============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 9173 was started by veroff on b146-23, Sun Aug 8 13:18:04 2021 The command was "prover9 -f aKperms_1.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 2015.39 (+ 97.13) seconds: "aK1 (4132)". % Length of proof is 12377. % Level of proof is 672. % Maximum clause weight is 513.000 (73 w/o degradation). % Given clauses 13407 (19.951 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 7 a(K(x,y),z,u) = a(K(u,x),z,y) # label("aK1 (4132)") # label(non_clause) # label(goal). [goal]. 12 1 * x = x. [assumption]. 13 x * 1 = x. [assumption]. 14 x \ (x * y) = y. [assumption]. 15 x * (x \ y) = y. [assumption]. 16 (x * y) / y = x. [assumption]. 17 (x / y) * y = x. [assumption]. 18 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 19 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(18),flip(a)]. 20 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 21 K(x,y) = (y * x) \ (x * y). [copy(20),flip(a)]. 22 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 23 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(22),flip(a)]. 24 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 25 R(x,y,z) = ((x * y) * z) / (y * z). [copy(24),flip(a)]. 26 x \ (y * x) = T(y,x). [assumption]. 27 T(x,y) = y \ (x * y). [copy(26),flip(a)]. 28 T(T(x,y),z) = T(T(x,z),y). [assumption]. 29 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 30 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(29),flip(a)]. 31 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 32 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(31),flip(a)]. 33 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 34 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(33),flip(a)]. 35 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 36 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 37 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 38 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 39 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 40 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 41 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 42 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 43 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 44 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 45 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 46 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 47 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 48 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 49 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 50 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 51 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 52 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 53 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 54 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 55 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 56 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 57 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 58 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 59 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 60 x != y | x * z = y * z # label("Aux 1"). [assumption]. 61 x != y | z * x = z * y # label("Aux 2"). [assumption]. 62 x != y | x / z = y / z # label("Aux 3"). [assumption]. 63 x != y | z / x = z / y # label("Aux 4"). [assumption]. 64 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 65 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 66 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 68 a(K(c8,c5),c7,c6) != a(K(c5,c6),c7,c8) # label("aK1 (4132)") # answer("aK1 (4132)"). [deny(7)]. 69 a(K(c5,c6),c7,c8) != a(K(c8,c5),c7,c6) # answer("aK1 (4132)"). [copy(68),flip(a)]. 78 1 \ x = x. [para(12(a,1),14(a,1,2))]. 79 x \ x = 1. [para(13(a,1),14(a,1,2))]. 80 x \ (x * (y \ (y * z))) = z. [para(14(a,2),14(a,1))]. 81 (x * (x \ 1)) * y = y. [para(15(a,2),12(a,1,1))]. 82 x * (y * (y \ 1)) = x. [para(15(a,2),13(a,1,2))]. 83 x \ (y * (y \ (x * z))) = z. [para(15(a,2),14(a,1,2))]. 84 x * (y * (y \ (x \ z))) = z. [para(15(a,2),15(a,1,2))]. 85 x / x = 1. [para(12(a,1),16(a,1,1))]. 86 x / 1 = x. [para(13(a,1),16(a,1,1))]. 87 x / (y \ x) = y. [para(15(a,1),16(a,1,1))]. 88 ((1 / x) * x) * y = y. [para(17(a,2),12(a,1,1))]. 89 x * ((1 / y) * y) = x. [para(17(a,2),13(a,1,2))]. 90 (x / y) \ x = y. [para(17(a,1),14(a,1,2))]. 91 (x \ (x * (y / z))) * z = y. [para(14(a,2),17(a,1,1))]. 92 ((x * (x \ y)) / z) * z = y. [para(17(a,2),15(a,1))]. 93 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(19(a,2),15(a,1,2))]. 94 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(15(a,1),19(a,2,2,1)),flip(a)]. 95 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(17(a,1),19(a,2,2,1)),flip(a)]. 96 (x * y) * K(y,x) = y * x. [para(21(a,2),15(a,1,2))]. 97 x \ ((y \ x) * y) = K(y \ x,y). [para(15(a,1),21(a,2,1)),flip(a)]. 98 ((x \ y) * x) \ y = K(x,x \ y). [para(15(a,1),21(a,2,2)),flip(a)]. 99 x \ (y * (x / y)) = K(y,x / y). [para(17(a,1),21(a,2,1)),flip(a)]. 100 (x * (y / x)) \ y = K(y / x,x). [para(17(a,1),21(a,2,2)),flip(a)]. 101 x \ (1 * (x * y)) = L(y,x,1). [para(12(a,1),23(a,2,1)),flip(a)]. 102 (x * y) \ (x * y) = L(1,y,x). [para(13(a,1),23(a,2,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(23(a,2),15(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(15(a,1),23(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(15(a,1),23(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(17(a,1),23(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(17(a,1),23(a,2,2,2))]. 108 (x * y) / (x * y) = R(1,x,y). [para(12(a,1),25(a,2,1,1)),flip(a)]. 109 ((x * 1) * y) / y = R(x,1,y). [para(12(a,1),25(a,2,2)),flip(a)]. 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(15(a,1),25(a,2,1,1))]. 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(15(a,1),25(a,2,1))]. 112 R(x,y,z) * (y * z) = (x * y) * z. [para(25(a,2),17(a,1,1))]. 113 R(x / y,y,z) = (x * z) / (y * z). [para(17(a,1),25(a,2,1,1))]. 114 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(17(a,1),25(a,2,2)),flip(a)]. 115 T(x,x) = x. [para(27(a,2),14(a,1))]. 116 x * T(y,x) = y * x. [para(27(a,2),15(a,1,2))]. 117 T(x,x \ y) = (x \ y) \ y. [para(15(a,1),27(a,2,2))]. 118 T(x / y,y) = y \ x. [para(17(a,1),27(a,2,2))]. 119 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(32(a,2),28(a,1,1)),flip(a)]. 120 x != y | 1 * z != y | x = z. [para(12(a,1),37(a,1))]. 121 1 * x != y | z != y | x = z. [para(12(a,1),37(b,1))]. 122 x != y | z * u != y | z \ x = u. [para(15(a,1),37(a,1))]. 123 x != y | z * u != y | x / u = z. [para(17(a,1),38(a,1))]. 124 x != y | z \ u != y | z * x = u. [para(14(a,1),41(a,1))]. 125 1 * x != y | x = y. [para(12(a,1),46(a,2))]. 126 x * y != x | 1 = y. [para(13(a,1),46(a,1)),flip(a)]. 128 x * y != z | x \ z = y. [para(15(a,1),46(a,1)),flip(a)]. 129 x * (x \ (y * z)) != y * u | z = u. [para(15(a,2),46(a,1))]. 130 (x / y) * z != x | y = z. [para(17(a,1),46(a,1)),flip(a)]. 132 x * 1 != y | y = x. [para(13(a,1),47(a,1)),flip(a)]. 133 x * 1 != y | x = y. [para(13(a,1),47(a,2))]. 134 x * (y \ z) != z | x = y. [para(15(a,1),47(a,2))]. 135 x * y != z | z / y = x. [para(17(a,1),47(a,1)),flip(a)]. 136 x / y != z | z * y = x. [para(16(a,1),49(a,1)),flip(a)]. 138 x \ y != z | x * z = y. [para(14(a,1),50(a,1)),flip(a)]. 140 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(23(a,2),51(a,1)),flip(a)]. 142 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(28(a,1),52(a,1))]. 143 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(30(a,2),52(a,1)),flip(a)]. 144 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(32(a,2),52(a,1)),flip(a)]. 146 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(34(a,2),53(a,1))]. 147 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(35(a,1),53(a,1))]. 148 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(32(a,1),54(a,1))]. 149 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(34(a,1),54(a,1)),flip(a)]. 150 ((x / y) * y) * z = x * z. [hyper(60,a,17,a)]. 151 (x * (x \ y)) * z = y * z. [hyper(60,a,15,a)]. 152 x * (y * (y \ z)) = x * z. [hyper(61,a,15,a)]. 153 ((x / y) * y) / z = x / z. [hyper(62,a,17,a)]. 154 (x * (x \ y)) \ z = y \ z. [hyper(64,a,15,a)]. 155 (x * y) / y = (x / z) * z. [hyper(66,a,17,a,b,16,a(flip)),flip(a)]. 156 (x / y) * y = z * (z \ x). [hyper(66,a,17,a,b,15,a(flip))]. 157 (x / y) * y = x * 1. [hyper(66,a,17,a,b,13,a(flip))]. 158 x \ (x * y) = z * (z \ y). [hyper(66,a,15,a,b,14,a(flip)),flip(a)]. 159 x * (x \ y) = y * 1. [hyper(66,a,15,a,b,13,a(flip))]. 160 1 \ (x * 1) = x. [hyper(66,a,78,a,b,13,a)]. 161 (x * (x \ 1)) \ y = y. [para(15(a,2),78(a,1,1))]. 162 ((1 / x) * x) \ y = y. [para(17(a,2),78(a,1,1))]. 163 1 \ x != y | y = x. [para(78(a,1),50(a,1)),flip(a)]. 165 K(x,x) = 1. [hyper(66,a,21,a,b,79,a)]. 166 x / ((1 / y) * y) = x. [para(17(a,2),86(a,1,2))]. 167 x / 1 != y | y = x. [para(86(a,1),49(a,1)),flip(a)]. 168 T(x,R(x,y,z)) = x. [hyper(45,a,32,a,b,115,a(flip))]. 169 T(x,L(x,y,z)) = x. [hyper(44,a,30,a,b,115,a(flip))]. 170 T(x,T(x,y)) = x. [hyper(43,a,28,a,b,115,a(flip))]. 171 T(T(x,y),x) = T(x,y). [para(115(a,1),28(a,1,1)),flip(a)]. 172 x / (y \ x) = z / (y \ z). [hyper(66,a,87,a,b,87,a(flip))]. 173 (x * y) / y = z / (x \ z). [hyper(66,a,87,a,b,16,a(flip)),flip(a)]. 174 x / (y \ x) = z * (z \ y). [hyper(66,a,87,a,b,15,a(flip))]. 175 (x / (y \ x)) * z = y * z. [hyper(60,a,87,a)]. 176 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(39,a,25,a(flip),b,87,a),flip(a)]. 177 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(19(a,2),87(a,1,2))]. 178 (x * (y * z)) / L(z,y,x) = x * y. [para(23(a,2),87(a,1,2))]. 179 (x * y) / T(x,y) = y. [para(27(a,2),87(a,1,2))]. 180 x / y != z | z \ x = y. [para(87(a,1),48(a,1)),flip(a)]. 181 x / (y / ((z \ x) \ y)) = z. [para(87(a,2),87(a,1,2))]. 182 ((x / y) \ x) * z = y * z. [hyper(60,a,90,a)]. 183 x * ((y / (x \ z)) \ y) = z. [hyper(41,a,14,a,b,90,a(flip))]. 184 ((x / (y / z)) \ x) \ y = z. [hyper(39,a,87,a,b,90,a(flip))]. 185 x \ y != z | y / z = x. [para(90(a,1),51(a,1)),flip(a)]. 186 T(x,1) = x. [hyper(66,a,27,a,b,160,a)]. 187 K(x,1) = 1. [hyper(58,a,186,a)]. 188 T(1,x) = 1. [hyper(57,a,186,a)]. 189 T(x,y \ y) = x. [para(79(a,2),186(a,1,2))]. 191 T(x,T(T(x,y),z)) = x. [hyper(43,a,28,a,b,170,a(flip))]. 192 T(x,y \ y) != z | x = z. [para(189(a,1),52(a,2))]. 193 ((1 / x) * x) * y != z | y = z. [para(17(a,2),125(a,1,1))]. 194 K(x,1) * y != z | y = z. [para(187(a,2),125(a,1,1))]. 195 x * (y * (y \ 1)) != z | z = x. [para(15(a,2),132(a,1,2))]. 196 x / (y * (y \ 1)) != z | z = x. [para(15(a,2),167(a,1,2))]. 197 T(x,R(T(x,y),z,u)) = x. [hyper(43,a,28,a,b,168,a(flip))]. 198 T(x,L(L(x,y,z),u,w)) = x. [hyper(44,a,30,a,b,169,a(flip))]. 199 T(T(x,y),L(x,z,u)) = T(x,y). [para(169(a,1),28(a,1,1)),flip(a)]. 200 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(81(a,1),25(a,2,1))]. 202 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(82(a,1),19(a,2,1)),flip(a)]. 203 L(x \ 1,x,y) = (y * x) \ y. [para(82(a,1),23(a,2,2))]. 204 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(88(a,1),19(a,2,2)),flip(a)]. 205 R(1 / x,x,y) = y / (x * y). [para(88(a,1),25(a,2,1))]. 206 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(89(a,1),19(a,2,1)),flip(a)]. 207 (x \ y) * T(x,x \ y) = y. [hyper(66,a,116,a,b,15,a)]. 208 T((x * y) / x,x) = y. [hyper(37,a,17,a(flip),b,116,a),flip(a)]. 209 (x * T(y,x)) / x = y. [hyper(38,a,17,a,b,116,a(flip))]. 210 x \ (y * T(x,y)) = y. [hyper(37,a,15,a,b,116,a(flip))]. 211 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(116(a,1),19(a,2,1,2)),flip(a)]. 212 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(116(a,1),19(a,2,2,1)),flip(a)]. 213 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(116(a,1),19(a,2,2)),flip(a)]. 214 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(116(a,1),21(a,2,1)),flip(a)]. 215 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(116(a,1),23(a,2,1)),flip(a)]. 216 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(116(a,1),23(a,2,2,2)),flip(a)]. 217 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(116(a,1),25(a,2,1,1)),flip(a)]. 218 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(116(a,1),25(a,2,1)),flip(a)]. 219 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(116(a,1),25(a,2,2)),flip(a)]. 220 T(x,y) \ (x * y) = T(y,T(x,y)). [para(116(a,1),27(a,2,2)),flip(a)]. 221 x * T(T(y,x),z) = T(y,z) * x. [para(28(a,1),116(a,1,2))]. 222 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(30(a,2),116(a,1,2))]. 223 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(32(a,2),116(a,1,2))]. 224 x * y != z | y * u != z | T(x,y) = u. [para(116(a,1),37(a,1))]. 225 x * y != z * x | T(z,x) = y. [para(116(a,1),46(a,1)),flip(a)]. 226 x * T(y,x) != y * z | z = x. [para(116(a,2),46(a,2)),flip(a)]. 227 x * T(y,x) != z * x | y = z. [para(116(a,2),47(a,1))]. 228 x * T(y,x) != z * x | z = y. [para(116(a,2),47(a,2)),flip(a)]. 229 T(x,y) * x = x * T(x,y). [para(170(a,1),116(a,1,2))]. 230 T(x / (x / y),x / y) = y. [hyper(66,a,118,a,b,90,a)]. 231 T(T(x / y,z),y) = T(y \ x,z). [para(118(a,1),28(a,1,1)),flip(a)]. 232 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(118(a,1),30(a,1,1)),flip(a)]. 233 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(118(a,1),32(a,1,1)),flip(a)]. 235 x * 1 != y * z | x / z = y. [para(157(a,1),47(a,1))]. 236 (x / y) * y != z | z = x. [para(157(a,2),132(a,1))]. 237 (x / y) * y != z | x = z. [para(157(a,2),133(a,1))]. 238 x \ (y * (y \ x)) = 1. [hyper(37,a,15,a,b,159,a(flip))]. 239 x * 1 != y * z | y \ x = z. [para(159(a,1),46(a,1))]. 240 x * (x \ y) != z | z = y. [para(159(a,2),132(a,1))]. 241 x * (x \ y) != z | y = z. [para(159(a,2),133(a,1))]. 242 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(66,a,23,a,b,161,a),flip(a)]. 243 K(x \ 1,x) = (x \ 1) * x. [hyper(66,a,21,a,b,161,a)]. 244 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(66,a,23,a,b,162,a),flip(a)]. 245 K(x,1 / x) = x * (1 / x). [hyper(66,a,21,a,b,162,a)]. 246 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(66,a,19,a,b,162,a),flip(a)]. 247 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(66,a,25,a,b,166,a),flip(a)]. 248 K(T(x,y),x) = 1. [hyper(58,a,171,a)]. 249 x / T(y,y \ x) = y \ x. [para(15(a,1),179(a,1,1))]. 250 (x * y) / z != y | T(x,y) = z. [para(179(a,1),48(a,1)),flip(a)]. 251 (x * y) / T(y,T(x,y)) = T(x,y). [para(116(a,1),179(a,1,1))]. 252 (x * T(T(y,x),z)) / x = T(y,z). [hyper(43,a,28,a,b,208,a),flip(a)]. 253 T(T((x * y) / x,z),x) = T(y,z). [para(208(a,1),28(a,1,1)),flip(a)]. 254 T(x,y) != z | (y * z) / y = x. [para(208(a,1),52(a,1)),flip(a)]. 255 T((x * y) / x,y) = (x * y) / x. [para(208(a,1),170(a,1,2))]. 256 K(x,(y * x) / y) = 1. [para(208(a,1),248(a,1,1))]. 257 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(30(a,2),210(a,1,2,2))]. 258 T(x,(y * x) / y) = x. [hyper(59,a,256,a)]. 259 x * y != x * z | z = y. [para(16(a,1),130(a,1,1))]. 260 x * L(y,z,u) != u * (z * y) | u * z = x. [para(23(a,2),134(a,1,2)),flip(b)]. 262 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(25(a,2),236(a,1,1)),flip(b)]. 263 x * T(y,x) != z | y * x = z. [para(179(a,1),236(a,1,1)),flip(b)]. 264 x * y != z | y * T(x,y) = z. [para(209(a,1),236(a,1,1)),flip(b)]. 265 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(23(a,2),240(a,1,2)),flip(b)]. 267 x \ ((x * y) * L(z,y,x)) = y * z. [para(23(a,2),83(a,1,2,2))]. 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(84(a,1),23(a,2,2))]. 269 ((x * (x \ y)) / z) \ y = z. [hyper(128,a,92,a)]. 271 x * K(y \ x,y) = (y \ x) * y. [para(15(a,1),96(a,1,1))]. 272 x * K(y,x / y) = y * (x / y). [para(17(a,1),96(a,1,1))]. 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(96(a,1),23(a,2,2,2)),flip(a)]. 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(96(a,1),25(a,2,1)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(96(a,1),46(a,1)),flip(a)]. 278 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(65,a,117,a)]. 279 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(63,a,117,a)]. 280 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(61,a,117,a)]. 281 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(60,a,117,a)]. 282 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(117(a,1),28(a,1,1)),flip(a)]. 284 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(117(a,2),117(a,1,2))]. 285 x != y | z != y | x = z. [para(12(a,1),120(b,1))]. 286 ((x / y) * y) * (x \ z) = z. [hyper(285,a,15,a(flip),b,150,a),flip(a)]. 287 x * y != z * y | (z / u) * u = x. [para(150(a,1),47(a,2)),flip(b)]. 288 (x / (y * (y \ z))) * z = x. [hyper(237,a,152,a),flip(a)]. 289 (((x / y) * y) / z) \ x = z. [hyper(39,a,87,a(flip),b,153,a),flip(a)]. 291 x / y != (z / u) * u | z * y = x. [para(155(a,1),49(a,1)),flip(a)]. 293 ((x / y) * y) * z != u | x * z = u. [para(155(a,1),236(a,1,1)),flip(b)]. 294 (x * y) / y != z | z = x. [para(155(a,2),236(a,1))]. 295 (x * y) / y != z | x = z. [para(155(a,2),237(a,1))]. 296 x / x != y | 1 = y. [para(12(a,1),294(a,1,1)),flip(b)]. 297 x / (y \ x) != z | z = y. [para(15(a,1),294(a,1,1))]. 298 (x * T(y,x)) / x != z | z = y. [para(116(a,2),294(a,1,1))]. 299 (x / y) * y != z * u | z \ x = u. [para(156(a,2),46(a,1))]. 300 x * (x \ y) != z * u | y / u = z. [para(156(a,1),47(a,1))]. 302 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),50(a,1)),flip(a)]. 303 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),240(a,1,2)),flip(b)]. 304 x \ (x * y) != z | z = y. [para(158(a,2),240(a,1))]. 305 x \ (x * y) != z | y = z. [para(158(a,2),241(a,1))]. 306 x \ x != y | 1 = y. [para(13(a,1),304(a,1,2)),flip(b)]. 307 (x / y) \ x != z | z = y. [para(17(a,1),304(a,1,2))]. 308 x \ (y * x) != z | T(y,x) = z. [para(116(a,1),304(a,1,2)),flip(b)]. 310 (x * y) \ (y * x) != z | K(y,x) = z. [para(96(a,1),304(a,1,2)),flip(b)]. 311 (x / y) \ x != z | y = z. [para(17(a,1),305(a,1,2))]. 312 x \ ((y / (x \ y)) * z) = z. [hyper(39,a,16,a,b,172,a),flip(a)]. 315 (x / (y \ x)) * z != u | y * z = u. [para(173(a,1),236(a,1,1)),flip(b)]. 316 (x * (x \ y)) \ z != u | y \ z = u. [para(174(a,1),307(a,1,1)),flip(b)]. 317 ((x / y) \ x) * (y \ z) = z. [hyper(285,a,15,a(flip),b,182,a),flip(a)]. 318 ((x / y) \ x) * z != u | y \ u = z. [para(182(a,2),128(a,1))]. 319 (x / y) * ((z / y) \ z) = x. [para(90(a,1),183(a,1,2,1,2))]. 320 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(207(a,1),23(a,2,2,2))]. 322 (x \ y) * z != y | T(x,x \ y) = z. [para(207(a,1),46(a,1)),flip(a)]. 324 T(x / (x / y),(z / (x / y)) \ z) = y. [para(90(a,2),230(a,1,2))]. 325 x * T(x \ 1,x) = K(x \ 1,x). [hyper(285,a,116,a,b,243,a)]. 326 (x \ 1) \ K(x \ 1,x) = x. [hyper(128,a,243,a(flip))]. 327 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(243(a,2),19(a,2,1,2)),flip(a)]. 328 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(243(a,2),25(a,2,1,1)),flip(a)]. 329 x \ K(x \ 1,x) = T(x \ 1,x). [para(243(a,2),27(a,2,2)),flip(a)]. 331 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(245(a,2),23(a,2,1)),flip(a)]. 332 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(32(a,2),249(a,1,2))]. 334 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(286(a,1),25(a,2,1))]. 335 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(25(a,2),288(a,1,1))]. 336 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(249(a,1),317(a,1,1,1))]. 337 x * ((y / z) \ y) != u | u / z = x. [para(319(a,1),47(a,1)),flip(a)]. 338 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(249(a,1),319(a,1,2,1))]. 339 (x \ 1) * x != y | K(x \ 1,x) = y. [para(326(a,1),240(a,1,2)),flip(b)]. 340 x \ (x * y) = L(y,x,1). [para(12(a,1),101(a,1,2))]. 341 L(x,y,1) = x. [hyper(305,a,340,a),flip(a)]. 342 L(x,y,1) = z \ (z * x). [hyper(285,a,14,a,b,341,a),flip(a)]. 344 L(x,y,1) != z \ (z * u) | u = x. [para(342(a,1),53(a,1)),flip(a)]. 345 L(1,x,y) = 1. [hyper(306,a,102,a),flip(a)]. 348 R(1,x,y) = 1. [hyper(296,a,108,a),flip(a)]. 351 (x * y) / y = R(x,1,y). [para(13(a,1),109(a,1,1,1))]. 352 R(x,1,y) = x. [hyper(295,a,351,a),flip(a)]. 355 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(196,a,25,a(flip)),flip(a)]. 356 L(x \ 1,x,1 / x) = 1 / x. [hyper(285,a,162,a(flip),b,203,a),flip(a)]. 357 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(285,a,154,a(flip),b,203,a),flip(a)]. 358 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(64,a,203,a)]. 359 x / L(y \ 1,y,x) = x * y. [hyper(185,a,203,a(flip))]. 360 (x * y) * L(y \ 1,y,x) = x. [hyper(138,a,203,a(flip))]. 361 L(x \ 1,x,y / x) = y \ (y / x). [para(17(a,1),203(a,2,1))]. 362 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(203(a,1),30(a,2,1)),flip(a)]. 363 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(203(a,1),34(a,1,1))]. 364 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(203(a,1),35(a,1,1)),flip(a)]. 365 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(60,a,205,a)]. 366 R(1 / x,x,x \ 1) = x \ 1. [hyper(196,a,205,a(flip))]. 367 R(1 / x,x,y) \ y = x * y. [hyper(180,a,205,a(flip))]. 368 R(1 / x,x,x \ y) = (x \ y) / y. [para(15(a,1),205(a,2,2))]. 369 R(1 / (x / y),x / y,y) = y / x. [para(17(a,1),205(a,2,2))]. 370 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(205(a,1),32(a,2,1)),flip(a)]. 371 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(205(a,1),36(a,1,1)),flip(a)]. 375 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(14(a,2),225(a,2)),flip(a)]. 376 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(28(a,1),227(a,1,2))]. 379 (x / y) * y != z * u | x / u = z. [para(157(a,2),235(a,1))]. 380 x * (y * (y \ 1)) != z * u | z \ x = u. [para(15(a,2),239(a,1,2))]. 381 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),239(a,1))]. 382 (x * y) / z != K(x,y) | T(y * x,K(x,y)) = z. [para(96(a,1),250(a,1,1))]. 383 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(28(a,1),263(a,1,2))]. 384 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(30(a,2),263(a,1,2))]. 385 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(32(a,2),263(a,1,2))]. 386 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(116(a,1),308(a,1,2))]. 388 x / y != x * z | L(z \ 1,z,x) = y. [para(359(a,1),48(a,1)),flip(a)]. 389 x / L(y,1 / y,x) = x * (1 / y). [para(90(a,1),359(a,1,2,1))]. 390 (x * y) * z != x | L(y \ 1,y,x) = z. [para(359(a,1),130(a,1,1))]. 391 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(359(a,1),307(a,1,1)),flip(b)]. 392 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),317(a,1,1,1))]. 393 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(360(a,1),23(a,2,2,2))]. 394 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(87(a,1),367(a,1,1,1))]. 395 x / (y * x) != z | R(1 / y,y,x) = z. [para(367(a,1),297(a,1,2)),flip(b)]. 396 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(14(a,1),97(a,2,1)),flip(a)]. 397 K(x \ 1,x) != y | (x \ 1) * x = y. [para(97(a,1),163(a,1)),flip(b)]. 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(116(a,2),97(a,1,2))]. 399 x * K(y \ x,y) != z | (y \ x) * y = z. [para(97(a,1),240(a,1,2)),flip(b)]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(243(a,2),98(a,1,1))]. 402 K(x,1 / x) != y | x * (1 / x) = y. [para(99(a,1),163(a,1)),flip(b)]. 403 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(122,a,23,a,b,162,a(flip))]. 404 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(122,a,23,a,b,161,a(flip))]. 406 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(123,a,203,a,b,12,a)]. 407 R(x,1 / y,y) / y = x * (1 / y). [hyper(123,a,25,a,b,166,a(flip))]. 408 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(123,a,203,a(flip),b,12,a)]. 409 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(124,a,117,a,b,90,a)]. 410 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(124,a,35,a,b,23,a(flip))]. 411 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(124,a,34,a,b,23,a(flip))]. 412 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(124,a,23,a,b,154,a(flip))]. 413 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(124,a,30,a(flip),b,23,a(flip))]. 414 x * T(x \ (y * x),z) = T(y,z) * x. [para(27(a,1),221(a,1,2,1))]. 415 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(28(a,1),221(a,1,2,1))]. 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(170(a,1),221(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(118(a,1),221(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(208(a,1),221(a,1,2,1)),flip(a)]. 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(117(a,1),221(a,1,2,1))]. 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(254,a,231,a)]. 421 T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). [para(231(a,1),28(a,1,1)),flip(a)]. 423 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(231(a,1),263(a,1,2))]. 424 T(T(x / y,z),u) * y = y * T(T(y \ x,z),u). [para(231(a,1),221(a,1,2,1)),flip(a)]. 425 (x * T(y,z)) / x = T((x * y) / x,z). [para(208(a,1),252(a,1,1,2,1))]. 426 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(253(a,1),52(a,2)),flip(b)]. 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(253(a,1),227(a,1,2))]. 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(253(a,1),298(a,1,1,2)),flip(b)]. 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),23(a,2,2,2)),flip(a)]. 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),304(a,1,2)),flip(b)]. 433 x * K(y,x / y) != y * z | x / y = z. [para(272(a,2),46(a,1))]. 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),304(a,1,2)),flip(b)]. 436 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(185,a,401,a)]. 437 (x * y) / L(z \ y,z,x) = x * z. [hyper(123,a,152,a(flip),b,103,a)]. 438 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(123,a,17,a(flip),b,103,a)]. 439 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(66,a,150,a(flip),b,103,a)]. 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),23(a,2,1)),flip(a)]. 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),23(a,2,2,2)),flip(a)]. 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(103(a,1),25(a,2,1,1)),flip(a)]. 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(103(a,1),25(a,2,1)),flip(a)]. 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),46(a,1)),flip(a)]. 446 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(116(a,1),103(a,1,1))]. 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),304(a,1,2)),flip(b)]. 448 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(243(a,2),103(a,1,1))]. 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),193(a,1))]. 450 L(x \ T(y * x,y),x,y) = y. [hyper(285,a,210,a(flip),b,105,a),flip(a)]. 451 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(285,a,162,a(flip),b,105,a),flip(a)]. 452 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(285,a,161,a(flip),b,105,a),flip(a)]. 453 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(285,a,154,a(flip),b,105,a),flip(a)]. 454 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(17(a,1),105(a,2,1))]. 455 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(17(a,1),105(a,2,2))]. 456 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(19(a,2),105(a,1,1)),flip(a)]. 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(116(a,1),105(a,2,1))]. 458 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(116(a,1),105(a,2,2))]. 459 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 460 (R(x,y,z) * (y * z)) / z = x * y. [hyper(123,a,112,a,b,xx)]. 461 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(122,a,286,a(flip),b,112,a)]. 462 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(122,a,151,a(flip),b,112,a)]. 463 R(x / y,y,z) \ (x * z) = y * z. [hyper(122,a,150,a(flip),b,112,a)]. 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,82,a(flip),b,112,a(flip))]. 465 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(122,a,82,a(flip),b,112,a(flip))]. 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(122,a,112,a(flip),b,103,a)]. 467 R(x,y / z,z) * y = (x * (y / z)) * z. [para(17(a,1),112(a,1,2))]. 468 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(112(a,1),19(a,2,1)),flip(a)]. 469 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(112(a,1),25(a,2,1,1)),flip(a)]. 470 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(112(a,1),25(a,2,2)),flip(a)]. 471 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(32(a,1),112(a,1,1))]. 472 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(34(a,1),112(a,1,1))]. 473 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(36(a,1),112(a,1,1))]. 474 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(112(a,2),46(a,2)),flip(a)]. 475 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(112(a,1),47(a,1))]. 476 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(116(a,1),112(a,1,2))]. 477 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(112(a,1),96(a,1,1))]. 478 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(96(a,1),112(a,1,2))]. 479 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(112(a,1),294(a,1,1)),flip(b)]. 480 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(112(a,2),294(a,1,1)),flip(b)]. 481 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(243(a,2),112(a,1,2))]. 482 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(112(a,1),195(a,1)),flip(b)]. 484 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(112(a,1),103(a,1,1))]. 485 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(112(a,1),112(a,1,2))]. 486 R(x / (1 / y),1 / y,y) = x * y. [hyper(285,a,166,a(flip),b,113,a),flip(a)]. 487 R((x / y) / z,z,y) = x / (z * y). [hyper(285,a,153,a(flip),b,113,a),flip(a)]. 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(196,a,113,a(flip))]. 489 R(x / (y / z),y / z,z) = (x * z) / y. [para(17(a,1),113(a,2,2))]. 490 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(113(a,1),32(a,2,1)),flip(a)]. 491 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(229(a,1),113(a,2,2))]. 492 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(113(a,2),196(a,1)),flip(b)]. 493 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(112(a,1),113(a,2,1))]. 494 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(112(a,1),113(a,2,2))]. 495 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(113(a,2),113(a,1,1))]. 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(96(a,1),176(a,1,2,1))]. 498 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),176(a,1,2,1))]. 499 (x * y) / L(z,y / z,x) = x * (y / z). [para(17(a,1),178(a,1,1,2))]. 501 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(116(a,1),178(a,1,1,2))]. 502 R(x,x \ 1,(x \ 1) \ y) = ((x \ 1) \ y) / y. [para(15(a,1),200(a,2,2))]. 503 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(122,a,35,a,b,242,a)]. 504 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(122,a,30,a(flip),b,242,a)]. 505 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(242(a,1),46(a,1))]. 506 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(122,a,35,a,b,244,a)]. 507 L(x,y / x,1 / (y / x)) = (1 / (y / x)) * y. [para(17(a,1),244(a,1,2)),flip(a)]. 508 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(123,a,34,a(flip),b,247,a)]. 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),30(a,2,1))]. 513 (x * (x \ y)) * z != u | y * z = u. [para(87(a,1),293(a,1,1,1))]. 515 1 * x != y * z | y \ x = z. [para(85(a,1),299(a,1,1))]. 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(179(a,1),299(a,1,1))]. 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(155(a,1),299(a,1,1))]. 519 (x * (x \ 1)) * y != z * u | z \ y = u. [para(15(a,2),515(a,1,1))]. 525 ((1 / x) * x) * y != z * u | y / u = z. [para(162(a,1),300(a,1,2))]. 526 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(158(a,1),300(a,1,2))]. 533 x \ y != z * T(u,z) | x * (u * z) = y. [para(27(a,2),302(a,2,2))]. 534 x \ y != (z / u) * u | x * z = y. [para(90(a,1),302(a,2,2))]. 535 x \ (x * y) != z \ u | z * y = u. [para(158(a,2),302(a,2)),flip(a)]. 539 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(242(a,1),303(a,1))]. 542 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(123,a,34,a(flip),b,355,a)]. 543 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(122,a,355,a(flip),b,116,a)]. 544 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(117(a,2),355(a,1,2))]. 545 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(112(a,1),355(a,1,1)),flip(a)]. 546 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(357(a,1),169(a,1,2))]. 547 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(361(a,1),30(a,2,1)),flip(a)]. 548 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(368(a,1),32(a,2,1)),flip(a)]. 549 (((x / y) / z) * z) * y != u * w | x / w = u. [para(17(a,2),379(a,1,1))]. 550 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(155(a,1),379(a,1,1))]. 551 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(15(a,2),381(a,1,2))]. 552 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),381(a,1,2))]. 554 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(389(a,1),48(a,1)),flip(a)]. 555 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(394(a,1),51(a,1)),flip(a)]. 556 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(404(a,1),240(a,1,2)),flip(b)]. 560 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(407(a,1),236(a,1,1)),flip(b)]. 561 x / L(y \ z,y,x / z) = (x / z) * y. [hyper(66,a,153,a(flip),b,437,a)]. 563 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(437(a,1),307(a,1,1)),flip(b)]. 564 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(451(a,1),30(a,2,1))]. 565 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(451(a,1),34(a,1,1)),flip(a)]. 566 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(452(a,1),30(a,2,1))]. 567 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(452(a,1),169(a,1,2))]. 570 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(116(a,1),463(a,1,2))]. 571 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(205(a,2),463(a,1,1,1))]. 572 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(486(a,1),32(a,2,1))]. 573 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),32(a,2,1))]. 574 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(488(a,1),34(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),36(a,1,1)),flip(a)]. 576 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),168(a,1,2))]. 577 T(x * (y \ 1),x / y) = x * (y \ 1). [hyper(57,a,576,a)]. 578 x \ y != (z / (u \ z)) * w | x * (u * w) = y. [para(173(a,1),534(a,2,1))]. 582 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(66,a,103,a(flip),b,222,a)]. 583 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(122,a,222,a(flip),b,103,a(flip))]. 584 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(222(a,1),19(a,2,1,2)),flip(a)]. 585 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(27(a,1),222(a,1,2,1))]. 586 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(32(a,2),222(a,1,2,1))]. 587 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(118(a,1),222(a,1,2,1)),flip(a)]. 588 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(208(a,1),222(a,1,2,1)),flip(a)]. 589 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(122,a,112,a(flip),b,223,a)]. 591 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(28(a,1),223(a,1,2,1))]. 592 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(223(a,1),46(a,1))]. 593 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(118(a,1),223(a,1,2,1)),flip(a)]. 594 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(208(a,1),223(a,1,2,1)),flip(a)]. 595 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(117(a,1),223(a,1,2,1))]. 596 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(230(a,1),223(a,1,2,1)),flip(a)]. 597 T(x / y,(z / y) \ z) = y \ x. [hyper(224,a,319,a,b,317,a)]. 598 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(224,a,103,a(flip),b,150,a(flip))]. 599 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(254,a,232,a)]. 600 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(254,a,233,a)]. 601 T(x / (y * x),y) = R(y \ 1,y,x). [para(205(a,1),233(a,1,1))]. 602 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(366(a,1),233(a,1,1)),flip(a)]. 603 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(113(a,1),233(a,1,1))]. 604 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(369(a,1),233(a,1,1)),flip(a)]. 605 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(487(a,1),233(a,1,1)),flip(a)]. 606 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),233(a,1,1)),flip(a)]. 607 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(124,a,601,a(flip),b,27,a(flip)),flip(a)]. 608 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(601(a,1),263(a,1,2))]. 609 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(278(a,1),50(a,1))]. 610 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(278(a,2),249(a,1,2,2))]. 611 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(295,a,279,a),flip(a)]. 612 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(279(a,1),136(a,1))]. 614 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(263,a,281,a),flip(a)]. 615 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(224,a,281,a,b,116,a)]. 616 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(122,a,281,a,b,xx)]. 617 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(281(a,2),21(a,2,1)),flip(a)]. 618 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(281(a,2),310(a,1,1))]. 619 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(282(a,1),263(a,1,2))]. 620 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(282(a,1),221(a,1,2,1))]. 621 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(17(a,1),391(a,1,1))]. 622 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(116(a,1),395(a,1,2))]. 623 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(245(a,2),395(a,1,2))]. 624 K(x \ (x * y),x) = K(y,x). [hyper(285,a,97,a(flip),b,396,a)]. 625 K(x \ (x * y),z) = K(y,z). [para(80(a,1),624(a,1,1)),flip(a)]. 626 K((x / y) \ x,z) = K(y,z). [para(17(a,1),625(a,1,1,2))]. 627 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(409(a,1),294(a,1,1)),flip(b)]. 628 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(66,a,281,a(flip),b,418,a)]. 629 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),236(a,1,1)),flip(b)]. 630 T(x / y,y) != z | y \ x = z. [para(420(a,1),298(a,1)),flip(b)]. 632 T(x,x \ y) != z | (x \ y) \ y = z. [para(87(a,1),630(a,1,1))]. 633 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(179(a,1),630(a,1,1))]. 634 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(249(a,1),630(a,1,1))]. 635 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(117(a,2),632(a,1,2))]. 636 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(98(a,1),632(a,1,2))]. 637 T((x * y) / x,L(y,z,u)) = (x * y) / x. [para(169(a,1),425(a,1,1,2)),flip(a)]. 638 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(118(a,1),425(a,1,1,2)),flip(a)]. 639 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(425(a,1),236(a,1,1)),flip(b)]. 640 T(x * y,(x \ 1) \ y) = x * y. [hyper(57,a,567,a)]. 641 T(x * ((y \ x) \ 1),y) = x * ((y \ x) \ 1). [para(87(a,1),577(a,1,2))]. 642 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(616(a,1),240(a,1,2)),flip(b)]. 644 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(15(a,1),93(a,1,1,2))]. 645 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(17(a,1),93(a,1,1,2))]. 646 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(116(a,1),93(a,1,1,2))]. 647 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(93(a,1),304(a,1,2)),flip(b)]. 648 (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. [para(93(a,1),535(a,1,2))]. 649 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(124,a,35,a,b,104,a)]. 650 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(116(a,1),104(a,1,2,2)),flip(a)]. 651 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(124,a,35,a,b,106,a)]. 652 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),163(a,1)),flip(b)]. 653 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(106(a,1),240(a,1,2)),flip(b)]. 654 L(x,y / x,z / y) = ((z / y) * (y / x)) \ z. [para(17(a,1),107(a,2,2))]. 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),269(a,1,1))]. 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(110(a,2),289(a,1,1))]. 657 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(355(a,1),202(a,1,2))]. 658 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(138,a,657,a)]. 659 x \ y != z * a(z,u,u \ 1) | x * R(z,u,u \ 1) = y. [para(657(a,1),302(a,2,2))]. 661 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(247(a,1),206(a,1,2))]. 662 L(T(x,y),y,x) = T(x,x * y). [hyper(308,a,216,a),flip(a)]. 663 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(112(a,1),216(a,1,2))]. 664 T(L(x,y,x),y) = T(x,x * y). [hyper(66,a,30,a(flip),b,662,a)]. 665 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(662(a,1),30(a,2,1))]. 666 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(662(a,1),34(a,1,1)),flip(a)]. 667 x * T(y,y * x) = L(y,x,y) * x. [para(662(a,1),222(a,1,2))]. 668 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(662(a,2),223(a,1,2,1))]. 669 (x * T(y,y * x)) / x = L(y,x,y). [hyper(254,a,664,a)]. 670 T((x * y) / x,y * x) = L(y,x,y). [hyper(43,a,253,a,b,664,a)]. 671 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(664(a,1),222(a,1,2,1))]. 672 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(15(a,1),667(a,1,2,2)),flip(a)]. 674 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(116(a,1),667(a,1,2,2)),flip(a)]. 676 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(15(a,1),670(a,1,2))]. 677 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(670(a,1),28(a,1,1)),flip(a)]. 678 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(274(a,1),417(a,1,1,1)),flip(a)]. 679 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(66,a,223,a,b,335,a)]. 680 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(122,a,335,a(flip),b,223,a)]. 681 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(14(a,1),335(a,1,1,3))]. 682 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(34(a,1),335(a,1,1))]. 683 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(285,a,27,a,b,358,a),flip(a)]. 684 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(124,a,362,a,b,23,a(flip))]. 685 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(241,a,365,a),flip(a)]. 686 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(630,a,370,a),flip(a)]. 687 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(117(a,1),376(a,1,2))]. 688 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(27(a,1),383(a,1,2,1))]. 689 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(392(a,1),304(a,1,2)),flip(b)]. 690 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(412(a,1),46(a,1))]. 691 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(412(a,1),304(a,1,2)),flip(b)]. 692 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(116(a,2),431(a,1,2))]. 693 L(x \ y,x,y / x) = T(y / x,y). [hyper(224,a,152,a(flip),b,439,a),flip(a)]. 695 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(453(a,1),30(a,2,1))]. 696 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(453(a,1),34(a,1,1)),flip(a)]. 697 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(455(a,1),30(a,2,1)),flip(a)]. 698 K(x,y) = L(x \ T(x,y),x,y). [hyper(285,a,21,a,b,458,a)]. 699 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(458(a,1),30(a,2,1))]. 700 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(462(a,1),297(a,1,2)),flip(b)]. 701 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(467(a,1),47(a,1))]. 702 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(489(a,1),32(a,2,1))]. 703 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(489(a,1),36(a,1,1)),flip(a)]. 704 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(205(a,2),489(a,1,1,2))]. 705 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(205(a,2),489(a,1,2))]. 706 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(489(a,1),233(a,1,1)),flip(a)]. 707 x / L(y,z / y,x / z) = (x / z) * (z / y). [hyper(66,a,153,a(flip),b,499,a)]. 708 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(499(a,1),118(a,1,1))]. 709 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(501(a,1),307(a,1,1)),flip(b)]. 713 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(14(a,1),603(a,2,1)),flip(a)]. 714 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(15(a,1),603(a,1,1,2))]. 715 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(603(a,1),231(a,1,1))]. 716 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(605(a,1),335(a,1,1)),flip(a)]. 717 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(66,a,355,a,b,606,a)]. 718 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(14(a,1),606(a,1,1)),flip(a)]. 719 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(17(a,1),607(a,1,1,2)),flip(a)]. 721 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(607(a,1),310(a,1,1))]. 722 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(124,a,665,a(flip),b,23,a(flip))]. 723 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(15(a,1),685(a,1,1,2))]. 724 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [hyper(124,a,713,a,b,27,a(flip)),flip(a)]. 725 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(166(a,1),713(a,2,1)),flip(a)]. 726 T(R(x,y,x),y * x) = T(x,y). [para(713(a,2),253(a,1,1))]. 727 R(T(x,y * x),y,x) = T(x,y). [hyper(66,a,32,a,b,726,a)]. 728 T(x,y * z) != T(z,y) | R(z,y,z) = x. [para(726(a,1),52(a,1)),flip(a)]. 729 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(726(a,1),223(a,1,2,1)),flip(a)]. 730 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(43,a,713,a(flip),b,727,a(flip))]. 731 R(T(x,y),y / x,x) = T(x,y / x). [para(17(a,1),727(a,1,1,2))]. 733 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(727(a,1),112(a,1,1)),flip(a)]. 734 R(x,1 / x,x) = T(x,1 / x). [para(186(a,1),731(a,1,1))]. 735 T(x,1 / x) / x = x * (1 / x). [hyper(123,a,734,a(flip),b,247,a)]. 736 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(734(a,1),36(a,1,1)),flip(a)]. 737 T(x,1 / x) / x = K(x,1 / x). [hyper(285,a,245,a,b,735,a),flip(a)]. 738 T(x * T(y,x * y),y) = x * y. [hyper(250,a,730,a)]. 739 (x * T(y,x * y)) * y = y * (x * y). [hyper(136,a,730,a),flip(a)]. 740 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(285,a,17,a(flip),b,738,a),flip(a)]. 741 (x * (y * x)) / x = y * T(x,y * x). [hyper(254,a,738,a)]. 743 T((x / y) * T(y,x),y) = x. [para(17(a,1),740(a,1,1,2,2))]. 744 (x / y) * T(y,x) = (y * x) / y. [hyper(254,a,743,a),flip(a)]. 745 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(315,a,744,a),flip(a)]. 746 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(224,a,744,a,b,15,a),flip(a)]. 747 ((x * y) / x) / T(x,y) = y / x. [hyper(135,a,744,a)]. 748 T(x,y) = (y / x) \ ((x * y) / x). [hyper(128,a,744,a),flip(a)]. 750 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),744(a,1,1)),flip(a)]. 751 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(389(a,1),744(a,1,1)),flip(a)]. 752 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(285,a,16,a(flip),b,747,a),flip(a)]. 753 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(39,a,173,a(flip),b,747,a)]. 754 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(752(a,1),299(a,1,1))]. 755 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(752(a,1),379(a,1,1))]. 756 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(254,a,718,a)]. 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(285,a,32,a,b,119,a)]. 760 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(36(a,1),262(a,1,1))]. 761 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(116(a,1),262(a,1,2))]. 762 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(30(a,1),265(a,1,2))]. 763 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(34(a,2),265(a,1,2))]. 764 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(243(a,2),265(a,1,1))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(96(a,1),445(a,1,1)),flip(a)]. 767 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(116(a,1),447(a,1,1))]. 768 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(84(a,1),447(a,1,2))]. 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. 770 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(93(a,1),447(a,1,2,2))]. 771 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(116(a,1),449(a,1,2))]. 774 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(223(a,1),479(a,1,2))]. 776 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(243(a,2),556(a,1,2))]. 778 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(357(a,1),587(a,2,2))]. 779 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(135,a,588,a),flip(a)]. 780 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(123,a,103,a(flip),b,588,a),flip(a)]. 781 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(593(a,1),355(a,1,1))]. 782 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(274(a,1),593(a,1,1,1)),flip(a)]. 783 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(135,a,594,a),flip(a)]. 784 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(128,a,594,a)]. 785 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(123,a,594,a(flip),b,335,a(flip))]. 786 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(123,a,594,a(flip),b,112,a(flip))]. 787 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(599(a,1),236(a,1,1)),flip(b)]. 788 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(203(a,1),599(a,1,1,2))]. 789 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),599(a,1,1,2)),flip(a)]. 790 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(357(a,1),599(a,1,1,2))]. 791 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(452(a,1),599(a,1,1,2))]. 792 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(698(a,2),599(a,1,1,2)),flip(a)]. 794 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(23(a,2),600(a,1,1,2,1))]. 795 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(90(a,1),600(a,1,1,2,1))]. 796 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(600(a,1),236(a,1,1)),flip(b)]. 797 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(254,a,638,a)]. 798 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [hyper(124,a,638,a(flip),b,27,a(flip)),flip(a)]. 800 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(638(a,1),263(a,1,2))]. 801 T(x,y * ((x \ y) \ 1)) = x. [hyper(57,a,641,a)]. 802 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(271(a,2),717(a,1,1))]. 805 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(118(a,1),757(a,1,1,1)),flip(a)]. 806 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(124,a,779,a(flip),b,23,a(flip))]. 807 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(361(a,1),779(a,2,1,2))]. 808 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(451(a,1),779(a,2,1,2))]. 809 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(452(a,1),779(a,2,1,2))]. 810 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(453(a,1),779(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(486(a,1),783(a,2,1,2))]. 813 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(487(a,1),783(a,2,1,2))]. 814 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),783(a,2,1,2))]. 815 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(783(a,1),262(a,1,1))]. 816 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(124,a,35,a,b,215,a)]. 817 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(66,a,425,a(flip),b,219,a)]. 818 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(246(a,1),465(a,1,1))]. 819 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(124,a,363,a,b,215,a)]. 820 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(124,a,363,a,b,23,a(flip))]. 821 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(602(a,1),363(a,2,1))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(285,a,105,a(flip),b,364,a),flip(a)]. 823 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(124,a,364,a(flip),b,23,a(flip))]. 824 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(356(a,1),364(a,1,1)),flip(a)]. 826 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(652,a,824,a)]. 827 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(15(a,1),824(a,1,1,1))]. 828 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(230(a,1),385(a,1,2,1))]. 829 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),413(a,1,2,1))]. 830 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),413(a,1,2,1))]. 831 (x * y) * T(T((x * y) \ x,z),u) = x * (y * T(T(y \ 1,z),u)). [para(362(a,2),413(a,1,2,1))]. 833 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(457(a,1),30(a,2,1))]. 834 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),34(a,1,1)),flip(a)]. 835 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(457(a,1),35(a,1,1)),flip(a)]. 836 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(113(a,1),471(a,1,1,1))]. 837 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(630,a,490,a),flip(a)]. 838 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(452(a,1),504(a,1,2,1)),flip(a)]. 839 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),265(a,1,2))]. 841 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(124,a,547,a,b,106,a),flip(a)]. 842 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(548(a,2),335(a,1,1))]. 845 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(122,a,564,a(flip),b,244,a)]. 846 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(362(a,1),564(a,1,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(179(a,1),570(a,1,1,1))]. 848 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(123,a,572,a(flip),b,247,a),flip(a)]. 849 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(123,a,573,a(flip),b,355,a)]. 850 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(203(a,1),582(a,2,1)),flip(a)]. 851 T(x,y) = (y * x) \ ((x * y) * x). [hyper(285,a,727,a(flip),b,589,a)]. 852 (x * y) * T(y,x) = (y * x) * y. [hyper(124,a,727,a(flip),b,589,a)]. 853 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(116(a,1),589(a,1,2,1)),flip(a)]. 854 R(T(x,y * L(z,y,x)),y,L(z,y,x)) = (y * L(z,y,x)) \ (x * (y * z)). [para(103(a,1),589(a,1,2)),flip(a)]. 855 ((x \ 1) * x) \ x = T(x,x \ 1). [para(81(a,1),851(a,2,2)),flip(a)]. 857 (x * (y / x)) * x = y * T(x,y / x). [hyper(293,a,852,a),flip(a)]. 858 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(122,a,852,a(flip),b,96,a)]. 859 K(x \ 1,x) \ x = T(x,x \ 1). [para(243(a,2),855(a,1,1))]. 860 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(124,a,117,a(flip),b,859,a)]. 861 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(335(a,1),592(a,1))]. 862 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(598(a,1),418(a,1,1))]. 863 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(87(a,1),629(a,1,1,1))]. 865 ((1 / x) * (x / y)) * y = a(1 / x,x / y,y). [hyper(193,a,645,a),flip(a)]. 867 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(285,a,30,a,b,677,a),flip(a)]. 868 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(122,a,150,a(flip),b,679,a),flip(a)]. 869 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(681(a,1),47(a,1))]. 870 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(214(a,1),789(a,2,1,2))]. 871 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(862(a,1),47(a,1))]. 873 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(116(a,1),647(a,1,1,2))]. 875 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(14(a,1),797(a,1,1,2,1,2))]. 876 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(797(a,1),236(a,1,1)),flip(b)]. 877 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(66,a,464,a,b,798,a)]. 878 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(87(a,1),798(a,1,1,1,2)),flip(a)]. 879 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(113(a,2),798(a,1,1,1,2))]. 880 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(113(a,1),805(a,1,1,1))]. 881 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(688,a,838,a),flip(a)]. 882 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(263,a,838,a),flip(a)]. 883 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(13(a,1),838(a,2,2,1))]. 884 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(15(a,1),838(a,2,2,1))]. 885 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(838(a,1),263(a,1))]. 886 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(66,a,419,a(flip),b,883,a)]. 888 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(886(a,1),310(a,1,2))]. 889 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(886(a,1),215(a,1,2,2))]. 890 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(533,a,845,a)]. 891 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(13(a,1),845(a,1,2,1))]. 892 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(15(a,1),845(a,1,2,1)),flip(a)]. 894 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(891(a,1),698(a,2,1)),flip(a)]. 895 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(90(a,1),894(a,1,1,2,1))]. 896 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(639,a,848,a),flip(a)]. 897 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(629,a,848,a)]. 898 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(12(a,1),848(a,2,1,1))]. 899 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(118(a,1),848(a,1,1)),flip(a)]. 900 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(848(a,1),629(a,1))]. 901 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(629,a,898,a)]. 902 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(898(a,1),629(a,1))]. 903 (1 / x) * T(x,y) = T(x,y) / x. [para(90(a,1),901(a,1,2,1))]. 904 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(901(a,1),894(a,1,1))]. 905 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(315,a,903,a),flip(a)]. 906 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(224,a,903,a,b,15,a),flip(a)]. 907 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(135,a,903,a)]. 908 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(66,a,280,a(flip),b,903,a),flip(a)]. 909 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(903(a,1),21(a,2,1)),flip(a)]. 910 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(903(a,1),315(a,1))]. 911 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(903(a,1),670(a,1,2))]. 912 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(621,a,906,a)]. 913 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(117(a,1),908(a,1,1)),flip(a)]. 914 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(285,a,417,a(flip),b,849,a),flip(a)]. 915 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(15(a,1),882(a,1,2,1)),flip(a)]. 917 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(123,a,884,a(flip),b,417,a)]. 918 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(123,a,884,a(flip),b,116,a(flip))]. 919 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(263,a,892,a)]. 920 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(892(a,1),398(a,1,2))]. 921 (1 / x) \ T((y \ (1 / x)) * y,x) = (x \ K(y \ (1 / x),y)) * x. [para(97(a,1),919(a,1,1,2)),flip(a)]. 923 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(17(a,1),899(a,1,1,1)),flip(a)]. 924 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(285,a,838,a(flip),b,914,a),flip(a)]. 925 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(136,a,914,a)]. 926 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(17(a,1),914(a,1,1,1)),flip(a)]. 927 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(32(a,2),918(a,1,1,2))]. 929 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(923(a,1),98(a,1,1)),flip(a)]. 930 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(14(a,1),925(a,1,1,2,1)),flip(a)]. 931 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(263,a,926,a)]. 932 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(115(a,1),930(a,2,1,2))]. 933 K((x * y) * (x \ 1),y) = 1. [hyper(58,a,932,a)]. 934 K(((1 / x) * y) * x,y) = 1. [para(90(a,1),933(a,1,1,2))]. 935 K(x * y,(1 / y) \ x) = 1. [para(15(a,1),934(a,1,1,1))]. 936 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(903(a,1),331(a,1,2,2))]. 937 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),410(a,1,2,1))]. 938 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),410(a,1,2,1))]. 939 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(662(a,1),410(a,1,2,1))]. 940 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),411(a,1,2,1))]. 941 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),411(a,1,2,1))]. 942 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,448,a),flip(a)]. 943 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(122,a,472,a(flip),b,582,a)]. 944 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(487(a,1),472(a,1,1,1)),flip(a)]. 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(113(a,1),473(a,1,1,1))]. 946 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(886(a,1),497(a,1,1,1))]. 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(452(a,1),503(a,1,2,1)),flip(a)]. 949 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(356(a,1),506(a,1,2,1))]. 950 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(451(a,1),506(a,1,2,1))]. 951 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(734(a,1),508(a,1,1,1))]. 952 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(30(a,1),951(a,1,1))]. 953 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(38,a,923,a,b,952,a(flip))]. 954 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(185,a,953,a)]. 955 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(138,a,953,a)]. 957 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(40,a,173,a,b,954,a),flip(a)]. 958 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(955(a,1),105(a,2,1))]. 959 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(955(a,1),670(a,1,2))]. 961 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(203(a,1),957(a,2,2))]. 962 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(180,a,961,a)]. 963 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(136,a,961,a)]. 964 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(15(a,1),962(a,1,1,2,1))]. 966 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(963(a,1),21(a,2,1)),flip(a)]. 968 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),542(a,1,1,1))]. 969 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(652,a,565,a)]. 970 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(821(a,1),565(a,1,1))]. 971 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [hyper(66,a,650,a(flip),b,695,a)]. 972 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(124,a,695,a(flip),b,104,a),flip(a)]. 973 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(695(a,1),30(a,2,1))]. 974 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(702(a,1),467(a,1,1)),flip(a)]. 975 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [hyper(66,a,32,a,b,715,a)]. 976 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(785(a,1),118(a,1,1)),flip(a)]. 977 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(368(a,1),785(a,1,1,2))]. 978 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(904(a,1),587(a,1,1)),flip(a)]. 979 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(942(a,1),46(a,1)),flip(a)]. 980 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(12(a,1),975(a,2,1,2))]. 981 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(14(a,1),975(a,1,1,1)),flip(a)]. 985 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(666(a,1),586(a,1,2))]. 986 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(37,a,223,a,b,595,a)]. 988 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(122,a,986,a,b,15,a)]. 989 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(122,a,986,a(flip),b,336,a),flip(a)]. 991 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(383,a,722,a),flip(a)]. 992 T(x,y) * (x * z) = x * (T(x,y) * z). [para(221(a,1),991(a,1,2)),flip(a)]. 993 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(552,a,992,a)]. 994 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(551,a,992,a),flip(a)]. 995 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(526,a,992,a)]. 996 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(303,a,992,a),flip(a)]. 997 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(285,a,152,a(flip),b,992,a),flip(a)]. 998 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(128,a,992,a)]. 999 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(122,a,152,a(flip),b,992,a)]. 1000 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(122,a,82,a(flip),b,992,a),flip(a)]. 1001 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(17(a,1),992(a,1,2)),flip(a)]. 1003 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(992(a,2),46(a,1))]. 1004 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(116(a,1),992(a,1,2)),flip(a)]. 1005 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),992(a,1,1)),flip(a)]. 1007 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(135,a,1000,a)]. 1008 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(128,a,1000,a)]. 1009 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(123,a,1000,a(flip),b,116,a)]. 1012 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1007(a,1),917(a,2,1))]. 1013 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(285,a,281,a(flip),b,993,a),flip(a)]. 1014 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),993(a,1,2))]. 1015 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(995(a,1),130(a,1,1)),flip(a)]. 1016 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(995(a,1),307(a,1,1)),flip(b)]. 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(224,a,116,a,b,997,a),flip(a)]. 1019 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(224,a,997,a,b,15,a)]. 1020 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(122,a,245,a,b,997,a)]. 1021 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(37,a,412,a,b,997,a),flip(a)]. 1022 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(37,a,272,a,b,997,a),flip(a)]. 1024 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(997(a,1),304(a,1,2)),flip(b)]. 1025 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(118(a,1),1018(a,1,2,1))]. 1026 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(224,a,733,a,b,1004,a)]. 1027 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(37,a,412,a,b,1004,a),flip(a)]. 1029 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(136,a,1012,a)]. 1030 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(118(a,1),1025(a,2,2))]. 1031 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(14(a,1),1030(a,1,2,1))]. 1032 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(118(a,1),1029(a,1,1)),flip(a)]. 1033 T(x,y) = ((x * y) / x) * (y \ x). [para(14(a,1),1031(a,2,2)),flip(a)]. 1034 T(x,y) / (y \ x) = (x * y) / x. [hyper(123,a,1033,a,b,xx)]. 1035 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(122,a,1033,a,b,116,a),flip(a)]. 1036 ((x * y) / x) \ T(x,y) = y \ x. [hyper(122,a,1033,a,b,xx)]. 1037 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(17(a,1),1033(a,2,1,1)),flip(a)]. 1038 ((x * (x / y)) / x) * y = T(x,x / y). [para(90(a,1),1033(a,2,2)),flip(a)]. 1039 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(367(a,1),1033(a,2,2)),flip(a)]. 1040 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(394(a,1),1033(a,2,2)),flip(a)]. 1041 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(14(a,1),1034(a,1,2)),flip(a)]. 1043 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(66,a,798,a(flip),b,1038,a)]. 1044 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(122,a,1038,a(flip),b,798,a(flip))]. 1045 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(90(a,1),1043(a,1,2,1,2))]. 1046 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(789(a,2),1043(a,1,2))]. 1048 T(x \ T(y,y / x),y) = x \ y. [para(1044(a,2),208(a,1,1))]. 1049 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1044(a,1),381(a,1,2))]. 1050 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(87(a,1),1048(a,1,1,2,2))]. 1051 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(285,a,117,a,b,1050,a),flip(a)]. 1052 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1035(a,1),867(a,1,1))]. 1053 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(123,a,208,a(flip),b,1037,a),flip(a)]. 1054 T(T(x * y,x) / y,x * y) = x. [para(1041(a,1),208(a,1,1))]. 1055 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1041(a,1),817(a,1,1))]. 1056 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(355(a,1),1054(a,1,1,1,1))]. 1057 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(630,a,1055,a)]. 1059 L(R(x,y,T(x,y)),y,x) = x. [para(1057(a,1),450(a,1,1))]. 1060 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(209(a,1),1045(a,1,2)),flip(a)]. 1062 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(245(a,2),1024(a,1,2))]. 1063 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(220(a,1),1024(a,1))]. 1064 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),1001(a,1,2))]. 1065 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(117(a,1),1013(a,1,2,1))]. 1067 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1014(a,1),1016(a,1))]. 1068 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(906(a,1),1022(a,1,2))]. 1071 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(122,a,1046,a(flip),b,103,a(flip))]. 1072 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(105(a,1),762(a,1,2,1))]. 1073 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(128,a,841,a)]. 1076 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(325(a,1),841(a,1,2))]. 1077 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(629,a,842,a),flip(a)]. 1078 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(909(a,1),105(a,1,1)),flip(a)]. 1079 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(32(a,2),943(a,2,2))]. 1080 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(13(a,1),947(a,2,2,1))]. 1081 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(268(a,1),947(a,1,2)),flip(a)]. 1082 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(138,a,950,a)]. 1084 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(285,a,587,a(flip),b,968,a),flip(a)]. 1085 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(13(a,1),969(a,2,1))]. 1086 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(128,a,1085,a)]. 1087 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(122,a,369,a(flip),b,1085,a),flip(a)]. 1088 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(37,a,658,a,b,1085,a),flip(a)]. 1089 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1085(a,1),304(a,1,2)),flip(b)]. 1090 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(607(a,2),1085(a,1,2))]. 1091 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(285,a,205,a(flip),b,1090,a),flip(a)]. 1092 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(123,a,368,a(flip),b,1090,a)]. 1093 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(224,a,1091,a,b,15,a),flip(a)]. 1095 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(285,a,798,a(flip),b,977,a),flip(a)]. 1096 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),1005(a,1,2,1))]. 1097 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(208(a,1),1005(a,1,2,1)),flip(a)]. 1098 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(230(a,1),1005(a,1,2,1)),flip(a)]. 1099 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(380,a,1096,a),flip(a)]. 1100 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(285,a,89,a(flip),b,1096,a),flip(a)]. 1101 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(122,a,82,a(flip),b,1096,a),flip(a)]. 1102 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(771,a,1100,a)]. 1103 (1 / x) * K(x \ 1,x) = x \ 1. [para(243(a,2),1100(a,1,2))]. 1104 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(128,a,1103,a)]. 1105 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1103(a,1),475(a,2,2))]. 1106 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1104(a,1),561(a,1,2,1))]. 1107 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1102(a,1),506(a,1,2,1))]. 1108 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(66,a,913,a(flip),b,1099,a)]. 1109 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1101(a,1),46(a,1))]. 1110 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(692,a,1073,a)]. 1111 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(122,a,398,a(flip),b,1073,a(flip))]. 1113 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(285,a,901,a(flip),b,1110,a),flip(a)]. 1114 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(285,a,883,a(flip),b,1110,a),flip(a)]. 1115 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(123,a,1110,a,b,417,a)]. 1116 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(906(a,1),1110(a,1,1))]. 1119 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1034(a,1),1111(a,1,2,1,2))]. 1120 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(136,a,1113,a(flip)),flip(a)]. 1121 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(601(a,1),1113(a,2,1))]. 1122 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(118(a,1),1114(a,2,2))]. 1123 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(208(a,1),1114(a,2,2))]. 1124 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(16(a,1),1115(a,1,1,1,2))]. 1126 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1077(a,1,1))]. 1127 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(122,a,1079,a,b,xx)]. 1128 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(90(a,1),1084(a,1,1,1,2))]. 1129 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(15(a,1),1092(a,1,2,1,2))]. 1130 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(180,a,1129,a)]. 1131 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(285,a,222,a(flip),b,1107,a),flip(a)]. 1132 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(124,a,222,a(flip),b,1107,a)]. 1133 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(357(a,1),1131(a,1,2)),flip(a)]. 1134 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(285,a,203,a(flip),b,1132,a)]. 1135 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(203(a,1),1134(a,2,2,1)),flip(a)]. 1136 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(128,a,1135,a)]. 1137 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1123(a,2),117(a,1,2))]. 1138 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1123(a,2),632(a,1,2))]. 1139 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1126(a,1),294(a,1,1)),flip(b)]. 1140 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(325(a,1),1126(a,1,1))]. 1141 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(883(a,1),1126(a,1,1))]. 1143 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(587(a,1),544(a,1,1))]. 1144 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(453(a,1),649(a,1,2,1)),flip(a)]. 1145 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(454(a,1),651(a,1,2,1)),flip(a)]. 1146 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(66,a,411,a(flip),b,668,a)]. 1147 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(223(a,1),1146(a,1,2)),flip(a)]. 1148 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(552,a,1147,a)]. 1149 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(526,a,1147,a)]. 1150 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(380,a,1147,a),flip(a)]. 1152 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1147,a)]. 1153 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1147,a),flip(a)]. 1154 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(116(a,1),1147(a,1,2)),flip(a)]. 1155 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1147(a,1),216(a,1,2))]. 1156 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(135,a,1150,a)]. 1157 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(128,a,1150,a)]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(66,a,595,a,b,1150,a)]. 1159 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(123,a,1150,a(flip),b,223,a)]. 1160 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1150(a,1),607(a,1,1,2)),flip(a)]. 1161 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),638(a,2,1))]. 1162 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [hyper(124,a,1153,a(flip),b,403,a),flip(a)]. 1163 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1153(a,1),881(a,1,2,1,2))]. 1165 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1157(a,1),1122(a,2,2))]. 1166 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(112(a,1),1148(a,1,2)),flip(a)]. 1167 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(135,a,1166,a),flip(a)]. 1168 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(224,a,112,a(flip),b,1154,a),flip(a)]. 1169 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(128,a,1168,a)]. 1170 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(368(a,1),682(a,1,1,1))]. 1171 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(124,a,696,a(flip),b,104,a),flip(a)]. 1172 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(122,a,696,a(flip),b,242,a),flip(a)]. 1173 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(703(a,1),467(a,1,1)),flip(a)]. 1174 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(66,a,473,a(flip),b,729,a),flip(a)]. 1176 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(780(a,2),49(a,1))]. 1177 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(203(a,1),806(a,1,2,1,2))]. 1178 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),806(a,1,2,1,2))]. 1179 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),806(a,1,2,1,2))]. 1180 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(124,a,807,a(flip),b,106,a),flip(a)]. 1181 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(122,a,808,a(flip),b,244,a)]. 1182 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(122,a,809,a(flip),b,242,a),flip(a)]. 1183 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(123,a,812,a(flip),b,247,a),flip(a)]. 1184 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(124,a,833,a(flip),b,215,a)]. 1185 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(993(a,1),870(a,1,1,1))]. 1186 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1038(a,1),876(a,1))]. 1187 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(17(a,1),885(a,1,2,1))]. 1188 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [hyper(122,a,895,a(flip),b,1082,a),flip(a)]. 1191 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(112(a,1),442(a,1,2))]. 1192 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(122,a,477,a(flip),b,112,a)]. 1193 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(620(a,1),412(a,2,2))]. 1194 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),763(a,1,2,1))]. 1196 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),820(a,1,1))]. 1198 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(639,a,836,a),flip(a)]. 1199 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(629,a,836,a)]. 1200 (x * T(y,z)) * y = (x * y) * T(y,z). [para(418(a,1),1198(a,1,1))]. 1201 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(550,a,1200,a)]. 1202 (1 / T(x,y)) * x = x / T(x,y). [hyper(525,a,1200,a),flip(a)]. 1203 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(293,a,1200,a),flip(a)]. 1204 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(285,a,150,a(flip),b,1200,a),flip(a)]. 1205 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(128,a,1200,a)]. 1206 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(123,a,150,a(flip),b,1200,a)]. 1207 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(549,a,1200,a(flip)),flip(a)]. 1209 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(116(a,1),1200(a,2,1))]. 1210 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(118(a,1),1200(a,1,1,2)),flip(a)]. 1211 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(128,a,1202,a)]. 1213 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1211(a,1),923(a,1,1)),flip(a)]. 1214 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1201(a,2),225(a,2)),flip(a)]. 1216 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1060(a,2),1203(a,1,1))]. 1218 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1205(a,1),981(a,1,1)),flip(a)]. 1220 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(667(a,1),1218(a,1,1,2))]. 1221 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1216(a,1),1004(a,1,2)),flip(a)]. 1222 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(135,a,1221,a),flip(a)]. 1223 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(66,a,1060,a(flip),b,1222,a),flip(a)]. 1224 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(221(a,1),1209(a,1,1))]. 1225 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(224,a,1224,a,b,116,a(flip))]. 1226 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(123,a,81,a(flip),b,1224,a)]. 1229 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(118(a,1),1210(a,1,2))]. 1230 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(208(a,1),1210(a,1,2)),flip(a)]. 1231 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(550,a,1229,a)]. 1232 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(525,a,1229,a),flip(a)]. 1233 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(123,a,150,a(flip),b,1229,a)]. 1234 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(224,a,1232,a,b,15,a),flip(a)]. 1235 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1232(a,1),225(a,2)),flip(a)]. 1236 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(285,a,886,a(flip),b,1226,a),flip(a)]. 1237 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1234(a,1),1113(a,1,1))]. 1238 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(384,a,939,a),flip(a)]. 1239 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(222(a,1),1238(a,1,2)),flip(a)]. 1240 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(552,a,1239,a)]. 1241 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(551,a,1239,a),flip(a)]. 1242 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(380,a,1239,a),flip(a)]. 1243 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(303,a,1239,a),flip(a)]. 1244 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(128,a,1239,a)]. 1245 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1239,a)]. 1246 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1239,a),flip(a)]. 1247 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(122,a,1239,a(flip),b,96,a)]. 1248 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1239(a,1),216(a,1,2))]. 1249 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(128,a,1242,a)]. 1250 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1242(a,1),607(a,1,1,2)),flip(a)]. 1251 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(827(a,1),1242(a,1,1)),flip(a)]. 1252 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1246(a,1),21(a,2,1)),flip(a)]. 1253 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1246(a,1),881(a,1,2,1,2))]. 1254 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1249(a,1,1))]. 1255 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(128,a,1241,a)]. 1259 (x * (y * z)) \ ((x * y) * ((((x * y) \ (x * (y * z))) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(19(a,2),971(a,2,1))]. 1260 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(128,a,972,a)]. 1261 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(13(a,1),972(a,2,2,1,2))]. 1262 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(128,a,1261,a),flip(a)]. 1263 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(122,a,116,a(flip),b,1261,a),flip(a)]. 1264 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(325(a,1),1261(a,1,2)),flip(a)]. 1265 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1110(a,2),1261(a,1,2)),flip(a)]. 1266 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(285,a,396,a,b,1263,a)]. 1267 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(122,a,396,a,b,1263,a),flip(a)]. 1268 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(122,a,1265,a,b,xx),flip(a)]. 1269 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(66,a,897,a(flip),b,1265,a)]. 1270 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(14(a,1),1265(a,1,2,1)),flip(a)]. 1271 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(21(a,2),1265(a,2,2,1,2,2))]. 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(23(a,2),1265(a,2,2,1,2,2))]. 1276 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(203(a,2),1267(a,1,1,1))]. 1277 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1267(a,2),689(a,1))]. 1278 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(16(a,1),1268(a,1,1,2))]. 1279 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(27(a,2),1268(a,1,1,2,2))]. 1280 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(90(a,1),1268(a,2,2,2,1))]. 1281 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [hyper(124,a,1276,a,b,358,a),flip(a)]. 1282 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1276(a,1),905(a,1,1))]. 1283 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(17(a,1),1269(a,1,1,1)),flip(a)]. 1284 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(406(a,1),1270(a,1,2,1,2))]. 1285 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(744(a,1),1280(a,2,2))]. 1286 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(12(a,1),974(a,2,1,1,1))]. 1287 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(417(a,1),974(a,1,1))]. 1288 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(285,a,417,a(flip),b,1286,a),flip(a)]. 1289 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1288(a,1,1))]. 1290 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(325(a,1),1289(a,1,1))]. 1291 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1110(a,2),1289(a,1,1))]. 1292 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(135,a,1291,a),flip(a)]. 1293 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(16(a,1),1292(a,1,1,2))]. 1294 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(25(a,2),1292(a,1,1,2,2))]. 1295 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1050(a,1),1292(a,2,1,2))]. 1296 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(285,a,414,a(flip),b,1290,a),flip(a)]. 1297 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(118(a,1),1032(a,1,2)),flip(a)]. 1298 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(87(a,1),1297(a,1,2,1,1)),flip(a)]. 1299 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(14(a,1),1097(a,1,1)),flip(a)]. 1300 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(552,a,1299,a)]. 1301 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(380,a,1299,a),flip(a)]. 1302 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(122,a,152,a(flip),b,1299,a)]. 1303 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(135,a,1301,a)]. 1304 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(66,a,878,a,b,1301,a)]. 1306 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(691,a,1300,a),flip(a)]. 1308 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(66,a,182,a(flip),b,1098,a),flip(a)]. 1310 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(380,a,1308,a),flip(a)]. 1312 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(285,a,89,a(flip),b,1308,a),flip(a)]. 1313 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(122,a,152,a(flip),b,1308,a)]. 1314 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1308(a,1),21(a,2,1)),flip(a)]. 1315 (1 / (1 / x)) * K(x,1 / x) = x. [para(245(a,2),1312(a,1,2))]. 1316 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(66,a,1232,a(flip),b,1310,a)]. 1317 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(787,a,1170,a),flip(a)]. 1318 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(78(a,1),1172(a,2,2,1))]. 1319 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(27(a,2),1318(a,1,2,1)),flip(a)]. 1320 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(123,a,1182,a(flip),b,798,a)]. 1321 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(66,a,1038,a(flip),b,1183,a),flip(a)]. 1322 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(12(a,1),1183(a,2,1,1,2))]. 1323 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(15(a,1),1321(a,1,1,1,2)),flip(a)]. 1324 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1321(a,1),487(a,1,1))]. 1325 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(285,a,1223,a(flip),b,1324,a),flip(a)]. 1326 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(876,a,1322,a)]. 1327 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(90(a,1),1326(a,1,2,1,2))]. 1328 x \ y != ((z * (u \ 1)) / z) / (u \ 1) | x * (u * ((z * (u \ 1)) / z)) = y. [para(1327(a,1),578(a,2))]. 1329 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1199(a,2,1))]. 1330 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(14(a,1),1230(a,1,1,2)),flip(a)]. 1331 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(550,a,1330,a)]. 1332 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(123,a,150,a(flip),b,1330,a)]. 1333 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1045(a,1),1330(a,1,1)),flip(a)]. 1334 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(931(a,1),1332(a,1,1,2,1)),flip(a)]. 1335 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(293,a,1333,a),flip(a)]. 1336 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1015,a,1335,a)]. 1338 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(135,a,1336,a)]. 1340 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(66,a,1323,a,b,1338,a)]. 1341 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(14(a,1),1340(a,1,2,2,2)),flip(a)]. 1342 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(210(a,1),1260(a,1,2,2,1)),flip(a)]. 1343 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(680(a,1),1260(a,1,2,2,1)),flip(a)]. 1344 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(124,a,1110,a(flip),b,1279,a(flip))]. 1345 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [hyper(122,a,1283,a(flip),b,1265,a),flip(a)]. 1346 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1211(a,1),1345(a,1,1)),flip(a)]. 1347 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(185,a,1346,a)]. 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1347(a,1),118(a,1,1)),flip(a)]. 1350 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),1115(a,1,1,1))]. 1351 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(285,a,417,a(flip),b,1287,a),flip(a)]. 1352 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(123,a,417,a(flip),b,1287,a)]. 1353 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(587(a,1),1317(a,1,1))]. 1354 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(66,a,830,a(flip),b,1329,a)]. 1355 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(66,a,684,a(flip),b,1329,a),flip(a)]. 1356 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(224,a,1329,a(flip),b,830,a(flip)),flip(a)]. 1357 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(12(a,1),1329(a,1,2,1,2))]. 1359 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(27(a,2),1356(a,1,2,1,2)),flip(a)]. 1360 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(122,a,1359,a,b,xx)]. 1361 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(326(a,1),1359(a,1,1,2,1)),flip(a)]. 1362 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(14(a,1),1360(a,1,2,1,2,1)),flip(a)]. 1363 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1360(a,1),240(a,1,2)),flip(b)]. 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(66,a,830,a(flip),b,1357,a)]. 1365 T(x,x * T(x \ 1,y)) = x. [hyper(224,a,684,a(flip),b,1357,a(flip))]. 1366 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1357(a,1),1279(a,2,2))]. 1367 T(x,(x \ 1) * x) = x. [para(116(a,1),1365(a,1,2))]. 1369 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),731(a,1,1))]. 1370 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1365(a,1,2))]. 1371 T(x \ 1,x \ T(x,y)) = x \ 1. [para(883(a,1),1365(a,1,2))]. 1372 T(1 / x,T(x,y) / x) = 1 / x. [para(901(a,1),1365(a,1,2))]. 1373 R(x,x \ 1,x) = T(x,x \ 1). [para(1367(a,1),727(a,1,1))]. 1375 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1373(a,1),32(a,2,1))]. 1376 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(57,a,1371,a)]. 1377 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1372(a,1),425(a,1,1,2)),flip(a)]. 1378 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1370(a,1),727(a,1,1))]. 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1376(a,1),699(a,1,1)),flip(a)]. 1380 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(285,a,698,a,b,1379,a)]. 1382 T(K(x,y),x \ 1) = K(x,y). [para(21(a,2),1380(a,2,1)),flip(a)]. 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(57,a,1382,a)]. 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [hyper(124,a,1382,a(flip),b,27,a(flip)),flip(a)]. 1385 T(T(x \ 1,y),K(x,z)) = T(x \ 1,y). [para(1383(a,1),28(a,1,1)),flip(a)]. 1386 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1383(a,1),263(a,1,2))]. 1387 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),419(a,1,2)),flip(a)]. 1388 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(66,a,860,a(flip),b,1384,a),flip(a)]. 1390 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(116(a,1),1364(a,1,2)),flip(a)]. 1391 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1141(a,2),1364(a,1,2))]. 1392 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(264,a,1390,a)]. 1393 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(135,a,1390,a)]. 1394 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1136(a,1),1390(a,2,2,1,2)),flip(a)]. 1395 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1157(a,1),1393(a,1,1,2,1))]. 1396 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(285,a,27,a,b,1366,a)]. 1397 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(124,a,1366,a,b,xx),flip(a)]. 1399 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(285,a,1110,a(flip),b,1396,a)]. 1400 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(122,a,1396,a,b,1110,a(flip))]. 1401 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(325(a,1),1396(a,1,1)),flip(a)]. 1402 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(883(a,1),1396(a,1,1))]. 1403 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1281(a,2),1396(a,1,1)),flip(a)]. 1404 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(117(a,1),1403(a,1,1,2,2)),flip(a)]. 1405 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(285,a,15,a(flip),b,1387,a),flip(a)]. 1407 T(x,K(x \ 1,y)) = x. [hyper(134,a,1405,a)]. 1408 K(x \ 1,y) * x = x * K(x \ 1,y). [hyper(124,a,1407,a(flip),b,27,a(flip))]. 1410 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(263,a,1399,a),flip(a)]. 1411 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1371(a,1),1400(a,1,2,1,2)),flip(a)]. 1412 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(123,a,830,a(flip),b,1351,a)]. 1413 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(123,a,829,a(flip),b,1351,a),flip(a)]. 1414 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(123,a,116,a(flip),b,1351,a),flip(a)]. 1415 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1205(a,1),1352(a,1,1,2,1)),flip(a)]. 1416 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(15(a,1),1354(a,1,2,2,1,2,2))]. 1417 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(17(a,1),1354(a,1,2,2,1,2,2)),flip(a)]. 1418 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(326(a,1),1354(a,2,1,2,1))]. 1419 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1354(a,1,2,2,1,2)),flip(a)]. 1420 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(15(a,1),1411(a,2,2,1))]. 1422 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(188(a,1),1420(a,2,2))]. 1423 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(57,a,1422,a)]. 1425 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(58,a,1423,a)]. 1426 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(116(a,1),1417(a,1,1)),flip(a)]. 1427 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(838(a,1),1417(a,1,1)),flip(a)]. 1428 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1076(a,2),1417(a,1,1))]. 1429 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(66,a,830,a,b,1426,a)]. 1430 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(14(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1431 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(79(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1432 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1140(a,2),1426(a,1,2)),flip(a)]. 1433 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(209(a,1),1430(a,1,1,1,2)),flip(a)]. 1434 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(116(a,1),1433(a,1,2))]. 1435 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(225,a,1434,a)]. 1436 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(123,a,1435,a,b,xx)]. 1437 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(122,a,1435,a,b,271,a)]. 1438 x * (T((x \ y) * x,x) / x) = T(y,x). [hyper(124,a,1436,a,b,xx)]. 1440 x \ T(x * (y / x),x) = T(y,x) / x. [para(91(a,1),1436(a,1,1,1)),flip(a)]. 1442 x * (T(y * x,x) / x) = T(x * y,x). [para(14(a,1),1438(a,1,2,1,1,1))]. 1443 T(x * (y / x),x) = x * (T(y,x) / x). [para(91(a,1),1438(a,1,2,1,1)),flip(a)]. 1445 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(896(a,1),1442(a,1,2)),flip(a)]. 1447 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1150(a,1),1442(a,1,2,1,1))]. 1448 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(14(a,1),1437(a,1,2,1,1))]. 1449 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(285,a,1354,a(flip),b,1445,a),flip(a)]. 1450 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(85(a,1),1432(a,1,1,1,2)),flip(a)]. 1452 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(243(a,2),1450(a,2,1))]. 1453 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(14(a,1),1452(a,1,2,2)),flip(a)]. 1454 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(27(a,2),1452(a,1,2,2))]. 1455 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1453(a,1),216(a,1,2))]. 1456 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),1428(a,2,2,2,1,2))]. 1458 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(325(a,1),1456(a,2,2))]. 1460 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(788(a,1),1458(a,1,1,1))]. 1462 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(582(a,1),213(a,1,1))]. 1463 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(15(a,1),1462(a,1,1,2))]. 1464 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(123,a,575,a(flip),b,781,a)]. 1465 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(12(a,1),1464(a,1,1,1))]. 1466 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(17(a,1),1464(a,1,1,1)),flip(a)]. 1467 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1465(a,1),1114(a,1,1,2))]. 1468 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(124,a,810,a(flip),b,104,a),flip(a)]. 1469 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),816(a,1,2,1))]. 1470 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(357(a,1),964(a,1,2))]. 1471 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(185,a,1470,a)]. 1472 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(66,a,719,a(flip),b,1087,a),flip(a)]. 1473 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(87(a,1),1472(a,1,2)),flip(a)]. 1474 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(578,a,1473,a(flip))]. 1476 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(224,a,1474,a,b,15,a)]. 1478 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(357(a,1),1133(a,1,1)),flip(a)]. 1479 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(138,a,1478,a)]. 1481 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(285,a,14,a(flip),b,1479,a),flip(a)]. 1482 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(224,a,1479,a,b,15,a)]. 1483 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(14(a,1),1481(a,1,2,1))]. 1484 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1369(a,1,2)),flip(a)]. 1485 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1484(a,1,2)),flip(a)]. 1486 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1485(a,1),36(a,1,1)),flip(a)]. 1487 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1485(a,1),1168(a,1,1))]. 1488 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(15(a,1),716(a,2,1,1,2))]. 1489 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(285,a,417,a(flip),b,1488,a),flip(a)]. 1490 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(16(a,1),1489(a,1,1,1,2))]. 1491 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(861,a,1490,a)]. 1492 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(815,a,1039,a)]. 1493 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(798(a,1),1492(a,1,1))]. 1494 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1000(a,1),1493(a,1,1,2,1))]. 1495 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),941(a,1,1))]. 1496 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(285,a,587,a(flip),b,944,a),flip(a)]. 1497 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(796,a,945,a)]. 1498 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(815,a,1040,a)]. 1499 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1301(a,1),1498(a,1,1))]. 1500 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(135,a,1499,a)]. 1502 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(209(a,1),1499(a,1,1,2)),flip(a)]. 1503 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1500(a,1),912(a,1,3)),flip(a)]. 1504 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1093(a,1),391(a,1))]. 1505 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(90(a,1),1128(a,1,2)),flip(a)]. 1506 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(12(a,1),1505(a,2,1,1))]. 1507 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(128,a,1144,a)]. 1508 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(15(a,1),1145(a,2,2,1,2))]. 1509 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(308,a,1155,a),flip(a)]. 1510 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(128,a,1171,a)]. 1511 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(12(a,1),1173(a,2,1,1,1))]. 1512 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(285,a,593,a(flip),b,1511,a),flip(a)]. 1513 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(593(a,1),1512(a,1,1))]. 1514 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(135,a,1513,a),flip(a)]. 1515 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1514(a,1,1)),flip(a)]. 1516 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1049,a,1177,a)]. 1517 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1177(a,1,1))]. 1518 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1516(a,1),50(a,1)),flip(a)]. 1519 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1516(a,2),1493(a,1,1)),flip(a)]. 1520 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(128,a,1180,a)]. 1521 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(308,a,1248,a),flip(a)]. 1522 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1521(a,1),222(a,1,2))]. 1523 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(427,a,1522,a)]. 1524 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(87(a,1),1298(a,1,1,1)),flip(a)]. 1526 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1524(a,1),1065(a,1,2)),flip(a)]. 1527 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(285,a,223,a(flip),b,1319,a),flip(a)]. 1528 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(915(a,1),1527(a,1,2,1,2))]. 1529 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(231(a,1),1487(a,1,2))]. 1530 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(16(a,1),1496(a,1,1,1,1,1)),flip(a)]. 1531 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(587(a,1),1496(a,1,1))]. 1532 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(593(a,1),1497(a,2,1))]. 1533 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(13(a,1),1507(a,1,2,2,1,2)),flip(a)]. 1534 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(23(a,2),1533(a,1,1)),flip(a)]. 1535 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(13(a,1),1510(a,1,2,2,1,2)),flip(a)]. 1536 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(15(a,1),1520(a,1,2,2,1))]. 1537 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1536,a)]. 1538 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1536(a,1),434(a,1))]. 1539 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(285,a,1304,a(flip),b,1537,a),flip(a)]. 1540 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(87(a,1),1537(a,1,2,1)),flip(a)]. 1541 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(907(a,1),1537(a,1,2)),flip(a)]. 1542 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(954(a,1),1537(a,1,2)),flip(a)]. 1543 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1347(a,1),1537(a,1,2)),flip(a)]. 1544 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),1539(a,2,2,1))]. 1545 T(x,x / (x * (y \ x))) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,1516,a),flip(a)]. 1546 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1545(a,1,2))]. 1547 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(16(a,1),1546(a,2,2,2))]. 1548 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(419(a,2),1541(a,1,2,1))]. 1549 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(14(a,1),1530(a,1,2,1)),flip(a)]. 1550 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(587(a,1),1530(a,2,1))]. 1551 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(588(a,1),1549(a,1,1))]. 1552 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(550,a,1551,a)]. 1553 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(525,a,1551,a),flip(a)]. 1554 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(517,a,1551,a)]. 1555 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(128,a,1551,a)]. 1556 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(123,a,150,a(flip),b,1551,a)]. 1557 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(122,a,1551,a(flip),b,96,a)]. 1559 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1551(a,1),310(a,1,1))]. 1560 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(224,a,1553,a,b,15,a)]. 1562 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1553(a,1),355(a,1,1)),flip(a)]. 1563 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1554(a,1),297(a,1,2)),flip(b)]. 1564 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(178(a,1),1554(a,1,1,1)),flip(a)]. 1565 ((x * (y / z)) * z) \ ((x * y) * z) = L(z,y / z,x). [para(499(a,1),1554(a,1,1,1))]. 1567 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1555(a,1),981(a,1,1)),flip(a)]. 1568 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [para(1556(a,1),118(a,1,1))]. 1569 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1556(a,1,1)),flip(a)]. 1570 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1560(a,1),231(a,1,1))]. 1571 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(124,a,1567,a(flip),b,589,a)]. 1573 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(135,a,1569,a)]. 1574 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(128,a,1569,a),flip(a)]. 1575 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(123,a,460,a(flip),b,1569,a)]. 1577 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1569(a,1),308(a,1,2))]. 1578 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(17(a,1),1574(a,2,2,1,2)),flip(a)]. 1579 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(224,a,1571,a,b,15,a),flip(a)]. 1580 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(135,a,1571,a)]. 1581 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(123,a,151,a(flip),b,1571,a)]. 1583 a(1 / x,x / y,y) \ (((1 / x) * x) * y) = L(y,x / y,1 / x). [para(865(a,1),1565(a,1,1))]. 1584 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1562(a,2),47(a,1))]. 1585 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(123,a,938,a(flip),b,1531,a)]. 1586 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(85(a,1),1531(a,1,1,2,1,2)),flip(a)]. 1588 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(66,a,938,a(flip),b,1586,a)]. 1589 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(66,a,937,a(flip),b,1586,a)]. 1590 T(x,x * L(x \ 1,y,z)) = x. [hyper(224,a,823,a(flip),b,1586,a(flip))]. 1591 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(224,a,1586,a(flip),b,446,a(flip))]. 1593 K(x,x * L(x \ 1,y,z)) = 1. [hyper(58,a,1590,a)]. 1594 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(357(a,1),1590(a,1,2,2))]. 1595 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1080(a,1),1590(a,1,2))]. 1596 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1506(a,1),1590(a,1,2))]. 1597 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1242(a,2),1595(a,1,2))]. 1598 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1596(a,1),425(a,1,1,2)),flip(a)]. 1599 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(90(a,1),1594(a,1,2,2))]. 1600 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1594(a,1),667(a,1,2)),flip(a)]. 1601 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1597(a,1),727(a,1,1))]. 1602 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(57,a,1599,a)]. 1603 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(38,a,778,a,b,1600,a),flip(a)]. 1604 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(123,a,1508,a(flip),b,1588,a(flip)),flip(a)]. 1605 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1604(a,1,1)),flip(a)]. 1606 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(66,a,941,a(flip),b,1532,a)]. 1607 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(224,a,1532,a(flip),b,1171,a),flip(a)]. 1608 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(224,a,1532,a(flip),b,941,a(flip)),flip(a)]. 1609 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(122,a,1532,a(flip),b,1171,a),flip(a)]. 1610 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(12(a,1),1532(a,1,2,1,2))]. 1611 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1532(a,1,2,1)),flip(a)]. 1613 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(663(a,1),1532(a,1,2,1)),flip(a)]. 1614 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1611(a,1,1,2,1))]. 1616 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(525,a,1614,a),flip(a)]. 1617 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(517,a,1614,a)]. 1619 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(128,a,1614,a)]. 1620 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(123,a,150,a(flip),b,1614,a)]. 1621 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(123,a,88,a(flip),b,1614,a),flip(a)]. 1622 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(122,a,150,a(flip),b,1614,a)]. 1623 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(223(a,1),1614(a,1,1)),flip(a)]. 1624 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(828,a,1621,a)]. 1625 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(224,a,1621,a,b,15,a),flip(a)]. 1626 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1621(a,1),225(a,2)),flip(a)]. 1627 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1621(a,1),105(a,2,1))]. 1628 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1617(a,1),297(a,1,2)),flip(b)]. 1630 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1619(a,1),981(a,1,1)),flip(a)]. 1631 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1619(a,1),1329(a,1,2,1)),flip(a)]. 1632 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(66,a,837,a(flip),b,1630,a)]. 1633 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(124,a,1630,a(flip),b,589,a)]. 1634 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1630(a,1),223(a,1,2)),flip(a)]. 1635 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(796,a,1624,a)]. 1636 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(123,a,81,a(flip),b,1633,a)]. 1638 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(627,a,1636,a)]. 1639 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1625(a,1),656(a,1,1,2))]. 1640 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(27(a,2),1608(a,1,2,1,2)),flip(a)]. 1641 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(123,a,1640,a,b,593,a)]. 1642 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(122,a,1640,a,b,xx)]. 1643 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(188(a,1),1640(a,2,2,1,2))]. 1644 T(x,x * R(x \ 1,y,z)) = x. [hyper(57,a,1643,a)]. 1645 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1643(a,1),1443(a,2,2,1))]. 1646 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(90(a,1),1644(a,1,2,2,1))]. 1647 T(x,(y / (x * y)) * x) = x. [para(607(a,2),1644(a,1,2))]. 1648 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(595(a,1),1644(a,1,2))]. 1649 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1644(a,1,2))]. 1650 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1647(a,1),1026(a,1,1,1)),flip(a)]. 1651 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(57,a,1649,a)]. 1652 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1649(a,1),28(a,1,1)),flip(a)]. 1653 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1646(a,1),669(a,1,1,2))]. 1654 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1648(a,1),727(a,1,1))]. 1655 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1654(a,1),1169(a,1,1))]. 1656 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(14(a,1),1641(a,1,1,1,2,1)),flip(a)]. 1658 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(66,a,941,a(flip),b,1610,a)]. 1659 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(66,a,940,a(flip),b,1610,a)]. 1661 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(116(a,1),1623(a,1,1)),flip(a)]. 1662 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(285,a,118,a(flip),b,1632,a),flip(a)]. 1663 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(124,a,118,a(flip),b,1632,a)]. 1664 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(205(a,1),1663(a,1,1,2))]. 1665 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(285,a,12,a(flip),b,1664,a),flip(a)]. 1666 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(15(a,1),1665(a,1,1,2,2))]. 1667 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(66,a,938,a(flip),b,1550,a)]. 1668 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(66,a,823,a(flip),b,1550,a),flip(a)]. 1669 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(224,a,1550,a(flip),b,938,a(flip)),flip(a)]. 1671 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(27(a,2),1669(a,1,2,1,2)),flip(a)]. 1672 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(122,a,1671,a,b,xx)]. 1673 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(14(a,1),1672(a,1,2,1,2,1)),flip(a)]. 1674 a(1 / x,x / y,y) \ y = L(y,x / y,1 / x). [para(88(a,1),1583(a,1,2))]. 1675 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(1508(a,1),1585(a,1,1)),flip(a)]. 1676 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(14(a,1),1631(a,1,1,2,1))]. 1677 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(123,a,150,a(flip),b,1676,a)]. 1678 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(116(a,1),1677(a,1,1)),flip(a)]. 1679 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(224,a,1678,a,b,15,a),flip(a)]. 1681 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(601(a,1),1650(a,1,2))]. 1682 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(748(a,2),1675(a,1,2,1)),flip(a)]. 1683 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(585(a,1),1682(a,1,1)),flip(a)]. 1684 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(16(a,1),1683(a,1,1)),flip(a)]. 1685 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1684(a,1),118(a,1,1))]. 1686 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(285,a,1240,a(flip),b,1685,a),flip(a)]. 1687 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(27(a,2),1686(a,2,2))]. 1688 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(15(a,1),470(a,1,2,1))]. 1689 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1375(a,1),484(a,1,2,3))]. 1690 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(814(a,1),877(a,1,1))]. 1691 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1211(a,1),1690(a,2,2,1,2))]. 1692 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(32(a,2),1056(a,1,1,1))]. 1693 ((x \ ((x * y) / z)) * x) * z != u | x * (z * T(z \ y,x)) = u. [para(1429(a,1),1072(a,1))]. 1694 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(66,a,978,a(flip),b,1188,a),flip(a)]. 1695 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(242(a,1),1395(a,1,1))]. 1696 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(491(a,1),1494(a,2,2))]. 1697 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(12(a,1),1696(a,2,2,1))]. 1698 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(464(a,1),1692(a,1,1))]. 1699 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(355(a,1),1698(a,1,2))]. 1700 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1699(a,1),28(a,1,1)),flip(a)]. 1701 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1225(a,1),1700(a,1,1))]. 1702 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(17(a,1),1701(a,1,1)),flip(a)]. 1703 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1702(a,2,2))]. 1704 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(17(a,1),1703(a,1,1))]. 1705 T(x,x * (y \ 1)) = T(x,y \ x). [para(118(a,1),1704(a,1,2)),flip(a)]. 1706 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(746(a,1),1119(a,1,2,1))]. 1707 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(138,a,1706,a)]. 1708 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(66,a,1262,a(flip),b,1707,a),flip(a)]. 1709 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1653(a,1),1161(a,1,1))]. 1710 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(66,a,232,a(flip),b,1709,a)]. 1711 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1027(a,1),1184(a,2,2))]. 1712 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(21(a,2),1711(a,1,2,1)),flip(a)]. 1713 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(21(a,2),1271(a,1,2,1)),flip(a)]. 1714 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1110(a,1),1713(a,1,2))]. 1715 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(128,a,1714,a)]. 1716 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1594(a,1),1278(a,2,2,2))]. 1717 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(15(a,1),1295(a,2,1))]. 1718 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(128,a,1468,a)]. 1719 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1537(a,2),1468(a,1,2))]. 1720 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(13(a,1),1719(a,2,2,1,2,2))]. 1721 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(27(a,2),1720(a,1,2,2,1,2)),flip(a)]. 1722 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1029(a,1),1543(a,1,2,1))]. 1723 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1586(a,1),1589(a,1,2)),flip(a)]. 1724 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1080(a,1),1723(a,1,1)),flip(a)]. 1725 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1607(a,1,1))]. 1726 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1725(a,1,2,1,1))]. 1727 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(14(a,1),1726(a,2,1,2,1))]. 1728 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(600(a,1),1645(a,2,2))]. 1729 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(600(a,1),1728(a,1,1,2))]. 1730 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(205(a,1),1729(a,1,1,2))]. 1731 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(205(a,1),1730(a,2,2))]. 1732 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(66,a,1681,a,b,1731,a)]. 1733 T(x,x * (y / (x * y))) = x. [hyper(57,a,1731,a)]. 1734 T(x,x * ((x \ y) / y)) = x. [para(15(a,1),1733(a,1,2,2,2))]. 1735 T(x / y,(x / y) * (y / x)) = x / y. [para(17(a,1),1733(a,1,2,2,2))]. 1736 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1734(a,1),282(a,1,1)),flip(a)]. 1737 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1735(a,1),231(a,1,1)),flip(a)]. 1738 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(285,a,118,a(flip),b,1737,a),flip(a)]. 1739 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1738(a,1),1293(a,2,1,2))]. 1740 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1736(a,1),1293(a,2,1,2))]. 1741 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1610(a,1),1659(a,1,2)),flip(a)]. 1742 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),1741(a,1,1)),flip(a)]. 1743 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(823(a,1),1668(a,1,1))]. 1744 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(123,a,150,a(flip),b,1743,a)]. 1745 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(356(a,1),1743(a,1,1,2,2)),flip(a)]. 1746 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(356(a,1),1745(a,1,2,2)),flip(a)]. 1747 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(285,a,238,a(flip),b,1716,a),flip(a)]. 1749 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1747(a,1),1124(a,1,1)),flip(a)]. 1750 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(66,a,1482,a(flip),b,1749,a)]. 1751 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(391,a,1750,a)]. 1752 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(14(a,1),1750(a,1,1,2))]. 1753 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1751(a,1),1533(a,1,2)),flip(a)]. 1754 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(14(a,1),1752(a,2,2))]. 1755 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(185,a,1754,a)]. 1756 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(138,a,1754,a)]. 1757 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1755(a,1),1120(a,2,1,1,2)),flip(a)]. 1758 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(203(a,2),1756(a,1,1,1)),flip(a)]. 1759 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(123,a,203,a,b,1758,a(flip))]. 1760 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(13(a,1),1718(a,1,2,2,1,2,2)),flip(a)]. 1761 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(15(a,1),1739(a,2,1))]. 1762 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(285,a,85,a(flip),b,1761,a),flip(a)]. 1764 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(285,a,413,a(flip),b,750,a),flip(a)]. 1765 T(x,x * (y * T(y \ 1,x))) = x. [para(1764(a,1),258(a,1,2))]. 1766 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1764(a,1),1301(a,1,1)),flip(a)]. 1767 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1764(a,1),1327(a,1,2)),flip(a)]. 1768 T(x,x * K(y,x)) = x. [para(1266(a,2),1765(a,1,2,2))]. 1769 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1262(a,1),1765(a,1,2,2))]. 1770 T(x * K(y,x),x) = x * K(y,x). [hyper(57,a,1768,a)]. 1771 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1050(a,1),1769(a,1,2,2,2,2))]. 1772 T(x,x * (T(x,y) \ x)) = x. [para(15(a,1),1771(a,1,2,2,2))]. 1773 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1772(a,1),28(a,1,1)),flip(a)]. 1774 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(66,a,1019,a(flip),b,1773,a)]. 1775 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(185,a,1774,a)]. 1777 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1502(a,1),1774(a,1,1,2,1))]. 1778 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1214,a,1775,a)]. 1779 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(66,a,1201,a(flip),b,1775,a)]. 1780 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1775(a,2),670(a,1,2))]. 1781 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1778(a,1),417(a,1,1)),flip(a)]. 1782 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(411(a,1),794(a,1,1)),flip(a)]. 1783 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(66,a,1377,a(flip),b,911,a)]. 1785 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1783(a,1),638(a,1,1))]. 1786 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(66,a,232,a(flip),b,1785,a),flip(a)]. 1787 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1786(a,1),1541(a,1,2))]. 1788 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(973(a,1),1193(a,1,2))]. 1789 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(27(a,2),1788(a,1,2,1,1))]. 1790 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(66,a,415,a(flip),b,1789,a),flip(a)]. 1791 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1254(a,1,2,2))]. 1792 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(138,a,1791,a)]. 1793 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1792(a,1),878(a,1,2,1))]. 1794 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1792(a,1),1537(a,2,2,1)),flip(a)]. 1795 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(308,a,1455,a),flip(a)]. 1796 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(285,a,1502,a(flip),b,1777,a),flip(a)]. 1797 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1571(a,2),584(a,1,2))]. 1798 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(116(a,1),819(a,1,2,1,1)),flip(a)]. 1799 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(224,a,1610,a(flip),b,1798,a),flip(a)]. 1800 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(608,a,1799,a),flip(a)]. 1801 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1799(a,1,2,1,1)),flip(a)]. 1802 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(886(a,1),1800(a,2,1,2))]. 1803 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1378(a,1),1802(a,1,1,2)),flip(a)]. 1804 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(38,a,1410,a(flip),b,1803,a),flip(a)]. 1806 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1804(a,1),118(a,1,1))]. 1807 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1804(a,2),1425(a,1,2))]. 1808 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(66,a,1422,a(flip),b,1806,a),flip(a)]. 1810 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(15(a,1),1163(a,1,2,1)),flip(a)]. 1811 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(118(a,1),1810(a,1,1)),flip(a)]. 1812 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(118(a,1),1811(a,1,2)),flip(a)]. 1813 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(14(a,1),1812(a,1,1)),flip(a)]. 1814 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(14(a,1),1813(a,1,2)),flip(a)]. 1815 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(15(a,1),1253(a,1,2,1)),flip(a)]. 1816 L(x / y,z,u) \ T(x / y,y) = (y \ x) * (L(x / y,z,u) \ 1). [para(118(a,1),1815(a,1,1)),flip(a)]. 1817 (x \ y) * (L(y / x,z,u) \ 1) = L(y / x,z,u) \ (x \ y). [para(118(a,1),1816(a,1,2)),flip(a)]. 1818 L(x / (x / y),z,u) \ ((x / y) \ x) = y * (L(x / (x / y),z,u) \ 1). [hyper(66,a,182,a(flip),b,1817,a),flip(a)]. 1822 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(883(a,1),1391(a,2,1))]. 1823 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(37,a,272,a,b,1822,a),flip(a)]. 1824 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(15(a,1),1463(a,1,2,2)),flip(a)]. 1825 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(15(a,1),1824(a,1,3,2)),flip(a)]. 1827 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(224,a,1531,a,b,1469,a(flip))]. 1828 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(224,a,1550,a(flip),b,1469,a(flip)),flip(a)]. 1829 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(13(a,1),1469(a,1,2,1,2)),flip(a)]. 1830 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(224,a,1586,a(flip),b,1829,a),flip(a)]. 1831 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1830(a,1),46(a,1))]. 1832 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(203(a,1),1830(a,1,2)),flip(a)]. 1833 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(453(a,1),1830(a,2,1,2))]. 1834 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(903(a,1),1832(a,2,2,1))]. 1835 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1787(a,1),1834(a,1,1)),flip(a)]. 1836 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(15(a,1),1528(a,1,2,1)),flip(a)]. 1837 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(135,a,1836,a)]. 1839 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(66,a,927,a(flip),b,1837,a),flip(a)]. 1840 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(595(a,1),1609(a,2,2,1))]. 1841 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(207(a,1),1740(a,2,1))]. 1842 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(285,a,85,a(flip),b,1841,a),flip(a)]. 1844 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1842(a,1),1124(a,1,1)),flip(a)]. 1845 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(66,a,1476,a(flip),b,1844,a)]. 1846 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(90(a,1),1845(a,1,1,2,1))]. 1847 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(90(a,1),1846(a,2,2,1))]. 1848 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(138,a,1847,a)]. 1850 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1847(a,1),1762(a,1,1))]. 1851 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(16(a,1),1850(a,1,1,2))]. 1852 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(123,a,16,a(flip),b,1848,a),flip(a)]. 1853 K(1 / x,(y / (x * y)) * x) = 1. [para(16(a,1),1851(a,1,2,2))]. 1854 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(59,a,1853,a)]. 1855 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1504,a,1854,a)]. 1856 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(124,a,1854,a(flip),b,1093,a)]. 1857 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(205(a,2),1855(a,1,3))]. 1858 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1857(a,1),359(a,1,2))]. 1859 L(x \ 1,x,x \ 1) = 1 / x. [para(366(a,1),1857(a,1,3))]. 1860 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1859(a,1),30(a,2,1))]. 1861 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1859(a,1),35(a,1,1)),flip(a)]. 1862 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1859(a,1),359(a,1,2))]. 1863 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1859(a,1),1353(a,1,1,2)),flip(a)]. 1864 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1859(a,1),1588(a,2,1,2))]. 1865 T(1 / (1 / x),x \ 1) = x. [hyper(1235,a,1862,a)]. 1866 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(285,a,243,a,b,1862,a),flip(a)]. 1867 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1862(a,2),339(a,1))]. 1869 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1865(a,1),28(a,1,1)),flip(a)]. 1870 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1865(a,1),142(a,1,1)),flip(a)]. 1871 T(x,x \ 1) / x = K(x,x \ 1). [para(1865(a,1),1237(a,1,1)),flip(a)]. 1872 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(136,a,1866,a)]. 1873 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(66,a,1316,a(flip),b,1866,a)]. 1874 x * K(x \ 1,x) = 1 / (1 / x). [hyper(124,a,1866,a(flip),b,1316,a(flip))]. 1875 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1866(a,1),841(a,1,1))]. 1876 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(117(a,1),1871(a,1,1))]. 1877 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1872(a,1),103(a,1,1))]. 1878 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(66,a,358,a(flip),b,1873,a),flip(a)]. 1880 L(x,x \ 1,x) = 1 / (1 / x). [hyper(776,a,1874,a)]. 1881 K(x \ 1,x) * x = 1 / (1 / x). [hyper(66,a,1408,a,b,1874,a)]. 1885 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(1874(a,1),479(a,1,1,1))]. 1886 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1880(a,1),34(a,1,1)),flip(a)]. 1887 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1557(a,1,1,2,2))]. 1888 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(136,a,1876,a)]. 1889 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(124,a,1876,a(flip),b,1108,a(flip))]. 1890 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1881(a,1),328(a,1,1))]. 1892 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(66,a,1384,a,b,1889,a)]. 1893 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1892(a,1),499(a,1,1))]. 1894 T(x,1 / x) = T(x,x \ 1). [para(230(a,1),1869(a,1,1)),flip(a)]. 1895 T(x,1 / x) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1894,a),flip(a)]. 1896 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1894(a,1),425(a,1,1,2))]. 1897 T(x,x \ 1) / x = K(x,1 / x). [para(1894(a,1),737(a,1,1))]. 1898 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1894(a,1),736(a,2,1))]. 1899 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(87(a,1),1895(a,1,2))]. 1900 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1895(a,1),737(a,1,1))]. 1901 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1895(a,1),951(a,1,1,1))]. 1902 K(x,1 / x) = K(x,x \ 1). [hyper(66,a,1871,a(flip),b,1897,a),flip(a)]. 1903 K(x,x \ 1) = x * (1 / x). [hyper(402,a,1902,a),flip(a)]. 1904 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(66,a,626,a,b,1902,a)]. 1905 x \ K(x,x \ 1) = 1 / x. [hyper(122,a,1902,a(flip),b,245,a(flip))]. 1906 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(87(a,1),1902(a,1,2)),flip(a)]. 1908 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1902(a,1),1062(a,1,2))]. 1909 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1902(a,1),1315(a,1,2))]. 1910 (x \ 1) * K(x,1 / x) = 1 / x. [para(1902(a,2),1889(a,1,2))]. 1911 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(124,a,1903,a,b,1753,a),flip(a)]. 1912 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [hyper(124,a,1903,a,b,1244,a)]. 1913 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [hyper(124,a,1903,a,b,176,a)]. 1914 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(66,a,401,a,b,1903,a)]. 1916 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1903(a,2),100(a,1,1))]. 1917 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1903(a,2),106(a,1,2,2))]. 1918 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1903(a,2),445(a,1,1))]. 1919 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1903(a,2),981(a,1,1,2,1))]. 1920 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),830(a,1,1))]. 1921 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1903(a,2),1245(a,1,2))]. 1922 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1903(a,2),1746(a,1,1,2))]. 1923 x * (1 / x) != y | K(x,x \ 1) = y. [para(1905(a,1),240(a,1,2)),flip(b)]. 1926 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(285,a,284,a,b,1899,a)]. 1927 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(117(a,2),1899(a,2,1)),flip(a)]. 1928 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(90(a,1),1900(a,1,1,1)),flip(a)]. 1929 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [hyper(124,a,1909,a(flip),b,176,a)]. 1930 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1909(a,1),113(a,2,2))]. 1931 (1 / x) / K(x,1 / x) = x \ 1. [hyper(135,a,1910,a)]. 1933 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1927(a,1),359(a,1,2,1))]. 1934 R(1 / x,x,1 / x) = x \ 1. [hyper(623,a,1931,a)]. 1935 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1934(a,1),371(a,1,1)),flip(a)]. 1936 K(x,1 / x) != y | K(x,x \ 1) = y. [para(245(a,2),1923(a,1))]. 1937 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1926(a,1),1402(a,2,1,2,2))]. 1938 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1860(a,1),448(a,1,2))]. 1939 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1890(a,1),587(a,1,1,1)),flip(a)]. 1940 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1928(a,2),1867(a,1))]. 1941 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1935(a,1),176(a,1,1))]. 1942 K(x \ 1,x) * L(1 / x,y,z) != u | (x \ 1) * (x * L(x \ 1,y,z)) = u. [para(1861(a,1),764(a,1,2))]. 1943 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1886(a,1),1695(a,1,1))]. 1944 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1898(a,1),661(a,1,2))]. 1947 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1940,a,1902,a),flip(a)]. 1948 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(1902(a,1),1940(a,1))]. 1950 K(1 / x,x) != y | K(x \ 1,x) = y. [para(90(a,1),1948(a,1,2))]. 1951 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(1950,a,1916,a(flip)),flip(a)]. 1952 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1626,a,1858,a)]. 1953 T(1 / (1 / x),y / (x * y)) = x. [para(205(a,1),1952(a,1,2))]. 1954 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1952(a,1),1869(a,1,1)),flip(a)]. 1955 T(x,y / (x * y)) = T(x,x \ 1). [para(1953(a,1),1869(a,1,1)),flip(a)]. 1956 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1955,a),flip(a)]. 1957 T(x,(x \ y) / y) = T(x,x \ 1). [para(15(a,1),1955(a,1,2,2))]. 1958 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1955(a,1),1296(a,2,1))]. 1959 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(17(a,1),1956(a,1,2,2))]. 1960 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [hyper(124,a,1957,a(flip),b,27,a(flip))]. 1961 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1957(a,1),263(a,1,2))]. 1962 x \ T(x,x \ 1) = K(x,1 / x). [hyper(122,a,1954,a(flip),b,1547,a(flip))]. 1963 x * K(x,x \ 1) = T(x,x \ 1). [hyper(124,a,1902,a(flip),b,1962,a)]. 1964 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(66,a,278,a(flip),b,1962,a)]. 1965 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1963,a),flip(a)]. 1966 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(122,a,1955,a,b,1963,a)]. 1969 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1963(a,1),479(a,1,1,1))]. 1970 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(122,a,1964,a,b,245,a(flip))]. 1971 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(122,a,1964,a(flip),b,994,a),flip(a)]. 1972 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1964(a,2),1936(a,1))]. 1974 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [hyper(124,a,1959,a(flip),b,27,a(flip))]. 1975 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1959(a,1),418(a,1,1))]. 1976 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1896,a),flip(a)]. 1977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(90(a,1),1901(a,1,1,1,1)),flip(a)]. 1978 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1901(a,1),118(a,1,1))]. 1979 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1903(a,2),1922(a,2,2))]. 1980 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(209(a,1),1976(a,1,1)),flip(a)]. 1981 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(128,a,1979,a)]. 1982 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(123,a,150,a(flip),b,1979,a)]. 1983 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1981(a,1),981(a,1,1)),flip(a)]. 1984 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1982(a,1),118(a,1,1))]. 1985 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1982(a,1),630(a,1,1))]. 1986 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(16(a,1),1852(a,1,1)),flip(a)]. 1987 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1986(a,1),1121(a,1,1,2))]. 1989 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(285,a,1020,a(flip),b,1971,a),flip(a)]. 1990 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(37,a,628,a(flip),b,1975,a(flip))]. 1992 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(209(a,1),1980(a,1,1)),flip(a)]. 1993 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1992(a,1),1213(a,1,1))]. 1994 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1993(a,1),1207(a,1,1,1))]. 1995 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1526,a,b,1989,a)]. 1996 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1903(a,2),1863(a,2,1))]. 1997 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1996(a,1),1864(a,1,2))]. 1998 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1903(a,2),1997(a,2,1))]. 1999 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(14(a,1),1998(a,1,2,2)),flip(a)]. 2000 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(27(a,2),1998(a,1,2,2))]. 2001 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1998(a,1),46(a,1))]. 2002 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(285,a,1402,a,b,1937,a),flip(a)]. 2003 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2002(a,1),699(a,1,1)),flip(a)]. 2004 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [hyper(124,a,1938,a(flip),b,583,a)]. 2005 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(876,a,1994,a)]. 2006 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [hyper(124,a,2005,a(flip),b,1516,a)]. 2007 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1000(a,1),2005(a,1,2,1))]. 2008 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2007(a,1),1697(a,1,1))]. 2009 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(237,a,2008,a),flip(a)]. 2012 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(66,a,2006,a,b,2009,a)]. 2013 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2007(a,2),2012(a,1,2))]. 2014 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(285,a,686,a(flip),b,1919,a),flip(a)]. 2015 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(285,a,1903,a,b,1941,a),flip(a)]. 2016 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(66,a,625,a(flip),b,1987,a),flip(a)]. 2018 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(136,a,2016,a)]. 2020 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(285,a,699,a(flip),b,2003,a),flip(a)]. 2021 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(21(a,2),2020(a,2,1))]. 2022 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(21(a,2),2021(a,1,1))]. 2023 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1856(a,1),2015(a,1,2))]. 2024 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(138,a,2023,a),flip(a)]. 2026 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(979,a,1877,a(flip))]. 2027 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(2026(a,2),46(a,1))]. 2028 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(14(a,1),1757(a,1,1,1))]. 2029 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(224,a,2028,a,b,15,a)]. 2030 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(135,a,2028,a)]. 2033 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(285,a,413,a(flip),b,751,a),flip(a)]. 2034 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(903(a,1),2033(a,2,2))]. 2035 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(66,a,1303,a,b,2034,a)]. 2036 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2034(a,1),1302(a,1,1)),flip(a)]. 2037 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2034(a,1),2035(a,1,1,2))]. 2038 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(14(a,1),2037(a,1,1))]. 2040 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(815,a,879,a),flip(a)]. 2041 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [para(12(a,1),2040(a,1,2,1,2,2))]. 2042 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(17(a,1),2040(a,1,2,1,2,2)),flip(a)]. 2043 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(798(a,1),2040(a,2,1))]. 2044 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [hyper(800,a,2041,a)]. 2045 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(798(a,1),2041(a,2,1))]. 2046 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(112(a,1),2044(a,1,2))]. 2047 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(66,a,1178,a(flip),b,2045,a)]. 2048 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(66,a,1177,a(flip),b,2045,a),flip(a)]. 2049 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(224,a,2045,a(flip),b,1721,a(flip))]. 2052 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(285,a,1537,a(flip),b,2049,a)]. 2053 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1326(a,1),2048(a,1,1)),flip(a)]. 2054 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(15(a,1),2052(a,2,1,2,1))]. 2055 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(419(a,2),2052(a,2,1,2,1)),flip(a)]. 2056 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1000(a,1),2054(a,1,2,1))]. 2057 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1903(a,2),2056(a,2,1))]. 2058 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2057(a,1),2013(a,1,2))]. 2059 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2058(a,1),46(a,1))]. 2060 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(293,a,2042,a),flip(a)]. 2061 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2042(a,1),293(a,1))]. 2062 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(66,a,1179,a(flip),b,2060,a)]. 2063 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(66,a,1043,a(flip),b,2060,a),flip(a)]. 2064 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(224,a,2063,a,b,15,a)]. 2066 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(334(a,2),2062(a,2,1,2,1)),flip(a)]. 2067 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2045(a,1),2062(a,1,2)),flip(a)]. 2068 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1043(a,1),2061(a,1))]. 2070 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(293,a,2043,a),flip(a)]. 2071 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(66,a,1179,a(flip),b,2043,a)]. 2072 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(15(a,1),2071(a,1,2,2,1)),flip(a)]. 2073 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2072(a,2,2,2,1))]. 2074 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2045(a,1),2047(a,1,2)),flip(a)]. 2075 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1537(a,2),2074(a,1,1))]. 2076 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1326(a,1),2053(a,1,2)),flip(a)]. 2077 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(135,a,2076,a)]. 2078 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2077(a,1),813(a,1,1))]. 2079 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(66,a,487,a(flip),b,2078,a),flip(a)]. 2080 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2079(a,1),638(a,1,1))]. 2081 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(630,a,2080,a),flip(a)]. 2082 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(285,a,21,a,b,2081,a)]. 2083 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(21(a,2),2082(a,2,1,2)),flip(a)]. 2084 T(1 / x,K(y,x)) = 1 / x. [hyper(250,a,2083,a)]. 2085 K(x,y) * (1 / y) = (1 / y) * K(x,y). [hyper(136,a,2083,a)]. 2086 x / (1 / (1 / x)) = K(x,1 / x). [para(1315(a,1),2083(a,1,1))]. 2087 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [hyper(254,a,2084,a)]. 2088 K(1 / x,K(y,x)) = 1. [hyper(58,a,2084,a)]. 2089 K(x,K(y,x \ 1)) = 1. [para(87(a,1),2088(a,1,1))]. 2090 T(x,K(y,x \ 1)) = x. [hyper(59,a,2089,a)]. 2091 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2090(a,1),222(a,1,2,1)),flip(a)]. 2092 x / (1 / (1 / x)) = x * (1 / x). [hyper(285,a,245,a(flip),b,2086,a),flip(a)]. 2093 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(136,a,2086,a)]. 2094 L(x,1 / x,x) = 1 / (1 / x). [hyper(554,a,2092,a)]. 2095 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2094(a,1),30(a,2,1))]. 2096 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1902(a,1),2093(a,1,1))]. 2097 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(128,a,2096,a)]. 2098 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2096(a,1),103(a,1,1))]. 2099 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2087(a,1),784(a,1,1,1))]. 2100 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [hyper(124,a,2095,a(flip),b,936,a)]. 2101 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(66,a,1912,a(flip),b,2091,a),flip(a)]. 2102 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2091(a,1),46(a,1)),flip(a)]. 2103 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(308,a,2099,a)]. 2104 T(K(x,y),y \ 1) = K(x,y). [para(366(a,1),2103(a,1,2))]. 2105 T(x \ 1,K(y,x)) = x \ 1. [hyper(57,a,2104,a)]. 2106 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2105(a,1),1399(a,1,1)),flip(a)]. 2107 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1902(a,1),2100(a,1,1))]. 2108 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2001,a,2101,a)]. 2109 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2097(a,2),2107(a,1,2,1))]. 2110 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(285,a,1977,a(flip),b,2108,a),flip(a)]. 2111 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2109(a,1),925(a,1,1))]. 2112 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1951(a,1),2111(a,1,2))]. 2113 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1951(a,1),2112(a,2,1,2))]. 2114 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1874(a,1),2113(a,2,1))]. 2116 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(66,a,1245,a(flip),b,966,a)]. 2117 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [hyper(124,a,966,a(flip),b,358,a(flip))]. 2118 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(2117(a,1),46(a,1)),flip(a)]. 2119 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(66,a,846,a(flip),b,970,a),flip(a)]. 2120 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2119(a,1),818(a,1,2))]. 2121 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(684(a,1),1419(a,1,1)),flip(a)]. 2122 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(745(a,1),1780(a,1,1))]. 2123 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1027(a,1),2122(a,1,1))]. 2124 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1775(a,1),2123(a,1,2))]. 2125 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(66,a,30,a,b,2124,a)]. 2126 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1772(a,1),2125(a,1,1))]. 2127 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(66,a,1027,a,b,2126,a)]. 2128 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2126(a,1),1712(a,1,2))]. 2129 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(66,a,1781,a(flip),b,2127,a),flip(a)]. 2130 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(285,a,472,a(flip),b,1939,a),flip(a)]. 2131 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(66,a,938,a(flip),b,2130,a)]. 2132 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1873(a,1),2131(a,1,2,2,1,2))]. 2133 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(329(a,1),2132(a,1,2,2,1))]. 2134 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(222(a,1),2133(a,1,2)),flip(a)]. 2135 T(x,L(x \ 1,y,z) * x) = x. [hyper(225,a,2134,a)]. 2136 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(357(a,1),2135(a,1,2,1))]. 2137 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(90(a,1),2136(a,1,2,1))]. 2138 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2137(a,1),727(a,1,1))]. 2139 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2138(a,1),1169(a,1,1))]. 2140 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1602(a,1),2139(a,1,2))]. 2141 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(386,a,2140,a)]. 2142 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1625(a,1),2141(a,1,2,1)),flip(a)]. 2143 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(231(a,1),2142(a,2,2))]. 2144 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1625(a,1),2143(a,1,2))]. 2145 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(683(a,1),2116(a,1,2)),flip(a)]. 2146 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2104(a,1),1361(a,1,2,1,2))]. 2147 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(326(a,1),2146(a,1,2,1)),flip(a)]. 2148 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(57,a,2147,a)]. 2149 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(285,a,90,a(flip),b,2148,a),flip(a)]. 2150 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(90(a,1),2149(a,1,1))]. 2151 T(x,x * T(1 / x,y)) = x. [para(90(a,1),2150(a,1,2,1))]. 2152 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(57,a,2151,a)]. 2154 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,1529,a,b,2152,a)]. 2155 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(27(a,2),1412(a,1,1,2,2,1,2)),flip(a)]. 2156 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1651(a,1),1447(a,1,2,1))]. 2157 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1156(a,1),2156(a,1,2)),flip(a)]. 2158 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2157(a,1),1655(a,1,2))]. 2159 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(386,a,2158,a)]. 2160 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(66,a,32,a,b,2159,a)]. 2161 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(285,a,32,a,b,2160,a),flip(a)]. 2162 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2144(a,2),2161(a,1,1))]. 2163 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(84(a,1),1449(a,1,1)),flip(a)]. 2164 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(116(a,1),2163(a,1,1))]. 2166 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(14(a,1),2164(a,1,1,1)),flip(a)]. 2167 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2164(a,1),47(a,1))]. 2168 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(87(a,1),2164(a,1,2)),flip(a)]. 2169 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2166(a,2),47(a,1))]. 2170 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(87(a,1),2168(a,1,1,2)),flip(a)]. 2172 T(((x \ 1) \ y) * (x \ 1),x) = x \ T(y * x,x \ 1). [hyper(224,a,2170,a,b,15,a)]. 2174 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(915(a,1),2170(a,1,1)),flip(a)]. 2175 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(931(a,1),2174(a,1,1)),flip(a)]. 2176 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(118(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(630,a,2176,a),flip(a)]. 2178 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(14(a,1),2177(a,1,1,2)),flip(a)]. 2179 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [hyper(138,a,2178,a)]. 2180 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [hyper(124,a,182,a(flip),b,2178,a),flip(a)]. 2181 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(14(a,1),2179(a,1,2,1)),flip(a)]. 2182 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(97(a,1),2179(a,1,2,1)),flip(a)]. 2183 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2179(a,1),429(a,1,2))]. 2184 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [hyper(124,a,2181,a(flip),b,27,a(flip)),flip(a)]. 2185 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(285,a,242,a(flip),b,2184,a),flip(a)]. 2186 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(123,a,242,a(flip),b,2184,a)]. 2187 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(17(a,1),2186(a,1,1,1)),flip(a)]. 2188 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(247(a,1),2186(a,1,1,1))]. 2189 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(66,a,508,a(flip),b,2188,a),flip(a)]. 2190 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(2189(a,2),47(a,1))]. 2191 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1080(a,1),1724(a,1,2,1)),flip(a)]. 2192 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2191,a),flip(a)]. 2193 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2192(a,1),46(a,1))]. 2194 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),1742(a,1,2,1)),flip(a)]. 2195 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2194,a),flip(a)]. 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1764(a,1),1766(a,1,2)),flip(a)]. 2197 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(122,a,14,a(flip),b,2196,a)]. 2199 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1281(a,2),2197(a,1,1,2))]. 2200 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1281(a,2),2199(a,1,2))]. 2201 K(x,y) / (y \ 1) = y * K(x,y). [hyper(185,a,2200,a)]. 2202 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(138,a,2200,a)]. 2203 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2200(a,1),300(a,1,2))]. 2204 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2201(a,1),841(a,1,1)),flip(a)]. 2205 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2202(a,1),2121(a,1,1))]. 2206 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(285,a,244,a(flip),b,1767,a),flip(a)]. 2207 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1764(a,1),2206(a,1,1)),flip(a)]. 2208 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1266(a,2),2207(a,1,1)),flip(a)]. 2209 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1266(a,2),2208(a,1,1,2)),flip(a)]. 2210 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1887(a,1,2,2))]. 2211 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),1920(a,1,2,1,1))]. 2212 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2034(a,1),2036(a,1,2,1)),flip(a)]. 2213 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(17(a,1),2070(a,2,2,1,2,1))]. 2214 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(135,a,2213,a)]. 2215 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(12(a,1),2214(a,1,1,2,1,2,2)),flip(a)]. 2216 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2105(a,1),2106(a,2,2,1,1))]. 2217 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(285,a,883,a(flip),b,2216,a),flip(a)]. 2219 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(883(a,1),2217(a,1,1))]. 2220 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(57,a,2219,a)]. 2221 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2219(a,1),699(a,1,1)),flip(a)]. 2222 K(K(x,y),y \ T(y,z)) = 1. [hyper(58,a,2220,a)]. 2223 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1502(a,1),2222(a,1,2,2))]. 2224 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(27(a,2),2223(a,1,2))]. 2225 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(285,a,698,a,b,2221,a),flip(a)]. 2227 T(K(x,y),K(z,x)) = K(x,y). [para(21(a,2),2225(a,1,1))]. 2228 T(K(x,y),K(y,z)) = K(x,y). [hyper(57,a,2227,a)]. 2229 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(124,a,2227,a(flip),b,27,a(flip)),flip(a)]. 2230 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(2227(a,1),52(a,1)),flip(a)]. 2232 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2227(a,1),263(a,1,2))]. 2233 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2227(a,1),222(a,1,2,1)),flip(a)]. 2234 x \ y != K(z,u) * K(u,w) | x * (K(u,w) * K(z,u)) = y. [para(2227(a,1),533(a,2,2))]. 2235 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(2228(a,1),52(a,1)),flip(a)]. 2236 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2228(a,1),263(a,1,2))]. 2237 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2228(a,1),221(a,1,2,1)),flip(a)]. 2238 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2228(a,1),222(a,1,2,1)),flip(a)]. 2239 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2228(a,1),223(a,1,2,1)),flip(a)]. 2240 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2228(a,1),383(a,1,2,1))]. 2241 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2228(a,1),384(a,1,2,1))]. 2243 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1947(a,1),2110(a,1,1))]. 2244 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(949(a,1),2243(a,1,2))]. 2245 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(897(a,1),2211(a,2,2))]. 2246 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(285,a,1438,a(flip),b,2245,a),flip(a)]. 2247 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(688,a,2246,a),flip(a)]. 2248 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(124,a,2246,a(flip),b,845,a),flip(a)]. 2249 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(14(a,1),2246(a,1,2,1)),flip(a)]. 2251 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(118(a,1),2247(a,2,1))]. 2252 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2249(a,2),2000(a,1,2))]. 2253 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1985,a,2251,a)]. 2254 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(124,a,2251,a(flip),b,1984,a(flip))]. 2255 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(37,a,1912,a(flip),b,2254,a),flip(a)]. 2256 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(14(a,1),2254(a,1,2,1)),flip(a)]. 2257 R(x,y,K(x,x \ 1)) = x. [hyper(475,a,2256,a)]. 2258 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2257(a,1),32(a,2,1))]. 2259 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2257(a,1,3))]. 2260 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(66,a,1983,a(flip),b,2258,a),flip(a)]. 2262 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1906(a,1),2260(a,1,2,2))]. 2263 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2024(a,2),2260(a,1,2)),flip(a)]. 2265 (1 / x) * (y * K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2259(a,1),262(a,1,1))]. 2266 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2263(a,1),214(a,1,2,1))]. 2267 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(263,a,2252,a)]. 2268 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2252(a,1),263(a,1))]. 2269 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2267,a)]. 2270 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2269(a,1,3))]. 2271 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2270(a,1),30(a,2,1))]. 2272 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(436(a,1),2248(a,1,1,1)),flip(a)]. 2273 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(436(a,1),2272(a,1,1)),flip(a)]. 2274 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2273(a,2),1454(a,1,2))]. 2275 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(263,a,2274,a)]. 2276 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2275,a)]. 2277 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2276(a,1),30(a,2,1))]. 2278 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(66,a,1795,a(flip),b,2277,a)]. 2280 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(285,a,471,a(flip),b,678,a),flip(a)]. 2281 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1072,a,2280,a)]. 2282 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(116(a,1),2281(a,1,2)),flip(a)]. 2283 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(66,a,1598,a(flip),b,959,a)]. 2285 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2283(a,1),798(a,1,1)),flip(a)]. 2286 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | x * L(x \ 1,L(x,y,z),1 / x) = u. [para(2285(a,2),787(a,1))]. 2287 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1072,a,1272,a),flip(a)]. 2288 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(684(a,1),2287(a,2,2))]. 2289 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2288,a)]. 2290 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2289,a)]. 2291 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(85(a,1),2289(a,2,1,2))]. 2292 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(883(a,1),2289(a,1,1))]. 2293 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(16(a,1),2292(a,2,1,2))]. 2294 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(408(a,1),2292(a,2,1,2))]. 2295 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2029(a,2),2294(a,1,1))]. 2296 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1329(a,1),1294(a,2,1))]. 2297 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1357(a,1),2296(a,2,1,1))]. 2298 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(285,a,25,a,b,2297,a)]. 2299 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2298,a)]. 2300 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(85(a,1),2298(a,2,1,2))]. 2301 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1159(a,1),2298(a,2,1,2))]. 2302 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(263,a,2299,a),flip(a)]. 2303 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2300(a,1),112(a,1,1))]. 2304 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(2286,a,1542,a)]. 2305 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(827(a,1),1251(a,1,2)),flip(a)]. 2306 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(27(a,2),1467(a,1,1))]. 2307 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2263(a,1),2306(a,2,2))]. 2308 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),1495(a,1,2,1,1))]. 2309 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1486(a,1),1639(a,1,1))]. 2310 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2162(a,1),2309(a,1,1))]. 2311 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1625(a,1),2310(a,2,1))]. 2313 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2311(a,2),629(a,1))]. 2314 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),1840(a,1,1))]. 2315 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),2314(a,1,2,1,1))]. 2316 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(285,a,1606,a(flip),b,2308,a),flip(a)]. 2317 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1318(a,1),2316(a,2,1))]. 2318 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(285,a,473,a(flip),b,782,a),flip(a)]. 2319 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1194,a,2318,a)]. 2320 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1373(a,1),2319(a,2,1,1))]. 2321 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(32(a,2),1343(a,2,2,2))]. 2322 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(591(a,1),2321(a,2,2))]. 2323 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(335(a,1),2322(a,2,2))]. 2324 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1804(a,1),1823(a,1,2,2)),flip(a)]. 2325 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(122,a,1807,a(flip),b,2324,a(flip)),flip(a)]. 2326 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(901(a,1),1875(a,1,2)),flip(a)]. 2327 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1866(a,1),2326(a,1,2,1,2))]. 2328 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(326(a,1),2327(a,1,2,1)),flip(a)]. 2329 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),23(a,2,1)),flip(a)]. 2330 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),1078(a,1,1))]. 2331 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(883(a,1),2204(a,2,2))]. 2332 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2201(a,1),2331(a,1,2,1,2))]. 2333 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(27(a,2),2332(a,1,2,1))]. 2334 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1590(a,1),2293(a,1,1,2)),flip(a)]. 2335 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(79(a,1),2334(a,2,1))]. 2336 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(285,a,345,a(flip),b,2335,a),flip(a)]. 2339 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(124,a,2336,a(flip),b,97,a),flip(a)]. 2340 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(285,a,13,a(flip),b,2339,a),flip(a)]. 2341 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(947(a,1),1143(a,1,1)),flip(a)]. 2342 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(66,a,574,a(flip),b,2341,a),flip(a)]. 2343 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(285,a,1281,a,b,1282,a),flip(a)]. 2344 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(203(a,1),2343(a,1,2,1))]. 2346 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2344(a,1),630(a,1,1))]. 2347 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1638(a,1),1544(a,1,2,1))]. 2348 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(16(a,1),2347(a,1,2)),flip(a)]. 2350 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(319(a,1),1691(a,1,1,1,2))]. 2351 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(90(a,1),2350(a,1,2)),flip(a)]. 2353 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(209(a,1),2351(a,1,2)),flip(a)]. 2354 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(209(a,1),2353(a,1,1)),flip(a)]. 2355 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(123,a,249,a(flip),b,2354,a),flip(a)]. 2356 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(627,a,2355,a)]. 2357 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2356(a,1),48(a,1))]. 2358 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(790(a,1),1793(a,2,1))]. 2359 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(285,a,2305,a(flip),b,2358,a),flip(a)]. 2360 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1471(a,1),1794(a,2,2,1))]. 2361 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(16(a,1),2360(a,2,2))]. 2362 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(124,a,2361,a(flip),b,2359,a(flip))]. 2364 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(222(a,1),1797(a,1,2,1))]. 2365 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1029(a,1),2055(a,2,2,1))]. 2366 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1548(a,1),2365(a,1,1)),flip(a)]. 2367 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(66,a,1722,a(flip),b,2366,a)]. 2368 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1936,a,2367,a)]. 2369 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(285,a,1835,a,b,2368,a)]. 2370 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2368(a,2),52(a,1)),flip(a)]. 2371 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(37,a,1903,a(flip),b,2369,a),flip(a)]. 2373 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(249(a,1),2371(a,1,2))]. 2374 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1236(a,1),2373(a,1,1))]. 2375 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(66,a,1808,a(flip),b,2374,a),flip(a)]. 2376 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(180,a,2375,a),flip(a)]. 2377 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(117(a,1),2375(a,1,2,1))]. 2378 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(324(a,1),2375(a,1,2,1)),flip(a)]. 2379 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(66,a,615,a(flip),b,2376,a)]. 2380 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(90(a,1),2377(a,1,2,1,1))]. 2381 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(185,a,2378,a)]. 2382 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(124,a,2379,a(flip),b,27,a(flip))]. 2383 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(90(a,1),2379(a,1,1,1)),flip(a)]. 2384 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(118(a,1),2379(a,2,1,1))]. 2386 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(66,a,1874,a,b,2381,a)]. 2387 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(118(a,1),2381(a,1,2,2)),flip(a)]. 2388 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(687,a,2382,a)]. 2389 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(118(a,1),2382(a,1,2,1,1)),flip(a)]. 2391 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(285,a,1965,a,b,2388,a),flip(a)]. 2392 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2388,a),flip(a)]. 2393 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2388(a,1),1009(a,1,2))]. 2394 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2059,a,2391,a)]. 2395 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2370,a,2394,a),flip(a)]. 2396 K(K(x,x \ 1),y) = 1. [hyper(58,a,2394,a)]. 2397 T(x,K(y,y \ 1)) = x. [hyper(57,a,2394,a)]. 2398 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(124,a,2394,a(flip),b,27,a(flip)),flip(a)]. 2399 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(122,a,2394,a(flip),b,2057,a)]. 2401 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2394(a,1),263(a,1,2))]. 2402 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2394(a,1),219(a,1,1,2))]. 2404 K(K(x \ 1,x),y) = 1. [para(1906(a,1),2396(a,1,1))]. 2405 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2397(a,1),263(a,1,2))]. 2407 T(x,K(y \ 1,y)) = x. [para(1906(a,1),2397(a,1,2))]. 2408 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(59,a,2404,a)]. 2409 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2169,a,2407,a),flip(a)]. 2411 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2407(a,1),227(a,1,2))]. 2412 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2407(a,1),263(a,1,2))]. 2413 x \ y != K(z \ 1,z) * u | x * (u * K(z \ 1,z)) = y. [para(2407(a,1),533(a,2,2))]. 2414 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(66,a,1401,a,b,2408,a)]. 2415 T((x \ 1) * x,y) = K(x \ 1,x). [para(243(a,1),2408(a,1,1))]. 2416 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2408(a,1),263(a,1,2))]. 2418 x \ y != z * K(u \ 1,u) | x * (K(u \ 1,u) * z) = y. [para(2408(a,1),533(a,2,2))]. 2420 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(122,a,2398,a(flip),b,446,a)]. 2421 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2398(a,2),462(a,1,2))]. 2422 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1942,a,2409,a),flip(a)]. 2423 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(764,a,2409,a),flip(a)]. 2424 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(285,a,1076,a(flip),b,2409,a),flip(a)]. 2425 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(124,a,2409,a,b,14,a)]. 2426 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(122,a,481,a(flip),b,2409,a)]. 2427 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2409(a,1),103(a,1,1))]. 2428 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2409(a,2),462(a,1,2))]. 2429 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2409(a,2),327(a,1,1))]. 2430 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2409(a,1),2273(a,1,1))]. 2431 T(x,y * K(x \ 1,x)) = T(x,y). [para(2409(a,1),2278(a,1,2))]. 2432 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2408(a,2),2409(a,2,2)),flip(a)]. 2434 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2414(a,1),1115(a,1,1))]. 2435 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(254,a,2384,a)]. 2436 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [hyper(124,a,2387,a(flip),b,27,a(flip)),flip(a)]. 2437 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(612,a,2393,a)]. 2443 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(37,a,628,a(flip),b,2389,a(flip))]. 2445 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(113(a,2),2389(a,1,1,1,1))]. 2446 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1570(a,1),2424(a,2,2))]. 2447 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2424(a,1),2412(a,1))]. 2449 x * (K(y \ 1,y) * z) != x * u | z * K(y \ 1,y) = u. [para(2425(a,2),46(a,1))]. 2450 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(2425(a,2),647(a,1,2))]. 2451 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(14(a,1),2435(a,1,1,2,1,1))]. 2452 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2435(a,1),236(a,1,1)),flip(b)]. 2453 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(105(a,2),2436(a,2,2,2,2))]. 2454 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(14(a,1),2443(a,2,1,1))]. 2455 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2454,a),flip(a)]. 2457 T(x,y / (y * x)) = T(x,x \ 1). [hyper(66,a,1990,a(flip),b,2455,a)]. 2459 T(1 / (1 / x),y / (y * x)) = x. [hyper(1870,a,2457,a(flip))]. 2460 T(1 / (1 / x),(y / x) / y) = x. [para(17(a,1),2459(a,1,2,2))]. 2461 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2460(a,1),210(a,1,2,2))]. 2462 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1744(a,2),2461(a,1,2))]. 2465 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(768,a,2429,a)]. 2467 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2422(a,1),1460(a,1,1))]. 2468 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(66,a,1743,a(flip),b,2467,a)]. 2470 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(243(a,2),2468(a,1,1))]. 2471 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(66,a,2244,a(flip),b,2470,a),flip(a)]. 2472 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(285,a,1759,a(flip),b,2471,a),flip(a)]. 2473 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(38,a,2467,a,b,2472,a(flip))]. 2474 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(285,a,203,a(flip),b,2473,a)]. 2475 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(203(a,1),2474(a,2,2,2)),flip(a)]. 2476 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(285,a,13,a,b,2475,a),flip(a)]. 2477 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(128,a,2475,a)]. 2478 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2477(a,1),268(a,1,1))]. 2479 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(2118,a,2476,a(flip))]. 2480 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(122,a,2479,a(flip),b,2145,a(flip)),flip(a)]. 2482 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(285,a,117,a,b,2480,a),flip(a)]. 2483 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(123,a,2480,a(flip),b,2028,a),flip(a)]. 2484 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(15(a,1),2480(a,1,2,1))]. 2485 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(203(a,2),2480(a,1,2))]. 2486 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(96(a,1),2482(a,1,2,1))]. 2487 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(285,a,1876,a(flip),b,2483,a),flip(a)]. 2490 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(15(a,1),2487(a,1,2,1)),flip(a)]. 2491 K(x,y \ (y / x)) = K(x,x \ 1). [para(17(a,1),2487(a,1,2,1))]. 2492 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1033(a,2),2487(a,1,2,1))]. 2493 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2487(a,2),1951(a,1,1))]. 2494 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2487(a,2),2394(a,1,1))]. 2495 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(66,a,626,a,b,2491,a)]. 2497 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(90(a,1),2484(a,1,2))]. 2498 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2484(a,1),263(a,1,2))]. 2499 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2484(a,1),897(a,1,2)),flip(a)]. 2500 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2484(a,1),1264(a,1,2)),flip(a)]. 2501 T((x \ y) \ 1,x \ y) = T(x \ y,y \ x) \ 1. [para(2484(a,2),1899(a,2,1))]. 2502 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2494(a,1),2295(a,1,1))]. 2503 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(122,a,2490,a(flip),b,1903,a(flip))]. 2504 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(14(a,1),2490(a,2,2))]. 2505 T(x,K(y \ z,z \ y)) = x. [para(2490(a,1),2397(a,1,2))]. 2506 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2169,a,2505,a),flip(a)]. 2507 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(2497(a,1),1417(a,1,1,2))]. 2508 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(21(a,2),2486(a,1,2)),flip(a)]. 2509 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(632,a,2508,a),flip(a)]. 2510 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(66,a,2228,a(flip),b,2509,a),flip(a)]. 2515 1 / (1 / K(x,y)) = K(x,y). [para(2510(a,1),181(a,1,2,2))]. 2516 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2502(a,2),401(a,1,1)),flip(a)]. 2518 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(746(a,1),2492(a,1,2))]. 2519 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2490,a(flip),b,2518,a),flip(a)]. 2520 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(355(a,1),2478(a,2,1))]. 2521 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(66,a,2504,a(flip),b,2516,a)]. 2522 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),2507(a,2,2,2,1,2))]. 2524 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(325(a,1),2522(a,2,2))]. 2525 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2426(a,1),2465(a,1,1,2))]. 2526 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(66,a,2436,a(flip),b,2453,a),flip(a)]. 2527 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(285,a,411,a(flip),b,1613,a),flip(a)]. 2528 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(223(a,1),2527(a,2,2))]. 2529 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2262(a,1),2004(a,1,2,2,2)),flip(a)]. 2530 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2397(a,1),2420(a,1,2,1,1))]. 2531 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(16(a,1),1415(a,1,1))]. 2532 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(16(a,1),2531(a,1,2,1,1)),flip(a)]. 2533 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(14(a,1),2532(a,2,2,1))]. 2534 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(17(a,1),2533(a,1,1,1))]. 2535 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1801(a,2,1))]. 2536 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(285,a,1158,a(flip),b,2535,a),flip(a)]. 2538 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),2536(a,1,1))]. 2539 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(57,a,2538,a)]. 2540 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1732(a,1),2266(a,1,2))]. 2541 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(721,a,2540,a),flip(a)]. 2542 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(66,a,2307,a(flip),b,2541,a)]. 2543 K(x,y / (x * y)) = K(x,x \ 1). [hyper(66,a,1966,a(flip),b,2542,a),flip(a)]. 2545 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(17(a,1),2543(a,1,2,2)),flip(a)]. 2546 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(16(a,1),2545(a,2,2))]. 2547 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1196(a,1,2,1,1))]. 2548 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1194,a,2547,a),flip(a)]. 2549 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(820(a,1),2548(a,2,2))]. 2550 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(445,a,2549,a),flip(a)]. 2551 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(66,a,1250,a(flip),b,2550,a),flip(a)]. 2552 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1601(a,1),2551(a,1,1,2)),flip(a)]. 2553 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(285,a,2291,a(flip),b,2552,a),flip(a)]. 2554 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(38,a,243,a(flip),b,2553,a),flip(a)]. 2555 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(90(a,1),2554(a,1,1))]. 2556 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(949(a,1),2555(a,1,2))]. 2557 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(136,a,2556,a)]. 2558 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(38,a,2340,a,b,2557,a)]. 2560 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1506(a,1),2558(a,1,1)),flip(a)]. 2561 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(285,a,2062,a(flip),b,2066,a),flip(a)]. 2562 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(886(a,1),1689(a,1,1,1))]. 2563 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(243(a,2),2562(a,1,2,2))]. 2564 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1927(a,1),2301(a,1,1,2,1))]. 2565 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1652(a,1),2564(a,1,1,2)),flip(a)]. 2567 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(25(a,2),1515(a,2,2,1,1))]. 2568 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1532(a,1),2567(a,1,1))]. 2569 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1610(a,1),2568(a,1,1,1))]. 2570 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(479,a,2569,a),flip(a)]. 2572 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(66,a,1160,a(flip),b,2570,a),flip(a)]. 2573 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1654(a,1),2572(a,1,1,2)),flip(a)]. 2574 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(38,a,2302,a(flip),b,2573,a),flip(a)]. 2576 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1517(a,1,2,1,2,1))]. 2577 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(66,a,1178,a(flip),b,2576,a),flip(a)]. 2578 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1177(a,1),2577(a,2,2))]. 2579 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2578,a),flip(a)]. 2580 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(15(a,1),2579(a,1,2,1)),flip(a)]. 2581 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,1903,a,b,2580,a),flip(a)]. 2582 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1542(a,1),2581(a,1,1))]. 2583 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(23(a,2),1534(a,2,2,1,1))]. 2584 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(937(a,1),2583(a,1,2))]. 2585 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(823(a,1),2584(a,1,2,2))]. 2586 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2585,a),flip(a)]. 2588 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(958(a,1),2586(a,1,2))]. 2589 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1880(a,1),2586(a,2,1,2))]. 2591 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(13(a,1),2588(a,1,2,2)),flip(a)]. 2592 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2304(a,1),2591(a,1,1)),flip(a)]. 2593 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,2582,a(flip),b,2592,a),flip(a)]. 2594 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(37,a,1903,a(flip),b,2593,a),flip(a)]. 2595 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(66,a,2560,a,b,2594,a)]. 2596 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(185,a,2595,a),flip(a)]. 2597 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(87(a,1),2595(a,1,1,1,2)),flip(a)]. 2598 L(1 / (1 / x),y,z) \ ((1 / x) \ 1) = x * (1 / L(x,y,z)). [para(2595(a,1),1818(a,2,2))]. 2599 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(87(a,1),2596(a,1,1,2)),flip(a)]. 2600 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(451(a,1),2596(a,2,2,2))]. 2601 L(1 / (1 / ((x \ 1) \ y)),x \ 1,x) = 1 / (1 / (x * y)). [para(452(a,1),2596(a,2,2,2))]. 2602 L(1 / (1 / x),y / x,1 / y) = 1 / ((1 / y) * (y / x)). [para(707(a,1),2596(a,2,2))]. 2603 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2596(a,2),2526(a,1,2))]. 2604 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(180,a,2597,a)]. 2605 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(203(a,1),2599(a,1,2,2)),flip(a)]. 2606 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(357(a,1),2599(a,1,2,2)),flip(a)]. 2607 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(361(a,1),2599(a,1,2,2)),flip(a)]. 2608 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2599(a,1),1878(a,2,2))]. 2609 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(87(a,1),2605(a,1,1))]. 2610 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(87(a,1),2604(a,1,1,1,1)),flip(a)]. 2611 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(451(a,1),2610(a,2,1,1))]. 2612 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(453(a,1),2610(a,2,1,1))]. 2613 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(1899(a,2),2610(a,1,1))]. 2614 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,2362,a,b,2606,a)]. 2615 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,1603,a,b,2606,a)]. 2616 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(124,a,2607,a(flip),b,1917,a),flip(a)]. 2617 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2615(a,1),1911(a,1,2)),flip(a)]. 2618 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(37,a,1874,a,b,2614,a)]. 2619 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(285,a,625,a(flip),b,2618,a),flip(a)]. 2620 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(122,a,2618,a(flip),b,243,a(flip))]. 2621 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(78(a,1),2618(a,2,1))]. 2622 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2618(a,1),2500(a,1,2))]. 2623 T(x \ 1,y * K(x,x \ 1)) = T(x \ 1,y). [para(2621(a,1),2431(a,1,2,2))]. 2627 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2490(a,1),2617(a,1,2))]. 2628 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(66,a,2506,a,b,2627,a)]. 2629 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(66,a,2502,a,b,2619,a)]. 2630 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(285,a,2487,a(flip),b,2629,a),flip(a)]. 2631 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2629(a,1),2521(a,2,1)),flip(a)]. 2633 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1947(a,1),2630(a,1,1))]. 2634 K((x * y) \ x,y) = K(y \ 1,y). [hyper(66,a,2493,a(flip),b,2631,a),flip(a)]. 2636 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(116(a,1),2634(a,1,1,1)),flip(a)]. 2637 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(27(a,1),2636(a,2,2)),flip(a)]. 2638 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(744(a,1),2636(a,2,1,1))]. 2639 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(285,a,1947,a(flip),b,2633,a),flip(a)]. 2640 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2639(a,1),1106(a,1,2)),flip(a)]. 2641 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(123,a,16,a(flip),b,2640,a),flip(a)]. 2643 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(136,a,2641,a)]. 2644 ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). [para(2423(a,1),2641(a,1,1))]. 2645 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(66,a,1231,a,b,2643,a)]. 2646 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(16(a,1),2643(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(136,a,2645,a)]. 2648 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(66,a,153,a(flip),b,2645,a),flip(a)]. 2649 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2416,a,2646,a)]. 2650 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1105,a,2646,a)]. 2651 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2650(a,1,3))]. 2652 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(66,a,1930,a(flip),b,2651,a)]. 2653 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2651(a,1),1929(a,1,1)),flip(a)]. 2654 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2416,a,2648,a)]. 2656 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(285,a,886,a(flip),b,2649,a),flip(a)]. 2658 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(66,a,1982,a(flip),b,2652,a)]. 2659 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2401,a,2653,a)]. 2660 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(66,a,2616,a(flip),b,2658,a)]. 2661 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(122,a,2658,a(flip),b,2616,a(flip)),flip(a)]. 2662 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2656(a,1),2330(a,1,2)),flip(a)]. 2663 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(87(a,1),2660(a,1,2,2,2,2)),flip(a)]. 2664 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(180,a,2661,a)]. 2665 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(87(a,1),2661(a,2,2,2,2))]. 2666 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(14(a,1),2663(a,2,2,2,2))]. 2667 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(181(a,1),2664(a,1,1,2,2)),flip(a)]. 2668 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2609(a,2),2666(a,1,2))]. 2669 x / L(y,y \ 1,x) = x * (1 / y). [para(87(a,1),2668(a,2,2,2))]. 2671 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(554,a,2669,a)]. 2672 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2669(a,2),625(a,1,1,2))]. 2673 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(87(a,1),2671(a,1,2)),flip(a)]. 2674 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(117(a,2),2673(a,1,2))]. 2675 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2674(a,1),2613(a,2,1,1))]. 2676 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(66,a,2292,a,b,2672,a)]. 2677 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(66,a,2289,a,b,2672,a)]. 2678 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(66,a,106,a,b,2677,a)]. 2679 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(90(a,1),2677(a,1,2))]. 2680 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(180,a,2667,a)]. 2682 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(66,a,2497,a,b,2680,a)]. 2683 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(124,a,2497,a,b,2680,a(flip))]. 2684 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [hyper(124,a,2682,a(flip),b,27,a(flip))]. 2685 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2447,a,2683,a)]. 2686 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(66,a,2424,a,b,2683,a)]. 2687 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(16(a,1),2685(a,1,1)),flip(a)]. 2688 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2685(a,1),1458(a,1,1))]. 2689 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(136,a,2687,a)]. 2690 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2376(a,2),2687(a,1,2))]. 2691 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(16(a,1),2688(a,1,1)),flip(a)]. 2692 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(117(a,2),2688(a,1,1,2))]. 2693 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(611(a,1),2688(a,1,1)),flip(a)]. 2694 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(924(a,1),2688(a,1,1)),flip(a)]. 2695 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2689(a,1),47(a,1)),flip(a)]. 2697 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2409(a,2),2689(a,1,1))]. 2698 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2646(a,1),2689(a,1,1))]. 2699 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(38,a,481,a,b,2691,a),flip(a)]. 2700 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2691(a,1),2647(a,1,1)),flip(a)]. 2701 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(135,a,2692,a)]. 2702 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2416,a,2693,a)]. 2703 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2342(a,1),2693(a,1,1))]. 2704 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2697(a,1),47(a,1)),flip(a)]. 2706 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(482,a,2699,a)]. 2707 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2699(a,1),202(a,1,2)),flip(a)]. 2708 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1959(a,2),2699(a,1,2))]. 2709 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(66,a,2699,a(flip),b,2698,a),flip(a)]. 2710 R(x,y \ 1,y) / y = x * (1 / y). [hyper(123,a,2699,a(flip),b,2698,a(flip))]. 2712 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2709,a)]. 2713 R(x / (1 / y),y \ 1,y) = x * y. [hyper(293,a,2709,a),flip(a)]. 2714 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2709(a,1),206(a,1,2))]. 2716 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2085(a,1),2709(a,1,1))]. 2717 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2647(a,1),2709(a,1,1)),flip(a)]. 2718 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(285,a,2706,a,b,2712,a)]. 2719 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(66,a,572,a(flip),b,2712,a),flip(a)]. 2720 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(87(a,1),2712(a,1,2)),flip(a)]. 2721 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2713(a,1),1662(a,1,1,2))]. 2722 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2714(a,1),2525(a,1,1))]. 2723 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1899(a,2),2718(a,1,3))]. 2724 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1974(a,1),2700(a,1,1))]. 2725 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(285,a,2714,a(flip),b,2707,a),flip(a)]. 2726 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(87(a,1),2676(a,2,1)),flip(a)]. 2728 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(886(a,2),2726(a,2,1))]. 2729 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2726(a,2),1084(a,2,2))]. 2730 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1431(a,1),2717(a,2,1))]. 2731 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2637(a,1),2622(a,1,2)),flip(a)]. 2732 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(122,a,2600,a(flip),b,244,a)]. 2733 (x \ 1) * (1 / (1 / ((x \ 1) \ y))) = x \ (1 / (1 / (x * y))). [hyper(122,a,2601,a(flip),b,242,a),flip(a)]. 2734 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(122,a,2611,a(flip),b,244,a)]. 2735 L(x / (y \ 1),y \ 1,y) = L(x,y,y \ 1) / (1 / y). [hyper(66,a,791,a(flip),b,2644,a)]. 2736 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(901(a,1),2679(a,1,1))]. 2737 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(66,a,792,a(flip),b,2736,a),flip(a)]. 2738 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(136,a,2737,a(flip))]. 2739 T(K(1 / (1 / x),y),x) = K(x,y). [para(2737(a,2),208(a,1,1))]. 2740 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(249(a,1),2739(a,1,1,1,2))]. 2741 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2739(a,1),919(a,2,2))]. 2742 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(66,a,1694,a,b,2738,a)]. 2743 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(87(a,1),2740(a,1,1,1))]. 2745 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(66,a,2022,a(flip),b,2743,a),flip(a)]. 2746 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(117(a,1),2745(a,1,1)),flip(a)]. 2747 x * K((x \ 1) \ 1,y) = K(x,y) * x. [hyper(124,a,2746,a(flip),b,27,a(flip))]. 2748 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(90(a,1),2747(a,1,2,1,1)),flip(a)]. 2749 L(1 / (1 / x),y / x,1 / y) \ ((1 / x) \ 1) = x * ((1 / y) * (y / x)). [para(707(a,1),2598(a,2,2))]. 2750 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2675(a,1),1933(a,1,2))]. 2751 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2750(a,1),1404(a,2,1,2))]. 2752 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(87(a,1),2723(a,2,2))]. 2754 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(117(a,2),2752(a,1,2))]. 2755 x * K(x \ (y \ 1),(y \ 1) \ x) = y \ (1 / (1 / (y * x))). [hyper(66,a,2627,a,b,2733,a)]. 2756 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(285,a,2622,a,b,2734,a),flip(a)]. 2757 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2742(a,1),2741(a,1,1,2))]. 2758 (1 / x) \ K(x,y) = K(x,y) * x. [para(14(a,1),2757(a,1,1)),flip(a)]. 2761 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2484(a,2),2612(a,1,1))]. 2762 K(x,y) / (x \ 1) = x * K(x,y). [para(2728(a,2),2729(a,1,1))]. 2763 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(136,a,2762,a)]. 2764 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(285,a,625,a(flip),b,2751,a),flip(a)]. 2766 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(117(a,1),2764(a,2,1))]. 2767 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(203(a,1),2766(a,1,2,1))]. 2769 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2767(a,1),2346(a,1))]. 2770 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2713(a,1),2721(a,1,2,2))]. 2771 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(66,a,695,a(flip),b,2761,a)]. 2772 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(66,a,566,a(flip),b,2761,a)]. 2773 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(78(a,1),2772(a,2,1,1))]. 2774 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(19(a,2),2771(a,1,1))]. 2775 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(285,a,1848,a(flip),b,2724,a),flip(a)]. 2777 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(123,a,87,a(flip),b,2775,a),flip(a)]. 2778 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(87(a,1),2777(a,1,2)),flip(a)]. 2780 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2778(a,1),1466(a,1,2,1,2))]. 2781 (1 / ((1 / x) * (x / y))) \ ((1 / y) \ 1) = y * ((1 / x) * (x / y)). [para(2602(a,1),2749(a,1,1))]. 2782 (1 / ((1 / x) * (x / y))) \ y = y * ((1 / x) * (x / y)). [para(90(a,1),2781(a,1,2))]. 2783 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(265,a,2603,a),flip(a)]. 2784 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(15(a,1),2783(a,1,2,2,2,2))]. 2786 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2662(a,2),888(a,1))]. 2787 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(23(a,2),2774(a,1,2,2))]. 2788 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(19(a,2),2787(a,2,1,1))]. 2789 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1036(a,1),2638(a,2,1))]. 2790 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2519,a(flip),b,2789,a),flip(a)]. 2791 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(14(a,1),2780(a,1,2,1)),flip(a)]. 2792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(25(a,2),1605(a,2,2,1,1))]. 2793 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1550(a,1),2792(a,1,1))]. 2794 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1586(a,1),2793(a,1,1,1))]. 2795 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(479,a,2794,a),flip(a)]. 2796 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(693(a,1),2795(a,2,1,2))]. 2797 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1627(a,1),2795(a,1,2))]. 2798 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1162(a,1),2796(a,1,2))]. 2799 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(186(a,1),2798(a,2,1,2))]. 2800 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1903(a,2),2799(a,2,1))]. 2801 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(13(a,1),2797(a,1,2,2)),flip(a)]. 2802 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(112(a,1),2046(a,1,1,1,2,2)),flip(a)]. 2803 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(285,a,798,a(flip),b,2802,a),flip(a)]. 2804 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(285,a,2043,a(flip),b,2803,a),flip(a)]. 2805 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(798(a,1),2804(a,1,1))]. 2806 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2045(a,1),2805(a,2,1))]. 2807 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(38,a,112,a,b,2806,a),flip(a)]. 2808 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1538,a,2807,a),flip(a)]. 2809 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(15(a,1),2807(a,1,2,1)),flip(a)]. 2810 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,1903,a,b,2809,a),flip(a)]. 2811 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1150(a,1),2810(a,1,1,2,1))]. 2812 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2791(a,1),1165(a,1,1,2))]. 2813 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(17(a,1),2812(a,1,1,2))]. 2815 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1157(a,1),2813(a,1,1)),flip(a)]. 2817 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(883(a,1),2205(a,2,1,2))]. 2818 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(901(a,1),1394(a,2,1))]. 2819 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(14(a,1),2818(a,1,2,1)),flip(a)]. 2820 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(285,a,826,a(flip),b,2819,a),flip(a)]. 2821 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2030(a,1),2820(a,1,1))]. 2822 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2487(a,1),2821(a,1,1))]. 2823 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2822,a(flip),b,2398,a(flip))]. 2825 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(66,a,2608,a,b,2823,a)]. 2827 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2825(a,1),1284(a,1,2)),flip(a)]. 2828 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2485(a,1),2827(a,1,2)),flip(a)]. 2830 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2401,a,2828,a)]. 2831 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(293,a,2828,a),flip(a)]. 2832 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(66,a,1979,a,b,2828,a)]. 2833 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(116(a,1),2828(a,1,1))]. 2835 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(285,a,280,a,b,2830,a),flip(a)]. 2836 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [para(17(a,1),2830(a,1,2)),flip(a)]. 2837 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(123,a,338,a(flip),b,2832,a),flip(a)]. 2838 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(38,a,2698,a(flip),b,2832,a),flip(a)]. 2839 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(38,a,2697,a(flip),b,2832,a),flip(a)]. 2840 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(38,a,2689,a(flip),b,2832,a),flip(a)]. 2841 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2704,a,2832,a(flip))]. 2842 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2695,a,2832,a(flip))]. 2844 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1888(a,2),2832(a,2,2))]. 2845 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2401,a,2839,a)]. 2846 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(38,a,2653,a,b,2839,a),flip(a)]. 2847 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(38,a,2398,a(flip),b,2839,a),flip(a)]. 2848 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(38,a,2024,a(flip),b,2839,a),flip(a)]. 2849 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2654(a,1),2839(a,1,1))]. 2850 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2401,a,2840,a)]. 2851 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(293,a,2840,a),flip(a)]. 2852 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(287,a,2840,a)]. 2853 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(38,a,2653,a,b,2840,a),flip(a)]. 2854 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(38,a,2398,a(flip),b,2840,a),flip(a)]. 2855 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2841(a,1),46(a,1)),flip(a)]. 2856 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2841(a,1),105(a,2,1))]. 2857 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(303,a,2845,a),flip(a)]. 2858 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2845(a,1),46(a,1)),flip(a)]. 2859 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2845(a,1),2449(a,1)),flip(a)]. 2860 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2649(a,1),2845(a,1,2))]. 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2654(a,1),2845(a,1,2))]. 2862 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2847(a,1),46(a,1)),flip(a)]. 2863 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2847(a,1),2411(a,1)),flip(a)]. 2864 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(66,a,2640,a,b,2851,a)]. 2865 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2854(a,1),113(a,2,1))]. 2866 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2854(a,1),2647(a,1,1)),flip(a)]. 2867 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2857(a,1),2317(a,1,2,1))]. 2868 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2268,a,2835,a)]. 2869 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(285,a,1960,a(flip),b,2835,a),flip(a)]. 2870 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2835(a,2),1961(a,1))]. 2871 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2836(a,1),2703(a,1,1,1))]. 2872 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2838(a,1),469(a,1,1))]. 2873 K(x / (y * x),y) = K(y \ 1,y). [hyper(38,a,2018,a,b,2848,a)]. 2874 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(66,a,2546,a,b,2873,a)]. 2875 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(17(a,1),2873(a,1,1,2)),flip(a)]. 2877 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(16(a,1),2875(a,2,1))]. 2878 L(x,K(x,x \ 1),y) = x. [hyper(445,a,2844,a)]. 2879 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2878(a,1,2))]. 2880 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2879(a,1),2529(a,1,1)),flip(a)]. 2883 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2874(a,1),1888(a,1,1))]. 2884 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(285,a,2543,a(flip),b,2877,a),flip(a)]. 2886 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2884(a,1),1958(a,1,1))]. 2887 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2405,a,2886,a)]. 2888 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2886,a),flip(a)]. 2889 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(123,a,2886,a(flip),b,1999,a(flip))]. 2890 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(242(a,1),2886(a,1,2))]. 2892 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2887,a),flip(a)]. 2893 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(303,a,2888,a),flip(a)]. 2894 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(66,a,2857,a,b,2888,a)]. 2895 K(x * y,(x * y) \ 1) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(96(a,1),2888(a,1,2))]. 2896 R(x,K(x,x \ 1),y) = x. [hyper(1969,a,2889,a)]. 2897 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [para(2889(a,1),269(a,1,1)),flip(a)]. 2899 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2896(a,1,2))]. 2900 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2899(a,1),2299(a,1,1)),flip(a)]. 2901 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(66,a,2256,a(flip),b,2892,a)]. 2903 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(2892(a,1),2623(a,1,2))]. 2905 ((x \ 1) \ 1) * (x \ y) = (y / x) * ((x \ 1) \ 1). [hyper(285,a,2836,a,b,2893,a),flip(a)]. 2906 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(122,a,2845,a(flip),b,2893,a),flip(a)]. 2907 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1995,a(flip),b,2893,a),flip(a)]. 2908 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2858,a,2897,a)]. 2909 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(117(a,1),2897(a,1,2,1))]. 2910 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(90(a,1),2901(a,2,1,1))]. 2911 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2839(a,1),2901(a,1,2)),flip(a)]. 2912 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [para(2838(a,1),2901(a,1,2)),flip(a)]. 2913 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(117(a,2),2906(a,2,1))]. 2914 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2621(a,1),2906(a,1,2,1))]. 2915 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(117(a,1),2908(a,2,1))]. 2916 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2908(a,1),2278(a,1,2))]. 2917 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(324(a,1),2916(a,1,2,1)),flip(a)]. 2918 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(122,a,90,a(flip),b,2909,a)]. 2919 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(642,a,2911,a)]. 2920 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(128,a,2911,a)]. 2921 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(122,a,2911,a(flip),b,2425,a(flip))]. 2922 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2686(a,1),2911(a,1,2))]. 2923 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(124,a,993,a(flip),b,2913,a)]. 2924 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2913(a,1),1790(a,1,2,2))]. 2925 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2409(a,1),2913(a,1,2))]. 2926 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(122,a,2915,a(flip),b,1140,a(flip)),flip(a)]. 2927 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2915(a,1),2697(a,1,1))]. 2929 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [hyper(124,a,2500,a(flip),b,2921,a)]. 2930 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(90(a,1),2926(a,2,2,1,1))]. 2932 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(87(a,1),2922(a,2,2))]. 2933 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(66,a,2848,a(flip),b,2883,a)]. 2934 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(205(a,2),2933(a,2,1,1)),flip(a)]. 2935 ((((x * y) / (R(z,x,y) * (x * y))) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2933(a,1),485(a,1,1))]. 2938 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1947(a,1),2910(a,1,2,2))]. 2939 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2265,a,2938,a)]. 2940 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(285,a,2407,a,b,2938,a)]. 2941 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(122,a,15,a(flip),b,2938,a),flip(a)]. 2942 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(66,a,2425,a,b,2938,a)]. 2944 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2648(a,1),2938(a,1,2))]. 2945 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2842(a,1),2938(a,1,2)),flip(a)]. 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2854(a,1),2938(a,1,2)),flip(a)]. 2947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2939,a)]. 2948 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2416,a,2939,a)]. 2949 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(513,a,2939,a),flip(a)]. 2950 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(38,a,2842,a,b,2939,a)]. 2951 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(38,a,2423,a,b,2939,a),flip(a)]. 2953 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(123,a,2939,a(flip),b,2409,a)]. 2954 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2939(a,1),2431(a,1,2)),flip(a)]. 2955 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2939(a,1),2411(a,2)),flip(b)]. 2956 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2939(a,1),2689(a,1,1))]. 2957 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2951,a)]. 2958 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(303,a,2951,a),flip(a)]. 2959 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(135,a,2951,a)]. 2960 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(128,a,2951,a)]. 2961 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(66,a,1082,a(flip),b,2951,a),flip(a)]. 2962 L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y. [para(17(a,1),2951(a,1,2)),flip(a)]. 2963 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(116(a,1),2951(a,1,2)),flip(a)]. 2964 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(242(a,1),2951(a,1,2)),flip(a)]. 2965 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(2951(a,1),204(a,1,1))]. 2966 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2951(a,1),273(a,1,1))]. 2967 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(1000(a,1),2951(a,1,2)),flip(a)]. 2968 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1246(a,1),2951(a,1,2)),flip(a)]. 2969 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(87(a,1),2957(a,1,3)),flip(a)]. 2970 L(x,1 / y,K(y \ 1,y)) = x. [hyper(2027,a,2958,a),flip(a)]. 2971 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2958(a,1),585(a,1,2))]. 2972 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2958(a,1),1830(a,2,1,2))]. 2973 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2970(a,1,3))]. 2974 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2973(a,1),2098(a,1,2)),flip(a)]. 2975 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2941,a)]. 2976 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(2416,a,2941,a)]. 2977 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(38,a,2842,a,b,2941,a)]. 2979 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2941(a,1),2647(a,1,1))]. 2980 K(x \ 1,x) * K(y \ (x \ 1),y) = (1 / x) \ ((y \ (x \ 1)) * y). [hyper(122,a,271,a(flip),b,2942,a),flip(a)]. 2982 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(285,a,1505,a(flip),b,2946,a),flip(a)]. 2983 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(552,a,2947,a)]. 2984 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(303,a,2947,a),flip(a)]. 2987 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2947(a,1),304(a,1,2)),flip(b)]. 2988 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2947(a,1),178(a,1,1,2))]. 2989 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2947(a,1),447(a,1,2,2))]. 2990 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(552,a,2948,a)]. 2991 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(303,a,2948,a),flip(a)]. 2992 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2948(a,1),25(a,2,2)),flip(a)]. 2993 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2948(a,1),501(a,1,1))]. 2994 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2948(a,1),442(a,1,1))]. 2995 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2948(a,1),2919(a,1,2))]. 2996 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1364(a,1),2953(a,1,2))]. 2997 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2859,a,2974,a)]. 2998 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2858,a,2974,a)]. 2999 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),2974(a,1,2))]. 3000 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2974(a,1),2866(a,1,1)),flip(a)]. 3001 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(122,a,2975,a(flip),b,2893,a)]. 3002 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1130(a,1),2975(a,1,2))]. 3003 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2381(a,1),2976(a,2,1))]. 3004 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(285,a,2325,a(flip),b,2983,a),flip(a)]. 3005 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [hyper(124,a,1181,a(flip),b,2990,a),flip(a)]. 3006 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2990(a,1),1418(a,1,2,2,1,2))]. 3007 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2618(a,1),2997(a,1,2))]. 3008 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(303,a,2998,a),flip(a)]. 3009 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(66,a,1453,a(flip),b,2998,a)]. 3010 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(123,a,2998,a(flip),b,1453,a(flip))]. 3012 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(285,a,2846,a(flip),b,3008,a),flip(a)]. 3013 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(122,a,15,a(flip),b,3009,a),flip(a)]. 3014 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(66,a,2425,a(flip),b,3009,a)]. 3015 R(x,K(x \ 1,x),y) = x. [hyper(1885,a,3010,a)]. 3017 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3015(a,1),471(a,1,1,1)),flip(a)]. 3018 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3013(a,1),2697(a,1,1)),flip(a)]. 3019 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2758(a,1),3013(a,1,2))]. 3020 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [hyper(285,a,2997,a,b,3014,a)]. 3021 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(285,a,2407,a,b,2944,a)]. 3022 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2203,a,2956,a),flip(a)]. 3023 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3000(a,1,1)),flip(a)]. 3024 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2379(a,2),3001(a,1,1))]. 3025 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(17(a,1),3012(a,1,2,2))]. 3026 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(27(a,2),3012(a,1,2))]. 3027 T(x,1 / (1 / y)) = T(x,y). [hyper(376,a,3026,a),flip(a)]. 3028 T(x,1 / y) = T(x,y \ 1). [para(87(a,1),3027(a,1,2,2))]. 3029 T(x,(y \ 1) \ 1) = T(x,y). [para(181(a,1),3027(a,1,2)),flip(a)]. 3031 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(66,a,725,a(flip),b,3028,a),flip(a)]. 3032 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(124,a,3028,a(flip),b,27,a(flip))]. 3033 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3028(a,1),923(a,2,1))]. 3034 T(x,T(y,y \ 1)) = T(x,y). [para(117(a,2),3029(a,1,2))]. 3035 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1899(a,2),3029(a,1,2))]. 3036 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2379(a,2),3029(a,1,2))]. 3037 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2383(a,1),3029(a,1,2)),flip(a)]. 3038 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2484(a,2),3029(a,1,2))]. 3041 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2934(a,1),3029(a,1,2)),flip(a)]. 3044 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(124,a,3034,a(flip),b,27,a(flip))]. 3045 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3034(a,1),614(a,1,2))]. 3046 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(78(a,2),3032(a,2,2))]. 3048 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3044(a,1),2565(a,2,1))]. 3049 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3045(a,2),543(a,2,1))]. 3050 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2984(a,1),3031(a,1,1,1))]. 3051 R(x,y,K(x \ 1,x)) = x. [hyper(475,a,3020,a)]. 3052 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1904(a,1),3051(a,1,3))]. 3053 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(3052(a,1),36(a,1,1)),flip(a)]. 3054 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(87(a,1),3033(a,1,1,2)),flip(a)]. 3055 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2874(a,1),2918(a,1,1))]. 3057 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2964(a,2),1827(a,1,1))]. 3058 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2933(a,2),3055(a,2,1)),flip(a)]. 3059 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(285,a,2894,a(flip),b,3058,a),flip(a)]. 3060 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(555,a,3059,a)]. 3061 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(285,a,281,a,b,3059,a),flip(a)]. 3062 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(185,a,3059,a),flip(a)]. 3063 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(90(a,1),3059(a,1,1,1))]. 3064 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(185,a,3061,a)]. 3065 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3062(a,2),118(a,1,1))]. 3066 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3060(a,2),3041(a,2,2)),flip(a)]. 3067 R(x,1 / x,y) \ y = (x \ 1) * y. [para(90(a,1),3063(a,2,1,1))]. 3068 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(555,a,3067,a),flip(a)]. 3069 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3068(a,1),1886(a,1,1))]. 3070 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(66,a,1886,a(flip),b,3069,a),flip(a)]. 3071 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(66,a,368,a(flip),b,3070,a),flip(a)]. 3072 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3071(a,2),99(a,1,2,2))]. 3073 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2395(a,1),2833(a,1,2))]. 3074 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(285,a,2382,a(flip),b,3073,a),flip(a)]. 3075 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(37,a,2929,a,b,2932,a),flip(a)]. 3077 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(66,a,2869,a(flip),b,3002,a),flip(a)]. 3078 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3077,a),flip(a)]. 3079 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3078(a,1),2811(a,1,1))]. 3080 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2907(a,1),3004(a,1,2))]. 3081 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2495(a,1),3007(a,1,2))]. 3082 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(445,a,3017,a)]. 3083 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2748(a,1),3019(a,1,2))]. 3084 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(66,a,2948,a(flip),b,3083,a)]. 3085 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3084(a,1),2763(a,1,1))]. 3086 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(99(a,2),3085(a,1,1,2))]. 3087 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(3002(a,1),2870(a,1))]. 3088 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(285,a,2995,a(flip),b,2890,a),flip(a)]. 3089 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1918,a,3088,a)]. 3090 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(87(a,1),3089(a,1,2)),flip(a)]. 3091 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(539,a,3090,a),flip(a)]. 3092 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(3090(a,1),2589(a,1,2))]. 3093 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2921(a,1),3091(a,1,1))]. 3094 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2949(a,2),3093(a,1,1))]. 3095 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2967(a,1),2972(a,1,2))]. 3096 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(13(a,1),3095(a,2,1,2))]. 3097 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1903(a,2),3096(a,2,1))]. 3098 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(122,a,2394,a(flip),b,3097,a)]. 3099 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2868(a,1),3050(a,1,1))]. 3100 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,32,a,b,3065,a)]. 3101 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2903(a,1),3100(a,1,1))]. 3102 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,980,a(flip),b,3101,a)]. 3103 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(90(a,1),3102(a,2,1,1,1))]. 3104 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(117(a,2),3102(a,2,1,1)),flip(a)]. 3105 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(285,a,2940,a,b,2880,a)]. 3107 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1906(a,1),3081(a,1,2))]. 3108 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3105(a,2),2678(a,1,2))]. 3109 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2271(a,1),2993(a,1,2))]. 3110 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3109(a,1),1397(a,2,2,1,2)),flip(a)]. 3112 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3021(a,1),3108(a,1,2))]. 3113 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2835(a,1),2867(a,1,2,1))]. 3114 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2416,a,2871,a)]. 3115 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(285,a,464,a,b,3023,a)]. 3116 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3112(a,1),3086(a,1,1,2))]. 3117 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(66,a,3085,a(flip),b,3116,a),flip(a)]. 3118 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(16(a,1),3117(a,1,2)),flip(a)]. 3119 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1233(a,1),3118(a,1,2))]. 3120 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2864(a,1),3119(a,1,2))]. 3121 K(x \ 1,K(x \ 1,x) * y) = K(x \ 1,y). [para(2839(a,1),3120(a,1,2)),flip(a)]. 3122 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2892(a,1),3120(a,1,2))]. 3124 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2968(a,1),3092(a,1,2))]. 3125 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(87(a,1),3124(a,2,1,2,2))]. 3127 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1903(a,2),3125(a,2,1))]. 3128 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2665(a,1),3107(a,2,1))]. 3129 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3128(a,1),2730(a,1,1))]. 3130 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2398(a,1),3114(a,1,2,1))]. 3131 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(207(a,1),3048(a,2,1))]. 3132 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(285,a,348,a(flip),b,3131,a),flip(a)]. 3135 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [hyper(124,a,3132,a(flip),b,97,a),flip(a)]. 3136 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(285,a,13,a(flip),b,3135,a),flip(a)]. 3137 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3136(a,1),294(a,1,1)),flip(b)]. 3138 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3137,a,2574,a)]. 3139 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(122,a,3138,a(flip),b,2195,a)]. 3140 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(90(a,1),3138(a,1,2))]. 3141 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1086(a,1),3140(a,1,1))]. 3142 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1635(a,1),3141(a,1,1)),flip(a)]. 3143 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(883(a,1),3129(a,2,1,2))]. 3144 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(66,a,2924,a(flip),b,2923,a)]. 3145 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1904(a,1),3003(a,1,1))]. 3147 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(901(a,1),2996(a,1,2,1))]. 3148 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(3006(a,1),3147(a,1,1))]. 3149 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(136,a,3148,a)]. 3150 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3149(a,1),2329(a,1,2))]. 3151 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(305,a,3150,a),flip(a)]. 3152 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2786,a,3151,a),flip(a)]. 3155 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [hyper(66,a,2395,a,b,3152,a)]. 3156 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3152(a,1),3074(a,1,2))]. 3157 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(37,a,2892,a,b,3156,a),flip(a)]. 3158 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(66,a,3155,a,b,3157,a)]. 3163 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(122,a,3158,a(flip),b,1903,a(flip))]. 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3158(a,1),3145(a,1,1))]. 3165 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1908,a,3163,a)]. 3166 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(66,a,2399,a(flip),b,3163,a)]. 3167 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(122,a,3163,a(flip),b,3098,a(flip))]. 3168 (T(x,y) \ x) \ x = T(x,y). [hyper(2357,a,3166,a)]. 3169 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(136,a,3166,a)]. 3170 x / T(x,y) = T(x,y) \ x. [hyper(185,a,3168,a)]. 3171 (T(x,y) \ x) * T(x,y) = x. [hyper(138,a,3168,a)]. 3175 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(66,a,1717,a,b,3170,a)]. 3176 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3170(a,1),1779(a,1,1))]. 3177 L(x,T(x,y) \ x,x) = x. [hyper(66,a,2129,a,b,3171,a)]. 3179 (x * y) * T(K(y,x),x) = y * x. [para(3177(a,1),2128(a,1,2)),flip(a)]. 3180 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(224,a,3169,a,b,1000,a)]. 3183 T(K(x,y),y) = K(x,y). [hyper(275,a,3179,a),flip(a)]. 3184 (x * K(y,x)) / x = K(y,x). [hyper(254,a,3183,a)]. 3185 T(x,K(y,x)) = x. [hyper(57,a,3183,a)]. 3186 K(x,y) * y = y * K(x,y). [hyper(124,a,3183,a(flip),b,27,a(flip)),flip(a)]. 3188 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3183(a,1),222(a,1,2,1)),flip(a)]. 3189 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3183(a,1),679(a,1,2,1))]. 3190 T(x,K(y,R(x,z,u))) = x. [hyper(148,a,3185,a)]. 3191 T(T(x,y),K(z,x)) = T(x,y). [para(3185(a,1),28(a,1,1)),flip(a)]. 3193 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3185(a,1),221(a,1,2,1)),flip(a)]. 3194 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3185(a,1),222(a,1,2,1)),flip(a)]. 3195 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3185(a,1),223(a,1,2,1)),flip(a)]. 3196 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3185(a,1),383(a,1,2,1))]. 3199 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3185(a,1),415(a,1,2,1,1)),flip(a)]. 3200 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3185(a,1),591(a,1,2,1,1)),flip(a)]. 3201 T(x,y * T(y \ 1,x)) = x. [para(1110(a,1),3185(a,1,2))]. 3202 T(x,y \ T(y,x)) = x. [para(1114(a,1),3185(a,1,2))]. 3203 T(x,x \ ((y * x) / y)) = x. [para(1285(a,1),3185(a,1,2))]. 3204 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3185(a,1),2282(a,1,1,1)),flip(a)]. 3205 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3185(a,1),2333(a,1,2,1)),flip(a)]. 3206 (x \ T(x,y)) * y = y * (x \ T(x,y)). [hyper(124,a,3202,a(flip),b,27,a(flip))]. 3207 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3190(a,1),28(a,1,1)),flip(a)]. 3208 L(K(x,y),y,1 / y) = K(x,y). [hyper(66,a,2209,a,b,3184,a)]. 3209 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(66,a,1185,a,b,3184,a)]. 3210 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3184(a,1),489(a,1,1)),flip(a)]. 3211 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3184(a,1),837(a,1,1,1)),flip(a)]. 3212 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [hyper(124,a,3186,a(flip),b,176,a)]. 3213 T(K(x,y),T(y,z)) = K(x,y). [hyper(57,a,3191,a)]. 3214 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3191(a,1),383(a,1,2,1))]. 3215 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(57,a,3201,a)]. 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3203(a,1),249(a,1,2))]. 3217 K(K(x,y),T(y,z)) = 1. [hyper(58,a,3213,a)]. 3219 K(x \ T(x,y),T(y,z)) = 1. [para(1114(a,1),3217(a,1,1))]. 3220 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(59,a,3219,a)]. 3221 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(123,a,3208,a(flip),b,244,a)]. 3222 (1 / x) \ K(y,x) = x * K(y,x). [hyper(122,a,3208,a(flip),b,244,a)]. 3223 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(66,a,2434,a,b,3180,a)]. 3224 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(39,a,172,a,b,3221,a),flip(a)]. 3226 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3165(a,1),3080(a,1,2))]. 3227 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3176(a,1),105(a,2,1)),flip(a)]. 3228 x * (((y * x) / y) / x) = (y * x) / y. [hyper(124,a,3216,a,b,xx)]. 3230 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(1328,a,3216,a(flip))]. 3231 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(795(a,1),3216(a,1,1)),flip(a)]. 3232 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(136,a,3223,a)]. 3235 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(339,a,3232,a)]. 3237 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3232(a,1),1100(a,1,2))]. 3238 K(T(x \ 1,y) \ 1,T(x \ 1,y)) = K(x,x \ 1). [hyper(285,a,2621,a(flip),b,3235,a),flip(a)]. 3239 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(66,a,2790,a(flip),b,3235,a),flip(a)]. 3240 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3235(a,1),2386(a,1,2))]. 3241 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3235(a,1),2690(a,2,2))]. 3242 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3235(a,1),2731(a,2,2))]. 3243 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3235(a,1),3082(a,1,2))]. 3244 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3243(a,1),2563(a,1,2)),flip(a)]. 3245 T(x,L(K(y,x),z,u)) = x. [hyper(225,a,3188,a)]. 3246 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(225,a,3194,a)]. 3247 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(3246(a,1),219(a,1,1,2))]. 3248 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3195(a,1),46(a,1)),flip(a)]. 3249 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3195(a,2),444(a,1,1,2))]. 3250 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3215(a,1),1392(a,1,2)),flip(a)]. 3251 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(66,a,3167,a(flip),b,3226,a),flip(a)]. 3252 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(66,a,2325,a,b,3251,a)]. 3253 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(124,a,3251,a(flip),b,2325,a)]. 3254 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(32(a,2),3251(a,1,1,2))]. 3255 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3251(a,1),82(a,1,2,2))]. 3256 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(118(a,1),3251(a,1,1,2)),flip(a)]. 3257 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1547(a,1),3251(a,1,1,2)),flip(a)]. 3258 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(262,a,3255,a)]. 3259 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [hyper(124,a,3237,a,b,1008,a)]. 3261 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(66,a,2884,a(flip),b,3239,a),flip(a)]. 3262 K(x / y,y / x) = K(y \ x,x \ y). [hyper(66,a,2875,a(flip),b,3239,a)]. 3263 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(66,a,2545,a,b,3262,a)]. 3264 x * (T(x,y) / x) = T(x,y). [hyper(38,a,2114,a,b,3240,a)]. 3266 T(x,y) / x = x \ T(x,y). [hyper(128,a,3264,a),flip(a)]. 3267 (x \ T(x,y)) * x = T(x,y). [para(3264(a,1),91(a,1,1,2))]. 3268 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(910,a,3266,a),flip(a)]. 3269 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(902,a,3266,a)]. 3270 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(66,a,1500,a(flip),b,3266,a),flip(a)]. 3271 T(x,x \ T(x,y)) = x. [hyper(39,a,249,a,b,3266,a)]. 3272 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3266(a,1),113(a,1,1))]. 3273 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3266(a,1),489(a,1,1))]. 3274 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3266(a,1),2038(a,1,1))]. 3275 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3266(a,1),2212(a,1,1,2))]. 3276 K(x,x \ T(x,y)) = 1. [hyper(58,a,3271,a)]. 3277 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3271(a,1),221(a,1,2,1)),flip(a)]. 3278 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1114(a,2),3271(a,1,2))]. 3279 K(x,T(x,y) / x) = 1. [para(3266(a,2),3276(a,1,2))]. 3280 T(1 / x,T(x,y)) = x \ 1. [hyper(122,a,3279,a(flip),b,1068,a),flip(a)]. 3281 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(66,a,1519,a,b,3267,a)]. 3282 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3267(a,1),23(a,2,1)),flip(a)]. 3283 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3267(a,1),103(a,1,1))]. 3284 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3267(a,1),479(a,1,1,1))]. 3285 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1114(a,2),3267(a,1,1)),flip(a)]. 3286 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(66,a,1503,a(flip),b,3280,a)]. 3287 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(87(a,1),3280(a,1,1))]. 3288 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3280(a,1),231(a,1,1)),flip(a)]. 3289 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3280(a,1),370(a,2,1))]. 3290 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3280(a,1),1116(a,1,1)),flip(a)]. 3291 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1138,a,3278,a)]. 3292 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(124,a,3278,a(flip),b,1137,a(flip))]. 3293 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(285,a,117,a,b,3287,a),flip(a)]. 3295 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3288(a,1),1396(a,1,1,2)),flip(a)]. 3297 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(66,a,3037,a,b,3293,a)]. 3300 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3297(a,1),2154(a,1,1))]. 3302 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3285(a,2),583(a,1,2,2))]. 3304 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1150(a,1),3291(a,1,1,1,1))]. 3305 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2971(a,1),3292(a,1,1,1,1))]. 3306 T(x,x / (y * x)) = T(x,x / (x * y)). [para(205(a,1),3281(a,1,2))]. 3308 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(209(a,1),3286(a,1,3,2))]. 3309 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3261(a,1),2614(a,1,2))]. 3310 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(3261(a,1),2628(a,1,1)),flip(a)]. 3311 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3263(a,1),1888(a,1,1))]. 3312 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3263(a,2),2622(a,1,2))]. 3314 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3268(a,1),698(a,2,1)),flip(a)]. 3315 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3268(a,1),3251(a,1,1))]. 3316 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3266(a,1),3274(a,2,2))]. 3318 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3288(a,1),3290(a,1,2)),flip(a)]. 3319 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(285,a,325,a(flip),b,3318,a),flip(a)]. 3322 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3319(a,1),946(a,1,1,2))]. 3323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(136,a,3316,a)]. 3324 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),3270(a,2,2,1))]. 3325 T(x,y \ ((x * y) / x)) = x. [para(3270(a,1),3271(a,1,2))]. 3326 T(x,T(y,x) \ y) = x. [para(209(a,1),3325(a,1,2,2))]. 3327 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(57,a,3326,a)]. 3328 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(124,a,3326,a(flip),b,27,a(flip))]. 3330 K(K(x,y),T(z,y) \ z) = 1. [para(3327(a,1),2224(a,1,2))]. 3331 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1114(a,1),3330(a,1,1))]. 3332 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(3331(a,1),2503(a,1,2)),flip(a)]. 3333 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3331(a,1),2620(a,1,2))]. 3334 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(66,a,1502,a,b,3328,a)]. 3335 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3328(a,1),1796(a,1,1,2,1))]. 3336 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(285,a,3251,a(flip),b,3332,a),flip(a)]. 3337 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3270(a,1),3336(a,1,2)),flip(a)]. 3338 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3333(a,1),2377(a,1,2,1))]. 3339 K(1 / x,y) = K(x \ 1,y). [hyper(66,a,2677,a(flip),b,3314,a)]. 3340 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(66,a,929,a(flip),b,3339,a),flip(a)]. 3341 K((x \ 1) \ 1,y) = K(x,y). [para(87(a,1),3339(a,1,1)),flip(a)]. 3342 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2769,a,3341,a)]. 3343 T(K(x,y),x) = K(x,y). [hyper(66,a,2746,a,b,3341,a)]. 3344 K(T(x,x \ 1),y) = K(x,y). [para(117(a,2),3341(a,1,1))]. 3345 K(T((x \ 1) \ 1,y),z) = K(T(x,y),z). [para(2379(a,2),3341(a,1,1))]. 3346 K(T(x \ y,y \ x),z) = K(x \ y,z). [para(2484(a,2),3341(a,1,1))]. 3347 K(x,y) * x = x * K(x,y). [para(3341(a,1),2747(a,1,2)),flip(a)]. 3348 T(x,K(x,y)) = x. [hyper(57,a,3343,a)]. 3349 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3343(a,1),221(a,1,2,1)),flip(a)]. 3350 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3343(a,1),222(a,1,2,1)),flip(a)]. 3351 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3343(a,1),223(a,1,2,1)),flip(a)]. 3352 K(x,K(x,y)) = 1. [hyper(58,a,3348,a)]. 3353 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3348(a,1),221(a,1,2,1)),flip(a)]. 3354 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3348(a,1),222(a,1,2,1)),flip(a)]. 3355 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3348(a,1),223(a,1,2,1)),flip(a)]. 3356 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3348(a,1),425(a,1,1,2)),flip(a)]. 3359 T(K(x,y),T(x,z)) = K(x,y). [hyper(225,a,3353,a)]. 3362 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3359(a,1),263(a,1,2))]. 3363 T(K(x,y),(z * x) / z) = K(x,y). [hyper(57,a,3356,a)]. 3364 T(K(x \ y,z),y / x) = K(x \ y,z). [para(15(a,1),3363(a,1,2,1))]. 3365 T(K(x \ y,z),u) * (y / x) = (y / x) * T(K(x \ y,z),u). [para(3364(a,1),221(a,1,2,1)),flip(a)]. 3366 T(x,L(K(x,y),z,u)) = x. [hyper(225,a,3350,a)]. 3367 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3350(a,1),1913(a,2,1))]. 3368 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(761,a,3351,a),flip(a)]. 3369 T(x,R(K(x,y),z,u)) = x. [hyper(225,a,3351,a)]. 3370 K(x,R(K(x,y),z,u)) = 1. [hyper(58,a,3369,a)]. 3371 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(225,a,3355,a)]. 3372 R(x,y,z) * K(x,u) != w | K(x,u) * R(x,y,z) = w. [para(3371(a,1),263(a,1,2))]. 3373 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3175(a,1),2105(a,1,2))]. 3374 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3175(a,1),2716(a,1,1,2)),flip(a)]. 3375 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(57,a,3373,a)]. 3376 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [hyper(124,a,3373,a(flip),b,27,a(flip))]. 3378 (K(x,y) \ y) * K(x,y) = y. [hyper(37,a,96,a(flip),b,3204,a),flip(a)]. 3379 x / K(y,x) = K(y,x) \ x. [hyper(135,a,3378,a)]. 3380 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3378(a,1),25(a,2,1,1))]. 3383 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3205(a,1),2817(a,2,1))]. 3384 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(118(a,1),3256(a,1,1)),flip(a)]. 3385 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(14(a,1),3384(a,1,1,2)),flip(a)]. 3386 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(66,a,3020,a,b,3259,a)]. 3387 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1067,a,3277,a),flip(a)]. 3388 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,281,a(flip),b,3300,a)]. 3390 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(589(a,1),3311(a,1,1,2))]. 3391 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1262(a,1),3315(a,1,1)),flip(a)]. 3392 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1281(a,2),3315(a,1,1)),flip(a)]. 3393 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(285,a,3253,a(flip),b,3376,a),flip(a)]. 3394 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3386(a,1),2938(a,1,2)),flip(a)]. 3395 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3387(a,2),995(a,1,2))]. 3396 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3388(a,1),23(a,2,1)),flip(a)]. 3397 R(x,x \ T(x,y),T(x,z)) = x. [hyper(700,a,3395,a)]. 3398 L(x,x \ T(x,y),x) = x. [para(3397(a,1),1059(a,1,1))]. 3399 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(60,a,3200,a)]. 3401 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(117(a,1),3241(a,1,2,1))]. 3404 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(128,a,3310,a)]. 3405 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(14(a,1),3385(a,1,1)),flip(a)]. 3406 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(185,a,3405,a)]. 3407 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(66,a,3337,a,b,3406,a)]. 3408 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(122,a,3407,a(flip),b,1000,a),flip(a)]. 3409 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(209(a,1),3407(a,2,1))]. 3410 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3408(a,1),2392(a,1,2))]. 3411 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(209(a,1),3410(a,1,2,2,1))]. 3412 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1267(a,1),3411(a,1,2,2,2))]. 3413 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(123,a,3409,a(flip),b,3169,a),flip(a)]. 3414 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3334(a,1),3409(a,1,1))]. 3415 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(185,a,3414,a)]. 3416 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1267(a,1),3415(a,1,2,2))]. 3417 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3394(a,1),2185(a,1,1)),flip(a)]. 3418 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(136,a,3401,a)]. 3419 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(3404(a,1),2014(a,1,1))]. 3420 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [hyper(124,a,3419,a(flip),b,27,a(flip)),flip(a)]. 3421 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(3419(a,1),2378(a,1,1)),flip(a)]. 3422 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(180,a,3421,a),flip(a)]. 3423 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(66,a,3103,a(flip),b,3422,a),flip(a)]. 3424 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3309(a,2),3420(a,1,1))]. 3425 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2951(a,1),3423(a,1,1,1,1))]. 3426 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3423(a,1),3341(a,1,1)),flip(a)]. 3427 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(224,a,3424,a(flip),b,2832,a(flip))]. 3429 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(17(a,1),3427(a,1,2,1))]. 3430 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3429(a,1),2719(a,1,1)),flip(a)]. 3431 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(14(a,1),3257(a,2,1))]. 3433 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3282(a,1),1021(a,1,2)),flip(a)]. 3434 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(15(a,1),3433(a,1,1)),flip(a)]. 3435 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3433(a,2),46(a,1))]. 3436 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(66,a,1827,a,b,3283,a)]. 3437 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3334(a,1),3413(a,1,2))]. 3438 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3268(a,1),3437(a,2,1))]. 3439 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3266(a,1),3275(a,2,2,1,2))]. 3440 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(285,a,3328,a(flip),b,3335,a),flip(a)]. 3441 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3028(a,1),3340(a,2,1,1))]. 3443 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3414(a,1),3440(a,1,1,2))]. 3444 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(37,a,3439,a(flip),b,3443,a(flip))]. 3446 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3444(a,1),241(a,1,2))]. 3447 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3273(a,2,1))]. 3448 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3169(a,1),3417(a,1,1)),flip(a)]. 3449 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(90(a,1),3164(a,1,2,1))]. 3451 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2405,a,3449,a)]. 3453 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1906(a,1),3451(a,1,2))]. 3454 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(32(a,2),3254(a,2,1))]. 3455 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),3295(a,1,1))]. 3456 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(116(a,1),3455(a,2,1))]. 3457 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(285,a,2415,a(flip),b,3456,a),flip(a)]. 3459 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3457(a,1),1350(a,1,1)),flip(a)]. 3460 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(285,a,3223,a(flip),b,3459,a),flip(a)]. 3462 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3460(a,1),3457(a,1,1))]. 3464 K(T(x / y,z) \ 1,T(x / y,u)) = K(x \ y,y \ x). [hyper(285,a,3239,a(flip),b,3462,a),flip(a)]. 3470 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3392(a,1),3308(a,1,3))]. 3471 T(x,K(y,x) \ 1) = x. [para(3392(a,1),3326(a,1,2))]. 3472 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [hyper(124,a,3471,a(flip),b,27,a(flip))]. 3474 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3472(a,1),203(a,2,1)),flip(a)]. 3475 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(285,a,3470,a(flip),b,3474,a),flip(a)]. 3477 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3399(a,1),126(a,1))]. 3478 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(87(a,1),3453(a,2,1,1,2))]. 3480 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2416,a,3478,a)]. 3481 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(14(a,1),3480(a,1,2)),flip(a)]. 3482 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [hyper(124,a,2976,a(flip),b,3481,a)]. 3483 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [hyper(124,a,3482,a(flip),b,993,a)]. 3484 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2983(a,1),3482(a,1,2)),flip(a)]. 3485 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1944(a,1),3454(a,1,1)),flip(a)]. 3486 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1375(a,1),3244(a,1,1))]. 3487 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(243(a,2),3486(a,1,2,1))]. 3488 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(66,a,3144,a(flip),b,3487,a)]. 3489 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3488(a,1),2919(a,1,2))]. 3490 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3446,a,3258,a),flip(a)]. 3491 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1267(a,1),3490(a,1,2,2))]. 3492 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(116(a,2),3368(a,2,1,1,1))]. 3493 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3342(a,1),3412(a,1,2,2))]. 3494 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3493(a,1),249(a,1,2))]. 3495 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3494(a,1),2692(a,1,1)),flip(a)]. 3496 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3494(a,1),2837(a,1,1))]. 3497 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(124,a,3496,a(flip),b,2253,a),flip(a)]. 3498 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(3497(a,1),2945(a,1,2))]. 3499 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(66,a,2187,a(flip),b,3498,a)]. 3500 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3267(a,1),3489(a,1,2,1))]. 3501 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(117(a,1),3500(a,2,2,1,1))]. 3502 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2914(a,1),3484(a,1,2))]. 3503 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(117(a,2),3502(a,1,2,1))]. 3504 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(34(a,1),3367(a,1,1))]. 3505 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(285,a,3448,a(flip),b,3374,a),flip(a)]. 3506 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3175(a,1),3505(a,1,1))]. 3507 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(795(a,1),3231(a,1,2)),flip(a)]. 3508 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(66,a,1943,a(flip),b,3507,a),flip(a)]. 3510 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3434(a,1),3436(a,1,1))]. 3511 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(66,a,232,a(flip),b,3510,a)]. 3512 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(14(a,1),3511(a,1,1)),flip(a)]. 3513 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(122,a,3398,a(flip),b,3512,a)]. 3514 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1547(a,1),3513(a,1,1,2)),flip(a)]. 3515 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3270(a,1),3513(a,1,1)),flip(a)]. 3516 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3407(a,1),3515(a,1,2)),flip(a)]. 3517 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(209(a,1),3516(a,1,1,2)),flip(a)]. 3518 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(209(a,1),3517(a,1,2,1)),flip(a)]. 3519 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(14(a,1),3514(a,2,1))]. 3521 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3431(a,1),3519(a,1,2))]. 3522 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(128,a,3521,a)]. 3523 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),3304(a,2,1))]. 3524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(2815(a,1),3523(a,1,1))]. 3525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(122,a,3524,a(flip),b,3521,a)]. 3526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3525,a),flip(a)]. 3527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(42,a,2510,a,b,3526,a)]. 3529 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2838(a,1),2872(a,1,2)),flip(a)]. 3530 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(285,a,25,a,b,3529,a),flip(a)]. 3531 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3529(a,2),479(a,1))]. 3532 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(66,a,3053,a(flip),b,3530,a),flip(a)]. 3533 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2899(a,1),2900(a,2,2,1,1))]. 3534 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(285,a,3269,a(flip),b,3533,a),flip(a)]. 3536 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3269(a,1),3534(a,1,1))]. 3537 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3536(a,1),3322(a,1,1))]. 3538 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3319(a,1),3537(a,2,1))]. 3540 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2413,a,3538,a)]. 3542 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2948(a,1),2994(a,1,2)),flip(a)]. 3544 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3542(a,2),447(a,1))]. 3545 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(112(a,1),2935(a,1,1,1,1,2))]. 3546 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2452,a,3545,a)]. 3547 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(16(a,1),3305(a,1,1,1))]. 3549 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3547(a,1),47(a,1)),flip(a)]. 3550 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3342(a,1),3491(a,1,2))]. 3551 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3391(a,1),3550(a,1,3))]. 3552 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(14(a,1),3551(a,1,3,1,2,2,1))]. 3553 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(116(a,1),3552(a,1,3,1,2))]. 3554 R(x,K(y,x),K(y,x) \ 1) = x. [para(21(a,2),3553(a,1,3,1))]. 3555 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(122,a,3554,a(flip),b,355,a)]. 3556 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3094(a,1),3057(a,1,1))]. 3557 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3269(a,1),3110(a,2,1))]. 3558 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3066(a,1),3324(a,1,2))]. 3559 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(32(a,2),3558(a,1,2))]. 3560 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1954(a,1),3559(a,1,2,1)),flip(a)]. 3561 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(285,a,1944,a(flip),b,3560,a),flip(a)]. 3563 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(3087,a,3561,a)]. 3564 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3561,a),flip(a)]. 3565 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3564(a,2),3527(a,1,1))]. 3566 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(66,a,3485,a,b,3565,a)]. 3567 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2313,a,3566,a)]. 3568 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(124,a,3567,a(flip),b,3508,a)]. 3569 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3567(a,1),2303(a,2,1,1))]. 3570 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1710(a,2),3563(a,1,2))]. 3571 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3570(a,1),2801(a,1,1)),flip(a)]. 3572 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3564(a,1),3571(a,2,1))]. 3573 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,3079,a(flip),b,3572,a),flip(a)]. 3574 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(37,a,1903,a(flip),b,3573,a),flip(a)]. 3575 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(66,a,3142,a,b,3574,a)]. 3576 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(185,a,3575,a),flip(a)]. 3577 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2381(a,1),3575(a,1,1,1))]. 3578 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(66,a,3568,a,b,3576,a)]. 3579 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(87(a,1),3576(a,1,1,2)),flip(a)]. 3580 R(1 / (1 / (x / (y / z))),y / z,z) = 1 / (1 / ((x * z) / y)). [para(489(a,1),3576(a,2,2,2))]. 3581 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3579(a,1),184(a,1,1,1))]. 3583 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(87(a,1),3581(a,1,1,1,1)),flip(a)]. 3584 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3581(a,1),3341(a,1,1)),flip(a)]. 3585 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(66,a,986,a,b,3583,a)]. 3586 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3583(a,2),2445(a,1,1))]. 3587 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2713(a,1),3583(a,2,1,1))]. 3588 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(87(a,1),3577(a,1,1,1,1,2)),flip(a)]. 3589 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(686(a,1),3577(a,1,1)),flip(a)]. 3590 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(868(a,1),3588(a,2,1))]. 3591 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(37,a,1874,a,b,3578,a)]. 3592 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(397,a,3591,a)]. 3593 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(487(a,1),3591(a,1,1,1)),flip(a)]. 3594 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3591(a,1),1914(a,1,1)),flip(a)]. 3595 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3591(a,1),3569(a,1,1)),flip(a)]. 3596 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3592(a,1),339(a,1))]. 3597 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(66,a,3430,a,b,3587,a)]. 3598 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3597(a,1),2499(a,1,1)),flip(a)]. 3599 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1491(a,1),3590(a,1,2))]. 3600 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(12(a,1),3599(a,1,2,1,2)),flip(a)]. 3601 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(12(a,1),3600(a,1,1,2)),flip(a)]. 3602 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(180,a,3601,a),flip(a)]. 3603 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2930(a,1),3601(a,1,2))]. 3604 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3602(a,2),3029(a,1,2))]. 3605 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(90(a,1),3603(a,1,2,2,1)),flip(a)]. 3606 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(185,a,3605,a)]. 3607 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(124,a,3606,a,b,xx)]. 3609 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(123,a,3607,a(flip),b,2436,a)]. 3610 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(90(a,1),3607(a,1,2,2,2,2)),flip(a)]. 3612 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(87(a,1),3609(a,1,1,1,2)),flip(a)]. 3613 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(285,a,3526,a(flip),b,3594,a),flip(a)]. 3614 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(136,a,3598,a(flip))]. 3615 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / ((x * y) / 1))) / y. [hyper(123,a,3580,a(flip),b,247,a),flip(a)]. 3616 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(445,a,3595,a)]. 3617 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3341(a,1),3616(a,1,3))]. 3618 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3617(a,1),260(a,1,2)),flip(a)]. 3619 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / (x * y))) / y. [para(86(a,1),3615(a,2,1,2,2))]. 3620 (1 / x) * (1 / (1 / ((1 / x) \ y))) = (1 / (1 / (y * x))) / x. [hyper(66,a,2436,a(flip),b,3619,a)]. 3621 x * K(x \ (1 / y),(1 / y) \ x) = (1 / (1 / (x * y))) / y. [hyper(66,a,2627,a,b,3620,a)]. 3622 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(262,a,3586,a),flip(a)]. 3623 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2389(a,1),3622(a,2,1))]. 3624 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(66,a,3546,a(flip),b,3623,a)]. 3625 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3242(a,1),3624(a,2,1))]. 3626 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3592(a,1),3625(a,1,1))]. 3627 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3626(a,1),47(a,1))]. 3628 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3341(a,1),3626(a,1,1))]. 3629 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2621(a,1),3628(a,2,1,2))]. 3630 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3618,a,3629,a)]. 3631 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(38,a,2398,a,b,3630,a),flip(a)]. 3633 L(x,y,K(z,z \ 1)) = x. [para(3631(a,1),3617(a,1,3))]. 3634 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3631(a,1),3629(a,1,1)),flip(a)]. 3635 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1176,a,3633,a),flip(a)]. 3636 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(66,a,2530,a,b,3633,a)]. 3637 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(66,a,105,a(flip),b,3633,a)]. 3638 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(124,a,3633,a(flip),b,2530,a)]. 3639 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3633(a,1),389(a,1,2)),flip(a)]. 3640 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3633(a,1),499(a,1,2))]. 3641 L(x,y,K(z \ 1,z)) = x. [para(1906(a,1),3633(a,1,3))]. 3642 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3633(a,1),1893(a,1,2)),flip(a)]. 3643 L(x,y,K(z \ u,u \ z)) = x. [para(2490(a,1),3633(a,1,3))]. 3645 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3544,a,3641,a),flip(a)]. 3646 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1176,a,3641,a),flip(a)]. 3650 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(66,a,2856,a(flip),b,3641,a),flip(a)]. 3651 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(66,a,2722,a(flip),b,3641,a),flip(a)]. 3652 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(66,a,2525,a(flip),b,3641,a),flip(a)]. 3653 L(x,y,K(z \ 1,z)) != u | u = x. [para(3641(a,1),53(a,1)),flip(a)]. 3654 L(x,y,K(z \ 1,z)) != u | x = u. [para(3641(a,1),53(a,2))]. 3655 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3641(a,1),389(a,1,2)),flip(a)]. 3656 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3641(a,1),499(a,1,2))]. 3657 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3641(a,1),2427(a,1,2))]. 3659 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3641(a,1),3544(a,1))]. 3661 K(x \ y,y \ x) * (1 / z) = K(x \ y,y \ x) / z. [para(3643(a,1),389(a,1,2)),flip(a)]. 3662 (K(x \ y,y \ x) * z) / u = K(x \ y,y \ x) * (z / u). [para(3643(a,1),499(a,1,2))]. 3664 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(66,a,2966,a,b,3645,a)]. 3665 a(1 / x,x / y,y) \ y = L(y,x / y,x \ 1). [hyper(66,a,1674,a,b,3645,a)]. 3666 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(66,a,455,a(flip),b,3645,a),flip(a)]. 3667 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [hyper(124,a,3645,a(flip),b,23,a(flip))]. 3668 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(87(a,1),3645(a,1,3)),flip(a)]. 3669 1 / L(x,y / x,y \ 1) = (1 / y) * (y / x). [para(3645(a,1),707(a,1,2))]. 3671 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(66,a,2725,a,b,3651,a)]. 3675 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2405,a,3639,a)]. 3676 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [hyper(2858,a,3642,a)]. 3677 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2405,a,3642,a)]. 3679 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(315,a,3677,a),flip(a)]. 3680 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(610(a,1),3677(a,1,1)),flip(a)]. 3681 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(180,a,3679,a)]. 3682 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(123,a,3634,a(flip),b,112,a)]. 3684 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2950(a,1),3634(a,1,1)),flip(a)]. 3686 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(475,a,3635,a)]. 3689 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(224,a,3635,a,b,15,a),flip(a)]. 3692 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,2800,a,b,3686,a)]. 3696 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3636(a,1),981(a,1,1)),flip(a)]. 3697 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2659(a,1),3637(a,1,1))]. 3698 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2845(a,1),3637(a,1,2))]. 3699 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2850(a,1),3637(a,1,1)),flip(a)]. 3704 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(2950(a,1),3638(a,1,1)),flip(a)]. 3705 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2398(a,1),3640(a,1,1))]. 3706 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3640(a,1),2865(a,1,1))]. 3708 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),25(a,2,1,1)),flip(a)]. 3709 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(2649(a,1),3646(a,1,1)),flip(a)]. 3710 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2654(a,1),3646(a,1,1)),flip(a)]. 3711 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2915(a,1),3646(a,1,1)),flip(a)]. 3713 K(x \ 1,x) * ((1 / y) * z) = (K(x \ 1,x) / y) * z. [para(3655(a,1),3646(a,1,1)),flip(a)]. 3714 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [hyper(2989,a,3650,a),flip(a)]. 3716 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2950(a,1),3650(a,1,1)),flip(a)]. 3717 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3656(a,1),118(a,1,1))]. 3718 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(860(a,1),3656(a,1,1)),flip(a)]. 3719 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1881(a,1),3656(a,1,1)),flip(a)]. 3720 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2855,a,3718,a)]. 3721 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(249(a,1),3719(a,1,2)),flip(a)]. 3722 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3627,a,3657,a)]. 3724 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),19(a,2,1)),flip(a)]. 3725 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),23(a,2,1)),flip(a)]. 3726 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3657(a,1),23(a,2,2,2)),flip(a)]. 3728 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3657(a,1),2992(a,1,1))]. 3729 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3596,a,3722,a)]. 3730 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(487(a,1),3722(a,1,2)),flip(a)]. 3733 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(13(a,1),3698(a,2,2))]. 3735 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(13(a,1),3699(a,2,2))]. 3736 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(66,a,2402,a(flip),b,3705,a),flip(a)]. 3737 (x * K(y,y \ 1)) / z != K(y,y \ 1) * u | x / z = u. [para(3705(a,2),46(a,1))]. 3739 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(116(a,1),3689(a,1,2,2))]. 3742 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2888(a,1),3697(a,1,2)),flip(a)]. 3743 K(x \ 1,x) * ((x \ 1) * y) = T(x \ 1,x) * y. [para(1899(a,2),3711(a,2,1))]. 3744 ((x \ 1) * y) * K(x \ 1,x) = T(x \ 1,x) * y. [hyper(2412,a,3743,a)]. 3745 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3716(a,1),3557(a,1,2,1)),flip(a)]. 3746 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3005(a,1),3717(a,1,1))]. 3747 (K(x \ y,y \ x) * z) / u != K(x \ y,y \ x) * w | z / u = w. [para(3662(a,2),46(a,1))]. 3748 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(66,a,3640,a(flip),b,3682,a)]. 3749 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),3708(a,1,1))]. 3750 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(66,a,3656,a(flip),b,3749,a)]. 3751 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(25(a,2),3750(a,1,2)),flip(a)]. 3752 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(285,a,3113,a(flip),b,3751,a),flip(a)]. 3753 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2862,a,3751,a(flip))]. 3754 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1872(a,1),3753(a,1,2,1))]. 3755 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3426(a,1),3745(a,2,2))]. 3756 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2702(a,1),3752(a,1,1)),flip(a)]. 3757 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(15(a,1),3756(a,1,1,2,1)),flip(a)]. 3758 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(123,a,3757,a,b,xx)]. 3759 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3757(a,2,1,2))]. 3760 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2713(a,1),3757(a,2,1,2))]. 3761 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(91(a,1),3758(a,1,1,1)),flip(a)]. 3762 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(138,a,3761,a),flip(a)]. 3763 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3762(a,2),2561(a,1,1))]. 3764 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(66,a,3143,a(flip),b,3760,a),flip(a)]. 3765 (x * (y \ T(y,x))) * y = y * x. [para(14(a,1),3764(a,1,1)),flip(a)]. 3766 x * (y \ T(y,x)) = (y * x) / y. [hyper(135,a,3765,a),flip(a)]. 3767 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(123,a,15,a(flip),b,3765,a),flip(a)]. 3768 x \ ((y * x) / y) = y \ T(y,x). [hyper(128,a,3766,a)]. 3769 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(122,a,756,a(flip),b,3766,a)]. 3770 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(122,a,209,a(flip),b,3766,a)]. 3771 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(122,a,153,a(flip),b,3766,a),flip(a)]. 3772 (x \ T(x,y)) * y = (x * y) / x. [hyper(66,a,3206,a,b,3766,a)]. 3773 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(37,a,3230,a,b,3766,a)]. 3774 ((x * y) / x) / y = x \ T(x,y). [hyper(37,a,3228,a,b,3766,a)]. 3775 (T(x,y) \ x) * ((x * y) / x) = y. [hyper(124,a,3766,a(flip),b,3518,a)]. 3776 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3766(a,1),889(a,1,2))]. 3777 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3268(a,1),3766(a,1,2)),flip(a)]. 3778 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3766(a,1),3323(a,1,1))]. 3779 ((x * y) / x) \ y = T(x,y) \ x. [para(3766(a,1),3444(a,1,1))]. 3781 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3770(a,2),3272(a,1,1))]. 3782 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3772(a,1),176(a,1,2,1))]. 3785 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3774(a,1),461(a,1,1,1))]. 3786 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3549,a,3775,a)]. 3787 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(15(a,1),3779(a,1,1,1)),flip(a)]. 3788 T(x,T(y,x)) \ x = y \ T(y,x). [para(209(a,1),3779(a,1,1)),flip(a)]. 3789 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(756(a,1),3779(a,1,1))]. 3790 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3779(a,1),1306(a,1,2,2,1))]. 3791 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(285,a,1114,a,b,3788,a)]. 3793 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3788(a,1),3168(a,1,1))]. 3795 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3268(a,1),3793(a,1,1))]. 3796 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(117(a,1),3767(a,1,2,2))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3778(a,1),447(a,1,1))]. 3799 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(128,a,3796,a)]. 3800 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(118(a,1),3771(a,1,2))]. 3801 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(66,a,3787,a,b,3800,a)]. 3802 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(124,a,3787,a,b,3800,a(flip)),flip(a)]. 3804 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(14(a,1),3802(a,2,2,1,2))]. 3805 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1538,a,3773,a)]. 3807 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(66,a,1095,a,b,3773,a)]. 3808 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(66,a,2579,a(flip),b,3773,a)]. 3809 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1518,a,3773,a(flip))]. 3810 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,3773,a(flip)),flip(a)]. 3811 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3773(a,1),2049(a,1,1))]. 3812 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3773(a,1),2075(a,2,2,1))]. 3813 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3773(a,1),2067(a,2,2,1))]. 3814 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3773(a,1),2808(a,1,1))]. 3815 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2068,a,3809,a)]. 3818 T(x,x / (y * x)) = T(x,y \ 1). [hyper(66,a,3306,a,b,3809,a)]. 3819 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(123,a,3809,a(flip),b,2063,a)]. 3820 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3809(a,1),2064(a,2,2))]. 3821 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3818(a,1),1071(a,1,2))]. 3822 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3805(a,2),3251(a,1,1))]. 3823 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(117(a,2),3810(a,1,2,1))]. 3824 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3819(a,2),203(a,2,1))]. 3825 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(885,a,3821,a),flip(a)]. 3826 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(138,a,3821,a)]. 3827 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(122,a,3821,a,b,xx)]. 3828 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(90(a,1),3821(a,2,2,1))]. 3829 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(368(a,2),3821(a,2,2)),flip(a)]. 3830 L(x,y,y \ 1) \ T(x,L(x,y,y \ 1) \ 1) = x * (a(1 / y,y,x) / x). [para(2965(a,1),3821(a,2,2,1))]. 3831 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [para(3029(a,1),3821(a,1,2))]. 3832 (x * y) * ((y * x) * (K(y,x) / (y * x))) = T(y * x,(x * y) \ 1). [para(21(a,2),3826(a,1,2,2,1))]. 3834 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1281(a,2),3795(a,1,1)),flip(a)]. 3835 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(66,a,1053,a(flip),b,3804,a)]. 3836 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3804(a,2),46(a,1))]. 3837 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3804(a,1),1313(a,1,1)),flip(a)]. 3838 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3820(a,1),2694(a,2,1,2))]. 3839 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1187,a,3828,a)]. 3840 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3835(a,1),1265(a,2,2,1,2))]. 3841 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(90(a,1),3829(a,2,2,2))]. 3842 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1276(a,1),3834(a,1,2))]. 3843 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1281(a,2),3777(a,2,2))]. 3844 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1429(a,1),3777(a,2,2))]. 3845 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(285,a,3805,a(flip),b,3811,a),flip(a)]. 3846 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3029(a,1),3811(a,1,1,2)),flip(a)]. 3847 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3823(a,2),46(a,1))]. 3849 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3839(a,1),431(a,1,2))]. 3850 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3289(a,1),3845(a,2,2,2,1))]. 3851 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3846(a,1),3822(a,1,1)),flip(a)]. 3852 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3781(a,1),834(a,1,1))]. 3853 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(285,a,3805,a(flip),b,3814,a),flip(a)]. 3854 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3773(a,1),3808(a,1,1))]. 3855 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3805(a,1),3812(a,1,1))]. 3856 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(14(a,1),3825(a,1,2,1)),flip(a)]. 3857 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(66,a,2927,a(flip),b,3856,a),flip(a)]. 3858 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(200(a,2),3857(a,1,2))]. 3859 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3858(a,1),786(a,1,1)),flip(a)]. 3860 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3070(a,1),3841(a,1,2))]. 3861 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3804(a,1),3837(a,1,2,1)),flip(a)]. 3862 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(447,a,3861,a),flip(a)]. 3863 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3844(a,2),46(a,1))]. 3864 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(66,a,3778,a(flip),b,3859,a)]. 3865 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(66,a,2183,a(flip),b,3864,a)]. 3866 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(14(a,1),3865(a,1,1,1)),flip(a)]. 3867 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(14(a,1),3866(a,1,1,1)),flip(a)]. 3868 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(66,a,3664,a(flip),b,3786,a)]. 3869 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2954(a,1),3868(a,2,1))]. 3870 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(66,a,3867,a(flip),b,3869,a),flip(a)]. 3871 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3227(a,1),3862(a,1,2))]. 3872 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(285,a,271,a(flip),b,3755,a)]. 3873 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(21(a,2),3852(a,2,1))]. 3874 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(66,a,3748,a(flip),b,3736,a),flip(a)]. 3875 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2394(a,1),3874(a,1,3)),flip(a)]. 3876 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1906(a,1),3875(a,1,2)),flip(a)]. 3878 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1906(a,1),3876(a,1,3)),flip(a)]. 3879 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(285,a,3853,a,b,3850,a),flip(a)]. 3880 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3029(a,1),3879(a,2,1,2))]. 3881 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(66,a,1413,a(flip),b,3840,a),flip(a)]. 3882 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(116(a,1),3881(a,2,1,2))]. 3883 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3779(a,1),3790(a,2,2))]. 3884 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [hyper(285,a,3714,a(flip),b,3746,a),flip(a)]. 3885 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2831(a,1),3838(a,1,1,1))]. 3886 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3720(a,1),3885(a,1,1,1))]. 3887 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(118(a,1),3886(a,1,1))]. 3888 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3827(a,1),3887(a,2,1))]. 3889 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(285,a,17,a(flip),b,3888,a),flip(a)]. 3890 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(38,a,2852,a(flip),b,3888,a)]. 3892 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2416,a,3889,a)]. 3894 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3889(a,1),2647(a,1,1)),flip(a)]. 3895 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(285,a,278,a,b,3890,a),flip(a)]. 3896 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(154(a,2),3890(a,2,2,1)),flip(a)]. 3897 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2401,a,3895,a)]. 3898 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(3895(a,1),3634(a,1,1)),flip(a)]. 3900 x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. [para(3897(a,1),2405(a,1))]. 3902 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3898(a,1),2946(a,1,2))]. 3903 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(117(a,1),3902(a,1,2,1,2))]. 3904 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [hyper(124,a,3903,a(flip),b,404,a),flip(a)]. 3906 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),3725(a,1,2))]. 3907 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(66,a,3656,a(flip),b,3728,a)]. 3908 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3906,a)]. 3909 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3654,a,3908,a),flip(a)]. 3911 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2409(a,2),3909(a,1,3))]. 3912 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(487(a,1),3593(a,2,2))]. 3913 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,3239,a(flip),b,3912,a),flip(a)]. 3914 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(487(a,1),3913(a,1,2))]. 3916 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1906(a,1),3680(a,2,2))]. 3917 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(87(a,1),3916(a,1,1))]. 3919 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(285,a,3889,a(flip),b,3917,a),flip(a)]. 3920 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(324(a,1),3919(a,1,2,2,2))]. 3921 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(66,a,3721,a(flip),b,3920,a)]. 3922 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2855,a,3921,a)]. 3923 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [hyper(2412,a,3921,a)]. 3924 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3922(a,1),3634(a,1,1)),flip(a)]. 3925 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (1 / T(y \ 1,z))). [para(3238(a,1),3923(a,1,2))]. 3926 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(66,a,2999,a(flip),b,3924,a)]. 3927 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (T(1 / y,z) \ 1)). [para(2380(a,1),3925(a,2,2,2))]. 3928 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ T(1 / y,z). [para(87(a,1),3927(a,2,2))]. 3930 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),3724(a,1,2,1))]. 3931 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3646(a,1),3930(a,1,2))]. 3932 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(770,a,3931,a)]. 3933 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3654,a,3932,a),flip(a)]. 3935 a(1 / x,y,z) = a(x \ 1,y,z). [para(1103(a,1),3933(a,1,1)),flip(a)]. 3936 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2646(a,1),3933(a,1,1)),flip(a)]. 3937 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [hyper(66,a,2965,a,b,3935,a)]. 3938 ((1 / x) * (x / y)) * y = a(x \ 1,x / y,y). [hyper(66,a,865,a,b,3935,a)]. 3939 a(x \ 1,x / y,y) / y = (1 / x) * (x / y). [hyper(123,a,3935,a(flip),b,865,a)]. 3940 a(x \ 1,x / y,y) \ y = L(y,x / y,x \ 1). [para(3935(a,1),3665(a,1,1))]. 3941 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3763(a,1),262(a,1))]. 3942 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3941,a,3813,a)]. 3943 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3815(a,1),3942(a,1,1)),flip(a)]. 3944 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3029(a,1),3943(a,1,2,1,2)),flip(a)]. 3945 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3029(a,1),3944(a,1,1)),flip(a)]. 3946 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(14(a,1),3945(a,1,2,2)),flip(a)]. 3947 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(14(a,1),3946(a,1,2)),flip(a)]. 3948 L(x,y \ T(y,z),y) = x. [hyper(690,a,3947,a)]. 3950 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(135,a,3947,a)]. 3951 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(37,a,996,a,b,3947,a),flip(a)]. 3954 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3770(a,2),3947(a,1,2,1))]. 3955 T(x,y) * y = x * ((x * y) / x). [para(3772(a,1),3947(a,1,2)),flip(a)]. 3957 L(x,y,y \ T(y,z)) = x. [hyper(3435,a,3948,a)]. 3958 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(122,a,3948,a(flip),b,3512,a)]. 3959 L(x,T(y,T(z,y)) \ y,z) = x. [para(3788(a,2),3948(a,1,2))]. 3962 L(x,y,T(z,T(y,z)) \ z) = x. [para(3788(a,2),3957(a,1,3))]. 3963 L(x,T(y,z) \ y,(y * z) / y) = x. [para(208(a,1),3959(a,1,2,1,2))]. 3964 T(x,y) * (x \ y) = (x * y) / x. [hyper(1015,a,3955,a)]. 3965 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1003,a,3955,a),flip(a)]. 3967 T(x,x / (x / y)) = T(x,y). [hyper(38,a,1335,a,b,3955,a)]. 3968 T(x,x \ y) * (x \ y) = x * (y / x). [para(15(a,1),3955(a,2,2,1))]. 3970 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3955(a,2),1578(a,1,1,1))]. 3971 T(x,y) = (x / y) * ((x * y) / x). [hyper(66,a,1045,a,b,3967,a),flip(a)]. 3972 T(x,x / (1 / y)) = T(x,x * y). [hyper(66,a,1341,a(flip),b,3967,a)]. 3973 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(66,a,1060,a(flip),b,3967,a)]. 3974 (x / y) \ T(x,y) = (x * y) / x. [hyper(122,a,3967,a(flip),b,1045,a)]. 3975 T(x,x / y) = T(x,y \ x). [para(87(a,1),3967(a,1,2,2))]. 3976 T(x,(y \ x) \ x) = T(x,y). [para(181(a,1),3967(a,1,2)),flip(a)]. 3977 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3967(a,1),1221(a,1,1))]. 3978 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1186,a,3975,a)]. 3979 T(x,T(y,y \ x)) = T(x,y). [para(117(a,2),3976(a,1,2))]. 3980 T(x * y,T(x,y)) = T(x * y,x). [para(14(a,1),3979(a,1,2,2))]. 3981 T(x / y,T(y,x)) = y \ x. [hyper(224,a,744,a,b,3964,a)]. 3982 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(224,a,745,a(flip),b,3964,a)]. 3984 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3964(a,1),23(a,2,1)),flip(a)]. 3985 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(97(a,1),3964(a,1,2))]. 3987 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3964(a,1),3209(a,1,1,1))]. 3988 T(x \ y,T(x,y)) = T(x \ y,x). [para(3981(a,1),231(a,1,1)),flip(a)]. 3989 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3981(a,1),1708(a,1,1)),flip(a)]. 3991 T(x / y,(x * y) / x) = y \ x. [hyper(224,a,3971,a(flip),b,1033,a(flip))]. 3993 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3972(a,1),1325(a,1,1))]. 3994 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(16(a,1),3974(a,1,1)),flip(a)]. 3995 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(285,a,117,a,b,3982,a),flip(a)]. 3997 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [hyper(124,a,3988,a(flip),b,27,a(flip))]. 3999 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3988(a,2),398(a,1,2,2))]. 4001 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(122,a,3963,a(flip),b,3883,a),flip(a)]. 4002 R(x,x \ T(x,y),z) = x. [hyper(700,a,3950,a)]. 4003 R(x,x \ (K(y,x) \ x),z) = x. [para(3834(a,1),4002(a,1,2,2))]. 4004 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(66,a,3855,a(flip),b,3951,a),flip(a)]. 4005 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(66,a,3540,a(flip),b,3951,a),flip(a)]. 4007 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(14(a,1),3958(a,2,2))]. 4011 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3965(a,2),47(a,1))]. 4012 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(122,a,3821,a,b,3968,a)]. 4013 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(66,a,3951,a,b,3968,a)]. 4014 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(66,a,281,a(flip),b,3968,a)]. 4015 T(x,x \ y) * y = x * (x * (y / x)). [hyper(124,a,3968,a(flip),b,993,a),flip(a)]. 4019 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(185,a,4007,a)]. 4020 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(124,a,4014,a(flip),b,1065,a),flip(a)]. 4021 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(123,a,4015,a(flip),b,1204,a)]. 4022 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3284,a,4019,a)]. 4023 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4019(a,1),307(a,1,1)),flip(b)]. 4024 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4019(a,1),3873(a,1,1)),flip(a)]. 4026 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(66,a,3447,a(flip),b,4022,a)]. 4027 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3774(a,1),3987(a,1,1))]. 4028 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(285,a,3973,a(flip),b,3993,a),flip(a)]. 4029 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4028(a,1),223(a,1,2))]. 4030 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4028(a,1),985(a,1,2)),flip(a)]. 4032 (T(x,y) \ x) * (x * y) = y * x. [hyper(37,a,3977,a(flip),b,3954,a),flip(a)]. 4033 K(x,y) = T(T(y,x) \ y,y * x). [hyper(224,a,4032,a,b,96,a),flip(a)]. 4034 (x * y) / (y * x) = T(y,x) \ y. [hyper(135,a,4032,a)]. 4035 T(x,y / x) \ x = y / (x * (y / x)). [hyper(123,a,17,a(flip),b,4032,a),flip(a)]. 4036 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4032(a,1),294(a,1,1)),flip(b)]. 4038 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(15(a,1),4033(a,2,2)),flip(a)]. 4039 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(42,a,3870,a,b,4034,a(flip))]. 4040 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(17(a,1),4034(a,1,2)),flip(a)]. 4042 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2179(a,1),4039(a,1,2))]. 4043 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3801(a,1),4038(a,1,1))]. 4044 T(x \ T(x * y,y),x) = R(y,x,y). [para(3994(a,1),713(a,2,1)),flip(a)]. 4045 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3994(a,1),724(a,1,1))]. 4046 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4045(a,1),98(a,1,1))]. 4048 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(138,a,4001,a)]. 4050 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3176(a,1),4001(a,1,2))]. 4051 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(38,a,418,a,b,4030,a)]. 4052 (x * (y / x)) / y = (x \ y) \ (y / x). [para(118(a,1),4040(a,1,1)),flip(a)]. 4053 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(285,a,3799,a(flip),b,4052,a),flip(a)]. 4054 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(66,a,3807,a(flip),b,4053,a),flip(a)]. 4055 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(66,a,3785,a,b,4048,a)]. 4056 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4050(a,1),3882(a,1,2,1))]. 4057 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3994(a,1),4051(a,1,1))]. 4059 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(15(a,1),4023(a,1,2))]. 4060 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(66,a,3999,a(flip),b,3989,a),flip(a)]. 4061 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(66,a,625,a(flip),b,4060,a),flip(a)]. 4062 K(x,T(y,y * x)) = K(x,y). [hyper(66,a,625,a(flip),b,4061,a),flip(a)]. 4064 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [hyper(66,a,3051,a(flip),b,4024,a)]. 4066 R(K(x,y),x,z) = K(x,y). [hyper(285,a,4024,a,b,4064,a)]. 4068 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4066(a,1),112(a,1,1)),flip(a)]. 4069 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4066(a,1),3504(a,1,1,1)),flip(a)]. 4070 L(x,y,K(y,z)) = x. [hyper(445,a,4068,a)]. 4071 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3347(a,1),4068(a,1,1))]. 4072 L(x,y,K(y,z)) != u | u = x. [para(4070(a,1),53(a,1)),flip(a)]. 4074 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1139,a,4026,a),flip(a)]. 4076 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(609,a,4054,a)]. 4077 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [hyper(124,a,4076,a(flip),b,117,a(flip))]. 4078 T(x,(x / y) \ 1) = T(x,x \ y). [para(90(a,1),4076(a,1,2,2)),flip(a)]. 4079 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4076(a,1),249(a,1,2))]. 4081 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4076(a,1),3801(a,1,1)),flip(a)]. 4082 (x / y) \ T(x,x \ y) = x * (y / x). [para(4078(a,1),3828(a,1,2))]. 4083 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(90(a,1),4077(a,1,2,2))]. 4084 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3029(a,1),4077(a,1,2))]. 4085 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3029(a,1),4079(a,1,2))]. 4086 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4082(a,1),1352(a,2,2,1))]. 4087 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4082(a,1),1666(a,1,1,2,1))]. 4088 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4076(a,1),4012(a,1,1))]. 4089 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2960(a,1),4088(a,2,2))]. 4090 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(66,a,3771,a(flip),b,4074,a)]. 4091 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4074(a,1),3793(a,1,1)),flip(a)]. 4092 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(66,a,4081,a(flip),b,4090,a)]. 4093 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(285,a,1266,a,b,4092,a)]. 4094 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(285,a,1110,a,b,4092,a)]. 4095 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(285,a,883,a(flip),b,4092,a),flip(a)]. 4096 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4092(a,2),23(a,2,1)),flip(a)]. 4098 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4092(a,2),1396(a,1,1))]. 4099 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4092(a,2),3250(a,2,2)),flip(a)]. 4100 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4094(a,2),3168(a,1,1))]. 4101 T(x,y) \ x = y \ T(y,x). [para(3029(a,1),4095(a,1,1))]. 4102 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(285,a,3771,a(flip),b,4101,a),flip(a)]. 4104 (x * y) / x = y * (T(y,x) \ y). [hyper(124,a,4101,a,b,3768,a),flip(a)]. 4105 T(x,T(y,x)) = T(x,y). [hyper(42,a,3788,a,b,4101,a)]. 4106 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [hyper(124,a,2437,a,b,4101,a(flip))]. 4107 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4101(a,2),3947(a,1,2,1))]. 4108 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4101(a,2),3951(a,1,1)),flip(a)]. 4109 K(x,y) = T(x \ T(x,y),y * x). [para(4101(a,1),4033(a,2,1))]. 4110 x * (T(x,y) \ y) = T(y,x). [hyper(1063,a,4105,a)]. 4111 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(635,a,4105,a),flip(a)]. 4112 T(x,x \ y) \ y = T(x \ y,x). [hyper(634,a,4105,a)]. 4113 T(x,y) \ (x * y) = T(y,x). [hyper(633,a,4105,a)]. 4114 T((T(x,y) * y) / T(x,y),x) = y. [hyper(426,a,4105,a)]. 4115 R(T(x,x * y),y,x) = T(x,y). [hyper(66,a,4028,a,b,4105,a)]. 4116 (x / T(y,x)) * y = T(x,y). [hyper(66,a,3973,a,b,4105,a)]. 4118 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(66,a,4042,a(flip),b,4105,a),flip(a)]. 4119 T(x,y) * T(y,x) = x * y. [hyper(124,a,4105,a(flip),b,220,a)]. 4120 T(x,y) / y = x / T(y,x). [hyper(123,a,4105,a(flip),b,3973,a)]. 4121 T(x,y) \ y = x \ T(y,x). [hyper(122,a,4105,a(flip),b,1018,a),flip(a)]. 4122 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(28(a,1),4105(a,1,2))]. 4123 T(x,y / x) = T(x,x \ y). [para(118(a,1),4105(a,1,2)),flip(a)]. 4124 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4105(a,1),221(a,1,2,1))]. 4126 (x * y) / T(y,x) = T(x,y). [para(4105(a,1),251(a,1,2))]. 4127 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4105(a,1),222(a,1,2,1))]. 4128 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4105(a,1),223(a,1,2,1))]. 4129 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(4105(a,1),282(a,1,1)),flip(a)]. 4130 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(664(a,1),4105(a,1,2))]. 4131 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4105(a,1),591(a,1,2,1,1))]. 4133 T(x,y) * (y * x) = x * (x * y). [para(4105(a,1),3977(a,1,1))]. 4134 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4105(a,1),4029(a,1,2)),flip(a)]. 4136 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [hyper(124,a,4110,a(flip),b,2894,a)]. 4140 T(x,y) = (x \ (y * x)) \ (y * x). [para(27(a,1),4113(a,1,1)),flip(a)]. 4141 x * T(y,z) != z * y | T(z,y) = x. [para(4113(a,1),134(a,1,2)),flip(b)]. 4143 T(x / T(y,x),y) = y \ T(x,y). [hyper(224,a,4116,a,b,15,a)]. 4144 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(123,a,4105,a(flip),b,4116,a)]. 4145 T(x,y) = (x * (x * y)) / (y * x). [hyper(66,a,1223,a,b,4116,a),flip(a)]. 4147 T(x,y) * (x \ T(y,x)) = y. [hyper(1015,a,4119,a)]. 4148 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(124,a,4119,a(flip),b,176,a)]. 4149 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4119(a,1),19(a,2,1,2)),flip(a)]. 4150 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4119(a,1),19(a,2,2,1)),flip(a)]. 4151 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4119(a,1),23(a,2,1)),flip(a)]. 4152 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4119(a,1),105(a,2,1))]. 4153 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4119(a,1),475(a,2,2))]. 4154 (T(x,y) / y) \ x = T(y,x). [hyper(180,a,4120,a(flip))]. 4155 x / (y \ T(x,y)) = T(y,x). [hyper(185,a,4121,a)]. 4157 x * (T(x,y) \ y) != z | T(y,x) = z. [para(4121(a,2),240(a,1,2)),flip(b)]. 4158 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4121(a,1),94(a,1,1,2,1))]. 4159 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4121(a,2),1435(a,2,1))]. 4160 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4121(a,1),1828(a,1,2,1))]. 4161 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4121(a,1),1727(a,1,2,1))]. 4162 T(x,y / x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4123,a),flip(a)]. 4163 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(66,a,731,a,b,4123,a)]. 4164 (x / y) * T(y,y \ x) = y * (x / y). [hyper(124,a,4123,a(flip),b,27,a(flip))]. 4165 (x * (y / x)) / T(x,x \ y) = y / x. [para(4123(a,1),179(a,1,2))]. 4166 x / T(y,x / y) = y \ x. [para(4123(a,2),249(a,1,2))]. 4167 T(x,y / x) != z | (x \ y) \ y = z. [para(4123(a,2),632(a,1))]. 4169 (x * (y / x)) * x = y * T(x,x \ y). [para(4123(a,1),857(a,2,2))]. 4170 T(x,T(y,x / y)) = T(x,y). [para(4123(a,2),3979(a,1,2))]. 4171 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(32(a,2),4126(a,1,2))]. 4172 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4126(a,1),744(a,1,1)),flip(a)]. 4174 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4154(a,1),312(a,1,2,1,2))]. 4175 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ T(1,y),(y \ T(1,y)) \ 1) / T(y,1). [para(4155(a,1),2735(a,2,2))]. 4178 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4162(a,1),857(a,2,2))]. 4179 x / T(y \ x,y) = (y \ x) \ x. [para(87(a,1),4166(a,1,2,2))]. 4180 T(x * y,T(y,x)) = T(x * y,y). [para(16(a,1),4170(a,1,2,2))]. 4181 T(x,x * (y / x)) = T(x,y). [hyper(45,a,731,a,b,4115,a),flip(a)]. 4182 T(x,y * x) = T(x,x * y). [hyper(45,a,727,a,b,4115,a)]. 4183 R(T(x,y),x \ y,x) = T(x,x \ y). [para(15(a,1),4115(a,1,1,2))]. 4184 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4181(a,1),3965(a,2,1))]. 4185 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4181(a,1),4116(a,1,1,2))]. 4186 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4181(a,1),4147(a,1,1))]. 4187 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(66,a,32,a,b,4182,a)]. 4188 T(x,(x \ y) * x) = T(x,y). [para(15(a,1),4182(a,2,2))]. 4189 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4182(a,1),28(a,1,1))]. 4190 x * T(y,x * y) = L(y,x,y) * x. [para(4182(a,2),667(a,1,2))]. 4191 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4182(a,1),752(a,1,2))]. 4192 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4182(a,2),671(a,1,2,1))]. 4193 K(x,T(y,x * y)) = K(x,y). [para(4182(a,2),4062(a,1,2))]. 4194 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(124,a,4188,a(flip),b,753,a),flip(a)]. 4195 T(x \ y,x * (y / x)) = T(x \ y,y). [para(4014(a,1),4188(a,1,2))]. 4196 K(x,T(x \ y,y)) = K(x,x \ y). [para(15(a,1),4193(a,1,2,2))]. 4197 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(285,a,3802,a,b,4104,a),flip(a)]. 4198 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),208(a,1,1))]. 4199 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4104(a,2),4050(a,1,2)),flip(a)]. 4200 T(x / (x / y),y \ x) = y. [para(3802(a,2),4198(a,1,1))]. 4201 (x / (x / y)) * (y \ x) = (y \ x) * y. [hyper(124,a,4200,a(flip),b,27,a(flip)),flip(a)]. 4202 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4200(a,1),28(a,1,1)),flip(a)]. 4203 T(x / (x / (x / y)),y) = x / y. [para(90(a,1),4200(a,1,2))]. 4205 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(285,a,3845,a(flip),b,4109,a)]. 4206 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4111(a,1),695(a,1,1))]. 4207 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(285,a,4044,a(flip),b,4112,a),flip(a)]. 4208 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2917(a,1),4112(a,1,1)),flip(a)]. 4209 T(x,(1 / x) * y) = T(x,x \ y). [hyper(66,a,2954,a,b,4118,a)]. 4210 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(66,a,2903,a(flip),b,4118,a),flip(a)]. 4211 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(15(a,1),4118(a,1,2)),flip(a)]. 4212 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4118(a,1),3872(a,2,1,2))]. 4213 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4133(a,1),858(a,1,1))]. 4214 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4133(a,1),1574(a,2,2,1)),flip(a)]. 4215 ((x / y) * x) / (y * (x / y)) = T(x / y,y). [para(17(a,1),4145(a,2,1,2)),flip(a)]. 4216 (x * (y / x)) / x = y / (y / (y / x)). [hyper(254,a,4203,a)]. 4217 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4203(a,1),702(a,1,1))]. 4218 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(15(a,1),4209(a,1,2)),flip(a)]. 4219 x / T(y,(1 / y) * x) = y \ x. [para(4209(a,2),249(a,1,2))]. 4220 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(4211(a,1),3979(a,1,2))]. 4221 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [hyper(124,a,4218,a(flip),b,117,a(flip))]. 4222 T(x,T(y,x)) != z | T(x,y) = z. [para(1018(a,1),4157(a,1))]. 4223 T(x,x \ y) != z | T(x,y / x) = z. [para(118(a,1),4222(a,1,2))]. 4225 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4183,a),flip(a)]. 4227 L(x,y,(y * x) / y) = L(x,y,x). [hyper(871,a,4190,a)]. 4228 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(755,a,4190,a)]. 4229 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(754,a,4190,a)]. 4230 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4190,a)]. 4231 (x * (y * x)) / x = L(x,y,x) * y. [hyper(66,a,741,a,b,4190,a)]. 4232 T(L(x,y,x) * y,x) = y * x. [para(4190(a,1),738(a,1,1))]. 4233 (L(x,y,x) * y) * x = x * (y * x). [para(4190(a,1),739(a,1,1))]. 4234 T(x,L(x,y,x) * y) = T(x,y * x). [para(4232(a,1),4105(a,1,2)),flip(a)]. 4236 T((x * y) / x,L(x,y,x)) = y. [hyper(1577,a,4229,a)]. 4237 T(x,L(y,x,y)) = T(x,y). [para(4236(a,1),253(a,1,1)),flip(a)]. 4238 T(x,T(y,y * x)) = T(x,y). [hyper(66,a,4130,a,b,4237,a)]. 4239 L(x,y,x) * T(y,x) = y * L(x,y,x). [hyper(124,a,4237,a(flip),b,27,a(flip))]. 4241 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4238(a,1),222(a,1,2,1))]. 4242 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4238(a,1),223(a,1,2,1))]. 4245 L(R(x,y,x),y,x) = x. [hyper(38,a,472,a,b,4233,a(flip))]. 4247 R(x,y,T(x,y)) = R(x,y,x). [hyper(44,a,1059,a,b,4245,a)]. 4248 x \ T(y * x,y) = R(y,x,y). [hyper(44,a,450,a,b,4245,a)]. 4250 x * R(y,x,y) = T(y * x,y). [hyper(124,a,4247,a(flip),b,1057,a)]. 4251 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4105(a,1),4247(a,1,3))]. 4252 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(15(a,1),4248(a,1,2,1)),flip(a)]. 4253 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4248(a,1),105(a,1,1)),flip(a)]. 4254 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4250(a,1),304(a,1,2)),flip(b)]. 4255 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4250(a,1),1633(a,1,1))]. 4256 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4250(a,1),2550(a,2,1))]. 4257 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(285,a,4182,a(flip),b,4234,a),flip(a)]. 4258 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(672(a,1),4234(a,1,2))]. 4259 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4257(a,1),1220(a,1,1))]. 4260 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(87(a,1),4100(a,1,1,1,2)),flip(a)]. 4261 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(66,a,4035,a(flip),b,4102,a)]. 4262 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(37,a,1064,a,b,4107,a),flip(a)]. 4263 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(285,a,4048,a,b,4108,a)]. 4264 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4159(a,2),4145(a,2,2)),flip(a)]. 4265 (x * T(y,y \ x)) / y = y * (x / y). [hyper(66,a,1206,a,b,4164,a)]. 4266 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4120(a,1),4164(a,1,1))]. 4267 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(123,a,4169,a(flip),b,1203,a)]. 4268 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(122,a,4169,a(flip),b,645,a)]. 4270 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4178(a,1),275(a,1,1))]. 4271 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(66,a,28,a,b,4189,a),flip(a)]. 4272 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1705(a,1),4189(a,1,1)),flip(a)]. 4273 T(x / (x / y),x) = L(y,y \ x,y). [para(4197(a,1),676(a,1,1))]. 4274 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4273(a,1),28(a,1,1)),flip(a)]. 4275 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4273(a,2),34(a,1,1))]. 4276 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(66,a,1231,a,b,4201,a)]. 4277 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4239(a,1),47(a,1)),flip(a)]. 4278 K(x \ y,x) \ x = x * K(x,y / x). [hyper(66,a,3810,a(flip),b,4260,a),flip(a)]. 4281 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(4134(a,1),294(a,1,1)),flip(b)]. 4282 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2835(a,2),4106(a,1,2))]. 4283 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(122,a,4119,a(flip),b,4124,a)]. 4284 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(30(a,2),4283(a,1,1))]. 4285 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(632,a,4210,a),flip(a)]. 4286 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(15(a,1),4285(a,1,2)),flip(a)]. 4287 ((x / y) * x) / (y * (x / y)) = y \ x. [hyper(285,a,118,a(flip),b,4215,a),flip(a)]. 4288 (x * (y / x)) \ ((y / x) * y) = T(x \ y,x * (y / x)). [para(4287(a,1),118(a,1,1)),flip(a)]. 4289 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(285,a,4188,a(flip),b,4258,a),flip(a)]. 4290 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4289(a,1),1218(a,1,1))]. 4291 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(285,a,1265,a(flip),b,4262,a)]. 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(66,a,1302,a,b,4263,a)]. 4294 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(285,a,28,a,b,4272,a),flip(a)]. 4295 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(124,a,994,a(flip),b,4292,a)]. 4296 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(66,a,1300,a,b,4295,a)]. 4297 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(285,a,999,a,b,4296,a),flip(a)]. 4298 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(285,a,30,a,b,4274,a),flip(a)]. 4299 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(285,a,3795,a(flip),b,4091,a),flip(a)]. 4300 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4222,a,4299,a),flip(a)]. 4301 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4222,a,4300,a),flip(a)]. 4303 T(x,y / (z * y)) = T(x,z \ 1). [para(14(a,1),4301(a,1,2,1))]. 4304 T(x,(y / z) \ 1) = T(x,z / y). [para(90(a,1),4301(a,1,2,1)),flip(a)]. 4306 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(4167,a,4303,a),flip(a)]. 4311 x / T(y * x,y \ 1) = (y * x) \ x. [para(4303(a,1),4166(a,1,2))]. 4312 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4304(a,1),3880(a,1,1,2))]. 4313 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(66,a,3029,a(flip),b,4306,a)]. 4314 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(124,a,3029,a(flip),b,4306,a(flip))]. 4315 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(90(a,1),4306(a,1,2))]. 4316 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(66,a,2180,a(flip),b,4313,a),flip(a)]. 4317 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4313(a,2),4111(a,2,1))]. 4318 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(224,a,4314,a,b,15,a)]. 4320 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4315(a,2),4111(a,2,1))]. 4321 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(285,a,4094,a(flip),b,4098,a),flip(a)]. 4322 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(662(a,1),4127(a,1,2))]. 4323 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(285,a,4239,a(flip),b,4322,a),flip(a)]. 4325 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4182(a,2),4323(a,1,2))]. 4326 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(66,a,674,a,b,4325,a)]. 4328 L(x,T(y,x),x) = L(x,y,x). [hyper(4277,a,4326,a),flip(a)]. 4329 T(x * L(y,x,y),y) = T(x,y) * y. [para(4326(a,1),4232(a,1,1))]. 4330 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(285,a,4228,a,b,4328,a)]. 4331 L(x,y / x,x) = L(x,x \ y,x). [para(118(a,1),4328(a,1,2)),flip(a)]. 4332 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(664(a,1),4328(a,1,2))]. 4333 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4128(a,1),212(a,1,1,2))]. 4334 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4115(a,1),4128(a,1,2)),flip(a)]. 4335 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4163(a,1),4128(a,1,2)),flip(a)]. 4336 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4183(a,1),4128(a,1,2)),flip(a)]. 4337 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1440(a,1),4186(a,1,2))]. 4338 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4120(a,1),4337(a,1,2))]. 4339 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4338(a,1),46(a,1)),flip(a)]. 4341 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4118(a,1),4205(a,1,2,2,1))]. 4342 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(138,a,4341,a),flip(a)]. 4343 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3847,a,4342,a)]. 4344 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4343(a,1),433(a,1,2))]. 4345 K(x * y,T(y,x)) = K(y * x,y). [hyper(310,a,4213,a),flip(a)]. 4346 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4213(a,1),310(a,1))]. 4347 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(285,a,3851,a(flip),b,4321,a),flip(a)]. 4348 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1770(a,1),4171(a,1,2,1))]. 4349 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4192(a,1),1687(a,1,1))]. 4350 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(285,a,4255,a(flip),b,4334,a),flip(a)]. 4351 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4350(a,1),4253(a,1,2))]. 4352 R(x,y / x,x) = R(x,x \ y,x). [hyper(38,a,4335,a,b,4336,a)]. 4354 R(x,(x * y) / x,x) = R(x,y,x). [para(14(a,1),4352(a,2,2))]. 4355 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4352(a,1),467(a,1,1))]. 4356 R(x,T(y,x),x) = R(x,y,x). [para(209(a,1),4354(a,1,2)),flip(a)]. 4357 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(66,a,4251,a,b,4356,a)]. 4358 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4357(a,1),32(a,2,1))]. 4359 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4357(a,1),36(a,1,1)),flip(a)]. 4361 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(285,a,32,a,b,4358,a),flip(a)]. 4362 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4361(a,1),32(a,2,1))]. 4364 (x * (y / x)) \ ((y / x) * y) = T(x \ y,y). [hyper(285,a,4195,a(flip),b,4288,a),flip(a)]. 4365 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(66,a,1283,a(flip),b,4291,a),flip(a)]. 4366 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3029(a,1),4347(a,1,1,1)),flip(a)]. 4367 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(185,a,4366,a)]. 4368 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(66,a,3338,a(flip),b,4367,a)]. 4369 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(718(a,1),4368(a,1,1,1,1)),flip(a)]. 4370 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(285,a,32,a,b,4362,a),flip(a)]. 4371 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4359(a,1),4148(a,1,1)),flip(a)]. 4372 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(285,a,638,a(flip),b,4217,a),flip(a)]. 4373 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4216(a,2),4372(a,1,2))]. 4374 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(16(a,1),4312(a,1,1,2,2))]. 4375 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(66,a,3220,a(flip),b,4374,a),flip(a)]. 4376 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4375(a,1),3782(a,1,1))]. 4377 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3798,a,4376,a)]. 4378 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(92(a,1),4376(a,1,2))]. 4380 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(117(a,1),4378(a,1,1,2))]. 4381 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(185,a,4380,a)]. 4382 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(285,a,4053,a,b,4381,a)]. 4384 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(285,a,242,a(flip),b,4377,a),flip(a)]. 4385 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3843(a,1),4384(a,1,3))]. 4386 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(285,a,452,a(flip),b,4385,a),flip(a)]. 4387 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4386(a,1),3383(a,1,2,2,1,2))]. 4389 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3951(a,1),4004(a,2,2))]. 4390 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2925(a,1),4005(a,1,2))]. 4391 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(66,a,3503,a(flip),b,4390,a),flip(a)]. 4392 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(285,a,4124,a(flip),b,4172,a),flip(a)]. 4393 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(285,a,4013,a(flip),b,4212,a),flip(a)]. 4394 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(66,a,2534,a(flip),b,4267,a),flip(a)]. 4395 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(414(a,1),4387(a,1,2)),flip(a)]. 4397 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,4395,a)]. 4398 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [hyper(123,a,82,a(flip),b,4395,a)]. 4399 L(x,y,K(z,y)) = x. [para(115(a,1),4397(a,1,2))]. 4400 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1176,a,4399,a),flip(a)]. 4401 a(K(x,y),y,z) = 1. [hyper(56,a,4399,a)]. 4402 L(x,y,T(y,z) \ y) = x. [para(3175(a,1),4399(a,1,3))]. 4403 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4402(a,1),3871(a,1,2)),flip(a)]. 4404 L(x,T(y,z) \ y,y) = x. [hyper(285,a,15,a(flip),b,4403,a),flip(a)]. 4408 L(x,K(y,z),z) = x. [para(4093(a,2),4404(a,1,2))]. 4409 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1176,a,4408,a),flip(a)]. 4411 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4408(a,1),178(a,1,2))]. 4413 R(K(x,y),y,z) = K(x,y). [hyper(475,a,4400,a)]. 4414 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3186(a,1),4400(a,1,1))]. 4415 R(x,K(y,x),z) = x. [hyper(475,a,4409,a)]. 4416 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4409(a,1),23(a,2,1)),flip(a)]. 4418 R(T(x,y),K(z,x),u) = T(x,y). [para(4415(a,1),32(a,2,1))]. 4419 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4415(a,1),471(a,1,1,1)),flip(a)]. 4420 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4415(a,1),473(a,1,1,1)),flip(a)]. 4423 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(285,a,3842,a(flip),b,4418,a),flip(a)]. 4424 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(516,a,4414,a)]. 4425 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(285,a,152,a(flip),b,4414,a),flip(a)]. 4426 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(122,a,84,a(flip),b,4414,a)]. 4427 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(66,a,4409,a(flip),b,4414,a),flip(a)]. 4428 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(66,a,4409,a(flip),b,4425,a)]. 4430 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(66,a,3555,a(flip),b,4426,a),flip(a)]. 4431 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(124,a,3555,a(flip),b,4426,a(flip))]. 4433 R(x,K(y,x) \ 1,z) = x. [para(4430(a,1),4003(a,1,2))]. 4435 K(x \ y,x) \ 1 = K(x,y / x). [hyper(37,a,4278,a(flip),b,4431,a),flip(a)]. 4436 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(122,a,4431,a(flip),b,3472,a)]. 4438 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4431(a,1),176(a,1,2,1))]. 4439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(4431(a,1),3475(a,1,1))]. 4441 K(x,(x * y) / x) = K(y,x) \ 1. [para(14(a,1),4435(a,1,1,1)),flip(a)]. 4443 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(4436(a,1),884(a,1,2,1))]. 4444 K(T(x,y),y) \ 1 = K(y,x). [para(209(a,1),4441(a,1,2)),flip(a)]. 4446 K(T(x,y),y) * K(y,x) = 1. [hyper(138,a,4444,a)]. 4447 K(T(x,y),y) = K(y,x) \ 1. [hyper(42,a,2510,a,b,4444,a),flip(a)]. 4448 R(x,K(x,y),z) = x. [para(4444(a,1),4433(a,1,2))]. 4450 R(T(x,y),K(x,z),u) = T(x,y). [para(4448(a,1),32(a,2,1))]. 4451 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4448(a,1),472(a,1,1,1)),flip(a)]. 4452 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4448(a,1),473(a,1,1,1)),flip(a)]. 4454 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4448(a,1),3212(a,1,1)),flip(a)]. 4455 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4446(a,1),304(a,1,2)),flip(b)]. 4457 x * K(T(y,x),x) = K(x,y) \ x. [hyper(124,a,4447,a,b,3522,a)]. 4458 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4450(a,1),473(a,1,1,1)),flip(a)]. 4459 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(118(a,1),4455(a,1,1,1))]. 4460 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4447(a,2),4455(a,1))]. 4463 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4427(a,1),303(a,1))]. 4465 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),442(a,1,1))]. 4467 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(138,a,4439,a)]. 4468 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(66,a,4071,a(flip),b,4454,a)]. 4469 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(4467(a,1),2699(a,1,1)),flip(a)]. 4470 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4468(a,1),375(a,1,2))]. 4471 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4447(a,2),4459(a,1))]. 4472 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4027(a,2),4460(a,1))]. 4474 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(66,a,280,a(flip),b,4443,a),flip(a)]. 4475 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(176(a,1),4463(a,1,2,2))]. 4477 R(K(x,y),x,z) != u | K(x,y) = u. [para(4024(a,2),4472(a,1))]. 4478 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3195(a,1),4420(a,1,1))]. 4479 T(x,y * K(x,y)) = T(x,y). [hyper(4470,a,4424,a),flip(a)]. 4480 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4479(a,1),4349(a,2,2))]. 4481 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3354(a,1),4451(a,1,1))]. 4482 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(66,a,278,a(flip),b,4474,a),flip(a)]. 4483 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(4478(a,1),475(a,1))]. 4484 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3842(a,1),4423(a,1,1))]. 4485 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(66,a,3380,a(flip),b,4484,a)]. 4487 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(136,a,4485,a)]. 4488 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(285,a,4482,a(flip),b,4469,a),flip(a)]. 4489 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(4488(a,1),2320(a,1,2,2))]. 4490 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(66,a,4185,a(flip),b,4394,a),flip(a)]. 4491 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(285,a,1443,a(flip),b,4490,a),flip(a)]. 4492 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(37,a,4266,a,b,4491,a)]. 4493 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4492(a,1),249(a,1,2))]. 4494 T(x,T(x,y) \ y) = T(x,x \ y). [para(4121(a,2),4492(a,1,2))]. 4495 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(14(a,1),4493(a,1,2,2))]. 4496 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(285,a,4331,a(flip),b,3970,a),flip(a)]. 4497 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4375(a,1),4055(a,1,1))]. 4498 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4059,a,4497,a),flip(a)]. 4499 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4023,a,4497,a),flip(a)]. 4504 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(66,a,4365,a(flip),b,4498,a),flip(a)]. 4505 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(66,a,4262,a(flip),b,4498,a)]. 4509 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(122,a,15,a(flip),b,4499,a)]. 4510 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(66,a,4108,a,b,4499,a)]. 4511 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(122,a,4499,a(flip),b,4048,a),flip(a)]. 4512 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),3954(a,1,2)),flip(a)]. 4513 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),4107(a,1,2)),flip(a)]. 4515 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [hyper(124,a,4510,a(flip),b,4292,a)]. 4516 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4513(a,1),4151(a,1,2))]. 4517 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(66,a,838,a(flip),b,4505,a)]. 4518 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(66,a,3984,a(flip),b,4511,a),flip(a)]. 4519 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(15(a,1),4515(a,1,1,1)),flip(a)]. 4520 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(4515(a,1),95(a,1,1)),flip(a)]. 4521 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(447,a,4516,a),flip(a)]. 4522 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(66,a,4152,a(flip),b,4521,a)]. 4523 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(118(a,1),4521(a,1,2))]. 4524 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(691,a,4518,a),flip(a)]. 4525 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(13(a,1),4522(a,1,2)),flip(a)]. 4526 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(118(a,1),4522(a,2,1,1))]. 4527 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(285,a,212,a(flip),b,4520,a),flip(a)]. 4528 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4513(a,1),4150(a,1,1))]. 4529 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(647,a,4528,a),flip(a)]. 4530 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4528(a,1),647(a,1))]. 4531 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(285,a,473,a(flip),b,4371,a),flip(a)]. 4532 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1168(a,1),4531(a,1,1))]. 4533 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(122,a,4255,a(flip),b,4532,a(flip))]. 4534 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4433(a,1),4438(a,1,1))]. 4535 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(138,a,4534,a)]. 4536 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(37,a,4487,a(flip),b,4535,a),flip(a)]. 4538 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(2190,a,4536,a)]. 4540 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(128,a,4536,a)]. 4542 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [para(116(a,1),4536(a,1,2))]. 4543 L(x,K(y,z),K(T(z,y),y)) = x. [para(4444(a,1),4538(a,1,2))]. 4544 K(T(x,y),y) * z = K(y,x) \ z. [para(4444(a,1),4540(a,1,1)),flip(a)]. 4545 x / (x * K(y,x)) = K(y,x) \ 1. [hyper(123,a,3185,a(flip),b,4542,a)]. 4546 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(14(a,1),4496(a,2,2))]. 4547 L(x,y,T(x,y)) = L(x,y,x). [hyper(66,a,4214,a(flip),b,4546,a)]. 4548 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(4123(a,1),4526(a,1,2,1))]. 4549 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(285,a,4245,a(flip),b,4057,a),flip(a)]. 4551 T(x,x \ T(x * y,y)) = T(x,y). [para(4549(a,1),3995(a,1,2)),flip(a)]. 4552 K(x,x \ T(x * y,y)) = K(x,y). [para(4549(a,1),4196(a,1,2)),flip(a)]. 4553 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4551(a,1),4207(a,1,1))]. 4554 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(66,a,4046,a,b,4552,a),flip(a)]. 4555 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(27(a,1),4553(a,1,1))]. 4556 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4250(a,1),4554(a,2,1))]. 4557 K(x \ T(x * y,x),x) = K(y,x). [hyper(285,a,1448,a(flip),b,4556,a)]. 4558 K(x \ T(y,x),x) = K(x \ y,x). [para(15(a,1),4557(a,1,1,2,1))]. 4559 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(208(a,1),4558(a,1,1,2)),flip(a)]. 4560 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4199(a,2),4559(a,1,1))]. 4561 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4560(a,1),4056(a,1,2)),flip(a)]. 4562 T(x,(y \ x) * y) = x. [hyper(38,a,3985,a,b,4561,a(flip))]. 4563 T((x \ y) * x,y) = (x \ y) * x. [hyper(57,a,4562,a)]. 4564 T(x,y * (x / y)) = x. [para(90(a,1),4562(a,1,2,1))]. 4565 T(x * (y / x),y) = x * (y / x). [para(91(a,1),4562(a,1,2))]. 4566 T(T(x,y),z * (x / z)) = T(x,y). [para(4564(a,1),28(a,1,1)),flip(a)]. 4567 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4565(a,2),4382(a,1,1))]. 4568 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3857(a,1),4567(a,1,1,1)),flip(a)]. 4570 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3029(a,1),4136(a,1,2))]. 4571 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(66,a,2430,a,b,4570,a)]. 4572 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4571(a,2),1490(a,2,2,1,2))]. 4573 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(66,a,3027,a(flip),b,4208,a),flip(a)]. 4574 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(90(a,1),4573(a,1,1,2)),flip(a)]. 4575 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4110(a,1),4264(a,1,1,2))]. 4576 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(116(a,1),4575(a,1,1))]. 4577 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(285,a,4494,a(flip),b,4576,a),flip(a)]. 4578 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3388(a,1),4391(a,1,1)),flip(a)]. 4579 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4393(a,1),4568(a,1,2)),flip(a)]. 4580 ((x \ y) * x) / y = y / (x * (y / x)). [para(4563(a,1),4579(a,1,1))]. 4581 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(285,a,4261,a(flip),b,4580,a),flip(a)]. 4582 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2387(a,1),4574(a,2,1))]. 4583 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3610(a,1),4582(a,1,1))]. 4584 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4583(a,1),4529(a,1,1))]. 4585 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(66,a,4509,a(flip),b,4096,a)]. 4586 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(66,a,4533,a(flip),b,4351,a),flip(a)]. 4588 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4409(a,1),4416(a,1,2))]. 4589 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(66,a,4389,a(flip),b,4585,a)]. 4590 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4510(a,1),4589(a,1,2)),flip(a)]. 4592 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4590(a,2),556(a,1))]. 4594 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(993(a,1),4086(a,1,1,2,1))]. 4595 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(552,a,4489,a),flip(a)]. 4596 K(x,(y \ 1) \ 1) = K(x,y). [hyper(285,a,617,a(flip),b,4595,a)]. 4597 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(4595(a,2),618(a,1))]. 4598 K(x,1 / y) = K(x,y \ 1). [para(90(a,1),4596(a,1,2,1)),flip(a)]. 4599 K(x,1 / (1 / y)) = K(x,y). [para(184(a,1),4596(a,1,2)),flip(a)]. 4600 K(x,T(y / z,z / y)) = K(x,y / z). [para(1959(a,2),4596(a,1,2))]. 4601 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2379(a,2),4596(a,1,2))]. 4604 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3429(a,2),4596(a,1,2))]. 4609 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(66,a,1314,a,b,4599,a)]. 4610 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3612(a,1),4599(a,1,2))]. 4611 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(282(a,2),4601(a,1,2))]. 4612 K(x,T(L(1 / y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u) \ 1,w)). [para(2604(a,1),4601(a,1,2,1,1)),flip(a)]. 4613 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(3423(a,1),4601(a,1,2,1)),flip(a)]. 4614 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(66,a,3072,a,b,4610,a)]. 4615 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4320(a,1),4613(a,1,2)),flip(a)]. 4616 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4609(a,1,1,2))]. 4617 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3968(a,1),4594(a,1,1,2,1))]. 4618 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(90(a,1),4373(a,2,1,2))]. 4619 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(66,a,1088,a(flip),b,4256,a),flip(a)]. 4620 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2415(a,1),4619(a,1,1)),flip(a)]. 4621 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(123,a,4620,a(flip),b,1088,a)]. 4623 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),4465(a,1,2))]. 4624 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(66,a,4588,a(flip),b,4623,a),flip(a)]. 4625 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4348,a),flip(a)]. 4627 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3860(a,1),4614(a,1,2)),flip(a)]. 4628 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1154(a,1),4333(a,1,1))]. 4629 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1174(a,1),4628(a,1,2))]. 4630 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(647,a,4629,a),flip(a)]. 4631 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4529,a,b,4630,a)]. 4632 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4105(a,1),4631(a,1,1))]. 4633 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3027(a,1),4616(a,1,2,1,2))]. 4634 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4633(a,1,2,1))]. 4635 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3027(a,1),4634(a,2,1,2))]. 4636 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(116(a,1),4635(a,2,1))]. 4637 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(66,a,2210,a(flip),b,4636,a)]. 4638 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1880(a,1),4637(a,1,1,2))]. 4639 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(87(a,1),4638(a,1,1,2,2))]. 4640 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3025(a,2),4638(a,1,1))]. 4641 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(17(a,1),4640(a,2,1))]. 4642 K(K(x \ 1,x) * y,x) = K(y,x). [para(3008(a,1),4641(a,1,1))]. 4643 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(2621(a,1),4642(a,1,1,1))]. 4644 K(K(x,x \ 1) * y,x) = K(y,x). [para(2847(a,1),4642(a,1,1)),flip(a)]. 4645 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2915(a,1),4642(a,1,1))]. 4646 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2249(a,2),4644(a,1,1))]. 4647 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3001(a,1),4645(a,1,1))]. 4648 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2974(a,1),4643(a,1,1)),flip(a)]. 4649 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2947(a,1),4646(a,1,1,1))]. 4650 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(66,a,920,a,b,4647,a)]. 4651 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4598,a,b,4648,a)]. 4652 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(66,a,4627,a,b,4650,a),flip(a)]. 4653 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(285,a,4343,a(flip),b,4652,a),flip(a)]. 4654 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(285,a,4596,a(flip),b,4653,a),flip(a)]. 4655 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(66,a,4647,a,b,4654,a)]. 4656 K((x \ 1) * y,x) = K(x \ y,x). [para(14(a,1),4654(a,1,1,2)),flip(a)]. 4657 K((1 / x) * y,x) = K(x \ y,x). [para(14(a,1),4655(a,1,1,2)),flip(a)]. 4658 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4651,a(flip),b,4657,a),flip(a)]. 4659 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(27(a,2),4657(a,2,1))]. 4660 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(87(a,1),4657(a,1,1,1)),flip(a)]. 4661 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(890(a,1),4659(a,1,1))]. 4662 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(66,a,4649,a(flip),b,4661,a)]. 4663 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4662(a,1),4444(a,1,1))]. 4664 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4455,a,4663,a),flip(a)]. 4665 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(66,a,3122,a(flip),b,4664,a),flip(a)]. 4666 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2933(a,2),4664(a,1,2,1)),flip(a)]. 4667 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3342(a,1),3416(a,1,2)),flip(a)]. 4668 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(285,a,3379,a(flip),b,4667,a),flip(a)]. 4670 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(4668(a,1),3438(a,1,2)),flip(a)]. 4671 1 / (K(x,y) \ y) = K(x,y) / y. [para(1266(a,2),4670(a,1,1)),flip(a)]. 4672 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(180,a,4671,a)]. 4673 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),3049(a,1,1))]. 4674 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),4673(a,1,2,3))]. 4675 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2754(a,1),4674(a,1,2)),flip(a)]. 4676 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3045(a,1),4675(a,1,1))]. 4677 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1927(a,1),4676(a,1,2))]. 4678 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2437(a,1),4676(a,1,1)),flip(a)]. 4679 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(66,a,3035,a(flip),b,4677,a),flip(a)]. 4680 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(285,a,3099,a(flip),b,4679,a),flip(a)]. 4681 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(285,a,2712,a(flip),b,4680,a),flip(a)]. 4682 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(66,a,4681,a(flip),b,4678,a)]. 4683 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1927(a,1),4682(a,2,2))]. 4684 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(285,a,3035,a(flip),b,4683,a),flip(a)]. 4685 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(285,a,3375,a(flip),b,4684,a),flip(a)]. 4686 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3252(a,1),4685(a,1,1))]. 4687 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(66,a,3506,a(flip),b,4686,a)]. 4688 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(4687(a,1),835(a,1,1))]. 4689 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(66,a,457,a(flip),b,4688,a),flip(a)]. 4690 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(285,a,21,a,b,4689,a)]. 4691 L(K(x,y),y \ 1,y) = K(x,y). [para(21(a,2),4690(a,2,1)),flip(a)]. 4692 (1 / x) * K(y,x) = K(y,x) / x. [para(4691(a,1),3499(a,1,1)),flip(a)]. 4693 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(122,a,4692,a(flip),b,2085,a)]. 4695 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(90(a,1),3115(a,1,1,3))]. 4696 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2712(a,1),4695(a,1,1))]. 4697 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3760(a,1),4696(a,1,1)),flip(a)]. 4698 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(12(a,1),4697(a,2,1,1,2))]. 4699 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(90(a,1),4698(a,2,2))]. 4700 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3926(a,1),4699(a,1,1))]. 4701 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4700(a,1),46(a,1))]. 4702 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4165(a,1),4087(a,1,1,2)),flip(a)]. 4703 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(285,a,2775,a(flip),b,4702,a),flip(a)]. 4704 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4082(a,1),4703(a,1,3))]. 4705 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(90(a,1),4089(a,1,1,2))]. 4706 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(30(a,2),4705(a,1,1))]. 4707 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4706(a,1,1))]. 4708 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(90(a,1),4707(a,1,2,2,2))]. 4709 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(30(a,2),4708(a,1,2,2))]. 4710 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4709(a,1,2,2))]. 4711 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(14(a,1),4710(a,1,2))]. 4713 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ T(1,y)) \ 1) / T(y,1). [para(188(a,1),4175(a,2,1,2,2))]. 4714 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ 1) \ 1) / T(y,1). [para(188(a,1),4713(a,2,1,3,1,2))]. 4717 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / T(y,1). [para(2969(a,1),4714(a,2,1))]. 4718 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(186(a,1),4717(a,2,2))]. 4719 L(x / ((y \ 1) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4718(a,1,1,2,1,2))]. 4720 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4719(a,1,2,1,2))]. 4722 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) = L(x,y \ 1,y) / y. [para(188(a,1),4720(a,1,3,2))]. 4725 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3285(a,2),3302(a,2,2,2))]. 4726 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4725(a,1,1))]. 4727 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4726(a,1,2,1,3))]. 4728 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3962(a,1),4727(a,1,2,1))]. 4729 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),1259(a,1,2,2,1,1))]. 4730 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),4729(a,1,2,2,2))]. 4731 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),L(z,y,x)). [para(23(a,2),4730(a,2,2))]. 4732 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(17(a,1),2462(a,1,2,1))]. 4733 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(85(a,1),4732(a,1,2))]. 4735 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(311,a,4733,a),flip(a)]. 4738 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2556(a,1),4735(a,1,1))]. 4739 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(597(a,1),3501(a,1,1)),flip(a)]. 4740 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(597(a,1),4265(a,1,1,2))]. 4741 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(66,a,4276,a(flip),b,4740,a),flip(a)]. 4742 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(90(a,1),4739(a,1,2,1,1,1))]. 4743 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(37,a,2942,a,b,4742,a)]. 4744 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(123,a,3483,a(flip),b,4742,a(flip))]. 4745 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(124,a,4743,a(flip),b,2920,a)]. 4746 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4578(a,1),4744(a,1,2))]. 4747 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4746(a,1),288(a,1,1)),flip(a)]. 4748 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4745(a,1),3396(a,1,2))]. 4749 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(447,a,4748,a),flip(a)]. 4751 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(66,a,3668,a(flip),b,4749,a),flip(a)]. 4752 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(66,a,105,a(flip),b,4751,a),flip(a)]. 4753 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(4592,a,4752,a)]. 4755 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4753(a,1),3556(a,2,2))]. 4756 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(285,a,4747,a(flip),b,4755,a),flip(a)]. 4758 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(66,a,3884,a(flip),b,4756,a)]. 4759 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(209(a,1),4756(a,1,1,2,2))]. 4760 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4759(a,2),46(a,1))]. 4762 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,4758,a),flip(a)]. 4764 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4762(a,1),2988(a,1,2))]. 4765 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4764(a,1),3907(a,1,2)),flip(a)]. 4767 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(285,a,2841,a(flip),b,4765,a),flip(a)]. 4771 R(x,K(y \ 1,y),z) = x. [para(15(a,1),4767(a,1,3))]. 4775 R(x,y,K(z \ 1,z)) = x. [hyper(66,a,3878,a(flip),b,4771,a)]. 4776 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4771(a,1),112(a,1,1)),flip(a)]. 4782 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(66,a,3706,a(flip),b,4775,a)]. 4783 R(x,y,K(z \ 1,z)) != u | u = x. [para(4775(a,1),54(a,1)),flip(a)]. 4784 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4775(a,1),112(a,1,1)),flip(a)]. 4785 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4775(a,1),462(a,1,1))]. 4787 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4775(a,1),474(a,1,1)),flip(a),flip(b)]. 4788 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4775(a,1),498(a,1,1))]. 4789 R(x,y,K(z,z \ 1)) = x. [para(1904(a,1),4775(a,1,3))]. 4790 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4775(a,1),2428(a,1,1))]. 4791 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3531,a,4789,a)]. 4795 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(66,a,3696,a(flip),b,4789,a),flip(a)]. 4796 R(x,y,K(z,z \ 1)) != u | x = u. [para(4789(a,1),54(a,2))]. 4797 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4789(a,1),112(a,1,1)),flip(a)]. 4799 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4789(a,1),2421(a,1,1))]. 4802 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(87(a,1),4791(a,1,3)),flip(a)]. 4803 R(x,y,1 / (1 / z)) = R(x,y,z). [para(90(a,1),4791(a,2,3))]. 4806 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2255(a,1),4795(a,1,2))]. 4807 T(x,K(y,y \ 1) * z) = T(x,z). [para(2398(a,2),4795(a,1,2))]. 4808 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2617(a,1),4795(a,1,2))]. 4809 T(x,K(y \ 1,y) * z) = T(x,z). [para(2839(a,1),4795(a,1,2)),flip(a)]. 4810 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2849(a,1),4795(a,1,2)),flip(a)]. 4811 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2887(a,1),4795(a,1,2))]. 4813 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2950(a,1),4795(a,1,2))]. 4814 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2977(a,1),4795(a,1,2)),flip(a)]. 4815 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3312(a,1),4795(a,1,2))]. 4816 T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). [para(3704(a,1),4795(a,1,2))]. 4818 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4802(a,1),112(a,1,1))]. 4820 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2909(a,1),4807(a,1,2)),flip(a)]. 4821 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2974(a,1),4807(a,1,2)),flip(a)]. 4822 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4807(a,1),4105(a,1,2))]. 4825 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4808(a,1),4584(a,1,2))]. 4826 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4810(a,1),4504(a,1,2,1))]. 4827 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(285,a,4317,a(flip),b,4813,a),flip(a)]. 4828 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(66,a,4320,a(flip),b,4813,a),flip(a)]. 4829 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3224(a,1),4813(a,2,2))]. 4830 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(66,a,640,a(flip),b,4820,a),flip(a)]. 4831 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2933(a,2),4820(a,1,2,1))]. 4832 x / T(1 / y,y * x) = (1 / y) \ x. [para(4821(a,1),4219(a,1,2))]. 4833 K((x \ 1) * y,x \ y) = 1. [hyper(58,a,4830,a)]. 4834 T(1 / x,x * y) = ((1 / x) \ y) \ y. [hyper(180,a,4832,a),flip(a)]. 4835 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4834(a,1),686(a,1,1))]. 4836 R(((1 / x) \ y) \ y,x,y) != z \ y | x * y = z. [para(4835(a,2),51(a,1))]. 4837 R((x * ((1 / y) * (y / x))) \ x,(1 / y) * (y / x),x) = (((1 / y) * (y / x)) * x) \ x. [para(2782(a,1),4835(a,1,1,1))]. 4839 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(66,a,3657,a(flip),b,4776,a)]. 4840 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3737,a,4782,a),flip(a)]. 4842 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2409(a,2),4782(a,1,2))]. 4843 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2863,a,4784,a)]. 4844 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2416,a,4784,a)]. 4846 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(4784(a,1),2411(a,2)),flip(b)]. 4847 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4784(a,1),3657(a,1,1))]. 4848 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4784(a,1),3699(a,1,1))]. 4849 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4784(a,1),4782(a,1,2))]. 4850 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1103(a,1),4785(a,1,2)),flip(a)]. 4851 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2863,a,4850,a)]. 4852 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2416,a,4850,a)]. 4853 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3729(a,1),4850(a,1,2))]. 4854 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4851(a,1),4807(a,1,2))]. 4855 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [hyper(124,a,4854,a(flip),b,27,a(flip))]. 4856 T(x,x \ (y \ 1)) * (x \ (1 / y)) = x * ((1 / y) / x). [para(4854(a,1),3968(a,1,1))]. 4858 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(285,a,2409,a,b,4790,a),flip(a)]. 4859 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(66,a,3698,a,b,4790,a)]. 4861 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(445,a,4797,a)]. 4864 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,3127,a,b,4861,a)]. 4867 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(285,a,2398,a,b,4799,a),flip(a)]. 4869 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2862,a,4839,a)]. 4870 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(380,a,4839,a),flip(a)]. 4874 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4839(a,1),4790(a,1,2))]. 4875 K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z. [para(4870(a,1),3646(a,1,1)),flip(a)]. 4876 L(x,y,z \ K(u \ 1,u)) = L(x,y,z \ 1). [para(4870(a,1),3911(a,1,3))]. 4877 K(x \ 1,x) * (y * (z \ 1)) = y * (z \ K(x \ 1,x)). [para(4870(a,1),4839(a,2,2))]. 4878 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2646(a,1),4843(a,1,2,2))]. 4879 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2685(a,1),4843(a,1,2,2))]. 4880 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2854(a,1),4843(a,1,2,2))]. 4881 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2941(a,1),4843(a,1,2,2))]. 4882 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4844(a,1),456(a,1,1))]. 4883 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(66,a,3698,a,b,4858,a)]. 4884 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(66,a,3716,a(flip),b,4858,a),flip(a)]. 4885 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4858(a,2),2412(a,1))]. 4886 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2654(a,1),4858(a,1,2)),flip(a)]. 4887 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(2861(a,1),4859(a,1,1)),flip(a)]. 4888 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2975(a,1),4859(a,1,1)),flip(a)]. 4889 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3639(a,1),4859(a,1,1)),flip(a)]. 4890 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2398(a,1),4867(a,1,2))]. 4891 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(66,a,3634,a,b,4880,a)]. 4893 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2830(a,1),4883(a,1,1)),flip(a)]. 4894 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2888(a,1),4883(a,1,1)),flip(a)]. 4895 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3754(a,1),4883(a,1,1)),flip(a)]. 4896 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(23(a,2),4890(a,2,2))]. 4897 L(x,K(y,y \ 1),z) = x. [hyper(445,a,4891,a)]. 4899 a(x,K(y,y \ 1),z) = 1. [hyper(56,a,4897,a)]. 4900 L(x,y * (1 / y),z) = x. [para(1903(a,1),4897(a,1,2))]. 4902 L(x,y * (1 / y),z) != u | u = x. [para(4900(a,1),53(a,1)),flip(a)]. 4903 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(66,a,3739,a,b,4822,a)]. 4904 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(66,a,4517,a,b,4826,a)]. 4905 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(124,a,4826,a(flip),b,4517,a),flip(a)]. 4906 (x \ T(x * (y / x),z)) * x = T(y,z). [hyper(136,a,4904,a(flip))]. 4907 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4904(a,1,2,1,2)),flip(a)]. 4908 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(87(a,1),4904(a,1,2,1,2))]. 4911 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4338(a,1),4904(a,1,2,1))]. 4912 x * (T(y * x,z) / x) = T(x * y,z). [para(16(a,1),4905(a,1,1,2)),flip(a)]. 4913 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(87(a,1),4905(a,1,1,2)),flip(a)]. 4914 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(118(a,1),4905(a,2,2,1))]. 4918 T(x * (y / x),K(z,y)) = x * (y / x). [para(3185(a,1),4905(a,2,2,1))]. 4919 T(x * (y / x),K(y,z)) = x * (y / x). [para(3348(a,1),4905(a,2,2,1))]. 4920 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4123(a,1),4905(a,2,2,1))]. 4921 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4905(a,2),4021(a,1,1,2))]. 4922 (x \ T(x * y,z)) * x = T(y * x,z). [para(16(a,1),4906(a,1,1,2,1,2))]. 4923 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(900,a,4907,a)]. 4926 T((x \ y) * x,z) / x = x \ T(y,z). [para(15(a,1),4907(a,2,2,1))]. 4927 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4907(a,1),118(a,1,1))]. 4929 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(4599(a,1),4918(a,1,2))]. 4930 T(K(x,y),z * (x / z)) = K(x,y). [hyper(57,a,4919,a)]. 4932 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(15(a,1),4922(a,1,1,2,1)),flip(a)]. 4935 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4926(a,1),236(a,1,1)),flip(b)]. 4938 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(285,a,3898,a,b,4932,a)]. 4940 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [hyper(124,a,4932,a(flip),b,27,a(flip))]. 4941 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4932(a,2),47(a,1))]. 4942 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(118(a,1),4932(a,2,1,2))]. 4943 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4932(a,2),98(a,1,1))]. 4946 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [hyper(124,a,4914,a(flip),b,27,a(flip)),flip(a)]. 4947 x * (y * ((x \ z) / y)) != u | (y * ((z / x) / y)) * x = u. [para(4914(a,1),263(a,1,2))]. 4949 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(66,a,3902,a(flip),b,4940,a),flip(a)]. 4950 T(1 / x,(y \ x) * y) = x \ 1. [hyper(224,a,3902,a(flip),b,4940,a(flip))]. 4952 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(118(a,1),4940(a,1,2,1,2)),flip(a)]. 4953 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(117(a,1),4940(a,1,2,1,2))]. 4954 T(1 / (x * y),y * x) = (x * y) \ 1. [para(14(a,1),4950(a,1,2,1))]. 4955 (1 / (x * y)) * (y * x) = (y * x) * ((x * y) \ 1). [hyper(124,a,4954,a(flip),b,27,a(flip)),flip(a)]. 4957 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(254,a,4942,a)]. 4958 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (1 / x),y)) * x. [para(4942(a,1),921(a,1,2))]. 4959 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3213(a,1),4935(a,1,1,2))]. 4961 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [hyper(124,a,1034,a(flip),b,4908,a),flip(a)]. 4962 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4566(a,1),4911(a,1,1))]. 4963 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4913(a,1),304(a,1,2)),flip(b)]. 4964 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(285,a,4905,a,b,4920,a),flip(a)]. 4965 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(124,a,414,a(flip),b,4923,a(flip)),flip(a)]. 4966 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(123,a,4923,a(flip),b,1351,a),flip(a)]. 4967 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(14(a,1),4946(a,2,2,2,1))]. 4968 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(203(a,2),4946(a,2,2,2,1))]. 4969 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(66,a,4700,a(flip),b,4949,a),flip(a)]. 4970 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(285,a,4581,a(flip),b,4969,a),flip(a)]. 4971 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4970(a,1),3904(a,2,2))]. 4972 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1693,a,4952,a),flip(a)]. 4973 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(66,a,464,a,b,4952,a)]. 4974 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(116(a,2),4952(a,2,2)),flip(a)]. 4975 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(205(a,2),4952(a,1,1,1,2))]. 4976 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(14(a,1),4957(a,1,1,2,1,2))]. 4977 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(66,a,4304,a,b,4964,a)]. 4978 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4965(a,2,2,2))]. 4980 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(66,a,4194,a(flip),b,4976,a),flip(a)]. 4981 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3022(a,1),4829(a,1,2))]. 4983 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) = K(y \ 1,y). [hyper(195,a,4875,a)]. 4984 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) != z | K(y \ 1,y) = z. [para(4875(a,1),195(a,1)),flip(b)]. 4985 ((K(x \ 1,x) / y) \ 1) \ 1 = y \ K(x \ 1,x). [hyper(318,a,4983,a),flip(a)]. 4986 (K(x \ 1,x) / y) \ 1 = K(x,x \ 1) * y. [hyper(42,a,3733,a,b,4985,a),flip(a)]. 4987 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ K(z \ 1,z)). [para(4985(a,1),3668(a,1,3)),flip(a)]. 4988 (K(x \ 1,x) / (y * x)) * (y * ((x \ 1) \ 1)) = 1. [hyper(124,a,2830,a(flip),b,4986,a)]. 4989 L(x,(y * ((z \ 1) \ 1)) / x,K(z \ 1,z) / (y * z)) = ((K(z \ 1,z) / (y * z)) * ((y * ((z \ 1) \ 1)) / x)) \ 1. [para(4988(a,1),107(a,2,2))]. 4990 (K(x \ 1,x) / y) * (z \ 1) = (1 / y) * (z \ K(x \ 1,x)). [hyper(66,a,3713,a(flip),b,4877,a)]. 4991 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4881(a,1),4807(a,1,2)),flip(a)]. 4992 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(87(a,1),4991(a,1,2,2,1)),flip(a)]. 4993 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3646(a,1),4991(a,1,2)),flip(a)]. 4994 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4887(a,1),3933(a,1,1)),flip(a)]. 4995 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2863,a,4888,a)]. 4996 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4889(a,1),4844(a,2,2))]. 4997 T(x,y * (((((1 / z) \ 1) * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(4889(a,2),4992(a,1,2,2,1,1))]. 4998 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(4893(a,1),4809(a,1,2))]. 4999 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(90(a,1),4998(a,1,2,1,2,1)),flip(a)]. 5000 T(x,((y \ 1) * y) \ z) = T(x,z). [para(161(a,1),4998(a,1,2)),flip(a)]. 5001 T((x \ y) * x,y \ 1) != z * ((x \ y) * x) | K(y,y \ 1) = z. [para(4938(a,1),47(a,1))]. 5002 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(66,a,830,a,b,4974,a)]. 5003 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ 1). [hyper(285,a,4876,a(flip),b,4987,a),flip(a)]. 5005 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4818(a,1),47(a,1))]. 5008 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4827(a,1),4615(a,1,2)),flip(a)]. 5009 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(123,a,4847,a(flip),b,112,a)]. 5010 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(66,a,3726,a(flip),b,4848,a),flip(a)]. 5011 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(124,a,4849,a,b,2857,a)]. 5012 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(66,a,2941,a(flip),b,4853,a)]. 5013 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(285,a,3139,a(flip),b,5012,a),flip(a)]. 5015 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4874(a,1),2450(a,1))]. 5016 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(66,a,4799,a(flip),b,4903,a)]. 5017 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4978(a,1,1,2,2))]. 5019 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(5017(a,2),46(a,1))]. 5020 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2850(a,1),5011(a,1,2,2)),flip(a)]. 5021 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2398(a,1),5020(a,1,2))]. 5022 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4113(a,1),5016(a,1,1)),flip(a)]. 5023 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(285,a,2398,a,b,5022,a),flip(a)]. 5026 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5023(a,2),46(a,1))]. 5028 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,4617,a(flip),b,4921,a),flip(a)]. 5029 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),4788(a,1,2))]. 5030 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),4896(a,1,2))]. 5031 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3759(a,1),4973(a,1,1))]. 5032 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),5029(a,1,2,2))]. 5033 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),5030(a,1,2,2))]. 5034 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(447,a,5032,a)]. 5035 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(285,a,2409,a,b,5034,a),flip(a)]. 5036 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2409(a,2),5035(a,1,1))]. 5037 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(447,a,5033,a)]. 5038 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(285,a,2398,a(flip),b,5037,a),flip(a)]. 5039 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1963(a,1),5037(a,1,1)),flip(a)]. 5040 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5037(a,2),2982(a,1,2))]. 5041 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(66,a,2101,a(flip),b,5039,a)]. 5042 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(117(a,1),5041(a,2,1))]. 5043 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(128,a,5042,a)]. 5044 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(66,a,1978,a,b,5043,a)]. 5045 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2167,a,5044,a)]. 5046 L(x,y,z) / x = x \ L(x,y,z). [hyper(135,a,5045,a)]. 5047 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(128,a,5045,a)]. 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5047(a,1),419(a,1,2,1)),flip(a)]. 5053 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1889(a,1),5038(a,1,1)),flip(a)]. 5054 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5038(a,2,2))]. 5055 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5053(a,1),3681(a,1,1))]. 5056 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(122,a,5052,a(flip),b,996,a)]. 5057 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(243(a,2),4966(a,2,1,2,1,2))]. 5058 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2977(a,1),5040(a,1,2,1))]. 5059 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(66,a,947,a(flip),b,5058,a),flip(a)]. 5060 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(136,a,5059,a)]. 5061 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(17(a,1),5059(a,1,1,1)),flip(a)]. 5062 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(15(a,1),5060(a,1,1,2,1)),flip(a)]. 5063 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(138,a,5061,a),flip(a)]. 5064 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5062(a,1),30(a,2,1))]. 5065 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(452(a,1),5062(a,2,1,2))]. 5066 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(453(a,1),5062(a,2,1,2))]. 5067 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1880(a,1),5063(a,2,2,1))]. 5068 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(285,a,4929,a,b,5067,a)]. 5069 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(15(a,1),5065(a,2,1,2))]. 5070 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(66,a,4971,a(flip),b,5066,a),flip(a)]. 5071 x * (y \ (x / (x / y))) = (y \ x) * y. [para(160(a,1),5070(a,1,1,2)),flip(a)]. 5072 x \ (y / (y / x)) = K(x \ y,x). [hyper(37,a,271,a,b,5071,a),flip(a)]. 5073 x / (x / y) = y * K(y \ x,y). [hyper(138,a,5072,a),flip(a)]. 5074 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [hyper(124,a,4558,a(flip),b,5072,a),flip(a)]. 5075 (x * y) / ((x * y) / x) = x * K(y,x). [hyper(124,a,625,a(flip),b,5072,a),flip(a)]. 5076 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(66,a,4970,a,b,5072,a)]. 5077 ((x \ y) * x) / y = K(x \ y,x). [hyper(66,a,4581,a,b,5072,a)]. 5078 x / (y * (x / y)) = K(y \ x,y). [hyper(66,a,4261,a,b,5072,a)]. 5082 (x / y) * K(y \ x,y) = y \ x. [hyper(124,a,5072,a(flip),b,3800,a)]. 5083 (1 / x) \ K(y \ x,y) = (y \ x) * y. [hyper(122,a,5072,a(flip),b,4970,a)]. 5085 T(K(x \ y,x),y) = K(x \ y,x). [para(5072(a,1),4043(a,1,1))]. 5087 (x * K(x \ y,x)) \ y = y / x. [hyper(180,a,5073,a)]. 5091 (x * y) * K((x * y) \ y,x * y) = y / R(1 / x,x,y). [para(205(a,2),5073(a,1,2)),flip(a)]. 5093 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(404(a,1),5073(a,2,2,1))]. 5096 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5073(a,1),596(a,1,1,1))]. 5097 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5073(a,1),4273(a,1,1))]. 5098 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5073(a,2),4409(a,1,1))]. 5101 K(x \ y,x) * y = (x \ y) * x. [hyper(136,a,5077,a)]. 5102 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(66,a,4700,a,b,5077,a)]. 5104 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(5077(a,1),2836(a,1,1))]. 5106 K(x \ y,x) * (x * (y / x)) = y. [hyper(136,a,5078,a)]. 5107 K(x \ 1,x) * K(y \ (1 / x),y) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),3676(a,1,2))]. 5108 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5078(a,1),4906(a,1,1,2,1,2))]. 5110 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4658(a,1),5082(a,1,2))]. 5111 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(285,a,5077,a,b,5085,a)]. 5113 (x * ((y \ z) * y)) * a(x,K(y \ z,y),z) = (x * K(y \ z,y)) * z. [para(5101(a,1),93(a,1,1,2))]. 5114 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5101(a,1),2182(a,2,2))]. 5115 K(x \ y,x) * (y / x) = x \ y. [hyper(122,a,5106,a(flip),b,4427,a(flip)),flip(a)]. 5119 K(x,y) = T(y,x) \ y. [hyper(3836,a,5075,a),flip(a)]. 5120 K(x,y) = (x * y) / (y * x). [hyper(285,a,4034,a,b,5119,a),flip(a)]. 5121 K(x,y) = ((y * x) / y) \ x. [hyper(285,a,3779,a,b,5119,a),flip(a)]. 5122 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(285,a,3252,a,b,5119,a),flip(a)]. 5123 K(x,y) = y / T(y,x). [hyper(285,a,3170,a,b,5119,a),flip(a)]. 5124 K(x,y) = y * (T(y,x) \ 1). [hyper(285,a,1000,a,b,5119,a),flip(a)]. 5125 K(x,y) = x \ T(x,y). [hyper(285,a,4101,a(flip),b,5119,a),flip(a)]. 5126 x * T(x \ 1,y) = K(x \ 1,y). [hyper(285,a,4092,a(flip),b,5119,a)]. 5128 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(124,a,5119,a,b,3252,a)]. 5129 x / (x / y) = y * K(x / y,y). [hyper(124,a,5119,a,b,4102,a(flip)),flip(a)]. 5130 T(x,y) = x * K(x,y). [hyper(124,a,5119,a,b,4101,a(flip)),flip(a)]. 5131 T(x,y) * K(y,x) = x. [hyper(124,a,5119,a,b,xx)]. 5132 K(x,y) / y = 1 / T(y,x). [hyper(123,a,5119,a,b,3169,a)]. 5133 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(122,a,5119,a,b,2437,a)]. 5134 T(x,y) \ 1 = x \ K(y,x). [hyper(122,a,5119,a,b,1000,a),flip(a)]. 5135 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(122,a,5119,a,b,4092,a(flip))]. 5136 T(x,y) = x / K(y,x). [hyper(185,a,5119,a(flip)),flip(a)]. 5137 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(32(a,2),5119(a,2,1)),flip(a)]. 5138 K(x,y) != z \ y | T(y,x) = z. [para(5119(a,2),51(a,1))]. 5142 T(x,y) = K(y,x) \ x. [para(5119(a,2),3168(a,1,1)),flip(a)]. 5143 K(x,y) * T(y,x) = y. [para(5119(a,2),3171(a,1,1))]. 5144 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5119(a,2),3393(a,1,1))]. 5145 K(x,y) * ((y * x) / y) = x. [para(5119(a,2),3775(a,1,1))]. 5146 K(x,y) * (y * x) = x * y. [para(5119(a,2),4032(a,1,1))]. 5148 K(x,y) = T(y,T(x,y)) \ y. [para(4105(a,2),5119(a,2,1))]. 5149 (x * y) / x = y * K(x,y). [para(5119(a,2),4104(a,2,2))]. 5150 T(x * K(y,x),y) = x. [para(5119(a,2),4198(a,1,1,2))]. 5152 x * (K(x,y) * z) = T(x,y) * z. [para(5119(a,2),4107(a,1,2,1))]. 5153 T(x,y) * (x \ z) = K(x,y) * z. [para(5119(a,2),4108(a,2,1))]. 5154 K(x / y,z) * x = y * T(y \ x,z). [para(5119(a,2),4262(a,1,1))]. 5156 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5119(a,2),4099(a,1,2)),flip(a)]. 5157 x * (T(x,y) \ z) = K(y,x) * z. [para(5119(a,2),4498(a,1,1)),flip(a)]. 5158 K(x,y) * (T(y,x) * z) = y * z. [para(5119(a,2),4499(a,1,1))]. 5159 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(28(a,1),5123(a,2,2)),flip(a)]. 5160 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(30(a,2),5123(a,2,2)),flip(a)]. 5161 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(32(a,2),5123(a,2,2)),flip(a)]. 5162 K(x,y) \ y != z | T(y,x) = z. [para(5123(a,2),307(a,1,1)),flip(b)]. 5164 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(285,a,3854,a,b,5125,a)]. 5166 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(285,a,3773,a,b,5125,a)]. 5167 K(x,y) = y \ ((x * y) / x). [hyper(285,a,3768,a,b,5125,a),flip(a)]. 5168 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(285,a,3269,a,b,5125,a),flip(a)]. 5169 K(x,y) = T(x,y) / x. [hyper(285,a,3266,a,b,5125,a),flip(a)]. 5170 K(x,y) = T(x,y) * (x \ 1). [hyper(285,a,886,a,b,5125,a),flip(a)]. 5171 x * T(x \ 1,y) = K(1 / x,y). [hyper(285,a,891,a(flip),b,5125,a)]. 5174 T(x,y) \ K(x,y) = x \ 1. [hyper(122,a,5125,a,b,886,a)]. 5177 (1 / x) * K(x \ 1,y) = T(1 / x,y). [hyper(124,a,3339,a(flip),b,5125,a(flip))]. 5178 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(30(a,2),5125(a,2,2)),flip(a)]. 5179 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(32(a,2),5125(a,2,2)),flip(a)]. 5180 x * K(x,y) != z | T(x,y) = z. [para(5125(a,2),240(a,1,2)),flip(b)]. 5185 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5125(a,2),1141(a,1,1))]. 5186 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1. [para(5125(a,2),1422(a,1,2))]. 5187 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5125(a,2),1804(a,1,2))]. 5188 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(2771(a,1),5125(a,2,2)),flip(a)]. 5189 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2788(a,1),5125(a,2,2))]. 5190 T(x,y) = K(x,y) * x. [para(5125(a,2),3267(a,1,1)),flip(a)]. 5191 (x * K(y,x)) * y = y * x. [para(5125(a,2),3765(a,1,1,2))]. 5192 (x * y) / x = K(x,y) * y. [para(5125(a,2),3772(a,1,1)),flip(a)]. 5193 (x \ y) * K(x,x \ y) = y / x. [para(5125(a,2),3767(a,1,2))]. 5196 x * (T(x,y) \ z) = K(x,y) \ z. [para(5125(a,2),3958(a,1,1)),flip(a)]. 5197 K(x,x \ y) * y = x * (y / x). [para(5125(a,2),4013(a,1,1))]. 5200 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4273(a,1),5125(a,2,2)),flip(a)]. 5201 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4303(a,2),5125(a,2,2)),flip(a)]. 5202 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(123,a,5130,a,b,93,a)]. 5203 (x * y) * K(x * y,T(y,x)) = T(x * y,y). [hyper(66,a,4180,a(flip),b,5130,a),flip(a)]. 5204 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,2773,a(flip),b,5130,a),flip(a)]. 5207 T(x,y) != x * z | K(x,y) = z. [para(5130(a,2),46(a,1))]. 5208 x \ T(x,y) != z | K(x,y) = z. [para(5130(a,2),304(a,1,2)),flip(b)]. 5209 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5130(a,2),113(a,2,1))]. 5212 (x * y) \ (x * T(y,z)) != u | L(K(y,z),y,x) = u. [para(5130(a,2),447(a,1,2,2))]. 5213 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5130(a,2),475(a,2,2))]. 5215 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5130(a,2),947(a,2,2,1))]. 5216 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5130(a,2),1152(a,1,2)),flip(a)]. 5217 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(5130(a,2),1245(a,1,2)),flip(a)]. 5218 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5130(a,1),3036(a,2,2))]. 5219 K(x,y) * (x * z) = T(x,y) * z. [para(5130(a,2),4071(a,1,1)),flip(a)]. 5220 x * (y * K(x,y)) = T(x,y) * y. [para(5130(a,2),4454(a,1,1)),flip(a)]. 5221 x * K(R(x,y,z),x) = x. [para(168(a,1),5131(a,1,1))]. 5223 T(x,y) \ x != z | K(y,x) = z. [para(5131(a,1),304(a,1,2)),flip(b)]. 5226 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(598(a,1),5131(a,1,1))]. 5227 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5131(a,1),2323(a,1,1,1)),flip(a)]. 5228 T(x,y) * (K(y,x) * z) = x * z. [para(5131(a,1),4419(a,1,1)),flip(a)]. 5230 T(x,y) != x / z | K(y,x) = z. [para(5136(a,2),48(a,1))]. 5231 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5136(a,2),1414(a,1,1)),flip(a)]. 5232 T(x,y) = (K(y,x) / x) \ 1. [hyper(285,a,4672,a,b,5142,a),flip(a)]. 5233 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(285,a,4260,a,b,5142,a)]. 5234 K(x,y / x) * (x \ y) = y / x. [hyper(124,a,118,a(flip),b,5142,a(flip))]. 5235 x / T(x,y) != z | K(y,x) = z. [para(5142(a,2),297(a,1,2)),flip(b)]. 5236 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5142(a,2),2315(a,1,2,1))]. 5237 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(728,a,5150,a),flip(a)]. 5238 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(426,a,5150,a)]. 5239 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(43,a,4114,a,b,5150,a)]. 5240 T(T(x * K(y,x),z),y) = T(x,z). [para(5150(a,1),28(a,1,1)),flip(a)]. 5241 (x * y) / x != z | y * K(x,y) = z. [para(5150(a,1),298(a,1,1,2)),flip(b)]. 5242 T(x * K(y,x),z) * y = y * T(x,z). [para(5150(a,1),221(a,1,2,1)),flip(a)]. 5243 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5150(a,1),252(a,1,1,2,1)),flip(a)]. 5244 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5150(a,1),222(a,1,2,1)),flip(a)]. 5245 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5150(a,1),223(a,1,2,1)),flip(a)]. 5246 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5150(a,1),662(a,1,1)),flip(a)]. 5248 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5150(a,1),415(a,1,2,1,1)),flip(a)]. 5249 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(5150(a,1),591(a,1,2,1,1)),flip(a)]. 5250 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5150(a,1),1509(a,1,1)),flip(a)]. 5251 T(K(x,y) * y,x) = y. [para(3186(a,2),5150(a,1,1))]. 5252 T(x \ K(y,x \ 1),y) = x \ 1. [para(3224(a,1),5150(a,1,1))]. 5253 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5150(a,1),4547(a,1,3)),flip(a)]. 5254 K(x,y) = (1 / x) * T(x,y). [hyper(285,a,903,a,b,5169,a),flip(a)]. 5255 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(123,a,5169,a,b,898,a),flip(a)]. 5256 T(x,y) = (1 / x) \ K(x,y). [hyper(122,a,5169,a,b,903,a),flip(a)]. 5258 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(32(a,2),5169(a,2,1)),flip(a)]. 5259 K(x,y) * x != z | T(x,y) = z. [para(5169(a,2),236(a,1,1)),flip(b)]. 5265 K((x \ y) * x,y \ 1) = K(y,y \ 1). [hyper(5001,a,5190,a),flip(a)]. 5266 K(x,x \ y) * x = T(x,y / x). [hyper(4223,a,5190,a),flip(a)]. 5268 K(x / y,y) * (x / y) = y \ x. [hyper(630,a,5190,a),flip(a)]. 5269 T(x,y) / (y \ x) = y * K(x,y). [hyper(123,a,5190,a,b,4425,a)]. 5271 K(x,y) * (y \ x) = y \ T(x,y). [hyper(122,a,5190,a,b,4428,a),flip(a)]. 5272 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(66,a,30,a,b,5190,a),flip(a)]. 5273 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(66,a,28,a,b,5190,a),flip(a)]. 5274 x * (K(y,x) * y) = y * x. [hyper(124,a,5190,a(flip),b,27,a(flip))]. 5279 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5190(a,2),216(a,1,1))]. 5280 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5190(a,2),499(a,1,1))]. 5281 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5190(a,2),447(a,1,2,2))]. 5282 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5190(a,2),475(a,2,2))]. 5283 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5190(a,2),563(a,1,2))]. 5284 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5190(a,2),644(a,1,1))]. 5285 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5190(a,2),646(a,1,1))]. 5286 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5190(a,2),1505(a,2,1,1))]. 5287 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5190(a,2),1628(a,1,1))]. 5289 K(R(x,y,z),x) = 1. [hyper(126,a,5221,a),flip(a)]. 5291 T(x * y,K(y,x)) = x * y. [hyper(382,a,5120,a(flip))]. 5292 x / ((y \ x) * y) = K(y,y \ x). [para(15(a,1),5120(a,2,1)),flip(a)]. 5293 K(x,y) * (y * x) = (x * y) * 1. [para(5120(a,2),157(a,1,1))]. 5294 K(x,x \ y) * ((x \ y) * x) = y. [para(5120(a,2),92(a,1,1))]. 5296 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5120(a,2),837(a,1,1,1))]. 5297 K(x,y) != z | T(y,x) \ y = z. [para(5120(a,2),4036(a,1))]. 5298 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5124(a,2),104(a,1,2,2)),flip(a)]. 5300 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5132(a,2),2381(a,1,2)),flip(a)]. 5301 K(x,y) \ (1 / T(y,x)) = 1 / y. [para(5132(a,1),4693(a,1,2))]. 5302 T(x,y) = 1 / (x \ K(y,x)). [hyper(185,a,5134,a),flip(a)]. 5303 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(117(a,1),5134(a,1,1))]. 5304 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5134(a,1),297(a,1,2)),flip(b)]. 5306 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5134(a,1),1830(a,1,2,1))]. 5307 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5134(a,2),3495(a,2,1))]. 5309 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(103(a,1),5145(a,1,2,1))]. 5310 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(93(a,1),5145(a,1,2,1))]. 5312 K(x,y / x) * y = x * (y / x). [para(17(a,1),5146(a,1,2))]. 5313 x * (y * z) != z * y | K(z,y) = x. [para(5146(a,1),47(a,1)),flip(a)]. 5314 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),5146(a,1,2))]. 5315 (x * (y * x)) / (x * y) = x * K(y,x). [para(5146(a,1),4411(a,1,1,2))]. 5316 K(T(x,y),y) = K(x,y). [hyper(285,a,5119,a,b,5148,a)]. 5317 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5148(a,2),4728(a,1,1))]. 5318 K(x,y / x) = K(x,x \ y). [hyper(4471,a,5316,a)]. 5319 K(x,T(y,x)) = K(x,y). [hyper(4460,a,5316,a),flip(a)]. 5320 K(x,y) \ 1 = K(y,x). [hyper(66,a,4447,a(flip),b,5316,a)]. 5321 K(x,y) * K(y,x) = 1. [hyper(124,a,5316,a(flip),b,4447,a(flip))]. 5322 K(x \ (y * x),x) = K(y,x). [para(27(a,1),5316(a,1,1))]. 5323 K(x / y,y) = K(y \ x,y). [para(118(a,1),5316(a,1,1)),flip(a)]. 5325 K(T(x,x * y),y) = K(L(x,y,x),y). [para(664(a,1),5316(a,1,1))]. 5326 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(603(a,1),5316(a,1,1))]. 5327 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(726(a,1),5316(a,1,1)),flip(a)]. 5328 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(718(a,1),5316(a,1,1)),flip(a)]. 5329 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(981(a,1),5316(a,1,1)),flip(a)]. 5330 K(x \ (y * L(x,z,u)),x) = K((y / x) * L(x,z,u),x). [para(1568(a,1),5316(a,1,1))]. 5331 K(x,y) \ x = x * K(y,x). [para(5316(a,1),4457(a,1,2)),flip(a)]. 5332 K(x,y) \ 1 != z | K(y,x) = z. [para(5316(a,1),4455(a,1,1))]. 5333 L(x,K(y,z),K(z,y)) = x. [para(5316(a,1),4543(a,1,3))]. 5334 K(x,y) \ z = K(y,x) * z. [para(5316(a,1),4544(a,1,1)),flip(a)]. 5335 K(x * K(y,x),y) = K(x,y). [para(5150(a,1),5316(a,1,1)),flip(a)]. 5336 K(x,x \ (y * x)) = K(x,y). [para(27(a,1),5319(a,1,2))]. 5337 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(28(a,1),5319(a,1,2))]. 5338 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(30(a,2),5319(a,1,2))]. 5339 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(117(a,1),5319(a,1,2))]. 5340 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(231(a,1),5319(a,1,2)),flip(a)]. 5341 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(233(a,1),5319(a,1,2)),flip(a)]. 5342 K(x,y * K(x,y)) = K(x,y). [para(5150(a,1),5319(a,1,2)),flip(a)]. 5344 1 / K(x,y) = K(y,x). [hyper(185,a,5320,a)]. 5345 x / (x * K(y,x)) = K(x,y). [hyper(66,a,4545,a,b,5320,a)]. 5346 (x * K(y,x)) \ x = K(x,y). [hyper(66,a,3555,a,b,5320,a)]. 5347 K(x,y) != z \ 1 | K(y,x) = z. [para(5320(a,1),51(a,1))]. 5348 x * (K(y,z) * K(z,y)) = x. [para(5320(a,1),82(a,1,2,2))]. 5349 x * K(y,z) != 1 | K(z,y) = x. [para(5320(a,1),134(a,1,2)),flip(b)]. 5350 1 / K(x,y) != z | K(y,x) = z. [para(5320(a,1),297(a,1,2)),flip(b)]. 5355 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5320(a,1),1715(a,2,2,1))]. 5356 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5320(a,1),1744(a,1,1,2,2,1)),flip(a)]. 5357 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5320(a,1),1799(a,2,1,2,1))]. 5359 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5320(a,1),4426(a,2,2))]. 5360 K(x,y) * (K(y,x) * z) = z. [para(5320(a,1),4536(a,1,1))]. 5361 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(5320(a,1),4542(a,1,1))]. 5362 1 / (x \ K(x,y)) = x * K(y,x). [hyper(123,a,5321,a(flip),b,4425,a)]. 5364 K(x,y) * z != 1 | K(y,x) = z. [para(5321(a,1),46(a,1)),flip(a)]. 5365 x * (K(y,z) * K(z,y)) != u | x = u. [para(5321(a,2),133(a,1,2))]. 5366 L(x,K(y,z),K(z,y)) != u | x = u. [para(5333(a,1),53(a,2))]. 5367 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4281,a,5149,a),flip(a)]. 5368 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3863,a,5149,a)]. 5370 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(124,a,5149,a,b,14,a)]. 5371 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(66,a,1573,a,b,5149,a)]. 5372 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(66,a,4392,a(flip),b,5149,a),flip(a)]. 5373 x \ T(x * y,y) = y * K(x * y,y). [hyper(66,a,3994,a(flip),b,5149,a)]. 5374 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(124,a,5149,a(flip),b,90,a)]. 5375 T(x,y) \ (y * K(x,y)) = x \ y. [hyper(122,a,5149,a(flip),b,3964,a)]. 5376 (x * y) / x != y * z | K(x,y) = z. [para(5149(a,2),46(a,1))]. 5377 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5149(a,1),298(a,1))]. 5378 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(112(a,1),5149(a,1,1))]. 5379 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5149(a,1),113(a,1,1))]. 5381 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5149(a,2),463(a,1,2))]. 5382 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5149(a,1),488(a,1,1))]. 5383 T(x * K(y,x),x * y) = L(x,y,x). [para(5149(a,1),670(a,1,1))]. 5384 (x * (y * z)) / L(y,z * K(y,z),x) = x * ((y * z) / y). [para(5149(a,1),499(a,1,2,2))]. 5385 T(x * K(y * x,x),y) = R(x,y,x). [para(5149(a,1),713(a,2,1)),flip(a)]. 5386 T((x / y) * K(z,x / y),y) = (z * (y \ x)) / z. [para(5149(a,1),638(a,1,1))]. 5387 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5149(a,1),779(a,1,1))]. 5388 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5149(a,1),783(a,1,1))]. 5389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5149(a,2),95(a,1,2))]. 5390 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(931(a,1),5149(a,1,1))]. 5391 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(5149(a,1),1035(a,1,1))]. 5392 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5149(a,1),780(a,1,1))]. 5393 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5149(a,1),1331(a,2,1,2))]. 5394 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(5149(a,1),1523(a,1,1))]. 5395 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1551(a,1),5149(a,1,1))]. 5396 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5149(a,1),1574(a,2,1)),flip(a)]. 5397 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1614(a,1),5149(a,1,1))]. 5398 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1661(a,1),5149(a,1,1))]. 5399 L(x,y,x * K(y,x)) = L(x,y,x). [para(5149(a,1),4227(a,1,3))]. 5400 T(x * K(y,x),y * x) = L(x,y,x). [para(5149(a,1),4230(a,1,1))]. 5401 ((x \ 1) * y) * K(((x \ 1) * y) \ y,(x \ 1) * y) = (x * (y / x)) / (((x \ 1) * y) \ y). [para(4393(a,1),5149(a,1,1)),flip(a)]. 5402 ((x * y) / x) * z = y * (K(x,y) * z). [para(5149(a,2),4409(a,1,1))]. 5404 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5149(a,1),4527(a,1,1))]. 5405 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(5149(a,1),4961(a,2,2)),flip(a)]. 5406 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5149(a,1),4980(a,1,1,2))]. 5407 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(122,a,5167,a,b,1304,a)]. 5408 (x \ y) \ (y / x) = K(x,x \ y). [para(15(a,1),5167(a,2,2,1)),flip(a)]. 5409 x * K(y,x) != z | (y * x) / y = z. [para(5167(a,2),240(a,1,2)),flip(b)]. 5410 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5167(a,2),303(a,1,2,2))]. 5411 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),1490(a,1,2)),flip(a)]. 5412 K(x,y) = x * (((y * x) / y) \ 1). [hyper(285,a,4263,a,b,5170,a),flip(a)]. 5413 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(122,a,5170,a,b,4263,a),flip(a)]. 5414 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(122,a,5170,a,b,116,a),flip(a)]. 5415 K(x \ 1,y) * K(x \ 1,x) = T(x \ 1,y) * x. [para(5170(a,2),2691(a,1,1))]. 5416 K(x,x \ 1) * K(x,y) = T(x,y) * (1 / x). [para(5170(a,2),2860(a,1,2))]. 5417 K(x \ 1,x) * ((T(x,y) * (1 / x)) * z) = K(x,y) * z. [para(5170(a,2),3709(a,2,1))]. 5418 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5320(a,1),5170(a,2,2)),flip(a)]. 5420 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5191,a),flip(a)]. 5421 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [hyper(38,a,2905,a(flip),b,5191,a),flip(a)]. 5422 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(5191(a,1),19(a,2,1,2)),flip(a)]. 5423 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3224(a,1),5191(a,1,1))]. 5424 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(123,a,875,a,b,5192,a(flip))]. 5425 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(123,a,3994,a(flip),b,5192,a(flip))]. 5426 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(122,a,756,a(flip),b,5192,a(flip))]. 5427 (x * K(y,z)) \ (x * ((y * z) / y)) = L(z,K(y,z),x). [para(5192(a,2),23(a,2,2,2)),flip(a)]. 5431 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5274(a,1),4588(a,1,1))]. 5432 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(636,a,5291,a)]. 5434 x \ (y * (x / y)) = K(y,y \ x). [hyper(66,a,99,a,b,5318,a)]. 5435 x * K(y,y \ x) = y * (x / y). [hyper(124,a,5318,a(flip),b,99,a)]. 5438 (x * (y / x)) \ y = K(x \ y,x). [hyper(66,a,100,a,b,5323,a)]. 5439 (x * (y / x)) * K(x \ y,x) = y. [hyper(124,a,5323,a(flip),b,100,a)]. 5443 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5331(a,1),105(a,1,1))]. 5444 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5331(a,1),4426(a,2,2))]. 5445 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(2234,a,5334,a)]. 5446 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(659,a,5334,a)]. 5447 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(285,a,3199,a,b,5334,a),flip(a)]. 5448 x / (K(y,z) * x) = K(z,y). [hyper(185,a,5334,a)]. 5449 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(122,a,5334,a,b,116,a)]. 5450 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(66,a,3652,a(flip),b,5334,a),flip(a)]. 5452 K(x,y) * z != u | K(y,x) * u = z. [para(5334(a,1),138(a,1))]. 5453 K(x,y) * (K(y,x) * z) != u | u = z. [para(5334(a,1),240(a,1,2))]. 5454 x / (K(y,z) * x) != u | K(z,y) = u. [para(5334(a,1),297(a,1,2)),flip(b)]. 5455 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5334(a,1),129(a,1,2))]. 5458 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5334(a,1),546(a,1,2))]. 5459 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5334(a,1),335(a,1,1,3))]. 5460 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(123,a,5348,a(flip),b,112,a(flip))]. 5461 L(x,K(y,z),K(z,y)) = K(u,w) * (K(w,u) * x) # label(flip_matches_hint). [hyper(285,a,5333,a,b,5360,a)]. 5462 (K(x,y) / y) / (K(z,u) * (1 / T(y,x))) = K(u,z). [hyper(123,a,5132,a,b,5360,a)]. 5463 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [hyper(124,a,5360,a(flip),b,176,a)]. 5464 K(x,y) \ z != u | K(y,x) * z = u. [para(5360(a,1),304(a,1,2)),flip(b)]. 5465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5360(a,1),442(a,1,1)),flip(a)]. 5467 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3193(a,2),5448(a,1,2))]. 5468 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5448(a,1),3718(a,1,2)),flip(a)]. 5473 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(30(a,2),5208(a,1,2))]. 5474 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(32(a,2),5208(a,1,2))]. 5476 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(662(a,2),5208(a,1,2))]. 5477 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3268(a,1),5208(a,1))]. 5478 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5334(a,1),5208(a,1))]. 5479 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(28(a,1),5235(a,1,2))]. 5490 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5122(a,2),105(a,1,1)),flip(a)]. 5491 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(839,a,5126,a)]. 5492 T(1 / x,y) * x = K(x \ 1,y). [hyper(423,a,5126,a)]. 5493 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(66,a,2299,a(flip),b,5126,a)]. 5494 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(66,a,2290,a(flip),b,5126,a)]. 5495 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(66,a,1262,a(flip),b,5126,a)]. 5497 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(124,a,5126,a(flip),b,1262,a(flip)),flip(a)]. 5498 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(122,a,5126,a(flip),b,830,a(flip))]. 5500 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5126(a,1),850(a,2,2))]. 5501 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5126(a,1),1126(a,1,1))]. 5502 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5126(a,1),1289(a,1,1))]. 5503 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5126(a,1),1357(a,2,1))]. 5504 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5126(a,1),1364(a,2,1))]. 5505 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5126(a,1),1344(a,1,2)),flip(a)]. 5506 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),1355(a,2,2))]. 5507 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5126(a,1),2121(a,2,1,2))]. 5512 (x * T(x \ (K((x / y) \ 1,z) * y),u)) / y = (x / y) * T(T((x / y) \ 1,z),u). [para(5135(a,1),1352(a,2,2,1))]. 5514 x \ (T(x,y) * z) = K(x,y) * z. [hyper(128,a,5152,a)]. 5515 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(122,a,5170,a,b,5152,a),flip(a)]. 5516 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(122,a,15,a(flip),b,5152,a),flip(a)]. 5517 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(37,a,4263,a,b,5152,a)]. 5518 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(37,a,1004,a,b,5152,a),flip(a)]. 5519 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(37,a,4325,a(flip),b,5152,a),flip(a)]. 5520 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(37,a,4323,a(flip),b,5152,a),flip(a)]. 5521 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5152(a,1),19(a,2,2,1)),flip(a)]. 5522 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2229(a,1),5152(a,1,2))]. 5523 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(863,a,5153,a)]. 5524 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(285,a,3355,a,b,5153,a),flip(a)]. 5525 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(135,a,5153,a)]. 5526 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(128,a,5153,a)]. 5527 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(122,a,5360,a(flip),b,5153,a),flip(a)]. 5529 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(66,a,5152,a,b,5153,a)]. 5530 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(66,a,5052,a(flip),b,5153,a)]. 5532 (x * y) / (T(x,z) * y) = K(z,x). [hyper(123,a,4510,a(flip),b,5153,a(flip))]. 5533 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(123,a,994,a(flip),b,5153,a(flip))]. 5534 K(x,y) \ (y * z) = T(y,x) * z. [hyper(122,a,4510,a(flip),b,5153,a(flip))]. 5535 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(122,a,5153,a(flip),b,5152,a)]. 5536 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(23(a,2),5153(a,1,2)),flip(a)]. 5537 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(5153(a,1),294(a,1,1)),flip(b)]. 5540 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(5153(a,1),215(a,1,2,2))]. 5541 K(x \ y,z) * K(x \ y,y \ x) = T(x \ y,z) * (1 / (x \ y)). [para(2503(a,1),5153(a,1,2)),flip(a)]. 5542 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5125(a,2),5153(a,1,2)),flip(a)]. 5543 x * (T(x,y) \ K(x,z)) = K(x,z) * K(y,x). [hyper(285,a,2229,a,b,5157,a),flip(a)]. 5544 T(x,y) \ (x * z) = K(y,x) * z. [hyper(66,a,999,a,b,5157,a)]. 5545 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(37,a,4428,a,b,5157,a)]. 5546 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(123,a,4517,a,b,5157,a(flip))]. 5547 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(123,a,4826,a(flip),b,5157,a(flip)),flip(a)]. 5550 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4143(a,1),5157(a,1,2,1))]. 5551 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5157(a,1),4427(a,1,2)),flip(a)]. 5552 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5125(a,2),5157(a,1,2)),flip(a)]. 5557 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(180,a,5187,a),flip(a)]. 5558 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5187(a,1),307(a,1,1)),flip(b)]. 5559 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(37,a,3496,a,b,5193,a),flip(a)]. 5560 (1 / (x \ y)) * (y / x) = K(x,x \ y). [hyper(124,a,5193,a(flip),b,3222,a)]. 5561 R((x \ y) / z,z,K(x,x \ y)) = (y / x) / (z * K(x,x \ y)). [para(5193(a,1),113(a,2,1))]. 5562 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5193(a,1),3221(a,1,2))]. 5563 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5193(a,1),4409(a,1,1)),flip(a)]. 5564 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5193(a,1),4414(a,1,1)),flip(a)]. 5566 T(x \ y,R(y / x,z,u)) = x \ y. [para(5193(a,1),4625(a,1,2,1))]. 5567 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(124,a,4517,a,b,5196,a(flip))]. 5569 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5197(a,1),447(a,1,1))]. 5570 (x * K(y,y \ z)) * z != u * (y * (z / y)) | R(x,K(y,y \ z),z) = u. [para(5197(a,1),475(a,2,2))]. 5571 K(x,(x \ 1) * y) * y = x * (y / x). [para(4664(a,2),5197(a,1,1))]. 5574 x \ (T(x,y) * y) = y * K(x,y). [hyper(122,a,5219,a(flip),b,4468,a(flip))]. 5576 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5219(a,1),303(a,1))]. 5577 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(222(a,1),5219(a,1,2))]. 5578 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(223(a,1),5219(a,1,2))]. 5579 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(5219(a,1),479(a,1,1,1))]. 5583 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5220(a,1),25(a,2,2)),flip(a)]. 5584 K(x,y) * (x / y) = x / T(y,x). [hyper(4339,a,5228,a),flip(a)]. 5585 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(551,a,5228,a),flip(a)]. 5586 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(123,a,5130,a,b,5228,a)]. 5587 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(122,a,5130,a,b,5228,a)]. 5590 T(x,y) * z != x * u | K(y,x) * u = z. [para(5228(a,1),46(a,1)),flip(a)]. 5591 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5228(a,1),304(a,1,2)),flip(b)]. 5592 T(x,y) \ (x * z) != z * u | T(K(y,x),z) = u. [para(5228(a,1),375(a,1,2))]. 5593 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(5233(a,1),3054(a,1,1))]. 5594 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(43,a,5251,a,b,5240,a)]. 5595 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(43,a,5150,a,b,5240,a)]. 5596 T(x * K(x * y,x),y * x) = x. [hyper(43,a,4182,a(flip),b,5240,a),flip(a)]. 5597 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5252(a,1),221(a,1,2,1)),flip(a)]. 5599 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(27(a,2),5269(a,1,2))]. 5600 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5269(a,1),417(a,1,1,1)),flip(a)]. 5601 T(x,y) \ (y \ T(x,y)) = x \ (y \ x). [hyper(122,a,5271,a(flip),b,5153,a)]. 5602 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5069(a,2),5292(a,1,2))]. 5603 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4401(a,2),5293(a,2,2))]. 5604 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5150(a,1),5301(a,1,2,2))]. 5606 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [hyper(124,a,5359,a(flip),b,5174,a)]. 5608 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [hyper(285,a,27,a,b,5375,a),flip(a)]. 5609 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(28(a,1),5375(a,1,1))]. 5610 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5408(a,1),240(a,1,2)),flip(b)]. 5611 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5412(a,2),1147(a,2,2))]. 5612 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3849,a,5434,a)]. 5613 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [hyper(124,a,4665,a(flip),b,5434,a),flip(a)]. 5615 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4905(a,2),5434(a,1,2))]. 5616 T(K(x,x \ y),y) = K(x,x \ y). [hyper(224,a,5197,a,b,5435,a)]. 5617 T(x,K(y,y \ x)) = x. [hyper(224,a,5435,a,b,5197,a)]. 5618 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(66,a,5228,a,b,5435,a)]. 5619 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(66,a,3009,a,b,5435,a)]. 5620 x * (y / x) != y * z | K(x,x \ y) = z. [para(5435(a,1),46(a,1))]. 5621 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5435(a,1),105(a,2,1))]. 5622 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5435(a,1),462(a,1,2))]. 5623 (x \ 1) * (y * K(x,x \ y)) = L(y,x \ 1,x) / x. [para(5435(a,2),2187(a,1,2))]. 5624 K(x,K(y,y \ x)) = 1. [hyper(58,a,5617,a)]. 5625 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4905(a,2),5438(a,1,1))]. 5626 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1588(a,1,2,2,1))]. 5627 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1658(a,1,2,2,1))]. 5628 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(66,a,281,a(flip),b,5492,a),flip(a)]. 5629 K(x \ 1,x) * K(x \ 1,y) = T(x \ 1,y) * x. [para(5492(a,1),4743(a,1,2))]. 5630 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5514(a,1),1016(a,1))]. 5631 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1386,a,5515,a)]. 5632 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(5515(a,1),103(a,1,1))]. 5633 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(5515(a,1),5448(a,1,2))]. 5634 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [hyper(124,a,5516,a(flip),b,4544,a(flip))]. 5635 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5516(a,1),46(a,1))]. 5637 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(41,a,4088,a,b,5526,a),flip(a)]. 5638 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(41,a,4297,a(flip),b,5526,a),flip(a)]. 5643 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(32(a,2),5532(a,1,2,1))]. 5644 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(30(a,2),5533(a,1,2,1))]. 5646 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(123,a,4121,a(flip),b,5544,a(flip))]. 5648 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5545(a,1),445(a,1,1)),flip(a)]. 5649 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5134(a,1),5557(a,2,1)),flip(a)]. 5650 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(5574(a,1),5073(a,2,2,1))]. 5651 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5584(a,1),103(a,1,1))]. 5652 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5584(a,1),176(a,1,2,1))]. 5653 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5585(a,1),240(a,1,2)),flip(b)]. 5655 T(K(x,(x \ 1) * y),y) = K(x,x \ y). [para(4664(a,2),5616(a,1,1))]. 5660 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4231(a,2),5376(a,1,1))]. 5661 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(5385(a,1),4328(a,1,2)),flip(a)]. 5662 K(x,y) * z != u | K(y,x) \ z = u. [para(15(a,1),5453(a,1,2)),flip(b)]. 5664 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3751(a,2),5453(a,1,2)),flip(b)]. 5666 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5158(a,1),5453(a,1,2)),flip(b)]. 5667 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5515(a,1),5454(a,1,2))]. 5668 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(27(a,2),5464(a,1))]. 5670 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3196,a,5520,a)]. 5671 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5520(a,1),4395(a,1,1)),flip(a)]. 5675 T(x,y) \ (x * z) != u | K(x,y) \ z = u. [para(5544(a,2),5662(a,1))]. 5676 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(122,a,5670,a(flip),b,5152,a),flip(a)]. 5677 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,x \ 1). [hyper(122,a,5076,a(flip),b,3667,a)]. 5678 x \ K(y \ (x \ 1),y) = (y \ (x \ 1)) * y. [hyper(122,a,5076,a(flip),b,175,a(flip))]. 5679 K(x \ y,x) \ (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5076(a,1),19(a,2,1)),flip(a)]. 5680 ((1 / x) * y) \ K(y \ x,y) = L(T(y \ x,y),y,1 / x). [para(5076(a,1),216(a,1,2))]. 5682 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(14(a,1),5102(a,1,1,1)),flip(a)]. 5683 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5150(a,1),5133(a,1,1,1)),flip(a)]. 5685 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(123,a,829,a(flip),b,5154,a)]. 5687 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5154(a,1),225(a,2)),flip(a)]. 5688 x / (y * T(y \ x,z)) = K(z,x / y). [para(5154(a,1),5448(a,1,2))]. 5690 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3975(a,1),5159(a,1,2,1))]. 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(66,a,2807,a(flip),b,5166,a)]. 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(66,a,2215,a(flip),b,5166,a)]. 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(66,a,2052,a(flip),b,5166,a)]. 5695 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [hyper(124,a,5166,a(flip),b,1760,a(flip))]. 5696 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(123,a,5166,a(flip),b,798,a)]. 5697 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5166(a,1),25(a,2,2)),flip(a)]. 5698 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5166(a,1),1177(a,2,2))]. 5699 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5166(a,1),2045(a,2,1))]. 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5168(a,2),1357(a,2,1))]. 5702 T(T(1 / x,y) * x,z) / x = (1 / x) * T(K(x \ 1,y),z). [para(5177(a,1),896(a,1,1,1,1))]. 5703 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [hyper(124,a,5186,a(flip),b,27,a(flip))]. 5704 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5208,a,5201,a)]. 5706 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(66,a,4413,a,b,5704,a)]. 5707 K(x,(y \ z) / z) = K(x,y \ 1). [para(15(a,1),5704(a,1,2,2))]. 5708 K(x,(y / z) \ 1) = K(x,z / y). [para(17(a,1),5704(a,1,2,2)),flip(a)]. 5709 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5704(a,1),5234(a,1,1))]. 5712 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(463(a,1),5707(a,1,2,1)),flip(a)]. 5714 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(285,a,4413,a,b,5708,a)]. 5715 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(285,a,13,a,b,5708,a),flip(a)]. 5716 ((x / y) \ 1) \ K(z,y / x) = T((x / y) \ 1,z) \ 1. [hyper(122,a,5708,a(flip),b,5124,a(flip))]. 5718 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5239(a,1),588(a,1,1,1))]. 5719 T(x * K(x * y,x),y) = R(x,y,x). [hyper(38,a,4134,a,b,5242,a),flip(a)]. 5720 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5242,a),flip(a)]. 5721 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(123,a,5243,a,b,5192,a(flip))]. 5722 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(122,a,5243,a,b,5149,a(flip))]. 5723 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5243(a,2),3955(a,2,2))]. 5724 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5243(a,2),5121(a,2,1)),flip(a)]. 5725 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5243(a,2),5241(a,1))]. 5726 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5273(a,1),5259(a,1))]. 5727 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4284(a,2),5726(a,1))]. 5728 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(66,a,5255,a(flip),b,5300,a)]. 5729 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2963(a,1),5338(a,1,2))]. 5730 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5370(a,1),135(a,1))]. 5731 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(5373(a,1),4273(a,2,2))]. 5732 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5243(a,2),5402(a,1,1)),flip(a)]. 5734 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(123,a,1246,a(flip),b,5423,a),flip(a)]. 5735 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5425(a,1),705(a,1,1))]. 5736 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(285,a,3341,a(flip),b,5467,a),flip(a)]. 5737 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(15(a,1),5517(a,1,1,1)),flip(a)]. 5738 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5149(a,1),5517(a,1,1))]. 5740 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(285,a,4124,a,b,5518,a)]. 5742 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5125(a,2),5529(a,1,2,2))]. 5743 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(285,a,3353,a(flip),b,5542,a)]. 5744 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5542(a,2),3362(a,1))]. 5745 T(x,(((y \ z) \ 1) * (z / y)) * u) = T(x,K(y,y \ z) * u). [para(5560(a,1),4816(a,1,2,1)),flip(a)]. 5746 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5150(a,1),5586(a,1,1))]. 5747 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(28(a,1),5587(a,1,2))]. 5748 (x * T(y,x)) * T((x * T(y,x)) \ T(y,x),z) = x * (T(y,x) * T(y \ (x \ y),z)). [para(5601(a,1),830(a,2,2,2,1))]. 5749 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(15(a,1),5638(a,1,2,1,1))]. 5753 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(830(a,1),5688(a,1,2))]. 5754 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1414(a,1),5688(a,1,2))]. 5755 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5696(a,2),713(a,2,1)),flip(a)]. 5756 K(x,(y / z) \ 1) != u * 1 | K(x,z / y) = u. [para(5715(a,2),47(a,1))]. 5757 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5715(a,2),132(a,1)),flip(b)]. 5759 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [hyper(124,a,5743,a,b,176,a)]. 5760 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5743(a,1),46(a,1))]. 5763 T(x,y) * K(x * y,x) = R(x,y,x). [para(4345(a,1),5237(a,1,2))]. 5764 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(122,a,5763,a(flip),b,5152,a),flip(a)]. 5765 K(x * y,T(x,y)) = K(x * y,x). [hyper(37,a,5763,a,b,5367,a),flip(a)]. 5766 K(1 / x,y) != z | K(x \ 1,y) = z. [para(5171(a,1),5477(a,1))]. 5767 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(87(a,1),5766(a,1,1))]. 5770 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5527(a,1),5576(a,1,2))]. 5771 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3856(a,2),5620(a,1))]. 5775 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(116(a,1),5666(a,1,2))]. 5777 K(x,y \ 1) != z | K(x,1 / y) = z. [para(86(a,1),5757(a,1,2,1))]. 5778 K(T(x / y,z),T(x / y,z) \ 1) != u | K(x / y,y / x) = u. [para(3158(a,2),5757(a,1))]. 5783 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(135,a,5156,a)]. 5784 K(x * y,T(y,x)) = K(x * y,y). [hyper(37,a,5130,a(flip),b,5203,a),flip(a)]. 5785 K(x * y,y) = K(y * x,y). [hyper(4346,a,5784,a),flip(a)]. 5786 K(x * y,y) != z | K(y * x,y) = z. [para(5784(a,1),4346(a,1))]. 5787 K(x * (y / x),x) = K(y,x). [para(17(a,1),5785(a,1,1)),flip(a)]. 5788 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5785(a,2),5764(a,1,2))]. 5789 K(T(x,y) * y,x) = K(x * y,x). [para(3955(a,2),5787(a,1,1))]. 5790 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4905(a,2),5787(a,1,1))]. 5791 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3955(a,2),5790(a,1,1,1))]. 5792 K(x * y,y) * K(y,x) = y \ R(y,x,y). [hyper(2236,a,5788,a)]. 5793 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(66,a,3036,a(flip),b,5218,a),flip(a)]. 5794 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [hyper(124,a,5238,a,b,5534,a)]. 5795 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5244,a)]. 5796 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(35(a,1),5244(a,2,2))]. 5798 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5245,a)]. 5799 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [hyper(2416,a,5307,a)]. 5800 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5307(a,1),3418(a,1,1))]. 5801 K(x,y) * (K(y \ 1,y) * z) = ((T(y,x) \ 1) * y) * z. [para(5307(a,1),4776(a,1,1)),flip(a)]. 5802 (x * K(y,y \ 1)) / K(z,y) = x / ((T(y,z) \ 1) * y). [para(5307(a,1),4840(a,2,2))]. 5803 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(123,a,5387,a,b,5192,a(flip))]. 5804 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5387(a,2),5121(a,2,1)),flip(a)]. 5805 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(122,a,5388,a,b,5149,a(flip))]. 5806 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5388(a,2),4199(a,1,1))]. 5807 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5388(a,2),5121(a,2,1)),flip(a)]. 5808 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(5388(a,2),5413(a,1,1)),flip(a)]. 5809 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(5388(a,2),5402(a,1,1)),flip(a)]. 5812 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(285,a,2451,a(flip),b,5407,a)]. 5813 K(x \ y,y \ x) * K(x \ y,z) = T(x \ y,z) * (1 / (x \ y)). [para(2490(a,1),5416(a,1,1))]. 5814 (x * K(y,y \ 1)) * K(y,z) = x * (T(y,z) * (1 / y)). [para(5416(a,1),4891(a,2,2))]. 5815 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(981(a,1),5495(a,1,2,2))]. 5816 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1329(a,1),5495(a,1,2))]. 5817 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1363,a,5497,a),flip(a)]. 5818 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,5497,a),flip(a)]. 5819 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(66,a,838,a(flip),b,5497,a)]. 5820 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(124,a,5497,a(flip),b,838,a(flip))]. 5821 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(123,a,5497,a(flip),b,417,a)]. 5822 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(285,a,5497,a(flip),b,5502,a),flip(a)]. 5824 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(285,a,884,a(flip),b,5502,a),flip(a)]. 5826 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [hyper(123,a,838,a(flip),b,5502,a),flip(a)]. 5827 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(123,a,830,a(flip),b,5502,a)]. 5828 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(123,a,829,a(flip),b,5502,a)]. 5829 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [hyper(122,a,5502,a,b,xx)]. 5830 K((x / y) \ 1,z) = K(y / x,z). [hyper(38,a,5154,a,b,5502,a),flip(a)]. 5832 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(14(a,1),5502(a,2,2,1))]. 5833 K((x / y) \ 1,x) = K(x \ y,x). [hyper(285,a,5323,a(flip),b,5830,a),flip(a)]. 5834 K(x / (y * x),z) = K(y \ 1,z). [para(16(a,1),5830(a,1,1,1)),flip(a)]. 5835 K((x / (y * x)) \ 1,z) = K(y,z). [para(16(a,1),5830(a,2,1))]. 5836 K((x \ y) / y,z) = K(x \ 1,z). [para(87(a,1),5830(a,1,1,1)),flip(a)]. 5837 K(L(x \ y,x,z) / (z * y),u) = K((z * x) \ 1,u). [para(437(a,1),5830(a,1,1,1)),flip(a)]. 5838 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(285,a,5085,a,b,5833,a)]. 5839 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(285,a,4655,a(flip),b,5833,a),flip(a)]. 5840 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(16(a,1),5833(a,1,1,1)),flip(a)]. 5841 K(x \ (y \ x),x) = K(y \ 1,x). [para(87(a,1),5833(a,1,1,1)),flip(a)]. 5845 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5841(a,1),5087(a,1,1,2))]. 5846 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(66,a,4409,a,b,5522,a)]. 5847 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5523(a,2),225(a,2)),flip(a)]. 5848 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(37,a,5529,a,b,5543,a)]. 5850 K(x / (y \ 1),y) = K(y * x,y). [hyper(66,a,5646,a(flip),b,5546,a),flip(a)]. 5852 K(x / (y \ 1),y) = K(x * y,y). [hyper(285,a,5785,a,b,5850,a),flip(a)]. 5853 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3214,a,5552,a)]. 5854 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(122,a,15,a(flip),b,5563,a),flip(a)]. 5865 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5595(a,1),304(a,1,2)),flip(b)]. 5866 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5595(a,1),215(a,1,2,2))]. 5867 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(4181(a,1),5595(a,1,1))]. 5868 T(x,y) * T(y * K(z,y),x) = x * (y * K(z,T(y,x))). [para(5595(a,1),4513(a,1,2))]. 5869 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5595(a,1),5087(a,1,1))]. 5870 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(135,a,5637,a)]. 5871 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5637(a,1),5448(a,1,2))]. 5872 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(66,a,625,a(flip),b,5682,a)]. 5874 K(x,y) = (1 / (y * x)) * (x * y). [hyper(285,a,4955,a,b,5872,a),flip(a)]. 5875 K(x,y) / (x * y) = 1 / (y * x). [hyper(123,a,5872,a,b,4955,a)]. 5876 T(x * y,(y * x) \ 1) = ((y * x) \ 1) \ K(x,y). [hyper(122,a,5872,a,b,116,a),flip(a)]. 5877 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(122,a,5872,a,b,151,a(flip)),flip(a)]. 5880 (x * y) * ((y * x) * (1 / (x * y))) = (((x * y) \ 1) \ 1) * K(y,x). [para(5872(a,2),2912(a,1,2)),flip(a)]. 5882 (1 / ((x \ y) * x)) * y = K(x,x \ y). [hyper(285,a,152,a(flip),b,5874,a)]. 5883 ((1 / (x * y)) * y) \ K(y,x) = L(x,y,(x * y) \ 1). [hyper(122,a,5874,a,b,3667,a)]. 5885 (x * y) * ((y * x) * (1 / (x * y))) = T(y * x,(x * y) \ 1). [para(5875(a,1),3832(a,1,2,2))]. 5886 K(x \ (1 / y),T(x,x \ (y \ 1))) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4856(a,1),5875(a,2,2))]. 5887 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5373(a,2),5721(a,1,1,1))]. 5888 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(5367(a,1),5721(a,1,1,1))]. 5889 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(5595(a,1),5721(a,1,1,1))]. 5890 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5722(a,1),240(a,1,2)),flip(b)]. 5892 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) = K(z,T(x \ 1,y)). [para(3224(a,1),5722(a,1,2,1))]. 5893 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5785(a,1),5722(a,1,2,1,2))]. 5894 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5595(a,1),5724(a,1,1,1))]. 5895 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(66,a,5535,a,b,5737,a)]. 5899 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(5125(a,2),5737(a,1,2))]. 5900 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5742(a,1),46(a,1))]. 5905 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5749(a,1),5453(a,1,2)),flip(b)]. 5906 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5749(a,1),5098(a,2,2))]. 5907 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(90(a,1),5783(a,1,2,1,2))]. 5908 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(5791(a,1),5142(a,2,1))]. 5909 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(41,a,1345,a(flip),b,5829,a),flip(a)]. 5910 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(16(a,1),5829(a,1,2,1,1,1))]. 5913 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [hyper(124,a,5840,a(flip),b,97,a),flip(a)]. 5914 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5421(a,1),5845(a,1,1)),flip(a)]. 5916 ((x * L(y,x,z)) \ (z * (x * y))) \ R(z,x,L(y,x,z)) = K(x * L(y,x,z),R(z,x,L(y,x,z))). [para(854(a,1),5137(a,1,1))]. 5917 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4181(a,1),5160(a,1,2,1)),flip(a)]. 5918 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(28(a,1),5161(a,1,2,1))]. 5919 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(5258(a,1),494(a,1,1)),flip(a)]. 5920 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(38,a,5039,a,b,5272,a),flip(a)]. 5922 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5920(a,2),4797(a,1,2))]. 5923 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4741(a,1),5326(a,2,1,1))]. 5925 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(285,a,5149,a(flip),b,5379,a),flip(a)]. 5926 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5925(a,1),1575(a,1,2,3))]. 5927 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(5073(a,2),5925(a,1,1))]. 5928 R(x * K(y,x),y,x) = x * K(x * y,x). [para(5785(a,1),5925(a,2,2))]. 5929 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(5928(a,1),32(a,2,1))]. 5930 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5396(a,2),4229(a,1,1))]. 5931 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(84(a,1),5455(a,1,2))]. 5941 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(291,a,5460,a),flip(a)]. 5944 T(x,y) \ (x * z) != u * w | u \ (K(x,y) \ z) = w. [para(5544(a,2),5931(a,1))]. 5945 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5941(a,1),32(a,2,1))]. 5946 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5125(a,2),5164(a,1,1))]. 5948 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(124,a,5946,a(flip),b,23,a(flip))]. 5949 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(90(a,1),5946(a,1,1,2)),flip(a)]. 5950 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4596(a,1),5946(a,1,1)),flip(a)]. 5951 R(x,L(K(x,y),z,u),w) = x. [para(5949(a,1),4448(a,1,2))]. 5952 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(5951(a,1),112(a,1,1)),flip(a)]. 5953 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(357(a,1),5950(a,1,2,1)),flip(a)]. 5954 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5950(a,1),5334(a,1,1)),flip(a)]. 5955 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5950(a,1),5946(a,1,1)),flip(a)]. 5956 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(124,a,5953,a(flip),b,104,a),flip(a)]. 5957 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [hyper(285,a,5149,a(flip),b,5386,a),flip(a)]. 5960 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5393(a,1),630(a,1,1))]. 5961 K(x \ 1,y) * (K(x \ 1,x) * z) = (T(x \ 1,y) * x) * z. [para(5415(a,1),4776(a,1,1)),flip(a)]. 5962 K(x \ 1,x) * (y * K(x \ 1,z)) = y * (T(x \ 1,z) * x). [para(5415(a,1),4844(a,2,2))]. 5963 (K(x,y) / y) / (K(z \ 1,z) / T(y,x)) = K(z,z \ 1). [para(3655(a,1),5462(a,1,2))]. 5964 (K(x,y) / y) / (K(z \ u,u \ z) / T(y,x)) = K(u \ z,z \ u). [para(3661(a,1),5462(a,1,2))]. 5965 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(66,a,1416,a(flip),b,5491,a)]. 5966 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(90(a,1),5491(a,1,2,2,1,2))]. 5967 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(116(a,1),5491(a,1,2))]. 5969 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5126(a,1),5493(a,1,1))]. 5970 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,4413,a(flip),b,5969,a),flip(a)]. 5972 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(113(a,1),5969(a,2,1,1))]. 5973 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3341(a,1),5969(a,1,1)),flip(a)]. 5974 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(704(a,1),5970(a,1,1,1))]. 5975 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5973(a,1),5320(a,1,1)),flip(a)]. 5976 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5973(a,1),5334(a,1,1)),flip(a)]. 5977 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(5126(a,1),5494(a,1,1))]. 5978 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(5171(a,1),5494(a,1,1))]. 5979 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [hyper(124,a,5977,a(flip),b,23,a(flip))]. 5980 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1593(a,1),5977(a,1,1)),flip(a)]. 5981 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3341(a,1),5977(a,1,1)),flip(a)]. 5982 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(5977(a,1),4621(a,1,1))]. 5983 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5320(a,1),5977(a,1,1,1)),flip(a)]. 5985 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [hyper(124,a,5981,a(flip),b,5722,a),flip(a)]. 5986 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5981(a,1),5320(a,1,1)),flip(a)]. 5987 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(5981(a,1),5559(a,1,2,2))]. 5988 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5981(a,1),5728(a,2,2,1))]. 5989 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(123,a,5987,a(flip),b,5560,a)]. 5990 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(124,a,5498,a,b,838,a(flip))]. 5991 (x \ y) * T((x \ y) \ (x \ 1),z) = x \ K(y \ 1,z). [para(15(a,1),5498(a,1,2,1,1)),flip(a)]. 5994 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(838(a,1),5504(a,1,2))]. 5996 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5501(a,2),5504(a,1,2))]. 5997 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5342(a,1),5604(a,1,1)),flip(a)]. 5998 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4182(a,1),5608(a,1,1))]. 5999 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [hyper(138,a,5609,a)]. 6000 x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x \ 1,x). [hyper(124,a,5613,a(flip),b,404,a)]. 6001 K(x \ y,y \ x) * K((y \ x) \ 1,z) = T((y \ x) \ 1,z) * (y \ x). [para(2618(a,1),5629(a,1,1))]. 6002 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5479,a,5690,a),flip(a)]. 6004 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(87(a,1),6002(a,1,1)),flip(a)]. 6005 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4111(a,2),6004(a,1,1))]. 6006 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(136,a,5693,a)]. 6007 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5166(a,1),5694(a,1,1)),flip(a)]. 6009 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3366(a,1),6007(a,1,2,1)),flip(a)]. 6010 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(4596(a,1),6007(a,2,1))]. 6012 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6007(a,1),5180(a,1,2))]. 6013 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6010(a,1),3370(a,1,2,1))]. 6014 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6010(a,1),5946(a,1,1)),flip(a)]. 6017 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(5134(a,1),5703(a,1,2))]. 6018 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5031(a,1),5754(a,1,2))]. 6019 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(66,a,278,a(flip),b,5819,a)]. 6020 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5819(a,1),1640(a,2,2,1))]. 6021 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5819(a,2),5721(a,1,1,1))]. 6022 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5320(a,1),5820(a,1,2,2,1,1,2))]. 6023 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4191(a,1),5906(a,1,1,2))]. 6024 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5833(a,1),5907(a,1,1,2))]. 6025 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5073(a,2),6024(a,1,1))]. 6026 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(180,a,6025,a)]. 6027 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(285,a,5142,a,b,5908,a),flip(a)]. 6028 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(6027(a,1),5258(a,1,1,1)),flip(a)]. 6029 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(5910(a,1),240(a,1,2)),flip(b)]. 6030 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3319(a,1),5910(a,1,2,1)),flip(a)]. 6031 (((x \ 1) * y) \ y) * (x \ L(y,x \ 1,x)) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(404(a,2),5913(a,1,2))]. 6032 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(66,a,5950,a(flip),b,5986,a),flip(a)]. 6033 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(185,a,6032,a)]. 6034 L(K(x,y),z,u) != w \ 1 | L(K(y,x),z,u) = w. [para(6032(a,1),51(a,1))]. 6035 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6032(a,1),297(a,1,2)),flip(b)]. 6036 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6033(a,1),307(a,1,1)),flip(b)]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(90(a,1),5996(a,1,2,1,1))]. 6041 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3341(a,1),5996(a,1,2,1))]. 6042 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5149(a,2),5998(a,1,2))]. 6043 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(285,a,5695,a,b,6006,a),flip(a)]. 6044 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(87(a,1),6006(a,1,1,2,1))]. 6045 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(66,a,5848,a(flip),b,6017,a),flip(a)]. 6046 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5708(a,1),6043(a,1,1)),flip(a)]. 6047 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(225,a,6046,a)]. 6049 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(15(a,1),5427(a,1,2,2,1))]. 6050 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5335(a,2),5443(a,1,2))]. 6051 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(205(a,2),5706(a,1,2))]. 6052 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(205(a,1),5720(a,2,3))]. 6053 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(37,a,5034,a(flip),b,5795,a),flip(a)]. 6054 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6053(a,2),4784(a,1,2))]. 6057 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(5798(a,1),5345(a,1,2))]. 6059 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) != u | K(z,T(x \ 1,y)) = u. [para(3224(a,1),5865(a,1,2,1))]. 6060 (1 / L(x,y,(x * y) \ 1)) * ((K(y,x) \ ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),1479(a,1,1,2))]. 6063 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [hyper(124,a,5927,a,b,5373,a)]. 6064 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(5789(a,1),6057(a,1,2,1,2)),flip(a)]. 6065 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(37,a,1965,a,b,5204,a)]. 6066 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),2398(a,2,2))]. 6068 K(x * y,y \ (x \ 1)) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(6065(a,1),2895(a,1,1))]. 6069 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6065(a,1),3686(a,1,1))]. 6070 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6065(a,1),3638(a,1,1,2))]. 6071 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(5929(a,1),5249(a,1,1))]. 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(224,a,6071,a,b,xx)]. 6074 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5785(a,2),6072(a,1,1,1,2))]. 6075 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(6074(a,1),5248(a,1,1))]. 6076 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(592,a,6075,a)]. 6077 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(5253(a,1),4480(a,1,1,1,1))]. 6078 (T(x,y) * (1 / x)) * (z * K(x \ 1,x)) = K(x,y) * z. [hyper(4846,a,5417,a),flip(a)]. 6079 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [hyper(66,a,5503,a(flip),b,5505,a),flip(a)]. 6080 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(224,a,5503,a(flip),b,5505,a(flip)),flip(a)]. 6081 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(90(a,1),6080(a,2,1,1))]. 6082 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3341(a,1),6080(a,2,1))]. 6083 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6081(a,1),5977(a,1,1)),flip(a)]. 6084 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6082(a,1),5977(a,1,1)),flip(a)]. 6086 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5634(a,1),5551(a,1,2)),flip(a)]. 6087 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(285,a,4241,a(flip),b,5577,a),flip(a)]. 6088 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(285,a,4242,a(flip),b,5578,a),flip(a)]. 6090 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5166(a,1),5692(a,1,1))]. 6091 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4477,a,6090,a),flip(a)]. 6092 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(66,a,5969,a(flip),b,6090,a)]. 6093 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,6090,a),flip(a)]. 6094 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4596(a,1),6090(a,1,1)),flip(a)]. 6095 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5708(a,1),6090(a,1,1)),flip(a)]. 6096 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(36(a,1),6091(a,1,2,1))]. 6097 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(66,a,5975,a(flip),b,6094,a)]. 6098 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(66,a,5712,a(flip),b,6095,a),flip(a)]. 6099 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(488(a,1),6095(a,1,2,1)),flip(a)]. 6100 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(461(a,1),6095(a,1,2)),flip(a)]. 6101 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(17(a,1),6098(a,2,2,1))]. 6102 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(17(a,1),6098(a,2,2,2))]. 6103 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(87(a,1),6098(a,1,1,2)),flip(a)]. 6104 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6103(a,1,2))]. 6105 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(14(a,1),6104(a,1,2,2)),flip(a)]. 6106 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(176(a,1),6104(a,1,2,2)),flip(a)]. 6107 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(66,a,5969,a(flip),b,6105,a)]. 6108 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6105(a,1),32(a,2,1))]. 6109 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(495(a,1),6096(a,1,2,1)),flip(a)]. 6110 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(87(a,1),6099(a,1,1,2)),flip(a)]. 6111 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(66,a,2043,a(flip),b,5698,a)]. 6112 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5698(a,1),2073(a,1,1)),flip(a)]. 6113 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(66,a,1179,a(flip),b,5699,a)]. 6115 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(123,a,5732,a(flip),b,4427,a)]. 6116 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(830(a,1),5753(a,1,2,2))]. 6117 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1414(a,1),5753(a,1,2,2))]. 6118 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5379(a,2),5753(a,2,2))]. 6119 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(32(a,2),5818(a,2,2))]. 6120 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5865,a,5893,a),flip(a)]. 6121 K(x * y,T(y,z)) != u | K(y * x,T(y,z)) = u. [para(5893(a,1),5865(a,1))]. 6122 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6120(a,1),4346(a,1))]. 6123 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(66,a,5629,a(flip),b,5899,a),flip(a)]. 6124 x * T(x \ (T(x \ 1,y) * x),z) = (1 / x) \ T(T(x \ 1,y),z). [para(6123(a,1),892(a,1,2,1,2))]. 6125 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(135,a,5909,a),flip(a)]. 6126 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5981(a,1),5954(a,1,1)),flip(a)]. 6127 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(305,a,6126,a),flip(a)]. 6128 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(285,a,2238,a(flip),b,6126,a),flip(a)]. 6129 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6127(a,1),304(a,1,2)),flip(b)]. 6130 ((x / y) * K(z,x / y)) * y = y * ((y \ x) * K(z,y \ x)). [hyper(124,a,5957,a(flip),b,27,a(flip)),flip(a)]. 6131 K(T(x / y,z),T(x / y,z) \ 1) = (K(u,w) / w) / (K(x \ y,y \ x) / T(w,u)). [para(3464(a,1),5963(a,1,2,1)),flip(a)]. 6132 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5497(a,1),5965(a,1,1))]. 6133 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6094(a,1),5976(a,1,1)),flip(a)]. 6134 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(305,a,6133,a),flip(a)]. 6135 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(185,a,6133,a)]. 6136 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(123,a,176,a(flip),b,6133,a(flip))]. 6137 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6133(a,2),132(a,1)),flip(b)]. 6138 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6134(a,1),304(a,1,2)),flip(b)]. 6139 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(196,a,6136,a)]. 6141 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5101(a,1),6136(a,1,2,1))]. 6142 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(5197(a,1),6136(a,1,2,1))]. 6143 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(66,a,153,a(flip),b,6141,a),flip(a)]. 6144 K(((x \ y) * ((x \ 1) \ 1)) \ 1,z) = (x \ K(y \ 1,z)) * ((x \ 1) \ 1). [para(5991(a,1),5965(a,1,1)),flip(a)]. 6145 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(285,a,5910,a(flip),b,6030,a),flip(a)]. 6146 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = K(x,y) * ((x \ 1) * z). [para(3744(a,1),6078(a,1,2))]. 6147 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6084(a,1),5334(a,1,1)),flip(a)]. 6148 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6044(a,2),6113(a,1,2))]. 6149 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(14(a,1),6148(a,1,2,2)),flip(a)]. 6152 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(4596(a,1),6149(a,1,1)),flip(a)]. 6153 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(6032(a,2),6128(a,2,2)),flip(a)]. 6154 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(123,a,5284,a(flip),b,116,a)]. 6155 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5298(a,1),1833(a,1,2))]. 6156 ((1 / (x * y)) * (x * y)) / L(x,y * K(x,y),1 / (x * y)) = a((x * y) \ 1,(x * y) / x,x) / x. [hyper(285,a,3939,a,b,5384,a),flip(a)]. 6157 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5219(a,1),5431(a,1,2,2))]. 6158 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(767,a,6157,a),flip(a)]. 6159 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5536(a,1),456(a,1,1))]. 6160 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6138,a,5652,a)]. 6163 ((1 / x) * y) \ K(y \ x,y) = T(((1 / x) * y) \ 1,y). [hyper(285,a,697,a,b,5680,a),flip(a)]. 6164 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4639(a,1),5755(a,1,1,1))]. 6165 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(32(a,2),5888(a,1,1))]. 6166 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [hyper(285,a,5160,a(flip),b,5917,a),flip(a)]. 6168 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5972(a,1),112(a,1,1))]. 6170 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5833(a,1),5972(a,1,1))]. 6171 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(14(a,1),6170(a,1,1,1))]. 6172 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4787,a,5979,a),flip(a)]. 6173 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(37,a,5922,a,b,5979,a)]. 6174 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5979(a,1),46(a,1)),flip(a)]. 6175 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(268(a,1),5979(a,1,2,1,1))]. 6176 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(124,a,6172,a(flip),b,1252,a)]. 6177 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6176(a,1),2647(a,1,1))]. 6178 (L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(6000(a,1),4314(a,1,1,1))]. 6179 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(830(a,1),6029(a,1))]. 6180 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6053(a,2),6054(a,2,2,2))]. 6181 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(37,a,5405,a,b,6063,a),flip(a)]. 6182 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(285,a,6065,a(flip),b,6069,a),flip(a)]. 6184 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(66,a,6135,a,b,6139,a)]. 6185 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(285,a,4791,a(flip),b,6164,a),flip(a)]. 6186 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6171(a,1),3189(a,1,2))]. 6187 x * (T(y,x) * T(y \ (x \ y),z)) != u | K(x \ 1,z) * T(y,x) = u. [para(5601(a,1),6179(a,1,2,2,1))]. 6188 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1579(a,1),5096(a,1,1,1,2,1))]. 6189 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(285,a,4938,a(flip),b,5104,a),flip(a)]. 6191 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5414(a,2),5215(a,1,2,1))]. 6192 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5256(a,2),5286(a,1,2,1))]. 6193 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5150(a,1),6192(a,1,2,1)),flip(a)]. 6194 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(66,a,5152,a,b,5306,a)]. 6195 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1628,a,5378,a),flip(a)]. 6196 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(684(a,1),5506(a,1,1))]. 6197 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),6196(a,1,1,2))]. 6199 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(224,a,6197,a,b,15,a),flip(a)]. 6200 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(123,a,150,a(flip),b,6197,a)]. 6201 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(123,a,6197,a(flip),b,112,a)]. 6204 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6200(a,1),118(a,1,1))]. 6205 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5131(a,1),6200(a,1,1)),flip(a)]. 6206 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(128,a,6205,a)]. 6207 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(66,a,3441,a,b,6206,a)]. 6208 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(16(a,1),6207(a,1,2,2))]. 6209 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(66,a,3339,a,b,6208,a)]. 6210 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(66,a,5628,a(flip),b,6208,a)]. 6211 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [hyper(124,a,6209,a(flip),b,5408,a)]. 6212 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(38,a,5492,a,b,6210,a)]. 6213 R(T(1 / x,y * x),x,y) = (x * y) \ y. [para(6212(a,2),4835(a,1,1))]. 6214 T(R(1 / x,x,y),y * x) = (x * y) \ y. [hyper(66,a,32,a(flip),b,6213,a)]. 6215 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(285,a,4571,a(flip),b,6199,a),flip(a)]. 6216 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(285,a,2979,a(flip),b,5593,a),flip(a)]. 6217 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(5335(a,1),5650(a,2,2))]. 6219 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5523(a,1),5685(a,1,1,2)),flip(a)]. 6220 (1 / x) * T(K(x \ 1,y),z) = T(K(x \ 1,y),z) / x. [para(5492(a,1),5702(a,1,1,1)),flip(a)]. 6221 T(K(x \ 1,y),z) \ (T(K(x \ 1,y),z) / x) = 1 / x. [hyper(122,a,6220,a(flip),b,3365,a)]. 6222 (T(K(x \ 1,y),z) * (((1 / x) \ 1) \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(6221(a,1),2524(a,1,1,2,1,1))]. 6223 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(28(a,1),5747(a,1,1))]. 6224 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1427(a,1),5827(a,1,1))]. 6225 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(6074(a,1),5889(a,1,1))]. 6226 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(66,a,502,a,b,5914,a)]. 6227 ((K(x \ 1,x) * y) * K(x \ 1,z)) \ ((T(x \ 1,z) * x) * y) = K(K(x \ 1,z),K(x \ 1,x) * y). [hyper(122,a,5961,a(flip),b,96,a)]. 6228 ((T(x \ 1,y) * x) * z) \ ((K(x \ 1,x) * z) * K(x \ 1,y)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(5961(a,1),21(a,2,1)),flip(a)]. 6229 (K(x \ 1,x) * y) * K(x \ 1,z) = y * (T(x \ 1,z) * x). [hyper(66,a,3646,a,b,5962,a)]. 6230 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5497(a,2),6022(a,1,2))]. 6231 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(90(a,1),6040(a,2,1,1))]. 6232 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(14(a,1),6231(a,1,2,2)),flip(a)]. 6234 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(123,a,6232,a,b,xx)]. 6235 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(122,a,6232,a,b,116,a)]. 6238 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3341(a,1),6041(a,2,1))]. 6239 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(27(a,2),6238(a,1,2,2))]. 6240 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(123,a,6066,a(flip),b,2893,a)]. 6241 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),6066(a,1,1))]. 6242 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4250(a,1),6087(a,1,2))]. 6243 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4250(a,1),6088(a,1,2))]. 6244 (x * K(y,(x \ z) \ 1)) / z = (x / z) * K(y,x / z). [hyper(123,a,5956,a(flip),b,6130,a)]. 6245 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(337,a,6132,a)]. 6246 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(4596(a,1),6152(a,1,2,1)),flip(a)]. 6247 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(5361(a,1),6246(a,2,2))]. 6249 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(384,a,6191,a)]. 6250 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5327(a,1),6195(a,1,2)),flip(a)]. 6251 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(285,a,5372,a(flip),b,6250,a),flip(a)]. 6252 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(15(a,1),6251(a,1,1,1)),flip(a)]. 6253 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2853(a,1),6215(a,1,2)),flip(a)]. 6254 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(39,a,5448,a,b,6219,a(flip))]. 6256 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(128,a,6230,a)]. 6257 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6230(a,1),46(a,1))]. 6258 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(414(a,1),6230(a,1,2)),flip(a)]. 6259 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(135,a,6254,a),flip(a)]. 6261 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1149(a,1),6254(a,1,1,2))]. 6262 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6254(a,1),5454(a,1,2))]. 6263 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5452,a,6261,a),flip(a)]. 6264 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5360(a,1),6261(a,1,2,2)),flip(a)]. 6265 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(122,a,82,a(flip),b,6263,a),flip(a)]. 6266 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(122,a,6265,a,b,1479,a)]. 6267 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4483,a,6264,a)]. 6268 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6256(a,1),4922(a,1,1))]. 6269 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(5026,a,6258,a)]. 6270 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6258(a,2),46(a,1))]. 6273 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6269(a,2),4785(a,1,2))]. 6274 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(14(a,1),6268(a,1,1,2,1)),flip(a)]. 6275 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6274(a,2),47(a,1))]. 6276 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5068(a,2),505(a,1))]. 6277 R((x \ 1) / (y \ T(x \ 1,z)),y \ T(x \ 1,z),K(x,x \ 1)) = (1 / x) / (y \ T(1 / x,z)). [para(3928(a,1),5561(a,2,2))]. 6278 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5334(a,1),5621(a,1,1))]. 6279 K(L(x,y,x),y) = K(x,y). [hyper(5660,a,5371,a)]. 6280 K(T(x,x * y),y) = K(x,y). [hyper(66,a,5325,a,b,6279,a)]. 6281 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [hyper(5464,a,5679,a)]. 6283 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(4475,a,5809,a),flip(a)]. 6284 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(116(a,1),5866(a,1,2)),flip(a)]. 6285 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(285,a,3211,a(flip),b,6284,a)]. 6286 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(285,a,345,a(flip),b,5980,a),flip(a)]. 6288 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1080(a,1),6286(a,1,2))]. 6289 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(59,a,6288,a)]. 6290 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(57,a,6289,a)]. 6291 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1242(a,2),6290(a,1,1))]. 6292 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6291(a,1),4311(a,1,2)),flip(a)]. 6293 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(285,a,2554,a(flip),b,6292,a),flip(a)]. 6294 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1242(a,1),6293(a,1,1))]. 6295 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5063(a,2),6112(a,1,2))]. 6296 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(98(a,1),6226(a,1,3,2))]. 6297 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4188(a,1),6252(a,1,1)),flip(a)]. 6298 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(285,a,3997,a(flip),b,6297,a),flip(a)]. 6299 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(38,a,5406,a,b,6298,a),flip(a)]. 6300 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(285,a,5444,a,b,6299,a),flip(a)]. 6301 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4252(a,1),6300(a,1,2))]. 6302 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(180,a,6301,a)]. 6303 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5444(a,1),6302(a,1,1))]. 6304 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5149(a,2),6303(a,1,1,2))]. 6305 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(y \ 1,x \ y,x). [hyper(285,a,3935,a(flip),b,6281,a),flip(a)]. 6306 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(265,a,6295,a)]. 6307 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3826(a,1),6306(a,1,2)),flip(a)]. 6309 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(4596(a,1),6307(a,1,1,2))]. 6311 (x * K(y,z)) * y = x * T(y,z). [para(3029(a,1),6309(a,2,2))]. 6312 R(x,K(y,z),y) = x. [hyper(5282,a,6311,a)]. 6313 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(285,a,3193,a,b,6311,a),flip(a)]. 6315 x * T(y * K(x,z),x) = y * T(x,z). [hyper(264,a,6311,a)]. 6316 (x * T(y,z)) / y = x * K(y,z). [hyper(135,a,6311,a)]. 6317 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(128,a,6311,a)]. 6319 (x / T(y,z)) * K(y,z) = x / y. [hyper(123,a,17,a(flip),b,6311,a),flip(a)]. 6320 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(38,a,1224,a,b,6311,a),flip(a)]. 6321 (x / y) * T(y,z) = x * K(y,z). [hyper(38,a,1204,a,b,6311,a)]. 6322 (x * y) * K(y,z) = x * T(y,z). [hyper(38,a,1200,a,b,6311,a),flip(a)]. 6323 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6311(a,1),19(a,2,1,2)),flip(a)]. 6327 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5128(a,1),6311(a,1,1))]. 6328 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6311(a,1),5788(a,1,2,1))]. 6329 R(x,R(K(y,z),u,w),y) = x. [para(6094(a,1),6312(a,1,2))]. 6330 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6329(a,1),112(a,1,1)),flip(a)]. 6331 (x * K(y,z)) / T(y,z) = x / y. [hyper(123,a,6316,a(flip),b,1206,a(flip))]. 6332 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6316,a(flip),b,1206,a(flip))]. 6333 x / y != z * K(y,u) | z * T(y,u) = x. [para(6316(a,1),49(a,1)),flip(a)]. 6334 L(x,K(x,y),z) = x. [hyper(5281,a,6317,a)]. 6335 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(66,a,6050,a(flip),b,6334,a)]. 6336 (x * K(y,z)) * (y * K(z,y)) = x * y. [hyper(124,a,6334,a(flip),b,6050,a(flip))]. 6337 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6334(a,1),410(a,1,2,1))]. 6338 (x * K(y,z)) * R(y,u,w) = x * (K(y,z) * R(y,u,w)). [para(6334(a,1),411(a,1,2,1))]. 6343 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4495(a,1),6319(a,1,1))]. 6344 x * T(x \ y,z) = y * K(x \ y,z). [hyper(315,a,6321,a)]. 6346 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,5028,a(flip),b,6321,a),flip(a)]. 6348 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(123,a,6321,a(flip),b,6311,a)]. 6349 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(122,a,175,a(flip),b,6321,a(flip))]. 6351 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6321(a,1),882(a,1,2,1))]. 6352 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5120(a,2),6321(a,1,1))]. 6353 R(x,y,K(y,z)) = x. [hyper(5213,a,6322,a)]. 6355 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(285,a,5023,a,b,6322,a),flip(a)]. 6357 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(224,a,6322,a,b,15,a),flip(a)]. 6358 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(128,a,6322,a)]. 6359 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(122,a,17,a(flip),b,6322,a)]. 6361 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(37,a,5948,a(flip),b,6322,a(flip)),flip(a)]. 6362 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(6322(a,1),23(a,2,2,2)),flip(a)]. 6366 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6322(a,1),513(a,1))]. 6367 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6322(a,1),469(a,1,1))]. 6369 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6353(a,1),2528(a,1,1,1))]. 6372 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6332(a,1),5870(a,1,2))]. 6373 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6332(a,1),5871(a,1,1))]. 6374 L(K(x,y),x,z) = K(x,y). [hyper(5212,a,6358,a)]. 6375 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6358(a,1),240(a,1,2)),flip(b)]. 6380 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(285,a,5320,a,b,6374,a),flip(a)]. 6382 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6374(a,1),34(a,1,1)),flip(a)]. 6383 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6374(a,1),413(a,1,2,1))]. 6384 (x \ 1) * T(K(x \ 1,y),z) = x \ T(K(x \ 1,y),z). [para(6374(a,1),504(a,1,2,1)),flip(a)]. 6385 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6374(a,1),506(a,1,2,1))]. 6388 L(K(x,y),y,z) = K(x,y). [hyper(6034,a,6380,a)]. 6389 L(K(x,y),x,z) != u | K(x,y) = u. [para(6380(a,2),5332(a,1))]. 6390 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(285,a,6388,a,b,6388,a)]. 6392 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(66,a,5953,a(flip),b,6388,a)]. 6393 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(124,a,6388,a(flip),b,106,a),flip(a)]. 6394 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(124,a,6388,a(flip),b,23,a(flip))]. 6395 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6388(a,1),35(a,1,1)),flip(a)]. 6403 L(K(x,y),y,z) != u | K(x,y) = u. [para(6390(a,1),3653(a,1)),flip(b)]. 6404 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5777,a,6392,a)]. 6406 T(K(x,y / z),y) = K(x,z \ y). [hyper(66,a,6047,a,b,6392,a)]. 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(14(a,1),6392(a,1,2,1)),flip(a)]. 6408 K(x,((y * z) \ y) \ 1) = K(x,z). [para(14(a,1),6392(a,2,2))]. 6409 K(x,y \ (y / z)) = K(x,z \ 1). [para(90(a,1),6392(a,1,2,1)),flip(a)]. 6410 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(105(a,2),6392(a,1,2,1))]. 6411 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(657(a,1),6392(a,1,2,1)),flip(a)]. 6412 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(993(a,1),6392(a,1,2,1))]. 6414 T(x \ y,K(z,y \ x)) = x \ y. [para(6392(a,1),2090(a,1,2))]. 6416 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5334(a,1),6392(a,1,2,1))]. 6417 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6392(a,1),5946(a,1,1)),flip(a)]. 6418 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6392(a,1),5695(a,1,2))]. 6419 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6392(a,1),6043(a,2,2))]. 6420 K(x,y / z) * y = y * K(x,z \ y). [para(6392(a,1),6046(a,1,2)),flip(a)]. 6421 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6392(a,1),6090(a,1,1)),flip(a)]. 6422 (x * K(y,z \ x)) / z = (x / z) * K(y,x / z). [para(6392(a,1),6244(a,1,1,2))]. 6423 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5953(a,1),6403(a,1))]. 6424 K(x,x / y) = K(x,y \ x). [hyper(66,a,3343,a(flip),b,6406,a)]. 6425 K(x,(y \ z) \ z) = T(K(x,y),z). [para(87(a,1),6406(a,1,1,2)),flip(a)]. 6427 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(6406(a,1),5319(a,1,2)),flip(a)]. 6428 K(x,(y \ x) \ x) = K(x,y). [para(87(a,1),6424(a,1,2)),flip(a)]. 6429 K(x,x / (x / y)) = K(x,y). [para(90(a,1),6424(a,2,2))]. 6433 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5877(a,2,2))]. 6434 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(285,a,6388,a,b,6408,a)]. 6437 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [hyper(124,a,6414,a(flip),b,27,a(flip))]. 6439 K(x,T(y,y \ z)) = T(K(x,y),z). [para(117(a,2),6425(a,1,2))]. 6440 T(K(x,y),z * y) = K(x,T(y,z)). [para(4140(a,2),6425(a,1,2)),flip(a)]. 6441 T(K(x,y),y * z) = K(x,T(y,z)). [para(14(a,1),6439(a,1,2,2)),flip(a)]. 6442 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(285,a,6440,a,b,6441,a)]. 6443 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [hyper(124,a,6441,a(flip),b,27,a(flip))]. 6445 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(122,a,2430,a,b,6315,a),flip(a)]. 6447 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6315(a,1),263(a,1))]. 6453 (x * K(x \ y,z)) \ y = (x \ y) * K(z,x \ y). [para(15(a,1),6335(a,1,2))]. 6454 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6335(a,1),1667(a,1,2,2,1,2)),flip(a)]. 6455 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6335(a,1),1609(a,1,1)),flip(a)]. 6456 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5730,a,6336,a)]. 6457 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(123,a,17,a(flip),b,6336,a)]. 6459 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5847,a,6344,a),flip(a)]. 6460 T(K(x / y,z),x) = K(y \ x,z). [hyper(5687,a,6344,a)]. 6461 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,6344,a),flip(a)]. 6462 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(66,a,838,a(flip),b,6344,a)]. 6466 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [hyper(122,a,838,a(flip),b,6344,a(flip))]. 6467 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [hyper(37,a,5505,a(flip),b,6344,a(flip))]. 6468 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(37,a,5497,a(flip),b,6344,a(flip))]. 6471 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(6344(a,2),2202(a,1,1))]. 6472 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6344(a,2),3211(a,1,2,1)),flip(a)]. 6473 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6344(a,2),3210(a,1,1,1)),flip(a)]. 6475 K((x \ y) \ y,y) = K(x,y). [hyper(285,a,3183,a(flip),b,6459,a),flip(a)]. 6476 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [hyper(124,a,6475,a(flip),b,21,a(flip))]. 6477 K(x / y,x) = K(y \ x,x). [para(90(a,1),6475(a,1,1,1)),flip(a)]. 6478 K((x / y) \ 1,y) = K(x \ y,y). [hyper(66,a,5830,a,b,6477,a)]. 6479 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(66,a,5200,a,b,6477,a)]. 6480 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(66,a,5836,a(flip),b,6477,a),flip(a)]. 6481 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(66,a,3246,a(flip),b,6460,a)]. 6482 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(285,a,625,a(flip),b,6468,a),flip(a)]. 6484 K((x * y) \ x,z) = K(y \ 1,z). [para(14(a,1),6468(a,1,1,1)),flip(a)]. 6485 K(x \ (x / y),z) = K(y \ 1,z). [para(90(a,1),6468(a,1,1,1)),flip(a)]. 6488 K(((x / y) * x) \ (y * (x / y)),z) = K(T(y \ x,x) \ 1,z). [para(4364(a,1),6468(a,1,1,1)),flip(a)]. 6490 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5334(a,1),6468(a,1,1,1))]. 6491 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6468(a,1),5162(a,1,1))]. 6496 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(66,a,6478,a,b,6484,a)]. 6497 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(6484(a,1),399(a,1,2))]. 6511 1 / (x * K(y,x)) = K(x,y) / x. [hyper(123,a,5321,a(flip),b,6393,a)]. 6512 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(122,a,5321,a(flip),b,6393,a)]. 6513 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(5193(a,1),6393(a,1,2))]. 6514 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(66,a,5997,a(flip),b,6511,a)]. 6515 K(x,y) / x = 1 / ((y * x) / y). [para(5149(a,2),6511(a,1,2)),flip(a)]. 6516 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(6511(a,1),5254(a,2,1)),flip(a)]. 6518 K(x,y) * (1 / x) = K(x,y) / x. [hyper(5464,a,6514,a)]. 6519 T(1 / ((x * y) / x),y) = y \ K(y,x). [para(6515(a,1),118(a,1,1))]. 6520 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(756(a,1),6515(a,2,2))]. 6521 R(x,y,K(z,y)) = x. [hyper(475,a,6394,a)]. 6523 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5193(a,1),6394(a,2,2))]. 6524 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6394(a,1),6311(a,1,1))]. 6526 K(x,L(x,y,z) / u) = K(x,u \ L(x,y,z)). [hyper(38,a,3354,a(flip),b,6420,a),flip(a)]. 6527 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6442(a,2),5418(a,1,1))]. 6528 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(66,a,5393,a(flip),b,6456,a)]. 6529 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(66,a,153,a(flip),b,6456,a)]. 6533 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5193(a,1),6457(a,1,2)),flip(a)]. 6534 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(66,a,6082,a(flip),b,6467,a),flip(a)]. 6535 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(66,a,3462,a(flip),b,6467,a),flip(a)]. 6536 ((x * y) / x) * T(T(((x * y) / x) \ 1,y),z) = T(y \ K(y,x),z) * ((x * y) / x). [para(6519(a,1),424(a,1,1,1)),flip(a)]. 6537 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5193(a,1),6528(a,1,1,2))]. 6538 K(((x \ 1) * y) \ y,(x \ 1) * y) = K(x,x \ y). [hyper(285,a,5655,a(flip),b,6534,a),flip(a)]. 6540 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(112(a,1),6535(a,1,1,1))]. 6542 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(6361(a,2),5180(a,1))]. 6545 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5146(a,1),6375(a,1,1))]. 6546 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5192(a,2),6375(a,1,1))]. 6547 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [hyper(124,a,6382,a(flip),b,106,a),flip(a)]. 6548 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4598(a,2),6423(a,1))]. 6549 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6047(a,2),6423(a,1))]. 6550 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(116(a,1),6434(a,2,2,1,1))]. 6551 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6434(a,1),3653(a,1)),flip(b)]. 6554 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(12(a,1),6551(a,1,2,1,1))]. 6555 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(1959(a,2),6554(a,1,2))]. 6556 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2383(a,1),6554(a,1,2))]. 6557 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2484(a,2),6554(a,1,2))]. 6558 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3585(a,2),6554(a,1,2))]. 6559 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3497(a,1),6313(a,1,1)),flip(a)]. 6560 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(66,a,5317,a(flip),b,6357,a),flip(a)]. 6561 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5153(a,2),6416(a,1,2,1))]. 6562 K(x,T(K(y,z) * u,w) \ 1) = T(K(x,u \ K(z,y)),w). [para(6416(a,1),6007(a,2,1))]. 6563 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(285,a,2060,a(flip),b,6418,a)]. 6564 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6418(a,1),46(a,1))]. 6565 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(285,a,5564,a(flip),b,6443,a),flip(a)]. 6566 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3185(a,1),6443(a,1,2,2)),flip(a)]. 6567 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4963,a,6462,a)]. 6568 K((x \ 1) \ y,y) = K(x * y,y). [hyper(37,a,5373,a(flip),b,6462,a(flip)),flip(a)]. 6569 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6462(a,1),1671(a,2,2,1))]. 6570 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6462(a,1),4922(a,1,1))]. 6571 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6462(a,1),4927(a,1,1))]. 6572 K((x \ 1) \ y,y) = K(y * x,y). [hyper(285,a,5785,a(flip),b,6568,a),flip(a)]. 6573 K((1 / x) * y,y) = K(x \ y,y). [para(90(a,1),6568(a,1,1,1)),flip(a)]. 6574 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(17(a,1),6466(a,1,2,2,1)),flip(a)]. 6575 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(66,a,5965,a(flip),b,6471,a)]. 6576 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6575(a,1),5990(a,1,2,2))]. 6577 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6490(a,1),6080(a,2,1))]. 6578 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(66,a,1233,a,b,6513,a)]. 6580 K(K(x,x \ y) / (z * (y / x)),u) = K((z * (x \ y)) \ 1,u). [para(6523(a,1),5834(a,1,1,2))]. 6581 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5149(a,2),6524(a,1,1,2))]. 6582 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6524(a,1),5422(a,1,2))]. 6583 R(K(x,(y / z) \ L(x,u,w)),L(x,u,w),z) = K(x,(L(x,u,w) * z) / y). [para(6526(a,1),6102(a,1,1))]. 6585 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(16(a,1),6537(a,1,1)),flip(a)]. 6586 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6576(a,1),1690(a,2,2,1))]. 6587 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(66,a,153,a(flip),b,6578,a),flip(a)]. 6588 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3368,a,b,6581,a),flip(a)]. 6590 T(x / (y / z),K(z,z \ y)) = K(z \ y,z) * (x / (z \ y)). [hyper(224,a,6587,a,b,5360,a)]. 6592 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6491,a,5142,a(flip))]. 6593 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [hyper(124,a,6592,a(flip),b,27,a(flip))]. 6594 T(x,(y * z) \ y) = T(x,z \ 1). [para(14(a,1),6592(a,1,2,1)),flip(a)]. 6596 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(23(a,2),6592(a,1,2,1)),flip(a)]. 6597 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(27(a,2),6592(a,1,2,1))]. 6599 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6592(a,1),3046(a,1,2))]. 6600 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5334(a,1),6592(a,2,2))]. 6601 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(632,a,6594,a),flip(a)]. 6603 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6597(a,2),249(a,1,2))]. 6604 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(285,a,358,a,b,6601,a)]. 6605 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(185,a,6604,a)]. 6606 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4977(a,1),6605(a,1,2))]. 6607 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(6352(a,1),46(a,1)),flip(a)]. 6608 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6383(a,1),5355(a,1,2))]. 6609 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(66,a,5110,a,b,6385,a)]. 6610 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6385(a,1),5111(a,1,1,1)),flip(a)]. 6611 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2958(a,1),6417(a,1,2,1)),flip(a)]. 6612 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [hyper(124,a,6437,a(flip),b,5544,a)]. 6613 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6461(a,1),2959(a,1,2))]. 6614 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(285,a,4020,a(flip),b,6476,a),flip(a)]. 6615 x / R(1 / (y \ 1),y \ 1,x) = ((y \ 1) * x) * K(y,y \ x). [para(6538(a,1),5091(a,1,2)),flip(a)]. 6616 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(38,a,4355,a,b,6559,a)]. 6617 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5134(a,2),6616(a,1,2))]. 6618 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6617(a,1),32(a,2,1))]. 6619 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6618(a,1),394(a,1,1))]. 6620 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(117(a,1),6619(a,1,1,1))]. 6621 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6620(a,1),4572(a,1,1,1))]. 6622 (x * ((1 / y) / x)) * y != z | K(x,(x * y) \ 1) = z. [para(6563(a,2),125(a,1))]. 6623 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5197(a,2),6563(a,1,1))]. 6624 T((x / y) * K((L(y,z,u) \ 1) \ (x / y),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(1568(a,1),6571(a,2,2))]. 6625 K(x,x * (y / x)) = K(x,y). [hyper(4270,a,6614,a)]. 6626 K(x,y * x) = K(x,x * y). [para(16(a,1),6625(a,1,2,2)),flip(a)]. 6627 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4905(a,2),6625(a,1,2))]. 6628 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4912(a,1),6625(a,1,2)),flip(a)]. 6629 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4913(a,1),6625(a,1,2))]. 6630 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5063(a,2),6625(a,1,2))]. 6631 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(93(a,1),6626(a,2,2))]. 6632 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4913(a,1),6627(a,1,2,1))]. 6633 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4105(a,2),6629(a,2,2))]. 6634 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(66,a,6417,a(flip),b,6410,a)]. 6635 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6389,a,6634,a),flip(a)]. 6636 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(15(a,1),6634(a,2,2,1))]. 6637 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(15(a,1),6634(a,2,2,2))]. 6638 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(90(a,1),6634(a,1,1,2)),flip(a)]. 6639 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6634(a,1),6389(a,1))]. 6640 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(15(a,1),6635(a,1,2,1)),flip(a)]. 6641 K(x,(1 / y) * x) = K(x,y \ x). [para(162(a,1),6635(a,1,2))]. 6642 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(105(a,2),6635(a,1,2))]. 6643 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4523(a,1),6642(a,1,2))]. 6644 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [hyper(124,a,6636,a(flip),b,23,a(flip))]. 6645 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6636(a,1),6389(a,1))]. 6646 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6638(a,1,2))]. 6647 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(285,a,6032,a,b,6646,a),flip(a)]. 6648 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(16(a,1),6646(a,1,2,2)),flip(a)]. 6649 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(66,a,6395,a,b,6648,a)]. 6650 K(L(x,y * z,u) \ 1,z) = K(x \ 1,L(z,y,u)). [hyper(66,a,5977,a(flip),b,6648,a)]. 6651 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(5347,a,6647,a)]. 6652 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6647(a,2),6036(a,1))]. 6653 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(16(a,1),6651(a,1,1,2)),flip(a)]. 6654 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(87(a,1),6651(a,1,1,2)),flip(a)]. 6655 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4120(a,1),6651(a,1,1,2))]. 6656 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6403,a,6653,a),flip(a)]. 6657 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(6653(a,1),6403(a,1))]. 6658 K(L(x,y,z),y * x) = K(x,x * y). [hyper(285,a,6626,a(flip),b,6656,a),flip(a)]. 6659 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6403,a,6654,a),flip(a)]. 6660 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4072,a,6654,a)]. 6661 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(105(a,1),6654(a,2,1))]. 6662 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(268(a,1),6654(a,2,1))]. 6663 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(453(a,1),6654(a,2,1))]. 6664 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(458(a,1),6654(a,2,1))]. 6665 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(453(a,1),6659(a,1,1)),flip(a)]. 6666 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6158(a,1),6659(a,1,1))]. 6667 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6660(a,1),5314(a,1,1))]. 6669 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6648(a,1),6649(a,1,1))]. 6670 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6652(a,1,2))]. 6671 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(66,a,6669,a(flip),b,6663,a)]. 6672 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [hyper(124,a,6663,a(flip),b,23,a(flip))]. 6673 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(19(a,2),6663(a,2,1))]. 6674 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6663(a,1),6403(a,1))]. 6675 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(285,a,626,a(flip),b,6479,a)]. 6677 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(66,a,6285,a,b,6550,a)]. 6678 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(285,a,6640,a(flip),b,6643,a),flip(a)]. 6679 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(66,a,4691,a(flip),b,6662,a),flip(a)]. 6681 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(66,a,5368,a,b,6679,a)]. 6682 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3351(a,1),6330(a,2,2))]. 6683 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(37,a,5130,a(flip),b,6355,a)]. 6684 K(K(x \ 1,x) * y,z) = K(y,z). [para(1906(a,1),6683(a,1,1,1))]. 6687 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2830(a,1),6683(a,1,1))]. 6688 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2860(a,1),6683(a,1,1))]. 6689 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2888(a,1),6683(a,1,1))]. 6690 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2897(a,1),6683(a,1,1)),flip(a)]. 6691 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2909(a,1),6683(a,1,1)),flip(a)]. 6692 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2947(a,1),6683(a,1,1))]. 6694 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2975(a,1),6683(a,1,1)),flip(a)]. 6695 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3684(a,1),6683(a,1,1))]. 6696 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3897(a,1),6683(a,1,1))]. 6697 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4851(a,1),6683(a,1,1))]. 6698 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4867(a,2),6683(a,1,1))]. 6699 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4878(a,1),6683(a,1,1))]. 6702 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3710(a,1),6684(a,1,1))]. 6703 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4883(a,2),6684(a,1,1))]. 6704 K((x \ K(y \ 1,y)) * z,u) = K((x \ 1) * z,u). [para(4875(a,1),6684(a,1,1))]. 6705 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4884(a,1),6684(a,1,1))]. 6706 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4893(a,1),6684(a,1,1))]. 6707 K((((x \ 1) \ 1) * y) \ z,u) = K((x * y) \ z,u). [para(4894(a,1),6684(a,1,1))]. 6708 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(5020(a,2),6684(a,1,1))]. 6709 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(15(a,1),6687(a,2,1))]. 6710 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(3422(a,2),6687(a,1,1,2))]. 6711 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3581(a,1),6687(a,1,1,2)),flip(a)]. 6712 K(x * (y \ 1),x) = K(y \ x,x). [hyper(66,a,6572,a(flip),b,6691,a)]. 6714 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3585(a,2),6691(a,1,1,1))]. 6715 K((1 / x) \ y,y) = K(y * x,y). [para(90(a,1),6712(a,1,1,2)),flip(a)]. 6716 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5413(a,1),6712(a,1,1,2)),flip(a)]. 6717 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(6712(a,1),5807(a,1,1,1,2))]. 6718 K((1 / x) \ y,y) = K(x * y,y). [hyper(285,a,5785,a,b,6715,a),flip(a)]. 6719 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(66,a,625,a(flip),b,6718,a),flip(a)]. 6720 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(66,a,6468,a,b,6696,a)]. 6721 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [hyper(124,a,6697,a(flip),b,97,a)]. 6722 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (x \ 1),y)) * x. [para(6697(a,1),4958(a,2,1,2))]. 6723 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6697(a,1),6567(a,2,2))]. 6724 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2830(a,1),6698(a,1,1,2))]. 6725 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2947(a,1),6698(a,1,1,2))]. 6727 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3754(a,1),6698(a,1,1,2))]. 6728 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5294(a,1),6698(a,1,1,2)),flip(a)]. 6729 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,6661,a,b,6728,a)]. 6730 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4880(a,1),6703(a,1,1,1))]. 6731 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4995(a,1),6703(a,1,1,1))]. 6732 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(2947(a,1),6708(a,1,1,2))]. 6733 K((x \ K(y \ z,z \ y)) * u,w) = K((x \ 1) * u,w). [para(2618(a,1),6704(a,1,1,1,2))]. 6734 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,5966,a,b,6705,a)]. 6735 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2951(a,1),6705(a,1,1,1)),flip(a)]. 6737 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(15(a,1),6724(a,2,1,2))]. 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2520(a,2),6411(a,1,2))]. 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(66,a,6561,a(flip),b,6412,a),flip(a)]. 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(15(a,1),6739(a,1,2,1)),flip(a)]. 6741 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5251(a,1),6577(a,1,1,1)),flip(a)]. 6742 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6741(a,1),52(a,1)),flip(a)]. 6743 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(14(a,1),6599(a,1,2,2))]. 6744 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(285,a,6641,a(flip),b,6719,a),flip(a)]. 6745 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5786,a,6744,a)]. 6746 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(285,a,6640,a(flip),b,6745,a),flip(a)]. 6747 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3642(a,1),6730(a,1,1,1,2))]. 6748 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4282(a,1),6730(a,1,1,1)),flip(a)]. 6749 K(((x \ 1) * (y \ x)) \ 1,z) = (1 / x) * (K(y,z) * x). [para(5523(a,1),6734(a,1,2)),flip(a)]. 6750 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(285,a,6653,a(flip),b,6362,a),flip(a)]. 6751 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(285,a,6374,a,b,6750,a)]. 6752 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(873,a,6582,a),flip(a)]. 6753 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(90(a,1),6606(a,1,2,2)),flip(a)]. 6754 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5799(a,1),6445(a,1,1)),flip(a)]. 6755 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(285,a,6419,a,b,6623,a),flip(a)]. 6756 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6644(a,1),46(a,1)),flip(a)]. 6757 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(78(a,1),6644(a,1,2,2)),flip(a)]. 6759 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(37,a,6757,a(flip),b,6672,a),flip(a)]. 6760 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6672(a,1),46(a,1)),flip(a)]. 6761 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(15(a,1),6759(a,1,1,2)),flip(a)]. 6762 (1 / x) \ ((y \ (x \ 1)) * y) = ((y \ (x \ 1)) * y) * x. [para(5678(a,1),6722(a,2,1))]. 6763 K(x \ 1,x) * K(y \ (x \ 1),y) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,2980,a,b,6762,a)]. 6764 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(78(a,1),6743(a,2,2))]. 6765 ((x \ 1) * y) * K(x,x \ y) = y / R(x,x \ 1,y). [para(87(a,1),6615(a,1,2,1)),flip(a)]. 6767 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4656(a,1),5093(a,2,2))]. 6768 K(x \ 1,x) * K(y \ (x \ 1),y) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),5107(a,1,2))]. 6769 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(5189(a,2),1970(a,1,2))]. 6770 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(66,a,1342,a(flip),b,5600,a),flip(a)]. 6771 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1224(a,2),6770(a,2,2))]. 6772 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5342(a,1),5683(a,2,2))]. 6773 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5359(a,1),6772(a,1,2))]. 6774 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6773(a,1),221(a,1,2,1))]. 6775 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6234(a,1),5828(a,2,1,1))]. 6776 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(4181(a,1),5867(a,1,2,2)),flip(a)]. 6777 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(285,a,5595,a(flip),b,6776,a),flip(a)]. 6778 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4912(a,1),6777(a,1,2)),flip(a)]. 6779 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5950(a,1),5988(a,1,1))]. 6780 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(66,a,5887,a(flip),b,6021,a),flip(a)]. 6781 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(66,a,6468,a(flip),b,6780,a)]. 6782 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(32(a,2),6781(a,1,2))]. 6783 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5698(a,1),6111(a,1,1))]. 6786 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6783(a,2,2))]. 6787 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6786(a,1,1,2))]. 6788 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5031(a,1),6117(a,1,2,2))]. 6790 (1 / x) \ T(T(x \ 1,y),z) != u | T(T(x \ 1,y),z) * x = u. [para(6124(a,1),688(a,1))]. 6791 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6014(a,1),6147(a,1,1)),flip(a)]. 6792 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2963(a,1),6791(a,1,1)),flip(a)]. 6793 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2963(a,1),6792(a,1,1)),flip(a)]. 6794 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(285,a,4596,a(flip),b,6173,a),flip(a)]. 6795 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(6554,a,6794,a)]. 6796 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(6795(a,2),5320(a,1,1)),flip(a)]. 6797 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(285,a,5320,a(flip),b,6796,a)]. 6798 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6174,a,6180,a)]. 6799 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(268(a,1),6798(a,1,1,1))]. 6800 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6798(a,1),2446(a,1,1))]. 6801 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6798(a,1),2686(a,1,1))]. 6802 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6798(a,2),5321(a,1,1))]. 6803 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5364,a,6802,a)]. 6804 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(122,a,6803,a(flip),b,1903,a(flip))]. 6805 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(341(a,1),6804(a,1,2,1))]. 6806 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(122,a,6805,a(flip),b,1921,a(flip)),flip(a)]. 6807 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(709,a,6235,a)]. 6808 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(116(a,1),6807(a,2,2))]. 6809 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6807(a,1),6083(a,1,1,1)),flip(a)]. 6810 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(285,a,6081,a(flip),b,6809,a),flip(a)]. 6811 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6810(a,1),649(a,1,2,1)),flip(a)]. 6812 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(262,a,6283,a),flip(a)]. 6813 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4409(a,1),6812(a,2,1))]. 6814 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(23(a,2),6673(a,1,1,1,1))]. 6815 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(701,a,6755,a)]. 6816 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(66,a,6143,a(flip),b,6815,a)]. 6817 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4952(a,1),6816(a,1,2))]. 6818 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(285,a,5708,a(flip),b,6817,a),flip(a)]. 6819 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(66,a,6018,a(flip),b,6818,a)]. 6820 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4953(a,1),6818(a,1,2))]. 6821 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(571(a,1),6820(a,1,2,2))]. 6822 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(15(a,1),6761(a,1,2)),flip(a)]. 6823 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1839(a,2),6822(a,1,2))]. 6824 (x \ 1) / (y * ((1 / x) / y)) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,6763,a(flip),b,6768,a),flip(a)]. 6825 (x * (((y \ z) * y) * (1 / z))) * a(x,K((1 / z) \ K(y \ z,y),1 / z),K(y \ z,y)) = (x * K((1 / z) \ K(y \ z,y),1 / z)) * K(y \ z,y). [para(5083(a,1),5113(a,1,1,2,1))]. 6826 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(66,a,5379,a,b,5395,a)]. 6827 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5395(a,1),713(a,2,1)),flip(a)]. 6828 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5395(a,1),880(a,1,1,1))]. 6829 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5725,a,6827,a)]. 6830 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1886(a,1),6827(a,1,1,2,1,2))]. 6831 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5595(a,1),6827(a,1,1))]. 6832 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6826(a,1),1620(a,1,1,2)),flip(a)]. 6833 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5397(a,1),880(a,1,1,1))]. 6834 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(838(a,1),5507(a,1,2))]. 6835 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(783(a,2),5611(a,1,2,2,1))]. 6836 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5795(a,1),5796(a,1,1,1))]. 6837 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(285,a,6057,a(flip),b,6064,a),flip(a)]. 6838 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1408(a,1),6201(a,1,2))]. 6839 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(285,a,5816,a(flip),b,6472,a),flip(a)]. 6840 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(66,a,6677,a(flip),b,6839,a),flip(a)]. 6841 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(66,a,6468,a(flip),b,6840,a),flip(a)]. 6842 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6423,a,6841,a),flip(a)]. 6843 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(27(a,2),6842(a,2,2))]. 6844 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(17(a,1),6843(a,1,1,1)),flip(a)]. 6845 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(66,a,5807,a(flip),b,6717,a),flip(a)]. 6846 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(34(a,1),6845(a,1,1))]. 6847 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(6181(a,1),6845(a,1,1)),flip(a)]. 6848 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6751(a,1,1,1))]. 6849 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3820(a,1),6753(a,2,2))]. 6850 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(66,a,3824,a(flip),b,6849,a),flip(a)]. 6851 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3029(a,1),6850(a,1,2,2)),flip(a)]. 6852 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3029(a,1),6851(a,1,1,1)),flip(a)]. 6853 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(180,a,6852,a)]. 6854 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(118(a,1),6853(a,1,1,1,1))]. 6855 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(118(a,1),6854(a,2,2))]. 6856 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(285,a,116,a(flip),b,6800,a),flip(a)]. 6859 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2610(a,2),6801(a,2,2))]. 6860 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1814(a,1),6835(a,1,2))]. 6862 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6838(a,1),479(a,1))]. 6863 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(66,a,6856,a(flip),b,6859,a),flip(a)]. 6864 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(180,a,6863,a)]. 6865 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5054(a,1,1,2))]. 6866 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(37,a,5795,a,b,6865,a(flip))]. 6868 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(453(a,1),6866(a,1,2)),flip(a)]. 6869 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(19(a,2),6868(a,2,2))]. 6870 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(1972,a,5188,a)]. 6871 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6423,a,6870,a)]. 6873 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3914,a,b,6871,a)]. 6874 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3730,a,b,6873,a)]. 6875 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3239,a(flip),b,6874,a)]. 6876 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,6871,a,b,6875,a),flip(a)]. 6877 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5136(a,2),5231(a,2,2,1,1))]. 6878 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(122,a,5236,a(flip),b,5157,a),flip(a)]. 6879 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(4596(a,1),5736(a,1,2,2))]. 6880 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(5981(a,1),5985(a,1,1,2)),flip(a)]. 6881 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5319(a,1),6880(a,1,2,1)),flip(a)]. 6882 K(x \ y,y \ x) * K(x \ y,z) = T((y \ x) \ 1,z) * (y \ x). [para(6468(a,1),6001(a,1,2))]. 6883 T((x \ y) \ 1,z) * (x \ y) = T(y \ x,z) * (1 / (y \ x)). [hyper(66,a,5813,a(flip),b,6882,a),flip(a)]. 6884 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(285,a,1965,a(flip),b,6070,a),flip(a)]. 6886 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(116(a,1),6116(a,1,2,2,2))]. 6887 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(6123(a,2),6886(a,2,2,2,2))]. 6888 (x \ K(y \ 1,z)) * ((x \ 1) \ 1) = K(((x \ y) * x) \ 1,z). [hyper(66,a,6706,a(flip),b,6144,a),flip(a)]. 6889 K(((x \ y) * x) \ 1,y) = K(y \ 1,y). [hyper(4984,a,6888,a),flip(a)]. 6890 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(13(a,1),6155(a,2,1,2,2))]. 6891 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(66,a,5822,a(flip),b,6168,a)]. 6893 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(90(a,1),6245(a,1,1,1,1,2)),flip(a)]. 6894 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6468(a,1),6893(a,1,2))]. 6895 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(6697(a,1),6894(a,1,2))]. 6896 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(37,a,4692,a,b,6895,a)]. 6897 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(6896(a,1),5977(a,1,1))]. 6898 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6322(a,1),6367(a,1,2)),flip(a)]. 6899 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(285,a,25,a,b,6898,a),flip(a)]. 6900 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6898(a,2),479(a,1))]. 6901 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(66,a,36,a,b,6899,a)]. 6902 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(14(a,1),6569(a,1,1,2,1)),flip(a)]. 6903 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6731(a,1),6723(a,2,2))]. 6904 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(66,a,6886,a(flip),b,6788,a),flip(a)]. 6905 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(242(a,1),6788(a,1,2))]. 6906 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5822(a,1),6891(a,2,1))]. 6907 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(285,a,6895,a(flip),b,6903,a),flip(a)]. 6908 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(224,a,6906,a(flip),b,6175,a(flip)),flip(a)]. 6910 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(27(a,2),6908(a,1,2,1,1,2)),flip(a)]. 6911 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(285,a,5497,a,b,6910,a),flip(a)]. 6912 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6468(a,1),6911(a,1,1,2)),flip(a)]. 6913 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(66,a,4946,a(flip),b,4968,a),flip(a)]. 6914 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3757(a,2),4975(a,1,1))]. 6915 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5245(a,1),5250(a,1,2))]. 6916 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5925(a,1),6915(a,2,3))]. 6917 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4250(a,1),6916(a,1,2))]. 6918 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(285,a,5258,a(flip),b,6028,a),flip(a)]. 6920 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(285,a,5708,a(flip),b,6109,a),flip(a)]. 6921 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(66,a,6095,a(flip),b,6920,a)]. 6922 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6424(a,1),6921(a,1,1))]. 6923 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(32(a,2),6540(a,1,2))]. 6924 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(14(a,1),6828(a,2,1,1))]. 6925 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(14(a,1),6833(a,2,1,1))]. 6926 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5063(a,2),6913(a,1,2))]. 6927 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(262,a,6914,a),flip(a)]. 6928 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6681(a,1),6927(a,2,1))]. 6929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6928(a,1),6018(a,1,2)),flip(a)]. 6930 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(285,a,5448,a(flip),b,6929,a),flip(a)]. 6932 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(66,a,6819,a(flip),b,6930,a)]. 6933 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(66,a,6429,a(flip),b,6930,a)]. 6934 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(6933(a,1),6090(a,1,1))]. 6935 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(112(a,1),6932(a,1,2,2,2))]. 6936 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(285,a,3729,a(flip),b,6923,a),flip(a)]. 6938 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6936(a,1),3390(a,1,1))]. 6939 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(265,a,6926,a),flip(a)]. 6940 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5439(a,1),5108(a,1,1,2,1))]. 6941 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(135,a,6940,a)]. 6942 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [hyper(185,a,6941,a(flip))]. 6943 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5360(a,1),5465(a,2,2))]. 6944 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(285,a,14,a(flip),b,6943,a),flip(a)]. 6947 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(6944(a,1),53(a,1)),flip(a)]. 6948 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(222(a,1),5626(a,1,2)),flip(a)]. 6949 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5320(a,1),6948(a,1,1,2,1))]. 6950 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(223(a,1),5627(a,1,2)),flip(a)]. 6951 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5320(a,1),6950(a,1,1,2,1))]. 6952 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(14(a,1),6020(a,1,1,2,1)),flip(a)]. 6953 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6468(a,1),6952(a,1,2,1,2))]. 6954 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(4598(a,1),6052(a,1,1,2))]. 6955 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(6511(a,1),6193(a,2,1))]. 6956 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5150(a,1),6955(a,1,1,1))]. 6957 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(180,a,6956,a)]. 6958 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6957(a,1,1,2))]. 6959 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(32(a,2),6782(a,2,2))]. 6960 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(66,a,989,a(flip),b,6878,a)]. 6962 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3022(a,1),6954(a,1,1))]. 6963 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(6711(a,1),6962(a,1,1,1))]. 6964 (((x \ 1) * y) \ y) * T(L(y,x \ 1,x) / x,x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(118(a,2),6031(a,1,2))]. 6965 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3138(a,1),6119(a,1,2,1,1))]. 6966 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3341(a,1),6965(a,1,2))]. 6967 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(66,a,5714,a(flip),b,6473,a),flip(a)]. 6969 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1417(a,1),6967(a,1,1))]. 6970 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(66,a,5827,a(flip),b,6969,a)]. 6971 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6729(a,1),6613(a,1,1))]. 6972 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1673(a,2),6834(a,1,2))]. 6973 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(265,a,6972,a)]. 6974 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5994(a,1),6973(a,1,2)),flip(a)]. 6975 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5144(a,1),6974(a,2,2))]. 6976 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(90(a,1),6975(a,1,1,2,1))]. 6977 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(90(a,1),6976(a,2,2,1,2))]. 6978 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(122,a,802,a(flip),b,6977,a(flip))]. 6979 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(122,a,6977,a(flip),b,6787,a(flip))]. 6982 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(117(a,1),6978(a,2,1))]. 6983 L(K(x,y),y \ 1,z) = K(x,y). [hyper(66,a,5490,a(flip),b,6979,a)]. 6984 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(6979(a,1),134(a,1,2)),flip(b)]. 6986 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,5977,a(flip),b,6983,a)]. 6988 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6982(a,1),4922(a,1,1)),flip(a)]. 6989 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(66,a,4313,a(flip),b,6988,a)]. 6990 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(90(a,1),6989(a,2,1,1,1))]. 6991 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(66,a,4316,a(flip),b,6990,a)]. 6992 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * ((y * x) / x)). [para(16(a,1),6991(a,1,1,1)),flip(a)]. 6993 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * y). [para(16(a,1),6992(a,2,2,2))]. 6994 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(118(a,1),4825(a,1,2))]. 6996 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(66,a,4994,a(flip),b,6994,a)]. 6997 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(87(a,1),6996(a,1,1,1)),flip(a)]. 6999 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(66,a,3936,a(flip),b,6997,a)]. 7000 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(183(a,1),6999(a,1,1)),flip(a)]. 7001 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(117(a,2),7000(a,1,1))]. 7002 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4996(a,1),4993(a,2,2))]. 7003 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(66,a,5498,a,b,5057,a)]. 7004 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6747(a,1),7003(a,1,2))]. 7005 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6273(a,1),7004(a,2,1))]. 7006 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5125(a,2),7005(a,2,1,1))]. 7007 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(124,a,2701,a(flip),b,7006,a),flip(a)]. 7008 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(117(a,1),7007(a,2,2,2))]. 7009 (x / y) * T(T((x / y) \ 1,z),u) = (x * T(T(x \ y,z),u)) / y. [para(5829(a,1),5512(a,1,1,2,1)),flip(a)]. 7010 (x * y) * T((y * T(x,y)) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),5748(a,1,1))]. 7011 (x * y) * T((x * y) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),7010(a,1,2,1,1))]. 7012 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(112(a,1),5919(a,1,1)),flip(a)]. 7013 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(4477,a,7012,a),flip(a)]. 7014 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(5579,a,7013,a)]. 7016 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,6922,a(flip),b,7014,a)]. 7017 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,7014,a),flip(a)]. 7018 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(15(a,1),7014(a,1,2)),flip(a)]. 7019 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5157(a,1),7014(a,1,2))]. 7020 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5529(a,1),7014(a,1,2)),flip(a)]. 7021 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(66,a,3613,a,b,7017,a)]. 7022 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(122,a,7017,a(flip),b,3613,a)]. 7023 K(R(x,x \ 1,y),z) = K(x,z). [hyper(285,a,352,a(flip),b,7018,a),flip(a)]. 7024 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(110(a,1),7018(a,1,1))]. 7026 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(37,a,3692,a,b,7021,a)]. 7027 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(7022(a,1),5216(a,1,2)),flip(a)]. 7028 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(128,a,7026,a)]. 7030 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(66,a,5013,a(flip),b,7028,a)]. 7031 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(90(a,1),7024(a,1,1,2,1)),flip(a)]. 7032 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(17(a,1),7031(a,2,1,1))]. 7033 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(17(a,1),7031(a,2,1,2))]. 7034 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(3900,a,7027,a)]. 7035 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6477(a,1),7032(a,1,1))]. 7036 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6093(a,2),7034(a,1,2))]. 7037 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4231(a,2),7016(a,1,2,1,1))]. 7038 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4344,a,7036,a)]. 7039 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(136,a,7038,a)]. 7040 x / R(x,y,z) = R(x,y,z) \ x. [hyper(66,a,1616,a(flip),b,7039,a)]. 7041 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(136,a,7040,a)]. 7042 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(7040(a,1),6098(a,1,1,2))]. 7043 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(4704(a,1),7041(a,1,1,1))]. 7044 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(7041(a,1),4926(a,1,1,1))]. 7045 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5287,a,7044,a)]. 7046 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(4704(a,1),7043(a,1,2))]. 7047 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(322,a,7046,a)]. 7048 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(66,a,4854,a(flip),b,7047,a)]. 7049 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [hyper(124,a,7048,a(flip),b,117,a(flip))]. 7050 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5191(a,1),5926(a,1,1))]. 7051 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1563,a,7050,a)]. 7052 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5245(a,1),7051(a,2,1))]. 7053 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4250(a,1),7052(a,2,1))]. 7054 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = (K(w,v5) / v5) / (K(x \ (z * y),(z * y) \ x) / T(v5,w)). [para(6876(a,1),6131(a,2,2,1))]. 7055 (T(K(x \ 1,y),z) * (x \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(90(a,1),6222(a,1,1,2,1))]. 7056 ((x \ 1) * T(K(x \ 1,y),z)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(3349(a,1),7055(a,1,1))]. 7057 T(K(x \ 1,y),z) * K(x \ 1,x) = (x \ T(K(x \ 1,y),z)) * x. [para(6384(a,1),7056(a,1,1)),flip(a)]. 7058 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ T(K(x \ 1,z),y)) * x. [para(6080(a,2),7057(a,1,1))]. 7059 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ K(T(x,y) \ 1,z)) * x. [para(6080(a,2),7058(a,2,1,2))]. 7060 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(285,a,4932,a,b,6351,a)]. 7061 ((x * y) * T(T((x * y) \ x,y),z)) / x = T(y \ K(y,x),z) * ((x * y) / x). [hyper(66,a,7009,a(flip),b,6536,a)]. 7062 (x * (y * T(T(y \ 1,y),z))) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(831(a,1),7061(a,1,1))]. 7063 T(x \ K(x,y),z) * ((y * x) / y) = (y * (T(x \ 1,z) * x)) / y. [para(221(a,1),7062(a,1,1,2)),flip(a)]. 7064 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3839(a,1),7060(a,1,1)),flip(a)]. 7065 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7064(a,1),6372(a,1,1)),flip(a)]. 7066 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(7064(a,1),6373(a,1,2)),flip(a)]. 7067 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3657(a,1),5009(a,1,2))]. 7068 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4869(a,1),5010(a,1,2)),flip(a)]. 7069 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(285,a,23,a,b,7068,a),flip(a)]. 7072 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1388(a,1),7069(a,1,2)),flip(a)]. 7074 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(66,a,6983,a(flip),b,7072,a),flip(a)]. 7077 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [hyper(124,a,7074,a(flip),b,23,a(flip))]. 7078 R(x,y,K(z,y \ 1)) = x. [hyper(475,a,7077,a)]. 7080 R(x,y \ 1,K(z,y)) = x. [para(4596(a,1),7078(a,1,3))]. 7081 R(x,y \ z,K(u,z \ y)) = x. [para(6392(a,1),7078(a,1,3))]. 7082 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(66,a,5209,a(flip),b,7080,a)]. 7083 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7081(a,1),462(a,1,1))]. 7084 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5128(a,1),7082(a,1,2))]. 7085 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(180,a,7084,a)]. 7087 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7083(a,1),6890(a,1,2))]. 7088 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(66,a,6612,a(flip),b,7087,a),flip(a)]. 7090 T(x,(y \ z) * (z \ y)) = x. [hyper(57,a,7088,a)]. 7093 T(x,y * ((z * y) \ z)) = x. [para(14(a,1),7090(a,1,2,1))]. 7096 K(x,y * ((z * y) \ z)) = 1. [hyper(58,a,7093,a)]. 7098 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(774,a,5398,a),flip(a)]. 7099 T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). [hyper(5890,a,7098,a)]. 7100 ((x * y) * z) \ (R(y,x,z) * (x * z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(223(a,1),5815(a,1,2))]. 7101 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(112(a,1),7100(a,1,2)),flip(a)]. 7102 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(66,a,5704,a(flip),b,5974,a),flip(a)]. 7104 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(285,a,5830,a(flip),b,7102,a),flip(a)]. 7105 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,5704,a(flip),b,7104,a)]. 7107 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(66,a,5830,a(flip),b,7105,a)]. 7108 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6836(a,1),6077(a,1,1))]. 7109 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(285,a,5718,a(flip),b,7108,a),flip(a)]. 7110 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(35(a,1),7109(a,1,1,2))]. 7111 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1354(a,1),6118(a,1,2))]. 7112 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(14(a,1),7111(a,1,2,1,2,1))]. 7113 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6779(a,1),6609(a,1,1))]. 7114 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(66,a,5602,a(flip),b,6905,a),flip(a)]. 7116 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(66,a,6904,a(flip),b,7114,a)]. 7117 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(242(a,1),7116(a,1,2,2))]. 7118 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,x \ y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(5623(a,2),6964(a,1,2,1))]. 7119 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(66,a,4842,a(flip),b,7067,a)]. 7120 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3749(a,1),7119(a,1,2))]. 7121 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5664,a,7120,a),flip(a)]. 7123 R(x,1 / y,z) = R(x,y \ 1,z). [para(1103(a,1),7121(a,1,2)),flip(a)]. 7127 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7123(a,1),3589(a,1,2))]. 7128 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2954(a,1),7127(a,1,2,1))]. 7129 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4039(a,1),7128(a,1,2,1)),flip(a)]. 7130 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4711(a,1),7129(a,1,1)),flip(a)]. 7131 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(180,a,7130,a)]. 7132 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(66,a,3425,a(flip),b,7131,a)]. 7133 T(x,y * (((z * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(90(a,1),4997(a,1,2,2,1,1,1))]. 7135 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3735(a,1),7133(a,1,2,2,1)),flip(a)]. 7136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(66,a,7002,a,b,7135,a)]. 7137 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3646(a,1),7136(a,1,2))]. 7138 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(66,a,4809,a(flip),b,7137,a),flip(a)]. 7140 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(122,a,7138,a(flip),b,5130,a(flip)),flip(a)]. 7141 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(285,a,5125,a,b,7140,a),flip(a)]. 7142 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1905(a,1),7141(a,1,2,2,1))]. 7143 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(15(a,1),7142(a,2,2))]. 7144 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(87(a,1),7142(a,1,2,2,1)),flip(a)]. 7145 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(90(a,1),7142(a,1,2,2)),flip(a)]. 7146 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2770(a,2),7142(a,1,2,2))]. 7147 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(14(a,1),7143(a,1,2,2)),flip(a)]. 7148 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2960(a,1),7143(a,1,2,2))]. 7149 K(x,K(y \ 1,y) * z) = K(x,z). [para(2991(a,1),7143(a,1,2))]. 7150 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2649(a,1),7149(a,1,2)),flip(a)]. 7153 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2915(a,1),7149(a,1,2))]. 7154 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2976(a,1),7149(a,1,2))]. 7155 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(3130(a,1),7149(a,1,2))]. 7156 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3656(a,2),7149(a,1,2))]. 7157 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3892(a,1),7149(a,1,2)),flip(a)]. 7158 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4852(a,1),7149(a,1,2)),flip(a)]. 7159 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4883(a,2),7149(a,1,2))]. 7160 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4884(a,1),7149(a,1,2))]. 7161 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4886(a,1),7149(a,1,2))]. 7163 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4895(a,1),7149(a,1,2))]. 7164 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(5020(a,2),7149(a,1,2))]. 7165 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5021(a,2),7149(a,1,2))]. 7167 K(x,(1 / x) * y) * y = x * (y / x). [para(7147(a,2),5571(a,1,1))]. 7169 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2933(a,2),7153(a,1,2,1))]. 7170 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(66,a,6208,a(flip),b,7154,a),flip(a)]. 7171 x * K(x \ (1 / y),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(7154(a,1),3621(a,1,2))]. 7172 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7157(a,1),6934(a,1,1)),flip(a)]. 7173 (1 / x) * K(y,y \ (x \ 1)) = y * ((1 / x) / y). [hyper(124,a,7158,a(flip),b,5434,a)]. 7174 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [hyper(124,a,7158,a(flip),b,5408,a)]. 7175 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5729(a,1),7167(a,1,1))]. 7176 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2649(a,1),7156(a,1,2,1)),flip(a)]. 7178 K(x,(T(y \ 1,y) * z) / u) = K(x,((y \ 1) * z) / u). [para(3743(a,1),7156(a,1,2,1))]. 7179 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1906(a,1),7159(a,1,2,1,1))]. 7180 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2860(a,1),7159(a,1,2,1))]. 7181 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(2975(a,1),7159(a,1,2,1)),flip(a)]. 7182 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3637(a,1),7159(a,1,2)),flip(a)]. 7183 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1906(a,1),7164(a,1,2,2,1))]. 7184 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2888(a,1),7164(a,1,2,2))]. 7185 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(2947(a,1),7164(a,1,2,2))]. 7186 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4879(a,1),7164(a,1,2,2)),flip(a)]. 7187 K(x,y / (T(z \ 1,z) * u)) = K(x,y / ((z \ 1) * u)). [para(5158(a,1),7164(a,1,2,2)),flip(a)]. 7188 K(x,y / (z * (1 / (1 / (z \ u))))) = K(x,y / u). [para(2617(a,1),7165(a,1,2,2))]. 7189 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(66,a,4666,a(flip),b,7170,a)]. 7190 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(66,a,4665,a(flip),b,7170,a),flip(a)]. 7191 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(124,a,7170,a(flip),b,5434,a),flip(a)]. 7192 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(7190(a,1),5500(a,2,2))]. 7193 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7190(a,1),6211(a,1,2))]. 7194 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4894(a,1),7179(a,1,2,1))]. 7195 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5036(a,2),7179(a,1,2,1))]. 7196 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(2835(a,1),7182(a,1,2,2))]. 7197 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2888(a,1),7182(a,1,2,2))]. 7198 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2947(a,1),7182(a,1,2,2))]. 7199 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3710(a,1),7183(a,1,2,2))]. 7200 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3711(a,1),7183(a,1,2,2))]. 7201 K(x,y / ((((z \ 1) \ 1) * u) \ w)) = K(x,y / ((z * u) \ w)). [para(4894(a,1),7183(a,1,2,2))]. 7202 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(5962(a,1),7183(a,1,2,2))]. 7203 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(66,a,6611,a,b,7160,a)]. 7204 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(7161(a,1),5619(a,1,2,2))]. 7206 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(87(a,1),7176(a,1,2,1,2)),flip(a)]. 7207 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(66,a,2922,a(flip),b,7191,a),flip(a)]. 7208 ((1 / ((1 / x) * (x / y))) \ y) * K(((1 / x) * (x / y)) \ 1,a(1 / x,x / y,y)) = y / (1 / ((1 / x) * (x / y))). [para(865(a,1),7193(a,1,2,2))]. 7209 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(6497,a,7207,a)]. 7210 x * K(y,x * (y \ 1)) = y * (x / y). [para(3341(a,1),7207(a,1,2))]. 7211 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(37,a,5435,a,b,7210,a),flip(a)]. 7212 T(x,y * (x \ 1)) = T(x,y / x). [hyper(224,a,7210,a(flip),b,6321,a),flip(a)]. 7214 K(x,y * (1 / x)) = K(x,x \ y). [hyper(66,a,7150,a,b,7211,a)]. 7215 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(285,a,4123,a(flip),b,7212,a),flip(a)]. 7216 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(7214(a,1),5344(a,1,2)),flip(a)]. 7217 K(x * (1 / y),y) = K(y \ x,y). [hyper(285,a,5344,a(flip),b,7216,a),flip(a)]. 7218 K(x * (y \ 1),y) = K(y \ x,y). [hyper(66,a,6688,a(flip),b,7217,a)]. 7219 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(87(a,1),7217(a,1,1,2)),flip(a)]. 7220 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(66,a,5328,a(flip),b,7218,a)]. 7221 K(x \ (y / (x \ 1)),x) = K(y,x). [para(17(a,1),7218(a,1,1)),flip(a)]. 7222 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(7221(a,1),5390(a,2,2))]. 7223 K(R(x,y,y \ 1),y) = K(x,y). [hyper(285,a,625,a(flip),b,7220,a),flip(a)]. 7224 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5297,a,7223,a),flip(a)]. 7226 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(7223(a,1),6520(a,1,1))]. 7227 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5138,a,7224,a),flip(a)]. 7228 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(285,a,3789,a,b,7224,a),flip(a)]. 7229 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(122,a,7227,a,b,5130,a(flip)),flip(a)]. 7230 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(285,a,5125,a,b,7229,a)]. 7231 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(285,a,3769,a,b,7229,a),flip(a)]. 7232 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(7230(a,1),5426(a,1,1))]. 7233 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(285,a,6408,a(flip),b,7219,a),flip(a)]. 7234 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(66,a,4660,a(flip),b,7219,a),flip(a)]. 7235 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [hyper(124,a,7219,a(flip),b,97,a),flip(a)]. 7236 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(7234(a,1),5252(a,1,1,2))]. 7237 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(7236(a,1),5597(a,1,1)),flip(a)]. 7238 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(7231(a,2),4369(a,2,1,1))]. 7239 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5464,a,7232,a)]. 7240 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(7209(a,1),6433(a,1,1)),flip(a)]. 7241 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5771,a,7235,a)]. 7242 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(15(a,1),7235(a,2,2,1))]. 7243 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(225,a,7237,a),flip(a)]. 7244 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(7243(a,1),1830(a,1,2,1,1))]. 7245 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(7243(a,2),1830(a,1,1))]. 7246 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(16(a,1),7175(a,2,2))]. 7247 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5313,a,7246,a),flip(a)]. 7248 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(66,a,7023,a,b,7247,a)]. 7249 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2961(a,1),7247(a,1,2))]. 7250 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2984(a,1),7249(a,1,2,1)),flip(a)]. 7251 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(66,a,5982,a(flip),b,7226,a),flip(a)]. 7252 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1246(a,1),7251(a,1,2,1))]. 7253 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(180,a,7252,a),flip(a)]. 7254 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(337,a,7253,a)]. 7255 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(7222(a,1),1334(a,2,1,2))]. 7256 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(4596(a,1),7240(a,1,2))]. 7257 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(7218(a,1),7256(a,1,2)),flip(a)]. 7258 x * ((y * (x / y)) \ 1) = K(y \ x,y). [hyper(124,a,7257,a,b,xx)]. 7260 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(66,a,4738,a(flip),b,7254,a)]. 7261 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(285,a,5055,a(flip),b,7260,a),flip(a)]. 7262 x * K(x \ (y \ 1),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(6697(a,1),7171(a,1,2))]. 7263 K(x,y / (z * ((u \ 1) * x))) = K(x,y / (z * (x / u))). [hyper(66,a,6904,a(flip),b,7186,a)]. 7264 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2948(a,1),7195(a,1,2,1,1)),flip(a)]. 7265 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(87(a,1),7199(a,1,2,2,1,2)),flip(a)]. 7266 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6392(a,1),7242(a,2,2))]. 7267 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(285,a,5435,a(flip),b,7266,a),flip(a)]. 7269 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(66,a,6216,a,b,7267,a)]. 7270 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(136,a,7269,a)]. 7271 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(597(a,1),7269(a,1,1))]. 7272 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(285,a,4741,a(flip),b,7271,a),flip(a)]. 7273 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(388,a,7272,a)]. 7274 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(14(a,1),7273(a,1,3)),flip(a)]. 7275 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(66,a,3776,a(flip),b,7274,a)]. 7276 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(4197(a,1),7274(a,1,2))]. 7277 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7275(a,1),1591(a,1,1,2))]. 7278 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1831,a,7277,a)]. 7279 (x * y) \ T(x,y) = (y * x) \ x. [hyper(66,a,4525,a(flip),b,7278,a)]. 7280 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(316,a,7279,a),flip(a)]. 7281 (x * y) * T(R(1 / y,y,x),x * y) = T(x,y). [hyper(124,a,6214,a,b,7279,a)]. 7282 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(246(a,1),7279(a,1,1))]. 7283 x * (T(y,x) * T(y \ (x \ y),z)) = (y * x) * T((x * y) \ y,z). [para(7279(a,1),7011(a,1,2,1)),flip(a)]. 7284 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(263,a,7281,a),flip(a)]. 7285 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(123,a,7281,a(flip),b,116,a(flip))]. 7286 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(122,a,7281,a(flip),b,116,a(flip))]. 7287 T(x,y) = (x / (y * x)) * (x * y). [hyper(285,a,365,a(flip),b,7284,a),flip(a)]. 7288 (x / (y * x)) \ T(x,y) = x * y. [hyper(122,a,7284,a,b,365,a(flip))]. 7289 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(7284(a,2),414(a,1,2,1,2))]. 7290 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(123,a,7287,a,b,152,a(flip))]. 7291 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7287(a,2),6322(a,1,1)),flip(a)]. 7293 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = ((x \ 1) * y) * K(x,x \ 1). [para(7288(a,1),3928(a,1,1)),flip(a)]. 7294 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(622,a,7285,a)]. 7295 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(7285(a,1),1514(a,1,1)),flip(a)]. 7296 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4076(a,1),7290(a,1,1))]. 7297 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(118(a,1),7294(a,1,3)),flip(a)]. 7298 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7297(a,1),367(a,1,1))]. 7299 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7298(a,1),723(a,1,2))]. 7300 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3029(a,1),7296(a,1,1))]. 7301 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5233(a,1),7296(a,1,1))]. 7303 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [hyper(180,a,7300,a(flip))]. 7304 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(285,a,357,a(flip),b,7276,a),flip(a)]. 7305 (1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))). [hyper(66,a,2755,a(flip),b,7262,a),flip(a)]. 7306 (1 / x) * (1 / (1 / ((1 / x) \ y))) = x \ (1 / (1 / (x * y))). [hyper(66,a,3620,a,b,7305,a)]. 7307 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = K(R(x,z,u) \ 1,y \ x). [hyper(285,a,5969,a(flip),b,7172,a),flip(a)]. 7308 (x * y) * T((y * x) \ x,z) = K(y \ 1,z) * T(x,y). [hyper(6187,a,7283,a),flip(a)]. 7309 (x * y) * T((y * x) \ x,z) != u | K(y \ 1,z) * T(x,y) = u. [para(7283(a,1),6187(a,1))]. 7310 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(32(a,2),7289(a,2,1))]. 7311 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(7279(a,1),7310(a,1,2,1)),flip(a)]. 7312 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [hyper(285,a,7308,a(flip),b,7311,a),flip(a)]. 7313 R(T(1 / x,y),x,z) * (z * x) != u | K(x \ 1,y) * T(z,x) = u. [para(7311(a,2),7309(a,1))]. 7314 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(285,a,1490,a,b,7312,a),flip(a)]. 7315 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6086(a,1),7146(a,1,2,2,2))]. 7316 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(66,a,6626,a(flip),b,7155,a)]. 7317 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(87(a,1),7204(a,1,2,2,2,2))]. 7319 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(285,a,4929,a,b,7317,a)]. 7320 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6551,a,7233,a)]. 7322 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(718(a,1),7238(a,1,1,2))]. 7323 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(7228(a,2),7322(a,1,1)),flip(a)]. 7324 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(185,a,7323,a)]. 7325 T(K(x,y),z) * T(K(y,x),z) = 1. [hyper(138,a,7323,a)]. 7326 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [hyper(124,a,7323,a(flip),b,465,a),flip(a)]. 7327 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(124,a,7323,a(flip),b,5134,a(flip))]. 7328 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(5973(a,1),7323(a,1,1,1)),flip(a)]. 7329 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7323(a,1),5357(a,1,2,1))]. 7331 K(K(x,y),z) = K(z,K(y,x)). [hyper(5478,a,7327,a)]. 7332 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2240,a,7327,a)]. 7333 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(66,a,6608,a,b,7327,a)]. 7334 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7327(a,1),5478(a,1))]. 7335 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6441(a,1),7327(a,1,2))]. 7336 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(124,a,7331,a,b,5125,a(flip))]. 7337 K(x,K(y,z)) * K(x,K(z,y)) = 1. [hyper(124,a,7331,a(flip),b,5320,a)]. 7338 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(7331(a,1),5190(a,2,1)),flip(a)]. 7339 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(7331(a,1),5364(a,1,1))]. 7340 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7331(a,1),5219(a,1,1))]. 7341 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5610,a,7336,a),flip(a)]. 7342 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5377,a,7336,a)]. 7343 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(7336(a,1),5191(a,1,1))]. 7344 T(K(x,y),K(z,y)) = K(x,y). [hyper(2235,a,7342,a),flip(a)]. 7345 T(K(x,y),K(x,z)) = K(x,y). [hyper(2230,a,7342,a),flip(a)]. 7347 K(x,y) * K(z,y) = K(z,y) * K(x,y). [hyper(124,a,7344,a(flip),b,27,a(flip))]. 7351 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(66,a,6527,a(flip),b,7332,a)]. 7353 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(66,a,7331,a(flip),b,7351,a),flip(a)]. 7354 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(32(a,2),7328(a,2,1))]. 7355 T(R(K(x,y),z,u) \ 1,w) = R(T(K(x,y),w),z,u) \ 1. [para(5975(a,1),7354(a,1,1))]. 7356 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = (1 / x) * y. [hyper(285,a,2950,a(flip),b,7293,a),flip(a)]. 7357 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(15(a,1),7316(a,1,2)),flip(a)]. 7359 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2398(a,2),7357(a,1,2,1))]. 7360 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(66,a,7250,a,b,7359,a)]. 7361 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(285,a,6630,a(flip),b,7360,a),flip(a)]. 7362 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6276,a,7319,a),flip(a)]. 7363 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2955,a,7362,a)]. 7364 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [hyper(2412,a,7362,a)]. 7365 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(66,a,5468,a,b,7362,a)]. 7366 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(315,a,7363,a)]. 7368 (x * ((1 / y) / x)) * y = K(x,x \ (y \ 1)). [hyper(4947,a,7366,a)]. 7369 K(x,(x * y) \ 1) = K(x,x \ (y \ 1)). [hyper(6622,a,7368,a)]. 7370 (x * K(y,y \ 1)) / K(z,z \ y) = x / ((y \ 1) * (z * (y / z))). [para(7364(a,1),4840(a,2,2))]. 7371 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6189(a,1),7365(a,1,2))]. 7372 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7323(a,1),7326(a,1,3)),flip(a)]. 7373 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7372(a,1),47(a,1))]. 7374 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(931(a,1),7255(a,1,2,1))]. 7375 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(7222(a,1),7374(a,1,2)),flip(a)]. 7376 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(180,a,7375,a)]. 7377 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(6393(a,1),7376(a,1,1))]. 7378 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(709,a,7377,a)]. 7379 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(138,a,7377,a)]. 7380 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7377(a,1),240(a,1,2)),flip(b)]. 7382 L(x,K(y,x),z) = x. [para(3185(a,1),7378(a,1,1))]. 7383 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(7382(a,1),34(a,1,1)),flip(a)]. 7384 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(7382(a,1),35(a,1,1)),flip(a)]. 7385 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(7382(a,1),413(a,1,2,1))]. 7388 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(7383(a,1),3249(a,1,2,2)),flip(a)]. 7389 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(7384(a,1),444(a,1,2,2)),flip(a)]. 7390 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(285,a,6394,a,b,7379,a),flip(a)]. 7392 (x * K(y,z)) * K(z,y) = x. [hyper(38,a,6336,a(flip),b,7379,a),flip(a)]. 7393 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(123,a,7379,a(flip),b,6336,a)]. 7394 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6322(a,1),7379(a,1,1)),flip(a)]. 7395 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6984,a,7392,a),flip(a)]. 7396 x / K(y,z) = x * K(z,y). [hyper(293,a,7392,a),flip(a)]. 7398 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(224,a,7392,a,b,5360,a)]. 7399 (x * K(y,z)) \ x = K(z,y). [hyper(128,a,7392,a)]. 7400 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(122,a,117,a,b,7392,a)]. 7401 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(38,a,7343,a,b,7392,a),flip(a)]. 7402 (x * T(y,z)) * K(z,y) = x * y. [hyper(38,a,6322,a,b,7392,a),flip(a)]. 7403 (x / y) * K(z,y) = x / T(y,z). [hyper(38,a,6319,a,b,7392,a),flip(a)]. 7404 (T(x,y) \ K(x,z)) * K(z,x) = T(x,y) \ 1. [hyper(38,a,6045,a,b,7392,a),flip(a)]. 7405 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(38,a,5631,a,b,7392,a),flip(a)]. 7406 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(38,a,2229,a,b,7392,a),flip(a)]. 7408 (x * K(y,z)) / z = x / T(z,y). [hyper(123,a,7392,a(flip),b,6321,a),flip(a)]. 7409 x * K(y,z) != u | u * K(z,y) = x. [para(7392(a,1),47(a,1)),flip(a)]. 7410 x / K(y,z) != u | x * K(z,y) = u. [para(7392(a,1),294(a,1,1)),flip(b)]. 7411 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7392(a,1),304(a,1,2)),flip(b)]. 7413 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7392(a,1),103(a,1,1))]. 7414 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7392(a,1),113(a,2,1))]. 7415 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7392(a,1),447(a,1,2,2))]. 7416 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7392(a,1),647(a,1,1,2))]. 7417 (x * K(y,z)) * T(z,y) = x * z. [para(7392(a,1),6311(a,1,1)),flip(a)]. 7418 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7392(a,1),6977(a,1,1)),flip(a)]. 7419 (x / T(y,z)) / K(z,y) = x / y. [hyper(285,a,6319,a(flip),b,7396,a),flip(a)]. 7420 (x * K(y,y \ 1)) / K(z,y) = x * (T(y,z) * (1 / y)). [hyper(285,a,5814,a(flip),b,7396,a),flip(a)]. 7421 (x * K(y,y \ 1)) * K(z \ y,z) = x / ((y \ 1) * (z * (y / z))). [hyper(66,a,7370,a(flip),b,7396,a),flip(a)]. 7422 (x * K(y,z)) * K(z,y) != u | x = u. [para(7396(a,1),237(a,1,1))]. 7425 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7396(a,1),487(a,1,1))]. 7426 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),708(a,1,1,2))]. 7427 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7396(a,1),1847(a,1,1,2))]. 7428 x / (K(y,z) \ 1) = x * K(y,z). [para(5320(a,2),7396(a,1,2))]. 7431 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(285,a,5950,a(flip),b,7399,a),flip(a)]. 7432 (x / T(y,z)) * y = x * K(z,y). [hyper(42,a,6359,a,b,7399,a)]. 7433 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7399(a,2),5334(a,1,1))]. 7434 (x / y) \ (x / T(y,z)) = K(z,y). [para(6319(a,1),7399(a,1,1))]. 7435 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6320(a,1),7399(a,1,1))]. 7436 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6344(a,2),7399(a,1,1))]. 7437 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6462(a,2),7399(a,1,1))]. 7438 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(6461(a,1),7399(a,1,1)),flip(a)]. 7439 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(6759(a,1),7399(a,1,1,2))]. 7440 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7018(a,1),7399(a,1,1,2)),flip(a)]. 7441 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(224,a,7402,a,b,5360,a)]. 7444 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7402(a,1),6311(a,1,1)),flip(a)]. 7445 ((x * T(y,z)) / z) * K(z,y) = (x * y) / z. [para(7402(a,1),6348(a,1,1)),flip(a)]. 7447 x / T(y \ x,z) = y * K(z,y \ x). [hyper(315,a,7403,a),flip(a)]. 7448 (x / y) * K(x,y) = T(x,y) / y. [hyper(285,a,4120,a,b,7403,a),flip(a)]. 7450 T(x / y,K(x,y)) = x / y. [hyper(224,a,7403,a,b,5584,a)]. 7452 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(7403(a,1),315(a,1))]. 7453 T(x / y,K(y,x)) = x / y. [hyper(43,a,7342,a,b,7450,a)]. 7455 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7405(a,1),113(a,2,2))]. 7456 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(7408(a,1),118(a,1,1))]. 7457 T(x * K(y,z),T(z,y)) = T(z,y) \ (x * z). [hyper(224,a,7417,a,b,15,a)]. 7458 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(128,a,7417,a)]. 7459 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(123,a,5197,a(flip),b,7417,a)]. 7460 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(122,a,5146,a(flip),b,7417,a)]. 7461 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(122,a,15,a(flip),b,7417,a)]. 7468 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(224,a,7428,a(flip),b,5360,a),flip(a)]. 7470 x * K(y,z) != u * z | x / T(z,y) = u. [para(7432(a,1),47(a,1))]. 7475 (x \ y) \ (y / T(T(x,x \ y),z)) = K(z,T(x,x \ y)). [para(249(a,1),7434(a,1,1))]. 7477 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(66,a,5402,a(flip),b,7448,a)]. 7479 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(7448(a,1),447(a,1,1))]. 7481 T(x,((y \ x) * y) \ 1) = (z * K(x \ 1,x)) \ (z * x). [para(6889(a,1),7458(a,1,1,2)),flip(a)]. 7485 T(x * K(y,x),z) \ T(x,z) != u | K(T(x,z),y) = u. [para(5595(a,1),7411(a,1,1))]. 7486 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5795(a,1),7411(a,1,1))]. 7487 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5798(a,1),7411(a,1,1))]. 7493 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6322(a,1),7422(a,1,1))]. 7495 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(7390(a,2),225(a,2))]. 7496 T(K(x,y) * z,K(x,y)) = z * K(x,y). [hyper(43,a,7342,a,b,7398,a)]. 7499 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(7398(a,1),383(a,1,2,1))]. 7500 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5334(a,2),7401(a,1,1))]. 7502 (((x \ y) \ y) * z) \ (x * z) = K(x \ y,T(x,z)). [para(117(a,1),7435(a,1,1,1))]. 7504 ((x * (y * T(y \ z,u))) / z) \ x = K(u,((x * y) / z) \ x). [para(1413(a,1),7436(a,1,1))]. 7505 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(7436(a,1),2570(a,2,1,2,1))]. 7507 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [hyper(285,a,112,a,b,7444,a),flip(a)]. 7508 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7444(a,1),4149(a,1,2))]. 7509 (x * K(y,x \ z)) \ z != u | T(x \ z,y) = u. [para(7447(a,1),307(a,1,1)),flip(b)]. 7511 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7496(a,1),28(a,1,1)),flip(a)]. 7512 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7496(a,2),225(a,2)),flip(a)]. 7513 x / T(K(y,z),x) = K(y,z) \ x. [hyper(38,a,4116,a,b,7500,a)]. 7514 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(180,a,7513,a)]. 7515 (K(x,y) * z) \ z = T(K(y,x),z). [para(5334(a,1),7514(a,1,1))]. 7516 x * ((K(y,z) * x) \ x) = K(z,y) * x. [hyper(124,a,7515,a,b,27,a(flip))]. 7518 (x * T(y / z,z)) * z = (x * (y / z)) * (y / (y / z)). [para(5129(a,2),7394(a,1,2)),flip(a)]. 7519 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(7394(a,1),5583(a,1,1))]. 7520 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(7395(a,1),7411(a,1,1))]. 7521 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5150(a,1),7418(a,1,2,1))]. 7522 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(17(a,1),7437(a,1,1,2,1)),flip(a)]. 7523 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5344(a,2),7468(a,1,1))]. 7526 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4153,a,7507,a)]. 7530 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(90(a,1),7438(a,2,1))]. 7531 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(66,a,6104,a(flip),b,7440,a),flip(a)]. 7532 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(124,a,6104,a(flip),b,7440,a(flip))]. 7533 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(185,a,7531,a)]. 7535 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6267(a,1),7531(a,1,1,2)),flip(a)]. 7536 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7531(a,1),7192(a,1,1)),flip(a)]. 7537 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(7532(a,1),304(a,1,2)),flip(b)]. 7539 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(7535(a,2),7411(a,1))]. 7540 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5764(a,1),7477(a,1,2))]. 7541 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7540(a,1),200(a,2,2))]. 7542 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(949(a,2),7425(a,2,2))]. 7543 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5446(a,1),7425(a,2,2))]. 7544 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(T(T(x,z),u),y) = w. [para(5595(a,1),7485(a,1,1,1))]. 7546 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7508(a,1),647(a,1))]. 7548 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(5490(a,1),7520(a,1))]. 7549 K((x * y) \ 1,x) != z | K(y \ (x \ 1),x) = z. [para(6662(a,1),7548(a,1))]. 7550 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5834(a,2),7549(a,1))]. 7551 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(7440(a,2),7537(a,1))]. 7552 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(176(a,1),7551(a,1,2,2))]. 7553 x / ((T(y,z) \ 1) * y) = x * (T(y,z) * (1 / y)). [hyper(66,a,5802,a(flip),b,7420,a)]. 7554 ((T(x,y) \ 1) * x) \ 1 = T(x,y) * (1 / x). [hyper(4701,a,7553,a)]. 7555 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = ((T(y,z) \ 1) * y) * ((T(y,z) * (1 / y)) * x). [para(7554(a,1),242(a,1,2,1)),flip(a)]. 7556 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5981(a,1),7431(a,1,1,2))]. 7557 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(185,a,7556,a)]. 7558 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(140,a,7556,a),flip(a)]. 7559 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(66,a,278,a,b,7556,a)]. 7560 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7556(a,1),297(a,1,2)),flip(b)]. 7561 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),7556(a,1,1))]. 7562 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7558(a,1),46(a,1)),flip(a)]. 7563 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7558(a,1),304(a,1,2)),flip(b)]. 7565 T(x,((y \ x) * y) \ 1) = T(x,x \ 1). [hyper(285,a,7458,a(flip),b,7481,a),flip(a)]. 7566 T(x,(y * (x / y)) \ 1) = T(x,x \ 1). [para(90(a,1),7565(a,1,2,1,1))]. 7567 (x * (y / z)) * (y / (y / z)) = (x * (z \ y)) * z. [para(118(a,1),7518(a,1,1,2)),flip(a)]. 7568 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(479,a,7519,a),flip(a)]. 7572 (((x * y) * T((x * y) \ (y * z),u)) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(1184(a,2),7504(a,1,1,1))]. 7573 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5335(a,1),7521(a,1,1,2))]. 7574 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5738(a,1),7573(a,2,2))]. 7575 R(x,K(y \ 1,z),y) = x. [hyper(5005,a,7574,a)]. 7576 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,7574,a)]. 7577 R(x,y,K(y \ 1,z)) = x. [hyper(6862,a,7575,a)]. 7579 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(7577(a,1),112(a,1,1)),flip(a)]. 7580 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(445,a,7579,a)]. 7581 a(x,y,K(y \ 1,z)) = 1. [hyper(56,a,7580,a)]. 7582 a(x,y \ 1,K(y,z)) = 1. [para(3341(a,1),7581(a,1,3))]. 7583 L(K(x,y),x \ 1,z) = K(x,y). [hyper(55,a,7582,a)]. 7584 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(66,a,5946,a(flip),b,7583,a)]. 7585 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [hyper(124,a,7584,a(flip),b,5125,a(flip)),flip(a)]. 7586 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(285,a,5130,a,b,7585,a),flip(a)]. 7587 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7415,a,7561,a)]. 7588 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7396(a,1),7427(a,2,2))]. 7589 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(7411,a,7439,a),flip(a)]. 7590 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(138,a,7588,a)]. 7591 ((x * (y * T(y \ (x \ (y * z)),u))) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(830(a,1),7572(a,1,1,1))]. 7592 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(116(a,1),7591(a,1,1,1,2))]. 7593 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((x * y) / z) \ y). [para(116(a,1),7592(a,2,2,1,1))]. 7594 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((y * x) / z) \ x). [para(4972(a,1),7593(a,1,1,1))]. 7595 K(x,((y * x) / z) \ x) = K(x,((x * y) / z) \ x). [hyper(66,a,7504,a(flip),b,7594,a),flip(a)]. 7596 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(66,a,5835,a(flip),b,7189,a),flip(a)]. 7598 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(66,a,5835,a(flip),b,7596,a),flip(a)]. 7600 (x * (y / x)) / (((x \ 1) * y) \ y) = ((x \ 1) * y) * K(x,x \ y). [para(6538(a,1),5401(a,1,2)),flip(a)]. 7601 (x * (y / x)) / (((x \ 1) * y) \ y) = y / R(x,x \ 1,y). [hyper(285,a,6765,a(flip),b,7600,a),flip(a)]. 7602 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),5411(a,1,2,1,2,2))]. 7603 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(66,a,2155,a(flip),b,7602,a)]. 7604 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(116(a,1),7603(a,1,1,2))]. 7605 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4940(a,1),7604(a,1,1))]. 7606 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(295,a,7605,a)]. 7608 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7606(a,1),6877(a,1,1))]. 7609 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(295,a,7608,a),flip(a)]. 7610 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6366,a,7609,a)]. 7612 x / T(y,T(y,z) \ x) = y \ x. [hyper(7470,a,7610,a)]. 7613 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(37,a,271,a,b,7610,a),flip(a)]. 7615 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(39,a,249,a,b,7612,a),flip(a)]. 7618 K((x / y) \ z,x / y) = K((y \ x) \ z,x / y). [para(118(a,1),7613(a,1,1,1)),flip(a)]. 7620 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7613(a,1),5869(a,1,1,1,2))]. 7623 T(x,x \ (T(x,y) * z)) = T(x,z). [para(14(a,1),7615(a,1,2)),flip(a)]. 7625 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7623(a,1),3979(a,1,2))]. 7626 T(x,K(x,y) * z) = T(x,z). [para(5514(a,1),7623(a,1,2))]. 7627 T(x,K(x,y) \ z) = T(x,z). [para(15(a,1),7626(a,1,2)),flip(a)]. 7628 T(x,K(y,x) * z) = T(x,z). [para(5360(a,1),7626(a,1,2)),flip(a)]. 7629 T(x,T(y,x) * z) = T(x,y * z). [para(5158(a,1),7626(a,1,2)),flip(a)]. 7630 T(x,T(x,y) * z) = T(x,x * z). [para(5219(a,1),7626(a,1,2))]. 7633 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7626(a,1),5595(a,1,1))]. 7634 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5854(a,1),7626(a,1,2)),flip(a)]. 7635 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5196(a,2),7627(a,1,2))]. 7637 T(x,K(y,x) * T(x,z)) = x. [hyper(285,a,170,a(flip),b,7628,a),flip(a)]. 7638 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7628(a,1),4524(a,1,3))]. 7639 T(x,y * T(z,x)) = T(x,y * z). [para(5832(a,1),7628(a,1,2))]. 7640 T(x,y \ T(z,x)) = T(x,y \ z). [para(5824(a,1),7628(a,1,2))]. 7642 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7629(a,1),853(a,1,1)),flip(a)]. 7643 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(66,a,4182,a,b,7635,a)]. 7644 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(118(a,1),7640(a,1,2,2)),flip(a)]. 7645 T(x / (x / y),z) \ x = x / T(y,z). [para(5073(a,2),7620(a,1,1,1))]. 7646 L(x,x \ y,x) \ y = y / T(x,y). [para(5097(a,1),7620(a,1,1))]. 7647 x / T(y,L(y,z,u) * (y \ x)) = L(y,y \ x,L(y,z,u)) \ x. [para(5394(a,1),7620(a,1,1)),flip(a)]. 7649 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(185,a,7645,a)]. 7651 T(x / (x / K(y,z)),x) = K(y,z). [hyper(42,a,7513,a(flip),b,7645,a),flip(a)]. 7653 x / T(y \ x,z) = T(x / y,z) \ x. [para(87(a,1),7645(a,1,1,1,2)),flip(a)]. 7654 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(181(a,1),7645(a,1,1,1)),flip(a)]. 7655 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(6942(a,1),7645(a,1,1,1)),flip(a)]. 7656 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7651(a,1),52(a,1)),flip(a)]. 7658 T(x / (x / y),x) = x / (T(x,y) / y). [para(4120(a,2),7649(a,1,2)),flip(a)]. 7660 T(x / y,z) \ x = y * K(z,y \ x). [hyper(7452,a,7653,a),flip(a)]. 7661 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(180,a,7653,a)]. 7662 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(122,a,7653,a(flip),b,7447,a(flip))]. 7664 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(117(a,2),7654(a,1,2,1))]. 7665 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(282(a,2),7654(a,1,2))]. 7666 x / T((y \ x) * y,z) = T((y \ x) * y,z) \ x. [para(5432(a,1),7654(a,1,2,1))]. 7667 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(66,a,4273,a(flip),b,7658,a)]. 7668 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(7667(a,2),4942(a,1,1,1,2))]. 7669 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(185,a,7660,a)]. 7671 L(K(x,(y \ 1) \ z),y \ 1,y) != u | y * (T(z / (y \ 1),x) \ z) = u. [para(7662(a,1),539(a,1,1))]. 7673 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [para(7664(a,1),7475(a,1,2))]. 7674 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(180,a,7665,a),flip(a)]. 7675 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(27(a,2),7669(a,1,2,2,2))]. 7676 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(66,a,7371,a(flip),b,7666,a),flip(a)]. 7677 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(16(a,1),7675(a,2,1))]. 7678 T(x,y) \ (x * z) = z * K(y,T(x,z)). [hyper(180,a,7677,a)]. 7679 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(5944,a,7678,a)]. 7680 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(5675,a,7678,a),flip(a)]. 7681 K(x,T(y,z)) = T(K(x,y),z). [hyper(5592,a,7678,a),flip(a)]. 7682 x * K(y,T(z,x)) = K(y,z) * x. [hyper(5591,a,7678,a),flip(a)]. 7683 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [hyper(66,a,4297,a,b,7678,a)]. 7684 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7678(a,1),5591(a,1))]. 7685 T(K(x * y,x),y) = K(x * y,x). [hyper(6122,a,7681,a),flip(a)]. 7686 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(285,a,7338,a,b,7681,a)]. 7687 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(285,a,6459,a,b,7681,a)]. 7688 K(x,T(y,y \ z)) = K(x,T(y,z)). [hyper(285,a,6439,a,b,7681,a)]. 7689 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(285,a,6425,a,b,7681,a)]. 7690 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(285,a,6108,a,b,7681,a)]. 7691 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(285,a,6080,a,b,7681,a)]. 7692 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(285,a,6007,a,b,7681,a),flip(a)]. 7693 K(x,T(y,K(x,z))) = K(x,y). [hyper(285,a,7345,a(flip),b,7681,a),flip(a)]. 7694 K(x / y,T(z,x)) = K(y \ x,z). [hyper(285,a,6460,a(flip),b,7681,a),flip(a)]. 7695 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(285,a,6441,a(flip),b,7681,a),flip(a)]. 7696 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(285,a,6440,a(flip),b,7681,a),flip(a)]. 7697 K(x,T(y / z,y)) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7681,a),flip(a)]. 7698 K(x,T(y,z * (x / z))) = K(x,y). [hyper(285,a,4930,a(flip),b,7681,a),flip(a)]. 7699 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(285,a,3371,a(flip),b,7681,a),flip(a)]. 7700 K(x,T(y,T(x,z))) = K(x,y). [hyper(285,a,3359,a(flip),b,7681,a),flip(a)]. 7701 K(x,T(y,K(z,x))) = K(x,y). [hyper(285,a,2227,a(flip),b,7681,a),flip(a)]. 7702 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(124,a,7681,a,b,7515,a)]. 7703 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(66,a,6439,a(flip),b,7681,a),flip(a)]. 7704 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(124,a,7681,a(flip),b,5125,a(flip))]. 7705 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(30(a,2),7681(a,1,2))]. 7707 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7681(a,2),582(a,1,2,2))]. 7708 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7681(a,2),6549(a,1))]. 7709 K(x,T(y,z)) * T(K(y,x),z) = 1. [para(7681(a,2),7325(a,1,1))]. 7710 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7681(a,2),7327(a,1,2))]. 7711 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7681(a,2),7340(a,2,1))]. 7712 T(R(K(x,y),z,u) \ 1,w) = R(K(x,T(y,w)),z,u) \ 1. [para(7681(a,2),7355(a,2,1,1))]. 7713 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7329(a,1,1))]. 7714 T(K(x,y),K(z,y) * T(y,u)) = K(x,y). [para(7637(a,1),7681(a,1,2)),flip(a)]. 7715 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7681(a,2),7681(a,1,2))]. 7716 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [hyper(124,a,7700,a(flip),b,5722,a),flip(a)]. 7717 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(118(a,1),7700(a,1,2)),flip(a)]. 7718 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7700(a,2),3193(a,1,2))]. 7720 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(118(a,1),7699(a,1,2)),flip(a)]. 7721 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7699(a,1),5890(a,1,2))]. 7723 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(7409,a,7682,a)]. 7724 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(37,a,3354,a,b,7682,a),flip(a)]. 7725 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(30(a,2),7682(a,1,2,2))]. 7726 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7682(a,1),46(a,1))]. 7727 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(3980(a,1),7682(a,1,2,2))]. 7728 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5617(a,1),7682(a,1,2,2))]. 7729 K(x * y,x) * y = y * K(x * y,x). [para(5765(a,1),7682(a,1,2)),flip(a)]. 7730 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(118(a,1),7724(a,1,2)),flip(a)]. 7731 K(x,T(y,(1 / (z / x)) * z)) = K(x,y). [para(507(a,1),7724(a,1,2,2))]. 7732 R(x,y,K(z,T(y,u))) = x. [para(7687(a,1),6521(a,1,3))]. 7733 R(x,y \ 1,K(z,T(y,u))) = x. [para(7687(a,1),7080(a,1,3))]. 7734 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7732(a,1),112(a,1,1)),flip(a)]. 7735 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5150(a,1),7733(a,1,3,2))]. 7736 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(124,a,7688,a(flip),b,7673,a)]. 7737 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4313(a,2),7688(a,1,2,2))]. 7738 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(66,a,617,a,b,7689,a)]. 7739 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(1240(a,1),7689(a,1,2,1))]. 7740 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(4286(a,1),7689(a,1,2)),flip(a)]. 7741 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7689(a,1),6634(a,1,1)),flip(a)]. 7742 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(7433(a,1),7689(a,1,2)),flip(a)]. 7743 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(66,a,7031,a,b,7694,a)]. 7744 K(x / y,x \ z) = K(y \ x,z / x). [para(118(a,1),7694(a,1,2))]. 7745 K(L(x,y,z) / u,T(x,w)) = K(u \ L(x,y,z),T(x,w)). [para(199(a,1),7694(a,1,2))]. 7746 T((x / y) \ 1,K(y \ x,z)) = (x / y) \ 1. [para(7694(a,1),1383(a,1,2))]. 7748 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7694(a,1),4072(a,1,3))]. 7750 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5566(a,1),7694(a,1,2))]. 7753 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7694(a,1),7031(a,1,1)),flip(a)]. 7754 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(490(a,1),7697(a,1,2))]. 7755 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(118(a,1),7698(a,1,2)),flip(a)]. 7756 x * K(T(y,x),z) = K(y,z) * x. [hyper(7409,a,7702,a)]. 7757 T(K(x,y),y) != z | K(x,y) = z. [para(7703(a,1),192(a,1))]. 7758 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6012,a,7704,a),flip(a)]. 7759 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7704(a,1),7333(a,1,2,2))]. 7760 K(T(x,y),z) = T(K(x,z),y). [hyper(5364,a,7709,a)]. 7761 K(T(x,y),z) = K(x,T(z,y)). [hyper(285,a,7681,a,b,7760,a),flip(a)]. 7762 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(285,a,6459,a,b,7760,a)]. 7763 K(T(x \ K(x,y),y),z) = K(x \ 1,z). [hyper(285,a,6741,a(flip),b,7760,a),flip(a)]. 7764 K(T(x,y),y / z) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7760,a),flip(a)]. 7765 x * K(T(y,x),z) = K(z,y) \ x. [hyper(124,a,7760,a,b,5449,a)]. 7767 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7760(a,1),5190(a,2,1)),flip(a)]. 7768 K(T(x * y,x),y) = K(x * y,y). [hyper(285,a,5784,a(flip),b,7761,a),flip(a)]. 7769 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(66,a,7399,a,b,7761,a)]. 7770 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(66,a,3346,a(flip),b,7761,a),flip(a)]. 7771 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(124,a,7761,a(flip),b,7434,a)]. 7772 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(32(a,2),7761(a,1,1))]. 7773 K(T(x,R(y,z,u)),y) = K(x,y). [para(168(a,1),7761(a,2,2))]. 7774 K(x / y,T(z,y)) = K(y \ x,z). [para(118(a,1),7761(a,1,1)),flip(a)]. 7775 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(191(a,1),7761(a,1,1)),flip(a)]. 7776 K((x * y) / x,T(z,x)) = K(y,z). [para(208(a,1),7761(a,1,1)),flip(a)]. 7777 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(197(a,1),7761(a,1,1)),flip(a)]. 7778 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1383(a,1),7761(a,1,1)),flip(a)]. 7779 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7761(a,1),5190(a,2,1)),flip(a)]. 7781 R(x,y,K(T(y,z),u)) = x. [para(7761(a,2),6353(a,1,3))]. 7782 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7761(a,1),7409(a,1,2))]. 7783 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7761(a,1),7411(a,1,1,2))]. 7784 (x * K(y,T(x \ z,u))) \ z = T(x \ z,T(y,u)). [para(7761(a,1),7461(a,1,1,2))]. 7785 (x * K(y,T(x \ z,u))) \ z != w | T(x \ z,T(y,u)) = w. [para(7761(a,1),7509(a,1,1,2))]. 7786 R(x,(y * z) / y,K(z,u)) = x. [para(208(a,1),7781(a,1,3,1))]. 7788 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7786(a,1),463(a,1,1))]. 7789 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2102,a,7756,a),flip(a)]. 7790 K(x / y,z) * y = y * K(y \ x,z). [para(118(a,1),7756(a,1,2,1)),flip(a)]. 7792 K(T(x,x \ y),z) = K(T(x,y),z). [para(117(a,2),7762(a,1,1))]. 7793 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7762(a,1,1,1)),flip(a)]. 7794 K(T(x,y * x),z) = K(T(x,y),z). [para(4140(a,2),7762(a,1,1)),flip(a)]. 7795 K(T(x \ 1,x * y),z) = K(T(x \ 1,y),z). [para(4285(a,2),7762(a,1,1))]. 7796 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7762(a,1),6661(a,1,1)),flip(a)]. 7797 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7433(a,1),7762(a,1,1)),flip(a)]. 7798 K(T(T(x / y,z),x),u) = K(T(y \ x,z),u). [para(7661(a,1),7762(a,1,1)),flip(a)]. 7799 K(T(T(x,y),x \ z),u) = K(T(T(x,y),z),u). [para(7674(a,2),7762(a,1,1))]. 7800 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(197(a,1),7764(a,1,1))]. 7801 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(198(a,1),7764(a,1,1))]. 7802 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6557,a,7774,a)]. 7803 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(66,a,5836,a(flip),b,7774,a),flip(a)]. 7804 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(169(a,1),7774(a,1,2))]. 7806 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7775(a,1),5190(a,2,1))]. 7807 R(x,T(y,z),K(u,y)) = x. [para(7776(a,1),6521(a,1,3))]. 7808 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(4836,a,7807,a),flip(a)]. 7809 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(66,a,7414,a(flip),b,7807,a),flip(a)]. 7810 R(x,y \ K(y,z),K(u,y)) = x. [para(5359(a,1),7735(a,1,2))]. 7811 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(66,a,7455,a(flip),b,7810,a)]. 7812 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(118(a,1),7777(a,1,2)),flip(a)]. 7813 K(((x / y) * x) \ (y * (x / y)),z) = K((y \ x) \ 1,T(z,x)). [hyper(66,a,6488,a,b,7691,a)]. 7814 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(169(a,1),7691(a,1,1,1)),flip(a)]. 7815 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(66,a,7335,a(flip),b,7710,a)]. 7816 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(66,a,7353,a,b,7815,a)]. 7817 R(x,y * z,K(y,K(z,u))) = x. [para(7816(a,1),6353(a,1,3))]. 7818 R(x,y * z,K(y,K(z,u))) != w | x = w. [para(7817(a,1),54(a,2))]. 7819 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6712(a,1),7729(a,1,1)),flip(a)]. 7820 K(x,T(y,((z / x) \ 1) * z)) = K(x,y). [para(4813(a,1),7731(a,1,2))]. 7821 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(7736(a,1),7417(a,1,1))]. 7823 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7769(a,1),7411(a,1))]. 7824 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7778(a,1),5177(a,1,2)),flip(a)]. 7825 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5744,a,7779,a)]. 7828 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(285,a,7691,a,b,7803,a)]. 7829 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(285,a,5190,a,b,7806,a),flip(a)]. 7830 T(x,T(y,T(x,z))) = T(x,y). [para(115(a,1),7829(a,1,2,2,1))]. 7832 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5150(a,1),7829(a,1,2,2,1))]. 7833 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(230(a,1),7830(a,1,2,2))]. 7834 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5150(a,1),7830(a,1,2,2))]. 7835 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7830(a,1),5723(a,1,1)),flip(a)]. 7837 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7681(a,2),7825(a,1,2,2))]. 7838 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(66,a,6467,a(flip),b,7828,a)]. 7839 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7838(a,1),5302(a,2,2,2)),flip(a)]. 7842 K(x,(((y / x) \ 1) * y) / z) != u | K(x,z \ (((y / x) \ 1) * y)) = u. [para(7820(a,1),7708(a,1))]. 7843 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4184(a,1),7683(a,1,2,1))]. 7844 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(66,a,7117,a(flip),b,7730,a),flip(a)]. 7845 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(3090(a,1),7844(a,1,2,1))]. 7846 K(L(x,y,y \ 1) \ z,x) = u / (K(x,x \ z) * u). [para(7845(a,1),5448(a,1,2,1)),flip(a)]. 7847 K(x,T((y * z) \ 1,z \ 1)) = K(x,T((y * z) \ 1,y)). [para(6594(a,1),7740(a,1,2))]. 7848 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6560(a,2),7759(a,1,2))]. 7849 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(118(a,1),7771(a,1,2,2))]. 7850 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7808(a,1),3024(a,2,2))]. 7852 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5130(a,2),7811(a,1,1))]. 7853 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(180,a,7852,a(flip))]. 7854 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5318(a,1),7853(a,2,2))]. 7855 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7833(a,1),28(a,1,1)),flip(a)]. 7856 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(66,a,6917,a(flip),b,7834,a)]. 7857 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [hyper(124,a,7834,a(flip),b,27,a(flip))]. 7858 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5208,a,7848,a)]. 7859 K(x,K(y,z)) = K(z,K(y,x)). [hyper(66,a,7816,a(flip),b,7858,a)]. 7860 K(K(x,y),z) = K(x,K(y,z)). [hyper(7334,a,7859,a)]. 7861 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(285,a,7858,a(flip),b,7859,a),flip(a)]. 7862 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(124,a,7859,a,b,5125,a(flip))]. 7863 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [hyper(124,a,7859,a,b,21,a(flip))]. 7864 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7859(a,1),5142(a,2,1)),flip(a)]. 7865 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7859(a,1),5162(a,1,1))]. 7867 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(7859(a,1),7337(a,1,1))]. 7868 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7859(a,1),7338(a,1,1))]. 7869 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7859(a,1),7340(a,1,1))]. 7870 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(285,a,5973,a(flip),b,7860,a),flip(a)]. 7871 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [hyper(124,a,7860,a(flip),b,6358,a)]. 7872 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(124,a,7860,a(flip),b,5125,a(flip))]. 7873 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7860(a,1),5180(a,1,2))]. 7875 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(7860(a,1),5525(a,1,1,1))]. 7876 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7860(a,1),5983(a,2,1))]. 7877 (x * (y / K(z,u))) / (K(z,u) \ y) = x * K(z,K(u,K(z,u) \ y)). [para(7860(a,1),6578(a,2,2))]. 7878 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(93(a,1),7861(a,1,2,2))]. 7879 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6626(a,1),7861(a,1,2))]. 7881 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7339,a,7867,a)]. 7882 K(K(x,y),z) = K(y,K(z,x)). [hyper(5364,a,7867,a)]. 7883 K(K(x,y),z) = K(y,K(x,z)). [hyper(285,a,7860,a,b,7881,a)]. 7884 K(x,K(y,z)) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7881,a),flip(a)]. 7885 L(K(x \ 1,K(y,z)),u,w) = K(y,K(L(x,u,w) \ 1,z)). [hyper(285,a,5977,a,b,7881,a)]. 7886 K(x,K(y,x \ y)) = 1. [hyper(285,a,5624,a(flip),b,7881,a),flip(a)]. 7888 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(124,a,7881,a,b,5125,a(flip))]. 7889 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7881(a,1),5190(a,2,1)),flip(a)]. 7891 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7881(a,1),5259(a,1,1))]. 7892 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7881(a,1),5152(a,1,2,1))]. 7893 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(7881(a,1),5525(a,1,1,1))]. 7894 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(7881(a,1),5542(a,2,2))]. 7895 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(7881(a,1),5537(a,1,1,1))]. 7896 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7881(a,1),6375(a,1,2))]. 7897 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6626(a,2),7881(a,1,2))]. 7898 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(7881(a,1),6899(a,1,3))]. 7900 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(7881(a,1),7686(a,1,1))]. 7901 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7881(a,1),7862(a,1,2))]. 7902 T(x,K(y,x \ y)) = x. [hyper(59,a,7886,a)]. 7903 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(7902(a,1),5178(a,1,2,1)),flip(a)]. 7906 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [hyper(124,a,7882,a(flip),b,5125,a(flip))]. 7907 K(K(x,y),z) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7883,a),flip(a)]. 7908 K(x,K(y,z)) = K(x,K(z,y)). [hyper(66,a,7882,a(flip),b,7883,a)]. 7909 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7883(a,1),5146(a,1,1))]. 7910 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5973(a,1),7883(a,1,1)),flip(a)]. 7911 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5981(a,1),7883(a,1,1)),flip(a)]. 7912 x * K(K(y,z),x) = T(x,K(y,z)). [para(7883(a,2),7862(a,1,2))]. 7913 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [hyper(124,a,7884,a,b,6466,a),flip(a)]. 7914 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [hyper(124,a,7884,a,b,6358,a)]. 7915 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [hyper(124,a,7884,a,b,6574,a(flip)),flip(a)]. 7916 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [hyper(124,a,7884,a,b,21,a(flip))]. 7917 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7884(a,2),5190(a,2,1)),flip(a)]. 7918 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7884(a,2),5259(a,1,1))]. 7919 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7884(a,2),5219(a,1,1))]. 7920 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(7884(a,1),5525(a,1,1,1))]. 7921 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5826(a,1),7884(a,1,2)),flip(a)]. 7922 L(K(x,y) * K(x,K(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). [para(7884(a,2),5392(a,1,1,2))]. 7923 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7884(a,2),5909(a,1,1))]. 7924 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7761(a,1),7884(a,1,2))]. 7925 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7884(a,1),7867(a,1,1))]. 7926 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7907(a,1),5545(a,1,1))]. 7927 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7907(a,1),5452(a,1,1))]. 7929 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(285,a,7861,a,b,7908,a)]. 7930 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7908(a,1),5190(a,2,1)),flip(a)]. 7931 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(5981(a,1),7908(a,1,2)),flip(a)]. 7932 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6125(a,1),7908(a,1,2)),flip(a)]. 7933 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7761(a,1),7908(a,1,2))]. 7934 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7774(a,2),7908(a,1,2))]. 7935 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(285,a,7881,a,b,7879,a),flip(a)]. 7936 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(15(a,1),7879(a,1,2,2)),flip(a)]. 7937 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7879(a,1),7686(a,1,1))]. 7939 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(935(a,1),7889(a,1,1,2)),flip(a)]. 7940 T(x,K(y,z)) = T(x,K(z,y)). [hyper(66,a,7862,a(flip),b,7901,a)]. 7941 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5668,a,7940,a)]. 7942 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(285,a,7401,a,b,7940,a)]. 7943 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(285,a,7496,a(flip),b,7940,a),flip(a)]. 7944 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(285,a,7441,a(flip),b,7940,a),flip(a)]. 7945 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7940(a,1),7343(a,1,1))]. 7946 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(7912(a,1),6752(a,1,2))]. 7947 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7912(a,1),7568(a,1,3)),flip(a)]. 7948 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(285,a,7523,a,b,7917,a),flip(a)]. 7950 K(x,K(y,x * y)) = 1. [hyper(285,a,3352,a(flip),b,7929,a),flip(a)]. 7951 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(285,a,4401,a,b,7950,a),flip(a)]. 7952 T(x,K(y,x * y)) = x. [hyper(59,a,7950,a)]. 7953 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7930(a,1),5259(a,1))]. 7954 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(66,a,7881,a,b,7935,a)]. 7955 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(285,a,7884,a,b,7936,a),flip(a)]. 7956 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(124,a,7936,a(flip),b,5125,a(flip)),flip(a)]. 7957 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(7936(a,1),7686(a,1,1))]. 7958 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(66,a,7884,a,b,7955,a)]. 7960 K(x,K(x * y,z)) = K(x,K(y,z)). [para(14(a,1),7958(a,1,2,1)),flip(a)]. 7961 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5319(a,1),7958(a,2,2))]. 7962 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(66,a,7859,a,b,7960,a)]. 7963 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(66,a,7881,a,b,7951,a)]. 7964 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(7963(a,2),5603(a,2,2))]. 7967 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7693(a,1),7868(a,1,1,2)),flip(a)]. 7968 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(285,a,7681,a,b,7872,a),flip(a)]. 7971 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7761(a,1),7906(a,1,2,2))]. 7973 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(66,a,7881,a,b,7924,a)]. 7974 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(66,a,7958,a(flip),b,7924,a),flip(a)]. 7975 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(7933(a,1),7868(a,1,1))]. 7976 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(6394(a,1),7941(a,1,2))]. 7977 (x * K(y,z)) / x = T(K(y,z),x). [hyper(224,a,7945,a(flip),b,3955,a(flip)),flip(a)]. 7978 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7523(a,2),7945(a,1,1))]. 7979 T(K(x,y),z) * z = z * K(x,y). [hyper(136,a,7977,a)]. 7980 T(T(K(x,y),z),z) = K(x,y). [para(7977(a,1),208(a,1,1))]. 7981 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7977(a,1),588(a,1,1,1))]. 7982 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7977(a,1),594(a,1,1,1))]. 7984 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6742,a,7980,a),flip(a)]. 7985 T(K(x,y \ z),z) = K(x,z / y). [hyper(43,a,6406,a,b,7980,a),flip(a)]. 7986 T(K(x,T(y,z)),z) = K(x,y). [hyper(43,a,7681,a(flip),b,7980,a),flip(a)]. 7987 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(7980(a,1),52(a,1)),flip(a)]. 7988 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7980(a,1),257(a,1,2,2,1))]. 7989 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7656,a,7986,a)]. 7990 K(T(x,y),T(z,y)) = K(x,z). [hyper(66,a,7760,a,b,7986,a)]. 7991 K(x,T(T(y,z),z)) = K(x,y). [hyper(66,a,7681,a,b,7986,a)]. 7994 K(x \ y,T(z,y)) = K(y / x,z). [hyper(66,a,6460,a(flip),b,7986,a)]. 7995 K(x,T(y \ z,z)) = K(x,z / y). [hyper(43,a,6406,a,b,7986,a),flip(a)]. 7996 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(43,a,5150,a,b,7986,a)]. 7997 K(x,T(y,z)) * z = z * K(x,y). [hyper(124,a,7986,a(flip),b,27,a(flip)),flip(a)]. 7998 T(K(x,y \ z),y) = K(x,z / y). [para(118(a,1),7986(a,1,1,2))]. 7999 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7986(a,1),227(a,1,2))]. 8000 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7986(a,1),223(a,1,2,1)),flip(a)]. 8001 T(K(x \ y,z),x) = K(y / x,z). [para(7774(a,1),7986(a,1,1))]. 8002 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7986(a,1),7767(a,1,1)),flip(a)]. 8003 K(T(x,y),z \ y) = K(x,y / z). [hyper(7708,a,7990,a)]. 8004 x * K(T(x,y),T(z,y)) = T(x,z). [hyper(124,a,7990,a,b,5125,a(flip))]. 8006 K(x,T(y,z)) \ z = z * K(y,x). [hyper(124,a,7990,a(flip),b,7679,a),flip(a)]. 8007 K(T(T(x,y),z),T(u,y)) = K(T(x,z),u). [para(28(a,1),7990(a,1,1))]. 8008 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(28(a,1),7990(a,1,2))]. 8009 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(30(a,2),7990(a,1,1))]. 8010 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(30(a,2),7990(a,1,2))]. 8011 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(32(a,2),7990(a,1,1))]. 8012 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(32(a,2),7990(a,1,2))]. 8013 K(x \ y,T(z,x)) = K(y / x,z). [para(118(a,1),7990(a,1,1))]. 8014 K(T(x,y),y \ z) = K(x,z / y). [para(118(a,1),7990(a,1,2))]. 8015 K((x * y) / x,z) = K(y,T(z,x)). [para(208(a,1),7990(a,1,1)),flip(a)]. 8016 K(x,(y * z) / y) = K(T(x,y),z). [para(208(a,1),7990(a,1,2)),flip(a)]. 8017 K(x / (x / y),z) = K(y,T(z,x / y)). [para(230(a,1),7990(a,1,1)),flip(a)]. 8018 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(231(a,1),7990(a,1,1))]. 8019 K(R(x \ y,z,u),T(w,x)) = K(R(y / x,z,u),w). [para(233(a,1),7990(a,1,1))]. 8020 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(713(a,2),7990(a,1,2)),flip(a)]. 8021 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(981(a,1),7990(a,1,2))]. 8022 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(1225(a,1),7990(a,1,1)),flip(a)]. 8023 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3991(a,1),7990(a,1,1))]. 8024 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4200(a,1),7990(a,1,2))]. 8025 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(4114(a,1),7990(a,1,2)),flip(a)]. 8026 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4202(a,1),7990(a,1,1)),flip(a)]. 8027 K(x * K(y,x),z) = K(x,T(z,y)). [para(5150(a,1),7990(a,1,1)),flip(a)]. 8028 K(x,y * K(z,y)) = K(T(x,z),y). [para(5150(a,1),7990(a,1,2)),flip(a)]. 8029 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5240(a,1),7990(a,1,1)),flip(a)]. 8030 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5240(a,1),7990(a,1,2)),flip(a)]. 8031 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7990(a,1),5594(a,1,1)),flip(a)]. 8032 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(7990(a,1),5721(a,1,1,1,2))]. 8033 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),6261(a,1,1))]. 8034 R(x,K(y,z),T(y,u)) = x. [para(7990(a,1),6312(a,1,2))]. 8035 K(T(x,y),z) * y = y * K(x,z). [para(7990(a,1),7682(a,1,2)),flip(a)]. 8037 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(8034(a,1),5759(a,1,1)),flip(a)]. 8038 K(x,T(y \ z,y)) = K(x,z / y). [para(118(a,1),7991(a,1,2,1))]. 8040 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(757(a,2),7991(a,1,2))]. 8041 K(x,y \ z) * z = z * K(x,z / y). [para(6406(a,1),7979(a,1,1))]. 8044 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(7985(a,2),6100(a,1,1))]. 8045 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(66,a,7695,a(flip),b,7994,a)]. 8046 K(x / (x / y),z) = K(y,T(z,x)). [hyper(66,a,626,a(flip),b,7994,a),flip(a)]. 8048 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7626(a,1),7994(a,1,2))]. 8049 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7994(a,1),7708(a,1))]. 8051 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5630,a,7997,a)]. 8052 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(123,a,7997,a(flip),b,5153,a)]. 8053 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7997(a,1),589(a,1,2,1)),flip(a)]. 8054 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7997(a,1),5537(a,1,1))]. 8055 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7997(a,1),5463(a,1,1,3)),flip(a)]. 8056 T(x,y * K(x,z)) = T(x,y). [para(7997(a,1),7626(a,1,2))]. 8058 K(x,y * K(x,z)) = x \ T(x,y). [hyper(122,a,8056,a(flip),b,5130,a(flip)),flip(a)]. 8061 T(x,y * T(x,z)) = T(x,y * x). [para(6322(a,1),8056(a,1,2))]. 8062 T(x,y * K(z,x)) = T(x,y). [para(7392(a,1),8056(a,1,2)),flip(a)]. 8063 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(8062(a,1),4932(a,2,1,2))]. 8064 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8062(a,1),5178(a,1,2,1)),flip(a)]. 8065 T(K(x,y \ z),z) = T(K(x,y \ z),y). [hyper(285,a,7985,a,b,7998,a)]. 8067 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(285,a,5830,a,b,8001,a),flip(a)]. 8069 K(x / y,y / z) != u | K(y \ x,z \ y) = u. [para(8001(a,1),6549(a,1))]. 8071 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8001(a,1),7704(a,1,2))]. 8073 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),(x \ z) / u). [hyper(66,a,7799,a(flip),b,8003,a)]. 8074 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(66,a,7795,a(flip),b,8003,a)]. 8075 K(T(x,y),z \ (x \ y)) = K(x,(x \ y) / z). [hyper(66,a,7792,a(flip),b,8003,a)]. 8076 K(x,y / (y / z)) = K(T(x,y),z). [para(90(a,1),8003(a,1,2)),flip(a)]. 8077 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(7215(a,1),8003(a,1,1))]. 8078 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(208(a,1),8004(a,1,2,1))]. 8079 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5252(a,1),8004(a,1,2,2)),flip(a)]. 8080 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(138,a,8006,a)]. 8082 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(66,a,7742,a(flip),b,8013,a),flip(a)]. 8083 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(19(a,2),8013(a,1,1)),flip(a)]. 8084 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(28(a,1),8013(a,1,2))]. 8085 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4200(a,1),8013(a,1,2)),flip(a)]. 8086 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7630(a,1),8013(a,1,2))]. 8087 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8056(a,1),8013(a,1,2))]. 8088 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(66,a,7792,a(flip),b,8014,a)]. 8089 K(L(T(x,y),z,u),y \ w) = K(L(x,z,u),w / y). [para(30(a,2),8014(a,1,1))]. 8090 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [para(32(a,2),8014(a,1,1))]. 8092 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4118(a,1),8014(a,1,1))]. 8093 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8062(a,1),8014(a,1,1))]. 8094 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(66,a,5805,a,b,8015,a)]. 8095 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(66,a,5803,a,b,8015,a)]. 8096 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [hyper(66,a,6628,a(flip),b,8015,a)]. 8097 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(745(a,1),8015(a,1,1))]. 8098 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3965(a,1),8015(a,1,1))]. 8099 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3994(a,1),8015(a,1,1))]. 8100 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(5388(a,2),8015(a,1,1))]. 8101 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8015(a,1),5953(a,1,1))]. 8102 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(66,a,5424,a,b,8016,a)]. 8103 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(783(a,2),8016(a,1,2))]. 8104 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(8016(a,1),5226(a,1,2))]. 8105 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6516,a,b,8027,a)]. 8106 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(66,a,5606,a,b,8027,a)]. 8107 T(K(x * K(y,x),z \ 1),u) = K(x,T(T(z,u) \ 1,y)). [hyper(66,a,6007,a(flip),b,8027,a)]. 8108 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8027(a,1),5721(a,1,1,1,2)),flip(a)]. 8109 K(T(x,y),T(z,y * L(x,u,w))) = K(R(x,y,L(x,u,w)),z). [para(6829(a,1),8027(a,1,1)),flip(a)]. 8110 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7098(a,1),8027(a,1,1)),flip(a)]. 8111 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7761(a,1),8027(a,1,1,2))]. 8112 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7773(a,1),8027(a,1,1,2)),flip(a)]. 8114 L(K(x \ 1,y * K(z,y)),u,w) = K(T(L(x,u,w) \ 1,z),y). [hyper(66,a,5977,a,b,8028,a)]. 8115 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5085(a,2),8028(a,1,2,2))]. 8116 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5785(a,2),8028(a,1,2,2))]. 8117 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8028(a,1),5793(a,1,2,2)),flip(a)]. 8118 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5838(a,2),8028(a,1,2,2))]. 8119 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8028(a,1),5746(a,1,2,1))]. 8120 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7797(a,1),8035(a,1,1))]. 8122 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(28(a,1),8046(a,2,2))]. 8123 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8046(a,1),7031(a,1,1)),flip(a)]. 8124 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7649(a,1),8046(a,1,1))]. 8125 K(x,y * K(x,z)) = K(x,y). [hyper(285,a,5125,a,b,8058,a),flip(a)]. 8126 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8058(a,2),5208(a,1))]. 8128 K(x,y * T(x,z)) = K(x,y * x). [para(6322(a,1),8125(a,1,2))]. 8130 K(x \ y,z * (y / x)) = K(x \ y,z * (x \ y)). [para(6585(a,1),8125(a,1,2)),flip(a)]. 8131 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6587(a,1),8125(a,1,2)),flip(a)]. 8133 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8125(a,1),6328(a,1,1)),flip(a)]. 8134 K(x,y * K(z,x)) = K(x,y). [para(7392(a,1),8125(a,1,2)),flip(a)]. 8135 K(x,y / K(z,x)) = K(x,y). [para(7396(a,2),8125(a,1,2))]. 8136 K(x,y * T(z,x)) = K(x,y * z). [para(7402(a,1),8125(a,1,2)),flip(a)]. 8137 K(x,K(y,x) \ z) = K(x,z). [para(7680(a,1),8125(a,1,2))]. 8138 K(x,K(x,y) * z) = K(x,z). [para(7682(a,1),8125(a,1,2))]. 8139 K(x,T(y,x) \ z) = K(x,y \ z). [para(7736(a,1),8125(a,1,2))]. 8140 K(x * K(y,z),z) = 1 / K(z,x). [para(8134(a,1),5344(a,1,2)),flip(a)]. 8141 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(8134(a,1),5387(a,1,1,2))]. 8142 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(8134(a,1),6105(a,1,1))]. 8143 K(x,y \ T(z,x)) = K(x,y \ z). [para(5818(a,1),8134(a,1,2))]. 8146 K(x,K(x,y) \ z) = K(x,z). [para(7765(a,1),8134(a,1,2))]. 8147 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(66,a,5707,a(flip),b,8135,a),flip(a)]. 8148 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(5981(a,1),8135(a,1,2,2))]. 8149 K(x,T(x,y) * z) = K(x,x * z). [para(5534(a,1),8137(a,1,2))]. 8150 K(x,T(x,y) \ z) = K(x,x \ z). [para(5585(a,1),8137(a,1,2)),flip(a)]. 8151 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8137(a,1),7872(a,1,2,2)),flip(a)]. 8152 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(8138(a,1),3185(a,1,2))]. 8153 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(5517(a,2),8138(a,1,2))]. 8154 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5854(a,1),8138(a,1,2)),flip(a)]. 8155 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6094(a,1),8138(a,1,2,1))]. 8156 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(8138(a,1),7860(a,1,1)),flip(a)]. 8157 K(x,K(x,y) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,8146,a),flip(a)]. 8159 T(x,y * T(x,z)) = T(x,x * y). [hyper(285,a,4182,a(flip),b,8061,a),flip(a)]. 8160 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(8061(a,1),7639(a,1,2,2))]. 8161 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(8061(a,1),7994(a,1,2))]. 8162 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(118(a,1),8128(a,1,2,2)),flip(a)]. 8163 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(8128(a,1),7889(a,1,1,2)),flip(a)]. 8164 K(x,(x \ T(y * x,x \ 1)) \ z) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(2172(a,1),8139(a,1,2,1))]. 8165 K(x * K(y,z),z) = K(x,z). [hyper(285,a,5344,a(flip),b,8140,a),flip(a)]. 8167 K(x * T(y,z),z) = K(x * y,z). [para(1270(a,1),8165(a,1,1))]. 8170 K(x \ T(y,z),z) = K(x \ y,z). [para(5818(a,1),8165(a,1,1))]. 8172 K(x / (y / z),z) = K(x / (z \ y),z). [para(6533(a,1),8165(a,1,1))]. 8173 K(x * K(y,z),y) = K(x,y). [para(7392(a,1),8165(a,1,1)),flip(a)]. 8174 K(x * T(y,z),y) = K(x * y,y). [para(7402(a,1),8165(a,1,1)),flip(a)]. 8175 K(x * K(y,T(z,u)),z) = K(x,z). [para(7687(a,1),8165(a,1,1,2))]. 8176 K(K(x,y) * z,x) = K(z,x). [para(7723(a,1),8165(a,1,1)),flip(a)]. 8177 K(K(x,y) * z,y) = K(z,y). [para(7756(a,1),8165(a,1,1))]. 8178 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7764(a,1),8165(a,1,1,2))]. 8179 K(K(x,y) \ z,x) = K(z,x). [para(7765(a,1),8165(a,1,1))]. 8180 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5949(a,1),8173(a,1,1,2))]. 8183 K((x / y) * z,y) = K((y \ x) * z,y). [para(6565(a,1),8173(a,1,1))]. 8185 K(T(x,y) * z,x) = K(x * z,x). [para(5219(a,1),8176(a,1,1))]. 8186 K(((x * y) / x) \ z,y) = K(y \ z,y). [para(5517(a,2),8176(a,1,1))]. 8187 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(5854(a,1),8176(a,1,1)),flip(a)]. 8188 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6094(a,1),8176(a,1,1,1))]. 8189 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6254(a,1),8176(a,1,1)),flip(a)]. 8190 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8176(a,1),6374(a,1,1))]. 8192 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7776(a,1),8177(a,1,1,1))]. 8194 K(x,y / T(x,z)) = K(x,x \ y). [hyper(66,a,7717,a,b,8150,a)]. 8195 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(118(a,1),8150(a,1,2,1)),flip(a)]. 8196 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(8150(a,2),7936(a,1,2))]. 8198 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6764(a,1),8167(a,1,1)),flip(a)]. 8199 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(27(a,1),8170(a,1,1,2))]. 8200 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(118(a,1),8170(a,1,1,2)),flip(a)]. 8202 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6320(a,1),8175(a,1,1))]. 8203 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [hyper(124,a,8185,a(flip),b,5125,a(flip))]. 8206 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(8194(a,1),5550(a,2,1))]. 8209 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(7888(a,1),8126(a,1,2))]. 8210 K(x,y * (z * K(u,x))) = K(x,y * z). [para(178(a,1),8148(a,1,2)),flip(a)]. 8211 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(112(a,1),8155(a,1,2))]. 8212 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7014(a,1),8155(a,1,2,1))]. 8215 K(x * (y * K(z,u)),u) = K(x * y,u). [para(7558(a,1),8180(a,1,1)),flip(a)]. 8216 K((K(x,y) * z) * u,x) = K(z * u,x). [para(112(a,1),8188(a,1,1))]. 8217 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7990(a,1),8188(a,1,1,1,1))]. 8221 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(7681(a,1),8209(a,1))]. 8222 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5146(a,1),8212(a,1,2))]. 8223 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5516(a,1),8212(a,1,2)),flip(a)]. 8224 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5854(a,1),8212(a,1,2)),flip(a)]. 8225 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7940(a,1),8221(a,1))]. 8226 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(285,a,5130,a,b,7956,a),flip(a)]. 8227 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7956(a,2),5180(a,1))]. 8228 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(66,a,6590,a(flip),b,8226,a)]. 8229 T(x,K(y,y * z)) = T(x,K(y,z)). [para(14(a,1),8226(a,1,2,2)),flip(a)]. 8230 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8225,a,8229,a),flip(a)]. 8231 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(285,a,2227,a(flip),b,8229,a),flip(a)]. 8232 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(66,a,7943,a(flip),b,8229,a),flip(a)]. 8233 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(57,a,8231,a)]. 8234 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7968(a,1),46(a,1))]. 8235 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(285,a,7958,a(flip),b,7973,a),flip(a)]. 8236 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(66,a,6080,a,b,7984,a)]. 8237 K((x \ y) \ K(x \ y,z),u) = T(K(y \ x,u),z). [para(6468(a,1),7984(a,1,1)),flip(a)]. 8238 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7996(a,1),5392(a,1,1)),flip(a)]. 8239 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7962(a,1),7996(a,1,2))]. 8240 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(285,a,5743,a,b,8002,a),flip(a)]. 8241 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8002(a,2),5744(a,1))]. 8243 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(66,a,8046,a(flip),b,8017,a),flip(a)]. 8244 K(x,T(y,z * x)) = K(x,T(y,z)). [para(16(a,1),8243(a,1,2,2)),flip(a)]. 8245 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(177(a,1),8243(a,1,2,2)),flip(a)]. 8246 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4301(a,1),8243(a,1,2))]. 8247 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4303(a,1),8243(a,1,2))]. 8248 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(8243(a,1),7924(a,2,2))]. 8249 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(8244(a,1),7682(a,1,2))]. 8250 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8244(a,1),7997(a,1,1))]. 8251 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(285,a,8076,a(flip),b,8024,a),flip(a)]. 8254 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(27(a,2),8067(a,1,1,1)),flip(a)]. 8256 (((x * y) / x) \ z) * K(y,y \ z) = (y * (((x * y) / x) \ z)) / y. [hyper(124,a,8153,a(flip),b,5167,a(flip))]. 8258 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(285,a,7860,a(flip),b,8156,a),flip(a)]. 8259 K(x \ (y * L(x,z,u)),x) = K((x \ y) * L(x,z,u),x). [hyper(66,a,5330,a,b,8183,a)]. 8260 (((x * y) / x) \ z) \ K(y \ z,y) = ((y * (((x * y) / x) \ z)) / y) \ 1. [hyper(122,a,8186,a(flip),b,5412,a(flip))]. 8262 K(x * ((y * z) / y),z) = K(x * z,z). [para(5192(a,2),8189(a,1,1,2))]. 8263 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5360(a,1),8189(a,1,1,2)),flip(a)]. 8264 K((x / (x / y)) * z,y) = K(y * z,y). [para(5098(a,2),8189(a,1,1))]. 8265 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5709(a,1),8189(a,1,1,2))]. 8266 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5824(a,1),8189(a,1,1,2))]. 8267 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(66,a,7218,a(flip),b,8192,a)]. 8268 (K(x,y) * z) * K(z,T(y,u)) = T(K(x,y) * z,T(y,u)). [hyper(124,a,8192,a(flip),b,5125,a(flip))]. 8269 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5158(a,1),8192(a,1,1)),flip(a)]. 8270 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5516(a,1),8192(a,1,1)),flip(a)]. 8271 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8200(a,1),5803(a,1,1,1,2))]. 8272 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8202(a,1),5720(a,1,1,2))]. 8273 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(1283(a,1),8210(a,1,2,2))]. 8274 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5981(a,1),8210(a,1,2,2,2))]. 8275 K(x,y * (z * K(x,u))) = K(x,y * z). [para(7392(a,1),8210(a,1,2,2)),flip(a)]. 8276 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7723(a,1),8210(a,1,2,2)),flip(a)]. 8277 K(x,(y * x) * z) = K(x,(x * y) * z). [para(5146(a,1),8211(a,1,2,1)),flip(a)]. 8279 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6319(a,1),8215(a,1,1,2)),flip(a)]. 8280 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6626(a,2),8233(a,1,1))]. 8281 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5413(a,2),8236(a,2,1)),flip(a)]. 8282 K(T(x,y) \ 1,z) * K(x \ K(x,y),K(x,y) \ x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8236(a,2),5541(a,1,1))]. 8283 T(x,T(T(y,z),z)) = T(x,y). [hyper(37,a,7825,a,b,8240,a(flip))]. 8284 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(8240(a,1),221(a,1,2))]. 8285 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8240(a,2),217(a,1,1,1))]. 8286 T(x,K(y,x) * T(y,z)) = T(x,T(y,T(z,x))). [para(8240(a,1),4122(a,1,2))]. 8287 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(8240(a,2),5744(a,1))]. 8288 T(x,(y * z) / y) = T(x,T(z,y)). [para(208(a,1),8283(a,1,2,1)),flip(a)]. 8289 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5150(a,1),8283(a,1,2,1)),flip(a)]. 8290 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(66,a,7110,a(flip),b,8289,a),flip(a)]. 8292 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(66,a,7881,a,b,8258,a)]. 8293 K(x * ((y * z) / y),z) = K(z * x,z). [hyper(285,a,5785,a(flip),b,8262,a),flip(a)]. 8296 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8263(a,1),5805(a,1,2,1,2)),flip(a)]. 8299 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5949(a,1),8275(a,1,2,2,2))]. 8300 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6254(a,1),8276(a,1,2,2)),flip(a)]. 8301 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8280(a,1),7945(a,1,1))]. 8302 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(285,a,7908,a,b,8292,a),flip(a)]. 8303 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(285,a,7881,a,b,8292,a),flip(a)]. 8304 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5360(a,1),8302(a,1,1)),flip(a)]. 8305 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5360(a,1),8303(a,1,1)),flip(a)]. 8306 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8303(a,1),6353(a,1,3))]. 8307 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7997(a,1),8303(a,1,1))]. 8308 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6900,a,8306,a)]. 8309 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8306(a,1),478(a,1,1)),flip(a)]. 8310 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(285,a,7884,a,b,8304,a),flip(a)]. 8311 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7687(a,1),8304(a,1,2,2,1))]. 8312 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(285,a,8292,a(flip),b,8305,a),flip(a)]. 8313 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5737(a,1),8310(a,1,2,2))]. 8314 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3477,a,7863,a),flip(a)]. 8315 T(x,K(y,z)) * u != x * w | K(y,K(x,z)) * u = w. [para(7892(a,1),46(a,1))]. 8316 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7396(a,2),7909(a,1,2))]. 8317 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7961(a,1),7909(a,1,1))]. 8318 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(6427(a,1),7916(a,1,2))]. 8319 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5319(a,1),7919(a,1,1,2))]. 8322 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7944(a,1),7761(a,1,1)),flip(a)]. 8324 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(285,a,7973,a,b,7974,a),flip(a)]. 8325 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(66,a,6651,a(flip),b,8009,a)]. 8326 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1521(a,1),8009(a,1,1))]. 8327 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6652,a,8010,a)]. 8328 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(115(a,1),8010(a,1,2,1))]. 8329 K(T(x,y),T(z,R(z,u,w) * y)) = K(x,L(z,y,R(z,u,w))). [para(1509(a,1),8010(a,1,2))]. 8330 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1521(a,1),8010(a,1,2))]. 8331 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(32(a,2),8328(a,1,1))]. 8332 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4200(a,1),8011(a,1,1,1)),flip(a)]. 8333 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4275(a,1),8011(a,1,1))]. 8334 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5149(a,1),8023(a,1,2,2))]. 8335 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(66,a,8016,a(flip),b,8025,a)]. 8336 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(32(a,2),8335(a,1,1))]. 8337 K(T(x,y),T(z,y * z)) = K(x,L(z,y,z)). [para(5400(a,1),8030(a,1,2)),flip(a)]. 8338 K((x * y) \ z,L(y,x,y)) = K(T(z / (x * y),x),y). [hyper(66,a,8018,a(flip),b,8337,a),flip(a)]. 8339 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8031(a,1),425(a,1,1,2)),flip(a)]. 8340 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8031(a,1),7990(a,1,1))]. 8341 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8028(a,1),8031(a,1,1,2))]. 8342 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5150(a,1),8040(a,1,2,1,1)),flip(a)]. 8343 (K(x \ 1,y) \ z) * K(z / K(x \ 1,y),x) = T(K(x \ 1,y) \ z,x). [para(1407(a,1),8071(a,2,2))]. 8344 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(66,a,7770,a(flip),b,8084,a),flip(a)]. 8345 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6912(a,1),8097(a,1,1))]. 8346 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [hyper(124,a,8099,a(flip),b,5072,a),flip(a)]. 8347 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(66,a,8028,a(flip),b,8116,a)]. 8348 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(32(a,2),8347(a,1,1))]. 8349 K(T(x / (x / y),z),u * K(R(u,w,v5) * x,u)) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(7099(a,1),8124(a,2,2))]. 8350 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1270(a,1),8178(a,1,1))]. 8351 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(5082(a,1),8178(a,1,1)),flip(a)]. 8353 K((x \ 1) * y,T(z,y)) = K((x \ 1) * y,T(z,x)). [para(3029(a,1),8247(a,1,2)),flip(a)]. 8354 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(285,a,7881,a,b,8248,a),flip(a)]. 8355 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8249(a,2),6136(a,1,2,1))]. 8356 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7681(a,1),8249(a,1,2))]. 8357 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(285,a,6322,a(flip),b,8250,a),flip(a)]. 8358 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5775,a,8357,a)]. 8359 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(123,a,8357,a(flip),b,5518,a(flip))]. 8360 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7681(a,1),8357(a,1,1))]. 8361 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7696(a,1),8357(a,1,1))]. 8362 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(123,a,280,a(flip),b,8358,a)]. 8363 T(x,T(y,x \ y)) = T(x,y). [hyper(38,a,3997,a,b,8358,a),flip(a)]. 8364 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8358(a,1),294(a,1,1)),flip(b)]. 8366 T(x,T(x * y,y)) = T(x,x * y). [para(14(a,1),8363(a,1,2,2))]. 8367 T(x / y,T(x,y)) = T(x / y,x). [para(90(a,1),8363(a,1,2,2))]. 8368 T(x \ y,T(y,x)) = T(x \ y,y). [para(3976(a,1),8363(a,1,2))]. 8369 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [para(5149(a,1),8367(a,1,1))]. 8370 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(8368(a,1),5179(a,1,2,1))]. 8371 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8368(a,1),5816(a,1,2,1,2)),flip(a)]. 8372 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(118(a,1),8359(a,1,2))]. 8373 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1705(a,1),8359(a,1,1,2))]. 8374 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7630(a,1),8359(a,1,1,2)),flip(a)]. 8375 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8056(a,1),8359(a,1,1,2)),flip(a)]. 8376 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(66,a,4512,a(flip),b,8360,a),flip(a)]. 8377 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(66,a,7596,a(flip),b,8254,a),flip(a)]. 8378 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(7279(a,1),8266(a,1,1,2))]. 8379 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8269(a,1),5722(a,1,2,1,2)),flip(a)]. 8381 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(7290(a,1),8273(a,1,2,2))]. 8382 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4085(a,1),8279(a,1,1,2)),flip(a)]. 8383 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(791(a,1),8281(a,1,1,1))]. 8384 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(8002(a,2),8284(a,1,2))]. 8385 T(x,T(y,T(z,x))) = T(x,T(y,z)). [hyper(66,a,7628,a(flip),b,8286,a),flip(a)]. 8387 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(118(a,1),8385(a,1,2,2)),flip(a)]. 8388 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8308(a,2),5459(a,1,1))]. 8389 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8311(a,1),7917(a,1,1))]. 8390 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8311(a,1),7918(a,1,1))]. 8391 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(285,a,8013,a(flip),b,8344,a),flip(a)]. 8392 T(K(x,y),z * x) = T(K(x,y),z). [hyper(225,a,8356,a)]. 8393 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(285,a,3213,a(flip),b,8392,a),flip(a)]. 8394 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(224,a,8376,a,b,5518,a(flip))]. 8396 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8230(a,1),8376(a,1,1)),flip(a)]. 8397 T(K(x,y),T(z,x)) = T(K(x,y),z). [para(2227(a,1),8394(a,1,1))]. 8398 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7342(a,1),8394(a,1,1)),flip(a)]. 8399 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7344(a,1),8394(a,1,1))]. 8400 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5726,a,8398,a)]. 8404 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7940(a,1),8398(a,1,1))]. 8405 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(118(a,1),8399(a,1,2)),flip(a)]. 8406 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(7953,a,8400,a)]. 8407 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8400(a,1),7693(a,1,2))]. 8409 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(66,a,5240,a(flip),b,8404,a),flip(a)]. 8410 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [hyper(66,a,231,a(flip),b,8404,a),flip(a)]. 8411 x \ T(T(x,y),K(y,z)) = T(K(x,y),z). [hyper(122,a,8406,a,b,7704,a)]. 8412 K(x,T(T(y,z) \ 1,K(z,u))) = K(x,T(y,T(z,u)) \ 1). [para(8406(a,1),7692(a,2,2,1))]. 8413 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(118(a,1),8407(a,1,2,2)),flip(a)]. 8414 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(714(a,1),8407(a,1,2,2))]. 8415 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5391(a,1),8407(a,1,2,2))]. 8416 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(8405(a,1),7979(a,1,1))]. 8418 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(1 / x,y),z)) * x. [para(8411(a,1),919(a,1,1,2)),flip(a)]. 8419 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(66,a,8243,a(flip),b,8413,a),flip(a)]. 8420 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(66,a,8244,a,b,8419,a)]. 8421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(14(a,1),8419(a,1,2,2)),flip(a)]. 8422 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(8419(a,1),7864(a,1,1,2))]. 8423 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(118(a,1),8421(a,1,2)),flip(a)]. 8424 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4922(a,1),8420(a,1,2,2))]. 8425 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(5150(a,1),8384(a,1,2,1)),flip(a)]. 8426 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5346(a,1),7783(a,1))]. 8428 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7760(a,1),8426(a,1))]. 8429 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7762(a,2),8426(a,1))]. 8430 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8016(a,2),8426(a,1))]. 8434 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6439(a,2),8428(a,1))]. 8435 K(x \ y,z) != u | K(y / x,T(z,y)) = u. [para(6460(a,1),8428(a,1))]. 8438 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7924(a,2),7873(a,1,2))]. 8446 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(7927,a,6153,a)]. 8448 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,8112,a),flip(a)]. 8449 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(118(a,1),8448(a,1,2,2)),flip(a)]. 8450 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(66,a,6653,a(flip),b,8190,a)]. 8451 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8190(a,1),3653(a,1)),flip(b)]. 8452 K(x * y,x) != z | K(y * x,x) = z. [para(5146(a,1),8451(a,1,1))]. 8455 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(6572(a,2),8452(a,1))]. 8456 K(L(x,K(y,z),u),y) = K(x,y). [hyper(285,a,8176,a(flip),b,8450,a),flip(a)]. 8458 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8456(a,1,1))]. 8459 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7014(a,1),8217(a,1,1,1))]. 8460 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(103(a,1),8274(a,1,2,2))]. 8461 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(32(a,2),7690(a,2,2))]. 8462 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2963(a,1),7725(a,1,2,2))]. 8463 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(66,a,7459,a,b,7728,a)]. 8464 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6760,a,7734,a),flip(a)]. 8465 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(445,a,7734,a)]. 8466 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(66,a,6661,a(flip),b,8465,a)]. 8467 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(66,a,7186,a,b,7755,a)]. 8468 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(7821(a,1),6628(a,2,2,1))]. 8469 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(285,a,5177,a(flip),b,7824,a),flip(a)]. 8470 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(8469(a,1),6808(a,1,1))]. 8471 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4833(a,1),7837(a,1,1))]. 8472 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5304,a,7839,a),flip(a)]. 8473 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(66,a,6597,a,b,8472,a)]. 8474 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(66,a,7758,a,b,8473,a)]. 8476 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(7958(a,1),7869(a,1,1))]. 8477 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7392(a,1),7871(a,1,1)),flip(a)]. 8478 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7875(a,2),5296(a,1,1))]. 8479 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6032(a,1),7876(a,1,1)),flip(a)]. 8481 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7924(a,2),7937(a,1,1))]. 8482 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(194,a,7939,a(flip)),flip(a)]. 8483 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(7154(a,1),8482(a,1,2))]. 8484 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(8483(a,1),7343(a,1,1)),flip(a)]. 8485 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(285,a,8308,a(flip),b,7947,a),flip(a)]. 8487 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(7860(a,2),7964(a,2,2))]. 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(285,a,7868,a(flip),b,7967,a),flip(a)]. 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(7341(a,1),8488(a,1,2))]. 8491 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4182(a,1),7971(a,1,2,2,2))]. 8493 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [hyper(285,a,7681,a,b,7975,a),flip(a)]. 8494 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,x \ y)). [para(5073(a,2),7976(a,1,2,2))]. 8495 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(123,a,7558,a(flip),b,7981,a),flip(a)]. 8496 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2963(a,1),7981(a,1,1))]. 8497 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(32(a,1),7982(a,1,1))]. 8498 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5727,a,7988,a)]. 8499 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(66,a,5240,a(flip),b,8498,a),flip(a)]. 8500 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [hyper(262,a,8000,a)]. 8501 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8056(a,1),8000(a,1,1,1,2))]. 8502 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(66,a,8098,a(flip),b,8022,a),flip(a)]. 8503 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8502(a,1),7682(a,1,2))]. 8504 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(66,a,8124,a(flip),b,8026,a),flip(a)]. 8505 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(14(a,1),8504(a,1,2,2)),flip(a)]. 8506 (x * K(y,z)) * u != x * (K(y,w) * T(y,z)) | T(y,w) = u. [para(8037(a,1),46(a,1)),flip(a)]. 8507 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,8063,a),flip(a)]. 8508 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6546,a,8078,a)]. 8509 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5452,a,8508,a)]. 8510 K(x,y) * T((y * x) / y,z) != u | T(x,T(z,y)) = u. [para(8508(a,1),5453(a,1,2)),flip(b)]. 8511 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(15(a,1),8509(a,1,2,1,1))]. 8512 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(638(a,1),8509(a,1,2))]. 8513 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5149(a,1),8509(a,1,2,1))]. 8514 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6594(a,1),8513(a,1,2)),flip(a)]. 8515 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(66,a,4981,a,b,8079,a)]. 8516 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(66,a,5830,a,b,8082,a)]. 8517 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(404(a,1),8085(a,1,1,2))]. 8518 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(115(a,1),8089(a,1,1,1)),flip(a)]. 8519 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4553(a,1),8090(a,1,2)),flip(a)]. 8520 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(124,a,8103,a(flip),b,5125,a(flip)),flip(a)]. 8522 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5149(a,2),8105(a,1,2,1))]. 8523 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6774,a,b,8106,a)]. 8524 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8117(a,1),5123(a,2,2))]. 8525 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(285,a,7872,a(flip),b,8151,a),flip(a)]. 8526 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(7929(a,1),8163(a,2,1))]. 8527 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(285,a,7917,a(flip),b,8526,a),flip(a)]. 8528 T(x,K(y,z * x)) = T(x,K(y,z)). [para(115(a,1),8527(a,1,2,2,2))]. 8529 T(x,K(y,x * z)) = T(x,K(y,z)). [para(116(a,1),8527(a,1,2,2))]. 8530 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(207(a,1),8527(a,1,2,2)),flip(a)]. 8531 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8528,a),flip(a)]. 8532 T(x,K(y,z / x)) = T(x,K(y,z)). [para(17(a,1),8528(a,1,2,2)),flip(a)]. 8533 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8528(a,1),7945(a,1,1))]. 8534 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8529,a),flip(a)]. 8536 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8530,a),flip(a)]. 8537 T(x,K(y,x \ z)) != u | T(x,K(z,y)) = u. [para(8530(a,2),7953(a,1))]. 8538 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7953,a,8531,a)]. 8539 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8531(a,1),7701(a,1,2))]. 8540 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8534(a,1),28(a,1,1)),flip(a)]. 8541 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(8536(a,2),7953(a,1))]. 8542 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(32(a,2),8539(a,1,2))]. 8543 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [hyper(124,a,8195,a(flip),b,5434,a)]. 8544 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(32(a,2),8223(a,1,2,1))]. 8545 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(998(a,1),8223(a,1,2)),flip(a)]. 8546 K((x \ y) \ K(x \ y,z),u) = K(y \ x,T(u,z)). [hyper(285,a,7681,a,b,8237,a),flip(a)]. 8547 K((x \ y) \ K(x \ y,z),u) != w | K(y \ x,T(u,z)) = w. [para(8237(a,2),8428(a,1))]. 8549 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(66,a,5676,a(flip),b,8301,a),flip(a)]. 8550 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(32(a,2),8336(a,2,1))]. 8551 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(66,a,7112,a,b,8342,a)]. 8552 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6593(a,1),8350(a,1,1)),flip(a)]. 8554 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3492,a,b,8361,a),flip(a)]. 8555 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8362(a,1),6359(a,1,1,1))]. 8556 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6321(a,1),8372(a,1,1))]. 8557 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8054,a,8556,a),flip(a)]. 8558 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(66,a,8387,a(flip),b,8557,a)]. 8559 T(x,T(y,z * x)) = T(x,T(y,z)). [para(16(a,1),8557(a,1,2,2)),flip(a)]. 8560 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(87(a,1),8557(a,1,2,2)),flip(a)]. 8561 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(118(a,1),8558(a,1,2)),flip(a)]. 8562 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6594(a,1),8558(a,1,2))]. 8563 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(8558(a,1),8407(a,1,2))]. 8564 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(118(a,1),8559(a,1,2)),flip(a)]. 8565 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(801(a,1),8559(a,1,2)),flip(a)]. 8566 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8560(a,1),8407(a,1,2))]. 8567 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(5150(a,1),8563(a,1,2,2)),flip(a)]. 8568 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(118(a,1),8566(a,1,2,2)),flip(a)]. 8569 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(285,a,8359,a(flip),b,8375,a),flip(a)]. 8570 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6587(a,1),8569(a,1,2,1)),flip(a)]. 8571 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7703(a,1),8416(a,1,1))]. 8572 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(285,a,7403,a(flip),b,8571,a),flip(a)]. 8573 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7681(a,2),8572(a,1,1))]. 8574 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(38,a,5242,a,b,8425,a)]. 8575 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(285,a,8179,a(flip),b,8458,a),flip(a)]. 8577 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7392(a,1),8575(a,1,1,1)),flip(a)]. 8578 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7702(a,1),8575(a,1,1,1)),flip(a)]. 8579 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),8575(a,1,1,1,2))]. 8580 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1403(a,1),8577(a,1,1,1,2))]. 8581 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(5981(a,1),8577(a,1,1,1,2))]. 8582 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8577(a,1),7399(a,1,1,2)),flip(a)]. 8583 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(66,a,6490,a(flip),b,8578,a)]. 8584 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(105(a,2),8578(a,1,1))]. 8585 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5949(a,1),8583(a,1,1,2))]. 8586 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8585(a,1),5804(a,1,1,1,2)),flip(a)]. 8587 K(x \ K(L(y,z,u),w),y) = K(x \ 1,y). [para(6653(a,1),8585(a,1,1,2))]. 8588 K(x \ K(L(y,z,u),w),T(y,v5)) = K(x \ 1,T(y,v5)). [para(8009(a,1),8587(a,1,1,2))]. 8589 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7704(a,1),8580(a,1,1,1))]. 8590 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(7558(a,1),8581(a,1,1,1)),flip(a)]. 8591 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7681(a,2),8461(a,1,1))]. 8592 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(21(a,1),8487(a,2,2,1))]. 8593 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(285,a,8525,a(flip),b,8489,a),flip(a)]. 8595 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7396(a,1),8593(a,1,2))]. 8596 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8595(a,1),8485(a,1,2))]. 8597 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(8410(a,1),8493(a,2,2))]. 8598 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(224,a,8497,a(flip),b,3968,a(flip))]. 8600 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(5818(a,1),8507(a,1,2))]. 8601 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(8511(a,1),8211(a,1,2,1))]. 8602 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5207,a,8515,a)]. 8603 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5839(a,1),8602(a,1,2,1)),flip(a)]. 8604 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(285,a,7399,a(flip),b,8582,a),flip(a)]. 8605 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8582(a,2),7411(a,1))]. 8607 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7723(a,1),8604(a,1,2,1)),flip(a)]. 8608 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7756(a,1),8604(a,1,2,1))]. 8609 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7776(a,1),8604(a,1,2,1,2))]. 8610 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [hyper(124,a,8607,a(flip),b,5125,a(flip)),flip(a)]. 8611 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(19(a,2),8607(a,1,2)),flip(a)]. 8612 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6254(a,1),8607(a,1,2,1)),flip(a)]. 8613 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(285,a,5130,a,b,8610,a),flip(a)]. 8615 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,8613,a),flip(a)]. 8616 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(5360(a,1),8613(a,1,2,1)),flip(a)]. 8617 K(x \ 1,T(y,z \ K(x,u))) = K(T(x,z \ 1) \ 1,y). [para(8615(a,1),7691(a,1,1,1)),flip(a)]. 8619 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6585(a,1),8605(a,1,2,1))]. 8620 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(96(a,1),8590(a,1,1,1,2)),flip(a)]. 8621 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(8590(a,1),5302(a,2,2,2))]. 8622 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(15(a,1),8591(a,1,2)),flip(a)]. 8623 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(702(a,1),8591(a,2,2))]. 8624 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5150(a,1),8591(a,1,1,2))]. 8626 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(285,a,6735,a(flip),b,8620,a),flip(a)]. 8627 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(285,a,352,a(flip),b,8622,a),flip(a)]. 8628 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(285,a,7681,a(flip),b,8627,a),flip(a)]. 8630 K(L(x,y,y \ 1) \ z,x) = K(x \ z,x). [hyper(285,a,5448,a(flip),b,7846,a),flip(a)]. 8631 K(x / L(y,z,z \ 1),y) = K(y \ x,y). [hyper(66,a,7804,a,b,8630,a)]. 8632 K(x \ (y * L(x,z,z \ 1)),x) = K(y,x). [para(16(a,1),8631(a,1,1)),flip(a)]. 8633 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7856(a,1),7053(a,1,1,2))]. 8635 K(L(x,y,z),K(u,x \ u)) = 1. [hyper(285,a,79,a(flip),b,7903,a),flip(a)]. 8637 K(x,K(L(y,z,u),y \ x)) = 1. [hyper(66,a,7881,a,b,8635,a)]. 8638 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3371(a,1),8044(a,1,1))]. 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(5149(a,1),8510(a,1,2,1))]. 8642 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7727(a,1),46(a,1)),flip(a)]. 8643 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(285,a,8544,a(flip),b,7812,a),flip(a)]. 8645 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(8574(a,1),7835(a,1,2))]. 8646 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(118(a,1),7854(a,1,1,1))]. 8647 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(8646(a,1),6855(a,1,1))]. 8648 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4664(a,2),8647(a,1,1,2))]. 8649 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(66,a,4298,a(flip),b,7855,a),flip(a)]. 8650 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(66,a,5868,a(flip),b,7857,a),flip(a)]. 8651 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5973(a,1),7870(a,1,1)),flip(a)]. 8652 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5973(a,1),7910(a,1,2)),flip(a)]. 8653 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(66,a,8651,a,b,8652,a)]. 8654 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7881(a,1),8653(a,1,1))]. 8655 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4066(a,1),8654(a,2,2))]. 8656 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6090(a,1),8654(a,2,2))]. 8657 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5981(a,1),7911(a,1,2)),flip(a)]. 8658 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [hyper(285,a,5130,a,b,7913,a)]. 8659 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(5986(a,1),7931(a,1,2))]. 8660 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(6327(a,2),8074(a,1,2,2))]. 8661 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(66,a,8579,a(flip),b,8087,a)]. 8663 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(66,a,8013,a(flip),b,8661,a),flip(a)]. 8664 K(x / (y * z),z) = K(x / (z * y),z). [para(96(a,1),8663(a,1,1,2)),flip(a)]. 8665 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7682(a,1),8663(a,1,1,2))]. 8666 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7702(a,1),8663(a,1,1,2)),flip(a)]. 8668 K(x / (y * (K(z,u) * w)),u) = K(x / (y * w),u). [para(6254(a,1),8665(a,1,1,2)),flip(a)]. 8669 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(8665(a,1),7032(a,1,1))]. 8670 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(8666(a,1),5302(a,2,2,2))]. 8671 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(5360(a,1),8668(a,1,1,2,2)),flip(a)]. 8672 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(285,a,5302,a,b,8670,a),flip(a)]. 8673 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(25(a,2),8672(a,1,2)),flip(a)]. 8674 T(x,y / ((x \ z) * x)) = T(x,y / z). [para(5101(a,1),8672(a,1,2,2))]. 8675 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5146(a,1),8672(a,1,2,2))]. 8676 T(x,y / ((x \ z) * x)) = x * K(x,y / z). [hyper(285,a,5130,a(flip),b,8674,a),flip(a)]. 8677 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(5207,a,8676,a)]. 8679 K(x,y / (z * x)) = K(x,y / (x * z)). [para(14(a,1),8677(a,1,2,2,1))]. 8680 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(404(a,1),8677(a,1,2,2,1))]. 8681 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(285,a,6932,a(flip),b,8679,a),flip(a)]. 8682 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(113(a,2),8679(a,2,2)),flip(a)]. 8683 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(17(a,1),8681(a,1,2,2,1)),flip(a)]. 8684 K(x,R(1 / y,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(7284(a,2),8681(a,1,2,2,1)),flip(a)]. 8685 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7299(a,1),8681(a,1,2,2,1))]. 8686 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(66,a,7157,a(flip),b,8683,a),flip(a)]. 8687 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(66,a,5341,a(flip),b,8682,a)]. 8688 K(x,R(x \ y,x,T(z,y))) = K(x,(z * y) / (T(z,y) * x)). [para(116(a,1),8687(a,2,2,1))]. 8689 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [hyper(66,a,7024,a(flip),b,8671,a),flip(a)]. 8690 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(16(a,1),8673(a,1,2)),flip(a)]. 8691 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(285,a,8062,a(flip),b,8690,a),flip(a)]. 8694 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(122,a,8691,a(flip),b,5130,a(flip)),flip(a)]. 8695 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(285,a,5125,a,b,8694,a),flip(a)]. 8696 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8695(a,1,2))]. 8697 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8695(a,1),6106(a,1,1))]. 8698 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(66,a,8609,a(flip),b,8093,a)]. 8700 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(66,a,8014,a(flip),b,8698,a),flip(a)]. 8701 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1270(a,1),8700(a,1,2,2))]. 8702 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5197(a,1),8700(a,1,2,2)),flip(a)]. 8703 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7723(a,1),8700(a,1,2,2)),flip(a)]. 8704 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(25(a,2),8703(a,1,2)),flip(a)]. 8705 K(x \ y,z / ((y / x) * u)) = K(x \ y,z / ((x \ y) * u)). [para(5749(a,1),8703(a,1,2,2)),flip(a)]. 8706 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(16(a,1),8704(a,1,2)),flip(a)]. 8707 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(285,a,8125,a(flip),b,8706,a),flip(a)]. 8710 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8707(a,1,2))]. 8711 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5149(a,1),8102(a,1,1,1,2))]. 8712 K(x,T(T(y,z) \ 1,u)) = T(K(x,T(y \ 1,u)),z). [para(8027(a,1),8107(a,1,1)),flip(a)]. 8713 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(66,a,8115,a(flip),b,8118,a),flip(a)]. 8715 K((x \ y) * L(x,z,z \ 1),x) = K(y,x). [hyper(66,a,8632,a(flip),b,8259,a),flip(a)]. 8716 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(285,a,3462,a(flip),b,8267,a),flip(a)]. 8718 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [hyper(124,a,8716,a(flip),b,97,a),flip(a)]. 8719 T(K(x,y) * z,T(y,u)) = K(x,y) * T(z,T(y,u)). [hyper(6375,a,8268,a),flip(a)]. 8721 K(T(K(x,y) * z,T(y,u)) \ 1,w) = K(T(z,T(y,u)) \ K(y,x),w). [para(8719(a,2),6490(a,1,1,1))]. 8722 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(8400(a,1),8319(a,2,1))]. 8723 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(285,a,8459,a(flip),b,8322,a),flip(a)]. 8724 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7990(a,1),8325(a,1,1)),flip(a)]. 8725 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(66,a,6655,a(flip),b,8724,a)]. 8726 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(179(a,1),8724(a,1,1,2)),flip(a)]. 8727 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(249(a,1),8724(a,1,1,2))]. 8730 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6403,a,8726,a),flip(a)]. 8731 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(66,a,6648,a(flip),b,8726,a),flip(a)]. 8732 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(66,a,6636,a(flip),b,8726,a),flip(a)]. 8733 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5124(a,2),8726(a,1,2)),flip(a)]. 8734 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7990(a,1),8327(a,1,1)),flip(a)]. 8735 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(179(a,1),8734(a,1,2,2)),flip(a)]. 8736 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6331(a,1),8734(a,1,2,2)),flip(a)]. 8738 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6389,a,8735,a),flip(a)]. 8739 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(124,a,8735,a(flip),b,273,a)]. 8740 T(x,y * (z * x)) = T(x,y * (x * z)). [para(8739(a,1),8056(a,1,2)),flip(a)]. 8741 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(285,a,6646,a(flip),b,8736,a),flip(a)]. 8742 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(8741(a,2),8479(a,2,1)),flip(a)]. 8743 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8332(a,2),5321(a,1,1))]. 8744 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(285,a,8027,a(flip),b,8340,a),flip(a)]. 8745 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(6665(a,1),8345(a,1,1,1,2))]. 8746 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(32(a,2),8348(a,2,1))]. 8747 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(285,a,4230,a(flip),b,8369,a),flip(a)]. 8748 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(66,a,6778,a(flip),b,8747,a)]. 8749 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8364,a,8373,a),flip(a)]. 8750 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(122,a,8749,a(flip),b,5130,a(flip)),flip(a)]. 8751 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(285,a,5125,a,b,8750,a),flip(a)]. 8752 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(66,a,6628,a,b,8751,a)]. 8753 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [hyper(285,a,8359,a(flip),b,8374,a),flip(a)]. 8755 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5150(a,1),8753(a,1,2,1,1)),flip(a)]. 8757 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7865,a,8422,a),flip(a)]. 8758 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(14(a,1),8757(a,1,2,2)),flip(a)]. 8760 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(753(a,1),8512(a,1,2,1,2))]. 8761 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4197(a,1),8520(a,1,2,1))]. 8762 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4811(a,1),8523(a,1,2)),flip(a)]. 8763 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(285,a,5123,a,b,8524,a),flip(a)]. 8764 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5596(a,1),8763(a,2,1,2,1))]. 8765 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7794(a,1),8763(a,2,1,2))]. 8766 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(753(a,1),8543(a,1,2,2,1)),flip(a)]. 8767 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z \ 1)). [hyper(285,a,7691,a(flip),b,8617,a),flip(a)]. 8768 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5383(a,1),8633(a,1,1,2))]. 8769 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(8768(a,2),5821(a,2,1))]. 8770 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(5590,a,8645,a(flip))]. 8771 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7716(a,1),8645(a,1,2))]. 8772 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3978(a,2),8770(a,2,2))]. 8773 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(8409(a,1),8770(a,1,2))]. 8774 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8656(a,2),7930(a,1,1))]. 8775 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(136,a,8711,a)]. 8776 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(8711(a,1),5374(a,1,1))]. 8777 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(285,a,5307,a(flip),b,8718,a),flip(a)]. 8778 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4959,a,8777,a)]. 8779 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(285,a,7876,a,b,8742,a),flip(a)]. 8780 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8775(a,1),5448(a,1,2))]. 8781 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8775(a,1),5454(a,1,2))]. 8782 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(66,a,6566,a(flip),b,8776,a)]. 8783 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5836(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8784 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(6725(a,1),8780(a,1,2,1,2,2))]. 8785 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(8215(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8786 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(8122(a,1),7743(a,1,1))]. 8787 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(87(a,1),7754(a,1,2,1,1))]. 8788 R(x,y,T(z,K(y,u))) = R(x,y,z). [hyper(7818,a,7898,a),flip(a)]. 8789 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(7990(a,1),8788(a,1,3,2))]. 8790 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(8406(a,1),8789(a,1,3))]. 8792 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(285,a,5178,a(flip),b,8064,a),flip(a)]. 8793 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7756(a,1),8792(a,1,2))]. 8794 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5981(a,1),8793(a,1,2,1))]. 8795 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(4227(a,1),8104(a,1,1))]. 8796 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8795(a,1),8215(a,1,1,2)),flip(a)]. 8797 K(x * L(y,z,y),y) = K(y * x,y). [hyper(285,a,8293,a(flip),b,8796,a),flip(a)]. 8801 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8174(a,1),8133(a,2,2))]. 8802 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(285,a,5788,a(flip),b,8801,a),flip(a)]. 8804 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7682(a,1),8238(a,1,1,2)),flip(a)]. 8805 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(66,a,8008,a(flip),b,8326,a),flip(a)]. 8806 K(T(x,R(y,z,u) * w),L(y,w,R(y,z,u))) = K(T(x,w),y). [hyper(66,a,8007,a(flip),b,8329,a),flip(a)]. 8807 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(7147(a,1),8462(a,1,2))]. 8808 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4828(a,1),8500(a,1,1,1,2)),flip(a)]. 8809 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(589(a,1),8611(a,1,2))]. 8810 K(x,a(K(x,y),z,u)) = 1. [hyper(66,a,6013,a(flip),b,8809,a),flip(a)]. 8812 T(x,a(K(x,y),z,u)) = x. [hyper(59,a,8810,a)]. 8813 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,8812,a)]. 8814 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8812(a,1),28(a,1,1)),flip(a)]. 8815 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8812(a,1),7756(a,1,2,1)),flip(a)]. 8816 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8814(a,1),6154(a,1,2))]. 8817 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8813(a,1),7756(a,1,2,1)),flip(a)]. 8818 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8732(a,2,2))]. 8819 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7999,a,8807,a)]. 8821 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5527(a,1),7638(a,1,2))]. 8822 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5527(a,1),8821(a,2,2))]. 8823 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [hyper(124,a,8822,a(flip),b,104,a),flip(a)]. 8824 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4121(a,1),8823(a,1,2,1))]. 8825 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4121(a,1),8824(a,2,2,2))]. 8826 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8825(a,1),4158(a,1,1))]. 8827 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(66,a,7066,a,b,7655,a)]. 8829 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7788(a,2),6546(a,1))]. 8831 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(66,a,7792,a(flip),b,8077,a)]. 8832 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(66,a,7695,a(flip),b,8086,a)]. 8833 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(66,a,7792,a(flip),b,8092,a)]. 8834 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(216(a,1),8833(a,1,2))]. 8835 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6327(a,2),8833(a,1,2,1))]. 8836 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [hyper(66,a,8027,a(flip),b,8108,a),flip(a)]. 8837 L(K(T(x \ 1,y),z),u,w) = K(T(L(x,u,w) \ 1,y),z). [para(8028(a,1),8114(a,1,1))]. 8838 K(T(L(x \ 1,y,z) \ 1,u),w) = L(K(T(x,u),w),y,z). [para(3345(a,1),8837(a,1,1)),flip(a)]. 8839 K(x,T(L(y \ 1,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(8838(a,1),5320(a,1,1)),flip(a)]. 8840 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5335(a,1),8119(a,1,2,2))]. 8841 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(180,a,8840,a)]. 8843 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5149(a,2),8841(a,1,1,1))]. 8844 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5385(a,1),8841(a,1,1)),flip(a)]. 8845 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5400(a,1),8841(a,1,1)),flip(a)]. 8846 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7768(a,1),8845(a,1,1))]. 8847 L(x,y,x) \ x = x \ R(x,y,x). [hyper(66,a,5792,a(flip),b,8846,a),flip(a)]. 8848 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(285,a,2229,a,b,8843,a),flip(a)]. 8849 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1523(a,1),8848(a,1,1)),flip(a)]. 8850 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6280(a,1),8844(a,1,1))]. 8851 R(x,y,x) \ x = x \ L(x,y,x). [hyper(66,a,8549,a(flip),b,8850,a),flip(a)]. 8852 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,7040,a,b,8851,a)]. 8853 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(122,a,8851,a(flip),b,1153,a)]. 8854 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),2708(a,1,1,2,1))]. 8855 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8853(a,1),5056(a,2,2))]. 8856 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(8160(a,1),6629(a,1,2))]. 8857 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(66,a,7696,a(flip),b,8161,a)]. 8858 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(66,a,6692,a(flip),b,8198,a)]. 8859 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(8637(a,1),8318(a,1,2))]. 8860 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(4062(a,1),8346(a,2,2))]. 8861 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(8860(a,1),5731(a,1,1))]. 8862 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(66,a,8748,a(flip),b,8861,a),flip(a)]. 8863 L(x,R(y,x,y),x) = L(x,y,x). [hyper(66,a,5661,a(flip),b,8862,a)]. 8864 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(285,a,4332,a(flip),b,8863,a),flip(a)]. 8865 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(616(a,1),8382(a,1,1,2,1)),flip(a)]. 8866 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(66,a,7114,a(flip),b,8467,a),flip(a)]. 8868 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7681(a,2),8476(a,2,1))]. 8869 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(224,a,8484,a,b,xx)]. 8871 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(8869(a,1),981(a,2,1))]. 8873 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8491(a,1),8438(a,1))]. 8874 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,y)). [hyper(285,a,8226,a(flip),b,8494,a),flip(a)]. 8875 K(x,x \ y) * ((z * (x \ y)) * x) = T((z * (y / x)) * x,K(x,y)). [para(7567(a,1),8874(a,1,2))]. 8876 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(285,a,8513,a(flip),b,8514,a),flip(a)]. 8877 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(15(a,1),8876(a,1,2,1,1)),flip(a)]. 8878 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(66,a,8474,a(flip),b,8877,a)]. 8879 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(7217(a,2),8592(a,2,2))]. 8880 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7681(a,2),8596(a,1,2))]. 8881 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(285,a,5302,a,b,8621,a),flip(a)]. 8882 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(96(a,1),8881(a,1,2,1,2)),flip(a)]. 8883 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7396(a,1),8702(a,1,2)),flip(a)]. 8885 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(8777(a,1),8778(a,1,1))]. 8886 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(5977(a,1),8779(a,2,1,1))]. 8887 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(285,a,5625,a(flip),b,8827,a),flip(a)]. 8888 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(66,a,8516,a(flip),b,8887,a)]. 8889 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [hyper(66,a,4612,a,b,8839,a)]. 8890 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(285,a,1810,a(flip),b,8855,a),flip(a)]. 8891 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5530(a,1),8890(a,1,2))]. 8892 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(285,a,6688,a(flip),b,8858,a),flip(a)]. 8893 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(133,a,8859,a)]. 8894 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(4259(a,1),8864(a,1,2)),flip(a)]. 8895 L(x,L(y,x,y),x) = L(x,y,x). [hyper(285,a,4328,a(flip),b,8894,a),flip(a)]. 8897 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(8895(a,1),34(a,1,1)),flip(a)]. 8898 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(285,a,34,a(flip),b,8897,a),flip(a)]. 8899 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(66,a,5309,a,b,8898,a)]. 8900 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(66,a,7184,a(flip),b,8883,a),flip(a)]. 8901 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(x,T(y,w)),z,u). [hyper(285,a,6032,a(flip),b,8889,a),flip(a)]. 8902 L(K(x,T(y \ 1,z)),u,w) = K(x,T(L(y,u,w) \ 1,z)). [para(87(a,1),8901(a,1,2,1,1,1)),flip(a)]. 8903 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(32(a,2),7793(a,1,1))]. 8904 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8021(a,1),8314(a,1,2))]. 8905 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(285,a,8015,a(flip),b,8101,a),flip(a)]. 8906 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(66,a,8465,a(flip),b,8905,a),flip(a)]. 8907 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6556,a,8906,a)]. 8909 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(66,a,6120,a,b,8906,a)]. 8910 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(14(a,1),8906(a,1,2,1,1)),flip(a)]. 8913 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(66,a,7995,a(flip),b,8910,a),flip(a)]. 8914 K(x,T(L(y,z,u) \ 1,u * z)) = K(x,(u * z) / (u * (z * y))). [para(103(a,1),8913(a,2,2,2))]. 8915 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(66,a,8008,a(flip),b,8110,a),flip(a)]. 8916 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(8470(a,1),6083(a,1,1,1)),flip(a)]. 8918 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8598(a,1),4179(a,1,2))]. 8919 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5074(a,1),8649(a,1,1,1))]. 8920 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5097(a,1),8919(a,1,1)),flip(a)]. 8921 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(285,a,30,a,b,8920,a),flip(a)]. 8922 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(8921(a,1),34(a,1,1)),flip(a)]. 8923 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(66,a,7032,a(flip),b,8669,a),flip(a)]. 8924 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5516(a,1),8923(a,1,1,2,1)),flip(a)]. 8925 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8923(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8926 K(x,R(y \ 1,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [hyper(66,a,7163,a(flip),b,8684,a)]. 8927 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(8786(a,1),7712(a,2,1))]. 8928 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(66,a,8622,a(flip),b,8787,a),flip(a)]. 8930 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8804(a,2),6262(a,1))]. 8931 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2684(a,1),8903(a,2,1,1))]. 8932 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7626(a,1),7633(a,1,2,2)),flip(a)]. 8933 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(285,a,5595,a(flip),b,8932,a),flip(a)]. 8935 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,8933,a),flip(a)]. 8936 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,7107,a(flip),b,7750,a),flip(a)]. 8937 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,6727,a(flip),b,8936,a)]. 8938 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(205(a,1),8936(a,1,1,2)),flip(a)]. 8940 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8938(a,2),6554(a,1))]. 8941 (x * (y * K(z,u))) / (K(u,z) \ y) = x * K(u,K(z,K(u,z) \ y)). [para(7396(a,1),7877(a,1,1,2))]. 8942 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7932(a,1),7923(a,1,1))]. 8943 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / z) = x / z. [hyper(5452,a,8942,a)]. 8944 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8942(a,1),114(a,1,1,1)),flip(a)]. 8945 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8943(a,1),47(a,1)),flip(a)]. 8946 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(285,a,8008,a(flip),b,8032,a),flip(a)]. 8948 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(136,a,8946,a)]. 8949 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(28(a,1),8948(a,1,2))]. 8950 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(66,a,5519,a(flip),b,8949,a),flip(a)]. 8951 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(143,a,8950,a),flip(a)]. 8953 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(8159(a,1),8951(a,1,1)),flip(a)]. 8954 L(x,y,T(x,z)) = L(x,y,x). [hyper(285,a,5670,a(flip),b,8953,a),flip(a)]. 8958 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8954(a,1),30(a,2,1))]. 8961 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(285,a,30,a,b,8958,a),flip(a)]. 8963 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5114(a,1),8245(a,1,2)),flip(a)]. 8964 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(66,a,8722,a(flip),b,8317,a)]. 8965 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8389(a,2),5220(a,2,1))]. 8966 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(285,a,8334,a(flip),b,8415,a),flip(a)]. 8967 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(66,a,8419,a(flip),b,8966,a)]. 8970 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5340(a,1),8597(a,1,1,2))]. 8971 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [hyper(66,a,8149,a(flip),b,8601,a),flip(a)]. 8973 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [hyper(285,a,6626,a,b,8971,a),flip(a)]. 8974 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (y / x)). [hyper(285,a,8130,a,b,8973,a),flip(a)]. 8975 K(x \ y,(y / x) * z) = K(x \ y,z * (y / x)). [para(115(a,1),8974(a,1,2,1))]. 8976 K((x \ y) \ K(x \ y,(y / x) * z),u) = K(y \ x,T(u,z * (y / x))). [para(8975(a,2),8546(a,1,1,2))]. 8977 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4409(a,1),8624(a,1,2))]. 8978 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(285,a,8683,a(flip),b,8685,a),flip(a)]. 8979 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(66,a,8687,a,b,8978,a)]. 8980 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(90(a,1),8979(a,2,2,2,1))]. 8981 K(T(x,T(y,z)) \ K(y,u),w) = T(K(x \ K(y,u),w),T(y,z)). [hyper(66,a,6577,a(flip),b,8721,a),flip(a)]. 8982 T(((1 / x) * (x / y)) * y,K(y,x)) = a(x \ 1,y \ x,y). [hyper(66,a,6305,a(flip),b,8875,a),flip(a)]. 8983 T(a(x \ 1,x / y,y),K(y,x)) = a(x \ 1,y \ x,y). [para(3938(a,1),8982(a,1,1))]. 8984 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6607,a,8879,a)]. 8985 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8984(a,2),6049(a,1,2))]. 8986 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(285,a,34,a(flip),b,8922,a),flip(a)]. 8987 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,K(u,z) \ y)). [para(5334(a,1),8941(a,1,2))]. 8988 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8324(a,1),8970(a,1,1))]. 8989 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(66,a,6105,a(flip),b,8977,a),flip(a)]. 8990 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5150(a,1),8989(a,1,2,1)),flip(a)]. 8991 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),8990(a,1,2,2)),flip(a)]. 8992 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8991(a,1),7399(a,1,1,2)),flip(a)]. 8993 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(285,a,7399,a(flip),b,8992,a),flip(a)]. 8994 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(66,a,7020,a(flip),b,8993,a)]. 8996 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(285,a,7018,a(flip),b,8994,a),flip(a)]. 8997 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5360(a,1),8996(a,1,2)),flip(a)]. 8998 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5234(a,1),8996(a,1,2))]. 8999 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6254(a,1),8996(a,1,2)),flip(a)]. 9000 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8080(a,1),8996(a,1,2)),flip(a)]. 9001 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(66,a,7019,a(flip),b,8997,a)]. 9002 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8998(a,1),6160(a,1,1))]. 9004 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(14(a,1),9001(a,1,1,2)),flip(a)]. 9005 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8035(a,1),8999(a,1,2,2))]. 9006 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9002(a,1),47(a,1)),flip(a)]. 9007 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,y)). [para(8137(a,1),8987(a,2,2,2))]. 9008 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7884(a,2),9007(a,2,2))]. 9010 L(K(x,y) * K(x,K(y,z * (u * x))),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(6322(a,1),7922(a,2,1,2))]. 9011 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8015(a,1),8094(a,1,2,1,2))]. 9012 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(32(a,2),9011(a,2,2))]. 9013 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8015(a,1),8095(a,1,1,1,2))]. 9014 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(30(a,2),9013(a,2,2))]. 9015 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7695(a,1),9014(a,1,1,1,2))]. 9016 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6322(a,1),8355(a,1,2,1))]. 9017 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(66,a,8551,a(flip),b,9016,a),flip(a)]. 9018 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(285,a,8012,a(flip),b,9017,a),flip(a)]. 9020 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(66,a,7014,a(flip),b,9018,a)]. 9021 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(15(a,1),9018(a,1,2))]. 9022 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(8134(a,1),9018(a,1,1))]. 9023 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [hyper(124,a,9020,a,b,5125,a(flip))]. 9024 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(36(a,1),9020(a,2,2))]. 9025 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(9020(a,1),5190(a,2,1)),flip(a)]. 9026 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [hyper(285,a,32,a,b,9025,a),flip(a)]. 9027 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [hyper(122,a,9026,a(flip),b,5153,a)]. 9028 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(66,a,9005,a(flip),b,9022,a)]. 9030 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9018,a(flip),b,9028,a),flip(a)]. 9031 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(66,a,8142,a,b,9030,a)]. 9032 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7392(a,1),9030(a,1,2,1)),flip(a)]. 9034 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(5474,a,8370,a),flip(a)]. 9036 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(66,a,8019,a(flip),b,9034,a)]. 9037 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(6217(a,1),9036(a,1,1,1)),flip(a)]. 9038 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(66,a,9014,a(flip),b,9015,a),flip(a)]. 9039 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5246(a,1),9038(a,1,2,1))]. 9040 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5150(a,1),9039(a,2,2,1))]. 9041 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5399(a,1),9040(a,1,2,1))]. 9042 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4586(a,1),9041(a,1,2,1)),flip(a)]. 9043 K(x,L(y,z,y)) = K(x,y). [para(4245(a,1),9042(a,1,2)),flip(a)]. 9044 L(K(x,y),z,y) = K(x,y). [hyper(6652,a,9043,a)]. 9045 K(T(x / (y * z),y),z) = K((y * z) \ x,z). [hyper(66,a,8338,a(flip),b,9043,a)]. 9046 T(x,L(y,z,y)) = x * K(x,y). [hyper(124,a,9043,a(flip),b,5125,a(flip)),flip(a)]. 9047 K(x,R(y,z,y)) = K(x,y). [para(4586(a,1),9043(a,1,2)),flip(a)]. 9048 K(L(x,y,z),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9044,a)]. 9049 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(66,a,6663,a(flip),b,9044,a),flip(a)]. 9050 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(66,a,6662,a(flip),b,9044,a)]. 9051 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(124,a,9044,a(flip),b,7068,a(flip))]. 9056 R(K(x,y),z,y) = K(x,y). [hyper(7551,a,9047,a)]. 9057 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(285,a,5344,a,b,9047,a),flip(a)]. 9058 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [hyper(124,a,9047,a(flip),b,5805,a),flip(a)]. 9059 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(35(a,1),9048(a,1,1))]. 9060 K((x \ 1) \ y,x) = K(x * y,x). [para(452(a,1),9048(a,1,1)),flip(a)]. 9061 T(x,L(y,z,x)) = 1 / (x \ K(y,x)). [para(9048(a,1),5302(a,2,2,2))]. 9062 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9048(a,1),5805(a,1,2,1,2)),flip(a)]. 9063 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9048(a,1),5807(a,1,1,1,2)),flip(a)]. 9064 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9048(a,1),8027(a,1,1,2)),flip(a)]. 9065 K(R(x,y,z),z) = K(x,z). [hyper(66,a,9004,a(flip),b,9056,a)]. 9066 (K(x,y) * z) * y = K(x,y) * (z * y). [para(9056(a,1),112(a,1,1)),flip(a)]. 9067 K(T(x / (y * z),y),z) = K(y \ (x / z),z). [para(605(a,1),9065(a,1,1))]. 9068 T(x,L(y,z,y)) = x / K(y,x). [hyper(285,a,7396,a,b,9046,a),flip(a)]. 9069 T(x,L(y,z,y)) = T(x,y). [hyper(285,a,5130,a,b,9046,a),flip(a)]. 9071 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(630,a,9069,a),flip(a)]. 9073 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(285,a,4329,a(flip),b,9069,a),flip(a)]. 9075 L(x,y,x) * T(z,x) = z * L(x,y,x). [hyper(124,a,9069,a(flip),b,27,a(flip))]. 9077 T(x,R(y,z,y)) = T(x,y). [para(4586(a,1),9069(a,1,2)),flip(a)]. 9078 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(124,a,9077,a(flip),b,27,a(flip))]. 9079 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4290(a,1),9077(a,1,2))]. 9080 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4618(a,1),9077(a,1,2))]. 9081 K(R(x,y,x),z) = K(x,z). [hyper(39,a,5344,a,b,9057,a(flip))]. 9082 K(x,R(y,z,y)) != u | K(x,y) = u. [para(9057(a,2),5350(a,1))]. 9083 x * K(R(x,y,x),z) = T(x,z). [hyper(124,a,9081,a,b,5125,a(flip))]. 9084 R(K(x,y),z,x) = K(x,y). [hyper(66,a,9001,a(flip),b,9081,a)]. 9085 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(124,a,9081,a(flip),b,5179,a)]. 9086 K((x \ y) \ T(y,x),z) = K(x,z). [para(4252(a,1),9081(a,1,1))]. 9089 K(x,R(y,z,x)) = K(x,y). [hyper(66,a,9031,a(flip),b,9084,a)]. 9090 (K(x,y) * z) * x = K(x,y) * (z * x). [para(9084(a,1),112(a,1,1)),flip(a)]. 9092 T(x,R(y,z,x)) = x * K(x,y). [hyper(124,a,9089,a(flip),b,5125,a(flip)),flip(a)]. 9093 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6105(a,1),9089(a,1,2))]. 9094 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(9089(a,1),6813(a,1,1)),flip(a)]. 9095 K(L(x,y,x),z) = K(x,z). [hyper(5230,a,9068,a)]. 9097 L(K(x,y),z,x) = K(x,y). [hyper(66,a,8727,a(flip),b,9095,a)]. 9099 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9095(a,1),5272(a,1,1))]. 9100 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(8961(a,1),9095(a,1,1))]. 9101 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(285,a,14,a,b,9097,a),flip(a)]. 9102 K(x,L(y,z,x)) = K(x,y). [hyper(66,a,8735,a(flip),b,9097,a)]. 9103 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(66,a,6637,a(flip),b,9097,a)]. 9104 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(66,a,6636,a(flip),b,9097,a),flip(a)]. 9105 a(x,y,K(x,z)) = 1. [hyper(56,a,9097,a)]. 9106 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(124,a,9097,a(flip),b,104,a),flip(a)]. 9107 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(124,a,9097,a(flip),b,7068,a(flip))]. 9110 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(35(a,1),9102(a,1,2))]. 9111 K(x,(x \ 1) \ y) = K(x,x * y). [para(452(a,1),9102(a,1,2)),flip(a)]. 9112 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(695(a,1),9102(a,1,2)),flip(a)]. 9113 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9102(a,1),6653(a,1,1)),flip(a)]. 9114 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(122,a,9083,a(flip),b,6860,a),flip(a)]. 9115 T(x,R(y,z,x)) = T(x,y). [hyper(285,a,5130,a,b,9092,a),flip(a)]. 9116 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(605(a,1),9115(a,1,2))]. 9117 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(702(a,1),9115(a,1,2))]. 9121 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(66,a,6691,a(flip),b,9060,a),flip(a)]. 9122 x \ T(x * y,x) = y * K(x * y,x). [hyper(124,a,9060,a(flip),b,6466,a),flip(a)]. 9123 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(9060(a,1),6661(a,1,1))]. 9124 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(9060(a,1),6902(a,1,2,1,2))]. 9125 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(9060(a,1),6953(a,1,2,1,2))]. 9127 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(66,a,8574,a,b,9079,a)]. 9128 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(66,a,8399,a(flip),b,9079,a),flip(a)]. 9129 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(117(a,1),9079(a,1,2))]. 9130 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(4076(a,1),9079(a,1,2))]. 9131 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(630,a,9129,a),flip(a)]. 9132 T(x,L(y,z,x)) = T(x,y). [hyper(285,a,5302,a,b,9061,a),flip(a)]. 9133 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9132(a,1,2))]. 9134 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(453(a,1),9132(a,1,2)),flip(a)]. 9135 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(822(a,1),9132(a,1,2)),flip(a)]. 9136 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(706(a,1),9093(a,1,2,2))]. 9137 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9100(a,1),5272(a,1,1))]. 9139 L(K(x,y),z,x) != u | K(x,y) = u. [para(9101(a,2),304(a,1)),flip(b)]. 9140 K(L(x,y,x),z) != u | K(x,z) = u. [para(6653(a,1),9139(a,1))]. 9141 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6637(a,1),9139(a,1))]. 9142 K(x,y) != z | K(R(x,u,x),y) = z. [para(4586(a,1),9140(a,1,1))]. 9144 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(15(a,1),9049(a,2,1,2))]. 9145 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(9049(a,1),6662(a,1,1))]. 9146 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1483(a,1),9050(a,1,1,1)),flip(a)]. 9147 T(T(x * K(y \ (x \ z),x),u),w) \ T(T(x,u),w) = K(T(T(x,u),w),(x * y) \ z). [para(9050(a,1),5894(a,1,1,1,1,2))]. 9148 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9050(a,1),8745(a,1,1,1,2))]. 9149 x * (y * K(x * y,x)) = T(x * y,x). [hyper(5180,a,9051,a),flip(a)]. 9150 R(x,y,K(z,x)) = x. [hyper(475,a,9051,a)]. 9151 R(x,y,K(z,T(x,u))) = x. [hyper(144,a,9150,a(flip))]. 9152 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9150(a,1),471(a,1,1,1)),flip(a)]. 9153 (R(x,y,z) * u) * K(w,x) = R(x,y,z) * (u * K(w,x)). [para(9150(a,1),473(a,1,1,1)),flip(a)]. 9157 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9151(a,1),112(a,1,1)),flip(a)]. 9158 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9151(a,1),472(a,1,1,1)),flip(a)]. 9159 L(x,y,K(z,x)) = x. [hyper(445,a,9066,a)]. 9161 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(116(a,1),9066(a,1,1)),flip(a)]. 9162 L(x,y,K(x,z)) = x. [hyper(6947,a,9159,a)]. 9163 L(x,y,K(z,L(x,u,w))) = x. [hyper(147,a,9159,a)]. 9165 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(9159(a,1),35(a,1,1)),flip(a)]. 9166 (K(x,y) * z) * y != u | K(x,y) * (z * y) = u. [para(9159(a,1),265(a,1,2))]. 9167 (K(x,y) * z) * L(y,u,w) = K(x,y) * (z * L(y,u,w)). [para(9159(a,1),410(a,1,2,1))]. 9168 L(K(x,y),z,K(u,y)) = K(x,y). [para(9159(a,1),6646(a,1,2)),flip(a)]. 9169 L(K(x,y),z,K(u,x)) = K(x,y). [para(9159(a,1),6651(a,1,1)),flip(a)]. 9170 L(x,y,K(R(x,z,u),w)) = x. [hyper(149,a,9162,a(flip))]. 9171 L(T(x,y),z,K(x,u)) = T(x,y). [para(9162(a,1),30(a,2,1))]. 9172 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(9162(a,1),410(a,1,2,1))]. 9173 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(9162(a,1),411(a,1,2,1))]. 9176 L(K(x,y),z,K(y,u)) = K(x,y). [para(9162(a,1),6646(a,1,2)),flip(a)]. 9177 L(K(x,y),z,K(x,u)) = K(x,y). [para(9162(a,1),6651(a,1,1)),flip(a)]. 9179 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(9163(a,1),5280(a,1,2)),flip(a)]. 9180 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(9170(a,1),444(a,1,2,2)),flip(a)]. 9181 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(66,a,8726,a(flip),b,9168,a)]. 9182 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [hyper(124,a,9168,a(flip),b,7068,a(flip))]. 9183 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(66,a,8735,a(flip),b,9169,a)]. 9184 (K(x,y) * (x \ z)) \ (K(x,y) * z) = T(x,x \ z). [hyper(66,a,320,a(flip),b,9171,a)]. 9188 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [hyper(124,a,9176,a(flip),b,7068,a(flip))]. 9189 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(9176(a,1),411(a,1,2,1))]. 9192 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(6094(a,1),9176(a,1,3))]. 9193 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(66,a,8735,a(flip),b,9177,a)]. 9194 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [hyper(124,a,9177,a(flip),b,7068,a(flip))]. 9195 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(9177(a,1),30(a,2,1))]. 9196 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(9177(a,1),34(a,1,1)),flip(a)]. 9197 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(66,a,8584,a(flip),b,9181,a)]. 9198 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9181(a,1),5232(a,2,1,1))]. 9199 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(35(a,1),9183(a,1,2))]. 9200 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(9193(a,1),7881(a,1,2)),flip(a)]. 9202 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(9165(a,1),499(a,1,2))]. 9203 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [hyper(124,a,9071,a(flip),b,27,a(flip)),flip(a)]. 9205 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(118(a,1),9075(a,1,2))]. 9207 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(118(a,1),9078(a,1,2))]. 9209 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5960,a,9080,a),flip(a)]. 9210 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(3372,a,9085,a)]. 9211 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(122,a,9085,a(flip),b,5524,a)]. 9212 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(9085(a,1),4452(a,1,1)),flip(a)]. 9213 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(285,a,5518,a(flip),b,9090,a),flip(a)]. 9215 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(8228(a,1),9090(a,1,1)),flip(a)]. 9217 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5452,a,9099,a)]. 9219 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(122,a,9099,a(flip),b,5530,a)]. 9220 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(122,a,9099,a(flip),b,5529,a),flip(a)]. 9221 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9099(a,1),8891(a,1,2)),flip(a)]. 9222 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(66,a,8423,a,b,9103,a)]. 9223 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(66,a,7369,a(flip),b,9103,a),flip(a)]. 9224 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(5435(a,1),9103(a,1,2,1)),flip(a)]. 9225 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(9103(a,1),5946(a,1,1))]. 9226 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9103(a,1),6563(a,2,2))]. 9227 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(66,a,8154,a,b,9104,a)]. 9228 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9104(a,1),6637(a,1,1))]. 9230 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(122,a,5131,a(flip),b,9106,a),flip(a)]. 9231 (x \ y) * K(y,x) = x \ T(y,x). [hyper(7409,a,9230,a)]. 9232 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(128,a,9230,a),flip(a)]. 9233 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(9231(a,1),23(a,2,1)),flip(a)]. 9234 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(27(a,2),9231(a,1,1))]. 9235 R(x,y,K(x,z)) = x. [hyper(475,a,9107,a)]. 9236 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9107(a,1),6311(a,1,1))]. 9237 R(x,y,K(T(x,z),u)) = x. [hyper(144,a,9235,a(flip))]. 9238 R(T(x,y),z,K(x,u)) = T(x,y). [para(9235(a,1),32(a,2,1))]. 9239 R((x * y) / x,z,K(y,u)) = (x * y) / x. [para(9235(a,1),783(a,2,1,2))]. 9240 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9235(a,1),471(a,1,1,1)),flip(a)]. 9241 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9235(a,1),472(a,1,1,1)),flip(a)]. 9242 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9235(a,1),473(a,1,1,1)),flip(a)]. 9243 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(9235(a,1),1192(a,1,1,3,2))]. 9248 R(x,y,T(x,z)) = R(x,y,x). [para(9235(a,1),6901(a,1,1)),flip(a)]. 9250 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9237(a,1),474(a,1,1)),flip(a),flip(b)]. 9253 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(118(a,1),9248(a,1,3)),flip(a)]. 9254 R(x,y,(x \ z) \ z) = R(x,y,x). [para(117(a,1),9248(a,1,3))]. 9255 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(615(a,1),9248(a,1,3))]. 9256 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9248(a,1),988(a,2,2))]. 9261 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(9238(a,1),6901(a,1,1)),flip(a)]. 9262 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(124,a,7819,a(flip),b,9122,a)]. 9263 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(66,a,4495,a,b,9122,a)]. 9264 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(66,a,1362,a,b,9122,a)]. 9265 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(4084(a,1),9122(a,1,2,1)),flip(a)]. 9266 x \ T(x * y,x) = y * K(y * x,x). [para(5785(a,2),9122(a,2,2))]. 9267 K((((x \ (x * y)) \ 1) * (x \ 1)) \ 1,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(9122(a,1),6971(a,1,2))]. 9268 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(9122(a,2),7561(a,1,1,2))]. 9269 T(x,y \ (x \ 1)) / (x * y) = x * ((x / (x * y)) / x). [hyper(123,a,9133,a(flip),b,3815,a)]. 9270 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(15(a,1),9133(a,1,2,1)),flip(a)]. 9271 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ z)) = T(1 / x,(y * ((1 / x) / y)) \ z). [para(7173(a,1),9133(a,1,2,1)),flip(a)]. 9272 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9133(a,1),8419(a,1,2))]. 9273 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(66,a,8561,a,b,9134,a)]. 9274 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(66,a,7634,a,b,9134,a)]. 9275 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,9144,a)]. 9276 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(9192(a,1),35(a,1,1)),flip(a)]. 9278 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5101(a,1),9197(a,1,1,2))]. 9279 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5146(a,1),9197(a,1,1,2))]. 9280 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5360(a,1),9197(a,1,1,2)),flip(a)]. 9281 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5234(a,1),9197(a,1,1,2))]. 9282 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5545(a,1),9197(a,1,1,2))]. 9284 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5709(a,1),9197(a,1,1,2))]. 9285 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5832(a,1),9197(a,1,1,2))]. 9286 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(224,a,9213,a,b,5152,a)]. 9289 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(285,a,7366,a,b,9223,a)]. 9290 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(285,a,7157,a(flip),b,9223,a),flip(a)]. 9291 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(9223(a,2),7174(a,1,2))]. 9292 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(285,a,4225,a(flip),b,9261,a),flip(a)]. 9293 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [hyper(124,a,9261,a(flip),b,4248,a),flip(a)]. 9294 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5150(a,1),9261(a,1,1)),flip(a)]. 9295 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(9261(a,1),9047(a,1,2))]. 9296 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(9261(a,1),9077(a,1,2))]. 9297 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(32(a,1),9295(a,1,2))]. 9298 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(32(a,1),9296(a,1,2))]. 9299 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4259(a,1),9297(a,1,2,1)),flip(a)]. 9300 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(66,a,3981,a(flip),b,9298,a),flip(a)]. 9301 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4259(a,1),9298(a,1,2,1)),flip(a)]. 9302 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(9266(a,1),6343(a,1,1))]. 9303 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2710(a,1),9274(a,1,2,1)),flip(a)]. 9304 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(66,a,8187,a,b,9275,a)]. 9305 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [hyper(6674,a,9278,a)]. 9306 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(285,a,6844,a,b,9279,a)]. 9307 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(9279(a,1),8027(a,1,1,2))]. 9308 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(9279(a,1),8780(a,1,2,1,2,2))]. 9309 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5115(a,1),9280(a,1,1,2)),flip(a)]. 9310 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(5153(a,2),9280(a,1,1,2))]. 9311 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),9280(a,1,1,2,1))]. 9312 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6270,a,9286,a),flip(a)]. 9313 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6257,a,9286,a)]. 9314 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(285,a,2432,a(flip),b,9286,a),flip(a)]. 9315 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(15(a,1),9286(a,1,1)),flip(a)]. 9316 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(28(a,1),9286(a,2,2))]. 9317 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7681(a,2),9286(a,2,2))]. 9319 K(x,R((y \ 1) * x,z,u) \ 1) = R(K(x,x \ y),z,u). [para(9290(a,1),6934(a,1,1)),flip(a)]. 9320 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(87(a,1),9304(a,1,1,1)),flip(a)]. 9321 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T((T(y,u) * K(z,u)) \ 1,K(z,u) \ 1)). [para(9312(a,2),7847(a,2,2,1,1)),flip(a)]. 9322 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(14(a,1),9313(a,1,2,1)),flip(a)]. 9323 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9313(a,1),1417(a,1,1)),flip(a)]. 9324 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9313(a,1),6268(a,1,1)),flip(a)]. 9325 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(66,a,5185,a,b,9315,a)]. 9327 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(122,a,9315,a(flip),b,972,a),flip(a)]. 9328 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(123,a,9322,a,b,xx)]. 9330 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5764(a,1),9322(a,1,1)),flip(a)]. 9331 K(x,T(K(y,z) * u,z) \ 1) = K(x,T(u,z) \ K(z,y)). [para(9322(a,2),6416(a,1,2,1))]. 9332 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(122,a,9324,a,b,5152,a)]. 9335 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5158(a,1),9328(a,1,1,1))]. 9336 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,9064,a),flip(a)]. 9337 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(453(a,1),9336(a,1,2,2)),flip(a)]. 9338 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(285,a,5232,a,b,9198,a),flip(a)]. 9339 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),9338(a,1,2))]. 9340 (((x * y) / x) \ z) * K(y,y \ z) = ((x * y) / x) \ (y * (z / y)). [para(9239(a,1),5622(a,1,1)),flip(a)]. 9341 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(9292(a,1),9297(a,1,2,1))]. 9343 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(285,a,6513,a,b,9058,a)]. 9344 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(285,a,3195,a(flip),b,9058,a),flip(a)]. 9345 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9058(a,2,2))]. 9346 K((x * y) \ z,y) = K(x \ (z / y),y). [hyper(66,a,9045,a(flip),b,9067,a)]. 9347 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(285,a,8200,a(flip),b,9346,a),flip(a)]. 9348 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(124,a,9347,a(flip),b,6349,a),flip(a)]. 9349 K(L(x \ y,x,z / y),x) = K((z / y) \ (x \ z),x). [para(455(a,2),9347(a,1,1))]. 9350 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9347(a,1),5803(a,1,1,1,2))]. 9351 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(9347(a,1),7399(a,1,1,2))]. 9352 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(66,a,8564,a(flip),b,9116,a)]. 9353 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(285,a,7644,a(flip),b,9352,a),flip(a)]. 9354 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9353(a,1,2))]. 9355 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(8452,a,9121,a)]. 9356 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6423,a,9121,a)]. 9357 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8873,a,9128,a)]. 9360 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6447,a,9203,a)]. 9361 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4586(a,1),9205(a,1,1)),flip(a)]. 9362 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(9207(a,2),1622(a,1,1))]. 9363 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(4252(a,1),9207(a,2,2))]. 9364 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9207(a,1),6264(a,2,2))]. 9365 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9236(a,1),6323(a,1,2))]. 9366 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7453(a,2),9253(a,1,1))]. 9367 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(9263(a,2),5392(a,2,1,2))]. 9368 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(9263(a,2),7642(a,1,2,1))]. 9369 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(211(a,1),9285(a,1,1)),flip(a)]. 9370 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9289(a,1),6939(a,2,2))]. 9371 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(66,a,5337,a(flip),b,9299,a),flip(a)]. 9372 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(4189(a,1),9299(a,1,2))]. 9373 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(124,a,9300,a(flip),b,1679,a)]. 9374 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4189(a,1),9301(a,1,2))]. 9375 K((x / y) \ z,T(z,y)) = K((y \ x) \ z,z). [hyper(285,a,6665,a,b,9306,a),flip(a)]. 9376 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(87(a,1),9306(a,1,1,1)),flip(a)]. 9377 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(9310(a,1),5724(a,1,1,1,2)),flip(a)]. 9378 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(5435(a,1),9332(a,1,2,1))]. 9379 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9355(a,1),6185(a,1,1,1))]. 9380 T(x \ 1,y) \ T(x \ K(x \ z,x \ 1),y) = K(z * (x \ 1),T(x \ 1,y)). [para(9355(a,1),5892(a,1,2,1,2))]. 9384 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(66,a,6165,a,b,9371,a)]. 9385 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(28(a,1),9372(a,2,2))]. 9386 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(4294(a,1),9385(a,1,2)),flip(a)]. 9387 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(285,a,6653,a(flip),b,9113,a),flip(a)]. 9388 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(453(a,1),9387(a,1,2)),flip(a)]. 9390 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4370(a,1),9293(a,2,2))]. 9391 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(66,a,7995,a(flip),b,9112,a),flip(a)]. 9392 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9391(a,2),7726(a,1,1))]. 9393 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(285,a,9221,a(flip),b,9114,a),flip(a)]. 9394 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(285,a,8570,a(flip),b,9117,a),flip(a)]. 9395 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,9152,a)]. 9396 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(66,a,8203,a(flip),b,9152,a),flip(a)]. 9397 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9395,a)]. 9398 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(66,a,6662,a(flip),b,9395,a)]. 9400 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(9395(a,1),410(a,1,2,1))]. 9401 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(789(a,1),9397(a,1,1))]. 9402 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(6760,a,9157,a),flip(a)]. 9403 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(445,a,9157,a)]. 9404 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(66,a,6662,a(flip),b,9403,a)]. 9405 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7495,a,9161,a)]. 9406 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(8226(a,1),9405(a,2,1))]. 9407 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [hyper(66,a,8893,a(flip),b,9179,a)]. 9408 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(9182(a,1),7941(a,1,2))]. 9409 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K((x \ y) \ u,x \ y)) \ y. [hyper(285,a,7461,a,b,9184,a),flip(a)]. 9410 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(9188(a,1),981(a,1,1,2))]. 9411 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8015(a,1),9188(a,1,2)),flip(a)]. 9413 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(9194(a,1),8309(a,2,2))]. 9414 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(66,a,6263,a(flip),b,9212,a)]. 9415 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(66,a,4967,a(flip),b,9226,a),flip(a)]. 9416 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(66,a,4946,a(flip),b,9226,a),flip(a)]. 9417 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,9240,a)]. 9418 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(66,a,6637,a(flip),b,9417,a)]. 9419 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(9262(a,1),6586(a,1,1,1))]. 9420 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(9281(a,1),7035(a,1,1))]. 9421 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(38,a,6319,a,b,9291,a)]. 9422 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(9421(a,1),7432(a,1,1)),flip(a)]. 9423 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(9309(a,1),5807(a,1,1,1,2))]. 9424 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(66,a,8048,a(flip),b,9311,a),flip(a)]. 9425 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5146(a,1),9311(a,1,1,2)),flip(a)]. 9427 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5516(a,1),9311(a,1,1,2)),flip(a)]. 9428 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7997(a,1),9311(a,1,1,2))]. 9430 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(66,a,7994,a(flip),b,9424,a),flip(a)]. 9431 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9430(a,1),7399(a,1,1,2)),flip(a)]. 9432 K((x * K(y,z)) / u,z) = K(x / u,z). [para(8080(a,1),9430(a,1,1,1)),flip(a)]. 9433 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9430(a,1),8780(a,1,2,1,2,2)),flip(a)]. 9434 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1270(a,1),9432(a,1,1,1))]. 9435 K((x * L(K(y,z),u,w)) / v5,z) = K(x / v5,z). [para(5981(a,1),9432(a,1,1,1,2))]. 9436 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(9434(a,1),7399(a,1,1,2)),flip(a)]. 9437 K((x * (y * K(z,u))) / w,z) = K((x * y) / w,z). [para(7558(a,1),9435(a,1,1,1)),flip(a)]. 9438 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(285,a,5552,a(flip),b,9316,a),flip(a)]. 9439 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(9438(a,1),7990(a,1,1))]. 9440 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(976(a,1),9337(a,1,2,2)),flip(a)]. 9441 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(66,a,8616,a(flip),b,9339,a)]. 9443 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5101(a,1),9441(a,1,2,2))]. 9444 T(x,y \ T(x,z)) = T(x,y \ x). [para(5143(a,1),9441(a,1,2,2)),flip(a)]. 9445 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5146(a,1),9441(a,1,2,2))]. 9446 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5158(a,1),9441(a,1,2,2)),flip(a)]. 9447 T(K(x \ T(y,z),u),T(y,x \ y)) = T(K(x \ T(y,z),u),y). [para(9444(a,1),8397(a,1,2))]. 9448 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9445(a,1),5178(a,1,2,1))]. 9449 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9445(a,1),8522(a,1,2))]. 9450 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(118(a,1),9446(a,1,2,2,1)),flip(a)]. 9451 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(7411,a,9351,a),flip(a)]. 9452 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(9351(a,1),7411(a,1))]. 9453 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9451(a,1,2))]. 9454 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(105(a,2),9452(a,1,2))]. 9455 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,((x / y) \ (x * z)) / x). [hyper(285,a,7744,a(flip),b,9453,a),flip(a)]. 9456 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(66,a,7361,a(flip),b,9453,a),flip(a)]. 9457 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4083(a,1),9453(a,2,2,2,2))]. 9458 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(4201(a,1),9453(a,2,2,2,2))]. 9459 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9393(a,1),9131(a,1,1,2,1))]. 9460 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(9122(a,2),9396(a,1,2))]. 9461 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(285,a,9282,a(flip),b,9398,a),flip(a)]. 9463 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9461(a,1),7884(a,2,2))]. 9466 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(9404(a,1),5977(a,1,1))]. 9467 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(9416(a,1),7399(a,1,1))]. 9468 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(37,a,6721,a,b,9422,a),flip(a)]. 9469 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(66,a,9144,a(flip),b,9468,a),flip(a)]. 9470 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [hyper(66,a,6484,a(flip),b,9468,a),flip(a)]. 9471 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1081(a,1),9469(a,1,1,2,1)),flip(a)]. 9472 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(9469(a,1),5302(a,2,2,2))]. 9473 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(285,a,6724,a(flip),b,9425,a),flip(a)]. 9474 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6311(a,1),9425(a,1,1,2)),flip(a)]. 9475 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(285,a,7399,a(flip),b,9431,a),flip(a)]. 9476 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5146(a,1),9475(a,1,2,1)),flip(a)]. 9477 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5564(a,1),9475(a,1,2,1))]. 9478 R(K(x,y / (z / u)),K(x,w) * y,u) = K(x,((K(x,w) * y) * u) / z). [para(9475(a,1),6102(a,1,1))]. 9479 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8357(a,1),9475(a,1,2,1))]. 9480 x * K(x,(x * y) / z) = T(x,(y * x) / z). [hyper(124,a,9476,a(flip),b,5125,a(flip))]. 9481 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(1552(a,1),9476(a,2,2))]. 9482 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5180,a,9480,a),flip(a)]. 9484 K((x * (y * z)) / u,z) = K((x * (z * y)) / u,z). [para(96(a,1),9437(a,1,1,1,2)),flip(a)]. 9485 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(7682(a,1),9437(a,1,1,1,2))]. 9486 K((x * (y * K(z,u))) / w,T(z,v5)) = K((x * y) / w,T(z,v5)). [para(7990(a,1),9437(a,1,1,1,2,2))]. 9487 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1642(a,1),9460(a,1,2)),flip(a)]. 9488 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1672(a,1),9460(a,1,2)),flip(a)]. 9489 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(393(a,2),9467(a,1,1,2,2,1))]. 9490 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(9467(a,1),1353(a,1,1,2,1))]. 9491 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(285,a,5302,a,b,9472,a),flip(a)]. 9492 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(14(a,1),9491(a,1,2,2,1)),flip(a)]. 9493 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1081(a,1),9491(a,1,2,2,1)),flip(a)]. 9494 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(66,a,9133,a(flip),b,9492,a)]. 9495 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,9494,a),flip(a)]. 9496 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K((L(y,z,x) * (x * z)) / u,T(y,x * z)). [para(582(a,1),9484(a,1,1,1)),flip(a)]. 9497 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [hyper(66,a,8689,a(flip),b,9485,a)]. 9498 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7685(a,1),9330(a,1,2))]. 9499 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(66,a,5764,a(flip),b,9498,a),flip(a)]. 9500 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(254,a,9499,a)]. 9501 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7540(a,1),9500(a,1,1))]. 9502 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(28(a,1),9384(a,1,2))]. 9503 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(66,a,6225,a(flip),b,9502,a)]. 9504 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(28(a,1),9503(a,1,2))]. 9505 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(4200(a,1),9504(a,2,2))]. 9506 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5785(a,2),9124(a,1,2,1,2))]. 9507 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(37,a,9149,a,b,9125,a)]. 9509 L(K(x,y),z,R(y,u,w)) = K(x,y). [hyper(445,a,9153,a)]. 9510 K(x,L(y,z,R(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9509,a)]. 9511 K(T(x,R(y,z,u) * w),y) = K(T(x,w),y). [hyper(66,a,8806,a(flip),b,9510,a),flip(a)]. 9513 R(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(475,a,9167,a)]. 9514 K((x * L(y,z,u)) / w,y) = K(x / (w / L(y,z,u)),y). [hyper(66,a,7033,a(flip),b,9513,a)]. 9515 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(475,a,9173,a)]. 9516 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5146(a,1),9173(a,1,1)),flip(a)]. 9517 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(9173(a,1),5521(a,1,1,2))]. 9518 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(66,a,9031,a(flip),b,9515,a)]. 9519 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,9004,a(flip),b,9515,a)]. 9520 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(706(a,1),9518(a,1,2))]. 9521 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9519(a,1),5190(a,2,1)),flip(a)]. 9522 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9519(a,1),6512(a,1,1,1)),flip(a)]. 9523 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5334(a,1),9224(a,1,2))]. 9524 K(x,L(x * (y \ z),x \ 1,y) \ 1) = K(x,z \ (y * (x \ 1))). [hyper(66,a,6636,a(flip),b,9225,a),flip(a)]. 9525 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(90(a,1),9225(a,1,1,2,2)),flip(a)]. 9526 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,9241,a)]. 9527 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9241(a,1),7399(a,1,1))]. 9528 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9241(a,1),7411(a,1,1))]. 9529 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(9241(a,1),7941(a,1,2))]. 9530 K(x,T(L(y,z,L(x,u,w)) \ 1,v5)) = K(x,T(y \ 1,v5)). [hyper(66,a,8902,a(flip),b,9526,a)]. 9531 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9526,a)]. 9532 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,8805,a(flip),b,9531,a),flip(a)]. 9534 K(x,(L(x,y,z) * u) / (L(x,y,z) * (u * w))) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,8914,a(flip),b,9532,a)]. 9535 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9532(a,1,2,2)),flip(a)]. 9536 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6756,a,9242,a),flip(a)]. 9537 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(519,a,9242,a),flip(a)]. 9538 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(445,a,9242,a)]. 9539 ((x / y) * R(y,z,y)) * K(y,u) = R(y,z,y) * ((y \ x) * K(y,u)). [para(9207(a,1),9242(a,1,1))]. 9540 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9538,a)]. 9541 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(128,a,9537,a)]. 9543 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(9266(a,1),9264(a,1,1)),flip(a)]. 9544 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) / (y * ((1 / x) / y)) = (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)). [para(7173(a,1),9269(a,1,2))]. 9545 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(66,a,8027,a(flip),b,9307,a),flip(a)]. 9546 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5307(a,1),9314(a,1,1))]. 9547 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(285,a,5799,a(flip),b,9546,a),flip(a)]. 9548 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(66,a,6754,a,b,9547,a)]. 9549 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9325(a,2),1416(a,2,1,2))]. 9550 K(x,T(y,z) \ K(z,u)) = T(K(x,y \ K(z,u)),z). [hyper(66,a,6562,a(flip),b,9331,a),flip(a)]. 9551 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(66,a,5002,a(flip),b,9348,a)]. 9552 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(16(a,1),9551(a,1,1,1,2)),flip(a)]. 9553 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6385(a,2),9388(a,2,2,2)),flip(a)]. 9554 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(8227,a,9406,a)]. 9555 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(7953,a,9554,a)]. 9556 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(7940(a,1),9555(a,2,1))]. 9558 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(9436(a,2),7411(a,1))]. 9559 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(285,a,7884,a(flip),b,9463,a),flip(a)]. 9560 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(37,a,9149,a,b,9506,a)]. 9562 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9506(a,1),8141(a,2,1))]. 9563 K((K(x,(y / L(z,u,w)) \ 1) * L(z,u,w)) / y,z) = K((x * (1 / (y / L(z,u,w)))) / x,z). [para(5696(a,1),9514(a,2,1))]. 9564 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1614(a,2),9516(a,1,2))]. 9565 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(285,a,32,a,b,9521,a),flip(a)]. 9566 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(27(a,2),9523(a,1,2,2)),flip(a)]. 9567 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7563,a,9527,a)]. 9568 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9567,a)]. 9569 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9567,a)]. 9570 K((L(x,y,z) \ u) \ w,x) = K(u \ (L(x,y,z) * w),x). [hyper(66,a,6663,a(flip),b,9567,a),flip(a)]. 9571 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(124,a,9567,a(flip),b,104,a),flip(a)]. 9572 K((L(x,y,z) \ 1) \ u,x) = K(L(x,y,z) * u,x). [para(452(a,1),9569(a,1,1)),flip(a)]. 9573 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4206(a,1),9569(a,1,1))]. 9575 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(9552(a,1),8605(a,1,2,1))]. 9576 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(9552(a,1),8700(a,1,2,2))]. 9577 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(14(a,1),9576(a,1,2,2,1,1))]. 9578 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(122,a,9565,a(flip),b,5529,a),flip(a)]. 9579 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9565(a,1),9094(a,1,1,2)),flip(a)]. 9580 K((L(x,y,z) \ x) \ u,x) = K(L(x,y,z) * (x \ u),x). [para(1240(a,1),9570(a,2,1))]. 9581 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(285,a,9445,a(flip),b,9135,a),flip(a)]. 9582 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(285,a,6596,a(flip),b,9135,a),flip(a)]. 9584 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(9582(a,2),6542(a,1))]. 9586 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9250,a,6644,a)]. 9587 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(66,a,8088,a(flip),b,9586,a),flip(a)]. 9588 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(66,a,8014,a(flip),b,9587,a)]. 9589 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(66,a,9476,a,b,9588,a)]. 9590 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(15(a,1),9588(a,1,2,1)),flip(a)]. 9591 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(66,a,9479,a,b,9589,a)]. 9592 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(66,a,8131,a,b,9590,a)]. 9593 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(16(a,1),9592(a,1,2,2))]. 9594 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(66,a,8075,a,b,9593,a)]. 9595 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [hyper(124,a,9593,a(flip),b,5125,a(flip))]. 9596 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(9593(a,1),7399(a,1,1,2))]. 9597 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [hyper(8426,a,9594,a)]. 9598 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5180,a,9595,a),flip(a)]. 9599 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(285,a,8675,a(flip),b,9598,a),flip(a)]. 9600 T(x,(x * y) / (x * z)) = T(x,y / z). [para(14(a,1),9599(a,1,2,1)),flip(a)]. 9601 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(15(a,1),9600(a,1,2,2))]. 9602 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(66,a,9482,a,b,9601,a)]. 9603 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7411,a,9596,a),flip(a)]. 9605 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9268(a,1),5562(a,1,1,2))]. 9606 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(8136(a,1),9268(a,2,1))]. 9607 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(285,a,4999,a(flip),b,9303,a),flip(a)]. 9608 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9369(a,1),7860(a,1,1)),flip(a)]. 9610 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [hyper(285,a,7024,a(flip),b,9497,a),flip(a)]. 9611 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(9610(a,1),7531(a,1,1,2)),flip(a)]. 9612 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [hyper(285,a,7531,a(flip),b,9611,a),flip(a)]. 9613 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(5294(a,1),9612(a,1,3)),flip(a)]. 9614 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(8080(a,1),9612(a,1,3)),flip(a)]. 9615 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4932(a,2),9613(a,1,3))]. 9616 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(9614(a,1),1191(a,1,1,1)),flip(a)]. 9617 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(9584,a,9581,a),flip(a)]. 9619 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(15(a,1),9617(a,1,2,2))]. 9620 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(15(a,1),9619(a,1,2,1,2))]. 9621 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(285,a,6592,a(flip),b,9620,a),flip(a)]. 9622 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(14(a,1),9621(a,1,2,1,1))]. 9623 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(66,a,9445,a,b,9622,a)]. 9624 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(15(a,1),9623(a,1,2,1)),flip(a)]. 9625 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(9624(a,1),5918(a,1,2,1,1))]. 9626 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(15(a,1),9607(a,1,2,2)),flip(a)]. 9627 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(285,a,5805,a(flip),b,9062,a),flip(a)]. 9628 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(452(a,1),9627(a,1,1)),flip(a)]. 9629 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(66,a,6691,a(flip),b,9628,a),flip(a)]. 9631 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(9063(a,2),7487(a,1))]. 9632 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(66,a,8354,a(flip),b,9136,a)]. 9633 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(66,a,7934,a(flip),b,9632,a),flip(a)]. 9634 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(66,a,8938,a,b,9284,a)]. 9635 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(285,a,417,a(flip),b,9323,a),flip(a)]. 9636 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(9327(a,1),7436(a,1,1)),flip(a)]. 9637 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(285,a,7437,a(flip),b,9636,a),flip(a)]. 9638 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(285,a,7153,a(flip),b,9637,a),flip(a)]. 9639 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(285,a,6392,a(flip),b,9356,a),flip(a)]. 9640 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(285,a,7802,a,b,9639,a),flip(a)]. 9641 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(14(a,1),9640(a,2,2))]. 9642 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(66,a,8758,a(flip),b,9357,a)]. 9644 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9642(a,1),8428(a,1))]. 9645 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(37,a,9416,a,b,9370,a(flip))]. 9647 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(15(a,1),9645(a,1,2,1)),flip(a)]. 9648 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9645(a,1),7399(a,1,1,2)),flip(a)]. 9649 K(x,(x * (y \ z)) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,9103,a,b,9647,a)]. 9650 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(90(a,1),9647(a,1,2,2)),flip(a)]. 9651 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(9647(a,1),5977(a,1,1)),flip(a)]. 9652 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(7304(a,1),9647(a,1,2,1)),flip(a)]. 9653 K(x,L(x * (y \ z),x \ 1,u) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,7584,a,b,9649,a)]. 9654 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(285,a,7399,a(flip),b,9648,a),flip(a)]. 9655 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(15(a,1),9654(a,1,1,1)),flip(a)]. 9656 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),9654(a,1,1,1))]. 9657 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,9050,a,b,9655,a)]. 9658 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9655(a,1),5302(a,2,2,2)),flip(a)]. 9659 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,6986,a,b,9657,a)]. 9661 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(9650(a,2),5766(a,1))]. 9662 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5304,a,9658,a),flip(a)]. 9663 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,9133,a,b,9662,a)]. 9664 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,7586,a,b,9663,a)]. 9665 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(66,a,8015,a(flip),b,9401,a)]. 9666 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(66,a,8832,a(flip),b,9665,a),flip(a)]. 9667 K((x * (y * T(z,u))) / w,T(z,v5)) = K((x * (y * z)) / w,T(z,v5)). [para(6322(a,1),9486(a,1,1,1,2))]. 9668 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(285,a,8136,a(flip),b,9566,a),flip(a)]. 9669 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(66,a,8866,a(flip),b,9668,a)]. 9671 K(x,K(y \ x,y) * z) = K(x,z). [hyper(66,a,5336,a(flip),b,9669,a),flip(a)]. 9673 K(x * y,K(y,x) * z) = K(x * y,z). [para(14(a,1),9671(a,1,2,1,1))]. 9674 K(x,K(y,y \ x) * z) = K(x,z). [para(5360(a,1),9671(a,1,2)),flip(a)]. 9675 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5737(a,1),9671(a,1,2))]. 9676 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5749(a,1),9671(a,1,2)),flip(a)]. 9677 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(9671(a,1),7460(a,1,1,2))]. 9678 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9674(a,1),5146(a,1,1))]. 9679 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9673(a,1),5150(a,1,1,2))]. 9680 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(87(a,1),9675(a,1,2,1)),flip(a)]. 9681 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9679(a,1),6315(a,1,2)),flip(a)]. 9682 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(604(a,1),9629(a,1,2)),flip(a)]. 9683 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5775,a,9678,a)]. 9684 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4141,a,9683,a)]. 9685 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(9684(a,1),218(a,1,2,2)),flip(a)]. 9686 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(9233(a,1),8206(a,1,2)),flip(a)]. 9688 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9365(a,1),647(a,1))]. 9689 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(66,a,4413,a(flip),b,9420,a),flip(a)]. 9690 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(8049,a,9689,a)]. 9692 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(9690(a,1),5649(a,1,1,2))]. 9693 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9690(a,1),7399(a,1,1,2))]. 9694 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(7411,a,9693,a)]. 9695 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5785(a,2),9507(a,2,1,2))]. 9696 K(x,y \ (z * (x \ 1))) = K(x,y \ (x \ z)). [hyper(66,a,9653,a(flip),b,9524,a),flip(a)]. 9698 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9560(a,1),441(a,1,2,2))]. 9699 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,9158,a)]. 9700 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(9189(a,1),2181(a,2,2))]. 9701 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6528(a,1),9209(a,1,1))]. 9702 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5150(a,1),9294(a,1,1)),flip(a)]. 9703 R(x,y,x * K(z,x)) = R(x,y,x). [para(5150(a,1),9702(a,1,3)),flip(a)]. 9704 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5193(a,1),9703(a,1,3))]. 9705 (x * (((y * x) / y) \ z)) / x = ((y * x) / y) \ (x * (z / x)). [hyper(66,a,8256,a(flip),b,9340,a)]. 9706 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5545(a,1),9364(a,1,2)),flip(a)]. 9707 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8015(a,1),9411(a,1,2,2)),flip(a)]. 9708 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(123,a,9501,a(flip),b,9419,a(flip))]. 9709 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(66,a,7541,a,b,9708,a)]. 9711 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9107(a,2),9474(a,1,1,2))]. 9712 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(285,a,4161,a(flip),b,9487,a),flip(a)]. 9713 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(285,a,4160,a(flip),b,9488,a),flip(a)]. 9714 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(14(a,1),9713(a,1,1,2,1)),flip(a)]. 9715 K(1 / x,L((1 / x) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(285,a,5978,a(flip),b,9525,a),flip(a)]. 9716 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(9302(a,1),9562(a,1,1))]. 9717 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(14(a,1),9641(a,1,2))]. 9718 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(66,a,8892,a(flip),b,9717,a)]. 9720 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(285,a,9647,a(flip),b,9652,a),flip(a)]. 9721 K((x * (T(y,z) * u)) / w,T(y,z)) = K((x * (u * y)) / w,T(y,z)). [hyper(66,a,9484,a(flip),b,9667,a)]. 9722 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(66,a,9428,a(flip),b,9711,a),flip(a)]. 9724 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(66,a,8857,a(flip),b,9722,a),flip(a)]. 9727 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,7264,a(flip),b,9715,a)]. 9728 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(5766,a,9727,a)]. 9729 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4586(a,1),9361(a,1,2))]. 9730 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(135,a,9729,a)]. 9731 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(9729(a,1),4182(a,1,2)),flip(a)]. 9732 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1152(a,1),9730(a,1,1,2))]. 9733 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(285,a,9373,a,b,9732,a),flip(a)]. 9734 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4011,a,9733,a)]. 9735 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(66,a,9731,a,b,9734,a)]. 9737 T(x,y * R(x,z,x)) = T(x,x * y). [para(16(a,1),9735(a,1,2,2)),flip(a)]. 9738 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(285,a,5130,a(flip),b,9737,a),flip(a)]. 9739 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5207,a,9738,a)]. 9740 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(66,a,8222,a,b,9739,a)]. 9741 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(9142,a,9740,a)]. 9743 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9448(a,1),5473(a,1))]. 9744 R(K(x,y / (z / u)),y,u) = K(x,((K(x,w) * y) * u) / z). [hyper(66,a,8996,a(flip),b,9478,a)]. 9746 K(x,((K(x,y) * z) * u) / w) = K(x,(z * u) / w). [hyper(66,a,6102,a(flip),b,9744,a),flip(a)]. 9747 K(x,(((y / x) \ z) * u) / w) = K(x,(((x \ y) \ z) * u) / w). [para(5854(a,1),9746(a,1,2,1,1)),flip(a)]. 9748 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [hyper(7842,a,9747,a),flip(a)]. 9749 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(285,a,7882,a(flip),b,9608,a),flip(a)]. 9750 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(66,a,7884,a,b,9749,a)]. 9751 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7713(a,1,2,1))]. 9752 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(6627(a,1),7843(a,2,2))]. 9753 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [hyper(285,a,7682,a(flip),b,9752,a),flip(a)]. 9754 K(x,T(y * x,x \ 1) \ (x * z)) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [hyper(66,a,9104,a(flip),b,8164,a)]. 9755 (((x * y) / x) \ (y * (z / y))) \ 1 = (((x * y) / x) \ z) \ K(y \ z,y). [para(9705(a,1),8260(a,2,1)),flip(a)]. 9757 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(285,a,5816,a(flip),b,8371,a),flip(a)]. 9758 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(285,a,6840,a(flip),b,9757,a),flip(a)]. 9759 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(66,a,6468,a(flip),b,9758,a)]. 9760 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(285,a,6392,a(flip),b,9759,a),flip(a)]. 9761 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(27(a,2),9760(a,2,2))]. 9762 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(x \ 1,y),z)) * x. [para(3339(a,1),8418(a,2,1,2,1))]. 9763 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(6126(a,1),8446(a,1,2))]. 9764 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(7539,a,8638,a),flip(a)]. 9767 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(8755(a,1),8105(a,1,2))]. 9768 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(285,a,8780,a(flip),b,8783,a),flip(a)]. 9769 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(90(a,1),9768(a,1,2,1,1)),flip(a)]. 9770 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(118(a,1),9768(a,1,2)),flip(a)]. 9771 K(x,T((y * K(z,u)) \ 1,w)) = K(x,T(K(u,z) / y,w)). [para(7399(a,1),9768(a,1,2,1,1)),flip(a)]. 9772 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(66,a,8906,a(flip),b,9770,a),flip(a)]. 9773 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(9770(a,1),7682(a,1,2))]. 9774 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(66,a,9770,a(flip),b,9769,a)]. 9775 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(285,a,5699,a,b,9773,a)]. 9776 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(90(a,1),9773(a,1,2,2,2)),flip(a)]. 9777 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(38,a,8120,a,b,9776,a),flip(a)]. 9780 K(x,T(T(y * K(z,u),w) \ 1,v5)) = T(K(x,T(K(u,z) / y,v5)),w). [para(9771(a,1),8712(a,2,1))]. 9781 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6564,a,9775,a)]. 9782 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(9781(a,1),8052(a,1,1,2))]. 9783 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8054,a,9782,a),flip(a)]. 9784 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4105(a,1),8835(a,1,1))]. 9785 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(285,a,8701,a(flip),b,9784,a),flip(a)]. 9786 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u * (x / y))). [hyper(8547,a,8976,a)]. 9787 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(285,a,9261,a(flip),b,9255,a),flip(a)]. 9789 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9345(a,1,1,2))]. 9790 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9789(a,2),7531(a,1,1))]. 9791 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(285,a,5724,a(flip),b,9377,a),flip(a)]. 9792 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(994(a,1),9791(a,1,2,2)),flip(a)]. 9793 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(8051(a,1),9791(a,1,2,2))]. 9794 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(7395(a,1),9793(a,1,2,2)),flip(a)]. 9795 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(285,a,8831,a(flip),b,9794,a),flip(a)]. 9796 K(T(x,y),z \ (T(x,y) \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9696,a(flip),b,9795,a)]. 9797 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9792,a(flip),b,9796,a)]. 9799 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,9797,a),flip(a)]. 9800 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(66,a,7206,a(flip),b,9799,a),flip(a)]. 9801 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(355(a,1),9800(a,1,2,2))]. 9802 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(14(a,1),9712(a,1,1,2,1))]. 9803 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(14(a,1),9714(a,1,1,2,1)),flip(a)]. 9804 (((x * y) / x) \ z) \ K(y \ z,y) = (T(y,x) * (y \ (z / y))) \ 1. [para(4292(a,1),9755(a,1,1)),flip(a)]. 9805 (((x * y) / x) \ z) \ K(y \ z,y) = (K(y,x) * (z / y)) \ 1. [para(5153(a,1),9804(a,2,1))]. 9806 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ K(T(x,z) \ 1,y)) * x. [para(6080(a,2),9762(a,2,1,2))]. 9807 (1 / x) \ T(T(x \ 1,y),K(y,z)) = (x \ K(T(x,z) \ 1,y)) * x. [para(421(a,1),9806(a,1,2))]. 9809 (x \ K(T(x,y) \ 1,z)) * x != u | T(T(x \ 1,z),K(z,y)) * x = u. [para(9807(a,1),6790(a,1))]. 9810 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4154(a,1),7668(a,2,1,2))]. 9811 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,9810,a),flip(a)]. 9812 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(66,a,7741,a(flip),b,7739,a)]. 9813 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,9699,a(flip),b,9812,a),flip(a)]. 9815 K((L(x,y,z) * u) / w,T(x,u)) = K(w \ (L(x,y,z) * u),x). [hyper(66,a,7694,a(flip),b,9813,a),flip(a)]. 9816 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(66,a,5319,a(flip),b,9813,a),flip(a)]. 9817 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9813(a,1,2,2)),flip(a)]. 9818 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9813(a,1),7707(a,1,2,2)),flip(a)]. 9819 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(186(a,1),9817(a,2,2))]. 9820 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7823,a,9816,a)]. 9821 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9820(a,1),8849(a,1,2))]. 9822 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,8271,a),flip(a)]. 9823 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(66,a,7832,a(flip),b,8272,a)]. 9825 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9823,a),flip(a)]. 9826 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8283(a,1),9825(a,1,2))]. 9827 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(285,a,5805,a(flip),b,8296,a),flip(a)]. 9828 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5360(a,1),9827(a,1,1)),flip(a)]. 9829 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5360(a,1),9828(a,1,1)),flip(a)]. 9830 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5973(a,1),9828(a,1,1,1))]. 9831 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [hyper(124,a,9829,a(flip),b,5125,a(flip))]. 9832 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6375,a,9831,a),flip(a)]. 9833 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(9832(a,2),7436(a,1,1))]. 9834 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(15(a,1),9833(a,1,1,1)),flip(a)]. 9835 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(285,a,5119,a,b,9834,a),flip(a)]. 9836 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8006(a,1),9835(a,1,2))]. 9837 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7392(a,1),9836(a,1,2)),flip(a)]. 9838 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9837(a,1),8648(a,1,1,2))]. 9839 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7943(a,1),8388(a,1,1,3))]. 9840 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5334(a,1),9839(a,2,2))]. 9841 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5599(a,1),8519(a,1,2)),flip(a)]. 9842 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(285,a,8028,a(flip),b,9841,a),flip(a)]. 9843 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(32(a,2),9842(a,2,1))]. 9844 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(9082,a,9843,a)]. 9846 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(66,a,8550,a(flip),b,9844,a),flip(a)]. 9847 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(66,a,8746,a(flip),b,9846,a)]. 9848 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(66,a,5329,a,b,9847,a)]. 9850 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,9031,a(flip),b,8697,a),flip(a)]. 9852 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,8696,a(flip),b,9850,a)]. 9854 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),9852(a,1,2,2)),flip(a)]. 9855 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(9852(a,1),7399(a,1,1,2)),flip(a)]. 9856 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(545(a,1),9854(a,1,2)),flip(a)]. 9857 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(285,a,7399,a(flip),b,9855,a),flip(a)]. 9858 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5143(a,1),9857(a,1,1,2)),flip(a)]. 9859 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(9858(a,1),5722(a,1,2,1,2)),flip(a)]. 9860 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(285,a,5722,a(flip),b,9859,a),flip(a)]. 9862 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8010,a(flip),b,8834,a),flip(a)]. 9864 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(6570(a,1),8871(a,1,1,2))]. 9865 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(5125(a,2),9864(a,1,1)),flip(a)]. 9866 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(6691(a,1),9865(a,1,1))]. 9867 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) = K(L(y,z,u) * (x \ 1),y). [hyper(285,a,3246,a(flip),b,9866,a),flip(a)]. 9868 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(285,a,6081,a(flip),b,8916,a),flip(a)]. 9869 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(66,a,9195,a(flip),b,9868,a),flip(a)]. 9871 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6322(a,1),9869(a,1,2))]. 9872 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7392(a,1),9869(a,1,2)),flip(a)]. 9873 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7702(a,1),9869(a,1,2)),flip(a)]. 9874 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(271(a,1),9872(a,1,2))]. 9875 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5981(a,1),9872(a,1,2,2))]. 9876 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(66,a,8392,a(flip),b,9874,a)]. 9877 T(K(x,y \ (x \ z)),z) = T(K(x,y \ (x \ z)),y). [hyper(66,a,8065,a(flip),b,9876,a),flip(a)]. 9878 T(K(x,y),x) != z | K(x,y) = z. [para(9876(a,1),192(a,1))]. 9879 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9876(a,1),8360(a,1,1))]. 9881 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2746(a,1),9878(a,1))]. 9884 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(5836(a,2),9881(a,1))]. 9885 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(7674(a,2),9881(a,1,1))]. 9887 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(285,a,8393,a(flip),b,9871,a),flip(a)]. 9888 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(9887(a,1),7324(a,1,2)),flip(a)]. 9889 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(285,a,5344,a(flip),b,9888,a),flip(a)]. 9890 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [hyper(124,a,9889,a(flip),b,27,a(flip))]. 9891 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(103(a,1),9875(a,1,2))]. 9893 T(K(x,L(x \ y,x,z)),z) = T(K(x,z \ (x \ (z * y))),z * y). [para(9453(a,2),9877(a,2,1)),flip(a)]. 9894 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(9891(a,1),8495(a,1,1)),flip(a)]. 9895 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7681(a,2),9894(a,2,1))]. 9897 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7756(a,1),9895(a,1,2,2)),flip(a)]. 9898 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(9122(a,2),9895(a,1,2,2)),flip(a)]. 9899 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(7493,a,9890,a),flip(a)]. 9900 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5518(a,2),9899(a,1,2))]. 9901 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(66,a,8868,a(flip),b,9900,a)]. 9902 T(K(x,y \ (x \ (y * z))),y * z) = K(x,L(T(x \ z,y),x,y)). [hyper(66,a,7705,a,b,9893,a),flip(a)]. 9903 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(8930,a,9897,a)]. 9904 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(285,a,6259,a,b,9903,a),flip(a)]. 9905 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(66,a,6219,a(flip),b,9904,a),flip(a)]. 9906 K(x,T(y \ (x \ (y * z)),y * z)) = K(x,L(T(x \ z,y),x,y)). [hyper(8428,a,9902,a)]. 9907 K(x,L(T(x \ y,z),x,z)) = K(x,(z * y) / (z * x)). [hyper(66,a,9597,a(flip),b,9906,a),flip(a)]. 9908 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(285,a,5320,a(flip),b,8927,a),flip(a)]. 9909 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(6133(a,1),9908(a,1,1))]. 9910 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(7761(a,1),9909(a,1,1,1,1))]. 9911 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(13(a,1),9910(a,1,1))]. 9912 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(66,a,32,a,b,9911,a)]. 9913 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(66,a,8053,a(flip),b,9912,a),flip(a)]. 9914 R(K(x,T(T(y,z),z * u)),z,u) = K(x,((z / y) * u) \ (z * u)). [para(7681(a,2),9912(a,1,1))]. 9915 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(66,a,8786,a(flip),b,9914,a)]. 9916 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(285,a,9913,a(flip),b,9915,a),flip(a)]. 9917 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8216(a,1),8935(a,1,1,2))]. 9918 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9917,a),flip(a)]. 9920 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(9918(a,1),6960(a,2,2,2,1,1))]. 9921 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(285,a,153,a(flip),b,8944,a),flip(a)]. 9922 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(285,a,5169,a,b,9921,a),flip(a)]. 9924 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(285,a,7881,a,b,9922,a),flip(a)]. 9925 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(66,a,5803,a(flip),b,9350,a),flip(a)]. 9926 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(285,a,4131,a(flip),b,9390,a),flip(a)]. 9927 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(116(a,1),9606(a,1,1,2,2,1))]. 9928 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(285,a,8725,a(flip),b,9927,a),flip(a)]. 9929 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(285,a,7995,a(flip),b,7737,a),flip(a)]. 9930 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(285,a,5704,a(flip),b,9929,a),flip(a)]. 9932 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(285,a,4596,a(flip),b,9930,a),flip(a)]. 9933 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4318(a,1),9932(a,1,2))]. 9934 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(124,a,14,a(flip),b,7850,a)]. 9935 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9934(a,1),6879(a,1,2))]. 9936 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),8033(a,1,2,2,1))]. 9938 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [hyper(66,a,8015,a(flip),b,8096,a)]. 9939 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(125,a,8471,a),flip(a)]. 9940 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4830(a,1),9939(a,1,1)),flip(a)]. 9941 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,6194,a,b,9940,a)]. 9942 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(32(a,2),8545(a,1,2,2,2,1))]. 9943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(285,a,5804,a(flip),b,8586,a),flip(a)]. 9944 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(285,a,8602,a(flip),b,8603,a),flip(a)]. 9946 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(87(a,1),9944(a,1,1,2,1,2,1))]. 9948 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8713,a(flip),b,9946,a)]. 9949 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8251,a(flip),b,9948,a)]. 9950 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(285,a,8523,a(flip),b,8762,a),flip(a)]. 9951 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(597(a,1),9950(a,1,2,1,1)),flip(a)]. 9952 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5076(a,1),9951(a,1,2,1)),flip(a)]. 9953 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7681(a,2),9952(a,2,2))]. 9955 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(285,a,8780,a(flip),b,8785,a),flip(a)]. 9956 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(5130(a,2),9955(a,1,2,1,2))]. 9957 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(7687(a,1),9955(a,1,2,1,2,2))]. 9958 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(8650(a,1),9956(a,1,2,1))]. 9959 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(66,a,9957,a(flip),b,9958,a),flip(a)]. 9961 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(5073(a,2),9959(a,1,2,1,1))]. 9962 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [hyper(285,a,8752,a(flip),b,9961,a),flip(a)]. 9963 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(66,a,8906,a(flip),b,8909,a),flip(a)]. 9964 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8199(a,1),9148(a,1,1,1,2)),flip(a)]. 9965 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1770(a,1),9964(a,2,1))]. 9966 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(285,a,8027,a(flip),b,9965,a),flip(a)]. 9967 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(7940(a,1),9215(a,2,1))]. 9968 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(8781,a,9308,a),flip(a)]. 9969 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(280(a,2),9968(a,1,2,1,2)),flip(a)]. 9970 K(x * (y \ 1),T(y \ 1,z)) = K(y \ x,T(y \ 1,z)). [hyper(6059,a,9380,a),flip(a)]. 9971 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6121,a,9970,a)]. 9972 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(285,a,8906,a(flip),b,9971,a),flip(a)]. 9973 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(66,a,8906,a(flip),b,9972,a)]. 9974 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(66,a,9963,a(flip),b,9973,a)]. 9975 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(285,a,8038,a(flip),b,9974,a),flip(a)]. 9976 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(66,a,8038,a(flip),b,9975,a)]. 9977 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(66,a,8552,a,b,9976,a)]. 9978 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(285,a,8780,a(flip),b,9433,a),flip(a)]. 9979 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8080(a,1),9978(a,1,2,1,1)),flip(a)]. 9980 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(4202(a,1),9505(a,1,2))]. 9981 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(285,a,8264,a(flip),b,9980,a),flip(a)]. 9984 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(285,a,5785,a,b,9981,a),flip(a)]. 9985 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(223(a,1),9579(a,2,1))]. 9986 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(66,a,9564,a(flip),b,9985,a),flip(a)]. 9987 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7908(a,1),9677(a,1,1,1))]. 9988 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7682(a,1),9818(a,2,2))]. 9989 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9567(a,1),9988(a,1,1)),flip(a)]. 9990 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(285,a,152,a(flip),b,9989,a),flip(a)]. 9991 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5361(a,1),9989(a,1,2)),flip(a)]. 9993 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9990(a,1),1320(a,1,1,2,1))]. 9994 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(66,a,9529,a(flip),b,9991,a)]. 9995 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7953,a,9994,a)]. 9996 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(285,a,7914,a,b,9995,a)]. 9997 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(37,a,7862,a,b,9996,a)]. 9998 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(285,a,7881,a,b,9997,a),flip(a)]. 9999 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(14(a,1),9942(a,1,2))]. 10001 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(17(a,1),9967(a,1,2)),flip(a)]. 10002 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(66,a,9556,a,b,10001,a)]. 10004 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(6537(a,1),10002(a,1,1))]. 10005 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7936(a,1),9987(a,1,1,1))]. 10006 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(7900(a,1),10005(a,1,1))]. 10007 K(T(x,y),z) * (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [hyper(5464,a,10006,a)]. 10008 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [para(7761(a,1),10007(a,1,1))]. 10009 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(5666,a,10008,a)]. 10010 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(66,a,8964,a(flip),b,10009,a),flip(a)]. 10011 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5322(a,1),10010(a,2,1))]. 10012 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5322(a,1),10011(a,1,1,1))]. 10013 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6270,a,10012,a),flip(a)]. 10014 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(10013(a,2),215(a,1,2,2))]. 10015 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7761(a,1),8055(a,2,1,2))]. 10016 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(17(a,1),8623(a,1,2))]. 10017 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(66,a,9000,a(flip),b,10016,a)]. 10018 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(32(a,2),8723(a,1,1,2))]. 10019 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5817(a,1),8769(a,1,1)),flip(a)]. 10020 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(14(a,1),10019(a,2,1,1,2,1))]. 10021 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(8768(a,1),10020(a,1,1)),flip(a)]. 10022 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(285,a,9720,a(flip),b,9458,a),flip(a)]. 10023 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5905,a,9686,a),flip(a)]. 10024 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10023(a,1),4174(a,1,2))]. 10026 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10024(a,1),7479(a,1))]. 10027 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8880(a,1),10015(a,2,1))]. 10028 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(285,a,9840,a(flip),b,10027,a),flip(a)]. 10029 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7761(a,1),10028(a,1,1,2))]. 10030 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7997(a,1),10029(a,1,2))]. 10031 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8815(a,2),10030(a,1,1))]. 10032 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(9979(a,1),10017(a,1,1))]. 10033 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(66,a,10016,a(flip),b,10032,a),flip(a)]. 10035 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7940(a,1),10018(a,1,2))]. 10036 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3207(a,1),10035(a,1,2))]. 10038 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10036(a,1),5720(a,1,1,2))]. 10039 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5595(a,1),10038(a,1,1))]. 10040 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(66,a,6925,a(flip),b,10039,a),flip(a)]. 10041 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(8782(a,1),8341(a,1,1))]. 10042 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(66,a,8339,a(flip),b,10041,a),flip(a)]. 10043 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8028(a,1),10042(a,1,1))]. 10044 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5149(a,2),10043(a,1,2,1))]. 10045 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7718(a,2),10044(a,2,1,2)),flip(a)]. 10046 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(285,a,5794,a(flip),b,10045,a),flip(a)]. 10047 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(8407(a,1),10046(a,2,2))]. 10048 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7700(a,1),10047(a,1,1,2,2))]. 10049 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(8771(a,1),10048(a,1,1))]. 10050 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6333,a,10049,a),flip(a)]. 10051 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(66,a,7835,a,b,10050,a)]. 10052 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(224,a,6311,a,b,10051,a)]. 10053 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(7994(a,1),10052(a,1,1,2)),flip(a)]. 10054 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(8013(a,1),10052(a,1,1,2)),flip(a)]. 10055 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(66,a,8409,a(flip),b,10053,a),flip(a)]. 10056 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(66,a,9127,a(flip),b,10054,a),flip(a)]. 10057 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(66,a,10053,a,b,10056,a)]. 10058 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(10057(a,1),8772(a,1,2)),flip(a)]. 10059 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(285,a,8770,a(flip),b,10058,a),flip(a)]. 10060 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3978(a,1),10059(a,1,2))]. 10061 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(66,a,9130,a,b,10060,a)]. 10062 T(K(x \ T(y,z),u),T(y,x)) = T(K(x \ T(y,z),u),y). [hyper(66,a,9447,a(flip),b,10060,a),flip(a)]. 10063 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(285,a,8406,a,b,10061,a)]. 10064 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(285,a,5130,a(flip),b,10061,a),flip(a)]. 10065 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(66,a,8562,a(flip),b,10061,a),flip(a)]. 10066 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6592(a,1),10061(a,1,2))]. 10067 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5207,a,10064,a)]. 10068 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(10064(a,2),5180(a,1))]. 10069 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z)). [hyper(66,a,8767,a,b,10067,a)]. 10070 K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u)). [hyper(66,a,9386,a(flip),b,10067,a)]. 10071 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(66,a,8247,a(flip),b,10067,a)]. 10072 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(66,a,8246,a(flip),b,10067,a)]. 10073 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,u),z)). [para(28(a,1),10067(a,1,2))]. 10074 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6592(a,1),10067(a,1,2))]. 10075 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(6600(a,1),10067(a,1,2)),flip(a)]. 10076 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(10067(a,1),7682(a,1,2))]. 10077 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(198(a,1),10065(a,1,2)),flip(a)]. 10078 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(168(a,1),10071(a,1,2)),flip(a)]. 10079 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(168(a,1),10071(a,2,2))]. 10080 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(169(a,1),10071(a,1,2)),flip(a)]. 10081 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(8434,a,10074,a),flip(a)]. 10082 K(x,T(y,z \ L(y,u,w))) = K(x,T(y,z)). [hyper(285,a,9817,a(flip),b,10074,a),flip(a)]. 10083 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(10074(a,1),8434(a,1))]. 10084 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(285,a,10074,a,b,10081,a),flip(a)]. 10085 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(66,a,7694,a(flip),b,10081,a),flip(a)]. 10086 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(14(a,1),10081(a,1,2,2))]. 10087 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(10081(a,1),8111(a,1,1,2))]. 10090 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10063(a,2),10068(a,1))]. 10092 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(28(a,1),10090(a,1))]. 10093 T(x \ y,K(x,z)) != u | T(y / x,T(x,z)) = u. [para(118(a,1),10090(a,1,1))]. 10095 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,z),u)). [para(28(a,1),10073(a,2,2))]. 10096 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(7681(a,1),10076(a,1,2))]. 10097 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9624(a,1),10084(a,1,2))]. 10098 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(10084(a,1),10083(a,1))]. 10099 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(32(a,2),10085(a,1,2))]. 10100 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(225,a,10096,a)]. 10102 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(37,a,6079,a,b,10096,a)]. 10103 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(285,a,7872,a,b,10100,a)]. 10104 T(K(x,y),z \ K(u,w)) = T(K(x,y),K(w,u) * z). [hyper(66,a,6600,a(flip),b,10100,a),flip(a)]. 10105 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(10100(a,1),3032(a,1,2))]. 10106 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(10100(a,2),7757(a,1))]. 10107 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6594(a,2),10106(a,1))]. 10108 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8001(a,1),10107(a,1))]. 10109 K(x,T(y,(z * (u * y)) \ (z * u))) = K(x,T(y,a(z,u,y))). [para(19(a,2),10097(a,1,2,2)),flip(a)]. 10110 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9443(a,1),10097(a,1,2)),flip(a)]. 10111 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(285,a,6080,a,b,10102,a),flip(a)]. 10112 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(37,a,7872,a,b,10103,a)]. 10113 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(10103(a,1),7873(a,1))]. 10114 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(285,a,7908,a,b,10112,a),flip(a)]. 10115 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(66,a,8656,a,b,10112,a)]. 10116 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(66,a,7908,a,b,10112,a)]. 10117 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(66,a,7921,a(flip),b,10112,a)]. 10118 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5704(a,2),10112(a,1,2))]. 10119 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5708(a,1),10112(a,1,2))]. 10120 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6392(a,1),10112(a,1,2))]. 10121 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6416(a,1),10112(a,1,2))]. 10122 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10114,a)]. 10123 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(66,a,7884,a(flip),b,10114,a)]. 10124 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6392(a,1),10114(a,1,2)),flip(a)]. 10125 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(10114(a,1),8774(a,1,1,1)),flip(a)]. 10126 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(285,a,7884,a(flip),b,10116,a),flip(a)]. 10127 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(66,a,7885,a,b,10116,a)]. 10128 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5967(a,2),10122(a,1,2))]. 10129 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10123,a),flip(a)]. 10130 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(10118(a,1),7957(a,1,1))]. 10131 K(x,K(y,z \ T(y,u))) = K(x,K(y,z)). [hyper(285,a,8196,a(flip),b,10120,a),flip(a)]. 10132 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7589(a,1),10124(a,1,2)),flip(a)]. 10133 K(x,K(y,z)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10131(a,1),7917(a,1,1))]. 10134 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7681(a,2),10105(a,1,2))]. 10135 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(66,a,9272,a(flip),b,10110,a),flip(a)]. 10136 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9270(a,1),10110(a,1,2)),flip(a)]. 10137 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(66,a,8383,a,b,10111,a)]. 10138 (1 / (x * y)) * K(x,y) = K(x,y) * (1 / (x * y)). [para(4193(a,1),10134(a,1,2))]. 10140 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(285,a,6120,a,b,10135,a),flip(a)]. 10142 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,7968,a,b,10136,a)]. 10144 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(66,a,6120,a,b,10140,a)]. 10145 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(14(a,1),10144(a,1,2,2)),flip(a)]. 10146 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(10072(a,2),10098(a,1))]. 10147 K(x \ 1,T(y,K(z,x) * u)) = K(x \ 1,T(y,u)). [hyper(66,a,10069,a(flip),b,10075,a),flip(a)]. 10148 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(10078(a,1),5420(a,1,2))]. 10149 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(10078(a,2),7906(a,2,1))]. 10150 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(10080(a,1),6829(a,1,2))]. 10151 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(66,a,8111,a(flip),b,10087,a),flip(a)]. 10152 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(10066(a,1),10151(a,1,2))]. 10153 T(K(x,y),T(y,z) \ K(y,u)) = K(x,y). [hyper(285,a,7714,a(flip),b,10104,a),flip(a)]. 10154 K(x,y) * (T(y,z) \ K(y,u)) = (T(y,z) \ K(y,u)) * K(x,y). [hyper(124,a,10153,a(flip),b,27,a(flip)),flip(a)]. 10155 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(10112(a,1),10115(a,1,1))]. 10156 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(66,a,8655,a(flip),b,10155,a),flip(a)]. 10157 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7884(a,1),10155(a,1,1))]. 10158 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(66,a,10155,a(flip),b,10157,a),flip(a)]. 10159 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(66,a,8653,a(flip),b,10157,a)]. 10160 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(66,a,8651,a(flip),b,10157,a)]. 10161 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7881,a,b,10158,a)]. 10162 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7042(a,1),10159(a,1,2)),flip(a)]. 10163 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7958,a(flip),b,10161,a),flip(a)]. 10164 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(10121(a,1),7889(a,1,1))]. 10165 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(10123(a,1),10127(a,1,1))]. 10166 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10129(a,1),10127(a,1,1))]. 10167 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(66,a,8742,a,b,10165,a)]. 10168 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10165,a(flip),b,10166,a)]. 10169 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(66,a,8479,a(flip),b,10166,a)]. 10170 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(285,a,7881,a,b,10168,a)]. 10171 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,10123,a(flip),b,10168,a),flip(a)]. 10172 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,7958,a(flip),b,10168,a),flip(a)]. 10173 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(285,a,7881,a,b,10169,a),flip(a)]. 10174 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(66,a,8657,a(flip),b,10169,a)]. 10175 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(10169(a,2),7888(a,1,2))]. 10176 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(268(a,1),10170(a,2,2,2))]. 10177 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [hyper(66,a,8659,a,b,10174,a)]. 10178 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6573(a,1),10128(a,2,2))]. 10179 (K(x,y) * (1 / (x * y))) * y = (1 / (x * y)) * (y * K(x,y)). [para(10138(a,1),7379(a,1,1))]. 10180 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(66,a,10173,a,b,10172,a)]. 10181 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(66,a,8499,a(flip),b,10175,a)]. 10182 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6032(a,1),10177(a,1,2))]. 10183 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6648(a,1),10182(a,1,2)),flip(a)]. 10184 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10168,a,b,10183,a)]. 10185 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(122,a,10148,a(flip),b,5522,a),flip(a)]. 10186 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(10148(a,1),4419(a,1,1)),flip(a)]. 10187 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(122,a,10150,a(flip),b,5522,a),flip(a)]. 10188 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(122,a,10150,a(flip),b,5152,a),flip(a)]. 10189 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(4904(a,1),10117(a,1,2,1)),flip(a)]. 10190 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8654(a,1),10125(a,2,1))]. 10191 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(7908(a,1),10133(a,1,1))]. 10192 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,10097,a(flip),b,10142,a),flip(a)]. 10193 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(7891,a,10164,a),flip(a)]. 10194 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(8138(a,1),10193(a,2,2))]. 10195 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(165(a,1),10194(a,1,2,2,2))]. 10196 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7953,a,10195,a)]. 10197 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6392(a,1),10195(a,1,2))]. 10198 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10195(a,1),10090(a,1))]. 10199 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(285,a,7940,a,b,10196,a),flip(a)]. 10200 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6468(a,1),10196(a,1,2))]. 10201 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [hyper(66,a,8536,a,b,10199,a)]. 10203 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8541,a,10197,a),flip(a)]. 10204 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8537,a,10197,a),flip(a)]. 10205 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [hyper(285,a,8658,a(flip),b,10197,a),flip(a)]. 10206 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(10203(a,1),5178(a,1,2,1))]. 10207 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(10203(a,1),7945(a,1,1))]. 10208 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(122,a,10204,a(flip),b,7401,a)]. 10209 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(285,a,8226,a(flip),b,10200,a),flip(a)]. 10210 T((x / y) \ 1,K(z,x \ y)) = (x / y) \ 1. [hyper(66,a,7746,a(flip),b,10200,a),flip(a)]. 10211 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(10200(a,2),7953(a,1))]. 10212 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(66,a,10055,a,b,10209,a)]. 10213 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10212(a,1),5240(a,1,1))]. 10214 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(8152(a,1),10213(a,1,1))]. 10215 T((x / y) \ 1,z / (x \ y)) = T((x / y) \ 1,(x \ y) \ z). [para(10210(a,1),10213(a,1,1))]. 10216 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [hyper(66,a,10201,a(flip),b,10205,a),flip(a)]. 10217 x \ T(y * x,K(y,z)) = T(T(y,K(x,z)),x). [para(10216(a,1),4927(a,1,1)),flip(a)]. 10219 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(10217(a,2),10092(a,1))]. 10220 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(285,a,8041,a(flip),b,10207,a),flip(a)]. 10221 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7286(a,1),10208(a,1,1,1,1))]. 10222 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(8315,a,10220,a)]. 10223 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7884(a,1),10222(a,1,1))]. 10224 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7879(a,1),10223(a,1,1))]. 10225 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(66,a,8886,a(flip),b,10167,a)]. 10226 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(285,a,5190,a,b,10190,a),flip(a)]. 10228 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(66,a,10196,a(flip),b,10226,a),flip(a)]. 10230 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9718(a,2),10108(a,1))]. 10231 K(x,T(y,L(y,z,u) \ 1)) = K(x,T(y,a(u,z,y))). [para(6596(a,1),10109(a,1,2))]. 10232 K(x,T(y,a(z,u,y))) = K(x,y). [hyper(66,a,9819,a(flip),b,10231,a),flip(a)]. 10234 T(x,T(y,a(z,u,y))) = x * K(x,y). [hyper(124,a,10232,a(flip),b,5125,a(flip)),flip(a)]. 10235 T(x,T(y,a(z,u,y))) = T(x,y). [hyper(285,a,5130,a,b,10234,a),flip(a)]. 10236 (x * T(y,a(z,u,y))) / T(x,y) = T(y,a(z,u,y)). [para(10235(a,1),179(a,1,2))]. 10237 T(x,T(a(y,z,x),u)) = T(x,a(y,z,x)). [hyper(8364,a,10236,a)]. 10238 T(T(x,y),T(a(z,u,x),w)) = T(T(x,a(z,u,x)),y). [para(10237(a,1),28(a,1,1)),flip(a)]. 10239 K(x,a(y,z,x)) * T(x,u) = T(T(x,a(y,z,x)),u). [hyper(8287,a,10238,a)]. 10240 T(x,T(y,a(z,u,x))) = T(x,y). [hyper(37,a,7825,a,b,10239,a)]. 10241 T(x,T(y,a(z,u,x))) = x * K(x,y). [hyper(285,a,5130,a(flip),b,10240,a),flip(a)]. 10242 K(x,T(y,a(z,u,x))) = K(x,y). [hyper(5207,a,10241,a)]. 10244 K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y). [para(10242(a,1),7682(a,1,2)),flip(a)]. 10245 K(x,a(y,z,x) / u) != w | K(x,u \ a(y,z,x)) = w. [para(10242(a,1),7708(a,1))]. 10246 T(a(x,y,z),K(z,u)) = a(x,y,z). [hyper(225,a,10244,a)]. 10248 a(x \ 1,x / y,y) = a(x \ 1,y \ x,y). [hyper(66,a,8983,a(flip),b,10246,a),flip(a)]. 10250 a(x \ 1,y \ x,y) / y = (1 / x) * (x / y). [hyper(123,a,10248,a(flip),b,3938,a)]. 10251 a((x * y) \ 1,(x * y) / x,x) = a((x * y) \ 1,y,x). [para(14(a,1),10248(a,2,2))]. 10252 (1 / (x * y)) * ((x * y) / x) = a((x * y) \ 1,y,x) / x. [para(14(a,1),10250(a,1,1,2)),flip(a)]. 10253 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(66,a,10184,a(flip),b,10176,a)]. 10254 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(66,a,497,a,b,10185,a)]. 10255 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(223(a,1),10185(a,1,1,1))]. 10256 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(10187(a,1),2232(a,1))]. 10257 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10080(a,2),10187(a,1,1))]. 10258 K(x,y) * (T(y,z) \ K(y,x)) = T(y,z) \ 1. [hyper(285,a,7404,a(flip),b,10154,a),flip(a)]. 10259 (1 / (x * y)) * (y * K(x,y)) = K(x,y) * ((1 / (x * y)) * y). [hyper(9166,a,10179,a),flip(a)]. 10260 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(37,a,10142,a,b,10192,a),flip(a)]. 10261 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1148(a,1),10260(a,1,2,2))]. 10262 1 / (((x / y) \ 1) \ K(z / (x \ y),(x / y) \ 1)) = T((x / y) \ 1,(x \ y) \ z). [hyper(66,a,5302,a(flip),b,10215,a)]. 10263 ((x / y) * T((x / y) \ 1,(x \ y) \ z)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(10215(a,1),7436(a,1,1,2))]. 10264 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(285,a,10171,a(flip),b,10225,a),flip(a)]. 10266 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(10137(a,1),10264(a,1,1,1)),flip(a)]. 10267 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10040(a,1),10186(a,2,1))]. 10268 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(5473,a,10206,a),flip(a)]. 10269 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(285,a,7884,a,b,10268,a),flip(a)]. 10270 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(10269(a,1),7920(a,1,1,1)),flip(a)]. 10271 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2606(a,1),10257(a,1,1,1,2)),flip(a)]. 10272 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(66,a,8290,a(flip),b,10077,a),flip(a)]. 10273 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(10272(a,1),5567(a,1,2,2))]. 10274 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(285,a,5525,a(flip),b,10270,a),flip(a)]. 10275 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(10211,a,10274,a)]. 10276 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9925(a,1),10253(a,1,2))]. 10277 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(66,a,7908,a,b,10162,a)]. 10278 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5320(a,1),10266(a,2,1))]. 10279 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(285,a,7860,a(flip),b,10278,a),flip(a)]. 10280 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(285,a,10116,a(flip),b,10279,a),flip(a)]. 10281 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(170(a,1),10099(a,1,2,1))]. 10282 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(285,a,5722,a(flip),b,8379,a),flip(a)]. 10283 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(117(a,1),10282(a,1,1,1))]. 10284 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8029,a(flip),b,8764,a)]. 10285 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8505,a(flip),b,10284,a)]. 10286 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(66,a,8765,a(flip),b,10285,a),flip(a)]. 10287 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(285,a,9439,a(flip),b,10286,a),flip(a)]. 10288 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5846(a,1),10287(a,1,1))]. 10289 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3193(a,1),10288(a,1,1))]. 10290 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(285,a,8744,a(flip),b,10289,a),flip(a)]. 10291 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8744,a(flip),b,10290,a)]. 10292 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8424,a,b,10291,a)]. 10293 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(170(a,1),10291(a,1,2)),flip(a)]. 10294 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8283(a,1),10293(a,1,2))]. 10295 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(66,a,6633,a(flip),b,10294,a)]. 10296 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(285,a,6626,a,b,10295,a),flip(a)]. 10297 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(15(a,1),10296(a,2,2))]. 10298 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4105(a,1),10297(a,1,2))]. 10299 K(T(T(x,y),z),(x * u) \ w) = K(T(T(x,y),z),u \ (x \ w)). [hyper(7544,a,9147,a),flip(a)]. 10301 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),z / (x * u)). [hyper(66,a,8003,a(flip),b,10299,a),flip(a)]. 10302 K(T(x,y),(x \ z) / u) = K(T(x,y),z / (x * u)). [hyper(66,a,8073,a(flip),b,10301,a)]. 10303 K(T(x / y,y),z / ((x / y) * u)) = K(y \ x,((x / y) \ z) / u). [para(118(a,1),10302(a,1,1)),flip(a)]. 10304 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((y / x) * u)). [para(118(a,1),10303(a,1,1)),flip(a)]. 10305 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((x \ y) * u)). [hyper(285,a,8705,a(flip),b,10304,a),flip(a)]. 10306 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9787(a,1),9256(a,1,2))]. 10307 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(66,a,9211,a(flip),b,10306,a),flip(a)]. 10308 K(((x \ 1) * (y \ 1)) \ 1,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(14(a,1),9267(a,1,1,1,1,1,1))]. 10309 K((x \ 1) \ y,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(6575(a,1),10308(a,1,1))]. 10310 K(x * y,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(6572(a,1),10309(a,1,1))]. 10311 R(1 / x,x,K(y * x,y)) = 1 / (y \ (y * x)). [hyper(395,a,10310,a)]. 10312 R(1 / x,x,K(y * x,y)) = 1 / x. [para(14(a,1),10311(a,2,2))]. 10313 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(10312(a,1),367(a,1,1))]. 10314 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5785(a,2),10313(a,1,2))]. 10315 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(5785(a,2),10314(a,2,2))]. 10316 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10315(a,2),215(a,1,2,2))]. 10317 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = T(1 / x,(1 / x) \ 1). [hyper(285,a,7566,a(flip),b,9271,a),flip(a)]. 10318 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = x \ 1. [hyper(285,a,597,a(flip),b,10317,a),flip(a)]. 10320 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(8961(a,1),9360(a,1,1,1,2)),flip(a)]. 10322 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [hyper(66,a,8105,a(flip),b,9767,a),flip(a)]. 10323 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5149(a,2),10322(a,1,2,1,1,1))]. 10324 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [hyper(66,a,9938,a(flip),b,10323,a)]. 10325 1 / (((x / y) \ 1) \ K(z / (x \ y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(5708(a,1),10262(a,1,2,2))]. 10326 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3359(a,1),8285(a,1,2,1)),flip(a)]. 10327 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3359(a,1),10326(a,1,2)),flip(a)]. 10329 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10327(a,1),593(a,1,1,1)),flip(a)]. 10331 K(T(T(x / (x / y),z),R(u,w,v5) * x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,8028,a(flip),b,8349,a)]. 10332 K(T(T(x / (x / y),z),x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,9511,a(flip),b,10331,a)]. 10334 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T((u / x) \ u,y),z). [hyper(66,a,7798,a(flip),b,10332,a),flip(a)]. 10335 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T(x,y),z). [para(90(a,1),10334(a,2,1,1))]. 10336 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(14(a,1),8818(a,1,2,1))]. 10338 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(23(a,2),10336(a,1,2))]. 10339 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(66,a,9387,a(flip),b,10338,a)]. 10340 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(285,a,9110,a(flip),b,10339,a),flip(a)]. 10343 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(15(a,1),10340(a,2,2,2))]. 10344 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(17(a,1),10340(a,1,1,2)),flip(a)]. 10345 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(66,a,7096,a(flip),b,10343,a),flip(a)]. 10346 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4250(a,1),10343(a,1,1,2))]. 10347 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(10343(a,1),6804(a,1,2))]. 10348 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10343(a,1),8165(a,1,1,2))]. 10349 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10343(a,1),8147(a,1,2,2))]. 10350 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(66,a,6738,a(flip),b,10345,a)]. 10352 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(96(a,1),10348(a,1,1)),flip(a)]. 10353 K(x / (y / L(z,u,w)),z) = K(x / (L(z,u,w) \ y),z). [para(6533(a,1),10348(a,1,1))]. 10354 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7402(a,1),10348(a,1,1)),flip(a)]. 10355 K((x * T(L(y,z,u),w)) / w,y) = K((x * L(y,z,u)) / w,y). [para(7445(a,1),10348(a,1,1)),flip(a)]. 10356 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7723(a,1),10348(a,1,1)),flip(a)]. 10357 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10356(a,1),8027(a,1,1,2)),flip(a)]. 10358 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(66,a,6740,a(flip),b,10349,a),flip(a)]. 10359 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10343(a,1),10349(a,1,2,2))]. 10360 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9631,a,10344,a),flip(a)]. 10361 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10344(a,1),8056(a,1,2,2))]. 10362 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10344(a,1),8138(a,1,2,1))]. 10363 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(96(a,1),10361(a,1,2))]. 10364 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5146(a,1),10362(a,1,2))]. 10365 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(66,a,8333,a(flip),b,10360,a)]. 10366 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(66,a,6846,a(flip),b,10360,a)]. 10367 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(34(a,2),10360(a,1,1))]. 10369 K(L(x,y,x) * z,x) = K(x * z,x). [hyper(285,a,8797,a(flip),b,10352,a),flip(a)]. 10370 K((L(x,y,z) \ x) \ u,x) = K((x \ u) * L(x,y,z),x). [hyper(66,a,9580,a,b,10352,a)]. 10371 K(x * (L(x,y,x) \ z),x) = K(z,x). [para(15(a,1),10369(a,1,1)),flip(a)]. 10372 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(10371(a,1),5150(a,1,1,2))]. 10373 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(10372(a,1),5240(a,1,1)),flip(a)]. 10374 T(x,L(x,y,x) * z) = T(x,x * z). [para(14(a,1),10373(a,1,2,2)),flip(a)]. 10376 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(285,a,5130,a(flip),b,10374,a),flip(a)]. 10379 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5207,a,10376,a)]. 10380 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(10379(a,1),9004(a,1,1))]. 10381 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(10363(a,1),9813(a,1,2))]. 10382 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(103(a,1),10381(a,1,2,2))]. 10383 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10364(a,1),9998(a,1,2))]. 10384 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [hyper(66,a,7881,a,b,10383,a)]. 10385 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10384,a),flip(a)]. 10386 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(103(a,1),10385(a,1,2,2))]. 10387 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(15(a,1),10382(a,1,2,2,2))]. 10388 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8740(a,1),10382(a,1,2))]. 10389 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(285,a,8244,a(flip),b,10388,a),flip(a)]. 10390 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(66,a,8244,a(flip),b,10388,a),flip(a)]. 10391 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(15(a,1),10389(a,1,2,2,2))]. 10392 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(66,a,8269,a,b,10390,a)]. 10393 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(15(a,1),10390(a,1,2,2))]. 10394 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(5191(a,1),10391(a,1,2,2)),flip(a)]. 10395 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(30(a,2),10354(a,1,1,2))]. 10397 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(113(a,1),10365(a,1,1)),flip(a)]. 10398 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10365(a,1),8743(a,1,1))]. 10399 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(285,a,8244,a(flip),b,10387,a),flip(a)]. 10400 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(66,a,8244,a(flip),b,10387,a),flip(a)]. 10401 K(x,T(x \ (y \ z),z)) = K(x,T(x \ (y \ z),y)). [para(15(a,1),10399(a,1,2,2))]. 10402 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10399(a,1),8500(a,1,1,1)),flip(a)]. 10403 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(17(a,1),10400(a,1,2,2)),flip(a)]. 10404 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(66,a,8568,a(flip),b,10403,a)]. 10405 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10395(a,1),6831(a,1,1,1,2))]. 10406 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6797(a,1),10347(a,1,2))]. 10407 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(285,a,8027,a(flip),b,10357,a),flip(a)]. 10408 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(341(a,1),10407(a,1,2,2,1,1))]. 10409 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(5234(a,1),10407(a,1,2,2))]. 10410 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(7708,a,10408,a),flip(a)]. 10411 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5545(a,1),10408(a,1,2,2))]. 10412 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6094(a,1),10408(a,1,2,2,1))]. 10415 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7997(a,1),10408(a,1,2,2))]. 10416 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8739(a,1),10415(a,1,2,2)),flip(a)]. 10417 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(66,a,9966,a(flip),b,10411,a),flip(a)]. 10418 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(112(a,1),10412(a,1,2,2))]. 10420 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(10146,a,10417,a)]. 10421 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [hyper(8434,a,10420,a),flip(a)]. 10422 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(15(a,1),10420(a,1,2,2,1)),flip(a)]. 10423 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(19(a,2),10420(a,1,2,2)),flip(a)]. 10424 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(5000(a,1),10420(a,1,2)),flip(a)]. 10425 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [para(14(a,1),10421(a,1,2,2)),flip(a)]. 10427 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(285,a,7968,a,b,10422,a)]. 10428 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(66,a,9337,a(flip),b,10422,a)]. 10429 K(x \ 1,T(y,z \ x)) = K(x \ 1,T(y,z)). [hyper(10098,a,10424,a)]. 10430 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [hyper(66,a,6628,a,b,10425,a)]. 10431 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(66,a,9545,a,b,10428,a)]. 10432 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [hyper(124,a,10428,a(flip),b,5125,a(flip)),flip(a)]. 10433 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(15(a,1),10428(a,1,2,2,2)),flip(a)]. 10434 K((x * y) \ 1,T(z,y)) = K((x * y) \ 1,T(z,x)). [para(14(a,1),10429(a,1,2,2))]. 10435 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(17(a,1),10430(a,1,2,2))]. 10436 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(15(a,1),10431(a,1,2,2,2))]. 10437 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(10083,a,10433,a),flip(a)]. 10438 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(66,a,10070,a(flip),b,10433,a),flip(a)]. 10440 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5146(a,1),10418(a,1,2,2,1)),flip(a)]. 10441 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8080(a,1),10418(a,1,2,2,1)),flip(a)]. 10442 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(285,a,5130,a,b,10432,a),flip(a)]. 10443 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(15(a,1),10442(a,1,2,2,2)),flip(a)]. 10444 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(115(a,1),10443(a,1,2)),flip(a)]. 10445 K((x * y) \ 1,T(T(z,x),y)) = K((x * y) \ 1,z). [hyper(285,a,7991,a(flip),b,10434,a),flip(a)]. 10446 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [hyper(285,a,8096,a(flip),b,10435,a),flip(a)]. 10447 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(285,a,10074,a,b,10436,a),flip(a)]. 10448 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(7708,a,10441,a),flip(a)]. 10450 K(((x \ 1) * y) \ 1,T(T(z,x),y)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,10095,a(flip),b,10445,a)]. 10451 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(10083,a,10447,a),flip(a)]. 10452 K(x \ y,T(z,(u * x) \ y)) = K(x \ y,T(z,T(u,x))). [para(27(a,2),10447(a,2,2,2))]. 10455 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(66,a,9376,a,b,10451,a)]. 10456 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(66,a,9320,a(flip),b,10455,a),flip(a)]. 10457 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(66,a,5734,a(flip),b,10406,a)]. 10458 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(10406(a,1),5252(a,1,1))]. 10459 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(10406(a,1),5217(a,1,2)),flip(a)]. 10461 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(10457(a,1),488(a,1,1))]. 10462 L(x,y,1 / (y * x)) \ 1 = T((1 / (y * x)) * y,x). [para(438(a,1),10458(a,1,1)),flip(a)]. 10464 1 / T((1 / (x * y)) * x,y) = L(y,x,1 / (x * y)). [hyper(185,a,10462,a)]. 10466 1 / T((1 / (x * y)) * x,y) != z | L(y,x,(x * y) \ 1) = z. [para(10464(a,2),3659(a,1))]. 10467 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(30(a,2),10358(a,1,2,1,1))]. 10468 K((x \ y) * L(x,z,z \ 1),x) = K(a(z \ 1,z,x) \ y,x). [para(3937(a,1),10370(a,1,1,1)),flip(a)]. 10469 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(66,a,8567,a(flip),b,10394,a),flip(a)]. 10470 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(17(a,1),10469(a,1,2,2)),flip(a)]. 10471 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5364,a,10398,a),flip(a)]. 10472 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10471(a,1),8761(a,2,2))]. 10473 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(285,a,9535,a(flip),b,10409,a),flip(a)]. 10475 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(16(a,1),10473(a,1,2,2)),flip(a)]. 10476 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(178(a,1),10473(a,1,2,2)),flip(a)]. 10477 K(T(x,y),T(z,u * L(x,w,v5))) = K(x,T(z * K(y,z),u)). [hyper(66,a,8030,a(flip),b,10475,a)]. 10478 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(66,a,10416,a(flip),b,10476,a)]. 10479 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(66,a,7696,a(flip),b,10478,a),flip(a)]. 10480 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(285,a,6628,a,b,10479,a),flip(a)]. 10481 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10480(a,1),9898(a,1,1)),flip(a)]. 10482 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(66,a,9978,a(flip),b,10410,a)]. 10483 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7708,a,10482,a),flip(a)]. 10485 K(x,y \ T(x,z)) = K(x,y \ x). [para(5190(a,2),10483(a,1,2,2))]. 10486 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(5146(a,1),10483(a,1,2,2)),flip(a)]. 10487 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5158(a,1),10483(a,1,2,2)),flip(a)]. 10488 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(5268(a,1),10483(a,1,2,2)),flip(a)]. 10489 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(5294(a,1),10483(a,1,2,2)),flip(a)]. 10490 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5516(a,1),10483(a,1,2,2)),flip(a)]. 10491 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6254(a,1),10483(a,1,2,2)),flip(a)]. 10492 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(7239(a,1),10483(a,1,2,2)),flip(a)]. 10493 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8080(a,1),10483(a,1,2,2)),flip(a)]. 10494 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10485(a,1),7917(a,1,1,2))]. 10495 K(x,(y * z) \ (x * y)) = K(x,z \ x). [hyper(6639,a,10486,a),flip(a)]. 10496 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10489(a,1),10260(a,1,2)),flip(a)]. 10497 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5818(a,1),10493(a,1,2,2))]. 10498 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6585(a,1),10493(a,1,2,2)),flip(a)]. 10499 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(66,a,9418,a,b,10490,a)]. 10500 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(285,a,10112,a(flip),b,10496,a),flip(a)]. 10501 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(10496(a,1),7893(a,1,1,1))]. 10502 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10500(a,1),7686(a,1,1))]. 10503 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(90(a,1),10497(a,1,2,2)),flip(a)]. 10505 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(66,a,7530,a(flip),b,10503,a),flip(a)]. 10506 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(285,a,9694,a(flip),b,10488,a),flip(a)]. 10507 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(442(a,1),10491(a,1,2))]. 10508 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(5101(a,1),10491(a,1,2,2,2))]. 10509 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(5312(a,1),10491(a,1,2,2,2))]. 10510 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(8035(a,1),10491(a,1,2,2,2))]. 10511 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(10510(a,1),7399(a,1,1,2)),flip(a)]. 10513 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(37,a,7968,a,b,10427,a)]. 10514 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(66,a,10120,a,b,10513,a)]. 10515 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(66,a,8313,a,b,10513,a)]. 10516 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(66,a,9559,a,b,10514,a)]. 10517 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(66,a,9633,a(flip),b,10515,a)]. 10518 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10517(a,1),10103(a,1,2)),flip(a)]. 10519 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(66,a,7884,a,b,10516,a)]. 10520 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(10098,a,10438,a)]. 10521 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w * x)). [hyper(66,a,10082,a(flip),b,10452,a),flip(a)]. 10522 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(66,a,7995,a(flip),b,10456,a),flip(a)]. 10523 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(122,a,10522,a(flip),b,5124,a(flip))]. 10524 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6423,a,10467,a)]. 10525 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1051(a,1),10524(a,1,2,2,1)),flip(a)]. 10526 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1052(a,1),10524(a,1,2,2,1))]. 10527 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(285,a,8520,a,b,10472,a)]. 10529 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(14(a,1),10520(a,1,2,2)),flip(a)]. 10530 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10529(a,1),8804(a,1,1))]. 10531 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(66,a,7991,a(flip),b,10397,a)]. 10532 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(589(a,1),10423(a,1,2,2))]. 10533 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(66,a,7777,a(flip),b,10532,a),flip(a)]. 10535 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(66,a,8038,a(flip),b,10533,a)]. 10536 T(x,T(y,a(x,z,u))) = x * K(x,y). [hyper(124,a,10533,a(flip),b,5125,a(flip)),flip(a)]. 10537 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(285,a,5130,a,b,10536,a),flip(a)]. 10538 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10537(a,1),8555(a,1,1,1))]. 10539 x * (a(1 / y,y,x) / x) = x * (1 / L(x,y,y \ 1)). [hyper(66,a,3830,a(flip),b,10459,a)]. 10541 x * (a(y \ 1,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(3935(a,1),10539(a,1,2,1))]. 10542 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (a(y \ 1,y,x) / x))) = K(x,z \ x). [para(10541(a,2),10495(a,1,2,2))]. 10543 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1584,a,10461,a)]. 10544 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(180,a,10543,a)]. 10545 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(136,a,10543,a)]. 10546 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(10544(a,1),6344(a,2,2,1))]. 10547 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(10544(a,1),6989(a,2,1,1))]. 10548 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),L(z,y,x)). [para(10545(a,1),4731(a,1,2,2))]. 10549 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6864(a,1),10547(a,1,1))]. 10550 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [hyper(185,a,10549,a)]. 10551 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10549(a,1),3894(a,2,1))]. 10552 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(9467(a,1),10550(a,2,1,1))]. 10553 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [hyper(647,a,10548,a),flip(a)]. 10554 K(L(x,y,z),a(z,y,x)) = a(z,y,x) / a(z,y,x). [para(10553(a,1),5123(a,2,2))]. 10555 K(L(x,y,z),a(z,y,x)) = 1. [hyper(285,a,85,a(flip),b,10554,a),flip(a)]. 10557 K(((x / y) * (y / z)) \ x,a(x / y,y / z,z)) = 1. [para(654(a,1),10555(a,1,1))]. 10558 K(T(x,y),T(z,u * L(x,w,v5))) = K(T(x,y),T(z,u)). [hyper(285,a,8030,a(flip),b,10477,a),flip(a)]. 10559 K(T(x,y),T(z,y)) = K(R(x,y,L(x,u,w)),z). [hyper(66,a,8109,a(flip),b,10558,a),flip(a)]. 10561 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,7990,a(flip),b,10559,a),flip(a)]. 10563 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(66,a,8011,a(flip),b,10561,a),flip(a)]. 10564 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(10561(a,1),5190(a,2,1)),flip(a)]. 10565 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(66,a,7990,a(flip),b,10563,a),flip(a)]. 10567 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(10565(a,1),5232(a,2,1,1))]. 10568 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(285,a,5232,a,b,10567,a),flip(a)]. 10569 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(285,a,32,a,b,10564,a),flip(a)]. 10570 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(285,a,7753,a(flip),b,10531,a)]. 10571 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(90(a,1),10570(a,1,1,1)),flip(a)]. 10572 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(16(a,1),10571(a,1,1,2)),flip(a)]. 10573 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(87(a,1),10571(a,1,1,2)),flip(a)]. 10575 K(a(x \ 1,x,y) \ z,y) = K(z,y). [hyper(66,a,8715,a(flip),b,10468,a),flip(a)]. 10577 K(x,a(y \ 1,y,x) \ z) = (x \ K(z,x)) \ (x \ 1). [para(10575(a,1),5649(a,1,1,2)),flip(a)]. 10578 K(x,a(y \ 1,y,x) \ z) = K(x,z). [hyper(285,a,5649,a(flip),b,10577,a),flip(a)]. 10579 K(x,a(y \ 1,y,x) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,10578,a),flip(a)]. 10580 K(x,y \ a(z \ 1,z,x)) = K(x,y \ 1). [hyper(10245,a,10579,a)]. 10581 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(38,a,10191,a,b,10494,a),flip(a)]. 10582 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10581,a)]. 10583 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(66,a,10178,a,b,10582,a)]. 10584 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(90(a,1),10583(a,1,2,2,1,2))]. 10585 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(66,a,7147,a(flip),b,10584,a)]. 10586 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(7895,a,10501,a),flip(a)]. 10587 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(10586(a,1),8773(a,1,2))]. 10588 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(285,a,7399,a(flip),b,10511,a),flip(a)]. 10589 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(96(a,1),10588(a,1,1,2,2))]. 10590 K((x * (y * z)) / u,T(z,x * (y * z))) = K(u \ (x * (z * y)),z). [hyper(8435,a,10589,a)]. 10591 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),10589(a,2,1))]. 10592 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(285,a,7872,a(flip),b,10518,a),flip(a)]. 10593 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(10113,a,10592,a)]. 10594 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(17(a,1),10593(a,1,2,2)),flip(a)]. 10595 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(10594(a,1),5178(a,1,2,1))]. 10596 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(66,a,9004,a(flip),b,10380,a),flip(a)]. 10597 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(7997(a,1),10402(a,2,1))]. 10598 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(10523(a,1),9692(a,1,1))]. 10599 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (x * (z * y)),z). [hyper(66,a,10382,a(flip),b,10590,a)]. 10600 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(66,a,6924,a(flip),b,10405,a),flip(a)]. 10602 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(7991(a,1),10530(a,1,1)),flip(a)]. 10603 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(66,a,9905,a,b,10602,a)]. 10605 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(619,a,10546,a)]. 10606 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(30(a,2),10605(a,1,1))]. 10607 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(128,a,10606,a)]. 10608 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1509(a,1),10607(a,1,1))]. 10609 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(66,a,10033,a(flip),b,10448,a)]. 10610 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(7708,a,10609,a),flip(a)]. 10612 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5439(a,1),10610(a,1,2,2,1)),flip(a)]. 10613 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(285,a,9059,a(flip),b,10591,a),flip(a)]. 10615 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5558,a,10598,a),flip(a)]. 10616 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(66,a,10506,a,b,10615,a)]. 10617 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(285,a,10596,a(flip),b,10366,a),flip(a)]. 10619 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(285,a,6845,a(flip),b,10617,a),flip(a)]. 10620 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(66,a,7738,a(flip),b,10538,a)]. 10621 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(9082,a,10346,a)]. 10623 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (x \ a(y \ 1,y,x)))) = K(x,z \ x). [hyper(66,a,10498,a(flip),b,10542,a)]. 10624 K(x,((1 / L(x,y,y \ 1)) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(15(a,1),10623(a,1,2,2))]. 10625 K(x,((L(x,y,y \ 1) \ 1) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [hyper(66,a,7160,a(flip),b,10624,a)]. 10627 K(x,((L(x,y,y \ 1) \ 1) * z) \ 1) = K(x,z \ x). [hyper(66,a,10580,a(flip),b,10625,a)]. 10629 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5473,a,10595,a),flip(a)]. 10630 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(285,a,10169,a(flip),b,10629,a),flip(a)]. 10631 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(66,a,10169,a(flip),b,10630,a)]. 10632 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9822(a,1),10631(a,1,2))]. 10633 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(66,a,10276,a(flip),b,10632,a),flip(a)]. 10634 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(66,a,10176,a(flip),b,10633,a),flip(a)]. 10635 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(66,a,7881,a,b,10634,a)]. 10636 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(66,a,9750,a(flip),b,10635,a)]. 10637 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(285,a,8904,a(flip),b,10636,a),flip(a)]. 10639 K(x,K(y,a(z,x,u))) = 1. [para(208(a,1),10637(a,1,2,2,3))]. 10641 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10639(a,1),7862(a,1,2)),flip(a)]. 10642 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(285,a,13,a(flip),b,10641,a),flip(a)]. 10643 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8227,a,10642,a)]. 10644 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [hyper(124,a,10643,a(flip),b,27,a(flip)),flip(a)]. 10646 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(9540(a,1),10608(a,1,2,2))]. 10647 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5591,a,10646,a)]. 10649 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(66,a,9199,a(flip),b,10507,a),flip(a)]. 10651 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(66,a,8612,a(flip),b,10649,a),flip(a)]. 10653 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(23(a,2),10651(a,2,2))]. 10654 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5360(a,1),10653(a,1,2,2)),flip(a)]. 10655 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10654(a,1),5633(a,1,2,2)),flip(a)]. 10656 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(285,a,5633,a(flip),b,10655,a),flip(a)]. 10657 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5143(a,1),10656(a,1,1,2)),flip(a)]. 10658 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(66,a,10621,a(flip),b,10657,a)]. 10661 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(38,a,6177,a(flip),b,10551,a),flip(a)]. 10662 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(66,a,7261,a,b,10661,a)]. 10663 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1080(a,1),10662(a,1,2))]. 10664 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(136,a,10663,a)]. 10665 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(10663(a,1),5254(a,2,1)),flip(a)]. 10666 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(10664(a,1),6938(a,1,2,2,1)),flip(a)]. 10667 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(285,a,7908,a,b,10665,a),flip(a)]. 10668 L(K(x,y) * K(x,K(y,z * u)),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(10386(a,1),9010(a,1,1,2))]. 10669 (x * (y * T(z,u))) / (x * (y * z)) = L(K(z,T(u,x * y)),y * z,x). [para(7968(a,1),10668(a,1,1)),flip(a)]. 10670 (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). [hyper(285,a,6653,a(flip),b,10669,a),flip(a)]. 10671 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(285,a,16,a(flip),b,9180,a),flip(a)]. 10673 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(9170(a,1),10671(a,1,3))]. 10674 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(285,a,10152,a(flip),b,9440,a),flip(a)]. 10675 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(285,a,10292,a(flip),b,10674,a),flip(a)]. 10676 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(208(a,1),10675(a,2,2,2))]. 10677 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(66,a,10428,a(flip),b,10676,a)]. 10678 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(14(a,1),10677(a,1,2,2))]. 10679 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(66,a,8414,a(flip),b,10678,a)]. 10683 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(285,a,8419,a(flip),b,10679,a),flip(a)]. 10684 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(17(a,1),10683(a,1,2,2,1)),flip(a)]. 10685 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [hyper(124,a,10684,a(flip),b,5125,a(flip)),flip(a)]. 10686 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(285,a,5130,a,b,10685,a),flip(a)]. 10687 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(285,a,9470,a(flip),b,9471,a),flip(a)]. 10688 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(285,a,6468,a(flip),b,10687,a),flip(a)]. 10689 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(66,a,9659,a(flip),b,10688,a),flip(a)]. 10691 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1245(a,1),10689(a,1,1))]. 10692 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(285,a,9495,a(flip),b,9493,a),flip(a)]. 10693 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(285,a,6592,a(flip),b,10692,a),flip(a)]. 10694 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(66,a,9664,a(flip),b,10693,a),flip(a)]. 10696 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(8426,a,9573,a),flip(a)]. 10697 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(66,a,5918,a(flip),b,9625,a),flip(a)]. 10698 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(78(a,1),10697(a,2,1))]. 10699 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(285,a,4600,a(flip),b,9682,a),flip(a)]. 10700 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(604(a,1),10699(a,1,2))]. 10701 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6555,a,10700,a),flip(a)]. 10702 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(116(a,1),9685(a,2,2))]. 10703 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(285,a,9905,a,b,10702,a),flip(a)]. 10704 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(9684(a,1),10703(a,1,3)),flip(a)]. 10705 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(66,a,10603,a(flip),b,10704,a),flip(a)]. 10707 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(10705(a,1),32(a,2,1))]. 10708 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(5336(a,1),10705(a,1,1))]. 10709 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(10705(a,1),5808(a,1,1))]. 10710 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(285,a,30,a,b,10707,a),flip(a)]. 10711 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(5336(a,1),10708(a,2,1))]. 10712 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [hyper(66,a,8790,a(flip),b,10711,a)]. 10713 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(66,a,25,a(flip),b,10711,a)]. 10714 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10710(a,2,1))]. 10715 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [hyper(66,a,9615,a(flip),b,10712,a)]. 10716 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10714(a,1,1))]. 10717 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [hyper(66,a,7526,a(flip),b,10715,a),flip(a)]. 10718 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10713(a,1),479(a,1))]. 10719 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(9681(a,1),10713(a,1,1))]. 10720 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(116(a,1),10719(a,1,2))]. 10721 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(66,a,9905,a,b,10720,a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(116(a,1),10014(a,1,2))]. 10723 K(((x / y) * (z * y)) \ (x * (z * y)),z) = L(K(y,z),T(x,z * y),z * y). [hyper(66,a,9916,a,b,10722,a)]. 10724 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(10079(a,1),10255(a,1,1)),flip(a)]. 10725 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5316(a,1),10724(a,2,2))]. 10726 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10036(a,1),10267(a,1,2,1))]. 10727 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5545(a,1),10726(a,1,2))]. 10729 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7801(a,1),10273(a,1,1))]. 10730 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10314(a,1),10316(a,1,2,2))]. 10731 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9543(a,1),10730(a,1,2,2))]. 10732 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(116(a,1),10731(a,1,2)),flip(a)]. 10733 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(285,a,9817,a(flip),b,10696,a),flip(a)]. 10735 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(285,a,8013,a(flip),b,10733,a),flip(a)]. 10736 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6775(a,1,1,2))]. 10737 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(285,a,626,a(flip),b,10736,a),flip(a)]. 10739 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(136,a,10737,a)]. 10740 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(39,a,5448,a,b,10737,a)]. 10742 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(116(a,1),10739(a,1,2)),flip(a)]. 10743 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10739(a,1),5453(a,1,2)),flip(b)]. 10744 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7884(a,2),10739(a,1,1))]. 10745 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5360(a,1),10740(a,1,2,2)),flip(a)]. 10746 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(66,a,7945,a,b,10745,a)]. 10747 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6651(a,1),10745(a,1,2,1)),flip(a)]. 10748 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7941(a,1),10745(a,2,2))]. 10750 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(224,a,9194,a,b,10742,a)]. 10751 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6270,a,10750,a),flip(a)]. 10753 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(10750(a,2),263(a,1))]. 10754 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(7884(a,1),10750(a,2,1))]. 10756 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7884(a,2),10744(a,2,2,1))]. 10757 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8232(a,1),10746(a,1,1))]. 10758 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(66,a,9408,a(flip),b,10748,a)]. 10759 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6270,a,10758,a),flip(a)]. 10760 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(285,a,8533,a(flip),b,10759,a),flip(a)]. 10761 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(10759(a,2),7399(a,1,1))]. 10763 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(10760(a,1),4144(a,1,1)),flip(a)]. 10764 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(285,a,8915,a(flip),b,10761,a),flip(a)]. 10765 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(7884(a,1),10754(a,1,1,1))]. 10766 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(303,a,10756,a),flip(a)]. 10767 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7884(a,2),10766(a,1,2,1))]. 10768 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6651(a,1),10747(a,1,1))]. 10769 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(268(a,1),6799(a,1,2)),flip(a)]. 10770 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(285,a,6468,a(flip),b,10769,a),flip(a)]. 10771 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(268(a,1),10770(a,1,2))]. 10772 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(285,a,6871,a(flip),b,10771,a),flip(a)]. 10773 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(10772(a,1),6019(a,2,2)),flip(a)]. 10774 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(78(a,1),10773(a,1,2,1))]. 10775 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(37,a,3896,a(flip),b,10774,a),flip(a)]. 10776 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(37,a,2756,a(flip),b,10774,a),flip(a)]. 10777 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(123,a,10774,a(flip),b,6241,a)]. 10778 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(10774(a,1),785(a,2,1,1))]. 10779 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(15(a,1),10775(a,1,1))]. 10780 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(10779(a,1),5344(a,1,2)),flip(a)]. 10781 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(285,a,5344,a(flip),b,10780,a),flip(a)]. 10782 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(14(a,1),10781(a,1,1,1)),flip(a)]. 10783 K(x \ ((y / x) \ 1),y) = K(y \ 1,y). [para(90(a,1),10781(a,1,1,1))]. 10784 K((x * y) \ 1,1 \ (x * y)) = K(y \ (x \ 1),x * y). [para(78(a,2),10782(a,1,2))]. 10785 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(90(a,1),10776(a,1,2,2))]. 10786 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(10785(a,2),2622(a,1,2))]. 10787 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(7158(a,1),10786(a,1,2))]. 10788 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(6702(a,1),10787(a,1,2))]. 10789 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(87(a,1),10788(a,1,2,1,1)),flip(a)]. 10791 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(285,a,10774,a(flip),b,10789,a),flip(a)]. 10792 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(10791(a,1),3614(a,1,1))]. 10793 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(38,a,6884,a,b,10792,a)]. 10794 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(10793(a,1),6240(a,1,1))]. 10795 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5119(a,2),6823(a,1,2,1,2)),flip(a)]. 10796 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6958(a,1,2))]. 10797 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(285,a,5798,a(flip),b,10796,a),flip(a)]. 10798 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(9081(a,1),10797(a,1,1,1,1))]. 10799 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7045(a,1),10798(a,1,1))]. 10801 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9221(a,1),10799(a,1,1))]. 10802 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),7426(a,1,2,2))]. 10803 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(8781,a,8784,a),flip(a)]. 10804 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(87(a,1),10803(a,1,2,1,2,1)),flip(a)]. 10805 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(285,a,8780,a(flip),b,8925,a),flip(a)]. 10806 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8357(a,1),10805(a,1,2,1,2,1))]. 10807 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(z,u) \ 1)). [para(9312(a,2),9321(a,2,2,1,1))]. 10808 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6086(a,1),9413(a,1,1,2))]. 10809 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(285,a,9943,a(flip),b,9553,a),flip(a)]. 10811 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,6392,a(flip),b,10809,a),flip(a)]. 10812 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6385(a,1),10811(a,1,2,2))]. 10813 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [hyper(285,a,10324,a(flip),b,10446,a),flip(a)]. 10814 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [hyper(285,a,6632,a(flip),b,10813,a),flip(a)]. 10815 T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7587(a,1),10802(a,1,2))]. 10816 T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). [hyper(66,a,10181,a(flip),b,10815,a)]. 10818 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(66,a,10275,a(flip),b,10816,a),flip(a)]. 10819 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(u,z))). [para(5320(a,1),10807(a,2,2,2))]. 10820 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(y * K(z,u),T(u,z)) \ 1). [hyper(285,a,8412,a(flip),b,10819,a),flip(a)]. 10821 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(T(u,z) \ (y * u)) \ 1). [para(7457(a,1),10820(a,2,2,1))]. 10822 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(y * u) \ T(u,z)). [hyper(285,a,6392,a(flip),b,10821,a),flip(a)]. 10823 T(K(x,T(K(y,z) / u,T(u,y))),y) = K(x,(u * y) \ T(y,z)). [hyper(66,a,9780,a(flip),b,10822,a)]. 10824 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8302(a,1),10808(a,1,2))]. 10825 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7881(a,1),10824(a,1,2))]. 10827 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10825(a,1),8275(a,1,2,2))]. 10828 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(66,a,8300,a(flip),b,10827,a),flip(a)]. 10830 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(285,a,8460,a(flip),b,10828,a),flip(a)]. 10832 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(8888(a,1),6667(a,1,1))]. 10833 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(15(a,1),10832(a,1,2,2)),flip(a)]. 10835 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(5190(a,2),10833(a,2,2))]. 10836 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(285,a,5101,a(flip),b,10835,a),flip(a)]. 10837 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,10836,a),flip(a)]. 10838 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(10836(a,2),4935(a,1))]. 10839 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10837(a,1,1,3))]. 10840 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(285,a,8027,a(flip),b,6847,a),flip(a)]. 10841 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(6181(a,1),10840(a,1,1))]. 10842 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(66,a,8027,a(flip),b,10841,a),flip(a)]. 10843 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(66,a,9962,a(flip),b,10842,a),flip(a)]. 10845 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(66,a,8046,a,b,10843,a)]. 10846 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(66,a,10616,a(flip),b,10845,a)]. 10847 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(66,a,626,a(flip),b,10846,a)]. 10849 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(66,a,9227,a(flip),b,10847,a)]. 10850 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(66,a,10486,a,b,10849,a)]. 10851 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(90(a,1),10850(a,1,2,2,1)),flip(a)]. 10852 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(10851(a,1),7986(a,1,1))]. 10854 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(66,a,7998,a(flip),b,10852,a)]. 10855 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(10852(a,1),9644(a,1))]. 10856 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(66,a,9589,a(flip),b,10854,a)]. 10857 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,9481,a(flip),b,10854,a),flip(a)]. 10858 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(66,a,9391,a,b,10856,a)]. 10859 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(60,a,10856,a)]. 10860 K(x,((x * y) / z) \ x) = K(x,z / y). [para(14(a,1),10856(a,1,2,2)),flip(a)]. 10861 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10856(a,1),6101(a,1,1))]. 10862 K(x,((y * x) / z) \ x) = K(x,z / y). [hyper(66,a,7595,a,b,10860,a)]. 10863 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(87(a,1),10860(a,1,2,1)),flip(a)]. 10864 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(4179(a,1),10860(a,1,2,1))]. 10865 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(7653(a,1),10860(a,1,2,1))]. 10866 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(658(a,1),10863(a,1,2,1,2))]. 10867 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10858(a,2),7682(a,2,1)),flip(a)]. 10868 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5760,a,10859,a)]. 10869 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(66,a,9602,a,b,10868,a)]. 10870 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5046(a,1),10857(a,1,2,1))]. 10871 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,6640,a(flip),b,10870,a)]. 10872 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1245(a,1),10871(a,1,2)),flip(a)]. 10873 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(66,a,10535,a(flip),b,10866,a)]. 10874 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(9392,a,10867,a)]. 10875 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [hyper(124,a,10874,a(flip),b,5125,a(flip))]. 10876 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5180,a,10875,a),flip(a)]. 10877 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10875(a,1),5180(a,1))]. 10878 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(66,a,9273,a(flip),b,10876,a),flip(a)]. 10879 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(87(a,1),10878(a,1,2,1,1)),flip(a)]. 10880 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(66,a,6640,a(flip),b,10865,a)]. 10881 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(9141,a,10880,a)]. 10882 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(27(a,2),10881(a,1,2,2))]. 10883 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(66,a,8143,a(flip),b,10882,a),flip(a)]. 10884 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(66,a,10864,a,b,10883,a)]. 10885 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(118(a,1),10884(a,2,2,2))]. 10886 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(66,a,6640,a(flip),b,10885,a)]. 10887 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(66,a,10850,a(flip),b,10886,a)]. 10888 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,10887,a),flip(a)]. 10889 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6126(a,1),10888(a,1,2))]. 10890 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(66,a,8794,a(flip),b,10889,a),flip(a)]. 10891 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6848(a,1,2))]. 10892 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(285,a,9008,a(flip),b,7388,a),flip(a)]. 10894 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5289(a,1),10892(a,2,2,2))]. 10895 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(187(a,1),10894(a,2,2))]. 10897 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(285,a,13,a(flip),b,10895,a),flip(a)]. 10899 R(x,K(y,z),R(z,u,w)) = x. [para(7383(a,1),10897(a,1,3))]. 10900 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10899,a)]. 10902 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(9344(a,2),10900(a,1,2))]. 10903 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(285,a,16,a(flip),b,7389,a),flip(a)]. 10905 R(x,K(y,z),L(z,u,w)) = x. [para(7384(a,1),10903(a,1,3))]. 10906 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10905,a)]. 10909 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7776(a,1),10905(a,1,2))]. 10910 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(66,a,7425,a(flip),b,10909,a)]. 10911 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(66,a,3247,a(flip),b,10906,a),flip(a)]. 10912 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9217(a,1),10910(a,1,2)),flip(a)]. 10913 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(10912(a,1),10320(a,2,1))]. 10914 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(285,a,9203,a(flip),b,10913,a),flip(a)]. 10916 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8961(a,1),10914(a,1,2,1))]. 10918 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7884(a,1),9367(a,1,1,2))]. 10919 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K(u \ (L(y,z,x) * (x * z)),y). [hyper(285,a,9815,a(flip),b,9496,a),flip(a)]. 10920 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (L(z,y,x) * (x * y)),z). [hyper(66,a,9721,a(flip),b,10919,a)]. 10921 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (y * z)),y). [hyper(66,a,10599,a(flip),b,10920,a),flip(a)]. 10923 K((K(x,L(y,z,u) / w) * L(y,z,u)) / w,y) = K((x * (1 / (w / L(y,z,u)))) / x,y). [para(5708(a,1),9563(a,1,1,1,1))]. 10924 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5770,a,10727,a)]. 10925 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6182(a,1),10778(a,1,1,2))]. 10927 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(10774(a,1),10925(a,1,1))]. 10928 (x \ (((x * y) \ 1) \ 1)) / z != ((x \ (((x * y) \ 1) \ 1)) / y) * u | u \ y = z. [para(10927(a,1),48(a,1)),flip(a)]. 10929 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(10777(a,1),10927(a,2,1))]. 10930 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(66,a,10794,a(flip),b,10929,a),flip(a)]. 10931 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,6241,a(flip),b,10930,a)]. 10932 (((x * y) \ 1) \ 1) * K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,6068,a(flip),b,10930,a)]. 10933 (x * y) * ((y * x) * (1 / (x * y))) = ((y * x) \ 1) \ 1. [hyper(66,a,5880,a,b,10932,a)]. 10935 T(x * y,(y * x) \ 1) = ((x * y) \ 1) \ 1. [hyper(66,a,5885,a(flip),b,10933,a)]. 10936 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,5876,a(flip),b,10935,a)]. 10937 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(89(a,1),10891(a,2,1))]. 10938 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(5254(a,2),10937(a,2,2,2))]. 10939 K(L(x,x \ 1,y),z) = K(x,z). [hyper(344,a,10938,a),flip(a)]. 10940 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(66,a,8009,a(flip),b,10939,a),flip(a)]. 10941 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(66,a,7990,a(flip),b,10940,a),flip(a)]. 10942 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(10940(a,2),9140(a,1))]. 10944 L(K(x,y),K(z,x),u) = K(x,y). [hyper(66,a,8733,a(flip),b,10941,a)]. 10946 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(124,a,10944,a(flip),b,23,a(flip))]. 10947 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(10944(a,1),34(a,1,1)),flip(a)]. 10948 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(10944(a,1),410(a,1,2,1))]. 10949 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10944(a,1),411(a,1,2,1))]. 10952 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(32(a,2),10942(a,1,2))]. 10953 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(118(a,1),10942(a,1,1))]. 10954 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(118(a,1),10942(a,1,2))]. 10955 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(208(a,1),10942(a,1,1))]. 10956 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(197(a,1),10942(a,1,1))]. 10958 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(5617(a,1),10942(a,1,1))]. 10959 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7697(a,1),10942(a,1))]. 10960 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7761(a,1),10942(a,1))]. 10961 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(10940(a,1),10942(a,1))]. 10962 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(118(a,1),10960(a,1,2,1))]. 10963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7694(a,1),10960(a,1))]. 10964 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7994(a,1),10960(a,1))]. 10965 K((x \ 1) * y,T(T(z,y),x)) != u | K((x \ 1) * y,z) = u. [para(8353(a,1),10960(a,1))]. 10966 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(169(a,1),10953(a,1,2))]. 10967 K((x \ y) \ 1,T(z,y)) != u | K(x / y,z) = u. [para(6468(a,2),10953(a,1))]. 10968 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(7681(a,1),10953(a,1))]. 10970 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8270(a,2),10953(a,1))]. 10974 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(197(a,1),10959(a,1,1))]. 10975 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7761(a,1),10959(a,1))]. 10978 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(19(a,2),10962(a,1,2,1))]. 10982 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7695(a,1),10963(a,1))]. 10983 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9402(a,1),10963(a,1))]. 10988 K((L(x,y,z) * u) / w,T(x,u)) != v5 | K(w \ (L(x,y,z) * u),x) = v5. [para(9813(a,1),10964(a,1))]. 10989 K(x \ (y * (z * u)),z) != w | K(x \ (y * (u * z)),z) = w. [para(10590(a,1),10964(a,1))]. 10990 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(8067(a,1),10968(a,1))]. 10991 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8907(a,2),10975(a,1))]. 10994 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(5828(a,2),10990(a,1))]. 10996 K(x \ (x * y),z) != u | K(y,z) = u. [para(342(a,1),10961(a,1,1))]. 10997 K((x / y) \ x,z) != u | K(y,z) = u. [para(17(a,1),10996(a,1,1,2))]. 11000 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8013(a,1),10996(a,1))]. 11001 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(7994(a,1),10997(a,1))]. 11003 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5149(a,1),11000(a,1,1))]. 11008 K(x,T(y,z / x)) != u | K(x,T(y,z)) = u. [para(8017(a,1),11001(a,1))]. 11009 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(6516(a,2),11003(a,1))]. 11011 K((x \ y) * K(z,y / x),u) != w | K(x \ y,T(u,T(z,x))) = w. [para(8014(a,1),11003(a,1,1,2))]. 11018 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8413(a,1),11008(a,1))]. 11019 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(10074(a,1),11018(a,1))]. 11020 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8246(a,2),11019(a,1))]. 11021 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(10086(a,1),11019(a,1))]. 11024 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(10947(a,1),7413(a,1,2)),flip(a)]. 11025 K(((x / y) * x) \ (y * (x / y)),z) != u | K(y / x,z) = u. [para(7813(a,2),10967(a,1))]. 11026 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7409,a,10946,a)]. 11027 R(x,K(y,z),K(z,u)) = x. [hyper(475,a,10946,a)]. 11030 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2229(a,2),10946(a,2,2))]. 11031 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(285,a,7396,a(flip),b,11027,a),flip(a)]. 11033 R(x,T(K(y,z),u),K(z,w)) = x. [para(1403(a,1),11027(a,1,2))]. 11034 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(11027(a,1),2528(a,1,1,1))]. 11037 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5949(a,1),11027(a,1,3))]. 11038 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5981(a,1),11027(a,1,2))]. 11039 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6094(a,1),11027(a,1,3))]. 11040 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6010(a,1),11033(a,1,3))]. 11041 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(11037(a,1),54(a,2))]. 11042 R(x,K(y,z),L(R(K(z,u),w,v5),v6,v7)) = x. [para(6094(a,1),11037(a,1,3,1))]. 11043 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(11038(a,1),463(a,1,1))]. 11044 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(11038(a,1),498(a,1,1))]. 11045 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(11039(a,1),54(a,2))]. 11046 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(11040(a,1),847(a,1,1)),flip(a)]. 11047 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(11040(a,1),7373(a,1)),flip(a)]. 11049 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5697(a,1),11031(a,1,1))]. 11050 L(K(x,y),K(z,y),u) = K(x,y). [hyper(7562,a,11026,a)]. 11051 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2229(a,2),11026(a,1,1,2))]. 11052 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [hyper(124,a,11050,a(flip),b,23,a(flip))]. 11053 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(11050(a,1),7413(a,1,2)),flip(a)]. 11054 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(224,a,11030,a,b,582,a)]. 11055 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(66,a,10757,a(flip),b,11030,a)]. 11056 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(7392(a,1),11030(a,1,1)),flip(a)]. 11057 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7403(a,1),11030(a,1,1)),flip(a)]. 11058 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(38,a,11026,a,b,11051,a(flip))]. 11061 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(11051(a,1),7422(a,1,1))]. 11062 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7347(a,1),11053(a,1,2))]. 11063 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(128,a,11056,a)]. 11064 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(390,a,11058,a)]. 11066 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(11058(a,1),294(a,1,1)),flip(b)]. 11067 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(66,a,11052,a,b,11062,a)]. 11068 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7682(a,1),11063(a,1,1))]. 11069 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(7409,a,11067,a),flip(a)]. 11070 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(38,a,11051,a,b,11067,a),flip(a)]. 11071 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(11067(a,1),7417(a,1,1)),flip(a)]. 11072 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(123,a,11069,a(flip),b,7432,a)]. 11073 R(x,K(y,z),K(u,y)) = x. [hyper(475,a,11070,a)]. 11074 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3018(a,1),11070(a,1,1))]. 11080 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9017(a,2),10952(a,1))]. 11081 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(7014(a,1),11080(a,1))]. 11083 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8045(a,1),10983(a,1))]. 11084 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9724(a,1),10983(a,1))]. 11085 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7761(a,1),11068(a,2,2))]. 11086 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7380,a,11071,a)]. 11087 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(66,a,6348,a(flip),b,11072,a)]. 11088 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7682(a,1),11085(a,1,2))]. 11089 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(285,a,7385,a(flip),b,11086,a),flip(a)]. 11090 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(7408(a,1),11087(a,1,1)),flip(a)]. 11091 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(66,a,7809,a(flip),b,11090,a)]. 11092 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(285,a,11057,a,b,11091,a)]. 11093 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3193(a,2),11089(a,2,2))]. 11094 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5670(a,1),11092(a,2,2))]. 11095 K(x \ (L(y,z,u) * (u * z)),y) != w | K(x \ (u * (z * y)),y) = w. [para(10921(a,2),10989(a,1))]. 11096 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5149(a,2),11009(a,1,2,1))]. 11098 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(11069(a,2),11061(a,1))]. 11099 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2233(a,2),10948(a,2,2))]. 11100 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(7392(a,1),10948(a,1,1)),flip(a)]. 11101 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(123,a,7532,a(flip),b,11024,a)]. 11102 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(7557(a,1),11043(a,1,1))]. 11103 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(285,a,2238,a(flip),b,11102,a),flip(a)]. 11104 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(838(a,1),10994(a,1,1,2))]. 11105 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7416,a,11044,a)]. 11106 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(285,a,2238,a(flip),b,11105,a),flip(a)]. 11107 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7392(a,1),11106(a,1,2)),flip(a)]. 11108 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7587(a,1),11107(a,1,2))]. 11109 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5662,a,11108,a)]. 11110 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5452,a,11108,a)]. 11111 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2241,a,11108,a)]. 11112 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(653,a,11108,a)]. 11113 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [hyper(66,a,9753,a,b,11108,a)]. 11114 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(66,a,6128,a,b,11108,a)]. 11115 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(124,a,11108,a(flip),b,6128,a)]. 11116 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(124,a,11108,a(flip),b,5514,a),flip(a)]. 11117 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5946(a,1),11108(a,1,2))]. 11118 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6653(a,1),11108(a,1,2))]. 11119 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(11108(a,1),6949(a,1,1)),flip(a)]. 11121 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(11110(a,1),5453(a,1,2)),flip(b)]. 11123 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(11110(a,1),8300(a,1,2,2,2)),flip(a)]. 11124 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(66,a,11044,a,b,11111,a)]. 11126 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6648(a,1),11111(a,1,1))]. 11127 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6814(a,1),11115(a,1,1))]. 11128 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(66,a,6881,a,b,11116,a)]. 11129 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(11118(a,1),5098(a,2,2))]. 11130 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(8734(a,1),11126(a,1,1)),flip(a)]. 11131 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(11128(a,1),6311(a,2,2))]. 11133 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6653(a,1),11121(a,1,2))]. 11134 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(66,a,10768,a,b,11119,a)]. 11135 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6127(a,1),11119(a,1,2)),flip(a)]. 11136 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(122,a,5360,a(flip),b,11135,a),flip(a)]. 11137 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(66,a,11134,a(flip),b,11136,a),flip(a)]. 11138 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11137(a,1),138(a,1))]. 11139 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(11112(a,1),7590(a,1,1))]. 11140 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(285,a,5389,a,b,11124,a)]. 11141 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5981(a,1),11117(a,1,1))]. 11142 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(285,a,11111,a(flip),b,11130,a),flip(a)]. 11144 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(7432(a,1),11142(a,1,2))]. 11146 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(7392(a,1),11144(a,1,2)),flip(a)]. 11147 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(7888(a,1),11146(a,1,2))]. 11148 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(66,a,7946,a(flip),b,11147,a)]. 11150 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(11138,a,11139,a)]. 11151 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(285,a,8274,a(flip),b,11123,a),flip(a)]. 11153 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4072,a,11064,a),flip(a)]. 11154 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(9873(a,1),11046(a,1,2)),flip(a)]. 11156 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(9400(a,1),11113(a,1,2))]. 11157 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(66,a,7849,a(flip),b,11129,a)]. 11158 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(30(a,2),11157(a,1,2,2))]. 11159 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(115(a,1),11158(a,1,2,2,1))]. 11161 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(8180(a,1),11131(a,1,1,2))]. 11163 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7954(a,1),10918(a,1,1,2))]. 11164 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5785(a,1),11163(a,1,1,2,2))]. 11165 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7908(a,1),11164(a,1,1,2))]. 11166 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7879(a,1),11165(a,1,1,2)),flip(a)]. 11167 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4495(a,1),11166(a,1,1,2)),flip(a)]. 11168 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8239(a,1),11167(a,1,1)),flip(a)]. 11169 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(11104,a,11168,a),flip(a)]. 11170 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7761(a,1),10924(a,1,1))]. 11171 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5955(a,1),11141(a,1,2))]. 11172 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5981(a,1),11171(a,2,3))]. 11173 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(285,a,7396,a(flip),b,5356,a),flip(a)]. 11174 ((K(x,y) * R(K(y,z),u,w)) \ (v5 * (K(x,y) * R(K(y,z),u,w)))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)) = K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))). [para(10947(a,1),5916(a,1,1,1,2))]. 11175 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6353(a,1),6369(a,1,1,2,1,1)),flip(a)]. 11176 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(14(a,1),11175(a,2,1,2,1))]. 11177 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6353(a,1),11176(a,1,1)),flip(a)]. 11178 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(6756,a,11177,a),flip(a)]. 11179 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * (R(x,y,x) * K(x,u)). [hyper(66,a,9539,a(flip),b,11177,a)]. 11180 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * R(T(x,u),y,x). [para(9085(a,1),11179(a,2,2))]. 11181 T((x / y) * K((L(y,z,u) \ 1) \ (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(8200(a,1),6624(a,1,1,2))]. 11182 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5367(a,1),6771(a,1,1,1))]. 11183 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(32(a,2),11182(a,1,1))]. 11184 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4113(a,1),11183(a,1,2)),flip(a)]. 11185 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(308,a,11184,a),flip(a)]. 11186 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(285,a,7625,a(flip),b,11185,a),flip(a)]. 11187 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(66,a,9926,a,b,11186,a)]. 11188 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(11187(a,1),8589(a,1,1,1)),flip(a)]. 11189 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(285,a,8270,a(flip),b,11188,a),flip(a)]. 11190 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(285,a,8832,a(flip),b,11189,a),flip(a)]. 11191 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9461,a(flip),b,11190,a)]. 11193 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9427,a(flip),b,11191,a)]. 11194 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(10970,a,11193,a),flip(a)]. 11196 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(285,a,9603,a(flip),b,11194,a),flip(a)]. 11197 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(66,a,9666,a,b,11196,a)]. 11199 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(9140,a,7037,a),flip(a)]. 11201 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(285,a,9477,a(flip),b,11199,a),flip(a)]. 11202 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(14(a,1),11201(a,2,2,1,1))]. 11203 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,10619,a(flip),b,11202,a),flip(a)]. 11206 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(4664(a,2),7118(a,1,2,1,2,2))]. 11207 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6793(a,1),7315(a,1,2,2))]. 11208 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(9189(a,1),7536(a,2,2))]. 11209 K(T(x,y) \ 1,z) * K(x \ K(x,y),x * K(y,x)) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(5331(a,1),8282(a,1,2,2))]. 11210 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(5999(a,1),8468(a,1,2,1)),flip(a)]. 11211 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [hyper(285,a,8030,a(flip),b,11210,a)]. 11212 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6005,a(flip),b,11211,a),flip(a)]. 11213 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [hyper(285,a,5721,a,b,11212,a),flip(a)]. 11214 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(4129(a,1),8660(a,1,1))]. 11215 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(9885,a,11214,a)]. 11216 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(285,a,3341,a(flip),b,11215,a),flip(a)]. 11218 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(11216(a,2),9558(a,1))]. 11219 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4228(a,1),8760(a,1,1,1)),flip(a)]. 11220 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4182(a,1),11219(a,2,2,1,2))]. 11221 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(425(a,1),11220(a,2,2))]. 11222 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4228(a,1),11221(a,1,1)),flip(a)]. 11223 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [hyper(285,a,30,a,b,11222,a),flip(a)]. 11224 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(9095(a,1),11223(a,1,1)),flip(a)]. 11225 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [hyper(285,a,8509,a(flip),b,11224,a),flip(a)]. 11227 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(28(a,1),11225(a,1,1,2))]. 11228 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9374(a,1),11225(a,1,1))]. 11229 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [hyper(66,a,11227,a(flip),b,11228,a),flip(a)]. 11230 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [hyper(122,a,11229,a(flip),b,5130,a(flip)),flip(a)]. 11232 K(x,T(x * T(y,z),u * y)) != w | K(x,T(x * T(y,z),u)) = w. [para(11230(a,2),5208(a,1))]. 11233 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7008(a,2),8900(a,2,2,2))]. 11234 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9450(a,1),9449(a,1,2))]. 11235 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5152(a,1),9517(a,1,1))]. 11236 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(647,a,11235,a),flip(a)]. 11237 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11235(a,1),647(a,1))]. 11238 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5516(a,1),11236(a,1,2)),flip(a)]. 11239 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(7940(a,1),9969(a,1,2))]. 11240 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3584(a,1),10221(a,1,2,2))]. 11241 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(9102(a,1),10818(a,2,2))]. 11242 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1426(a,2),11049(a,2,1))]. 11243 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5334(a,1),11074(a,1,1,1))]. 11244 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(17(a,1),11140(a,2,1))]. 11245 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(285,a,7456,a,b,11244,a)]. 11246 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(7396(a,1),11173(a,1,1))]. 11247 T((x / y) * K(L(y,z,u) * (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(9572(a,1),11181(a,1,1,2))]. 11248 T(x / T(y,L(y,z,u) * (y \ x)),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7403(a,1),11247(a,1,1))]. 11249 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = L(x,z,u) \ (x \ (y * L(x,z,u))). [para(7647(a,1),11248(a,1,1))]. 11250 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ (L(x,z,u) \ (y * L(x,z,u))). [hyper(285,a,1255,a(flip),b,11249,a),flip(a)]. 11251 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(27(a,2),11250(a,2,2))]. 11252 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(66,a,10830,a(flip),b,11207,a)]. 11253 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8496(a,1),11252(a,1,2,2))]. 11254 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(66,a,8299,a(flip),b,11253,a),flip(a)]. 11256 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(66,a,7144,a(flip),b,11254,a)]. 11257 K(T(x,y) \ 1,z) * K(T(x \ K(x,y),y),x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8028(a,1),11209(a,1,2))]. 11258 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = K(T(x,y) \ 1,z) * K(x \ 1,x). [para(7763(a,1),11257(a,1,2)),flip(a)]. 11259 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = (x \ K(T(x,y) \ 1,z)) * x. [hyper(285,a,7059,a(flip),b,11258,a),flip(a)]. 11261 T(x \ K(x,y),z) * (x * K(y,x)) = (x \ K(T(x,y) \ 1,z)) * x. [para(5362(a,1),11259(a,1,2))]. 11262 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(285,a,8135,a(flip),b,11233,a),flip(a)]. 11264 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(4596(a,1),11262(a,1,2,2))]. 11265 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(4645(a,1),11264(a,1,2,2))]. 11267 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6585(a,1),11265(a,1,2)),flip(a)]. 11268 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(285,a,11256,a(flip),b,11267,a),flip(a)]. 11270 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(14(a,1),11234(a,1,2,2,2,1))]. 11271 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(11096,a,11270,a),flip(a)]. 11272 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(10955,a,11271,a)]. 11273 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6746,a,b,11272,a)]. 11274 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7940(a,1),11240(a,1,2))]. 11275 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2510(a,1),11243(a,1,1,2)),flip(a)]. 11276 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7401(a,1),11275(a,2,1))]. 11277 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(285,a,10751,a,b,11276,a),flip(a)]. 11278 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2515(a,1),11277(a,1,1,1))]. 11279 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5334(a,1),11278(a,1,1))]. 11280 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(285,a,7940,a,b,11279,a),flip(a)]. 11281 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2229(a,1),11280(a,1,2))]. 11282 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11280(a,2),7953(a,1))]. 11283 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(123,a,11281,a(flip),b,5191,a)]. 11284 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5320(a,1),11246(a,1,2,2,1)),flip(a)]. 11285 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(285,a,11100,a(flip),b,11284,a),flip(a)]. 11286 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(7409,a,11285,a)]. 11288 (1 / x) / (y \ T(1 / x,z)) = (x \ 1) / (y \ T(x \ 1,z)). [hyper(4796,a,6277,a),flip(a)]. 11290 (1 / x) / (((x \ 1) / (y * (x \ 1))) \ T(1 / x,y)) = (x \ 1) / ((x \ 1) * y). [para(7288(a,1),11288(a,2,2))]. 11291 (1 / x) / ((1 / x) * y) = (x \ 1) / ((x \ 1) * y). [para(7356(a,1),11290(a,1,2))]. 11292 (x \ 1) / ((x \ 1) * (x * y)) = (1 / x) / L(y,x,x \ 1). [para(2951(a,1),11291(a,1,2)),flip(a)]. 11293 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(66,a,2120,a(flip),b,7282,a),flip(a)]. 11295 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11293(a,1,1,2,1,2))]. 11296 K(x,y) * (K(y \ 1,y) * ((T(y,x) * (1 / y)) * z)) = L(z,((T(y,x) \ 1) * y) \ 1,(T(y,x) \ 1) * y). [hyper(285,a,5801,a,b,7555,a)]. 11297 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = L(z,T(x,y) * (1 / x),(T(x,y) \ 1) * x). [para(7554(a,1),7555(a,1,2)),flip(a)]. 11298 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6767(a,1),8517(a,1,2))]. 11299 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(66,a,8028,a(flip),b,11298,a)]. 11300 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(404(a,1),11299(a,2,1,1))]. 11301 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(66,a,8251,a(flip),b,11300,a)]. 11302 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(10942,a,11301,a),flip(a)]. 11303 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(285,a,8924,a(flip),b,11302,a),flip(a)]. 11305 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7487,a,9423,a),flip(a)]. 11306 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5381(a,1),11305(a,1,2)),flip(a)]. 11307 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8463(a,1),4962(a,1,2,1,2))]. 11308 K(x \ (1 / y),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(7688(a,1),5886(a,1,1))]. 11309 K(x \ (y \ 1),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(6697(a,1),11308(a,1,1))]. 11310 K(x \ (y \ 1),x) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4060(a,1),11309(a,1,1))]. 11311 K(x \ (y \ 1),x) / (x * (x \ (1 / y))) = 1 / (x * ((1 / y) / x)). [para(4855(a,1),11310(a,1,2))]. 11312 K(x \ (y \ 1),x) / (1 / y) = 1 / (x * ((1 / y) / x)). [para(15(a,1),11311(a,1,2))]. 11314 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),1 / (x * y)). [hyper(66,a,153,a(flip),b,6156,a),flip(a)]. 11316 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),(x * y) \ 1). [para(3645(a,1),11314(a,2,2))]. 11317 1 / L(x,y * K(x,y),(x * y) \ 1) = a((x * y) \ 1,y,x) / x. [para(10251(a,1),11316(a,1,1)),flip(a)]. 11318 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(15(a,1),6186(a,1,2,1,1,2)),flip(a)]. 11319 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6496(a,1),11318(a,2,2))]. 11320 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6482(a,1),11319(a,2,2))]. 11321 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5146(a,1),11320(a,1,1))]. 11323 (x * (T(y \ 1,z) * y)) \ ((T(y \ 1,z) * y) * x) = K(K(y \ 1,z),K(y \ 1,y) * x). [para(6229(a,1),6227(a,1,1))]. 11324 K(K(x \ 1,y),K(x \ 1,x) * z) = K(T(x \ 1,y) * x,z). [hyper(310,a,11323,a),flip(a)]. 11326 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(T(y \ 1,x) * y,z). [hyper(66,a,7883,a(flip),b,11324,a)]. 11327 K(T(x \ 1,y) * x,z) = K(y,K(x \ 1,z)). [para(3121(a,1),11326(a,1,2)),flip(a)]. 11328 K(T(x \ 1,y) * x,z) = K(y,K(z,x \ 1)). [hyper(285,a,7908,a,b,11327,a),flip(a)]. 11331 (T(x \ 1,y) * x) * K(y,K(z,x \ 1)) = T(T(x \ 1,y) * x,z). [hyper(124,a,11328,a(flip),b,5125,a(flip))]. 11332 ((T(x \ 1,y) * x) * z) \ (z * (T(x \ 1,y) * x)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(6229(a,1),6228(a,1,2))]. 11333 K(K(x \ 1,x) * y,K(x \ 1,z)) = K(y,T(x \ 1,z) * x). [hyper(310,a,11332,a),flip(a)]. 11335 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(z,T(y \ 1,x) * y). [hyper(66,a,7859,a,b,11333,a)]. 11336 K(x,T(y \ 1,z) * y) = K(z,K(y \ 1,x)). [para(3121(a,1),11335(a,1,2)),flip(a)]. 11337 K(x,T(y \ 1,z) * y) = K(z,K(x,y \ 1)). [hyper(285,a,7908,a,b,11336,a),flip(a)]. 11340 (T(x \ 1,y) * x) * K(z,T(x \ 1,y) * x) = T(T(x \ 1,y) * x,z). [para(11337(a,2),11331(a,1,2))]. 11341 (x * (T(y \ 1,z) * y)) / x = T(T(y \ 1,z) * y,x). [hyper(5409,a,11340,a)]. 11342 T(x \ K(x,y),z) * ((y * x) / y) = T(T(x \ 1,z) * x,y). [hyper(66,a,7063,a,b,11341,a)]. 11343 T(x \ K(x,y),z) * (x * K(y,x)) = T(T(x \ 1,z) * x,y). [hyper(66,a,5370,a(flip),b,11342,a)]. 11344 (x \ K(T(x,y) \ 1,z)) * x = T(T(x \ 1,z) * x,y). [hyper(66,a,11261,a(flip),b,11343,a)]. 11345 T(T(x \ 1,y),K(y,z)) * x = T(T(x \ 1,y) * x,z). [hyper(9809,a,11344,a)]. 11346 T(T(x \ 1,x) * x,y) = T(x \ 1,x) * x. [para(1385(a,1),11345(a,1,1)),flip(a)]. 11347 x / (T(y \ 1,y) * y) = (T(y \ 1,y) * y) \ x. [para(11346(a,1),249(a,1,2))]. 11348 K((T((x \ y) \ 1,x \ y) * (x \ y)) \ (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(11347(a,1),9904(a,1,1))]. 11349 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(14(a,1),6454(a,2,2,2,1))]. 11350 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(123,a,11161,a(flip),b,11349,a)]. 11352 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(7399(a,1),11350(a,2,2,1))]. 11353 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(285,a,11099,a(flip),b,11352,a),flip(a)]. 11355 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(11111(a,1),11353(a,2,2))]. 11356 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3747,a,11355,a)]. 11357 T(x,a(y,z,K(x,u))) = x. [hyper(250,a,11356,a)]. 11358 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11357(a,1),7682(a,1,2,2)),flip(a)]. 11359 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(285,a,11137,a,b,11358,a)]. 11360 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11359(a,2),46(a,1))]. 11361 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1080(a,1),7244(a,2,1))]. 11362 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(66,a,11361,a(flip),b,7245,a),flip(a)]. 11363 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1080(a,1),11362(a,1,1)),flip(a)]. 11364 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(7533(a,1),7543(a,1,1,1))]. 11365 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(285,a,8100,a(flip),b,9037,a),flip(a)]. 11366 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(285,a,6918,a(flip),b,11365,a),flip(a)]. 11367 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(90(a,1),11366(a,1,1,1)),flip(a)]. 11368 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11367,a),flip(a)]. 11369 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(9073(a,1),11368(a,1,2)),flip(a)]. 11370 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11369,a),flip(a)]. 11371 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(285,a,6404,a(flip),b,9146,a),flip(a)]. 11372 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(14(a,1),11371(a,2,2))]. 11373 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6548,a,11372,a)]. 11374 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(14(a,1),11373(a,1,2))]. 11375 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(66,a,9050,a(flip),b,11374,a)]. 11376 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(103(a,1),9698(a,1,2)),flip(a)]. 11377 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(285,a,442,a(flip),b,11376,a)]. 11378 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(11000,a,10814,a)]. 11379 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(66,a,10324,a(flip),b,11378,a)]. 11380 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [hyper(66,a,6632,a(flip),b,11379,a),flip(a)]. 11381 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K((x \ 1) \ 1,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(3341(a,2),11206(a,1,2,1,2,2))]. 11382 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,7147,a(flip),b,11273,a)]. 11383 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7940(a,1),11283(a,1,1))]. 11384 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5618(a,1),11307(a,1,2,1)),flip(a)]. 11385 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4566(a,1),11384(a,1,2))]. 11387 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(66,a,7065,a,b,11385,a)]. 11389 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(285,a,5615,a(flip),b,11387,a),flip(a)]. 11390 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(66,a,9777,a(flip),b,11389,a)]. 11391 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(124,a,11390,a(flip),b,5125,a(flip))]. 11392 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(6375,a,11391,a)]. 11393 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5452,a,11392,a)]. 11394 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10214(a,2),11393(a,1,2))]. 11395 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(7499,a,11394,a)]. 11396 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(7409,a,11395,a)]. 11397 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(66,a,6346,a(flip),b,11396,a)]. 11398 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(16(a,1),11397(a,1,2,1,2)),flip(a)]. 11399 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(16(a,1),11398(a,1,2)),flip(a)]. 11400 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(66,a,7291,a(flip),b,11399,a),flip(a)]. 11401 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(17(a,1),11400(a,2,2,1))]. 11402 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(11400(a,2),7941(a,1,2))]. 11403 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(118(a,1),11401(a,2,1))]. 11404 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6166(a,1),11403(a,1,1,2))]. 11405 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(9407(a,1),11404(a,1,1))]. 11406 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(630,a,11405,a),flip(a)]. 11407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(285,a,8540,a(flip),b,11402,a),flip(a)]. 11408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(285,a,8404,a(flip),b,11407,a),flip(a)]. 11409 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6695,a(flip),b,11382,a)]. 11410 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(8452,a,11409,a)]. 11411 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(242(a,1),11410(a,1,1))]. 11412 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(6657,a,11411,a)]. 11414 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(66,a,8162,a(flip),b,11412,a)]. 11415 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(14(a,1),11414(a,1,2,2))]. 11416 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(11000,a,11415,a)]. 11417 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(66,a,8752,a(flip),b,11416,a)]. 11418 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(285,a,10858,a(flip),b,11417,a),flip(a)]. 11419 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(14(a,1),11418(a,1,2,1,1)),flip(a)]. 11420 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4197(a,1),11419(a,1,2,1)),flip(a)]. 11421 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(66,a,10404,a(flip),b,11420,a),flip(a)]. 11422 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(66,a,10860,a(flip),b,11421,a),flip(a)]. 11423 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,11422,a),flip(a)]. 11424 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(66,a,8643,a(flip),b,11423,a)]. 11426 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11424(a,2),10956(a,1))]. 11428 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5219(a,1),6159(a,1,2))]. 11429 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11428(a,1),10519(a,1,2,2))]. 11430 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(6711(a,1),6830(a,1,1,2))]. 11431 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(285,a,7393,a(flip),b,6832,a),flip(a)]. 11432 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(285,a,11030,a(flip),b,11431,a),flip(a)]. 11433 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(7285(a,1),7295(a,2,2,1,1))]. 11434 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(285,a,2570,a(flip),b,11433,a),flip(a)]. 11435 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1635(a,1),11434(a,2,1))]. 11436 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4113(a,1),11435(a,1,1,2,1))]. 11437 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4128(a,1),11436(a,1,1))]. 11438 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9078(a,1),11437(a,1,1)),flip(a)]. 11439 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(5008(a,1),8808(a,2,1,1))]. 11440 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(216(a,1),9410(a,1,1)),flip(a)]. 11441 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7940(a,1),11440(a,2,1,1))]. 11442 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(285,a,30,a,b,11441,a),flip(a)]. 11443 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11073,a(flip),b,11442,a),flip(a)]. 11445 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10801(a,1),9459(a,1,1,2))]. 11446 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(10902(a,1),11445(a,1,1))]. 11447 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(32(a,2),11446(a,1,2))]. 11448 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(255(a,1),11447(a,1,2,1))]. 11449 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,10527,a(flip),b,11448,a)]. 11450 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = K(z,y) * (K(y,z) * x). [para(5417(a,1),11296(a,1,2)),flip(a)]. 11451 L(x,K(y,z),K(z,y)) = L(x,((T(u,w) \ 1) * u) \ 1,(T(u,w) \ 1) * u) # label(flip_matches_hint). [hyper(285,a,5461,a,b,11450,a)]. 11453 L(x,K(y,z),K(z,y)) = L(x,T(u,w) * (1 / u),(T(u,w) \ 1) * u) # label(flip_matches_hint). [para(7554(a,1),11451(a,2,2))]. 11454 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = x. [hyper(5366,a,11453,a),flip(a)]. 11455 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = z. [hyper(66,a,11297,a,b,11454,a)]. 11456 (T(x,y) * (1 / x)) \ z = ((T(x,y) \ 1) * x) * z. [hyper(303,a,11455,a),flip(a)]. 11458 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(14(a,1),11306(a,2,1,1))]. 11459 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(285,a,9836,a(flip),b,11458,a),flip(a)]. 11461 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(14(a,1),11459(a,1,1,1))]. 11462 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(14(a,1),11461(a,1,2,2))]. 11463 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5981(a,1),11462(a,1,2,1,3))]. 11464 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(90(a,1),11430(a,1,1,2,1,2,1))]. 11465 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(9933(a,1),11439(a,2,1,1))]. 11466 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5144(a,1),11465(a,2,1))]. 11468 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9781(a,1),11466(a,1,2,1))]. 11469 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9774(a,1),11468(a,1,2,1))]. 11470 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(86(a,1),11469(a,1,2,1,2,1))]. 11471 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4784(a,1),4882(a,1,1,2))]. 11472 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5334(a,1),6266(a,1,1,2))]. 11473 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = K((z * y) \ x,x \ (z * y)). [hyper(285,a,5964,a(flip),b,7054,a),flip(a)]. 11474 K((x / y) / z,z / (x / y)) = K((z * y) \ x,x \ (z * y)). [hyper(5778,a,11473,a)]. 11475 K((x * y) \ z,z \ (x * y)) = K(x \ (z / y),(z / y) \ x). [hyper(8069,a,11474,a),flip(a)]. 11476 K(x \ (1 / y),(1 / y) \ x) = K(y \ (x \ 1),x * y). [hyper(66,a,10784,a(flip),b,11475,a),flip(a)]. 11477 (1 / x) * (1 / (1 / ((1 / x) \ y))) = y * K(x \ (y \ 1),y * x). [para(11476(a,1),2627(a,1,2)),flip(a)]. 11478 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(x \ ((y / x) \ 1),y). [para(17(a,1),11477(a,2,2,2))]. 11479 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(y \ 1,y). [para(10783(a,1),11478(a,2,2))]. 11480 x \ (1 / (1 / (x * (y / x)))) = (y / x) * K(y \ 1,y). [hyper(66,a,7306,a(flip),b,11479,a)]. 11482 x * (K(y \ 1,y) * (y / x)) = 1 / (1 / (x * (y / x))). [hyper(2418,a,11480,a)]. 11483 1 / (1 / (x * (y / x))) = x * ((1 / (1 / y)) / x). [para(3719(a,1),11482(a,1,2)),flip(a)]. 11484 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [hyper(11232,a,8856,a)]. 11485 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6629,a(flip),b,11484,a),flip(a)]. 11486 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7643(a,1),11485(a,1,2,2,2))]. 11487 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7639(a,1),11486(a,1,2))]. 11489 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),9489(a,1,1,2))]. 11490 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(285,a,9086,a(flip),b,10525,a),flip(a)]. 11492 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(285,a,10524,a(flip),b,11490,a),flip(a)]. 11494 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5133(a,1),10795(a,2,2,1))]. 11497 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(11494(a,2),6558(a,1))]. 11498 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(285,a,3341,a(flip),b,11239,a),flip(a)]. 11499 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(285,a,7693,a(flip),b,11498,a),flip(a)]. 11500 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(285,a,7196,a(flip),b,11499,a),flip(a)]. 11501 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(7940(a,1),11500(a,1,2))]. 11502 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4885,a,11471,a)]. 11503 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(10900(a,1),11472(a,1,1))]. 11504 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),11489(a,1,1,2,1))]. 11505 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(5015,a,11502,a),flip(a)]. 11506 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3654,a,11505,a),flip(a)]. 11508 a(x,y,1 / z) = a(x,y,z \ 1). [para(1103(a,1),11506(a,1,3)),flip(a)]. 11510 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11504(a,1,1))]. 11511 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11510(a,1,1,2))]. 11512 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(9289(a,1),11511(a,1,1,2,2))]. 11513 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(7563,a,11512,a),flip(a)]. 11514 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(285,a,6897,a(flip),b,11513,a),flip(a)]. 11515 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(66,a,9656,a(flip),b,11514,a),flip(a)]. 11516 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),6869(a,1,1,2))]. 11517 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),11516(a,1,2,1))]. 11518 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(23(a,2),11517(a,2,1,2))]. 11519 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5785(a,2),9368(a,1,1,1,2))]. 11520 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(10335(a,1),10764(a,1,1,1,2)),flip(a)]. 11521 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(285,a,10761,a(flip),b,11520,a),flip(a)]. 11523 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(285,a,7968,a,b,11521,a),flip(a)]. 11524 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),11521(a,1,2,2)),flip(a)]. 11525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(112(a,1),11521(a,1,2,2))]. 11526 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(66,a,8449,a,b,11524,a)]. 11528 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(66,a,9520,a(flip),b,11526,a),flip(a)]. 11529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(66,a,10440,a,b,11525,a)]. 11530 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K((x \ y) \ 1,T(z,(y / x) * u)). [para(5745(a,1),11525(a,1,2))]. 11531 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(118(a,1),11529(a,1,2)),flip(a)]. 11532 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8234,a,11523,a)]. 11533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(15(a,1),11532(a,1,2,2)),flip(a)]. 11534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(112(a,1),11532(a,1,2,2))]. 11535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10120,a,b,11533,a)]. 11536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(90(a,1),11535(a,1,2,2)),flip(a)]. 11537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10118,a(flip),b,11536,a),flip(a)]. 11538 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(11537(a,1),10149(a,1,2))]. 11539 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(66,a,7881,a,b,11534,a)]. 11540 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(285,a,7881,a,b,11539,a),flip(a)]. 11541 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(285,a,7935,a(flip),b,11539,a),flip(a)]. 11542 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(11541(a,1),8478(a,1,1,1,1))]. 11543 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(8277(a,2),11540(a,1,2))]. 11545 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(118(a,1),11528(a,1,2)),flip(a)]. 11546 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(66,a,8224,a(flip),b,11545,a)]. 11547 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(66,a,9536,a(flip),b,11546,a)]. 11548 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(112(a,1),11547(a,1,2,2)),flip(a)]. 11549 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7884(a,1),11538(a,1,2))]. 11551 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(10078(a,1),11549(a,2,1))]. 11552 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K(y \ x,T(z,(y / x) * u)). [hyper(285,a,6468,a(flip),b,11530,a),flip(a)]. 11553 K(x \ y,T(z,(x / y) * u)) = K((y \ x) \ 1,T(z,u)). [hyper(66,a,10147,a(flip),b,11552,a),flip(a)]. 11555 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u)). [hyper(285,a,6468,a(flip),b,11553,a),flip(a)]. 11556 K(x \ y,T(z,u * (x / y))) = K(x \ y,T(z,u)). [hyper(66,a,9786,a(flip),b,11555,a)]. 11557 K(((x / y) * x) \ (y * (x / y)),T(z,u * (y \ x))) = K(((x / y) * x) \ (y * (x / y)),T(z,u)). [para(4287(a,1),11556(a,1,2,2,2))]. 11558 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(7875(a,1),11542(a,1,1)),flip(a)]. 11559 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(66,a,7101,a,b,11558,a),flip(a)]. 11560 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(285,a,6468,a(flip),b,11559,a),flip(a)]. 11561 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(285,a,9848,a(flip),b,11560,a),flip(a)]. 11562 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(66,a,11558,a,b,11561,a)]. 11563 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(285,a,7772,a(flip),b,11562,a),flip(a)]. 11564 K(((x / y) * x) \ (y * (x / y)),T(z,u)) = K(y / x,T(z,u * (y \ x))). [hyper(11025,a,11557,a),flip(a)]. 11565 K(x / y,T(z,u * (x \ y))) = K(x / y,T(z,u)). [hyper(11025,a,11564,a),flip(a)]. 11566 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10839(a,1,2,1))]. 11567 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(66,a,9200,a(flip),b,11429,a),flip(a)]. 11569 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(66,a,7881,a,b,11567,a)]. 11570 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10499(a,1),11569(a,1,2))]. 11571 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,10496,a(flip),b,11570,a)]. 11572 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(7940(a,1),11519(a,1,1,1))]. 11573 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(10838,a,11566,a),flip(a)]. 11575 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(66,a,9811,a(flip),b,11573,a),flip(a)]. 11576 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(66,a,5064,a,b,11575,a)]. 11577 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(8600(a,1),11576(a,1,1))]. 11578 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [hyper(124,a,11577,a(flip),b,650,a(flip))]. 11579 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(263,a,11578,a),flip(a)]. 11580 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(7952(a,1),11572(a,1,1,1)),flip(a)]. 11581 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(9263(a,1),11580(a,2,2,1))]. 11582 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5785(a,2),11581(a,2,2,1,2))]. 11583 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5785(a,2),11582(a,1,1,1))]. 11584 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7681(a,2),11583(a,1,1))]. 11585 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10145(a,1),11584(a,1,1))]. 11586 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8538(a,1),11585(a,1,2))]. 11587 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(165(a,1),11586(a,1,2,2)),flip(a)]. 11589 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(186(a,1),11587(a,2,2))]. 11590 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(66,a,10732,a,b,11589,a)]. 11591 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(5785(a,1),11590(a,1,1))]. 11592 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6335(a,1),6455(a,2,2,1,1))]. 11593 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5346(a,1),11592(a,2,2,1))]. 11596 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4069(a,1),6610(a,2,1))]. 11597 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(15(a,1),6811(a,2,2,1,2))]. 11598 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(285,a,222,a(flip),b,11597,a),flip(a)]. 11599 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(222(a,1),11598(a,1,2))]. 11600 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5334(a,1),11599(a,1,2,2))]. 11601 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(285,a,2586,a(flip),b,11600,a),flip(a)]. 11602 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4330(a,1),8766(a,2,2,1))]. 11603 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4182(a,1),11602(a,2,2,2,1))]. 11604 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(9095(a,1),11603(a,2,2))]. 11605 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(8150(a,1),11604(a,2,2))]. 11607 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(285,a,5435,a(flip),b,11605,a),flip(a)]. 11609 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4330(a,1),11607(a,1,1))]. 11610 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4330(a,1),11609(a,1,2,2))]. 11611 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4328(a,1),11610(a,1,1))]. 11612 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4328(a,1),11611(a,1,2,2))]. 11613 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(16(a,1),11612(a,2,2))]. 11614 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(7884(a,2),8965(a,1,2,2))]. 11615 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1905(a,1),9838(a,1,1))]. 11616 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(124,a,9541,a(flip),b,11615,a)]. 11617 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11616(a,1),11503(a,1,1))]. 11618 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6265(a,1),11617(a,1,2))]. 11619 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1109,a,11618,a)]. 11620 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(285,a,5334,a(flip),b,11619,a),flip(a)]. 11621 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(66,a,9522,a,b,11620,a)]. 11622 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3248,a,11621,a),flip(a)]. 11623 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(10952,a,11622,a),flip(a)]. 11625 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10942,a,11623,a),flip(a)]. 11628 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(285,a,7977,a(flip),b,11596,a),flip(a)]. 11629 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(285,a,6009,a(flip),b,11628,a),flip(a)]. 11632 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4658(a,1),11629(a,1,1))]. 11633 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(66,a,6009,a(flip),b,11632,a)]. 11636 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(11633(a,1),7113(a,1,2))]. 11637 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(66,a,3675,a(flip),b,11636,a)]. 11639 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(66,a,5989,a(flip),b,11637,a)]. 11640 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8311(a,1),11614(a,1,2,2)),flip(a)]. 11641 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(38,a,7394,a(flip),b,11640,a),flip(a)]. 11643 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8390,a,11641,a)]. 11644 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(7953,a,11643,a)]. 11645 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(11644(a,2),46(a,1))]. 11646 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((K(y \ 1,y) / (x * y)) * ((((x * y) / x) \ 1) \ 1)) \ 1. [para(2451(a,1),4989(a,2,1,2))]. 11647 (x * ((1 / y) * (y / x))) * K(((1 / y) * (y / x)) \ 1,a(1 / y,y / x,x)) = x / (1 / ((1 / y) * (y / x))). [para(2782(a,1),7208(a,1,1))]. 11648 x / (1 / ((1 / y) * (y / x))) = (x * ((1 / y) * (y / x))) * 1. [para(10557(a,1),11647(a,1,2)),flip(a)]. 11649 x / (1 / ((1 / y) * (y / x))) = x * ((1 / y) * (y / x)). [hyper(285,a,13,a(flip),b,11648,a),flip(a)]. 11651 (x * ((1 / y) * (y / x))) \ x = 1 / ((1 / y) * (y / x)). [hyper(180,a,11649,a)]. 11652 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = (((1 / x) * (x / y)) * y) \ y. [para(11651(a,1),4837(a,1,1))]. 11653 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = a(x \ 1,x / y,y) \ y. [para(3938(a,1),11652(a,2,1))]. 11654 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = L(y,x / y,x \ 1). [hyper(285,a,3940,a(flip),b,11653,a),flip(a)]. 11655 R(1 / (a((x * y) \ 1,y,x) / x),(1 / (x * y)) * ((x * y) / x),x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11654(a,1,1,2))]. 11656 R(1 / (a((x * y) \ 1,y,x) / x),a((x * y) \ 1,y,x) / x,x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11655(a,1,2))]. 11657 L(x,(x * y) / x,(x * y) \ 1) = x / a((x * y) \ 1,y,x). [hyper(66,a,369,a(flip),b,11656,a),flip(a)]. 11658 L(x,y * K(x,y),(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(5149(a,1),11657(a,1,2))]. 11659 1 / (x / a((x * y) \ 1,y,x)) = a((x * y) \ 1,y,x) / x. [para(11658(a,1),11317(a,1,2))]. 11660 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(285,a,473,a(flip),b,10329,a),flip(a)]. 11661 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(66,a,1532,a(flip),b,11660,a)]. 11662 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5447(a,1),11661(a,1,1,2,1))]. 11663 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5853(a,1),11662(a,1,1,2,1))]. 11664 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8004(a,1),11663(a,1,1,2,1)),flip(a)]. 11665 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(66,a,4458,a(flip),b,11664,a),flip(a)]. 11667 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11665(a,1),1167(a,2,1,2)),flip(a)]. 11668 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5334(a,1),11667(a,1,1))]. 11669 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9936(a,1),11668(a,1,1))]. 11670 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(297,a,11669,a)]. 11673 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(66,a,6100,a(flip),b,11670,a)]. 11674 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(285,a,7800,a(flip),b,11673,a),flip(a)]. 11676 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(66,a,9999,a(flip),b,11674,a),flip(a)]. 11678 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(285,a,9764,a(flip),b,11676,a),flip(a)]. 11679 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(10974,a,11678,a)]. 11681 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(66,a,9086,a(flip),b,10526,a),flip(a)]. 11683 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(10705(a,1),10709(a,1,2,1)),flip(a)]. 11684 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(10180(a,1),11683(a,2,2))]. 11685 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(9102(a,1),11684(a,2,2,2))]. 11686 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(285,a,6126,a(flip),b,11685,a),flip(a)]. 11688 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(7996(a,1),11686(a,1,1,1))]. 11689 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(10716(a,1),11688(a,1,1)),flip(a)]. 11690 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(285,a,6126,a(flip),b,11689,a),flip(a)]. 11691 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(7761(a,1),11690(a,2,1,1))]. 11692 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(285,a,13,a(flip),b,11691,a),flip(a)]. 11693 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(11692(a,1),9763(a,1,2))]. 11695 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(11693(a,2),6036(a,1))]. 11696 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5320(a,1),11601(a,2,1,2,1))]. 11697 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(11108(a,1),11696(a,2,1))]. 11698 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6032(a,1),11697(a,1,2,2,2,1))]. 11699 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(66,a,11600,a(flip),b,11698,a)]. 11700 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(66,a,11172,a(flip),b,11699,a)]. 11701 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6374(a,1),11700(a,1,3)),flip(a)]. 11702 a(x,y,a(z,u,K(y,w))) = 1. [hyper(56,a,11701,a)]. 11703 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((((x * y) / x) \ 1) \ K(y \ 1,y))) \ 1. [para(4990(a,1),11646(a,2,1))]. 11704 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) * (1 / y)) \ 1)) \ 1. [para(9805(a,1),11703(a,2,1,2))]. 11705 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) / y) \ 1)) \ 1. [para(6518(a,1),11704(a,2,1,2,1))]. 11706 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(6512(a,1),11705(a,2,1,2))]. 11707 L(x,(((x * y) / x) \ 1) \ 1,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(2451(a,1),11706(a,1,2))]. 11708 L(x,(((x * y) / x) \ 1) \ 1,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,5003,a(flip),b,11707,a)]. 11710 L(x,(x * y) / x,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,7072,a(flip),b,11708,a)]. 11711 ((1 / (x * y)) * (y * K(x,y))) \ 1 = x / a((x * y) \ 1,y,x). [hyper(66,a,11657,a(flip),b,11710,a),flip(a)]. 11712 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = x / a((x * y) \ 1,y,x). [para(10259(a,1),11711(a,1,1))]. 11713 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5320(a,1),7542(a,1,1,1,2,1))]. 11714 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(7557(a,1),11713(a,1,1,1))]. 11715 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11286(a,1),11714(a,1,1))]. 11716 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(11108(a,1),11715(a,1,1,2))]. 11717 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5320(a,1),11716(a,1,3,1))]. 11718 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(11041,a,11717,a),flip(a)]. 11720 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11718(a,1,2,1))]. 11721 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11720(a,1,2,2,1))]. 11722 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(11109(a,1),11721(a,1,2))]. 11723 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(180,a,11722,a)]. 11724 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(66,a,5202,a(flip),b,11722,a),flip(a)]. 11725 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(11722(a,1),307(a,1,1)),flip(b)]. 11727 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(278(a,1),11725(a,1))]. 11728 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3064(a,1),8865(a,2,1,2))]. 11729 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(616(a,1),11728(a,1,1,2,2))]. 11730 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3104(a,1),11729(a,1,1,2))]. 11731 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,6710,a(flip),b,11730,a),flip(a)]. 11732 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(112(a,1),9616(a,2,1))]. 11733 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [hyper(285,a,23,a,b,11732,a),flip(a)]. 11734 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [hyper(66,a,9276,a(flip),b,11733,a),flip(a)]. 11736 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(5101(a,1),11734(a,1,3))]. 11737 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9202(a,1),9993(a,1,1,2))]. 11738 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(11027(a,1),10254(a,1,1))]. 11739 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(6322(a,1),11738(a,1,2))]. 11741 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1633(a,1),11739(a,1,2))]. 11742 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(648,a,11741,a)]. 11743 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(647,a,11741,a),flip(a)]. 11744 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11741(a,1),647(a,1))]. 11745 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(122,a,9826,a,b,11742,a)]. 11746 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(66,a,10185,a,b,11743,a)]. 11747 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(11743(a,1),7030(a,1,1)),flip(a)]. 11748 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(11743(a,1),9578(a,1,2)),flip(a)]. 11749 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4529(a,1),11747(a,2,1))]. 11751 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(11746(a,1),7406(a,1,1))]. 11752 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(11746(a,1),8477(a,1,1)),flip(a)]. 11753 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(17(a,1),11751(a,1,2,2))]. 11754 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5635,a,11748,a)]. 11755 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,989,a(flip),b,11754,a)]. 11756 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(66,a,9920,a(flip),b,11755,a),flip(a)]. 11757 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(66,a,11551,a(flip),b,11752,a),flip(a)]. 11758 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(11047,a,11757,a)]. 11759 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(11744,a,11745,a)]. 11760 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4632,a(flip),b,11759,a),flip(a)]. 11761 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4530,a,11760,a)]. 11762 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9826(a,1),11749(a,1,1))]. 11763 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(11761(a,1),11762(a,2,1))]. 11764 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(66,a,11747,a(flip),b,11763,a)]. 11765 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11237,a,11756,a)]. 11768 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9986(a,1),11765(a,2,2,2))]. 11769 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(15(a,1),11768(a,2,2,2,1))]. 11770 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(14(a,1),11769(a,2,2))]. 11772 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(285,a,11743,a(flip),b,11770,a),flip(a)]. 11773 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4530,a,11772,a),flip(a)]. 11774 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(66,a,11238,a(flip),b,11772,a),flip(a)]. 11777 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(11027(a,1),11034(a,1,1,2,1,1)),flip(a)]. 11778 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(14(a,1),11777(a,2,1,2,1))]. 11780 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(11027(a,1),11778(a,1,1)),flip(a)]. 11781 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2239(a,1),11780(a,2,2))]. 11782 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(66,a,11101,a,b,11781,a)]. 11783 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(11781(a,1),11364(a,1,1))]. 11784 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11782,a),flip(a)]. 11785 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5446(a,1),11783(a,1,1,2))]. 11786 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(11045,a,11785,a),flip(a)]. 11787 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4701,a,11786,a)]. 11789 K(x,a(K(y,z),u,u \ 1)) = 1. [para(11787(a,1),10350(a,1,2))]. 11790 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(59,a,11789,a)]. 11791 T(x,a(K(y,z),u \ 1,u)) = x. [para(3671(a,1),11790(a,1,2))]. 11792 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(57,a,11791,a)]. 11793 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(285,a,3652,a,b,11792,a),flip(a)]. 11794 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5450(a,2),11793(a,1,1))]. 11795 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(66,a,9751,a,b,11794,a)]. 11796 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(66,a,7711,a,b,11795,a)]. 11797 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4864(a,1),11295(a,1,1))]. 11799 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11797(a,1,2,1,2))]. 11800 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2987,a,11799,a)]. 11801 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(285,a,6294,a,b,11800,a)]. 11802 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2193,a,11801,a)]. 11803 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(285,a,8847,a(flip),b,11802,a),flip(a)]. 11805 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11802(a,1),240(a,1,2)),flip(b)]. 11806 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11803(a,1),8854(a,1,1,2))]. 11807 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),11806(a,1,2,1))]. 11808 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(14(a,1),11737(a,1,1)),flip(a)]. 11809 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(285,a,7428,a(flip),b,11808,a),flip(a)]. 11811 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(7428(a,1),11809(a,1,1,2))]. 11812 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(9571(a,1),11811(a,1,1))]. 11814 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(11812(a,1),10911(a,1,1))]. 11815 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(16(a,1),11814(a,1,1,1)),flip(a)]. 11816 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(285,a,7392,a(flip),b,11815,a),flip(a)]. 11818 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(11816(a,1),476(a,1,1)),flip(a)]. 11819 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [hyper(122,a,11818,a(flip),b,646,a)]. 11820 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(306,a,11819,a),flip(a)]. 11822 a(x,L(y,z,u),K(w,y)) = 1. [hyper(66,a,11148,a(flip),b,11820,a)]. 11823 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(55,a,11822,a)]. 11825 K(L(x \ L(y,z,u),x,w),y) = K(x \ L(y,z,u),y). [hyper(66,a,6654,a(flip),b,11823,a)]. 11826 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11823(a,1),7559(a,1,1,2)),flip(a)]. 11827 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(T(z,x * y),u,w),T(z,x * y)). [hyper(66,a,10670,a,b,11825,a)]. 11828 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,7400,a(flip),b,11826,a),flip(a)]. 11829 K(x,((L(x,y,z) \ 1) * u) \ 1) = K(x,u \ L(x,y,z)). [hyper(66,a,7203,a(flip),b,11828,a)]. 11830 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(66,a,6636,a(flip),b,11828,a),flip(a)]. 11831 (1 / L(x,y,z)) \ K(x,u) = L(x,y,z) * K(x,u). [hyper(122,a,11828,a(flip),b,2951,a)]. 11833 L(x \ y,x,1 / y) * K(x \ y,z) = ((1 / y) * x) \ K(x \ y,z). [para(561(a,1),11831(a,1,1)),flip(a)]. 11834 K(x,y \ L(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10627,a(flip),b,11829,a),flip(a)]. 11835 K(x,y \ L(x,z \ 1,z)) = K(x,y \ x). [para(2969(a,1),11834(a,1,2,2))]. 11836 K(x,y \ ((1 / (z / x)) * z)) = K(x,y \ x). [para(2962(a,1),11834(a,1,2,2))]. 11837 K(x,y \ (((z / x) \ 1) * z)) = K(x,y \ x). [hyper(66,a,7198,a(flip),b,11836,a)]. 11838 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ x). [hyper(66,a,9748,a,b,11837,a)]. 11840 (((1 / x) * y) \ 1) * K(y \ x,z) = ((1 / x) * y) \ K(y \ x,z). [para(455(a,1),11833(a,1,1))]. 11841 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(10360(a,1),8899(a,1,1))]. 11843 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(11370(a,1),11841(a,1,1))]. 11844 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1782(a,2),11843(a,1,2))]. 11845 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(5315(a,1),11844(a,1,2,1))]. 11846 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(6279(a,1),11845(a,1,2,1,2))]. 11847 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(6142(a,2),11846(a,2,1))]. 11849 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(11073(a,1),9243(a,1,1))]. 11850 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(9235(a,1),11849(a,1,2,2)),flip(a)]. 11852 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(6311(a,1),11850(a,2,2))]. 11853 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(9235(a,1),11852(a,1,2,2)),flip(a)]. 11854 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8173(a,1),11853(a,2,2))]. 11855 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(285,a,10188,a(flip),b,11854,a),flip(a)]. 11856 K(x,x \ y) * K(y,x) = a(x,y / x,x). [hyper(66,a,4268,a(flip),b,11854,a),flip(a)]. 11857 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(66,a,2364,a(flip),b,11854,a),flip(a)]. 11859 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(2236,a,11856,a)]. 11860 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(66,a,9378,a,b,11859,a)]. 11861 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(16(a,1),11860(a,1,2,1,2)),flip(a)]. 11862 (x * y) \ T(y * x,y) = a(y,x,y). [para(16(a,1),11861(a,1,2)),flip(a)]. 11863 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5316(a,1),11857(a,1,1))]. 11864 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(9816(a,1),11863(a,1,2)),flip(a)]. 11865 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(285,a,9821,a(flip),b,11864,a),flip(a)]. 11866 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1571(a,1),11855(a,1,2))]. 11867 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(647,a,11866,a),flip(a)]. 11869 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(10256,a,11867,a)]. 11870 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [hyper(124,a,11867,a(flip),b,5526,a),flip(a)]. 11871 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10600(a,1),11867(a,1,2))]. 11872 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5452,a,11869,a)]. 11873 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(11869(a,1),11153(a,1,1)),flip(a)]. 11874 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(11869(a,1),11432(a,2,2))]. 11875 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(122,a,10569,a(flip),b,11870,a(flip))]. 11876 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(66,a,11875,a(flip),b,11871,a),flip(a)]. 11878 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(66,a,11865,a(flip),b,11876,a)]. 11880 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11878(a,1),10544(a,1,1))]. 11881 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6457(a,1),11874(a,1,1))]. 11882 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6826(a,1),11881(a,1,2))]. 11883 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(66,a,11093,a(flip),b,11882,a)]. 11884 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10150(a,1),11883(a,1,2))]. 11885 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),5227(a,2,2,1,1,1))]. 11886 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),11885(a,1,1))]. 11887 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5853(a,1),11886(a,1,2,1))]. 11888 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5334(a,1),11887(a,1,2,2))]. 11889 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5334(a,1),11888(a,2,2,1,2))]. 11890 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(8851(a,2),11889(a,2,1))]. 11891 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9099(a,1),11890(a,1,2,2))]. 11892 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6337(a,1),11891(a,1,2))]. 11893 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9137(a,1),11892(a,1,2,2)),flip(a)]. 11894 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(285,a,14,a(flip),b,11893,a),flip(a)]. 11896 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(8851(a,1),11894(a,1,1))]. 11897 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9099(a,1),11896(a,1,2,1,2))]. 11898 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9219(a,1),11897(a,1,2,1))]. 11899 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(38,a,5045,a,b,11898,a)]. 11901 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(665(a,1),11899(a,1,2))]. 11902 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(66,a,6223,a(flip),b,11901,a)]. 11903 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7761(a,1),11902(a,1,2))]. 11904 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(11902(a,1),11058(a,1,2))]. 11905 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(11903(a,1),6311(a,1,1)),flip(a)]. 11906 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(285,a,5045,a(flip),b,11905,a),flip(a)]. 11907 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8749(a,1),11906(a,1,2))]. 11908 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7803(a,2),11907(a,1,1))]. 11909 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6051,a(flip),b,5735,a),flip(a)]. 11911 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,6224,a(flip),b,11909,a)]. 11912 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6970,a(flip),b,11911,a)]. 11913 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(16(a,1),11912(a,1,2,1))]. 11914 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,9284,a(flip),b,11913,a)]. 11915 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(285,a,8265,a(flip),b,11914,a),flip(a)]. 11916 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(8878(a,1),9265(a,2,2))]. 11917 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(78(a,1),11916(a,2,2,2,1))]. 11918 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4220(a,1),11917(a,2,2))]. 11919 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4084(a,1),11918(a,1,2,1))]. 11920 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(11918(a,1),7561(a,1,1,2)),flip(a)]. 11921 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(9772(a,1),11919(a,1,2)),flip(a)]. 11922 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(78(a,1),11921(a,2,2,2,1))]. 11923 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(7994(a,1),11922(a,2,2))]. 11924 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(5852(a,1),11923(a,2,2))]. 11925 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(285,a,9234,a(flip),b,11924,a),flip(a)]. 11926 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),9549(a,1,2,1))]. 11927 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),11926(a,1,2,2,1,1))]. 11928 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(830(a,1),11927(a,1,2))]. 11929 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9635(a,1),11928(a,1,2))]. 11930 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(6179,a,11929,a),flip(a)]. 11932 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3341(a,1),11930(a,2,1))]. 11933 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6238(a,1),11932(a,1,1))]. 11934 R(K(x,y),K(y,z),u) = K(x,y). [hyper(869,a,11933,a)]. 11935 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(14(a,1),11933(a,1,2))]. 11937 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(11934(a,1),2570(a,1,1)),flip(a)]. 11939 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(224,a,11935,a,b,15,a),flip(a)]. 11940 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(123,a,10740,a(flip),b,11935,a)]. 11941 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(123,a,11935,a(flip),b,5191,a)]. 11942 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2229(a,2),11935(a,1,1))]. 11943 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(8549(a,1),11935(a,1,1)),flip(a)]. 11944 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5106(a,1),11940(a,1,1))]. 11945 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(285,a,10745,a,b,11942,a),flip(a)]. 11946 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5360(a,1),11942(a,2,2))]. 11947 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,11945,a)]. 11948 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(224,a,11945,a,b,15,a),flip(a)]. 11952 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(285,a,4200,a(flip),b,11947,a),flip(a)]. 11953 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11443,a(flip),b,11947,a),flip(a)]. 11958 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7687(a,1),11947(a,1,2))]. 11960 L(x,K(y,z),K(u,K(z,w))) = x. [para(7881(a,1),11947(a,1,3))]. 11961 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(11947(a,1),11054(a,1,1,1)),flip(a)]. 11962 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1176,a,11958,a),flip(a)]. 11963 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1176,a,11960,a),flip(a)]. 11964 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(11952(a,1),10568(a,1,2,3))]. 11965 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,11449,a(flip),b,11964,a),flip(a)]. 11966 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(122,a,5360,a(flip),b,11946,a)]. 11967 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5726,a,11953,a)]. 11969 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7940(a,1),11953(a,1,1))]. 11970 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(2229(a,1),11966(a,1,1))]. 11971 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(285,a,5130,a(flip),b,11967,a)]. 11972 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11953,a(flip),b,11967,a)]. 11973 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10571(a,1),11969(a,1,1,2)),flip(a)]. 11974 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(285,a,11942,a,b,11970,a),flip(a)]. 11975 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(285,a,5150,a(flip),b,11972,a),flip(a)]. 11976 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11972(a,1),4577(a,1,2))]. 11977 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(11972(a,1),5207(a,1))]. 11978 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(66,a,11154,a(flip),b,11948,a)]. 11979 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5360(a,1),11948(a,1,2,2)),flip(a)]. 11980 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5190(a,1),11971(a,2,1)),flip(a)]. 11981 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(66,a,11758,a(flip),b,11978,a),flip(a)]. 11982 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2229(a,1),11961(a,1,2,2))]. 11983 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11963(a,2),847(a,1,2))]. 11984 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(66,a,10765,a(flip),b,11980,a)]. 11985 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(11982(a,1),7436(a,1,1))]. 11986 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5900,a,11984,a)]. 11987 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(66,a,10767,a,b,11986,a)]. 11988 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(11986(a,2),5303(a,2,2)),flip(a)]. 11989 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8307(a,1),11986(a,1,1))]. 11990 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(200(a,2),11944(a,1,2,2,2))]. 11991 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(10228(a,1),11973(a,2,1))]. 11992 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11953,a(flip),b,11991,a),flip(a)]. 11993 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10571(a,1),11992(a,1,2,2))]. 11994 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(285,a,11972,a,b,11993,a)]. 11995 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(11066,a,11941,a)]. 11996 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7500(a,1),11985(a,1,1,1)),flip(a)]. 11997 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11969(a,1),11996(a,2,1))]. 11998 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(285,a,5119,a,b,11997,a),flip(a)]. 11999 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5334(a,1),11998(a,1,2))]. 12000 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7881(a,1),11987(a,1,2,2,2))]. 12001 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8307(a,1),11989(a,1,2)),flip(a)]. 12002 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(285,a,11986,a(flip),b,12001,a),flip(a)]. 12005 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7702(a,1),12002(a,1,1)),flip(a)]. 12006 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11282,a,11995,a)]. 12007 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7942(a,1),12006(a,1,1)),flip(a)]. 12008 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(285,a,11967,a(flip),b,12007,a),flip(a)]. 12009 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(11977,a,12008,a(flip)),flip(a)]. 12010 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2229(a,2),12008(a,1,2,1))]. 12011 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(37,a,5130,a(flip),b,12010,a),flip(a)]. 12012 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12010(a,1),11975(a,1,1))]. 12013 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(66,a,11999,a,b,12011,a)]. 12014 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(124,a,12011,a(flip),b,5125,a(flip))]. 12015 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2229(a,1),12011(a,2,2))]. 12016 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2229(a,1),12015(a,1,1))]. 12017 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(66,a,12009,a(flip),b,12016,a)]. 12018 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(66,a,12005,a(flip),b,12017,a),flip(a)]. 12020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12018(a,1),11383(a,2,2))]. 12022 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5409,a,12014,a)]. 12023 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11279(a,1),12022(a,1,1))]. 12024 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4463,a,12000,a)]. 12025 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7881(a,1),12024(a,1,1))]. 12027 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(66,a,9701,a(flip),b,11965,a),flip(a)]. 12028 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9729(a,1),12027(a,2,2))]. 12029 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(285,a,4292,a(flip),b,12028,a),flip(a)]. 12030 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9393(a,1),12029(a,1,1,1))]. 12031 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10801(a,1),12030(a,1,1)),flip(a)]. 12033 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12031(a,1),5576(a,1))]. 12034 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(285,a,11935,a(flip),b,12020,a),flip(a)]. 12036 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(11934(a,1),11937(a,2,2,1,1))]. 12037 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12036(a,2,2,1))]. 12039 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12037(a,1,1,2,1))]. 12040 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12039(a,1),466(a,1,1,1)),flip(a)]. 12041 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12039(a,2),6951(a,1,1))]. 12042 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7860(a,1),12041(a,1,1,1,2,1))]. 12043 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(10155(a,1),12042(a,1,1,1,2))]. 12044 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12025(a,1),12043(a,1,1,1))]. 12045 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5334(a,1),6060(a,1,2,1))]. 12046 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5493(a,1),7505(a,1,1))]. 12047 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5493(a,1),12046(a,1,2,1,1)),flip(a)]. 12048 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5320(a,1),12047(a,2,2,1))]. 12049 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6090(a,1),12048(a,2,2))]. 12050 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5126(a,1),12049(a,1,1,1)),flip(a)]. 12051 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6090(a,1),12050(a,2,1,2))]. 12052 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6065(a,1),8985(a,1,1,2))]. 12053 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * L(x,y,(x * y) \ 1)) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),12045(a,1,2,2))]. 12054 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * (((1 / (x * y)) * y) * L(x,y,(x * y) \ 1))) = K(y,x) \ ((1 / (x * y)) * y). [para(9172(a,1),12053(a,1,2))]. 12055 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * ((1 / (x * y)) * (y * x))) = K(y,x) \ ((1 / (x * y)) * y). [para(3667(a,1),12054(a,1,2,2))]. 12056 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * K(y,x)) = K(y,x) \ ((1 / (x * y)) * y). [para(5874(a,2),12055(a,1,2,2))]. 12057 K(x,y) \ ((1 / (y * x)) * x) = 1 / L(y,x,(y * x) \ 1). [hyper(5365,a,12056,a),flip(a)]. 12058 K(x,y) * ((1 / (x * y)) * y) = 1 / L(x,y,(x * y) \ 1). [hyper(5464,a,12057,a)]. 12060 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = L(x,y,(x * y) \ 1). [hyper(180,a,12058,a(flip))]. 12062 x / a((x * y) \ 1,y,x) = L(x,y,(x * y) \ 1). [hyper(66,a,11712,a(flip),b,12060,a)]. 12063 a((x * y) \ 1,y,x) / x = 1 / L(x,y,(x * y) \ 1). [para(12062(a,1),11659(a,1,2)),flip(a)]. 12064 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(10931(a,1),12052(a,1,1))]. 12065 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(8984(a,1),12064(a,1,2)),flip(a)]. 12066 (((x * y) \ 1) \ 1) * ((y * x) \ 1) = (x * y) * (1 / (y * x)). [hyper(124,a,7576,a(flip),b,12065,a(flip))]. 12067 (((((1 / (1 / x)) / y) * y) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(11483(a,2),12066(a,1,2,1))]. 12068 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4228(a,1),6023(a,1,1)),flip(a)]. 12069 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4191(a,1),12068(a,2,2,1))]. 12070 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6042(a,1),12069(a,1,2,1))]. 12071 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4181(a,1),12070(a,1,1)),flip(a)]. 12072 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(118(a,1),12071(a,2,2,1))]. 12073 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4331(a,1),12072(a,1,1))]. 12074 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5800(a,1),6621(a,1,1)),flip(a)]. 12075 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5143(a,1),12074(a,2,1))]. 12076 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(285,a,6253,a(flip),b,12075,a),flip(a)]. 12077 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(9548(a,1),12076(a,1,2,1))]. 12078 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3036(a,1),12077(a,1,2))]. 12079 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(8885(a,1),12078(a,1,2)),flip(a)]. 12080 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(12079(a,1),8464(a,1,1,1)),flip(a)]. 12082 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3742(a,1),12080(a,1,1)),flip(a)]. 12083 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(285,a,9473,a(flip),b,12082,a),flip(a)]. 12084 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(285,a,9761,a(flip),b,12083,a),flip(a)]. 12085 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(66,a,6748,a(flip),b,12084,a)]. 12086 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(66,a,10298,a(flip),b,12085,a)]. 12087 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(282(a,1),12086(a,1,1,1))]. 12088 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4271(a,1),12086(a,1,1,1))]. 12089 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(12086(a,1),5805(a,1,2,1,2))]. 12090 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(12086(a,1),11213(a,2,1,1,2))]. 12091 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [hyper(66,a,12086,a(flip),b,12087,a),flip(a)]. 12092 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [hyper(285,a,11487,a(flip),b,12088,a),flip(a)]. 12093 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,12086,a(flip),b,12092,a)]. 12094 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(15(a,1),12093(a,1,2,2)),flip(a)]. 12095 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [hyper(285,a,8464,a(flip),b,12091,a),flip(a)]. 12096 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [hyper(66,a,12094,a(flip),b,12095,a),flip(a)]. 12097 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(66,a,9012,a(flip),b,12089,a),flip(a)]. 12098 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [hyper(285,a,8836,a(flip),b,12090,a),flip(a)]. 12099 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(66,a,11212,a(flip),b,12098,a)]. 12100 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [hyper(66,a,12096,a,b,12099,a)]. 12101 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(90(a,1),12100(a,1,1,2,1)),flip(a)]. 12102 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [hyper(66,a,11380,a,b,12101,a)]. 12103 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(10960,a,12102,a),flip(a)]. 12104 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(66,a,9425,a(flip),b,12103,a)]. 12105 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(66,a,8466,a(flip),b,12103,a),flip(a)]. 12106 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(10983,a,12104,a)]. 12107 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(10982,a,12104,a)]. 12108 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(66,a,8172,a,b,12106,a)]. 12109 K(((x * y) / z) \ y,y) = K(z / x,y). [para(16(a,1),12108(a,1,1,2)),flip(a)]. 12110 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(66,a,6716,a(flip),b,12105,a)]. 12111 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),10552(a,1,1))]. 12112 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12111(a,1,2,1,1,1))]. 12113 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9225(a,1),12112(a,1,2,1,1))]. 12114 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(5320(a,1),12113(a,1,2,1))]. 12115 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12114(a,1,2,2))]. 12116 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7681(a,2),10763(a,2,2))]. 12117 (((1 / (1 / x)) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(17(a,1),12067(a,1,1,1,1))]. 12119 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * ((1 / (1 / (y * (x / y)))) \ 1). [para(184(a,1),12117(a,1,1)),flip(a)]. 12120 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(90(a,1),12119(a,2,2))]. 12121 (1 / (1 / x)) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [hyper(293,a,12120,a)]. 12124 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(10415(a,1),12116(a,2,2))]. 12125 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). [hyper(285,a,7396,a(flip),b,12124,a),flip(a)]. 12127 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [para(7761(a,1),12125(a,2,2))]. 12128 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(285,a,9707,a(flip),b,12127,a),flip(a)]. 12129 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7682(a,1),12128(a,2,2))]. 12130 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7980(a,1),12129(a,1,2))]. 12131 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(7410,a,12130,a)]. 12134 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(12131(a,1),11098(a,1))]. 12135 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10174(a,1),9605(a,1,1))]. 12136 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(11925(a,1),11920(a,2,1,2))]. 12137 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),11983(a,1,1,3,1))]. 12138 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6534(a,1),11990(a,1,2,1))]. 12139 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3858(a,1),12138(a,1,2,2)),flip(a)]. 12140 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9879(a,1),12139(a,2,2))]. 12141 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(14(a,1),12140(a,2,2,1))]. 12142 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12141(a,1,1,2))]. 12143 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8628(a,1),12142(a,1,1))]. 12144 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12143(a,1,2,1))]. 12146 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7148(a,1),12144(a,1,2))]. 12147 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8331(a,1),12146(a,1,2))]. 12148 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7248(a,1),12147(a,1,2)),flip(a)]. 12149 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(285,a,9312,a,b,12148,a),flip(a)]. 12151 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8738(a,1),12135(a,1,1,2))]. 12152 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7881(a,1),12151(a,1,1))]. 12154 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8266(a,1),12152(a,1,1,2))]. 12155 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(14(a,1),12154(a,1,1,2,1,2))]. 12156 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7884(a,1),12155(a,1,1))]. 12157 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7960(a,1),12156(a,1,1))]. 12158 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7929(a,1),12157(a,1,1))]. 12159 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7881(a,1),12158(a,1,1))]. 12160 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10481(a,1),12159(a,1,2))]. 12161 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(7560,a,12160,a)]. 12162 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7761(a,1),12161(a,1,2,1))]. 12163 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(12162(a,1),46(a,1))]. 12164 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9873(a,1),12137(a,1,1,3))]. 12165 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7715(a,2),12164(a,1,1,3))]. 12167 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),12165(a,1,2,1,1))]. 12168 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11942(a,1),12167(a,1,2))]. 12169 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7881(a,1),12168(a,2,2,1))]. 12170 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(9873(a,1),12169(a,2,2))]. 12171 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7715(a,2),12170(a,2,2))]. 12173 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(11033(a,1),12171(a,1,1))]. 12174 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(66,a,11939,a(flip),b,12173,a),flip(a)]. 12175 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(66,a,2237,a(flip),b,12174,a)]. 12176 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7681(a,2),12175(a,1,2))]. 12177 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9741(a,1),6242(a,1,1)),flip(a)]. 12178 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(285,a,9286,a,b,12177,a),flip(a)]. 12180 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5219(a,1),12178(a,2,1))]. 12181 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9741(a,1),6243(a,1,1)),flip(a)]. 12182 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(285,a,9286,a,b,12181,a),flip(a)]. 12184 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5219(a,1),12182(a,2,1))]. 12185 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(285,a,9802,a(flip),b,12184,a),flip(a)]. 12186 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4187(a,2),12185(a,1,2))]. 12187 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9737(a,1),12186(a,1,2,1))]. 12188 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4182(a,2),12187(a,1,2,1))]. 12190 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),6821(a,1,2,1))]. 12191 (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(10318(a,1),9544(a,1,1)),flip(a)]. 12192 (1 / x) * (((1 / x) / (y * ((1 / x) / y))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(7173(a,1),12191(a,1,2,1,2))]. 12194 (1 / x) * (K(y \ (1 / x),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),12192(a,1,2,1))]. 12195 (1 / x) * (K(y \ (x \ 1),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),12194(a,1,2,1))]. 12196 (1 / x) * (1 / (y * ((1 / x) / y))) = (x \ 1) / (y * ((1 / x) / y)). [para(11312(a,1),12195(a,1,2))]. 12197 (1 / x) * (1 / (y * ((1 / x) / y))) = ((y \ (x \ 1)) * y) * x. [hyper(285,a,6824,a(flip),b,12196,a),flip(a)]. 12198 ((x \ ((1 / y) \ 1)) * x) * (1 / y) = y * (1 / (x * (y / x))). [hyper(66,a,12121,a(flip),b,12197,a),flip(a)]. 12199 ((x \ y) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(90(a,1),12198(a,1,1,1,2))]. 12200 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(8907(a,1),10271(a,2,1))]. 12201 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(9984(a,1),12200(a,2,1))]. 12202 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(3339(a,1),12201(a,2,2))]. 12204 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(6468(a,1),12202(a,2,2))]. 12205 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(285,a,5792,a(flip),b,12204,a),flip(a)]. 12206 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2606(a,1),12205(a,1,2,3))]. 12207 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4803(a,1),12206(a,1,2))]. 12208 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(1089,a,12207,a)]. 12209 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(66,a,1535,a(flip),b,12208,a),flip(a)]. 12210 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [para(117(a,2),12209(a,1,1))]. 12211 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12210(a,2,2))]. 12212 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),12211(a,2,2,1))]. 12213 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(66,a,10307,a(flip),b,12212,a),flip(a)]. 12216 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(11966(a,1),11988(a,2,1,1))]. 12217 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),12190(a,1,2,1,1))]. 12218 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(112(a,1),12217(a,1,2)),flip(a)]. 12219 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(112(a,1),12218(a,2,2,1))]. 12220 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(6681(a,1),12219(a,2,2,1,1))]. 12221 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(285,a,6136,a(flip),b,12220,a),flip(a)]. 12222 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(285,a,6934,a(flip),b,12221,a),flip(a)]. 12223 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(571(a,1),12222(a,1,2,2,2))]. 12224 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(66,a,6935,a(flip),b,12223,a),flip(a)]. 12225 K(x,R(y \ 1,z,u) \ (x \ 1)) = R(K(x,x \ y),z,u). [hyper(66,a,9319,a(flip),b,12224,a),flip(a)]. 12226 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(66,a,7307,a(flip),b,12224,a),flip(a)]. 12227 K(x,(y * z) / (T(y,z) * x)) = R(K(x,x \ z),z,y). [hyper(66,a,8926,a(flip),b,12225,a)]. 12228 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),y,z). [hyper(66,a,8688,a,b,12227,a)]. 12229 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12226,a),flip(a)]. 12230 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(10936(a,1),6296(a,1,3)),flip(a)]. 12231 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(15(a,1),12230(a,2,3,1,1))]. 12232 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(285,a,4802,a(flip),b,12231,a),flip(a)]. 12234 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(5292(a,1),12232(a,1,1))]. 12235 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(98(a,1),12234(a,1,2,2))]. 12236 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(10936(a,1),12235(a,1,2)),flip(a)]. 12237 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(15(a,1),12236(a,2,2,1,1))]. 12238 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(285,a,5334,a(flip),b,12237,a),flip(a)]. 12240 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(285,a,6189,a(flip),b,12238,a),flip(a)]. 12241 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12240(a,1),394(a,1,1))]. 12242 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(66,a,7676,a(flip),b,12241,a),flip(a)]. 12243 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6097(a,1),9700(a,1,1,1))]. 12244 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6134(a,1),12243(a,1,1)),flip(a)]. 12245 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(285,a,10228,a(flip),b,12244,a),flip(a)]. 12247 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6097(a,1),12245(a,1,1))]. 12248 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(66,a,11208,a,b,12247,a)]. 12249 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6097(a,1),12248(a,1,2,1))]. 12250 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10160(a,1),12249(a,1,2))]. 12251 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9827(a,1),12250(a,1,2,2))]. 12253 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9830(a,1),12251(a,1,2,2))]. 12254 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(7896,a,12253,a),flip(a)]. 12256 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(11645,a,12254,a)]. 12257 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7512,a,12254,a)]. 12259 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11967,a(flip),b,12257,a),flip(a)]. 12260 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(285,a,10199,a(flip),b,12257,a),flip(a)]. 12261 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(606(a,1),12257(a,1,2,2)),flip(a)]. 12262 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12260(a,1),11274(a,1,2))]. 12263 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(66,a,11969,a(flip),b,12259,a)]. 12264 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2229(a,1),12263(a,1,2)),flip(a)]. 12265 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(66,a,11972,a,b,12264,a)]. 12266 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(285,a,5130,a(flip),b,12265,a)]. 12267 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(37,a,5130,a(flip),b,12266,a)]. 12268 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(285,a,10585,a(flip),b,8963,a),flip(a)]. 12269 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(285,a,7884,a(flip),b,12268,a),flip(a)]. 12270 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),9490(a,1,1,1))]. 12271 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6897(a,1),12270(a,1,1,2))]. 12272 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(11515(a,1),12271(a,1,1,2))]. 12273 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),12272(a,1,2,1))]. 12274 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5334(a,1),12273(a,1,2))]. 12275 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(66,a,11946,a(flip),b,12274,a),flip(a)]. 12277 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9289(a,1),12275(a,1,2,1,2,1))]. 12278 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(7679(a,1),12277(a,1,2,1))]. 12279 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9466(a,1),12278(a,1,2))]. 12280 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(7684,a,12279,a)]. 12281 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(12280(a,1),12115(a,1,2))]. 12282 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(5454,a,12281,a),flip(a)]. 12284 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(5320(a,1),12282(a,1,1))]. 12285 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(66,a,9225,a(flip),b,12284,a)]. 12286 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,9728,a(flip),b,12285,a),flip(a)]. 12287 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12286,a),flip(a)]. 12289 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3075(a,1),8931(a,1,1,1,2))]. 12290 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10160(a,1),11847(a,1,1))]. 12291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(285,a,14,a(flip),b,12040,a),flip(a)]. 12293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12039(a,1),12291(a,1,3))]. 12296 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4815(a,1),12289(a,1,1,1))]. 12297 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(115(a,1),12296(a,1,1,1)),flip(a)]. 12301 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3075(a,1),12297(a,2,1,3,2))]. 12302 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(14(a,1),12301(a,2,1,3))]. 12306 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4802(a,1),12302(a,2,1))]. 12307 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(87(a,1),12306(a,1,1,1,1,2))]. 12309 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3075(a,1),12307(a,1,1,2))]. 12310 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(66,a,6737,a(flip),b,12309,a)]. 12312 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(27(a,2),12310(a,1,1,1,1)),flip(a)]. 12313 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(9829(a,1),12290(a,1,1,2))]. 12315 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10163(a,1),12313(a,1,1))]. 12316 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(10156(a,1),12315(a,1,1)),flip(a)]. 12317 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(7996(a,1),12316(a,2,2,1))]. 12319 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(6142(a,1),12317(a,1,1))]. 12320 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(66,a,9196,a(flip),b,12319,a),flip(a)]. 12322 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11966(a,1),11976(a,1,2,1,1))]. 12323 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11279(a,1),12322(a,1,2,1))]. 12324 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7942(a,1),12323(a,1,2,1,1))]. 12325 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11953(a,1),12324(a,1,2,1))]. 12326 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12012(a,1),12325(a,1,2)),flip(a)]. 12327 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(285,a,12022,a(flip),b,12326,a),flip(a)]. 12328 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(11966(a,1),12327(a,1,2))]. 12329 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5316(a,1),6188(a,1,1,1,2))]. 12330 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6829(a,1),12329(a,1,1,1))]. 12331 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1580(a,1),12330(a,1,2))]. 12332 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(760,a,12331,a),flip(a)]. 12333 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1580(a,1),12332(a,1,1))]. 12334 (x * (y * (1 / (z * (y / z))))) * a(x,K((1 / y) \ K(z \ y,z),1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(12199(a,1),6825(a,1,1,2))]. 12335 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),7314(a,2,2))]. 12336 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12335(a,1,1,3,2,2))]. 12337 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12336(a,1,2,1,2,2))]. 12338 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(7313,a,12337,a)]. 12339 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5083(a,1),12334(a,1,2,2,1))]. 12340 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(4598(a,1),12339(a,1,2,2))]. 12341 (x * (y * (1 / (z * (y / z))))) * a(x,K(y,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5265(a,1),12340(a,1,2,2))]. 12342 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = (x * (y * (1 / (z * (y / z))))) * 1. [para(4899(a,1),12341(a,1,2)),flip(a)]. 12344 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [hyper(285,a,13,a(flip),b,12342,a),flip(a)]. 12346 (x * K((y \ z) * y,1 / z)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(5083(a,1),12344(a,1,1,2,1))]. 12347 (x * K((y \ z) * y,z \ 1)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(4598(a,1),12346(a,1,1,2))]. 12348 (x * K(y,y \ 1)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [para(5265(a,1),12347(a,1,1,2))]. 12349 x / ((y \ 1) * (z * (y / z))) = x * (y * (1 / (z * (y / z)))). [hyper(66,a,7421,a(flip),b,12348,a)]. 12351 K((T(x \ y,y \ x) * (1 / (x \ y))) \ (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(6883(a,1),11348(a,1,1,1))]. 12352 K(((T(x \ y,y \ x) \ 1) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(11456(a,1),12351(a,1,1))]. 12353 K((T((x \ y) \ 1,x \ y) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(2501(a,2),12352(a,1,1,1,1))]. 12354 K((T(x \ y,y \ x) * (1 / (x \ y))) * (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(6883(a,1),12353(a,1,1,1))]. 12355 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2618(a,1),10666(a,2,1))]. 12356 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(11518(a,1),12355(a,2,1))]. 12357 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(12(a,1),12356(a,2,2,2))]. 12358 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(16(a,1),12357(a,2,2))]. 12359 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(285,a,5190,a,b,12358,a),flip(a)]. 12361 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(10664(a,1),12359(a,1,1,1,2,1)),flip(a)]. 12362 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(12(a,1),12361(a,2,1,1,2))]. 12364 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(16(a,1),12362(a,2,1,1))]. 12365 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12364(a,1),10665(a,1,2))]. 12366 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2498,a,12365,a)]. 12367 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11805,a,12366,a),flip(a)]. 12369 x * K(y \ L(y,z,u),a(u,z,y)) = x. [hyper(124,a,12367,a,b,79,a)]. 12370 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5349,a,12369,a)]. 12371 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12370(a,1),6769(a,1,2)),flip(a)]. 12372 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(180,a,12371,a)]. 12374 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(605(a,1),11242(a,1,1))]. 12375 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5166(a,1),12374(a,1,1,1,2))]. 12376 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(66,a,5945,a(flip),b,12375,a),flip(a)]. 12377 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2155(a,1),12376(a,1,1,2))]. 12378 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(838(a,1),12377(a,1,1,2,1,2))]. 12379 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1360(a,1),12378(a,1,1,2,1,2))]. 12380 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(209(a,1),12379(a,1,1,2))]. 12381 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(513,a,12380,a),flip(a)]. 12383 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6275,a,12381,a),flip(a)]. 12386 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(118(a,1),12381(a,2,1))]. 12387 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5334(a,2),12383(a,1,1))]. 12388 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(12383(a,1),7511(a,1,1))]. 12390 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(285,a,6322,a,b,12387,a)]. 12391 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(124,a,12386,a(flip),b,6204,a(flip))]. 12392 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(14(a,1),12391(a,1,2,1)),flip(a)]. 12393 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(6756,a,12392,a),flip(a)]. 12394 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6174,a,12392,a)]. 12395 R(x,y,K(x \ 1,z)) = x. [hyper(475,a,12392,a)]. 12397 R(x \ 1,y,K(x,z)) = x \ 1. [para(3341(a,1),12395(a,1,3))]. 12398 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(12397(a,1),112(a,1,1)),flip(a)]. 12400 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [hyper(66,a,6650,a(flip),b,12394,a)]. 12401 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4586(a,1),12394(a,1,1,1)),flip(a)]. 12402 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(12394(a,1),7399(a,1,1,2)),flip(a)]. 12403 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(509(a,1),12400(a,1,2))]. 12404 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(66,a,6107,a(flip),b,12401,a)]. 12405 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(113(a,1),12404(a,1,2))]. 12406 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(285,a,7399,a(flip),b,12402,a),flip(a)]. 12407 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4221(a,2),12406(a,2,2))]. 12409 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(12393(a,1),6637(a,1,1))]. 12410 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(6756,a,12398,a),flip(a)]. 12411 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,12398,a)]. 12412 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [hyper(224,a,12398,a,b,5360,a),flip(a)]. 12413 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(66,a,8735,a(flip),b,12411,a)]. 12414 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [hyper(66,a,6637,a(flip),b,12411,a)]. 12416 T(x,L(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12413,a(flip),b,5125,a(flip)),flip(a)]. 12418 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12416,a),flip(a)]. 12419 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(453(a,1),12418(a,1,2)),flip(a)]. 12420 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(66,a,9801,a,b,12405,a)]. 12421 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(606(a,1),12420(a,1,2,2))]. 12422 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5334(a,2),12390(a,1,1))]. 12423 K(x / K(y \ 1,z),y) = K(x,y). [hyper(37,a,8343,a,b,12422,a)]. 12424 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(37,a,5130,a(flip),b,12422,a)]. 12425 K(x * K(y \ 1,z),y) = K(x,y). [para(16(a,1),12423(a,1,1)),flip(a)]. 12426 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [para(12423(a,1),5344(a,1,2)),flip(a)]. 12427 K(x * K(y,z \ 1),z) = K(x,z). [para(7396(a,1),12423(a,1,1))]. 12428 K(x / T(y,z \ 1),z) = K(x / y,z). [para(7419(a,1),12423(a,1,1)),flip(a)]. 12431 K(K(x,y \ 1) * z,y) = K(z,y). [para(5334(a,1),12424(a,1,1))]. 12432 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5585(a,1),12424(a,1,1)),flip(a)]. 12433 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6468(a,1),12425(a,1,1,2))]. 12434 K(x * K(y,y \ z),y / z) = K(x,y / z). [para(5612(a,1),12427(a,1,1,2))]. 12435 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5818(a,1),12427(a,1,1))]. 12436 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5612(a,1),12431(a,1,1,1))]. 12439 K(x,y / K(x \ 1,z)) = K(x,y). [hyper(285,a,5344,a(flip),b,12426,a),flip(a)]. 12440 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3341(a,1),12439(a,1,2,2))]. 12441 K(x,y * K(z,x \ 1)) = K(x,y). [para(7396(a,1),12439(a,1,2))]. 12442 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6392(a,1),12441(a,1,2,2))]. 12443 K(x,K(x \ 1,y) * z) = K(x,z). [para(7723(a,1),12441(a,1,2)),flip(a)]. 12444 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(124,a,12443,a(flip),b,5125,a(flip)),flip(a)]. 12445 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5545(a,1),12443(a,1,2))]. 12446 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(6254(a,1),12443(a,1,2)),flip(a)]. 12447 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(11083,a,12428,a)]. 12449 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(7419(a,1),12440(a,1,2)),flip(a)]. 12450 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(285,a,5130,a,b,12444,a),flip(a)]. 12452 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(5545(a,1),12450(a,1,2))]. 12453 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5854(a,1),12450(a,1,2)),flip(a)]. 12456 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,(y * x) \ (x * z)). [hyper(66,a,9754,a(flip),b,12445,a)]. 12458 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6585(a,1),12433(a,1,1)),flip(a)]. 12459 K(x * (y / z),z / y) = K(x * (z \ y),z / y). [para(6523(a,1),12434(a,1,1))]. 12460 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5854(a,1),12436(a,1,1)),flip(a)]. 12461 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6523(a,1),12442(a,1,2))]. 12462 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5360(a,1),12446(a,1,2,2)),flip(a)]. 12464 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8573(a,1),12462(a,1,2,2))]. 12466 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(12447(a,2),11083(a,1))]. 12467 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((K(x * (L(z,u,w) \ y),L(z,u,w) / y) * L(z,u,w)) / y,z). [para(12459(a,1),10923(a,1,1,1,1)),flip(a)]. 12468 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(66,a,10701,a,b,12460,a)]. 12469 T(K(x \ y,z * (y \ x)),x) = K((x / y) \ 1,z * (x / y)). [para(12461(a,1),8067(a,1,1))]. 12470 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6603(a,1),12464(a,1,2,2)),flip(a)]. 12471 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(404(a,1),12403(a,2,2,1,2))]. 12472 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(66,a,6247,a(flip),b,12412,a),flip(a)]. 12473 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(5019,a,12472,a),flip(a)]. 12474 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(4760,a,12472,a),flip(a)]. 12475 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4941,a,12473,a),flip(a)]. 12477 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(10004(a,1),12474(a,2,2))]. 12478 T(x \ K(y,z),K(x,y)) = x \ K(y,z). [para(2227(a,1),12475(a,2,2))]. 12479 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(12475(a,2),10485(a,1,2))]. 12480 T(K(x,y) / z,T(z,x)) = z \ K(x,y). [hyper(10093,a,12478,a)]. 12481 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(12256(a,2),12479(a,1,2))]. 12482 K(x,(y * z) \ T(z,u)) = T(K(x,y \ K(z,u)),z). [para(12480(a,1),10823(a,1,1,2)),flip(a)]. 12483 T(K(x,(y / z) \ K(z,u)),z) = K(x,y \ T(z,u)). [para(17(a,1),12482(a,1,2,1)),flip(a)]. 12484 K(x,T(y / z,z) \ K(z,u)) = K(x,y \ T(z,u)). [hyper(66,a,9550,a,b,12483,a)]. 12485 K(x,(y * z) \ T(y,u)) = K(x,z \ K(y,u)). [para(208(a,1),12484(a,1,2,1)),flip(a)]. 12486 K((x * y) \ T(x,z),u) = (u \ 1) / (u \ K(u,y \ K(x,z))). [para(12485(a,1),5633(a,1,2,2)),flip(a)]. 12487 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(66,a,12449,a(flip),b,12421,a)]. 12488 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(66,a,8686,a(flip),b,12487,a),flip(a)]. 12489 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(12488(a,1),6101(a,1,1))]. 12490 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ (x \ (x * z))). [hyper(285,a,9451,a(flip),b,12456,a),flip(a)]. 12491 K((x / y) \ 1,z * (x / y)) = K(y / x,z * (y \ x)). [hyper(10968,a,12469,a),flip(a)]. 12492 K(x / y,z * (y / x)) = K(x / y,z * (x \ y)). [hyper(10990,a,12491,a)]. 12493 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(12470(a,1),8377(a,1,1))]. 12494 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(66,a,11241,a,b,12477,a)]. 12495 K((x * y) \ T(x,z),u) = K(y \ K(x,z),u). [hyper(285,a,5633,a(flip),b,12486,a),flip(a)]. 12496 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(15(a,1),12495(a,1,1,1)),flip(a)]. 12497 K(T(x / y,T(y,x)) \ K(y,z),u) = K(x \ T(y,z),u). [para(3981(a,2),12496(a,1,1,1))]. 12498 T(K((x / y) \ K(y,z),u),T(y,x)) = K(x \ T(y,z),u). [hyper(66,a,8981,a(flip),b,12497,a)]. 12499 T(K(x \ T(y,z),u),T(y,x)) = K((x / y) \ K(y,z),u). [hyper(7987,a,12498,a)]. 12500 K((x / y) \ K(y,z),u) = T(K(x \ T(y,z),u),y). [hyper(66,a,10062,a(flip),b,12499,a),flip(a)]. 12501 K((x / y) \ K(y,z),u) = K(x \ T(y,z),T(u,y)). [hyper(285,a,7681,a,b,12500,a),flip(a)]. 12502 K((x / L(y,z,u)) \ K(L(y,z,u),w),(v5 * y) / v5) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(637(a,1),12501(a,2,2))]. 12503 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ z). [para(14(a,1),12490(a,2,2,2))]. 12504 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(14(a,1),12503(a,1,2,1,1)),flip(a)]. 12505 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(8428,a,12493,a)]. 12506 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(10942,a,12505,a),flip(a)]. 12508 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(10753,a,12388,a),flip(a)]. 12509 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(6275,a,12508,a),flip(a)]. 12513 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12508(a,2,2))]. 12514 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(285,a,12338,a(flip),b,12509,a),flip(a)]. 12516 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12513(a,1,1,2))]. 12517 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6275,a,12516,a),flip(a)]. 12518 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(30(a,2),12517(a,2,2))]. 12519 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(12517(a,2),6239(a,1,2))]. 12520 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(263,a,12519,a)]. 12521 R(K(x,y),z,x \ 1) = K(x,y). [hyper(475,a,12520,a)]. 12522 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(11080,a,12521,a)]. 12523 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [hyper(124,a,12522,a(flip),b,5805,a),flip(a)]. 12524 T(x,R(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12522,a(flip),b,5125,a(flip)),flip(a)]. 12526 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12524,a),flip(a)]. 12527 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(706(a,1),12526(a,1,2))]. 12528 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(285,a,3195,a(flip),b,12523,a),flip(a)]. 12529 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(122,a,12528,a,b,4428,a)]. 12530 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(66,a,10686,a(flip),b,12527,a)]. 12531 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(86(a,1),12530(a,1,2,2))]. 12532 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(118(a,1),12531(a,1,2)),flip(a)]. 12533 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(285,a,10694,a(flip),b,12532,a),flip(a)]. 12534 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(66,a,12453,a(flip),b,12533,a)]. 12535 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(66,a,12419,a(flip),b,12534,a)]. 12536 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(27(a,2),12534(a,1,2,1)),flip(a)]. 12537 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(12535(a,1),8359(a,1,1,2))]. 12538 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(66,a,9626,a(flip),b,12536,a)]. 12539 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(285,a,12452,a(flip),b,12538,a),flip(a)]. 12540 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(66,a,9607,a(flip),b,12539,a)]. 12541 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(657(a,1),12529(a,2,2))]. 12542 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5382(a,1),12541(a,1,2)),flip(a)]. 12543 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(12542(a,1),8608(a,1,2,1))]. 12544 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(66,a,9104,a(flip),b,12543,a)]. 12545 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(8364,a,12537,a),flip(a)]. 12546 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(122,a,12545,a(flip),b,5130,a(flip)),flip(a)]. 12547 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(285,a,5125,a,b,12546,a),flip(a)]. 12548 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(66,a,10804,a(flip),b,12547,a),flip(a)]. 12549 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(14(a,1),12548(a,1,2,1,2)),flip(a)]. 12550 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(242(a,1),12549(a,1,2,1,2))]. 12551 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3645(a,1),12407(a,1,2,1))]. 12552 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(66,a,5949,a(flip),b,12551,a)]. 12553 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(90(a,1),12552(a,2,2,1,2))]. 12554 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(79(a,1),12553(a,2,2,1))]. 12556 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(186(a,1),12554(a,2,2,2))]. 12557 L(K(x,y),z,y \ 1) = K(x,y). [para(12(a,1),12556(a,2,2))]. 12561 K(L(x,y,z \ 1),z) = K(x,z). [hyper(66,a,8726,a(flip),b,12557,a)]. 12562 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,6664,a(flip),b,12557,a)]. 12563 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [hyper(124,a,12557,a(flip),b,7068,a(flip))]. 12565 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(789(a,1),12561(a,1,1))]. 12566 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8015(a,1),12563(a,1,2)),flip(a)]. 12567 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,10689,a(flip),b,12562,a)]. 12568 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(285,a,12435,a(flip),b,12567,a),flip(a)]. 12569 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,12568,a)]. 12570 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(66,a,11303,a(flip),b,12569,a),flip(a)]. 12571 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(66,a,8626,a(flip),b,12569,a)]. 12572 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(116(a,1),12569(a,1,1,1)),flip(a)]. 12573 K(L(x,y,y \ 1) \ z,y) = K(x \ (y \ (z * y)),y). [hyper(285,a,9347,a(flip),b,12571,a),flip(a)]. 12574 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(285,a,8199,a(flip),b,12573,a),flip(a)]. 12575 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12574(a,1),5722(a,1,2,1,2))]. 12576 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(10953,a,12570,a)]. 12577 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(11084,a,12576,a),flip(a)]. 12579 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(116(a,1),12577(a,1,1,2)),flip(a)]. 12580 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(66,a,12432,a(flip),b,12572,a),flip(a)]. 12581 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(66,a,9123,a,b,12580,a)]. 12582 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(12581(a,1),11114(a,1,1))]. 12583 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(11321(a,1),12581(a,2,1,2,1))]. 12584 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(12466,a,12579,a),flip(a)]. 12585 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(66,a,11169,a,b,12584,a)]. 12586 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(285,a,12106,a(flip),b,12585,a),flip(a)]. 12587 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6120(a,2),12586(a,1,1))]. 12588 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(11000,a,12565,a)]. 12589 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5464,a,12582,a)]. 12590 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(38,a,11111,a,b,12589,a)]. 12591 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6626(a,2),12590(a,1,1))]. 12592 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(7270(a,1),12590(a,2,2,2,1))]. 12593 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(267(a,1),12591(a,2,2))]. 12594 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(285,a,6658,a(flip),b,12593,a),flip(a)]. 12596 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8015(a,1),12566(a,1,2,2)),flip(a)]. 12597 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5865,a,12575,a),flip(a)]. 12598 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2958(a,1),12597(a,1,1,1))]. 12599 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(66,a,6705,a(flip),b,12598,a)]. 12600 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(285,a,9402,a(flip),b,12599,a),flip(a)]. 12601 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(66,a,12588,a(flip),b,12600,a),flip(a)]. 12602 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(10953,a,12601,a),flip(a)]. 12603 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(285,a,12107,a(flip),b,12602,a),flip(a)]. 12604 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(14(a,1),12603(a,1,1,1)),flip(a)]. 12605 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(66,a,12109,a(flip),b,12604,a)]. 12606 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(16(a,1),12604(a,1,1,1)),flip(a)]. 12607 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(4597,a,12606,a)]. 12608 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8940,a,12607,a)]. 12610 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3062(a,2),12608(a,1,1,2))]. 12611 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(66,a,8937,a(flip),b,12610,a)]. 12613 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(66,a,9634,a(flip),b,12611,a)]. 12615 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,11915,a(flip),b,12613,a),flip(a)]. 12616 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8455,a,12615,a),flip(a)]. 12618 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(285,a,9355,a(flip),b,12616,a),flip(a)]. 12619 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(66,a,11731,a,b,12618,a)]. 12621 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12619(a,1),6963(a,1,1,1))]. 12622 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(66,a,9379,a(flip),b,12621,a),flip(a)]. 12624 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(17(a,1),12622(a,1,3,2)),flip(a)]. 12625 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,5977,a(flip),b,12409,a)]. 12626 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(66,a,5969,a(flip),b,12489,a)]. 12627 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(7396(a,1),12494(a,1,1,2))]. 12628 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(66,a,12229,a(flip),b,12626,a)]. 12629 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(7587(a,1),12627(a,1,1))]. 12631 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(12629(a,1),6129(a,1))]. 12633 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(489(a,1),12628(a,1,2,1)),flip(a)]. 12634 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(66,a,12550,a(flip),b,12471,a),flip(a)]. 12635 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(285,a,12403,a(flip),b,12634,a),flip(a)]. 12636 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(66,a,11501,a(flip),b,12635,a),flip(a)]. 12637 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(9881,a,12636,a)]. 12638 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(10958,a,12637,a)]. 12639 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(66,a,12414,a,b,12638,a)]. 12640 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(66,a,12504,a(flip),b,12639,a)]. 12641 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(66,a,9785,a(flip),b,12639,a),flip(a)]. 12642 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(15(a,1),12639(a,1,2,1)),flip(a)]. 12643 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(66,a,12410,a(flip),b,12642,a)]. 12644 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(66,a,10508,a(flip),b,12643,a)]. 12645 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(11218,a,12644,a),flip(a)]. 12646 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(66,a,7197,a(flip),b,12644,a),flip(a)]. 12647 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(90(a,1),12644(a,1,2,2,1)),flip(a)]. 12648 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(10954,a,12641,a)]. 12649 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(66,a,9591,a(flip),b,12648,a),flip(a)]. 12651 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(66,a,8020,a(flip),b,12649,a),flip(a)]. 12652 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(66,a,9792,a(flip),b,12645,a)]. 12654 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,12652,a),flip(a)]. 12655 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,9862,a(flip),b,12654,a),flip(a)]. 12656 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(12646(a,1),9651(a,2,1))]. 12657 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(9661,a,12647,a),flip(a)]. 12659 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(12657(a,1),5766(a,1))]. 12660 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8680,a(flip),b,12655,a)]. 12661 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(285,a,12413,a(flip),b,12660,a),flip(a)]. 12663 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(17(a,1),12661(a,1,2,1))]. 12664 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(66,a,8680,a,b,12663,a)]. 12665 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(15(a,1),12664(a,1,2,2,1)),flip(a)]. 12666 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(12665(a,1),6101(a,1,1))]. 12667 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(285,a,3344,a(flip),b,12651,a),flip(a)]. 12668 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(66,a,10856,a(flip),b,12667,a)]. 12669 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(285,a,9021,a,b,12668,a)]. 12670 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(66,a,6101,a(flip),b,12666,a),flip(a)]. 12671 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,7200,a(flip),b,12670,a),flip(a)]. 12672 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9111(a,1),12669(a,1,1))]. 12673 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(15(a,1),12672(a,2,2,1,2,1))]. 12674 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(285,a,7169,a,b,12673,a)]. 12676 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [hyper(124,a,12674,a(flip),b,5125,a(flip)),flip(a)]. 12677 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(285,a,5977,a(flip),b,12656,a),flip(a)]. 12678 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(66,a,7157,a(flip),b,12677,a)]. 12679 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(66,a,12287,a(flip),b,12678,a),flip(a)]. 12680 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,12625,a(flip),b,12679,a),flip(a)]. 12681 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(453(a,1),12680(a,1,2,1))]. 12683 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(12681(a,1),12659(a,1))]. 12684 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4409(a,1),12583(a,2,1,2))]. 12685 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4548(a,1),12592(a,2,2))]. 12686 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(285,a,6678,a(flip),b,12685,a),flip(a)]. 12687 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(5540(a,1),12684(a,2,1))]. 12688 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(285,a,6666,a(flip),b,12687,a),flip(a)]. 12690 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(15(a,1),12514(a,1,1)),flip(a)]. 12691 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(38,a,4932,a(flip),b,12690,a),flip(a)]. 12693 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(12691(a,1),6887(a,1,2,2,2))]. 12694 K((x / L(y,z,u)) \ K(L(y,z,u),w),T(y,v5)) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [hyper(8430,a,12502,a)]. 12695 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K((x / L(y,z,u)) \ 1,T(y,v5)). [hyper(66,a,8588,a(flip),b,12694,a),flip(a)]. 12697 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(L(y,z,u) / x,T(y,v5)). [hyper(285,a,5830,a(flip),b,12695,a),flip(a)]. 12698 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(x \ L(y,z,u),T(y,v5)). [hyper(285,a,7745,a(flip),b,12697,a),flip(a)]. 12699 K(x \ L(T(y,z),u,w),(v5 * y) / v5) = K(x \ L(y,u,w),T(y,v5)). [para(30(a,2),12698(a,1,1,2))]. 12700 K(x \ L(T(y,z),u,w),T(y,v5)) = K(x \ L(y,u,w),T(y,v5)). [hyper(8430,a,12699,a)]. 12701 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x * y)). [hyper(66,a,11827,a,b,12700,a)]. 12702 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(15(a,1),12693(a,1,2,2)),flip(a)]. 12703 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(285,a,5688,a(flip),b,12702,a),flip(a)]. 12705 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(6123(a,1),12703(a,1,2,2,2))]. 12706 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(66,a,7202,a(flip),b,12705,a)]. 12707 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(6565(a,1),12706(a,1,2,2))]. 12708 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(285,a,12670,a(flip),b,12707,a),flip(a)]. 12709 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(5767,a,12708,a)]. 12710 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(66,a,7265,a(flip),b,12708,a),flip(a)]. 12711 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,12671,a(flip),b,12710,a),flip(a)]. 12712 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(285,a,12633,a(flip),b,12711,a),flip(a)]. 12713 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(66,a,12709,a(flip),b,12712,a),flip(a)]. 12714 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(9881,a,12713,a)]. 12715 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(66,a,8683,a(flip),b,12714,a)]. 12716 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,8679,a(flip),b,12715,a),flip(a)]. 12717 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(116(a,1),12715(a,1,2,2)),flip(a)]. 12718 K(x,R(y / (z * u),z * u,x)) = K(x,(y * x) / ((z * x) * u)). [para(113(a,2),12715(a,1,2))]. 12719 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(66,a,10721,a(flip),b,12716,a),flip(a)]. 12720 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,9577,a(flip),b,12716,a)]. 12721 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(124,a,12720,a(flip),b,5125,a(flip))]. 12722 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(12720(a,1),5633(a,1,2,2))]. 12723 K(x,(y * x) / ((z * x) * u)) = K(x,y / (z * u)). [hyper(66,a,9089,a(flip),b,12718,a),flip(a)]. 12725 K(x,(((y * x) * z) / u) \ x) = K(x,u / (y * z)). [hyper(66,a,10854,a(flip),b,12723,a)]. 12726 K(x,y / ((1 / x) * z)) = K(x,(z / y) \ x). [para(88(a,1),12725(a,1,2,1,1)),flip(a)]. 12727 K(x,y / ((1 / x) * (z * x))) = K(x,y / z). [hyper(285,a,10862,a(flip),b,12726,a),flip(a)]. 12728 K(x,y / ((1 / x) * (x / z))) = K(x,y / (z \ 1)). [hyper(66,a,7263,a(flip),b,12727,a)]. 12729 K(x,((x / y) / z) \ x) = K(x,z / (y \ 1)). [hyper(66,a,12726,a(flip),b,12728,a)]. 12730 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (((y \ 1) * x) \ 1)). [para(200(a,2),12729(a,1,2,1,1))]. 12731 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(15(a,1),12719(a,1,2,2,2)),flip(a)]. 12732 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(25(a,2),12731(a,2,2))]. 12734 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10718,a,12732,a)]. 12735 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,R(z,y,T(x,z * y))). [hyper(66,a,10723,a,b,12732,a)]. 12736 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [hyper(66,a,11736,a(flip),b,12732,a)]. 12737 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [hyper(66,a,10717,a(flip),b,12732,a),flip(a)]. 12738 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(12732(a,1),30(a,2,1))]. 12739 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(12734(a,1),476(a,1,1))]. 12740 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [hyper(285,a,9021,a,b,12736,a)]. 12741 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [hyper(66,a,12228,a(flip),b,12737,a),flip(a)]. 12742 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(285,a,12740,a(flip),b,12741,a),flip(a)]. 12743 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(12742(a,1),10597(a,1,2))]. 12744 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(285,a,7681,a,b,12738,a),flip(a)]. 12745 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(32(a,2),12744(a,2,2))]. 12746 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(7681(a,2),12745(a,1,1))]. 12747 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(285,a,8622,a(flip),b,12746,a),flip(a)]. 12748 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(66,a,6813,a(flip),b,12739,a),flip(a)]. 12749 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5274(a,1),12748(a,2,1))]. 12750 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(66,a,9681,a(flip),b,12749,a)]. 12752 L(x,K(y,z),z * y) = x. [hyper(766,a,12750,a)]. 12753 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(513,a,12750,a)]. 12754 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(122,a,5130,a,b,12750,a)]. 12756 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(122,a,15,a(flip),b,12750,a),flip(a)]. 12757 L(x,K(y \ z,y),z) = x. [para(15(a,1),12752(a,1,3))]. 12758 L(x,K(y,y \ z),z) = x. [para(5612(a,1),12757(a,1,2))]. 12759 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(66,a,6278,a(flip),b,12758,a)]. 12760 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [hyper(124,a,12756,a(flip),b,5544,a)]. 12762 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(7884(a,2),12756(a,1,1))]. 12764 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(12631,a,12753,a)]. 12765 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(37,a,11579,a,b,12753,a)]. 12768 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(15(a,1),12759(a,1,2)),flip(a)]. 12769 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(12760(a,1),12312(a,2,1,1))]. 12770 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),12765(a,1,2)),flip(a)]. 12771 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(12768(a,1),12753(a,1,2)),flip(a)]. 12773 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(66,a,11862,a(flip),b,12754,a),flip(a)]. 12774 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7409,a,12773,a)]. 12775 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5452,a,12773,a)]. 12776 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(2236,a,12773,a)]. 12777 x \ R(x,y,x) = a(x,y,x). [hyper(66,a,5764,a(flip),b,12773,a)]. 12778 x * a(x,y,x) = R(x,y,x). [hyper(124,a,12773,a(flip),b,5764,a(flip))]. 12780 K(x,x * y) * a(x,y,x) = K(x,y). [para(12773(a,1),5445(a,1,2))]. 12781 T(x * y,x) / x = y * a(x,y,x). [para(12773(a,1),7477(a,1,2)),flip(a)]. 12782 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12773(a,1),11094(a,1,2))]. 12783 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12773(a,1),11055(a,2,2))]. 12784 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12773(a,1),11942(a,1,1)),flip(a)]. 12785 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(12773(a,1),11945(a,1,1)),flip(a)]. 12786 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12773(a,1),11966(a,1,1)),flip(a)]. 12787 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(66,a,9211,a,b,12777,a)]. 12788 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(66,a,8802,a(flip),b,12777,a),flip(a)]. 12789 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(124,a,12777,a(flip),b,12213,a),flip(a)]. 12791 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12777(a,1),9709(a,1,3))]. 12792 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12778(a,1),304(a,1,2)),flip(b)]. 12793 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12778(a,1),113(a,2,2)),flip(a)]. 12795 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12791(a,1),394(a,1,1)),flip(a)]. 12796 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(15(a,1),12774(a,1,2,2))]. 12797 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (R(a(z,u,z),K(z,z * u),y * x) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(12774(a,1),1191(a,1,2,1)),flip(a)]. 12799 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7409,a,12776,a)]. 12801 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(15(a,1),12780(a,1,1,2))]. 12802 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(12780(a,1),5453(a,1,2)),flip(b)]. 12803 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(66,a,1656,a,b,12781,a)]. 12804 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12781(a,1),118(a,1,1))]. 12805 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12781(a,2),215(a,1,2,2))]. 12807 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12781(a,2),441(a,1,2,2))]. 12808 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12781(a,2),769(a,1,2,2,2))]. 12809 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12781(a,2),7642(a,1,2,1)),flip(a)]. 12810 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(285,a,5785,a,b,12799,a),flip(a)]. 12811 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12799(a,1),1191(a,1,2,1))]. 12812 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6764(a,1),12799(a,2,1))]. 12813 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(8244(a,1),12799(a,1,2))]. 12814 a(x,y,x) \ x = L(x,y,x). [hyper(10928,a,12782,a(flip))]. 12815 (x * y) / L(y,z,y) = x * a(y,z,y). [para(16(a,1),12782(a,1,1)),flip(a)]. 12816 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9688,a,12788,a)]. 12818 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12816(a,2),12792(a,1))]. 12819 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(66,a,9363,a(flip),b,12789,a)]. 12820 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(66,a,9207,a(flip),b,12789,a)]. 12821 x * (y * a(x,z,x)) = R(x,z,x) * y. [hyper(124,a,12789,a(flip),b,1148,a)]. 12822 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(123,a,12789,a(flip),b,9207,a(flip))]. 12823 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(14(a,1),12789(a,1,2)),flip(a)]. 12824 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5527(a,1),12789(a,1,2))]. 12825 R(x,y,x) * (K(x,z) * (x \ u)) = K(x,z) * (u * a(x,y,x)). [para(12789(a,1),6263(a,2,2))]. 12826 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12789(a,1),9362(a,1,1))]. 12827 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(12815(a,1),11613(a,1,2))]. 12828 R(x,y,x) / x = a(x,y,x). [hyper(121,a,12820,a(flip),b,1621,a(flip)),flip(a)]. 12829 (x * y) * a(y,z,y) = x * R(y,z,y). [para(16(a,1),12820(a,1,1)),flip(a)]. 12830 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(12820(a,2),46(a,1))]. 12832 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1581(a,1),12820(a,1,1))]. 12833 a(x,y,x) * x = R(x,y,x). [hyper(136,a,12828,a)]. 12834 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12828(a,1),11438(a,1,1)),flip(a)]. 12836 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12821(a,1),447(a,1,2))]. 12837 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(128,a,12823,a)]. 12839 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(128,a,12827,a)]. 12840 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(122,a,15,a(flip),b,12827,a),flip(a)]. 12841 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(17(a,1),12827(a,1,2)),flip(a)]. 12842 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(128,a,12829,a)]. 12844 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12829(a,1),447(a,1,2,2))]. 12845 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12829(a,1),5812(a,1,1,1,1)),flip(a)]. 12847 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(66,a,1245,a(flip),b,12839,a)]. 12848 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(37,a,1243,a,b,12841,a)]. 12849 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(285,a,12837,a,b,12842,a)]. 12850 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(122,a,12,a(flip),b,12847,a),flip(a)]. 12851 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(66,a,10916,a,b,12847,a)]. 12852 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8961(a,1),12847(a,1,2,1))]. 12853 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12850(a,1),7023(a,1,1,2))]. 12854 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(122,a,12848,a(flip),b,9205,a(flip))]. 12856 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10743,a,12784,a),flip(a)]. 12857 a(x,y,x) * z = z * a(x,y,x). [hyper(66,a,12783,a(flip),b,12784,a),flip(a)]. 12858 T(x,a(y,z,y)) = x. [hyper(224,a,12783,a(flip),b,12784,a(flip))]. 12859 T(a(x,y,x),z) = a(x,y,x). [hyper(224,a,12784,a(flip),b,12783,a(flip))]. 12861 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5785(a,2),12784(a,1,1))]. 12862 x / a(y,z,y) = a(y,z,y) \ x. [hyper(630,a,12858,a),flip(a)]. 12863 K(x,a(y,z,y)) = 1. [hyper(58,a,12858,a)]. 12865 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12858(a,1),226(a,1,2)),flip(b)]. 12867 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12858(a,1),630(a,1))]. 12868 x * K(y,a(z,u,z)) != w | x = w. [para(12863(a,2),133(a,1,2))]. 12869 T(a(x,y,x),z) = T(a(x,y,x),u). [hyper(285,a,12859,a,b,12859,a)]. 12870 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(285,a,12777,a,b,12859,a),flip(a)]. 12871 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12859(a,1),223(a,1,2,1)),flip(a)]. 12873 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(285,a,12823,a(flip),b,12857,a),flip(a)]. 12874 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12862(a,1),12854(a,1,2))]. 12876 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3532(a,1),12870(a,2,2))]. 12880 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12873(a,1),479(a,1,1,1))]. 12882 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(15(a,1),12785(a,1,2,1,1))]. 12883 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6626(a,2),12786(a,1,2,1))]. 12884 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4427(a,1),12861(a,1,2))]. 12885 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(66,a,11943,a(flip),b,12883,a)]. 12886 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(133,a,12885,a),flip(a)]. 12888 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12886(a,2),12885(a,1,1))]. 12889 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(122,a,14,a(flip),b,12888,a)]. 12890 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(285,a,12857,a(flip),b,12889,a),flip(a)]. 12891 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12886(a,1),12890(a,1,1))]. 12892 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(66,a,12765,a(flip),b,12771,a),flip(a)]. 12894 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [hyper(122,a,5671,a(flip),b,12892,a),flip(a)]. 12895 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(37,a,5360,a(flip),b,12892,a),flip(a)]. 12896 L(x,y,K(z,z \ y)) = x. [hyper(5569,a,12895,a)]. 12898 L(x,y * z,K(z,y)) = x. [para(5336(a,1),12896(a,1,3))]. 12899 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(66,a,4624,a(flip),b,12898,a)]. 12900 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(66,a,6157,a,b,12899,a),flip(a)]. 12905 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(185,a,12900,a(flip))]. 12907 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12795(a,1),12804(a,1,1))]. 12908 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [hyper(124,a,12851,a(flip),b,5534,a)]. 12909 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12851(a,2),46(a,1))]. 12910 T(x,R(a(y,z,y),u,w)) = x. [hyper(228,a,12871,a)]. 12911 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(38,a,12770,a,b,12764,a),flip(a)]. 12914 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12882(a,1),5563(a,1,2))]. 12915 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(12907(a,1),1799(a,1,1)),flip(a)]. 12916 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(12762(a,1),8276(a,1,2,2))]. 12917 R(x / y,y,a(y,z,y)) = x / y. [hyper(66,a,12822,a(flip),b,12793,a),flip(a)]. 12919 R((x * y) / y,y,a(y,z,y)) = x. [hyper(285,a,16,a(flip),b,12917,a),flip(a)]. 12920 R(x,y,a(y,z,y)) = x. [para(16(a,1),12919(a,1,1))]. 12923 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12920(a,1),663(a,1,1,1)),flip(a)]. 12924 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12836,a,12849,a)]. 12926 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(285,a,154,a(flip),b,12924,a),flip(a)]. 12927 L(a(x,y,x),z,x) = (u * T(x,w)) \ ((u * K(x,w)) * R(x,y,x)). [para(6311(a,1),12924(a,2,1))]. 12928 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(66,a,10367,a(flip),b,12853,a)]. 12929 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(285,a,9095,a(flip),b,12928,a),flip(a)]. 12932 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(66,a,7018,a(flip),b,12929,a)]. 12933 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(12932(a,1),112(a,1,1)),flip(a)]. 12934 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12820(a,2),12908(a,1,2))]. 12935 (a(x,y,x) * K(x,z)) * u = K(x,z) * (a(x,y,x) * u). [para(10244(a,1),12933(a,1,1))]. 12936 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(285,a,10023,a,b,12914,a),flip(a)]. 12937 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12781(a,1),12803(a,1,1)),flip(a)]. 12938 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(66,a,12857,a,b,12937,a)]. 12939 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * (y \ T(x,K(y,z))))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [hyper(122,a,12825,a,b,446,a)]. 12940 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12909,a,12852,a),flip(a)]. 12942 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12624(a,1),12876(a,2,2))]. 12943 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,9706,a(flip),b,12934,a)]. 12944 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(66,a,12824,a(flip),b,12943,a)]. 12945 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12943(a,1),9414(a,1,2))]. 12946 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,12857,a,b,12944,a)]. 12947 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * (K(x,w) * R(x,y,x))). [para(6338(a,1),12927(a,2,2))]. 12948 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * R(T(x,w),y,x)). [para(9210(a,1),12947(a,2,2,2))]. 12949 (x * T(y,z)) \ (x * R(T(y,z),u,y)) = a(y,u,y). [hyper(4902,a,12948,a)]. 12950 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = a(y,u,y). [para(6321(a,1),12949(a,1,1))]. 12951 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5667,a,12722,a),flip(a)]. 12952 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(7550,a,12951,a),flip(a)]. 12953 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(66,a,8664,a,b,12952,a)]. 12954 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(15(a,1),12952(a,1,1,2,2))]. 12955 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(17(a,1),12953(a,1,1,2,1)),flip(a)]. 12956 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(6026(a,1),12954(a,1,1,1))]. 12957 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(15(a,1),12747(a,1,3)),flip(a)]. 12958 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(12957(a,1),12320(a,1,2))]. 12959 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(285,a,12955,a(flip),b,12956,a),flip(a)]. 12960 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(66,a,5923,a,b,12959,a)]. 12961 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(11695,a,12958,a),flip(a)]. 12962 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(285,a,12911,a(flip),b,12961,a),flip(a)]. 12964 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(66,a,10573,a(flip),b,12962,a)]. 12965 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(66,a,12960,a(flip),b,12964,a)]. 12966 K(R(x,y,z),y) = K(y \ (y * x),y). [para(14(a,1),12964(a,1,1,1))]. 12967 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(285,a,12966,a,b,12966,a)]. 12969 K(R(x,y,z),y) = K(x,y). [hyper(285,a,625,a(flip),b,12966,a),flip(a)]. 12970 K(R(x,y,z),y) != u | K(x,y) = u. [para(12966(a,2),10996(a,1))]. 12971 K(x,R(y,x,z)) = K(x,y). [hyper(11081,a,12969,a)]. 12974 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9024,a(flip),b,12969,a)]. 12978 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(66,a,12736,a,b,12971,a)]. 12979 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(66,a,8980,a(flip),b,12971,a)]. 12982 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12971(a,1),12262(a,1,2,2))]. 12992 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(12967(a,1),9023(a,1,2)),flip(a)]. 12995 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(9860(a,1),12970(a,1))]. 12998 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(12978(a,1),12743(a,1,2)),flip(a)]. 12999 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(66,a,12605,a,b,12965,a)]. 13000 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(66,a,11197,a,b,12965,a)]. 13001 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(66,a,9603,a,b,12965,a)]. 13002 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(66,a,12953,a(flip),b,12965,a),flip(a)]. 13004 K(x,L(T(x \ y,z),x,z)) = K(x,x \ ((z * y) / z)). [hyper(66,a,9907,a,b,12979,a)]. 13005 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(66,a,9593,a,b,12979,a)]. 13006 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(66,a,8679,a(flip),b,12979,a)]. 13007 T(x,R(y,x,z)) = T(x,y). [hyper(285,a,9083,a(flip),b,12992,a),flip(a)]. 13011 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(494(a,1),13007(a,1,2))]. 13012 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(13007(a,1),9027(a,1,1))]. 13013 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(13001(a,1),7790(a,1,1))]. 13014 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(14(a,1),13005(a,1,2,1)),flip(a)]. 13015 K(x \ y,((y / x) \ z) / u) = K(x \ y,(x \ y) \ (z / u)). [hyper(66,a,10305,a,b,13006,a)]. 13016 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(13006(a,1),12721(a,1,2))]. 13017 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(7552,a,12974,a)]. 13018 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11563(a,2),12995(a,1))]. 13020 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(12999(a,1),6115(a,1,1,1,1,2))]. 13021 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(13000(a,1),5805(a,1,2,1,2)),flip(a)]. 13022 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(13002(a,1),10130(a,1,2)),flip(a)]. 13023 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(66,a,10725,a(flip),b,13012,a)]. 13024 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5379(a,1),13012(a,2,2))]. 13027 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7726,a,13013,a)]. 13028 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(66,a,10470,a(flip),b,13027,a)]. 13029 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(13028(a,1),7399(a,1,1,2)),flip(a)]. 13030 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5180,a,13016,a),flip(a)]. 13031 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(285,a,7399,a(flip),b,13029,a),flip(a)]. 13032 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(8426,a,13031,a)]. 13033 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(87(a,1),13032(a,1,2,1,2)),flip(a)]. 13034 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(66,a,9457,a,b,13033,a)]. 13035 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(12971(a,1),13017(a,1,1))]. 13037 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ ((x * z) / x)). [hyper(66,a,9455,a,b,13015,a)]. 13038 K(x \ y,(x \ y) \ (y / z)) = K(x \ y,x / z). [para(90(a,1),13015(a,1,2,1)),flip(a)]. 13039 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(66,a,10647,a(flip),b,13023,a),flip(a)]. 13040 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(285,a,10502,a(flip),b,13022,a),flip(a)]. 13042 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(285,a,12971,a(flip),b,12735,a),flip(a)]. 13044 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(66,a,9915,a(flip),b,13042,a)]. 13045 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3831(a,2),13044(a,1,2,1,2))]. 13046 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(15(a,1),12894(a,1,2,1,2))]. 13047 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(66,a,11156,a(flip),b,13046,a),flip(a)]. 13048 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12926(a,2,2))]. 13049 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(12073(a,1),13047(a,1,2))]. 13050 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [hyper(138,a,13049,a),flip(a)]. 13051 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(10021(a,1),12805(a,1,2,2))]. 13052 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(122,a,12936,a(flip),b,103,a)]. 13053 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5666,a,12945,a),flip(a)]. 13054 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(116(a,1),13051(a,1,2)),flip(a)]. 13055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(66,a,32,a,b,13011,a)]. 13056 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4814(a,1),13034(a,2,2))]. 13057 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(285,a,4123,a(flip),b,13055,a),flip(a)]. 13058 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(285,a,10437,a(flip),b,13056,a),flip(a)]. 13059 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(285,a,10067,a(flip),b,13058,a),flip(a)]. 13060 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(285,a,32,a,b,13057,a),flip(a)]. 13061 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13030(a,1),13060(a,1,1))]. 13062 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(16(a,1),13061(a,1,1,2,2)),flip(a)]. 13063 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(54,a,13062,a)]. 13064 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(13062(a,1),332(a,1,2))]. 13065 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(13062(a,1),5643(a,1,2,1))]. 13066 T(x,x \ R(x,y,z)) = x. [hyper(192,a,13063,a),flip(a)]. 13068 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(124,a,13066,a(flip),b,117,a(flip))]. 13069 R(x,y,z) / x = x \ R(x,y,z). [para(13066(a,1),249(a,1,2))]. 13070 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(13066(a,1),5137(a,1,1,1)),flip(a)]. 13071 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(13066(a,1),5179(a,1,2,1)),flip(a)]. 13072 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12787(a,1),13068(a,1,1))]. 13073 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(13069(a,1),493(a,1,1))]. 13074 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(13069(a,1),9343(a,1,1))]. 13075 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(13069(a,1),11807(a,1,2,2))]. 13076 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7453(a,1),13072(a,1,2)),flip(a)]. 13079 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(597(a,1),13064(a,1,2,1))]. 13081 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(180,a,13079,a)]. 13083 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(87(a,1),13081(a,1,1,1,1)),flip(a)]. 13084 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(13081(a,1),9680(a,1,2,1)),flip(a)]. 13086 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5806(a,1),13083(a,2,1))]. 13087 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(7514(a,1),13083(a,1,1)),flip(a)]. 13088 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(66,a,8918,a,b,13087,a)]. 13089 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6133(a,1),13087(a,1,1))]. 13090 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7681(a,2),13088(a,2,1))]. 13091 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(112(a,1),13089(a,1,1))]. 13093 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(13070(a,2),306(a,1))]. 13095 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(285,a,79,a(flip),b,13071,a),flip(a)]. 13097 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(13095(a,1),8316(a,1,1,2))]. 13098 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7681(a,2),13091(a,2,1))]. 13099 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8330(a,1),13098(a,2,1))]. 13100 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5334(a,1),13073(a,1,1))]. 13101 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(13073(a,2),8083(a,1,1))]. 13102 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(13073(a,1),9021(a,2,2))]. 13103 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(13076(a,2),47(a,1))]. 13104 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(11081,a,13101,a)]. 13105 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5458(a,1),13101(a,2,2))]. 13106 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(13101(a,1),10114(a,2,2))]. 13107 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(66,a,5643,a(flip),b,13065,a),flip(a)]. 13108 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(66,a,6485,a(flip),b,13107,a),flip(a)]. 13111 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(13107(a,1),5097(a,1,1,2))]. 13112 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(285,a,7796,a(flip),b,12769,a),flip(a)]. 13113 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(27(a,2),13112(a,1,1,3))]. 13114 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7761(a,1),13113(a,2,1))]. 13115 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(66,a,7018,a(flip),b,13114,a)]. 13116 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),6588(a,2,2))]. 13117 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),8554(a,2,2))]. 13118 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13116,a),flip(a)]. 13119 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7682(a,1),13118(a,2,2))]. 13120 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(66,a,6581,a(flip),b,13119,a)]. 13121 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13120(a,2),46(a,1))]. 13122 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(66,a,12889,a(flip),b,12845,a),flip(a)]. 13123 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12834(a,1),13122(a,1,1,1)),flip(a)]. 13124 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(285,a,13083,a,b,13123,a),flip(a)]. 13125 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12372(a,1),13124(a,2,1))]. 13126 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12868,a,13125,a),flip(a)]. 13128 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(66,a,470,a,b,13126,a)]. 13129 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [hyper(66,a,114,a,b,13126,a)]. 13130 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(7286(a,1),12982(a,2,2))]. 13132 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(8406(a,1),13130(a,1,2))]. 13133 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(285,a,5805,a(flip),b,13021,a),flip(a)]. 13134 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(66,a,10281,a(flip),b,13133,a)]. 13136 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(285,a,13108,a(flip),b,13134,a),flip(a)]. 13137 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(11497,a,13136,a),flip(a)]. 13139 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(66,a,6720,a(flip),b,13137,a),flip(a)]. 13140 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(66,a,12086,a(flip),b,13139,a)]. 13141 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(285,a,12097,a(flip),b,13140,a),flip(a)]. 13142 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(32(a,2),13141(a,1,2))]. 13143 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(66,a,6959,a(flip),b,13142,a)]. 13144 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(285,a,10698,a(flip),b,13143,a),flip(a)]. 13145 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(66,a,8542,a(flip),b,13144,a)]. 13146 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2090(a,1),13145(a,2,2,1))]. 13147 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(13146(a,1),11464(a,1,1,2))]. 13148 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(285,a,7761,a(flip),b,12717,a),flip(a)]. 13149 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(285,a,1086,a(flip),b,12942,a),flip(a)]. 13150 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(285,a,1514,a(flip),b,13149,a),flip(a)]. 13151 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9704(a,1),13150(a,2,1,2))]. 13152 (x * R(x \ y,z,x \ y)) / y != u | T(a(1 / (x / y),z,1 / (x / y)),w) = u. [para(13151(a,1),4222(a,1))]. 13153 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(66,a,6115,a(flip),b,13020,a),flip(a)]. 13154 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(66,a,8123,a(flip),b,13153,a),flip(a)]. 13155 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(66,a,13040,a(flip),b,13154,a),flip(a)]. 13157 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(285,a,626,a(flip),b,13155,a),flip(a)]. 13159 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(4611(a,1),13157(a,1,1))]. 13160 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(13159(a,1),11470(a,1,2))]. 13161 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(66,a,12596,a(flip),b,13160,a)]. 13163 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7682(a,1),13161(a,1,2))]. 13164 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(66,a,6246,a,b,13163,a)]. 13165 L(x,y \ 1,K(z,y)) = x. [hyper(5648,a,13164,a)]. 13166 L(x,y,K(z,y \ 1)) = x. [hyper(66,a,7072,a(flip),b,13165,a)]. 13167 L(x,y \ 1,K(z,y)) != u | x = u. [para(13165(a,1),53(a,2))]. 13168 L(x,y,K(z,y \ 1)) != u | x = u. [para(13166(a,1),53(a,2))]. 13170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5193(a,1),13074(a,2,1))]. 13171 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12777(a,1),13170(a,1,1))]. 13172 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(285,a,9366,a,b,13171,a)]. 13173 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(13103,a,13172,a)]. 13174 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(13173(a,1),13129(a,1,1,1,1))]. 13175 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(13171(a,1),13174(a,1,1,1))]. 13176 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(593(a,1),13175(a,1,1))]. 13177 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(285,a,13173,a(flip),b,13176,a),flip(a)]. 13178 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(13152,a,13177,a)]. 13179 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11508(a,1),13178(a,1,1))]. 13180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(285,a,6304,a(flip),b,13086,a),flip(a)]. 13181 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6302(a,1),13180(a,1,1)),flip(a)]. 13182 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(13181(a,1),12819(a,1,2))]. 13183 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(187(a,1),13097(a,1,1))]. 13185 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7396(a,1),13183(a,1,2))]. 13186 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6966(a,1),13185(a,1,2)),flip(a)]. 13187 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(285,a,12,a(flip),b,13186,a),flip(a)]. 13188 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5452,a,13187,a)]. 13189 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6076(a,1),13188(a,1,2,2))]. 13190 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(10159(a,1),13188(a,1,1))]. 13191 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11625(a,1),13188(a,1,1))]. 13192 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5653,a,13191,a)]. 13193 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10040(a,1),13191(a,1,2,2))]. 13194 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(11744,a,13192,a)]. 13196 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(11748(a,1),13193(a,1,2))]. 13197 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5453,a,13196,a)]. 13198 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(13196(a,1),5453(a,1)),flip(b)]. 13200 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,13194,a,b,13197,a)]. 13201 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(66,a,13039,a(flip),b,13197,a)]. 13203 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(13201(a,1),10544(a,1,1))]. 13205 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(13200(a,1),11764(a,1,1)),flip(a)]. 13206 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(51,a,13205,a)]. 13208 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(7546,a,13206,a),flip(a)]. 13209 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(285,a,8826,a,b,13206,a)]. 13210 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(66,a,7001,a,b,13206,a)]. 13212 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(13194(a,2),13198(a,1))]. 13213 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(13212,a,13208,a),flip(a)]. 13215 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(285,a,11773,a(flip),b,13213,a),flip(a)]. 13216 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(285,a,10620,a(flip),b,13104,a),flip(a)]. 13217 K(a(x,y,z),x) = 1. [hyper(13093,a,13216,a),flip(a)]. 13220 T(a(x,y,z),x) = a(x,y,z). [hyper(59,a,13217,a)]. 13221 T(x,a(x,y,z)) = x. [hyper(57,a,13220,a)]. 13222 a(x,y,z) * x = x * a(x,y,z). [hyper(124,a,13220,a(flip),b,27,a(flip)),flip(a)]. 13223 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3935(a,2),13220(a,1,1))]. 13224 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(13221(a,1),222(a,1,2,1)),flip(a)]. 13225 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(66,a,11150,a(flip),b,13222,a),flip(a)]. 13226 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(66,a,13179,a(flip),b,13223,a),flip(a)]. 13227 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(13224(a,1),1564(a,2,2,1,2)),flip(a)]. 13228 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(13225(a,1),11151(a,1,2,2))]. 13229 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(66,a,7150,a(flip),b,13228,a)]. 13230 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(66,a,12916,a,b,13229,a)]. 13231 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(285,a,11268,a(flip),b,13230,a),flip(a)]. 13233 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(66,a,9856,a,b,13231,a)]. 13234 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5798(a,1),13111(a,1,1))]. 13235 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,32,a,b,13234,a)]. 13236 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5097(a,1),13235(a,1,1)),flip(a)]. 13237 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(285,a,34,a(flip),b,13236,a),flip(a)]. 13238 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(13237(a,1),1825(a,1,1,1)),flip(a)]. 13239 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5798(a,1),13147(a,1,1))]. 13240 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5785(a,1),13239(a,1,1,1,2))]. 13241 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(66,a,32,a,b,13240,a)]. 13242 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(5719(a,1),13241(a,1,1)),flip(a)]. 13243 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(285,a,9222,a(flip),b,13148,a),flip(a)]. 13244 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(8426,a,13243,a)]. 13245 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(66,a,10806,a(flip),b,13244,a)]. 13247 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(66,a,11531,a(flip),b,13245,a)]. 13248 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9575,a,13247,a),flip(a)]. 13250 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(161(a,1),13247(a,2,2))]. 13251 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(13247(a,1),6670(a,1))]. 13252 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(66,a,12544,a(flip),b,13250,a)]. 13254 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(14(a,1),13252(a,2,2))]. 13255 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10873,a(flip),b,13254,a),flip(a)]. 13257 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(66,a,10492,a,b,13255,a)]. 13259 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(66,a,8928,a(flip),b,13257,a)]. 13260 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(79(a,1),13248(a,1,2,2))]. 13261 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9295(a,1),13189(a,1,1))]. 13262 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5125(a,2),13261(a,1,2))]. 13264 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6120(a,1),13262(a,1,1))]. 13265 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(285,a,9211,a(flip),b,13264,a),flip(a)]. 13266 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2232,a,13265,a)]. 13268 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(13266(a,1),11904(a,1,1,2))]. 13270 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(355(a,1),13233(a,2,2))]. 13271 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(285,a,9032,a(flip),b,13270,a),flip(a)]. 13273 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(66,a,8710,a(flip),b,13271,a)]. 13275 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12940(a,1),12813(a,1,1)),flip(a)]. 13276 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(66,a,10392,a(flip),b,13275,a),flip(a)]. 13278 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7782,a,13276,a)]. 13280 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(28(a,1),13278(a,1,2,2))]. 13281 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8565(a,1),13278(a,1,1,2))]. 13282 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(9341(a,1),13278(a,1,1))]. 13283 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9769(a,1),13278(a,1,1))]. 13284 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(13280(a,1),47(a,1))]. 13285 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6421(a,1),13106(a,1,2))]. 13286 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(66,a,10159,a(flip),b,13285,a)]. 13287 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7681(a,2),13190(a,1,2,2,1))]. 13288 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(32(a,2),13210(a,1,1))]. 13289 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5334(a,1),13287(a,1,2))]. 13290 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,13215,a(flip),b,13288,a),flip(a)]. 13291 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(13290(a,1),11753(a,1,1))]. 13292 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(285,a,7720,a(flip),b,13291,a),flip(a)]. 13293 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(38,a,11796,a,b,13289,a),flip(a)]. 13295 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2720(a,1),13293(a,1,2,2))]. 13296 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(285,a,7908,a,b,13295,a),flip(a)]. 13297 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(13295(a,1),7888(a,1,2)),flip(a)]. 13298 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),13296(a,1,2,2))]. 13299 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7145(a,1),13298(a,1,2)),flip(a)]. 13300 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(66,a,10119,a,b,13299,a)]. 13301 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(66,a,7908,a,b,13299,a)]. 13302 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7764(a,1),13299(a,1,2)),flip(a)]. 13303 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(17(a,1),13300(a,2,2,2))]. 13304 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(285,a,7908,a,b,13301,a),flip(a)]. 13305 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(285,a,7881,a,b,13303,a),flip(a)]. 13306 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(66,a,10280,a(flip),b,13304,a),flip(a)]. 13307 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(66,a,10189,a(flip),b,13305,a)]. 13309 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(13307(a,1),8942(a,1,1))]. 13310 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(13307(a,1),9924(a,1,1))]. 13311 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(13310(a,1),4783(a,1)),flip(b)]. 13312 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7908(a,1),13310(a,1,1))]. 13314 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7331(a,2),13311(a,1))]. 13315 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7761(a,1),13311(a,1,2))]. 13318 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7861(a,2),13311(a,1))]. 13321 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7884(a,1),13311(a,1))]. 13322 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7884(a,2),13311(a,1))]. 13328 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(10124(a,1),13311(a,1))]. 13329 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10277(a,1),13311(a,1))]. 13330 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(10665(a,2),13311(a,1))]. 13341 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(66,a,10157,a(flip),b,13312,a)]. 13345 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(87(a,1),13341(a,1,2,2,2))]. 13346 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7927,a,13309,a)]. 13347 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(87(a,1),13309(a,1,2)),flip(a)]. 13349 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7859(a,1),13346(a,1,1))]. 13350 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7884(a,1),13347(a,2,1))]. 13351 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8945,a,13349,a)]. 13352 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(180,a,13350,a)]. 13353 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11363(a,1),13351(a,1,1,1,1))]. 13355 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(5283,a,13352,a)]. 13356 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(56,a,13355,a)]. 13357 a(K(x * y,K(z,u)),x,y) = 1. [para(14(a,1),13356(a,1,3))]. 13358 a(K(K(x,y),z),u,u \ z) = 1. [para(7331(a,2),13356(a,1,1))]. 13359 a(K(x,K(y,z * u)),z,u) = 1. [para(7859(a,1),13357(a,1,1))]. 13360 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(285,a,7925,a,b,13358,a),flip(a)]. 13361 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(285,a,7862,a(flip),b,13297,a),flip(a)]. 13362 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(66,a,12261,a(flip),b,13361,a)]. 13363 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8235(a,2),13315(a,1))]. 13364 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10261(a,2),13328(a,1))]. 13366 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7761(a,1),13302(a,1,2))]. 13368 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7990(a,1),13362(a,1,2)),flip(a)]. 13369 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8014(a,1),13368(a,1,2)),flip(a)]. 13370 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10198,a,13369,a),flip(a)]. 13371 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(7145(a,1),13369(a,1,2)),flip(a)]. 13372 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(66,a,8532,a(flip),b,13371,a),flip(a)]. 13373 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13372(a,1),5306(a,1,1))]. 13375 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9953(a,2),13363(a,1))]. 13376 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10090,a,13370,a),flip(a)]. 13377 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(10068,a,13376,a)]. 13378 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(285,a,5130,a(flip),b,13377,a),flip(a)]. 13379 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5207,a,13378,a)]. 13380 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13379(a,1),13259(a,1,1))]. 13381 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(17(a,1),13306(a,1,2,1)),flip(a)]. 13382 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(13345(a,1),13360(a,2,2))]. 13383 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(13321,a,13381,a)]. 13384 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(66,a,13366,a(flip),b,13383,a)]. 13385 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(13384(a,1),7915(a,2,2))]. 13386 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(7881(a,1),13385(a,2,2))]. 13387 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7884(a,2),13382(a,2,2))]. 13388 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7331(a,1),13387(a,1,1))]. 13389 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(285,a,11986,a(flip),b,13388,a)]. 13390 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(285,a,13359,a(flip),b,13389,a),flip(a)]. 13391 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(66,a,12267,a(flip),b,13390,a)]. 13392 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(14(a,1),13391(a,1,2,2,2,3))]. 13393 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8288(a,1),13380(a,1,1,2))]. 13394 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7700(a,1),13393(a,1,1)),flip(a)]. 13395 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(285,a,10572,a(flip),b,13394,a),flip(a)]. 13397 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(462(a,1),13395(a,1,2,1,1)),flip(a)]. 13398 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(7551,a,13397,a)]. 13399 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(66,a,10673,a(flip),b,13398,a),flip(a)]. 13401 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(66,a,13247,a(flip),b,13399,a)]. 13402 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(79(a,1),13401(a,1,2,2))]. 13403 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(66,a,6110,a(flip),b,13402,a)]. 13405 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13403(a,2),5320(a,1,1))]. 13406 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6137,a,13405,a)]. 13407 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(355(a,2),13406(a,2,2)),flip(a)]. 13408 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(66,a,12039,a(flip),b,13100,a),flip(a)]. 13410 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12829(a,1),12923(a,2,2))]. 13411 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(285,a,12826,a(flip),b,13410,a),flip(a)]. 13413 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(12858(a,1),13411(a,1,1))]. 13415 L(x,a(x,y,x),z) = x. [para(12919(a,1),13413(a,1,3))]. 13416 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(13415(a,1),410(a,1,2,1))]. 13417 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5150(a,1),13024(a,1,1)),flip(a)]. 13418 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5150(a,1),13417(a,2,2,1))]. 13419 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),13048(a,2,2,1))]. 13421 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12789(a,1),13419(a,2,2))]. 13422 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(285,a,14,a(flip),b,13421,a),flip(a)]. 13423 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4902,a,13422,a),flip(a)]. 13425 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12858(a,1),12809(a,2,1,1))]. 13427 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12859(a,1),13425(a,1,1))]. 13429 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12858(a,1),13427(a,1,2)),flip(a)]. 13430 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(66,a,13054,a,b,13429,a)]. 13431 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5150(a,1),13430(a,1,1,2)),flip(a)]. 13432 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5150(a,1),13431(a,2,2))]. 13433 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4481(a,1),13099(a,1,1))]. 13434 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4555(a,1),13182(a,1,2,1)),flip(a)]. 13435 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7997(a,1),13433(a,1,1,2))]. 13436 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9528,a,13435,a),flip(a)]. 13438 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9568(a,1),13436(a,1,1))]. 13439 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(66,a,9867,a(flip),b,13438,a)]. 13440 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(66,a,7033,a(flip),b,13438,a)]. 13441 R(K(x,y),L(x,z,u),w) = v5 / (K(y,x) * v5). [para(13438(a,1),6135(a,1,2,1)),flip(a)]. 13443 R(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,5448,a(flip),b,13441,a),flip(a)]. 13444 K(x,(L(x,y,z) * u) / w) = K(x,(w / u) \ L(x,y,z)). [hyper(66,a,6583,a(flip),b,13443,a)]. 13446 K(((x * y) / x) \ L(z,u,w),z) = K(L(z,u,w) * (y \ K(y,x)),z). [para(5413(a,1),13439(a,1,1,2)),flip(a)]. 13447 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(285,a,6481,a(flip),b,13440,a),flip(a)]. 13449 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,9534,a(flip),b,13444,a),flip(a)]. 13450 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(L(x,w,v5) * u) / z). [hyper(66,a,7188,a(flip),b,13444,a),flip(a)]. 13451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(66,a,10735,a,b,13447,a)]. 13452 T(x,y) \ T(x * K((z / u) \ L(x,w,v5),x),y) = K((L(x,w,v5) * u) / z,T(x,y)). [para(13447(a,1),5722(a,1,2,1,2))]. 13453 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(8429,a,13451,a)]. 13454 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(10963,a,13453,a)]. 13455 K(x / (y / L(z,u,w)),z) = K((y / x) \ L(z,u,w),z). [hyper(66,a,10353,a,b,13454,a)]. 13456 K((x * L(y,z,u)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,9514,a,b,13455,a)]. 13457 K((x * T(L(y,z,u),w)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,10355,a,b,13456,a)]. 13458 K((x * L(T(y,z),u,w)) / z,y) = K((z / x) \ L(y,u,w),y). [para(30(a,2),13457(a,1,1,1,2))]. 13459 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(z / u) \ L(x,w,v5)). [hyper(285,a,13444,a(flip),b,13450,a),flip(a)]. 13460 K(x,((y * (z * (1 / (1 / (z \ (y \ u)))))) / w) \ L(x,v5,v6)) = K(x,(u / w) \ L(x,v5,v6)). [para(2784(a,1),13459(a,1,2,1,1))]. 13461 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(w \ 1,u)). [hyper(285,a,9530,a(flip),b,13449,a),flip(a)]. 13463 K((L(x,y,z) * u) / w,T(x,v5)) = K((w / u) \ L(x,y,z),T(x,v5)). [hyper(5865,a,13452,a),flip(a)]. 13465 K((x / y) \ L(z,u,w),T(z,y)) != v5 | K(x \ (L(z,u,w) * y),z) = v5. [para(13463(a,1),10988(a,1))]. 13466 K(x,T((1 / (1 / (y \ (L(x,z,u) \ w)))) \ 1,y)) = K(x,(w / y) \ L(x,z,u)). [hyper(66,a,13461,a(flip),b,13460,a)]. 13467 K(x,T(1 / (y \ (L(x,z,u) \ w)),y)) = K(x,(w / y) \ L(x,z,u)). [para(90(a,1),13466(a,1,2,1))]. 13468 K(x,y / (L(x,z,u) \ w)) = K(x,(w / y) \ L(x,z,u)). [hyper(10991,a,13467,a)]. 13470 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9716(a,2),12807(a,1,2,2))]. 13471 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * T(y \ x,K(y,z)))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(12475(a,2),12939(a,1,2,2,2))]. 13472 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12833(a,1),13128(a,1,1,1))]. 13473 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(473(a,1),13472(a,1,1))]. 13474 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(285,a,1825,a(flip),b,13238,a),flip(a)]. 13475 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(32(a,2),13474(a,2,3))]. 13476 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10283(a,1),13282(a,1,1)),flip(a)]. 13477 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7687(a,1),13476(a,2,2))]. 13479 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(66,a,13423,a(flip),b,13477,a),flip(a)]. 13481 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(28(a,1),13479(a,1,1,2))]. 13482 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(4604(a,1),13283(a,1,1))]. 13483 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5547(a,2),13353(a,1,1))]. 13484 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(13314,a,13483,a)]. 13485 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(66,a,13301,a(flip),b,13484,a)]. 13486 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(17(a,1),13485(a,1,2,2)),flip(a)]. 13487 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(13322,a,13486,a)]. 13488 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(103(a,1),13470(a,1,2)),flip(a)]. 13489 (x * K(y,z)) \ (R(y,u,y) * ((y \ x) * K(y,z))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(116(a,1),13471(a,1,2,2))]. 13490 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(11180(a,1),13489(a,1,2))]. 13491 L(a(x,y,x),T(z,K(x,u)),K(x,u)) = a(x,y,x). [hyper(66,a,12950,a(flip),b,13490,a),flip(a)]. 13493 L(a(x,y,x),z,K(x,u)) = a(x,y,x). [para(208(a,1),13491(a,1,2))]. 13495 x \ (K(y,z) \ ((a(y,u,y) * K(y,z)) * x)) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(13493(a,1),1127(a,1,2,2,1,1))]. 13497 x \ (K(y,z) \ (K(y,z) * (a(y,u,y) * x))) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(12935(a,1),13495(a,1,2,2))]. 13498 R(T(a(x,y,x),K(x,z) * u),K(x,z),u) = u \ (a(x,y,x) * u). [para(14(a,1),13497(a,1,2)),flip(a)]. 13501 R(T(a(x,y,x),z),K(x,u),w) = w \ (a(x,y,x) * w). [para(12869(a,1),13498(a,1,1))]. 13502 R(T(a(x,y,x),z),K(x,u),w) = T(a(x,y,x),w). [hyper(285,a,27,a,b,13501,a),flip(a)]. 13505 R(a(x,y,x),K(x,z),u) = a(x,y,x). [hyper(144,a,13502,a(flip))]. 13506 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12468(a,1),13482(a,1,1))]. 13507 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5830(a,1),13506(a,1,2))]. 13508 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8391(a,1),13507(a,1,2))]. 13509 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(285,a,13226,a(flip),b,13508,a),flip(a)]. 13510 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12840(a,1),13052(a,1,1))]. 13511 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(7646(a,1),13510(a,1,1))]. 13513 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(13511(a,1),304(a,1)),flip(b)]. 13515 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13117,a),flip(a)]. 13516 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7682(a,1),13515(a,2,2))]. 13517 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13516(a,1,1,2,2,1))]. 13518 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8538(a,1),13517(a,1,1,2))]. 13519 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7693(a,1),13518(a,1,1))]. 13520 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13519(a,1,2,1,1,1))]. 13522 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13520(a,1),5279(a,1,2)),flip(a)]. 13523 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(285,a,5544,a(flip),b,13522,a),flip(a)]. 13524 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4072,a,13523,a)]. 13526 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(66,a,8396,a(flip),b,13524,a),flip(a)]. 13527 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13526(a,2),13132(a,1,1))]. 13528 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2539(a,1),13075(a,1,2)),flip(a)]. 13530 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8852(a,1),13528(a,1,2,1))]. 13531 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11803(a,1),13530(a,1,2)),flip(a)]. 13532 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8852(a,1),13531(a,2,3))]. 13533 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(66,a,13268,a(flip),b,13532,a),flip(a)]. 13535 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12777(a,1),13533(a,1,2))]. 13536 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12886(a,2),13535(a,1,3))]. 13537 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(492,a,13536,a)]. 13538 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12886(a,1),13537(a,1,2))]. 13539 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(285,a,12862,a(flip),b,13538,a),flip(a)]. 13540 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(13538(a,2),12867(a,1))]. 13541 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(66,a,9220,a(flip),b,13539,a),flip(a)]. 13542 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(8986(a,1),13209(a,1,1,2))]. 13543 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(586(a,1),13542(a,1,1))]. 13544 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(223(a,1),13543(a,1,2)),flip(a)]. 13545 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(285,a,1825,a(flip),b,13544,a),flip(a)]. 13546 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(32(a,2),13545(a,2,3))]. 13547 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(66,a,13206,a(flip),b,13546,a)]. 13548 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(13212,a,13547,a)]. 13550 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(66,a,11774,a(flip),b,13548,a),flip(a)]. 13552 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13475,a,b,13550,a)]. 13553 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12818,a,13552,a)]. 13554 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(13553(a,1),13434(a,1,2)),flip(a)]. 13555 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(27(a,2),13554(a,2,2,2))]. 13556 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(11773(a,1),13555(a,2,2))]. 13557 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8906(a,1),13281(a,1,1))]. 13558 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7995(a,1),13557(a,1,1))]. 13559 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9977(a,1),13558(a,1,1))]. 13560 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6468(a,1),13559(a,1,2))]. 13561 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8967(a,1),13560(a,1,2))]. 13562 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(66,a,13509,a(flip),b,13561,a),flip(a)]. 13563 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(9261(a,1),12832(a,1,2)),flip(a)]. 13564 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(285,a,12333,a(flip),b,13563,a),flip(a)]. 13566 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12789(a,1),13564(a,2,1))]. 13567 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(285,a,13416,a(flip),b,13566,a),flip(a)]. 13568 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12940(a,1),13567(a,1,2))]. 13570 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13568(a,1),13227(a,1,1))]. 13572 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13570(a,1),304(a,1)),flip(b)]. 13574 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(66,a,10509,a(flip),b,13045,a)]. 13575 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(66,a,5836,a(flip),b,13574,a)]. 13576 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(12683,a,13575,a)]. 13578 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(6321(a,1),13576(a,1,2,1))]. 13579 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(9881,a,13578,a),flip(a)]. 13580 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,12644,a(flip),b,13579,a),flip(a)]. 13581 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,8604,a(flip),b,13580,a),flip(a)]. 13583 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(285,a,9456,a(flip),b,13581,a),flip(a)]. 13584 K(x,L(y,x,z)) = K(x,y). [hyper(9884,a,13583,a),flip(a)]. 13586 K(x,L(y,x,z)) != u | K(x,y) = u. [para(13583(a,1),9884(a,1))]. 13587 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(9454,a,13584,a)]. 13589 K(L(x,y,z),y) = K(x,y). [hyper(66,a,8731,a,b,13584,a)]. 13591 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(66,a,13059,a(flip),b,13584,a)]. 13592 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [hyper(66,a,13004,a(flip),b,13584,a)]. 13595 L(x,y,z) * (K(y,L(x,y,z)) * u) = (L(x,y,z) * K(y,x)) * u. [para(13584(a,1),4409(a,1,1,2)),flip(a)]. 13600 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(66,a,9349,a(flip),b,13589,a)]. 13604 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9113(a,1),13586(a,1))]. 13605 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(10022(a,1),13586(a,1))]. 13607 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(13587(a,1),9415(a,1,2))]. 13609 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(285,a,11390,a,b,13591,a)]. 13610 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(285,a,4943,a,b,13591,a)]. 13611 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(124,a,13591,a,b,5125,a(flip))]. 13616 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(87(a,1),13600(a,1,1,1))]. 13621 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [para(15(a,1),13592(a,1,2,2,1)),flip(a)]. 13622 (x * K(y,y \ z)) * z = x * (y * (z / y)). [hyper(66,a,12998,a,b,13607,a)]. 13624 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(13609(a,1),5190(a,2,1)),flip(a)]. 13625 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(5180,a,13611,a)]. 13626 T(x,T(x \ y,z)) = (x \ T(y,z)) \ T(y,z). [hyper(285,a,117,a(flip),b,13625,a),flip(a)]. 13627 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(66,a,3038,a(flip),b,13625,a),flip(a)]. 13628 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(13627(a,1),249(a,1,2))]. 13629 K(x,T(x \ (y \ z),z)) = K(x,x \ (z / y)). [hyper(66,a,10401,a,b,13621,a)]. 13630 R(x,K(y,y \ z),z) = x. [hyper(5570,a,13622,a)]. 13631 R(x,K(y,z),z * y) = x. [para(5336(a,1),13630(a,1,2))]. 13632 x / (K(y,z) * (z * y)) = (x / (z * y)) * K(z,y). [hyper(66,a,7425,a(flip),b,13631,a)]. 13633 K(x,x \ (y / (y / z))) = K(x,T(x \ z,y)). [para(90(a,1),13629(a,1,2,1,2)),flip(a)]. 13634 K(x,x \ ((y * z) / y)) = K(x,x \ (y / (y / z))). [hyper(285,a,13592,a,b,13633,a)]. 13640 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(627,a,13628,a)]. 13641 (x / (y * z)) * K(y,z) = x / (z * y). [para(5146(a,1),13632(a,1,2)),flip(a)]. 13643 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(13641(a,1),6311(a,1,1)),flip(a)]. 13644 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(13641(a,1),6336(a,1,1))]. 13647 (x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y). [para(17(a,1),13643(a,1,1,2)),flip(a)]. 13648 (1 / (x * y)) * (T(x,y) * T(T(x,y) \ (x * y),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(13643(a,1),5966(a,2,1,1))]. 13649 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ (x / (x / z))). [hyper(66,a,13037,a,b,13634,a)]. 13650 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(66,a,7301,a(flip),b,13640,a),flip(a)]. 13651 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5410,a,13644,a)]. 13652 a((x * y) \ 1,y,x) / x = (1 / (y * x)) * y. [hyper(66,a,10252,a(flip),b,13651,a)]. 13653 1 / L(x,y,(x * y) \ 1) = (1 / (y * x)) * y. [hyper(66,a,12063,a(flip),b,13652,a)]. 13654 (1 / ((x \ y) * x)) * (x \ y) = 1 / L(x,x \ y,y \ 1). [para(15(a,1),13653(a,1,2,3,1)),flip(a)]. 13655 L(x,y,(x * y) \ 1) \ 1 = T((1 / (y * x)) * y,x). [para(13653(a,1),10458(a,1,1)),flip(a)]. 13656 1 / T((1 / (x * y)) * x,y) = L(y,x,(y * x) \ 1). [hyper(185,a,13655,a)]. 13657 L(x,y,(y * x) \ 1) = L(x,y,(x * y) \ 1). [hyper(10466,a,13656,a)]. 13658 L(x \ y,x,((x \ y) * x) \ 1) = L(x \ y,x,y \ 1). [para(15(a,1),13657(a,1,3,1)),flip(a)]. 13659 L(x,y / x,(x * (y / x)) \ 1) = L(x,y / x,y \ 1). [para(17(a,1),13657(a,1,3,1)),flip(a)]. 13660 (x / (y * (z / y))) * (z / y) = (x / z) * (y \ z). [para(118(a,1),13647(a,2,2))]. 13661 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(y / x,x). [para(13660(a,1),5883(a,1,1)),flip(a)]. 13662 L(x \ y,x,((x \ y) * x) \ 1) = ((1 / y) * x) \ 1. [hyper(285,a,3666,a(flip),b,13658,a),flip(a)]. 13663 K((((1 / x) * y) \ 1) / ((((y \ x) * y) \ 1) * x),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13662(a,1),5837(a,1,1,1))]. 13664 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(66,a,9901,a(flip),b,13624,a),flip(a)]. 13665 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(13664(a,2),4519(a,1,2))]. 13666 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(263,a,13665,a)]. 13667 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(13666(a,1),8816(a,1,1))]. 13668 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(13667(a,1),11245(a,1,1)),flip(a)]. 13669 T(x,L(y,x,z)) = T(x,y). [hyper(8506,a,13595,a(flip))]. 13672 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(66,a,9354,a(flip),b,13669,a)]. 13674 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(124,a,13669,a(flip),b,27,a(flip))]. 13676 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(459(a,1),13669(a,1,2))]. 13680 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(13674(a,1),1247(a,1,2,2))]. 13681 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(x \ y,x). [para(5323(a,1),13661(a,2,2))]. 13682 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(285,a,8813,a(flip),b,13668,a),flip(a)]. 13683 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(66,a,5389,a(flip),b,13682,a),flip(a)]. 13684 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(16(a,1),13683(a,2,1))]. 13685 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(27(a,2),13684(a,1,3))]. 13686 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(13685(a,1),5285(a,1,2))]. 13687 L(x,y / x,(x * (y / x)) \ 1) = L(x,x \ y,y \ 1). [hyper(285,a,5677,a(flip),b,13681,a),flip(a)]. 13688 L(x,y / x,y \ 1) = L(x,x \ y,y \ 1). [hyper(66,a,13659,a(flip),b,13687,a)]. 13689 1 / L(x,x \ y,y \ 1) = (1 / y) * (y / x). [para(13688(a,1),3669(a,1,2))]. 13690 (1 / ((x \ y) * x)) * (x \ y) = (1 / y) * (y / x). [hyper(66,a,13654,a,b,13689,a)]. 13691 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((1 / ((x \ y) * x)) * y) / ((1 / y) * (y / x)),z). [para(13690(a,1),9904(a,1,1,2)),flip(a)]. 13692 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(66,a,11724,a(flip),b,13686,a),flip(a)]. 13693 K(x * y,z) * x = x * K(y * x,z). [hyper(13121,a,13692,a)]. 13694 K(x * y,T(z,x)) = K(y * x,z). [hyper(7726,a,13693,a)]. 13695 K(x * y,T(z,y)) = K(y * x,z). [hyper(38,a,7997,a,b,13693,a)]. 13700 K(x * y,z) * y = y * K(y * x,z). [para(13694(a,1),7997(a,1,1))]. 13701 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13694(a,1),8503(a,1,2)),flip(a)]. 13702 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13694(a,1),11906(a,1,1))]. 13703 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [hyper(124,a,13695,a(flip),b,5125,a(flip))]. 13706 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13700(a,1),13527(a,1,1,1))]. 13707 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6545,a,13703,a)]. 13708 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(122,a,13707,a,b,4913,a)]. 13709 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13701(a,2),7399(a,1,1))]. 13710 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13709(a,1),7516(a,1,2)),flip(a)]. 13711 K(x,T(y * z,y)) = K(x,z * y). [hyper(8642,a,13710,a(flip))]. 13712 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(11021,a,13711,a)]. 13713 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(11020,a,13711,a)]. 13715 K(x,T(y * z,z)) = K(x,z * y). [hyper(66,a,10086,a,b,13711,a)]. 13717 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13711(a,1),13366(a,1,2)),flip(a)]. 13718 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(13715(a,1),7779(a,1,1))]. 13719 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(285,a,13407,a(flip),b,13713,a),flip(a)]. 13720 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(13328,a,13717,a)]. 13721 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(5744,a,13718,a)]. 13722 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(66,a,10132,a(flip),b,13720,a),flip(a)]. 13723 T(x,T(y * z,z)) = T(x,z * y). [hyper(37,a,7825,a,b,13721,a)]. 13724 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [hyper(8241,a,13723,a)]. 13726 T(x,T(y * z,y)) = T(x,z * y). [hyper(37,a,7825,a,b,13724,a)]. 13727 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(66,a,8819,a(flip),b,13719,a),flip(a)]. 13728 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13406,a(flip),b,13727,a)]. 13729 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13273,a,b,13728,a)]. 13730 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),13728(a,1,2)),flip(a)]. 13731 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13728(a,1),13296(a,1,2))]. 13732 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2969(a,1),13731(a,1,2,2))]. 13733 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13732(a,1),13386(a,2,2))]. 13734 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(87(a,1),13733(a,1,1)),flip(a)]. 13736 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7884(a,2),13734(a,1,2))]. 13737 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(27(a,2),13736(a,1,1))]. 13738 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6145(a,2),13706(a,1,2,2))]. 13739 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(7049(a,1),13702(a,1,1,1))]. 13740 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(66,a,10582,a(flip),b,13722,a),flip(a)]. 13741 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(13328,a,13740,a)]. 13742 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6631(a,2),13741(a,2,2))]. 13743 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(15(a,1),13708(a,1,2,2,1))]. 13744 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(66,a,5895,a(flip),b,13743,a),flip(a)]. 13745 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3034(a,1),13744(a,1,1))]. 13746 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(285,a,7085,a(flip),b,13745,a),flip(a)]. 13747 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13746(a,1),7303(a,1,1)),flip(a)]. 13748 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(90(a,1),13747(a,1,1,2,1)),flip(a)]. 13749 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(185,a,13748,a)]. 13750 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(66,a,13650,a,b,13749,a),flip(a)]. 13751 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13750(a,1),2383(a,1,1))]. 13752 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7280(a,2),13751(a,1,1))]. 13753 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(14(a,1),13752(a,1,1,1,1)),flip(a)]. 13754 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1277,a,13753,a)]. 13755 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(11974(a,2),13754(a,2,1,1))]. 13756 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,y / (x / z)). [hyper(285,a,13038,a(flip),b,13649,a),flip(a)]. 13757 K(x / y,(x / y) \ z) = K(y \ x,y / (x / z)). [hyper(13586,a,13756,a)]. 13759 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(285,a,30,a,b,13676,a),flip(a)]. 13760 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(66,a,30,a,b,13759,a)]. 13761 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(116(a,1),13680(a,1,1,1))]. 13762 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1559,a,13761,a),flip(a)]. 13763 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(116(a,1),13762(a,1,2))]. 13764 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(66,a,6658,a(flip),b,13763,a),flip(a)]. 13766 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(13764(a,1),6653(a,1,1))]. 13767 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(13604,a,13766,a),flip(a)]. 13768 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(13767(a,1),12594(a,1,1))]. 13769 L(K(x,x * y),y,z) = K(x,x * y). [para(8730(a,1),13768(a,1,1))]. 13771 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(66,a,9928,a,b,13769,a)]. 13772 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(66,a,12686,a(flip),b,13769,a)]. 13773 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(13769(a,2),5344(a,1,2))]. 13775 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6645,a,13772,a)]. 13777 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(66,a,12640,a,b,13772,a)]. 13778 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(66,a,10489,a(flip),b,13772,a),flip(a)]. 13779 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(66,a,10486,a(flip),b,13772,a)]. 13780 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1245(a,1),13772(a,1,2))]. 13781 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(13772(a,1),6653(a,1,1))]. 13782 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(7040(a,2),13775(a,1,2,1))]. 13783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(66,a,10890,a,b,13779,a)]. 13784 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(13779(a,1),9228(a,1,1))]. 13785 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6035,a,13773,a)]. 13786 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9268(a,2),13773(a,1,2))]. 13787 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(66,a,12688,a(flip),b,13785,a),flip(a)]. 13788 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(66,a,11591,a(flip),b,13785,a)]. 13790 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(15(a,1),13787(a,1,1,2,1)),flip(a)]. 13791 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(203(a,2),13787(a,1,1,2))]. 13792 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(103(a,1),13787(a,1,1,2,1))]. 13793 K((x / y) \ z,T(z,y)) = K(z * (x \ y),z). [hyper(66,a,9375,a,b,13790,a)]. 13794 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(66,a,9305,a(flip),b,13790,a),flip(a)]. 13795 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(66,a,6665,a(flip),b,13790,a)]. 13796 K(x \ (y * z),y) = K(y * (x \ z),y). [para(14(a,1),13794(a,1,1,2,2)),flip(a)]. 13797 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(66,a,9304,a,b,13795,a)]. 13798 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(13795(a,1),5803(a,1,1,1,2))]. 13799 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(13796(a,1),9145(a,1,1))]. 13800 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(16(a,1),13797(a,1,1,1)),flip(a)]. 13801 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [hyper(124,a,13777,a(flip),b,5125,a(flip)),flip(a)]. 13803 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(285,a,5130,a,b,13801,a),flip(a)]. 13804 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(66,a,12540,a(flip),b,13803,a)]. 13805 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(66,a,10879,a(flip),b,13804,a),flip(a)]. 13806 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13805(a,1),5520(a,1,2))]. 13808 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(66,a,12136,a,b,13771,a)]. 13809 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(10855,a,13782,a)]. 13810 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(285,a,7986,a,b,13786,a)]. 13812 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(13604,a,13781,a),flip(a)]. 13813 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9743,a,13812,a)]. 13814 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(66,a,10812,a(flip),b,13813,a),flip(a)]. 13815 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(66,a,11908,a(flip),b,13806,a),flip(a)]. 13817 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(90(a,1),13815(a,1,2,2)),flip(a)]. 13818 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(15(a,2),13817(a,1,2))]. 13819 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7937(a,2),13810(a,1,1))]. 13820 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,13798,a),flip(a)]. 13821 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(66,a,6671,a,b,13820,a)]. 13822 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1148(a,1),13809(a,1,2,1))]. 13823 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(168(a,1),13822(a,1,2,2))]. 13824 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(66,a,13712,a(flip),b,13823,a)]. 13825 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(66,a,9317,a(flip),b,13819,a),flip(a)]. 13826 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(12163,a,13825,a)]. 13827 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(66,a,12587,a(flip),b,13826,a)]. 13830 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(285,a,6626,a,b,13808,a),flip(a)]. 13831 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(4084(a,1),13830(a,1,1,2))]. 13832 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(6480(a,1),13831(a,1,1))]. 13833 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3341(a,1),13832(a,1,1))]. 13834 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(9111(a,1),13833(a,1,1))]. 13835 K(x,y * x) != z | K(x,x * y) = z. [para(13834(a,1),3653(a,1)),flip(b)]. 13836 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(6626(a,2),13834(a,1,1))]. 13838 L(K(x,y * x),y,z) = K(x,y * x). [hyper(66,a,8725,a(flip),b,13836,a)]. 13839 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(13838(a,1),6033(a,1,2)),flip(a)]. 13840 L(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,5344,a(flip),b,13839,a),flip(a)]. 13841 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(13840(a,1),11377(a,1,1)),flip(a)]. 13842 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(66,a,13785,a(flip),b,13841,a),flip(a)]. 13845 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(268(a,1),13842(a,2,1,2))]. 13846 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(393(a,1),13842(a,2,1,2))]. 13847 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(5785(a,1),13845(a,1,1))]. 13848 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(15(a,1),13847(a,1,2))]. 13849 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(66,a,13799,a(flip),b,13848,a)]. 13851 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(14(a,1),13849(a,1,1,1,2)),flip(a)]. 13852 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(13849(a,1),5804(a,1,1,1,2))]. 13853 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(66,a,13794,a(flip),b,13851,a)]. 13854 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(66,a,10613,a(flip),b,13853,a),flip(a)]. 13856 (1 / (x * y)) * (T(x,y) * T(T(y,x),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(4113(a,1),13648(a,1,2,2,1))]. 13857 (1 / (x * y)) * (K(y,z) * (x * y)) = K(((1 / (y * x)) * x) \ 1,z). [para(5740(a,1),13856(a,1,2))]. 13858 (1 / (x * y)) * (K(y,z) * (x * y)) = K((((y * x) \ 1) * x) \ 1,z). [hyper(285,a,6705,a(flip),b,13857,a),flip(a)]. 13859 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7486,a,13852,a),flip(a)]. 13861 K((((1 / x) * y) \ 1) / ((x \ 1) * (y * (x / y))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12242(a,1),13663(a,1,1,2))]. 13862 K((((1 / x) * y) \ 1) * (x * (1 / (y * (x / y)))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12349(a,1),13861(a,1,1))]. 13863 K((((1 / x) * y) \ 1) * (x * ((y * (x / y)) \ 1)),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [hyper(66,a,6699,a(flip),b,13862,a)]. 13864 K((((1 / x) * y) \ 1) * K(y \ x,y),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(7258(a,1),13863(a,1,1,2))]. 13865 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ K(x \ y,x),z). [para(11840(a,1),13864(a,1,1)),flip(a)]. 13866 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(T(((1 / y) * x) \ 1,x),z). [para(6163(a,1),13865(a,2,1))]. 13867 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ 1,T(z,x)). [hyper(285,a,7761,a(flip),b,13866,a),flip(a)]. 13868 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((y \ 1) * x) \ 1,T(z,x)). [hyper(285,a,6705,a(flip),b,13867,a),flip(a)]. 13869 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5785(a,1),13846(a,1,1))]. 13870 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(13791(a,1),13869(a,1,1))]. 13871 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(360(a,1),13870(a,1,2)),flip(a)]. 13873 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(66,a,13792,a(flip),b,13871,a),flip(a)]. 13874 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(13873(a,1),6032(a,1,1))]. 13875 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6475(a,1),13873(a,1,1)),flip(a)]. 13876 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(66,a,9335,a,b,13875,a)]. 13877 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(13875(a,1),5302(a,2,2,2))]. 13878 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(5332,a,13874,a),flip(a)]. 13879 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(13775(a,1),13878(a,1,1))]. 13880 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(285,a,11639,a(flip),b,13877,a),flip(a)]. 13881 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(66,a,13784,a(flip),b,13879,a),flip(a)]. 13882 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(453(a,1),13881(a,1,2,1))]. 13883 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(66,a,13775,a(flip),b,13882,a),flip(a)]. 13885 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(8619,a,13883,a)]. 13886 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(285,a,13778,a(flip),b,13883,a),flip(a)]. 13887 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(14(a,1),13883(a,1,2,1,2)),flip(a)]. 13888 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(13605,a,13886,a)]. 13889 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(14(a,1),13886(a,1,2,1,2)),flip(a)]. 13890 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13887(a,1),11408(a,1,1))]. 13891 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(13887(a,1),13737(a,1,2,2)),flip(a)]. 13892 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(13888(a,1),6653(a,1,1)),flip(a)]. 13893 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(6806(a,1),13888(a,1,2,2,1,2))]. 13894 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(13880(a,1),13876(a,1,2,1,1))]. 13895 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(5952(a,1),13894(a,1,2,1))]. 13897 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(13892(a,2),13604(a,1))]. 13898 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(23(a,2),13742(a,1,2,2,2)),flip(a)]. 13899 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(5785(a,1),13890(a,1,2,1,2))]. 13900 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(285,a,7894,a,b,13891,a),flip(a)]. 13901 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13851(a,1),13899(a,1,2,1,2))]. 13902 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(8641,a,13901,a)]. 13904 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(13902(a,2),4222(a,1))]. 13905 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(13889(a,1),13900(a,2,1))]. 13906 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(285,a,10587,a(flip),b,13905,a),flip(a)]. 13907 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(7940(a,1),13906(a,1,2))]. 13908 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(10219,a,13907,a)]. 13909 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(13904,a,13908,a),flip(a)]. 13910 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,10444,a(flip),b,13909,a),flip(a)]. 13911 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,8882,a,b,13910,a)]. 13912 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(13911(a,1),13760(a,1,1))]. 13913 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(13672(a,1),13912(a,1,1)),flip(a)]. 13914 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(13913(a,1),5644(a,1,2,1))]. 13916 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(66,a,5644,a(flip),b,13914,a),flip(a)]. 13917 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13893,a(flip),b,13916,a),flip(a)]. 13918 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(13897,a,13917,a)]. 13919 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13885,a(flip),b,13918,a)]. 13920 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(13(a,1),13919(a,1,2,2,1))]. 13921 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(285,a,7180,a(flip),b,13920,a),flip(a)]. 13922 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(285,a,13859,a(flip),b,13921,a),flip(a)]. 13923 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(13(a,1),13922(a,2,2,2,1))]. 13924 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(66,a,13783,a,b,13923,a)]. 13925 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,13814,a(flip),b,13924,a),flip(a)]. 13927 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3245(a,1),13925(a,1,2))]. 13928 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(13927(a,1),7399(a,1,1,2)),flip(a)]. 13929 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(285,a,7399,a(flip),b,13928,a),flip(a)]. 13930 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13929(a,1),6571(a,1,1,2))]. 13931 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13821(a,1),13930(a,1,1,2))]. 13932 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(78(a,1),13931(a,1,1,2,1,2))]. 13933 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5795(a,1),13932(a,1,1))]. 13934 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(66,a,30,a,b,13933,a)]. 13935 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5719(a,1),13934(a,1,1)),flip(a)]. 13936 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4254,a,13935,a)]. 13937 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(146,a,13936,a)]. 13938 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(13936(a,1),9082(a,1,2))]. 13940 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(66,a,13242,a(flip),b,13937,a),flip(a)]. 13942 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(13937(a,1),11884(a,1,2))]. 13944 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13940(a,1),473(a,1,1)),flip(a)]. 13945 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(12830,a,13942,a),flip(a)]. 13947 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13940(a,1),13942(a,1,2))]. 13948 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(13945(a,1),11872(a,1,2)),flip(a)]. 13949 K(x * L(y,z,u),y) = K(y * x,y). [hyper(285,a,12775,a(flip),b,13948,a),flip(a)]. 13953 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(66,a,10352,a,b,13949,a)]. 13956 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(15(a,1),13953(a,1,1)),flip(a)]. 13957 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(66,a,13794,a(flip),b,13956,a)]. 13959 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(10966,a,13957,a)]. 13963 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10658(a,1),13938(a,1))]. 13964 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(285,a,112,a(flip),b,13944,a),flip(a)]. 13965 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10040(a,1),13964(a,1,1,1)),flip(a)]. 13966 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13964(a,1),13473(a,1,1))]. 13968 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13966(a,1),12880(a,1))]. 13969 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(66,a,13556,a(flip),b,13947,a),flip(a)]. 13970 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(341(a,1),13969(a,1,2,3))]. 13971 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12865,a,13970,a)]. 13972 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13968,a,13971,a)]. 13973 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13553,a(flip),b,13971,a),flip(a)]. 13974 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(15(a,1),13972(a,1,2)),flip(a)]. 13975 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [hyper(124,a,13974,a(flip),b,11754,a),flip(a)]. 13976 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [hyper(124,a,13974,a(flip),b,11743,a),flip(a)]. 13977 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(66,a,10040,a(flip),b,13976,a),flip(a)]. 13978 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13973(a,1),13292(a,1,1))]. 13979 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(66,a,10644,a(flip),b,13978,a)]. 13980 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12940(a,1),13977(a,1,2,1)),flip(a)]. 13981 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(285,a,13975,a,b,13980,a),flip(a)]. 13983 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13981(a,1),13965(a,2,1,1))]. 13984 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(11064(a,1),13755(a,1,1)),flip(a)]. 13985 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(285,a,11974,a(flip),b,13984,a),flip(a)]. 13987 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(285,a,5130,a,b,13985,a),flip(a)]. 13988 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(11970(a,1),13987(a,1,1,1))]. 13989 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(66,a,12216,a,b,13988,a)]. 13990 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7860(a,1),13373(a,1,2,1,2))]. 13991 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((1 / y) * (y / x)),z). [para(5882(a,1),13691(a,2,1,1))]. 13992 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((y \ 1) * (y / x)),z). [hyper(285,a,6732,a(flip),b,13991,a),flip(a)]. 13993 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((y \ 1) * (x \ y)) \ 1,z). [hyper(285,a,6580,a(flip),b,13992,a),flip(a)]. 13994 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(285,a,6749,a(flip),b,13993,a),flip(a)]. 13995 K(x,K(x,x \ y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(5882(a,1),13994(a,1,2,1))]. 13996 K(x,K(x,x \ y) / ((((x \ y) * x) \ 1) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,7185,a(flip),b,13995,a)]. 13997 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(10114(a,1),13990(a,1,2,1,2))]. 13998 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7897(a,1),13997(a,1,2,1,2))]. 13999 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7954(a,1),13998(a,1,2,1,2))]. 14000 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5414(a,2),13999(a,1,2,1))]. 14001 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(66,a,5577,a,b,14000,a)]. 14002 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(10129(a,1),14001(a,1,1)),flip(a)]. 14003 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14002(a,2,2))]. 14004 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14003,a),flip(a)]. 14006 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),13105(a,1,1,1))]. 14007 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12039(a,1),14006(a,1,1))]. 14008 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6423,a,14007,a)]. 14010 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),14008(a,1,2))]. 14011 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),13989(a,1,2,1,1))]. 14012 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14011(a,1,2,1))]. 14013 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7908(a,1),14012(a,1,2,1))]. 14015 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),14013(a,1,2,2,1))]. 14016 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14015(a,1,2,2))]. 14018 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12024(a,1),14016(a,1,2))]. 14019 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(66,a,11966,a(flip),b,14018,a)]. 14020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(66,a,12034,a,b,14019,a)]. 14021 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12023,a(flip),b,14020,a)]. 14022 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12328,a(flip),b,14021,a),flip(a)]. 14023 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(66,a,11979,a(flip),b,14022,a)]. 14024 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(66,a,11088,a(flip),b,14023,a)]. 14025 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(14024(a,1),11962(a,1,1)),flip(a)]. 14026 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(66,a,11170,a(flip),b,14025,a),flip(a)]. 14027 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(11981(a,1),14026(a,1,1)),flip(a)]. 14029 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(14027(a,1),13983(a,2,1))]. 14030 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13974(a,1),14029(a,2,1,1))]. 14032 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(9261(a,1),14030(a,1,1,1))]. 14034 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13053(a,1),14032(a,1,1))]. 14035 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12851(a,1),14034(a,1,1)),flip(a)]. 14036 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(14035(a,1),468(a,1,2))]. 14037 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(13018,a,14036,a),flip(a)]. 14038 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12859(a,1),14037(a,2,2))]. 14040 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(285,a,12863,a(flip),b,14038,a),flip(a)]. 14042 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(55,a,14040,a)]. 14043 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(14042(a,1),12905(a,1,2))]. 14044 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12910(a,1),14043(a,1,1,2,1))]. 14045 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(480,a,14044,a),flip(a)]. 14047 R(a(x,y,x),z,u) = a(x,y,x). [hyper(37,a,12857,a(flip),b,14045,a),flip(a)]. 14048 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(66,a,470,a,b,14047,a)]. 14050 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(66,a,13972,a(flip),b,14047,a)]. 14051 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(66,a,13432,a(flip),b,14047,a),flip(a)]. 14052 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(14047(a,1),112(a,1,1)),flip(a)]. 14054 L(x,y,a(z,u,z)) = x. [para(14047(a,1),14042(a,1,3))]. 14056 L(x,y,a(z,u,z)) != w | x = w. [para(14054(a,1),53(a,2))]. 14057 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(14054(a,1),499(a,1,2))]. 14058 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(14054(a,1),443(a,1,2,1)),flip(a)]. 14061 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(14050(a,1),13203(a,1,1)),flip(a)]. 14062 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(14050(a,1),13979(a,1,2)),flip(a)]. 14063 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(13945(a,2),14061(a,2,1))]. 14066 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5795(a,1),14051(a,1,2)),flip(a)]. 14067 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),19(a,2,1)),flip(a)]. 14068 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12857(a,1),14052(a,1,1))]. 14069 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(285,a,11880,a(flip),b,14063,a),flip(a)]. 14071 L(x,y,L(x,z,u)) = L(x,y,x). [para(352(a,1),14069(a,1,3)),flip(a)]. 14072 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(14071(a,1),35(a,1,1)),flip(a)]. 14074 T(L(x,x \ y,x) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(14071(a,1),11251(a,1,1,1))]. 14077 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(14072(a,1),12891(a,1,1,2))]. 14078 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(285,a,12801,a(flip),b,14062,a),flip(a)]. 14080 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11426,a,14078,a),flip(a)]. 14082 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(66,a,13014,a(flip),b,14080,a)]. 14083 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(66,a,11679,a(flip),b,14082,a)]. 14087 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(66,a,11178,a(flip),b,14083,a)]. 14089 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(285,a,13775,a(flip),b,14087,a),flip(a)]. 14090 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(66,a,11547,a,b,14089,a)]. 14091 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(66,a,11548,a(flip),b,14089,a)]. 14093 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1166(a,1),14090(a,1,2,2))]. 14095 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(66,a,10612,a(flip),b,14091,a),flip(a)]. 14096 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(16(a,1),14095(a,1,2,2,2,1)),flip(a)]. 14097 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(14096(a,1),10223(a,1,2))]. 14098 T(x / T(y,x),L(y,z,u)) = y \ T(x,L(y,z,u)). [para(7646(a,1),14074(a,1,1))]. 14100 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(285,a,13778,a(flip),b,14093,a),flip(a)]. 14101 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(15(a,1),14100(a,1,2,2,2,1))]. 14102 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(13251,a,14101,a),flip(a)]. 14103 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12938(a,1),14048(a,1,1,1))]. 14105 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(27(a,2),14102(a,1,2,2,1))]. 14106 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(66,a,10487,a(flip),b,14105,a),flip(a)]. 14107 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(285,a,6638,a(flip),b,14106,a),flip(a)]. 14108 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(14107(a,1),11428(a,1,1,2)),flip(a)]. 14109 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(66,a,13488,a(flip),b,14066,a)]. 14110 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(112(a,1),14103(a,1,1))]. 14111 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(11543(a,1),14097(a,1,1))]. 14112 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(14052(a,1),14058(a,2,1))]. 14113 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(285,a,14057,a(flip),b,14112,a),flip(a)]. 14114 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(25(a,2),14113(a,2,2))]. 14115 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(14054(a,1),14114(a,1,2))]. 14116 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14067(a,1,2,1))]. 14117 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5392(a,1),14109(a,2,2))]. 14118 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12808,a,14117,a)]. 14119 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14116(a,1,2))]. 14120 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(770,a,14119,a)]. 14121 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(14056,a,14120,a),flip(a)]. 14123 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12799(a,1),14121(a,1,1))]. 14124 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12810(a,1),14121(a,1,1))]. 14125 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12796(a,1),14121(a,1,1))]. 14126 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(15(a,1),14123(a,1,1,1)),flip(a)]. 14127 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(8174(a,2),14125(a,2,1)),flip(a)]. 14128 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(7219(a,1),14126(a,1,1))]. 14129 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(7241(a,1),14127(a,2,1))]. 14130 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(285,a,14128,a(flip),b,14129,a),flip(a)]. 14131 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(115(a,1),14130(a,1,1,1,2))]. 14132 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(66,a,14124,a(flip),b,14131,a),flip(a)]. 14133 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4596(a,1),14132(a,1,1)),flip(a)]. 14134 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6092(a,1),14132(a,1,1))]. 14135 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(13035(a,2),14133(a,2,1)),flip(a)]. 14136 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(66,a,14132,a(flip),b,14134,a)]. 14137 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(66,a,14132,a(flip),b,14136,a),flip(a)]. 14138 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(66,a,14132,a(flip),b,14137,a)]. 14139 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6107(a,1),14135(a,2,1))]. 14140 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(285,a,14133,a(flip),b,14139,a),flip(a)]. 14141 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(13035(a,1),14140(a,1,1))]. 14142 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(285,a,14138,a(flip),b,14141,a),flip(a)]. 14143 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5830(a,1),13739(a,1,1))]. 14144 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(15(a,1),14143(a,1,2,2,1,2))]. 14146 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8749(a,1),14144(a,1,2))]. 14147 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(12907(a,1),12915(a,2,2,1,1))]. 14148 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(285,a,1535,a(flip),b,14147,a),flip(a)]. 14149 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1726(a,1),14148(a,2,2))]. 14150 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(820(a,1),14149(a,2,2,1))]. 14151 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),14150(a,2,2,1,2))]. 14152 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1535(a,1),14151(a,1,1))]. 14153 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(14115(a,2),14152(a,1,1,2))]. 14154 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(15(a,1),14153(a,1,1,2,1)),flip(a)]. 14155 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(14047(a,1),12811(a,1,1,1)),flip(a)]. 14156 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12946(a,1),14155(a,2,1))]. 14158 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(662(a,1),14156(a,2,1,2,1))]. 14159 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5157(a,1),14158(a,2,1))]. 14160 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(285,a,23,a,b,14159,a),flip(a)]. 14161 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(14047(a,1),14160(a,1,3))]. 14162 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(14056,a,14161,a),flip(a)]. 14165 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(15(a,1),14162(a,1,3,1)),flip(a)]. 14166 L(x,y / z,K(y,z)) = x. [hyper(7748,a,14165,a)]. 14167 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(14166(a,1),5651(a,1,2)),flip(a)]. 14168 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5452,a,14167,a)]. 14169 R(K(x,y),x \ y,z) = K(x,y). [hyper(9006,a,14168,a)]. 14170 R(K(x,x * y),y,z) = K(x,x * y). [para(14(a,1),14169(a,1,2))]. 14172 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(14170(a,1),12676(a,2,2))]. 14173 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(285,a,5130,a,b,14172,a),flip(a)]. 14175 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(66,a,4831,a(flip),b,14173,a)]. 14176 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(17(a,1),14175(a,1,2,1,2))]. 14177 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(66,a,10869,a,b,14176,a)]. 14178 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(285,a,5130,a(flip),b,14177,a)]. 14179 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(37,a,9480,a,b,14178,a)]. 14180 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(37,a,5130,a(flip),b,14178,a)]. 14181 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(66,a,10224,a,b,14179,a)]. 14182 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(66,a,10854,a(flip),b,14180,a)]. 14183 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(14180(a,1),8052(a,1,1,2))]. 14184 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(25(a,2),14182(a,1,2,1)),flip(a)]. 14185 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(14182(a,1),7399(a,1,1,2))]. 14186 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(7411,a,14185,a),flip(a)]. 14187 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(66,a,13827,a(flip),b,14186,a),flip(a)]. 14188 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(25(a,2),14186(a,1,1,1)),flip(a)]. 14189 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(3064(a,1),14186(a,2,1,2))]. 14190 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(15(a,1),14187(a,1,1,2,1)),flip(a)]. 14191 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(66,a,10393,a,b,14190,a)]. 14192 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(14191(a,1),13278(a,1,1))]. 14193 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(13779(a,1),14181(a,1,2))]. 14194 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(66,a,14111,a(flip),b,14193,a)]. 14195 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(66,a,11203,a(flip),b,14194,a),flip(a)]. 14196 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7995(a,1),14192(a,1,2))]. 14197 a(x,y / z,x) = a(x,z \ y,x). [hyper(12802,a,14196,a)]. 14198 a(x,(y \ z) \ z,x) = a(x,y,x). [para(87(a,1),14197(a,1,2)),flip(a)]. 14199 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(113(a,2),14197(a,1,2))]. 14200 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14197(a,1,2))]. 14201 a(x,T(y,z),x) = a(x,y,x). [para(4140(a,2),14198(a,1,2))]. 14202 a(x,y * K(z,y),x) = a(x,y,x). [para(5930(a,1),14198(a,1,2)),flip(a)]. 14203 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(13081(a,1),14198(a,1,2)),flip(a)]. 14204 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(285,a,13481,a,b,14201,a),flip(a)]. 14205 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14201(a,1),12812(a,1,1))]. 14206 L(a(x,y,x),y,z) = a(x,y,x). [hyper(66,a,14051,a(flip),b,14202,a)]. 14208 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14206(a,1),14118(a,1,1))]. 14209 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(66,a,14203,a(flip),b,14199,a)]. 14211 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(14209(a,2),12874(a,1,2,1)),flip(a)]. 14212 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(66,a,14184,a(flip),b,14195,a),flip(a)]. 14213 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(66,a,11463,a(flip),b,14212,a),flip(a)]. 14214 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(285,a,14197,a(flip),b,14208,a),flip(a)]. 14216 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(23(a,2),14214(a,2,2))]. 14217 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(453(a,1),14216(a,2,2))]. 14218 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8054,a,14183,a),flip(a)]. 14219 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(66,a,9394,a(flip),b,14218,a)]. 14220 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10877,a,14219,a)]. 14221 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14220(a,1),14146(a,1,2))]. 14222 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(16(a,1),14189(a,1,1,1)),flip(a)]. 14223 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(285,a,6690,a(flip),b,14222,a),flip(a)]. 14225 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(13284,a,14204,a)]. 14226 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(285,a,7681,a(flip),b,14225,a),flip(a)]. 14228 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8239(a,2),14226(a,2,1)),flip(a)]. 14229 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5785(a,2),14228(a,1,1,1))]. 14230 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(66,a,12176,a,b,14229,a)]. 14231 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(37,a,8481,a,b,14230,a)]. 14232 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(66,a,13788,a,b,14231,a)]. 14233 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5150(a,1),14232(a,1,1,2))]. 14234 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(15(a,1),14217(a,1,2))]. 14235 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(212(a,1),14234(a,2,2))]. 14236 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8215(a,1),14233(a,1,1))]. 14237 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5150(a,1),14236(a,2,2))]. 14239 R(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,8215,a(flip),b,14237,a),flip(a)]. 14241 R(K(x * y,x),y,z) = K(y * x,x). [para(5785(a,1),14239(a,1,1))]. 14242 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(66,a,1688,a,b,14241,a)]. 14243 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(19(a,2),14200(a,2,2))]. 14244 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(12900(a,2),14235(a,1,1,2,1))]. 14245 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8366(a,1),14221(a,1,2)),flip(a)]. 14246 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(285,a,5520,a(flip),b,14245,a),flip(a)]. 14247 L(x,y / z,x) = L(x,z \ y,x). [hyper(66,a,13818,a(flip),b,14246,a),flip(a)]. 14249 L(x,(y \ z) \ z,x) = L(x,y,x). [para(87(a,1),14247(a,1,2)),flip(a)]. 14250 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5379(a,2),14247(a,1,2))]. 14251 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14247(a,1,2))]. 14253 L(x,y * K(z,y),x) = L(x,y,x). [para(5930(a,1),14249(a,1,2)),flip(a)]. 14256 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5798(a,1),14253(a,1,2))]. 14258 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(66,a,14256,a(flip),b,14250,a),flip(a)]. 14261 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(19(a,2),14251(a,2,2))]. 14262 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7729(a,1),14242(a,1,1,1))]. 14263 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9695(a,1),14262(a,1,1,1))]. 14264 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(112(a,1),14263(a,1,1))]. 14265 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13173(a,1),14205(a,1,1))]. 14267 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13562(a,1),14265(a,1,1))]. 14268 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(14(a,1),14267(a,1,1,1))]. 14269 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(14(a,1),14268(a,1,1,3)),flip(a)]. 14270 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6404(a,1),14269(a,2,2))]. 14271 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(14(a,1),14270(a,2,2,2))]. 14272 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5316(a,1),14271(a,2,2))]. 14273 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(285,a,12799,a(flip),b,14272,a),flip(a)]. 14274 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6548,a,14273,a)]. 14275 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(14(a,1),14274(a,1,2))]. 14276 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(66,a,6688,a(flip),b,14275,a)]. 14277 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(10230,a,14276,a)]. 14279 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(15(a,1),14277(a,2,1))]. 14280 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(66,a,11375,a(flip),b,14279,a),flip(a)]. 14282 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(66,a,6694,a(flip),b,14280,a)]. 14283 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(66,a,7320,a(flip),b,14282,a)]. 14285 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(66,a,8378,a,b,14283,a)]. 14286 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(15(a,1),14283(a,1,1,2,1)),flip(a)]. 14288 K((x / y) \ z,x / y) = K(z * (x \ y),x / y). [para(17(a,1),14285(a,1,1,2,1)),flip(a)]. 14289 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14285(a,1),13738(a,1,1,1,2))]. 14290 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(285,a,12458,a,b,14286,a),flip(a)]. 14291 K((x / y) \ z,x / y) = K(z * (y / x),x / y). [hyper(285,a,12459,a,b,14288,a),flip(a)]. 14292 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K(u * (x / y),x \ y)) \ y. [para(14290(a,1),9409(a,2,1,2))]. 14293 K((x \ y) \ z,y / x) = K(z * (x / y),y / x). [hyper(66,a,7618,a(flip),b,14291,a)]. 14294 K(x / (y \ z),z / y) = K(x * (y / z),z / y). [hyper(66,a,8351,a,b,14293,a)]. 14295 1 / (((x / y) \ 1) \ K(z * (x / y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(14294(a,1),10325(a,1,2,2))]. 14296 1 / (T((x / y) \ 1,z * (x / y)) \ 1) = T((x / y) \ 1,(x \ y) \ z). [para(5716(a,1),14295(a,1,2))]. 14297 T((x / y) \ 1,(x \ y) \ z) = T((x / y) \ 1,z * (x / y)). [hyper(297,a,14296,a)]. 14299 ((x / y) * T((x / y) \ 1,z * (x / y))) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(14297(a,1),10263(a,1,1,2))]. 14300 K((x / y) \ 1,z * (x / y)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(5126(a,1),14299(a,1,1))]. 14301 K(x / (y \ z),(y / z) \ 1) = K(z / y,x * (y / z)) \ 1. [para(5830(a,1),14300(a,1,1)),flip(a)]. 14302 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = T(x \ y,u * (x / y)). [hyper(285,a,7461,a(flip),b,14292,a),flip(a)]. 14303 T(x \ y,z * (x / y)) = ((x \ y) \ z) \ z. [hyper(66,a,3637,a(flip),b,14302,a),flip(a)]. 14304 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z,u) * (x / y)). [hyper(285,a,13626,a,b,14303,a)]. 14305 ((((x \ y) \ z) \ z) * u) \ ((x \ y) * u) = K(z * (x / y),T(x \ y,u)). [para(14303(a,1),7435(a,1,1,1))]. 14306 K((x \ y) \ z,T(x \ y,u)) = K(z * (x / y),T(x \ y,u)). [hyper(66,a,7502,a(flip),b,14305,a)]. 14307 (x * K(y * (x / z),T(x \ z,u))) \ z = T(x \ z,T((x \ z) \ y,u)). [para(14306(a,1),7784(a,1,1,2))]. 14308 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z * (x / y),u)). [hyper(7785,a,14307,a),flip(a)]. 14309 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (x / y)). [hyper(66,a,14304,a(flip),b,14308,a),flip(a)]. 14310 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(271(a,1),14289(a,1,1,1))]. 14312 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8472(a,1),14310(a,1,1))]. 14313 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(115(a,1),14312(a,1,2,2,2))]. 14314 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9783(a,1),14313(a,1,2))]. 14315 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3604(a,1),14314(a,1,2))]. 14316 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(66,a,13610,a(flip),b,14315,a)]. 14317 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(66,a,10433,a(flip),b,14316,a)]. 14318 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(189(a,1),14317(a,1,2)),flip(a)]. 14319 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(66,a,12506,a,b,14318,a)]. 14322 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(66,a,7598,a(flip),b,14319,a)]. 14324 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(66,a,8381,a(flip),b,14322,a),flip(a)]. 14325 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(17(a,1),14322(a,1,2,2,2)),flip(a)]. 14326 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(285,a,12461,a(flip),b,14324,a),flip(a)]. 14328 K(x / y,z * (y / x)) = K(y \ x,y / (x / z)). [hyper(66,a,13757,a(flip),b,14325,a),flip(a)]. 14329 K(x \ y,z * (y \ x)) * (x \ y) = T(x \ y,z / (x \ y)). [para(14326(a,1),5266(a,1,1))]. 14330 K(x / y,z * (x \ y)) = K(y \ x,y / (x / z)). [hyper(66,a,12492,a(flip),b,14328,a)]. 14331 K(x / (y \ z),(y / z) \ 1) = K(y \ z,y / (z / x)) \ 1. [para(14328(a,1),14301(a,2,1))]. 14332 T(x \ y,z / (x \ y)) = T(x \ y,z * (y \ x)). [hyper(5259,a,14329,a),flip(a)]. 14333 T(x \ y,z * (y \ x)) = ((x \ y) \ z) \ z. [hyper(4167,a,14332,a),flip(a)]. 14334 T(x \ y,z * (x / y)) = T(x \ y,z * (y \ x)). [hyper(285,a,14303,a,b,14333,a)]. 14335 K(T(x \ y,z * (y \ x)),u) = K(x \ y,T(u,z)). [para(14333(a,2),7687(a,1,1))]. 14336 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14309,a,b,14334,a)]. 14337 (x * T(y \ z,u * (z \ y))) / T(x,y \ z) = T(y \ z,T(u * (y / z),x)). [para(14334(a,1),8359(a,1,1,2))]. 14338 K(x / (y \ z),(y / z) \ 1) = K(y / (z / x),y \ z) * 1. [hyper(285,a,5334,a(flip),b,14331,a),flip(a)]. 14339 K(x / (y \ z),(y / z) \ 1) = K((z / x) \ y,z / y) * 1. [para(7744(a,1),14338(a,2,1))]. 14340 K(x / (y \ z),z / y) = K((z / x) \ y,z / y). [hyper(5756,a,14339,a)]. 14341 K((x / y) \ z,x / z) = K(y * (z / x),x / z). [hyper(66,a,14294,a(flip),b,14340,a),flip(a)]. 14342 K((x / y) \ z,x / z) = K(y * (x \ z),x / z). [hyper(285,a,12459,a(flip),b,14341,a),flip(a)]. 14343 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z * (y \ x),u)). [hyper(8364,a,14337,a),flip(a)]. 14345 T(x \ y,T(z * (y \ x),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14336,a(flip),b,14343,a),flip(a)]. 14346 K(T(x \ y,T(z * (y \ x),u)),w) = K(x \ y,T(w,T(z,u))). [para(14345(a,2),14335(a,1,1))]. 14347 K(x \ y,T(z,T(u * (y \ x),w))) = K(x \ y,T(z,T(u,w))). [hyper(8426,a,14346,a)]. 14348 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(285,a,11103,a(flip),b,14108,a),flip(a)]. 14350 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(285,a,11108,a(flip),b,14348,a),flip(a)]. 14351 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(13168,a,14350,a)]. 14352 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(14351(a,1),11723(a,1,1,2)),flip(a)]. 14353 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(285,a,11723,a(flip),b,14352,a),flip(a)]. 14354 a(x,y,K(x * z,z)) = 1. [hyper(66,a,9105,a(flip),b,14353,a),flip(a)]. 14355 L(K(x * y,y),z,x) = K(x * y,y). [hyper(55,a,14354,a)]. 14356 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(14355(a,1),7707(a,2,1))]. 14357 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10145(a,1),14356(a,1,2,2))]. 14358 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7682(a,1),14357(a,1,2)),flip(a)]. 14359 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(303,a,14358,a),flip(a)]. 14360 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(66,a,12884,a(flip),b,14358,a),flip(a)]. 14361 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12861(a,1),14360(a,1,2)),flip(a)]. 14362 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(303,a,14361,a),flip(a)]. 14363 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(66,a,14068,a,b,14361,a)]. 14364 L(x,a(y,z,y),z) = x. [hyper(445,a,14363,a)]. 14365 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(14363(a,1),14110(a,1,1,1))]. 14366 L(x,K(y,z),z \ y) = x. [hyper(13513,a,14364,a)]. 14367 L(x,K(y,z),y / z) = x. [hyper(10026,a,14366,a)]. 14370 L(x,K(y * z,z),y) = x. [para(16(a,1),14367(a,1,3))]. 14371 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1176,a,14370,a),flip(a)]. 14372 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(14371(a,1),14264(a,1,1,1))]. 14373 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(15(a,1),14365(a,1,2,1))]. 14374 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(14362(a,1),14373(a,1,1,1)),flip(a)]. 14375 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(285,a,25,a,b,14374,a),flip(a)]. 14376 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(14(a,1),14375(a,1,2,2)),flip(a)]. 14377 a(x,R(y,z,u),x) = a(x,y,x). [hyper(66,a,14047,a(flip),b,14376,a),flip(a)]. 14379 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(66,a,14243,a(flip),b,14377,a),flip(a)]. 14380 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(14377(a,1),13072(a,1,1)),flip(a)]. 14381 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(14377(a,1),14211(a,2,2,1))]. 14383 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5379(a,1),14379(a,1,2,2))]. 14384 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(285,a,13072,a(flip),b,14380,a),flip(a)]. 14385 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(14384(a,1),12188(a,1,2))]. 14386 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(285,a,12874,a(flip),b,14381,a),flip(a)]. 14388 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(66,a,14258,a(flip),b,14386,a)]. 14390 L(x,R(y,z,u),x) = L(x,y,x). [para(14(a,1),14388(a,2,2))]. 14393 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(66,a,14261,a(flip),b,14390,a),flip(a)]. 14395 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(727(a,1),14385(a,1,2)),flip(a)]. 14397 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(14395(a,1),5123(a,2,2)),flip(a)]. 14398 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(66,a,12149,a(flip),b,14397,a)]. 14399 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(14359(a,1),14372(a,1,1,1)),flip(a)]. 14400 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(285,a,25,a,b,14399,a),flip(a)]. 14401 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5786,a,14400,a)]. 14402 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5785(a,1),14401(a,2,1))]. 14403 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(110(a,1),14402(a,1,1,2))]. 14404 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(3061(a,1),14403(a,1,1,2,2,1))]. 14405 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(13418(a,1),14383(a,1,2)),flip(a)]. 14406 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(285,a,14379,a(flip),b,14405,a),flip(a)]. 14407 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(5404(a,1),14406(a,1,2))]. 14408 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(66,a,14244,a,b,14407,a)]. 14409 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(66,a,14188,a(flip),b,14404,a),flip(a)]. 14410 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(285,a,6714,a(flip),b,14409,a),flip(a)]. 14411 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(14223(a,1),14410(a,1,1))]. 14412 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14411(a,1),13090(a,1,2,2))]. 14415 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(66,a,7989,a(flip),b,14412,a),flip(a)]. 14416 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14415(a,1),7531(a,1,1,2))]. 14417 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(7783,a,14416,a),flip(a)]. 14418 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7761(a,1),14417(a,1,1))]. 14419 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(285,a,8988,a,b,14418,a)]. 14420 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(12481(a,1),14419(a,2,1))]. 14421 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3352(a,1),14420(a,1,1))]. 14424 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(6424(a,1),14421(a,1,2))]. 14425 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(125,a,14424,a),flip(a)]. 14426 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6428(a,1),14425(a,1,1)),flip(a)]. 14427 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(13084(a,1),14425(a,1,1))]. 14428 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14426(a,1),14427(a,1,1)),flip(a)]. 14429 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(66,a,14213,a(flip),b,14428,a),flip(a)]. 14430 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4413(a,1),14429(a,1,1))]. 14433 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14430(a,1),9790(a,1,1,1,2))]. 14438 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12033,a,14433,a)]. 14439 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(79(a,1),14438(a,1,2))]. 14440 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(133,a,14439,a),flip(a)]. 14443 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(285,a,13729,a(flip),b,14440,a),flip(a)]. 14446 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(14440(a,1),14010(a,1,1,2))]. 14449 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14443(a,1),6184(a,1,2,1))]. 14450 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5454,a,14449,a),flip(a)]. 14452 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(66,a,12013,a(flip),b,14446,a),flip(a)]. 14453 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(285,a,12267,a(flip),b,14452,a),flip(a)]. 14454 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(285,a,13392,a(flip),b,14453,a),flip(a)]. 14455 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6423,a,14454,a)]. 14457 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5334(a,1),14455(a,1,2))]. 14458 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(14457(a,1),5310(a,1,1))]. 14459 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(13408(a,1),14458(a,1,2))]. 14460 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(125,a,14459,a)]. 14461 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7907(a,1),14459(a,1,2,1))]. 14462 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5452,a,14460,a)]. 14463 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6090(a,1),14460(a,1,2))]. 14465 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9018(a,1),14460(a,1,2))]. 14466 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(14460(a,1),10949(a,2,2))]. 14467 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(14460(a,1),11784(a,1,1,2))]. 14468 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(14460(a,1),11994(a,2,2))]. 14469 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(14460(a,1),12293(a,1,3))]. 14471 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(14469(a,1),265(a,1,2))]. 14472 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(14462(a,1),10031(a,1,1)),flip(a)]. 14473 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(14465(a,1),5522(a,1,2)),flip(a)]. 14474 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(14465(a,1),14398(a,1,1))]. 14475 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(66,a,11593,a,b,14466,a)]. 14476 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(66,a,8501,a,b,14466,a)]. 14477 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(14460(a,1),14467(a,1,2))]. 14479 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(122,a,117,a(flip),b,14477,a)]. 14480 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7721,a,14473,a)]. 14481 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(14480(a,2),46(a,1))]. 14482 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(285,a,14132,a(flip),b,14463,a),flip(a)]. 14483 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(66,a,12051,a(flip),b,14463,a)]. 14484 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(10157(a,1),14461(a,1,2,2))]. 14485 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12025(a,1),14484(a,1,2))]. 14486 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(14(a,1),14475(a,1,2,1,2,1))]. 14488 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6682(a,1),14486(a,1,2))]. 14489 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6529(a,2),14488(a,1,1))]. 14490 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(285,a,14137,a(flip),b,14483,a),flip(a)]. 14491 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(14482(a,1),14490(a,1,1)),flip(a)]. 14492 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6547(a,1),14489(a,1,2))]. 14493 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14440(a,1),14492(a,1,2,2))]. 14494 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8829,a,14493,a)]. 14495 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(66,a,9832,a,b,14494,a)]. 14496 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3186(a,1),14495(a,1,1))]. 14497 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(14481,a,14496,a)]. 14498 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(285,a,14476,a(flip),b,14472,a),flip(a)]. 14499 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(14471,a,14498,a)]. 14500 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5360(a,1),14499(a,1,2))]. 14501 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7991(a,1),14500(a,1,1,1)),flip(a)]. 14502 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(225,a,14501,a),flip(a)]. 14503 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(285,a,14474,a(flip),b,14502,a)]. 14504 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(168(a,1),14503(a,2,1,2))]. 14505 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(66,a,4413,a,b,14504,a)]. 14506 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(17(a,1),14504(a,1,1))]. 14507 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(66,a,9676,a(flip),b,14506,a)]. 14508 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(66,a,13824,a(flip),b,14507,a)]. 14509 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5323(a,1),14508(a,2,1))]. 14510 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(285,a,14126,a(flip),b,14509,a),flip(a)]. 14511 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(66,a,9232,a(flip),b,14510,a)]. 14512 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(66,a,6675,a(flip),b,14510,a)]. 14513 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(14504(a,1),14505(a,1,1))]. 14514 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14491,a,b,14513,a)]. 14515 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14142,a(flip),b,14514,a)]. 14516 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(14154(a,1),14511(a,1,1))]. 14517 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(14(a,1),14516(a,1,2))]. 14518 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5223,a,14517,a),flip(a)]. 14520 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5075(a,1),14512(a,1,1))]. 14521 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(14(a,1),14520(a,1,2,2))]. 14523 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14393(a,1),14521(a,1,2))]. 14524 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(66,a,5738,a(flip),b,14523,a)]. 14525 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(14518(a,2),14524(a,1,1))]. 14526 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(13540,a,14525,a)]. 14527 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) * K(x * (L(z,u,w) \ y),y \ L(z,u,w))) / y,z). [para(6420(a,1),12467(a,2,1,1))]. 14528 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) / y) * K(x * (L(z,u,w) \ y),L(z,u,w) / y),z). [para(6422(a,1),14527(a,2,1))]. 14529 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x * (L(z,u,w) \ y))). [hyper(285,a,8027,a(flip),b,14528,a),flip(a)]. 14530 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x)). [hyper(285,a,11565,a(flip),b,14529,a),flip(a)]. 14531 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(y \ L(z,u,w),T(z,x)). [hyper(285,a,7745,a(flip),b,14530,a),flip(a)]. 14532 K(K(x * (y / L(z,u,w)),(y / L(z,u,w)) \ 1) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5696(a,2),14531(a,1,1))]. 14533 K(K(x * (y / L(z,u,w)),L(z,u,w) / y) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5708(a,1),14532(a,1,1,1))]. 14534 K(K(x * (L(y,z,u) \ w),L(y,z,u) / w) / (w / L(y,z,u)),y) = K(w \ L(y,z,u),T(y,x)). [para(12459(a,1),14533(a,1,1,1))]. 14535 K((x / K(y * (L(z,u,w) \ x),L(z,u,w) / x)) \ L(z,u,w),z) = K(x \ L(z,u,w),T(z,y)). [hyper(66,a,13455,a(flip),b,14534,a)]. 14536 K((x * K(L(y,z,u) / x,w * (L(y,z,u) \ x))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(7396(a,1),14535(a,1,1,1))]. 14537 K((x * K(x \ L(y,z,u),x / (L(y,z,u) / w))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(14330(a,1),14536(a,1,1,1,2))]. 14538 K((x \ L(y,z,u)) * K(x / (L(y,z,u) / w),x \ L(y,z,u)),y) = K(x \ L(y,z,u),T(y,w)). [para(6453(a,1),14537(a,1,1))]. 14539 K((x \ L(y,z,u)) * K((L(y,z,u) / w) \ x,L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(7744(a,1),14538(a,1,1,2))]. 14540 K((x \ L(y,z,u)) * K(w * (L(y,z,u) \ x),L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(14342(a,1),14539(a,1,1,2))]. 14541 K(x \ L(y,z,u),T(y,T(w * (L(y,z,u) \ x),x))) = K(x \ L(y,z,u),T(y,w)). [hyper(11011,a,14540,a)]. 14542 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,14347,a(flip),b,14541,a)]. 14543 K(x \ L(y,z,u),T(y,w * x)) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,10521,a(flip),b,14542,a)]. 14544 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,12701,a,b,14543,a)]. 14545 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * L(T(z,x * y),u,w)) = K(y \ L(z,u,w),T(z,x)). [para(15(a,1),14544(a,1,2,2))]. 14546 K((x * L(T(y,x * z),u,w)) / (x * z),y) = K(z \ L(y,u,w),T(y,x)). [hyper(10994,a,14545,a)]. 14548 K(((x * y) / x) \ L(z,u,w),z) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,13458,a(flip),b,14546,a)]. 14549 K(L(x,y,z) * (u \ K(u,w)),x) = K(u \ L(x,y,z),T(x,w)). [hyper(66,a,13446,a(flip),b,14548,a)]. 14550 K(x \ L(y,z,u),T(y,w)) = K(y * (x \ K(x,w)),y). [hyper(66,a,13953,a(flip),b,14549,a),flip(a)]. 14552 K(x \ L(y,z,u),T(y,w)) = K(x \ y,T(y,w)). [hyper(285,a,12110,a(flip),b,14550,a),flip(a)]. 14553 K((x / y) \ z,T(z,y)) = K(x \ (L(z,u,w) * y),z). [hyper(13465,a,14552,a),flip(a)]. 14555 K(x \ (L(y,z,u) * w),y) = K(y * (x \ w),y). [hyper(66,a,13793,a(flip),b,14553,a),flip(a)]. 14556 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [hyper(11095,a,14555,a)]. 14558 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(66,a,9347,a(flip),b,14556,a)]. 14559 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(285,a,13800,a(flip),b,14558,a),flip(a)]. 14560 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(66,a,13854,a(flip),b,14559,a)]. 14561 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(23(a,2),14560(a,2,1))]. 14562 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(13963,a,14561,a),flip(a)]. 14563 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(66,a,8727,a(flip),b,14562,a)]. 14564 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(7671,a,14563,a),flip(a)]. 14565 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(285,a,13730,a(flip),b,14563,a),flip(a)]. 14566 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(14563(a,1),13050(a,1,2,2))]. 14567 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(14563(a,1),13895(a,1,2,1,2,1))]. 14568 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(16(a,1),14565(a,1,1,2)),flip(a)]. 14569 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(13835,a,14568,a)]. 14570 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(285,a,9097,a(flip),b,14569,a),flip(a)]. 14573 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11406(a,1),14566(a,1,2))]. 14574 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(5576,a,14573,a)]. 14575 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(452(a,1),14564(a,1,2)),flip(a)]. 14576 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(14575(a,1),2732(a,1,2,2,2)),flip(a)]. 14577 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5152(a,1),14567(a,1,2,1))]. 14578 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(66,a,9335,a(flip),b,14577,a),flip(a)]. 14579 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(66,a,14563,a(flip),b,14578,a),flip(a)]. 14580 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(14578(a,1),11108(a,1,2))]. 14582 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(122,a,14579,a(flip),b,14450,a)]. 14583 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(452(a,1),14579(a,1,1)),flip(a)]. 14584 K(x,y) * (x \ K(z,L(x,u,w))) = T(x,L(z,u,w)) \ K(x,y). [para(14579(a,1),5848(a,1,2,2))]. 14585 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(11133,a,14580,a)]. 14586 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(14585(a,1),11159(a,2,2))]. 14587 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14582(a,1),9638(a,1,2,1))]. 14588 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(452(a,1),14583(a,1,2))]. 14589 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8035(a,1),14587(a,1,2,1,1))]. 14590 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(15(a,1),14588(a,1,2)),flip(a)]. 14591 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(66,a,7194,a(flip),b,14589,a)]. 14592 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(15(a,1),14590(a,1,1)),flip(a)]. 14593 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1283(a,1),14591(a,1,2,1,1))]. 14594 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(285,a,7181,a,b,14592,a),flip(a)]. 14595 T(x,y) / T(x / T(y,x),L(y,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(4120(a,1),14586(a,1,2,1))]. 14596 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(124,a,14593,a(flip),b,10505,a(flip)),flip(a)]. 14597 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = (K(x,y) \ 1) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(14584(a,1),11292(a,1,2,2)),flip(a)]. 14598 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(66,a,6691,a(flip),b,14594,a),flip(a)]. 14599 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(90(a,1),14598(a,1,2,1)),flip(a)]. 14600 T(x,y) / (y \ T(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(14098(a,1),14595(a,1,2))]. 14601 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(7147(a,1),14576(a,2,2,2,2))]. 14602 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2515(a,1),14601(a,2,2))]. 14603 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(90(a,1),14602(a,1,2,2,2,2,1,1,2))]. 14604 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(7662(a,1),14603(a,1,2,2,2)),flip(a)]. 14605 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2515(a,1),14604(a,2,2))]. 14606 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(15(a,1),14605(a,1,2,2)),flip(a)]. 14607 K(x,y \ ((y \ 1) \ z)) = y \ ((1 / y) \ K(x,z)). [hyper(128,a,14606,a),flip(a)]. 14608 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(14606(a,1),7399(a,1,1)),flip(a)]. 14609 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(66,a,14599,a(flip),b,14608,a)]. 14610 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14597(a,2,1))]. 14611 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (K(y,x) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14610(a,2,2,1))]. 14612 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (T(x,L(z,u,w)) \ 1). [para(10258(a,1),14611(a,2,2))]. 14613 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) * T(x,L(z,u,w)). [hyper(285,a,4398,a(flip),b,14612,a),flip(a)]. 14615 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(y,x) \ 1) = K(x,y) * T(y,L(z,u,w)). [para(5344(a,1),14613(a,1,1))]. 14616 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(x,y)) = K(x,y) * T(y,L(z,u,w)). [para(5320(a,1),14615(a,1,2,3))]. 14617 K(x,y) / (y \ K(z,L(y,u,w))) = K(x,y) * T(y,L(z,u,w)). [para(5333(a,1),14616(a,1,2))]. 14620 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (a(z,u,z) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(13505(a,1),12797(a,2,1,1))]. 14621 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (K(z,u) * y) \ (K(z,u) * (y * x)). [para(12856(a,1),14620(a,2,1))]. 14624 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = L(x,y,K(z,u)). [hyper(285,a,23,a,b,14621,a),flip(a)]. 14625 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(13505(a,1),14624(a,1,3))]. 14626 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(15(a,1),14625(a,1,1,3,2))]. 14629 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [hyper(14056,a,14626,a),flip(a)]. 14631 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5339(a,1),14629(a,1,3)),flip(a)]. 14632 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(285,a,14165,a(flip),b,14631,a),flip(a)]. 14633 L(x,y \ 1,K(y,z)) = x. [hyper(13167,a,14632,a),flip(a)]. 14634 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(14633(a,1),5632(a,1,2)),flip(a)]. 14635 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = (x \ K(x,y)) * z. [hyper(66,a,6146,a,b,14634,a)]. 14636 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ K(x \ y,y \ x)) * y,z). [para(14635(a,1),12354(a,1,1)),flip(a)]. 14637 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(285,a,6733,a(flip),b,14636,a),flip(a)]. 14639 K(x,(T((x \ y) \ 1,x \ y) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7187,a(flip),b,14637,a)]. 14640 K(x,(((x \ y) \ 1) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7178,a(flip),b,14639,a)]. 14641 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = K(((x \ y) \ 1) * y,z). [hyper(66,a,11838,a(flip),b,14640,a)]. 14643 ((L(x,y \ 1,y) / y) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4722(a,1),6178(a,1,1,1))]. 14644 ((L(x,y \ 1,y) / y) \ (x * K(y,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(3341(a,1),14643(a,1,1,2,2))]. 14645 ((L(x,y \ 1,y) / y) \ (x * K(y,y \ x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4664(a,1),14644(a,1,1,2,2))]. 14646 ((L(x,y \ 1,y) / y) \ (y * (x / y))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5435(a,1),14645(a,1,1,2))]. 14647 (L(x,y \ 1,y) / y) \ (y * (x / y)) = ((y \ 1) * x) \ x. [hyper(38,a,11381,a,b,14646,a),flip(a)]. 14649 (x * (y / x)) / (((x \ 1) * y) \ y) = L(y,x \ 1,x) / x. [hyper(185,a,14647,a)]. 14651 L(x,y \ 1,y) / y = x / R(y,y \ 1,x). [hyper(66,a,7601,a(flip),b,14649,a),flip(a)]. 14652 (x / R(y,y \ 1,x)) * y = L(x,y \ 1,y). [hyper(136,a,14651,a)]. 14653 L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x). [para(14652(a,1),1617(a,1,1))]. 14654 x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x). [hyper(66,a,1245,a(flip),b,14653,a)]. 14655 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (L(x,y \ 1,y) \ y)). [para(14654(a,1),10860(a,1,2,1,1))]. 14656 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ L(x,y \ 1,y)). [hyper(285,a,13468,a(flip),b,14655,a),flip(a)]. 14657 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ x). [hyper(285,a,11835,a(flip),b,14656,a),flip(a)]. 14659 K(x,y / (((z \ 1) * x) \ 1)) = K(x,(z / y) \ x). [hyper(66,a,12730,a(flip),b,14657,a)]. 14660 K(x,y / ((z * x) \ 1)) = K(x,((z \ 1) / y) \ x). [hyper(66,a,7201,a(flip),b,14659,a)]. 14661 R(K(x,((y \ 1) / (z / u)) \ x),z / u,u) = K(x,z / (((y * x) \ 1) * u)). [para(14660(a,1),6101(a,1,1))]. 14662 K(x,y / (((z * x) \ 1) * u)) = K(x,y / ((x \ (z \ 1)) * u)). [hyper(66,a,10861,a(flip),b,14661,a),flip(a)]. 14663 K(x,K(x,x \ y) / ((x \ ((x \ y) \ 1)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,13996,a(flip),b,14662,a),flip(a)]. 14664 K(x,((x \ ((x \ y) \ 1)) * (z \ y)) \ 1) = (1 / y) * (K(x,z) * y). [hyper(66,a,8157,a(flip),b,14663,a)]. 14666 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = (1 / y) * (K(x,z) * y). [hyper(66,a,13260,a(flip),b,14664,a)]. 14667 K(((x \ y) \ 1) * y,z) = (1 / y) * (K(x,z) * y). [hyper(66,a,14641,a(flip),b,14666,a)]. 14668 K(((x \ (y * x)) \ 1) * (y * x),z) = K((((x * y) \ 1) * y) \ 1,z). [hyper(285,a,13858,a(flip),b,14667,a),flip(a)]. 14669 K((((x * y) \ 1) * y) \ 1,z) = K((y \ 1) * (x * y),z). [para(6993(a,1),14668(a,1,1)),flip(a)]. 14670 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * ((y \ x) * y),z). [hyper(66,a,13868,a(flip),b,14669,a)]. 14671 K(((x \ 1) * y) \ 1,T(z,y)) = K(T((y \ 1) * x,y),z). [para(2179(a,1),14670(a,2,1))]. 14672 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * x,T(z,y)). [hyper(285,a,7761,a(flip),b,14671,a),flip(a)]. 14673 K((x \ 1) * y,T(T(z,y),x)) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,10450,a(flip),b,14672,a),flip(a)]. 14674 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(10965,a,14673,a),flip(a)]. 14676 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(66,a,6707,a(flip),b,14674,a),flip(a)]. 14677 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(14674(a,1),6907(a,2,1))]. 14678 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(66,a,6689,a(flip),b,14676,a),flip(a)]. 14679 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(14678(a,1),6971(a,1,1))]. 14680 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(15(a,1),14677(a,2,1,1))]. 14681 (1 / (x \ K(y,z))) \ y = x \ T(y,z). [hyper(39,a,172,a,b,14680,a),flip(a)]. 14682 K(x,y) / (z \ K(x,u)) = T(x,y) / (z \ T(x,u)). [para(14681(a,1),14680(a,1,2)),flip(a)]. 14683 K(x,y) / (y \ K(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [hyper(285,a,14600,a(flip),b,14682,a),flip(a)]. 14684 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6709(a,1),14679(a,1,1))]. 14685 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(180,a,14684,a)]. 14687 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(90(a,1),14685(a,1,1,2))]. 14688 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14687(a,2),7522(a,2,1))]. 14689 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(16(a,1),14688(a,1,2,1,1)),flip(a)]. 14690 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(66,a,14609,a,b,14689,a)]. 14691 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [hyper(124,a,14690,a(flip),b,14607,a(flip)),flip(a)]. 14692 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(17(a,1),14691(a,1,2,2)),flip(a)]. 14693 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(66,a,14596,a,b,14692,a)]. 14694 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(87(a,1),14693(a,1,1)),flip(a)]. 14696 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14694(a,2),7801(a,2,2)),flip(a)]. 14697 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [hyper(66,a,14617,a(flip),b,14683,a)]. 14698 x * a(y,z,K(x \ T(u,x),x)) = x * a(y,z,K(u,x)). [hyper(66,a,14574,a(flip),b,14697,a),flip(a)]. 14699 x * a(y,z,K(x \ u,x)) = x * a(y,z,K(u,x)). [para(4558(a,1),14698(a,1,2,3))]. 14700 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(259,a,14699,a),flip(a)]. 14702 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(14(a,1),14700(a,1,3,1)),flip(a)]. 14703 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6484(a,1),14700(a,1,3))]. 14704 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(13616(a,2),14700(a,1,3))]. 14705 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(14702(a,2),11359(a,1,1))]. 14706 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11360,a,14705,a)]. 14707 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(66,a,14703,a,b,14706,a)]. 14708 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(14570(a,1),14706(a,1,3)),flip(a)]. 14709 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(66,a,14707,a(flip),b,14708,a),flip(a)]. 14710 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(285,a,7801,a(flip),b,14696,a),flip(a)]. 14711 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(30(a,2),14710(a,1,2,1,2,2))]. 14712 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(30(a,2),14711(a,1,2,1,2,2,1))]. 14713 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(66,a,10359,a(flip),b,14712,a)]. 14715 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(90(a,1),14713(a,1,2))]. 14716 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(66,a,11681,a,b,14715,a)]. 14719 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(66,a,11492,a(flip),b,14716,a),flip(a)]. 14721 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14719(a,1),10729(a,1,1))]. 14722 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11830(a,1),14721(a,1,1))]. 14724 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(78(a,1),14722(a,1,1,2))]. 14725 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5514(a,1),14724(a,1,2))]. 14726 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(12134,a,14725,a)]. 14727 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2229(a,1),14726(a,1,2))]. 14728 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(11873(a,1),14727(a,1,2))]. 14729 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(128,a,14728,a)]. 14730 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14729(a,1),14077(a,1,1)),flip(a)]. 14731 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(121,a,14730,a,b,12372,a(flip))]. 14733 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [hyper(124,a,14731,a(flip),b,12777,a)]. 14734 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(285,a,13936,a(flip),b,14733,a),flip(a)]. 14735 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(13945(a,1),14734(a,1,2))]. 14736 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14735(a,1),441(a,1,2,2))]. 14738 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(103(a,1),14736(a,1,2))]. 14739 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12844,a,14738,a),flip(a)]. 14740 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13572,a,14739,a),flip(a)]. 14742 L(a(x,y,x),z,u) = a(x,y,x). [para(17(a,1),14740(a,1,2))]. 14751 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(66,a,14408,a(flip),b,14742,a),flip(a)]. 14752 a(x,L(y,z,u),x) = a(x,y,x). [hyper(66,a,14216,a(flip),b,14742,a)]. 14757 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(124,a,14752,a(flip),b,12777,a),flip(a)]. 14758 R(x,L(y,z,u),x) = R(x,y,x). [hyper(285,a,12778,a(flip),b,14757,a),flip(a)]. 14759 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),12180(a,1,2,1))]. 14761 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14751(a,1),12814(a,1,1)),flip(a)]. 14762 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(285,a,12814,a(flip),b,14761,a),flip(a)]. 14763 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),14759(a,1,2,2,1))]. 14765 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4182(a,2),14763(a,1,2))]. 14767 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4250(a,1),14765(a,1,2,2))]. 14768 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13726(a,1),14767(a,1,2))]. 14769 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(726(a,1),14768(a,1,2)),flip(a)]. 14770 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(66,a,9803,a(flip),b,14769,a)]. 14771 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(122,a,14770,a(flip),b,5130,a(flip))]. 14772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(66,a,11854,a(flip),b,14771,a),flip(a)]. 14773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(285,a,14580,a(flip),b,14772,a),flip(a)]. 14774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(17(a,1),14773(a,1,1))]. 14775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(66,a,10872,a(flip),b,14774,a)]. 14776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(13959(a,1),14775(a,2,3))]. 14777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(285,a,14700,a(flip),b,14776,a),flip(a)]. 14779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(66,a,13780,a(flip),b,14777,a)]. 14780 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(14777(a,1),14709(a,1,3)),flip(a)]. 14781 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(66,a,6675,a(flip),b,14779,a)]. 14782 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(14709(a,1),14780(a,2,3))]. 14783 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10691(a,1),14782(a,1,3))]. 14784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(66,a,14704,a(flip),b,14783,a)]. 14785 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14784(a,1),11127(a,1,2))]. 14786 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11702(a,1),14785(a,1,2)),flip(a)]. 14787 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(285,a,13,a(flip),b,14786,a),flip(a)]. 14789 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14787(a,1),9935(a,1,2,2)),flip(a)]. 14790 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(285,a,9935,a(flip),b,14789,a),flip(a)]. 14791 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(124,a,14790,a(flip),b,5125,a(flip)),flip(a)]. 14794 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(285,a,5130,a,b,14791,a),flip(a)]. 14795 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5075(a,1),14781(a,1,1))]. 14796 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(14(a,1),14795(a,1,2,2))]. 14798 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14762(a,1),14796(a,1,2))]. 14799 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(66,a,5738,a(flip),b,14798,a)]. 14800 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(66,a,9220,a(flip),b,14799,a)]. 14801 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14794(a,1),14800(a,1,2,1))]. 14802 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5476,a,14801,a)]. 14803 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),9941(a,1,2,1,2,2,2))]. 14804 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14803(a,1,2,1,2,2))]. 14805 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14804(a,1,2,1))]. 14806 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10424(a,1),14805(a,1,2,1,2))]. 14807 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7814(a,1),14806(a,1,2,1,2))]. 14809 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10126(a,1),14807(a,1,2,1))]. 14810 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),14809(a,1,2,2,1,2,1,2,2))]. 14811 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14810(a,1,2,2,1,2,1,2))]. 14812 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7860(a,1),14811(a,1,2,2,1,2))]. 14813 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9949(a,1),14812(a,1,2,2,1,2,2))]. 14814 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7789(a,1),14813(a,1,2,2,1,2,2))]. 14816 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(x,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10114(a,1),14814(a,1,2,2,1,2))]. 14817 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14816(a,1,2,2,1,2))]. 14818 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5414(a,2),14817(a,1,2,2,1))]. 14819 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(12518(a,2),14818(a,1,2))]. 14820 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,12519,a(flip),b,14819,a)]. 14821 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14820(a,1,2)),flip(a)]. 14822 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14821,a),flip(a)]. 14823 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1080(a,1),14822(a,1,1)),flip(a)]. 14824 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(66,a,14004,a,b,14823,a)]. 14825 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1080(a,1),14824(a,1,1))]. 14826 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14825(a,1),10667(a,1,2))]. 14827 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13330,a,14826,a),flip(a)]. 14828 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(285,a,7884,a,b,14827,a),flip(a)]. 14830 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(66,a,13486,a(flip),b,14828,a)]. 14831 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(285,a,7881,a,b,14830,a),flip(a)]. 14833 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(66,a,13487,a,b,14831,a)]. 14834 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(66,a,13898,a,b,14833,a)]. 14836 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(285,a,11571,a(flip),b,14834,a),flip(a)]. 14837 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(13318,a,14836,a)]. 14838 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14836(a,1),13318(a,1))]. 14839 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,7878,a,b,14837,a)]. 14840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(66,a,12269,a,b,14839,a)]. 14841 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(13375,a,14840,a)]. 14842 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * R(K(y,z),u,w)) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(27(a,2),11174(a,1,1)),flip(a)]. 14843 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(14440(a,1),14842(a,2,1,2,2))]. 14844 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ v5. [para(11042(a,1),14843(a,2,2))]. 14845 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [hyper(285,a,5119,a,b,14844,a),flip(a)]. 14846 K(K(x,y) * R(K(y,z),u,w),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(10947(a,1),14845(a,1,1,2))]. 14848 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(11042(a,1),14846(a,1,2))]. 14849 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(14460(a,1),14848(a,1,1)),flip(a)]. 14851 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(66,a,12009,a(flip),b,14849,a)]. 14852 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(14851(a,1),12044(a,1,1,1))]. 14853 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(2257(a,1),14852(a,1,1)),flip(a)]. 14854 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(285,a,8817,a(flip),b,14853,a),flip(a)]. 14855 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7860(a,1),14854(a,1,2,1,1))]. 14856 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(10155(a,1),14855(a,1,2,1))]. 14857 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5190(a,2),14856(a,1,2))]. 14858 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(66,a,12254,a,b,14857,a)]. 14859 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7889(a,1),14858(a,1,1))]. 14860 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(66,a,11953,a(flip),b,14859,a)]. 14861 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(66,a,14468,a(flip),b,14860,a),flip(a)]. 14862 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(37,a,5130,a(flip),b,14861,a),flip(a)]. 14863 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(66,a,14851,a,b,14862,a)]. 14864 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(14863(a,1),14485(a,1,2))]. 14865 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(125,a,14864,a),flip(a)]. 14866 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(285,a,14862,a,b,14865,a),flip(a)]. 14867 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7881(a,1),14865(a,1,1))]. 14868 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7881(a,1),14866(a,1,1))]. 14869 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14497(a,2),14866(a,2,1)),flip(a)]. 14870 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(14518(a,1),14867(a,2,2))]. 14871 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(66,a,14868,a,b,14869,a)]. 14872 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(66,a,14871,a(flip),b,14870,a),flip(a)]. 14873 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(66,a,10261,a,b,14872,a)]. 14874 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7884(a,2),14873(a,2,1))]. 14875 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(13364,a,14874,a)]. 14876 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(66,a,10277,a(flip),b,14875,a)]. 14877 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7908(a,1),14876(a,2,1))]. 14879 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10156(a,1),14877(a,2,1))]. 14880 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(13329,a,14879,a)]. 14883 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(66,a,13286,a(flip),b,14880,a)]. 14885 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,14841,a(flip),b,14883,a),flip(a)]. 14886 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(11539(a,1),14885(a,1,1)),flip(a)]. 14887 K(x,K(y * z,a(y,z,u))) = 1. [hyper(285,a,13359,a(flip),b,14886,a),flip(a)]. 14888 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14838,a,14887,a)]. 14891 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14888(a,1),7948(a,1,1)),flip(a)]. 14892 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(285,a,12,a(flip),b,14891,a),flip(a)]. 14893 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14892(a,1),7978(a,1,1)),flip(a)]. 14894 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7726,a,14893,a)]. 14895 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(10978,a,14894,a)]. 14896 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(66,a,13102,a,b,14895,a)]. 14897 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(14518(a,2),14896(a,1,1))]. 14898 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14491,a,b,14897,a)]. 14899 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14515,a(flip),b,14898,a)]. 14901 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14899(a,1),14526(a,1,2))]. 14902 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(66,a,13541,a(flip),b,14901,a)]. 14903 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5476,a,14902,a)]. 14905 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(285,a,14497,a(flip),b,14903,a),flip(a)]. 14908 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(66,a,14802,a(flip),b,14905,a),flip(a)]. 14909 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14908(a,1),14479(a,1,1,2))]. 14911 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(11727,a,14909,a),flip(a)]. 14912 a(K(x,y),z,u) = a(K(u,x),z,y). [hyper(285,a,14908,a,b,14911,a),flip(a)]. 14913 $F # answer("aK1 (4132)"). [resolve(14912,a,69,a)]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 2 at 2016.89 (+ 97.13) seconds: "aK1 (2431)". % Length of proof is 12376. % Level of proof is 672. % Maximum clause weight is 513.000 (73 w/o degradation). % Given clauses 13407 (19.951 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 6 a(K(x,y),z,u) = a(K(y,u),z,x) # label("aK1 (2431)") # label(non_clause) # label(goal). [goal]. 12 1 * x = x. [assumption]. 13 x * 1 = x. [assumption]. 14 x \ (x * y) = y. [assumption]. 15 x * (x \ y) = y. [assumption]. 16 (x * y) / y = x. [assumption]. 17 (x / y) * y = x. [assumption]. 18 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 19 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(18),flip(a)]. 20 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 21 K(x,y) = (y * x) \ (x * y). [copy(20),flip(a)]. 22 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 23 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(22),flip(a)]. 24 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 25 R(x,y,z) = ((x * y) * z) / (y * z). [copy(24),flip(a)]. 26 x \ (y * x) = T(y,x). [assumption]. 27 T(x,y) = y \ (x * y). [copy(26),flip(a)]. 28 T(T(x,y),z) = T(T(x,z),y). [assumption]. 29 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 30 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(29),flip(a)]. 31 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 32 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(31),flip(a)]. 33 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 34 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(33),flip(a)]. 35 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 36 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 37 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 38 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 39 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 40 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 41 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 42 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 43 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 44 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 45 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 46 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 47 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 48 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 49 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 50 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 51 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 52 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 53 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 54 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 55 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 56 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 57 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 58 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 59 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 60 x != y | x * z = y * z # label("Aux 1"). [assumption]. 61 x != y | z * x = z * y # label("Aux 2"). [assumption]. 62 x != y | x / z = y / z # label("Aux 3"). [assumption]. 63 x != y | z / x = z / y # label("Aux 4"). [assumption]. 64 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 65 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 66 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 67 a(K(c2,c4),c3,c1) != a(K(c1,c2),c3,c4) # label("aK1 (2431)") # answer("aK1 (2431)"). [deny(6)]. 78 1 \ x = x. [para(12(a,1),14(a,1,2))]. 79 x \ x = 1. [para(13(a,1),14(a,1,2))]. 80 x \ (x * (y \ (y * z))) = z. [para(14(a,2),14(a,1))]. 81 (x * (x \ 1)) * y = y. [para(15(a,2),12(a,1,1))]. 82 x * (y * (y \ 1)) = x. [para(15(a,2),13(a,1,2))]. 83 x \ (y * (y \ (x * z))) = z. [para(15(a,2),14(a,1,2))]. 84 x * (y * (y \ (x \ z))) = z. [para(15(a,2),15(a,1,2))]. 85 x / x = 1. [para(12(a,1),16(a,1,1))]. 86 x / 1 = x. [para(13(a,1),16(a,1,1))]. 87 x / (y \ x) = y. [para(15(a,1),16(a,1,1))]. 88 ((1 / x) * x) * y = y. [para(17(a,2),12(a,1,1))]. 89 x * ((1 / y) * y) = x. [para(17(a,2),13(a,1,2))]. 90 (x / y) \ x = y. [para(17(a,1),14(a,1,2))]. 91 (x \ (x * (y / z))) * z = y. [para(14(a,2),17(a,1,1))]. 92 ((x * (x \ y)) / z) * z = y. [para(17(a,2),15(a,1))]. 93 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(19(a,2),15(a,1,2))]. 94 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(15(a,1),19(a,2,2,1)),flip(a)]. 95 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(17(a,1),19(a,2,2,1)),flip(a)]. 96 (x * y) * K(y,x) = y * x. [para(21(a,2),15(a,1,2))]. 97 x \ ((y \ x) * y) = K(y \ x,y). [para(15(a,1),21(a,2,1)),flip(a)]. 98 ((x \ y) * x) \ y = K(x,x \ y). [para(15(a,1),21(a,2,2)),flip(a)]. 99 x \ (y * (x / y)) = K(y,x / y). [para(17(a,1),21(a,2,1)),flip(a)]. 100 (x * (y / x)) \ y = K(y / x,x). [para(17(a,1),21(a,2,2)),flip(a)]. 101 x \ (1 * (x * y)) = L(y,x,1). [para(12(a,1),23(a,2,1)),flip(a)]. 102 (x * y) \ (x * y) = L(1,y,x). [para(13(a,1),23(a,2,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(23(a,2),15(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(15(a,1),23(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(15(a,1),23(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(17(a,1),23(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(17(a,1),23(a,2,2,2))]. 108 (x * y) / (x * y) = R(1,x,y). [para(12(a,1),25(a,2,1,1)),flip(a)]. 109 ((x * 1) * y) / y = R(x,1,y). [para(12(a,1),25(a,2,2)),flip(a)]. 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(15(a,1),25(a,2,1,1))]. 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(15(a,1),25(a,2,1))]. 112 R(x,y,z) * (y * z) = (x * y) * z. [para(25(a,2),17(a,1,1))]. 113 R(x / y,y,z) = (x * z) / (y * z). [para(17(a,1),25(a,2,1,1))]. 114 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(17(a,1),25(a,2,2)),flip(a)]. 115 T(x,x) = x. [para(27(a,2),14(a,1))]. 116 x * T(y,x) = y * x. [para(27(a,2),15(a,1,2))]. 117 T(x,x \ y) = (x \ y) \ y. [para(15(a,1),27(a,2,2))]. 118 T(x / y,y) = y \ x. [para(17(a,1),27(a,2,2))]. 119 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(32(a,2),28(a,1,1)),flip(a)]. 120 x != y | 1 * z != y | x = z. [para(12(a,1),37(a,1))]. 121 1 * x != y | z != y | x = z. [para(12(a,1),37(b,1))]. 122 x != y | z * u != y | z \ x = u. [para(15(a,1),37(a,1))]. 123 x != y | z * u != y | x / u = z. [para(17(a,1),38(a,1))]. 124 x != y | z \ u != y | z * x = u. [para(14(a,1),41(a,1))]. 125 1 * x != y | x = y. [para(12(a,1),46(a,2))]. 126 x * y != x | 1 = y. [para(13(a,1),46(a,1)),flip(a)]. 128 x * y != z | x \ z = y. [para(15(a,1),46(a,1)),flip(a)]. 129 x * (x \ (y * z)) != y * u | z = u. [para(15(a,2),46(a,1))]. 130 (x / y) * z != x | y = z. [para(17(a,1),46(a,1)),flip(a)]. 132 x * 1 != y | y = x. [para(13(a,1),47(a,1)),flip(a)]. 133 x * 1 != y | x = y. [para(13(a,1),47(a,2))]. 134 x * (y \ z) != z | x = y. [para(15(a,1),47(a,2))]. 135 x * y != z | z / y = x. [para(17(a,1),47(a,1)),flip(a)]. 136 x / y != z | z * y = x. [para(16(a,1),49(a,1)),flip(a)]. 138 x \ y != z | x * z = y. [para(14(a,1),50(a,1)),flip(a)]. 140 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(23(a,2),51(a,1)),flip(a)]. 142 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(28(a,1),52(a,1))]. 143 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(30(a,2),52(a,1)),flip(a)]. 144 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(32(a,2),52(a,1)),flip(a)]. 146 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(34(a,2),53(a,1))]. 147 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(35(a,1),53(a,1))]. 148 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(32(a,1),54(a,1))]. 149 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(34(a,1),54(a,1)),flip(a)]. 150 ((x / y) * y) * z = x * z. [hyper(60,a,17,a)]. 151 (x * (x \ y)) * z = y * z. [hyper(60,a,15,a)]. 152 x * (y * (y \ z)) = x * z. [hyper(61,a,15,a)]. 153 ((x / y) * y) / z = x / z. [hyper(62,a,17,a)]. 154 (x * (x \ y)) \ z = y \ z. [hyper(64,a,15,a)]. 155 (x * y) / y = (x / z) * z. [hyper(66,a,17,a,b,16,a(flip)),flip(a)]. 156 (x / y) * y = z * (z \ x). [hyper(66,a,17,a,b,15,a(flip))]. 157 (x / y) * y = x * 1. [hyper(66,a,17,a,b,13,a(flip))]. 158 x \ (x * y) = z * (z \ y). [hyper(66,a,15,a,b,14,a(flip)),flip(a)]. 159 x * (x \ y) = y * 1. [hyper(66,a,15,a,b,13,a(flip))]. 160 1 \ (x * 1) = x. [hyper(66,a,78,a,b,13,a)]. 161 (x * (x \ 1)) \ y = y. [para(15(a,2),78(a,1,1))]. 162 ((1 / x) * x) \ y = y. [para(17(a,2),78(a,1,1))]. 163 1 \ x != y | y = x. [para(78(a,1),50(a,1)),flip(a)]. 165 K(x,x) = 1. [hyper(66,a,21,a,b,79,a)]. 166 x / ((1 / y) * y) = x. [para(17(a,2),86(a,1,2))]. 167 x / 1 != y | y = x. [para(86(a,1),49(a,1)),flip(a)]. 168 T(x,R(x,y,z)) = x. [hyper(45,a,32,a,b,115,a(flip))]. 169 T(x,L(x,y,z)) = x. [hyper(44,a,30,a,b,115,a(flip))]. 170 T(x,T(x,y)) = x. [hyper(43,a,28,a,b,115,a(flip))]. 171 T(T(x,y),x) = T(x,y). [para(115(a,1),28(a,1,1)),flip(a)]. 172 x / (y \ x) = z / (y \ z). [hyper(66,a,87,a,b,87,a(flip))]. 173 (x * y) / y = z / (x \ z). [hyper(66,a,87,a,b,16,a(flip)),flip(a)]. 174 x / (y \ x) = z * (z \ y). [hyper(66,a,87,a,b,15,a(flip))]. 175 (x / (y \ x)) * z = y * z. [hyper(60,a,87,a)]. 176 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(39,a,25,a(flip),b,87,a),flip(a)]. 177 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(19(a,2),87(a,1,2))]. 178 (x * (y * z)) / L(z,y,x) = x * y. [para(23(a,2),87(a,1,2))]. 179 (x * y) / T(x,y) = y. [para(27(a,2),87(a,1,2))]. 180 x / y != z | z \ x = y. [para(87(a,1),48(a,1)),flip(a)]. 181 x / (y / ((z \ x) \ y)) = z. [para(87(a,2),87(a,1,2))]. 182 ((x / y) \ x) * z = y * z. [hyper(60,a,90,a)]. 183 x * ((y / (x \ z)) \ y) = z. [hyper(41,a,14,a,b,90,a(flip))]. 184 ((x / (y / z)) \ x) \ y = z. [hyper(39,a,87,a,b,90,a(flip))]. 185 x \ y != z | y / z = x. [para(90(a,1),51(a,1)),flip(a)]. 186 T(x,1) = x. [hyper(66,a,27,a,b,160,a)]. 187 K(x,1) = 1. [hyper(58,a,186,a)]. 188 T(1,x) = 1. [hyper(57,a,186,a)]. 189 T(x,y \ y) = x. [para(79(a,2),186(a,1,2))]. 191 T(x,T(T(x,y),z)) = x. [hyper(43,a,28,a,b,170,a(flip))]. 192 T(x,y \ y) != z | x = z. [para(189(a,1),52(a,2))]. 193 ((1 / x) * x) * y != z | y = z. [para(17(a,2),125(a,1,1))]. 194 K(x,1) * y != z | y = z. [para(187(a,2),125(a,1,1))]. 195 x * (y * (y \ 1)) != z | z = x. [para(15(a,2),132(a,1,2))]. 196 x / (y * (y \ 1)) != z | z = x. [para(15(a,2),167(a,1,2))]. 197 T(x,R(T(x,y),z,u)) = x. [hyper(43,a,28,a,b,168,a(flip))]. 198 T(x,L(L(x,y,z),u,w)) = x. [hyper(44,a,30,a,b,169,a(flip))]. 199 T(T(x,y),L(x,z,u)) = T(x,y). [para(169(a,1),28(a,1,1)),flip(a)]. 200 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(81(a,1),25(a,2,1))]. 202 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(82(a,1),19(a,2,1)),flip(a)]. 203 L(x \ 1,x,y) = (y * x) \ y. [para(82(a,1),23(a,2,2))]. 204 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(88(a,1),19(a,2,2)),flip(a)]. 205 R(1 / x,x,y) = y / (x * y). [para(88(a,1),25(a,2,1))]. 206 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(89(a,1),19(a,2,1)),flip(a)]. 207 (x \ y) * T(x,x \ y) = y. [hyper(66,a,116,a,b,15,a)]. 208 T((x * y) / x,x) = y. [hyper(37,a,17,a(flip),b,116,a),flip(a)]. 209 (x * T(y,x)) / x = y. [hyper(38,a,17,a,b,116,a(flip))]. 210 x \ (y * T(x,y)) = y. [hyper(37,a,15,a,b,116,a(flip))]. 211 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(116(a,1),19(a,2,1,2)),flip(a)]. 212 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(116(a,1),19(a,2,2,1)),flip(a)]. 213 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(116(a,1),19(a,2,2)),flip(a)]. 214 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(116(a,1),21(a,2,1)),flip(a)]. 215 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(116(a,1),23(a,2,1)),flip(a)]. 216 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(116(a,1),23(a,2,2,2)),flip(a)]. 217 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(116(a,1),25(a,2,1,1)),flip(a)]. 218 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(116(a,1),25(a,2,1)),flip(a)]. 219 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(116(a,1),25(a,2,2)),flip(a)]. 220 T(x,y) \ (x * y) = T(y,T(x,y)). [para(116(a,1),27(a,2,2)),flip(a)]. 221 x * T(T(y,x),z) = T(y,z) * x. [para(28(a,1),116(a,1,2))]. 222 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(30(a,2),116(a,1,2))]. 223 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(32(a,2),116(a,1,2))]. 224 x * y != z | y * u != z | T(x,y) = u. [para(116(a,1),37(a,1))]. 225 x * y != z * x | T(z,x) = y. [para(116(a,1),46(a,1)),flip(a)]. 226 x * T(y,x) != y * z | z = x. [para(116(a,2),46(a,2)),flip(a)]. 227 x * T(y,x) != z * x | y = z. [para(116(a,2),47(a,1))]. 228 x * T(y,x) != z * x | z = y. [para(116(a,2),47(a,2)),flip(a)]. 229 T(x,y) * x = x * T(x,y). [para(170(a,1),116(a,1,2))]. 230 T(x / (x / y),x / y) = y. [hyper(66,a,118,a,b,90,a)]. 231 T(T(x / y,z),y) = T(y \ x,z). [para(118(a,1),28(a,1,1)),flip(a)]. 232 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(118(a,1),30(a,1,1)),flip(a)]. 233 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(118(a,1),32(a,1,1)),flip(a)]. 235 x * 1 != y * z | x / z = y. [para(157(a,1),47(a,1))]. 236 (x / y) * y != z | z = x. [para(157(a,2),132(a,1))]. 237 (x / y) * y != z | x = z. [para(157(a,2),133(a,1))]. 238 x \ (y * (y \ x)) = 1. [hyper(37,a,15,a,b,159,a(flip))]. 239 x * 1 != y * z | y \ x = z. [para(159(a,1),46(a,1))]. 240 x * (x \ y) != z | z = y. [para(159(a,2),132(a,1))]. 241 x * (x \ y) != z | y = z. [para(159(a,2),133(a,1))]. 242 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(66,a,23,a,b,161,a),flip(a)]. 243 K(x \ 1,x) = (x \ 1) * x. [hyper(66,a,21,a,b,161,a)]. 244 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(66,a,23,a,b,162,a),flip(a)]. 245 K(x,1 / x) = x * (1 / x). [hyper(66,a,21,a,b,162,a)]. 246 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(66,a,19,a,b,162,a),flip(a)]. 247 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(66,a,25,a,b,166,a),flip(a)]. 248 K(T(x,y),x) = 1. [hyper(58,a,171,a)]. 249 x / T(y,y \ x) = y \ x. [para(15(a,1),179(a,1,1))]. 250 (x * y) / z != y | T(x,y) = z. [para(179(a,1),48(a,1)),flip(a)]. 251 (x * y) / T(y,T(x,y)) = T(x,y). [para(116(a,1),179(a,1,1))]. 252 (x * T(T(y,x),z)) / x = T(y,z). [hyper(43,a,28,a,b,208,a),flip(a)]. 253 T(T((x * y) / x,z),x) = T(y,z). [para(208(a,1),28(a,1,1)),flip(a)]. 254 T(x,y) != z | (y * z) / y = x. [para(208(a,1),52(a,1)),flip(a)]. 255 T((x * y) / x,y) = (x * y) / x. [para(208(a,1),170(a,1,2))]. 256 K(x,(y * x) / y) = 1. [para(208(a,1),248(a,1,1))]. 257 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(30(a,2),210(a,1,2,2))]. 258 T(x,(y * x) / y) = x. [hyper(59,a,256,a)]. 259 x * y != x * z | z = y. [para(16(a,1),130(a,1,1))]. 260 x * L(y,z,u) != u * (z * y) | u * z = x. [para(23(a,2),134(a,1,2)),flip(b)]. 262 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(25(a,2),236(a,1,1)),flip(b)]. 263 x * T(y,x) != z | y * x = z. [para(179(a,1),236(a,1,1)),flip(b)]. 264 x * y != z | y * T(x,y) = z. [para(209(a,1),236(a,1,1)),flip(b)]. 265 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(23(a,2),240(a,1,2)),flip(b)]. 267 x \ ((x * y) * L(z,y,x)) = y * z. [para(23(a,2),83(a,1,2,2))]. 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(84(a,1),23(a,2,2))]. 269 ((x * (x \ y)) / z) \ y = z. [hyper(128,a,92,a)]. 271 x * K(y \ x,y) = (y \ x) * y. [para(15(a,1),96(a,1,1))]. 272 x * K(y,x / y) = y * (x / y). [para(17(a,1),96(a,1,1))]. 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(96(a,1),23(a,2,2,2)),flip(a)]. 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(96(a,1),25(a,2,1)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(96(a,1),46(a,1)),flip(a)]. 278 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(65,a,117,a)]. 279 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(63,a,117,a)]. 280 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(61,a,117,a)]. 281 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(60,a,117,a)]. 282 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(117(a,1),28(a,1,1)),flip(a)]. 284 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(117(a,2),117(a,1,2))]. 285 x != y | z != y | x = z. [para(12(a,1),120(b,1))]. 286 ((x / y) * y) * (x \ z) = z. [hyper(285,a,15,a(flip),b,150,a),flip(a)]. 287 x * y != z * y | (z / u) * u = x. [para(150(a,1),47(a,2)),flip(b)]. 288 (x / (y * (y \ z))) * z = x. [hyper(237,a,152,a),flip(a)]. 289 (((x / y) * y) / z) \ x = z. [hyper(39,a,87,a(flip),b,153,a),flip(a)]. 291 x / y != (z / u) * u | z * y = x. [para(155(a,1),49(a,1)),flip(a)]. 293 ((x / y) * y) * z != u | x * z = u. [para(155(a,1),236(a,1,1)),flip(b)]. 294 (x * y) / y != z | z = x. [para(155(a,2),236(a,1))]. 295 (x * y) / y != z | x = z. [para(155(a,2),237(a,1))]. 296 x / x != y | 1 = y. [para(12(a,1),294(a,1,1)),flip(b)]. 297 x / (y \ x) != z | z = y. [para(15(a,1),294(a,1,1))]. 298 (x * T(y,x)) / x != z | z = y. [para(116(a,2),294(a,1,1))]. 299 (x / y) * y != z * u | z \ x = u. [para(156(a,2),46(a,1))]. 300 x * (x \ y) != z * u | y / u = z. [para(156(a,1),47(a,1))]. 302 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),50(a,1)),flip(a)]. 303 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),240(a,1,2)),flip(b)]. 304 x \ (x * y) != z | z = y. [para(158(a,2),240(a,1))]. 305 x \ (x * y) != z | y = z. [para(158(a,2),241(a,1))]. 306 x \ x != y | 1 = y. [para(13(a,1),304(a,1,2)),flip(b)]. 307 (x / y) \ x != z | z = y. [para(17(a,1),304(a,1,2))]. 308 x \ (y * x) != z | T(y,x) = z. [para(116(a,1),304(a,1,2)),flip(b)]. 310 (x * y) \ (y * x) != z | K(y,x) = z. [para(96(a,1),304(a,1,2)),flip(b)]. 311 (x / y) \ x != z | y = z. [para(17(a,1),305(a,1,2))]. 312 x \ ((y / (x \ y)) * z) = z. [hyper(39,a,16,a,b,172,a),flip(a)]. 315 (x / (y \ x)) * z != u | y * z = u. [para(173(a,1),236(a,1,1)),flip(b)]. 316 (x * (x \ y)) \ z != u | y \ z = u. [para(174(a,1),307(a,1,1)),flip(b)]. 317 ((x / y) \ x) * (y \ z) = z. [hyper(285,a,15,a(flip),b,182,a),flip(a)]. 318 ((x / y) \ x) * z != u | y \ u = z. [para(182(a,2),128(a,1))]. 319 (x / y) * ((z / y) \ z) = x. [para(90(a,1),183(a,1,2,1,2))]. 320 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(207(a,1),23(a,2,2,2))]. 322 (x \ y) * z != y | T(x,x \ y) = z. [para(207(a,1),46(a,1)),flip(a)]. 324 T(x / (x / y),(z / (x / y)) \ z) = y. [para(90(a,2),230(a,1,2))]. 325 x * T(x \ 1,x) = K(x \ 1,x). [hyper(285,a,116,a,b,243,a)]. 326 (x \ 1) \ K(x \ 1,x) = x. [hyper(128,a,243,a(flip))]. 327 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(243(a,2),19(a,2,1,2)),flip(a)]. 328 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(243(a,2),25(a,2,1,1)),flip(a)]. 329 x \ K(x \ 1,x) = T(x \ 1,x). [para(243(a,2),27(a,2,2)),flip(a)]. 331 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(245(a,2),23(a,2,1)),flip(a)]. 332 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(32(a,2),249(a,1,2))]. 334 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(286(a,1),25(a,2,1))]. 335 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(25(a,2),288(a,1,1))]. 336 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(249(a,1),317(a,1,1,1))]. 337 x * ((y / z) \ y) != u | u / z = x. [para(319(a,1),47(a,1)),flip(a)]. 338 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(249(a,1),319(a,1,2,1))]. 339 (x \ 1) * x != y | K(x \ 1,x) = y. [para(326(a,1),240(a,1,2)),flip(b)]. 340 x \ (x * y) = L(y,x,1). [para(12(a,1),101(a,1,2))]. 341 L(x,y,1) = x. [hyper(305,a,340,a),flip(a)]. 342 L(x,y,1) = z \ (z * x). [hyper(285,a,14,a,b,341,a),flip(a)]. 344 L(x,y,1) != z \ (z * u) | u = x. [para(342(a,1),53(a,1)),flip(a)]. 345 L(1,x,y) = 1. [hyper(306,a,102,a),flip(a)]. 348 R(1,x,y) = 1. [hyper(296,a,108,a),flip(a)]. 351 (x * y) / y = R(x,1,y). [para(13(a,1),109(a,1,1,1))]. 352 R(x,1,y) = x. [hyper(295,a,351,a),flip(a)]. 355 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(196,a,25,a(flip)),flip(a)]. 356 L(x \ 1,x,1 / x) = 1 / x. [hyper(285,a,162,a(flip),b,203,a),flip(a)]. 357 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(285,a,154,a(flip),b,203,a),flip(a)]. 358 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(64,a,203,a)]. 359 x / L(y \ 1,y,x) = x * y. [hyper(185,a,203,a(flip))]. 360 (x * y) * L(y \ 1,y,x) = x. [hyper(138,a,203,a(flip))]. 361 L(x \ 1,x,y / x) = y \ (y / x). [para(17(a,1),203(a,2,1))]. 362 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(203(a,1),30(a,2,1)),flip(a)]. 363 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(203(a,1),34(a,1,1))]. 364 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(203(a,1),35(a,1,1)),flip(a)]. 365 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(60,a,205,a)]. 366 R(1 / x,x,x \ 1) = x \ 1. [hyper(196,a,205,a(flip))]. 367 R(1 / x,x,y) \ y = x * y. [hyper(180,a,205,a(flip))]. 368 R(1 / x,x,x \ y) = (x \ y) / y. [para(15(a,1),205(a,2,2))]. 369 R(1 / (x / y),x / y,y) = y / x. [para(17(a,1),205(a,2,2))]. 370 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(205(a,1),32(a,2,1)),flip(a)]. 371 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(205(a,1),36(a,1,1)),flip(a)]. 375 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(14(a,2),225(a,2)),flip(a)]. 376 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(28(a,1),227(a,1,2))]. 379 (x / y) * y != z * u | x / u = z. [para(157(a,2),235(a,1))]. 380 x * (y * (y \ 1)) != z * u | z \ x = u. [para(15(a,2),239(a,1,2))]. 381 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),239(a,1))]. 382 (x * y) / z != K(x,y) | T(y * x,K(x,y)) = z. [para(96(a,1),250(a,1,1))]. 383 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(28(a,1),263(a,1,2))]. 384 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(30(a,2),263(a,1,2))]. 385 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(32(a,2),263(a,1,2))]. 386 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(116(a,1),308(a,1,2))]. 388 x / y != x * z | L(z \ 1,z,x) = y. [para(359(a,1),48(a,1)),flip(a)]. 389 x / L(y,1 / y,x) = x * (1 / y). [para(90(a,1),359(a,1,2,1))]. 390 (x * y) * z != x | L(y \ 1,y,x) = z. [para(359(a,1),130(a,1,1))]. 391 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(359(a,1),307(a,1,1)),flip(b)]. 392 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),317(a,1,1,1))]. 393 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(360(a,1),23(a,2,2,2))]. 394 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(87(a,1),367(a,1,1,1))]. 395 x / (y * x) != z | R(1 / y,y,x) = z. [para(367(a,1),297(a,1,2)),flip(b)]. 396 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(14(a,1),97(a,2,1)),flip(a)]. 397 K(x \ 1,x) != y | (x \ 1) * x = y. [para(97(a,1),163(a,1)),flip(b)]. 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(116(a,2),97(a,1,2))]. 399 x * K(y \ x,y) != z | (y \ x) * y = z. [para(97(a,1),240(a,1,2)),flip(b)]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(243(a,2),98(a,1,1))]. 402 K(x,1 / x) != y | x * (1 / x) = y. [para(99(a,1),163(a,1)),flip(b)]. 403 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(122,a,23,a,b,162,a(flip))]. 404 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(122,a,23,a,b,161,a(flip))]. 406 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(123,a,203,a,b,12,a)]. 407 R(x,1 / y,y) / y = x * (1 / y). [hyper(123,a,25,a,b,166,a(flip))]. 408 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(123,a,203,a(flip),b,12,a)]. 409 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(124,a,117,a,b,90,a)]. 410 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(124,a,35,a,b,23,a(flip))]. 411 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(124,a,34,a,b,23,a(flip))]. 412 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(124,a,23,a,b,154,a(flip))]. 413 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(124,a,30,a(flip),b,23,a(flip))]. 414 x * T(x \ (y * x),z) = T(y,z) * x. [para(27(a,1),221(a,1,2,1))]. 415 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(28(a,1),221(a,1,2,1))]. 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(170(a,1),221(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(118(a,1),221(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(208(a,1),221(a,1,2,1)),flip(a)]. 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(117(a,1),221(a,1,2,1))]. 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(254,a,231,a)]. 421 T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). [para(231(a,1),28(a,1,1)),flip(a)]. 423 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(231(a,1),263(a,1,2))]. 424 T(T(x / y,z),u) * y = y * T(T(y \ x,z),u). [para(231(a,1),221(a,1,2,1)),flip(a)]. 425 (x * T(y,z)) / x = T((x * y) / x,z). [para(208(a,1),252(a,1,1,2,1))]. 426 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(253(a,1),52(a,2)),flip(b)]. 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(253(a,1),227(a,1,2))]. 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(253(a,1),298(a,1,1,2)),flip(b)]. 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),23(a,2,2,2)),flip(a)]. 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),304(a,1,2)),flip(b)]. 433 x * K(y,x / y) != y * z | x / y = z. [para(272(a,2),46(a,1))]. 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),304(a,1,2)),flip(b)]. 436 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(185,a,401,a)]. 437 (x * y) / L(z \ y,z,x) = x * z. [hyper(123,a,152,a(flip),b,103,a)]. 438 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(123,a,17,a(flip),b,103,a)]. 439 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(66,a,150,a(flip),b,103,a)]. 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),23(a,2,1)),flip(a)]. 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),23(a,2,2,2)),flip(a)]. 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(103(a,1),25(a,2,1,1)),flip(a)]. 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(103(a,1),25(a,2,1)),flip(a)]. 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),46(a,1)),flip(a)]. 446 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(116(a,1),103(a,1,1))]. 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),304(a,1,2)),flip(b)]. 448 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(243(a,2),103(a,1,1))]. 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),193(a,1))]. 450 L(x \ T(y * x,y),x,y) = y. [hyper(285,a,210,a(flip),b,105,a),flip(a)]. 451 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(285,a,162,a(flip),b,105,a),flip(a)]. 452 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(285,a,161,a(flip),b,105,a),flip(a)]. 453 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(285,a,154,a(flip),b,105,a),flip(a)]. 454 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(17(a,1),105(a,2,1))]. 455 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(17(a,1),105(a,2,2))]. 456 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(19(a,2),105(a,1,1)),flip(a)]. 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(116(a,1),105(a,2,1))]. 458 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(116(a,1),105(a,2,2))]. 459 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 460 (R(x,y,z) * (y * z)) / z = x * y. [hyper(123,a,112,a,b,xx)]. 461 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(122,a,286,a(flip),b,112,a)]. 462 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(122,a,151,a(flip),b,112,a)]. 463 R(x / y,y,z) \ (x * z) = y * z. [hyper(122,a,150,a(flip),b,112,a)]. 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,82,a(flip),b,112,a(flip))]. 465 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(122,a,82,a(flip),b,112,a(flip))]. 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(122,a,112,a(flip),b,103,a)]. 467 R(x,y / z,z) * y = (x * (y / z)) * z. [para(17(a,1),112(a,1,2))]. 468 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(112(a,1),19(a,2,1)),flip(a)]. 469 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(112(a,1),25(a,2,1,1)),flip(a)]. 470 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(112(a,1),25(a,2,2)),flip(a)]. 471 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(32(a,1),112(a,1,1))]. 472 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(34(a,1),112(a,1,1))]. 473 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(36(a,1),112(a,1,1))]. 474 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(112(a,2),46(a,2)),flip(a)]. 475 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(112(a,1),47(a,1))]. 476 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(116(a,1),112(a,1,2))]. 477 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(112(a,1),96(a,1,1))]. 478 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(96(a,1),112(a,1,2))]. 479 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(112(a,1),294(a,1,1)),flip(b)]. 480 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(112(a,2),294(a,1,1)),flip(b)]. 481 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(243(a,2),112(a,1,2))]. 482 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(112(a,1),195(a,1)),flip(b)]. 484 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(112(a,1),103(a,1,1))]. 485 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(112(a,1),112(a,1,2))]. 486 R(x / (1 / y),1 / y,y) = x * y. [hyper(285,a,166,a(flip),b,113,a),flip(a)]. 487 R((x / y) / z,z,y) = x / (z * y). [hyper(285,a,153,a(flip),b,113,a),flip(a)]. 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(196,a,113,a(flip))]. 489 R(x / (y / z),y / z,z) = (x * z) / y. [para(17(a,1),113(a,2,2))]. 490 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(113(a,1),32(a,2,1)),flip(a)]. 491 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(229(a,1),113(a,2,2))]. 492 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(113(a,2),196(a,1)),flip(b)]. 493 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(112(a,1),113(a,2,1))]. 494 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(112(a,1),113(a,2,2))]. 495 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(113(a,2),113(a,1,1))]. 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(96(a,1),176(a,1,2,1))]. 498 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),176(a,1,2,1))]. 499 (x * y) / L(z,y / z,x) = x * (y / z). [para(17(a,1),178(a,1,1,2))]. 501 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(116(a,1),178(a,1,1,2))]. 502 R(x,x \ 1,(x \ 1) \ y) = ((x \ 1) \ y) / y. [para(15(a,1),200(a,2,2))]. 503 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(122,a,35,a,b,242,a)]. 504 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(122,a,30,a(flip),b,242,a)]. 505 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(242(a,1),46(a,1))]. 506 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(122,a,35,a,b,244,a)]. 507 L(x,y / x,1 / (y / x)) = (1 / (y / x)) * y. [para(17(a,1),244(a,1,2)),flip(a)]. 508 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(123,a,34,a(flip),b,247,a)]. 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),30(a,2,1))]. 513 (x * (x \ y)) * z != u | y * z = u. [para(87(a,1),293(a,1,1,1))]. 515 1 * x != y * z | y \ x = z. [para(85(a,1),299(a,1,1))]. 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(179(a,1),299(a,1,1))]. 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(155(a,1),299(a,1,1))]. 519 (x * (x \ 1)) * y != z * u | z \ y = u. [para(15(a,2),515(a,1,1))]. 525 ((1 / x) * x) * y != z * u | y / u = z. [para(162(a,1),300(a,1,2))]. 526 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(158(a,1),300(a,1,2))]. 533 x \ y != z * T(u,z) | x * (u * z) = y. [para(27(a,2),302(a,2,2))]. 534 x \ y != (z / u) * u | x * z = y. [para(90(a,1),302(a,2,2))]. 535 x \ (x * y) != z \ u | z * y = u. [para(158(a,2),302(a,2)),flip(a)]. 539 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(242(a,1),303(a,1))]. 542 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(123,a,34,a(flip),b,355,a)]. 543 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(122,a,355,a(flip),b,116,a)]. 544 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(117(a,2),355(a,1,2))]. 545 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(112(a,1),355(a,1,1)),flip(a)]. 546 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(357(a,1),169(a,1,2))]. 547 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(361(a,1),30(a,2,1)),flip(a)]. 548 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(368(a,1),32(a,2,1)),flip(a)]. 549 (((x / y) / z) * z) * y != u * w | x / w = u. [para(17(a,2),379(a,1,1))]. 550 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(155(a,1),379(a,1,1))]. 551 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(15(a,2),381(a,1,2))]. 552 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),381(a,1,2))]. 554 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(389(a,1),48(a,1)),flip(a)]. 555 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(394(a,1),51(a,1)),flip(a)]. 556 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(404(a,1),240(a,1,2)),flip(b)]. 560 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(407(a,1),236(a,1,1)),flip(b)]. 561 x / L(y \ z,y,x / z) = (x / z) * y. [hyper(66,a,153,a(flip),b,437,a)]. 563 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(437(a,1),307(a,1,1)),flip(b)]. 564 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(451(a,1),30(a,2,1))]. 565 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(451(a,1),34(a,1,1)),flip(a)]. 566 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(452(a,1),30(a,2,1))]. 567 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(452(a,1),169(a,1,2))]. 570 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(116(a,1),463(a,1,2))]. 571 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(205(a,2),463(a,1,1,1))]. 572 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(486(a,1),32(a,2,1))]. 573 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),32(a,2,1))]. 574 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(488(a,1),34(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),36(a,1,1)),flip(a)]. 576 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),168(a,1,2))]. 577 T(x * (y \ 1),x / y) = x * (y \ 1). [hyper(57,a,576,a)]. 578 x \ y != (z / (u \ z)) * w | x * (u * w) = y. [para(173(a,1),534(a,2,1))]. 582 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(66,a,103,a(flip),b,222,a)]. 583 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(122,a,222,a(flip),b,103,a(flip))]. 584 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(222(a,1),19(a,2,1,2)),flip(a)]. 585 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(27(a,1),222(a,1,2,1))]. 586 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(32(a,2),222(a,1,2,1))]. 587 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(118(a,1),222(a,1,2,1)),flip(a)]. 588 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(208(a,1),222(a,1,2,1)),flip(a)]. 589 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(122,a,112,a(flip),b,223,a)]. 591 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(28(a,1),223(a,1,2,1))]. 592 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(223(a,1),46(a,1))]. 593 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(118(a,1),223(a,1,2,1)),flip(a)]. 594 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(208(a,1),223(a,1,2,1)),flip(a)]. 595 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(117(a,1),223(a,1,2,1))]. 596 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(230(a,1),223(a,1,2,1)),flip(a)]. 597 T(x / y,(z / y) \ z) = y \ x. [hyper(224,a,319,a,b,317,a)]. 598 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(224,a,103,a(flip),b,150,a(flip))]. 599 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(254,a,232,a)]. 600 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(254,a,233,a)]. 601 T(x / (y * x),y) = R(y \ 1,y,x). [para(205(a,1),233(a,1,1))]. 602 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(366(a,1),233(a,1,1)),flip(a)]. 603 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(113(a,1),233(a,1,1))]. 604 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(369(a,1),233(a,1,1)),flip(a)]. 605 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(487(a,1),233(a,1,1)),flip(a)]. 606 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),233(a,1,1)),flip(a)]. 607 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(124,a,601,a(flip),b,27,a(flip)),flip(a)]. 608 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(601(a,1),263(a,1,2))]. 609 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(278(a,1),50(a,1))]. 610 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(278(a,2),249(a,1,2,2))]. 611 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(295,a,279,a),flip(a)]. 612 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(279(a,1),136(a,1))]. 614 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(263,a,281,a),flip(a)]. 615 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(224,a,281,a,b,116,a)]. 616 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(122,a,281,a,b,xx)]. 617 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(281(a,2),21(a,2,1)),flip(a)]. 618 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(281(a,2),310(a,1,1))]. 619 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(282(a,1),263(a,1,2))]. 620 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(282(a,1),221(a,1,2,1))]. 621 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(17(a,1),391(a,1,1))]. 622 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(116(a,1),395(a,1,2))]. 623 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(245(a,2),395(a,1,2))]. 624 K(x \ (x * y),x) = K(y,x). [hyper(285,a,97,a(flip),b,396,a)]. 625 K(x \ (x * y),z) = K(y,z). [para(80(a,1),624(a,1,1)),flip(a)]. 626 K((x / y) \ x,z) = K(y,z). [para(17(a,1),625(a,1,1,2))]. 627 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(409(a,1),294(a,1,1)),flip(b)]. 628 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(66,a,281,a(flip),b,418,a)]. 629 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),236(a,1,1)),flip(b)]. 630 T(x / y,y) != z | y \ x = z. [para(420(a,1),298(a,1)),flip(b)]. 632 T(x,x \ y) != z | (x \ y) \ y = z. [para(87(a,1),630(a,1,1))]. 633 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(179(a,1),630(a,1,1))]. 634 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(249(a,1),630(a,1,1))]. 635 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(117(a,2),632(a,1,2))]. 636 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(98(a,1),632(a,1,2))]. 637 T((x * y) / x,L(y,z,u)) = (x * y) / x. [para(169(a,1),425(a,1,1,2)),flip(a)]. 638 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(118(a,1),425(a,1,1,2)),flip(a)]. 639 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(425(a,1),236(a,1,1)),flip(b)]. 640 T(x * y,(x \ 1) \ y) = x * y. [hyper(57,a,567,a)]. 641 T(x * ((y \ x) \ 1),y) = x * ((y \ x) \ 1). [para(87(a,1),577(a,1,2))]. 642 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(616(a,1),240(a,1,2)),flip(b)]. 644 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(15(a,1),93(a,1,1,2))]. 645 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(17(a,1),93(a,1,1,2))]. 646 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(116(a,1),93(a,1,1,2))]. 647 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(93(a,1),304(a,1,2)),flip(b)]. 648 (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. [para(93(a,1),535(a,1,2))]. 649 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(124,a,35,a,b,104,a)]. 650 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(116(a,1),104(a,1,2,2)),flip(a)]. 651 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(124,a,35,a,b,106,a)]. 652 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),163(a,1)),flip(b)]. 653 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(106(a,1),240(a,1,2)),flip(b)]. 654 L(x,y / x,z / y) = ((z / y) * (y / x)) \ z. [para(17(a,1),107(a,2,2))]. 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),269(a,1,1))]. 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(110(a,2),289(a,1,1))]. 657 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(355(a,1),202(a,1,2))]. 658 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(138,a,657,a)]. 659 x \ y != z * a(z,u,u \ 1) | x * R(z,u,u \ 1) = y. [para(657(a,1),302(a,2,2))]. 661 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(247(a,1),206(a,1,2))]. 662 L(T(x,y),y,x) = T(x,x * y). [hyper(308,a,216,a),flip(a)]. 663 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(112(a,1),216(a,1,2))]. 664 T(L(x,y,x),y) = T(x,x * y). [hyper(66,a,30,a(flip),b,662,a)]. 665 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(662(a,1),30(a,2,1))]. 666 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(662(a,1),34(a,1,1)),flip(a)]. 667 x * T(y,y * x) = L(y,x,y) * x. [para(662(a,1),222(a,1,2))]. 668 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(662(a,2),223(a,1,2,1))]. 669 (x * T(y,y * x)) / x = L(y,x,y). [hyper(254,a,664,a)]. 670 T((x * y) / x,y * x) = L(y,x,y). [hyper(43,a,253,a,b,664,a)]. 671 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(664(a,1),222(a,1,2,1))]. 672 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(15(a,1),667(a,1,2,2)),flip(a)]. 674 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(116(a,1),667(a,1,2,2)),flip(a)]. 676 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(15(a,1),670(a,1,2))]. 677 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(670(a,1),28(a,1,1)),flip(a)]. 678 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(274(a,1),417(a,1,1,1)),flip(a)]. 679 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(66,a,223,a,b,335,a)]. 680 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(122,a,335,a(flip),b,223,a)]. 681 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(14(a,1),335(a,1,1,3))]. 682 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(34(a,1),335(a,1,1))]. 683 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(285,a,27,a,b,358,a),flip(a)]. 684 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(124,a,362,a,b,23,a(flip))]. 685 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(241,a,365,a),flip(a)]. 686 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(630,a,370,a),flip(a)]. 687 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(117(a,1),376(a,1,2))]. 688 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(27(a,1),383(a,1,2,1))]. 689 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(392(a,1),304(a,1,2)),flip(b)]. 690 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(412(a,1),46(a,1))]. 691 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(412(a,1),304(a,1,2)),flip(b)]. 692 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(116(a,2),431(a,1,2))]. 693 L(x \ y,x,y / x) = T(y / x,y). [hyper(224,a,152,a(flip),b,439,a),flip(a)]. 695 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(453(a,1),30(a,2,1))]. 696 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(453(a,1),34(a,1,1)),flip(a)]. 697 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(455(a,1),30(a,2,1)),flip(a)]. 698 K(x,y) = L(x \ T(x,y),x,y). [hyper(285,a,21,a,b,458,a)]. 699 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(458(a,1),30(a,2,1))]. 700 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(462(a,1),297(a,1,2)),flip(b)]. 701 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(467(a,1),47(a,1))]. 702 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(489(a,1),32(a,2,1))]. 703 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(489(a,1),36(a,1,1)),flip(a)]. 704 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(205(a,2),489(a,1,1,2))]. 705 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(205(a,2),489(a,1,2))]. 706 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(489(a,1),233(a,1,1)),flip(a)]. 707 x / L(y,z / y,x / z) = (x / z) * (z / y). [hyper(66,a,153,a(flip),b,499,a)]. 708 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(499(a,1),118(a,1,1))]. 709 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(501(a,1),307(a,1,1)),flip(b)]. 713 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(14(a,1),603(a,2,1)),flip(a)]. 714 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(15(a,1),603(a,1,1,2))]. 715 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(603(a,1),231(a,1,1))]. 716 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(605(a,1),335(a,1,1)),flip(a)]. 717 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(66,a,355,a,b,606,a)]. 718 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(14(a,1),606(a,1,1)),flip(a)]. 719 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(17(a,1),607(a,1,1,2)),flip(a)]. 721 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(607(a,1),310(a,1,1))]. 722 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(124,a,665,a(flip),b,23,a(flip))]. 723 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(15(a,1),685(a,1,1,2))]. 724 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [hyper(124,a,713,a,b,27,a(flip)),flip(a)]. 725 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(166(a,1),713(a,2,1)),flip(a)]. 726 T(R(x,y,x),y * x) = T(x,y). [para(713(a,2),253(a,1,1))]. 727 R(T(x,y * x),y,x) = T(x,y). [hyper(66,a,32,a,b,726,a)]. 728 T(x,y * z) != T(z,y) | R(z,y,z) = x. [para(726(a,1),52(a,1)),flip(a)]. 729 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(726(a,1),223(a,1,2,1)),flip(a)]. 730 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(43,a,713,a(flip),b,727,a(flip))]. 731 R(T(x,y),y / x,x) = T(x,y / x). [para(17(a,1),727(a,1,1,2))]. 733 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(727(a,1),112(a,1,1)),flip(a)]. 734 R(x,1 / x,x) = T(x,1 / x). [para(186(a,1),731(a,1,1))]. 735 T(x,1 / x) / x = x * (1 / x). [hyper(123,a,734,a(flip),b,247,a)]. 736 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(734(a,1),36(a,1,1)),flip(a)]. 737 T(x,1 / x) / x = K(x,1 / x). [hyper(285,a,245,a,b,735,a),flip(a)]. 738 T(x * T(y,x * y),y) = x * y. [hyper(250,a,730,a)]. 739 (x * T(y,x * y)) * y = y * (x * y). [hyper(136,a,730,a),flip(a)]. 740 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(285,a,17,a(flip),b,738,a),flip(a)]. 741 (x * (y * x)) / x = y * T(x,y * x). [hyper(254,a,738,a)]. 743 T((x / y) * T(y,x),y) = x. [para(17(a,1),740(a,1,1,2,2))]. 744 (x / y) * T(y,x) = (y * x) / y. [hyper(254,a,743,a),flip(a)]. 745 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(315,a,744,a),flip(a)]. 746 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(224,a,744,a,b,15,a),flip(a)]. 747 ((x * y) / x) / T(x,y) = y / x. [hyper(135,a,744,a)]. 748 T(x,y) = (y / x) \ ((x * y) / x). [hyper(128,a,744,a),flip(a)]. 750 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),744(a,1,1)),flip(a)]. 751 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(389(a,1),744(a,1,1)),flip(a)]. 752 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(285,a,16,a(flip),b,747,a),flip(a)]. 753 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(39,a,173,a(flip),b,747,a)]. 754 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(752(a,1),299(a,1,1))]. 755 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(752(a,1),379(a,1,1))]. 756 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(254,a,718,a)]. 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(285,a,32,a,b,119,a)]. 760 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(36(a,1),262(a,1,1))]. 761 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(116(a,1),262(a,1,2))]. 762 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(30(a,1),265(a,1,2))]. 763 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(34(a,2),265(a,1,2))]. 764 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(243(a,2),265(a,1,1))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(96(a,1),445(a,1,1)),flip(a)]. 767 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(116(a,1),447(a,1,1))]. 768 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(84(a,1),447(a,1,2))]. 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. 770 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(93(a,1),447(a,1,2,2))]. 771 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(116(a,1),449(a,1,2))]. 774 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(223(a,1),479(a,1,2))]. 776 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(243(a,2),556(a,1,2))]. 778 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(357(a,1),587(a,2,2))]. 779 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(135,a,588,a),flip(a)]. 780 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(123,a,103,a(flip),b,588,a),flip(a)]. 781 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(593(a,1),355(a,1,1))]. 782 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(274(a,1),593(a,1,1,1)),flip(a)]. 783 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(135,a,594,a),flip(a)]. 784 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(128,a,594,a)]. 785 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(123,a,594,a(flip),b,335,a(flip))]. 786 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(123,a,594,a(flip),b,112,a(flip))]. 787 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(599(a,1),236(a,1,1)),flip(b)]. 788 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(203(a,1),599(a,1,1,2))]. 789 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),599(a,1,1,2)),flip(a)]. 790 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(357(a,1),599(a,1,1,2))]. 791 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(452(a,1),599(a,1,1,2))]. 792 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(698(a,2),599(a,1,1,2)),flip(a)]. 794 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(23(a,2),600(a,1,1,2,1))]. 795 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(90(a,1),600(a,1,1,2,1))]. 796 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(600(a,1),236(a,1,1)),flip(b)]. 797 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(254,a,638,a)]. 798 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [hyper(124,a,638,a(flip),b,27,a(flip)),flip(a)]. 800 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(638(a,1),263(a,1,2))]. 801 T(x,y * ((x \ y) \ 1)) = x. [hyper(57,a,641,a)]. 802 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(271(a,2),717(a,1,1))]. 805 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(118(a,1),757(a,1,1,1)),flip(a)]. 806 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(124,a,779,a(flip),b,23,a(flip))]. 807 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(361(a,1),779(a,2,1,2))]. 808 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(451(a,1),779(a,2,1,2))]. 809 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(452(a,1),779(a,2,1,2))]. 810 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(453(a,1),779(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(486(a,1),783(a,2,1,2))]. 813 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(487(a,1),783(a,2,1,2))]. 814 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),783(a,2,1,2))]. 815 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(783(a,1),262(a,1,1))]. 816 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(124,a,35,a,b,215,a)]. 817 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(66,a,425,a(flip),b,219,a)]. 818 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(246(a,1),465(a,1,1))]. 819 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(124,a,363,a,b,215,a)]. 820 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(124,a,363,a,b,23,a(flip))]. 821 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(602(a,1),363(a,2,1))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(285,a,105,a(flip),b,364,a),flip(a)]. 823 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(124,a,364,a(flip),b,23,a(flip))]. 824 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(356(a,1),364(a,1,1)),flip(a)]. 826 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(652,a,824,a)]. 827 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(15(a,1),824(a,1,1,1))]. 828 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(230(a,1),385(a,1,2,1))]. 829 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),413(a,1,2,1))]. 830 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),413(a,1,2,1))]. 831 (x * y) * T(T((x * y) \ x,z),u) = x * (y * T(T(y \ 1,z),u)). [para(362(a,2),413(a,1,2,1))]. 833 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(457(a,1),30(a,2,1))]. 834 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),34(a,1,1)),flip(a)]. 835 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(457(a,1),35(a,1,1)),flip(a)]. 836 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(113(a,1),471(a,1,1,1))]. 837 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(630,a,490,a),flip(a)]. 838 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(452(a,1),504(a,1,2,1)),flip(a)]. 839 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),265(a,1,2))]. 841 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(124,a,547,a,b,106,a),flip(a)]. 842 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(548(a,2),335(a,1,1))]. 845 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(122,a,564,a(flip),b,244,a)]. 846 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(362(a,1),564(a,1,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(179(a,1),570(a,1,1,1))]. 848 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(123,a,572,a(flip),b,247,a),flip(a)]. 849 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(123,a,573,a(flip),b,355,a)]. 850 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(203(a,1),582(a,2,1)),flip(a)]. 851 T(x,y) = (y * x) \ ((x * y) * x). [hyper(285,a,727,a(flip),b,589,a)]. 852 (x * y) * T(y,x) = (y * x) * y. [hyper(124,a,727,a(flip),b,589,a)]. 853 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(116(a,1),589(a,1,2,1)),flip(a)]. 854 R(T(x,y * L(z,y,x)),y,L(z,y,x)) = (y * L(z,y,x)) \ (x * (y * z)). [para(103(a,1),589(a,1,2)),flip(a)]. 855 ((x \ 1) * x) \ x = T(x,x \ 1). [para(81(a,1),851(a,2,2)),flip(a)]. 857 (x * (y / x)) * x = y * T(x,y / x). [hyper(293,a,852,a),flip(a)]. 858 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(122,a,852,a(flip),b,96,a)]. 859 K(x \ 1,x) \ x = T(x,x \ 1). [para(243(a,2),855(a,1,1))]. 860 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(124,a,117,a(flip),b,859,a)]. 861 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(335(a,1),592(a,1))]. 862 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(598(a,1),418(a,1,1))]. 863 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(87(a,1),629(a,1,1,1))]. 865 ((1 / x) * (x / y)) * y = a(1 / x,x / y,y). [hyper(193,a,645,a),flip(a)]. 867 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(285,a,30,a,b,677,a),flip(a)]. 868 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(122,a,150,a(flip),b,679,a),flip(a)]. 869 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(681(a,1),47(a,1))]. 870 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(214(a,1),789(a,2,1,2))]. 871 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(862(a,1),47(a,1))]. 873 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(116(a,1),647(a,1,1,2))]. 875 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(14(a,1),797(a,1,1,2,1,2))]. 876 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(797(a,1),236(a,1,1)),flip(b)]. 877 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(66,a,464,a,b,798,a)]. 878 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(87(a,1),798(a,1,1,1,2)),flip(a)]. 879 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(113(a,2),798(a,1,1,1,2))]. 880 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(113(a,1),805(a,1,1,1))]. 881 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(688,a,838,a),flip(a)]. 882 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(263,a,838,a),flip(a)]. 883 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(13(a,1),838(a,2,2,1))]. 884 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(15(a,1),838(a,2,2,1))]. 885 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(838(a,1),263(a,1))]. 886 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(66,a,419,a(flip),b,883,a)]. 888 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(886(a,1),310(a,1,2))]. 889 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(886(a,1),215(a,1,2,2))]. 890 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(533,a,845,a)]. 891 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(13(a,1),845(a,1,2,1))]. 892 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(15(a,1),845(a,1,2,1)),flip(a)]. 894 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(891(a,1),698(a,2,1)),flip(a)]. 895 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(90(a,1),894(a,1,1,2,1))]. 896 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(639,a,848,a),flip(a)]. 897 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(629,a,848,a)]. 898 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(12(a,1),848(a,2,1,1))]. 899 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(118(a,1),848(a,1,1)),flip(a)]. 900 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(848(a,1),629(a,1))]. 901 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(629,a,898,a)]. 902 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(898(a,1),629(a,1))]. 903 (1 / x) * T(x,y) = T(x,y) / x. [para(90(a,1),901(a,1,2,1))]. 904 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(901(a,1),894(a,1,1))]. 905 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(315,a,903,a),flip(a)]. 906 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(224,a,903,a,b,15,a),flip(a)]. 907 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(135,a,903,a)]. 908 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(66,a,280,a(flip),b,903,a),flip(a)]. 909 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(903(a,1),21(a,2,1)),flip(a)]. 910 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(903(a,1),315(a,1))]. 911 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(903(a,1),670(a,1,2))]. 912 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(621,a,906,a)]. 913 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(117(a,1),908(a,1,1)),flip(a)]. 914 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(285,a,417,a(flip),b,849,a),flip(a)]. 915 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(15(a,1),882(a,1,2,1)),flip(a)]. 917 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(123,a,884,a(flip),b,417,a)]. 918 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(123,a,884,a(flip),b,116,a(flip))]. 919 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(263,a,892,a)]. 920 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(892(a,1),398(a,1,2))]. 921 (1 / x) \ T((y \ (1 / x)) * y,x) = (x \ K(y \ (1 / x),y)) * x. [para(97(a,1),919(a,1,1,2)),flip(a)]. 923 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(17(a,1),899(a,1,1,1)),flip(a)]. 924 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(285,a,838,a(flip),b,914,a),flip(a)]. 925 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(136,a,914,a)]. 926 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(17(a,1),914(a,1,1,1)),flip(a)]. 927 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(32(a,2),918(a,1,1,2))]. 929 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(923(a,1),98(a,1,1)),flip(a)]. 930 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(14(a,1),925(a,1,1,2,1)),flip(a)]. 931 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(263,a,926,a)]. 932 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(115(a,1),930(a,2,1,2))]. 933 K((x * y) * (x \ 1),y) = 1. [hyper(58,a,932,a)]. 934 K(((1 / x) * y) * x,y) = 1. [para(90(a,1),933(a,1,1,2))]. 935 K(x * y,(1 / y) \ x) = 1. [para(15(a,1),934(a,1,1,1))]. 936 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(903(a,1),331(a,1,2,2))]. 937 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),410(a,1,2,1))]. 938 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),410(a,1,2,1))]. 939 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(662(a,1),410(a,1,2,1))]. 940 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),411(a,1,2,1))]. 941 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),411(a,1,2,1))]. 942 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,448,a),flip(a)]. 943 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(122,a,472,a(flip),b,582,a)]. 944 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(487(a,1),472(a,1,1,1)),flip(a)]. 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(113(a,1),473(a,1,1,1))]. 946 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(886(a,1),497(a,1,1,1))]. 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(452(a,1),503(a,1,2,1)),flip(a)]. 949 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(356(a,1),506(a,1,2,1))]. 950 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(451(a,1),506(a,1,2,1))]. 951 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(734(a,1),508(a,1,1,1))]. 952 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(30(a,1),951(a,1,1))]. 953 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(38,a,923,a,b,952,a(flip))]. 954 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(185,a,953,a)]. 955 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(138,a,953,a)]. 957 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(40,a,173,a,b,954,a),flip(a)]. 958 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(955(a,1),105(a,2,1))]. 959 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(955(a,1),670(a,1,2))]. 961 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(203(a,1),957(a,2,2))]. 962 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(180,a,961,a)]. 963 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(136,a,961,a)]. 964 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(15(a,1),962(a,1,1,2,1))]. 966 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(963(a,1),21(a,2,1)),flip(a)]. 968 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),542(a,1,1,1))]. 969 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(652,a,565,a)]. 970 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(821(a,1),565(a,1,1))]. 971 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [hyper(66,a,650,a(flip),b,695,a)]. 972 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(124,a,695,a(flip),b,104,a),flip(a)]. 973 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(695(a,1),30(a,2,1))]. 974 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(702(a,1),467(a,1,1)),flip(a)]. 975 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [hyper(66,a,32,a,b,715,a)]. 976 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(785(a,1),118(a,1,1)),flip(a)]. 977 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(368(a,1),785(a,1,1,2))]. 978 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(904(a,1),587(a,1,1)),flip(a)]. 979 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(942(a,1),46(a,1)),flip(a)]. 980 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(12(a,1),975(a,2,1,2))]. 981 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(14(a,1),975(a,1,1,1)),flip(a)]. 985 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(666(a,1),586(a,1,2))]. 986 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(37,a,223,a,b,595,a)]. 988 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(122,a,986,a,b,15,a)]. 989 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(122,a,986,a(flip),b,336,a),flip(a)]. 991 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(383,a,722,a),flip(a)]. 992 T(x,y) * (x * z) = x * (T(x,y) * z). [para(221(a,1),991(a,1,2)),flip(a)]. 993 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(552,a,992,a)]. 994 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(551,a,992,a),flip(a)]. 995 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(526,a,992,a)]. 996 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(303,a,992,a),flip(a)]. 997 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(285,a,152,a(flip),b,992,a),flip(a)]. 998 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(128,a,992,a)]. 999 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(122,a,152,a(flip),b,992,a)]. 1000 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(122,a,82,a(flip),b,992,a),flip(a)]. 1001 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(17(a,1),992(a,1,2)),flip(a)]. 1003 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(992(a,2),46(a,1))]. 1004 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(116(a,1),992(a,1,2)),flip(a)]. 1005 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),992(a,1,1)),flip(a)]. 1007 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(135,a,1000,a)]. 1008 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(128,a,1000,a)]. 1009 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(123,a,1000,a(flip),b,116,a)]. 1012 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1007(a,1),917(a,2,1))]. 1013 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(285,a,281,a(flip),b,993,a),flip(a)]. 1014 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),993(a,1,2))]. 1015 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(995(a,1),130(a,1,1)),flip(a)]. 1016 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(995(a,1),307(a,1,1)),flip(b)]. 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(224,a,116,a,b,997,a),flip(a)]. 1019 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(224,a,997,a,b,15,a)]. 1020 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(122,a,245,a,b,997,a)]. 1021 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(37,a,412,a,b,997,a),flip(a)]. 1022 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(37,a,272,a,b,997,a),flip(a)]. 1024 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(997(a,1),304(a,1,2)),flip(b)]. 1025 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(118(a,1),1018(a,1,2,1))]. 1026 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(224,a,733,a,b,1004,a)]. 1027 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(37,a,412,a,b,1004,a),flip(a)]. 1029 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(136,a,1012,a)]. 1030 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(118(a,1),1025(a,2,2))]. 1031 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(14(a,1),1030(a,1,2,1))]. 1032 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(118(a,1),1029(a,1,1)),flip(a)]. 1033 T(x,y) = ((x * y) / x) * (y \ x). [para(14(a,1),1031(a,2,2)),flip(a)]. 1034 T(x,y) / (y \ x) = (x * y) / x. [hyper(123,a,1033,a,b,xx)]. 1035 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(122,a,1033,a,b,116,a),flip(a)]. 1036 ((x * y) / x) \ T(x,y) = y \ x. [hyper(122,a,1033,a,b,xx)]. 1037 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(17(a,1),1033(a,2,1,1)),flip(a)]. 1038 ((x * (x / y)) / x) * y = T(x,x / y). [para(90(a,1),1033(a,2,2)),flip(a)]. 1039 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(367(a,1),1033(a,2,2)),flip(a)]. 1040 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(394(a,1),1033(a,2,2)),flip(a)]. 1041 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(14(a,1),1034(a,1,2)),flip(a)]. 1043 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(66,a,798,a(flip),b,1038,a)]. 1044 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(122,a,1038,a(flip),b,798,a(flip))]. 1045 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(90(a,1),1043(a,1,2,1,2))]. 1046 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(789(a,2),1043(a,1,2))]. 1048 T(x \ T(y,y / x),y) = x \ y. [para(1044(a,2),208(a,1,1))]. 1049 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1044(a,1),381(a,1,2))]. 1050 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(87(a,1),1048(a,1,1,2,2))]. 1051 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(285,a,117,a,b,1050,a),flip(a)]. 1052 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1035(a,1),867(a,1,1))]. 1053 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(123,a,208,a(flip),b,1037,a),flip(a)]. 1054 T(T(x * y,x) / y,x * y) = x. [para(1041(a,1),208(a,1,1))]. 1055 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1041(a,1),817(a,1,1))]. 1056 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(355(a,1),1054(a,1,1,1,1))]. 1057 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(630,a,1055,a)]. 1059 L(R(x,y,T(x,y)),y,x) = x. [para(1057(a,1),450(a,1,1))]. 1060 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(209(a,1),1045(a,1,2)),flip(a)]. 1062 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(245(a,2),1024(a,1,2))]. 1063 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(220(a,1),1024(a,1))]. 1064 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),1001(a,1,2))]. 1065 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(117(a,1),1013(a,1,2,1))]. 1067 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1014(a,1),1016(a,1))]. 1068 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(906(a,1),1022(a,1,2))]. 1071 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(122,a,1046,a(flip),b,103,a(flip))]. 1072 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(105(a,1),762(a,1,2,1))]. 1073 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(128,a,841,a)]. 1076 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(325(a,1),841(a,1,2))]. 1077 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(629,a,842,a),flip(a)]. 1078 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(909(a,1),105(a,1,1)),flip(a)]. 1079 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(32(a,2),943(a,2,2))]. 1080 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(13(a,1),947(a,2,2,1))]. 1081 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(268(a,1),947(a,1,2)),flip(a)]. 1082 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(138,a,950,a)]. 1084 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(285,a,587,a(flip),b,968,a),flip(a)]. 1085 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(13(a,1),969(a,2,1))]. 1086 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(128,a,1085,a)]. 1087 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(122,a,369,a(flip),b,1085,a),flip(a)]. 1088 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(37,a,658,a,b,1085,a),flip(a)]. 1089 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1085(a,1),304(a,1,2)),flip(b)]. 1090 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(607(a,2),1085(a,1,2))]. 1091 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(285,a,205,a(flip),b,1090,a),flip(a)]. 1092 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(123,a,368,a(flip),b,1090,a)]. 1093 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(224,a,1091,a,b,15,a),flip(a)]. 1095 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(285,a,798,a(flip),b,977,a),flip(a)]. 1096 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),1005(a,1,2,1))]. 1097 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(208(a,1),1005(a,1,2,1)),flip(a)]. 1098 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(230(a,1),1005(a,1,2,1)),flip(a)]. 1099 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(380,a,1096,a),flip(a)]. 1100 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(285,a,89,a(flip),b,1096,a),flip(a)]. 1101 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(122,a,82,a(flip),b,1096,a),flip(a)]. 1102 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(771,a,1100,a)]. 1103 (1 / x) * K(x \ 1,x) = x \ 1. [para(243(a,2),1100(a,1,2))]. 1104 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(128,a,1103,a)]. 1105 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1103(a,1),475(a,2,2))]. 1106 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1104(a,1),561(a,1,2,1))]. 1107 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1102(a,1),506(a,1,2,1))]. 1108 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(66,a,913,a(flip),b,1099,a)]. 1109 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1101(a,1),46(a,1))]. 1110 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(692,a,1073,a)]. 1111 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(122,a,398,a(flip),b,1073,a(flip))]. 1113 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(285,a,901,a(flip),b,1110,a),flip(a)]. 1114 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(285,a,883,a(flip),b,1110,a),flip(a)]. 1115 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(123,a,1110,a,b,417,a)]. 1116 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(906(a,1),1110(a,1,1))]. 1119 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1034(a,1),1111(a,1,2,1,2))]. 1120 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(136,a,1113,a(flip)),flip(a)]. 1121 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(601(a,1),1113(a,2,1))]. 1122 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(118(a,1),1114(a,2,2))]. 1123 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(208(a,1),1114(a,2,2))]. 1124 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(16(a,1),1115(a,1,1,1,2))]. 1126 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1077(a,1,1))]. 1127 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(122,a,1079,a,b,xx)]. 1128 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(90(a,1),1084(a,1,1,1,2))]. 1129 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(15(a,1),1092(a,1,2,1,2))]. 1130 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(180,a,1129,a)]. 1131 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(285,a,222,a(flip),b,1107,a),flip(a)]. 1132 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(124,a,222,a(flip),b,1107,a)]. 1133 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(357(a,1),1131(a,1,2)),flip(a)]. 1134 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(285,a,203,a(flip),b,1132,a)]. 1135 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(203(a,1),1134(a,2,2,1)),flip(a)]. 1136 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(128,a,1135,a)]. 1137 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1123(a,2),117(a,1,2))]. 1138 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1123(a,2),632(a,1,2))]. 1139 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1126(a,1),294(a,1,1)),flip(b)]. 1140 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(325(a,1),1126(a,1,1))]. 1141 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(883(a,1),1126(a,1,1))]. 1143 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(587(a,1),544(a,1,1))]. 1144 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(453(a,1),649(a,1,2,1)),flip(a)]. 1145 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(454(a,1),651(a,1,2,1)),flip(a)]. 1146 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(66,a,411,a(flip),b,668,a)]. 1147 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(223(a,1),1146(a,1,2)),flip(a)]. 1148 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(552,a,1147,a)]. 1149 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(526,a,1147,a)]. 1150 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(380,a,1147,a),flip(a)]. 1152 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1147,a)]. 1153 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1147,a),flip(a)]. 1154 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(116(a,1),1147(a,1,2)),flip(a)]. 1155 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1147(a,1),216(a,1,2))]. 1156 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(135,a,1150,a)]. 1157 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(128,a,1150,a)]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(66,a,595,a,b,1150,a)]. 1159 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(123,a,1150,a(flip),b,223,a)]. 1160 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1150(a,1),607(a,1,1,2)),flip(a)]. 1161 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),638(a,2,1))]. 1162 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [hyper(124,a,1153,a(flip),b,403,a),flip(a)]. 1163 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1153(a,1),881(a,1,2,1,2))]. 1165 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1157(a,1),1122(a,2,2))]. 1166 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(112(a,1),1148(a,1,2)),flip(a)]. 1167 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(135,a,1166,a),flip(a)]. 1168 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(224,a,112,a(flip),b,1154,a),flip(a)]. 1169 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(128,a,1168,a)]. 1170 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(368(a,1),682(a,1,1,1))]. 1171 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(124,a,696,a(flip),b,104,a),flip(a)]. 1172 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(122,a,696,a(flip),b,242,a),flip(a)]. 1173 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(703(a,1),467(a,1,1)),flip(a)]. 1174 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(66,a,473,a(flip),b,729,a),flip(a)]. 1176 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(780(a,2),49(a,1))]. 1177 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(203(a,1),806(a,1,2,1,2))]. 1178 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),806(a,1,2,1,2))]. 1179 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),806(a,1,2,1,2))]. 1180 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(124,a,807,a(flip),b,106,a),flip(a)]. 1181 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(122,a,808,a(flip),b,244,a)]. 1182 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(122,a,809,a(flip),b,242,a),flip(a)]. 1183 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(123,a,812,a(flip),b,247,a),flip(a)]. 1184 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(124,a,833,a(flip),b,215,a)]. 1185 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(993(a,1),870(a,1,1,1))]. 1186 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1038(a,1),876(a,1))]. 1187 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(17(a,1),885(a,1,2,1))]. 1188 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [hyper(122,a,895,a(flip),b,1082,a),flip(a)]. 1191 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(112(a,1),442(a,1,2))]. 1192 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(122,a,477,a(flip),b,112,a)]. 1193 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(620(a,1),412(a,2,2))]. 1194 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),763(a,1,2,1))]. 1196 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),820(a,1,1))]. 1198 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(639,a,836,a),flip(a)]. 1199 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(629,a,836,a)]. 1200 (x * T(y,z)) * y = (x * y) * T(y,z). [para(418(a,1),1198(a,1,1))]. 1201 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(550,a,1200,a)]. 1202 (1 / T(x,y)) * x = x / T(x,y). [hyper(525,a,1200,a),flip(a)]. 1203 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(293,a,1200,a),flip(a)]. 1204 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(285,a,150,a(flip),b,1200,a),flip(a)]. 1205 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(128,a,1200,a)]. 1206 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(123,a,150,a(flip),b,1200,a)]. 1207 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(549,a,1200,a(flip)),flip(a)]. 1209 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(116(a,1),1200(a,2,1))]. 1210 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(118(a,1),1200(a,1,1,2)),flip(a)]. 1211 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(128,a,1202,a)]. 1213 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1211(a,1),923(a,1,1)),flip(a)]. 1214 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1201(a,2),225(a,2)),flip(a)]. 1216 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1060(a,2),1203(a,1,1))]. 1218 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1205(a,1),981(a,1,1)),flip(a)]. 1220 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(667(a,1),1218(a,1,1,2))]. 1221 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1216(a,1),1004(a,1,2)),flip(a)]. 1222 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(135,a,1221,a),flip(a)]. 1223 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(66,a,1060,a(flip),b,1222,a),flip(a)]. 1224 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(221(a,1),1209(a,1,1))]. 1225 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(224,a,1224,a,b,116,a(flip))]. 1226 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(123,a,81,a(flip),b,1224,a)]. 1229 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(118(a,1),1210(a,1,2))]. 1230 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(208(a,1),1210(a,1,2)),flip(a)]. 1231 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(550,a,1229,a)]. 1232 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(525,a,1229,a),flip(a)]. 1233 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(123,a,150,a(flip),b,1229,a)]. 1234 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(224,a,1232,a,b,15,a),flip(a)]. 1235 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1232(a,1),225(a,2)),flip(a)]. 1236 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(285,a,886,a(flip),b,1226,a),flip(a)]. 1237 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1234(a,1),1113(a,1,1))]. 1238 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(384,a,939,a),flip(a)]. 1239 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(222(a,1),1238(a,1,2)),flip(a)]. 1240 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(552,a,1239,a)]. 1241 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(551,a,1239,a),flip(a)]. 1242 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(380,a,1239,a),flip(a)]. 1243 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(303,a,1239,a),flip(a)]. 1244 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(128,a,1239,a)]. 1245 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1239,a)]. 1246 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1239,a),flip(a)]. 1247 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(122,a,1239,a(flip),b,96,a)]. 1248 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1239(a,1),216(a,1,2))]. 1249 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(128,a,1242,a)]. 1250 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1242(a,1),607(a,1,1,2)),flip(a)]. 1251 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(827(a,1),1242(a,1,1)),flip(a)]. 1252 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1246(a,1),21(a,2,1)),flip(a)]. 1253 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1246(a,1),881(a,1,2,1,2))]. 1254 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1249(a,1,1))]. 1255 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(128,a,1241,a)]. 1259 (x * (y * z)) \ ((x * y) * ((((x * y) \ (x * (y * z))) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(19(a,2),971(a,2,1))]. 1260 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(128,a,972,a)]. 1261 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(13(a,1),972(a,2,2,1,2))]. 1262 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(128,a,1261,a),flip(a)]. 1263 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(122,a,116,a(flip),b,1261,a),flip(a)]. 1264 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(325(a,1),1261(a,1,2)),flip(a)]. 1265 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1110(a,2),1261(a,1,2)),flip(a)]. 1266 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(285,a,396,a,b,1263,a)]. 1267 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(122,a,396,a,b,1263,a),flip(a)]. 1268 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(122,a,1265,a,b,xx),flip(a)]. 1269 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(66,a,897,a(flip),b,1265,a)]. 1270 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(14(a,1),1265(a,1,2,1)),flip(a)]. 1271 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(21(a,2),1265(a,2,2,1,2,2))]. 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(23(a,2),1265(a,2,2,1,2,2))]. 1276 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(203(a,2),1267(a,1,1,1))]. 1277 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1267(a,2),689(a,1))]. 1278 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(16(a,1),1268(a,1,1,2))]. 1279 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(27(a,2),1268(a,1,1,2,2))]. 1280 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(90(a,1),1268(a,2,2,2,1))]. 1281 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [hyper(124,a,1276,a,b,358,a),flip(a)]. 1282 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1276(a,1),905(a,1,1))]. 1283 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(17(a,1),1269(a,1,1,1)),flip(a)]. 1284 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(406(a,1),1270(a,1,2,1,2))]. 1285 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(744(a,1),1280(a,2,2))]. 1286 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(12(a,1),974(a,2,1,1,1))]. 1287 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(417(a,1),974(a,1,1))]. 1288 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(285,a,417,a(flip),b,1286,a),flip(a)]. 1289 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1288(a,1,1))]. 1290 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(325(a,1),1289(a,1,1))]. 1291 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1110(a,2),1289(a,1,1))]. 1292 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(135,a,1291,a),flip(a)]. 1293 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(16(a,1),1292(a,1,1,2))]. 1294 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(25(a,2),1292(a,1,1,2,2))]. 1295 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1050(a,1),1292(a,2,1,2))]. 1296 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(285,a,414,a(flip),b,1290,a),flip(a)]. 1297 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(118(a,1),1032(a,1,2)),flip(a)]. 1298 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(87(a,1),1297(a,1,2,1,1)),flip(a)]. 1299 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(14(a,1),1097(a,1,1)),flip(a)]. 1300 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(552,a,1299,a)]. 1301 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(380,a,1299,a),flip(a)]. 1302 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(122,a,152,a(flip),b,1299,a)]. 1303 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(135,a,1301,a)]. 1304 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(66,a,878,a,b,1301,a)]. 1306 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(691,a,1300,a),flip(a)]. 1308 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(66,a,182,a(flip),b,1098,a),flip(a)]. 1310 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(380,a,1308,a),flip(a)]. 1312 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(285,a,89,a(flip),b,1308,a),flip(a)]. 1313 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(122,a,152,a(flip),b,1308,a)]. 1314 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1308(a,1),21(a,2,1)),flip(a)]. 1315 (1 / (1 / x)) * K(x,1 / x) = x. [para(245(a,2),1312(a,1,2))]. 1316 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(66,a,1232,a(flip),b,1310,a)]. 1317 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(787,a,1170,a),flip(a)]. 1318 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(78(a,1),1172(a,2,2,1))]. 1319 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(27(a,2),1318(a,1,2,1)),flip(a)]. 1320 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(123,a,1182,a(flip),b,798,a)]. 1321 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(66,a,1038,a(flip),b,1183,a),flip(a)]. 1322 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(12(a,1),1183(a,2,1,1,2))]. 1323 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(15(a,1),1321(a,1,1,1,2)),flip(a)]. 1324 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1321(a,1),487(a,1,1))]. 1325 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(285,a,1223,a(flip),b,1324,a),flip(a)]. 1326 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(876,a,1322,a)]. 1327 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(90(a,1),1326(a,1,2,1,2))]. 1328 x \ y != ((z * (u \ 1)) / z) / (u \ 1) | x * (u * ((z * (u \ 1)) / z)) = y. [para(1327(a,1),578(a,2))]. 1329 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1199(a,2,1))]. 1330 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(14(a,1),1230(a,1,1,2)),flip(a)]. 1331 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(550,a,1330,a)]. 1332 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(123,a,150,a(flip),b,1330,a)]. 1333 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1045(a,1),1330(a,1,1)),flip(a)]. 1334 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(931(a,1),1332(a,1,1,2,1)),flip(a)]. 1335 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(293,a,1333,a),flip(a)]. 1336 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1015,a,1335,a)]. 1338 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(135,a,1336,a)]. 1340 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(66,a,1323,a,b,1338,a)]. 1341 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(14(a,1),1340(a,1,2,2,2)),flip(a)]. 1342 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(210(a,1),1260(a,1,2,2,1)),flip(a)]. 1343 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(680(a,1),1260(a,1,2,2,1)),flip(a)]. 1344 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(124,a,1110,a(flip),b,1279,a(flip))]. 1345 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [hyper(122,a,1283,a(flip),b,1265,a),flip(a)]. 1346 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1211(a,1),1345(a,1,1)),flip(a)]. 1347 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(185,a,1346,a)]. 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1347(a,1),118(a,1,1)),flip(a)]. 1350 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),1115(a,1,1,1))]. 1351 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(285,a,417,a(flip),b,1287,a),flip(a)]. 1352 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(123,a,417,a(flip),b,1287,a)]. 1353 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(587(a,1),1317(a,1,1))]. 1354 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(66,a,830,a(flip),b,1329,a)]. 1355 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(66,a,684,a(flip),b,1329,a),flip(a)]. 1356 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(224,a,1329,a(flip),b,830,a(flip)),flip(a)]. 1357 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(12(a,1),1329(a,1,2,1,2))]. 1359 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(27(a,2),1356(a,1,2,1,2)),flip(a)]. 1360 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(122,a,1359,a,b,xx)]. 1361 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(326(a,1),1359(a,1,1,2,1)),flip(a)]. 1362 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(14(a,1),1360(a,1,2,1,2,1)),flip(a)]. 1363 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1360(a,1),240(a,1,2)),flip(b)]. 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(66,a,830,a(flip),b,1357,a)]. 1365 T(x,x * T(x \ 1,y)) = x. [hyper(224,a,684,a(flip),b,1357,a(flip))]. 1366 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1357(a,1),1279(a,2,2))]. 1367 T(x,(x \ 1) * x) = x. [para(116(a,1),1365(a,1,2))]. 1369 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),731(a,1,1))]. 1370 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1365(a,1,2))]. 1371 T(x \ 1,x \ T(x,y)) = x \ 1. [para(883(a,1),1365(a,1,2))]. 1372 T(1 / x,T(x,y) / x) = 1 / x. [para(901(a,1),1365(a,1,2))]. 1373 R(x,x \ 1,x) = T(x,x \ 1). [para(1367(a,1),727(a,1,1))]. 1375 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1373(a,1),32(a,2,1))]. 1376 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(57,a,1371,a)]. 1377 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1372(a,1),425(a,1,1,2)),flip(a)]. 1378 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1370(a,1),727(a,1,1))]. 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1376(a,1),699(a,1,1)),flip(a)]. 1380 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(285,a,698,a,b,1379,a)]. 1382 T(K(x,y),x \ 1) = K(x,y). [para(21(a,2),1380(a,2,1)),flip(a)]. 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(57,a,1382,a)]. 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [hyper(124,a,1382,a(flip),b,27,a(flip)),flip(a)]. 1385 T(T(x \ 1,y),K(x,z)) = T(x \ 1,y). [para(1383(a,1),28(a,1,1)),flip(a)]. 1386 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1383(a,1),263(a,1,2))]. 1387 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),419(a,1,2)),flip(a)]. 1388 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(66,a,860,a(flip),b,1384,a),flip(a)]. 1390 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(116(a,1),1364(a,1,2)),flip(a)]. 1391 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1141(a,2),1364(a,1,2))]. 1392 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(264,a,1390,a)]. 1393 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(135,a,1390,a)]. 1394 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1136(a,1),1390(a,2,2,1,2)),flip(a)]. 1395 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1157(a,1),1393(a,1,1,2,1))]. 1396 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(285,a,27,a,b,1366,a)]. 1397 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(124,a,1366,a,b,xx),flip(a)]. 1399 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(285,a,1110,a(flip),b,1396,a)]. 1400 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(122,a,1396,a,b,1110,a(flip))]. 1401 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(325(a,1),1396(a,1,1)),flip(a)]. 1402 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(883(a,1),1396(a,1,1))]. 1403 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1281(a,2),1396(a,1,1)),flip(a)]. 1404 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(117(a,1),1403(a,1,1,2,2)),flip(a)]. 1405 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(285,a,15,a(flip),b,1387,a),flip(a)]. 1407 T(x,K(x \ 1,y)) = x. [hyper(134,a,1405,a)]. 1408 K(x \ 1,y) * x = x * K(x \ 1,y). [hyper(124,a,1407,a(flip),b,27,a(flip))]. 1410 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(263,a,1399,a),flip(a)]. 1411 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1371(a,1),1400(a,1,2,1,2)),flip(a)]. 1412 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(123,a,830,a(flip),b,1351,a)]. 1413 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(123,a,829,a(flip),b,1351,a),flip(a)]. 1414 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(123,a,116,a(flip),b,1351,a),flip(a)]. 1415 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1205(a,1),1352(a,1,1,2,1)),flip(a)]. 1416 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(15(a,1),1354(a,1,2,2,1,2,2))]. 1417 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(17(a,1),1354(a,1,2,2,1,2,2)),flip(a)]. 1418 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(326(a,1),1354(a,2,1,2,1))]. 1419 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1354(a,1,2,2,1,2)),flip(a)]. 1420 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(15(a,1),1411(a,2,2,1))]. 1422 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(188(a,1),1420(a,2,2))]. 1423 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(57,a,1422,a)]. 1425 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(58,a,1423,a)]. 1426 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(116(a,1),1417(a,1,1)),flip(a)]. 1427 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(838(a,1),1417(a,1,1)),flip(a)]. 1428 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1076(a,2),1417(a,1,1))]. 1429 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(66,a,830,a,b,1426,a)]. 1430 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(14(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1431 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(79(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1432 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1140(a,2),1426(a,1,2)),flip(a)]. 1433 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(209(a,1),1430(a,1,1,1,2)),flip(a)]. 1434 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(116(a,1),1433(a,1,2))]. 1435 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(225,a,1434,a)]. 1436 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(123,a,1435,a,b,xx)]. 1437 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(122,a,1435,a,b,271,a)]. 1438 x * (T((x \ y) * x,x) / x) = T(y,x). [hyper(124,a,1436,a,b,xx)]. 1440 x \ T(x * (y / x),x) = T(y,x) / x. [para(91(a,1),1436(a,1,1,1)),flip(a)]. 1442 x * (T(y * x,x) / x) = T(x * y,x). [para(14(a,1),1438(a,1,2,1,1,1))]. 1443 T(x * (y / x),x) = x * (T(y,x) / x). [para(91(a,1),1438(a,1,2,1,1)),flip(a)]. 1445 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(896(a,1),1442(a,1,2)),flip(a)]. 1447 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1150(a,1),1442(a,1,2,1,1))]. 1448 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(14(a,1),1437(a,1,2,1,1))]. 1449 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(285,a,1354,a(flip),b,1445,a),flip(a)]. 1450 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(85(a,1),1432(a,1,1,1,2)),flip(a)]. 1452 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(243(a,2),1450(a,2,1))]. 1453 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(14(a,1),1452(a,1,2,2)),flip(a)]. 1454 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(27(a,2),1452(a,1,2,2))]. 1455 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1453(a,1),216(a,1,2))]. 1456 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),1428(a,2,2,2,1,2))]. 1458 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(325(a,1),1456(a,2,2))]. 1460 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(788(a,1),1458(a,1,1,1))]. 1462 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(582(a,1),213(a,1,1))]. 1463 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(15(a,1),1462(a,1,1,2))]. 1464 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(123,a,575,a(flip),b,781,a)]. 1465 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(12(a,1),1464(a,1,1,1))]. 1466 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(17(a,1),1464(a,1,1,1)),flip(a)]. 1467 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1465(a,1),1114(a,1,1,2))]. 1468 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(124,a,810,a(flip),b,104,a),flip(a)]. 1469 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),816(a,1,2,1))]. 1470 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(357(a,1),964(a,1,2))]. 1471 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(185,a,1470,a)]. 1472 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(66,a,719,a(flip),b,1087,a),flip(a)]. 1473 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(87(a,1),1472(a,1,2)),flip(a)]. 1474 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(578,a,1473,a(flip))]. 1476 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(224,a,1474,a,b,15,a)]. 1478 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(357(a,1),1133(a,1,1)),flip(a)]. 1479 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(138,a,1478,a)]. 1481 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(285,a,14,a(flip),b,1479,a),flip(a)]. 1482 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(224,a,1479,a,b,15,a)]. 1483 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(14(a,1),1481(a,1,2,1))]. 1484 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1369(a,1,2)),flip(a)]. 1485 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1484(a,1,2)),flip(a)]. 1486 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1485(a,1),36(a,1,1)),flip(a)]. 1487 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1485(a,1),1168(a,1,1))]. 1488 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(15(a,1),716(a,2,1,1,2))]. 1489 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(285,a,417,a(flip),b,1488,a),flip(a)]. 1490 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(16(a,1),1489(a,1,1,1,2))]. 1491 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(861,a,1490,a)]. 1492 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(815,a,1039,a)]. 1493 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(798(a,1),1492(a,1,1))]. 1494 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1000(a,1),1493(a,1,1,2,1))]. 1495 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),941(a,1,1))]. 1496 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(285,a,587,a(flip),b,944,a),flip(a)]. 1497 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(796,a,945,a)]. 1498 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(815,a,1040,a)]. 1499 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1301(a,1),1498(a,1,1))]. 1500 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(135,a,1499,a)]. 1502 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(209(a,1),1499(a,1,1,2)),flip(a)]. 1503 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1500(a,1),912(a,1,3)),flip(a)]. 1504 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1093(a,1),391(a,1))]. 1505 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(90(a,1),1128(a,1,2)),flip(a)]. 1506 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(12(a,1),1505(a,2,1,1))]. 1507 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(128,a,1144,a)]. 1508 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(15(a,1),1145(a,2,2,1,2))]. 1509 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(308,a,1155,a),flip(a)]. 1510 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(128,a,1171,a)]. 1511 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(12(a,1),1173(a,2,1,1,1))]. 1512 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(285,a,593,a(flip),b,1511,a),flip(a)]. 1513 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(593(a,1),1512(a,1,1))]. 1514 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(135,a,1513,a),flip(a)]. 1515 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1514(a,1,1)),flip(a)]. 1516 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1049,a,1177,a)]. 1517 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1177(a,1,1))]. 1518 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1516(a,1),50(a,1)),flip(a)]. 1519 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1516(a,2),1493(a,1,1)),flip(a)]. 1520 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(128,a,1180,a)]. 1521 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(308,a,1248,a),flip(a)]. 1522 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1521(a,1),222(a,1,2))]. 1523 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(427,a,1522,a)]. 1524 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(87(a,1),1298(a,1,1,1)),flip(a)]. 1526 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1524(a,1),1065(a,1,2)),flip(a)]. 1527 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(285,a,223,a(flip),b,1319,a),flip(a)]. 1528 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(915(a,1),1527(a,1,2,1,2))]. 1529 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(231(a,1),1487(a,1,2))]. 1530 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(16(a,1),1496(a,1,1,1,1,1)),flip(a)]. 1531 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(587(a,1),1496(a,1,1))]. 1532 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(593(a,1),1497(a,2,1))]. 1533 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(13(a,1),1507(a,1,2,2,1,2)),flip(a)]. 1534 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(23(a,2),1533(a,1,1)),flip(a)]. 1535 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(13(a,1),1510(a,1,2,2,1,2)),flip(a)]. 1536 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(15(a,1),1520(a,1,2,2,1))]. 1537 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1536,a)]. 1538 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1536(a,1),434(a,1))]. 1539 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(285,a,1304,a(flip),b,1537,a),flip(a)]. 1540 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(87(a,1),1537(a,1,2,1)),flip(a)]. 1541 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(907(a,1),1537(a,1,2)),flip(a)]. 1542 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(954(a,1),1537(a,1,2)),flip(a)]. 1543 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1347(a,1),1537(a,1,2)),flip(a)]. 1544 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),1539(a,2,2,1))]. 1545 T(x,x / (x * (y \ x))) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,1516,a),flip(a)]. 1546 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1545(a,1,2))]. 1547 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(16(a,1),1546(a,2,2,2))]. 1548 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(419(a,2),1541(a,1,2,1))]. 1549 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(14(a,1),1530(a,1,2,1)),flip(a)]. 1550 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(587(a,1),1530(a,2,1))]. 1551 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(588(a,1),1549(a,1,1))]. 1552 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(550,a,1551,a)]. 1553 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(525,a,1551,a),flip(a)]. 1554 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(517,a,1551,a)]. 1555 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(128,a,1551,a)]. 1556 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(123,a,150,a(flip),b,1551,a)]. 1557 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(122,a,1551,a(flip),b,96,a)]. 1559 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1551(a,1),310(a,1,1))]. 1560 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(224,a,1553,a,b,15,a)]. 1562 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1553(a,1),355(a,1,1)),flip(a)]. 1563 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1554(a,1),297(a,1,2)),flip(b)]. 1564 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(178(a,1),1554(a,1,1,1)),flip(a)]. 1565 ((x * (y / z)) * z) \ ((x * y) * z) = L(z,y / z,x). [para(499(a,1),1554(a,1,1,1))]. 1567 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1555(a,1),981(a,1,1)),flip(a)]. 1568 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [para(1556(a,1),118(a,1,1))]. 1569 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1556(a,1,1)),flip(a)]. 1570 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1560(a,1),231(a,1,1))]. 1571 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(124,a,1567,a(flip),b,589,a)]. 1573 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(135,a,1569,a)]. 1574 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(128,a,1569,a),flip(a)]. 1575 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(123,a,460,a(flip),b,1569,a)]. 1577 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1569(a,1),308(a,1,2))]. 1578 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(17(a,1),1574(a,2,2,1,2)),flip(a)]. 1579 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(224,a,1571,a,b,15,a),flip(a)]. 1580 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(135,a,1571,a)]. 1581 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(123,a,151,a(flip),b,1571,a)]. 1583 a(1 / x,x / y,y) \ (((1 / x) * x) * y) = L(y,x / y,1 / x). [para(865(a,1),1565(a,1,1))]. 1584 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1562(a,2),47(a,1))]. 1585 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(123,a,938,a(flip),b,1531,a)]. 1586 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(85(a,1),1531(a,1,1,2,1,2)),flip(a)]. 1588 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(66,a,938,a(flip),b,1586,a)]. 1589 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(66,a,937,a(flip),b,1586,a)]. 1590 T(x,x * L(x \ 1,y,z)) = x. [hyper(224,a,823,a(flip),b,1586,a(flip))]. 1591 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(224,a,1586,a(flip),b,446,a(flip))]. 1593 K(x,x * L(x \ 1,y,z)) = 1. [hyper(58,a,1590,a)]. 1594 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(357(a,1),1590(a,1,2,2))]. 1595 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1080(a,1),1590(a,1,2))]. 1596 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1506(a,1),1590(a,1,2))]. 1597 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1242(a,2),1595(a,1,2))]. 1598 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1596(a,1),425(a,1,1,2)),flip(a)]. 1599 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(90(a,1),1594(a,1,2,2))]. 1600 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1594(a,1),667(a,1,2)),flip(a)]. 1601 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1597(a,1),727(a,1,1))]. 1602 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(57,a,1599,a)]. 1603 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(38,a,778,a,b,1600,a),flip(a)]. 1604 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(123,a,1508,a(flip),b,1588,a(flip)),flip(a)]. 1605 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1604(a,1,1)),flip(a)]. 1606 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(66,a,941,a(flip),b,1532,a)]. 1607 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(224,a,1532,a(flip),b,1171,a),flip(a)]. 1608 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(224,a,1532,a(flip),b,941,a(flip)),flip(a)]. 1609 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(122,a,1532,a(flip),b,1171,a),flip(a)]. 1610 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(12(a,1),1532(a,1,2,1,2))]. 1611 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1532(a,1,2,1)),flip(a)]. 1613 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(663(a,1),1532(a,1,2,1)),flip(a)]. 1614 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1611(a,1,1,2,1))]. 1616 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(525,a,1614,a),flip(a)]. 1617 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(517,a,1614,a)]. 1619 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(128,a,1614,a)]. 1620 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(123,a,150,a(flip),b,1614,a)]. 1621 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(123,a,88,a(flip),b,1614,a),flip(a)]. 1622 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(122,a,150,a(flip),b,1614,a)]. 1623 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(223(a,1),1614(a,1,1)),flip(a)]. 1624 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(828,a,1621,a)]. 1625 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(224,a,1621,a,b,15,a),flip(a)]. 1626 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1621(a,1),225(a,2)),flip(a)]. 1627 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1621(a,1),105(a,2,1))]. 1628 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1617(a,1),297(a,1,2)),flip(b)]. 1630 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1619(a,1),981(a,1,1)),flip(a)]. 1631 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1619(a,1),1329(a,1,2,1)),flip(a)]. 1632 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(66,a,837,a(flip),b,1630,a)]. 1633 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(124,a,1630,a(flip),b,589,a)]. 1634 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1630(a,1),223(a,1,2)),flip(a)]. 1635 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(796,a,1624,a)]. 1636 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(123,a,81,a(flip),b,1633,a)]. 1638 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(627,a,1636,a)]. 1639 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1625(a,1),656(a,1,1,2))]. 1640 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(27(a,2),1608(a,1,2,1,2)),flip(a)]. 1641 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(123,a,1640,a,b,593,a)]. 1642 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(122,a,1640,a,b,xx)]. 1643 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(188(a,1),1640(a,2,2,1,2))]. 1644 T(x,x * R(x \ 1,y,z)) = x. [hyper(57,a,1643,a)]. 1645 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1643(a,1),1443(a,2,2,1))]. 1646 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(90(a,1),1644(a,1,2,2,1))]. 1647 T(x,(y / (x * y)) * x) = x. [para(607(a,2),1644(a,1,2))]. 1648 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(595(a,1),1644(a,1,2))]. 1649 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1644(a,1,2))]. 1650 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1647(a,1),1026(a,1,1,1)),flip(a)]. 1651 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(57,a,1649,a)]. 1652 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1649(a,1),28(a,1,1)),flip(a)]. 1653 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1646(a,1),669(a,1,1,2))]. 1654 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1648(a,1),727(a,1,1))]. 1655 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1654(a,1),1169(a,1,1))]. 1656 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(14(a,1),1641(a,1,1,1,2,1)),flip(a)]. 1658 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(66,a,941,a(flip),b,1610,a)]. 1659 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(66,a,940,a(flip),b,1610,a)]. 1661 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(116(a,1),1623(a,1,1)),flip(a)]. 1662 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(285,a,118,a(flip),b,1632,a),flip(a)]. 1663 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(124,a,118,a(flip),b,1632,a)]. 1664 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(205(a,1),1663(a,1,1,2))]. 1665 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(285,a,12,a(flip),b,1664,a),flip(a)]. 1666 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(15(a,1),1665(a,1,1,2,2))]. 1667 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(66,a,938,a(flip),b,1550,a)]. 1668 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(66,a,823,a(flip),b,1550,a),flip(a)]. 1669 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(224,a,1550,a(flip),b,938,a(flip)),flip(a)]. 1671 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(27(a,2),1669(a,1,2,1,2)),flip(a)]. 1672 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(122,a,1671,a,b,xx)]. 1673 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(14(a,1),1672(a,1,2,1,2,1)),flip(a)]. 1674 a(1 / x,x / y,y) \ y = L(y,x / y,1 / x). [para(88(a,1),1583(a,1,2))]. 1675 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(1508(a,1),1585(a,1,1)),flip(a)]. 1676 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(14(a,1),1631(a,1,1,2,1))]. 1677 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(123,a,150,a(flip),b,1676,a)]. 1678 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(116(a,1),1677(a,1,1)),flip(a)]. 1679 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(224,a,1678,a,b,15,a),flip(a)]. 1681 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(601(a,1),1650(a,1,2))]. 1682 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(748(a,2),1675(a,1,2,1)),flip(a)]. 1683 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(585(a,1),1682(a,1,1)),flip(a)]. 1684 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(16(a,1),1683(a,1,1)),flip(a)]. 1685 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1684(a,1),118(a,1,1))]. 1686 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(285,a,1240,a(flip),b,1685,a),flip(a)]. 1687 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(27(a,2),1686(a,2,2))]. 1688 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(15(a,1),470(a,1,2,1))]. 1689 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1375(a,1),484(a,1,2,3))]. 1690 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(814(a,1),877(a,1,1))]. 1691 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1211(a,1),1690(a,2,2,1,2))]. 1692 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(32(a,2),1056(a,1,1,1))]. 1693 ((x \ ((x * y) / z)) * x) * z != u | x * (z * T(z \ y,x)) = u. [para(1429(a,1),1072(a,1))]. 1694 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(66,a,978,a(flip),b,1188,a),flip(a)]. 1695 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(242(a,1),1395(a,1,1))]. 1696 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(491(a,1),1494(a,2,2))]. 1697 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(12(a,1),1696(a,2,2,1))]. 1698 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(464(a,1),1692(a,1,1))]. 1699 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(355(a,1),1698(a,1,2))]. 1700 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1699(a,1),28(a,1,1)),flip(a)]. 1701 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1225(a,1),1700(a,1,1))]. 1702 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(17(a,1),1701(a,1,1)),flip(a)]. 1703 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1702(a,2,2))]. 1704 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(17(a,1),1703(a,1,1))]. 1705 T(x,x * (y \ 1)) = T(x,y \ x). [para(118(a,1),1704(a,1,2)),flip(a)]. 1706 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(746(a,1),1119(a,1,2,1))]. 1707 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(138,a,1706,a)]. 1708 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(66,a,1262,a(flip),b,1707,a),flip(a)]. 1709 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1653(a,1),1161(a,1,1))]. 1710 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(66,a,232,a(flip),b,1709,a)]. 1711 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1027(a,1),1184(a,2,2))]. 1712 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(21(a,2),1711(a,1,2,1)),flip(a)]. 1713 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(21(a,2),1271(a,1,2,1)),flip(a)]. 1714 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1110(a,1),1713(a,1,2))]. 1715 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(128,a,1714,a)]. 1716 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1594(a,1),1278(a,2,2,2))]. 1717 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(15(a,1),1295(a,2,1))]. 1718 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(128,a,1468,a)]. 1719 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1537(a,2),1468(a,1,2))]. 1720 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(13(a,1),1719(a,2,2,1,2,2))]. 1721 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(27(a,2),1720(a,1,2,2,1,2)),flip(a)]. 1722 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1029(a,1),1543(a,1,2,1))]. 1723 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1586(a,1),1589(a,1,2)),flip(a)]. 1724 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1080(a,1),1723(a,1,1)),flip(a)]. 1725 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1607(a,1,1))]. 1726 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1725(a,1,2,1,1))]. 1727 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(14(a,1),1726(a,2,1,2,1))]. 1728 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(600(a,1),1645(a,2,2))]. 1729 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(600(a,1),1728(a,1,1,2))]. 1730 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(205(a,1),1729(a,1,1,2))]. 1731 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(205(a,1),1730(a,2,2))]. 1732 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(66,a,1681,a,b,1731,a)]. 1733 T(x,x * (y / (x * y))) = x. [hyper(57,a,1731,a)]. 1734 T(x,x * ((x \ y) / y)) = x. [para(15(a,1),1733(a,1,2,2,2))]. 1735 T(x / y,(x / y) * (y / x)) = x / y. [para(17(a,1),1733(a,1,2,2,2))]. 1736 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1734(a,1),282(a,1,1)),flip(a)]. 1737 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1735(a,1),231(a,1,1)),flip(a)]. 1738 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(285,a,118,a(flip),b,1737,a),flip(a)]. 1739 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1738(a,1),1293(a,2,1,2))]. 1740 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1736(a,1),1293(a,2,1,2))]. 1741 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1610(a,1),1659(a,1,2)),flip(a)]. 1742 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),1741(a,1,1)),flip(a)]. 1743 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(823(a,1),1668(a,1,1))]. 1744 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(123,a,150,a(flip),b,1743,a)]. 1745 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(356(a,1),1743(a,1,1,2,2)),flip(a)]. 1746 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(356(a,1),1745(a,1,2,2)),flip(a)]. 1747 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(285,a,238,a(flip),b,1716,a),flip(a)]. 1749 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1747(a,1),1124(a,1,1)),flip(a)]. 1750 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(66,a,1482,a(flip),b,1749,a)]. 1751 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(391,a,1750,a)]. 1752 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(14(a,1),1750(a,1,1,2))]. 1753 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1751(a,1),1533(a,1,2)),flip(a)]. 1754 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(14(a,1),1752(a,2,2))]. 1755 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(185,a,1754,a)]. 1756 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(138,a,1754,a)]. 1757 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1755(a,1),1120(a,2,1,1,2)),flip(a)]. 1758 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(203(a,2),1756(a,1,1,1)),flip(a)]. 1759 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(123,a,203,a,b,1758,a(flip))]. 1760 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(13(a,1),1718(a,1,2,2,1,2,2)),flip(a)]. 1761 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(15(a,1),1739(a,2,1))]. 1762 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(285,a,85,a(flip),b,1761,a),flip(a)]. 1764 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(285,a,413,a(flip),b,750,a),flip(a)]. 1765 T(x,x * (y * T(y \ 1,x))) = x. [para(1764(a,1),258(a,1,2))]. 1766 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1764(a,1),1301(a,1,1)),flip(a)]. 1767 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1764(a,1),1327(a,1,2)),flip(a)]. 1768 T(x,x * K(y,x)) = x. [para(1266(a,2),1765(a,1,2,2))]. 1769 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1262(a,1),1765(a,1,2,2))]. 1770 T(x * K(y,x),x) = x * K(y,x). [hyper(57,a,1768,a)]. 1771 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1050(a,1),1769(a,1,2,2,2,2))]. 1772 T(x,x * (T(x,y) \ x)) = x. [para(15(a,1),1771(a,1,2,2,2))]. 1773 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1772(a,1),28(a,1,1)),flip(a)]. 1774 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(66,a,1019,a(flip),b,1773,a)]. 1775 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(185,a,1774,a)]. 1777 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1502(a,1),1774(a,1,1,2,1))]. 1778 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1214,a,1775,a)]. 1779 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(66,a,1201,a(flip),b,1775,a)]. 1780 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1775(a,2),670(a,1,2))]. 1781 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1778(a,1),417(a,1,1)),flip(a)]. 1782 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(411(a,1),794(a,1,1)),flip(a)]. 1783 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(66,a,1377,a(flip),b,911,a)]. 1785 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1783(a,1),638(a,1,1))]. 1786 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(66,a,232,a(flip),b,1785,a),flip(a)]. 1787 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1786(a,1),1541(a,1,2))]. 1788 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(973(a,1),1193(a,1,2))]. 1789 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(27(a,2),1788(a,1,2,1,1))]. 1790 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(66,a,415,a(flip),b,1789,a),flip(a)]. 1791 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1254(a,1,2,2))]. 1792 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(138,a,1791,a)]. 1793 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1792(a,1),878(a,1,2,1))]. 1794 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1792(a,1),1537(a,2,2,1)),flip(a)]. 1795 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(308,a,1455,a),flip(a)]. 1796 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(285,a,1502,a(flip),b,1777,a),flip(a)]. 1797 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1571(a,2),584(a,1,2))]. 1798 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(116(a,1),819(a,1,2,1,1)),flip(a)]. 1799 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(224,a,1610,a(flip),b,1798,a),flip(a)]. 1800 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(608,a,1799,a),flip(a)]. 1801 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1799(a,1,2,1,1)),flip(a)]. 1802 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(886(a,1),1800(a,2,1,2))]. 1803 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1378(a,1),1802(a,1,1,2)),flip(a)]. 1804 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(38,a,1410,a(flip),b,1803,a),flip(a)]. 1806 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1804(a,1),118(a,1,1))]. 1807 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1804(a,2),1425(a,1,2))]. 1808 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(66,a,1422,a(flip),b,1806,a),flip(a)]. 1810 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(15(a,1),1163(a,1,2,1)),flip(a)]. 1811 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(118(a,1),1810(a,1,1)),flip(a)]. 1812 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(118(a,1),1811(a,1,2)),flip(a)]. 1813 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(14(a,1),1812(a,1,1)),flip(a)]. 1814 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(14(a,1),1813(a,1,2)),flip(a)]. 1815 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(15(a,1),1253(a,1,2,1)),flip(a)]. 1816 L(x / y,z,u) \ T(x / y,y) = (y \ x) * (L(x / y,z,u) \ 1). [para(118(a,1),1815(a,1,1)),flip(a)]. 1817 (x \ y) * (L(y / x,z,u) \ 1) = L(y / x,z,u) \ (x \ y). [para(118(a,1),1816(a,1,2)),flip(a)]. 1818 L(x / (x / y),z,u) \ ((x / y) \ x) = y * (L(x / (x / y),z,u) \ 1). [hyper(66,a,182,a(flip),b,1817,a),flip(a)]. 1822 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(883(a,1),1391(a,2,1))]. 1823 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(37,a,272,a,b,1822,a),flip(a)]. 1824 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(15(a,1),1463(a,1,2,2)),flip(a)]. 1825 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(15(a,1),1824(a,1,3,2)),flip(a)]. 1827 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(224,a,1531,a,b,1469,a(flip))]. 1828 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(224,a,1550,a(flip),b,1469,a(flip)),flip(a)]. 1829 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(13(a,1),1469(a,1,2,1,2)),flip(a)]. 1830 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(224,a,1586,a(flip),b,1829,a),flip(a)]. 1831 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1830(a,1),46(a,1))]. 1832 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(203(a,1),1830(a,1,2)),flip(a)]. 1833 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(453(a,1),1830(a,2,1,2))]. 1834 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(903(a,1),1832(a,2,2,1))]. 1835 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1787(a,1),1834(a,1,1)),flip(a)]. 1836 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(15(a,1),1528(a,1,2,1)),flip(a)]. 1837 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(135,a,1836,a)]. 1839 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(66,a,927,a(flip),b,1837,a),flip(a)]. 1840 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(595(a,1),1609(a,2,2,1))]. 1841 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(207(a,1),1740(a,2,1))]. 1842 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(285,a,85,a(flip),b,1841,a),flip(a)]. 1844 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1842(a,1),1124(a,1,1)),flip(a)]. 1845 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(66,a,1476,a(flip),b,1844,a)]. 1846 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(90(a,1),1845(a,1,1,2,1))]. 1847 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(90(a,1),1846(a,2,2,1))]. 1848 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(138,a,1847,a)]. 1850 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1847(a,1),1762(a,1,1))]. 1851 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(16(a,1),1850(a,1,1,2))]. 1852 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(123,a,16,a(flip),b,1848,a),flip(a)]. 1853 K(1 / x,(y / (x * y)) * x) = 1. [para(16(a,1),1851(a,1,2,2))]. 1854 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(59,a,1853,a)]. 1855 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1504,a,1854,a)]. 1856 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(124,a,1854,a(flip),b,1093,a)]. 1857 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(205(a,2),1855(a,1,3))]. 1858 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1857(a,1),359(a,1,2))]. 1859 L(x \ 1,x,x \ 1) = 1 / x. [para(366(a,1),1857(a,1,3))]. 1860 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1859(a,1),30(a,2,1))]. 1861 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1859(a,1),35(a,1,1)),flip(a)]. 1862 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1859(a,1),359(a,1,2))]. 1863 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1859(a,1),1353(a,1,1,2)),flip(a)]. 1864 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1859(a,1),1588(a,2,1,2))]. 1865 T(1 / (1 / x),x \ 1) = x. [hyper(1235,a,1862,a)]. 1866 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(285,a,243,a,b,1862,a),flip(a)]. 1867 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1862(a,2),339(a,1))]. 1869 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1865(a,1),28(a,1,1)),flip(a)]. 1870 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1865(a,1),142(a,1,1)),flip(a)]. 1871 T(x,x \ 1) / x = K(x,x \ 1). [para(1865(a,1),1237(a,1,1)),flip(a)]. 1872 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(136,a,1866,a)]. 1873 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(66,a,1316,a(flip),b,1866,a)]. 1874 x * K(x \ 1,x) = 1 / (1 / x). [hyper(124,a,1866,a(flip),b,1316,a(flip))]. 1875 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1866(a,1),841(a,1,1))]. 1876 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(117(a,1),1871(a,1,1))]. 1877 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1872(a,1),103(a,1,1))]. 1878 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(66,a,358,a(flip),b,1873,a),flip(a)]. 1880 L(x,x \ 1,x) = 1 / (1 / x). [hyper(776,a,1874,a)]. 1881 K(x \ 1,x) * x = 1 / (1 / x). [hyper(66,a,1408,a,b,1874,a)]. 1885 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(1874(a,1),479(a,1,1,1))]. 1886 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1880(a,1),34(a,1,1)),flip(a)]. 1887 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1557(a,1,1,2,2))]. 1888 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(136,a,1876,a)]. 1889 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(124,a,1876,a(flip),b,1108,a(flip))]. 1890 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1881(a,1),328(a,1,1))]. 1892 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(66,a,1384,a,b,1889,a)]. 1893 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1892(a,1),499(a,1,1))]. 1894 T(x,1 / x) = T(x,x \ 1). [para(230(a,1),1869(a,1,1)),flip(a)]. 1895 T(x,1 / x) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1894,a),flip(a)]. 1896 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1894(a,1),425(a,1,1,2))]. 1897 T(x,x \ 1) / x = K(x,1 / x). [para(1894(a,1),737(a,1,1))]. 1898 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1894(a,1),736(a,2,1))]. 1899 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(87(a,1),1895(a,1,2))]. 1900 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1895(a,1),737(a,1,1))]. 1901 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1895(a,1),951(a,1,1,1))]. 1902 K(x,1 / x) = K(x,x \ 1). [hyper(66,a,1871,a(flip),b,1897,a),flip(a)]. 1903 K(x,x \ 1) = x * (1 / x). [hyper(402,a,1902,a),flip(a)]. 1904 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(66,a,626,a,b,1902,a)]. 1905 x \ K(x,x \ 1) = 1 / x. [hyper(122,a,1902,a(flip),b,245,a(flip))]. 1906 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(87(a,1),1902(a,1,2)),flip(a)]. 1908 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1902(a,1),1062(a,1,2))]. 1909 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1902(a,1),1315(a,1,2))]. 1910 (x \ 1) * K(x,1 / x) = 1 / x. [para(1902(a,2),1889(a,1,2))]. 1911 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(124,a,1903,a,b,1753,a),flip(a)]. 1912 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [hyper(124,a,1903,a,b,1244,a)]. 1913 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [hyper(124,a,1903,a,b,176,a)]. 1914 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(66,a,401,a,b,1903,a)]. 1916 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1903(a,2),100(a,1,1))]. 1917 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1903(a,2),106(a,1,2,2))]. 1918 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1903(a,2),445(a,1,1))]. 1919 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1903(a,2),981(a,1,1,2,1))]. 1920 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),830(a,1,1))]. 1921 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1903(a,2),1245(a,1,2))]. 1922 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1903(a,2),1746(a,1,1,2))]. 1923 x * (1 / x) != y | K(x,x \ 1) = y. [para(1905(a,1),240(a,1,2)),flip(b)]. 1926 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(285,a,284,a,b,1899,a)]. 1927 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(117(a,2),1899(a,2,1)),flip(a)]. 1928 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(90(a,1),1900(a,1,1,1)),flip(a)]. 1929 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [hyper(124,a,1909,a(flip),b,176,a)]. 1930 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1909(a,1),113(a,2,2))]. 1931 (1 / x) / K(x,1 / x) = x \ 1. [hyper(135,a,1910,a)]. 1933 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1927(a,1),359(a,1,2,1))]. 1934 R(1 / x,x,1 / x) = x \ 1. [hyper(623,a,1931,a)]. 1935 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1934(a,1),371(a,1,1)),flip(a)]. 1936 K(x,1 / x) != y | K(x,x \ 1) = y. [para(245(a,2),1923(a,1))]. 1937 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1926(a,1),1402(a,2,1,2,2))]. 1938 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1860(a,1),448(a,1,2))]. 1939 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1890(a,1),587(a,1,1,1)),flip(a)]. 1940 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1928(a,2),1867(a,1))]. 1941 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1935(a,1),176(a,1,1))]. 1942 K(x \ 1,x) * L(1 / x,y,z) != u | (x \ 1) * (x * L(x \ 1,y,z)) = u. [para(1861(a,1),764(a,1,2))]. 1943 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1886(a,1),1695(a,1,1))]. 1944 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1898(a,1),661(a,1,2))]. 1947 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1940,a,1902,a),flip(a)]. 1948 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(1902(a,1),1940(a,1))]. 1950 K(1 / x,x) != y | K(x \ 1,x) = y. [para(90(a,1),1948(a,1,2))]. 1951 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(1950,a,1916,a(flip)),flip(a)]. 1952 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1626,a,1858,a)]. 1953 T(1 / (1 / x),y / (x * y)) = x. [para(205(a,1),1952(a,1,2))]. 1954 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1952(a,1),1869(a,1,1)),flip(a)]. 1955 T(x,y / (x * y)) = T(x,x \ 1). [para(1953(a,1),1869(a,1,1)),flip(a)]. 1956 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1955,a),flip(a)]. 1957 T(x,(x \ y) / y) = T(x,x \ 1). [para(15(a,1),1955(a,1,2,2))]. 1958 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1955(a,1),1296(a,2,1))]. 1959 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(17(a,1),1956(a,1,2,2))]. 1960 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [hyper(124,a,1957,a(flip),b,27,a(flip))]. 1961 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1957(a,1),263(a,1,2))]. 1962 x \ T(x,x \ 1) = K(x,1 / x). [hyper(122,a,1954,a(flip),b,1547,a(flip))]. 1963 x * K(x,x \ 1) = T(x,x \ 1). [hyper(124,a,1902,a(flip),b,1962,a)]. 1964 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(66,a,278,a(flip),b,1962,a)]. 1965 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1963,a),flip(a)]. 1966 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(122,a,1955,a,b,1963,a)]. 1969 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1963(a,1),479(a,1,1,1))]. 1970 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(122,a,1964,a,b,245,a(flip))]. 1971 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(122,a,1964,a(flip),b,994,a),flip(a)]. 1972 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1964(a,2),1936(a,1))]. 1974 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [hyper(124,a,1959,a(flip),b,27,a(flip))]. 1975 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1959(a,1),418(a,1,1))]. 1976 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1896,a),flip(a)]. 1977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(90(a,1),1901(a,1,1,1,1)),flip(a)]. 1978 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1901(a,1),118(a,1,1))]. 1979 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1903(a,2),1922(a,2,2))]. 1980 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(209(a,1),1976(a,1,1)),flip(a)]. 1981 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(128,a,1979,a)]. 1982 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(123,a,150,a(flip),b,1979,a)]. 1983 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1981(a,1),981(a,1,1)),flip(a)]. 1984 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1982(a,1),118(a,1,1))]. 1985 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1982(a,1),630(a,1,1))]. 1986 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(16(a,1),1852(a,1,1)),flip(a)]. 1987 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1986(a,1),1121(a,1,1,2))]. 1989 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(285,a,1020,a(flip),b,1971,a),flip(a)]. 1990 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(37,a,628,a(flip),b,1975,a(flip))]. 1992 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(209(a,1),1980(a,1,1)),flip(a)]. 1993 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1992(a,1),1213(a,1,1))]. 1994 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1993(a,1),1207(a,1,1,1))]. 1995 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1526,a,b,1989,a)]. 1996 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1903(a,2),1863(a,2,1))]. 1997 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1996(a,1),1864(a,1,2))]. 1998 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1903(a,2),1997(a,2,1))]. 1999 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(14(a,1),1998(a,1,2,2)),flip(a)]. 2000 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(27(a,2),1998(a,1,2,2))]. 2001 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1998(a,1),46(a,1))]. 2002 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(285,a,1402,a,b,1937,a),flip(a)]. 2003 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2002(a,1),699(a,1,1)),flip(a)]. 2004 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [hyper(124,a,1938,a(flip),b,583,a)]. 2005 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(876,a,1994,a)]. 2006 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [hyper(124,a,2005,a(flip),b,1516,a)]. 2007 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1000(a,1),2005(a,1,2,1))]. 2008 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2007(a,1),1697(a,1,1))]. 2009 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(237,a,2008,a),flip(a)]. 2012 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(66,a,2006,a,b,2009,a)]. 2013 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2007(a,2),2012(a,1,2))]. 2014 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(285,a,686,a(flip),b,1919,a),flip(a)]. 2015 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(285,a,1903,a,b,1941,a),flip(a)]. 2016 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(66,a,625,a(flip),b,1987,a),flip(a)]. 2018 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(136,a,2016,a)]. 2020 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(285,a,699,a(flip),b,2003,a),flip(a)]. 2021 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(21(a,2),2020(a,2,1))]. 2022 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(21(a,2),2021(a,1,1))]. 2023 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1856(a,1),2015(a,1,2))]. 2024 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(138,a,2023,a),flip(a)]. 2026 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(979,a,1877,a(flip))]. 2027 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(2026(a,2),46(a,1))]. 2028 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(14(a,1),1757(a,1,1,1))]. 2029 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(224,a,2028,a,b,15,a)]. 2030 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(135,a,2028,a)]. 2033 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(285,a,413,a(flip),b,751,a),flip(a)]. 2034 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(903(a,1),2033(a,2,2))]. 2035 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(66,a,1303,a,b,2034,a)]. 2036 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2034(a,1),1302(a,1,1)),flip(a)]. 2037 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2034(a,1),2035(a,1,1,2))]. 2038 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(14(a,1),2037(a,1,1))]. 2040 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(815,a,879,a),flip(a)]. 2041 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [para(12(a,1),2040(a,1,2,1,2,2))]. 2042 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(17(a,1),2040(a,1,2,1,2,2)),flip(a)]. 2043 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(798(a,1),2040(a,2,1))]. 2044 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [hyper(800,a,2041,a)]. 2045 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(798(a,1),2041(a,2,1))]. 2046 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(112(a,1),2044(a,1,2))]. 2047 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(66,a,1178,a(flip),b,2045,a)]. 2048 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(66,a,1177,a(flip),b,2045,a),flip(a)]. 2049 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(224,a,2045,a(flip),b,1721,a(flip))]. 2052 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(285,a,1537,a(flip),b,2049,a)]. 2053 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1326(a,1),2048(a,1,1)),flip(a)]. 2054 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(15(a,1),2052(a,2,1,2,1))]. 2055 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(419(a,2),2052(a,2,1,2,1)),flip(a)]. 2056 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1000(a,1),2054(a,1,2,1))]. 2057 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1903(a,2),2056(a,2,1))]. 2058 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2057(a,1),2013(a,1,2))]. 2059 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2058(a,1),46(a,1))]. 2060 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(293,a,2042,a),flip(a)]. 2061 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2042(a,1),293(a,1))]. 2062 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(66,a,1179,a(flip),b,2060,a)]. 2063 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(66,a,1043,a(flip),b,2060,a),flip(a)]. 2064 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(224,a,2063,a,b,15,a)]. 2066 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(334(a,2),2062(a,2,1,2,1)),flip(a)]. 2067 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2045(a,1),2062(a,1,2)),flip(a)]. 2068 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1043(a,1),2061(a,1))]. 2070 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(293,a,2043,a),flip(a)]. 2071 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(66,a,1179,a(flip),b,2043,a)]. 2072 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(15(a,1),2071(a,1,2,2,1)),flip(a)]. 2073 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2072(a,2,2,2,1))]. 2074 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2045(a,1),2047(a,1,2)),flip(a)]. 2075 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1537(a,2),2074(a,1,1))]. 2076 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1326(a,1),2053(a,1,2)),flip(a)]. 2077 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(135,a,2076,a)]. 2078 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2077(a,1),813(a,1,1))]. 2079 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(66,a,487,a(flip),b,2078,a),flip(a)]. 2080 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2079(a,1),638(a,1,1))]. 2081 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(630,a,2080,a),flip(a)]. 2082 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(285,a,21,a,b,2081,a)]. 2083 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(21(a,2),2082(a,2,1,2)),flip(a)]. 2084 T(1 / x,K(y,x)) = 1 / x. [hyper(250,a,2083,a)]. 2085 K(x,y) * (1 / y) = (1 / y) * K(x,y). [hyper(136,a,2083,a)]. 2086 x / (1 / (1 / x)) = K(x,1 / x). [para(1315(a,1),2083(a,1,1))]. 2087 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [hyper(254,a,2084,a)]. 2088 K(1 / x,K(y,x)) = 1. [hyper(58,a,2084,a)]. 2089 K(x,K(y,x \ 1)) = 1. [para(87(a,1),2088(a,1,1))]. 2090 T(x,K(y,x \ 1)) = x. [hyper(59,a,2089,a)]. 2091 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2090(a,1),222(a,1,2,1)),flip(a)]. 2092 x / (1 / (1 / x)) = x * (1 / x). [hyper(285,a,245,a(flip),b,2086,a),flip(a)]. 2093 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(136,a,2086,a)]. 2094 L(x,1 / x,x) = 1 / (1 / x). [hyper(554,a,2092,a)]. 2095 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2094(a,1),30(a,2,1))]. 2096 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1902(a,1),2093(a,1,1))]. 2097 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(128,a,2096,a)]. 2098 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2096(a,1),103(a,1,1))]. 2099 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2087(a,1),784(a,1,1,1))]. 2100 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [hyper(124,a,2095,a(flip),b,936,a)]. 2101 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(66,a,1912,a(flip),b,2091,a),flip(a)]. 2102 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2091(a,1),46(a,1)),flip(a)]. 2103 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(308,a,2099,a)]. 2104 T(K(x,y),y \ 1) = K(x,y). [para(366(a,1),2103(a,1,2))]. 2105 T(x \ 1,K(y,x)) = x \ 1. [hyper(57,a,2104,a)]. 2106 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2105(a,1),1399(a,1,1)),flip(a)]. 2107 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1902(a,1),2100(a,1,1))]. 2108 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2001,a,2101,a)]. 2109 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2097(a,2),2107(a,1,2,1))]. 2110 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(285,a,1977,a(flip),b,2108,a),flip(a)]. 2111 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2109(a,1),925(a,1,1))]. 2112 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1951(a,1),2111(a,1,2))]. 2113 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1951(a,1),2112(a,2,1,2))]. 2114 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1874(a,1),2113(a,2,1))]. 2116 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(66,a,1245,a(flip),b,966,a)]. 2117 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [hyper(124,a,966,a(flip),b,358,a(flip))]. 2118 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(2117(a,1),46(a,1)),flip(a)]. 2119 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(66,a,846,a(flip),b,970,a),flip(a)]. 2120 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2119(a,1),818(a,1,2))]. 2121 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(684(a,1),1419(a,1,1)),flip(a)]. 2122 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(745(a,1),1780(a,1,1))]. 2123 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1027(a,1),2122(a,1,1))]. 2124 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1775(a,1),2123(a,1,2))]. 2125 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(66,a,30,a,b,2124,a)]. 2126 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1772(a,1),2125(a,1,1))]. 2127 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(66,a,1027,a,b,2126,a)]. 2128 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2126(a,1),1712(a,1,2))]. 2129 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(66,a,1781,a(flip),b,2127,a),flip(a)]. 2130 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(285,a,472,a(flip),b,1939,a),flip(a)]. 2131 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(66,a,938,a(flip),b,2130,a)]. 2132 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1873(a,1),2131(a,1,2,2,1,2))]. 2133 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(329(a,1),2132(a,1,2,2,1))]. 2134 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(222(a,1),2133(a,1,2)),flip(a)]. 2135 T(x,L(x \ 1,y,z) * x) = x. [hyper(225,a,2134,a)]. 2136 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(357(a,1),2135(a,1,2,1))]. 2137 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(90(a,1),2136(a,1,2,1))]. 2138 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2137(a,1),727(a,1,1))]. 2139 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2138(a,1),1169(a,1,1))]. 2140 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1602(a,1),2139(a,1,2))]. 2141 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(386,a,2140,a)]. 2142 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1625(a,1),2141(a,1,2,1)),flip(a)]. 2143 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(231(a,1),2142(a,2,2))]. 2144 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1625(a,1),2143(a,1,2))]. 2145 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(683(a,1),2116(a,1,2)),flip(a)]. 2146 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2104(a,1),1361(a,1,2,1,2))]. 2147 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(326(a,1),2146(a,1,2,1)),flip(a)]. 2148 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(57,a,2147,a)]. 2149 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(285,a,90,a(flip),b,2148,a),flip(a)]. 2150 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(90(a,1),2149(a,1,1))]. 2151 T(x,x * T(1 / x,y)) = x. [para(90(a,1),2150(a,1,2,1))]. 2152 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(57,a,2151,a)]. 2154 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,1529,a,b,2152,a)]. 2155 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(27(a,2),1412(a,1,1,2,2,1,2)),flip(a)]. 2156 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1651(a,1),1447(a,1,2,1))]. 2157 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1156(a,1),2156(a,1,2)),flip(a)]. 2158 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2157(a,1),1655(a,1,2))]. 2159 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(386,a,2158,a)]. 2160 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(66,a,32,a,b,2159,a)]. 2161 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(285,a,32,a,b,2160,a),flip(a)]. 2162 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2144(a,2),2161(a,1,1))]. 2163 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(84(a,1),1449(a,1,1)),flip(a)]. 2164 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(116(a,1),2163(a,1,1))]. 2166 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(14(a,1),2164(a,1,1,1)),flip(a)]. 2167 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2164(a,1),47(a,1))]. 2168 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(87(a,1),2164(a,1,2)),flip(a)]. 2169 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2166(a,2),47(a,1))]. 2170 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(87(a,1),2168(a,1,1,2)),flip(a)]. 2172 T(((x \ 1) \ y) * (x \ 1),x) = x \ T(y * x,x \ 1). [hyper(224,a,2170,a,b,15,a)]. 2174 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(915(a,1),2170(a,1,1)),flip(a)]. 2175 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(931(a,1),2174(a,1,1)),flip(a)]. 2176 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(118(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(630,a,2176,a),flip(a)]. 2178 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(14(a,1),2177(a,1,1,2)),flip(a)]. 2179 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [hyper(138,a,2178,a)]. 2180 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [hyper(124,a,182,a(flip),b,2178,a),flip(a)]. 2181 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(14(a,1),2179(a,1,2,1)),flip(a)]. 2182 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(97(a,1),2179(a,1,2,1)),flip(a)]. 2183 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2179(a,1),429(a,1,2))]. 2184 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [hyper(124,a,2181,a(flip),b,27,a(flip)),flip(a)]. 2185 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(285,a,242,a(flip),b,2184,a),flip(a)]. 2186 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(123,a,242,a(flip),b,2184,a)]. 2187 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(17(a,1),2186(a,1,1,1)),flip(a)]. 2188 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(247(a,1),2186(a,1,1,1))]. 2189 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(66,a,508,a(flip),b,2188,a),flip(a)]. 2190 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(2189(a,2),47(a,1))]. 2191 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1080(a,1),1724(a,1,2,1)),flip(a)]. 2192 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2191,a),flip(a)]. 2193 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2192(a,1),46(a,1))]. 2194 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),1742(a,1,2,1)),flip(a)]. 2195 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2194,a),flip(a)]. 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1764(a,1),1766(a,1,2)),flip(a)]. 2197 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(122,a,14,a(flip),b,2196,a)]. 2199 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1281(a,2),2197(a,1,1,2))]. 2200 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1281(a,2),2199(a,1,2))]. 2201 K(x,y) / (y \ 1) = y * K(x,y). [hyper(185,a,2200,a)]. 2202 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(138,a,2200,a)]. 2203 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2200(a,1),300(a,1,2))]. 2204 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2201(a,1),841(a,1,1)),flip(a)]. 2205 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2202(a,1),2121(a,1,1))]. 2206 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(285,a,244,a(flip),b,1767,a),flip(a)]. 2207 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1764(a,1),2206(a,1,1)),flip(a)]. 2208 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1266(a,2),2207(a,1,1)),flip(a)]. 2209 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1266(a,2),2208(a,1,1,2)),flip(a)]. 2210 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1887(a,1,2,2))]. 2211 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),1920(a,1,2,1,1))]. 2212 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2034(a,1),2036(a,1,2,1)),flip(a)]. 2213 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(17(a,1),2070(a,2,2,1,2,1))]. 2214 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(135,a,2213,a)]. 2215 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(12(a,1),2214(a,1,1,2,1,2,2)),flip(a)]. 2216 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2105(a,1),2106(a,2,2,1,1))]. 2217 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(285,a,883,a(flip),b,2216,a),flip(a)]. 2219 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(883(a,1),2217(a,1,1))]. 2220 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(57,a,2219,a)]. 2221 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2219(a,1),699(a,1,1)),flip(a)]. 2222 K(K(x,y),y \ T(y,z)) = 1. [hyper(58,a,2220,a)]. 2223 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1502(a,1),2222(a,1,2,2))]. 2224 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(27(a,2),2223(a,1,2))]. 2225 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(285,a,698,a,b,2221,a),flip(a)]. 2227 T(K(x,y),K(z,x)) = K(x,y). [para(21(a,2),2225(a,1,1))]. 2228 T(K(x,y),K(y,z)) = K(x,y). [hyper(57,a,2227,a)]. 2229 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(124,a,2227,a(flip),b,27,a(flip)),flip(a)]. 2230 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(2227(a,1),52(a,1)),flip(a)]. 2232 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2227(a,1),263(a,1,2))]. 2233 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2227(a,1),222(a,1,2,1)),flip(a)]. 2234 x \ y != K(z,u) * K(u,w) | x * (K(u,w) * K(z,u)) = y. [para(2227(a,1),533(a,2,2))]. 2235 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(2228(a,1),52(a,1)),flip(a)]. 2236 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2228(a,1),263(a,1,2))]. 2237 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2228(a,1),221(a,1,2,1)),flip(a)]. 2238 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2228(a,1),222(a,1,2,1)),flip(a)]. 2239 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2228(a,1),223(a,1,2,1)),flip(a)]. 2240 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2228(a,1),383(a,1,2,1))]. 2241 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2228(a,1),384(a,1,2,1))]. 2243 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1947(a,1),2110(a,1,1))]. 2244 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(949(a,1),2243(a,1,2))]. 2245 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(897(a,1),2211(a,2,2))]. 2246 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(285,a,1438,a(flip),b,2245,a),flip(a)]. 2247 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(688,a,2246,a),flip(a)]. 2248 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(124,a,2246,a(flip),b,845,a),flip(a)]. 2249 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(14(a,1),2246(a,1,2,1)),flip(a)]. 2251 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(118(a,1),2247(a,2,1))]. 2252 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2249(a,2),2000(a,1,2))]. 2253 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1985,a,2251,a)]. 2254 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(124,a,2251,a(flip),b,1984,a(flip))]. 2255 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(37,a,1912,a(flip),b,2254,a),flip(a)]. 2256 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(14(a,1),2254(a,1,2,1)),flip(a)]. 2257 R(x,y,K(x,x \ 1)) = x. [hyper(475,a,2256,a)]. 2258 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2257(a,1),32(a,2,1))]. 2259 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2257(a,1,3))]. 2260 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(66,a,1983,a(flip),b,2258,a),flip(a)]. 2262 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1906(a,1),2260(a,1,2,2))]. 2263 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2024(a,2),2260(a,1,2)),flip(a)]. 2265 (1 / x) * (y * K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2259(a,1),262(a,1,1))]. 2266 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2263(a,1),214(a,1,2,1))]. 2267 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(263,a,2252,a)]. 2268 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2252(a,1),263(a,1))]. 2269 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2267,a)]. 2270 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2269(a,1,3))]. 2271 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2270(a,1),30(a,2,1))]. 2272 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(436(a,1),2248(a,1,1,1)),flip(a)]. 2273 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(436(a,1),2272(a,1,1)),flip(a)]. 2274 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2273(a,2),1454(a,1,2))]. 2275 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(263,a,2274,a)]. 2276 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2275,a)]. 2277 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2276(a,1),30(a,2,1))]. 2278 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(66,a,1795,a(flip),b,2277,a)]. 2280 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(285,a,471,a(flip),b,678,a),flip(a)]. 2281 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1072,a,2280,a)]. 2282 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(116(a,1),2281(a,1,2)),flip(a)]. 2283 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(66,a,1598,a(flip),b,959,a)]. 2285 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2283(a,1),798(a,1,1)),flip(a)]. 2286 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | x * L(x \ 1,L(x,y,z),1 / x) = u. [para(2285(a,2),787(a,1))]. 2287 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1072,a,1272,a),flip(a)]. 2288 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(684(a,1),2287(a,2,2))]. 2289 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2288,a)]. 2290 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2289,a)]. 2291 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(85(a,1),2289(a,2,1,2))]. 2292 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(883(a,1),2289(a,1,1))]. 2293 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(16(a,1),2292(a,2,1,2))]. 2294 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(408(a,1),2292(a,2,1,2))]. 2295 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2029(a,2),2294(a,1,1))]. 2296 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1329(a,1),1294(a,2,1))]. 2297 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1357(a,1),2296(a,2,1,1))]. 2298 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(285,a,25,a,b,2297,a)]. 2299 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2298,a)]. 2300 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(85(a,1),2298(a,2,1,2))]. 2301 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1159(a,1),2298(a,2,1,2))]. 2302 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(263,a,2299,a),flip(a)]. 2303 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2300(a,1),112(a,1,1))]. 2304 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(2286,a,1542,a)]. 2305 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(827(a,1),1251(a,1,2)),flip(a)]. 2306 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(27(a,2),1467(a,1,1))]. 2307 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2263(a,1),2306(a,2,2))]. 2308 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),1495(a,1,2,1,1))]. 2309 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1486(a,1),1639(a,1,1))]. 2310 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2162(a,1),2309(a,1,1))]. 2311 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1625(a,1),2310(a,2,1))]. 2313 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2311(a,2),629(a,1))]. 2314 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),1840(a,1,1))]. 2315 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),2314(a,1,2,1,1))]. 2316 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(285,a,1606,a(flip),b,2308,a),flip(a)]. 2317 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1318(a,1),2316(a,2,1))]. 2318 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(285,a,473,a(flip),b,782,a),flip(a)]. 2319 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1194,a,2318,a)]. 2320 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1373(a,1),2319(a,2,1,1))]. 2321 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(32(a,2),1343(a,2,2,2))]. 2322 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(591(a,1),2321(a,2,2))]. 2323 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(335(a,1),2322(a,2,2))]. 2324 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1804(a,1),1823(a,1,2,2)),flip(a)]. 2325 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(122,a,1807,a(flip),b,2324,a(flip)),flip(a)]. 2326 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(901(a,1),1875(a,1,2)),flip(a)]. 2327 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1866(a,1),2326(a,1,2,1,2))]. 2328 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(326(a,1),2327(a,1,2,1)),flip(a)]. 2329 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),23(a,2,1)),flip(a)]. 2330 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),1078(a,1,1))]. 2331 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(883(a,1),2204(a,2,2))]. 2332 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2201(a,1),2331(a,1,2,1,2))]. 2333 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(27(a,2),2332(a,1,2,1))]. 2334 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1590(a,1),2293(a,1,1,2)),flip(a)]. 2335 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(79(a,1),2334(a,2,1))]. 2336 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(285,a,345,a(flip),b,2335,a),flip(a)]. 2339 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(124,a,2336,a(flip),b,97,a),flip(a)]. 2340 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(285,a,13,a(flip),b,2339,a),flip(a)]. 2341 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(947(a,1),1143(a,1,1)),flip(a)]. 2342 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(66,a,574,a(flip),b,2341,a),flip(a)]. 2343 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(285,a,1281,a,b,1282,a),flip(a)]. 2344 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(203(a,1),2343(a,1,2,1))]. 2346 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2344(a,1),630(a,1,1))]. 2347 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1638(a,1),1544(a,1,2,1))]. 2348 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(16(a,1),2347(a,1,2)),flip(a)]. 2350 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(319(a,1),1691(a,1,1,1,2))]. 2351 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(90(a,1),2350(a,1,2)),flip(a)]. 2353 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(209(a,1),2351(a,1,2)),flip(a)]. 2354 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(209(a,1),2353(a,1,1)),flip(a)]. 2355 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(123,a,249,a(flip),b,2354,a),flip(a)]. 2356 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(627,a,2355,a)]. 2357 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2356(a,1),48(a,1))]. 2358 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(790(a,1),1793(a,2,1))]. 2359 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(285,a,2305,a(flip),b,2358,a),flip(a)]. 2360 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1471(a,1),1794(a,2,2,1))]. 2361 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(16(a,1),2360(a,2,2))]. 2362 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(124,a,2361,a(flip),b,2359,a(flip))]. 2364 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(222(a,1),1797(a,1,2,1))]. 2365 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1029(a,1),2055(a,2,2,1))]. 2366 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1548(a,1),2365(a,1,1)),flip(a)]. 2367 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(66,a,1722,a(flip),b,2366,a)]. 2368 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1936,a,2367,a)]. 2369 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(285,a,1835,a,b,2368,a)]. 2370 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2368(a,2),52(a,1)),flip(a)]. 2371 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(37,a,1903,a(flip),b,2369,a),flip(a)]. 2373 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(249(a,1),2371(a,1,2))]. 2374 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1236(a,1),2373(a,1,1))]. 2375 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(66,a,1808,a(flip),b,2374,a),flip(a)]. 2376 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(180,a,2375,a),flip(a)]. 2377 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(117(a,1),2375(a,1,2,1))]. 2378 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(324(a,1),2375(a,1,2,1)),flip(a)]. 2379 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(66,a,615,a(flip),b,2376,a)]. 2380 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(90(a,1),2377(a,1,2,1,1))]. 2381 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(185,a,2378,a)]. 2382 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(124,a,2379,a(flip),b,27,a(flip))]. 2383 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(90(a,1),2379(a,1,1,1)),flip(a)]. 2384 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(118(a,1),2379(a,2,1,1))]. 2386 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(66,a,1874,a,b,2381,a)]. 2387 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(118(a,1),2381(a,1,2,2)),flip(a)]. 2388 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(687,a,2382,a)]. 2389 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(118(a,1),2382(a,1,2,1,1)),flip(a)]. 2391 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(285,a,1965,a,b,2388,a),flip(a)]. 2392 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2388,a),flip(a)]. 2393 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2388(a,1),1009(a,1,2))]. 2394 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2059,a,2391,a)]. 2395 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2370,a,2394,a),flip(a)]. 2396 K(K(x,x \ 1),y) = 1. [hyper(58,a,2394,a)]. 2397 T(x,K(y,y \ 1)) = x. [hyper(57,a,2394,a)]. 2398 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(124,a,2394,a(flip),b,27,a(flip)),flip(a)]. 2399 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(122,a,2394,a(flip),b,2057,a)]. 2401 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2394(a,1),263(a,1,2))]. 2402 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2394(a,1),219(a,1,1,2))]. 2404 K(K(x \ 1,x),y) = 1. [para(1906(a,1),2396(a,1,1))]. 2405 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2397(a,1),263(a,1,2))]. 2407 T(x,K(y \ 1,y)) = x. [para(1906(a,1),2397(a,1,2))]. 2408 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(59,a,2404,a)]. 2409 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2169,a,2407,a),flip(a)]. 2411 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2407(a,1),227(a,1,2))]. 2412 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2407(a,1),263(a,1,2))]. 2413 x \ y != K(z \ 1,z) * u | x * (u * K(z \ 1,z)) = y. [para(2407(a,1),533(a,2,2))]. 2414 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(66,a,1401,a,b,2408,a)]. 2415 T((x \ 1) * x,y) = K(x \ 1,x). [para(243(a,1),2408(a,1,1))]. 2416 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2408(a,1),263(a,1,2))]. 2418 x \ y != z * K(u \ 1,u) | x * (K(u \ 1,u) * z) = y. [para(2408(a,1),533(a,2,2))]. 2420 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(122,a,2398,a(flip),b,446,a)]. 2421 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2398(a,2),462(a,1,2))]. 2422 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1942,a,2409,a),flip(a)]. 2423 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(764,a,2409,a),flip(a)]. 2424 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(285,a,1076,a(flip),b,2409,a),flip(a)]. 2425 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(124,a,2409,a,b,14,a)]. 2426 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(122,a,481,a(flip),b,2409,a)]. 2427 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2409(a,1),103(a,1,1))]. 2428 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2409(a,2),462(a,1,2))]. 2429 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2409(a,2),327(a,1,1))]. 2430 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2409(a,1),2273(a,1,1))]. 2431 T(x,y * K(x \ 1,x)) = T(x,y). [para(2409(a,1),2278(a,1,2))]. 2432 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2408(a,2),2409(a,2,2)),flip(a)]. 2434 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2414(a,1),1115(a,1,1))]. 2435 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(254,a,2384,a)]. 2436 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [hyper(124,a,2387,a(flip),b,27,a(flip)),flip(a)]. 2437 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(612,a,2393,a)]. 2443 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(37,a,628,a(flip),b,2389,a(flip))]. 2445 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(113(a,2),2389(a,1,1,1,1))]. 2446 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1570(a,1),2424(a,2,2))]. 2447 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2424(a,1),2412(a,1))]. 2449 x * (K(y \ 1,y) * z) != x * u | z * K(y \ 1,y) = u. [para(2425(a,2),46(a,1))]. 2450 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(2425(a,2),647(a,1,2))]. 2451 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(14(a,1),2435(a,1,1,2,1,1))]. 2452 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2435(a,1),236(a,1,1)),flip(b)]. 2453 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(105(a,2),2436(a,2,2,2,2))]. 2454 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(14(a,1),2443(a,2,1,1))]. 2455 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2454,a),flip(a)]. 2457 T(x,y / (y * x)) = T(x,x \ 1). [hyper(66,a,1990,a(flip),b,2455,a)]. 2459 T(1 / (1 / x),y / (y * x)) = x. [hyper(1870,a,2457,a(flip))]. 2460 T(1 / (1 / x),(y / x) / y) = x. [para(17(a,1),2459(a,1,2,2))]. 2461 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2460(a,1),210(a,1,2,2))]. 2462 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1744(a,2),2461(a,1,2))]. 2465 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(768,a,2429,a)]. 2467 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2422(a,1),1460(a,1,1))]. 2468 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(66,a,1743,a(flip),b,2467,a)]. 2470 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(243(a,2),2468(a,1,1))]. 2471 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(66,a,2244,a(flip),b,2470,a),flip(a)]. 2472 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(285,a,1759,a(flip),b,2471,a),flip(a)]. 2473 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(38,a,2467,a,b,2472,a(flip))]. 2474 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(285,a,203,a(flip),b,2473,a)]. 2475 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(203(a,1),2474(a,2,2,2)),flip(a)]. 2476 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(285,a,13,a,b,2475,a),flip(a)]. 2477 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(128,a,2475,a)]. 2478 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2477(a,1),268(a,1,1))]. 2479 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(2118,a,2476,a(flip))]. 2480 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(122,a,2479,a(flip),b,2145,a(flip)),flip(a)]. 2482 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(285,a,117,a,b,2480,a),flip(a)]. 2483 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(123,a,2480,a(flip),b,2028,a),flip(a)]. 2484 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(15(a,1),2480(a,1,2,1))]. 2485 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(203(a,2),2480(a,1,2))]. 2486 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(96(a,1),2482(a,1,2,1))]. 2487 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(285,a,1876,a(flip),b,2483,a),flip(a)]. 2490 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(15(a,1),2487(a,1,2,1)),flip(a)]. 2491 K(x,y \ (y / x)) = K(x,x \ 1). [para(17(a,1),2487(a,1,2,1))]. 2492 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1033(a,2),2487(a,1,2,1))]. 2493 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2487(a,2),1951(a,1,1))]. 2494 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2487(a,2),2394(a,1,1))]. 2495 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(66,a,626,a,b,2491,a)]. 2497 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(90(a,1),2484(a,1,2))]. 2498 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2484(a,1),263(a,1,2))]. 2499 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2484(a,1),897(a,1,2)),flip(a)]. 2500 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2484(a,1),1264(a,1,2)),flip(a)]. 2501 T((x \ y) \ 1,x \ y) = T(x \ y,y \ x) \ 1. [para(2484(a,2),1899(a,2,1))]. 2502 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2494(a,1),2295(a,1,1))]. 2503 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(122,a,2490,a(flip),b,1903,a(flip))]. 2504 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(14(a,1),2490(a,2,2))]. 2505 T(x,K(y \ z,z \ y)) = x. [para(2490(a,1),2397(a,1,2))]. 2506 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2169,a,2505,a),flip(a)]. 2507 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(2497(a,1),1417(a,1,1,2))]. 2508 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(21(a,2),2486(a,1,2)),flip(a)]. 2509 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(632,a,2508,a),flip(a)]. 2510 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(66,a,2228,a(flip),b,2509,a),flip(a)]. 2515 1 / (1 / K(x,y)) = K(x,y). [para(2510(a,1),181(a,1,2,2))]. 2516 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2502(a,2),401(a,1,1)),flip(a)]. 2518 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(746(a,1),2492(a,1,2))]. 2519 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2490,a(flip),b,2518,a),flip(a)]. 2520 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(355(a,1),2478(a,2,1))]. 2521 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(66,a,2504,a(flip),b,2516,a)]. 2522 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),2507(a,2,2,2,1,2))]. 2524 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(325(a,1),2522(a,2,2))]. 2525 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2426(a,1),2465(a,1,1,2))]. 2526 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(66,a,2436,a(flip),b,2453,a),flip(a)]. 2527 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(285,a,411,a(flip),b,1613,a),flip(a)]. 2528 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(223(a,1),2527(a,2,2))]. 2529 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2262(a,1),2004(a,1,2,2,2)),flip(a)]. 2530 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2397(a,1),2420(a,1,2,1,1))]. 2531 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(16(a,1),1415(a,1,1))]. 2532 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(16(a,1),2531(a,1,2,1,1)),flip(a)]. 2533 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(14(a,1),2532(a,2,2,1))]. 2534 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(17(a,1),2533(a,1,1,1))]. 2535 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1801(a,2,1))]. 2536 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(285,a,1158,a(flip),b,2535,a),flip(a)]. 2538 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),2536(a,1,1))]. 2539 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(57,a,2538,a)]. 2540 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1732(a,1),2266(a,1,2))]. 2541 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(721,a,2540,a),flip(a)]. 2542 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(66,a,2307,a(flip),b,2541,a)]. 2543 K(x,y / (x * y)) = K(x,x \ 1). [hyper(66,a,1966,a(flip),b,2542,a),flip(a)]. 2545 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(17(a,1),2543(a,1,2,2)),flip(a)]. 2546 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(16(a,1),2545(a,2,2))]. 2547 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1196(a,1,2,1,1))]. 2548 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1194,a,2547,a),flip(a)]. 2549 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(820(a,1),2548(a,2,2))]. 2550 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(445,a,2549,a),flip(a)]. 2551 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(66,a,1250,a(flip),b,2550,a),flip(a)]. 2552 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1601(a,1),2551(a,1,1,2)),flip(a)]. 2553 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(285,a,2291,a(flip),b,2552,a),flip(a)]. 2554 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(38,a,243,a(flip),b,2553,a),flip(a)]. 2555 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(90(a,1),2554(a,1,1))]. 2556 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(949(a,1),2555(a,1,2))]. 2557 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(136,a,2556,a)]. 2558 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(38,a,2340,a,b,2557,a)]. 2560 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1506(a,1),2558(a,1,1)),flip(a)]. 2561 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(285,a,2062,a(flip),b,2066,a),flip(a)]. 2562 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(886(a,1),1689(a,1,1,1))]. 2563 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(243(a,2),2562(a,1,2,2))]. 2564 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1927(a,1),2301(a,1,1,2,1))]. 2565 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1652(a,1),2564(a,1,1,2)),flip(a)]. 2567 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(25(a,2),1515(a,2,2,1,1))]. 2568 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1532(a,1),2567(a,1,1))]. 2569 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1610(a,1),2568(a,1,1,1))]. 2570 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(479,a,2569,a),flip(a)]. 2572 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(66,a,1160,a(flip),b,2570,a),flip(a)]. 2573 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1654(a,1),2572(a,1,1,2)),flip(a)]. 2574 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(38,a,2302,a(flip),b,2573,a),flip(a)]. 2576 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1517(a,1,2,1,2,1))]. 2577 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(66,a,1178,a(flip),b,2576,a),flip(a)]. 2578 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1177(a,1),2577(a,2,2))]. 2579 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2578,a),flip(a)]. 2580 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(15(a,1),2579(a,1,2,1)),flip(a)]. 2581 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,1903,a,b,2580,a),flip(a)]. 2582 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1542(a,1),2581(a,1,1))]. 2583 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(23(a,2),1534(a,2,2,1,1))]. 2584 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(937(a,1),2583(a,1,2))]. 2585 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(823(a,1),2584(a,1,2,2))]. 2586 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2585,a),flip(a)]. 2588 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(958(a,1),2586(a,1,2))]. 2589 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1880(a,1),2586(a,2,1,2))]. 2591 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(13(a,1),2588(a,1,2,2)),flip(a)]. 2592 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2304(a,1),2591(a,1,1)),flip(a)]. 2593 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,2582,a(flip),b,2592,a),flip(a)]. 2594 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(37,a,1903,a(flip),b,2593,a),flip(a)]. 2595 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(66,a,2560,a,b,2594,a)]. 2596 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(185,a,2595,a),flip(a)]. 2597 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(87(a,1),2595(a,1,1,1,2)),flip(a)]. 2598 L(1 / (1 / x),y,z) \ ((1 / x) \ 1) = x * (1 / L(x,y,z)). [para(2595(a,1),1818(a,2,2))]. 2599 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(87(a,1),2596(a,1,1,2)),flip(a)]. 2600 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(451(a,1),2596(a,2,2,2))]. 2601 L(1 / (1 / ((x \ 1) \ y)),x \ 1,x) = 1 / (1 / (x * y)). [para(452(a,1),2596(a,2,2,2))]. 2602 L(1 / (1 / x),y / x,1 / y) = 1 / ((1 / y) * (y / x)). [para(707(a,1),2596(a,2,2))]. 2603 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2596(a,2),2526(a,1,2))]. 2604 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(180,a,2597,a)]. 2605 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(203(a,1),2599(a,1,2,2)),flip(a)]. 2606 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(357(a,1),2599(a,1,2,2)),flip(a)]. 2607 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(361(a,1),2599(a,1,2,2)),flip(a)]. 2608 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2599(a,1),1878(a,2,2))]. 2609 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(87(a,1),2605(a,1,1))]. 2610 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(87(a,1),2604(a,1,1,1,1)),flip(a)]. 2611 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(451(a,1),2610(a,2,1,1))]. 2612 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(453(a,1),2610(a,2,1,1))]. 2613 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(1899(a,2),2610(a,1,1))]. 2614 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,2362,a,b,2606,a)]. 2615 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,1603,a,b,2606,a)]. 2616 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(124,a,2607,a(flip),b,1917,a),flip(a)]. 2617 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2615(a,1),1911(a,1,2)),flip(a)]. 2618 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(37,a,1874,a,b,2614,a)]. 2619 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(285,a,625,a(flip),b,2618,a),flip(a)]. 2620 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(122,a,2618,a(flip),b,243,a(flip))]. 2621 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(78(a,1),2618(a,2,1))]. 2622 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2618(a,1),2500(a,1,2))]. 2623 T(x \ 1,y * K(x,x \ 1)) = T(x \ 1,y). [para(2621(a,1),2431(a,1,2,2))]. 2627 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2490(a,1),2617(a,1,2))]. 2628 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(66,a,2506,a,b,2627,a)]. 2629 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(66,a,2502,a,b,2619,a)]. 2630 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(285,a,2487,a(flip),b,2629,a),flip(a)]. 2631 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2629(a,1),2521(a,2,1)),flip(a)]. 2633 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1947(a,1),2630(a,1,1))]. 2634 K((x * y) \ x,y) = K(y \ 1,y). [hyper(66,a,2493,a(flip),b,2631,a),flip(a)]. 2636 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(116(a,1),2634(a,1,1,1)),flip(a)]. 2637 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(27(a,1),2636(a,2,2)),flip(a)]. 2638 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(744(a,1),2636(a,2,1,1))]. 2639 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(285,a,1947,a(flip),b,2633,a),flip(a)]. 2640 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2639(a,1),1106(a,1,2)),flip(a)]. 2641 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(123,a,16,a(flip),b,2640,a),flip(a)]. 2643 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(136,a,2641,a)]. 2644 ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). [para(2423(a,1),2641(a,1,1))]. 2645 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(66,a,1231,a,b,2643,a)]. 2646 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(16(a,1),2643(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(136,a,2645,a)]. 2648 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(66,a,153,a(flip),b,2645,a),flip(a)]. 2649 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2416,a,2646,a)]. 2650 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1105,a,2646,a)]. 2651 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2650(a,1,3))]. 2652 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(66,a,1930,a(flip),b,2651,a)]. 2653 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2651(a,1),1929(a,1,1)),flip(a)]. 2654 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2416,a,2648,a)]. 2656 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(285,a,886,a(flip),b,2649,a),flip(a)]. 2658 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(66,a,1982,a(flip),b,2652,a)]. 2659 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2401,a,2653,a)]. 2660 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(66,a,2616,a(flip),b,2658,a)]. 2661 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(122,a,2658,a(flip),b,2616,a(flip)),flip(a)]. 2662 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2656(a,1),2330(a,1,2)),flip(a)]. 2663 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(87(a,1),2660(a,1,2,2,2,2)),flip(a)]. 2664 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(180,a,2661,a)]. 2665 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(87(a,1),2661(a,2,2,2,2))]. 2666 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(14(a,1),2663(a,2,2,2,2))]. 2667 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(181(a,1),2664(a,1,1,2,2)),flip(a)]. 2668 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2609(a,2),2666(a,1,2))]. 2669 x / L(y,y \ 1,x) = x * (1 / y). [para(87(a,1),2668(a,2,2,2))]. 2671 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(554,a,2669,a)]. 2672 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2669(a,2),625(a,1,1,2))]. 2673 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(87(a,1),2671(a,1,2)),flip(a)]. 2674 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(117(a,2),2673(a,1,2))]. 2675 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2674(a,1),2613(a,2,1,1))]. 2676 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(66,a,2292,a,b,2672,a)]. 2677 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(66,a,2289,a,b,2672,a)]. 2678 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(66,a,106,a,b,2677,a)]. 2679 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(90(a,1),2677(a,1,2))]. 2680 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(180,a,2667,a)]. 2682 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(66,a,2497,a,b,2680,a)]. 2683 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(124,a,2497,a,b,2680,a(flip))]. 2684 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [hyper(124,a,2682,a(flip),b,27,a(flip))]. 2685 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2447,a,2683,a)]. 2686 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(66,a,2424,a,b,2683,a)]. 2687 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(16(a,1),2685(a,1,1)),flip(a)]. 2688 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2685(a,1),1458(a,1,1))]. 2689 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(136,a,2687,a)]. 2690 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2376(a,2),2687(a,1,2))]. 2691 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(16(a,1),2688(a,1,1)),flip(a)]. 2692 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(117(a,2),2688(a,1,1,2))]. 2693 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(611(a,1),2688(a,1,1)),flip(a)]. 2694 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(924(a,1),2688(a,1,1)),flip(a)]. 2695 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2689(a,1),47(a,1)),flip(a)]. 2697 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2409(a,2),2689(a,1,1))]. 2698 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2646(a,1),2689(a,1,1))]. 2699 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(38,a,481,a,b,2691,a),flip(a)]. 2700 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2691(a,1),2647(a,1,1)),flip(a)]. 2701 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(135,a,2692,a)]. 2702 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2416,a,2693,a)]. 2703 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2342(a,1),2693(a,1,1))]. 2704 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2697(a,1),47(a,1)),flip(a)]. 2706 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(482,a,2699,a)]. 2707 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2699(a,1),202(a,1,2)),flip(a)]. 2708 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1959(a,2),2699(a,1,2))]. 2709 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(66,a,2699,a(flip),b,2698,a),flip(a)]. 2710 R(x,y \ 1,y) / y = x * (1 / y). [hyper(123,a,2699,a(flip),b,2698,a(flip))]. 2712 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2709,a)]. 2713 R(x / (1 / y),y \ 1,y) = x * y. [hyper(293,a,2709,a),flip(a)]. 2714 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2709(a,1),206(a,1,2))]. 2716 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2085(a,1),2709(a,1,1))]. 2717 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2647(a,1),2709(a,1,1)),flip(a)]. 2718 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(285,a,2706,a,b,2712,a)]. 2719 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(66,a,572,a(flip),b,2712,a),flip(a)]. 2720 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(87(a,1),2712(a,1,2)),flip(a)]. 2721 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2713(a,1),1662(a,1,1,2))]. 2722 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2714(a,1),2525(a,1,1))]. 2723 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1899(a,2),2718(a,1,3))]. 2724 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1974(a,1),2700(a,1,1))]. 2725 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(285,a,2714,a(flip),b,2707,a),flip(a)]. 2726 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(87(a,1),2676(a,2,1)),flip(a)]. 2728 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(886(a,2),2726(a,2,1))]. 2729 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2726(a,2),1084(a,2,2))]. 2730 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1431(a,1),2717(a,2,1))]. 2731 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2637(a,1),2622(a,1,2)),flip(a)]. 2732 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(122,a,2600,a(flip),b,244,a)]. 2733 (x \ 1) * (1 / (1 / ((x \ 1) \ y))) = x \ (1 / (1 / (x * y))). [hyper(122,a,2601,a(flip),b,242,a),flip(a)]. 2734 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(122,a,2611,a(flip),b,244,a)]. 2735 L(x / (y \ 1),y \ 1,y) = L(x,y,y \ 1) / (1 / y). [hyper(66,a,791,a(flip),b,2644,a)]. 2736 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(901(a,1),2679(a,1,1))]. 2737 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(66,a,792,a(flip),b,2736,a),flip(a)]. 2738 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(136,a,2737,a(flip))]. 2739 T(K(1 / (1 / x),y),x) = K(x,y). [para(2737(a,2),208(a,1,1))]. 2740 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(249(a,1),2739(a,1,1,1,2))]. 2741 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2739(a,1),919(a,2,2))]. 2742 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(66,a,1694,a,b,2738,a)]. 2743 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(87(a,1),2740(a,1,1,1))]. 2745 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(66,a,2022,a(flip),b,2743,a),flip(a)]. 2746 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(117(a,1),2745(a,1,1)),flip(a)]. 2747 x * K((x \ 1) \ 1,y) = K(x,y) * x. [hyper(124,a,2746,a(flip),b,27,a(flip))]. 2748 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(90(a,1),2747(a,1,2,1,1)),flip(a)]. 2749 L(1 / (1 / x),y / x,1 / y) \ ((1 / x) \ 1) = x * ((1 / y) * (y / x)). [para(707(a,1),2598(a,2,2))]. 2750 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2675(a,1),1933(a,1,2))]. 2751 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2750(a,1),1404(a,2,1,2))]. 2752 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(87(a,1),2723(a,2,2))]. 2754 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(117(a,2),2752(a,1,2))]. 2755 x * K(x \ (y \ 1),(y \ 1) \ x) = y \ (1 / (1 / (y * x))). [hyper(66,a,2627,a,b,2733,a)]. 2756 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(285,a,2622,a,b,2734,a),flip(a)]. 2757 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2742(a,1),2741(a,1,1,2))]. 2758 (1 / x) \ K(x,y) = K(x,y) * x. [para(14(a,1),2757(a,1,1)),flip(a)]. 2761 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2484(a,2),2612(a,1,1))]. 2762 K(x,y) / (x \ 1) = x * K(x,y). [para(2728(a,2),2729(a,1,1))]. 2763 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(136,a,2762,a)]. 2764 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(285,a,625,a(flip),b,2751,a),flip(a)]. 2766 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(117(a,1),2764(a,2,1))]. 2767 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(203(a,1),2766(a,1,2,1))]. 2769 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2767(a,1),2346(a,1))]. 2770 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2713(a,1),2721(a,1,2,2))]. 2771 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(66,a,695,a(flip),b,2761,a)]. 2772 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(66,a,566,a(flip),b,2761,a)]. 2773 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(78(a,1),2772(a,2,1,1))]. 2774 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(19(a,2),2771(a,1,1))]. 2775 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(285,a,1848,a(flip),b,2724,a),flip(a)]. 2777 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(123,a,87,a(flip),b,2775,a),flip(a)]. 2778 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(87(a,1),2777(a,1,2)),flip(a)]. 2780 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2778(a,1),1466(a,1,2,1,2))]. 2781 (1 / ((1 / x) * (x / y))) \ ((1 / y) \ 1) = y * ((1 / x) * (x / y)). [para(2602(a,1),2749(a,1,1))]. 2782 (1 / ((1 / x) * (x / y))) \ y = y * ((1 / x) * (x / y)). [para(90(a,1),2781(a,1,2))]. 2783 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(265,a,2603,a),flip(a)]. 2784 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(15(a,1),2783(a,1,2,2,2,2))]. 2786 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2662(a,2),888(a,1))]. 2787 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(23(a,2),2774(a,1,2,2))]. 2788 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(19(a,2),2787(a,2,1,1))]. 2789 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1036(a,1),2638(a,2,1))]. 2790 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2519,a(flip),b,2789,a),flip(a)]. 2791 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(14(a,1),2780(a,1,2,1)),flip(a)]. 2792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(25(a,2),1605(a,2,2,1,1))]. 2793 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1550(a,1),2792(a,1,1))]. 2794 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1586(a,1),2793(a,1,1,1))]. 2795 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(479,a,2794,a),flip(a)]. 2796 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(693(a,1),2795(a,2,1,2))]. 2797 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1627(a,1),2795(a,1,2))]. 2798 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1162(a,1),2796(a,1,2))]. 2799 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(186(a,1),2798(a,2,1,2))]. 2800 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1903(a,2),2799(a,2,1))]. 2801 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(13(a,1),2797(a,1,2,2)),flip(a)]. 2802 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(112(a,1),2046(a,1,1,1,2,2)),flip(a)]. 2803 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(285,a,798,a(flip),b,2802,a),flip(a)]. 2804 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(285,a,2043,a(flip),b,2803,a),flip(a)]. 2805 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(798(a,1),2804(a,1,1))]. 2806 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2045(a,1),2805(a,2,1))]. 2807 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(38,a,112,a,b,2806,a),flip(a)]. 2808 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1538,a,2807,a),flip(a)]. 2809 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(15(a,1),2807(a,1,2,1)),flip(a)]. 2810 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,1903,a,b,2809,a),flip(a)]. 2811 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1150(a,1),2810(a,1,1,2,1))]. 2812 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2791(a,1),1165(a,1,1,2))]. 2813 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(17(a,1),2812(a,1,1,2))]. 2815 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1157(a,1),2813(a,1,1)),flip(a)]. 2817 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(883(a,1),2205(a,2,1,2))]. 2818 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(901(a,1),1394(a,2,1))]. 2819 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(14(a,1),2818(a,1,2,1)),flip(a)]. 2820 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(285,a,826,a(flip),b,2819,a),flip(a)]. 2821 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2030(a,1),2820(a,1,1))]. 2822 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2487(a,1),2821(a,1,1))]. 2823 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2822,a(flip),b,2398,a(flip))]. 2825 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(66,a,2608,a,b,2823,a)]. 2827 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2825(a,1),1284(a,1,2)),flip(a)]. 2828 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2485(a,1),2827(a,1,2)),flip(a)]. 2830 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2401,a,2828,a)]. 2831 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(293,a,2828,a),flip(a)]. 2832 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(66,a,1979,a,b,2828,a)]. 2833 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(116(a,1),2828(a,1,1))]. 2835 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(285,a,280,a,b,2830,a),flip(a)]. 2836 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [para(17(a,1),2830(a,1,2)),flip(a)]. 2837 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(123,a,338,a(flip),b,2832,a),flip(a)]. 2838 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(38,a,2698,a(flip),b,2832,a),flip(a)]. 2839 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(38,a,2697,a(flip),b,2832,a),flip(a)]. 2840 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(38,a,2689,a(flip),b,2832,a),flip(a)]. 2841 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2704,a,2832,a(flip))]. 2842 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2695,a,2832,a(flip))]. 2844 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1888(a,2),2832(a,2,2))]. 2845 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2401,a,2839,a)]. 2846 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(38,a,2653,a,b,2839,a),flip(a)]. 2847 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(38,a,2398,a(flip),b,2839,a),flip(a)]. 2848 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(38,a,2024,a(flip),b,2839,a),flip(a)]. 2849 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2654(a,1),2839(a,1,1))]. 2850 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2401,a,2840,a)]. 2851 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(293,a,2840,a),flip(a)]. 2852 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(287,a,2840,a)]. 2853 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(38,a,2653,a,b,2840,a),flip(a)]. 2854 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(38,a,2398,a(flip),b,2840,a),flip(a)]. 2855 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2841(a,1),46(a,1)),flip(a)]. 2856 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2841(a,1),105(a,2,1))]. 2857 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(303,a,2845,a),flip(a)]. 2858 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2845(a,1),46(a,1)),flip(a)]. 2859 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2845(a,1),2449(a,1)),flip(a)]. 2860 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2649(a,1),2845(a,1,2))]. 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2654(a,1),2845(a,1,2))]. 2862 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2847(a,1),46(a,1)),flip(a)]. 2863 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2847(a,1),2411(a,1)),flip(a)]. 2864 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(66,a,2640,a,b,2851,a)]. 2865 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2854(a,1),113(a,2,1))]. 2866 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2854(a,1),2647(a,1,1)),flip(a)]. 2867 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2857(a,1),2317(a,1,2,1))]. 2868 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2268,a,2835,a)]. 2869 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(285,a,1960,a(flip),b,2835,a),flip(a)]. 2870 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2835(a,2),1961(a,1))]. 2871 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2836(a,1),2703(a,1,1,1))]. 2872 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2838(a,1),469(a,1,1))]. 2873 K(x / (y * x),y) = K(y \ 1,y). [hyper(38,a,2018,a,b,2848,a)]. 2874 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(66,a,2546,a,b,2873,a)]. 2875 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(17(a,1),2873(a,1,1,2)),flip(a)]. 2877 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(16(a,1),2875(a,2,1))]. 2878 L(x,K(x,x \ 1),y) = x. [hyper(445,a,2844,a)]. 2879 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2878(a,1,2))]. 2880 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2879(a,1),2529(a,1,1)),flip(a)]. 2883 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2874(a,1),1888(a,1,1))]. 2884 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(285,a,2543,a(flip),b,2877,a),flip(a)]. 2886 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2884(a,1),1958(a,1,1))]. 2887 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2405,a,2886,a)]. 2888 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2886,a),flip(a)]. 2889 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(123,a,2886,a(flip),b,1999,a(flip))]. 2890 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(242(a,1),2886(a,1,2))]. 2892 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2887,a),flip(a)]. 2893 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(303,a,2888,a),flip(a)]. 2894 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(66,a,2857,a,b,2888,a)]. 2895 K(x * y,(x * y) \ 1) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(96(a,1),2888(a,1,2))]. 2896 R(x,K(x,x \ 1),y) = x. [hyper(1969,a,2889,a)]. 2897 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [para(2889(a,1),269(a,1,1)),flip(a)]. 2899 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2896(a,1,2))]. 2900 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2899(a,1),2299(a,1,1)),flip(a)]. 2901 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(66,a,2256,a(flip),b,2892,a)]. 2903 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(2892(a,1),2623(a,1,2))]. 2905 ((x \ 1) \ 1) * (x \ y) = (y / x) * ((x \ 1) \ 1). [hyper(285,a,2836,a,b,2893,a),flip(a)]. 2906 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(122,a,2845,a(flip),b,2893,a),flip(a)]. 2907 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1995,a(flip),b,2893,a),flip(a)]. 2908 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2858,a,2897,a)]. 2909 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(117(a,1),2897(a,1,2,1))]. 2910 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(90(a,1),2901(a,2,1,1))]. 2911 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2839(a,1),2901(a,1,2)),flip(a)]. 2912 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [para(2838(a,1),2901(a,1,2)),flip(a)]. 2913 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(117(a,2),2906(a,2,1))]. 2914 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2621(a,1),2906(a,1,2,1))]. 2915 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(117(a,1),2908(a,2,1))]. 2916 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2908(a,1),2278(a,1,2))]. 2917 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(324(a,1),2916(a,1,2,1)),flip(a)]. 2918 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(122,a,90,a(flip),b,2909,a)]. 2919 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(642,a,2911,a)]. 2920 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(128,a,2911,a)]. 2921 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(122,a,2911,a(flip),b,2425,a(flip))]. 2922 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2686(a,1),2911(a,1,2))]. 2923 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(124,a,993,a(flip),b,2913,a)]. 2924 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2913(a,1),1790(a,1,2,2))]. 2925 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2409(a,1),2913(a,1,2))]. 2926 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(122,a,2915,a(flip),b,1140,a(flip)),flip(a)]. 2927 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2915(a,1),2697(a,1,1))]. 2929 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [hyper(124,a,2500,a(flip),b,2921,a)]. 2930 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(90(a,1),2926(a,2,2,1,1))]. 2932 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(87(a,1),2922(a,2,2))]. 2933 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(66,a,2848,a(flip),b,2883,a)]. 2934 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(205(a,2),2933(a,2,1,1)),flip(a)]. 2935 ((((x * y) / (R(z,x,y) * (x * y))) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2933(a,1),485(a,1,1))]. 2938 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1947(a,1),2910(a,1,2,2))]. 2939 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2265,a,2938,a)]. 2940 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(285,a,2407,a,b,2938,a)]. 2941 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(122,a,15,a(flip),b,2938,a),flip(a)]. 2942 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(66,a,2425,a,b,2938,a)]. 2944 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2648(a,1),2938(a,1,2))]. 2945 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2842(a,1),2938(a,1,2)),flip(a)]. 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2854(a,1),2938(a,1,2)),flip(a)]. 2947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2939,a)]. 2948 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2416,a,2939,a)]. 2949 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(513,a,2939,a),flip(a)]. 2950 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(38,a,2842,a,b,2939,a)]. 2951 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(38,a,2423,a,b,2939,a),flip(a)]. 2953 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(123,a,2939,a(flip),b,2409,a)]. 2954 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2939(a,1),2431(a,1,2)),flip(a)]. 2955 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2939(a,1),2411(a,2)),flip(b)]. 2956 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2939(a,1),2689(a,1,1))]. 2957 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2951,a)]. 2958 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(303,a,2951,a),flip(a)]. 2959 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(135,a,2951,a)]. 2960 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(128,a,2951,a)]. 2961 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(66,a,1082,a(flip),b,2951,a),flip(a)]. 2962 L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y. [para(17(a,1),2951(a,1,2)),flip(a)]. 2963 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(116(a,1),2951(a,1,2)),flip(a)]. 2964 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(242(a,1),2951(a,1,2)),flip(a)]. 2965 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(2951(a,1),204(a,1,1))]. 2966 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2951(a,1),273(a,1,1))]. 2967 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(1000(a,1),2951(a,1,2)),flip(a)]. 2968 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1246(a,1),2951(a,1,2)),flip(a)]. 2969 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(87(a,1),2957(a,1,3)),flip(a)]. 2970 L(x,1 / y,K(y \ 1,y)) = x. [hyper(2027,a,2958,a),flip(a)]. 2971 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2958(a,1),585(a,1,2))]. 2972 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2958(a,1),1830(a,2,1,2))]. 2973 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2970(a,1,3))]. 2974 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2973(a,1),2098(a,1,2)),flip(a)]. 2975 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2941,a)]. 2976 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(2416,a,2941,a)]. 2977 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(38,a,2842,a,b,2941,a)]. 2979 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2941(a,1),2647(a,1,1))]. 2980 K(x \ 1,x) * K(y \ (x \ 1),y) = (1 / x) \ ((y \ (x \ 1)) * y). [hyper(122,a,271,a(flip),b,2942,a),flip(a)]. 2982 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(285,a,1505,a(flip),b,2946,a),flip(a)]. 2983 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(552,a,2947,a)]. 2984 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(303,a,2947,a),flip(a)]. 2987 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2947(a,1),304(a,1,2)),flip(b)]. 2988 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2947(a,1),178(a,1,1,2))]. 2989 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2947(a,1),447(a,1,2,2))]. 2990 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(552,a,2948,a)]. 2991 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(303,a,2948,a),flip(a)]. 2992 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2948(a,1),25(a,2,2)),flip(a)]. 2993 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2948(a,1),501(a,1,1))]. 2994 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2948(a,1),442(a,1,1))]. 2995 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2948(a,1),2919(a,1,2))]. 2996 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1364(a,1),2953(a,1,2))]. 2997 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2859,a,2974,a)]. 2998 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2858,a,2974,a)]. 2999 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),2974(a,1,2))]. 3000 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2974(a,1),2866(a,1,1)),flip(a)]. 3001 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(122,a,2975,a(flip),b,2893,a)]. 3002 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1130(a,1),2975(a,1,2))]. 3003 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2381(a,1),2976(a,2,1))]. 3004 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(285,a,2325,a(flip),b,2983,a),flip(a)]. 3005 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [hyper(124,a,1181,a(flip),b,2990,a),flip(a)]. 3006 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2990(a,1),1418(a,1,2,2,1,2))]. 3007 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2618(a,1),2997(a,1,2))]. 3008 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(303,a,2998,a),flip(a)]. 3009 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(66,a,1453,a(flip),b,2998,a)]. 3010 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(123,a,2998,a(flip),b,1453,a(flip))]. 3012 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(285,a,2846,a(flip),b,3008,a),flip(a)]. 3013 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(122,a,15,a(flip),b,3009,a),flip(a)]. 3014 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(66,a,2425,a(flip),b,3009,a)]. 3015 R(x,K(x \ 1,x),y) = x. [hyper(1885,a,3010,a)]. 3017 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3015(a,1),471(a,1,1,1)),flip(a)]. 3018 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3013(a,1),2697(a,1,1)),flip(a)]. 3019 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2758(a,1),3013(a,1,2))]. 3020 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [hyper(285,a,2997,a,b,3014,a)]. 3021 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(285,a,2407,a,b,2944,a)]. 3022 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2203,a,2956,a),flip(a)]. 3023 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3000(a,1,1)),flip(a)]. 3024 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2379(a,2),3001(a,1,1))]. 3025 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(17(a,1),3012(a,1,2,2))]. 3026 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(27(a,2),3012(a,1,2))]. 3027 T(x,1 / (1 / y)) = T(x,y). [hyper(376,a,3026,a),flip(a)]. 3028 T(x,1 / y) = T(x,y \ 1). [para(87(a,1),3027(a,1,2,2))]. 3029 T(x,(y \ 1) \ 1) = T(x,y). [para(181(a,1),3027(a,1,2)),flip(a)]. 3031 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(66,a,725,a(flip),b,3028,a),flip(a)]. 3032 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(124,a,3028,a(flip),b,27,a(flip))]. 3033 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3028(a,1),923(a,2,1))]. 3034 T(x,T(y,y \ 1)) = T(x,y). [para(117(a,2),3029(a,1,2))]. 3035 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1899(a,2),3029(a,1,2))]. 3036 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2379(a,2),3029(a,1,2))]. 3037 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2383(a,1),3029(a,1,2)),flip(a)]. 3038 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2484(a,2),3029(a,1,2))]. 3041 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2934(a,1),3029(a,1,2)),flip(a)]. 3044 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(124,a,3034,a(flip),b,27,a(flip))]. 3045 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3034(a,1),614(a,1,2))]. 3046 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(78(a,2),3032(a,2,2))]. 3048 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3044(a,1),2565(a,2,1))]. 3049 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3045(a,2),543(a,2,1))]. 3050 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2984(a,1),3031(a,1,1,1))]. 3051 R(x,y,K(x \ 1,x)) = x. [hyper(475,a,3020,a)]. 3052 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1904(a,1),3051(a,1,3))]. 3053 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(3052(a,1),36(a,1,1)),flip(a)]. 3054 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(87(a,1),3033(a,1,1,2)),flip(a)]. 3055 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2874(a,1),2918(a,1,1))]. 3057 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2964(a,2),1827(a,1,1))]. 3058 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2933(a,2),3055(a,2,1)),flip(a)]. 3059 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(285,a,2894,a(flip),b,3058,a),flip(a)]. 3060 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(555,a,3059,a)]. 3061 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(285,a,281,a,b,3059,a),flip(a)]. 3062 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(185,a,3059,a),flip(a)]. 3063 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(90(a,1),3059(a,1,1,1))]. 3064 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(185,a,3061,a)]. 3065 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3062(a,2),118(a,1,1))]. 3066 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3060(a,2),3041(a,2,2)),flip(a)]. 3067 R(x,1 / x,y) \ y = (x \ 1) * y. [para(90(a,1),3063(a,2,1,1))]. 3068 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(555,a,3067,a),flip(a)]. 3069 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3068(a,1),1886(a,1,1))]. 3070 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(66,a,1886,a(flip),b,3069,a),flip(a)]. 3071 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(66,a,368,a(flip),b,3070,a),flip(a)]. 3072 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3071(a,2),99(a,1,2,2))]. 3073 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2395(a,1),2833(a,1,2))]. 3074 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(285,a,2382,a(flip),b,3073,a),flip(a)]. 3075 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(37,a,2929,a,b,2932,a),flip(a)]. 3077 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(66,a,2869,a(flip),b,3002,a),flip(a)]. 3078 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3077,a),flip(a)]. 3079 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3078(a,1),2811(a,1,1))]. 3080 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2907(a,1),3004(a,1,2))]. 3081 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2495(a,1),3007(a,1,2))]. 3082 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(445,a,3017,a)]. 3083 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2748(a,1),3019(a,1,2))]. 3084 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(66,a,2948,a(flip),b,3083,a)]. 3085 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3084(a,1),2763(a,1,1))]. 3086 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(99(a,2),3085(a,1,1,2))]. 3087 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(3002(a,1),2870(a,1))]. 3088 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(285,a,2995,a(flip),b,2890,a),flip(a)]. 3089 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1918,a,3088,a)]. 3090 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(87(a,1),3089(a,1,2)),flip(a)]. 3091 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(539,a,3090,a),flip(a)]. 3092 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(3090(a,1),2589(a,1,2))]. 3093 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2921(a,1),3091(a,1,1))]. 3094 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2949(a,2),3093(a,1,1))]. 3095 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2967(a,1),2972(a,1,2))]. 3096 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(13(a,1),3095(a,2,1,2))]. 3097 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1903(a,2),3096(a,2,1))]. 3098 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(122,a,2394,a(flip),b,3097,a)]. 3099 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2868(a,1),3050(a,1,1))]. 3100 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,32,a,b,3065,a)]. 3101 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2903(a,1),3100(a,1,1))]. 3102 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,980,a(flip),b,3101,a)]. 3103 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(90(a,1),3102(a,2,1,1,1))]. 3104 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(117(a,2),3102(a,2,1,1)),flip(a)]. 3105 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(285,a,2940,a,b,2880,a)]. 3107 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1906(a,1),3081(a,1,2))]. 3108 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3105(a,2),2678(a,1,2))]. 3109 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2271(a,1),2993(a,1,2))]. 3110 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3109(a,1),1397(a,2,2,1,2)),flip(a)]. 3112 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3021(a,1),3108(a,1,2))]. 3113 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2835(a,1),2867(a,1,2,1))]. 3114 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2416,a,2871,a)]. 3115 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(285,a,464,a,b,3023,a)]. 3116 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3112(a,1),3086(a,1,1,2))]. 3117 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(66,a,3085,a(flip),b,3116,a),flip(a)]. 3118 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(16(a,1),3117(a,1,2)),flip(a)]. 3119 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1233(a,1),3118(a,1,2))]. 3120 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2864(a,1),3119(a,1,2))]. 3121 K(x \ 1,K(x \ 1,x) * y) = K(x \ 1,y). [para(2839(a,1),3120(a,1,2)),flip(a)]. 3122 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2892(a,1),3120(a,1,2))]. 3124 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2968(a,1),3092(a,1,2))]. 3125 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(87(a,1),3124(a,2,1,2,2))]. 3127 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1903(a,2),3125(a,2,1))]. 3128 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2665(a,1),3107(a,2,1))]. 3129 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3128(a,1),2730(a,1,1))]. 3130 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2398(a,1),3114(a,1,2,1))]. 3131 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(207(a,1),3048(a,2,1))]. 3132 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(285,a,348,a(flip),b,3131,a),flip(a)]. 3135 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [hyper(124,a,3132,a(flip),b,97,a),flip(a)]. 3136 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(285,a,13,a(flip),b,3135,a),flip(a)]. 3137 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3136(a,1),294(a,1,1)),flip(b)]. 3138 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3137,a,2574,a)]. 3139 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(122,a,3138,a(flip),b,2195,a)]. 3140 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(90(a,1),3138(a,1,2))]. 3141 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1086(a,1),3140(a,1,1))]. 3142 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1635(a,1),3141(a,1,1)),flip(a)]. 3143 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(883(a,1),3129(a,2,1,2))]. 3144 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(66,a,2924,a(flip),b,2923,a)]. 3145 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1904(a,1),3003(a,1,1))]. 3147 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(901(a,1),2996(a,1,2,1))]. 3148 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(3006(a,1),3147(a,1,1))]. 3149 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(136,a,3148,a)]. 3150 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3149(a,1),2329(a,1,2))]. 3151 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(305,a,3150,a),flip(a)]. 3152 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2786,a,3151,a),flip(a)]. 3155 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [hyper(66,a,2395,a,b,3152,a)]. 3156 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3152(a,1),3074(a,1,2))]. 3157 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(37,a,2892,a,b,3156,a),flip(a)]. 3158 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(66,a,3155,a,b,3157,a)]. 3163 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(122,a,3158,a(flip),b,1903,a(flip))]. 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3158(a,1),3145(a,1,1))]. 3165 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1908,a,3163,a)]. 3166 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(66,a,2399,a(flip),b,3163,a)]. 3167 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(122,a,3163,a(flip),b,3098,a(flip))]. 3168 (T(x,y) \ x) \ x = T(x,y). [hyper(2357,a,3166,a)]. 3169 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(136,a,3166,a)]. 3170 x / T(x,y) = T(x,y) \ x. [hyper(185,a,3168,a)]. 3171 (T(x,y) \ x) * T(x,y) = x. [hyper(138,a,3168,a)]. 3175 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(66,a,1717,a,b,3170,a)]. 3176 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3170(a,1),1779(a,1,1))]. 3177 L(x,T(x,y) \ x,x) = x. [hyper(66,a,2129,a,b,3171,a)]. 3179 (x * y) * T(K(y,x),x) = y * x. [para(3177(a,1),2128(a,1,2)),flip(a)]. 3180 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(224,a,3169,a,b,1000,a)]. 3183 T(K(x,y),y) = K(x,y). [hyper(275,a,3179,a),flip(a)]. 3184 (x * K(y,x)) / x = K(y,x). [hyper(254,a,3183,a)]. 3185 T(x,K(y,x)) = x. [hyper(57,a,3183,a)]. 3186 K(x,y) * y = y * K(x,y). [hyper(124,a,3183,a(flip),b,27,a(flip)),flip(a)]. 3188 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3183(a,1),222(a,1,2,1)),flip(a)]. 3189 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3183(a,1),679(a,1,2,1))]. 3190 T(x,K(y,R(x,z,u))) = x. [hyper(148,a,3185,a)]. 3191 T(T(x,y),K(z,x)) = T(x,y). [para(3185(a,1),28(a,1,1)),flip(a)]. 3193 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3185(a,1),221(a,1,2,1)),flip(a)]. 3194 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3185(a,1),222(a,1,2,1)),flip(a)]. 3195 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3185(a,1),223(a,1,2,1)),flip(a)]. 3196 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3185(a,1),383(a,1,2,1))]. 3199 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3185(a,1),415(a,1,2,1,1)),flip(a)]. 3200 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3185(a,1),591(a,1,2,1,1)),flip(a)]. 3201 T(x,y * T(y \ 1,x)) = x. [para(1110(a,1),3185(a,1,2))]. 3202 T(x,y \ T(y,x)) = x. [para(1114(a,1),3185(a,1,2))]. 3203 T(x,x \ ((y * x) / y)) = x. [para(1285(a,1),3185(a,1,2))]. 3204 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3185(a,1),2282(a,1,1,1)),flip(a)]. 3205 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3185(a,1),2333(a,1,2,1)),flip(a)]. 3206 (x \ T(x,y)) * y = y * (x \ T(x,y)). [hyper(124,a,3202,a(flip),b,27,a(flip))]. 3207 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3190(a,1),28(a,1,1)),flip(a)]. 3208 L(K(x,y),y,1 / y) = K(x,y). [hyper(66,a,2209,a,b,3184,a)]. 3209 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(66,a,1185,a,b,3184,a)]. 3210 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3184(a,1),489(a,1,1)),flip(a)]. 3211 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3184(a,1),837(a,1,1,1)),flip(a)]. 3212 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [hyper(124,a,3186,a(flip),b,176,a)]. 3213 T(K(x,y),T(y,z)) = K(x,y). [hyper(57,a,3191,a)]. 3214 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3191(a,1),383(a,1,2,1))]. 3215 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(57,a,3201,a)]. 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3203(a,1),249(a,1,2))]. 3217 K(K(x,y),T(y,z)) = 1. [hyper(58,a,3213,a)]. 3219 K(x \ T(x,y),T(y,z)) = 1. [para(1114(a,1),3217(a,1,1))]. 3220 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(59,a,3219,a)]. 3221 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(123,a,3208,a(flip),b,244,a)]. 3222 (1 / x) \ K(y,x) = x * K(y,x). [hyper(122,a,3208,a(flip),b,244,a)]. 3223 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(66,a,2434,a,b,3180,a)]. 3224 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(39,a,172,a,b,3221,a),flip(a)]. 3226 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3165(a,1),3080(a,1,2))]. 3227 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3176(a,1),105(a,2,1)),flip(a)]. 3228 x * (((y * x) / y) / x) = (y * x) / y. [hyper(124,a,3216,a,b,xx)]. 3230 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(1328,a,3216,a(flip))]. 3231 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(795(a,1),3216(a,1,1)),flip(a)]. 3232 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(136,a,3223,a)]. 3235 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(339,a,3232,a)]. 3237 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3232(a,1),1100(a,1,2))]. 3238 K(T(x \ 1,y) \ 1,T(x \ 1,y)) = K(x,x \ 1). [hyper(285,a,2621,a(flip),b,3235,a),flip(a)]. 3239 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(66,a,2790,a(flip),b,3235,a),flip(a)]. 3240 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3235(a,1),2386(a,1,2))]. 3241 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3235(a,1),2690(a,2,2))]. 3242 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3235(a,1),2731(a,2,2))]. 3243 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3235(a,1),3082(a,1,2))]. 3244 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3243(a,1),2563(a,1,2)),flip(a)]. 3245 T(x,L(K(y,x),z,u)) = x. [hyper(225,a,3188,a)]. 3246 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(225,a,3194,a)]. 3247 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(3246(a,1),219(a,1,1,2))]. 3248 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3195(a,1),46(a,1)),flip(a)]. 3249 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3195(a,2),444(a,1,1,2))]. 3250 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3215(a,1),1392(a,1,2)),flip(a)]. 3251 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(66,a,3167,a(flip),b,3226,a),flip(a)]. 3252 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(66,a,2325,a,b,3251,a)]. 3253 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(124,a,3251,a(flip),b,2325,a)]. 3254 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(32(a,2),3251(a,1,1,2))]. 3255 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3251(a,1),82(a,1,2,2))]. 3256 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(118(a,1),3251(a,1,1,2)),flip(a)]. 3257 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1547(a,1),3251(a,1,1,2)),flip(a)]. 3258 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(262,a,3255,a)]. 3259 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [hyper(124,a,3237,a,b,1008,a)]. 3261 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(66,a,2884,a(flip),b,3239,a),flip(a)]. 3262 K(x / y,y / x) = K(y \ x,x \ y). [hyper(66,a,2875,a(flip),b,3239,a)]. 3263 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(66,a,2545,a,b,3262,a)]. 3264 x * (T(x,y) / x) = T(x,y). [hyper(38,a,2114,a,b,3240,a)]. 3266 T(x,y) / x = x \ T(x,y). [hyper(128,a,3264,a),flip(a)]. 3267 (x \ T(x,y)) * x = T(x,y). [para(3264(a,1),91(a,1,1,2))]. 3268 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(910,a,3266,a),flip(a)]. 3269 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(902,a,3266,a)]. 3270 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(66,a,1500,a(flip),b,3266,a),flip(a)]. 3271 T(x,x \ T(x,y)) = x. [hyper(39,a,249,a,b,3266,a)]. 3272 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3266(a,1),113(a,1,1))]. 3273 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3266(a,1),489(a,1,1))]. 3274 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3266(a,1),2038(a,1,1))]. 3275 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3266(a,1),2212(a,1,1,2))]. 3276 K(x,x \ T(x,y)) = 1. [hyper(58,a,3271,a)]. 3277 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3271(a,1),221(a,1,2,1)),flip(a)]. 3278 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1114(a,2),3271(a,1,2))]. 3279 K(x,T(x,y) / x) = 1. [para(3266(a,2),3276(a,1,2))]. 3280 T(1 / x,T(x,y)) = x \ 1. [hyper(122,a,3279,a(flip),b,1068,a),flip(a)]. 3281 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(66,a,1519,a,b,3267,a)]. 3282 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3267(a,1),23(a,2,1)),flip(a)]. 3283 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3267(a,1),103(a,1,1))]. 3284 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3267(a,1),479(a,1,1,1))]. 3285 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1114(a,2),3267(a,1,1)),flip(a)]. 3286 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(66,a,1503,a(flip),b,3280,a)]. 3287 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(87(a,1),3280(a,1,1))]. 3288 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3280(a,1),231(a,1,1)),flip(a)]. 3289 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3280(a,1),370(a,2,1))]. 3290 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3280(a,1),1116(a,1,1)),flip(a)]. 3291 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1138,a,3278,a)]. 3292 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(124,a,3278,a(flip),b,1137,a(flip))]. 3293 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(285,a,117,a,b,3287,a),flip(a)]. 3295 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3288(a,1),1396(a,1,1,2)),flip(a)]. 3297 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(66,a,3037,a,b,3293,a)]. 3300 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3297(a,1),2154(a,1,1))]. 3302 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3285(a,2),583(a,1,2,2))]. 3304 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1150(a,1),3291(a,1,1,1,1))]. 3305 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2971(a,1),3292(a,1,1,1,1))]. 3306 T(x,x / (y * x)) = T(x,x / (x * y)). [para(205(a,1),3281(a,1,2))]. 3308 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(209(a,1),3286(a,1,3,2))]. 3309 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3261(a,1),2614(a,1,2))]. 3310 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(3261(a,1),2628(a,1,1)),flip(a)]. 3311 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3263(a,1),1888(a,1,1))]. 3312 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3263(a,2),2622(a,1,2))]. 3314 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3268(a,1),698(a,2,1)),flip(a)]. 3315 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3268(a,1),3251(a,1,1))]. 3316 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3266(a,1),3274(a,2,2))]. 3318 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3288(a,1),3290(a,1,2)),flip(a)]. 3319 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(285,a,325,a(flip),b,3318,a),flip(a)]. 3322 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3319(a,1),946(a,1,1,2))]. 3323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(136,a,3316,a)]. 3324 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),3270(a,2,2,1))]. 3325 T(x,y \ ((x * y) / x)) = x. [para(3270(a,1),3271(a,1,2))]. 3326 T(x,T(y,x) \ y) = x. [para(209(a,1),3325(a,1,2,2))]. 3327 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(57,a,3326,a)]. 3328 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(124,a,3326,a(flip),b,27,a(flip))]. 3330 K(K(x,y),T(z,y) \ z) = 1. [para(3327(a,1),2224(a,1,2))]. 3331 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1114(a,1),3330(a,1,1))]. 3332 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(3331(a,1),2503(a,1,2)),flip(a)]. 3333 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3331(a,1),2620(a,1,2))]. 3334 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(66,a,1502,a,b,3328,a)]. 3335 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3328(a,1),1796(a,1,1,2,1))]. 3336 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(285,a,3251,a(flip),b,3332,a),flip(a)]. 3337 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3270(a,1),3336(a,1,2)),flip(a)]. 3338 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3333(a,1),2377(a,1,2,1))]. 3339 K(1 / x,y) = K(x \ 1,y). [hyper(66,a,2677,a(flip),b,3314,a)]. 3340 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(66,a,929,a(flip),b,3339,a),flip(a)]. 3341 K((x \ 1) \ 1,y) = K(x,y). [para(87(a,1),3339(a,1,1)),flip(a)]. 3342 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2769,a,3341,a)]. 3343 T(K(x,y),x) = K(x,y). [hyper(66,a,2746,a,b,3341,a)]. 3344 K(T(x,x \ 1),y) = K(x,y). [para(117(a,2),3341(a,1,1))]. 3345 K(T((x \ 1) \ 1,y),z) = K(T(x,y),z). [para(2379(a,2),3341(a,1,1))]. 3346 K(T(x \ y,y \ x),z) = K(x \ y,z). [para(2484(a,2),3341(a,1,1))]. 3347 K(x,y) * x = x * K(x,y). [para(3341(a,1),2747(a,1,2)),flip(a)]. 3348 T(x,K(x,y)) = x. [hyper(57,a,3343,a)]. 3349 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3343(a,1),221(a,1,2,1)),flip(a)]. 3350 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3343(a,1),222(a,1,2,1)),flip(a)]. 3351 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3343(a,1),223(a,1,2,1)),flip(a)]. 3352 K(x,K(x,y)) = 1. [hyper(58,a,3348,a)]. 3353 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3348(a,1),221(a,1,2,1)),flip(a)]. 3354 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3348(a,1),222(a,1,2,1)),flip(a)]. 3355 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3348(a,1),223(a,1,2,1)),flip(a)]. 3356 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3348(a,1),425(a,1,1,2)),flip(a)]. 3359 T(K(x,y),T(x,z)) = K(x,y). [hyper(225,a,3353,a)]. 3362 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3359(a,1),263(a,1,2))]. 3363 T(K(x,y),(z * x) / z) = K(x,y). [hyper(57,a,3356,a)]. 3364 T(K(x \ y,z),y / x) = K(x \ y,z). [para(15(a,1),3363(a,1,2,1))]. 3365 T(K(x \ y,z),u) * (y / x) = (y / x) * T(K(x \ y,z),u). [para(3364(a,1),221(a,1,2,1)),flip(a)]. 3366 T(x,L(K(x,y),z,u)) = x. [hyper(225,a,3350,a)]. 3367 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3350(a,1),1913(a,2,1))]. 3368 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(761,a,3351,a),flip(a)]. 3369 T(x,R(K(x,y),z,u)) = x. [hyper(225,a,3351,a)]. 3370 K(x,R(K(x,y),z,u)) = 1. [hyper(58,a,3369,a)]. 3371 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(225,a,3355,a)]. 3372 R(x,y,z) * K(x,u) != w | K(x,u) * R(x,y,z) = w. [para(3371(a,1),263(a,1,2))]. 3373 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3175(a,1),2105(a,1,2))]. 3374 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3175(a,1),2716(a,1,1,2)),flip(a)]. 3375 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(57,a,3373,a)]. 3376 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [hyper(124,a,3373,a(flip),b,27,a(flip))]. 3378 (K(x,y) \ y) * K(x,y) = y. [hyper(37,a,96,a(flip),b,3204,a),flip(a)]. 3379 x / K(y,x) = K(y,x) \ x. [hyper(135,a,3378,a)]. 3380 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3378(a,1),25(a,2,1,1))]. 3383 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3205(a,1),2817(a,2,1))]. 3384 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(118(a,1),3256(a,1,1)),flip(a)]. 3385 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(14(a,1),3384(a,1,1,2)),flip(a)]. 3386 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(66,a,3020,a,b,3259,a)]. 3387 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1067,a,3277,a),flip(a)]. 3388 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,281,a(flip),b,3300,a)]. 3390 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(589(a,1),3311(a,1,1,2))]. 3391 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1262(a,1),3315(a,1,1)),flip(a)]. 3392 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1281(a,2),3315(a,1,1)),flip(a)]. 3393 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(285,a,3253,a(flip),b,3376,a),flip(a)]. 3394 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3386(a,1),2938(a,1,2)),flip(a)]. 3395 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3387(a,2),995(a,1,2))]. 3396 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3388(a,1),23(a,2,1)),flip(a)]. 3397 R(x,x \ T(x,y),T(x,z)) = x. [hyper(700,a,3395,a)]. 3398 L(x,x \ T(x,y),x) = x. [para(3397(a,1),1059(a,1,1))]. 3399 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(60,a,3200,a)]. 3401 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(117(a,1),3241(a,1,2,1))]. 3404 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(128,a,3310,a)]. 3405 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(14(a,1),3385(a,1,1)),flip(a)]. 3406 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(185,a,3405,a)]. 3407 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(66,a,3337,a,b,3406,a)]. 3408 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(122,a,3407,a(flip),b,1000,a),flip(a)]. 3409 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(209(a,1),3407(a,2,1))]. 3410 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3408(a,1),2392(a,1,2))]. 3411 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(209(a,1),3410(a,1,2,2,1))]. 3412 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1267(a,1),3411(a,1,2,2,2))]. 3413 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(123,a,3409,a(flip),b,3169,a),flip(a)]. 3414 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3334(a,1),3409(a,1,1))]. 3415 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(185,a,3414,a)]. 3416 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1267(a,1),3415(a,1,2,2))]. 3417 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3394(a,1),2185(a,1,1)),flip(a)]. 3418 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(136,a,3401,a)]. 3419 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(3404(a,1),2014(a,1,1))]. 3420 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [hyper(124,a,3419,a(flip),b,27,a(flip)),flip(a)]. 3421 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(3419(a,1),2378(a,1,1)),flip(a)]. 3422 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(180,a,3421,a),flip(a)]. 3423 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(66,a,3103,a(flip),b,3422,a),flip(a)]. 3424 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3309(a,2),3420(a,1,1))]. 3425 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2951(a,1),3423(a,1,1,1,1))]. 3426 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3423(a,1),3341(a,1,1)),flip(a)]. 3427 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(224,a,3424,a(flip),b,2832,a(flip))]. 3429 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(17(a,1),3427(a,1,2,1))]. 3430 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3429(a,1),2719(a,1,1)),flip(a)]. 3431 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(14(a,1),3257(a,2,1))]. 3433 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3282(a,1),1021(a,1,2)),flip(a)]. 3434 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(15(a,1),3433(a,1,1)),flip(a)]. 3435 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3433(a,2),46(a,1))]. 3436 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(66,a,1827,a,b,3283,a)]. 3437 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3334(a,1),3413(a,1,2))]. 3438 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3268(a,1),3437(a,2,1))]. 3439 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3266(a,1),3275(a,2,2,1,2))]. 3440 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(285,a,3328,a(flip),b,3335,a),flip(a)]. 3441 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3028(a,1),3340(a,2,1,1))]. 3443 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3414(a,1),3440(a,1,1,2))]. 3444 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(37,a,3439,a(flip),b,3443,a(flip))]. 3446 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3444(a,1),241(a,1,2))]. 3447 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3273(a,2,1))]. 3448 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3169(a,1),3417(a,1,1)),flip(a)]. 3449 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(90(a,1),3164(a,1,2,1))]. 3451 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2405,a,3449,a)]. 3453 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1906(a,1),3451(a,1,2))]. 3454 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(32(a,2),3254(a,2,1))]. 3455 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),3295(a,1,1))]. 3456 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(116(a,1),3455(a,2,1))]. 3457 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(285,a,2415,a(flip),b,3456,a),flip(a)]. 3459 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3457(a,1),1350(a,1,1)),flip(a)]. 3460 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(285,a,3223,a(flip),b,3459,a),flip(a)]. 3462 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3460(a,1),3457(a,1,1))]. 3464 K(T(x / y,z) \ 1,T(x / y,u)) = K(x \ y,y \ x). [hyper(285,a,3239,a(flip),b,3462,a),flip(a)]. 3470 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3392(a,1),3308(a,1,3))]. 3471 T(x,K(y,x) \ 1) = x. [para(3392(a,1),3326(a,1,2))]. 3472 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [hyper(124,a,3471,a(flip),b,27,a(flip))]. 3474 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3472(a,1),203(a,2,1)),flip(a)]. 3475 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(285,a,3470,a(flip),b,3474,a),flip(a)]. 3477 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3399(a,1),126(a,1))]. 3478 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(87(a,1),3453(a,2,1,1,2))]. 3480 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2416,a,3478,a)]. 3481 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(14(a,1),3480(a,1,2)),flip(a)]. 3482 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [hyper(124,a,2976,a(flip),b,3481,a)]. 3483 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [hyper(124,a,3482,a(flip),b,993,a)]. 3484 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2983(a,1),3482(a,1,2)),flip(a)]. 3485 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1944(a,1),3454(a,1,1)),flip(a)]. 3486 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1375(a,1),3244(a,1,1))]. 3487 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(243(a,2),3486(a,1,2,1))]. 3488 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(66,a,3144,a(flip),b,3487,a)]. 3489 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3488(a,1),2919(a,1,2))]. 3490 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3446,a,3258,a),flip(a)]. 3491 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1267(a,1),3490(a,1,2,2))]. 3492 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(116(a,2),3368(a,2,1,1,1))]. 3493 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3342(a,1),3412(a,1,2,2))]. 3494 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3493(a,1),249(a,1,2))]. 3495 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3494(a,1),2692(a,1,1)),flip(a)]. 3496 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3494(a,1),2837(a,1,1))]. 3497 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(124,a,3496,a(flip),b,2253,a),flip(a)]. 3498 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(3497(a,1),2945(a,1,2))]. 3499 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(66,a,2187,a(flip),b,3498,a)]. 3500 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3267(a,1),3489(a,1,2,1))]. 3501 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(117(a,1),3500(a,2,2,1,1))]. 3502 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2914(a,1),3484(a,1,2))]. 3503 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(117(a,2),3502(a,1,2,1))]. 3504 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(34(a,1),3367(a,1,1))]. 3505 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(285,a,3448,a(flip),b,3374,a),flip(a)]. 3506 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3175(a,1),3505(a,1,1))]. 3507 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(795(a,1),3231(a,1,2)),flip(a)]. 3508 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(66,a,1943,a(flip),b,3507,a),flip(a)]. 3510 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3434(a,1),3436(a,1,1))]. 3511 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(66,a,232,a(flip),b,3510,a)]. 3512 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(14(a,1),3511(a,1,1)),flip(a)]. 3513 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(122,a,3398,a(flip),b,3512,a)]. 3514 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1547(a,1),3513(a,1,1,2)),flip(a)]. 3515 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3270(a,1),3513(a,1,1)),flip(a)]. 3516 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3407(a,1),3515(a,1,2)),flip(a)]. 3517 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(209(a,1),3516(a,1,1,2)),flip(a)]. 3518 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(209(a,1),3517(a,1,2,1)),flip(a)]. 3519 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(14(a,1),3514(a,2,1))]. 3521 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3431(a,1),3519(a,1,2))]. 3522 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(128,a,3521,a)]. 3523 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),3304(a,2,1))]. 3524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(2815(a,1),3523(a,1,1))]. 3525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(122,a,3524,a(flip),b,3521,a)]. 3526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3525,a),flip(a)]. 3527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(42,a,2510,a,b,3526,a)]. 3529 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2838(a,1),2872(a,1,2)),flip(a)]. 3530 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(285,a,25,a,b,3529,a),flip(a)]. 3531 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3529(a,2),479(a,1))]. 3532 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(66,a,3053,a(flip),b,3530,a),flip(a)]. 3533 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2899(a,1),2900(a,2,2,1,1))]. 3534 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(285,a,3269,a(flip),b,3533,a),flip(a)]. 3536 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3269(a,1),3534(a,1,1))]. 3537 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3536(a,1),3322(a,1,1))]. 3538 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3319(a,1),3537(a,2,1))]. 3540 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2413,a,3538,a)]. 3542 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2948(a,1),2994(a,1,2)),flip(a)]. 3544 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3542(a,2),447(a,1))]. 3545 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(112(a,1),2935(a,1,1,1,1,2))]. 3546 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2452,a,3545,a)]. 3547 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(16(a,1),3305(a,1,1,1))]. 3549 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3547(a,1),47(a,1)),flip(a)]. 3550 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3342(a,1),3491(a,1,2))]. 3551 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3391(a,1),3550(a,1,3))]. 3552 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(14(a,1),3551(a,1,3,1,2,2,1))]. 3553 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(116(a,1),3552(a,1,3,1,2))]. 3554 R(x,K(y,x),K(y,x) \ 1) = x. [para(21(a,2),3553(a,1,3,1))]. 3555 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(122,a,3554,a(flip),b,355,a)]. 3556 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3094(a,1),3057(a,1,1))]. 3557 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3269(a,1),3110(a,2,1))]. 3558 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3066(a,1),3324(a,1,2))]. 3559 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(32(a,2),3558(a,1,2))]. 3560 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1954(a,1),3559(a,1,2,1)),flip(a)]. 3561 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(285,a,1944,a(flip),b,3560,a),flip(a)]. 3563 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(3087,a,3561,a)]. 3564 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3561,a),flip(a)]. 3565 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3564(a,2),3527(a,1,1))]. 3566 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(66,a,3485,a,b,3565,a)]. 3567 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2313,a,3566,a)]. 3568 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(124,a,3567,a(flip),b,3508,a)]. 3569 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3567(a,1),2303(a,2,1,1))]. 3570 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1710(a,2),3563(a,1,2))]. 3571 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3570(a,1),2801(a,1,1)),flip(a)]. 3572 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3564(a,1),3571(a,2,1))]. 3573 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,3079,a(flip),b,3572,a),flip(a)]. 3574 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(37,a,1903,a(flip),b,3573,a),flip(a)]. 3575 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(66,a,3142,a,b,3574,a)]. 3576 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(185,a,3575,a),flip(a)]. 3577 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2381(a,1),3575(a,1,1,1))]. 3578 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(66,a,3568,a,b,3576,a)]. 3579 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(87(a,1),3576(a,1,1,2)),flip(a)]. 3580 R(1 / (1 / (x / (y / z))),y / z,z) = 1 / (1 / ((x * z) / y)). [para(489(a,1),3576(a,2,2,2))]. 3581 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3579(a,1),184(a,1,1,1))]. 3583 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(87(a,1),3581(a,1,1,1,1)),flip(a)]. 3584 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3581(a,1),3341(a,1,1)),flip(a)]. 3585 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(66,a,986,a,b,3583,a)]. 3586 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3583(a,2),2445(a,1,1))]. 3587 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2713(a,1),3583(a,2,1,1))]. 3588 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(87(a,1),3577(a,1,1,1,1,2)),flip(a)]. 3589 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(686(a,1),3577(a,1,1)),flip(a)]. 3590 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(868(a,1),3588(a,2,1))]. 3591 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(37,a,1874,a,b,3578,a)]. 3592 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(397,a,3591,a)]. 3593 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(487(a,1),3591(a,1,1,1)),flip(a)]. 3594 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3591(a,1),1914(a,1,1)),flip(a)]. 3595 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3591(a,1),3569(a,1,1)),flip(a)]. 3596 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3592(a,1),339(a,1))]. 3597 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(66,a,3430,a,b,3587,a)]. 3598 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3597(a,1),2499(a,1,1)),flip(a)]. 3599 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1491(a,1),3590(a,1,2))]. 3600 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(12(a,1),3599(a,1,2,1,2)),flip(a)]. 3601 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(12(a,1),3600(a,1,1,2)),flip(a)]. 3602 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(180,a,3601,a),flip(a)]. 3603 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2930(a,1),3601(a,1,2))]. 3604 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3602(a,2),3029(a,1,2))]. 3605 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(90(a,1),3603(a,1,2,2,1)),flip(a)]. 3606 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(185,a,3605,a)]. 3607 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(124,a,3606,a,b,xx)]. 3609 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(123,a,3607,a(flip),b,2436,a)]. 3610 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(90(a,1),3607(a,1,2,2,2,2)),flip(a)]. 3612 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(87(a,1),3609(a,1,1,1,2)),flip(a)]. 3613 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(285,a,3526,a(flip),b,3594,a),flip(a)]. 3614 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(136,a,3598,a(flip))]. 3615 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / ((x * y) / 1))) / y. [hyper(123,a,3580,a(flip),b,247,a),flip(a)]. 3616 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(445,a,3595,a)]. 3617 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3341(a,1),3616(a,1,3))]. 3618 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3617(a,1),260(a,1,2)),flip(a)]. 3619 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / (x * y))) / y. [para(86(a,1),3615(a,2,1,2,2))]. 3620 (1 / x) * (1 / (1 / ((1 / x) \ y))) = (1 / (1 / (y * x))) / x. [hyper(66,a,2436,a(flip),b,3619,a)]. 3621 x * K(x \ (1 / y),(1 / y) \ x) = (1 / (1 / (x * y))) / y. [hyper(66,a,2627,a,b,3620,a)]. 3622 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(262,a,3586,a),flip(a)]. 3623 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2389(a,1),3622(a,2,1))]. 3624 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(66,a,3546,a(flip),b,3623,a)]. 3625 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3242(a,1),3624(a,2,1))]. 3626 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3592(a,1),3625(a,1,1))]. 3627 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3626(a,1),47(a,1))]. 3628 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3341(a,1),3626(a,1,1))]. 3629 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2621(a,1),3628(a,2,1,2))]. 3630 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3618,a,3629,a)]. 3631 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(38,a,2398,a,b,3630,a),flip(a)]. 3633 L(x,y,K(z,z \ 1)) = x. [para(3631(a,1),3617(a,1,3))]. 3634 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3631(a,1),3629(a,1,1)),flip(a)]. 3635 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1176,a,3633,a),flip(a)]. 3636 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(66,a,2530,a,b,3633,a)]. 3637 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(66,a,105,a(flip),b,3633,a)]. 3638 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(124,a,3633,a(flip),b,2530,a)]. 3639 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3633(a,1),389(a,1,2)),flip(a)]. 3640 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3633(a,1),499(a,1,2))]. 3641 L(x,y,K(z \ 1,z)) = x. [para(1906(a,1),3633(a,1,3))]. 3642 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3633(a,1),1893(a,1,2)),flip(a)]. 3643 L(x,y,K(z \ u,u \ z)) = x. [para(2490(a,1),3633(a,1,3))]. 3645 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3544,a,3641,a),flip(a)]. 3646 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1176,a,3641,a),flip(a)]. 3650 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(66,a,2856,a(flip),b,3641,a),flip(a)]. 3651 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(66,a,2722,a(flip),b,3641,a),flip(a)]. 3652 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(66,a,2525,a(flip),b,3641,a),flip(a)]. 3653 L(x,y,K(z \ 1,z)) != u | u = x. [para(3641(a,1),53(a,1)),flip(a)]. 3654 L(x,y,K(z \ 1,z)) != u | x = u. [para(3641(a,1),53(a,2))]. 3655 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3641(a,1),389(a,1,2)),flip(a)]. 3656 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3641(a,1),499(a,1,2))]. 3657 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3641(a,1),2427(a,1,2))]. 3659 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3641(a,1),3544(a,1))]. 3661 K(x \ y,y \ x) * (1 / z) = K(x \ y,y \ x) / z. [para(3643(a,1),389(a,1,2)),flip(a)]. 3662 (K(x \ y,y \ x) * z) / u = K(x \ y,y \ x) * (z / u). [para(3643(a,1),499(a,1,2))]. 3664 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(66,a,2966,a,b,3645,a)]. 3665 a(1 / x,x / y,y) \ y = L(y,x / y,x \ 1). [hyper(66,a,1674,a,b,3645,a)]. 3666 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(66,a,455,a(flip),b,3645,a),flip(a)]. 3667 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [hyper(124,a,3645,a(flip),b,23,a(flip))]. 3668 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(87(a,1),3645(a,1,3)),flip(a)]. 3669 1 / L(x,y / x,y \ 1) = (1 / y) * (y / x). [para(3645(a,1),707(a,1,2))]. 3671 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(66,a,2725,a,b,3651,a)]. 3675 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2405,a,3639,a)]. 3676 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [hyper(2858,a,3642,a)]. 3677 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2405,a,3642,a)]. 3679 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(315,a,3677,a),flip(a)]. 3680 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(610(a,1),3677(a,1,1)),flip(a)]. 3681 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(180,a,3679,a)]. 3682 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(123,a,3634,a(flip),b,112,a)]. 3684 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2950(a,1),3634(a,1,1)),flip(a)]. 3686 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(475,a,3635,a)]. 3689 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(224,a,3635,a,b,15,a),flip(a)]. 3692 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,2800,a,b,3686,a)]. 3696 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3636(a,1),981(a,1,1)),flip(a)]. 3697 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2659(a,1),3637(a,1,1))]. 3698 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2845(a,1),3637(a,1,2))]. 3699 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2850(a,1),3637(a,1,1)),flip(a)]. 3704 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(2950(a,1),3638(a,1,1)),flip(a)]. 3705 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2398(a,1),3640(a,1,1))]. 3706 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3640(a,1),2865(a,1,1))]. 3708 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),25(a,2,1,1)),flip(a)]. 3709 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(2649(a,1),3646(a,1,1)),flip(a)]. 3710 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2654(a,1),3646(a,1,1)),flip(a)]. 3711 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2915(a,1),3646(a,1,1)),flip(a)]. 3713 K(x \ 1,x) * ((1 / y) * z) = (K(x \ 1,x) / y) * z. [para(3655(a,1),3646(a,1,1)),flip(a)]. 3714 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [hyper(2989,a,3650,a),flip(a)]. 3716 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2950(a,1),3650(a,1,1)),flip(a)]. 3717 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3656(a,1),118(a,1,1))]. 3718 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(860(a,1),3656(a,1,1)),flip(a)]. 3719 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1881(a,1),3656(a,1,1)),flip(a)]. 3720 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2855,a,3718,a)]. 3721 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(249(a,1),3719(a,1,2)),flip(a)]. 3722 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3627,a,3657,a)]. 3724 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),19(a,2,1)),flip(a)]. 3725 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),23(a,2,1)),flip(a)]. 3726 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3657(a,1),23(a,2,2,2)),flip(a)]. 3728 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3657(a,1),2992(a,1,1))]. 3729 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3596,a,3722,a)]. 3730 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(487(a,1),3722(a,1,2)),flip(a)]. 3733 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(13(a,1),3698(a,2,2))]. 3735 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(13(a,1),3699(a,2,2))]. 3736 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(66,a,2402,a(flip),b,3705,a),flip(a)]. 3737 (x * K(y,y \ 1)) / z != K(y,y \ 1) * u | x / z = u. [para(3705(a,2),46(a,1))]. 3739 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(116(a,1),3689(a,1,2,2))]. 3742 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2888(a,1),3697(a,1,2)),flip(a)]. 3743 K(x \ 1,x) * ((x \ 1) * y) = T(x \ 1,x) * y. [para(1899(a,2),3711(a,2,1))]. 3744 ((x \ 1) * y) * K(x \ 1,x) = T(x \ 1,x) * y. [hyper(2412,a,3743,a)]. 3745 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3716(a,1),3557(a,1,2,1)),flip(a)]. 3746 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3005(a,1),3717(a,1,1))]. 3747 (K(x \ y,y \ x) * z) / u != K(x \ y,y \ x) * w | z / u = w. [para(3662(a,2),46(a,1))]. 3748 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(66,a,3640,a(flip),b,3682,a)]. 3749 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),3708(a,1,1))]. 3750 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(66,a,3656,a(flip),b,3749,a)]. 3751 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(25(a,2),3750(a,1,2)),flip(a)]. 3752 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(285,a,3113,a(flip),b,3751,a),flip(a)]. 3753 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2862,a,3751,a(flip))]. 3754 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1872(a,1),3753(a,1,2,1))]. 3755 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3426(a,1),3745(a,2,2))]. 3756 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2702(a,1),3752(a,1,1)),flip(a)]. 3757 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(15(a,1),3756(a,1,1,2,1)),flip(a)]. 3758 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(123,a,3757,a,b,xx)]. 3759 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3757(a,2,1,2))]. 3760 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2713(a,1),3757(a,2,1,2))]. 3761 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(91(a,1),3758(a,1,1,1)),flip(a)]. 3762 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(138,a,3761,a),flip(a)]. 3763 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3762(a,2),2561(a,1,1))]. 3764 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(66,a,3143,a(flip),b,3760,a),flip(a)]. 3765 (x * (y \ T(y,x))) * y = y * x. [para(14(a,1),3764(a,1,1)),flip(a)]. 3766 x * (y \ T(y,x)) = (y * x) / y. [hyper(135,a,3765,a),flip(a)]. 3767 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(123,a,15,a(flip),b,3765,a),flip(a)]. 3768 x \ ((y * x) / y) = y \ T(y,x). [hyper(128,a,3766,a)]. 3769 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(122,a,756,a(flip),b,3766,a)]. 3770 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(122,a,209,a(flip),b,3766,a)]. 3771 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(122,a,153,a(flip),b,3766,a),flip(a)]. 3772 (x \ T(x,y)) * y = (x * y) / x. [hyper(66,a,3206,a,b,3766,a)]. 3773 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(37,a,3230,a,b,3766,a)]. 3774 ((x * y) / x) / y = x \ T(x,y). [hyper(37,a,3228,a,b,3766,a)]. 3775 (T(x,y) \ x) * ((x * y) / x) = y. [hyper(124,a,3766,a(flip),b,3518,a)]. 3776 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3766(a,1),889(a,1,2))]. 3777 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3268(a,1),3766(a,1,2)),flip(a)]. 3778 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3766(a,1),3323(a,1,1))]. 3779 ((x * y) / x) \ y = T(x,y) \ x. [para(3766(a,1),3444(a,1,1))]. 3781 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3770(a,2),3272(a,1,1))]. 3782 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3772(a,1),176(a,1,2,1))]. 3785 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3774(a,1),461(a,1,1,1))]. 3786 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3549,a,3775,a)]. 3787 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(15(a,1),3779(a,1,1,1)),flip(a)]. 3788 T(x,T(y,x)) \ x = y \ T(y,x). [para(209(a,1),3779(a,1,1)),flip(a)]. 3789 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(756(a,1),3779(a,1,1))]. 3790 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3779(a,1),1306(a,1,2,2,1))]. 3791 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(285,a,1114,a,b,3788,a)]. 3793 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3788(a,1),3168(a,1,1))]. 3795 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3268(a,1),3793(a,1,1))]. 3796 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(117(a,1),3767(a,1,2,2))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3778(a,1),447(a,1,1))]. 3799 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(128,a,3796,a)]. 3800 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(118(a,1),3771(a,1,2))]. 3801 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(66,a,3787,a,b,3800,a)]. 3802 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(124,a,3787,a,b,3800,a(flip)),flip(a)]. 3804 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(14(a,1),3802(a,2,2,1,2))]. 3805 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1538,a,3773,a)]. 3807 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(66,a,1095,a,b,3773,a)]. 3808 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(66,a,2579,a(flip),b,3773,a)]. 3809 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1518,a,3773,a(flip))]. 3810 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,3773,a(flip)),flip(a)]. 3811 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3773(a,1),2049(a,1,1))]. 3812 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3773(a,1),2075(a,2,2,1))]. 3813 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3773(a,1),2067(a,2,2,1))]. 3814 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3773(a,1),2808(a,1,1))]. 3815 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2068,a,3809,a)]. 3818 T(x,x / (y * x)) = T(x,y \ 1). [hyper(66,a,3306,a,b,3809,a)]. 3819 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(123,a,3809,a(flip),b,2063,a)]. 3820 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3809(a,1),2064(a,2,2))]. 3821 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3818(a,1),1071(a,1,2))]. 3822 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3805(a,2),3251(a,1,1))]. 3823 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(117(a,2),3810(a,1,2,1))]. 3824 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3819(a,2),203(a,2,1))]. 3825 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(885,a,3821,a),flip(a)]. 3826 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(138,a,3821,a)]. 3827 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(122,a,3821,a,b,xx)]. 3828 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(90(a,1),3821(a,2,2,1))]. 3829 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(368(a,2),3821(a,2,2)),flip(a)]. 3830 L(x,y,y \ 1) \ T(x,L(x,y,y \ 1) \ 1) = x * (a(1 / y,y,x) / x). [para(2965(a,1),3821(a,2,2,1))]. 3831 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [para(3029(a,1),3821(a,1,2))]. 3832 (x * y) * ((y * x) * (K(y,x) / (y * x))) = T(y * x,(x * y) \ 1). [para(21(a,2),3826(a,1,2,2,1))]. 3834 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1281(a,2),3795(a,1,1)),flip(a)]. 3835 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(66,a,1053,a(flip),b,3804,a)]. 3836 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3804(a,2),46(a,1))]. 3837 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3804(a,1),1313(a,1,1)),flip(a)]. 3838 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3820(a,1),2694(a,2,1,2))]. 3839 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1187,a,3828,a)]. 3840 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3835(a,1),1265(a,2,2,1,2))]. 3841 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(90(a,1),3829(a,2,2,2))]. 3842 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1276(a,1),3834(a,1,2))]. 3843 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1281(a,2),3777(a,2,2))]. 3844 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1429(a,1),3777(a,2,2))]. 3845 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(285,a,3805,a(flip),b,3811,a),flip(a)]. 3846 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3029(a,1),3811(a,1,1,2)),flip(a)]. 3847 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3823(a,2),46(a,1))]. 3849 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3839(a,1),431(a,1,2))]. 3850 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3289(a,1),3845(a,2,2,2,1))]. 3851 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3846(a,1),3822(a,1,1)),flip(a)]. 3852 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3781(a,1),834(a,1,1))]. 3853 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(285,a,3805,a(flip),b,3814,a),flip(a)]. 3854 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3773(a,1),3808(a,1,1))]. 3855 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3805(a,1),3812(a,1,1))]. 3856 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(14(a,1),3825(a,1,2,1)),flip(a)]. 3857 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(66,a,2927,a(flip),b,3856,a),flip(a)]. 3858 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(200(a,2),3857(a,1,2))]. 3859 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3858(a,1),786(a,1,1)),flip(a)]. 3860 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3070(a,1),3841(a,1,2))]. 3861 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3804(a,1),3837(a,1,2,1)),flip(a)]. 3862 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(447,a,3861,a),flip(a)]. 3863 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3844(a,2),46(a,1))]. 3864 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(66,a,3778,a(flip),b,3859,a)]. 3865 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(66,a,2183,a(flip),b,3864,a)]. 3866 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(14(a,1),3865(a,1,1,1)),flip(a)]. 3867 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(14(a,1),3866(a,1,1,1)),flip(a)]. 3868 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(66,a,3664,a(flip),b,3786,a)]. 3869 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2954(a,1),3868(a,2,1))]. 3870 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(66,a,3867,a(flip),b,3869,a),flip(a)]. 3871 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3227(a,1),3862(a,1,2))]. 3872 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(285,a,271,a(flip),b,3755,a)]. 3873 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(21(a,2),3852(a,2,1))]. 3874 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(66,a,3748,a(flip),b,3736,a),flip(a)]. 3875 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2394(a,1),3874(a,1,3)),flip(a)]. 3876 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1906(a,1),3875(a,1,2)),flip(a)]. 3878 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1906(a,1),3876(a,1,3)),flip(a)]. 3879 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(285,a,3853,a,b,3850,a),flip(a)]. 3880 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3029(a,1),3879(a,2,1,2))]. 3881 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(66,a,1413,a(flip),b,3840,a),flip(a)]. 3882 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(116(a,1),3881(a,2,1,2))]. 3883 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3779(a,1),3790(a,2,2))]. 3884 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [hyper(285,a,3714,a(flip),b,3746,a),flip(a)]. 3885 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2831(a,1),3838(a,1,1,1))]. 3886 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3720(a,1),3885(a,1,1,1))]. 3887 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(118(a,1),3886(a,1,1))]. 3888 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3827(a,1),3887(a,2,1))]. 3889 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(285,a,17,a(flip),b,3888,a),flip(a)]. 3890 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(38,a,2852,a(flip),b,3888,a)]. 3892 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2416,a,3889,a)]. 3894 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3889(a,1),2647(a,1,1)),flip(a)]. 3895 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(285,a,278,a,b,3890,a),flip(a)]. 3896 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(154(a,2),3890(a,2,2,1)),flip(a)]. 3897 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2401,a,3895,a)]. 3898 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(3895(a,1),3634(a,1,1)),flip(a)]. 3900 x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. [para(3897(a,1),2405(a,1))]. 3902 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3898(a,1),2946(a,1,2))]. 3903 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(117(a,1),3902(a,1,2,1,2))]. 3904 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [hyper(124,a,3903,a(flip),b,404,a),flip(a)]. 3906 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),3725(a,1,2))]. 3907 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(66,a,3656,a(flip),b,3728,a)]. 3908 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3906,a)]. 3909 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3654,a,3908,a),flip(a)]. 3911 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2409(a,2),3909(a,1,3))]. 3912 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(487(a,1),3593(a,2,2))]. 3913 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,3239,a(flip),b,3912,a),flip(a)]. 3914 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(487(a,1),3913(a,1,2))]. 3916 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1906(a,1),3680(a,2,2))]. 3917 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(87(a,1),3916(a,1,1))]. 3919 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(285,a,3889,a(flip),b,3917,a),flip(a)]. 3920 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(324(a,1),3919(a,1,2,2,2))]. 3921 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(66,a,3721,a(flip),b,3920,a)]. 3922 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2855,a,3921,a)]. 3923 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [hyper(2412,a,3921,a)]. 3924 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3922(a,1),3634(a,1,1)),flip(a)]. 3925 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (1 / T(y \ 1,z))). [para(3238(a,1),3923(a,1,2))]. 3926 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(66,a,2999,a(flip),b,3924,a)]. 3927 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (T(1 / y,z) \ 1)). [para(2380(a,1),3925(a,2,2,2))]. 3928 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ T(1 / y,z). [para(87(a,1),3927(a,2,2))]. 3930 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),3724(a,1,2,1))]. 3931 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3646(a,1),3930(a,1,2))]. 3932 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(770,a,3931,a)]. 3933 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3654,a,3932,a),flip(a)]. 3935 a(1 / x,y,z) = a(x \ 1,y,z). [para(1103(a,1),3933(a,1,1)),flip(a)]. 3936 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2646(a,1),3933(a,1,1)),flip(a)]. 3937 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [hyper(66,a,2965,a,b,3935,a)]. 3938 ((1 / x) * (x / y)) * y = a(x \ 1,x / y,y). [hyper(66,a,865,a,b,3935,a)]. 3939 a(x \ 1,x / y,y) / y = (1 / x) * (x / y). [hyper(123,a,3935,a(flip),b,865,a)]. 3940 a(x \ 1,x / y,y) \ y = L(y,x / y,x \ 1). [para(3935(a,1),3665(a,1,1))]. 3941 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3763(a,1),262(a,1))]. 3942 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3941,a,3813,a)]. 3943 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3815(a,1),3942(a,1,1)),flip(a)]. 3944 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3029(a,1),3943(a,1,2,1,2)),flip(a)]. 3945 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3029(a,1),3944(a,1,1)),flip(a)]. 3946 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(14(a,1),3945(a,1,2,2)),flip(a)]. 3947 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(14(a,1),3946(a,1,2)),flip(a)]. 3948 L(x,y \ T(y,z),y) = x. [hyper(690,a,3947,a)]. 3950 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(135,a,3947,a)]. 3951 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(37,a,996,a,b,3947,a),flip(a)]. 3954 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3770(a,2),3947(a,1,2,1))]. 3955 T(x,y) * y = x * ((x * y) / x). [para(3772(a,1),3947(a,1,2)),flip(a)]. 3957 L(x,y,y \ T(y,z)) = x. [hyper(3435,a,3948,a)]. 3958 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(122,a,3948,a(flip),b,3512,a)]. 3959 L(x,T(y,T(z,y)) \ y,z) = x. [para(3788(a,2),3948(a,1,2))]. 3962 L(x,y,T(z,T(y,z)) \ z) = x. [para(3788(a,2),3957(a,1,3))]. 3963 L(x,T(y,z) \ y,(y * z) / y) = x. [para(208(a,1),3959(a,1,2,1,2))]. 3964 T(x,y) * (x \ y) = (x * y) / x. [hyper(1015,a,3955,a)]. 3965 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1003,a,3955,a),flip(a)]. 3967 T(x,x / (x / y)) = T(x,y). [hyper(38,a,1335,a,b,3955,a)]. 3968 T(x,x \ y) * (x \ y) = x * (y / x). [para(15(a,1),3955(a,2,2,1))]. 3970 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3955(a,2),1578(a,1,1,1))]. 3971 T(x,y) = (x / y) * ((x * y) / x). [hyper(66,a,1045,a,b,3967,a),flip(a)]. 3972 T(x,x / (1 / y)) = T(x,x * y). [hyper(66,a,1341,a(flip),b,3967,a)]. 3973 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(66,a,1060,a(flip),b,3967,a)]. 3974 (x / y) \ T(x,y) = (x * y) / x. [hyper(122,a,3967,a(flip),b,1045,a)]. 3975 T(x,x / y) = T(x,y \ x). [para(87(a,1),3967(a,1,2,2))]. 3976 T(x,(y \ x) \ x) = T(x,y). [para(181(a,1),3967(a,1,2)),flip(a)]. 3977 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3967(a,1),1221(a,1,1))]. 3978 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1186,a,3975,a)]. 3979 T(x,T(y,y \ x)) = T(x,y). [para(117(a,2),3976(a,1,2))]. 3980 T(x * y,T(x,y)) = T(x * y,x). [para(14(a,1),3979(a,1,2,2))]. 3981 T(x / y,T(y,x)) = y \ x. [hyper(224,a,744,a,b,3964,a)]. 3982 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(224,a,745,a(flip),b,3964,a)]. 3984 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3964(a,1),23(a,2,1)),flip(a)]. 3985 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(97(a,1),3964(a,1,2))]. 3987 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3964(a,1),3209(a,1,1,1))]. 3988 T(x \ y,T(x,y)) = T(x \ y,x). [para(3981(a,1),231(a,1,1)),flip(a)]. 3989 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3981(a,1),1708(a,1,1)),flip(a)]. 3991 T(x / y,(x * y) / x) = y \ x. [hyper(224,a,3971,a(flip),b,1033,a(flip))]. 3993 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3972(a,1),1325(a,1,1))]. 3994 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(16(a,1),3974(a,1,1)),flip(a)]. 3995 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(285,a,117,a,b,3982,a),flip(a)]. 3997 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [hyper(124,a,3988,a(flip),b,27,a(flip))]. 3999 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3988(a,2),398(a,1,2,2))]. 4001 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(122,a,3963,a(flip),b,3883,a),flip(a)]. 4002 R(x,x \ T(x,y),z) = x. [hyper(700,a,3950,a)]. 4003 R(x,x \ (K(y,x) \ x),z) = x. [para(3834(a,1),4002(a,1,2,2))]. 4004 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(66,a,3855,a(flip),b,3951,a),flip(a)]. 4005 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(66,a,3540,a(flip),b,3951,a),flip(a)]. 4007 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(14(a,1),3958(a,2,2))]. 4011 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3965(a,2),47(a,1))]. 4012 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(122,a,3821,a,b,3968,a)]. 4013 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(66,a,3951,a,b,3968,a)]. 4014 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(66,a,281,a(flip),b,3968,a)]. 4015 T(x,x \ y) * y = x * (x * (y / x)). [hyper(124,a,3968,a(flip),b,993,a),flip(a)]. 4019 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(185,a,4007,a)]. 4020 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(124,a,4014,a(flip),b,1065,a),flip(a)]. 4021 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(123,a,4015,a(flip),b,1204,a)]. 4022 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3284,a,4019,a)]. 4023 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4019(a,1),307(a,1,1)),flip(b)]. 4024 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4019(a,1),3873(a,1,1)),flip(a)]. 4026 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(66,a,3447,a(flip),b,4022,a)]. 4027 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3774(a,1),3987(a,1,1))]. 4028 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(285,a,3973,a(flip),b,3993,a),flip(a)]. 4029 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4028(a,1),223(a,1,2))]. 4030 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4028(a,1),985(a,1,2)),flip(a)]. 4032 (T(x,y) \ x) * (x * y) = y * x. [hyper(37,a,3977,a(flip),b,3954,a),flip(a)]. 4033 K(x,y) = T(T(y,x) \ y,y * x). [hyper(224,a,4032,a,b,96,a),flip(a)]. 4034 (x * y) / (y * x) = T(y,x) \ y. [hyper(135,a,4032,a)]. 4035 T(x,y / x) \ x = y / (x * (y / x)). [hyper(123,a,17,a(flip),b,4032,a),flip(a)]. 4036 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4032(a,1),294(a,1,1)),flip(b)]. 4038 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(15(a,1),4033(a,2,2)),flip(a)]. 4039 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(42,a,3870,a,b,4034,a(flip))]. 4040 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(17(a,1),4034(a,1,2)),flip(a)]. 4042 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2179(a,1),4039(a,1,2))]. 4043 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3801(a,1),4038(a,1,1))]. 4044 T(x \ T(x * y,y),x) = R(y,x,y). [para(3994(a,1),713(a,2,1)),flip(a)]. 4045 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3994(a,1),724(a,1,1))]. 4046 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4045(a,1),98(a,1,1))]. 4048 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(138,a,4001,a)]. 4050 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3176(a,1),4001(a,1,2))]. 4051 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(38,a,418,a,b,4030,a)]. 4052 (x * (y / x)) / y = (x \ y) \ (y / x). [para(118(a,1),4040(a,1,1)),flip(a)]. 4053 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(285,a,3799,a(flip),b,4052,a),flip(a)]. 4054 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(66,a,3807,a(flip),b,4053,a),flip(a)]. 4055 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(66,a,3785,a,b,4048,a)]. 4056 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4050(a,1),3882(a,1,2,1))]. 4057 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3994(a,1),4051(a,1,1))]. 4059 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(15(a,1),4023(a,1,2))]. 4060 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(66,a,3999,a(flip),b,3989,a),flip(a)]. 4061 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(66,a,625,a(flip),b,4060,a),flip(a)]. 4062 K(x,T(y,y * x)) = K(x,y). [hyper(66,a,625,a(flip),b,4061,a),flip(a)]. 4064 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [hyper(66,a,3051,a(flip),b,4024,a)]. 4066 R(K(x,y),x,z) = K(x,y). [hyper(285,a,4024,a,b,4064,a)]. 4068 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4066(a,1),112(a,1,1)),flip(a)]. 4069 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4066(a,1),3504(a,1,1,1)),flip(a)]. 4070 L(x,y,K(y,z)) = x. [hyper(445,a,4068,a)]. 4071 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3347(a,1),4068(a,1,1))]. 4072 L(x,y,K(y,z)) != u | u = x. [para(4070(a,1),53(a,1)),flip(a)]. 4074 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1139,a,4026,a),flip(a)]. 4076 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(609,a,4054,a)]. 4077 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [hyper(124,a,4076,a(flip),b,117,a(flip))]. 4078 T(x,(x / y) \ 1) = T(x,x \ y). [para(90(a,1),4076(a,1,2,2)),flip(a)]. 4079 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4076(a,1),249(a,1,2))]. 4081 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4076(a,1),3801(a,1,1)),flip(a)]. 4082 (x / y) \ T(x,x \ y) = x * (y / x). [para(4078(a,1),3828(a,1,2))]. 4083 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(90(a,1),4077(a,1,2,2))]. 4084 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3029(a,1),4077(a,1,2))]. 4085 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3029(a,1),4079(a,1,2))]. 4086 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4082(a,1),1352(a,2,2,1))]. 4087 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4082(a,1),1666(a,1,1,2,1))]. 4088 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4076(a,1),4012(a,1,1))]. 4089 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2960(a,1),4088(a,2,2))]. 4090 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(66,a,3771,a(flip),b,4074,a)]. 4091 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4074(a,1),3793(a,1,1)),flip(a)]. 4092 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(66,a,4081,a(flip),b,4090,a)]. 4093 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(285,a,1266,a,b,4092,a)]. 4094 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(285,a,1110,a,b,4092,a)]. 4095 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(285,a,883,a(flip),b,4092,a),flip(a)]. 4096 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4092(a,2),23(a,2,1)),flip(a)]. 4098 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4092(a,2),1396(a,1,1))]. 4099 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4092(a,2),3250(a,2,2)),flip(a)]. 4100 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4094(a,2),3168(a,1,1))]. 4101 T(x,y) \ x = y \ T(y,x). [para(3029(a,1),4095(a,1,1))]. 4102 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(285,a,3771,a(flip),b,4101,a),flip(a)]. 4104 (x * y) / x = y * (T(y,x) \ y). [hyper(124,a,4101,a,b,3768,a),flip(a)]. 4105 T(x,T(y,x)) = T(x,y). [hyper(42,a,3788,a,b,4101,a)]. 4106 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [hyper(124,a,2437,a,b,4101,a(flip))]. 4107 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4101(a,2),3947(a,1,2,1))]. 4108 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4101(a,2),3951(a,1,1)),flip(a)]. 4109 K(x,y) = T(x \ T(x,y),y * x). [para(4101(a,1),4033(a,2,1))]. 4110 x * (T(x,y) \ y) = T(y,x). [hyper(1063,a,4105,a)]. 4111 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(635,a,4105,a),flip(a)]. 4112 T(x,x \ y) \ y = T(x \ y,x). [hyper(634,a,4105,a)]. 4113 T(x,y) \ (x * y) = T(y,x). [hyper(633,a,4105,a)]. 4114 T((T(x,y) * y) / T(x,y),x) = y. [hyper(426,a,4105,a)]. 4115 R(T(x,x * y),y,x) = T(x,y). [hyper(66,a,4028,a,b,4105,a)]. 4116 (x / T(y,x)) * y = T(x,y). [hyper(66,a,3973,a,b,4105,a)]. 4118 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(66,a,4042,a(flip),b,4105,a),flip(a)]. 4119 T(x,y) * T(y,x) = x * y. [hyper(124,a,4105,a(flip),b,220,a)]. 4120 T(x,y) / y = x / T(y,x). [hyper(123,a,4105,a(flip),b,3973,a)]. 4121 T(x,y) \ y = x \ T(y,x). [hyper(122,a,4105,a(flip),b,1018,a),flip(a)]. 4122 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(28(a,1),4105(a,1,2))]. 4123 T(x,y / x) = T(x,x \ y). [para(118(a,1),4105(a,1,2)),flip(a)]. 4124 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4105(a,1),221(a,1,2,1))]. 4126 (x * y) / T(y,x) = T(x,y). [para(4105(a,1),251(a,1,2))]. 4127 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4105(a,1),222(a,1,2,1))]. 4128 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4105(a,1),223(a,1,2,1))]. 4129 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(4105(a,1),282(a,1,1)),flip(a)]. 4130 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(664(a,1),4105(a,1,2))]. 4131 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4105(a,1),591(a,1,2,1,1))]. 4133 T(x,y) * (y * x) = x * (x * y). [para(4105(a,1),3977(a,1,1))]. 4134 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4105(a,1),4029(a,1,2)),flip(a)]. 4136 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [hyper(124,a,4110,a(flip),b,2894,a)]. 4140 T(x,y) = (x \ (y * x)) \ (y * x). [para(27(a,1),4113(a,1,1)),flip(a)]. 4141 x * T(y,z) != z * y | T(z,y) = x. [para(4113(a,1),134(a,1,2)),flip(b)]. 4143 T(x / T(y,x),y) = y \ T(x,y). [hyper(224,a,4116,a,b,15,a)]. 4144 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(123,a,4105,a(flip),b,4116,a)]. 4145 T(x,y) = (x * (x * y)) / (y * x). [hyper(66,a,1223,a,b,4116,a),flip(a)]. 4147 T(x,y) * (x \ T(y,x)) = y. [hyper(1015,a,4119,a)]. 4148 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(124,a,4119,a(flip),b,176,a)]. 4149 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4119(a,1),19(a,2,1,2)),flip(a)]. 4150 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4119(a,1),19(a,2,2,1)),flip(a)]. 4151 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4119(a,1),23(a,2,1)),flip(a)]. 4152 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4119(a,1),105(a,2,1))]. 4153 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4119(a,1),475(a,2,2))]. 4154 (T(x,y) / y) \ x = T(y,x). [hyper(180,a,4120,a(flip))]. 4155 x / (y \ T(x,y)) = T(y,x). [hyper(185,a,4121,a)]. 4157 x * (T(x,y) \ y) != z | T(y,x) = z. [para(4121(a,2),240(a,1,2)),flip(b)]. 4158 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4121(a,1),94(a,1,1,2,1))]. 4159 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4121(a,2),1435(a,2,1))]. 4160 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4121(a,1),1828(a,1,2,1))]. 4161 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4121(a,1),1727(a,1,2,1))]. 4162 T(x,y / x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4123,a),flip(a)]. 4163 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(66,a,731,a,b,4123,a)]. 4164 (x / y) * T(y,y \ x) = y * (x / y). [hyper(124,a,4123,a(flip),b,27,a(flip))]. 4165 (x * (y / x)) / T(x,x \ y) = y / x. [para(4123(a,1),179(a,1,2))]. 4166 x / T(y,x / y) = y \ x. [para(4123(a,2),249(a,1,2))]. 4167 T(x,y / x) != z | (x \ y) \ y = z. [para(4123(a,2),632(a,1))]. 4169 (x * (y / x)) * x = y * T(x,x \ y). [para(4123(a,1),857(a,2,2))]. 4170 T(x,T(y,x / y)) = T(x,y). [para(4123(a,2),3979(a,1,2))]. 4171 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(32(a,2),4126(a,1,2))]. 4172 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4126(a,1),744(a,1,1)),flip(a)]. 4174 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4154(a,1),312(a,1,2,1,2))]. 4175 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ T(1,y),(y \ T(1,y)) \ 1) / T(y,1). [para(4155(a,1),2735(a,2,2))]. 4178 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4162(a,1),857(a,2,2))]. 4179 x / T(y \ x,y) = (y \ x) \ x. [para(87(a,1),4166(a,1,2,2))]. 4180 T(x * y,T(y,x)) = T(x * y,y). [para(16(a,1),4170(a,1,2,2))]. 4181 T(x,x * (y / x)) = T(x,y). [hyper(45,a,731,a,b,4115,a),flip(a)]. 4182 T(x,y * x) = T(x,x * y). [hyper(45,a,727,a,b,4115,a)]. 4183 R(T(x,y),x \ y,x) = T(x,x \ y). [para(15(a,1),4115(a,1,1,2))]. 4184 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4181(a,1),3965(a,2,1))]. 4185 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4181(a,1),4116(a,1,1,2))]. 4186 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4181(a,1),4147(a,1,1))]. 4187 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(66,a,32,a,b,4182,a)]. 4188 T(x,(x \ y) * x) = T(x,y). [para(15(a,1),4182(a,2,2))]. 4189 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4182(a,1),28(a,1,1))]. 4190 x * T(y,x * y) = L(y,x,y) * x. [para(4182(a,2),667(a,1,2))]. 4191 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4182(a,1),752(a,1,2))]. 4192 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4182(a,2),671(a,1,2,1))]. 4193 K(x,T(y,x * y)) = K(x,y). [para(4182(a,2),4062(a,1,2))]. 4194 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(124,a,4188,a(flip),b,753,a),flip(a)]. 4195 T(x \ y,x * (y / x)) = T(x \ y,y). [para(4014(a,1),4188(a,1,2))]. 4196 K(x,T(x \ y,y)) = K(x,x \ y). [para(15(a,1),4193(a,1,2,2))]. 4197 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(285,a,3802,a,b,4104,a),flip(a)]. 4198 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),208(a,1,1))]. 4199 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4104(a,2),4050(a,1,2)),flip(a)]. 4200 T(x / (x / y),y \ x) = y. [para(3802(a,2),4198(a,1,1))]. 4201 (x / (x / y)) * (y \ x) = (y \ x) * y. [hyper(124,a,4200,a(flip),b,27,a(flip)),flip(a)]. 4202 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4200(a,1),28(a,1,1)),flip(a)]. 4203 T(x / (x / (x / y)),y) = x / y. [para(90(a,1),4200(a,1,2))]. 4205 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(285,a,3845,a(flip),b,4109,a)]. 4206 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4111(a,1),695(a,1,1))]. 4207 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(285,a,4044,a(flip),b,4112,a),flip(a)]. 4208 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2917(a,1),4112(a,1,1)),flip(a)]. 4209 T(x,(1 / x) * y) = T(x,x \ y). [hyper(66,a,2954,a,b,4118,a)]. 4210 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(66,a,2903,a(flip),b,4118,a),flip(a)]. 4211 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(15(a,1),4118(a,1,2)),flip(a)]. 4212 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4118(a,1),3872(a,2,1,2))]. 4213 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4133(a,1),858(a,1,1))]. 4214 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4133(a,1),1574(a,2,2,1)),flip(a)]. 4215 ((x / y) * x) / (y * (x / y)) = T(x / y,y). [para(17(a,1),4145(a,2,1,2)),flip(a)]. 4216 (x * (y / x)) / x = y / (y / (y / x)). [hyper(254,a,4203,a)]. 4217 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4203(a,1),702(a,1,1))]. 4218 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(15(a,1),4209(a,1,2)),flip(a)]. 4219 x / T(y,(1 / y) * x) = y \ x. [para(4209(a,2),249(a,1,2))]. 4220 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(4211(a,1),3979(a,1,2))]. 4221 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [hyper(124,a,4218,a(flip),b,117,a(flip))]. 4222 T(x,T(y,x)) != z | T(x,y) = z. [para(1018(a,1),4157(a,1))]. 4223 T(x,x \ y) != z | T(x,y / x) = z. [para(118(a,1),4222(a,1,2))]. 4225 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4183,a),flip(a)]. 4227 L(x,y,(y * x) / y) = L(x,y,x). [hyper(871,a,4190,a)]. 4228 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(755,a,4190,a)]. 4229 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(754,a,4190,a)]. 4230 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4190,a)]. 4231 (x * (y * x)) / x = L(x,y,x) * y. [hyper(66,a,741,a,b,4190,a)]. 4232 T(L(x,y,x) * y,x) = y * x. [para(4190(a,1),738(a,1,1))]. 4233 (L(x,y,x) * y) * x = x * (y * x). [para(4190(a,1),739(a,1,1))]. 4234 T(x,L(x,y,x) * y) = T(x,y * x). [para(4232(a,1),4105(a,1,2)),flip(a)]. 4236 T((x * y) / x,L(x,y,x)) = y. [hyper(1577,a,4229,a)]. 4237 T(x,L(y,x,y)) = T(x,y). [para(4236(a,1),253(a,1,1)),flip(a)]. 4238 T(x,T(y,y * x)) = T(x,y). [hyper(66,a,4130,a,b,4237,a)]. 4239 L(x,y,x) * T(y,x) = y * L(x,y,x). [hyper(124,a,4237,a(flip),b,27,a(flip))]. 4241 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4238(a,1),222(a,1,2,1))]. 4242 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4238(a,1),223(a,1,2,1))]. 4245 L(R(x,y,x),y,x) = x. [hyper(38,a,472,a,b,4233,a(flip))]. 4247 R(x,y,T(x,y)) = R(x,y,x). [hyper(44,a,1059,a,b,4245,a)]. 4248 x \ T(y * x,y) = R(y,x,y). [hyper(44,a,450,a,b,4245,a)]. 4250 x * R(y,x,y) = T(y * x,y). [hyper(124,a,4247,a(flip),b,1057,a)]. 4251 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4105(a,1),4247(a,1,3))]. 4252 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(15(a,1),4248(a,1,2,1)),flip(a)]. 4253 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4248(a,1),105(a,1,1)),flip(a)]. 4254 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4250(a,1),304(a,1,2)),flip(b)]. 4255 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4250(a,1),1633(a,1,1))]. 4256 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4250(a,1),2550(a,2,1))]. 4257 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(285,a,4182,a(flip),b,4234,a),flip(a)]. 4258 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(672(a,1),4234(a,1,2))]. 4259 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4257(a,1),1220(a,1,1))]. 4260 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(87(a,1),4100(a,1,1,1,2)),flip(a)]. 4261 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(66,a,4035,a(flip),b,4102,a)]. 4262 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(37,a,1064,a,b,4107,a),flip(a)]. 4263 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(285,a,4048,a,b,4108,a)]. 4264 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4159(a,2),4145(a,2,2)),flip(a)]. 4265 (x * T(y,y \ x)) / y = y * (x / y). [hyper(66,a,1206,a,b,4164,a)]. 4266 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4120(a,1),4164(a,1,1))]. 4267 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(123,a,4169,a(flip),b,1203,a)]. 4268 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(122,a,4169,a(flip),b,645,a)]. 4270 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4178(a,1),275(a,1,1))]. 4271 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(66,a,28,a,b,4189,a),flip(a)]. 4272 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1705(a,1),4189(a,1,1)),flip(a)]. 4273 T(x / (x / y),x) = L(y,y \ x,y). [para(4197(a,1),676(a,1,1))]. 4274 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4273(a,1),28(a,1,1)),flip(a)]. 4275 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4273(a,2),34(a,1,1))]. 4276 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(66,a,1231,a,b,4201,a)]. 4277 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4239(a,1),47(a,1)),flip(a)]. 4278 K(x \ y,x) \ x = x * K(x,y / x). [hyper(66,a,3810,a(flip),b,4260,a),flip(a)]. 4281 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(4134(a,1),294(a,1,1)),flip(b)]. 4282 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2835(a,2),4106(a,1,2))]. 4283 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(122,a,4119,a(flip),b,4124,a)]. 4284 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(30(a,2),4283(a,1,1))]. 4285 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(632,a,4210,a),flip(a)]. 4286 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(15(a,1),4285(a,1,2)),flip(a)]. 4287 ((x / y) * x) / (y * (x / y)) = y \ x. [hyper(285,a,118,a(flip),b,4215,a),flip(a)]. 4288 (x * (y / x)) \ ((y / x) * y) = T(x \ y,x * (y / x)). [para(4287(a,1),118(a,1,1)),flip(a)]. 4289 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(285,a,4188,a(flip),b,4258,a),flip(a)]. 4290 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4289(a,1),1218(a,1,1))]. 4291 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(285,a,1265,a(flip),b,4262,a)]. 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(66,a,1302,a,b,4263,a)]. 4294 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(285,a,28,a,b,4272,a),flip(a)]. 4295 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(124,a,994,a(flip),b,4292,a)]. 4296 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(66,a,1300,a,b,4295,a)]. 4297 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(285,a,999,a,b,4296,a),flip(a)]. 4298 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(285,a,30,a,b,4274,a),flip(a)]. 4299 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(285,a,3795,a(flip),b,4091,a),flip(a)]. 4300 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4222,a,4299,a),flip(a)]. 4301 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4222,a,4300,a),flip(a)]. 4303 T(x,y / (z * y)) = T(x,z \ 1). [para(14(a,1),4301(a,1,2,1))]. 4304 T(x,(y / z) \ 1) = T(x,z / y). [para(90(a,1),4301(a,1,2,1)),flip(a)]. 4306 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(4167,a,4303,a),flip(a)]. 4311 x / T(y * x,y \ 1) = (y * x) \ x. [para(4303(a,1),4166(a,1,2))]. 4312 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4304(a,1),3880(a,1,1,2))]. 4313 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(66,a,3029,a(flip),b,4306,a)]. 4314 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(124,a,3029,a(flip),b,4306,a(flip))]. 4315 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(90(a,1),4306(a,1,2))]. 4316 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(66,a,2180,a(flip),b,4313,a),flip(a)]. 4317 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4313(a,2),4111(a,2,1))]. 4318 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(224,a,4314,a,b,15,a)]. 4320 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4315(a,2),4111(a,2,1))]. 4321 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(285,a,4094,a(flip),b,4098,a),flip(a)]. 4322 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(662(a,1),4127(a,1,2))]. 4323 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(285,a,4239,a(flip),b,4322,a),flip(a)]. 4325 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4182(a,2),4323(a,1,2))]. 4326 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(66,a,674,a,b,4325,a)]. 4328 L(x,T(y,x),x) = L(x,y,x). [hyper(4277,a,4326,a),flip(a)]. 4329 T(x * L(y,x,y),y) = T(x,y) * y. [para(4326(a,1),4232(a,1,1))]. 4330 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(285,a,4228,a,b,4328,a)]. 4331 L(x,y / x,x) = L(x,x \ y,x). [para(118(a,1),4328(a,1,2)),flip(a)]. 4332 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(664(a,1),4328(a,1,2))]. 4333 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4128(a,1),212(a,1,1,2))]. 4334 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4115(a,1),4128(a,1,2)),flip(a)]. 4335 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4163(a,1),4128(a,1,2)),flip(a)]. 4336 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4183(a,1),4128(a,1,2)),flip(a)]. 4337 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1440(a,1),4186(a,1,2))]. 4338 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4120(a,1),4337(a,1,2))]. 4339 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4338(a,1),46(a,1)),flip(a)]. 4341 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4118(a,1),4205(a,1,2,2,1))]. 4342 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(138,a,4341,a),flip(a)]. 4343 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3847,a,4342,a)]. 4344 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4343(a,1),433(a,1,2))]. 4345 K(x * y,T(y,x)) = K(y * x,y). [hyper(310,a,4213,a),flip(a)]. 4346 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4213(a,1),310(a,1))]. 4347 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(285,a,3851,a(flip),b,4321,a),flip(a)]. 4348 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1770(a,1),4171(a,1,2,1))]. 4349 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4192(a,1),1687(a,1,1))]. 4350 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(285,a,4255,a(flip),b,4334,a),flip(a)]. 4351 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4350(a,1),4253(a,1,2))]. 4352 R(x,y / x,x) = R(x,x \ y,x). [hyper(38,a,4335,a,b,4336,a)]. 4354 R(x,(x * y) / x,x) = R(x,y,x). [para(14(a,1),4352(a,2,2))]. 4355 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4352(a,1),467(a,1,1))]. 4356 R(x,T(y,x),x) = R(x,y,x). [para(209(a,1),4354(a,1,2)),flip(a)]. 4357 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(66,a,4251,a,b,4356,a)]. 4358 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4357(a,1),32(a,2,1))]. 4359 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4357(a,1),36(a,1,1)),flip(a)]. 4361 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(285,a,32,a,b,4358,a),flip(a)]. 4362 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4361(a,1),32(a,2,1))]. 4364 (x * (y / x)) \ ((y / x) * y) = T(x \ y,y). [hyper(285,a,4195,a(flip),b,4288,a),flip(a)]. 4365 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(66,a,1283,a(flip),b,4291,a),flip(a)]. 4366 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3029(a,1),4347(a,1,1,1)),flip(a)]. 4367 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(185,a,4366,a)]. 4368 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(66,a,3338,a(flip),b,4367,a)]. 4369 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(718(a,1),4368(a,1,1,1,1)),flip(a)]. 4370 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(285,a,32,a,b,4362,a),flip(a)]. 4371 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4359(a,1),4148(a,1,1)),flip(a)]. 4372 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(285,a,638,a(flip),b,4217,a),flip(a)]. 4373 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4216(a,2),4372(a,1,2))]. 4374 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(16(a,1),4312(a,1,1,2,2))]. 4375 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(66,a,3220,a(flip),b,4374,a),flip(a)]. 4376 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4375(a,1),3782(a,1,1))]. 4377 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3798,a,4376,a)]. 4378 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(92(a,1),4376(a,1,2))]. 4380 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(117(a,1),4378(a,1,1,2))]. 4381 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(185,a,4380,a)]. 4382 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(285,a,4053,a,b,4381,a)]. 4384 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(285,a,242,a(flip),b,4377,a),flip(a)]. 4385 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3843(a,1),4384(a,1,3))]. 4386 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(285,a,452,a(flip),b,4385,a),flip(a)]. 4387 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4386(a,1),3383(a,1,2,2,1,2))]. 4389 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3951(a,1),4004(a,2,2))]. 4390 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2925(a,1),4005(a,1,2))]. 4391 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(66,a,3503,a(flip),b,4390,a),flip(a)]. 4392 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(285,a,4124,a(flip),b,4172,a),flip(a)]. 4393 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(285,a,4013,a(flip),b,4212,a),flip(a)]. 4394 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(66,a,2534,a(flip),b,4267,a),flip(a)]. 4395 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(414(a,1),4387(a,1,2)),flip(a)]. 4397 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,4395,a)]. 4398 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [hyper(123,a,82,a(flip),b,4395,a)]. 4399 L(x,y,K(z,y)) = x. [para(115(a,1),4397(a,1,2))]. 4400 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1176,a,4399,a),flip(a)]. 4401 a(K(x,y),y,z) = 1. [hyper(56,a,4399,a)]. 4402 L(x,y,T(y,z) \ y) = x. [para(3175(a,1),4399(a,1,3))]. 4403 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4402(a,1),3871(a,1,2)),flip(a)]. 4404 L(x,T(y,z) \ y,y) = x. [hyper(285,a,15,a(flip),b,4403,a),flip(a)]. 4408 L(x,K(y,z),z) = x. [para(4093(a,2),4404(a,1,2))]. 4409 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1176,a,4408,a),flip(a)]. 4411 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4408(a,1),178(a,1,2))]. 4413 R(K(x,y),y,z) = K(x,y). [hyper(475,a,4400,a)]. 4414 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3186(a,1),4400(a,1,1))]. 4415 R(x,K(y,x),z) = x. [hyper(475,a,4409,a)]. 4416 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4409(a,1),23(a,2,1)),flip(a)]. 4418 R(T(x,y),K(z,x),u) = T(x,y). [para(4415(a,1),32(a,2,1))]. 4419 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4415(a,1),471(a,1,1,1)),flip(a)]. 4420 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4415(a,1),473(a,1,1,1)),flip(a)]. 4423 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(285,a,3842,a(flip),b,4418,a),flip(a)]. 4424 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(516,a,4414,a)]. 4425 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(285,a,152,a(flip),b,4414,a),flip(a)]. 4426 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(122,a,84,a(flip),b,4414,a)]. 4427 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(66,a,4409,a(flip),b,4414,a),flip(a)]. 4428 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(66,a,4409,a(flip),b,4425,a)]. 4430 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(66,a,3555,a(flip),b,4426,a),flip(a)]. 4431 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(124,a,3555,a(flip),b,4426,a(flip))]. 4433 R(x,K(y,x) \ 1,z) = x. [para(4430(a,1),4003(a,1,2))]. 4435 K(x \ y,x) \ 1 = K(x,y / x). [hyper(37,a,4278,a(flip),b,4431,a),flip(a)]. 4436 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(122,a,4431,a(flip),b,3472,a)]. 4438 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4431(a,1),176(a,1,2,1))]. 4439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(4431(a,1),3475(a,1,1))]. 4441 K(x,(x * y) / x) = K(y,x) \ 1. [para(14(a,1),4435(a,1,1,1)),flip(a)]. 4443 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(4436(a,1),884(a,1,2,1))]. 4444 K(T(x,y),y) \ 1 = K(y,x). [para(209(a,1),4441(a,1,2)),flip(a)]. 4446 K(T(x,y),y) * K(y,x) = 1. [hyper(138,a,4444,a)]. 4447 K(T(x,y),y) = K(y,x) \ 1. [hyper(42,a,2510,a,b,4444,a),flip(a)]. 4448 R(x,K(x,y),z) = x. [para(4444(a,1),4433(a,1,2))]. 4450 R(T(x,y),K(x,z),u) = T(x,y). [para(4448(a,1),32(a,2,1))]. 4451 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4448(a,1),472(a,1,1,1)),flip(a)]. 4452 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4448(a,1),473(a,1,1,1)),flip(a)]. 4454 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4448(a,1),3212(a,1,1)),flip(a)]. 4455 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4446(a,1),304(a,1,2)),flip(b)]. 4457 x * K(T(y,x),x) = K(x,y) \ x. [hyper(124,a,4447,a,b,3522,a)]. 4458 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4450(a,1),473(a,1,1,1)),flip(a)]. 4459 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(118(a,1),4455(a,1,1,1))]. 4460 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4447(a,2),4455(a,1))]. 4463 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4427(a,1),303(a,1))]. 4465 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),442(a,1,1))]. 4467 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(138,a,4439,a)]. 4468 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(66,a,4071,a(flip),b,4454,a)]. 4469 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(4467(a,1),2699(a,1,1)),flip(a)]. 4470 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4468(a,1),375(a,1,2))]. 4471 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4447(a,2),4459(a,1))]. 4472 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4027(a,2),4460(a,1))]. 4474 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(66,a,280,a(flip),b,4443,a),flip(a)]. 4475 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(176(a,1),4463(a,1,2,2))]. 4477 R(K(x,y),x,z) != u | K(x,y) = u. [para(4024(a,2),4472(a,1))]. 4478 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3195(a,1),4420(a,1,1))]. 4479 T(x,y * K(x,y)) = T(x,y). [hyper(4470,a,4424,a),flip(a)]. 4480 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4479(a,1),4349(a,2,2))]. 4481 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3354(a,1),4451(a,1,1))]. 4482 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(66,a,278,a(flip),b,4474,a),flip(a)]. 4483 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(4478(a,1),475(a,1))]. 4484 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3842(a,1),4423(a,1,1))]. 4485 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(66,a,3380,a(flip),b,4484,a)]. 4487 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(136,a,4485,a)]. 4488 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(285,a,4482,a(flip),b,4469,a),flip(a)]. 4489 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(4488(a,1),2320(a,1,2,2))]. 4490 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(66,a,4185,a(flip),b,4394,a),flip(a)]. 4491 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(285,a,1443,a(flip),b,4490,a),flip(a)]. 4492 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(37,a,4266,a,b,4491,a)]. 4493 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4492(a,1),249(a,1,2))]. 4494 T(x,T(x,y) \ y) = T(x,x \ y). [para(4121(a,2),4492(a,1,2))]. 4495 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(14(a,1),4493(a,1,2,2))]. 4496 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(285,a,4331,a(flip),b,3970,a),flip(a)]. 4497 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4375(a,1),4055(a,1,1))]. 4498 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4059,a,4497,a),flip(a)]. 4499 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4023,a,4497,a),flip(a)]. 4504 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(66,a,4365,a(flip),b,4498,a),flip(a)]. 4505 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(66,a,4262,a(flip),b,4498,a)]. 4509 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(122,a,15,a(flip),b,4499,a)]. 4510 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(66,a,4108,a,b,4499,a)]. 4511 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(122,a,4499,a(flip),b,4048,a),flip(a)]. 4512 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),3954(a,1,2)),flip(a)]. 4513 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),4107(a,1,2)),flip(a)]. 4515 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [hyper(124,a,4510,a(flip),b,4292,a)]. 4516 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4513(a,1),4151(a,1,2))]. 4517 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(66,a,838,a(flip),b,4505,a)]. 4518 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(66,a,3984,a(flip),b,4511,a),flip(a)]. 4519 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(15(a,1),4515(a,1,1,1)),flip(a)]. 4520 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(4515(a,1),95(a,1,1)),flip(a)]. 4521 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(447,a,4516,a),flip(a)]. 4522 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(66,a,4152,a(flip),b,4521,a)]. 4523 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(118(a,1),4521(a,1,2))]. 4524 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(691,a,4518,a),flip(a)]. 4525 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(13(a,1),4522(a,1,2)),flip(a)]. 4526 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(118(a,1),4522(a,2,1,1))]. 4527 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(285,a,212,a(flip),b,4520,a),flip(a)]. 4528 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4513(a,1),4150(a,1,1))]. 4529 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(647,a,4528,a),flip(a)]. 4530 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4528(a,1),647(a,1))]. 4531 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(285,a,473,a(flip),b,4371,a),flip(a)]. 4532 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1168(a,1),4531(a,1,1))]. 4533 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(122,a,4255,a(flip),b,4532,a(flip))]. 4534 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4433(a,1),4438(a,1,1))]. 4535 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(138,a,4534,a)]. 4536 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(37,a,4487,a(flip),b,4535,a),flip(a)]. 4538 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(2190,a,4536,a)]. 4540 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(128,a,4536,a)]. 4542 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [para(116(a,1),4536(a,1,2))]. 4543 L(x,K(y,z),K(T(z,y),y)) = x. [para(4444(a,1),4538(a,1,2))]. 4544 K(T(x,y),y) * z = K(y,x) \ z. [para(4444(a,1),4540(a,1,1)),flip(a)]. 4545 x / (x * K(y,x)) = K(y,x) \ 1. [hyper(123,a,3185,a(flip),b,4542,a)]. 4546 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(14(a,1),4496(a,2,2))]. 4547 L(x,y,T(x,y)) = L(x,y,x). [hyper(66,a,4214,a(flip),b,4546,a)]. 4548 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(4123(a,1),4526(a,1,2,1))]. 4549 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(285,a,4245,a(flip),b,4057,a),flip(a)]. 4551 T(x,x \ T(x * y,y)) = T(x,y). [para(4549(a,1),3995(a,1,2)),flip(a)]. 4552 K(x,x \ T(x * y,y)) = K(x,y). [para(4549(a,1),4196(a,1,2)),flip(a)]. 4553 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4551(a,1),4207(a,1,1))]. 4554 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(66,a,4046,a,b,4552,a),flip(a)]. 4555 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(27(a,1),4553(a,1,1))]. 4556 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4250(a,1),4554(a,2,1))]. 4557 K(x \ T(x * y,x),x) = K(y,x). [hyper(285,a,1448,a(flip),b,4556,a)]. 4558 K(x \ T(y,x),x) = K(x \ y,x). [para(15(a,1),4557(a,1,1,2,1))]. 4559 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(208(a,1),4558(a,1,1,2)),flip(a)]. 4560 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4199(a,2),4559(a,1,1))]. 4561 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4560(a,1),4056(a,1,2)),flip(a)]. 4562 T(x,(y \ x) * y) = x. [hyper(38,a,3985,a,b,4561,a(flip))]. 4563 T((x \ y) * x,y) = (x \ y) * x. [hyper(57,a,4562,a)]. 4564 T(x,y * (x / y)) = x. [para(90(a,1),4562(a,1,2,1))]. 4565 T(x * (y / x),y) = x * (y / x). [para(91(a,1),4562(a,1,2))]. 4566 T(T(x,y),z * (x / z)) = T(x,y). [para(4564(a,1),28(a,1,1)),flip(a)]. 4567 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4565(a,2),4382(a,1,1))]. 4568 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3857(a,1),4567(a,1,1,1)),flip(a)]. 4570 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3029(a,1),4136(a,1,2))]. 4571 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(66,a,2430,a,b,4570,a)]. 4572 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4571(a,2),1490(a,2,2,1,2))]. 4573 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(66,a,3027,a(flip),b,4208,a),flip(a)]. 4574 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(90(a,1),4573(a,1,1,2)),flip(a)]. 4575 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4110(a,1),4264(a,1,1,2))]. 4576 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(116(a,1),4575(a,1,1))]. 4577 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(285,a,4494,a(flip),b,4576,a),flip(a)]. 4578 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3388(a,1),4391(a,1,1)),flip(a)]. 4579 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4393(a,1),4568(a,1,2)),flip(a)]. 4580 ((x \ y) * x) / y = y / (x * (y / x)). [para(4563(a,1),4579(a,1,1))]. 4581 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(285,a,4261,a(flip),b,4580,a),flip(a)]. 4582 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2387(a,1),4574(a,2,1))]. 4583 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3610(a,1),4582(a,1,1))]. 4584 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4583(a,1),4529(a,1,1))]. 4585 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(66,a,4509,a(flip),b,4096,a)]. 4586 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(66,a,4533,a(flip),b,4351,a),flip(a)]. 4588 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4409(a,1),4416(a,1,2))]. 4589 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(66,a,4389,a(flip),b,4585,a)]. 4590 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4510(a,1),4589(a,1,2)),flip(a)]. 4592 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4590(a,2),556(a,1))]. 4594 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(993(a,1),4086(a,1,1,2,1))]. 4595 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(552,a,4489,a),flip(a)]. 4596 K(x,(y \ 1) \ 1) = K(x,y). [hyper(285,a,617,a(flip),b,4595,a)]. 4597 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(4595(a,2),618(a,1))]. 4598 K(x,1 / y) = K(x,y \ 1). [para(90(a,1),4596(a,1,2,1)),flip(a)]. 4599 K(x,1 / (1 / y)) = K(x,y). [para(184(a,1),4596(a,1,2)),flip(a)]. 4600 K(x,T(y / z,z / y)) = K(x,y / z). [para(1959(a,2),4596(a,1,2))]. 4601 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2379(a,2),4596(a,1,2))]. 4604 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3429(a,2),4596(a,1,2))]. 4609 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(66,a,1314,a,b,4599,a)]. 4610 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3612(a,1),4599(a,1,2))]. 4611 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(282(a,2),4601(a,1,2))]. 4612 K(x,T(L(1 / y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u) \ 1,w)). [para(2604(a,1),4601(a,1,2,1,1)),flip(a)]. 4613 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(3423(a,1),4601(a,1,2,1)),flip(a)]. 4614 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(66,a,3072,a,b,4610,a)]. 4615 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4320(a,1),4613(a,1,2)),flip(a)]. 4616 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4609(a,1,1,2))]. 4617 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3968(a,1),4594(a,1,1,2,1))]. 4618 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(90(a,1),4373(a,2,1,2))]. 4619 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(66,a,1088,a(flip),b,4256,a),flip(a)]. 4620 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2415(a,1),4619(a,1,1)),flip(a)]. 4621 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(123,a,4620,a(flip),b,1088,a)]. 4623 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),4465(a,1,2))]. 4624 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(66,a,4588,a(flip),b,4623,a),flip(a)]. 4625 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4348,a),flip(a)]. 4627 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3860(a,1),4614(a,1,2)),flip(a)]. 4628 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1154(a,1),4333(a,1,1))]. 4629 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1174(a,1),4628(a,1,2))]. 4630 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(647,a,4629,a),flip(a)]. 4631 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4529,a,b,4630,a)]. 4632 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4105(a,1),4631(a,1,1))]. 4633 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3027(a,1),4616(a,1,2,1,2))]. 4634 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4633(a,1,2,1))]. 4635 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3027(a,1),4634(a,2,1,2))]. 4636 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(116(a,1),4635(a,2,1))]. 4637 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(66,a,2210,a(flip),b,4636,a)]. 4638 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1880(a,1),4637(a,1,1,2))]. 4639 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(87(a,1),4638(a,1,1,2,2))]. 4640 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3025(a,2),4638(a,1,1))]. 4641 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(17(a,1),4640(a,2,1))]. 4642 K(K(x \ 1,x) * y,x) = K(y,x). [para(3008(a,1),4641(a,1,1))]. 4643 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(2621(a,1),4642(a,1,1,1))]. 4644 K(K(x,x \ 1) * y,x) = K(y,x). [para(2847(a,1),4642(a,1,1)),flip(a)]. 4645 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2915(a,1),4642(a,1,1))]. 4646 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2249(a,2),4644(a,1,1))]. 4647 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3001(a,1),4645(a,1,1))]. 4648 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2974(a,1),4643(a,1,1)),flip(a)]. 4649 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2947(a,1),4646(a,1,1,1))]. 4650 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(66,a,920,a,b,4647,a)]. 4651 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4598,a,b,4648,a)]. 4652 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(66,a,4627,a,b,4650,a),flip(a)]. 4653 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(285,a,4343,a(flip),b,4652,a),flip(a)]. 4654 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(285,a,4596,a(flip),b,4653,a),flip(a)]. 4655 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(66,a,4647,a,b,4654,a)]. 4656 K((x \ 1) * y,x) = K(x \ y,x). [para(14(a,1),4654(a,1,1,2)),flip(a)]. 4657 K((1 / x) * y,x) = K(x \ y,x). [para(14(a,1),4655(a,1,1,2)),flip(a)]. 4658 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4651,a(flip),b,4657,a),flip(a)]. 4659 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(27(a,2),4657(a,2,1))]. 4660 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(87(a,1),4657(a,1,1,1)),flip(a)]. 4661 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(890(a,1),4659(a,1,1))]. 4662 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(66,a,4649,a(flip),b,4661,a)]. 4663 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4662(a,1),4444(a,1,1))]. 4664 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4455,a,4663,a),flip(a)]. 4665 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(66,a,3122,a(flip),b,4664,a),flip(a)]. 4666 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2933(a,2),4664(a,1,2,1)),flip(a)]. 4667 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3342(a,1),3416(a,1,2)),flip(a)]. 4668 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(285,a,3379,a(flip),b,4667,a),flip(a)]. 4670 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(4668(a,1),3438(a,1,2)),flip(a)]. 4671 1 / (K(x,y) \ y) = K(x,y) / y. [para(1266(a,2),4670(a,1,1)),flip(a)]. 4672 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(180,a,4671,a)]. 4673 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),3049(a,1,1))]. 4674 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),4673(a,1,2,3))]. 4675 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2754(a,1),4674(a,1,2)),flip(a)]. 4676 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3045(a,1),4675(a,1,1))]. 4677 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1927(a,1),4676(a,1,2))]. 4678 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2437(a,1),4676(a,1,1)),flip(a)]. 4679 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(66,a,3035,a(flip),b,4677,a),flip(a)]. 4680 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(285,a,3099,a(flip),b,4679,a),flip(a)]. 4681 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(285,a,2712,a(flip),b,4680,a),flip(a)]. 4682 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(66,a,4681,a(flip),b,4678,a)]. 4683 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1927(a,1),4682(a,2,2))]. 4684 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(285,a,3035,a(flip),b,4683,a),flip(a)]. 4685 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(285,a,3375,a(flip),b,4684,a),flip(a)]. 4686 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3252(a,1),4685(a,1,1))]. 4687 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(66,a,3506,a(flip),b,4686,a)]. 4688 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(4687(a,1),835(a,1,1))]. 4689 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(66,a,457,a(flip),b,4688,a),flip(a)]. 4690 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(285,a,21,a,b,4689,a)]. 4691 L(K(x,y),y \ 1,y) = K(x,y). [para(21(a,2),4690(a,2,1)),flip(a)]. 4692 (1 / x) * K(y,x) = K(y,x) / x. [para(4691(a,1),3499(a,1,1)),flip(a)]. 4693 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(122,a,4692,a(flip),b,2085,a)]. 4695 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(90(a,1),3115(a,1,1,3))]. 4696 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2712(a,1),4695(a,1,1))]. 4697 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3760(a,1),4696(a,1,1)),flip(a)]. 4698 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(12(a,1),4697(a,2,1,1,2))]. 4699 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(90(a,1),4698(a,2,2))]. 4700 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3926(a,1),4699(a,1,1))]. 4701 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4700(a,1),46(a,1))]. 4702 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4165(a,1),4087(a,1,1,2)),flip(a)]. 4703 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(285,a,2775,a(flip),b,4702,a),flip(a)]. 4704 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4082(a,1),4703(a,1,3))]. 4705 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(90(a,1),4089(a,1,1,2))]. 4706 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(30(a,2),4705(a,1,1))]. 4707 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4706(a,1,1))]. 4708 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(90(a,1),4707(a,1,2,2,2))]. 4709 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(30(a,2),4708(a,1,2,2))]. 4710 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4709(a,1,2,2))]. 4711 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(14(a,1),4710(a,1,2))]. 4713 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ T(1,y)) \ 1) / T(y,1). [para(188(a,1),4175(a,2,1,2,2))]. 4714 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ 1) \ 1) / T(y,1). [para(188(a,1),4713(a,2,1,3,1,2))]. 4717 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / T(y,1). [para(2969(a,1),4714(a,2,1))]. 4718 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(186(a,1),4717(a,2,2))]. 4719 L(x / ((y \ 1) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4718(a,1,1,2,1,2))]. 4720 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4719(a,1,2,1,2))]. 4722 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) = L(x,y \ 1,y) / y. [para(188(a,1),4720(a,1,3,2))]. 4725 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3285(a,2),3302(a,2,2,2))]. 4726 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4725(a,1,1))]. 4727 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4726(a,1,2,1,3))]. 4728 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3962(a,1),4727(a,1,2,1))]. 4729 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),1259(a,1,2,2,1,1))]. 4730 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),4729(a,1,2,2,2))]. 4731 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),L(z,y,x)). [para(23(a,2),4730(a,2,2))]. 4732 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(17(a,1),2462(a,1,2,1))]. 4733 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(85(a,1),4732(a,1,2))]. 4735 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(311,a,4733,a),flip(a)]. 4738 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2556(a,1),4735(a,1,1))]. 4739 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(597(a,1),3501(a,1,1)),flip(a)]. 4740 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(597(a,1),4265(a,1,1,2))]. 4741 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(66,a,4276,a(flip),b,4740,a),flip(a)]. 4742 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(90(a,1),4739(a,1,2,1,1,1))]. 4743 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(37,a,2942,a,b,4742,a)]. 4744 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(123,a,3483,a(flip),b,4742,a(flip))]. 4745 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(124,a,4743,a(flip),b,2920,a)]. 4746 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4578(a,1),4744(a,1,2))]. 4747 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4746(a,1),288(a,1,1)),flip(a)]. 4748 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4745(a,1),3396(a,1,2))]. 4749 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(447,a,4748,a),flip(a)]. 4751 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(66,a,3668,a(flip),b,4749,a),flip(a)]. 4752 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(66,a,105,a(flip),b,4751,a),flip(a)]. 4753 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(4592,a,4752,a)]. 4755 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4753(a,1),3556(a,2,2))]. 4756 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(285,a,4747,a(flip),b,4755,a),flip(a)]. 4758 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(66,a,3884,a(flip),b,4756,a)]. 4759 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(209(a,1),4756(a,1,1,2,2))]. 4760 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4759(a,2),46(a,1))]. 4762 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,4758,a),flip(a)]. 4764 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4762(a,1),2988(a,1,2))]. 4765 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4764(a,1),3907(a,1,2)),flip(a)]. 4767 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(285,a,2841,a(flip),b,4765,a),flip(a)]. 4771 R(x,K(y \ 1,y),z) = x. [para(15(a,1),4767(a,1,3))]. 4775 R(x,y,K(z \ 1,z)) = x. [hyper(66,a,3878,a(flip),b,4771,a)]. 4776 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4771(a,1),112(a,1,1)),flip(a)]. 4782 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(66,a,3706,a(flip),b,4775,a)]. 4783 R(x,y,K(z \ 1,z)) != u | u = x. [para(4775(a,1),54(a,1)),flip(a)]. 4784 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4775(a,1),112(a,1,1)),flip(a)]. 4785 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4775(a,1),462(a,1,1))]. 4787 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4775(a,1),474(a,1,1)),flip(a),flip(b)]. 4788 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4775(a,1),498(a,1,1))]. 4789 R(x,y,K(z,z \ 1)) = x. [para(1904(a,1),4775(a,1,3))]. 4790 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4775(a,1),2428(a,1,1))]. 4791 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3531,a,4789,a)]. 4795 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(66,a,3696,a(flip),b,4789,a),flip(a)]. 4796 R(x,y,K(z,z \ 1)) != u | x = u. [para(4789(a,1),54(a,2))]. 4797 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4789(a,1),112(a,1,1)),flip(a)]. 4799 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4789(a,1),2421(a,1,1))]. 4802 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(87(a,1),4791(a,1,3)),flip(a)]. 4803 R(x,y,1 / (1 / z)) = R(x,y,z). [para(90(a,1),4791(a,2,3))]. 4806 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2255(a,1),4795(a,1,2))]. 4807 T(x,K(y,y \ 1) * z) = T(x,z). [para(2398(a,2),4795(a,1,2))]. 4808 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2617(a,1),4795(a,1,2))]. 4809 T(x,K(y \ 1,y) * z) = T(x,z). [para(2839(a,1),4795(a,1,2)),flip(a)]. 4810 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2849(a,1),4795(a,1,2)),flip(a)]. 4811 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2887(a,1),4795(a,1,2))]. 4813 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2950(a,1),4795(a,1,2))]. 4814 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2977(a,1),4795(a,1,2)),flip(a)]. 4815 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3312(a,1),4795(a,1,2))]. 4816 T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). [para(3704(a,1),4795(a,1,2))]. 4818 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4802(a,1),112(a,1,1))]. 4820 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2909(a,1),4807(a,1,2)),flip(a)]. 4821 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2974(a,1),4807(a,1,2)),flip(a)]. 4822 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4807(a,1),4105(a,1,2))]. 4825 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4808(a,1),4584(a,1,2))]. 4826 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4810(a,1),4504(a,1,2,1))]. 4827 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(285,a,4317,a(flip),b,4813,a),flip(a)]. 4828 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(66,a,4320,a(flip),b,4813,a),flip(a)]. 4829 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3224(a,1),4813(a,2,2))]. 4830 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(66,a,640,a(flip),b,4820,a),flip(a)]. 4831 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2933(a,2),4820(a,1,2,1))]. 4832 x / T(1 / y,y * x) = (1 / y) \ x. [para(4821(a,1),4219(a,1,2))]. 4833 K((x \ 1) * y,x \ y) = 1. [hyper(58,a,4830,a)]. 4834 T(1 / x,x * y) = ((1 / x) \ y) \ y. [hyper(180,a,4832,a),flip(a)]. 4835 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4834(a,1),686(a,1,1))]. 4836 R(((1 / x) \ y) \ y,x,y) != z \ y | x * y = z. [para(4835(a,2),51(a,1))]. 4837 R((x * ((1 / y) * (y / x))) \ x,(1 / y) * (y / x),x) = (((1 / y) * (y / x)) * x) \ x. [para(2782(a,1),4835(a,1,1,1))]. 4839 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(66,a,3657,a(flip),b,4776,a)]. 4840 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3737,a,4782,a),flip(a)]. 4842 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2409(a,2),4782(a,1,2))]. 4843 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2863,a,4784,a)]. 4844 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2416,a,4784,a)]. 4846 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(4784(a,1),2411(a,2)),flip(b)]. 4847 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4784(a,1),3657(a,1,1))]. 4848 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4784(a,1),3699(a,1,1))]. 4849 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4784(a,1),4782(a,1,2))]. 4850 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1103(a,1),4785(a,1,2)),flip(a)]. 4851 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2863,a,4850,a)]. 4852 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2416,a,4850,a)]. 4853 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3729(a,1),4850(a,1,2))]. 4854 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4851(a,1),4807(a,1,2))]. 4855 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [hyper(124,a,4854,a(flip),b,27,a(flip))]. 4856 T(x,x \ (y \ 1)) * (x \ (1 / y)) = x * ((1 / y) / x). [para(4854(a,1),3968(a,1,1))]. 4858 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(285,a,2409,a,b,4790,a),flip(a)]. 4859 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(66,a,3698,a,b,4790,a)]. 4861 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(445,a,4797,a)]. 4864 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,3127,a,b,4861,a)]. 4867 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(285,a,2398,a,b,4799,a),flip(a)]. 4869 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2862,a,4839,a)]. 4870 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(380,a,4839,a),flip(a)]. 4874 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4839(a,1),4790(a,1,2))]. 4875 K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z. [para(4870(a,1),3646(a,1,1)),flip(a)]. 4876 L(x,y,z \ K(u \ 1,u)) = L(x,y,z \ 1). [para(4870(a,1),3911(a,1,3))]. 4877 K(x \ 1,x) * (y * (z \ 1)) = y * (z \ K(x \ 1,x)). [para(4870(a,1),4839(a,2,2))]. 4878 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2646(a,1),4843(a,1,2,2))]. 4879 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2685(a,1),4843(a,1,2,2))]. 4880 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2854(a,1),4843(a,1,2,2))]. 4881 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2941(a,1),4843(a,1,2,2))]. 4882 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4844(a,1),456(a,1,1))]. 4883 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(66,a,3698,a,b,4858,a)]. 4884 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(66,a,3716,a(flip),b,4858,a),flip(a)]. 4885 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4858(a,2),2412(a,1))]. 4886 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2654(a,1),4858(a,1,2)),flip(a)]. 4887 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(2861(a,1),4859(a,1,1)),flip(a)]. 4888 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2975(a,1),4859(a,1,1)),flip(a)]. 4889 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3639(a,1),4859(a,1,1)),flip(a)]. 4890 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2398(a,1),4867(a,1,2))]. 4891 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(66,a,3634,a,b,4880,a)]. 4893 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2830(a,1),4883(a,1,1)),flip(a)]. 4894 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2888(a,1),4883(a,1,1)),flip(a)]. 4895 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3754(a,1),4883(a,1,1)),flip(a)]. 4896 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(23(a,2),4890(a,2,2))]. 4897 L(x,K(y,y \ 1),z) = x. [hyper(445,a,4891,a)]. 4899 a(x,K(y,y \ 1),z) = 1. [hyper(56,a,4897,a)]. 4900 L(x,y * (1 / y),z) = x. [para(1903(a,1),4897(a,1,2))]. 4902 L(x,y * (1 / y),z) != u | u = x. [para(4900(a,1),53(a,1)),flip(a)]. 4903 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(66,a,3739,a,b,4822,a)]. 4904 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(66,a,4517,a,b,4826,a)]. 4905 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(124,a,4826,a(flip),b,4517,a),flip(a)]. 4906 (x \ T(x * (y / x),z)) * x = T(y,z). [hyper(136,a,4904,a(flip))]. 4907 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4904(a,1,2,1,2)),flip(a)]. 4908 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(87(a,1),4904(a,1,2,1,2))]. 4911 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4338(a,1),4904(a,1,2,1))]. 4912 x * (T(y * x,z) / x) = T(x * y,z). [para(16(a,1),4905(a,1,1,2)),flip(a)]. 4913 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(87(a,1),4905(a,1,1,2)),flip(a)]. 4914 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(118(a,1),4905(a,2,2,1))]. 4918 T(x * (y / x),K(z,y)) = x * (y / x). [para(3185(a,1),4905(a,2,2,1))]. 4919 T(x * (y / x),K(y,z)) = x * (y / x). [para(3348(a,1),4905(a,2,2,1))]. 4920 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4123(a,1),4905(a,2,2,1))]. 4921 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4905(a,2),4021(a,1,1,2))]. 4922 (x \ T(x * y,z)) * x = T(y * x,z). [para(16(a,1),4906(a,1,1,2,1,2))]. 4923 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(900,a,4907,a)]. 4926 T((x \ y) * x,z) / x = x \ T(y,z). [para(15(a,1),4907(a,2,2,1))]. 4927 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4907(a,1),118(a,1,1))]. 4929 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(4599(a,1),4918(a,1,2))]. 4930 T(K(x,y),z * (x / z)) = K(x,y). [hyper(57,a,4919,a)]. 4932 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(15(a,1),4922(a,1,1,2,1)),flip(a)]. 4935 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4926(a,1),236(a,1,1)),flip(b)]. 4938 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(285,a,3898,a,b,4932,a)]. 4940 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [hyper(124,a,4932,a(flip),b,27,a(flip))]. 4941 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4932(a,2),47(a,1))]. 4942 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(118(a,1),4932(a,2,1,2))]. 4943 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4932(a,2),98(a,1,1))]. 4946 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [hyper(124,a,4914,a(flip),b,27,a(flip)),flip(a)]. 4947 x * (y * ((x \ z) / y)) != u | (y * ((z / x) / y)) * x = u. [para(4914(a,1),263(a,1,2))]. 4949 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(66,a,3902,a(flip),b,4940,a),flip(a)]. 4950 T(1 / x,(y \ x) * y) = x \ 1. [hyper(224,a,3902,a(flip),b,4940,a(flip))]. 4952 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(118(a,1),4940(a,1,2,1,2)),flip(a)]. 4953 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(117(a,1),4940(a,1,2,1,2))]. 4954 T(1 / (x * y),y * x) = (x * y) \ 1. [para(14(a,1),4950(a,1,2,1))]. 4955 (1 / (x * y)) * (y * x) = (y * x) * ((x * y) \ 1). [hyper(124,a,4954,a(flip),b,27,a(flip)),flip(a)]. 4957 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(254,a,4942,a)]. 4958 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (1 / x),y)) * x. [para(4942(a,1),921(a,1,2))]. 4959 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3213(a,1),4935(a,1,1,2))]. 4961 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [hyper(124,a,1034,a(flip),b,4908,a),flip(a)]. 4962 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4566(a,1),4911(a,1,1))]. 4963 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4913(a,1),304(a,1,2)),flip(b)]. 4964 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(285,a,4905,a,b,4920,a),flip(a)]. 4965 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(124,a,414,a(flip),b,4923,a(flip)),flip(a)]. 4966 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(123,a,4923,a(flip),b,1351,a),flip(a)]. 4967 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(14(a,1),4946(a,2,2,2,1))]. 4968 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(203(a,2),4946(a,2,2,2,1))]. 4969 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(66,a,4700,a(flip),b,4949,a),flip(a)]. 4970 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(285,a,4581,a(flip),b,4969,a),flip(a)]. 4971 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4970(a,1),3904(a,2,2))]. 4972 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1693,a,4952,a),flip(a)]. 4973 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(66,a,464,a,b,4952,a)]. 4974 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(116(a,2),4952(a,2,2)),flip(a)]. 4975 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(205(a,2),4952(a,1,1,1,2))]. 4976 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(14(a,1),4957(a,1,1,2,1,2))]. 4977 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(66,a,4304,a,b,4964,a)]. 4978 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4965(a,2,2,2))]. 4980 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(66,a,4194,a(flip),b,4976,a),flip(a)]. 4981 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3022(a,1),4829(a,1,2))]. 4983 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) = K(y \ 1,y). [hyper(195,a,4875,a)]. 4984 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) != z | K(y \ 1,y) = z. [para(4875(a,1),195(a,1)),flip(b)]. 4985 ((K(x \ 1,x) / y) \ 1) \ 1 = y \ K(x \ 1,x). [hyper(318,a,4983,a),flip(a)]. 4986 (K(x \ 1,x) / y) \ 1 = K(x,x \ 1) * y. [hyper(42,a,3733,a,b,4985,a),flip(a)]. 4987 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ K(z \ 1,z)). [para(4985(a,1),3668(a,1,3)),flip(a)]. 4988 (K(x \ 1,x) / (y * x)) * (y * ((x \ 1) \ 1)) = 1. [hyper(124,a,2830,a(flip),b,4986,a)]. 4989 L(x,(y * ((z \ 1) \ 1)) / x,K(z \ 1,z) / (y * z)) = ((K(z \ 1,z) / (y * z)) * ((y * ((z \ 1) \ 1)) / x)) \ 1. [para(4988(a,1),107(a,2,2))]. 4990 (K(x \ 1,x) / y) * (z \ 1) = (1 / y) * (z \ K(x \ 1,x)). [hyper(66,a,3713,a(flip),b,4877,a)]. 4991 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4881(a,1),4807(a,1,2)),flip(a)]. 4992 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(87(a,1),4991(a,1,2,2,1)),flip(a)]. 4993 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3646(a,1),4991(a,1,2)),flip(a)]. 4994 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4887(a,1),3933(a,1,1)),flip(a)]. 4995 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2863,a,4888,a)]. 4996 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4889(a,1),4844(a,2,2))]. 4997 T(x,y * (((((1 / z) \ 1) * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(4889(a,2),4992(a,1,2,2,1,1))]. 4998 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(4893(a,1),4809(a,1,2))]. 4999 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(90(a,1),4998(a,1,2,1,2,1)),flip(a)]. 5000 T(x,((y \ 1) * y) \ z) = T(x,z). [para(161(a,1),4998(a,1,2)),flip(a)]. 5001 T((x \ y) * x,y \ 1) != z * ((x \ y) * x) | K(y,y \ 1) = z. [para(4938(a,1),47(a,1))]. 5002 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(66,a,830,a,b,4974,a)]. 5003 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ 1). [hyper(285,a,4876,a(flip),b,4987,a),flip(a)]. 5005 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4818(a,1),47(a,1))]. 5008 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4827(a,1),4615(a,1,2)),flip(a)]. 5009 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(123,a,4847,a(flip),b,112,a)]. 5010 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(66,a,3726,a(flip),b,4848,a),flip(a)]. 5011 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(124,a,4849,a,b,2857,a)]. 5012 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(66,a,2941,a(flip),b,4853,a)]. 5013 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(285,a,3139,a(flip),b,5012,a),flip(a)]. 5015 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4874(a,1),2450(a,1))]. 5016 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(66,a,4799,a(flip),b,4903,a)]. 5017 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4978(a,1,1,2,2))]. 5019 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(5017(a,2),46(a,1))]. 5020 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2850(a,1),5011(a,1,2,2)),flip(a)]. 5021 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2398(a,1),5020(a,1,2))]. 5022 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4113(a,1),5016(a,1,1)),flip(a)]. 5023 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(285,a,2398,a,b,5022,a),flip(a)]. 5026 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5023(a,2),46(a,1))]. 5028 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,4617,a(flip),b,4921,a),flip(a)]. 5029 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),4788(a,1,2))]. 5030 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),4896(a,1,2))]. 5031 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3759(a,1),4973(a,1,1))]. 5032 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),5029(a,1,2,2))]. 5033 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),5030(a,1,2,2))]. 5034 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(447,a,5032,a)]. 5035 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(285,a,2409,a,b,5034,a),flip(a)]. 5036 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2409(a,2),5035(a,1,1))]. 5037 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(447,a,5033,a)]. 5038 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(285,a,2398,a(flip),b,5037,a),flip(a)]. 5039 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1963(a,1),5037(a,1,1)),flip(a)]. 5040 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5037(a,2),2982(a,1,2))]. 5041 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(66,a,2101,a(flip),b,5039,a)]. 5042 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(117(a,1),5041(a,2,1))]. 5043 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(128,a,5042,a)]. 5044 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(66,a,1978,a,b,5043,a)]. 5045 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2167,a,5044,a)]. 5046 L(x,y,z) / x = x \ L(x,y,z). [hyper(135,a,5045,a)]. 5047 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(128,a,5045,a)]. 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5047(a,1),419(a,1,2,1)),flip(a)]. 5053 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1889(a,1),5038(a,1,1)),flip(a)]. 5054 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5038(a,2,2))]. 5055 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5053(a,1),3681(a,1,1))]. 5056 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(122,a,5052,a(flip),b,996,a)]. 5057 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(243(a,2),4966(a,2,1,2,1,2))]. 5058 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2977(a,1),5040(a,1,2,1))]. 5059 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(66,a,947,a(flip),b,5058,a),flip(a)]. 5060 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(136,a,5059,a)]. 5061 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(17(a,1),5059(a,1,1,1)),flip(a)]. 5062 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(15(a,1),5060(a,1,1,2,1)),flip(a)]. 5063 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(138,a,5061,a),flip(a)]. 5064 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5062(a,1),30(a,2,1))]. 5065 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(452(a,1),5062(a,2,1,2))]. 5066 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(453(a,1),5062(a,2,1,2))]. 5067 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1880(a,1),5063(a,2,2,1))]. 5068 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(285,a,4929,a,b,5067,a)]. 5069 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(15(a,1),5065(a,2,1,2))]. 5070 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(66,a,4971,a(flip),b,5066,a),flip(a)]. 5071 x * (y \ (x / (x / y))) = (y \ x) * y. [para(160(a,1),5070(a,1,1,2)),flip(a)]. 5072 x \ (y / (y / x)) = K(x \ y,x). [hyper(37,a,271,a,b,5071,a),flip(a)]. 5073 x / (x / y) = y * K(y \ x,y). [hyper(138,a,5072,a),flip(a)]. 5074 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [hyper(124,a,4558,a(flip),b,5072,a),flip(a)]. 5075 (x * y) / ((x * y) / x) = x * K(y,x). [hyper(124,a,625,a(flip),b,5072,a),flip(a)]. 5076 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(66,a,4970,a,b,5072,a)]. 5077 ((x \ y) * x) / y = K(x \ y,x). [hyper(66,a,4581,a,b,5072,a)]. 5078 x / (y * (x / y)) = K(y \ x,y). [hyper(66,a,4261,a,b,5072,a)]. 5082 (x / y) * K(y \ x,y) = y \ x. [hyper(124,a,5072,a(flip),b,3800,a)]. 5083 (1 / x) \ K(y \ x,y) = (y \ x) * y. [hyper(122,a,5072,a(flip),b,4970,a)]. 5085 T(K(x \ y,x),y) = K(x \ y,x). [para(5072(a,1),4043(a,1,1))]. 5087 (x * K(x \ y,x)) \ y = y / x. [hyper(180,a,5073,a)]. 5091 (x * y) * K((x * y) \ y,x * y) = y / R(1 / x,x,y). [para(205(a,2),5073(a,1,2)),flip(a)]. 5093 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(404(a,1),5073(a,2,2,1))]. 5096 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5073(a,1),596(a,1,1,1))]. 5097 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5073(a,1),4273(a,1,1))]. 5098 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5073(a,2),4409(a,1,1))]. 5101 K(x \ y,x) * y = (x \ y) * x. [hyper(136,a,5077,a)]. 5102 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(66,a,4700,a,b,5077,a)]. 5104 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(5077(a,1),2836(a,1,1))]. 5106 K(x \ y,x) * (x * (y / x)) = y. [hyper(136,a,5078,a)]. 5107 K(x \ 1,x) * K(y \ (1 / x),y) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),3676(a,1,2))]. 5108 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5078(a,1),4906(a,1,1,2,1,2))]. 5110 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4658(a,1),5082(a,1,2))]. 5111 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(285,a,5077,a,b,5085,a)]. 5113 (x * ((y \ z) * y)) * a(x,K(y \ z,y),z) = (x * K(y \ z,y)) * z. [para(5101(a,1),93(a,1,1,2))]. 5114 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5101(a,1),2182(a,2,2))]. 5115 K(x \ y,x) * (y / x) = x \ y. [hyper(122,a,5106,a(flip),b,4427,a(flip)),flip(a)]. 5119 K(x,y) = T(y,x) \ y. [hyper(3836,a,5075,a),flip(a)]. 5120 K(x,y) = (x * y) / (y * x). [hyper(285,a,4034,a,b,5119,a),flip(a)]. 5121 K(x,y) = ((y * x) / y) \ x. [hyper(285,a,3779,a,b,5119,a),flip(a)]. 5122 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(285,a,3252,a,b,5119,a),flip(a)]. 5123 K(x,y) = y / T(y,x). [hyper(285,a,3170,a,b,5119,a),flip(a)]. 5124 K(x,y) = y * (T(y,x) \ 1). [hyper(285,a,1000,a,b,5119,a),flip(a)]. 5125 K(x,y) = x \ T(x,y). [hyper(285,a,4101,a(flip),b,5119,a),flip(a)]. 5126 x * T(x \ 1,y) = K(x \ 1,y). [hyper(285,a,4092,a(flip),b,5119,a)]. 5128 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(124,a,5119,a,b,3252,a)]. 5129 x / (x / y) = y * K(x / y,y). [hyper(124,a,5119,a,b,4102,a(flip)),flip(a)]. 5130 T(x,y) = x * K(x,y). [hyper(124,a,5119,a,b,4101,a(flip)),flip(a)]. 5131 T(x,y) * K(y,x) = x. [hyper(124,a,5119,a,b,xx)]. 5132 K(x,y) / y = 1 / T(y,x). [hyper(123,a,5119,a,b,3169,a)]. 5133 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(122,a,5119,a,b,2437,a)]. 5134 T(x,y) \ 1 = x \ K(y,x). [hyper(122,a,5119,a,b,1000,a),flip(a)]. 5135 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(122,a,5119,a,b,4092,a(flip))]. 5136 T(x,y) = x / K(y,x). [hyper(185,a,5119,a(flip)),flip(a)]. 5137 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(32(a,2),5119(a,2,1)),flip(a)]. 5138 K(x,y) != z \ y | T(y,x) = z. [para(5119(a,2),51(a,1))]. 5142 T(x,y) = K(y,x) \ x. [para(5119(a,2),3168(a,1,1)),flip(a)]. 5143 K(x,y) * T(y,x) = y. [para(5119(a,2),3171(a,1,1))]. 5144 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5119(a,2),3393(a,1,1))]. 5145 K(x,y) * ((y * x) / y) = x. [para(5119(a,2),3775(a,1,1))]. 5146 K(x,y) * (y * x) = x * y. [para(5119(a,2),4032(a,1,1))]. 5148 K(x,y) = T(y,T(x,y)) \ y. [para(4105(a,2),5119(a,2,1))]. 5149 (x * y) / x = y * K(x,y). [para(5119(a,2),4104(a,2,2))]. 5150 T(x * K(y,x),y) = x. [para(5119(a,2),4198(a,1,1,2))]. 5152 x * (K(x,y) * z) = T(x,y) * z. [para(5119(a,2),4107(a,1,2,1))]. 5153 T(x,y) * (x \ z) = K(x,y) * z. [para(5119(a,2),4108(a,2,1))]. 5154 K(x / y,z) * x = y * T(y \ x,z). [para(5119(a,2),4262(a,1,1))]. 5156 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5119(a,2),4099(a,1,2)),flip(a)]. 5157 x * (T(x,y) \ z) = K(y,x) * z. [para(5119(a,2),4498(a,1,1)),flip(a)]. 5158 K(x,y) * (T(y,x) * z) = y * z. [para(5119(a,2),4499(a,1,1))]. 5159 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(28(a,1),5123(a,2,2)),flip(a)]. 5160 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(30(a,2),5123(a,2,2)),flip(a)]. 5161 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(32(a,2),5123(a,2,2)),flip(a)]. 5162 K(x,y) \ y != z | T(y,x) = z. [para(5123(a,2),307(a,1,1)),flip(b)]. 5164 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(285,a,3854,a,b,5125,a)]. 5166 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(285,a,3773,a,b,5125,a)]. 5167 K(x,y) = y \ ((x * y) / x). [hyper(285,a,3768,a,b,5125,a),flip(a)]. 5168 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(285,a,3269,a,b,5125,a),flip(a)]. 5169 K(x,y) = T(x,y) / x. [hyper(285,a,3266,a,b,5125,a),flip(a)]. 5170 K(x,y) = T(x,y) * (x \ 1). [hyper(285,a,886,a,b,5125,a),flip(a)]. 5171 x * T(x \ 1,y) = K(1 / x,y). [hyper(285,a,891,a(flip),b,5125,a)]. 5174 T(x,y) \ K(x,y) = x \ 1. [hyper(122,a,5125,a,b,886,a)]. 5177 (1 / x) * K(x \ 1,y) = T(1 / x,y). [hyper(124,a,3339,a(flip),b,5125,a(flip))]. 5178 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(30(a,2),5125(a,2,2)),flip(a)]. 5179 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(32(a,2),5125(a,2,2)),flip(a)]. 5180 x * K(x,y) != z | T(x,y) = z. [para(5125(a,2),240(a,1,2)),flip(b)]. 5185 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5125(a,2),1141(a,1,1))]. 5186 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1. [para(5125(a,2),1422(a,1,2))]. 5187 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5125(a,2),1804(a,1,2))]. 5188 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(2771(a,1),5125(a,2,2)),flip(a)]. 5189 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2788(a,1),5125(a,2,2))]. 5190 T(x,y) = K(x,y) * x. [para(5125(a,2),3267(a,1,1)),flip(a)]. 5191 (x * K(y,x)) * y = y * x. [para(5125(a,2),3765(a,1,1,2))]. 5192 (x * y) / x = K(x,y) * y. [para(5125(a,2),3772(a,1,1)),flip(a)]. 5193 (x \ y) * K(x,x \ y) = y / x. [para(5125(a,2),3767(a,1,2))]. 5196 x * (T(x,y) \ z) = K(x,y) \ z. [para(5125(a,2),3958(a,1,1)),flip(a)]. 5197 K(x,x \ y) * y = x * (y / x). [para(5125(a,2),4013(a,1,1))]. 5200 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4273(a,1),5125(a,2,2)),flip(a)]. 5201 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4303(a,2),5125(a,2,2)),flip(a)]. 5202 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(123,a,5130,a,b,93,a)]. 5203 (x * y) * K(x * y,T(y,x)) = T(x * y,y). [hyper(66,a,4180,a(flip),b,5130,a),flip(a)]. 5204 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,2773,a(flip),b,5130,a),flip(a)]. 5207 T(x,y) != x * z | K(x,y) = z. [para(5130(a,2),46(a,1))]. 5208 x \ T(x,y) != z | K(x,y) = z. [para(5130(a,2),304(a,1,2)),flip(b)]. 5209 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5130(a,2),113(a,2,1))]. 5212 (x * y) \ (x * T(y,z)) != u | L(K(y,z),y,x) = u. [para(5130(a,2),447(a,1,2,2))]. 5213 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5130(a,2),475(a,2,2))]. 5215 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5130(a,2),947(a,2,2,1))]. 5216 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5130(a,2),1152(a,1,2)),flip(a)]. 5217 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(5130(a,2),1245(a,1,2)),flip(a)]. 5218 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5130(a,1),3036(a,2,2))]. 5219 K(x,y) * (x * z) = T(x,y) * z. [para(5130(a,2),4071(a,1,1)),flip(a)]. 5220 x * (y * K(x,y)) = T(x,y) * y. [para(5130(a,2),4454(a,1,1)),flip(a)]. 5221 x * K(R(x,y,z),x) = x. [para(168(a,1),5131(a,1,1))]. 5223 T(x,y) \ x != z | K(y,x) = z. [para(5131(a,1),304(a,1,2)),flip(b)]. 5226 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(598(a,1),5131(a,1,1))]. 5227 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5131(a,1),2323(a,1,1,1)),flip(a)]. 5228 T(x,y) * (K(y,x) * z) = x * z. [para(5131(a,1),4419(a,1,1)),flip(a)]. 5230 T(x,y) != x / z | K(y,x) = z. [para(5136(a,2),48(a,1))]. 5231 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5136(a,2),1414(a,1,1)),flip(a)]. 5232 T(x,y) = (K(y,x) / x) \ 1. [hyper(285,a,4672,a,b,5142,a),flip(a)]. 5233 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(285,a,4260,a,b,5142,a)]. 5234 K(x,y / x) * (x \ y) = y / x. [hyper(124,a,118,a(flip),b,5142,a(flip))]. 5235 x / T(x,y) != z | K(y,x) = z. [para(5142(a,2),297(a,1,2)),flip(b)]. 5236 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5142(a,2),2315(a,1,2,1))]. 5237 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(728,a,5150,a),flip(a)]. 5238 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(426,a,5150,a)]. 5239 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(43,a,4114,a,b,5150,a)]. 5240 T(T(x * K(y,x),z),y) = T(x,z). [para(5150(a,1),28(a,1,1)),flip(a)]. 5241 (x * y) / x != z | y * K(x,y) = z. [para(5150(a,1),298(a,1,1,2)),flip(b)]. 5242 T(x * K(y,x),z) * y = y * T(x,z). [para(5150(a,1),221(a,1,2,1)),flip(a)]. 5243 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5150(a,1),252(a,1,1,2,1)),flip(a)]. 5244 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5150(a,1),222(a,1,2,1)),flip(a)]. 5245 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5150(a,1),223(a,1,2,1)),flip(a)]. 5246 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5150(a,1),662(a,1,1)),flip(a)]. 5248 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5150(a,1),415(a,1,2,1,1)),flip(a)]. 5249 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(5150(a,1),591(a,1,2,1,1)),flip(a)]. 5250 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5150(a,1),1509(a,1,1)),flip(a)]. 5251 T(K(x,y) * y,x) = y. [para(3186(a,2),5150(a,1,1))]. 5252 T(x \ K(y,x \ 1),y) = x \ 1. [para(3224(a,1),5150(a,1,1))]. 5253 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5150(a,1),4547(a,1,3)),flip(a)]. 5254 K(x,y) = (1 / x) * T(x,y). [hyper(285,a,903,a,b,5169,a),flip(a)]. 5255 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(123,a,5169,a,b,898,a),flip(a)]. 5256 T(x,y) = (1 / x) \ K(x,y). [hyper(122,a,5169,a,b,903,a),flip(a)]. 5258 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(32(a,2),5169(a,2,1)),flip(a)]. 5259 K(x,y) * x != z | T(x,y) = z. [para(5169(a,2),236(a,1,1)),flip(b)]. 5265 K((x \ y) * x,y \ 1) = K(y,y \ 1). [hyper(5001,a,5190,a),flip(a)]. 5266 K(x,x \ y) * x = T(x,y / x). [hyper(4223,a,5190,a),flip(a)]. 5268 K(x / y,y) * (x / y) = y \ x. [hyper(630,a,5190,a),flip(a)]. 5269 T(x,y) / (y \ x) = y * K(x,y). [hyper(123,a,5190,a,b,4425,a)]. 5271 K(x,y) * (y \ x) = y \ T(x,y). [hyper(122,a,5190,a,b,4428,a),flip(a)]. 5272 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(66,a,30,a,b,5190,a),flip(a)]. 5273 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(66,a,28,a,b,5190,a),flip(a)]. 5274 x * (K(y,x) * y) = y * x. [hyper(124,a,5190,a(flip),b,27,a(flip))]. 5279 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5190(a,2),216(a,1,1))]. 5280 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5190(a,2),499(a,1,1))]. 5281 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5190(a,2),447(a,1,2,2))]. 5282 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5190(a,2),475(a,2,2))]. 5283 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5190(a,2),563(a,1,2))]. 5284 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5190(a,2),644(a,1,1))]. 5285 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5190(a,2),646(a,1,1))]. 5286 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5190(a,2),1505(a,2,1,1))]. 5287 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5190(a,2),1628(a,1,1))]. 5289 K(R(x,y,z),x) = 1. [hyper(126,a,5221,a),flip(a)]. 5291 T(x * y,K(y,x)) = x * y. [hyper(382,a,5120,a(flip))]. 5292 x / ((y \ x) * y) = K(y,y \ x). [para(15(a,1),5120(a,2,1)),flip(a)]. 5293 K(x,y) * (y * x) = (x * y) * 1. [para(5120(a,2),157(a,1,1))]. 5294 K(x,x \ y) * ((x \ y) * x) = y. [para(5120(a,2),92(a,1,1))]. 5296 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5120(a,2),837(a,1,1,1))]. 5297 K(x,y) != z | T(y,x) \ y = z. [para(5120(a,2),4036(a,1))]. 5298 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5124(a,2),104(a,1,2,2)),flip(a)]. 5300 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5132(a,2),2381(a,1,2)),flip(a)]. 5301 K(x,y) \ (1 / T(y,x)) = 1 / y. [para(5132(a,1),4693(a,1,2))]. 5302 T(x,y) = 1 / (x \ K(y,x)). [hyper(185,a,5134,a),flip(a)]. 5303 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(117(a,1),5134(a,1,1))]. 5304 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5134(a,1),297(a,1,2)),flip(b)]. 5306 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5134(a,1),1830(a,1,2,1))]. 5307 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5134(a,2),3495(a,2,1))]. 5309 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(103(a,1),5145(a,1,2,1))]. 5310 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(93(a,1),5145(a,1,2,1))]. 5312 K(x,y / x) * y = x * (y / x). [para(17(a,1),5146(a,1,2))]. 5313 x * (y * z) != z * y | K(z,y) = x. [para(5146(a,1),47(a,1)),flip(a)]. 5314 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),5146(a,1,2))]. 5315 (x * (y * x)) / (x * y) = x * K(y,x). [para(5146(a,1),4411(a,1,1,2))]. 5316 K(T(x,y),y) = K(x,y). [hyper(285,a,5119,a,b,5148,a)]. 5317 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5148(a,2),4728(a,1,1))]. 5318 K(x,y / x) = K(x,x \ y). [hyper(4471,a,5316,a)]. 5319 K(x,T(y,x)) = K(x,y). [hyper(4460,a,5316,a),flip(a)]. 5320 K(x,y) \ 1 = K(y,x). [hyper(66,a,4447,a(flip),b,5316,a)]. 5321 K(x,y) * K(y,x) = 1. [hyper(124,a,5316,a(flip),b,4447,a(flip))]. 5322 K(x \ (y * x),x) = K(y,x). [para(27(a,1),5316(a,1,1))]. 5323 K(x / y,y) = K(y \ x,y). [para(118(a,1),5316(a,1,1)),flip(a)]. 5325 K(T(x,x * y),y) = K(L(x,y,x),y). [para(664(a,1),5316(a,1,1))]. 5326 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(603(a,1),5316(a,1,1))]. 5327 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(726(a,1),5316(a,1,1)),flip(a)]. 5328 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(718(a,1),5316(a,1,1)),flip(a)]. 5329 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(981(a,1),5316(a,1,1)),flip(a)]. 5330 K(x \ (y * L(x,z,u)),x) = K((y / x) * L(x,z,u),x). [para(1568(a,1),5316(a,1,1))]. 5331 K(x,y) \ x = x * K(y,x). [para(5316(a,1),4457(a,1,2)),flip(a)]. 5332 K(x,y) \ 1 != z | K(y,x) = z. [para(5316(a,1),4455(a,1,1))]. 5333 L(x,K(y,z),K(z,y)) = x. [para(5316(a,1),4543(a,1,3))]. 5334 K(x,y) \ z = K(y,x) * z. [para(5316(a,1),4544(a,1,1)),flip(a)]. 5335 K(x * K(y,x),y) = K(x,y). [para(5150(a,1),5316(a,1,1)),flip(a)]. 5336 K(x,x \ (y * x)) = K(x,y). [para(27(a,1),5319(a,1,2))]. 5337 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(28(a,1),5319(a,1,2))]. 5338 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(30(a,2),5319(a,1,2))]. 5339 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(117(a,1),5319(a,1,2))]. 5340 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(231(a,1),5319(a,1,2)),flip(a)]. 5341 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(233(a,1),5319(a,1,2)),flip(a)]. 5342 K(x,y * K(x,y)) = K(x,y). [para(5150(a,1),5319(a,1,2)),flip(a)]. 5344 1 / K(x,y) = K(y,x). [hyper(185,a,5320,a)]. 5345 x / (x * K(y,x)) = K(x,y). [hyper(66,a,4545,a,b,5320,a)]. 5346 (x * K(y,x)) \ x = K(x,y). [hyper(66,a,3555,a,b,5320,a)]. 5347 K(x,y) != z \ 1 | K(y,x) = z. [para(5320(a,1),51(a,1))]. 5348 x * (K(y,z) * K(z,y)) = x. [para(5320(a,1),82(a,1,2,2))]. 5349 x * K(y,z) != 1 | K(z,y) = x. [para(5320(a,1),134(a,1,2)),flip(b)]. 5350 1 / K(x,y) != z | K(y,x) = z. [para(5320(a,1),297(a,1,2)),flip(b)]. 5355 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5320(a,1),1715(a,2,2,1))]. 5356 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5320(a,1),1744(a,1,1,2,2,1)),flip(a)]. 5357 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5320(a,1),1799(a,2,1,2,1))]. 5359 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5320(a,1),4426(a,2,2))]. 5360 K(x,y) * (K(y,x) * z) = z. [para(5320(a,1),4536(a,1,1))]. 5361 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(5320(a,1),4542(a,1,1))]. 5362 1 / (x \ K(x,y)) = x * K(y,x). [hyper(123,a,5321,a(flip),b,4425,a)]. 5364 K(x,y) * z != 1 | K(y,x) = z. [para(5321(a,1),46(a,1)),flip(a)]. 5365 x * (K(y,z) * K(z,y)) != u | x = u. [para(5321(a,2),133(a,1,2))]. 5366 L(x,K(y,z),K(z,y)) != u | x = u. [para(5333(a,1),53(a,2))]. 5367 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4281,a,5149,a),flip(a)]. 5368 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3863,a,5149,a)]. 5370 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(124,a,5149,a,b,14,a)]. 5371 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(66,a,1573,a,b,5149,a)]. 5372 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(66,a,4392,a(flip),b,5149,a),flip(a)]. 5373 x \ T(x * y,y) = y * K(x * y,y). [hyper(66,a,3994,a(flip),b,5149,a)]. 5374 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(124,a,5149,a(flip),b,90,a)]. 5375 T(x,y) \ (y * K(x,y)) = x \ y. [hyper(122,a,5149,a(flip),b,3964,a)]. 5376 (x * y) / x != y * z | K(x,y) = z. [para(5149(a,2),46(a,1))]. 5377 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5149(a,1),298(a,1))]. 5378 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(112(a,1),5149(a,1,1))]. 5379 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5149(a,1),113(a,1,1))]. 5381 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5149(a,2),463(a,1,2))]. 5382 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5149(a,1),488(a,1,1))]. 5383 T(x * K(y,x),x * y) = L(x,y,x). [para(5149(a,1),670(a,1,1))]. 5384 (x * (y * z)) / L(y,z * K(y,z),x) = x * ((y * z) / y). [para(5149(a,1),499(a,1,2,2))]. 5385 T(x * K(y * x,x),y) = R(x,y,x). [para(5149(a,1),713(a,2,1)),flip(a)]. 5386 T((x / y) * K(z,x / y),y) = (z * (y \ x)) / z. [para(5149(a,1),638(a,1,1))]. 5387 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5149(a,1),779(a,1,1))]. 5388 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5149(a,1),783(a,1,1))]. 5389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5149(a,2),95(a,1,2))]. 5390 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(931(a,1),5149(a,1,1))]. 5391 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(5149(a,1),1035(a,1,1))]. 5392 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5149(a,1),780(a,1,1))]. 5393 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5149(a,1),1331(a,2,1,2))]. 5394 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(5149(a,1),1523(a,1,1))]. 5395 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1551(a,1),5149(a,1,1))]. 5396 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5149(a,1),1574(a,2,1)),flip(a)]. 5397 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1614(a,1),5149(a,1,1))]. 5398 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1661(a,1),5149(a,1,1))]. 5399 L(x,y,x * K(y,x)) = L(x,y,x). [para(5149(a,1),4227(a,1,3))]. 5400 T(x * K(y,x),y * x) = L(x,y,x). [para(5149(a,1),4230(a,1,1))]. 5401 ((x \ 1) * y) * K(((x \ 1) * y) \ y,(x \ 1) * y) = (x * (y / x)) / (((x \ 1) * y) \ y). [para(4393(a,1),5149(a,1,1)),flip(a)]. 5402 ((x * y) / x) * z = y * (K(x,y) * z). [para(5149(a,2),4409(a,1,1))]. 5404 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5149(a,1),4527(a,1,1))]. 5405 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(5149(a,1),4961(a,2,2)),flip(a)]. 5406 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5149(a,1),4980(a,1,1,2))]. 5407 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(122,a,5167,a,b,1304,a)]. 5408 (x \ y) \ (y / x) = K(x,x \ y). [para(15(a,1),5167(a,2,2,1)),flip(a)]. 5409 x * K(y,x) != z | (y * x) / y = z. [para(5167(a,2),240(a,1,2)),flip(b)]. 5410 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5167(a,2),303(a,1,2,2))]. 5411 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),1490(a,1,2)),flip(a)]. 5412 K(x,y) = x * (((y * x) / y) \ 1). [hyper(285,a,4263,a,b,5170,a),flip(a)]. 5413 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(122,a,5170,a,b,4263,a),flip(a)]. 5414 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(122,a,5170,a,b,116,a),flip(a)]. 5415 K(x \ 1,y) * K(x \ 1,x) = T(x \ 1,y) * x. [para(5170(a,2),2691(a,1,1))]. 5416 K(x,x \ 1) * K(x,y) = T(x,y) * (1 / x). [para(5170(a,2),2860(a,1,2))]. 5417 K(x \ 1,x) * ((T(x,y) * (1 / x)) * z) = K(x,y) * z. [para(5170(a,2),3709(a,2,1))]. 5418 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5320(a,1),5170(a,2,2)),flip(a)]. 5420 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5191,a),flip(a)]. 5421 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [hyper(38,a,2905,a(flip),b,5191,a),flip(a)]. 5422 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(5191(a,1),19(a,2,1,2)),flip(a)]. 5423 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3224(a,1),5191(a,1,1))]. 5424 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(123,a,875,a,b,5192,a(flip))]. 5425 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(123,a,3994,a(flip),b,5192,a(flip))]. 5426 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(122,a,756,a(flip),b,5192,a(flip))]. 5427 (x * K(y,z)) \ (x * ((y * z) / y)) = L(z,K(y,z),x). [para(5192(a,2),23(a,2,2,2)),flip(a)]. 5431 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5274(a,1),4588(a,1,1))]. 5432 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(636,a,5291,a)]. 5434 x \ (y * (x / y)) = K(y,y \ x). [hyper(66,a,99,a,b,5318,a)]. 5435 x * K(y,y \ x) = y * (x / y). [hyper(124,a,5318,a(flip),b,99,a)]. 5438 (x * (y / x)) \ y = K(x \ y,x). [hyper(66,a,100,a,b,5323,a)]. 5439 (x * (y / x)) * K(x \ y,x) = y. [hyper(124,a,5323,a(flip),b,100,a)]. 5443 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5331(a,1),105(a,1,1))]. 5444 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5331(a,1),4426(a,2,2))]. 5445 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(2234,a,5334,a)]. 5446 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(659,a,5334,a)]. 5447 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(285,a,3199,a,b,5334,a),flip(a)]. 5448 x / (K(y,z) * x) = K(z,y). [hyper(185,a,5334,a)]. 5449 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(122,a,5334,a,b,116,a)]. 5450 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(66,a,3652,a(flip),b,5334,a),flip(a)]. 5452 K(x,y) * z != u | K(y,x) * u = z. [para(5334(a,1),138(a,1))]. 5453 K(x,y) * (K(y,x) * z) != u | u = z. [para(5334(a,1),240(a,1,2))]. 5454 x / (K(y,z) * x) != u | K(z,y) = u. [para(5334(a,1),297(a,1,2)),flip(b)]. 5455 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5334(a,1),129(a,1,2))]. 5458 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5334(a,1),546(a,1,2))]. 5459 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5334(a,1),335(a,1,1,3))]. 5460 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(123,a,5348,a(flip),b,112,a(flip))]. 5461 L(x,K(y,z),K(z,y)) = K(u,w) * (K(w,u) * x) # label(flip_matches_hint). [hyper(285,a,5333,a,b,5360,a)]. 5462 (K(x,y) / y) / (K(z,u) * (1 / T(y,x))) = K(u,z). [hyper(123,a,5132,a,b,5360,a)]. 5463 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [hyper(124,a,5360,a(flip),b,176,a)]. 5464 K(x,y) \ z != u | K(y,x) * z = u. [para(5360(a,1),304(a,1,2)),flip(b)]. 5465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5360(a,1),442(a,1,1)),flip(a)]. 5467 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3193(a,2),5448(a,1,2))]. 5468 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5448(a,1),3718(a,1,2)),flip(a)]. 5473 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(30(a,2),5208(a,1,2))]. 5474 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(32(a,2),5208(a,1,2))]. 5476 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(662(a,2),5208(a,1,2))]. 5477 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3268(a,1),5208(a,1))]. 5478 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5334(a,1),5208(a,1))]. 5479 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(28(a,1),5235(a,1,2))]. 5490 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5122(a,2),105(a,1,1)),flip(a)]. 5491 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(839,a,5126,a)]. 5492 T(1 / x,y) * x = K(x \ 1,y). [hyper(423,a,5126,a)]. 5493 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(66,a,2299,a(flip),b,5126,a)]. 5494 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(66,a,2290,a(flip),b,5126,a)]. 5495 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(66,a,1262,a(flip),b,5126,a)]. 5497 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(124,a,5126,a(flip),b,1262,a(flip)),flip(a)]. 5498 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(122,a,5126,a(flip),b,830,a(flip))]. 5500 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5126(a,1),850(a,2,2))]. 5501 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5126(a,1),1126(a,1,1))]. 5502 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5126(a,1),1289(a,1,1))]. 5503 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5126(a,1),1357(a,2,1))]. 5504 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5126(a,1),1364(a,2,1))]. 5505 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5126(a,1),1344(a,1,2)),flip(a)]. 5506 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),1355(a,2,2))]. 5507 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5126(a,1),2121(a,2,1,2))]. 5512 (x * T(x \ (K((x / y) \ 1,z) * y),u)) / y = (x / y) * T(T((x / y) \ 1,z),u). [para(5135(a,1),1352(a,2,2,1))]. 5514 x \ (T(x,y) * z) = K(x,y) * z. [hyper(128,a,5152,a)]. 5515 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(122,a,5170,a,b,5152,a),flip(a)]. 5516 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(122,a,15,a(flip),b,5152,a),flip(a)]. 5517 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(37,a,4263,a,b,5152,a)]. 5518 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(37,a,1004,a,b,5152,a),flip(a)]. 5519 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(37,a,4325,a(flip),b,5152,a),flip(a)]. 5520 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(37,a,4323,a(flip),b,5152,a),flip(a)]. 5521 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5152(a,1),19(a,2,2,1)),flip(a)]. 5522 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2229(a,1),5152(a,1,2))]. 5523 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(863,a,5153,a)]. 5524 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(285,a,3355,a,b,5153,a),flip(a)]. 5525 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(135,a,5153,a)]. 5526 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(128,a,5153,a)]. 5527 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(122,a,5360,a(flip),b,5153,a),flip(a)]. 5529 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(66,a,5152,a,b,5153,a)]. 5530 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(66,a,5052,a(flip),b,5153,a)]. 5532 (x * y) / (T(x,z) * y) = K(z,x). [hyper(123,a,4510,a(flip),b,5153,a(flip))]. 5533 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(123,a,994,a(flip),b,5153,a(flip))]. 5534 K(x,y) \ (y * z) = T(y,x) * z. [hyper(122,a,4510,a(flip),b,5153,a(flip))]. 5535 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(122,a,5153,a(flip),b,5152,a)]. 5536 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(23(a,2),5153(a,1,2)),flip(a)]. 5537 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(5153(a,1),294(a,1,1)),flip(b)]. 5540 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(5153(a,1),215(a,1,2,2))]. 5541 K(x \ y,z) * K(x \ y,y \ x) = T(x \ y,z) * (1 / (x \ y)). [para(2503(a,1),5153(a,1,2)),flip(a)]. 5542 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5125(a,2),5153(a,1,2)),flip(a)]. 5543 x * (T(x,y) \ K(x,z)) = K(x,z) * K(y,x). [hyper(285,a,2229,a,b,5157,a),flip(a)]. 5544 T(x,y) \ (x * z) = K(y,x) * z. [hyper(66,a,999,a,b,5157,a)]. 5545 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(37,a,4428,a,b,5157,a)]. 5546 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(123,a,4517,a,b,5157,a(flip))]. 5547 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(123,a,4826,a(flip),b,5157,a(flip)),flip(a)]. 5550 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4143(a,1),5157(a,1,2,1))]. 5551 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5157(a,1),4427(a,1,2)),flip(a)]. 5552 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5125(a,2),5157(a,1,2)),flip(a)]. 5557 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(180,a,5187,a),flip(a)]. 5558 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5187(a,1),307(a,1,1)),flip(b)]. 5559 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(37,a,3496,a,b,5193,a),flip(a)]. 5560 (1 / (x \ y)) * (y / x) = K(x,x \ y). [hyper(124,a,5193,a(flip),b,3222,a)]. 5561 R((x \ y) / z,z,K(x,x \ y)) = (y / x) / (z * K(x,x \ y)). [para(5193(a,1),113(a,2,1))]. 5562 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5193(a,1),3221(a,1,2))]. 5563 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5193(a,1),4409(a,1,1)),flip(a)]. 5564 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5193(a,1),4414(a,1,1)),flip(a)]. 5566 T(x \ y,R(y / x,z,u)) = x \ y. [para(5193(a,1),4625(a,1,2,1))]. 5567 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(124,a,4517,a,b,5196,a(flip))]. 5569 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5197(a,1),447(a,1,1))]. 5570 (x * K(y,y \ z)) * z != u * (y * (z / y)) | R(x,K(y,y \ z),z) = u. [para(5197(a,1),475(a,2,2))]. 5571 K(x,(x \ 1) * y) * y = x * (y / x). [para(4664(a,2),5197(a,1,1))]. 5574 x \ (T(x,y) * y) = y * K(x,y). [hyper(122,a,5219,a(flip),b,4468,a(flip))]. 5576 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5219(a,1),303(a,1))]. 5577 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(222(a,1),5219(a,1,2))]. 5578 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(223(a,1),5219(a,1,2))]. 5579 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(5219(a,1),479(a,1,1,1))]. 5583 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5220(a,1),25(a,2,2)),flip(a)]. 5584 K(x,y) * (x / y) = x / T(y,x). [hyper(4339,a,5228,a),flip(a)]. 5585 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(551,a,5228,a),flip(a)]. 5586 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(123,a,5130,a,b,5228,a)]. 5587 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(122,a,5130,a,b,5228,a)]. 5590 T(x,y) * z != x * u | K(y,x) * u = z. [para(5228(a,1),46(a,1)),flip(a)]. 5591 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5228(a,1),304(a,1,2)),flip(b)]. 5592 T(x,y) \ (x * z) != z * u | T(K(y,x),z) = u. [para(5228(a,1),375(a,1,2))]. 5593 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(5233(a,1),3054(a,1,1))]. 5594 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(43,a,5251,a,b,5240,a)]. 5595 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(43,a,5150,a,b,5240,a)]. 5596 T(x * K(x * y,x),y * x) = x. [hyper(43,a,4182,a(flip),b,5240,a),flip(a)]. 5597 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5252(a,1),221(a,1,2,1)),flip(a)]. 5599 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(27(a,2),5269(a,1,2))]. 5600 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5269(a,1),417(a,1,1,1)),flip(a)]. 5601 T(x,y) \ (y \ T(x,y)) = x \ (y \ x). [hyper(122,a,5271,a(flip),b,5153,a)]. 5602 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5069(a,2),5292(a,1,2))]. 5603 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4401(a,2),5293(a,2,2))]. 5604 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5150(a,1),5301(a,1,2,2))]. 5606 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [hyper(124,a,5359,a(flip),b,5174,a)]. 5608 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [hyper(285,a,27,a,b,5375,a),flip(a)]. 5609 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(28(a,1),5375(a,1,1))]. 5610 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5408(a,1),240(a,1,2)),flip(b)]. 5611 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5412(a,2),1147(a,2,2))]. 5612 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3849,a,5434,a)]. 5613 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [hyper(124,a,4665,a(flip),b,5434,a),flip(a)]. 5615 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4905(a,2),5434(a,1,2))]. 5616 T(K(x,x \ y),y) = K(x,x \ y). [hyper(224,a,5197,a,b,5435,a)]. 5617 T(x,K(y,y \ x)) = x. [hyper(224,a,5435,a,b,5197,a)]. 5618 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(66,a,5228,a,b,5435,a)]. 5619 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(66,a,3009,a,b,5435,a)]. 5620 x * (y / x) != y * z | K(x,x \ y) = z. [para(5435(a,1),46(a,1))]. 5621 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5435(a,1),105(a,2,1))]. 5622 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5435(a,1),462(a,1,2))]. 5623 (x \ 1) * (y * K(x,x \ y)) = L(y,x \ 1,x) / x. [para(5435(a,2),2187(a,1,2))]. 5624 K(x,K(y,y \ x)) = 1. [hyper(58,a,5617,a)]. 5625 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4905(a,2),5438(a,1,1))]. 5626 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1588(a,1,2,2,1))]. 5627 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1658(a,1,2,2,1))]. 5628 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(66,a,281,a(flip),b,5492,a),flip(a)]. 5629 K(x \ 1,x) * K(x \ 1,y) = T(x \ 1,y) * x. [para(5492(a,1),4743(a,1,2))]. 5630 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5514(a,1),1016(a,1))]. 5631 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1386,a,5515,a)]. 5632 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(5515(a,1),103(a,1,1))]. 5633 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(5515(a,1),5448(a,1,2))]. 5634 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [hyper(124,a,5516,a(flip),b,4544,a(flip))]. 5635 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5516(a,1),46(a,1))]. 5637 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(41,a,4088,a,b,5526,a),flip(a)]. 5638 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(41,a,4297,a(flip),b,5526,a),flip(a)]. 5643 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(32(a,2),5532(a,1,2,1))]. 5644 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(30(a,2),5533(a,1,2,1))]. 5646 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(123,a,4121,a(flip),b,5544,a(flip))]. 5648 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5545(a,1),445(a,1,1)),flip(a)]. 5649 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5134(a,1),5557(a,2,1)),flip(a)]. 5650 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(5574(a,1),5073(a,2,2,1))]. 5651 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5584(a,1),103(a,1,1))]. 5652 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5584(a,1),176(a,1,2,1))]. 5653 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5585(a,1),240(a,1,2)),flip(b)]. 5655 T(K(x,(x \ 1) * y),y) = K(x,x \ y). [para(4664(a,2),5616(a,1,1))]. 5660 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4231(a,2),5376(a,1,1))]. 5661 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(5385(a,1),4328(a,1,2)),flip(a)]. 5662 K(x,y) * z != u | K(y,x) \ z = u. [para(15(a,1),5453(a,1,2)),flip(b)]. 5664 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3751(a,2),5453(a,1,2)),flip(b)]. 5666 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5158(a,1),5453(a,1,2)),flip(b)]. 5667 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5515(a,1),5454(a,1,2))]. 5668 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(27(a,2),5464(a,1))]. 5670 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3196,a,5520,a)]. 5671 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5520(a,1),4395(a,1,1)),flip(a)]. 5675 T(x,y) \ (x * z) != u | K(x,y) \ z = u. [para(5544(a,2),5662(a,1))]. 5676 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(122,a,5670,a(flip),b,5152,a),flip(a)]. 5677 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,x \ 1). [hyper(122,a,5076,a(flip),b,3667,a)]. 5678 x \ K(y \ (x \ 1),y) = (y \ (x \ 1)) * y. [hyper(122,a,5076,a(flip),b,175,a(flip))]. 5679 K(x \ y,x) \ (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5076(a,1),19(a,2,1)),flip(a)]. 5680 ((1 / x) * y) \ K(y \ x,y) = L(T(y \ x,y),y,1 / x). [para(5076(a,1),216(a,1,2))]. 5682 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(14(a,1),5102(a,1,1,1)),flip(a)]. 5683 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5150(a,1),5133(a,1,1,1)),flip(a)]. 5685 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(123,a,829,a(flip),b,5154,a)]. 5687 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5154(a,1),225(a,2)),flip(a)]. 5688 x / (y * T(y \ x,z)) = K(z,x / y). [para(5154(a,1),5448(a,1,2))]. 5690 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3975(a,1),5159(a,1,2,1))]. 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(66,a,2807,a(flip),b,5166,a)]. 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(66,a,2215,a(flip),b,5166,a)]. 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(66,a,2052,a(flip),b,5166,a)]. 5695 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [hyper(124,a,5166,a(flip),b,1760,a(flip))]. 5696 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(123,a,5166,a(flip),b,798,a)]. 5697 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5166(a,1),25(a,2,2)),flip(a)]. 5698 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5166(a,1),1177(a,2,2))]. 5699 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5166(a,1),2045(a,2,1))]. 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5168(a,2),1357(a,2,1))]. 5702 T(T(1 / x,y) * x,z) / x = (1 / x) * T(K(x \ 1,y),z). [para(5177(a,1),896(a,1,1,1,1))]. 5703 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [hyper(124,a,5186,a(flip),b,27,a(flip))]. 5704 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5208,a,5201,a)]. 5706 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(66,a,4413,a,b,5704,a)]. 5707 K(x,(y \ z) / z) = K(x,y \ 1). [para(15(a,1),5704(a,1,2,2))]. 5708 K(x,(y / z) \ 1) = K(x,z / y). [para(17(a,1),5704(a,1,2,2)),flip(a)]. 5709 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5704(a,1),5234(a,1,1))]. 5712 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(463(a,1),5707(a,1,2,1)),flip(a)]. 5714 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(285,a,4413,a,b,5708,a)]. 5715 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(285,a,13,a,b,5708,a),flip(a)]. 5716 ((x / y) \ 1) \ K(z,y / x) = T((x / y) \ 1,z) \ 1. [hyper(122,a,5708,a(flip),b,5124,a(flip))]. 5718 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5239(a,1),588(a,1,1,1))]. 5719 T(x * K(x * y,x),y) = R(x,y,x). [hyper(38,a,4134,a,b,5242,a),flip(a)]. 5720 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5242,a),flip(a)]. 5721 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(123,a,5243,a,b,5192,a(flip))]. 5722 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(122,a,5243,a,b,5149,a(flip))]. 5723 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5243(a,2),3955(a,2,2))]. 5724 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5243(a,2),5121(a,2,1)),flip(a)]. 5725 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5243(a,2),5241(a,1))]. 5726 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5273(a,1),5259(a,1))]. 5727 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4284(a,2),5726(a,1))]. 5728 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(66,a,5255,a(flip),b,5300,a)]. 5729 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2963(a,1),5338(a,1,2))]. 5730 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5370(a,1),135(a,1))]. 5731 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(5373(a,1),4273(a,2,2))]. 5732 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5243(a,2),5402(a,1,1)),flip(a)]. 5734 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(123,a,1246,a(flip),b,5423,a),flip(a)]. 5735 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5425(a,1),705(a,1,1))]. 5736 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(285,a,3341,a(flip),b,5467,a),flip(a)]. 5737 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(15(a,1),5517(a,1,1,1)),flip(a)]. 5738 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5149(a,1),5517(a,1,1))]. 5740 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(285,a,4124,a,b,5518,a)]. 5742 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5125(a,2),5529(a,1,2,2))]. 5743 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(285,a,3353,a(flip),b,5542,a)]. 5744 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5542(a,2),3362(a,1))]. 5745 T(x,(((y \ z) \ 1) * (z / y)) * u) = T(x,K(y,y \ z) * u). [para(5560(a,1),4816(a,1,2,1)),flip(a)]. 5746 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5150(a,1),5586(a,1,1))]. 5747 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(28(a,1),5587(a,1,2))]. 5748 (x * T(y,x)) * T((x * T(y,x)) \ T(y,x),z) = x * (T(y,x) * T(y \ (x \ y),z)). [para(5601(a,1),830(a,2,2,2,1))]. 5749 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(15(a,1),5638(a,1,2,1,1))]. 5753 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(830(a,1),5688(a,1,2))]. 5754 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1414(a,1),5688(a,1,2))]. 5755 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5696(a,2),713(a,2,1)),flip(a)]. 5756 K(x,(y / z) \ 1) != u * 1 | K(x,z / y) = u. [para(5715(a,2),47(a,1))]. 5757 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5715(a,2),132(a,1)),flip(b)]. 5759 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [hyper(124,a,5743,a,b,176,a)]. 5760 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5743(a,1),46(a,1))]. 5763 T(x,y) * K(x * y,x) = R(x,y,x). [para(4345(a,1),5237(a,1,2))]. 5764 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(122,a,5763,a(flip),b,5152,a),flip(a)]. 5765 K(x * y,T(x,y)) = K(x * y,x). [hyper(37,a,5763,a,b,5367,a),flip(a)]. 5766 K(1 / x,y) != z | K(x \ 1,y) = z. [para(5171(a,1),5477(a,1))]. 5767 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(87(a,1),5766(a,1,1))]. 5770 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5527(a,1),5576(a,1,2))]. 5771 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3856(a,2),5620(a,1))]. 5775 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(116(a,1),5666(a,1,2))]. 5777 K(x,y \ 1) != z | K(x,1 / y) = z. [para(86(a,1),5757(a,1,2,1))]. 5778 K(T(x / y,z),T(x / y,z) \ 1) != u | K(x / y,y / x) = u. [para(3158(a,2),5757(a,1))]. 5783 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(135,a,5156,a)]. 5784 K(x * y,T(y,x)) = K(x * y,y). [hyper(37,a,5130,a(flip),b,5203,a),flip(a)]. 5785 K(x * y,y) = K(y * x,y). [hyper(4346,a,5784,a),flip(a)]. 5786 K(x * y,y) != z | K(y * x,y) = z. [para(5784(a,1),4346(a,1))]. 5787 K(x * (y / x),x) = K(y,x). [para(17(a,1),5785(a,1,1)),flip(a)]. 5788 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5785(a,2),5764(a,1,2))]. 5789 K(T(x,y) * y,x) = K(x * y,x). [para(3955(a,2),5787(a,1,1))]. 5790 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4905(a,2),5787(a,1,1))]. 5791 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3955(a,2),5790(a,1,1,1))]. 5792 K(x * y,y) * K(y,x) = y \ R(y,x,y). [hyper(2236,a,5788,a)]. 5793 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(66,a,3036,a(flip),b,5218,a),flip(a)]. 5794 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [hyper(124,a,5238,a,b,5534,a)]. 5795 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5244,a)]. 5796 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(35(a,1),5244(a,2,2))]. 5798 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5245,a)]. 5799 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [hyper(2416,a,5307,a)]. 5800 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5307(a,1),3418(a,1,1))]. 5801 K(x,y) * (K(y \ 1,y) * z) = ((T(y,x) \ 1) * y) * z. [para(5307(a,1),4776(a,1,1)),flip(a)]. 5802 (x * K(y,y \ 1)) / K(z,y) = x / ((T(y,z) \ 1) * y). [para(5307(a,1),4840(a,2,2))]. 5803 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(123,a,5387,a,b,5192,a(flip))]. 5804 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5387(a,2),5121(a,2,1)),flip(a)]. 5805 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(122,a,5388,a,b,5149,a(flip))]. 5806 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5388(a,2),4199(a,1,1))]. 5807 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5388(a,2),5121(a,2,1)),flip(a)]. 5808 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(5388(a,2),5413(a,1,1)),flip(a)]. 5809 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(5388(a,2),5402(a,1,1)),flip(a)]. 5812 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(285,a,2451,a(flip),b,5407,a)]. 5813 K(x \ y,y \ x) * K(x \ y,z) = T(x \ y,z) * (1 / (x \ y)). [para(2490(a,1),5416(a,1,1))]. 5814 (x * K(y,y \ 1)) * K(y,z) = x * (T(y,z) * (1 / y)). [para(5416(a,1),4891(a,2,2))]. 5815 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(981(a,1),5495(a,1,2,2))]. 5816 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1329(a,1),5495(a,1,2))]. 5817 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1363,a,5497,a),flip(a)]. 5818 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,5497,a),flip(a)]. 5819 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(66,a,838,a(flip),b,5497,a)]. 5820 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(124,a,5497,a(flip),b,838,a(flip))]. 5821 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(123,a,5497,a(flip),b,417,a)]. 5822 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(285,a,5497,a(flip),b,5502,a),flip(a)]. 5824 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(285,a,884,a(flip),b,5502,a),flip(a)]. 5826 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [hyper(123,a,838,a(flip),b,5502,a),flip(a)]. 5827 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(123,a,830,a(flip),b,5502,a)]. 5828 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(123,a,829,a(flip),b,5502,a)]. 5829 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [hyper(122,a,5502,a,b,xx)]. 5830 K((x / y) \ 1,z) = K(y / x,z). [hyper(38,a,5154,a,b,5502,a),flip(a)]. 5832 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(14(a,1),5502(a,2,2,1))]. 5833 K((x / y) \ 1,x) = K(x \ y,x). [hyper(285,a,5323,a(flip),b,5830,a),flip(a)]. 5834 K(x / (y * x),z) = K(y \ 1,z). [para(16(a,1),5830(a,1,1,1)),flip(a)]. 5835 K((x / (y * x)) \ 1,z) = K(y,z). [para(16(a,1),5830(a,2,1))]. 5836 K((x \ y) / y,z) = K(x \ 1,z). [para(87(a,1),5830(a,1,1,1)),flip(a)]. 5837 K(L(x \ y,x,z) / (z * y),u) = K((z * x) \ 1,u). [para(437(a,1),5830(a,1,1,1)),flip(a)]. 5838 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(285,a,5085,a,b,5833,a)]. 5839 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(285,a,4655,a(flip),b,5833,a),flip(a)]. 5840 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(16(a,1),5833(a,1,1,1)),flip(a)]. 5841 K(x \ (y \ x),x) = K(y \ 1,x). [para(87(a,1),5833(a,1,1,1)),flip(a)]. 5845 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5841(a,1),5087(a,1,1,2))]. 5846 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(66,a,4409,a,b,5522,a)]. 5847 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5523(a,2),225(a,2)),flip(a)]. 5848 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(37,a,5529,a,b,5543,a)]. 5850 K(x / (y \ 1),y) = K(y * x,y). [hyper(66,a,5646,a(flip),b,5546,a),flip(a)]. 5852 K(x / (y \ 1),y) = K(x * y,y). [hyper(285,a,5785,a,b,5850,a),flip(a)]. 5853 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3214,a,5552,a)]. 5854 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(122,a,15,a(flip),b,5563,a),flip(a)]. 5865 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5595(a,1),304(a,1,2)),flip(b)]. 5866 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5595(a,1),215(a,1,2,2))]. 5867 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(4181(a,1),5595(a,1,1))]. 5868 T(x,y) * T(y * K(z,y),x) = x * (y * K(z,T(y,x))). [para(5595(a,1),4513(a,1,2))]. 5869 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5595(a,1),5087(a,1,1))]. 5870 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(135,a,5637,a)]. 5871 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5637(a,1),5448(a,1,2))]. 5872 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(66,a,625,a(flip),b,5682,a)]. 5874 K(x,y) = (1 / (y * x)) * (x * y). [hyper(285,a,4955,a,b,5872,a),flip(a)]. 5875 K(x,y) / (x * y) = 1 / (y * x). [hyper(123,a,5872,a,b,4955,a)]. 5876 T(x * y,(y * x) \ 1) = ((y * x) \ 1) \ K(x,y). [hyper(122,a,5872,a,b,116,a),flip(a)]. 5877 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(122,a,5872,a,b,151,a(flip)),flip(a)]. 5880 (x * y) * ((y * x) * (1 / (x * y))) = (((x * y) \ 1) \ 1) * K(y,x). [para(5872(a,2),2912(a,1,2)),flip(a)]. 5882 (1 / ((x \ y) * x)) * y = K(x,x \ y). [hyper(285,a,152,a(flip),b,5874,a)]. 5883 ((1 / (x * y)) * y) \ K(y,x) = L(x,y,(x * y) \ 1). [hyper(122,a,5874,a,b,3667,a)]. 5885 (x * y) * ((y * x) * (1 / (x * y))) = T(y * x,(x * y) \ 1). [para(5875(a,1),3832(a,1,2,2))]. 5886 K(x \ (1 / y),T(x,x \ (y \ 1))) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4856(a,1),5875(a,2,2))]. 5887 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5373(a,2),5721(a,1,1,1))]. 5888 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(5367(a,1),5721(a,1,1,1))]. 5889 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(5595(a,1),5721(a,1,1,1))]. 5890 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5722(a,1),240(a,1,2)),flip(b)]. 5892 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) = K(z,T(x \ 1,y)). [para(3224(a,1),5722(a,1,2,1))]. 5893 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5785(a,1),5722(a,1,2,1,2))]. 5894 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5595(a,1),5724(a,1,1,1))]. 5895 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(66,a,5535,a,b,5737,a)]. 5899 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(5125(a,2),5737(a,1,2))]. 5900 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5742(a,1),46(a,1))]. 5905 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5749(a,1),5453(a,1,2)),flip(b)]. 5906 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5749(a,1),5098(a,2,2))]. 5907 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(90(a,1),5783(a,1,2,1,2))]. 5908 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(5791(a,1),5142(a,2,1))]. 5909 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(41,a,1345,a(flip),b,5829,a),flip(a)]. 5910 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(16(a,1),5829(a,1,2,1,1,1))]. 5913 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [hyper(124,a,5840,a(flip),b,97,a),flip(a)]. 5914 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5421(a,1),5845(a,1,1)),flip(a)]. 5916 ((x * L(y,x,z)) \ (z * (x * y))) \ R(z,x,L(y,x,z)) = K(x * L(y,x,z),R(z,x,L(y,x,z))). [para(854(a,1),5137(a,1,1))]. 5917 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4181(a,1),5160(a,1,2,1)),flip(a)]. 5918 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(28(a,1),5161(a,1,2,1))]. 5919 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(5258(a,1),494(a,1,1)),flip(a)]. 5920 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(38,a,5039,a,b,5272,a),flip(a)]. 5922 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5920(a,2),4797(a,1,2))]. 5923 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4741(a,1),5326(a,2,1,1))]. 5925 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(285,a,5149,a(flip),b,5379,a),flip(a)]. 5926 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5925(a,1),1575(a,1,2,3))]. 5927 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(5073(a,2),5925(a,1,1))]. 5928 R(x * K(y,x),y,x) = x * K(x * y,x). [para(5785(a,1),5925(a,2,2))]. 5929 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(5928(a,1),32(a,2,1))]. 5930 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5396(a,2),4229(a,1,1))]. 5931 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(84(a,1),5455(a,1,2))]. 5941 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(291,a,5460,a),flip(a)]. 5944 T(x,y) \ (x * z) != u * w | u \ (K(x,y) \ z) = w. [para(5544(a,2),5931(a,1))]. 5945 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5941(a,1),32(a,2,1))]. 5946 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5125(a,2),5164(a,1,1))]. 5948 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(124,a,5946,a(flip),b,23,a(flip))]. 5949 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(90(a,1),5946(a,1,1,2)),flip(a)]. 5950 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4596(a,1),5946(a,1,1)),flip(a)]. 5951 R(x,L(K(x,y),z,u),w) = x. [para(5949(a,1),4448(a,1,2))]. 5952 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(5951(a,1),112(a,1,1)),flip(a)]. 5953 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(357(a,1),5950(a,1,2,1)),flip(a)]. 5954 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5950(a,1),5334(a,1,1)),flip(a)]. 5955 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5950(a,1),5946(a,1,1)),flip(a)]. 5956 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(124,a,5953,a(flip),b,104,a),flip(a)]. 5957 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [hyper(285,a,5149,a(flip),b,5386,a),flip(a)]. 5960 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5393(a,1),630(a,1,1))]. 5961 K(x \ 1,y) * (K(x \ 1,x) * z) = (T(x \ 1,y) * x) * z. [para(5415(a,1),4776(a,1,1)),flip(a)]. 5962 K(x \ 1,x) * (y * K(x \ 1,z)) = y * (T(x \ 1,z) * x). [para(5415(a,1),4844(a,2,2))]. 5963 (K(x,y) / y) / (K(z \ 1,z) / T(y,x)) = K(z,z \ 1). [para(3655(a,1),5462(a,1,2))]. 5964 (K(x,y) / y) / (K(z \ u,u \ z) / T(y,x)) = K(u \ z,z \ u). [para(3661(a,1),5462(a,1,2))]. 5965 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(66,a,1416,a(flip),b,5491,a)]. 5966 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(90(a,1),5491(a,1,2,2,1,2))]. 5967 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(116(a,1),5491(a,1,2))]. 5969 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5126(a,1),5493(a,1,1))]. 5970 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,4413,a(flip),b,5969,a),flip(a)]. 5972 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(113(a,1),5969(a,2,1,1))]. 5973 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3341(a,1),5969(a,1,1)),flip(a)]. 5974 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(704(a,1),5970(a,1,1,1))]. 5975 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5973(a,1),5320(a,1,1)),flip(a)]. 5976 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5973(a,1),5334(a,1,1)),flip(a)]. 5977 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(5126(a,1),5494(a,1,1))]. 5978 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(5171(a,1),5494(a,1,1))]. 5979 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [hyper(124,a,5977,a(flip),b,23,a(flip))]. 5980 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1593(a,1),5977(a,1,1)),flip(a)]. 5981 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3341(a,1),5977(a,1,1)),flip(a)]. 5982 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(5977(a,1),4621(a,1,1))]. 5983 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5320(a,1),5977(a,1,1,1)),flip(a)]. 5985 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [hyper(124,a,5981,a(flip),b,5722,a),flip(a)]. 5986 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5981(a,1),5320(a,1,1)),flip(a)]. 5987 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(5981(a,1),5559(a,1,2,2))]. 5988 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5981(a,1),5728(a,2,2,1))]. 5989 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(123,a,5987,a(flip),b,5560,a)]. 5990 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(124,a,5498,a,b,838,a(flip))]. 5991 (x \ y) * T((x \ y) \ (x \ 1),z) = x \ K(y \ 1,z). [para(15(a,1),5498(a,1,2,1,1)),flip(a)]. 5994 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(838(a,1),5504(a,1,2))]. 5996 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5501(a,2),5504(a,1,2))]. 5997 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5342(a,1),5604(a,1,1)),flip(a)]. 5998 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4182(a,1),5608(a,1,1))]. 5999 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [hyper(138,a,5609,a)]. 6000 x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x \ 1,x). [hyper(124,a,5613,a(flip),b,404,a)]. 6001 K(x \ y,y \ x) * K((y \ x) \ 1,z) = T((y \ x) \ 1,z) * (y \ x). [para(2618(a,1),5629(a,1,1))]. 6002 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5479,a,5690,a),flip(a)]. 6004 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(87(a,1),6002(a,1,1)),flip(a)]. 6005 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4111(a,2),6004(a,1,1))]. 6006 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(136,a,5693,a)]. 6007 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5166(a,1),5694(a,1,1)),flip(a)]. 6009 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3366(a,1),6007(a,1,2,1)),flip(a)]. 6010 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(4596(a,1),6007(a,2,1))]. 6012 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6007(a,1),5180(a,1,2))]. 6013 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6010(a,1),3370(a,1,2,1))]. 6014 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6010(a,1),5946(a,1,1)),flip(a)]. 6017 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(5134(a,1),5703(a,1,2))]. 6018 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5031(a,1),5754(a,1,2))]. 6019 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(66,a,278,a(flip),b,5819,a)]. 6020 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5819(a,1),1640(a,2,2,1))]. 6021 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5819(a,2),5721(a,1,1,1))]. 6022 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5320(a,1),5820(a,1,2,2,1,1,2))]. 6023 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4191(a,1),5906(a,1,1,2))]. 6024 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5833(a,1),5907(a,1,1,2))]. 6025 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5073(a,2),6024(a,1,1))]. 6026 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(180,a,6025,a)]. 6027 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(285,a,5142,a,b,5908,a),flip(a)]. 6028 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(6027(a,1),5258(a,1,1,1)),flip(a)]. 6029 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(5910(a,1),240(a,1,2)),flip(b)]. 6030 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3319(a,1),5910(a,1,2,1)),flip(a)]. 6031 (((x \ 1) * y) \ y) * (x \ L(y,x \ 1,x)) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(404(a,2),5913(a,1,2))]. 6032 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(66,a,5950,a(flip),b,5986,a),flip(a)]. 6033 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(185,a,6032,a)]. 6034 L(K(x,y),z,u) != w \ 1 | L(K(y,x),z,u) = w. [para(6032(a,1),51(a,1))]. 6035 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6032(a,1),297(a,1,2)),flip(b)]. 6036 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6033(a,1),307(a,1,1)),flip(b)]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(90(a,1),5996(a,1,2,1,1))]. 6041 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3341(a,1),5996(a,1,2,1))]. 6042 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5149(a,2),5998(a,1,2))]. 6043 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(285,a,5695,a,b,6006,a),flip(a)]. 6044 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(87(a,1),6006(a,1,1,2,1))]. 6045 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(66,a,5848,a(flip),b,6017,a),flip(a)]. 6046 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5708(a,1),6043(a,1,1)),flip(a)]. 6047 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(225,a,6046,a)]. 6049 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(15(a,1),5427(a,1,2,2,1))]. 6050 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5335(a,2),5443(a,1,2))]. 6051 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(205(a,2),5706(a,1,2))]. 6052 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(205(a,1),5720(a,2,3))]. 6053 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(37,a,5034,a(flip),b,5795,a),flip(a)]. 6054 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6053(a,2),4784(a,1,2))]. 6057 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(5798(a,1),5345(a,1,2))]. 6059 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) != u | K(z,T(x \ 1,y)) = u. [para(3224(a,1),5865(a,1,2,1))]. 6060 (1 / L(x,y,(x * y) \ 1)) * ((K(y,x) \ ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),1479(a,1,1,2))]. 6063 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [hyper(124,a,5927,a,b,5373,a)]. 6064 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(5789(a,1),6057(a,1,2,1,2)),flip(a)]. 6065 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(37,a,1965,a,b,5204,a)]. 6066 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),2398(a,2,2))]. 6068 K(x * y,y \ (x \ 1)) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(6065(a,1),2895(a,1,1))]. 6069 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6065(a,1),3686(a,1,1))]. 6070 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6065(a,1),3638(a,1,1,2))]. 6071 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(5929(a,1),5249(a,1,1))]. 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(224,a,6071,a,b,xx)]. 6074 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5785(a,2),6072(a,1,1,1,2))]. 6075 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(6074(a,1),5248(a,1,1))]. 6076 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(592,a,6075,a)]. 6077 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(5253(a,1),4480(a,1,1,1,1))]. 6078 (T(x,y) * (1 / x)) * (z * K(x \ 1,x)) = K(x,y) * z. [hyper(4846,a,5417,a),flip(a)]. 6079 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [hyper(66,a,5503,a(flip),b,5505,a),flip(a)]. 6080 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(224,a,5503,a(flip),b,5505,a(flip)),flip(a)]. 6081 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(90(a,1),6080(a,2,1,1))]. 6082 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3341(a,1),6080(a,2,1))]. 6083 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6081(a,1),5977(a,1,1)),flip(a)]. 6084 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6082(a,1),5977(a,1,1)),flip(a)]. 6086 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5634(a,1),5551(a,1,2)),flip(a)]. 6087 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(285,a,4241,a(flip),b,5577,a),flip(a)]. 6088 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(285,a,4242,a(flip),b,5578,a),flip(a)]. 6090 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5166(a,1),5692(a,1,1))]. 6091 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4477,a,6090,a),flip(a)]. 6092 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(66,a,5969,a(flip),b,6090,a)]. 6093 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,6090,a),flip(a)]. 6094 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4596(a,1),6090(a,1,1)),flip(a)]. 6095 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5708(a,1),6090(a,1,1)),flip(a)]. 6096 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(36(a,1),6091(a,1,2,1))]. 6097 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(66,a,5975,a(flip),b,6094,a)]. 6098 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(66,a,5712,a(flip),b,6095,a),flip(a)]. 6099 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(488(a,1),6095(a,1,2,1)),flip(a)]. 6100 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(461(a,1),6095(a,1,2)),flip(a)]. 6101 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(17(a,1),6098(a,2,2,1))]. 6102 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(17(a,1),6098(a,2,2,2))]. 6103 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(87(a,1),6098(a,1,1,2)),flip(a)]. 6104 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6103(a,1,2))]. 6105 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(14(a,1),6104(a,1,2,2)),flip(a)]. 6106 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(176(a,1),6104(a,1,2,2)),flip(a)]. 6107 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(66,a,5969,a(flip),b,6105,a)]. 6108 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6105(a,1),32(a,2,1))]. 6109 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(495(a,1),6096(a,1,2,1)),flip(a)]. 6110 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(87(a,1),6099(a,1,1,2)),flip(a)]. 6111 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(66,a,2043,a(flip),b,5698,a)]. 6112 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5698(a,1),2073(a,1,1)),flip(a)]. 6113 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(66,a,1179,a(flip),b,5699,a)]. 6115 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(123,a,5732,a(flip),b,4427,a)]. 6116 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(830(a,1),5753(a,1,2,2))]. 6117 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1414(a,1),5753(a,1,2,2))]. 6118 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5379(a,2),5753(a,2,2))]. 6119 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(32(a,2),5818(a,2,2))]. 6120 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5865,a,5893,a),flip(a)]. 6121 K(x * y,T(y,z)) != u | K(y * x,T(y,z)) = u. [para(5893(a,1),5865(a,1))]. 6122 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6120(a,1),4346(a,1))]. 6123 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(66,a,5629,a(flip),b,5899,a),flip(a)]. 6124 x * T(x \ (T(x \ 1,y) * x),z) = (1 / x) \ T(T(x \ 1,y),z). [para(6123(a,1),892(a,1,2,1,2))]. 6125 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(135,a,5909,a),flip(a)]. 6126 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5981(a,1),5954(a,1,1)),flip(a)]. 6127 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(305,a,6126,a),flip(a)]. 6128 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(285,a,2238,a(flip),b,6126,a),flip(a)]. 6129 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6127(a,1),304(a,1,2)),flip(b)]. 6130 ((x / y) * K(z,x / y)) * y = y * ((y \ x) * K(z,y \ x)). [hyper(124,a,5957,a(flip),b,27,a(flip)),flip(a)]. 6131 K(T(x / y,z),T(x / y,z) \ 1) = (K(u,w) / w) / (K(x \ y,y \ x) / T(w,u)). [para(3464(a,1),5963(a,1,2,1)),flip(a)]. 6132 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5497(a,1),5965(a,1,1))]. 6133 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6094(a,1),5976(a,1,1)),flip(a)]. 6134 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(305,a,6133,a),flip(a)]. 6135 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(185,a,6133,a)]. 6136 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(123,a,176,a(flip),b,6133,a(flip))]. 6137 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6133(a,2),132(a,1)),flip(b)]. 6138 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6134(a,1),304(a,1,2)),flip(b)]. 6139 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(196,a,6136,a)]. 6141 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5101(a,1),6136(a,1,2,1))]. 6142 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(5197(a,1),6136(a,1,2,1))]. 6143 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(66,a,153,a(flip),b,6141,a),flip(a)]. 6144 K(((x \ y) * ((x \ 1) \ 1)) \ 1,z) = (x \ K(y \ 1,z)) * ((x \ 1) \ 1). [para(5991(a,1),5965(a,1,1)),flip(a)]. 6145 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(285,a,5910,a(flip),b,6030,a),flip(a)]. 6146 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = K(x,y) * ((x \ 1) * z). [para(3744(a,1),6078(a,1,2))]. 6147 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6084(a,1),5334(a,1,1)),flip(a)]. 6148 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6044(a,2),6113(a,1,2))]. 6149 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(14(a,1),6148(a,1,2,2)),flip(a)]. 6152 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(4596(a,1),6149(a,1,1)),flip(a)]. 6153 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(6032(a,2),6128(a,2,2)),flip(a)]. 6154 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(123,a,5284,a(flip),b,116,a)]. 6155 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5298(a,1),1833(a,1,2))]. 6156 ((1 / (x * y)) * (x * y)) / L(x,y * K(x,y),1 / (x * y)) = a((x * y) \ 1,(x * y) / x,x) / x. [hyper(285,a,3939,a,b,5384,a),flip(a)]. 6157 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5219(a,1),5431(a,1,2,2))]. 6158 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(767,a,6157,a),flip(a)]. 6159 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5536(a,1),456(a,1,1))]. 6160 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6138,a,5652,a)]. 6163 ((1 / x) * y) \ K(y \ x,y) = T(((1 / x) * y) \ 1,y). [hyper(285,a,697,a,b,5680,a),flip(a)]. 6164 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4639(a,1),5755(a,1,1,1))]. 6165 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(32(a,2),5888(a,1,1))]. 6166 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [hyper(285,a,5160,a(flip),b,5917,a),flip(a)]. 6168 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5972(a,1),112(a,1,1))]. 6170 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5833(a,1),5972(a,1,1))]. 6171 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(14(a,1),6170(a,1,1,1))]. 6172 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4787,a,5979,a),flip(a)]. 6173 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(37,a,5922,a,b,5979,a)]. 6174 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5979(a,1),46(a,1)),flip(a)]. 6175 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(268(a,1),5979(a,1,2,1,1))]. 6176 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(124,a,6172,a(flip),b,1252,a)]. 6177 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6176(a,1),2647(a,1,1))]. 6178 (L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(6000(a,1),4314(a,1,1,1))]. 6179 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(830(a,1),6029(a,1))]. 6180 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6053(a,2),6054(a,2,2,2))]. 6181 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(37,a,5405,a,b,6063,a),flip(a)]. 6182 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(285,a,6065,a(flip),b,6069,a),flip(a)]. 6184 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(66,a,6135,a,b,6139,a)]. 6185 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(285,a,4791,a(flip),b,6164,a),flip(a)]. 6186 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6171(a,1),3189(a,1,2))]. 6187 x * (T(y,x) * T(y \ (x \ y),z)) != u | K(x \ 1,z) * T(y,x) = u. [para(5601(a,1),6179(a,1,2,2,1))]. 6188 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1579(a,1),5096(a,1,1,1,2,1))]. 6189 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(285,a,4938,a(flip),b,5104,a),flip(a)]. 6191 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5414(a,2),5215(a,1,2,1))]. 6192 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5256(a,2),5286(a,1,2,1))]. 6193 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5150(a,1),6192(a,1,2,1)),flip(a)]. 6194 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(66,a,5152,a,b,5306,a)]. 6195 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1628,a,5378,a),flip(a)]. 6196 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(684(a,1),5506(a,1,1))]. 6197 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),6196(a,1,1,2))]. 6199 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(224,a,6197,a,b,15,a),flip(a)]. 6200 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(123,a,150,a(flip),b,6197,a)]. 6201 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(123,a,6197,a(flip),b,112,a)]. 6204 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6200(a,1),118(a,1,1))]. 6205 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5131(a,1),6200(a,1,1)),flip(a)]. 6206 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(128,a,6205,a)]. 6207 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(66,a,3441,a,b,6206,a)]. 6208 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(16(a,1),6207(a,1,2,2))]. 6209 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(66,a,3339,a,b,6208,a)]. 6210 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(66,a,5628,a(flip),b,6208,a)]. 6211 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [hyper(124,a,6209,a(flip),b,5408,a)]. 6212 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(38,a,5492,a,b,6210,a)]. 6213 R(T(1 / x,y * x),x,y) = (x * y) \ y. [para(6212(a,2),4835(a,1,1))]. 6214 T(R(1 / x,x,y),y * x) = (x * y) \ y. [hyper(66,a,32,a(flip),b,6213,a)]. 6215 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(285,a,4571,a(flip),b,6199,a),flip(a)]. 6216 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(285,a,2979,a(flip),b,5593,a),flip(a)]. 6217 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(5335(a,1),5650(a,2,2))]. 6219 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5523(a,1),5685(a,1,1,2)),flip(a)]. 6220 (1 / x) * T(K(x \ 1,y),z) = T(K(x \ 1,y),z) / x. [para(5492(a,1),5702(a,1,1,1)),flip(a)]. 6221 T(K(x \ 1,y),z) \ (T(K(x \ 1,y),z) / x) = 1 / x. [hyper(122,a,6220,a(flip),b,3365,a)]. 6222 (T(K(x \ 1,y),z) * (((1 / x) \ 1) \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(6221(a,1),2524(a,1,1,2,1,1))]. 6223 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(28(a,1),5747(a,1,1))]. 6224 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1427(a,1),5827(a,1,1))]. 6225 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(6074(a,1),5889(a,1,1))]. 6226 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(66,a,502,a,b,5914,a)]. 6227 ((K(x \ 1,x) * y) * K(x \ 1,z)) \ ((T(x \ 1,z) * x) * y) = K(K(x \ 1,z),K(x \ 1,x) * y). [hyper(122,a,5961,a(flip),b,96,a)]. 6228 ((T(x \ 1,y) * x) * z) \ ((K(x \ 1,x) * z) * K(x \ 1,y)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(5961(a,1),21(a,2,1)),flip(a)]. 6229 (K(x \ 1,x) * y) * K(x \ 1,z) = y * (T(x \ 1,z) * x). [hyper(66,a,3646,a,b,5962,a)]. 6230 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5497(a,2),6022(a,1,2))]. 6231 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(90(a,1),6040(a,2,1,1))]. 6232 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(14(a,1),6231(a,1,2,2)),flip(a)]. 6234 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(123,a,6232,a,b,xx)]. 6235 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(122,a,6232,a,b,116,a)]. 6238 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3341(a,1),6041(a,2,1))]. 6239 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(27(a,2),6238(a,1,2,2))]. 6240 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(123,a,6066,a(flip),b,2893,a)]. 6241 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),6066(a,1,1))]. 6242 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4250(a,1),6087(a,1,2))]. 6243 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4250(a,1),6088(a,1,2))]. 6244 (x * K(y,(x \ z) \ 1)) / z = (x / z) * K(y,x / z). [hyper(123,a,5956,a(flip),b,6130,a)]. 6245 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(337,a,6132,a)]. 6246 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(4596(a,1),6152(a,1,2,1)),flip(a)]. 6247 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(5361(a,1),6246(a,2,2))]. 6249 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(384,a,6191,a)]. 6250 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5327(a,1),6195(a,1,2)),flip(a)]. 6251 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(285,a,5372,a(flip),b,6250,a),flip(a)]. 6252 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(15(a,1),6251(a,1,1,1)),flip(a)]. 6253 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2853(a,1),6215(a,1,2)),flip(a)]. 6254 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(39,a,5448,a,b,6219,a(flip))]. 6256 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(128,a,6230,a)]. 6257 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6230(a,1),46(a,1))]. 6258 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(414(a,1),6230(a,1,2)),flip(a)]. 6259 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(135,a,6254,a),flip(a)]. 6261 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1149(a,1),6254(a,1,1,2))]. 6262 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6254(a,1),5454(a,1,2))]. 6263 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5452,a,6261,a),flip(a)]. 6264 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5360(a,1),6261(a,1,2,2)),flip(a)]. 6265 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(122,a,82,a(flip),b,6263,a),flip(a)]. 6266 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(122,a,6265,a,b,1479,a)]. 6267 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4483,a,6264,a)]. 6268 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6256(a,1),4922(a,1,1))]. 6269 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(5026,a,6258,a)]. 6270 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6258(a,2),46(a,1))]. 6273 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6269(a,2),4785(a,1,2))]. 6274 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(14(a,1),6268(a,1,1,2,1)),flip(a)]. 6275 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6274(a,2),47(a,1))]. 6276 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5068(a,2),505(a,1))]. 6277 R((x \ 1) / (y \ T(x \ 1,z)),y \ T(x \ 1,z),K(x,x \ 1)) = (1 / x) / (y \ T(1 / x,z)). [para(3928(a,1),5561(a,2,2))]. 6278 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5334(a,1),5621(a,1,1))]. 6279 K(L(x,y,x),y) = K(x,y). [hyper(5660,a,5371,a)]. 6280 K(T(x,x * y),y) = K(x,y). [hyper(66,a,5325,a,b,6279,a)]. 6281 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [hyper(5464,a,5679,a)]. 6283 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(4475,a,5809,a),flip(a)]. 6284 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(116(a,1),5866(a,1,2)),flip(a)]. 6285 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(285,a,3211,a(flip),b,6284,a)]. 6286 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(285,a,345,a(flip),b,5980,a),flip(a)]. 6288 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1080(a,1),6286(a,1,2))]. 6289 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(59,a,6288,a)]. 6290 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(57,a,6289,a)]. 6291 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1242(a,2),6290(a,1,1))]. 6292 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6291(a,1),4311(a,1,2)),flip(a)]. 6293 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(285,a,2554,a(flip),b,6292,a),flip(a)]. 6294 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1242(a,1),6293(a,1,1))]. 6295 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5063(a,2),6112(a,1,2))]. 6296 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(98(a,1),6226(a,1,3,2))]. 6297 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4188(a,1),6252(a,1,1)),flip(a)]. 6298 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(285,a,3997,a(flip),b,6297,a),flip(a)]. 6299 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(38,a,5406,a,b,6298,a),flip(a)]. 6300 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(285,a,5444,a,b,6299,a),flip(a)]. 6301 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4252(a,1),6300(a,1,2))]. 6302 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(180,a,6301,a)]. 6303 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5444(a,1),6302(a,1,1))]. 6304 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5149(a,2),6303(a,1,1,2))]. 6305 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(y \ 1,x \ y,x). [hyper(285,a,3935,a(flip),b,6281,a),flip(a)]. 6306 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(265,a,6295,a)]. 6307 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3826(a,1),6306(a,1,2)),flip(a)]. 6309 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(4596(a,1),6307(a,1,1,2))]. 6311 (x * K(y,z)) * y = x * T(y,z). [para(3029(a,1),6309(a,2,2))]. 6312 R(x,K(y,z),y) = x. [hyper(5282,a,6311,a)]. 6313 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(285,a,3193,a,b,6311,a),flip(a)]. 6315 x * T(y * K(x,z),x) = y * T(x,z). [hyper(264,a,6311,a)]. 6316 (x * T(y,z)) / y = x * K(y,z). [hyper(135,a,6311,a)]. 6317 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(128,a,6311,a)]. 6319 (x / T(y,z)) * K(y,z) = x / y. [hyper(123,a,17,a(flip),b,6311,a),flip(a)]. 6320 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(38,a,1224,a,b,6311,a),flip(a)]. 6321 (x / y) * T(y,z) = x * K(y,z). [hyper(38,a,1204,a,b,6311,a)]. 6322 (x * y) * K(y,z) = x * T(y,z). [hyper(38,a,1200,a,b,6311,a),flip(a)]. 6323 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6311(a,1),19(a,2,1,2)),flip(a)]. 6327 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5128(a,1),6311(a,1,1))]. 6328 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6311(a,1),5788(a,1,2,1))]. 6329 R(x,R(K(y,z),u,w),y) = x. [para(6094(a,1),6312(a,1,2))]. 6330 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6329(a,1),112(a,1,1)),flip(a)]. 6331 (x * K(y,z)) / T(y,z) = x / y. [hyper(123,a,6316,a(flip),b,1206,a(flip))]. 6332 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6316,a(flip),b,1206,a(flip))]. 6333 x / y != z * K(y,u) | z * T(y,u) = x. [para(6316(a,1),49(a,1)),flip(a)]. 6334 L(x,K(x,y),z) = x. [hyper(5281,a,6317,a)]. 6335 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(66,a,6050,a(flip),b,6334,a)]. 6336 (x * K(y,z)) * (y * K(z,y)) = x * y. [hyper(124,a,6334,a(flip),b,6050,a(flip))]. 6337 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6334(a,1),410(a,1,2,1))]. 6338 (x * K(y,z)) * R(y,u,w) = x * (K(y,z) * R(y,u,w)). [para(6334(a,1),411(a,1,2,1))]. 6343 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4495(a,1),6319(a,1,1))]. 6344 x * T(x \ y,z) = y * K(x \ y,z). [hyper(315,a,6321,a)]. 6346 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,5028,a(flip),b,6321,a),flip(a)]. 6348 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(123,a,6321,a(flip),b,6311,a)]. 6349 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(122,a,175,a(flip),b,6321,a(flip))]. 6351 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6321(a,1),882(a,1,2,1))]. 6352 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5120(a,2),6321(a,1,1))]. 6353 R(x,y,K(y,z)) = x. [hyper(5213,a,6322,a)]. 6355 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(285,a,5023,a,b,6322,a),flip(a)]. 6357 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(224,a,6322,a,b,15,a),flip(a)]. 6358 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(128,a,6322,a)]. 6359 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(122,a,17,a(flip),b,6322,a)]. 6361 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(37,a,5948,a(flip),b,6322,a(flip)),flip(a)]. 6362 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(6322(a,1),23(a,2,2,2)),flip(a)]. 6366 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6322(a,1),513(a,1))]. 6367 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6322(a,1),469(a,1,1))]. 6369 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6353(a,1),2528(a,1,1,1))]. 6372 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6332(a,1),5870(a,1,2))]. 6373 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6332(a,1),5871(a,1,1))]. 6374 L(K(x,y),x,z) = K(x,y). [hyper(5212,a,6358,a)]. 6375 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6358(a,1),240(a,1,2)),flip(b)]. 6380 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(285,a,5320,a,b,6374,a),flip(a)]. 6382 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6374(a,1),34(a,1,1)),flip(a)]. 6383 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6374(a,1),413(a,1,2,1))]. 6384 (x \ 1) * T(K(x \ 1,y),z) = x \ T(K(x \ 1,y),z). [para(6374(a,1),504(a,1,2,1)),flip(a)]. 6385 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6374(a,1),506(a,1,2,1))]. 6388 L(K(x,y),y,z) = K(x,y). [hyper(6034,a,6380,a)]. 6389 L(K(x,y),x,z) != u | K(x,y) = u. [para(6380(a,2),5332(a,1))]. 6390 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(285,a,6388,a,b,6388,a)]. 6392 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(66,a,5953,a(flip),b,6388,a)]. 6393 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(124,a,6388,a(flip),b,106,a),flip(a)]. 6394 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(124,a,6388,a(flip),b,23,a(flip))]. 6395 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6388(a,1),35(a,1,1)),flip(a)]. 6403 L(K(x,y),y,z) != u | K(x,y) = u. [para(6390(a,1),3653(a,1)),flip(b)]. 6404 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5777,a,6392,a)]. 6406 T(K(x,y / z),y) = K(x,z \ y). [hyper(66,a,6047,a,b,6392,a)]. 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(14(a,1),6392(a,1,2,1)),flip(a)]. 6408 K(x,((y * z) \ y) \ 1) = K(x,z). [para(14(a,1),6392(a,2,2))]. 6409 K(x,y \ (y / z)) = K(x,z \ 1). [para(90(a,1),6392(a,1,2,1)),flip(a)]. 6410 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(105(a,2),6392(a,1,2,1))]. 6411 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(657(a,1),6392(a,1,2,1)),flip(a)]. 6412 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(993(a,1),6392(a,1,2,1))]. 6414 T(x \ y,K(z,y \ x)) = x \ y. [para(6392(a,1),2090(a,1,2))]. 6416 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5334(a,1),6392(a,1,2,1))]. 6417 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6392(a,1),5946(a,1,1)),flip(a)]. 6418 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6392(a,1),5695(a,1,2))]. 6419 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6392(a,1),6043(a,2,2))]. 6420 K(x,y / z) * y = y * K(x,z \ y). [para(6392(a,1),6046(a,1,2)),flip(a)]. 6421 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6392(a,1),6090(a,1,1)),flip(a)]. 6422 (x * K(y,z \ x)) / z = (x / z) * K(y,x / z). [para(6392(a,1),6244(a,1,1,2))]. 6423 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5953(a,1),6403(a,1))]. 6424 K(x,x / y) = K(x,y \ x). [hyper(66,a,3343,a(flip),b,6406,a)]. 6425 K(x,(y \ z) \ z) = T(K(x,y),z). [para(87(a,1),6406(a,1,1,2)),flip(a)]. 6427 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(6406(a,1),5319(a,1,2)),flip(a)]. 6428 K(x,(y \ x) \ x) = K(x,y). [para(87(a,1),6424(a,1,2)),flip(a)]. 6429 K(x,x / (x / y)) = K(x,y). [para(90(a,1),6424(a,2,2))]. 6433 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5877(a,2,2))]. 6434 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(285,a,6388,a,b,6408,a)]. 6437 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [hyper(124,a,6414,a(flip),b,27,a(flip))]. 6439 K(x,T(y,y \ z)) = T(K(x,y),z). [para(117(a,2),6425(a,1,2))]. 6440 T(K(x,y),z * y) = K(x,T(y,z)). [para(4140(a,2),6425(a,1,2)),flip(a)]. 6441 T(K(x,y),y * z) = K(x,T(y,z)). [para(14(a,1),6439(a,1,2,2)),flip(a)]. 6442 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(285,a,6440,a,b,6441,a)]. 6443 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [hyper(124,a,6441,a(flip),b,27,a(flip))]. 6445 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(122,a,2430,a,b,6315,a),flip(a)]. 6447 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6315(a,1),263(a,1))]. 6453 (x * K(x \ y,z)) \ y = (x \ y) * K(z,x \ y). [para(15(a,1),6335(a,1,2))]. 6454 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6335(a,1),1667(a,1,2,2,1,2)),flip(a)]. 6455 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6335(a,1),1609(a,1,1)),flip(a)]. 6456 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5730,a,6336,a)]. 6457 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(123,a,17,a(flip),b,6336,a)]. 6459 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5847,a,6344,a),flip(a)]. 6460 T(K(x / y,z),x) = K(y \ x,z). [hyper(5687,a,6344,a)]. 6461 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,6344,a),flip(a)]. 6462 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(66,a,838,a(flip),b,6344,a)]. 6466 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [hyper(122,a,838,a(flip),b,6344,a(flip))]. 6467 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [hyper(37,a,5505,a(flip),b,6344,a(flip))]. 6468 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(37,a,5497,a(flip),b,6344,a(flip))]. 6471 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(6344(a,2),2202(a,1,1))]. 6472 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6344(a,2),3211(a,1,2,1)),flip(a)]. 6473 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6344(a,2),3210(a,1,1,1)),flip(a)]. 6475 K((x \ y) \ y,y) = K(x,y). [hyper(285,a,3183,a(flip),b,6459,a),flip(a)]. 6476 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [hyper(124,a,6475,a(flip),b,21,a(flip))]. 6477 K(x / y,x) = K(y \ x,x). [para(90(a,1),6475(a,1,1,1)),flip(a)]. 6478 K((x / y) \ 1,y) = K(x \ y,y). [hyper(66,a,5830,a,b,6477,a)]. 6479 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(66,a,5200,a,b,6477,a)]. 6480 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(66,a,5836,a(flip),b,6477,a),flip(a)]. 6481 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(66,a,3246,a(flip),b,6460,a)]. 6482 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(285,a,625,a(flip),b,6468,a),flip(a)]. 6484 K((x * y) \ x,z) = K(y \ 1,z). [para(14(a,1),6468(a,1,1,1)),flip(a)]. 6485 K(x \ (x / y),z) = K(y \ 1,z). [para(90(a,1),6468(a,1,1,1)),flip(a)]. 6488 K(((x / y) * x) \ (y * (x / y)),z) = K(T(y \ x,x) \ 1,z). [para(4364(a,1),6468(a,1,1,1)),flip(a)]. 6490 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5334(a,1),6468(a,1,1,1))]. 6491 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6468(a,1),5162(a,1,1))]. 6496 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(66,a,6478,a,b,6484,a)]. 6497 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(6484(a,1),399(a,1,2))]. 6511 1 / (x * K(y,x)) = K(x,y) / x. [hyper(123,a,5321,a(flip),b,6393,a)]. 6512 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(122,a,5321,a(flip),b,6393,a)]. 6513 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(5193(a,1),6393(a,1,2))]. 6514 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(66,a,5997,a(flip),b,6511,a)]. 6515 K(x,y) / x = 1 / ((y * x) / y). [para(5149(a,2),6511(a,1,2)),flip(a)]. 6516 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(6511(a,1),5254(a,2,1)),flip(a)]. 6518 K(x,y) * (1 / x) = K(x,y) / x. [hyper(5464,a,6514,a)]. 6519 T(1 / ((x * y) / x),y) = y \ K(y,x). [para(6515(a,1),118(a,1,1))]. 6520 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(756(a,1),6515(a,2,2))]. 6521 R(x,y,K(z,y)) = x. [hyper(475,a,6394,a)]. 6523 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5193(a,1),6394(a,2,2))]. 6524 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6394(a,1),6311(a,1,1))]. 6526 K(x,L(x,y,z) / u) = K(x,u \ L(x,y,z)). [hyper(38,a,3354,a(flip),b,6420,a),flip(a)]. 6527 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6442(a,2),5418(a,1,1))]. 6528 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(66,a,5393,a(flip),b,6456,a)]. 6529 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(66,a,153,a(flip),b,6456,a)]. 6533 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5193(a,1),6457(a,1,2)),flip(a)]. 6534 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(66,a,6082,a(flip),b,6467,a),flip(a)]. 6535 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(66,a,3462,a(flip),b,6467,a),flip(a)]. 6536 ((x * y) / x) * T(T(((x * y) / x) \ 1,y),z) = T(y \ K(y,x),z) * ((x * y) / x). [para(6519(a,1),424(a,1,1,1)),flip(a)]. 6537 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5193(a,1),6528(a,1,1,2))]. 6538 K(((x \ 1) * y) \ y,(x \ 1) * y) = K(x,x \ y). [hyper(285,a,5655,a(flip),b,6534,a),flip(a)]. 6540 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(112(a,1),6535(a,1,1,1))]. 6542 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(6361(a,2),5180(a,1))]. 6545 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5146(a,1),6375(a,1,1))]. 6546 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5192(a,2),6375(a,1,1))]. 6547 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [hyper(124,a,6382,a(flip),b,106,a),flip(a)]. 6548 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4598(a,2),6423(a,1))]. 6549 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6047(a,2),6423(a,1))]. 6550 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(116(a,1),6434(a,2,2,1,1))]. 6551 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6434(a,1),3653(a,1)),flip(b)]. 6554 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(12(a,1),6551(a,1,2,1,1))]. 6555 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(1959(a,2),6554(a,1,2))]. 6556 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2383(a,1),6554(a,1,2))]. 6557 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2484(a,2),6554(a,1,2))]. 6558 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3585(a,2),6554(a,1,2))]. 6559 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3497(a,1),6313(a,1,1)),flip(a)]. 6560 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(66,a,5317,a(flip),b,6357,a),flip(a)]. 6561 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5153(a,2),6416(a,1,2,1))]. 6562 K(x,T(K(y,z) * u,w) \ 1) = T(K(x,u \ K(z,y)),w). [para(6416(a,1),6007(a,2,1))]. 6563 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(285,a,2060,a(flip),b,6418,a)]. 6564 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6418(a,1),46(a,1))]. 6565 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(285,a,5564,a(flip),b,6443,a),flip(a)]. 6566 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3185(a,1),6443(a,1,2,2)),flip(a)]. 6567 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4963,a,6462,a)]. 6568 K((x \ 1) \ y,y) = K(x * y,y). [hyper(37,a,5373,a(flip),b,6462,a(flip)),flip(a)]. 6569 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6462(a,1),1671(a,2,2,1))]. 6570 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6462(a,1),4922(a,1,1))]. 6571 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6462(a,1),4927(a,1,1))]. 6572 K((x \ 1) \ y,y) = K(y * x,y). [hyper(285,a,5785,a(flip),b,6568,a),flip(a)]. 6573 K((1 / x) * y,y) = K(x \ y,y). [para(90(a,1),6568(a,1,1,1)),flip(a)]. 6574 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(17(a,1),6466(a,1,2,2,1)),flip(a)]. 6575 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(66,a,5965,a(flip),b,6471,a)]. 6576 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6575(a,1),5990(a,1,2,2))]. 6577 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6490(a,1),6080(a,2,1))]. 6578 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(66,a,1233,a,b,6513,a)]. 6580 K(K(x,x \ y) / (z * (y / x)),u) = K((z * (x \ y)) \ 1,u). [para(6523(a,1),5834(a,1,1,2))]. 6581 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5149(a,2),6524(a,1,1,2))]. 6582 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6524(a,1),5422(a,1,2))]. 6583 R(K(x,(y / z) \ L(x,u,w)),L(x,u,w),z) = K(x,(L(x,u,w) * z) / y). [para(6526(a,1),6102(a,1,1))]. 6585 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(16(a,1),6537(a,1,1)),flip(a)]. 6586 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6576(a,1),1690(a,2,2,1))]. 6587 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(66,a,153,a(flip),b,6578,a),flip(a)]. 6588 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3368,a,b,6581,a),flip(a)]. 6590 T(x / (y / z),K(z,z \ y)) = K(z \ y,z) * (x / (z \ y)). [hyper(224,a,6587,a,b,5360,a)]. 6592 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6491,a,5142,a(flip))]. 6593 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [hyper(124,a,6592,a(flip),b,27,a(flip))]. 6594 T(x,(y * z) \ y) = T(x,z \ 1). [para(14(a,1),6592(a,1,2,1)),flip(a)]. 6596 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(23(a,2),6592(a,1,2,1)),flip(a)]. 6597 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(27(a,2),6592(a,1,2,1))]. 6599 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6592(a,1),3046(a,1,2))]. 6600 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5334(a,1),6592(a,2,2))]. 6601 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(632,a,6594,a),flip(a)]. 6603 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6597(a,2),249(a,1,2))]. 6604 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(285,a,358,a,b,6601,a)]. 6605 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(185,a,6604,a)]. 6606 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4977(a,1),6605(a,1,2))]. 6607 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(6352(a,1),46(a,1)),flip(a)]. 6608 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6383(a,1),5355(a,1,2))]. 6609 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(66,a,5110,a,b,6385,a)]. 6610 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6385(a,1),5111(a,1,1,1)),flip(a)]. 6611 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2958(a,1),6417(a,1,2,1)),flip(a)]. 6612 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [hyper(124,a,6437,a(flip),b,5544,a)]. 6613 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6461(a,1),2959(a,1,2))]. 6614 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(285,a,4020,a(flip),b,6476,a),flip(a)]. 6615 x / R(1 / (y \ 1),y \ 1,x) = ((y \ 1) * x) * K(y,y \ x). [para(6538(a,1),5091(a,1,2)),flip(a)]. 6616 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(38,a,4355,a,b,6559,a)]. 6617 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5134(a,2),6616(a,1,2))]. 6618 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6617(a,1),32(a,2,1))]. 6619 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6618(a,1),394(a,1,1))]. 6620 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(117(a,1),6619(a,1,1,1))]. 6621 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6620(a,1),4572(a,1,1,1))]. 6622 (x * ((1 / y) / x)) * y != z | K(x,(x * y) \ 1) = z. [para(6563(a,2),125(a,1))]. 6623 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5197(a,2),6563(a,1,1))]. 6624 T((x / y) * K((L(y,z,u) \ 1) \ (x / y),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(1568(a,1),6571(a,2,2))]. 6625 K(x,x * (y / x)) = K(x,y). [hyper(4270,a,6614,a)]. 6626 K(x,y * x) = K(x,x * y). [para(16(a,1),6625(a,1,2,2)),flip(a)]. 6627 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4905(a,2),6625(a,1,2))]. 6628 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4912(a,1),6625(a,1,2)),flip(a)]. 6629 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4913(a,1),6625(a,1,2))]. 6630 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5063(a,2),6625(a,1,2))]. 6631 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(93(a,1),6626(a,2,2))]. 6632 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4913(a,1),6627(a,1,2,1))]. 6633 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4105(a,2),6629(a,2,2))]. 6634 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(66,a,6417,a(flip),b,6410,a)]. 6635 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6389,a,6634,a),flip(a)]. 6636 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(15(a,1),6634(a,2,2,1))]. 6637 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(15(a,1),6634(a,2,2,2))]. 6638 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(90(a,1),6634(a,1,1,2)),flip(a)]. 6639 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6634(a,1),6389(a,1))]. 6640 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(15(a,1),6635(a,1,2,1)),flip(a)]. 6641 K(x,(1 / y) * x) = K(x,y \ x). [para(162(a,1),6635(a,1,2))]. 6642 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(105(a,2),6635(a,1,2))]. 6643 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4523(a,1),6642(a,1,2))]. 6644 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [hyper(124,a,6636,a(flip),b,23,a(flip))]. 6645 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6636(a,1),6389(a,1))]. 6646 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6638(a,1,2))]. 6647 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(285,a,6032,a,b,6646,a),flip(a)]. 6648 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(16(a,1),6646(a,1,2,2)),flip(a)]. 6649 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(66,a,6395,a,b,6648,a)]. 6650 K(L(x,y * z,u) \ 1,z) = K(x \ 1,L(z,y,u)). [hyper(66,a,5977,a(flip),b,6648,a)]. 6651 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(5347,a,6647,a)]. 6652 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6647(a,2),6036(a,1))]. 6653 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(16(a,1),6651(a,1,1,2)),flip(a)]. 6654 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(87(a,1),6651(a,1,1,2)),flip(a)]. 6655 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4120(a,1),6651(a,1,1,2))]. 6656 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6403,a,6653,a),flip(a)]. 6657 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(6653(a,1),6403(a,1))]. 6658 K(L(x,y,z),y * x) = K(x,x * y). [hyper(285,a,6626,a(flip),b,6656,a),flip(a)]. 6659 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6403,a,6654,a),flip(a)]. 6660 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4072,a,6654,a)]. 6661 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(105(a,1),6654(a,2,1))]. 6662 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(268(a,1),6654(a,2,1))]. 6663 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(453(a,1),6654(a,2,1))]. 6664 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(458(a,1),6654(a,2,1))]. 6665 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(453(a,1),6659(a,1,1)),flip(a)]. 6666 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6158(a,1),6659(a,1,1))]. 6667 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6660(a,1),5314(a,1,1))]. 6669 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6648(a,1),6649(a,1,1))]. 6670 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6652(a,1,2))]. 6671 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(66,a,6669,a(flip),b,6663,a)]. 6672 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [hyper(124,a,6663,a(flip),b,23,a(flip))]. 6673 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(19(a,2),6663(a,2,1))]. 6674 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6663(a,1),6403(a,1))]. 6675 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(285,a,626,a(flip),b,6479,a)]. 6677 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(66,a,6285,a,b,6550,a)]. 6678 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(285,a,6640,a(flip),b,6643,a),flip(a)]. 6679 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(66,a,4691,a(flip),b,6662,a),flip(a)]. 6681 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(66,a,5368,a,b,6679,a)]. 6682 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3351(a,1),6330(a,2,2))]. 6683 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(37,a,5130,a(flip),b,6355,a)]. 6684 K(K(x \ 1,x) * y,z) = K(y,z). [para(1906(a,1),6683(a,1,1,1))]. 6687 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2830(a,1),6683(a,1,1))]. 6688 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2860(a,1),6683(a,1,1))]. 6689 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2888(a,1),6683(a,1,1))]. 6690 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2897(a,1),6683(a,1,1)),flip(a)]. 6691 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2909(a,1),6683(a,1,1)),flip(a)]. 6692 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2947(a,1),6683(a,1,1))]. 6694 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2975(a,1),6683(a,1,1)),flip(a)]. 6695 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3684(a,1),6683(a,1,1))]. 6696 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3897(a,1),6683(a,1,1))]. 6697 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4851(a,1),6683(a,1,1))]. 6698 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4867(a,2),6683(a,1,1))]. 6699 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4878(a,1),6683(a,1,1))]. 6702 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3710(a,1),6684(a,1,1))]. 6703 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4883(a,2),6684(a,1,1))]. 6704 K((x \ K(y \ 1,y)) * z,u) = K((x \ 1) * z,u). [para(4875(a,1),6684(a,1,1))]. 6705 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4884(a,1),6684(a,1,1))]. 6706 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4893(a,1),6684(a,1,1))]. 6707 K((((x \ 1) \ 1) * y) \ z,u) = K((x * y) \ z,u). [para(4894(a,1),6684(a,1,1))]. 6708 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(5020(a,2),6684(a,1,1))]. 6709 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(15(a,1),6687(a,2,1))]. 6710 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(3422(a,2),6687(a,1,1,2))]. 6711 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3581(a,1),6687(a,1,1,2)),flip(a)]. 6712 K(x * (y \ 1),x) = K(y \ x,x). [hyper(66,a,6572,a(flip),b,6691,a)]. 6714 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3585(a,2),6691(a,1,1,1))]. 6715 K((1 / x) \ y,y) = K(y * x,y). [para(90(a,1),6712(a,1,1,2)),flip(a)]. 6716 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5413(a,1),6712(a,1,1,2)),flip(a)]. 6717 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(6712(a,1),5807(a,1,1,1,2))]. 6718 K((1 / x) \ y,y) = K(x * y,y). [hyper(285,a,5785,a,b,6715,a),flip(a)]. 6719 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(66,a,625,a(flip),b,6718,a),flip(a)]. 6720 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(66,a,6468,a,b,6696,a)]. 6721 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [hyper(124,a,6697,a(flip),b,97,a)]. 6722 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (x \ 1),y)) * x. [para(6697(a,1),4958(a,2,1,2))]. 6723 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6697(a,1),6567(a,2,2))]. 6724 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2830(a,1),6698(a,1,1,2))]. 6725 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2947(a,1),6698(a,1,1,2))]. 6727 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3754(a,1),6698(a,1,1,2))]. 6728 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5294(a,1),6698(a,1,1,2)),flip(a)]. 6729 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,6661,a,b,6728,a)]. 6730 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4880(a,1),6703(a,1,1,1))]. 6731 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4995(a,1),6703(a,1,1,1))]. 6732 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(2947(a,1),6708(a,1,1,2))]. 6733 K((x \ K(y \ z,z \ y)) * u,w) = K((x \ 1) * u,w). [para(2618(a,1),6704(a,1,1,1,2))]. 6734 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,5966,a,b,6705,a)]. 6735 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2951(a,1),6705(a,1,1,1)),flip(a)]. 6737 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(15(a,1),6724(a,2,1,2))]. 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2520(a,2),6411(a,1,2))]. 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(66,a,6561,a(flip),b,6412,a),flip(a)]. 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(15(a,1),6739(a,1,2,1)),flip(a)]. 6741 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5251(a,1),6577(a,1,1,1)),flip(a)]. 6742 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6741(a,1),52(a,1)),flip(a)]. 6743 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(14(a,1),6599(a,1,2,2))]. 6744 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(285,a,6641,a(flip),b,6719,a),flip(a)]. 6745 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5786,a,6744,a)]. 6746 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(285,a,6640,a(flip),b,6745,a),flip(a)]. 6747 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3642(a,1),6730(a,1,1,1,2))]. 6748 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4282(a,1),6730(a,1,1,1)),flip(a)]. 6749 K(((x \ 1) * (y \ x)) \ 1,z) = (1 / x) * (K(y,z) * x). [para(5523(a,1),6734(a,1,2)),flip(a)]. 6750 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(285,a,6653,a(flip),b,6362,a),flip(a)]. 6751 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(285,a,6374,a,b,6750,a)]. 6752 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(873,a,6582,a),flip(a)]. 6753 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(90(a,1),6606(a,1,2,2)),flip(a)]. 6754 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5799(a,1),6445(a,1,1)),flip(a)]. 6755 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(285,a,6419,a,b,6623,a),flip(a)]. 6756 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6644(a,1),46(a,1)),flip(a)]. 6757 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(78(a,1),6644(a,1,2,2)),flip(a)]. 6759 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(37,a,6757,a(flip),b,6672,a),flip(a)]. 6760 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6672(a,1),46(a,1)),flip(a)]. 6761 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(15(a,1),6759(a,1,1,2)),flip(a)]. 6762 (1 / x) \ ((y \ (x \ 1)) * y) = ((y \ (x \ 1)) * y) * x. [para(5678(a,1),6722(a,2,1))]. 6763 K(x \ 1,x) * K(y \ (x \ 1),y) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,2980,a,b,6762,a)]. 6764 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(78(a,1),6743(a,2,2))]. 6765 ((x \ 1) * y) * K(x,x \ y) = y / R(x,x \ 1,y). [para(87(a,1),6615(a,1,2,1)),flip(a)]. 6767 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4656(a,1),5093(a,2,2))]. 6768 K(x \ 1,x) * K(y \ (x \ 1),y) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),5107(a,1,2))]. 6769 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(5189(a,2),1970(a,1,2))]. 6770 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(66,a,1342,a(flip),b,5600,a),flip(a)]. 6771 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1224(a,2),6770(a,2,2))]. 6772 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5342(a,1),5683(a,2,2))]. 6773 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5359(a,1),6772(a,1,2))]. 6774 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6773(a,1),221(a,1,2,1))]. 6775 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6234(a,1),5828(a,2,1,1))]. 6776 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(4181(a,1),5867(a,1,2,2)),flip(a)]. 6777 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(285,a,5595,a(flip),b,6776,a),flip(a)]. 6778 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4912(a,1),6777(a,1,2)),flip(a)]. 6779 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5950(a,1),5988(a,1,1))]. 6780 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(66,a,5887,a(flip),b,6021,a),flip(a)]. 6781 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(66,a,6468,a(flip),b,6780,a)]. 6782 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(32(a,2),6781(a,1,2))]. 6783 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5698(a,1),6111(a,1,1))]. 6786 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6783(a,2,2))]. 6787 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6786(a,1,1,2))]. 6788 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5031(a,1),6117(a,1,2,2))]. 6790 (1 / x) \ T(T(x \ 1,y),z) != u | T(T(x \ 1,y),z) * x = u. [para(6124(a,1),688(a,1))]. 6791 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6014(a,1),6147(a,1,1)),flip(a)]. 6792 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2963(a,1),6791(a,1,1)),flip(a)]. 6793 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2963(a,1),6792(a,1,1)),flip(a)]. 6794 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(285,a,4596,a(flip),b,6173,a),flip(a)]. 6795 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(6554,a,6794,a)]. 6796 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(6795(a,2),5320(a,1,1)),flip(a)]. 6797 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(285,a,5320,a(flip),b,6796,a)]. 6798 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6174,a,6180,a)]. 6799 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(268(a,1),6798(a,1,1,1))]. 6800 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6798(a,1),2446(a,1,1))]. 6801 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6798(a,1),2686(a,1,1))]. 6802 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6798(a,2),5321(a,1,1))]. 6803 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5364,a,6802,a)]. 6804 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(122,a,6803,a(flip),b,1903,a(flip))]. 6805 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(341(a,1),6804(a,1,2,1))]. 6806 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(122,a,6805,a(flip),b,1921,a(flip)),flip(a)]. 6807 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(709,a,6235,a)]. 6808 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(116(a,1),6807(a,2,2))]. 6809 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6807(a,1),6083(a,1,1,1)),flip(a)]. 6810 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(285,a,6081,a(flip),b,6809,a),flip(a)]. 6811 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6810(a,1),649(a,1,2,1)),flip(a)]. 6812 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(262,a,6283,a),flip(a)]. 6813 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4409(a,1),6812(a,2,1))]. 6814 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(23(a,2),6673(a,1,1,1,1))]. 6815 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(701,a,6755,a)]. 6816 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(66,a,6143,a(flip),b,6815,a)]. 6817 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4952(a,1),6816(a,1,2))]. 6818 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(285,a,5708,a(flip),b,6817,a),flip(a)]. 6819 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(66,a,6018,a(flip),b,6818,a)]. 6820 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4953(a,1),6818(a,1,2))]. 6821 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(571(a,1),6820(a,1,2,2))]. 6822 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(15(a,1),6761(a,1,2)),flip(a)]. 6823 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1839(a,2),6822(a,1,2))]. 6824 (x \ 1) / (y * ((1 / x) / y)) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,6763,a(flip),b,6768,a),flip(a)]. 6825 (x * (((y \ z) * y) * (1 / z))) * a(x,K((1 / z) \ K(y \ z,y),1 / z),K(y \ z,y)) = (x * K((1 / z) \ K(y \ z,y),1 / z)) * K(y \ z,y). [para(5083(a,1),5113(a,1,1,2,1))]. 6826 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(66,a,5379,a,b,5395,a)]. 6827 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5395(a,1),713(a,2,1)),flip(a)]. 6828 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5395(a,1),880(a,1,1,1))]. 6829 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5725,a,6827,a)]. 6830 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1886(a,1),6827(a,1,1,2,1,2))]. 6831 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5595(a,1),6827(a,1,1))]. 6832 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6826(a,1),1620(a,1,1,2)),flip(a)]. 6833 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5397(a,1),880(a,1,1,1))]. 6834 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(838(a,1),5507(a,1,2))]. 6835 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(783(a,2),5611(a,1,2,2,1))]. 6836 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5795(a,1),5796(a,1,1,1))]. 6837 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(285,a,6057,a(flip),b,6064,a),flip(a)]. 6838 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1408(a,1),6201(a,1,2))]. 6839 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(285,a,5816,a(flip),b,6472,a),flip(a)]. 6840 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(66,a,6677,a(flip),b,6839,a),flip(a)]. 6841 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(66,a,6468,a(flip),b,6840,a),flip(a)]. 6842 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6423,a,6841,a),flip(a)]. 6843 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(27(a,2),6842(a,2,2))]. 6844 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(17(a,1),6843(a,1,1,1)),flip(a)]. 6845 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(66,a,5807,a(flip),b,6717,a),flip(a)]. 6846 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(34(a,1),6845(a,1,1))]. 6847 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(6181(a,1),6845(a,1,1)),flip(a)]. 6848 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6751(a,1,1,1))]. 6849 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3820(a,1),6753(a,2,2))]. 6850 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(66,a,3824,a(flip),b,6849,a),flip(a)]. 6851 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3029(a,1),6850(a,1,2,2)),flip(a)]. 6852 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3029(a,1),6851(a,1,1,1)),flip(a)]. 6853 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(180,a,6852,a)]. 6854 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(118(a,1),6853(a,1,1,1,1))]. 6855 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(118(a,1),6854(a,2,2))]. 6856 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(285,a,116,a(flip),b,6800,a),flip(a)]. 6859 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2610(a,2),6801(a,2,2))]. 6860 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1814(a,1),6835(a,1,2))]. 6862 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6838(a,1),479(a,1))]. 6863 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(66,a,6856,a(flip),b,6859,a),flip(a)]. 6864 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(180,a,6863,a)]. 6865 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5054(a,1,1,2))]. 6866 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(37,a,5795,a,b,6865,a(flip))]. 6868 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(453(a,1),6866(a,1,2)),flip(a)]. 6869 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(19(a,2),6868(a,2,2))]. 6870 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(1972,a,5188,a)]. 6871 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6423,a,6870,a)]. 6873 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3914,a,b,6871,a)]. 6874 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3730,a,b,6873,a)]. 6875 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3239,a(flip),b,6874,a)]. 6876 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,6871,a,b,6875,a),flip(a)]. 6877 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5136(a,2),5231(a,2,2,1,1))]. 6878 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(122,a,5236,a(flip),b,5157,a),flip(a)]. 6879 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(4596(a,1),5736(a,1,2,2))]. 6880 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(5981(a,1),5985(a,1,1,2)),flip(a)]. 6881 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5319(a,1),6880(a,1,2,1)),flip(a)]. 6882 K(x \ y,y \ x) * K(x \ y,z) = T((y \ x) \ 1,z) * (y \ x). [para(6468(a,1),6001(a,1,2))]. 6883 T((x \ y) \ 1,z) * (x \ y) = T(y \ x,z) * (1 / (y \ x)). [hyper(66,a,5813,a(flip),b,6882,a),flip(a)]. 6884 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(285,a,1965,a(flip),b,6070,a),flip(a)]. 6886 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(116(a,1),6116(a,1,2,2,2))]. 6887 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(6123(a,2),6886(a,2,2,2,2))]. 6888 (x \ K(y \ 1,z)) * ((x \ 1) \ 1) = K(((x \ y) * x) \ 1,z). [hyper(66,a,6706,a(flip),b,6144,a),flip(a)]. 6889 K(((x \ y) * x) \ 1,y) = K(y \ 1,y). [hyper(4984,a,6888,a),flip(a)]. 6890 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(13(a,1),6155(a,2,1,2,2))]. 6891 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(66,a,5822,a(flip),b,6168,a)]. 6893 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(90(a,1),6245(a,1,1,1,1,2)),flip(a)]. 6894 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6468(a,1),6893(a,1,2))]. 6895 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(6697(a,1),6894(a,1,2))]. 6896 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(37,a,4692,a,b,6895,a)]. 6897 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(6896(a,1),5977(a,1,1))]. 6898 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6322(a,1),6367(a,1,2)),flip(a)]. 6899 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(285,a,25,a,b,6898,a),flip(a)]. 6900 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6898(a,2),479(a,1))]. 6901 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(66,a,36,a,b,6899,a)]. 6902 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(14(a,1),6569(a,1,1,2,1)),flip(a)]. 6903 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6731(a,1),6723(a,2,2))]. 6904 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(66,a,6886,a(flip),b,6788,a),flip(a)]. 6905 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(242(a,1),6788(a,1,2))]. 6906 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5822(a,1),6891(a,2,1))]. 6907 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(285,a,6895,a(flip),b,6903,a),flip(a)]. 6908 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(224,a,6906,a(flip),b,6175,a(flip)),flip(a)]. 6910 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(27(a,2),6908(a,1,2,1,1,2)),flip(a)]. 6911 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(285,a,5497,a,b,6910,a),flip(a)]. 6912 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6468(a,1),6911(a,1,1,2)),flip(a)]. 6913 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(66,a,4946,a(flip),b,4968,a),flip(a)]. 6914 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3757(a,2),4975(a,1,1))]. 6915 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5245(a,1),5250(a,1,2))]. 6916 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5925(a,1),6915(a,2,3))]. 6917 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4250(a,1),6916(a,1,2))]. 6918 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(285,a,5258,a(flip),b,6028,a),flip(a)]. 6920 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(285,a,5708,a(flip),b,6109,a),flip(a)]. 6921 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(66,a,6095,a(flip),b,6920,a)]. 6922 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6424(a,1),6921(a,1,1))]. 6923 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(32(a,2),6540(a,1,2))]. 6924 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(14(a,1),6828(a,2,1,1))]. 6925 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(14(a,1),6833(a,2,1,1))]. 6926 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5063(a,2),6913(a,1,2))]. 6927 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(262,a,6914,a),flip(a)]. 6928 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6681(a,1),6927(a,2,1))]. 6929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6928(a,1),6018(a,1,2)),flip(a)]. 6930 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(285,a,5448,a(flip),b,6929,a),flip(a)]. 6932 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(66,a,6819,a(flip),b,6930,a)]. 6933 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(66,a,6429,a(flip),b,6930,a)]. 6934 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(6933(a,1),6090(a,1,1))]. 6935 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(112(a,1),6932(a,1,2,2,2))]. 6936 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(285,a,3729,a(flip),b,6923,a),flip(a)]. 6938 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6936(a,1),3390(a,1,1))]. 6939 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(265,a,6926,a),flip(a)]. 6940 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5439(a,1),5108(a,1,1,2,1))]. 6941 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(135,a,6940,a)]. 6942 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [hyper(185,a,6941,a(flip))]. 6943 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5360(a,1),5465(a,2,2))]. 6944 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(285,a,14,a(flip),b,6943,a),flip(a)]. 6947 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(6944(a,1),53(a,1)),flip(a)]. 6948 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(222(a,1),5626(a,1,2)),flip(a)]. 6949 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5320(a,1),6948(a,1,1,2,1))]. 6950 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(223(a,1),5627(a,1,2)),flip(a)]. 6951 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5320(a,1),6950(a,1,1,2,1))]. 6952 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(14(a,1),6020(a,1,1,2,1)),flip(a)]. 6953 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6468(a,1),6952(a,1,2,1,2))]. 6954 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(4598(a,1),6052(a,1,1,2))]. 6955 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(6511(a,1),6193(a,2,1))]. 6956 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5150(a,1),6955(a,1,1,1))]. 6957 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(180,a,6956,a)]. 6958 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6957(a,1,1,2))]. 6959 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(32(a,2),6782(a,2,2))]. 6960 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(66,a,989,a(flip),b,6878,a)]. 6962 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3022(a,1),6954(a,1,1))]. 6963 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(6711(a,1),6962(a,1,1,1))]. 6964 (((x \ 1) * y) \ y) * T(L(y,x \ 1,x) / x,x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(118(a,2),6031(a,1,2))]. 6965 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3138(a,1),6119(a,1,2,1,1))]. 6966 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3341(a,1),6965(a,1,2))]. 6967 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(66,a,5714,a(flip),b,6473,a),flip(a)]. 6969 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1417(a,1),6967(a,1,1))]. 6970 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(66,a,5827,a(flip),b,6969,a)]. 6971 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6729(a,1),6613(a,1,1))]. 6972 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1673(a,2),6834(a,1,2))]. 6973 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(265,a,6972,a)]. 6974 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5994(a,1),6973(a,1,2)),flip(a)]. 6975 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5144(a,1),6974(a,2,2))]. 6976 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(90(a,1),6975(a,1,1,2,1))]. 6977 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(90(a,1),6976(a,2,2,1,2))]. 6978 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(122,a,802,a(flip),b,6977,a(flip))]. 6979 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(122,a,6977,a(flip),b,6787,a(flip))]. 6982 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(117(a,1),6978(a,2,1))]. 6983 L(K(x,y),y \ 1,z) = K(x,y). [hyper(66,a,5490,a(flip),b,6979,a)]. 6984 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(6979(a,1),134(a,1,2)),flip(b)]. 6986 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,5977,a(flip),b,6983,a)]. 6988 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6982(a,1),4922(a,1,1)),flip(a)]. 6989 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(66,a,4313,a(flip),b,6988,a)]. 6990 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(90(a,1),6989(a,2,1,1,1))]. 6991 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(66,a,4316,a(flip),b,6990,a)]. 6992 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * ((y * x) / x)). [para(16(a,1),6991(a,1,1,1)),flip(a)]. 6993 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * y). [para(16(a,1),6992(a,2,2,2))]. 6994 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(118(a,1),4825(a,1,2))]. 6996 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(66,a,4994,a(flip),b,6994,a)]. 6997 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(87(a,1),6996(a,1,1,1)),flip(a)]. 6999 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(66,a,3936,a(flip),b,6997,a)]. 7000 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(183(a,1),6999(a,1,1)),flip(a)]. 7001 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(117(a,2),7000(a,1,1))]. 7002 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4996(a,1),4993(a,2,2))]. 7003 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(66,a,5498,a,b,5057,a)]. 7004 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6747(a,1),7003(a,1,2))]. 7005 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6273(a,1),7004(a,2,1))]. 7006 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5125(a,2),7005(a,2,1,1))]. 7007 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(124,a,2701,a(flip),b,7006,a),flip(a)]. 7008 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(117(a,1),7007(a,2,2,2))]. 7009 (x / y) * T(T((x / y) \ 1,z),u) = (x * T(T(x \ y,z),u)) / y. [para(5829(a,1),5512(a,1,1,2,1)),flip(a)]. 7010 (x * y) * T((y * T(x,y)) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),5748(a,1,1))]. 7011 (x * y) * T((x * y) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),7010(a,1,2,1,1))]. 7012 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(112(a,1),5919(a,1,1)),flip(a)]. 7013 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(4477,a,7012,a),flip(a)]. 7014 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(5579,a,7013,a)]. 7016 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,6922,a(flip),b,7014,a)]. 7017 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,7014,a),flip(a)]. 7018 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(15(a,1),7014(a,1,2)),flip(a)]. 7019 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5157(a,1),7014(a,1,2))]. 7020 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5529(a,1),7014(a,1,2)),flip(a)]. 7021 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(66,a,3613,a,b,7017,a)]. 7022 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(122,a,7017,a(flip),b,3613,a)]. 7023 K(R(x,x \ 1,y),z) = K(x,z). [hyper(285,a,352,a(flip),b,7018,a),flip(a)]. 7024 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(110(a,1),7018(a,1,1))]. 7026 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(37,a,3692,a,b,7021,a)]. 7027 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(7022(a,1),5216(a,1,2)),flip(a)]. 7028 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(128,a,7026,a)]. 7030 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(66,a,5013,a(flip),b,7028,a)]. 7031 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(90(a,1),7024(a,1,1,2,1)),flip(a)]. 7032 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(17(a,1),7031(a,2,1,1))]. 7033 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(17(a,1),7031(a,2,1,2))]. 7034 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(3900,a,7027,a)]. 7035 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6477(a,1),7032(a,1,1))]. 7036 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6093(a,2),7034(a,1,2))]. 7037 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4231(a,2),7016(a,1,2,1,1))]. 7038 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4344,a,7036,a)]. 7039 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(136,a,7038,a)]. 7040 x / R(x,y,z) = R(x,y,z) \ x. [hyper(66,a,1616,a(flip),b,7039,a)]. 7041 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(136,a,7040,a)]. 7042 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(7040(a,1),6098(a,1,1,2))]. 7043 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(4704(a,1),7041(a,1,1,1))]. 7044 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(7041(a,1),4926(a,1,1,1))]. 7045 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5287,a,7044,a)]. 7046 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(4704(a,1),7043(a,1,2))]. 7047 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(322,a,7046,a)]. 7048 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(66,a,4854,a(flip),b,7047,a)]. 7049 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [hyper(124,a,7048,a(flip),b,117,a(flip))]. 7050 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5191(a,1),5926(a,1,1))]. 7051 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1563,a,7050,a)]. 7052 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5245(a,1),7051(a,2,1))]. 7053 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4250(a,1),7052(a,2,1))]. 7054 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = (K(w,v5) / v5) / (K(x \ (z * y),(z * y) \ x) / T(v5,w)). [para(6876(a,1),6131(a,2,2,1))]. 7055 (T(K(x \ 1,y),z) * (x \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(90(a,1),6222(a,1,1,2,1))]. 7056 ((x \ 1) * T(K(x \ 1,y),z)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(3349(a,1),7055(a,1,1))]. 7057 T(K(x \ 1,y),z) * K(x \ 1,x) = (x \ T(K(x \ 1,y),z)) * x. [para(6384(a,1),7056(a,1,1)),flip(a)]. 7058 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ T(K(x \ 1,z),y)) * x. [para(6080(a,2),7057(a,1,1))]. 7059 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ K(T(x,y) \ 1,z)) * x. [para(6080(a,2),7058(a,2,1,2))]. 7060 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(285,a,4932,a,b,6351,a)]. 7061 ((x * y) * T(T((x * y) \ x,y),z)) / x = T(y \ K(y,x),z) * ((x * y) / x). [hyper(66,a,7009,a(flip),b,6536,a)]. 7062 (x * (y * T(T(y \ 1,y),z))) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(831(a,1),7061(a,1,1))]. 7063 T(x \ K(x,y),z) * ((y * x) / y) = (y * (T(x \ 1,z) * x)) / y. [para(221(a,1),7062(a,1,1,2)),flip(a)]. 7064 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3839(a,1),7060(a,1,1)),flip(a)]. 7065 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7064(a,1),6372(a,1,1)),flip(a)]. 7066 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(7064(a,1),6373(a,1,2)),flip(a)]. 7067 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3657(a,1),5009(a,1,2))]. 7068 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4869(a,1),5010(a,1,2)),flip(a)]. 7069 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(285,a,23,a,b,7068,a),flip(a)]. 7072 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1388(a,1),7069(a,1,2)),flip(a)]. 7074 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(66,a,6983,a(flip),b,7072,a),flip(a)]. 7077 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [hyper(124,a,7074,a(flip),b,23,a(flip))]. 7078 R(x,y,K(z,y \ 1)) = x. [hyper(475,a,7077,a)]. 7080 R(x,y \ 1,K(z,y)) = x. [para(4596(a,1),7078(a,1,3))]. 7081 R(x,y \ z,K(u,z \ y)) = x. [para(6392(a,1),7078(a,1,3))]. 7082 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(66,a,5209,a(flip),b,7080,a)]. 7083 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7081(a,1),462(a,1,1))]. 7084 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5128(a,1),7082(a,1,2))]. 7085 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(180,a,7084,a)]. 7087 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7083(a,1),6890(a,1,2))]. 7088 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(66,a,6612,a(flip),b,7087,a),flip(a)]. 7090 T(x,(y \ z) * (z \ y)) = x. [hyper(57,a,7088,a)]. 7093 T(x,y * ((z * y) \ z)) = x. [para(14(a,1),7090(a,1,2,1))]. 7096 K(x,y * ((z * y) \ z)) = 1. [hyper(58,a,7093,a)]. 7098 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(774,a,5398,a),flip(a)]. 7099 T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). [hyper(5890,a,7098,a)]. 7100 ((x * y) * z) \ (R(y,x,z) * (x * z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(223(a,1),5815(a,1,2))]. 7101 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(112(a,1),7100(a,1,2)),flip(a)]. 7102 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(66,a,5704,a(flip),b,5974,a),flip(a)]. 7104 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(285,a,5830,a(flip),b,7102,a),flip(a)]. 7105 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,5704,a(flip),b,7104,a)]. 7107 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(66,a,5830,a(flip),b,7105,a)]. 7108 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6836(a,1),6077(a,1,1))]. 7109 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(285,a,5718,a(flip),b,7108,a),flip(a)]. 7110 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(35(a,1),7109(a,1,1,2))]. 7111 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1354(a,1),6118(a,1,2))]. 7112 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(14(a,1),7111(a,1,2,1,2,1))]. 7113 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6779(a,1),6609(a,1,1))]. 7114 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(66,a,5602,a(flip),b,6905,a),flip(a)]. 7116 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(66,a,6904,a(flip),b,7114,a)]. 7117 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(242(a,1),7116(a,1,2,2))]. 7118 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,x \ y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(5623(a,2),6964(a,1,2,1))]. 7119 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(66,a,4842,a(flip),b,7067,a)]. 7120 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3749(a,1),7119(a,1,2))]. 7121 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5664,a,7120,a),flip(a)]. 7123 R(x,1 / y,z) = R(x,y \ 1,z). [para(1103(a,1),7121(a,1,2)),flip(a)]. 7127 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7123(a,1),3589(a,1,2))]. 7128 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2954(a,1),7127(a,1,2,1))]. 7129 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4039(a,1),7128(a,1,2,1)),flip(a)]. 7130 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4711(a,1),7129(a,1,1)),flip(a)]. 7131 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(180,a,7130,a)]. 7132 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(66,a,3425,a(flip),b,7131,a)]. 7133 T(x,y * (((z * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(90(a,1),4997(a,1,2,2,1,1,1))]. 7135 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3735(a,1),7133(a,1,2,2,1)),flip(a)]. 7136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(66,a,7002,a,b,7135,a)]. 7137 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3646(a,1),7136(a,1,2))]. 7138 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(66,a,4809,a(flip),b,7137,a),flip(a)]. 7140 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(122,a,7138,a(flip),b,5130,a(flip)),flip(a)]. 7141 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(285,a,5125,a,b,7140,a),flip(a)]. 7142 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1905(a,1),7141(a,1,2,2,1))]. 7143 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(15(a,1),7142(a,2,2))]. 7144 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(87(a,1),7142(a,1,2,2,1)),flip(a)]. 7145 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(90(a,1),7142(a,1,2,2)),flip(a)]. 7146 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2770(a,2),7142(a,1,2,2))]. 7147 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(14(a,1),7143(a,1,2,2)),flip(a)]. 7148 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2960(a,1),7143(a,1,2,2))]. 7149 K(x,K(y \ 1,y) * z) = K(x,z). [para(2991(a,1),7143(a,1,2))]. 7150 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2649(a,1),7149(a,1,2)),flip(a)]. 7153 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2915(a,1),7149(a,1,2))]. 7154 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2976(a,1),7149(a,1,2))]. 7155 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(3130(a,1),7149(a,1,2))]. 7156 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3656(a,2),7149(a,1,2))]. 7157 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3892(a,1),7149(a,1,2)),flip(a)]. 7158 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4852(a,1),7149(a,1,2)),flip(a)]. 7159 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4883(a,2),7149(a,1,2))]. 7160 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4884(a,1),7149(a,1,2))]. 7161 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4886(a,1),7149(a,1,2))]. 7163 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4895(a,1),7149(a,1,2))]. 7164 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(5020(a,2),7149(a,1,2))]. 7165 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5021(a,2),7149(a,1,2))]. 7167 K(x,(1 / x) * y) * y = x * (y / x). [para(7147(a,2),5571(a,1,1))]. 7169 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2933(a,2),7153(a,1,2,1))]. 7170 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(66,a,6208,a(flip),b,7154,a),flip(a)]. 7171 x * K(x \ (1 / y),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(7154(a,1),3621(a,1,2))]. 7172 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7157(a,1),6934(a,1,1)),flip(a)]. 7173 (1 / x) * K(y,y \ (x \ 1)) = y * ((1 / x) / y). [hyper(124,a,7158,a(flip),b,5434,a)]. 7174 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [hyper(124,a,7158,a(flip),b,5408,a)]. 7175 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5729(a,1),7167(a,1,1))]. 7176 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2649(a,1),7156(a,1,2,1)),flip(a)]. 7178 K(x,(T(y \ 1,y) * z) / u) = K(x,((y \ 1) * z) / u). [para(3743(a,1),7156(a,1,2,1))]. 7179 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1906(a,1),7159(a,1,2,1,1))]. 7180 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2860(a,1),7159(a,1,2,1))]. 7181 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(2975(a,1),7159(a,1,2,1)),flip(a)]. 7182 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3637(a,1),7159(a,1,2)),flip(a)]. 7183 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1906(a,1),7164(a,1,2,2,1))]. 7184 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2888(a,1),7164(a,1,2,2))]. 7185 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(2947(a,1),7164(a,1,2,2))]. 7186 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4879(a,1),7164(a,1,2,2)),flip(a)]. 7187 K(x,y / (T(z \ 1,z) * u)) = K(x,y / ((z \ 1) * u)). [para(5158(a,1),7164(a,1,2,2)),flip(a)]. 7188 K(x,y / (z * (1 / (1 / (z \ u))))) = K(x,y / u). [para(2617(a,1),7165(a,1,2,2))]. 7189 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(66,a,4666,a(flip),b,7170,a)]. 7190 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(66,a,4665,a(flip),b,7170,a),flip(a)]. 7191 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(124,a,7170,a(flip),b,5434,a),flip(a)]. 7192 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(7190(a,1),5500(a,2,2))]. 7193 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7190(a,1),6211(a,1,2))]. 7194 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4894(a,1),7179(a,1,2,1))]. 7195 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5036(a,2),7179(a,1,2,1))]. 7196 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(2835(a,1),7182(a,1,2,2))]. 7197 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2888(a,1),7182(a,1,2,2))]. 7198 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2947(a,1),7182(a,1,2,2))]. 7199 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3710(a,1),7183(a,1,2,2))]. 7200 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3711(a,1),7183(a,1,2,2))]. 7201 K(x,y / ((((z \ 1) \ 1) * u) \ w)) = K(x,y / ((z * u) \ w)). [para(4894(a,1),7183(a,1,2,2))]. 7202 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(5962(a,1),7183(a,1,2,2))]. 7203 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(66,a,6611,a,b,7160,a)]. 7204 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(7161(a,1),5619(a,1,2,2))]. 7206 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(87(a,1),7176(a,1,2,1,2)),flip(a)]. 7207 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(66,a,2922,a(flip),b,7191,a),flip(a)]. 7208 ((1 / ((1 / x) * (x / y))) \ y) * K(((1 / x) * (x / y)) \ 1,a(1 / x,x / y,y)) = y / (1 / ((1 / x) * (x / y))). [para(865(a,1),7193(a,1,2,2))]. 7209 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(6497,a,7207,a)]. 7210 x * K(y,x * (y \ 1)) = y * (x / y). [para(3341(a,1),7207(a,1,2))]. 7211 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(37,a,5435,a,b,7210,a),flip(a)]. 7212 T(x,y * (x \ 1)) = T(x,y / x). [hyper(224,a,7210,a(flip),b,6321,a),flip(a)]. 7214 K(x,y * (1 / x)) = K(x,x \ y). [hyper(66,a,7150,a,b,7211,a)]. 7215 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(285,a,4123,a(flip),b,7212,a),flip(a)]. 7216 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(7214(a,1),5344(a,1,2)),flip(a)]. 7217 K(x * (1 / y),y) = K(y \ x,y). [hyper(285,a,5344,a(flip),b,7216,a),flip(a)]. 7218 K(x * (y \ 1),y) = K(y \ x,y). [hyper(66,a,6688,a(flip),b,7217,a)]. 7219 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(87(a,1),7217(a,1,1,2)),flip(a)]. 7220 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(66,a,5328,a(flip),b,7218,a)]. 7221 K(x \ (y / (x \ 1)),x) = K(y,x). [para(17(a,1),7218(a,1,1)),flip(a)]. 7222 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(7221(a,1),5390(a,2,2))]. 7223 K(R(x,y,y \ 1),y) = K(x,y). [hyper(285,a,625,a(flip),b,7220,a),flip(a)]. 7224 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5297,a,7223,a),flip(a)]. 7226 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(7223(a,1),6520(a,1,1))]. 7227 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5138,a,7224,a),flip(a)]. 7228 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(285,a,3789,a,b,7224,a),flip(a)]. 7229 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(122,a,7227,a,b,5130,a(flip)),flip(a)]. 7230 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(285,a,5125,a,b,7229,a)]. 7231 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(285,a,3769,a,b,7229,a),flip(a)]. 7232 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(7230(a,1),5426(a,1,1))]. 7233 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(285,a,6408,a(flip),b,7219,a),flip(a)]. 7234 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(66,a,4660,a(flip),b,7219,a),flip(a)]. 7235 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [hyper(124,a,7219,a(flip),b,97,a),flip(a)]. 7236 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(7234(a,1),5252(a,1,1,2))]. 7237 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(7236(a,1),5597(a,1,1)),flip(a)]. 7238 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(7231(a,2),4369(a,2,1,1))]. 7239 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5464,a,7232,a)]. 7240 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(7209(a,1),6433(a,1,1)),flip(a)]. 7241 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5771,a,7235,a)]. 7242 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(15(a,1),7235(a,2,2,1))]. 7243 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(225,a,7237,a),flip(a)]. 7244 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(7243(a,1),1830(a,1,2,1,1))]. 7245 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(7243(a,2),1830(a,1,1))]. 7246 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(16(a,1),7175(a,2,2))]. 7247 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5313,a,7246,a),flip(a)]. 7248 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(66,a,7023,a,b,7247,a)]. 7249 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2961(a,1),7247(a,1,2))]. 7250 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2984(a,1),7249(a,1,2,1)),flip(a)]. 7251 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(66,a,5982,a(flip),b,7226,a),flip(a)]. 7252 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1246(a,1),7251(a,1,2,1))]. 7253 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(180,a,7252,a),flip(a)]. 7254 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(337,a,7253,a)]. 7255 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(7222(a,1),1334(a,2,1,2))]. 7256 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(4596(a,1),7240(a,1,2))]. 7257 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(7218(a,1),7256(a,1,2)),flip(a)]. 7258 x * ((y * (x / y)) \ 1) = K(y \ x,y). [hyper(124,a,7257,a,b,xx)]. 7260 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(66,a,4738,a(flip),b,7254,a)]. 7261 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(285,a,5055,a(flip),b,7260,a),flip(a)]. 7262 x * K(x \ (y \ 1),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(6697(a,1),7171(a,1,2))]. 7263 K(x,y / (z * ((u \ 1) * x))) = K(x,y / (z * (x / u))). [hyper(66,a,6904,a(flip),b,7186,a)]. 7264 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2948(a,1),7195(a,1,2,1,1)),flip(a)]. 7265 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(87(a,1),7199(a,1,2,2,1,2)),flip(a)]. 7266 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6392(a,1),7242(a,2,2))]. 7267 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(285,a,5435,a(flip),b,7266,a),flip(a)]. 7269 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(66,a,6216,a,b,7267,a)]. 7270 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(136,a,7269,a)]. 7271 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(597(a,1),7269(a,1,1))]. 7272 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(285,a,4741,a(flip),b,7271,a),flip(a)]. 7273 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(388,a,7272,a)]. 7274 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(14(a,1),7273(a,1,3)),flip(a)]. 7275 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(66,a,3776,a(flip),b,7274,a)]. 7276 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(4197(a,1),7274(a,1,2))]. 7277 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7275(a,1),1591(a,1,1,2))]. 7278 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1831,a,7277,a)]. 7279 (x * y) \ T(x,y) = (y * x) \ x. [hyper(66,a,4525,a(flip),b,7278,a)]. 7280 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(316,a,7279,a),flip(a)]. 7281 (x * y) * T(R(1 / y,y,x),x * y) = T(x,y). [hyper(124,a,6214,a,b,7279,a)]. 7282 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(246(a,1),7279(a,1,1))]. 7283 x * (T(y,x) * T(y \ (x \ y),z)) = (y * x) * T((x * y) \ y,z). [para(7279(a,1),7011(a,1,2,1)),flip(a)]. 7284 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(263,a,7281,a),flip(a)]. 7285 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(123,a,7281,a(flip),b,116,a(flip))]. 7286 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(122,a,7281,a(flip),b,116,a(flip))]. 7287 T(x,y) = (x / (y * x)) * (x * y). [hyper(285,a,365,a(flip),b,7284,a),flip(a)]. 7288 (x / (y * x)) \ T(x,y) = x * y. [hyper(122,a,7284,a,b,365,a(flip))]. 7289 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(7284(a,2),414(a,1,2,1,2))]. 7290 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(123,a,7287,a,b,152,a(flip))]. 7291 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7287(a,2),6322(a,1,1)),flip(a)]. 7293 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = ((x \ 1) * y) * K(x,x \ 1). [para(7288(a,1),3928(a,1,1)),flip(a)]. 7294 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(622,a,7285,a)]. 7295 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(7285(a,1),1514(a,1,1)),flip(a)]. 7296 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4076(a,1),7290(a,1,1))]. 7297 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(118(a,1),7294(a,1,3)),flip(a)]. 7298 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7297(a,1),367(a,1,1))]. 7299 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7298(a,1),723(a,1,2))]. 7300 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3029(a,1),7296(a,1,1))]. 7301 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5233(a,1),7296(a,1,1))]. 7303 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [hyper(180,a,7300,a(flip))]. 7304 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(285,a,357,a(flip),b,7276,a),flip(a)]. 7305 (1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))). [hyper(66,a,2755,a(flip),b,7262,a),flip(a)]. 7306 (1 / x) * (1 / (1 / ((1 / x) \ y))) = x \ (1 / (1 / (x * y))). [hyper(66,a,3620,a,b,7305,a)]. 7307 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = K(R(x,z,u) \ 1,y \ x). [hyper(285,a,5969,a(flip),b,7172,a),flip(a)]. 7308 (x * y) * T((y * x) \ x,z) = K(y \ 1,z) * T(x,y). [hyper(6187,a,7283,a),flip(a)]. 7309 (x * y) * T((y * x) \ x,z) != u | K(y \ 1,z) * T(x,y) = u. [para(7283(a,1),6187(a,1))]. 7310 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(32(a,2),7289(a,2,1))]. 7311 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(7279(a,1),7310(a,1,2,1)),flip(a)]. 7312 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [hyper(285,a,7308,a(flip),b,7311,a),flip(a)]. 7313 R(T(1 / x,y),x,z) * (z * x) != u | K(x \ 1,y) * T(z,x) = u. [para(7311(a,2),7309(a,1))]. 7314 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(285,a,1490,a,b,7312,a),flip(a)]. 7315 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6086(a,1),7146(a,1,2,2,2))]. 7316 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(66,a,6626,a(flip),b,7155,a)]. 7317 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(87(a,1),7204(a,1,2,2,2,2))]. 7319 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(285,a,4929,a,b,7317,a)]. 7320 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6551,a,7233,a)]. 7322 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(718(a,1),7238(a,1,1,2))]. 7323 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(7228(a,2),7322(a,1,1)),flip(a)]. 7324 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(185,a,7323,a)]. 7325 T(K(x,y),z) * T(K(y,x),z) = 1. [hyper(138,a,7323,a)]. 7326 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [hyper(124,a,7323,a(flip),b,465,a),flip(a)]. 7327 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(124,a,7323,a(flip),b,5134,a(flip))]. 7328 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(5973(a,1),7323(a,1,1,1)),flip(a)]. 7329 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7323(a,1),5357(a,1,2,1))]. 7331 K(K(x,y),z) = K(z,K(y,x)). [hyper(5478,a,7327,a)]. 7332 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2240,a,7327,a)]. 7333 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(66,a,6608,a,b,7327,a)]. 7334 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7327(a,1),5478(a,1))]. 7335 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6441(a,1),7327(a,1,2))]. 7336 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(124,a,7331,a,b,5125,a(flip))]. 7337 K(x,K(y,z)) * K(x,K(z,y)) = 1. [hyper(124,a,7331,a(flip),b,5320,a)]. 7338 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(7331(a,1),5190(a,2,1)),flip(a)]. 7339 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(7331(a,1),5364(a,1,1))]. 7340 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7331(a,1),5219(a,1,1))]. 7341 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5610,a,7336,a),flip(a)]. 7342 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5377,a,7336,a)]. 7343 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(7336(a,1),5191(a,1,1))]. 7344 T(K(x,y),K(z,y)) = K(x,y). [hyper(2235,a,7342,a),flip(a)]. 7345 T(K(x,y),K(x,z)) = K(x,y). [hyper(2230,a,7342,a),flip(a)]. 7347 K(x,y) * K(z,y) = K(z,y) * K(x,y). [hyper(124,a,7344,a(flip),b,27,a(flip))]. 7351 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(66,a,6527,a(flip),b,7332,a)]. 7353 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(66,a,7331,a(flip),b,7351,a),flip(a)]. 7354 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(32(a,2),7328(a,2,1))]. 7355 T(R(K(x,y),z,u) \ 1,w) = R(T(K(x,y),w),z,u) \ 1. [para(5975(a,1),7354(a,1,1))]. 7356 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = (1 / x) * y. [hyper(285,a,2950,a(flip),b,7293,a),flip(a)]. 7357 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(15(a,1),7316(a,1,2)),flip(a)]. 7359 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2398(a,2),7357(a,1,2,1))]. 7360 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(66,a,7250,a,b,7359,a)]. 7361 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(285,a,6630,a(flip),b,7360,a),flip(a)]. 7362 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6276,a,7319,a),flip(a)]. 7363 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2955,a,7362,a)]. 7364 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [hyper(2412,a,7362,a)]. 7365 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(66,a,5468,a,b,7362,a)]. 7366 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(315,a,7363,a)]. 7368 (x * ((1 / y) / x)) * y = K(x,x \ (y \ 1)). [hyper(4947,a,7366,a)]. 7369 K(x,(x * y) \ 1) = K(x,x \ (y \ 1)). [hyper(6622,a,7368,a)]. 7370 (x * K(y,y \ 1)) / K(z,z \ y) = x / ((y \ 1) * (z * (y / z))). [para(7364(a,1),4840(a,2,2))]. 7371 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6189(a,1),7365(a,1,2))]. 7372 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7323(a,1),7326(a,1,3)),flip(a)]. 7373 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7372(a,1),47(a,1))]. 7374 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(931(a,1),7255(a,1,2,1))]. 7375 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(7222(a,1),7374(a,1,2)),flip(a)]. 7376 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(180,a,7375,a)]. 7377 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(6393(a,1),7376(a,1,1))]. 7378 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(709,a,7377,a)]. 7379 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(138,a,7377,a)]. 7380 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7377(a,1),240(a,1,2)),flip(b)]. 7382 L(x,K(y,x),z) = x. [para(3185(a,1),7378(a,1,1))]. 7383 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(7382(a,1),34(a,1,1)),flip(a)]. 7384 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(7382(a,1),35(a,1,1)),flip(a)]. 7385 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(7382(a,1),413(a,1,2,1))]. 7388 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(7383(a,1),3249(a,1,2,2)),flip(a)]. 7389 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(7384(a,1),444(a,1,2,2)),flip(a)]. 7390 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(285,a,6394,a,b,7379,a),flip(a)]. 7392 (x * K(y,z)) * K(z,y) = x. [hyper(38,a,6336,a(flip),b,7379,a),flip(a)]. 7393 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(123,a,7379,a(flip),b,6336,a)]. 7394 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6322(a,1),7379(a,1,1)),flip(a)]. 7395 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6984,a,7392,a),flip(a)]. 7396 x / K(y,z) = x * K(z,y). [hyper(293,a,7392,a),flip(a)]. 7398 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(224,a,7392,a,b,5360,a)]. 7399 (x * K(y,z)) \ x = K(z,y). [hyper(128,a,7392,a)]. 7400 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(122,a,117,a,b,7392,a)]. 7401 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(38,a,7343,a,b,7392,a),flip(a)]. 7402 (x * T(y,z)) * K(z,y) = x * y. [hyper(38,a,6322,a,b,7392,a),flip(a)]. 7403 (x / y) * K(z,y) = x / T(y,z). [hyper(38,a,6319,a,b,7392,a),flip(a)]. 7404 (T(x,y) \ K(x,z)) * K(z,x) = T(x,y) \ 1. [hyper(38,a,6045,a,b,7392,a),flip(a)]. 7405 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(38,a,5631,a,b,7392,a),flip(a)]. 7406 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(38,a,2229,a,b,7392,a),flip(a)]. 7408 (x * K(y,z)) / z = x / T(z,y). [hyper(123,a,7392,a(flip),b,6321,a),flip(a)]. 7409 x * K(y,z) != u | u * K(z,y) = x. [para(7392(a,1),47(a,1)),flip(a)]. 7410 x / K(y,z) != u | x * K(z,y) = u. [para(7392(a,1),294(a,1,1)),flip(b)]. 7411 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7392(a,1),304(a,1,2)),flip(b)]. 7413 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7392(a,1),103(a,1,1))]. 7414 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7392(a,1),113(a,2,1))]. 7415 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7392(a,1),447(a,1,2,2))]. 7416 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7392(a,1),647(a,1,1,2))]. 7417 (x * K(y,z)) * T(z,y) = x * z. [para(7392(a,1),6311(a,1,1)),flip(a)]. 7418 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7392(a,1),6977(a,1,1)),flip(a)]. 7419 (x / T(y,z)) / K(z,y) = x / y. [hyper(285,a,6319,a(flip),b,7396,a),flip(a)]. 7420 (x * K(y,y \ 1)) / K(z,y) = x * (T(y,z) * (1 / y)). [hyper(285,a,5814,a(flip),b,7396,a),flip(a)]. 7421 (x * K(y,y \ 1)) * K(z \ y,z) = x / ((y \ 1) * (z * (y / z))). [hyper(66,a,7370,a(flip),b,7396,a),flip(a)]. 7422 (x * K(y,z)) * K(z,y) != u | x = u. [para(7396(a,1),237(a,1,1))]. 7425 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7396(a,1),487(a,1,1))]. 7426 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),708(a,1,1,2))]. 7427 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7396(a,1),1847(a,1,1,2))]. 7428 x / (K(y,z) \ 1) = x * K(y,z). [para(5320(a,2),7396(a,1,2))]. 7431 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(285,a,5950,a(flip),b,7399,a),flip(a)]. 7432 (x / T(y,z)) * y = x * K(z,y). [hyper(42,a,6359,a,b,7399,a)]. 7433 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7399(a,2),5334(a,1,1))]. 7434 (x / y) \ (x / T(y,z)) = K(z,y). [para(6319(a,1),7399(a,1,1))]. 7435 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6320(a,1),7399(a,1,1))]. 7436 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6344(a,2),7399(a,1,1))]. 7437 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6462(a,2),7399(a,1,1))]. 7438 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(6461(a,1),7399(a,1,1)),flip(a)]. 7439 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(6759(a,1),7399(a,1,1,2))]. 7440 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7018(a,1),7399(a,1,1,2)),flip(a)]. 7441 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(224,a,7402,a,b,5360,a)]. 7444 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7402(a,1),6311(a,1,1)),flip(a)]. 7445 ((x * T(y,z)) / z) * K(z,y) = (x * y) / z. [para(7402(a,1),6348(a,1,1)),flip(a)]. 7447 x / T(y \ x,z) = y * K(z,y \ x). [hyper(315,a,7403,a),flip(a)]. 7448 (x / y) * K(x,y) = T(x,y) / y. [hyper(285,a,4120,a,b,7403,a),flip(a)]. 7450 T(x / y,K(x,y)) = x / y. [hyper(224,a,7403,a,b,5584,a)]. 7452 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(7403(a,1),315(a,1))]. 7453 T(x / y,K(y,x)) = x / y. [hyper(43,a,7342,a,b,7450,a)]. 7455 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7405(a,1),113(a,2,2))]. 7456 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(7408(a,1),118(a,1,1))]. 7457 T(x * K(y,z),T(z,y)) = T(z,y) \ (x * z). [hyper(224,a,7417,a,b,15,a)]. 7458 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(128,a,7417,a)]. 7459 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(123,a,5197,a(flip),b,7417,a)]. 7460 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(122,a,5146,a(flip),b,7417,a)]. 7461 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(122,a,15,a(flip),b,7417,a)]. 7468 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(224,a,7428,a(flip),b,5360,a),flip(a)]. 7470 x * K(y,z) != u * z | x / T(z,y) = u. [para(7432(a,1),47(a,1))]. 7475 (x \ y) \ (y / T(T(x,x \ y),z)) = K(z,T(x,x \ y)). [para(249(a,1),7434(a,1,1))]. 7477 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(66,a,5402,a(flip),b,7448,a)]. 7479 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(7448(a,1),447(a,1,1))]. 7481 T(x,((y \ x) * y) \ 1) = (z * K(x \ 1,x)) \ (z * x). [para(6889(a,1),7458(a,1,1,2)),flip(a)]. 7485 T(x * K(y,x),z) \ T(x,z) != u | K(T(x,z),y) = u. [para(5595(a,1),7411(a,1,1))]. 7486 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5795(a,1),7411(a,1,1))]. 7487 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5798(a,1),7411(a,1,1))]. 7493 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6322(a,1),7422(a,1,1))]. 7495 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(7390(a,2),225(a,2))]. 7496 T(K(x,y) * z,K(x,y)) = z * K(x,y). [hyper(43,a,7342,a,b,7398,a)]. 7499 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(7398(a,1),383(a,1,2,1))]. 7500 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5334(a,2),7401(a,1,1))]. 7502 (((x \ y) \ y) * z) \ (x * z) = K(x \ y,T(x,z)). [para(117(a,1),7435(a,1,1,1))]. 7504 ((x * (y * T(y \ z,u))) / z) \ x = K(u,((x * y) / z) \ x). [para(1413(a,1),7436(a,1,1))]. 7505 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(7436(a,1),2570(a,2,1,2,1))]. 7507 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [hyper(285,a,112,a,b,7444,a),flip(a)]. 7508 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7444(a,1),4149(a,1,2))]. 7509 (x * K(y,x \ z)) \ z != u | T(x \ z,y) = u. [para(7447(a,1),307(a,1,1)),flip(b)]. 7511 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7496(a,1),28(a,1,1)),flip(a)]. 7512 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7496(a,2),225(a,2)),flip(a)]. 7513 x / T(K(y,z),x) = K(y,z) \ x. [hyper(38,a,4116,a,b,7500,a)]. 7514 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(180,a,7513,a)]. 7515 (K(x,y) * z) \ z = T(K(y,x),z). [para(5334(a,1),7514(a,1,1))]. 7516 x * ((K(y,z) * x) \ x) = K(z,y) * x. [hyper(124,a,7515,a,b,27,a(flip))]. 7518 (x * T(y / z,z)) * z = (x * (y / z)) * (y / (y / z)). [para(5129(a,2),7394(a,1,2)),flip(a)]. 7519 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(7394(a,1),5583(a,1,1))]. 7520 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(7395(a,1),7411(a,1,1))]. 7521 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5150(a,1),7418(a,1,2,1))]. 7522 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(17(a,1),7437(a,1,1,2,1)),flip(a)]. 7523 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5344(a,2),7468(a,1,1))]. 7526 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4153,a,7507,a)]. 7530 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(90(a,1),7438(a,2,1))]. 7531 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(66,a,6104,a(flip),b,7440,a),flip(a)]. 7532 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(124,a,6104,a(flip),b,7440,a(flip))]. 7533 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(185,a,7531,a)]. 7535 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6267(a,1),7531(a,1,1,2)),flip(a)]. 7536 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7531(a,1),7192(a,1,1)),flip(a)]. 7537 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(7532(a,1),304(a,1,2)),flip(b)]. 7539 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(7535(a,2),7411(a,1))]. 7540 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5764(a,1),7477(a,1,2))]. 7541 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7540(a,1),200(a,2,2))]. 7542 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(949(a,2),7425(a,2,2))]. 7543 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5446(a,1),7425(a,2,2))]. 7544 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(T(T(x,z),u),y) = w. [para(5595(a,1),7485(a,1,1,1))]. 7546 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7508(a,1),647(a,1))]. 7548 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(5490(a,1),7520(a,1))]. 7549 K((x * y) \ 1,x) != z | K(y \ (x \ 1),x) = z. [para(6662(a,1),7548(a,1))]. 7550 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5834(a,2),7549(a,1))]. 7551 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(7440(a,2),7537(a,1))]. 7552 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(176(a,1),7551(a,1,2,2))]. 7553 x / ((T(y,z) \ 1) * y) = x * (T(y,z) * (1 / y)). [hyper(66,a,5802,a(flip),b,7420,a)]. 7554 ((T(x,y) \ 1) * x) \ 1 = T(x,y) * (1 / x). [hyper(4701,a,7553,a)]. 7555 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = ((T(y,z) \ 1) * y) * ((T(y,z) * (1 / y)) * x). [para(7554(a,1),242(a,1,2,1)),flip(a)]. 7556 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5981(a,1),7431(a,1,1,2))]. 7557 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(185,a,7556,a)]. 7558 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(140,a,7556,a),flip(a)]. 7559 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(66,a,278,a,b,7556,a)]. 7560 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7556(a,1),297(a,1,2)),flip(b)]. 7561 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),7556(a,1,1))]. 7562 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7558(a,1),46(a,1)),flip(a)]. 7563 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7558(a,1),304(a,1,2)),flip(b)]. 7565 T(x,((y \ x) * y) \ 1) = T(x,x \ 1). [hyper(285,a,7458,a(flip),b,7481,a),flip(a)]. 7566 T(x,(y * (x / y)) \ 1) = T(x,x \ 1). [para(90(a,1),7565(a,1,2,1,1))]. 7567 (x * (y / z)) * (y / (y / z)) = (x * (z \ y)) * z. [para(118(a,1),7518(a,1,1,2)),flip(a)]. 7568 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(479,a,7519,a),flip(a)]. 7572 (((x * y) * T((x * y) \ (y * z),u)) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(1184(a,2),7504(a,1,1,1))]. 7573 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5335(a,1),7521(a,1,1,2))]. 7574 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5738(a,1),7573(a,2,2))]. 7575 R(x,K(y \ 1,z),y) = x. [hyper(5005,a,7574,a)]. 7576 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,7574,a)]. 7577 R(x,y,K(y \ 1,z)) = x. [hyper(6862,a,7575,a)]. 7579 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(7577(a,1),112(a,1,1)),flip(a)]. 7580 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(445,a,7579,a)]. 7581 a(x,y,K(y \ 1,z)) = 1. [hyper(56,a,7580,a)]. 7582 a(x,y \ 1,K(y,z)) = 1. [para(3341(a,1),7581(a,1,3))]. 7583 L(K(x,y),x \ 1,z) = K(x,y). [hyper(55,a,7582,a)]. 7584 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(66,a,5946,a(flip),b,7583,a)]. 7585 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [hyper(124,a,7584,a(flip),b,5125,a(flip)),flip(a)]. 7586 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(285,a,5130,a,b,7585,a),flip(a)]. 7587 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7415,a,7561,a)]. 7588 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7396(a,1),7427(a,2,2))]. 7589 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(7411,a,7439,a),flip(a)]. 7590 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(138,a,7588,a)]. 7591 ((x * (y * T(y \ (x \ (y * z)),u))) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(830(a,1),7572(a,1,1,1))]. 7592 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(116(a,1),7591(a,1,1,1,2))]. 7593 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((x * y) / z) \ y). [para(116(a,1),7592(a,2,2,1,1))]. 7594 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((y * x) / z) \ x). [para(4972(a,1),7593(a,1,1,1))]. 7595 K(x,((y * x) / z) \ x) = K(x,((x * y) / z) \ x). [hyper(66,a,7504,a(flip),b,7594,a),flip(a)]. 7596 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(66,a,5835,a(flip),b,7189,a),flip(a)]. 7598 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(66,a,5835,a(flip),b,7596,a),flip(a)]. 7600 (x * (y / x)) / (((x \ 1) * y) \ y) = ((x \ 1) * y) * K(x,x \ y). [para(6538(a,1),5401(a,1,2)),flip(a)]. 7601 (x * (y / x)) / (((x \ 1) * y) \ y) = y / R(x,x \ 1,y). [hyper(285,a,6765,a(flip),b,7600,a),flip(a)]. 7602 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),5411(a,1,2,1,2,2))]. 7603 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(66,a,2155,a(flip),b,7602,a)]. 7604 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(116(a,1),7603(a,1,1,2))]. 7605 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4940(a,1),7604(a,1,1))]. 7606 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(295,a,7605,a)]. 7608 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7606(a,1),6877(a,1,1))]. 7609 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(295,a,7608,a),flip(a)]. 7610 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6366,a,7609,a)]. 7612 x / T(y,T(y,z) \ x) = y \ x. [hyper(7470,a,7610,a)]. 7613 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(37,a,271,a,b,7610,a),flip(a)]. 7615 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(39,a,249,a,b,7612,a),flip(a)]. 7618 K((x / y) \ z,x / y) = K((y \ x) \ z,x / y). [para(118(a,1),7613(a,1,1,1)),flip(a)]. 7620 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7613(a,1),5869(a,1,1,1,2))]. 7623 T(x,x \ (T(x,y) * z)) = T(x,z). [para(14(a,1),7615(a,1,2)),flip(a)]. 7625 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7623(a,1),3979(a,1,2))]. 7626 T(x,K(x,y) * z) = T(x,z). [para(5514(a,1),7623(a,1,2))]. 7627 T(x,K(x,y) \ z) = T(x,z). [para(15(a,1),7626(a,1,2)),flip(a)]. 7628 T(x,K(y,x) * z) = T(x,z). [para(5360(a,1),7626(a,1,2)),flip(a)]. 7629 T(x,T(y,x) * z) = T(x,y * z). [para(5158(a,1),7626(a,1,2)),flip(a)]. 7630 T(x,T(x,y) * z) = T(x,x * z). [para(5219(a,1),7626(a,1,2))]. 7633 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7626(a,1),5595(a,1,1))]. 7634 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5854(a,1),7626(a,1,2)),flip(a)]. 7635 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5196(a,2),7627(a,1,2))]. 7637 T(x,K(y,x) * T(x,z)) = x. [hyper(285,a,170,a(flip),b,7628,a),flip(a)]. 7638 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7628(a,1),4524(a,1,3))]. 7639 T(x,y * T(z,x)) = T(x,y * z). [para(5832(a,1),7628(a,1,2))]. 7640 T(x,y \ T(z,x)) = T(x,y \ z). [para(5824(a,1),7628(a,1,2))]. 7642 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7629(a,1),853(a,1,1)),flip(a)]. 7643 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(66,a,4182,a,b,7635,a)]. 7644 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(118(a,1),7640(a,1,2,2)),flip(a)]. 7645 T(x / (x / y),z) \ x = x / T(y,z). [para(5073(a,2),7620(a,1,1,1))]. 7646 L(x,x \ y,x) \ y = y / T(x,y). [para(5097(a,1),7620(a,1,1))]. 7647 x / T(y,L(y,z,u) * (y \ x)) = L(y,y \ x,L(y,z,u)) \ x. [para(5394(a,1),7620(a,1,1)),flip(a)]. 7649 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(185,a,7645,a)]. 7651 T(x / (x / K(y,z)),x) = K(y,z). [hyper(42,a,7513,a(flip),b,7645,a),flip(a)]. 7653 x / T(y \ x,z) = T(x / y,z) \ x. [para(87(a,1),7645(a,1,1,1,2)),flip(a)]. 7654 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(181(a,1),7645(a,1,1,1)),flip(a)]. 7655 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(6942(a,1),7645(a,1,1,1)),flip(a)]. 7656 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7651(a,1),52(a,1)),flip(a)]. 7658 T(x / (x / y),x) = x / (T(x,y) / y). [para(4120(a,2),7649(a,1,2)),flip(a)]. 7660 T(x / y,z) \ x = y * K(z,y \ x). [hyper(7452,a,7653,a),flip(a)]. 7661 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(180,a,7653,a)]. 7662 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(122,a,7653,a(flip),b,7447,a(flip))]. 7664 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(117(a,2),7654(a,1,2,1))]. 7665 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(282(a,2),7654(a,1,2))]. 7666 x / T((y \ x) * y,z) = T((y \ x) * y,z) \ x. [para(5432(a,1),7654(a,1,2,1))]. 7667 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(66,a,4273,a(flip),b,7658,a)]. 7668 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(7667(a,2),4942(a,1,1,1,2))]. 7669 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(185,a,7660,a)]. 7671 L(K(x,(y \ 1) \ z),y \ 1,y) != u | y * (T(z / (y \ 1),x) \ z) = u. [para(7662(a,1),539(a,1,1))]. 7673 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [para(7664(a,1),7475(a,1,2))]. 7674 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(180,a,7665,a),flip(a)]. 7675 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(27(a,2),7669(a,1,2,2,2))]. 7676 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(66,a,7371,a(flip),b,7666,a),flip(a)]. 7677 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(16(a,1),7675(a,2,1))]. 7678 T(x,y) \ (x * z) = z * K(y,T(x,z)). [hyper(180,a,7677,a)]. 7679 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(5944,a,7678,a)]. 7680 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(5675,a,7678,a),flip(a)]. 7681 K(x,T(y,z)) = T(K(x,y),z). [hyper(5592,a,7678,a),flip(a)]. 7682 x * K(y,T(z,x)) = K(y,z) * x. [hyper(5591,a,7678,a),flip(a)]. 7683 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [hyper(66,a,4297,a,b,7678,a)]. 7684 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7678(a,1),5591(a,1))]. 7685 T(K(x * y,x),y) = K(x * y,x). [hyper(6122,a,7681,a),flip(a)]. 7686 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(285,a,7338,a,b,7681,a)]. 7687 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(285,a,6459,a,b,7681,a)]. 7688 K(x,T(y,y \ z)) = K(x,T(y,z)). [hyper(285,a,6439,a,b,7681,a)]. 7689 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(285,a,6425,a,b,7681,a)]. 7690 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(285,a,6108,a,b,7681,a)]. 7691 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(285,a,6080,a,b,7681,a)]. 7692 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(285,a,6007,a,b,7681,a),flip(a)]. 7693 K(x,T(y,K(x,z))) = K(x,y). [hyper(285,a,7345,a(flip),b,7681,a),flip(a)]. 7694 K(x / y,T(z,x)) = K(y \ x,z). [hyper(285,a,6460,a(flip),b,7681,a),flip(a)]. 7695 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(285,a,6441,a(flip),b,7681,a),flip(a)]. 7696 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(285,a,6440,a(flip),b,7681,a),flip(a)]. 7697 K(x,T(y / z,y)) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7681,a),flip(a)]. 7698 K(x,T(y,z * (x / z))) = K(x,y). [hyper(285,a,4930,a(flip),b,7681,a),flip(a)]. 7699 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(285,a,3371,a(flip),b,7681,a),flip(a)]. 7700 K(x,T(y,T(x,z))) = K(x,y). [hyper(285,a,3359,a(flip),b,7681,a),flip(a)]. 7701 K(x,T(y,K(z,x))) = K(x,y). [hyper(285,a,2227,a(flip),b,7681,a),flip(a)]. 7702 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(124,a,7681,a,b,7515,a)]. 7703 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(66,a,6439,a(flip),b,7681,a),flip(a)]. 7704 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(124,a,7681,a(flip),b,5125,a(flip))]. 7705 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(30(a,2),7681(a,1,2))]. 7707 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7681(a,2),582(a,1,2,2))]. 7708 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7681(a,2),6549(a,1))]. 7709 K(x,T(y,z)) * T(K(y,x),z) = 1. [para(7681(a,2),7325(a,1,1))]. 7710 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7681(a,2),7327(a,1,2))]. 7711 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7681(a,2),7340(a,2,1))]. 7712 T(R(K(x,y),z,u) \ 1,w) = R(K(x,T(y,w)),z,u) \ 1. [para(7681(a,2),7355(a,2,1,1))]. 7713 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7329(a,1,1))]. 7714 T(K(x,y),K(z,y) * T(y,u)) = K(x,y). [para(7637(a,1),7681(a,1,2)),flip(a)]. 7715 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7681(a,2),7681(a,1,2))]. 7716 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [hyper(124,a,7700,a(flip),b,5722,a),flip(a)]. 7717 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(118(a,1),7700(a,1,2)),flip(a)]. 7718 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7700(a,2),3193(a,1,2))]. 7720 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(118(a,1),7699(a,1,2)),flip(a)]. 7721 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7699(a,1),5890(a,1,2))]. 7723 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(7409,a,7682,a)]. 7724 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(37,a,3354,a,b,7682,a),flip(a)]. 7725 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(30(a,2),7682(a,1,2,2))]. 7726 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7682(a,1),46(a,1))]. 7727 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(3980(a,1),7682(a,1,2,2))]. 7728 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5617(a,1),7682(a,1,2,2))]. 7729 K(x * y,x) * y = y * K(x * y,x). [para(5765(a,1),7682(a,1,2)),flip(a)]. 7730 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(118(a,1),7724(a,1,2)),flip(a)]. 7731 K(x,T(y,(1 / (z / x)) * z)) = K(x,y). [para(507(a,1),7724(a,1,2,2))]. 7732 R(x,y,K(z,T(y,u))) = x. [para(7687(a,1),6521(a,1,3))]. 7733 R(x,y \ 1,K(z,T(y,u))) = x. [para(7687(a,1),7080(a,1,3))]. 7734 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7732(a,1),112(a,1,1)),flip(a)]. 7735 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5150(a,1),7733(a,1,3,2))]. 7736 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(124,a,7688,a(flip),b,7673,a)]. 7737 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4313(a,2),7688(a,1,2,2))]. 7738 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(66,a,617,a,b,7689,a)]. 7739 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(1240(a,1),7689(a,1,2,1))]. 7740 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(4286(a,1),7689(a,1,2)),flip(a)]. 7741 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7689(a,1),6634(a,1,1)),flip(a)]. 7742 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(7433(a,1),7689(a,1,2)),flip(a)]. 7743 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(66,a,7031,a,b,7694,a)]. 7744 K(x / y,x \ z) = K(y \ x,z / x). [para(118(a,1),7694(a,1,2))]. 7745 K(L(x,y,z) / u,T(x,w)) = K(u \ L(x,y,z),T(x,w)). [para(199(a,1),7694(a,1,2))]. 7746 T((x / y) \ 1,K(y \ x,z)) = (x / y) \ 1. [para(7694(a,1),1383(a,1,2))]. 7748 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7694(a,1),4072(a,1,3))]. 7750 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5566(a,1),7694(a,1,2))]. 7753 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7694(a,1),7031(a,1,1)),flip(a)]. 7754 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(490(a,1),7697(a,1,2))]. 7755 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(118(a,1),7698(a,1,2)),flip(a)]. 7756 x * K(T(y,x),z) = K(y,z) * x. [hyper(7409,a,7702,a)]. 7757 T(K(x,y),y) != z | K(x,y) = z. [para(7703(a,1),192(a,1))]. 7758 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6012,a,7704,a),flip(a)]. 7759 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7704(a,1),7333(a,1,2,2))]. 7760 K(T(x,y),z) = T(K(x,z),y). [hyper(5364,a,7709,a)]. 7761 K(T(x,y),z) = K(x,T(z,y)). [hyper(285,a,7681,a,b,7760,a),flip(a)]. 7762 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(285,a,6459,a,b,7760,a)]. 7763 K(T(x \ K(x,y),y),z) = K(x \ 1,z). [hyper(285,a,6741,a(flip),b,7760,a),flip(a)]. 7764 K(T(x,y),y / z) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7760,a),flip(a)]. 7765 x * K(T(y,x),z) = K(z,y) \ x. [hyper(124,a,7760,a,b,5449,a)]. 7767 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7760(a,1),5190(a,2,1)),flip(a)]. 7768 K(T(x * y,x),y) = K(x * y,y). [hyper(285,a,5784,a(flip),b,7761,a),flip(a)]. 7769 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(66,a,7399,a,b,7761,a)]. 7770 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(66,a,3346,a(flip),b,7761,a),flip(a)]. 7771 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(124,a,7761,a(flip),b,7434,a)]. 7772 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(32(a,2),7761(a,1,1))]. 7773 K(T(x,R(y,z,u)),y) = K(x,y). [para(168(a,1),7761(a,2,2))]. 7774 K(x / y,T(z,y)) = K(y \ x,z). [para(118(a,1),7761(a,1,1)),flip(a)]. 7775 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(191(a,1),7761(a,1,1)),flip(a)]. 7776 K((x * y) / x,T(z,x)) = K(y,z). [para(208(a,1),7761(a,1,1)),flip(a)]. 7777 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(197(a,1),7761(a,1,1)),flip(a)]. 7778 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1383(a,1),7761(a,1,1)),flip(a)]. 7779 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7761(a,1),5190(a,2,1)),flip(a)]. 7781 R(x,y,K(T(y,z),u)) = x. [para(7761(a,2),6353(a,1,3))]. 7782 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7761(a,1),7409(a,1,2))]. 7783 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7761(a,1),7411(a,1,1,2))]. 7784 (x * K(y,T(x \ z,u))) \ z = T(x \ z,T(y,u)). [para(7761(a,1),7461(a,1,1,2))]. 7785 (x * K(y,T(x \ z,u))) \ z != w | T(x \ z,T(y,u)) = w. [para(7761(a,1),7509(a,1,1,2))]. 7786 R(x,(y * z) / y,K(z,u)) = x. [para(208(a,1),7781(a,1,3,1))]. 7788 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7786(a,1),463(a,1,1))]. 7789 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2102,a,7756,a),flip(a)]. 7790 K(x / y,z) * y = y * K(y \ x,z). [para(118(a,1),7756(a,1,2,1)),flip(a)]. 7792 K(T(x,x \ y),z) = K(T(x,y),z). [para(117(a,2),7762(a,1,1))]. 7793 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7762(a,1,1,1)),flip(a)]. 7794 K(T(x,y * x),z) = K(T(x,y),z). [para(4140(a,2),7762(a,1,1)),flip(a)]. 7795 K(T(x \ 1,x * y),z) = K(T(x \ 1,y),z). [para(4285(a,2),7762(a,1,1))]. 7796 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7762(a,1),6661(a,1,1)),flip(a)]. 7797 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7433(a,1),7762(a,1,1)),flip(a)]. 7798 K(T(T(x / y,z),x),u) = K(T(y \ x,z),u). [para(7661(a,1),7762(a,1,1)),flip(a)]. 7799 K(T(T(x,y),x \ z),u) = K(T(T(x,y),z),u). [para(7674(a,2),7762(a,1,1))]. 7800 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(197(a,1),7764(a,1,1))]. 7801 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(198(a,1),7764(a,1,1))]. 7802 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6557,a,7774,a)]. 7803 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(66,a,5836,a(flip),b,7774,a),flip(a)]. 7804 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(169(a,1),7774(a,1,2))]. 7806 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7775(a,1),5190(a,2,1))]. 7807 R(x,T(y,z),K(u,y)) = x. [para(7776(a,1),6521(a,1,3))]. 7808 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(4836,a,7807,a),flip(a)]. 7809 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(66,a,7414,a(flip),b,7807,a),flip(a)]. 7810 R(x,y \ K(y,z),K(u,y)) = x. [para(5359(a,1),7735(a,1,2))]. 7811 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(66,a,7455,a(flip),b,7810,a)]. 7812 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(118(a,1),7777(a,1,2)),flip(a)]. 7813 K(((x / y) * x) \ (y * (x / y)),z) = K((y \ x) \ 1,T(z,x)). [hyper(66,a,6488,a,b,7691,a)]. 7814 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(169(a,1),7691(a,1,1,1)),flip(a)]. 7815 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(66,a,7335,a(flip),b,7710,a)]. 7816 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(66,a,7353,a,b,7815,a)]. 7817 R(x,y * z,K(y,K(z,u))) = x. [para(7816(a,1),6353(a,1,3))]. 7818 R(x,y * z,K(y,K(z,u))) != w | x = w. [para(7817(a,1),54(a,2))]. 7819 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6712(a,1),7729(a,1,1)),flip(a)]. 7820 K(x,T(y,((z / x) \ 1) * z)) = K(x,y). [para(4813(a,1),7731(a,1,2))]. 7821 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(7736(a,1),7417(a,1,1))]. 7823 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7769(a,1),7411(a,1))]. 7824 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7778(a,1),5177(a,1,2)),flip(a)]. 7825 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5744,a,7779,a)]. 7828 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(285,a,7691,a,b,7803,a)]. 7829 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(285,a,5190,a,b,7806,a),flip(a)]. 7830 T(x,T(y,T(x,z))) = T(x,y). [para(115(a,1),7829(a,1,2,2,1))]. 7832 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5150(a,1),7829(a,1,2,2,1))]. 7833 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(230(a,1),7830(a,1,2,2))]. 7834 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5150(a,1),7830(a,1,2,2))]. 7835 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7830(a,1),5723(a,1,1)),flip(a)]. 7837 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7681(a,2),7825(a,1,2,2))]. 7838 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(66,a,6467,a(flip),b,7828,a)]. 7839 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7838(a,1),5302(a,2,2,2)),flip(a)]. 7842 K(x,(((y / x) \ 1) * y) / z) != u | K(x,z \ (((y / x) \ 1) * y)) = u. [para(7820(a,1),7708(a,1))]. 7843 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4184(a,1),7683(a,1,2,1))]. 7844 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(66,a,7117,a(flip),b,7730,a),flip(a)]. 7845 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(3090(a,1),7844(a,1,2,1))]. 7846 K(L(x,y,y \ 1) \ z,x) = u / (K(x,x \ z) * u). [para(7845(a,1),5448(a,1,2,1)),flip(a)]. 7847 K(x,T((y * z) \ 1,z \ 1)) = K(x,T((y * z) \ 1,y)). [para(6594(a,1),7740(a,1,2))]. 7848 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6560(a,2),7759(a,1,2))]. 7849 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(118(a,1),7771(a,1,2,2))]. 7850 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7808(a,1),3024(a,2,2))]. 7852 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5130(a,2),7811(a,1,1))]. 7853 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(180,a,7852,a(flip))]. 7854 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5318(a,1),7853(a,2,2))]. 7855 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7833(a,1),28(a,1,1)),flip(a)]. 7856 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(66,a,6917,a(flip),b,7834,a)]. 7857 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [hyper(124,a,7834,a(flip),b,27,a(flip))]. 7858 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5208,a,7848,a)]. 7859 K(x,K(y,z)) = K(z,K(y,x)). [hyper(66,a,7816,a(flip),b,7858,a)]. 7860 K(K(x,y),z) = K(x,K(y,z)). [hyper(7334,a,7859,a)]. 7861 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(285,a,7858,a(flip),b,7859,a),flip(a)]. 7862 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(124,a,7859,a,b,5125,a(flip))]. 7863 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [hyper(124,a,7859,a,b,21,a(flip))]. 7864 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7859(a,1),5142(a,2,1)),flip(a)]. 7865 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7859(a,1),5162(a,1,1))]. 7867 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(7859(a,1),7337(a,1,1))]. 7868 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7859(a,1),7338(a,1,1))]. 7869 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7859(a,1),7340(a,1,1))]. 7870 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(285,a,5973,a(flip),b,7860,a),flip(a)]. 7871 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [hyper(124,a,7860,a(flip),b,6358,a)]. 7872 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(124,a,7860,a(flip),b,5125,a(flip))]. 7873 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7860(a,1),5180(a,1,2))]. 7875 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(7860(a,1),5525(a,1,1,1))]. 7876 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7860(a,1),5983(a,2,1))]. 7877 (x * (y / K(z,u))) / (K(z,u) \ y) = x * K(z,K(u,K(z,u) \ y)). [para(7860(a,1),6578(a,2,2))]. 7878 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(93(a,1),7861(a,1,2,2))]. 7879 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6626(a,1),7861(a,1,2))]. 7881 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7339,a,7867,a)]. 7882 K(K(x,y),z) = K(y,K(z,x)). [hyper(5364,a,7867,a)]. 7883 K(K(x,y),z) = K(y,K(x,z)). [hyper(285,a,7860,a,b,7881,a)]. 7884 K(x,K(y,z)) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7881,a),flip(a)]. 7885 L(K(x \ 1,K(y,z)),u,w) = K(y,K(L(x,u,w) \ 1,z)). [hyper(285,a,5977,a,b,7881,a)]. 7886 K(x,K(y,x \ y)) = 1. [hyper(285,a,5624,a(flip),b,7881,a),flip(a)]. 7888 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(124,a,7881,a,b,5125,a(flip))]. 7889 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7881(a,1),5190(a,2,1)),flip(a)]. 7891 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7881(a,1),5259(a,1,1))]. 7892 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7881(a,1),5152(a,1,2,1))]. 7893 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(7881(a,1),5525(a,1,1,1))]. 7894 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(7881(a,1),5542(a,2,2))]. 7895 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(7881(a,1),5537(a,1,1,1))]. 7896 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7881(a,1),6375(a,1,2))]. 7897 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6626(a,2),7881(a,1,2))]. 7898 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(7881(a,1),6899(a,1,3))]. 7900 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(7881(a,1),7686(a,1,1))]. 7901 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7881(a,1),7862(a,1,2))]. 7902 T(x,K(y,x \ y)) = x. [hyper(59,a,7886,a)]. 7903 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(7902(a,1),5178(a,1,2,1)),flip(a)]. 7906 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [hyper(124,a,7882,a(flip),b,5125,a(flip))]. 7907 K(K(x,y),z) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7883,a),flip(a)]. 7908 K(x,K(y,z)) = K(x,K(z,y)). [hyper(66,a,7882,a(flip),b,7883,a)]. 7909 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7883(a,1),5146(a,1,1))]. 7910 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5973(a,1),7883(a,1,1)),flip(a)]. 7911 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5981(a,1),7883(a,1,1)),flip(a)]. 7912 x * K(K(y,z),x) = T(x,K(y,z)). [para(7883(a,2),7862(a,1,2))]. 7913 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [hyper(124,a,7884,a,b,6466,a),flip(a)]. 7914 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [hyper(124,a,7884,a,b,6358,a)]. 7915 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [hyper(124,a,7884,a,b,6574,a(flip)),flip(a)]. 7916 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [hyper(124,a,7884,a,b,21,a(flip))]. 7917 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7884(a,2),5190(a,2,1)),flip(a)]. 7918 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7884(a,2),5259(a,1,1))]. 7919 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7884(a,2),5219(a,1,1))]. 7920 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(7884(a,1),5525(a,1,1,1))]. 7921 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5826(a,1),7884(a,1,2)),flip(a)]. 7922 L(K(x,y) * K(x,K(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). [para(7884(a,2),5392(a,1,1,2))]. 7923 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7884(a,2),5909(a,1,1))]. 7924 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7761(a,1),7884(a,1,2))]. 7925 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7884(a,1),7867(a,1,1))]. 7926 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7907(a,1),5545(a,1,1))]. 7927 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7907(a,1),5452(a,1,1))]. 7929 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(285,a,7861,a,b,7908,a)]. 7930 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7908(a,1),5190(a,2,1)),flip(a)]. 7931 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(5981(a,1),7908(a,1,2)),flip(a)]. 7932 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6125(a,1),7908(a,1,2)),flip(a)]. 7933 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7761(a,1),7908(a,1,2))]. 7934 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7774(a,2),7908(a,1,2))]. 7935 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(285,a,7881,a,b,7879,a),flip(a)]. 7936 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(15(a,1),7879(a,1,2,2)),flip(a)]. 7937 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7879(a,1),7686(a,1,1))]. 7939 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(935(a,1),7889(a,1,1,2)),flip(a)]. 7940 T(x,K(y,z)) = T(x,K(z,y)). [hyper(66,a,7862,a(flip),b,7901,a)]. 7941 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5668,a,7940,a)]. 7942 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(285,a,7401,a,b,7940,a)]. 7943 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(285,a,7496,a(flip),b,7940,a),flip(a)]. 7944 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(285,a,7441,a(flip),b,7940,a),flip(a)]. 7945 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7940(a,1),7343(a,1,1))]. 7946 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(7912(a,1),6752(a,1,2))]. 7947 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7912(a,1),7568(a,1,3)),flip(a)]. 7948 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(285,a,7523,a,b,7917,a),flip(a)]. 7950 K(x,K(y,x * y)) = 1. [hyper(285,a,3352,a(flip),b,7929,a),flip(a)]. 7951 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(285,a,4401,a,b,7950,a),flip(a)]. 7952 T(x,K(y,x * y)) = x. [hyper(59,a,7950,a)]. 7953 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7930(a,1),5259(a,1))]. 7954 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(66,a,7881,a,b,7935,a)]. 7955 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(285,a,7884,a,b,7936,a),flip(a)]. 7956 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(124,a,7936,a(flip),b,5125,a(flip)),flip(a)]. 7957 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(7936(a,1),7686(a,1,1))]. 7958 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(66,a,7884,a,b,7955,a)]. 7960 K(x,K(x * y,z)) = K(x,K(y,z)). [para(14(a,1),7958(a,1,2,1)),flip(a)]. 7961 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5319(a,1),7958(a,2,2))]. 7962 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(66,a,7859,a,b,7960,a)]. 7963 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(66,a,7881,a,b,7951,a)]. 7964 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(7963(a,2),5603(a,2,2))]. 7967 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7693(a,1),7868(a,1,1,2)),flip(a)]. 7968 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(285,a,7681,a,b,7872,a),flip(a)]. 7971 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7761(a,1),7906(a,1,2,2))]. 7973 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(66,a,7881,a,b,7924,a)]. 7974 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(66,a,7958,a(flip),b,7924,a),flip(a)]. 7975 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(7933(a,1),7868(a,1,1))]. 7976 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(6394(a,1),7941(a,1,2))]. 7977 (x * K(y,z)) / x = T(K(y,z),x). [hyper(224,a,7945,a(flip),b,3955,a(flip)),flip(a)]. 7978 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7523(a,2),7945(a,1,1))]. 7979 T(K(x,y),z) * z = z * K(x,y). [hyper(136,a,7977,a)]. 7980 T(T(K(x,y),z),z) = K(x,y). [para(7977(a,1),208(a,1,1))]. 7981 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7977(a,1),588(a,1,1,1))]. 7982 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7977(a,1),594(a,1,1,1))]. 7984 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6742,a,7980,a),flip(a)]. 7985 T(K(x,y \ z),z) = K(x,z / y). [hyper(43,a,6406,a,b,7980,a),flip(a)]. 7986 T(K(x,T(y,z)),z) = K(x,y). [hyper(43,a,7681,a(flip),b,7980,a),flip(a)]. 7987 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(7980(a,1),52(a,1)),flip(a)]. 7988 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7980(a,1),257(a,1,2,2,1))]. 7989 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7656,a,7986,a)]. 7990 K(T(x,y),T(z,y)) = K(x,z). [hyper(66,a,7760,a,b,7986,a)]. 7991 K(x,T(T(y,z),z)) = K(x,y). [hyper(66,a,7681,a,b,7986,a)]. 7994 K(x \ y,T(z,y)) = K(y / x,z). [hyper(66,a,6460,a(flip),b,7986,a)]. 7995 K(x,T(y \ z,z)) = K(x,z / y). [hyper(43,a,6406,a,b,7986,a),flip(a)]. 7996 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(43,a,5150,a,b,7986,a)]. 7997 K(x,T(y,z)) * z = z * K(x,y). [hyper(124,a,7986,a(flip),b,27,a(flip)),flip(a)]. 7998 T(K(x,y \ z),y) = K(x,z / y). [para(118(a,1),7986(a,1,1,2))]. 7999 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7986(a,1),227(a,1,2))]. 8000 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7986(a,1),223(a,1,2,1)),flip(a)]. 8001 T(K(x \ y,z),x) = K(y / x,z). [para(7774(a,1),7986(a,1,1))]. 8002 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7986(a,1),7767(a,1,1)),flip(a)]. 8003 K(T(x,y),z \ y) = K(x,y / z). [hyper(7708,a,7990,a)]. 8004 x * K(T(x,y),T(z,y)) = T(x,z). [hyper(124,a,7990,a,b,5125,a(flip))]. 8006 K(x,T(y,z)) \ z = z * K(y,x). [hyper(124,a,7990,a(flip),b,7679,a),flip(a)]. 8007 K(T(T(x,y),z),T(u,y)) = K(T(x,z),u). [para(28(a,1),7990(a,1,1))]. 8008 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(28(a,1),7990(a,1,2))]. 8009 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(30(a,2),7990(a,1,1))]. 8010 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(30(a,2),7990(a,1,2))]. 8011 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(32(a,2),7990(a,1,1))]. 8012 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(32(a,2),7990(a,1,2))]. 8013 K(x \ y,T(z,x)) = K(y / x,z). [para(118(a,1),7990(a,1,1))]. 8014 K(T(x,y),y \ z) = K(x,z / y). [para(118(a,1),7990(a,1,2))]. 8015 K((x * y) / x,z) = K(y,T(z,x)). [para(208(a,1),7990(a,1,1)),flip(a)]. 8016 K(x,(y * z) / y) = K(T(x,y),z). [para(208(a,1),7990(a,1,2)),flip(a)]. 8017 K(x / (x / y),z) = K(y,T(z,x / y)). [para(230(a,1),7990(a,1,1)),flip(a)]. 8018 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(231(a,1),7990(a,1,1))]. 8019 K(R(x \ y,z,u),T(w,x)) = K(R(y / x,z,u),w). [para(233(a,1),7990(a,1,1))]. 8020 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(713(a,2),7990(a,1,2)),flip(a)]. 8021 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(981(a,1),7990(a,1,2))]. 8022 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(1225(a,1),7990(a,1,1)),flip(a)]. 8023 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3991(a,1),7990(a,1,1))]. 8024 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4200(a,1),7990(a,1,2))]. 8025 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(4114(a,1),7990(a,1,2)),flip(a)]. 8026 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4202(a,1),7990(a,1,1)),flip(a)]. 8027 K(x * K(y,x),z) = K(x,T(z,y)). [para(5150(a,1),7990(a,1,1)),flip(a)]. 8028 K(x,y * K(z,y)) = K(T(x,z),y). [para(5150(a,1),7990(a,1,2)),flip(a)]. 8029 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5240(a,1),7990(a,1,1)),flip(a)]. 8030 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5240(a,1),7990(a,1,2)),flip(a)]. 8031 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7990(a,1),5594(a,1,1)),flip(a)]. 8032 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(7990(a,1),5721(a,1,1,1,2))]. 8033 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),6261(a,1,1))]. 8034 R(x,K(y,z),T(y,u)) = x. [para(7990(a,1),6312(a,1,2))]. 8035 K(T(x,y),z) * y = y * K(x,z). [para(7990(a,1),7682(a,1,2)),flip(a)]. 8037 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(8034(a,1),5759(a,1,1)),flip(a)]. 8038 K(x,T(y \ z,y)) = K(x,z / y). [para(118(a,1),7991(a,1,2,1))]. 8040 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(757(a,2),7991(a,1,2))]. 8041 K(x,y \ z) * z = z * K(x,z / y). [para(6406(a,1),7979(a,1,1))]. 8044 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(7985(a,2),6100(a,1,1))]. 8045 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(66,a,7695,a(flip),b,7994,a)]. 8046 K(x / (x / y),z) = K(y,T(z,x)). [hyper(66,a,626,a(flip),b,7994,a),flip(a)]. 8048 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7626(a,1),7994(a,1,2))]. 8049 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7994(a,1),7708(a,1))]. 8051 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5630,a,7997,a)]. 8052 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(123,a,7997,a(flip),b,5153,a)]. 8053 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7997(a,1),589(a,1,2,1)),flip(a)]. 8054 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7997(a,1),5537(a,1,1))]. 8055 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7997(a,1),5463(a,1,1,3)),flip(a)]. 8056 T(x,y * K(x,z)) = T(x,y). [para(7997(a,1),7626(a,1,2))]. 8058 K(x,y * K(x,z)) = x \ T(x,y). [hyper(122,a,8056,a(flip),b,5130,a(flip)),flip(a)]. 8061 T(x,y * T(x,z)) = T(x,y * x). [para(6322(a,1),8056(a,1,2))]. 8062 T(x,y * K(z,x)) = T(x,y). [para(7392(a,1),8056(a,1,2)),flip(a)]. 8063 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(8062(a,1),4932(a,2,1,2))]. 8064 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8062(a,1),5178(a,1,2,1)),flip(a)]. 8065 T(K(x,y \ z),z) = T(K(x,y \ z),y). [hyper(285,a,7985,a,b,7998,a)]. 8067 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(285,a,5830,a,b,8001,a),flip(a)]. 8069 K(x / y,y / z) != u | K(y \ x,z \ y) = u. [para(8001(a,1),6549(a,1))]. 8071 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8001(a,1),7704(a,1,2))]. 8073 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),(x \ z) / u). [hyper(66,a,7799,a(flip),b,8003,a)]. 8074 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(66,a,7795,a(flip),b,8003,a)]. 8075 K(T(x,y),z \ (x \ y)) = K(x,(x \ y) / z). [hyper(66,a,7792,a(flip),b,8003,a)]. 8076 K(x,y / (y / z)) = K(T(x,y),z). [para(90(a,1),8003(a,1,2)),flip(a)]. 8077 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(7215(a,1),8003(a,1,1))]. 8078 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(208(a,1),8004(a,1,2,1))]. 8079 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5252(a,1),8004(a,1,2,2)),flip(a)]. 8080 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(138,a,8006,a)]. 8082 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(66,a,7742,a(flip),b,8013,a),flip(a)]. 8083 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(19(a,2),8013(a,1,1)),flip(a)]. 8084 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(28(a,1),8013(a,1,2))]. 8085 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4200(a,1),8013(a,1,2)),flip(a)]. 8086 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7630(a,1),8013(a,1,2))]. 8087 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8056(a,1),8013(a,1,2))]. 8088 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(66,a,7792,a(flip),b,8014,a)]. 8089 K(L(T(x,y),z,u),y \ w) = K(L(x,z,u),w / y). [para(30(a,2),8014(a,1,1))]. 8090 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [para(32(a,2),8014(a,1,1))]. 8092 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4118(a,1),8014(a,1,1))]. 8093 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8062(a,1),8014(a,1,1))]. 8094 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(66,a,5805,a,b,8015,a)]. 8095 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(66,a,5803,a,b,8015,a)]. 8096 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [hyper(66,a,6628,a(flip),b,8015,a)]. 8097 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(745(a,1),8015(a,1,1))]. 8098 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3965(a,1),8015(a,1,1))]. 8099 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3994(a,1),8015(a,1,1))]. 8100 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(5388(a,2),8015(a,1,1))]. 8101 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8015(a,1),5953(a,1,1))]. 8102 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(66,a,5424,a,b,8016,a)]. 8103 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(783(a,2),8016(a,1,2))]. 8104 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(8016(a,1),5226(a,1,2))]. 8105 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6516,a,b,8027,a)]. 8106 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(66,a,5606,a,b,8027,a)]. 8107 T(K(x * K(y,x),z \ 1),u) = K(x,T(T(z,u) \ 1,y)). [hyper(66,a,6007,a(flip),b,8027,a)]. 8108 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8027(a,1),5721(a,1,1,1,2)),flip(a)]. 8109 K(T(x,y),T(z,y * L(x,u,w))) = K(R(x,y,L(x,u,w)),z). [para(6829(a,1),8027(a,1,1)),flip(a)]. 8110 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7098(a,1),8027(a,1,1)),flip(a)]. 8111 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7761(a,1),8027(a,1,1,2))]. 8112 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7773(a,1),8027(a,1,1,2)),flip(a)]. 8114 L(K(x \ 1,y * K(z,y)),u,w) = K(T(L(x,u,w) \ 1,z),y). [hyper(66,a,5977,a,b,8028,a)]. 8115 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5085(a,2),8028(a,1,2,2))]. 8116 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5785(a,2),8028(a,1,2,2))]. 8117 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8028(a,1),5793(a,1,2,2)),flip(a)]. 8118 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5838(a,2),8028(a,1,2,2))]. 8119 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8028(a,1),5746(a,1,2,1))]. 8120 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7797(a,1),8035(a,1,1))]. 8122 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(28(a,1),8046(a,2,2))]. 8123 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8046(a,1),7031(a,1,1)),flip(a)]. 8124 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7649(a,1),8046(a,1,1))]. 8125 K(x,y * K(x,z)) = K(x,y). [hyper(285,a,5125,a,b,8058,a),flip(a)]. 8126 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8058(a,2),5208(a,1))]. 8128 K(x,y * T(x,z)) = K(x,y * x). [para(6322(a,1),8125(a,1,2))]. 8130 K(x \ y,z * (y / x)) = K(x \ y,z * (x \ y)). [para(6585(a,1),8125(a,1,2)),flip(a)]. 8131 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6587(a,1),8125(a,1,2)),flip(a)]. 8133 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8125(a,1),6328(a,1,1)),flip(a)]. 8134 K(x,y * K(z,x)) = K(x,y). [para(7392(a,1),8125(a,1,2)),flip(a)]. 8135 K(x,y / K(z,x)) = K(x,y). [para(7396(a,2),8125(a,1,2))]. 8136 K(x,y * T(z,x)) = K(x,y * z). [para(7402(a,1),8125(a,1,2)),flip(a)]. 8137 K(x,K(y,x) \ z) = K(x,z). [para(7680(a,1),8125(a,1,2))]. 8138 K(x,K(x,y) * z) = K(x,z). [para(7682(a,1),8125(a,1,2))]. 8139 K(x,T(y,x) \ z) = K(x,y \ z). [para(7736(a,1),8125(a,1,2))]. 8140 K(x * K(y,z),z) = 1 / K(z,x). [para(8134(a,1),5344(a,1,2)),flip(a)]. 8141 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(8134(a,1),5387(a,1,1,2))]. 8142 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(8134(a,1),6105(a,1,1))]. 8143 K(x,y \ T(z,x)) = K(x,y \ z). [para(5818(a,1),8134(a,1,2))]. 8146 K(x,K(x,y) \ z) = K(x,z). [para(7765(a,1),8134(a,1,2))]. 8147 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(66,a,5707,a(flip),b,8135,a),flip(a)]. 8148 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(5981(a,1),8135(a,1,2,2))]. 8149 K(x,T(x,y) * z) = K(x,x * z). [para(5534(a,1),8137(a,1,2))]. 8150 K(x,T(x,y) \ z) = K(x,x \ z). [para(5585(a,1),8137(a,1,2)),flip(a)]. 8151 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8137(a,1),7872(a,1,2,2)),flip(a)]. 8152 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(8138(a,1),3185(a,1,2))]. 8153 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(5517(a,2),8138(a,1,2))]. 8154 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5854(a,1),8138(a,1,2)),flip(a)]. 8155 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6094(a,1),8138(a,1,2,1))]. 8156 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(8138(a,1),7860(a,1,1)),flip(a)]. 8157 K(x,K(x,y) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,8146,a),flip(a)]. 8159 T(x,y * T(x,z)) = T(x,x * y). [hyper(285,a,4182,a(flip),b,8061,a),flip(a)]. 8160 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(8061(a,1),7639(a,1,2,2))]. 8161 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(8061(a,1),7994(a,1,2))]. 8162 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(118(a,1),8128(a,1,2,2)),flip(a)]. 8163 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(8128(a,1),7889(a,1,1,2)),flip(a)]. 8164 K(x,(x \ T(y * x,x \ 1)) \ z) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(2172(a,1),8139(a,1,2,1))]. 8165 K(x * K(y,z),z) = K(x,z). [hyper(285,a,5344,a(flip),b,8140,a),flip(a)]. 8167 K(x * T(y,z),z) = K(x * y,z). [para(1270(a,1),8165(a,1,1))]. 8170 K(x \ T(y,z),z) = K(x \ y,z). [para(5818(a,1),8165(a,1,1))]. 8172 K(x / (y / z),z) = K(x / (z \ y),z). [para(6533(a,1),8165(a,1,1))]. 8173 K(x * K(y,z),y) = K(x,y). [para(7392(a,1),8165(a,1,1)),flip(a)]. 8174 K(x * T(y,z),y) = K(x * y,y). [para(7402(a,1),8165(a,1,1)),flip(a)]. 8175 K(x * K(y,T(z,u)),z) = K(x,z). [para(7687(a,1),8165(a,1,1,2))]. 8176 K(K(x,y) * z,x) = K(z,x). [para(7723(a,1),8165(a,1,1)),flip(a)]. 8177 K(K(x,y) * z,y) = K(z,y). [para(7756(a,1),8165(a,1,1))]. 8178 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7764(a,1),8165(a,1,1,2))]. 8179 K(K(x,y) \ z,x) = K(z,x). [para(7765(a,1),8165(a,1,1))]. 8180 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5949(a,1),8173(a,1,1,2))]. 8183 K((x / y) * z,y) = K((y \ x) * z,y). [para(6565(a,1),8173(a,1,1))]. 8185 K(T(x,y) * z,x) = K(x * z,x). [para(5219(a,1),8176(a,1,1))]. 8186 K(((x * y) / x) \ z,y) = K(y \ z,y). [para(5517(a,2),8176(a,1,1))]. 8187 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(5854(a,1),8176(a,1,1)),flip(a)]. 8188 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6094(a,1),8176(a,1,1,1))]. 8189 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6254(a,1),8176(a,1,1)),flip(a)]. 8190 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8176(a,1),6374(a,1,1))]. 8192 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7776(a,1),8177(a,1,1,1))]. 8194 K(x,y / T(x,z)) = K(x,x \ y). [hyper(66,a,7717,a,b,8150,a)]. 8195 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(118(a,1),8150(a,1,2,1)),flip(a)]. 8196 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(8150(a,2),7936(a,1,2))]. 8198 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6764(a,1),8167(a,1,1)),flip(a)]. 8199 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(27(a,1),8170(a,1,1,2))]. 8200 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(118(a,1),8170(a,1,1,2)),flip(a)]. 8202 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6320(a,1),8175(a,1,1))]. 8203 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [hyper(124,a,8185,a(flip),b,5125,a(flip))]. 8206 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(8194(a,1),5550(a,2,1))]. 8209 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(7888(a,1),8126(a,1,2))]. 8210 K(x,y * (z * K(u,x))) = K(x,y * z). [para(178(a,1),8148(a,1,2)),flip(a)]. 8211 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(112(a,1),8155(a,1,2))]. 8212 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7014(a,1),8155(a,1,2,1))]. 8215 K(x * (y * K(z,u)),u) = K(x * y,u). [para(7558(a,1),8180(a,1,1)),flip(a)]. 8216 K((K(x,y) * z) * u,x) = K(z * u,x). [para(112(a,1),8188(a,1,1))]. 8217 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7990(a,1),8188(a,1,1,1,1))]. 8221 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(7681(a,1),8209(a,1))]. 8222 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5146(a,1),8212(a,1,2))]. 8223 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5516(a,1),8212(a,1,2)),flip(a)]. 8224 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5854(a,1),8212(a,1,2)),flip(a)]. 8225 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7940(a,1),8221(a,1))]. 8226 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(285,a,5130,a,b,7956,a),flip(a)]. 8227 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7956(a,2),5180(a,1))]. 8228 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(66,a,6590,a(flip),b,8226,a)]. 8229 T(x,K(y,y * z)) = T(x,K(y,z)). [para(14(a,1),8226(a,1,2,2)),flip(a)]. 8230 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8225,a,8229,a),flip(a)]. 8231 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(285,a,2227,a(flip),b,8229,a),flip(a)]. 8232 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(66,a,7943,a(flip),b,8229,a),flip(a)]. 8233 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(57,a,8231,a)]. 8234 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7968(a,1),46(a,1))]. 8235 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(285,a,7958,a(flip),b,7973,a),flip(a)]. 8236 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(66,a,6080,a,b,7984,a)]. 8237 K((x \ y) \ K(x \ y,z),u) = T(K(y \ x,u),z). [para(6468(a,1),7984(a,1,1)),flip(a)]. 8238 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7996(a,1),5392(a,1,1)),flip(a)]. 8239 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7962(a,1),7996(a,1,2))]. 8240 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(285,a,5743,a,b,8002,a),flip(a)]. 8241 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8002(a,2),5744(a,1))]. 8243 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(66,a,8046,a(flip),b,8017,a),flip(a)]. 8244 K(x,T(y,z * x)) = K(x,T(y,z)). [para(16(a,1),8243(a,1,2,2)),flip(a)]. 8245 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(177(a,1),8243(a,1,2,2)),flip(a)]. 8246 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4301(a,1),8243(a,1,2))]. 8247 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4303(a,1),8243(a,1,2))]. 8248 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(8243(a,1),7924(a,2,2))]. 8249 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(8244(a,1),7682(a,1,2))]. 8250 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8244(a,1),7997(a,1,1))]. 8251 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(285,a,8076,a(flip),b,8024,a),flip(a)]. 8254 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(27(a,2),8067(a,1,1,1)),flip(a)]. 8256 (((x * y) / x) \ z) * K(y,y \ z) = (y * (((x * y) / x) \ z)) / y. [hyper(124,a,8153,a(flip),b,5167,a(flip))]. 8258 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(285,a,7860,a(flip),b,8156,a),flip(a)]. 8259 K(x \ (y * L(x,z,u)),x) = K((x \ y) * L(x,z,u),x). [hyper(66,a,5330,a,b,8183,a)]. 8260 (((x * y) / x) \ z) \ K(y \ z,y) = ((y * (((x * y) / x) \ z)) / y) \ 1. [hyper(122,a,8186,a(flip),b,5412,a(flip))]. 8262 K(x * ((y * z) / y),z) = K(x * z,z). [para(5192(a,2),8189(a,1,1,2))]. 8263 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5360(a,1),8189(a,1,1,2)),flip(a)]. 8264 K((x / (x / y)) * z,y) = K(y * z,y). [para(5098(a,2),8189(a,1,1))]. 8265 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5709(a,1),8189(a,1,1,2))]. 8266 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5824(a,1),8189(a,1,1,2))]. 8267 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(66,a,7218,a(flip),b,8192,a)]. 8268 (K(x,y) * z) * K(z,T(y,u)) = T(K(x,y) * z,T(y,u)). [hyper(124,a,8192,a(flip),b,5125,a(flip))]. 8269 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5158(a,1),8192(a,1,1)),flip(a)]. 8270 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5516(a,1),8192(a,1,1)),flip(a)]. 8271 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8200(a,1),5803(a,1,1,1,2))]. 8272 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8202(a,1),5720(a,1,1,2))]. 8273 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(1283(a,1),8210(a,1,2,2))]. 8274 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5981(a,1),8210(a,1,2,2,2))]. 8275 K(x,y * (z * K(x,u))) = K(x,y * z). [para(7392(a,1),8210(a,1,2,2)),flip(a)]. 8276 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7723(a,1),8210(a,1,2,2)),flip(a)]. 8277 K(x,(y * x) * z) = K(x,(x * y) * z). [para(5146(a,1),8211(a,1,2,1)),flip(a)]. 8279 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6319(a,1),8215(a,1,1,2)),flip(a)]. 8280 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6626(a,2),8233(a,1,1))]. 8281 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5413(a,2),8236(a,2,1)),flip(a)]. 8282 K(T(x,y) \ 1,z) * K(x \ K(x,y),K(x,y) \ x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8236(a,2),5541(a,1,1))]. 8283 T(x,T(T(y,z),z)) = T(x,y). [hyper(37,a,7825,a,b,8240,a(flip))]. 8284 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(8240(a,1),221(a,1,2))]. 8285 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8240(a,2),217(a,1,1,1))]. 8286 T(x,K(y,x) * T(y,z)) = T(x,T(y,T(z,x))). [para(8240(a,1),4122(a,1,2))]. 8287 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(8240(a,2),5744(a,1))]. 8288 T(x,(y * z) / y) = T(x,T(z,y)). [para(208(a,1),8283(a,1,2,1)),flip(a)]. 8289 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5150(a,1),8283(a,1,2,1)),flip(a)]. 8290 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(66,a,7110,a(flip),b,8289,a),flip(a)]. 8292 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(66,a,7881,a,b,8258,a)]. 8293 K(x * ((y * z) / y),z) = K(z * x,z). [hyper(285,a,5785,a(flip),b,8262,a),flip(a)]. 8296 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8263(a,1),5805(a,1,2,1,2)),flip(a)]. 8299 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5949(a,1),8275(a,1,2,2,2))]. 8300 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6254(a,1),8276(a,1,2,2)),flip(a)]. 8301 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8280(a,1),7945(a,1,1))]. 8302 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(285,a,7908,a,b,8292,a),flip(a)]. 8303 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(285,a,7881,a,b,8292,a),flip(a)]. 8304 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5360(a,1),8302(a,1,1)),flip(a)]. 8305 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5360(a,1),8303(a,1,1)),flip(a)]. 8306 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8303(a,1),6353(a,1,3))]. 8307 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7997(a,1),8303(a,1,1))]. 8308 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6900,a,8306,a)]. 8309 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8306(a,1),478(a,1,1)),flip(a)]. 8310 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(285,a,7884,a,b,8304,a),flip(a)]. 8311 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7687(a,1),8304(a,1,2,2,1))]. 8312 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(285,a,8292,a(flip),b,8305,a),flip(a)]. 8313 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5737(a,1),8310(a,1,2,2))]. 8314 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3477,a,7863,a),flip(a)]. 8315 T(x,K(y,z)) * u != x * w | K(y,K(x,z)) * u = w. [para(7892(a,1),46(a,1))]. 8316 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7396(a,2),7909(a,1,2))]. 8317 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7961(a,1),7909(a,1,1))]. 8318 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(6427(a,1),7916(a,1,2))]. 8319 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5319(a,1),7919(a,1,1,2))]. 8322 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7944(a,1),7761(a,1,1)),flip(a)]. 8324 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(285,a,7973,a,b,7974,a),flip(a)]. 8325 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(66,a,6651,a(flip),b,8009,a)]. 8326 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1521(a,1),8009(a,1,1))]. 8327 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6652,a,8010,a)]. 8328 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(115(a,1),8010(a,1,2,1))]. 8329 K(T(x,y),T(z,R(z,u,w) * y)) = K(x,L(z,y,R(z,u,w))). [para(1509(a,1),8010(a,1,2))]. 8330 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1521(a,1),8010(a,1,2))]. 8331 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(32(a,2),8328(a,1,1))]. 8332 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4200(a,1),8011(a,1,1,1)),flip(a)]. 8333 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4275(a,1),8011(a,1,1))]. 8334 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5149(a,1),8023(a,1,2,2))]. 8335 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(66,a,8016,a(flip),b,8025,a)]. 8336 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(32(a,2),8335(a,1,1))]. 8337 K(T(x,y),T(z,y * z)) = K(x,L(z,y,z)). [para(5400(a,1),8030(a,1,2)),flip(a)]. 8338 K((x * y) \ z,L(y,x,y)) = K(T(z / (x * y),x),y). [hyper(66,a,8018,a(flip),b,8337,a),flip(a)]. 8339 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8031(a,1),425(a,1,1,2)),flip(a)]. 8340 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8031(a,1),7990(a,1,1))]. 8341 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8028(a,1),8031(a,1,1,2))]. 8342 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5150(a,1),8040(a,1,2,1,1)),flip(a)]. 8343 (K(x \ 1,y) \ z) * K(z / K(x \ 1,y),x) = T(K(x \ 1,y) \ z,x). [para(1407(a,1),8071(a,2,2))]. 8344 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(66,a,7770,a(flip),b,8084,a),flip(a)]. 8345 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6912(a,1),8097(a,1,1))]. 8346 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [hyper(124,a,8099,a(flip),b,5072,a),flip(a)]. 8347 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(66,a,8028,a(flip),b,8116,a)]. 8348 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(32(a,2),8347(a,1,1))]. 8349 K(T(x / (x / y),z),u * K(R(u,w,v5) * x,u)) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(7099(a,1),8124(a,2,2))]. 8350 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1270(a,1),8178(a,1,1))]. 8351 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(5082(a,1),8178(a,1,1)),flip(a)]. 8353 K((x \ 1) * y,T(z,y)) = K((x \ 1) * y,T(z,x)). [para(3029(a,1),8247(a,1,2)),flip(a)]. 8354 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(285,a,7881,a,b,8248,a),flip(a)]. 8355 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8249(a,2),6136(a,1,2,1))]. 8356 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7681(a,1),8249(a,1,2))]. 8357 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(285,a,6322,a(flip),b,8250,a),flip(a)]. 8358 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5775,a,8357,a)]. 8359 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(123,a,8357,a(flip),b,5518,a(flip))]. 8360 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7681(a,1),8357(a,1,1))]. 8361 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7696(a,1),8357(a,1,1))]. 8362 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(123,a,280,a(flip),b,8358,a)]. 8363 T(x,T(y,x \ y)) = T(x,y). [hyper(38,a,3997,a,b,8358,a),flip(a)]. 8364 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8358(a,1),294(a,1,1)),flip(b)]. 8366 T(x,T(x * y,y)) = T(x,x * y). [para(14(a,1),8363(a,1,2,2))]. 8367 T(x / y,T(x,y)) = T(x / y,x). [para(90(a,1),8363(a,1,2,2))]. 8368 T(x \ y,T(y,x)) = T(x \ y,y). [para(3976(a,1),8363(a,1,2))]. 8369 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [para(5149(a,1),8367(a,1,1))]. 8370 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(8368(a,1),5179(a,1,2,1))]. 8371 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8368(a,1),5816(a,1,2,1,2)),flip(a)]. 8372 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(118(a,1),8359(a,1,2))]. 8373 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1705(a,1),8359(a,1,1,2))]. 8374 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7630(a,1),8359(a,1,1,2)),flip(a)]. 8375 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8056(a,1),8359(a,1,1,2)),flip(a)]. 8376 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(66,a,4512,a(flip),b,8360,a),flip(a)]. 8377 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(66,a,7596,a(flip),b,8254,a),flip(a)]. 8378 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(7279(a,1),8266(a,1,1,2))]. 8379 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8269(a,1),5722(a,1,2,1,2)),flip(a)]. 8381 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(7290(a,1),8273(a,1,2,2))]. 8382 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4085(a,1),8279(a,1,1,2)),flip(a)]. 8383 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(791(a,1),8281(a,1,1,1))]. 8384 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(8002(a,2),8284(a,1,2))]. 8385 T(x,T(y,T(z,x))) = T(x,T(y,z)). [hyper(66,a,7628,a(flip),b,8286,a),flip(a)]. 8387 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(118(a,1),8385(a,1,2,2)),flip(a)]. 8388 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8308(a,2),5459(a,1,1))]. 8389 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8311(a,1),7917(a,1,1))]. 8390 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8311(a,1),7918(a,1,1))]. 8391 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(285,a,8013,a(flip),b,8344,a),flip(a)]. 8392 T(K(x,y),z * x) = T(K(x,y),z). [hyper(225,a,8356,a)]. 8393 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(285,a,3213,a(flip),b,8392,a),flip(a)]. 8394 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(224,a,8376,a,b,5518,a(flip))]. 8396 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8230(a,1),8376(a,1,1)),flip(a)]. 8397 T(K(x,y),T(z,x)) = T(K(x,y),z). [para(2227(a,1),8394(a,1,1))]. 8398 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7342(a,1),8394(a,1,1)),flip(a)]. 8399 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7344(a,1),8394(a,1,1))]. 8400 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5726,a,8398,a)]. 8404 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7940(a,1),8398(a,1,1))]. 8405 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(118(a,1),8399(a,1,2)),flip(a)]. 8406 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(7953,a,8400,a)]. 8407 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8400(a,1),7693(a,1,2))]. 8409 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(66,a,5240,a(flip),b,8404,a),flip(a)]. 8410 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [hyper(66,a,231,a(flip),b,8404,a),flip(a)]. 8411 x \ T(T(x,y),K(y,z)) = T(K(x,y),z). [hyper(122,a,8406,a,b,7704,a)]. 8412 K(x,T(T(y,z) \ 1,K(z,u))) = K(x,T(y,T(z,u)) \ 1). [para(8406(a,1),7692(a,2,2,1))]. 8413 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(118(a,1),8407(a,1,2,2)),flip(a)]. 8414 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(714(a,1),8407(a,1,2,2))]. 8415 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5391(a,1),8407(a,1,2,2))]. 8416 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(8405(a,1),7979(a,1,1))]. 8418 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(1 / x,y),z)) * x. [para(8411(a,1),919(a,1,1,2)),flip(a)]. 8419 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(66,a,8243,a(flip),b,8413,a),flip(a)]. 8420 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(66,a,8244,a,b,8419,a)]. 8421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(14(a,1),8419(a,1,2,2)),flip(a)]. 8422 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(8419(a,1),7864(a,1,1,2))]. 8423 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(118(a,1),8421(a,1,2)),flip(a)]. 8424 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4922(a,1),8420(a,1,2,2))]. 8425 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(5150(a,1),8384(a,1,2,1)),flip(a)]. 8426 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5346(a,1),7783(a,1))]. 8428 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7760(a,1),8426(a,1))]. 8429 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7762(a,2),8426(a,1))]. 8430 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8016(a,2),8426(a,1))]. 8434 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6439(a,2),8428(a,1))]. 8435 K(x \ y,z) != u | K(y / x,T(z,y)) = u. [para(6460(a,1),8428(a,1))]. 8438 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7924(a,2),7873(a,1,2))]. 8446 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(7927,a,6153,a)]. 8448 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,8112,a),flip(a)]. 8449 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(118(a,1),8448(a,1,2,2)),flip(a)]. 8450 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(66,a,6653,a(flip),b,8190,a)]. 8451 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8190(a,1),3653(a,1)),flip(b)]. 8452 K(x * y,x) != z | K(y * x,x) = z. [para(5146(a,1),8451(a,1,1))]. 8455 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(6572(a,2),8452(a,1))]. 8456 K(L(x,K(y,z),u),y) = K(x,y). [hyper(285,a,8176,a(flip),b,8450,a),flip(a)]. 8458 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8456(a,1,1))]. 8459 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7014(a,1),8217(a,1,1,1))]. 8460 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(103(a,1),8274(a,1,2,2))]. 8461 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(32(a,2),7690(a,2,2))]. 8462 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2963(a,1),7725(a,1,2,2))]. 8463 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(66,a,7459,a,b,7728,a)]. 8464 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6760,a,7734,a),flip(a)]. 8465 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(445,a,7734,a)]. 8466 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(66,a,6661,a(flip),b,8465,a)]. 8467 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(66,a,7186,a,b,7755,a)]. 8468 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(7821(a,1),6628(a,2,2,1))]. 8469 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(285,a,5177,a(flip),b,7824,a),flip(a)]. 8470 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(8469(a,1),6808(a,1,1))]. 8471 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4833(a,1),7837(a,1,1))]. 8472 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5304,a,7839,a),flip(a)]. 8473 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(66,a,6597,a,b,8472,a)]. 8474 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(66,a,7758,a,b,8473,a)]. 8476 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(7958(a,1),7869(a,1,1))]. 8477 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7392(a,1),7871(a,1,1)),flip(a)]. 8478 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7875(a,2),5296(a,1,1))]. 8479 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6032(a,1),7876(a,1,1)),flip(a)]. 8481 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7924(a,2),7937(a,1,1))]. 8482 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(194,a,7939,a(flip)),flip(a)]. 8483 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(7154(a,1),8482(a,1,2))]. 8484 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(8483(a,1),7343(a,1,1)),flip(a)]. 8485 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(285,a,8308,a(flip),b,7947,a),flip(a)]. 8487 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(7860(a,2),7964(a,2,2))]. 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(285,a,7868,a(flip),b,7967,a),flip(a)]. 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(7341(a,1),8488(a,1,2))]. 8491 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4182(a,1),7971(a,1,2,2,2))]. 8493 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [hyper(285,a,7681,a,b,7975,a),flip(a)]. 8494 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,x \ y)). [para(5073(a,2),7976(a,1,2,2))]. 8495 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(123,a,7558,a(flip),b,7981,a),flip(a)]. 8496 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2963(a,1),7981(a,1,1))]. 8497 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(32(a,1),7982(a,1,1))]. 8498 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5727,a,7988,a)]. 8499 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(66,a,5240,a(flip),b,8498,a),flip(a)]. 8500 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [hyper(262,a,8000,a)]. 8501 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8056(a,1),8000(a,1,1,1,2))]. 8502 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(66,a,8098,a(flip),b,8022,a),flip(a)]. 8503 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8502(a,1),7682(a,1,2))]. 8504 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(66,a,8124,a(flip),b,8026,a),flip(a)]. 8505 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(14(a,1),8504(a,1,2,2)),flip(a)]. 8506 (x * K(y,z)) * u != x * (K(y,w) * T(y,z)) | T(y,w) = u. [para(8037(a,1),46(a,1)),flip(a)]. 8507 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,8063,a),flip(a)]. 8508 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6546,a,8078,a)]. 8509 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5452,a,8508,a)]. 8510 K(x,y) * T((y * x) / y,z) != u | T(x,T(z,y)) = u. [para(8508(a,1),5453(a,1,2)),flip(b)]. 8511 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(15(a,1),8509(a,1,2,1,1))]. 8512 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(638(a,1),8509(a,1,2))]. 8513 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5149(a,1),8509(a,1,2,1))]. 8514 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6594(a,1),8513(a,1,2)),flip(a)]. 8515 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(66,a,4981,a,b,8079,a)]. 8516 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(66,a,5830,a,b,8082,a)]. 8517 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(404(a,1),8085(a,1,1,2))]. 8518 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(115(a,1),8089(a,1,1,1)),flip(a)]. 8519 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4553(a,1),8090(a,1,2)),flip(a)]. 8520 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(124,a,8103,a(flip),b,5125,a(flip)),flip(a)]. 8522 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5149(a,2),8105(a,1,2,1))]. 8523 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6774,a,b,8106,a)]. 8524 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8117(a,1),5123(a,2,2))]. 8525 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(285,a,7872,a(flip),b,8151,a),flip(a)]. 8526 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(7929(a,1),8163(a,2,1))]. 8527 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(285,a,7917,a(flip),b,8526,a),flip(a)]. 8528 T(x,K(y,z * x)) = T(x,K(y,z)). [para(115(a,1),8527(a,1,2,2,2))]. 8529 T(x,K(y,x * z)) = T(x,K(y,z)). [para(116(a,1),8527(a,1,2,2))]. 8530 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(207(a,1),8527(a,1,2,2)),flip(a)]. 8531 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8528,a),flip(a)]. 8532 T(x,K(y,z / x)) = T(x,K(y,z)). [para(17(a,1),8528(a,1,2,2)),flip(a)]. 8533 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8528(a,1),7945(a,1,1))]. 8534 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8529,a),flip(a)]. 8536 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8530,a),flip(a)]. 8537 T(x,K(y,x \ z)) != u | T(x,K(z,y)) = u. [para(8530(a,2),7953(a,1))]. 8538 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7953,a,8531,a)]. 8539 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8531(a,1),7701(a,1,2))]. 8540 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8534(a,1),28(a,1,1)),flip(a)]. 8541 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(8536(a,2),7953(a,1))]. 8542 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(32(a,2),8539(a,1,2))]. 8543 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [hyper(124,a,8195,a(flip),b,5434,a)]. 8544 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(32(a,2),8223(a,1,2,1))]. 8545 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(998(a,1),8223(a,1,2)),flip(a)]. 8546 K((x \ y) \ K(x \ y,z),u) = K(y \ x,T(u,z)). [hyper(285,a,7681,a,b,8237,a),flip(a)]. 8547 K((x \ y) \ K(x \ y,z),u) != w | K(y \ x,T(u,z)) = w. [para(8237(a,2),8428(a,1))]. 8549 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(66,a,5676,a(flip),b,8301,a),flip(a)]. 8550 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(32(a,2),8336(a,2,1))]. 8551 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(66,a,7112,a,b,8342,a)]. 8552 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6593(a,1),8350(a,1,1)),flip(a)]. 8554 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3492,a,b,8361,a),flip(a)]. 8555 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8362(a,1),6359(a,1,1,1))]. 8556 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6321(a,1),8372(a,1,1))]. 8557 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8054,a,8556,a),flip(a)]. 8558 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(66,a,8387,a(flip),b,8557,a)]. 8559 T(x,T(y,z * x)) = T(x,T(y,z)). [para(16(a,1),8557(a,1,2,2)),flip(a)]. 8560 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(87(a,1),8557(a,1,2,2)),flip(a)]. 8561 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(118(a,1),8558(a,1,2)),flip(a)]. 8562 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6594(a,1),8558(a,1,2))]. 8563 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(8558(a,1),8407(a,1,2))]. 8564 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(118(a,1),8559(a,1,2)),flip(a)]. 8565 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(801(a,1),8559(a,1,2)),flip(a)]. 8566 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8560(a,1),8407(a,1,2))]. 8567 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(5150(a,1),8563(a,1,2,2)),flip(a)]. 8568 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(118(a,1),8566(a,1,2,2)),flip(a)]. 8569 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(285,a,8359,a(flip),b,8375,a),flip(a)]. 8570 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6587(a,1),8569(a,1,2,1)),flip(a)]. 8571 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7703(a,1),8416(a,1,1))]. 8572 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(285,a,7403,a(flip),b,8571,a),flip(a)]. 8573 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7681(a,2),8572(a,1,1))]. 8574 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(38,a,5242,a,b,8425,a)]. 8575 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(285,a,8179,a(flip),b,8458,a),flip(a)]. 8577 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7392(a,1),8575(a,1,1,1)),flip(a)]. 8578 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7702(a,1),8575(a,1,1,1)),flip(a)]. 8579 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),8575(a,1,1,1,2))]. 8580 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1403(a,1),8577(a,1,1,1,2))]. 8581 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(5981(a,1),8577(a,1,1,1,2))]. 8582 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8577(a,1),7399(a,1,1,2)),flip(a)]. 8583 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(66,a,6490,a(flip),b,8578,a)]. 8584 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(105(a,2),8578(a,1,1))]. 8585 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5949(a,1),8583(a,1,1,2))]. 8586 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8585(a,1),5804(a,1,1,1,2)),flip(a)]. 8587 K(x \ K(L(y,z,u),w),y) = K(x \ 1,y). [para(6653(a,1),8585(a,1,1,2))]. 8588 K(x \ K(L(y,z,u),w),T(y,v5)) = K(x \ 1,T(y,v5)). [para(8009(a,1),8587(a,1,1,2))]. 8589 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7704(a,1),8580(a,1,1,1))]. 8590 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(7558(a,1),8581(a,1,1,1)),flip(a)]. 8591 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7681(a,2),8461(a,1,1))]. 8592 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(21(a,1),8487(a,2,2,1))]. 8593 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(285,a,8525,a(flip),b,8489,a),flip(a)]. 8595 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7396(a,1),8593(a,1,2))]. 8596 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8595(a,1),8485(a,1,2))]. 8597 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(8410(a,1),8493(a,2,2))]. 8598 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(224,a,8497,a(flip),b,3968,a(flip))]. 8600 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(5818(a,1),8507(a,1,2))]. 8601 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(8511(a,1),8211(a,1,2,1))]. 8602 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5207,a,8515,a)]. 8603 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5839(a,1),8602(a,1,2,1)),flip(a)]. 8604 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(285,a,7399,a(flip),b,8582,a),flip(a)]. 8605 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8582(a,2),7411(a,1))]. 8607 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7723(a,1),8604(a,1,2,1)),flip(a)]. 8608 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7756(a,1),8604(a,1,2,1))]. 8609 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7776(a,1),8604(a,1,2,1,2))]. 8610 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [hyper(124,a,8607,a(flip),b,5125,a(flip)),flip(a)]. 8611 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(19(a,2),8607(a,1,2)),flip(a)]. 8612 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6254(a,1),8607(a,1,2,1)),flip(a)]. 8613 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(285,a,5130,a,b,8610,a),flip(a)]. 8615 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,8613,a),flip(a)]. 8616 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(5360(a,1),8613(a,1,2,1)),flip(a)]. 8617 K(x \ 1,T(y,z \ K(x,u))) = K(T(x,z \ 1) \ 1,y). [para(8615(a,1),7691(a,1,1,1)),flip(a)]. 8619 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6585(a,1),8605(a,1,2,1))]. 8620 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(96(a,1),8590(a,1,1,1,2)),flip(a)]. 8621 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(8590(a,1),5302(a,2,2,2))]. 8622 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(15(a,1),8591(a,1,2)),flip(a)]. 8623 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(702(a,1),8591(a,2,2))]. 8624 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5150(a,1),8591(a,1,1,2))]. 8626 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(285,a,6735,a(flip),b,8620,a),flip(a)]. 8627 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(285,a,352,a(flip),b,8622,a),flip(a)]. 8628 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(285,a,7681,a(flip),b,8627,a),flip(a)]. 8630 K(L(x,y,y \ 1) \ z,x) = K(x \ z,x). [hyper(285,a,5448,a(flip),b,7846,a),flip(a)]. 8631 K(x / L(y,z,z \ 1),y) = K(y \ x,y). [hyper(66,a,7804,a,b,8630,a)]. 8632 K(x \ (y * L(x,z,z \ 1)),x) = K(y,x). [para(16(a,1),8631(a,1,1)),flip(a)]. 8633 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7856(a,1),7053(a,1,1,2))]. 8635 K(L(x,y,z),K(u,x \ u)) = 1. [hyper(285,a,79,a(flip),b,7903,a),flip(a)]. 8637 K(x,K(L(y,z,u),y \ x)) = 1. [hyper(66,a,7881,a,b,8635,a)]. 8638 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3371(a,1),8044(a,1,1))]. 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(5149(a,1),8510(a,1,2,1))]. 8642 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7727(a,1),46(a,1)),flip(a)]. 8643 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(285,a,8544,a(flip),b,7812,a),flip(a)]. 8645 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(8574(a,1),7835(a,1,2))]. 8646 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(118(a,1),7854(a,1,1,1))]. 8647 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(8646(a,1),6855(a,1,1))]. 8648 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4664(a,2),8647(a,1,1,2))]. 8649 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(66,a,4298,a(flip),b,7855,a),flip(a)]. 8650 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(66,a,5868,a(flip),b,7857,a),flip(a)]. 8651 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5973(a,1),7870(a,1,1)),flip(a)]. 8652 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5973(a,1),7910(a,1,2)),flip(a)]. 8653 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(66,a,8651,a,b,8652,a)]. 8654 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7881(a,1),8653(a,1,1))]. 8655 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4066(a,1),8654(a,2,2))]. 8656 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6090(a,1),8654(a,2,2))]. 8657 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5981(a,1),7911(a,1,2)),flip(a)]. 8658 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [hyper(285,a,5130,a,b,7913,a)]. 8659 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(5986(a,1),7931(a,1,2))]. 8660 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(6327(a,2),8074(a,1,2,2))]. 8661 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(66,a,8579,a(flip),b,8087,a)]. 8663 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(66,a,8013,a(flip),b,8661,a),flip(a)]. 8664 K(x / (y * z),z) = K(x / (z * y),z). [para(96(a,1),8663(a,1,1,2)),flip(a)]. 8665 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7682(a,1),8663(a,1,1,2))]. 8666 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7702(a,1),8663(a,1,1,2)),flip(a)]. 8668 K(x / (y * (K(z,u) * w)),u) = K(x / (y * w),u). [para(6254(a,1),8665(a,1,1,2)),flip(a)]. 8669 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(8665(a,1),7032(a,1,1))]. 8670 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(8666(a,1),5302(a,2,2,2))]. 8671 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(5360(a,1),8668(a,1,1,2,2)),flip(a)]. 8672 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(285,a,5302,a,b,8670,a),flip(a)]. 8673 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(25(a,2),8672(a,1,2)),flip(a)]. 8674 T(x,y / ((x \ z) * x)) = T(x,y / z). [para(5101(a,1),8672(a,1,2,2))]. 8675 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5146(a,1),8672(a,1,2,2))]. 8676 T(x,y / ((x \ z) * x)) = x * K(x,y / z). [hyper(285,a,5130,a(flip),b,8674,a),flip(a)]. 8677 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(5207,a,8676,a)]. 8679 K(x,y / (z * x)) = K(x,y / (x * z)). [para(14(a,1),8677(a,1,2,2,1))]. 8680 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(404(a,1),8677(a,1,2,2,1))]. 8681 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(285,a,6932,a(flip),b,8679,a),flip(a)]. 8682 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(113(a,2),8679(a,2,2)),flip(a)]. 8683 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(17(a,1),8681(a,1,2,2,1)),flip(a)]. 8684 K(x,R(1 / y,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(7284(a,2),8681(a,1,2,2,1)),flip(a)]. 8685 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7299(a,1),8681(a,1,2,2,1))]. 8686 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(66,a,7157,a(flip),b,8683,a),flip(a)]. 8687 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(66,a,5341,a(flip),b,8682,a)]. 8688 K(x,R(x \ y,x,T(z,y))) = K(x,(z * y) / (T(z,y) * x)). [para(116(a,1),8687(a,2,2,1))]. 8689 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [hyper(66,a,7024,a(flip),b,8671,a),flip(a)]. 8690 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(16(a,1),8673(a,1,2)),flip(a)]. 8691 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(285,a,8062,a(flip),b,8690,a),flip(a)]. 8694 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(122,a,8691,a(flip),b,5130,a(flip)),flip(a)]. 8695 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(285,a,5125,a,b,8694,a),flip(a)]. 8696 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8695(a,1,2))]. 8697 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8695(a,1),6106(a,1,1))]. 8698 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(66,a,8609,a(flip),b,8093,a)]. 8700 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(66,a,8014,a(flip),b,8698,a),flip(a)]. 8701 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1270(a,1),8700(a,1,2,2))]. 8702 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5197(a,1),8700(a,1,2,2)),flip(a)]. 8703 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7723(a,1),8700(a,1,2,2)),flip(a)]. 8704 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(25(a,2),8703(a,1,2)),flip(a)]. 8705 K(x \ y,z / ((y / x) * u)) = K(x \ y,z / ((x \ y) * u)). [para(5749(a,1),8703(a,1,2,2)),flip(a)]. 8706 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(16(a,1),8704(a,1,2)),flip(a)]. 8707 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(285,a,8125,a(flip),b,8706,a),flip(a)]. 8710 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8707(a,1,2))]. 8711 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5149(a,1),8102(a,1,1,1,2))]. 8712 K(x,T(T(y,z) \ 1,u)) = T(K(x,T(y \ 1,u)),z). [para(8027(a,1),8107(a,1,1)),flip(a)]. 8713 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(66,a,8115,a(flip),b,8118,a),flip(a)]. 8715 K((x \ y) * L(x,z,z \ 1),x) = K(y,x). [hyper(66,a,8632,a(flip),b,8259,a),flip(a)]. 8716 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(285,a,3462,a(flip),b,8267,a),flip(a)]. 8718 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [hyper(124,a,8716,a(flip),b,97,a),flip(a)]. 8719 T(K(x,y) * z,T(y,u)) = K(x,y) * T(z,T(y,u)). [hyper(6375,a,8268,a),flip(a)]. 8721 K(T(K(x,y) * z,T(y,u)) \ 1,w) = K(T(z,T(y,u)) \ K(y,x),w). [para(8719(a,2),6490(a,1,1,1))]. 8722 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(8400(a,1),8319(a,2,1))]. 8723 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(285,a,8459,a(flip),b,8322,a),flip(a)]. 8724 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7990(a,1),8325(a,1,1)),flip(a)]. 8725 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(66,a,6655,a(flip),b,8724,a)]. 8726 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(179(a,1),8724(a,1,1,2)),flip(a)]. 8727 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(249(a,1),8724(a,1,1,2))]. 8730 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6403,a,8726,a),flip(a)]. 8731 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(66,a,6648,a(flip),b,8726,a),flip(a)]. 8732 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(66,a,6636,a(flip),b,8726,a),flip(a)]. 8733 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5124(a,2),8726(a,1,2)),flip(a)]. 8734 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7990(a,1),8327(a,1,1)),flip(a)]. 8735 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(179(a,1),8734(a,1,2,2)),flip(a)]. 8736 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6331(a,1),8734(a,1,2,2)),flip(a)]. 8738 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6389,a,8735,a),flip(a)]. 8739 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(124,a,8735,a(flip),b,273,a)]. 8740 T(x,y * (z * x)) = T(x,y * (x * z)). [para(8739(a,1),8056(a,1,2)),flip(a)]. 8741 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(285,a,6646,a(flip),b,8736,a),flip(a)]. 8742 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(8741(a,2),8479(a,2,1)),flip(a)]. 8743 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8332(a,2),5321(a,1,1))]. 8744 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(285,a,8027,a(flip),b,8340,a),flip(a)]. 8745 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(6665(a,1),8345(a,1,1,1,2))]. 8746 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(32(a,2),8348(a,2,1))]. 8747 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(285,a,4230,a(flip),b,8369,a),flip(a)]. 8748 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(66,a,6778,a(flip),b,8747,a)]. 8749 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8364,a,8373,a),flip(a)]. 8750 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(122,a,8749,a(flip),b,5130,a(flip)),flip(a)]. 8751 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(285,a,5125,a,b,8750,a),flip(a)]. 8752 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(66,a,6628,a,b,8751,a)]. 8753 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [hyper(285,a,8359,a(flip),b,8374,a),flip(a)]. 8755 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5150(a,1),8753(a,1,2,1,1)),flip(a)]. 8757 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7865,a,8422,a),flip(a)]. 8758 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(14(a,1),8757(a,1,2,2)),flip(a)]. 8760 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(753(a,1),8512(a,1,2,1,2))]. 8761 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4197(a,1),8520(a,1,2,1))]. 8762 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4811(a,1),8523(a,1,2)),flip(a)]. 8763 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(285,a,5123,a,b,8524,a),flip(a)]. 8764 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5596(a,1),8763(a,2,1,2,1))]. 8765 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7794(a,1),8763(a,2,1,2))]. 8766 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(753(a,1),8543(a,1,2,2,1)),flip(a)]. 8767 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z \ 1)). [hyper(285,a,7691,a(flip),b,8617,a),flip(a)]. 8768 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5383(a,1),8633(a,1,1,2))]. 8769 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(8768(a,2),5821(a,2,1))]. 8770 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(5590,a,8645,a(flip))]. 8771 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7716(a,1),8645(a,1,2))]. 8772 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3978(a,2),8770(a,2,2))]. 8773 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(8409(a,1),8770(a,1,2))]. 8774 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8656(a,2),7930(a,1,1))]. 8775 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(136,a,8711,a)]. 8776 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(8711(a,1),5374(a,1,1))]. 8777 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(285,a,5307,a(flip),b,8718,a),flip(a)]. 8778 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4959,a,8777,a)]. 8779 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(285,a,7876,a,b,8742,a),flip(a)]. 8780 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8775(a,1),5448(a,1,2))]. 8781 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8775(a,1),5454(a,1,2))]. 8782 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(66,a,6566,a(flip),b,8776,a)]. 8783 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5836(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8784 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(6725(a,1),8780(a,1,2,1,2,2))]. 8785 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(8215(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8786 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(8122(a,1),7743(a,1,1))]. 8787 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(87(a,1),7754(a,1,2,1,1))]. 8788 R(x,y,T(z,K(y,u))) = R(x,y,z). [hyper(7818,a,7898,a),flip(a)]. 8789 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(7990(a,1),8788(a,1,3,2))]. 8790 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(8406(a,1),8789(a,1,3))]. 8792 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(285,a,5178,a(flip),b,8064,a),flip(a)]. 8793 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7756(a,1),8792(a,1,2))]. 8794 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5981(a,1),8793(a,1,2,1))]. 8795 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(4227(a,1),8104(a,1,1))]. 8796 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8795(a,1),8215(a,1,1,2)),flip(a)]. 8797 K(x * L(y,z,y),y) = K(y * x,y). [hyper(285,a,8293,a(flip),b,8796,a),flip(a)]. 8801 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8174(a,1),8133(a,2,2))]. 8802 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(285,a,5788,a(flip),b,8801,a),flip(a)]. 8804 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7682(a,1),8238(a,1,1,2)),flip(a)]. 8805 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(66,a,8008,a(flip),b,8326,a),flip(a)]. 8806 K(T(x,R(y,z,u) * w),L(y,w,R(y,z,u))) = K(T(x,w),y). [hyper(66,a,8007,a(flip),b,8329,a),flip(a)]. 8807 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(7147(a,1),8462(a,1,2))]. 8808 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4828(a,1),8500(a,1,1,1,2)),flip(a)]. 8809 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(589(a,1),8611(a,1,2))]. 8810 K(x,a(K(x,y),z,u)) = 1. [hyper(66,a,6013,a(flip),b,8809,a),flip(a)]. 8812 T(x,a(K(x,y),z,u)) = x. [hyper(59,a,8810,a)]. 8813 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,8812,a)]. 8814 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8812(a,1),28(a,1,1)),flip(a)]. 8815 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8812(a,1),7756(a,1,2,1)),flip(a)]. 8816 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8814(a,1),6154(a,1,2))]. 8817 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8813(a,1),7756(a,1,2,1)),flip(a)]. 8818 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8732(a,2,2))]. 8819 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7999,a,8807,a)]. 8821 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5527(a,1),7638(a,1,2))]. 8822 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5527(a,1),8821(a,2,2))]. 8823 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [hyper(124,a,8822,a(flip),b,104,a),flip(a)]. 8824 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4121(a,1),8823(a,1,2,1))]. 8825 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4121(a,1),8824(a,2,2,2))]. 8826 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8825(a,1),4158(a,1,1))]. 8827 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(66,a,7066,a,b,7655,a)]. 8829 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7788(a,2),6546(a,1))]. 8831 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(66,a,7792,a(flip),b,8077,a)]. 8832 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(66,a,7695,a(flip),b,8086,a)]. 8833 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(66,a,7792,a(flip),b,8092,a)]. 8834 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(216(a,1),8833(a,1,2))]. 8835 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6327(a,2),8833(a,1,2,1))]. 8836 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [hyper(66,a,8027,a(flip),b,8108,a),flip(a)]. 8837 L(K(T(x \ 1,y),z),u,w) = K(T(L(x,u,w) \ 1,y),z). [para(8028(a,1),8114(a,1,1))]. 8838 K(T(L(x \ 1,y,z) \ 1,u),w) = L(K(T(x,u),w),y,z). [para(3345(a,1),8837(a,1,1)),flip(a)]. 8839 K(x,T(L(y \ 1,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(8838(a,1),5320(a,1,1)),flip(a)]. 8840 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5335(a,1),8119(a,1,2,2))]. 8841 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(180,a,8840,a)]. 8843 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5149(a,2),8841(a,1,1,1))]. 8844 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5385(a,1),8841(a,1,1)),flip(a)]. 8845 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5400(a,1),8841(a,1,1)),flip(a)]. 8846 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7768(a,1),8845(a,1,1))]. 8847 L(x,y,x) \ x = x \ R(x,y,x). [hyper(66,a,5792,a(flip),b,8846,a),flip(a)]. 8848 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(285,a,2229,a,b,8843,a),flip(a)]. 8849 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1523(a,1),8848(a,1,1)),flip(a)]. 8850 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6280(a,1),8844(a,1,1))]. 8851 R(x,y,x) \ x = x \ L(x,y,x). [hyper(66,a,8549,a(flip),b,8850,a),flip(a)]. 8852 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,7040,a,b,8851,a)]. 8853 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(122,a,8851,a(flip),b,1153,a)]. 8854 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),2708(a,1,1,2,1))]. 8855 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8853(a,1),5056(a,2,2))]. 8856 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(8160(a,1),6629(a,1,2))]. 8857 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(66,a,7696,a(flip),b,8161,a)]. 8858 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(66,a,6692,a(flip),b,8198,a)]. 8859 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(8637(a,1),8318(a,1,2))]. 8860 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(4062(a,1),8346(a,2,2))]. 8861 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(8860(a,1),5731(a,1,1))]. 8862 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(66,a,8748,a(flip),b,8861,a),flip(a)]. 8863 L(x,R(y,x,y),x) = L(x,y,x). [hyper(66,a,5661,a(flip),b,8862,a)]. 8864 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(285,a,4332,a(flip),b,8863,a),flip(a)]. 8865 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(616(a,1),8382(a,1,1,2,1)),flip(a)]. 8866 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(66,a,7114,a(flip),b,8467,a),flip(a)]. 8868 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7681(a,2),8476(a,2,1))]. 8869 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(224,a,8484,a,b,xx)]. 8871 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(8869(a,1),981(a,2,1))]. 8873 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8491(a,1),8438(a,1))]. 8874 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,y)). [hyper(285,a,8226,a(flip),b,8494,a),flip(a)]. 8875 K(x,x \ y) * ((z * (x \ y)) * x) = T((z * (y / x)) * x,K(x,y)). [para(7567(a,1),8874(a,1,2))]. 8876 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(285,a,8513,a(flip),b,8514,a),flip(a)]. 8877 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(15(a,1),8876(a,1,2,1,1)),flip(a)]. 8878 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(66,a,8474,a(flip),b,8877,a)]. 8879 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(7217(a,2),8592(a,2,2))]. 8880 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7681(a,2),8596(a,1,2))]. 8881 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(285,a,5302,a,b,8621,a),flip(a)]. 8882 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(96(a,1),8881(a,1,2,1,2)),flip(a)]. 8883 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7396(a,1),8702(a,1,2)),flip(a)]. 8885 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(8777(a,1),8778(a,1,1))]. 8886 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(5977(a,1),8779(a,2,1,1))]. 8887 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(285,a,5625,a(flip),b,8827,a),flip(a)]. 8888 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(66,a,8516,a(flip),b,8887,a)]. 8889 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [hyper(66,a,4612,a,b,8839,a)]. 8890 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(285,a,1810,a(flip),b,8855,a),flip(a)]. 8891 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5530(a,1),8890(a,1,2))]. 8892 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(285,a,6688,a(flip),b,8858,a),flip(a)]. 8893 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(133,a,8859,a)]. 8894 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(4259(a,1),8864(a,1,2)),flip(a)]. 8895 L(x,L(y,x,y),x) = L(x,y,x). [hyper(285,a,4328,a(flip),b,8894,a),flip(a)]. 8897 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(8895(a,1),34(a,1,1)),flip(a)]. 8898 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(285,a,34,a(flip),b,8897,a),flip(a)]. 8899 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(66,a,5309,a,b,8898,a)]. 8900 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(66,a,7184,a(flip),b,8883,a),flip(a)]. 8901 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(x,T(y,w)),z,u). [hyper(285,a,6032,a(flip),b,8889,a),flip(a)]. 8902 L(K(x,T(y \ 1,z)),u,w) = K(x,T(L(y,u,w) \ 1,z)). [para(87(a,1),8901(a,1,2,1,1,1)),flip(a)]. 8903 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(32(a,2),7793(a,1,1))]. 8904 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8021(a,1),8314(a,1,2))]. 8905 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(285,a,8015,a(flip),b,8101,a),flip(a)]. 8906 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(66,a,8465,a(flip),b,8905,a),flip(a)]. 8907 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6556,a,8906,a)]. 8909 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(66,a,6120,a,b,8906,a)]. 8910 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(14(a,1),8906(a,1,2,1,1)),flip(a)]. 8913 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(66,a,7995,a(flip),b,8910,a),flip(a)]. 8914 K(x,T(L(y,z,u) \ 1,u * z)) = K(x,(u * z) / (u * (z * y))). [para(103(a,1),8913(a,2,2,2))]. 8915 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(66,a,8008,a(flip),b,8110,a),flip(a)]. 8916 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(8470(a,1),6083(a,1,1,1)),flip(a)]. 8918 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8598(a,1),4179(a,1,2))]. 8919 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5074(a,1),8649(a,1,1,1))]. 8920 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5097(a,1),8919(a,1,1)),flip(a)]. 8921 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(285,a,30,a,b,8920,a),flip(a)]. 8922 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(8921(a,1),34(a,1,1)),flip(a)]. 8923 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(66,a,7032,a(flip),b,8669,a),flip(a)]. 8924 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5516(a,1),8923(a,1,1,2,1)),flip(a)]. 8925 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8923(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8926 K(x,R(y \ 1,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [hyper(66,a,7163,a(flip),b,8684,a)]. 8927 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(8786(a,1),7712(a,2,1))]. 8928 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(66,a,8622,a(flip),b,8787,a),flip(a)]. 8930 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8804(a,2),6262(a,1))]. 8931 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2684(a,1),8903(a,2,1,1))]. 8932 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7626(a,1),7633(a,1,2,2)),flip(a)]. 8933 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(285,a,5595,a(flip),b,8932,a),flip(a)]. 8935 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,8933,a),flip(a)]. 8936 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,7107,a(flip),b,7750,a),flip(a)]. 8937 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,6727,a(flip),b,8936,a)]. 8938 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(205(a,1),8936(a,1,1,2)),flip(a)]. 8940 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8938(a,2),6554(a,1))]. 8941 (x * (y * K(z,u))) / (K(u,z) \ y) = x * K(u,K(z,K(u,z) \ y)). [para(7396(a,1),7877(a,1,1,2))]. 8942 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7932(a,1),7923(a,1,1))]. 8943 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / z) = x / z. [hyper(5452,a,8942,a)]. 8944 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8942(a,1),114(a,1,1,1)),flip(a)]. 8945 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8943(a,1),47(a,1)),flip(a)]. 8946 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(285,a,8008,a(flip),b,8032,a),flip(a)]. 8948 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(136,a,8946,a)]. 8949 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(28(a,1),8948(a,1,2))]. 8950 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(66,a,5519,a(flip),b,8949,a),flip(a)]. 8951 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(143,a,8950,a),flip(a)]. 8953 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(8159(a,1),8951(a,1,1)),flip(a)]. 8954 L(x,y,T(x,z)) = L(x,y,x). [hyper(285,a,5670,a(flip),b,8953,a),flip(a)]. 8958 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8954(a,1),30(a,2,1))]. 8961 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(285,a,30,a,b,8958,a),flip(a)]. 8963 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5114(a,1),8245(a,1,2)),flip(a)]. 8964 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(66,a,8722,a(flip),b,8317,a)]. 8965 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8389(a,2),5220(a,2,1))]. 8966 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(285,a,8334,a(flip),b,8415,a),flip(a)]. 8967 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(66,a,8419,a(flip),b,8966,a)]. 8970 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5340(a,1),8597(a,1,1,2))]. 8971 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [hyper(66,a,8149,a(flip),b,8601,a),flip(a)]. 8973 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [hyper(285,a,6626,a,b,8971,a),flip(a)]. 8974 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (y / x)). [hyper(285,a,8130,a,b,8973,a),flip(a)]. 8975 K(x \ y,(y / x) * z) = K(x \ y,z * (y / x)). [para(115(a,1),8974(a,1,2,1))]. 8976 K((x \ y) \ K(x \ y,(y / x) * z),u) = K(y \ x,T(u,z * (y / x))). [para(8975(a,2),8546(a,1,1,2))]. 8977 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4409(a,1),8624(a,1,2))]. 8978 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(285,a,8683,a(flip),b,8685,a),flip(a)]. 8979 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(66,a,8687,a,b,8978,a)]. 8980 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(90(a,1),8979(a,2,2,2,1))]. 8981 K(T(x,T(y,z)) \ K(y,u),w) = T(K(x \ K(y,u),w),T(y,z)). [hyper(66,a,6577,a(flip),b,8721,a),flip(a)]. 8982 T(((1 / x) * (x / y)) * y,K(y,x)) = a(x \ 1,y \ x,y). [hyper(66,a,6305,a(flip),b,8875,a),flip(a)]. 8983 T(a(x \ 1,x / y,y),K(y,x)) = a(x \ 1,y \ x,y). [para(3938(a,1),8982(a,1,1))]. 8984 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6607,a,8879,a)]. 8985 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8984(a,2),6049(a,1,2))]. 8986 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(285,a,34,a(flip),b,8922,a),flip(a)]. 8987 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,K(u,z) \ y)). [para(5334(a,1),8941(a,1,2))]. 8988 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8324(a,1),8970(a,1,1))]. 8989 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(66,a,6105,a(flip),b,8977,a),flip(a)]. 8990 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5150(a,1),8989(a,1,2,1)),flip(a)]. 8991 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),8990(a,1,2,2)),flip(a)]. 8992 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8991(a,1),7399(a,1,1,2)),flip(a)]. 8993 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(285,a,7399,a(flip),b,8992,a),flip(a)]. 8994 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(66,a,7020,a(flip),b,8993,a)]. 8996 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(285,a,7018,a(flip),b,8994,a),flip(a)]. 8997 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5360(a,1),8996(a,1,2)),flip(a)]. 8998 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5234(a,1),8996(a,1,2))]. 8999 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6254(a,1),8996(a,1,2)),flip(a)]. 9000 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8080(a,1),8996(a,1,2)),flip(a)]. 9001 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(66,a,7019,a(flip),b,8997,a)]. 9002 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8998(a,1),6160(a,1,1))]. 9004 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(14(a,1),9001(a,1,1,2)),flip(a)]. 9005 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8035(a,1),8999(a,1,2,2))]. 9006 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9002(a,1),47(a,1)),flip(a)]. 9007 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,y)). [para(8137(a,1),8987(a,2,2,2))]. 9008 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7884(a,2),9007(a,2,2))]. 9010 L(K(x,y) * K(x,K(y,z * (u * x))),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(6322(a,1),7922(a,2,1,2))]. 9011 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8015(a,1),8094(a,1,2,1,2))]. 9012 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(32(a,2),9011(a,2,2))]. 9013 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8015(a,1),8095(a,1,1,1,2))]. 9014 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(30(a,2),9013(a,2,2))]. 9015 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7695(a,1),9014(a,1,1,1,2))]. 9016 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6322(a,1),8355(a,1,2,1))]. 9017 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(66,a,8551,a(flip),b,9016,a),flip(a)]. 9018 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(285,a,8012,a(flip),b,9017,a),flip(a)]. 9020 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(66,a,7014,a(flip),b,9018,a)]. 9021 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(15(a,1),9018(a,1,2))]. 9022 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(8134(a,1),9018(a,1,1))]. 9023 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [hyper(124,a,9020,a,b,5125,a(flip))]. 9024 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(36(a,1),9020(a,2,2))]. 9025 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(9020(a,1),5190(a,2,1)),flip(a)]. 9026 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [hyper(285,a,32,a,b,9025,a),flip(a)]. 9027 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [hyper(122,a,9026,a(flip),b,5153,a)]. 9028 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(66,a,9005,a(flip),b,9022,a)]. 9030 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9018,a(flip),b,9028,a),flip(a)]. 9031 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(66,a,8142,a,b,9030,a)]. 9032 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7392(a,1),9030(a,1,2,1)),flip(a)]. 9034 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(5474,a,8370,a),flip(a)]. 9036 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(66,a,8019,a(flip),b,9034,a)]. 9037 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(6217(a,1),9036(a,1,1,1)),flip(a)]. 9038 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(66,a,9014,a(flip),b,9015,a),flip(a)]. 9039 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5246(a,1),9038(a,1,2,1))]. 9040 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5150(a,1),9039(a,2,2,1))]. 9041 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5399(a,1),9040(a,1,2,1))]. 9042 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4586(a,1),9041(a,1,2,1)),flip(a)]. 9043 K(x,L(y,z,y)) = K(x,y). [para(4245(a,1),9042(a,1,2)),flip(a)]. 9044 L(K(x,y),z,y) = K(x,y). [hyper(6652,a,9043,a)]. 9045 K(T(x / (y * z),y),z) = K((y * z) \ x,z). [hyper(66,a,8338,a(flip),b,9043,a)]. 9046 T(x,L(y,z,y)) = x * K(x,y). [hyper(124,a,9043,a(flip),b,5125,a(flip)),flip(a)]. 9047 K(x,R(y,z,y)) = K(x,y). [para(4586(a,1),9043(a,1,2)),flip(a)]. 9048 K(L(x,y,z),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9044,a)]. 9049 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(66,a,6663,a(flip),b,9044,a),flip(a)]. 9050 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(66,a,6662,a(flip),b,9044,a)]. 9051 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(124,a,9044,a(flip),b,7068,a(flip))]. 9056 R(K(x,y),z,y) = K(x,y). [hyper(7551,a,9047,a)]. 9057 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(285,a,5344,a,b,9047,a),flip(a)]. 9058 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [hyper(124,a,9047,a(flip),b,5805,a),flip(a)]. 9059 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(35(a,1),9048(a,1,1))]. 9060 K((x \ 1) \ y,x) = K(x * y,x). [para(452(a,1),9048(a,1,1)),flip(a)]. 9061 T(x,L(y,z,x)) = 1 / (x \ K(y,x)). [para(9048(a,1),5302(a,2,2,2))]. 9062 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9048(a,1),5805(a,1,2,1,2)),flip(a)]. 9063 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9048(a,1),5807(a,1,1,1,2)),flip(a)]. 9064 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9048(a,1),8027(a,1,1,2)),flip(a)]. 9065 K(R(x,y,z),z) = K(x,z). [hyper(66,a,9004,a(flip),b,9056,a)]. 9066 (K(x,y) * z) * y = K(x,y) * (z * y). [para(9056(a,1),112(a,1,1)),flip(a)]. 9067 K(T(x / (y * z),y),z) = K(y \ (x / z),z). [para(605(a,1),9065(a,1,1))]. 9068 T(x,L(y,z,y)) = x / K(y,x). [hyper(285,a,7396,a,b,9046,a),flip(a)]. 9069 T(x,L(y,z,y)) = T(x,y). [hyper(285,a,5130,a,b,9046,a),flip(a)]. 9071 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(630,a,9069,a),flip(a)]. 9073 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(285,a,4329,a(flip),b,9069,a),flip(a)]. 9075 L(x,y,x) * T(z,x) = z * L(x,y,x). [hyper(124,a,9069,a(flip),b,27,a(flip))]. 9077 T(x,R(y,z,y)) = T(x,y). [para(4586(a,1),9069(a,1,2)),flip(a)]. 9078 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(124,a,9077,a(flip),b,27,a(flip))]. 9079 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4290(a,1),9077(a,1,2))]. 9080 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4618(a,1),9077(a,1,2))]. 9081 K(R(x,y,x),z) = K(x,z). [hyper(39,a,5344,a,b,9057,a(flip))]. 9082 K(x,R(y,z,y)) != u | K(x,y) = u. [para(9057(a,2),5350(a,1))]. 9083 x * K(R(x,y,x),z) = T(x,z). [hyper(124,a,9081,a,b,5125,a(flip))]. 9084 R(K(x,y),z,x) = K(x,y). [hyper(66,a,9001,a(flip),b,9081,a)]. 9085 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(124,a,9081,a(flip),b,5179,a)]. 9086 K((x \ y) \ T(y,x),z) = K(x,z). [para(4252(a,1),9081(a,1,1))]. 9089 K(x,R(y,z,x)) = K(x,y). [hyper(66,a,9031,a(flip),b,9084,a)]. 9090 (K(x,y) * z) * x = K(x,y) * (z * x). [para(9084(a,1),112(a,1,1)),flip(a)]. 9092 T(x,R(y,z,x)) = x * K(x,y). [hyper(124,a,9089,a(flip),b,5125,a(flip)),flip(a)]. 9093 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6105(a,1),9089(a,1,2))]. 9094 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(9089(a,1),6813(a,1,1)),flip(a)]. 9095 K(L(x,y,x),z) = K(x,z). [hyper(5230,a,9068,a)]. 9097 L(K(x,y),z,x) = K(x,y). [hyper(66,a,8727,a(flip),b,9095,a)]. 9099 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9095(a,1),5272(a,1,1))]. 9100 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(8961(a,1),9095(a,1,1))]. 9101 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(285,a,14,a,b,9097,a),flip(a)]. 9102 K(x,L(y,z,x)) = K(x,y). [hyper(66,a,8735,a(flip),b,9097,a)]. 9103 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(66,a,6637,a(flip),b,9097,a)]. 9104 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(66,a,6636,a(flip),b,9097,a),flip(a)]. 9105 a(x,y,K(x,z)) = 1. [hyper(56,a,9097,a)]. 9106 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(124,a,9097,a(flip),b,104,a),flip(a)]. 9107 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(124,a,9097,a(flip),b,7068,a(flip))]. 9110 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(35(a,1),9102(a,1,2))]. 9111 K(x,(x \ 1) \ y) = K(x,x * y). [para(452(a,1),9102(a,1,2)),flip(a)]. 9112 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(695(a,1),9102(a,1,2)),flip(a)]. 9113 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9102(a,1),6653(a,1,1)),flip(a)]. 9114 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(122,a,9083,a(flip),b,6860,a),flip(a)]. 9115 T(x,R(y,z,x)) = T(x,y). [hyper(285,a,5130,a,b,9092,a),flip(a)]. 9116 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(605(a,1),9115(a,1,2))]. 9117 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(702(a,1),9115(a,1,2))]. 9121 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(66,a,6691,a(flip),b,9060,a),flip(a)]. 9122 x \ T(x * y,x) = y * K(x * y,x). [hyper(124,a,9060,a(flip),b,6466,a),flip(a)]. 9123 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(9060(a,1),6661(a,1,1))]. 9124 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(9060(a,1),6902(a,1,2,1,2))]. 9125 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(9060(a,1),6953(a,1,2,1,2))]. 9127 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(66,a,8574,a,b,9079,a)]. 9128 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(66,a,8399,a(flip),b,9079,a),flip(a)]. 9129 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(117(a,1),9079(a,1,2))]. 9130 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(4076(a,1),9079(a,1,2))]. 9131 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(630,a,9129,a),flip(a)]. 9132 T(x,L(y,z,x)) = T(x,y). [hyper(285,a,5302,a,b,9061,a),flip(a)]. 9133 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9132(a,1,2))]. 9134 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(453(a,1),9132(a,1,2)),flip(a)]. 9135 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(822(a,1),9132(a,1,2)),flip(a)]. 9136 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(706(a,1),9093(a,1,2,2))]. 9137 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9100(a,1),5272(a,1,1))]. 9139 L(K(x,y),z,x) != u | K(x,y) = u. [para(9101(a,2),304(a,1)),flip(b)]. 9140 K(L(x,y,x),z) != u | K(x,z) = u. [para(6653(a,1),9139(a,1))]. 9141 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6637(a,1),9139(a,1))]. 9142 K(x,y) != z | K(R(x,u,x),y) = z. [para(4586(a,1),9140(a,1,1))]. 9144 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(15(a,1),9049(a,2,1,2))]. 9145 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(9049(a,1),6662(a,1,1))]. 9146 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1483(a,1),9050(a,1,1,1)),flip(a)]. 9147 T(T(x * K(y \ (x \ z),x),u),w) \ T(T(x,u),w) = K(T(T(x,u),w),(x * y) \ z). [para(9050(a,1),5894(a,1,1,1,1,2))]. 9148 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9050(a,1),8745(a,1,1,1,2))]. 9149 x * (y * K(x * y,x)) = T(x * y,x). [hyper(5180,a,9051,a),flip(a)]. 9150 R(x,y,K(z,x)) = x. [hyper(475,a,9051,a)]. 9151 R(x,y,K(z,T(x,u))) = x. [hyper(144,a,9150,a(flip))]. 9152 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9150(a,1),471(a,1,1,1)),flip(a)]. 9153 (R(x,y,z) * u) * K(w,x) = R(x,y,z) * (u * K(w,x)). [para(9150(a,1),473(a,1,1,1)),flip(a)]. 9157 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9151(a,1),112(a,1,1)),flip(a)]. 9158 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9151(a,1),472(a,1,1,1)),flip(a)]. 9159 L(x,y,K(z,x)) = x. [hyper(445,a,9066,a)]. 9161 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(116(a,1),9066(a,1,1)),flip(a)]. 9162 L(x,y,K(x,z)) = x. [hyper(6947,a,9159,a)]. 9163 L(x,y,K(z,L(x,u,w))) = x. [hyper(147,a,9159,a)]. 9165 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(9159(a,1),35(a,1,1)),flip(a)]. 9166 (K(x,y) * z) * y != u | K(x,y) * (z * y) = u. [para(9159(a,1),265(a,1,2))]. 9167 (K(x,y) * z) * L(y,u,w) = K(x,y) * (z * L(y,u,w)). [para(9159(a,1),410(a,1,2,1))]. 9168 L(K(x,y),z,K(u,y)) = K(x,y). [para(9159(a,1),6646(a,1,2)),flip(a)]. 9169 L(K(x,y),z,K(u,x)) = K(x,y). [para(9159(a,1),6651(a,1,1)),flip(a)]. 9170 L(x,y,K(R(x,z,u),w)) = x. [hyper(149,a,9162,a(flip))]. 9171 L(T(x,y),z,K(x,u)) = T(x,y). [para(9162(a,1),30(a,2,1))]. 9172 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(9162(a,1),410(a,1,2,1))]. 9173 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(9162(a,1),411(a,1,2,1))]. 9176 L(K(x,y),z,K(y,u)) = K(x,y). [para(9162(a,1),6646(a,1,2)),flip(a)]. 9177 L(K(x,y),z,K(x,u)) = K(x,y). [para(9162(a,1),6651(a,1,1)),flip(a)]. 9179 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(9163(a,1),5280(a,1,2)),flip(a)]. 9180 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(9170(a,1),444(a,1,2,2)),flip(a)]. 9181 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(66,a,8726,a(flip),b,9168,a)]. 9182 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [hyper(124,a,9168,a(flip),b,7068,a(flip))]. 9183 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(66,a,8735,a(flip),b,9169,a)]. 9184 (K(x,y) * (x \ z)) \ (K(x,y) * z) = T(x,x \ z). [hyper(66,a,320,a(flip),b,9171,a)]. 9188 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [hyper(124,a,9176,a(flip),b,7068,a(flip))]. 9189 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(9176(a,1),411(a,1,2,1))]. 9192 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(6094(a,1),9176(a,1,3))]. 9193 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(66,a,8735,a(flip),b,9177,a)]. 9194 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [hyper(124,a,9177,a(flip),b,7068,a(flip))]. 9195 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(9177(a,1),30(a,2,1))]. 9196 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(9177(a,1),34(a,1,1)),flip(a)]. 9197 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(66,a,8584,a(flip),b,9181,a)]. 9198 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9181(a,1),5232(a,2,1,1))]. 9199 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(35(a,1),9183(a,1,2))]. 9200 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(9193(a,1),7881(a,1,2)),flip(a)]. 9202 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(9165(a,1),499(a,1,2))]. 9203 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [hyper(124,a,9071,a(flip),b,27,a(flip)),flip(a)]. 9205 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(118(a,1),9075(a,1,2))]. 9207 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(118(a,1),9078(a,1,2))]. 9209 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5960,a,9080,a),flip(a)]. 9210 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(3372,a,9085,a)]. 9211 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(122,a,9085,a(flip),b,5524,a)]. 9212 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(9085(a,1),4452(a,1,1)),flip(a)]. 9213 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(285,a,5518,a(flip),b,9090,a),flip(a)]. 9215 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(8228(a,1),9090(a,1,1)),flip(a)]. 9217 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5452,a,9099,a)]. 9219 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(122,a,9099,a(flip),b,5530,a)]. 9220 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(122,a,9099,a(flip),b,5529,a),flip(a)]. 9221 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9099(a,1),8891(a,1,2)),flip(a)]. 9222 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(66,a,8423,a,b,9103,a)]. 9223 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(66,a,7369,a(flip),b,9103,a),flip(a)]. 9224 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(5435(a,1),9103(a,1,2,1)),flip(a)]. 9225 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(9103(a,1),5946(a,1,1))]. 9226 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9103(a,1),6563(a,2,2))]. 9227 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(66,a,8154,a,b,9104,a)]. 9228 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9104(a,1),6637(a,1,1))]. 9230 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(122,a,5131,a(flip),b,9106,a),flip(a)]. 9231 (x \ y) * K(y,x) = x \ T(y,x). [hyper(7409,a,9230,a)]. 9232 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(128,a,9230,a),flip(a)]. 9233 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(9231(a,1),23(a,2,1)),flip(a)]. 9234 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(27(a,2),9231(a,1,1))]. 9235 R(x,y,K(x,z)) = x. [hyper(475,a,9107,a)]. 9236 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9107(a,1),6311(a,1,1))]. 9237 R(x,y,K(T(x,z),u)) = x. [hyper(144,a,9235,a(flip))]. 9238 R(T(x,y),z,K(x,u)) = T(x,y). [para(9235(a,1),32(a,2,1))]. 9239 R((x * y) / x,z,K(y,u)) = (x * y) / x. [para(9235(a,1),783(a,2,1,2))]. 9240 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9235(a,1),471(a,1,1,1)),flip(a)]. 9241 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9235(a,1),472(a,1,1,1)),flip(a)]. 9242 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9235(a,1),473(a,1,1,1)),flip(a)]. 9243 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(9235(a,1),1192(a,1,1,3,2))]. 9248 R(x,y,T(x,z)) = R(x,y,x). [para(9235(a,1),6901(a,1,1)),flip(a)]. 9250 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9237(a,1),474(a,1,1)),flip(a),flip(b)]. 9253 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(118(a,1),9248(a,1,3)),flip(a)]. 9254 R(x,y,(x \ z) \ z) = R(x,y,x). [para(117(a,1),9248(a,1,3))]. 9255 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(615(a,1),9248(a,1,3))]. 9256 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9248(a,1),988(a,2,2))]. 9261 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(9238(a,1),6901(a,1,1)),flip(a)]. 9262 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(124,a,7819,a(flip),b,9122,a)]. 9263 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(66,a,4495,a,b,9122,a)]. 9264 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(66,a,1362,a,b,9122,a)]. 9265 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(4084(a,1),9122(a,1,2,1)),flip(a)]. 9266 x \ T(x * y,x) = y * K(y * x,x). [para(5785(a,2),9122(a,2,2))]. 9267 K((((x \ (x * y)) \ 1) * (x \ 1)) \ 1,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(9122(a,1),6971(a,1,2))]. 9268 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(9122(a,2),7561(a,1,1,2))]. 9269 T(x,y \ (x \ 1)) / (x * y) = x * ((x / (x * y)) / x). [hyper(123,a,9133,a(flip),b,3815,a)]. 9270 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(15(a,1),9133(a,1,2,1)),flip(a)]. 9271 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ z)) = T(1 / x,(y * ((1 / x) / y)) \ z). [para(7173(a,1),9133(a,1,2,1)),flip(a)]. 9272 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9133(a,1),8419(a,1,2))]. 9273 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(66,a,8561,a,b,9134,a)]. 9274 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(66,a,7634,a,b,9134,a)]. 9275 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,9144,a)]. 9276 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(9192(a,1),35(a,1,1)),flip(a)]. 9278 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5101(a,1),9197(a,1,1,2))]. 9279 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5146(a,1),9197(a,1,1,2))]. 9280 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5360(a,1),9197(a,1,1,2)),flip(a)]. 9281 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5234(a,1),9197(a,1,1,2))]. 9282 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5545(a,1),9197(a,1,1,2))]. 9284 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5709(a,1),9197(a,1,1,2))]. 9285 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5832(a,1),9197(a,1,1,2))]. 9286 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(224,a,9213,a,b,5152,a)]. 9289 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(285,a,7366,a,b,9223,a)]. 9290 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(285,a,7157,a(flip),b,9223,a),flip(a)]. 9291 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(9223(a,2),7174(a,1,2))]. 9292 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(285,a,4225,a(flip),b,9261,a),flip(a)]. 9293 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [hyper(124,a,9261,a(flip),b,4248,a),flip(a)]. 9294 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5150(a,1),9261(a,1,1)),flip(a)]. 9295 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(9261(a,1),9047(a,1,2))]. 9296 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(9261(a,1),9077(a,1,2))]. 9297 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(32(a,1),9295(a,1,2))]. 9298 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(32(a,1),9296(a,1,2))]. 9299 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4259(a,1),9297(a,1,2,1)),flip(a)]. 9300 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(66,a,3981,a(flip),b,9298,a),flip(a)]. 9301 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4259(a,1),9298(a,1,2,1)),flip(a)]. 9302 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(9266(a,1),6343(a,1,1))]. 9303 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2710(a,1),9274(a,1,2,1)),flip(a)]. 9304 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(66,a,8187,a,b,9275,a)]. 9305 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [hyper(6674,a,9278,a)]. 9306 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(285,a,6844,a,b,9279,a)]. 9307 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(9279(a,1),8027(a,1,1,2))]. 9308 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(9279(a,1),8780(a,1,2,1,2,2))]. 9309 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5115(a,1),9280(a,1,1,2)),flip(a)]. 9310 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(5153(a,2),9280(a,1,1,2))]. 9311 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),9280(a,1,1,2,1))]. 9312 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6270,a,9286,a),flip(a)]. 9313 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6257,a,9286,a)]. 9314 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(285,a,2432,a(flip),b,9286,a),flip(a)]. 9315 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(15(a,1),9286(a,1,1)),flip(a)]. 9316 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(28(a,1),9286(a,2,2))]. 9317 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7681(a,2),9286(a,2,2))]. 9319 K(x,R((y \ 1) * x,z,u) \ 1) = R(K(x,x \ y),z,u). [para(9290(a,1),6934(a,1,1)),flip(a)]. 9320 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(87(a,1),9304(a,1,1,1)),flip(a)]. 9321 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T((T(y,u) * K(z,u)) \ 1,K(z,u) \ 1)). [para(9312(a,2),7847(a,2,2,1,1)),flip(a)]. 9322 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(14(a,1),9313(a,1,2,1)),flip(a)]. 9323 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9313(a,1),1417(a,1,1)),flip(a)]. 9324 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9313(a,1),6268(a,1,1)),flip(a)]. 9325 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(66,a,5185,a,b,9315,a)]. 9327 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(122,a,9315,a(flip),b,972,a),flip(a)]. 9328 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(123,a,9322,a,b,xx)]. 9330 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5764(a,1),9322(a,1,1)),flip(a)]. 9331 K(x,T(K(y,z) * u,z) \ 1) = K(x,T(u,z) \ K(z,y)). [para(9322(a,2),6416(a,1,2,1))]. 9332 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(122,a,9324,a,b,5152,a)]. 9335 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5158(a,1),9328(a,1,1,1))]. 9336 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,9064,a),flip(a)]. 9337 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(453(a,1),9336(a,1,2,2)),flip(a)]. 9338 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(285,a,5232,a,b,9198,a),flip(a)]. 9339 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),9338(a,1,2))]. 9340 (((x * y) / x) \ z) * K(y,y \ z) = ((x * y) / x) \ (y * (z / y)). [para(9239(a,1),5622(a,1,1)),flip(a)]. 9341 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(9292(a,1),9297(a,1,2,1))]. 9343 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(285,a,6513,a,b,9058,a)]. 9344 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(285,a,3195,a(flip),b,9058,a),flip(a)]. 9345 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9058(a,2,2))]. 9346 K((x * y) \ z,y) = K(x \ (z / y),y). [hyper(66,a,9045,a(flip),b,9067,a)]. 9347 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(285,a,8200,a(flip),b,9346,a),flip(a)]. 9348 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(124,a,9347,a(flip),b,6349,a),flip(a)]. 9349 K(L(x \ y,x,z / y),x) = K((z / y) \ (x \ z),x). [para(455(a,2),9347(a,1,1))]. 9350 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9347(a,1),5803(a,1,1,1,2))]. 9351 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(9347(a,1),7399(a,1,1,2))]. 9352 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(66,a,8564,a(flip),b,9116,a)]. 9353 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(285,a,7644,a(flip),b,9352,a),flip(a)]. 9354 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9353(a,1,2))]. 9355 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(8452,a,9121,a)]. 9356 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6423,a,9121,a)]. 9357 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8873,a,9128,a)]. 9360 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6447,a,9203,a)]. 9361 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4586(a,1),9205(a,1,1)),flip(a)]. 9362 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(9207(a,2),1622(a,1,1))]. 9363 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(4252(a,1),9207(a,2,2))]. 9364 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9207(a,1),6264(a,2,2))]. 9365 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9236(a,1),6323(a,1,2))]. 9366 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7453(a,2),9253(a,1,1))]. 9367 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(9263(a,2),5392(a,2,1,2))]. 9368 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(9263(a,2),7642(a,1,2,1))]. 9369 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(211(a,1),9285(a,1,1)),flip(a)]. 9370 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9289(a,1),6939(a,2,2))]. 9371 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(66,a,5337,a(flip),b,9299,a),flip(a)]. 9372 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(4189(a,1),9299(a,1,2))]. 9373 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(124,a,9300,a(flip),b,1679,a)]. 9374 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4189(a,1),9301(a,1,2))]. 9375 K((x / y) \ z,T(z,y)) = K((y \ x) \ z,z). [hyper(285,a,6665,a,b,9306,a),flip(a)]. 9376 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(87(a,1),9306(a,1,1,1)),flip(a)]. 9377 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(9310(a,1),5724(a,1,1,1,2)),flip(a)]. 9378 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(5435(a,1),9332(a,1,2,1))]. 9379 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9355(a,1),6185(a,1,1,1))]. 9380 T(x \ 1,y) \ T(x \ K(x \ z,x \ 1),y) = K(z * (x \ 1),T(x \ 1,y)). [para(9355(a,1),5892(a,1,2,1,2))]. 9384 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(66,a,6165,a,b,9371,a)]. 9385 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(28(a,1),9372(a,2,2))]. 9386 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(4294(a,1),9385(a,1,2)),flip(a)]. 9387 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(285,a,6653,a(flip),b,9113,a),flip(a)]. 9388 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(453(a,1),9387(a,1,2)),flip(a)]. 9390 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4370(a,1),9293(a,2,2))]. 9391 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(66,a,7995,a(flip),b,9112,a),flip(a)]. 9392 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9391(a,2),7726(a,1,1))]. 9393 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(285,a,9221,a(flip),b,9114,a),flip(a)]. 9394 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(285,a,8570,a(flip),b,9117,a),flip(a)]. 9395 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,9152,a)]. 9396 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(66,a,8203,a(flip),b,9152,a),flip(a)]. 9397 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9395,a)]. 9398 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(66,a,6662,a(flip),b,9395,a)]. 9400 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(9395(a,1),410(a,1,2,1))]. 9401 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(789(a,1),9397(a,1,1))]. 9402 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(6760,a,9157,a),flip(a)]. 9403 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(445,a,9157,a)]. 9404 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(66,a,6662,a(flip),b,9403,a)]. 9405 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7495,a,9161,a)]. 9406 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(8226(a,1),9405(a,2,1))]. 9407 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [hyper(66,a,8893,a(flip),b,9179,a)]. 9408 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(9182(a,1),7941(a,1,2))]. 9409 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K((x \ y) \ u,x \ y)) \ y. [hyper(285,a,7461,a,b,9184,a),flip(a)]. 9410 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(9188(a,1),981(a,1,1,2))]. 9411 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8015(a,1),9188(a,1,2)),flip(a)]. 9413 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(9194(a,1),8309(a,2,2))]. 9414 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(66,a,6263,a(flip),b,9212,a)]. 9415 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(66,a,4967,a(flip),b,9226,a),flip(a)]. 9416 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(66,a,4946,a(flip),b,9226,a),flip(a)]. 9417 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,9240,a)]. 9418 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(66,a,6637,a(flip),b,9417,a)]. 9419 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(9262(a,1),6586(a,1,1,1))]. 9420 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(9281(a,1),7035(a,1,1))]. 9421 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(38,a,6319,a,b,9291,a)]. 9422 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(9421(a,1),7432(a,1,1)),flip(a)]. 9423 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(9309(a,1),5807(a,1,1,1,2))]. 9424 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(66,a,8048,a(flip),b,9311,a),flip(a)]. 9425 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5146(a,1),9311(a,1,1,2)),flip(a)]. 9427 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5516(a,1),9311(a,1,1,2)),flip(a)]. 9428 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7997(a,1),9311(a,1,1,2))]. 9430 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(66,a,7994,a(flip),b,9424,a),flip(a)]. 9431 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9430(a,1),7399(a,1,1,2)),flip(a)]. 9432 K((x * K(y,z)) / u,z) = K(x / u,z). [para(8080(a,1),9430(a,1,1,1)),flip(a)]. 9433 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9430(a,1),8780(a,1,2,1,2,2)),flip(a)]. 9434 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1270(a,1),9432(a,1,1,1))]. 9435 K((x * L(K(y,z),u,w)) / v5,z) = K(x / v5,z). [para(5981(a,1),9432(a,1,1,1,2))]. 9436 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(9434(a,1),7399(a,1,1,2)),flip(a)]. 9437 K((x * (y * K(z,u))) / w,z) = K((x * y) / w,z). [para(7558(a,1),9435(a,1,1,1)),flip(a)]. 9438 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(285,a,5552,a(flip),b,9316,a),flip(a)]. 9439 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(9438(a,1),7990(a,1,1))]. 9440 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(976(a,1),9337(a,1,2,2)),flip(a)]. 9441 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(66,a,8616,a(flip),b,9339,a)]. 9443 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5101(a,1),9441(a,1,2,2))]. 9444 T(x,y \ T(x,z)) = T(x,y \ x). [para(5143(a,1),9441(a,1,2,2)),flip(a)]. 9445 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5146(a,1),9441(a,1,2,2))]. 9446 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5158(a,1),9441(a,1,2,2)),flip(a)]. 9447 T(K(x \ T(y,z),u),T(y,x \ y)) = T(K(x \ T(y,z),u),y). [para(9444(a,1),8397(a,1,2))]. 9448 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9445(a,1),5178(a,1,2,1))]. 9449 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9445(a,1),8522(a,1,2))]. 9450 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(118(a,1),9446(a,1,2,2,1)),flip(a)]. 9451 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(7411,a,9351,a),flip(a)]. 9452 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(9351(a,1),7411(a,1))]. 9453 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9451(a,1,2))]. 9454 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(105(a,2),9452(a,1,2))]. 9455 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,((x / y) \ (x * z)) / x). [hyper(285,a,7744,a(flip),b,9453,a),flip(a)]. 9456 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(66,a,7361,a(flip),b,9453,a),flip(a)]. 9457 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4083(a,1),9453(a,2,2,2,2))]. 9458 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(4201(a,1),9453(a,2,2,2,2))]. 9459 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9393(a,1),9131(a,1,1,2,1))]. 9460 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(9122(a,2),9396(a,1,2))]. 9461 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(285,a,9282,a(flip),b,9398,a),flip(a)]. 9463 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9461(a,1),7884(a,2,2))]. 9466 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(9404(a,1),5977(a,1,1))]. 9467 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(9416(a,1),7399(a,1,1))]. 9468 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(37,a,6721,a,b,9422,a),flip(a)]. 9469 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(66,a,9144,a(flip),b,9468,a),flip(a)]. 9470 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [hyper(66,a,6484,a(flip),b,9468,a),flip(a)]. 9471 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1081(a,1),9469(a,1,1,2,1)),flip(a)]. 9472 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(9469(a,1),5302(a,2,2,2))]. 9473 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(285,a,6724,a(flip),b,9425,a),flip(a)]. 9474 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6311(a,1),9425(a,1,1,2)),flip(a)]. 9475 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(285,a,7399,a(flip),b,9431,a),flip(a)]. 9476 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5146(a,1),9475(a,1,2,1)),flip(a)]. 9477 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5564(a,1),9475(a,1,2,1))]. 9478 R(K(x,y / (z / u)),K(x,w) * y,u) = K(x,((K(x,w) * y) * u) / z). [para(9475(a,1),6102(a,1,1))]. 9479 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8357(a,1),9475(a,1,2,1))]. 9480 x * K(x,(x * y) / z) = T(x,(y * x) / z). [hyper(124,a,9476,a(flip),b,5125,a(flip))]. 9481 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(1552(a,1),9476(a,2,2))]. 9482 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5180,a,9480,a),flip(a)]. 9484 K((x * (y * z)) / u,z) = K((x * (z * y)) / u,z). [para(96(a,1),9437(a,1,1,1,2)),flip(a)]. 9485 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(7682(a,1),9437(a,1,1,1,2))]. 9486 K((x * (y * K(z,u))) / w,T(z,v5)) = K((x * y) / w,T(z,v5)). [para(7990(a,1),9437(a,1,1,1,2,2))]. 9487 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1642(a,1),9460(a,1,2)),flip(a)]. 9488 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1672(a,1),9460(a,1,2)),flip(a)]. 9489 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(393(a,2),9467(a,1,1,2,2,1))]. 9490 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(9467(a,1),1353(a,1,1,2,1))]. 9491 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(285,a,5302,a,b,9472,a),flip(a)]. 9492 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(14(a,1),9491(a,1,2,2,1)),flip(a)]. 9493 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1081(a,1),9491(a,1,2,2,1)),flip(a)]. 9494 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(66,a,9133,a(flip),b,9492,a)]. 9495 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,9494,a),flip(a)]. 9496 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K((L(y,z,x) * (x * z)) / u,T(y,x * z)). [para(582(a,1),9484(a,1,1,1)),flip(a)]. 9497 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [hyper(66,a,8689,a(flip),b,9485,a)]. 9498 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7685(a,1),9330(a,1,2))]. 9499 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(66,a,5764,a(flip),b,9498,a),flip(a)]. 9500 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(254,a,9499,a)]. 9501 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7540(a,1),9500(a,1,1))]. 9502 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(28(a,1),9384(a,1,2))]. 9503 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(66,a,6225,a(flip),b,9502,a)]. 9504 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(28(a,1),9503(a,1,2))]. 9505 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(4200(a,1),9504(a,2,2))]. 9506 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5785(a,2),9124(a,1,2,1,2))]. 9507 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(37,a,9149,a,b,9125,a)]. 9509 L(K(x,y),z,R(y,u,w)) = K(x,y). [hyper(445,a,9153,a)]. 9510 K(x,L(y,z,R(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9509,a)]. 9511 K(T(x,R(y,z,u) * w),y) = K(T(x,w),y). [hyper(66,a,8806,a(flip),b,9510,a),flip(a)]. 9513 R(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(475,a,9167,a)]. 9514 K((x * L(y,z,u)) / w,y) = K(x / (w / L(y,z,u)),y). [hyper(66,a,7033,a(flip),b,9513,a)]. 9515 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(475,a,9173,a)]. 9516 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5146(a,1),9173(a,1,1)),flip(a)]. 9517 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(9173(a,1),5521(a,1,1,2))]. 9518 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(66,a,9031,a(flip),b,9515,a)]. 9519 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,9004,a(flip),b,9515,a)]. 9520 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(706(a,1),9518(a,1,2))]. 9521 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9519(a,1),5190(a,2,1)),flip(a)]. 9522 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9519(a,1),6512(a,1,1,1)),flip(a)]. 9523 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5334(a,1),9224(a,1,2))]. 9524 K(x,L(x * (y \ z),x \ 1,y) \ 1) = K(x,z \ (y * (x \ 1))). [hyper(66,a,6636,a(flip),b,9225,a),flip(a)]. 9525 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(90(a,1),9225(a,1,1,2,2)),flip(a)]. 9526 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,9241,a)]. 9527 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9241(a,1),7399(a,1,1))]. 9528 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9241(a,1),7411(a,1,1))]. 9529 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(9241(a,1),7941(a,1,2))]. 9530 K(x,T(L(y,z,L(x,u,w)) \ 1,v5)) = K(x,T(y \ 1,v5)). [hyper(66,a,8902,a(flip),b,9526,a)]. 9531 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9526,a)]. 9532 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,8805,a(flip),b,9531,a),flip(a)]. 9534 K(x,(L(x,y,z) * u) / (L(x,y,z) * (u * w))) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,8914,a(flip),b,9532,a)]. 9535 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9532(a,1,2,2)),flip(a)]. 9536 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6756,a,9242,a),flip(a)]. 9537 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(519,a,9242,a),flip(a)]. 9538 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(445,a,9242,a)]. 9539 ((x / y) * R(y,z,y)) * K(y,u) = R(y,z,y) * ((y \ x) * K(y,u)). [para(9207(a,1),9242(a,1,1))]. 9540 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9538,a)]. 9541 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(128,a,9537,a)]. 9543 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(9266(a,1),9264(a,1,1)),flip(a)]. 9544 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) / (y * ((1 / x) / y)) = (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)). [para(7173(a,1),9269(a,1,2))]. 9545 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(66,a,8027,a(flip),b,9307,a),flip(a)]. 9546 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5307(a,1),9314(a,1,1))]. 9547 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(285,a,5799,a(flip),b,9546,a),flip(a)]. 9548 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(66,a,6754,a,b,9547,a)]. 9549 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9325(a,2),1416(a,2,1,2))]. 9550 K(x,T(y,z) \ K(z,u)) = T(K(x,y \ K(z,u)),z). [hyper(66,a,6562,a(flip),b,9331,a),flip(a)]. 9551 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(66,a,5002,a(flip),b,9348,a)]. 9552 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(16(a,1),9551(a,1,1,1,2)),flip(a)]. 9553 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6385(a,2),9388(a,2,2,2)),flip(a)]. 9554 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(8227,a,9406,a)]. 9555 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(7953,a,9554,a)]. 9556 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(7940(a,1),9555(a,2,1))]. 9558 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(9436(a,2),7411(a,1))]. 9559 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(285,a,7884,a(flip),b,9463,a),flip(a)]. 9560 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(37,a,9149,a,b,9506,a)]. 9562 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9506(a,1),8141(a,2,1))]. 9563 K((K(x,(y / L(z,u,w)) \ 1) * L(z,u,w)) / y,z) = K((x * (1 / (y / L(z,u,w)))) / x,z). [para(5696(a,1),9514(a,2,1))]. 9564 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1614(a,2),9516(a,1,2))]. 9565 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(285,a,32,a,b,9521,a),flip(a)]. 9566 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(27(a,2),9523(a,1,2,2)),flip(a)]. 9567 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7563,a,9527,a)]. 9568 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9567,a)]. 9569 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9567,a)]. 9570 K((L(x,y,z) \ u) \ w,x) = K(u \ (L(x,y,z) * w),x). [hyper(66,a,6663,a(flip),b,9567,a),flip(a)]. 9571 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(124,a,9567,a(flip),b,104,a),flip(a)]. 9572 K((L(x,y,z) \ 1) \ u,x) = K(L(x,y,z) * u,x). [para(452(a,1),9569(a,1,1)),flip(a)]. 9573 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4206(a,1),9569(a,1,1))]. 9575 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(9552(a,1),8605(a,1,2,1))]. 9576 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(9552(a,1),8700(a,1,2,2))]. 9577 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(14(a,1),9576(a,1,2,2,1,1))]. 9578 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(122,a,9565,a(flip),b,5529,a),flip(a)]. 9579 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9565(a,1),9094(a,1,1,2)),flip(a)]. 9580 K((L(x,y,z) \ x) \ u,x) = K(L(x,y,z) * (x \ u),x). [para(1240(a,1),9570(a,2,1))]. 9581 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(285,a,9445,a(flip),b,9135,a),flip(a)]. 9582 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(285,a,6596,a(flip),b,9135,a),flip(a)]. 9584 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(9582(a,2),6542(a,1))]. 9586 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9250,a,6644,a)]. 9587 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(66,a,8088,a(flip),b,9586,a),flip(a)]. 9588 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(66,a,8014,a(flip),b,9587,a)]. 9589 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(66,a,9476,a,b,9588,a)]. 9590 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(15(a,1),9588(a,1,2,1)),flip(a)]. 9591 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(66,a,9479,a,b,9589,a)]. 9592 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(66,a,8131,a,b,9590,a)]. 9593 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(16(a,1),9592(a,1,2,2))]. 9594 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(66,a,8075,a,b,9593,a)]. 9595 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [hyper(124,a,9593,a(flip),b,5125,a(flip))]. 9596 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(9593(a,1),7399(a,1,1,2))]. 9597 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [hyper(8426,a,9594,a)]. 9598 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5180,a,9595,a),flip(a)]. 9599 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(285,a,8675,a(flip),b,9598,a),flip(a)]. 9600 T(x,(x * y) / (x * z)) = T(x,y / z). [para(14(a,1),9599(a,1,2,1)),flip(a)]. 9601 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(15(a,1),9600(a,1,2,2))]. 9602 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(66,a,9482,a,b,9601,a)]. 9603 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7411,a,9596,a),flip(a)]. 9605 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9268(a,1),5562(a,1,1,2))]. 9606 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(8136(a,1),9268(a,2,1))]. 9607 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(285,a,4999,a(flip),b,9303,a),flip(a)]. 9608 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9369(a,1),7860(a,1,1)),flip(a)]. 9610 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [hyper(285,a,7024,a(flip),b,9497,a),flip(a)]. 9611 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(9610(a,1),7531(a,1,1,2)),flip(a)]. 9612 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [hyper(285,a,7531,a(flip),b,9611,a),flip(a)]. 9613 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(5294(a,1),9612(a,1,3)),flip(a)]. 9614 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(8080(a,1),9612(a,1,3)),flip(a)]. 9615 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4932(a,2),9613(a,1,3))]. 9616 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(9614(a,1),1191(a,1,1,1)),flip(a)]. 9617 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(9584,a,9581,a),flip(a)]. 9619 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(15(a,1),9617(a,1,2,2))]. 9620 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(15(a,1),9619(a,1,2,1,2))]. 9621 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(285,a,6592,a(flip),b,9620,a),flip(a)]. 9622 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(14(a,1),9621(a,1,2,1,1))]. 9623 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(66,a,9445,a,b,9622,a)]. 9624 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(15(a,1),9623(a,1,2,1)),flip(a)]. 9625 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(9624(a,1),5918(a,1,2,1,1))]. 9626 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(15(a,1),9607(a,1,2,2)),flip(a)]. 9627 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(285,a,5805,a(flip),b,9062,a),flip(a)]. 9628 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(452(a,1),9627(a,1,1)),flip(a)]. 9629 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(66,a,6691,a(flip),b,9628,a),flip(a)]. 9631 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(9063(a,2),7487(a,1))]. 9632 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(66,a,8354,a(flip),b,9136,a)]. 9633 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(66,a,7934,a(flip),b,9632,a),flip(a)]. 9634 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(66,a,8938,a,b,9284,a)]. 9635 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(285,a,417,a(flip),b,9323,a),flip(a)]. 9636 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(9327(a,1),7436(a,1,1)),flip(a)]. 9637 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(285,a,7437,a(flip),b,9636,a),flip(a)]. 9638 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(285,a,7153,a(flip),b,9637,a),flip(a)]. 9639 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(285,a,6392,a(flip),b,9356,a),flip(a)]. 9640 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(285,a,7802,a,b,9639,a),flip(a)]. 9641 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(14(a,1),9640(a,2,2))]. 9642 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(66,a,8758,a(flip),b,9357,a)]. 9644 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9642(a,1),8428(a,1))]. 9645 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(37,a,9416,a,b,9370,a(flip))]. 9647 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(15(a,1),9645(a,1,2,1)),flip(a)]. 9648 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9645(a,1),7399(a,1,1,2)),flip(a)]. 9649 K(x,(x * (y \ z)) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,9103,a,b,9647,a)]. 9650 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(90(a,1),9647(a,1,2,2)),flip(a)]. 9651 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(9647(a,1),5977(a,1,1)),flip(a)]. 9652 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(7304(a,1),9647(a,1,2,1)),flip(a)]. 9653 K(x,L(x * (y \ z),x \ 1,u) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,7584,a,b,9649,a)]. 9654 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(285,a,7399,a(flip),b,9648,a),flip(a)]. 9655 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(15(a,1),9654(a,1,1,1)),flip(a)]. 9656 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),9654(a,1,1,1))]. 9657 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,9050,a,b,9655,a)]. 9658 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9655(a,1),5302(a,2,2,2)),flip(a)]. 9659 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,6986,a,b,9657,a)]. 9661 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(9650(a,2),5766(a,1))]. 9662 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5304,a,9658,a),flip(a)]. 9663 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,9133,a,b,9662,a)]. 9664 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,7586,a,b,9663,a)]. 9665 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(66,a,8015,a(flip),b,9401,a)]. 9666 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(66,a,8832,a(flip),b,9665,a),flip(a)]. 9667 K((x * (y * T(z,u))) / w,T(z,v5)) = K((x * (y * z)) / w,T(z,v5)). [para(6322(a,1),9486(a,1,1,1,2))]. 9668 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(285,a,8136,a(flip),b,9566,a),flip(a)]. 9669 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(66,a,8866,a(flip),b,9668,a)]. 9671 K(x,K(y \ x,y) * z) = K(x,z). [hyper(66,a,5336,a(flip),b,9669,a),flip(a)]. 9673 K(x * y,K(y,x) * z) = K(x * y,z). [para(14(a,1),9671(a,1,2,1,1))]. 9674 K(x,K(y,y \ x) * z) = K(x,z). [para(5360(a,1),9671(a,1,2)),flip(a)]. 9675 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5737(a,1),9671(a,1,2))]. 9676 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5749(a,1),9671(a,1,2)),flip(a)]. 9677 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(9671(a,1),7460(a,1,1,2))]. 9678 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9674(a,1),5146(a,1,1))]. 9679 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9673(a,1),5150(a,1,1,2))]. 9680 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(87(a,1),9675(a,1,2,1)),flip(a)]. 9681 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9679(a,1),6315(a,1,2)),flip(a)]. 9682 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(604(a,1),9629(a,1,2)),flip(a)]. 9683 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5775,a,9678,a)]. 9684 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4141,a,9683,a)]. 9685 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(9684(a,1),218(a,1,2,2)),flip(a)]. 9686 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(9233(a,1),8206(a,1,2)),flip(a)]. 9688 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9365(a,1),647(a,1))]. 9689 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(66,a,4413,a(flip),b,9420,a),flip(a)]. 9690 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(8049,a,9689,a)]. 9692 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(9690(a,1),5649(a,1,1,2))]. 9693 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9690(a,1),7399(a,1,1,2))]. 9694 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(7411,a,9693,a)]. 9695 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5785(a,2),9507(a,2,1,2))]. 9696 K(x,y \ (z * (x \ 1))) = K(x,y \ (x \ z)). [hyper(66,a,9653,a(flip),b,9524,a),flip(a)]. 9698 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9560(a,1),441(a,1,2,2))]. 9699 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,9158,a)]. 9700 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(9189(a,1),2181(a,2,2))]. 9701 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6528(a,1),9209(a,1,1))]. 9702 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5150(a,1),9294(a,1,1)),flip(a)]. 9703 R(x,y,x * K(z,x)) = R(x,y,x). [para(5150(a,1),9702(a,1,3)),flip(a)]. 9704 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5193(a,1),9703(a,1,3))]. 9705 (x * (((y * x) / y) \ z)) / x = ((y * x) / y) \ (x * (z / x)). [hyper(66,a,8256,a(flip),b,9340,a)]. 9706 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5545(a,1),9364(a,1,2)),flip(a)]. 9707 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8015(a,1),9411(a,1,2,2)),flip(a)]. 9708 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(123,a,9501,a(flip),b,9419,a(flip))]. 9709 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(66,a,7541,a,b,9708,a)]. 9711 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9107(a,2),9474(a,1,1,2))]. 9712 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(285,a,4161,a(flip),b,9487,a),flip(a)]. 9713 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(285,a,4160,a(flip),b,9488,a),flip(a)]. 9714 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(14(a,1),9713(a,1,1,2,1)),flip(a)]. 9715 K(1 / x,L((1 / x) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(285,a,5978,a(flip),b,9525,a),flip(a)]. 9716 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(9302(a,1),9562(a,1,1))]. 9717 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(14(a,1),9641(a,1,2))]. 9718 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(66,a,8892,a(flip),b,9717,a)]. 9720 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(285,a,9647,a(flip),b,9652,a),flip(a)]. 9721 K((x * (T(y,z) * u)) / w,T(y,z)) = K((x * (u * y)) / w,T(y,z)). [hyper(66,a,9484,a(flip),b,9667,a)]. 9722 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(66,a,9428,a(flip),b,9711,a),flip(a)]. 9724 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(66,a,8857,a(flip),b,9722,a),flip(a)]. 9727 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,7264,a(flip),b,9715,a)]. 9728 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(5766,a,9727,a)]. 9729 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4586(a,1),9361(a,1,2))]. 9730 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(135,a,9729,a)]. 9731 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(9729(a,1),4182(a,1,2)),flip(a)]. 9732 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1152(a,1),9730(a,1,1,2))]. 9733 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(285,a,9373,a,b,9732,a),flip(a)]. 9734 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4011,a,9733,a)]. 9735 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(66,a,9731,a,b,9734,a)]. 9737 T(x,y * R(x,z,x)) = T(x,x * y). [para(16(a,1),9735(a,1,2,2)),flip(a)]. 9738 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(285,a,5130,a(flip),b,9737,a),flip(a)]. 9739 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5207,a,9738,a)]. 9740 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(66,a,8222,a,b,9739,a)]. 9741 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(9142,a,9740,a)]. 9743 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9448(a,1),5473(a,1))]. 9744 R(K(x,y / (z / u)),y,u) = K(x,((K(x,w) * y) * u) / z). [hyper(66,a,8996,a(flip),b,9478,a)]. 9746 K(x,((K(x,y) * z) * u) / w) = K(x,(z * u) / w). [hyper(66,a,6102,a(flip),b,9744,a),flip(a)]. 9747 K(x,(((y / x) \ z) * u) / w) = K(x,(((x \ y) \ z) * u) / w). [para(5854(a,1),9746(a,1,2,1,1)),flip(a)]. 9748 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [hyper(7842,a,9747,a),flip(a)]. 9749 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(285,a,7882,a(flip),b,9608,a),flip(a)]. 9750 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(66,a,7884,a,b,9749,a)]. 9751 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7713(a,1,2,1))]. 9752 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(6627(a,1),7843(a,2,2))]. 9753 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [hyper(285,a,7682,a(flip),b,9752,a),flip(a)]. 9754 K(x,T(y * x,x \ 1) \ (x * z)) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [hyper(66,a,9104,a(flip),b,8164,a)]. 9755 (((x * y) / x) \ (y * (z / y))) \ 1 = (((x * y) / x) \ z) \ K(y \ z,y). [para(9705(a,1),8260(a,2,1)),flip(a)]. 9757 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(285,a,5816,a(flip),b,8371,a),flip(a)]. 9758 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(285,a,6840,a(flip),b,9757,a),flip(a)]. 9759 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(66,a,6468,a(flip),b,9758,a)]. 9760 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(285,a,6392,a(flip),b,9759,a),flip(a)]. 9761 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(27(a,2),9760(a,2,2))]. 9762 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(x \ 1,y),z)) * x. [para(3339(a,1),8418(a,2,1,2,1))]. 9763 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(6126(a,1),8446(a,1,2))]. 9764 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(7539,a,8638,a),flip(a)]. 9767 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(8755(a,1),8105(a,1,2))]. 9768 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(285,a,8780,a(flip),b,8783,a),flip(a)]. 9769 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(90(a,1),9768(a,1,2,1,1)),flip(a)]. 9770 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(118(a,1),9768(a,1,2)),flip(a)]. 9771 K(x,T((y * K(z,u)) \ 1,w)) = K(x,T(K(u,z) / y,w)). [para(7399(a,1),9768(a,1,2,1,1)),flip(a)]. 9772 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(66,a,8906,a(flip),b,9770,a),flip(a)]. 9773 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(9770(a,1),7682(a,1,2))]. 9774 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(66,a,9770,a(flip),b,9769,a)]. 9775 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(285,a,5699,a,b,9773,a)]. 9776 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(90(a,1),9773(a,1,2,2,2)),flip(a)]. 9777 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(38,a,8120,a,b,9776,a),flip(a)]. 9780 K(x,T(T(y * K(z,u),w) \ 1,v5)) = T(K(x,T(K(u,z) / y,v5)),w). [para(9771(a,1),8712(a,2,1))]. 9781 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6564,a,9775,a)]. 9782 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(9781(a,1),8052(a,1,1,2))]. 9783 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8054,a,9782,a),flip(a)]. 9784 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4105(a,1),8835(a,1,1))]. 9785 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(285,a,8701,a(flip),b,9784,a),flip(a)]. 9786 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u * (x / y))). [hyper(8547,a,8976,a)]. 9787 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(285,a,9261,a(flip),b,9255,a),flip(a)]. 9789 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9345(a,1,1,2))]. 9790 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9789(a,2),7531(a,1,1))]. 9791 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(285,a,5724,a(flip),b,9377,a),flip(a)]. 9792 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(994(a,1),9791(a,1,2,2)),flip(a)]. 9793 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(8051(a,1),9791(a,1,2,2))]. 9794 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(7395(a,1),9793(a,1,2,2)),flip(a)]. 9795 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(285,a,8831,a(flip),b,9794,a),flip(a)]. 9796 K(T(x,y),z \ (T(x,y) \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9696,a(flip),b,9795,a)]. 9797 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9792,a(flip),b,9796,a)]. 9799 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,9797,a),flip(a)]. 9800 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(66,a,7206,a(flip),b,9799,a),flip(a)]. 9801 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(355(a,1),9800(a,1,2,2))]. 9802 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(14(a,1),9712(a,1,1,2,1))]. 9803 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(14(a,1),9714(a,1,1,2,1)),flip(a)]. 9804 (((x * y) / x) \ z) \ K(y \ z,y) = (T(y,x) * (y \ (z / y))) \ 1. [para(4292(a,1),9755(a,1,1)),flip(a)]. 9805 (((x * y) / x) \ z) \ K(y \ z,y) = (K(y,x) * (z / y)) \ 1. [para(5153(a,1),9804(a,2,1))]. 9806 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ K(T(x,z) \ 1,y)) * x. [para(6080(a,2),9762(a,2,1,2))]. 9807 (1 / x) \ T(T(x \ 1,y),K(y,z)) = (x \ K(T(x,z) \ 1,y)) * x. [para(421(a,1),9806(a,1,2))]. 9809 (x \ K(T(x,y) \ 1,z)) * x != u | T(T(x \ 1,z),K(z,y)) * x = u. [para(9807(a,1),6790(a,1))]. 9810 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4154(a,1),7668(a,2,1,2))]. 9811 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,9810,a),flip(a)]. 9812 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(66,a,7741,a(flip),b,7739,a)]. 9813 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,9699,a(flip),b,9812,a),flip(a)]. 9815 K((L(x,y,z) * u) / w,T(x,u)) = K(w \ (L(x,y,z) * u),x). [hyper(66,a,7694,a(flip),b,9813,a),flip(a)]. 9816 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(66,a,5319,a(flip),b,9813,a),flip(a)]. 9817 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9813(a,1,2,2)),flip(a)]. 9818 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9813(a,1),7707(a,1,2,2)),flip(a)]. 9819 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(186(a,1),9817(a,2,2))]. 9820 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7823,a,9816,a)]. 9821 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9820(a,1),8849(a,1,2))]. 9822 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,8271,a),flip(a)]. 9823 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(66,a,7832,a(flip),b,8272,a)]. 9825 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9823,a),flip(a)]. 9826 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8283(a,1),9825(a,1,2))]. 9827 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(285,a,5805,a(flip),b,8296,a),flip(a)]. 9828 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5360(a,1),9827(a,1,1)),flip(a)]. 9829 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5360(a,1),9828(a,1,1)),flip(a)]. 9830 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5973(a,1),9828(a,1,1,1))]. 9831 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [hyper(124,a,9829,a(flip),b,5125,a(flip))]. 9832 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6375,a,9831,a),flip(a)]. 9833 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(9832(a,2),7436(a,1,1))]. 9834 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(15(a,1),9833(a,1,1,1)),flip(a)]. 9835 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(285,a,5119,a,b,9834,a),flip(a)]. 9836 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8006(a,1),9835(a,1,2))]. 9837 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7392(a,1),9836(a,1,2)),flip(a)]. 9838 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9837(a,1),8648(a,1,1,2))]. 9839 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7943(a,1),8388(a,1,1,3))]. 9840 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5334(a,1),9839(a,2,2))]. 9841 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5599(a,1),8519(a,1,2)),flip(a)]. 9842 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(285,a,8028,a(flip),b,9841,a),flip(a)]. 9843 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(32(a,2),9842(a,2,1))]. 9844 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(9082,a,9843,a)]. 9846 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(66,a,8550,a(flip),b,9844,a),flip(a)]. 9847 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(66,a,8746,a(flip),b,9846,a)]. 9848 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(66,a,5329,a,b,9847,a)]. 9850 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,9031,a(flip),b,8697,a),flip(a)]. 9852 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,8696,a(flip),b,9850,a)]. 9854 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),9852(a,1,2,2)),flip(a)]. 9855 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(9852(a,1),7399(a,1,1,2)),flip(a)]. 9856 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(545(a,1),9854(a,1,2)),flip(a)]. 9857 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(285,a,7399,a(flip),b,9855,a),flip(a)]. 9858 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5143(a,1),9857(a,1,1,2)),flip(a)]. 9859 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(9858(a,1),5722(a,1,2,1,2)),flip(a)]. 9860 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(285,a,5722,a(flip),b,9859,a),flip(a)]. 9862 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8010,a(flip),b,8834,a),flip(a)]. 9864 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(6570(a,1),8871(a,1,1,2))]. 9865 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(5125(a,2),9864(a,1,1)),flip(a)]. 9866 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(6691(a,1),9865(a,1,1))]. 9867 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) = K(L(y,z,u) * (x \ 1),y). [hyper(285,a,3246,a(flip),b,9866,a),flip(a)]. 9868 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(285,a,6081,a(flip),b,8916,a),flip(a)]. 9869 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(66,a,9195,a(flip),b,9868,a),flip(a)]. 9871 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6322(a,1),9869(a,1,2))]. 9872 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7392(a,1),9869(a,1,2)),flip(a)]. 9873 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7702(a,1),9869(a,1,2)),flip(a)]. 9874 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(271(a,1),9872(a,1,2))]. 9875 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5981(a,1),9872(a,1,2,2))]. 9876 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(66,a,8392,a(flip),b,9874,a)]. 9877 T(K(x,y \ (x \ z)),z) = T(K(x,y \ (x \ z)),y). [hyper(66,a,8065,a(flip),b,9876,a),flip(a)]. 9878 T(K(x,y),x) != z | K(x,y) = z. [para(9876(a,1),192(a,1))]. 9879 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9876(a,1),8360(a,1,1))]. 9881 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2746(a,1),9878(a,1))]. 9884 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(5836(a,2),9881(a,1))]. 9885 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(7674(a,2),9881(a,1,1))]. 9887 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(285,a,8393,a(flip),b,9871,a),flip(a)]. 9888 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(9887(a,1),7324(a,1,2)),flip(a)]. 9889 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(285,a,5344,a(flip),b,9888,a),flip(a)]. 9890 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [hyper(124,a,9889,a(flip),b,27,a(flip))]. 9891 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(103(a,1),9875(a,1,2))]. 9893 T(K(x,L(x \ y,x,z)),z) = T(K(x,z \ (x \ (z * y))),z * y). [para(9453(a,2),9877(a,2,1)),flip(a)]. 9894 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(9891(a,1),8495(a,1,1)),flip(a)]. 9895 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7681(a,2),9894(a,2,1))]. 9897 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7756(a,1),9895(a,1,2,2)),flip(a)]. 9898 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(9122(a,2),9895(a,1,2,2)),flip(a)]. 9899 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(7493,a,9890,a),flip(a)]. 9900 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5518(a,2),9899(a,1,2))]. 9901 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(66,a,8868,a(flip),b,9900,a)]. 9902 T(K(x,y \ (x \ (y * z))),y * z) = K(x,L(T(x \ z,y),x,y)). [hyper(66,a,7705,a,b,9893,a),flip(a)]. 9903 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(8930,a,9897,a)]. 9904 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(285,a,6259,a,b,9903,a),flip(a)]. 9905 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(66,a,6219,a(flip),b,9904,a),flip(a)]. 9906 K(x,T(y \ (x \ (y * z)),y * z)) = K(x,L(T(x \ z,y),x,y)). [hyper(8428,a,9902,a)]. 9907 K(x,L(T(x \ y,z),x,z)) = K(x,(z * y) / (z * x)). [hyper(66,a,9597,a(flip),b,9906,a),flip(a)]. 9908 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(285,a,5320,a(flip),b,8927,a),flip(a)]. 9909 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(6133(a,1),9908(a,1,1))]. 9910 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(7761(a,1),9909(a,1,1,1,1))]. 9911 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(13(a,1),9910(a,1,1))]. 9912 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(66,a,32,a,b,9911,a)]. 9913 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(66,a,8053,a(flip),b,9912,a),flip(a)]. 9914 R(K(x,T(T(y,z),z * u)),z,u) = K(x,((z / y) * u) \ (z * u)). [para(7681(a,2),9912(a,1,1))]. 9915 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(66,a,8786,a(flip),b,9914,a)]. 9916 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(285,a,9913,a(flip),b,9915,a),flip(a)]. 9917 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8216(a,1),8935(a,1,1,2))]. 9918 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9917,a),flip(a)]. 9920 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(9918(a,1),6960(a,2,2,2,1,1))]. 9921 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(285,a,153,a(flip),b,8944,a),flip(a)]. 9922 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(285,a,5169,a,b,9921,a),flip(a)]. 9924 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(285,a,7881,a,b,9922,a),flip(a)]. 9925 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(66,a,5803,a(flip),b,9350,a),flip(a)]. 9926 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(285,a,4131,a(flip),b,9390,a),flip(a)]. 9927 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(116(a,1),9606(a,1,1,2,2,1))]. 9928 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(285,a,8725,a(flip),b,9927,a),flip(a)]. 9929 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(285,a,7995,a(flip),b,7737,a),flip(a)]. 9930 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(285,a,5704,a(flip),b,9929,a),flip(a)]. 9932 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(285,a,4596,a(flip),b,9930,a),flip(a)]. 9933 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4318(a,1),9932(a,1,2))]. 9934 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(124,a,14,a(flip),b,7850,a)]. 9935 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9934(a,1),6879(a,1,2))]. 9936 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),8033(a,1,2,2,1))]. 9938 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [hyper(66,a,8015,a(flip),b,8096,a)]. 9939 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(125,a,8471,a),flip(a)]. 9940 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4830(a,1),9939(a,1,1)),flip(a)]. 9941 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,6194,a,b,9940,a)]. 9942 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(32(a,2),8545(a,1,2,2,2,1))]. 9943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(285,a,5804,a(flip),b,8586,a),flip(a)]. 9944 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(285,a,8602,a(flip),b,8603,a),flip(a)]. 9946 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(87(a,1),9944(a,1,1,2,1,2,1))]. 9948 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8713,a(flip),b,9946,a)]. 9949 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8251,a(flip),b,9948,a)]. 9950 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(285,a,8523,a(flip),b,8762,a),flip(a)]. 9951 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(597(a,1),9950(a,1,2,1,1)),flip(a)]. 9952 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5076(a,1),9951(a,1,2,1)),flip(a)]. 9953 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7681(a,2),9952(a,2,2))]. 9955 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(285,a,8780,a(flip),b,8785,a),flip(a)]. 9956 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(5130(a,2),9955(a,1,2,1,2))]. 9957 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(7687(a,1),9955(a,1,2,1,2,2))]. 9958 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(8650(a,1),9956(a,1,2,1))]. 9959 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(66,a,9957,a(flip),b,9958,a),flip(a)]. 9961 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(5073(a,2),9959(a,1,2,1,1))]. 9962 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [hyper(285,a,8752,a(flip),b,9961,a),flip(a)]. 9963 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(66,a,8906,a(flip),b,8909,a),flip(a)]. 9964 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8199(a,1),9148(a,1,1,1,2)),flip(a)]. 9965 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1770(a,1),9964(a,2,1))]. 9966 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(285,a,8027,a(flip),b,9965,a),flip(a)]. 9967 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(7940(a,1),9215(a,2,1))]. 9968 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(8781,a,9308,a),flip(a)]. 9969 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(280(a,2),9968(a,1,2,1,2)),flip(a)]. 9970 K(x * (y \ 1),T(y \ 1,z)) = K(y \ x,T(y \ 1,z)). [hyper(6059,a,9380,a),flip(a)]. 9971 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6121,a,9970,a)]. 9972 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(285,a,8906,a(flip),b,9971,a),flip(a)]. 9973 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(66,a,8906,a(flip),b,9972,a)]. 9974 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(66,a,9963,a(flip),b,9973,a)]. 9975 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(285,a,8038,a(flip),b,9974,a),flip(a)]. 9976 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(66,a,8038,a(flip),b,9975,a)]. 9977 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(66,a,8552,a,b,9976,a)]. 9978 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(285,a,8780,a(flip),b,9433,a),flip(a)]. 9979 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8080(a,1),9978(a,1,2,1,1)),flip(a)]. 9980 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(4202(a,1),9505(a,1,2))]. 9981 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(285,a,8264,a(flip),b,9980,a),flip(a)]. 9984 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(285,a,5785,a,b,9981,a),flip(a)]. 9985 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(223(a,1),9579(a,2,1))]. 9986 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(66,a,9564,a(flip),b,9985,a),flip(a)]. 9987 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7908(a,1),9677(a,1,1,1))]. 9988 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7682(a,1),9818(a,2,2))]. 9989 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9567(a,1),9988(a,1,1)),flip(a)]. 9990 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(285,a,152,a(flip),b,9989,a),flip(a)]. 9991 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5361(a,1),9989(a,1,2)),flip(a)]. 9993 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9990(a,1),1320(a,1,1,2,1))]. 9994 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(66,a,9529,a(flip),b,9991,a)]. 9995 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7953,a,9994,a)]. 9996 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(285,a,7914,a,b,9995,a)]. 9997 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(37,a,7862,a,b,9996,a)]. 9998 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(285,a,7881,a,b,9997,a),flip(a)]. 9999 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(14(a,1),9942(a,1,2))]. 10001 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(17(a,1),9967(a,1,2)),flip(a)]. 10002 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(66,a,9556,a,b,10001,a)]. 10004 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(6537(a,1),10002(a,1,1))]. 10005 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7936(a,1),9987(a,1,1,1))]. 10006 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(7900(a,1),10005(a,1,1))]. 10007 K(T(x,y),z) * (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [hyper(5464,a,10006,a)]. 10008 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [para(7761(a,1),10007(a,1,1))]. 10009 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(5666,a,10008,a)]. 10010 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(66,a,8964,a(flip),b,10009,a),flip(a)]. 10011 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5322(a,1),10010(a,2,1))]. 10012 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5322(a,1),10011(a,1,1,1))]. 10013 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6270,a,10012,a),flip(a)]. 10014 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(10013(a,2),215(a,1,2,2))]. 10015 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7761(a,1),8055(a,2,1,2))]. 10016 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(17(a,1),8623(a,1,2))]. 10017 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(66,a,9000,a(flip),b,10016,a)]. 10018 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(32(a,2),8723(a,1,1,2))]. 10019 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5817(a,1),8769(a,1,1)),flip(a)]. 10020 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(14(a,1),10019(a,2,1,1,2,1))]. 10021 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(8768(a,1),10020(a,1,1)),flip(a)]. 10022 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(285,a,9720,a(flip),b,9458,a),flip(a)]. 10023 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5905,a,9686,a),flip(a)]. 10024 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10023(a,1),4174(a,1,2))]. 10026 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10024(a,1),7479(a,1))]. 10027 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8880(a,1),10015(a,2,1))]. 10028 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(285,a,9840,a(flip),b,10027,a),flip(a)]. 10029 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7761(a,1),10028(a,1,1,2))]. 10030 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7997(a,1),10029(a,1,2))]. 10031 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8815(a,2),10030(a,1,1))]. 10032 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(9979(a,1),10017(a,1,1))]. 10033 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(66,a,10016,a(flip),b,10032,a),flip(a)]. 10035 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7940(a,1),10018(a,1,2))]. 10036 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3207(a,1),10035(a,1,2))]. 10038 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10036(a,1),5720(a,1,1,2))]. 10039 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5595(a,1),10038(a,1,1))]. 10040 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(66,a,6925,a(flip),b,10039,a),flip(a)]. 10041 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(8782(a,1),8341(a,1,1))]. 10042 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(66,a,8339,a(flip),b,10041,a),flip(a)]. 10043 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8028(a,1),10042(a,1,1))]. 10044 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5149(a,2),10043(a,1,2,1))]. 10045 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7718(a,2),10044(a,2,1,2)),flip(a)]. 10046 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(285,a,5794,a(flip),b,10045,a),flip(a)]. 10047 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(8407(a,1),10046(a,2,2))]. 10048 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7700(a,1),10047(a,1,1,2,2))]. 10049 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(8771(a,1),10048(a,1,1))]. 10050 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6333,a,10049,a),flip(a)]. 10051 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(66,a,7835,a,b,10050,a)]. 10052 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(224,a,6311,a,b,10051,a)]. 10053 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(7994(a,1),10052(a,1,1,2)),flip(a)]. 10054 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(8013(a,1),10052(a,1,1,2)),flip(a)]. 10055 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(66,a,8409,a(flip),b,10053,a),flip(a)]. 10056 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(66,a,9127,a(flip),b,10054,a),flip(a)]. 10057 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(66,a,10053,a,b,10056,a)]. 10058 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(10057(a,1),8772(a,1,2)),flip(a)]. 10059 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(285,a,8770,a(flip),b,10058,a),flip(a)]. 10060 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3978(a,1),10059(a,1,2))]. 10061 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(66,a,9130,a,b,10060,a)]. 10062 T(K(x \ T(y,z),u),T(y,x)) = T(K(x \ T(y,z),u),y). [hyper(66,a,9447,a(flip),b,10060,a),flip(a)]. 10063 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(285,a,8406,a,b,10061,a)]. 10064 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(285,a,5130,a(flip),b,10061,a),flip(a)]. 10065 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(66,a,8562,a(flip),b,10061,a),flip(a)]. 10066 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6592(a,1),10061(a,1,2))]. 10067 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5207,a,10064,a)]. 10068 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(10064(a,2),5180(a,1))]. 10069 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z)). [hyper(66,a,8767,a,b,10067,a)]. 10070 K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u)). [hyper(66,a,9386,a(flip),b,10067,a)]. 10071 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(66,a,8247,a(flip),b,10067,a)]. 10072 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(66,a,8246,a(flip),b,10067,a)]. 10073 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,u),z)). [para(28(a,1),10067(a,1,2))]. 10074 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6592(a,1),10067(a,1,2))]. 10075 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(6600(a,1),10067(a,1,2)),flip(a)]. 10076 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(10067(a,1),7682(a,1,2))]. 10077 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(198(a,1),10065(a,1,2)),flip(a)]. 10078 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(168(a,1),10071(a,1,2)),flip(a)]. 10079 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(168(a,1),10071(a,2,2))]. 10080 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(169(a,1),10071(a,1,2)),flip(a)]. 10081 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(8434,a,10074,a),flip(a)]. 10082 K(x,T(y,z \ L(y,u,w))) = K(x,T(y,z)). [hyper(285,a,9817,a(flip),b,10074,a),flip(a)]. 10083 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(10074(a,1),8434(a,1))]. 10084 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(285,a,10074,a,b,10081,a),flip(a)]. 10085 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(66,a,7694,a(flip),b,10081,a),flip(a)]. 10086 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(14(a,1),10081(a,1,2,2))]. 10087 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(10081(a,1),8111(a,1,1,2))]. 10090 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10063(a,2),10068(a,1))]. 10092 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(28(a,1),10090(a,1))]. 10093 T(x \ y,K(x,z)) != u | T(y / x,T(x,z)) = u. [para(118(a,1),10090(a,1,1))]. 10095 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,z),u)). [para(28(a,1),10073(a,2,2))]. 10096 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(7681(a,1),10076(a,1,2))]. 10097 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9624(a,1),10084(a,1,2))]. 10098 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(10084(a,1),10083(a,1))]. 10099 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(32(a,2),10085(a,1,2))]. 10100 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(225,a,10096,a)]. 10102 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(37,a,6079,a,b,10096,a)]. 10103 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(285,a,7872,a,b,10100,a)]. 10104 T(K(x,y),z \ K(u,w)) = T(K(x,y),K(w,u) * z). [hyper(66,a,6600,a(flip),b,10100,a),flip(a)]. 10105 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(10100(a,1),3032(a,1,2))]. 10106 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(10100(a,2),7757(a,1))]. 10107 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6594(a,2),10106(a,1))]. 10108 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8001(a,1),10107(a,1))]. 10109 K(x,T(y,(z * (u * y)) \ (z * u))) = K(x,T(y,a(z,u,y))). [para(19(a,2),10097(a,1,2,2)),flip(a)]. 10110 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9443(a,1),10097(a,1,2)),flip(a)]. 10111 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(285,a,6080,a,b,10102,a),flip(a)]. 10112 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(37,a,7872,a,b,10103,a)]. 10113 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(10103(a,1),7873(a,1))]. 10114 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(285,a,7908,a,b,10112,a),flip(a)]. 10115 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(66,a,8656,a,b,10112,a)]. 10116 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(66,a,7908,a,b,10112,a)]. 10117 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(66,a,7921,a(flip),b,10112,a)]. 10118 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5704(a,2),10112(a,1,2))]. 10119 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5708(a,1),10112(a,1,2))]. 10120 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6392(a,1),10112(a,1,2))]. 10121 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6416(a,1),10112(a,1,2))]. 10122 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10114,a)]. 10123 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(66,a,7884,a(flip),b,10114,a)]. 10124 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6392(a,1),10114(a,1,2)),flip(a)]. 10125 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(10114(a,1),8774(a,1,1,1)),flip(a)]. 10126 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(285,a,7884,a(flip),b,10116,a),flip(a)]. 10127 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(66,a,7885,a,b,10116,a)]. 10128 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5967(a,2),10122(a,1,2))]. 10129 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10123,a),flip(a)]. 10130 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(10118(a,1),7957(a,1,1))]. 10131 K(x,K(y,z \ T(y,u))) = K(x,K(y,z)). [hyper(285,a,8196,a(flip),b,10120,a),flip(a)]. 10132 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7589(a,1),10124(a,1,2)),flip(a)]. 10133 K(x,K(y,z)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10131(a,1),7917(a,1,1))]. 10134 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7681(a,2),10105(a,1,2))]. 10135 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(66,a,9272,a(flip),b,10110,a),flip(a)]. 10136 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9270(a,1),10110(a,1,2)),flip(a)]. 10137 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(66,a,8383,a,b,10111,a)]. 10138 (1 / (x * y)) * K(x,y) = K(x,y) * (1 / (x * y)). [para(4193(a,1),10134(a,1,2))]. 10140 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(285,a,6120,a,b,10135,a),flip(a)]. 10142 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,7968,a,b,10136,a)]. 10144 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(66,a,6120,a,b,10140,a)]. 10145 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(14(a,1),10144(a,1,2,2)),flip(a)]. 10146 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(10072(a,2),10098(a,1))]. 10147 K(x \ 1,T(y,K(z,x) * u)) = K(x \ 1,T(y,u)). [hyper(66,a,10069,a(flip),b,10075,a),flip(a)]. 10148 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(10078(a,1),5420(a,1,2))]. 10149 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(10078(a,2),7906(a,2,1))]. 10150 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(10080(a,1),6829(a,1,2))]. 10151 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(66,a,8111,a(flip),b,10087,a),flip(a)]. 10152 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(10066(a,1),10151(a,1,2))]. 10153 T(K(x,y),T(y,z) \ K(y,u)) = K(x,y). [hyper(285,a,7714,a(flip),b,10104,a),flip(a)]. 10154 K(x,y) * (T(y,z) \ K(y,u)) = (T(y,z) \ K(y,u)) * K(x,y). [hyper(124,a,10153,a(flip),b,27,a(flip)),flip(a)]. 10155 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(10112(a,1),10115(a,1,1))]. 10156 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(66,a,8655,a(flip),b,10155,a),flip(a)]. 10157 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7884(a,1),10155(a,1,1))]. 10158 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(66,a,10155,a(flip),b,10157,a),flip(a)]. 10159 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(66,a,8653,a(flip),b,10157,a)]. 10160 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(66,a,8651,a(flip),b,10157,a)]. 10161 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7881,a,b,10158,a)]. 10162 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7042(a,1),10159(a,1,2)),flip(a)]. 10163 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7958,a(flip),b,10161,a),flip(a)]. 10164 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(10121(a,1),7889(a,1,1))]. 10165 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(10123(a,1),10127(a,1,1))]. 10166 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10129(a,1),10127(a,1,1))]. 10167 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(66,a,8742,a,b,10165,a)]. 10168 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10165,a(flip),b,10166,a)]. 10169 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(66,a,8479,a(flip),b,10166,a)]. 10170 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(285,a,7881,a,b,10168,a)]. 10171 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,10123,a(flip),b,10168,a),flip(a)]. 10172 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,7958,a(flip),b,10168,a),flip(a)]. 10173 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(285,a,7881,a,b,10169,a),flip(a)]. 10174 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(66,a,8657,a(flip),b,10169,a)]. 10175 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(10169(a,2),7888(a,1,2))]. 10176 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(268(a,1),10170(a,2,2,2))]. 10177 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [hyper(66,a,8659,a,b,10174,a)]. 10178 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6573(a,1),10128(a,2,2))]. 10179 (K(x,y) * (1 / (x * y))) * y = (1 / (x * y)) * (y * K(x,y)). [para(10138(a,1),7379(a,1,1))]. 10180 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(66,a,10173,a,b,10172,a)]. 10181 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(66,a,8499,a(flip),b,10175,a)]. 10182 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6032(a,1),10177(a,1,2))]. 10183 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6648(a,1),10182(a,1,2)),flip(a)]. 10184 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10168,a,b,10183,a)]. 10185 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(122,a,10148,a(flip),b,5522,a),flip(a)]. 10186 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(10148(a,1),4419(a,1,1)),flip(a)]. 10187 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(122,a,10150,a(flip),b,5522,a),flip(a)]. 10188 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(122,a,10150,a(flip),b,5152,a),flip(a)]. 10189 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(4904(a,1),10117(a,1,2,1)),flip(a)]. 10190 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8654(a,1),10125(a,2,1))]. 10191 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(7908(a,1),10133(a,1,1))]. 10192 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,10097,a(flip),b,10142,a),flip(a)]. 10193 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(7891,a,10164,a),flip(a)]. 10194 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(8138(a,1),10193(a,2,2))]. 10195 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(165(a,1),10194(a,1,2,2,2))]. 10196 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7953,a,10195,a)]. 10197 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6392(a,1),10195(a,1,2))]. 10198 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10195(a,1),10090(a,1))]. 10199 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(285,a,7940,a,b,10196,a),flip(a)]. 10200 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6468(a,1),10196(a,1,2))]. 10201 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [hyper(66,a,8536,a,b,10199,a)]. 10203 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8541,a,10197,a),flip(a)]. 10204 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8537,a,10197,a),flip(a)]. 10205 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [hyper(285,a,8658,a(flip),b,10197,a),flip(a)]. 10206 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(10203(a,1),5178(a,1,2,1))]. 10207 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(10203(a,1),7945(a,1,1))]. 10208 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(122,a,10204,a(flip),b,7401,a)]. 10209 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(285,a,8226,a(flip),b,10200,a),flip(a)]. 10210 T((x / y) \ 1,K(z,x \ y)) = (x / y) \ 1. [hyper(66,a,7746,a(flip),b,10200,a),flip(a)]. 10211 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(10200(a,2),7953(a,1))]. 10212 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(66,a,10055,a,b,10209,a)]. 10213 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10212(a,1),5240(a,1,1))]. 10214 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(8152(a,1),10213(a,1,1))]. 10215 T((x / y) \ 1,z / (x \ y)) = T((x / y) \ 1,(x \ y) \ z). [para(10210(a,1),10213(a,1,1))]. 10216 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [hyper(66,a,10201,a(flip),b,10205,a),flip(a)]. 10217 x \ T(y * x,K(y,z)) = T(T(y,K(x,z)),x). [para(10216(a,1),4927(a,1,1)),flip(a)]. 10219 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(10217(a,2),10092(a,1))]. 10220 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(285,a,8041,a(flip),b,10207,a),flip(a)]. 10221 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7286(a,1),10208(a,1,1,1,1))]. 10222 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(8315,a,10220,a)]. 10223 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7884(a,1),10222(a,1,1))]. 10224 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7879(a,1),10223(a,1,1))]. 10225 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(66,a,8886,a(flip),b,10167,a)]. 10226 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(285,a,5190,a,b,10190,a),flip(a)]. 10228 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(66,a,10196,a(flip),b,10226,a),flip(a)]. 10230 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9718(a,2),10108(a,1))]. 10231 K(x,T(y,L(y,z,u) \ 1)) = K(x,T(y,a(u,z,y))). [para(6596(a,1),10109(a,1,2))]. 10232 K(x,T(y,a(z,u,y))) = K(x,y). [hyper(66,a,9819,a(flip),b,10231,a),flip(a)]. 10234 T(x,T(y,a(z,u,y))) = x * K(x,y). [hyper(124,a,10232,a(flip),b,5125,a(flip)),flip(a)]. 10235 T(x,T(y,a(z,u,y))) = T(x,y). [hyper(285,a,5130,a,b,10234,a),flip(a)]. 10236 (x * T(y,a(z,u,y))) / T(x,y) = T(y,a(z,u,y)). [para(10235(a,1),179(a,1,2))]. 10237 T(x,T(a(y,z,x),u)) = T(x,a(y,z,x)). [hyper(8364,a,10236,a)]. 10238 T(T(x,y),T(a(z,u,x),w)) = T(T(x,a(z,u,x)),y). [para(10237(a,1),28(a,1,1)),flip(a)]. 10239 K(x,a(y,z,x)) * T(x,u) = T(T(x,a(y,z,x)),u). [hyper(8287,a,10238,a)]. 10240 T(x,T(y,a(z,u,x))) = T(x,y). [hyper(37,a,7825,a,b,10239,a)]. 10241 T(x,T(y,a(z,u,x))) = x * K(x,y). [hyper(285,a,5130,a(flip),b,10240,a),flip(a)]. 10242 K(x,T(y,a(z,u,x))) = K(x,y). [hyper(5207,a,10241,a)]. 10244 K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y). [para(10242(a,1),7682(a,1,2)),flip(a)]. 10245 K(x,a(y,z,x) / u) != w | K(x,u \ a(y,z,x)) = w. [para(10242(a,1),7708(a,1))]. 10246 T(a(x,y,z),K(z,u)) = a(x,y,z). [hyper(225,a,10244,a)]. 10248 a(x \ 1,x / y,y) = a(x \ 1,y \ x,y). [hyper(66,a,8983,a(flip),b,10246,a),flip(a)]. 10250 a(x \ 1,y \ x,y) / y = (1 / x) * (x / y). [hyper(123,a,10248,a(flip),b,3938,a)]. 10251 a((x * y) \ 1,(x * y) / x,x) = a((x * y) \ 1,y,x). [para(14(a,1),10248(a,2,2))]. 10252 (1 / (x * y)) * ((x * y) / x) = a((x * y) \ 1,y,x) / x. [para(14(a,1),10250(a,1,1,2)),flip(a)]. 10253 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(66,a,10184,a(flip),b,10176,a)]. 10254 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(66,a,497,a,b,10185,a)]. 10255 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(223(a,1),10185(a,1,1,1))]. 10256 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(10187(a,1),2232(a,1))]. 10257 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10080(a,2),10187(a,1,1))]. 10258 K(x,y) * (T(y,z) \ K(y,x)) = T(y,z) \ 1. [hyper(285,a,7404,a(flip),b,10154,a),flip(a)]. 10259 (1 / (x * y)) * (y * K(x,y)) = K(x,y) * ((1 / (x * y)) * y). [hyper(9166,a,10179,a),flip(a)]. 10260 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(37,a,10142,a,b,10192,a),flip(a)]. 10261 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1148(a,1),10260(a,1,2,2))]. 10262 1 / (((x / y) \ 1) \ K(z / (x \ y),(x / y) \ 1)) = T((x / y) \ 1,(x \ y) \ z). [hyper(66,a,5302,a(flip),b,10215,a)]. 10263 ((x / y) * T((x / y) \ 1,(x \ y) \ z)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(10215(a,1),7436(a,1,1,2))]. 10264 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(285,a,10171,a(flip),b,10225,a),flip(a)]. 10266 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(10137(a,1),10264(a,1,1,1)),flip(a)]. 10267 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10040(a,1),10186(a,2,1))]. 10268 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(5473,a,10206,a),flip(a)]. 10269 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(285,a,7884,a,b,10268,a),flip(a)]. 10270 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(10269(a,1),7920(a,1,1,1)),flip(a)]. 10271 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2606(a,1),10257(a,1,1,1,2)),flip(a)]. 10272 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(66,a,8290,a(flip),b,10077,a),flip(a)]. 10273 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(10272(a,1),5567(a,1,2,2))]. 10274 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(285,a,5525,a(flip),b,10270,a),flip(a)]. 10275 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(10211,a,10274,a)]. 10276 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9925(a,1),10253(a,1,2))]. 10277 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(66,a,7908,a,b,10162,a)]. 10278 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5320(a,1),10266(a,2,1))]. 10279 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(285,a,7860,a(flip),b,10278,a),flip(a)]. 10280 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(285,a,10116,a(flip),b,10279,a),flip(a)]. 10281 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(170(a,1),10099(a,1,2,1))]. 10282 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(285,a,5722,a(flip),b,8379,a),flip(a)]. 10283 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(117(a,1),10282(a,1,1,1))]. 10284 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8029,a(flip),b,8764,a)]. 10285 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8505,a(flip),b,10284,a)]. 10286 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(66,a,8765,a(flip),b,10285,a),flip(a)]. 10287 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(285,a,9439,a(flip),b,10286,a),flip(a)]. 10288 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5846(a,1),10287(a,1,1))]. 10289 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3193(a,1),10288(a,1,1))]. 10290 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(285,a,8744,a(flip),b,10289,a),flip(a)]. 10291 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8744,a(flip),b,10290,a)]. 10292 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8424,a,b,10291,a)]. 10293 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(170(a,1),10291(a,1,2)),flip(a)]. 10294 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8283(a,1),10293(a,1,2))]. 10295 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(66,a,6633,a(flip),b,10294,a)]. 10296 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(285,a,6626,a,b,10295,a),flip(a)]. 10297 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(15(a,1),10296(a,2,2))]. 10298 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4105(a,1),10297(a,1,2))]. 10299 K(T(T(x,y),z),(x * u) \ w) = K(T(T(x,y),z),u \ (x \ w)). [hyper(7544,a,9147,a),flip(a)]. 10301 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),z / (x * u)). [hyper(66,a,8003,a(flip),b,10299,a),flip(a)]. 10302 K(T(x,y),(x \ z) / u) = K(T(x,y),z / (x * u)). [hyper(66,a,8073,a(flip),b,10301,a)]. 10303 K(T(x / y,y),z / ((x / y) * u)) = K(y \ x,((x / y) \ z) / u). [para(118(a,1),10302(a,1,1)),flip(a)]. 10304 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((y / x) * u)). [para(118(a,1),10303(a,1,1)),flip(a)]. 10305 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((x \ y) * u)). [hyper(285,a,8705,a(flip),b,10304,a),flip(a)]. 10306 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9787(a,1),9256(a,1,2))]. 10307 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(66,a,9211,a(flip),b,10306,a),flip(a)]. 10308 K(((x \ 1) * (y \ 1)) \ 1,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(14(a,1),9267(a,1,1,1,1,1,1))]. 10309 K((x \ 1) \ y,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(6575(a,1),10308(a,1,1))]. 10310 K(x * y,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(6572(a,1),10309(a,1,1))]. 10311 R(1 / x,x,K(y * x,y)) = 1 / (y \ (y * x)). [hyper(395,a,10310,a)]. 10312 R(1 / x,x,K(y * x,y)) = 1 / x. [para(14(a,1),10311(a,2,2))]. 10313 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(10312(a,1),367(a,1,1))]. 10314 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5785(a,2),10313(a,1,2))]. 10315 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(5785(a,2),10314(a,2,2))]. 10316 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10315(a,2),215(a,1,2,2))]. 10317 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = T(1 / x,(1 / x) \ 1). [hyper(285,a,7566,a(flip),b,9271,a),flip(a)]. 10318 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = x \ 1. [hyper(285,a,597,a(flip),b,10317,a),flip(a)]. 10320 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(8961(a,1),9360(a,1,1,1,2)),flip(a)]. 10322 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [hyper(66,a,8105,a(flip),b,9767,a),flip(a)]. 10323 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5149(a,2),10322(a,1,2,1,1,1))]. 10324 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [hyper(66,a,9938,a(flip),b,10323,a)]. 10325 1 / (((x / y) \ 1) \ K(z / (x \ y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(5708(a,1),10262(a,1,2,2))]. 10326 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3359(a,1),8285(a,1,2,1)),flip(a)]. 10327 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3359(a,1),10326(a,1,2)),flip(a)]. 10329 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10327(a,1),593(a,1,1,1)),flip(a)]. 10331 K(T(T(x / (x / y),z),R(u,w,v5) * x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,8028,a(flip),b,8349,a)]. 10332 K(T(T(x / (x / y),z),x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,9511,a(flip),b,10331,a)]. 10334 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T((u / x) \ u,y),z). [hyper(66,a,7798,a(flip),b,10332,a),flip(a)]. 10335 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T(x,y),z). [para(90(a,1),10334(a,2,1,1))]. 10336 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(14(a,1),8818(a,1,2,1))]. 10338 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(23(a,2),10336(a,1,2))]. 10339 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(66,a,9387,a(flip),b,10338,a)]. 10340 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(285,a,9110,a(flip),b,10339,a),flip(a)]. 10343 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(15(a,1),10340(a,2,2,2))]. 10344 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(17(a,1),10340(a,1,1,2)),flip(a)]. 10345 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(66,a,7096,a(flip),b,10343,a),flip(a)]. 10346 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4250(a,1),10343(a,1,1,2))]. 10347 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(10343(a,1),6804(a,1,2))]. 10348 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10343(a,1),8165(a,1,1,2))]. 10349 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10343(a,1),8147(a,1,2,2))]. 10350 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(66,a,6738,a(flip),b,10345,a)]. 10352 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(96(a,1),10348(a,1,1)),flip(a)]. 10353 K(x / (y / L(z,u,w)),z) = K(x / (L(z,u,w) \ y),z). [para(6533(a,1),10348(a,1,1))]. 10354 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7402(a,1),10348(a,1,1)),flip(a)]. 10355 K((x * T(L(y,z,u),w)) / w,y) = K((x * L(y,z,u)) / w,y). [para(7445(a,1),10348(a,1,1)),flip(a)]. 10356 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7723(a,1),10348(a,1,1)),flip(a)]. 10357 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10356(a,1),8027(a,1,1,2)),flip(a)]. 10358 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(66,a,6740,a(flip),b,10349,a),flip(a)]. 10359 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10343(a,1),10349(a,1,2,2))]. 10360 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9631,a,10344,a),flip(a)]. 10361 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10344(a,1),8056(a,1,2,2))]. 10362 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10344(a,1),8138(a,1,2,1))]. 10363 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(96(a,1),10361(a,1,2))]. 10364 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5146(a,1),10362(a,1,2))]. 10365 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(66,a,8333,a(flip),b,10360,a)]. 10366 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(66,a,6846,a(flip),b,10360,a)]. 10367 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(34(a,2),10360(a,1,1))]. 10369 K(L(x,y,x) * z,x) = K(x * z,x). [hyper(285,a,8797,a(flip),b,10352,a),flip(a)]. 10370 K((L(x,y,z) \ x) \ u,x) = K((x \ u) * L(x,y,z),x). [hyper(66,a,9580,a,b,10352,a)]. 10371 K(x * (L(x,y,x) \ z),x) = K(z,x). [para(15(a,1),10369(a,1,1)),flip(a)]. 10372 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(10371(a,1),5150(a,1,1,2))]. 10373 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(10372(a,1),5240(a,1,1)),flip(a)]. 10374 T(x,L(x,y,x) * z) = T(x,x * z). [para(14(a,1),10373(a,1,2,2)),flip(a)]. 10376 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(285,a,5130,a(flip),b,10374,a),flip(a)]. 10379 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5207,a,10376,a)]. 10380 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(10379(a,1),9004(a,1,1))]. 10381 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(10363(a,1),9813(a,1,2))]. 10382 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(103(a,1),10381(a,1,2,2))]. 10383 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10364(a,1),9998(a,1,2))]. 10384 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [hyper(66,a,7881,a,b,10383,a)]. 10385 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10384,a),flip(a)]. 10386 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(103(a,1),10385(a,1,2,2))]. 10387 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(15(a,1),10382(a,1,2,2,2))]. 10388 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8740(a,1),10382(a,1,2))]. 10389 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(285,a,8244,a(flip),b,10388,a),flip(a)]. 10390 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(66,a,8244,a(flip),b,10388,a),flip(a)]. 10391 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(15(a,1),10389(a,1,2,2,2))]. 10392 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(66,a,8269,a,b,10390,a)]. 10393 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(15(a,1),10390(a,1,2,2))]. 10394 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(5191(a,1),10391(a,1,2,2)),flip(a)]. 10395 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(30(a,2),10354(a,1,1,2))]. 10397 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(113(a,1),10365(a,1,1)),flip(a)]. 10398 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10365(a,1),8743(a,1,1))]. 10399 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(285,a,8244,a(flip),b,10387,a),flip(a)]. 10400 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(66,a,8244,a(flip),b,10387,a),flip(a)]. 10401 K(x,T(x \ (y \ z),z)) = K(x,T(x \ (y \ z),y)). [para(15(a,1),10399(a,1,2,2))]. 10402 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10399(a,1),8500(a,1,1,1)),flip(a)]. 10403 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(17(a,1),10400(a,1,2,2)),flip(a)]. 10404 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(66,a,8568,a(flip),b,10403,a)]. 10405 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10395(a,1),6831(a,1,1,1,2))]. 10406 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6797(a,1),10347(a,1,2))]. 10407 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(285,a,8027,a(flip),b,10357,a),flip(a)]. 10408 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(341(a,1),10407(a,1,2,2,1,1))]. 10409 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(5234(a,1),10407(a,1,2,2))]. 10410 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(7708,a,10408,a),flip(a)]. 10411 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5545(a,1),10408(a,1,2,2))]. 10412 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6094(a,1),10408(a,1,2,2,1))]. 10415 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7997(a,1),10408(a,1,2,2))]. 10416 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8739(a,1),10415(a,1,2,2)),flip(a)]. 10417 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(66,a,9966,a(flip),b,10411,a),flip(a)]. 10418 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(112(a,1),10412(a,1,2,2))]. 10420 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(10146,a,10417,a)]. 10421 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [hyper(8434,a,10420,a),flip(a)]. 10422 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(15(a,1),10420(a,1,2,2,1)),flip(a)]. 10423 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(19(a,2),10420(a,1,2,2)),flip(a)]. 10424 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(5000(a,1),10420(a,1,2)),flip(a)]. 10425 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [para(14(a,1),10421(a,1,2,2)),flip(a)]. 10427 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(285,a,7968,a,b,10422,a)]. 10428 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(66,a,9337,a(flip),b,10422,a)]. 10429 K(x \ 1,T(y,z \ x)) = K(x \ 1,T(y,z)). [hyper(10098,a,10424,a)]. 10430 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [hyper(66,a,6628,a,b,10425,a)]. 10431 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(66,a,9545,a,b,10428,a)]. 10432 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [hyper(124,a,10428,a(flip),b,5125,a(flip)),flip(a)]. 10433 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(15(a,1),10428(a,1,2,2,2)),flip(a)]. 10434 K((x * y) \ 1,T(z,y)) = K((x * y) \ 1,T(z,x)). [para(14(a,1),10429(a,1,2,2))]. 10435 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(17(a,1),10430(a,1,2,2))]. 10436 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(15(a,1),10431(a,1,2,2,2))]. 10437 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(10083,a,10433,a),flip(a)]. 10438 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(66,a,10070,a(flip),b,10433,a),flip(a)]. 10440 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5146(a,1),10418(a,1,2,2,1)),flip(a)]. 10441 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8080(a,1),10418(a,1,2,2,1)),flip(a)]. 10442 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(285,a,5130,a,b,10432,a),flip(a)]. 10443 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(15(a,1),10442(a,1,2,2,2)),flip(a)]. 10444 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(115(a,1),10443(a,1,2)),flip(a)]. 10445 K((x * y) \ 1,T(T(z,x),y)) = K((x * y) \ 1,z). [hyper(285,a,7991,a(flip),b,10434,a),flip(a)]. 10446 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [hyper(285,a,8096,a(flip),b,10435,a),flip(a)]. 10447 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(285,a,10074,a,b,10436,a),flip(a)]. 10448 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(7708,a,10441,a),flip(a)]. 10450 K(((x \ 1) * y) \ 1,T(T(z,x),y)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,10095,a(flip),b,10445,a)]. 10451 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(10083,a,10447,a),flip(a)]. 10452 K(x \ y,T(z,(u * x) \ y)) = K(x \ y,T(z,T(u,x))). [para(27(a,2),10447(a,2,2,2))]. 10455 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(66,a,9376,a,b,10451,a)]. 10456 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(66,a,9320,a(flip),b,10455,a),flip(a)]. 10457 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(66,a,5734,a(flip),b,10406,a)]. 10458 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(10406(a,1),5252(a,1,1))]. 10459 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(10406(a,1),5217(a,1,2)),flip(a)]. 10461 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(10457(a,1),488(a,1,1))]. 10462 L(x,y,1 / (y * x)) \ 1 = T((1 / (y * x)) * y,x). [para(438(a,1),10458(a,1,1)),flip(a)]. 10464 1 / T((1 / (x * y)) * x,y) = L(y,x,1 / (x * y)). [hyper(185,a,10462,a)]. 10466 1 / T((1 / (x * y)) * x,y) != z | L(y,x,(x * y) \ 1) = z. [para(10464(a,2),3659(a,1))]. 10467 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(30(a,2),10358(a,1,2,1,1))]. 10468 K((x \ y) * L(x,z,z \ 1),x) = K(a(z \ 1,z,x) \ y,x). [para(3937(a,1),10370(a,1,1,1)),flip(a)]. 10469 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(66,a,8567,a(flip),b,10394,a),flip(a)]. 10470 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(17(a,1),10469(a,1,2,2)),flip(a)]. 10471 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5364,a,10398,a),flip(a)]. 10472 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10471(a,1),8761(a,2,2))]. 10473 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(285,a,9535,a(flip),b,10409,a),flip(a)]. 10475 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(16(a,1),10473(a,1,2,2)),flip(a)]. 10476 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(178(a,1),10473(a,1,2,2)),flip(a)]. 10477 K(T(x,y),T(z,u * L(x,w,v5))) = K(x,T(z * K(y,z),u)). [hyper(66,a,8030,a(flip),b,10475,a)]. 10478 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(66,a,10416,a(flip),b,10476,a)]. 10479 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(66,a,7696,a(flip),b,10478,a),flip(a)]. 10480 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(285,a,6628,a,b,10479,a),flip(a)]. 10481 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10480(a,1),9898(a,1,1)),flip(a)]. 10482 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(66,a,9978,a(flip),b,10410,a)]. 10483 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7708,a,10482,a),flip(a)]. 10485 K(x,y \ T(x,z)) = K(x,y \ x). [para(5190(a,2),10483(a,1,2,2))]. 10486 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(5146(a,1),10483(a,1,2,2)),flip(a)]. 10487 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5158(a,1),10483(a,1,2,2)),flip(a)]. 10488 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(5268(a,1),10483(a,1,2,2)),flip(a)]. 10489 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(5294(a,1),10483(a,1,2,2)),flip(a)]. 10490 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5516(a,1),10483(a,1,2,2)),flip(a)]. 10491 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6254(a,1),10483(a,1,2,2)),flip(a)]. 10492 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(7239(a,1),10483(a,1,2,2)),flip(a)]. 10493 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8080(a,1),10483(a,1,2,2)),flip(a)]. 10494 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10485(a,1),7917(a,1,1,2))]. 10495 K(x,(y * z) \ (x * y)) = K(x,z \ x). [hyper(6639,a,10486,a),flip(a)]. 10496 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10489(a,1),10260(a,1,2)),flip(a)]. 10497 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5818(a,1),10493(a,1,2,2))]. 10498 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6585(a,1),10493(a,1,2,2)),flip(a)]. 10499 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(66,a,9418,a,b,10490,a)]. 10500 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(285,a,10112,a(flip),b,10496,a),flip(a)]. 10501 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(10496(a,1),7893(a,1,1,1))]. 10502 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10500(a,1),7686(a,1,1))]. 10503 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(90(a,1),10497(a,1,2,2)),flip(a)]. 10505 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(66,a,7530,a(flip),b,10503,a),flip(a)]. 10506 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(285,a,9694,a(flip),b,10488,a),flip(a)]. 10507 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(442(a,1),10491(a,1,2))]. 10508 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(5101(a,1),10491(a,1,2,2,2))]. 10509 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(5312(a,1),10491(a,1,2,2,2))]. 10510 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(8035(a,1),10491(a,1,2,2,2))]. 10511 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(10510(a,1),7399(a,1,1,2)),flip(a)]. 10513 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(37,a,7968,a,b,10427,a)]. 10514 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(66,a,10120,a,b,10513,a)]. 10515 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(66,a,8313,a,b,10513,a)]. 10516 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(66,a,9559,a,b,10514,a)]. 10517 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(66,a,9633,a(flip),b,10515,a)]. 10518 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10517(a,1),10103(a,1,2)),flip(a)]. 10519 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(66,a,7884,a,b,10516,a)]. 10520 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(10098,a,10438,a)]. 10521 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w * x)). [hyper(66,a,10082,a(flip),b,10452,a),flip(a)]. 10522 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(66,a,7995,a(flip),b,10456,a),flip(a)]. 10523 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(122,a,10522,a(flip),b,5124,a(flip))]. 10524 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6423,a,10467,a)]. 10525 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1051(a,1),10524(a,1,2,2,1)),flip(a)]. 10526 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1052(a,1),10524(a,1,2,2,1))]. 10527 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(285,a,8520,a,b,10472,a)]. 10529 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(14(a,1),10520(a,1,2,2)),flip(a)]. 10530 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10529(a,1),8804(a,1,1))]. 10531 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(66,a,7991,a(flip),b,10397,a)]. 10532 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(589(a,1),10423(a,1,2,2))]. 10533 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(66,a,7777,a(flip),b,10532,a),flip(a)]. 10535 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(66,a,8038,a(flip),b,10533,a)]. 10536 T(x,T(y,a(x,z,u))) = x * K(x,y). [hyper(124,a,10533,a(flip),b,5125,a(flip)),flip(a)]. 10537 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(285,a,5130,a,b,10536,a),flip(a)]. 10538 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10537(a,1),8555(a,1,1,1))]. 10539 x * (a(1 / y,y,x) / x) = x * (1 / L(x,y,y \ 1)). [hyper(66,a,3830,a(flip),b,10459,a)]. 10541 x * (a(y \ 1,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(3935(a,1),10539(a,1,2,1))]. 10542 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (a(y \ 1,y,x) / x))) = K(x,z \ x). [para(10541(a,2),10495(a,1,2,2))]. 10543 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1584,a,10461,a)]. 10544 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(180,a,10543,a)]. 10545 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(136,a,10543,a)]. 10546 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(10544(a,1),6344(a,2,2,1))]. 10547 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(10544(a,1),6989(a,2,1,1))]. 10548 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),L(z,y,x)). [para(10545(a,1),4731(a,1,2,2))]. 10549 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6864(a,1),10547(a,1,1))]. 10550 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [hyper(185,a,10549,a)]. 10551 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10549(a,1),3894(a,2,1))]. 10552 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(9467(a,1),10550(a,2,1,1))]. 10553 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [hyper(647,a,10548,a),flip(a)]. 10554 K(L(x,y,z),a(z,y,x)) = a(z,y,x) / a(z,y,x). [para(10553(a,1),5123(a,2,2))]. 10555 K(L(x,y,z),a(z,y,x)) = 1. [hyper(285,a,85,a(flip),b,10554,a),flip(a)]. 10557 K(((x / y) * (y / z)) \ x,a(x / y,y / z,z)) = 1. [para(654(a,1),10555(a,1,1))]. 10558 K(T(x,y),T(z,u * L(x,w,v5))) = K(T(x,y),T(z,u)). [hyper(285,a,8030,a(flip),b,10477,a),flip(a)]. 10559 K(T(x,y),T(z,y)) = K(R(x,y,L(x,u,w)),z). [hyper(66,a,8109,a(flip),b,10558,a),flip(a)]. 10561 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,7990,a(flip),b,10559,a),flip(a)]. 10563 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(66,a,8011,a(flip),b,10561,a),flip(a)]. 10564 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(10561(a,1),5190(a,2,1)),flip(a)]. 10565 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(66,a,7990,a(flip),b,10563,a),flip(a)]. 10567 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(10565(a,1),5232(a,2,1,1))]. 10568 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(285,a,5232,a,b,10567,a),flip(a)]. 10569 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(285,a,32,a,b,10564,a),flip(a)]. 10570 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(285,a,7753,a(flip),b,10531,a)]. 10571 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(90(a,1),10570(a,1,1,1)),flip(a)]. 10572 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(16(a,1),10571(a,1,1,2)),flip(a)]. 10573 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(87(a,1),10571(a,1,1,2)),flip(a)]. 10575 K(a(x \ 1,x,y) \ z,y) = K(z,y). [hyper(66,a,8715,a(flip),b,10468,a),flip(a)]. 10577 K(x,a(y \ 1,y,x) \ z) = (x \ K(z,x)) \ (x \ 1). [para(10575(a,1),5649(a,1,1,2)),flip(a)]. 10578 K(x,a(y \ 1,y,x) \ z) = K(x,z). [hyper(285,a,5649,a(flip),b,10577,a),flip(a)]. 10579 K(x,a(y \ 1,y,x) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,10578,a),flip(a)]. 10580 K(x,y \ a(z \ 1,z,x)) = K(x,y \ 1). [hyper(10245,a,10579,a)]. 10581 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(38,a,10191,a,b,10494,a),flip(a)]. 10582 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10581,a)]. 10583 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(66,a,10178,a,b,10582,a)]. 10584 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(90(a,1),10583(a,1,2,2,1,2))]. 10585 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(66,a,7147,a(flip),b,10584,a)]. 10586 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(7895,a,10501,a),flip(a)]. 10587 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(10586(a,1),8773(a,1,2))]. 10588 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(285,a,7399,a(flip),b,10511,a),flip(a)]. 10589 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(96(a,1),10588(a,1,1,2,2))]. 10590 K((x * (y * z)) / u,T(z,x * (y * z))) = K(u \ (x * (z * y)),z). [hyper(8435,a,10589,a)]. 10591 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),10589(a,2,1))]. 10592 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(285,a,7872,a(flip),b,10518,a),flip(a)]. 10593 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(10113,a,10592,a)]. 10594 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(17(a,1),10593(a,1,2,2)),flip(a)]. 10595 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(10594(a,1),5178(a,1,2,1))]. 10596 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(66,a,9004,a(flip),b,10380,a),flip(a)]. 10597 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(7997(a,1),10402(a,2,1))]. 10598 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(10523(a,1),9692(a,1,1))]. 10599 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (x * (z * y)),z). [hyper(66,a,10382,a(flip),b,10590,a)]. 10600 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(66,a,6924,a(flip),b,10405,a),flip(a)]. 10602 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(7991(a,1),10530(a,1,1)),flip(a)]. 10603 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(66,a,9905,a,b,10602,a)]. 10605 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(619,a,10546,a)]. 10606 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(30(a,2),10605(a,1,1))]. 10607 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(128,a,10606,a)]. 10608 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1509(a,1),10607(a,1,1))]. 10609 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(66,a,10033,a(flip),b,10448,a)]. 10610 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(7708,a,10609,a),flip(a)]. 10612 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5439(a,1),10610(a,1,2,2,1)),flip(a)]. 10613 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(285,a,9059,a(flip),b,10591,a),flip(a)]. 10615 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5558,a,10598,a),flip(a)]. 10616 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(66,a,10506,a,b,10615,a)]. 10617 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(285,a,10596,a(flip),b,10366,a),flip(a)]. 10619 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(285,a,6845,a(flip),b,10617,a),flip(a)]. 10620 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(66,a,7738,a(flip),b,10538,a)]. 10621 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(9082,a,10346,a)]. 10623 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (x \ a(y \ 1,y,x)))) = K(x,z \ x). [hyper(66,a,10498,a(flip),b,10542,a)]. 10624 K(x,((1 / L(x,y,y \ 1)) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(15(a,1),10623(a,1,2,2))]. 10625 K(x,((L(x,y,y \ 1) \ 1) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [hyper(66,a,7160,a(flip),b,10624,a)]. 10627 K(x,((L(x,y,y \ 1) \ 1) * z) \ 1) = K(x,z \ x). [hyper(66,a,10580,a(flip),b,10625,a)]. 10629 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5473,a,10595,a),flip(a)]. 10630 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(285,a,10169,a(flip),b,10629,a),flip(a)]. 10631 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(66,a,10169,a(flip),b,10630,a)]. 10632 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9822(a,1),10631(a,1,2))]. 10633 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(66,a,10276,a(flip),b,10632,a),flip(a)]. 10634 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(66,a,10176,a(flip),b,10633,a),flip(a)]. 10635 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(66,a,7881,a,b,10634,a)]. 10636 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(66,a,9750,a(flip),b,10635,a)]. 10637 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(285,a,8904,a(flip),b,10636,a),flip(a)]. 10639 K(x,K(y,a(z,x,u))) = 1. [para(208(a,1),10637(a,1,2,2,3))]. 10641 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10639(a,1),7862(a,1,2)),flip(a)]. 10642 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(285,a,13,a(flip),b,10641,a),flip(a)]. 10643 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8227,a,10642,a)]. 10644 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [hyper(124,a,10643,a(flip),b,27,a(flip)),flip(a)]. 10646 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(9540(a,1),10608(a,1,2,2))]. 10647 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5591,a,10646,a)]. 10649 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(66,a,9199,a(flip),b,10507,a),flip(a)]. 10651 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(66,a,8612,a(flip),b,10649,a),flip(a)]. 10653 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(23(a,2),10651(a,2,2))]. 10654 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5360(a,1),10653(a,1,2,2)),flip(a)]. 10655 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10654(a,1),5633(a,1,2,2)),flip(a)]. 10656 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(285,a,5633,a(flip),b,10655,a),flip(a)]. 10657 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5143(a,1),10656(a,1,1,2)),flip(a)]. 10658 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(66,a,10621,a(flip),b,10657,a)]. 10661 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(38,a,6177,a(flip),b,10551,a),flip(a)]. 10662 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(66,a,7261,a,b,10661,a)]. 10663 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1080(a,1),10662(a,1,2))]. 10664 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(136,a,10663,a)]. 10665 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(10663(a,1),5254(a,2,1)),flip(a)]. 10666 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(10664(a,1),6938(a,1,2,2,1)),flip(a)]. 10667 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(285,a,7908,a,b,10665,a),flip(a)]. 10668 L(K(x,y) * K(x,K(y,z * u)),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(10386(a,1),9010(a,1,1,2))]. 10669 (x * (y * T(z,u))) / (x * (y * z)) = L(K(z,T(u,x * y)),y * z,x). [para(7968(a,1),10668(a,1,1)),flip(a)]. 10670 (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). [hyper(285,a,6653,a(flip),b,10669,a),flip(a)]. 10671 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(285,a,16,a(flip),b,9180,a),flip(a)]. 10673 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(9170(a,1),10671(a,1,3))]. 10674 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(285,a,10152,a(flip),b,9440,a),flip(a)]. 10675 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(285,a,10292,a(flip),b,10674,a),flip(a)]. 10676 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(208(a,1),10675(a,2,2,2))]. 10677 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(66,a,10428,a(flip),b,10676,a)]. 10678 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(14(a,1),10677(a,1,2,2))]. 10679 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(66,a,8414,a(flip),b,10678,a)]. 10683 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(285,a,8419,a(flip),b,10679,a),flip(a)]. 10684 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(17(a,1),10683(a,1,2,2,1)),flip(a)]. 10685 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [hyper(124,a,10684,a(flip),b,5125,a(flip)),flip(a)]. 10686 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(285,a,5130,a,b,10685,a),flip(a)]. 10687 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(285,a,9470,a(flip),b,9471,a),flip(a)]. 10688 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(285,a,6468,a(flip),b,10687,a),flip(a)]. 10689 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(66,a,9659,a(flip),b,10688,a),flip(a)]. 10691 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1245(a,1),10689(a,1,1))]. 10692 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(285,a,9495,a(flip),b,9493,a),flip(a)]. 10693 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(285,a,6592,a(flip),b,10692,a),flip(a)]. 10694 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(66,a,9664,a(flip),b,10693,a),flip(a)]. 10696 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(8426,a,9573,a),flip(a)]. 10697 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(66,a,5918,a(flip),b,9625,a),flip(a)]. 10698 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(78(a,1),10697(a,2,1))]. 10699 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(285,a,4600,a(flip),b,9682,a),flip(a)]. 10700 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(604(a,1),10699(a,1,2))]. 10701 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6555,a,10700,a),flip(a)]. 10702 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(116(a,1),9685(a,2,2))]. 10703 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(285,a,9905,a,b,10702,a),flip(a)]. 10704 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(9684(a,1),10703(a,1,3)),flip(a)]. 10705 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(66,a,10603,a(flip),b,10704,a),flip(a)]. 10707 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(10705(a,1),32(a,2,1))]. 10708 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(5336(a,1),10705(a,1,1))]. 10709 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(10705(a,1),5808(a,1,1))]. 10710 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(285,a,30,a,b,10707,a),flip(a)]. 10711 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(5336(a,1),10708(a,2,1))]. 10712 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [hyper(66,a,8790,a(flip),b,10711,a)]. 10713 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(66,a,25,a(flip),b,10711,a)]. 10714 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10710(a,2,1))]. 10715 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [hyper(66,a,9615,a(flip),b,10712,a)]. 10716 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10714(a,1,1))]. 10717 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [hyper(66,a,7526,a(flip),b,10715,a),flip(a)]. 10718 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10713(a,1),479(a,1))]. 10719 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(9681(a,1),10713(a,1,1))]. 10720 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(116(a,1),10719(a,1,2))]. 10721 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(66,a,9905,a,b,10720,a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(116(a,1),10014(a,1,2))]. 10723 K(((x / y) * (z * y)) \ (x * (z * y)),z) = L(K(y,z),T(x,z * y),z * y). [hyper(66,a,9916,a,b,10722,a)]. 10724 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(10079(a,1),10255(a,1,1)),flip(a)]. 10725 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5316(a,1),10724(a,2,2))]. 10726 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10036(a,1),10267(a,1,2,1))]. 10727 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5545(a,1),10726(a,1,2))]. 10729 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7801(a,1),10273(a,1,1))]. 10730 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10314(a,1),10316(a,1,2,2))]. 10731 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9543(a,1),10730(a,1,2,2))]. 10732 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(116(a,1),10731(a,1,2)),flip(a)]. 10733 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(285,a,9817,a(flip),b,10696,a),flip(a)]. 10735 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(285,a,8013,a(flip),b,10733,a),flip(a)]. 10736 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6775(a,1,1,2))]. 10737 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(285,a,626,a(flip),b,10736,a),flip(a)]. 10739 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(136,a,10737,a)]. 10740 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(39,a,5448,a,b,10737,a)]. 10742 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(116(a,1),10739(a,1,2)),flip(a)]. 10743 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10739(a,1),5453(a,1,2)),flip(b)]. 10744 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7884(a,2),10739(a,1,1))]. 10745 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5360(a,1),10740(a,1,2,2)),flip(a)]. 10746 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(66,a,7945,a,b,10745,a)]. 10747 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6651(a,1),10745(a,1,2,1)),flip(a)]. 10748 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7941(a,1),10745(a,2,2))]. 10750 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(224,a,9194,a,b,10742,a)]. 10751 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6270,a,10750,a),flip(a)]. 10753 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(10750(a,2),263(a,1))]. 10754 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(7884(a,1),10750(a,2,1))]. 10756 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7884(a,2),10744(a,2,2,1))]. 10757 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8232(a,1),10746(a,1,1))]. 10758 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(66,a,9408,a(flip),b,10748,a)]. 10759 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6270,a,10758,a),flip(a)]. 10760 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(285,a,8533,a(flip),b,10759,a),flip(a)]. 10761 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(10759(a,2),7399(a,1,1))]. 10763 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(10760(a,1),4144(a,1,1)),flip(a)]. 10764 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(285,a,8915,a(flip),b,10761,a),flip(a)]. 10765 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(7884(a,1),10754(a,1,1,1))]. 10766 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(303,a,10756,a),flip(a)]. 10767 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7884(a,2),10766(a,1,2,1))]. 10768 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6651(a,1),10747(a,1,1))]. 10769 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(268(a,1),6799(a,1,2)),flip(a)]. 10770 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(285,a,6468,a(flip),b,10769,a),flip(a)]. 10771 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(268(a,1),10770(a,1,2))]. 10772 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(285,a,6871,a(flip),b,10771,a),flip(a)]. 10773 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(10772(a,1),6019(a,2,2)),flip(a)]. 10774 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(78(a,1),10773(a,1,2,1))]. 10775 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(37,a,3896,a(flip),b,10774,a),flip(a)]. 10776 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(37,a,2756,a(flip),b,10774,a),flip(a)]. 10777 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(123,a,10774,a(flip),b,6241,a)]. 10778 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(10774(a,1),785(a,2,1,1))]. 10779 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(15(a,1),10775(a,1,1))]. 10780 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(10779(a,1),5344(a,1,2)),flip(a)]. 10781 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(285,a,5344,a(flip),b,10780,a),flip(a)]. 10782 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(14(a,1),10781(a,1,1,1)),flip(a)]. 10783 K(x \ ((y / x) \ 1),y) = K(y \ 1,y). [para(90(a,1),10781(a,1,1,1))]. 10784 K((x * y) \ 1,1 \ (x * y)) = K(y \ (x \ 1),x * y). [para(78(a,2),10782(a,1,2))]. 10785 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(90(a,1),10776(a,1,2,2))]. 10786 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(10785(a,2),2622(a,1,2))]. 10787 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(7158(a,1),10786(a,1,2))]. 10788 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(6702(a,1),10787(a,1,2))]. 10789 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(87(a,1),10788(a,1,2,1,1)),flip(a)]. 10791 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(285,a,10774,a(flip),b,10789,a),flip(a)]. 10792 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(10791(a,1),3614(a,1,1))]. 10793 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(38,a,6884,a,b,10792,a)]. 10794 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(10793(a,1),6240(a,1,1))]. 10795 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5119(a,2),6823(a,1,2,1,2)),flip(a)]. 10796 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6958(a,1,2))]. 10797 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(285,a,5798,a(flip),b,10796,a),flip(a)]. 10798 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(9081(a,1),10797(a,1,1,1,1))]. 10799 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7045(a,1),10798(a,1,1))]. 10801 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9221(a,1),10799(a,1,1))]. 10802 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),7426(a,1,2,2))]. 10803 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(8781,a,8784,a),flip(a)]. 10804 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(87(a,1),10803(a,1,2,1,2,1)),flip(a)]. 10805 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(285,a,8780,a(flip),b,8925,a),flip(a)]. 10806 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8357(a,1),10805(a,1,2,1,2,1))]. 10807 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(z,u) \ 1)). [para(9312(a,2),9321(a,2,2,1,1))]. 10808 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6086(a,1),9413(a,1,1,2))]. 10809 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(285,a,9943,a(flip),b,9553,a),flip(a)]. 10811 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,6392,a(flip),b,10809,a),flip(a)]. 10812 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6385(a,1),10811(a,1,2,2))]. 10813 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [hyper(285,a,10324,a(flip),b,10446,a),flip(a)]. 10814 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [hyper(285,a,6632,a(flip),b,10813,a),flip(a)]. 10815 T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7587(a,1),10802(a,1,2))]. 10816 T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). [hyper(66,a,10181,a(flip),b,10815,a)]. 10818 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(66,a,10275,a(flip),b,10816,a),flip(a)]. 10819 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(u,z))). [para(5320(a,1),10807(a,2,2,2))]. 10820 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(y * K(z,u),T(u,z)) \ 1). [hyper(285,a,8412,a(flip),b,10819,a),flip(a)]. 10821 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(T(u,z) \ (y * u)) \ 1). [para(7457(a,1),10820(a,2,2,1))]. 10822 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(y * u) \ T(u,z)). [hyper(285,a,6392,a(flip),b,10821,a),flip(a)]. 10823 T(K(x,T(K(y,z) / u,T(u,y))),y) = K(x,(u * y) \ T(y,z)). [hyper(66,a,9780,a(flip),b,10822,a)]. 10824 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8302(a,1),10808(a,1,2))]. 10825 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7881(a,1),10824(a,1,2))]. 10827 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10825(a,1),8275(a,1,2,2))]. 10828 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(66,a,8300,a(flip),b,10827,a),flip(a)]. 10830 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(285,a,8460,a(flip),b,10828,a),flip(a)]. 10832 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(8888(a,1),6667(a,1,1))]. 10833 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(15(a,1),10832(a,1,2,2)),flip(a)]. 10835 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(5190(a,2),10833(a,2,2))]. 10836 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(285,a,5101,a(flip),b,10835,a),flip(a)]. 10837 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,10836,a),flip(a)]. 10838 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(10836(a,2),4935(a,1))]. 10839 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10837(a,1,1,3))]. 10840 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(285,a,8027,a(flip),b,6847,a),flip(a)]. 10841 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(6181(a,1),10840(a,1,1))]. 10842 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(66,a,8027,a(flip),b,10841,a),flip(a)]. 10843 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(66,a,9962,a(flip),b,10842,a),flip(a)]. 10845 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(66,a,8046,a,b,10843,a)]. 10846 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(66,a,10616,a(flip),b,10845,a)]. 10847 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(66,a,626,a(flip),b,10846,a)]. 10849 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(66,a,9227,a(flip),b,10847,a)]. 10850 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(66,a,10486,a,b,10849,a)]. 10851 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(90(a,1),10850(a,1,2,2,1)),flip(a)]. 10852 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(10851(a,1),7986(a,1,1))]. 10854 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(66,a,7998,a(flip),b,10852,a)]. 10855 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(10852(a,1),9644(a,1))]. 10856 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(66,a,9589,a(flip),b,10854,a)]. 10857 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,9481,a(flip),b,10854,a),flip(a)]. 10858 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(66,a,9391,a,b,10856,a)]. 10859 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(60,a,10856,a)]. 10860 K(x,((x * y) / z) \ x) = K(x,z / y). [para(14(a,1),10856(a,1,2,2)),flip(a)]. 10861 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10856(a,1),6101(a,1,1))]. 10862 K(x,((y * x) / z) \ x) = K(x,z / y). [hyper(66,a,7595,a,b,10860,a)]. 10863 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(87(a,1),10860(a,1,2,1)),flip(a)]. 10864 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(4179(a,1),10860(a,1,2,1))]. 10865 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(7653(a,1),10860(a,1,2,1))]. 10866 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(658(a,1),10863(a,1,2,1,2))]. 10867 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10858(a,2),7682(a,2,1)),flip(a)]. 10868 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5760,a,10859,a)]. 10869 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(66,a,9602,a,b,10868,a)]. 10870 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5046(a,1),10857(a,1,2,1))]. 10871 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,6640,a(flip),b,10870,a)]. 10872 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1245(a,1),10871(a,1,2)),flip(a)]. 10873 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(66,a,10535,a(flip),b,10866,a)]. 10874 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(9392,a,10867,a)]. 10875 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [hyper(124,a,10874,a(flip),b,5125,a(flip))]. 10876 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5180,a,10875,a),flip(a)]. 10877 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10875(a,1),5180(a,1))]. 10878 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(66,a,9273,a(flip),b,10876,a),flip(a)]. 10879 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(87(a,1),10878(a,1,2,1,1)),flip(a)]. 10880 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(66,a,6640,a(flip),b,10865,a)]. 10881 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(9141,a,10880,a)]. 10882 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(27(a,2),10881(a,1,2,2))]. 10883 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(66,a,8143,a(flip),b,10882,a),flip(a)]. 10884 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(66,a,10864,a,b,10883,a)]. 10885 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(118(a,1),10884(a,2,2,2))]. 10886 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(66,a,6640,a(flip),b,10885,a)]. 10887 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(66,a,10850,a(flip),b,10886,a)]. 10888 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,10887,a),flip(a)]. 10889 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6126(a,1),10888(a,1,2))]. 10890 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(66,a,8794,a(flip),b,10889,a),flip(a)]. 10891 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6848(a,1,2))]. 10892 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(285,a,9008,a(flip),b,7388,a),flip(a)]. 10894 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5289(a,1),10892(a,2,2,2))]. 10895 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(187(a,1),10894(a,2,2))]. 10897 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(285,a,13,a(flip),b,10895,a),flip(a)]. 10899 R(x,K(y,z),R(z,u,w)) = x. [para(7383(a,1),10897(a,1,3))]. 10900 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10899,a)]. 10902 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(9344(a,2),10900(a,1,2))]. 10903 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(285,a,16,a(flip),b,7389,a),flip(a)]. 10905 R(x,K(y,z),L(z,u,w)) = x. [para(7384(a,1),10903(a,1,3))]. 10906 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10905,a)]. 10909 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7776(a,1),10905(a,1,2))]. 10910 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(66,a,7425,a(flip),b,10909,a)]. 10911 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(66,a,3247,a(flip),b,10906,a),flip(a)]. 10912 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9217(a,1),10910(a,1,2)),flip(a)]. 10913 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(10912(a,1),10320(a,2,1))]. 10914 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(285,a,9203,a(flip),b,10913,a),flip(a)]. 10916 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8961(a,1),10914(a,1,2,1))]. 10918 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7884(a,1),9367(a,1,1,2))]. 10919 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K(u \ (L(y,z,x) * (x * z)),y). [hyper(285,a,9815,a(flip),b,9496,a),flip(a)]. 10920 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (L(z,y,x) * (x * y)),z). [hyper(66,a,9721,a(flip),b,10919,a)]. 10921 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (y * z)),y). [hyper(66,a,10599,a(flip),b,10920,a),flip(a)]. 10923 K((K(x,L(y,z,u) / w) * L(y,z,u)) / w,y) = K((x * (1 / (w / L(y,z,u)))) / x,y). [para(5708(a,1),9563(a,1,1,1,1))]. 10924 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5770,a,10727,a)]. 10925 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6182(a,1),10778(a,1,1,2))]. 10927 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(10774(a,1),10925(a,1,1))]. 10928 (x \ (((x * y) \ 1) \ 1)) / z != ((x \ (((x * y) \ 1) \ 1)) / y) * u | u \ y = z. [para(10927(a,1),48(a,1)),flip(a)]. 10929 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(10777(a,1),10927(a,2,1))]. 10930 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(66,a,10794,a(flip),b,10929,a),flip(a)]. 10931 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,6241,a(flip),b,10930,a)]. 10932 (((x * y) \ 1) \ 1) * K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,6068,a(flip),b,10930,a)]. 10933 (x * y) * ((y * x) * (1 / (x * y))) = ((y * x) \ 1) \ 1. [hyper(66,a,5880,a,b,10932,a)]. 10935 T(x * y,(y * x) \ 1) = ((x * y) \ 1) \ 1. [hyper(66,a,5885,a(flip),b,10933,a)]. 10936 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,5876,a(flip),b,10935,a)]. 10937 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(89(a,1),10891(a,2,1))]. 10938 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(5254(a,2),10937(a,2,2,2))]. 10939 K(L(x,x \ 1,y),z) = K(x,z). [hyper(344,a,10938,a),flip(a)]. 10940 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(66,a,8009,a(flip),b,10939,a),flip(a)]. 10941 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(66,a,7990,a(flip),b,10940,a),flip(a)]. 10942 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(10940(a,2),9140(a,1))]. 10944 L(K(x,y),K(z,x),u) = K(x,y). [hyper(66,a,8733,a(flip),b,10941,a)]. 10946 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(124,a,10944,a(flip),b,23,a(flip))]. 10947 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(10944(a,1),34(a,1,1)),flip(a)]. 10948 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(10944(a,1),410(a,1,2,1))]. 10949 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10944(a,1),411(a,1,2,1))]. 10952 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(32(a,2),10942(a,1,2))]. 10953 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(118(a,1),10942(a,1,1))]. 10954 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(118(a,1),10942(a,1,2))]. 10955 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(208(a,1),10942(a,1,1))]. 10956 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(197(a,1),10942(a,1,1))]. 10958 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(5617(a,1),10942(a,1,1))]. 10959 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7697(a,1),10942(a,1))]. 10960 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7761(a,1),10942(a,1))]. 10961 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(10940(a,1),10942(a,1))]. 10962 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(118(a,1),10960(a,1,2,1))]. 10963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7694(a,1),10960(a,1))]. 10964 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7994(a,1),10960(a,1))]. 10965 K((x \ 1) * y,T(T(z,y),x)) != u | K((x \ 1) * y,z) = u. [para(8353(a,1),10960(a,1))]. 10966 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(169(a,1),10953(a,1,2))]. 10967 K((x \ y) \ 1,T(z,y)) != u | K(x / y,z) = u. [para(6468(a,2),10953(a,1))]. 10968 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(7681(a,1),10953(a,1))]. 10970 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8270(a,2),10953(a,1))]. 10974 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(197(a,1),10959(a,1,1))]. 10975 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7761(a,1),10959(a,1))]. 10978 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(19(a,2),10962(a,1,2,1))]. 10982 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7695(a,1),10963(a,1))]. 10983 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9402(a,1),10963(a,1))]. 10988 K((L(x,y,z) * u) / w,T(x,u)) != v5 | K(w \ (L(x,y,z) * u),x) = v5. [para(9813(a,1),10964(a,1))]. 10989 K(x \ (y * (z * u)),z) != w | K(x \ (y * (u * z)),z) = w. [para(10590(a,1),10964(a,1))]. 10990 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(8067(a,1),10968(a,1))]. 10991 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8907(a,2),10975(a,1))]. 10994 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(5828(a,2),10990(a,1))]. 10996 K(x \ (x * y),z) != u | K(y,z) = u. [para(342(a,1),10961(a,1,1))]. 10997 K((x / y) \ x,z) != u | K(y,z) = u. [para(17(a,1),10996(a,1,1,2))]. 11000 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8013(a,1),10996(a,1))]. 11001 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(7994(a,1),10997(a,1))]. 11003 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5149(a,1),11000(a,1,1))]. 11008 K(x,T(y,z / x)) != u | K(x,T(y,z)) = u. [para(8017(a,1),11001(a,1))]. 11009 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(6516(a,2),11003(a,1))]. 11011 K((x \ y) * K(z,y / x),u) != w | K(x \ y,T(u,T(z,x))) = w. [para(8014(a,1),11003(a,1,1,2))]. 11018 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8413(a,1),11008(a,1))]. 11019 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(10074(a,1),11018(a,1))]. 11020 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8246(a,2),11019(a,1))]. 11021 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(10086(a,1),11019(a,1))]. 11024 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(10947(a,1),7413(a,1,2)),flip(a)]. 11025 K(((x / y) * x) \ (y * (x / y)),z) != u | K(y / x,z) = u. [para(7813(a,2),10967(a,1))]. 11026 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7409,a,10946,a)]. 11027 R(x,K(y,z),K(z,u)) = x. [hyper(475,a,10946,a)]. 11030 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2229(a,2),10946(a,2,2))]. 11031 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(285,a,7396,a(flip),b,11027,a),flip(a)]. 11033 R(x,T(K(y,z),u),K(z,w)) = x. [para(1403(a,1),11027(a,1,2))]. 11034 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(11027(a,1),2528(a,1,1,1))]. 11037 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5949(a,1),11027(a,1,3))]. 11038 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5981(a,1),11027(a,1,2))]. 11039 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6094(a,1),11027(a,1,3))]. 11040 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6010(a,1),11033(a,1,3))]. 11041 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(11037(a,1),54(a,2))]. 11042 R(x,K(y,z),L(R(K(z,u),w,v5),v6,v7)) = x. [para(6094(a,1),11037(a,1,3,1))]. 11043 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(11038(a,1),463(a,1,1))]. 11044 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(11038(a,1),498(a,1,1))]. 11045 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(11039(a,1),54(a,2))]. 11046 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(11040(a,1),847(a,1,1)),flip(a)]. 11047 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(11040(a,1),7373(a,1)),flip(a)]. 11049 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5697(a,1),11031(a,1,1))]. 11050 L(K(x,y),K(z,y),u) = K(x,y). [hyper(7562,a,11026,a)]. 11051 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2229(a,2),11026(a,1,1,2))]. 11052 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [hyper(124,a,11050,a(flip),b,23,a(flip))]. 11053 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(11050(a,1),7413(a,1,2)),flip(a)]. 11054 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(224,a,11030,a,b,582,a)]. 11055 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(66,a,10757,a(flip),b,11030,a)]. 11056 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(7392(a,1),11030(a,1,1)),flip(a)]. 11057 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7403(a,1),11030(a,1,1)),flip(a)]. 11058 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(38,a,11026,a,b,11051,a(flip))]. 11061 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(11051(a,1),7422(a,1,1))]. 11062 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7347(a,1),11053(a,1,2))]. 11063 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(128,a,11056,a)]. 11064 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(390,a,11058,a)]. 11066 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(11058(a,1),294(a,1,1)),flip(b)]. 11067 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(66,a,11052,a,b,11062,a)]. 11068 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7682(a,1),11063(a,1,1))]. 11069 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(7409,a,11067,a),flip(a)]. 11070 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(38,a,11051,a,b,11067,a),flip(a)]. 11071 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(11067(a,1),7417(a,1,1)),flip(a)]. 11072 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(123,a,11069,a(flip),b,7432,a)]. 11073 R(x,K(y,z),K(u,y)) = x. [hyper(475,a,11070,a)]. 11074 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3018(a,1),11070(a,1,1))]. 11080 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9017(a,2),10952(a,1))]. 11081 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(7014(a,1),11080(a,1))]. 11083 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8045(a,1),10983(a,1))]. 11084 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9724(a,1),10983(a,1))]. 11085 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7761(a,1),11068(a,2,2))]. 11086 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7380,a,11071,a)]. 11087 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(66,a,6348,a(flip),b,11072,a)]. 11088 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7682(a,1),11085(a,1,2))]. 11089 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(285,a,7385,a(flip),b,11086,a),flip(a)]. 11090 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(7408(a,1),11087(a,1,1)),flip(a)]. 11091 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(66,a,7809,a(flip),b,11090,a)]. 11092 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(285,a,11057,a,b,11091,a)]. 11093 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3193(a,2),11089(a,2,2))]. 11094 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5670(a,1),11092(a,2,2))]. 11095 K(x \ (L(y,z,u) * (u * z)),y) != w | K(x \ (u * (z * y)),y) = w. [para(10921(a,2),10989(a,1))]. 11096 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5149(a,2),11009(a,1,2,1))]. 11098 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(11069(a,2),11061(a,1))]. 11099 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2233(a,2),10948(a,2,2))]. 11100 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(7392(a,1),10948(a,1,1)),flip(a)]. 11101 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(123,a,7532,a(flip),b,11024,a)]. 11102 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(7557(a,1),11043(a,1,1))]. 11103 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(285,a,2238,a(flip),b,11102,a),flip(a)]. 11104 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(838(a,1),10994(a,1,1,2))]. 11105 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7416,a,11044,a)]. 11106 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(285,a,2238,a(flip),b,11105,a),flip(a)]. 11107 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7392(a,1),11106(a,1,2)),flip(a)]. 11108 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7587(a,1),11107(a,1,2))]. 11109 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5662,a,11108,a)]. 11110 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5452,a,11108,a)]. 11111 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2241,a,11108,a)]. 11112 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(653,a,11108,a)]. 11113 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [hyper(66,a,9753,a,b,11108,a)]. 11114 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(66,a,6128,a,b,11108,a)]. 11115 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(124,a,11108,a(flip),b,6128,a)]. 11116 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(124,a,11108,a(flip),b,5514,a),flip(a)]. 11117 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5946(a,1),11108(a,1,2))]. 11118 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6653(a,1),11108(a,1,2))]. 11119 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(11108(a,1),6949(a,1,1)),flip(a)]. 11121 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(11110(a,1),5453(a,1,2)),flip(b)]. 11123 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(11110(a,1),8300(a,1,2,2,2)),flip(a)]. 11124 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(66,a,11044,a,b,11111,a)]. 11126 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6648(a,1),11111(a,1,1))]. 11127 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6814(a,1),11115(a,1,1))]. 11128 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(66,a,6881,a,b,11116,a)]. 11129 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(11118(a,1),5098(a,2,2))]. 11130 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(8734(a,1),11126(a,1,1)),flip(a)]. 11131 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(11128(a,1),6311(a,2,2))]. 11133 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6653(a,1),11121(a,1,2))]. 11134 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(66,a,10768,a,b,11119,a)]. 11135 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6127(a,1),11119(a,1,2)),flip(a)]. 11136 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(122,a,5360,a(flip),b,11135,a),flip(a)]. 11137 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(66,a,11134,a(flip),b,11136,a),flip(a)]. 11138 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11137(a,1),138(a,1))]. 11139 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(11112(a,1),7590(a,1,1))]. 11140 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(285,a,5389,a,b,11124,a)]. 11141 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5981(a,1),11117(a,1,1))]. 11142 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(285,a,11111,a(flip),b,11130,a),flip(a)]. 11144 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(7432(a,1),11142(a,1,2))]. 11146 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(7392(a,1),11144(a,1,2)),flip(a)]. 11147 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(7888(a,1),11146(a,1,2))]. 11148 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(66,a,7946,a(flip),b,11147,a)]. 11150 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(11138,a,11139,a)]. 11151 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(285,a,8274,a(flip),b,11123,a),flip(a)]. 11153 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4072,a,11064,a),flip(a)]. 11154 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(9873(a,1),11046(a,1,2)),flip(a)]. 11156 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(9400(a,1),11113(a,1,2))]. 11157 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(66,a,7849,a(flip),b,11129,a)]. 11158 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(30(a,2),11157(a,1,2,2))]. 11159 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(115(a,1),11158(a,1,2,2,1))]. 11161 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(8180(a,1),11131(a,1,1,2))]. 11163 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7954(a,1),10918(a,1,1,2))]. 11164 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5785(a,1),11163(a,1,1,2,2))]. 11165 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7908(a,1),11164(a,1,1,2))]. 11166 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7879(a,1),11165(a,1,1,2)),flip(a)]. 11167 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4495(a,1),11166(a,1,1,2)),flip(a)]. 11168 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8239(a,1),11167(a,1,1)),flip(a)]. 11169 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(11104,a,11168,a),flip(a)]. 11170 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7761(a,1),10924(a,1,1))]. 11171 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5955(a,1),11141(a,1,2))]. 11172 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5981(a,1),11171(a,2,3))]. 11173 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(285,a,7396,a(flip),b,5356,a),flip(a)]. 11174 ((K(x,y) * R(K(y,z),u,w)) \ (v5 * (K(x,y) * R(K(y,z),u,w)))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)) = K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))). [para(10947(a,1),5916(a,1,1,1,2))]. 11175 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6353(a,1),6369(a,1,1,2,1,1)),flip(a)]. 11176 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(14(a,1),11175(a,2,1,2,1))]. 11177 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6353(a,1),11176(a,1,1)),flip(a)]. 11178 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(6756,a,11177,a),flip(a)]. 11179 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * (R(x,y,x) * K(x,u)). [hyper(66,a,9539,a(flip),b,11177,a)]. 11180 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * R(T(x,u),y,x). [para(9085(a,1),11179(a,2,2))]. 11181 T((x / y) * K((L(y,z,u) \ 1) \ (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(8200(a,1),6624(a,1,1,2))]. 11182 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5367(a,1),6771(a,1,1,1))]. 11183 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(32(a,2),11182(a,1,1))]. 11184 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4113(a,1),11183(a,1,2)),flip(a)]. 11185 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(308,a,11184,a),flip(a)]. 11186 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(285,a,7625,a(flip),b,11185,a),flip(a)]. 11187 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(66,a,9926,a,b,11186,a)]. 11188 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(11187(a,1),8589(a,1,1,1)),flip(a)]. 11189 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(285,a,8270,a(flip),b,11188,a),flip(a)]. 11190 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(285,a,8832,a(flip),b,11189,a),flip(a)]. 11191 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9461,a(flip),b,11190,a)]. 11193 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9427,a(flip),b,11191,a)]. 11194 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(10970,a,11193,a),flip(a)]. 11196 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(285,a,9603,a(flip),b,11194,a),flip(a)]. 11197 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(66,a,9666,a,b,11196,a)]. 11199 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(9140,a,7037,a),flip(a)]. 11201 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(285,a,9477,a(flip),b,11199,a),flip(a)]. 11202 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(14(a,1),11201(a,2,2,1,1))]. 11203 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,10619,a(flip),b,11202,a),flip(a)]. 11206 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(4664(a,2),7118(a,1,2,1,2,2))]. 11207 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6793(a,1),7315(a,1,2,2))]. 11208 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(9189(a,1),7536(a,2,2))]. 11209 K(T(x,y) \ 1,z) * K(x \ K(x,y),x * K(y,x)) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(5331(a,1),8282(a,1,2,2))]. 11210 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(5999(a,1),8468(a,1,2,1)),flip(a)]. 11211 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [hyper(285,a,8030,a(flip),b,11210,a)]. 11212 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6005,a(flip),b,11211,a),flip(a)]. 11213 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [hyper(285,a,5721,a,b,11212,a),flip(a)]. 11214 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(4129(a,1),8660(a,1,1))]. 11215 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(9885,a,11214,a)]. 11216 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(285,a,3341,a(flip),b,11215,a),flip(a)]. 11218 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(11216(a,2),9558(a,1))]. 11219 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4228(a,1),8760(a,1,1,1)),flip(a)]. 11220 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4182(a,1),11219(a,2,2,1,2))]. 11221 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(425(a,1),11220(a,2,2))]. 11222 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4228(a,1),11221(a,1,1)),flip(a)]. 11223 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [hyper(285,a,30,a,b,11222,a),flip(a)]. 11224 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(9095(a,1),11223(a,1,1)),flip(a)]. 11225 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [hyper(285,a,8509,a(flip),b,11224,a),flip(a)]. 11227 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(28(a,1),11225(a,1,1,2))]. 11228 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9374(a,1),11225(a,1,1))]. 11229 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [hyper(66,a,11227,a(flip),b,11228,a),flip(a)]. 11230 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [hyper(122,a,11229,a(flip),b,5130,a(flip)),flip(a)]. 11232 K(x,T(x * T(y,z),u * y)) != w | K(x,T(x * T(y,z),u)) = w. [para(11230(a,2),5208(a,1))]. 11233 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7008(a,2),8900(a,2,2,2))]. 11234 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9450(a,1),9449(a,1,2))]. 11235 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5152(a,1),9517(a,1,1))]. 11236 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(647,a,11235,a),flip(a)]. 11237 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11235(a,1),647(a,1))]. 11238 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5516(a,1),11236(a,1,2)),flip(a)]. 11239 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(7940(a,1),9969(a,1,2))]. 11240 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3584(a,1),10221(a,1,2,2))]. 11241 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(9102(a,1),10818(a,2,2))]. 11242 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1426(a,2),11049(a,2,1))]. 11243 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5334(a,1),11074(a,1,1,1))]. 11244 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(17(a,1),11140(a,2,1))]. 11245 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(285,a,7456,a,b,11244,a)]. 11246 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(7396(a,1),11173(a,1,1))]. 11247 T((x / y) * K(L(y,z,u) * (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(9572(a,1),11181(a,1,1,2))]. 11248 T(x / T(y,L(y,z,u) * (y \ x)),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7403(a,1),11247(a,1,1))]. 11249 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = L(x,z,u) \ (x \ (y * L(x,z,u))). [para(7647(a,1),11248(a,1,1))]. 11250 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ (L(x,z,u) \ (y * L(x,z,u))). [hyper(285,a,1255,a(flip),b,11249,a),flip(a)]. 11251 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(27(a,2),11250(a,2,2))]. 11252 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(66,a,10830,a(flip),b,11207,a)]. 11253 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8496(a,1),11252(a,1,2,2))]. 11254 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(66,a,8299,a(flip),b,11253,a),flip(a)]. 11256 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(66,a,7144,a(flip),b,11254,a)]. 11257 K(T(x,y) \ 1,z) * K(T(x \ K(x,y),y),x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8028(a,1),11209(a,1,2))]. 11258 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = K(T(x,y) \ 1,z) * K(x \ 1,x). [para(7763(a,1),11257(a,1,2)),flip(a)]. 11259 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = (x \ K(T(x,y) \ 1,z)) * x. [hyper(285,a,7059,a(flip),b,11258,a),flip(a)]. 11261 T(x \ K(x,y),z) * (x * K(y,x)) = (x \ K(T(x,y) \ 1,z)) * x. [para(5362(a,1),11259(a,1,2))]. 11262 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(285,a,8135,a(flip),b,11233,a),flip(a)]. 11264 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(4596(a,1),11262(a,1,2,2))]. 11265 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(4645(a,1),11264(a,1,2,2))]. 11267 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6585(a,1),11265(a,1,2)),flip(a)]. 11268 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(285,a,11256,a(flip),b,11267,a),flip(a)]. 11270 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(14(a,1),11234(a,1,2,2,2,1))]. 11271 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(11096,a,11270,a),flip(a)]. 11272 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(10955,a,11271,a)]. 11273 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6746,a,b,11272,a)]. 11274 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7940(a,1),11240(a,1,2))]. 11275 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2510(a,1),11243(a,1,1,2)),flip(a)]. 11276 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7401(a,1),11275(a,2,1))]. 11277 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(285,a,10751,a,b,11276,a),flip(a)]. 11278 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2515(a,1),11277(a,1,1,1))]. 11279 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5334(a,1),11278(a,1,1))]. 11280 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(285,a,7940,a,b,11279,a),flip(a)]. 11281 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2229(a,1),11280(a,1,2))]. 11282 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11280(a,2),7953(a,1))]. 11283 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(123,a,11281,a(flip),b,5191,a)]. 11284 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5320(a,1),11246(a,1,2,2,1)),flip(a)]. 11285 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(285,a,11100,a(flip),b,11284,a),flip(a)]. 11286 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(7409,a,11285,a)]. 11288 (1 / x) / (y \ T(1 / x,z)) = (x \ 1) / (y \ T(x \ 1,z)). [hyper(4796,a,6277,a),flip(a)]. 11290 (1 / x) / (((x \ 1) / (y * (x \ 1))) \ T(1 / x,y)) = (x \ 1) / ((x \ 1) * y). [para(7288(a,1),11288(a,2,2))]. 11291 (1 / x) / ((1 / x) * y) = (x \ 1) / ((x \ 1) * y). [para(7356(a,1),11290(a,1,2))]. 11292 (x \ 1) / ((x \ 1) * (x * y)) = (1 / x) / L(y,x,x \ 1). [para(2951(a,1),11291(a,1,2)),flip(a)]. 11293 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(66,a,2120,a(flip),b,7282,a),flip(a)]. 11295 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11293(a,1,1,2,1,2))]. 11296 K(x,y) * (K(y \ 1,y) * ((T(y,x) * (1 / y)) * z)) = L(z,((T(y,x) \ 1) * y) \ 1,(T(y,x) \ 1) * y). [hyper(285,a,5801,a,b,7555,a)]. 11297 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = L(z,T(x,y) * (1 / x),(T(x,y) \ 1) * x). [para(7554(a,1),7555(a,1,2)),flip(a)]. 11298 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6767(a,1),8517(a,1,2))]. 11299 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(66,a,8028,a(flip),b,11298,a)]. 11300 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(404(a,1),11299(a,2,1,1))]. 11301 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(66,a,8251,a(flip),b,11300,a)]. 11302 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(10942,a,11301,a),flip(a)]. 11303 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(285,a,8924,a(flip),b,11302,a),flip(a)]. 11305 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7487,a,9423,a),flip(a)]. 11306 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5381(a,1),11305(a,1,2)),flip(a)]. 11307 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8463(a,1),4962(a,1,2,1,2))]. 11308 K(x \ (1 / y),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(7688(a,1),5886(a,1,1))]. 11309 K(x \ (y \ 1),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(6697(a,1),11308(a,1,1))]. 11310 K(x \ (y \ 1),x) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4060(a,1),11309(a,1,1))]. 11311 K(x \ (y \ 1),x) / (x * (x \ (1 / y))) = 1 / (x * ((1 / y) / x)). [para(4855(a,1),11310(a,1,2))]. 11312 K(x \ (y \ 1),x) / (1 / y) = 1 / (x * ((1 / y) / x)). [para(15(a,1),11311(a,1,2))]. 11314 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),1 / (x * y)). [hyper(66,a,153,a(flip),b,6156,a),flip(a)]. 11316 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),(x * y) \ 1). [para(3645(a,1),11314(a,2,2))]. 11317 1 / L(x,y * K(x,y),(x * y) \ 1) = a((x * y) \ 1,y,x) / x. [para(10251(a,1),11316(a,1,1)),flip(a)]. 11318 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(15(a,1),6186(a,1,2,1,1,2)),flip(a)]. 11319 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6496(a,1),11318(a,2,2))]. 11320 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6482(a,1),11319(a,2,2))]. 11321 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5146(a,1),11320(a,1,1))]. 11323 (x * (T(y \ 1,z) * y)) \ ((T(y \ 1,z) * y) * x) = K(K(y \ 1,z),K(y \ 1,y) * x). [para(6229(a,1),6227(a,1,1))]. 11324 K(K(x \ 1,y),K(x \ 1,x) * z) = K(T(x \ 1,y) * x,z). [hyper(310,a,11323,a),flip(a)]. 11326 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(T(y \ 1,x) * y,z). [hyper(66,a,7883,a(flip),b,11324,a)]. 11327 K(T(x \ 1,y) * x,z) = K(y,K(x \ 1,z)). [para(3121(a,1),11326(a,1,2)),flip(a)]. 11328 K(T(x \ 1,y) * x,z) = K(y,K(z,x \ 1)). [hyper(285,a,7908,a,b,11327,a),flip(a)]. 11331 (T(x \ 1,y) * x) * K(y,K(z,x \ 1)) = T(T(x \ 1,y) * x,z). [hyper(124,a,11328,a(flip),b,5125,a(flip))]. 11332 ((T(x \ 1,y) * x) * z) \ (z * (T(x \ 1,y) * x)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(6229(a,1),6228(a,1,2))]. 11333 K(K(x \ 1,x) * y,K(x \ 1,z)) = K(y,T(x \ 1,z) * x). [hyper(310,a,11332,a),flip(a)]. 11335 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(z,T(y \ 1,x) * y). [hyper(66,a,7859,a,b,11333,a)]. 11336 K(x,T(y \ 1,z) * y) = K(z,K(y \ 1,x)). [para(3121(a,1),11335(a,1,2)),flip(a)]. 11337 K(x,T(y \ 1,z) * y) = K(z,K(x,y \ 1)). [hyper(285,a,7908,a,b,11336,a),flip(a)]. 11340 (T(x \ 1,y) * x) * K(z,T(x \ 1,y) * x) = T(T(x \ 1,y) * x,z). [para(11337(a,2),11331(a,1,2))]. 11341 (x * (T(y \ 1,z) * y)) / x = T(T(y \ 1,z) * y,x). [hyper(5409,a,11340,a)]. 11342 T(x \ K(x,y),z) * ((y * x) / y) = T(T(x \ 1,z) * x,y). [hyper(66,a,7063,a,b,11341,a)]. 11343 T(x \ K(x,y),z) * (x * K(y,x)) = T(T(x \ 1,z) * x,y). [hyper(66,a,5370,a(flip),b,11342,a)]. 11344 (x \ K(T(x,y) \ 1,z)) * x = T(T(x \ 1,z) * x,y). [hyper(66,a,11261,a(flip),b,11343,a)]. 11345 T(T(x \ 1,y),K(y,z)) * x = T(T(x \ 1,y) * x,z). [hyper(9809,a,11344,a)]. 11346 T(T(x \ 1,x) * x,y) = T(x \ 1,x) * x. [para(1385(a,1),11345(a,1,1)),flip(a)]. 11347 x / (T(y \ 1,y) * y) = (T(y \ 1,y) * y) \ x. [para(11346(a,1),249(a,1,2))]. 11348 K((T((x \ y) \ 1,x \ y) * (x \ y)) \ (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(11347(a,1),9904(a,1,1))]. 11349 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(14(a,1),6454(a,2,2,2,1))]. 11350 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(123,a,11161,a(flip),b,11349,a)]. 11352 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(7399(a,1),11350(a,2,2,1))]. 11353 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(285,a,11099,a(flip),b,11352,a),flip(a)]. 11355 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(11111(a,1),11353(a,2,2))]. 11356 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3747,a,11355,a)]. 11357 T(x,a(y,z,K(x,u))) = x. [hyper(250,a,11356,a)]. 11358 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11357(a,1),7682(a,1,2,2)),flip(a)]. 11359 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(285,a,11137,a,b,11358,a)]. 11360 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11359(a,2),46(a,1))]. 11361 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1080(a,1),7244(a,2,1))]. 11362 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(66,a,11361,a(flip),b,7245,a),flip(a)]. 11363 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1080(a,1),11362(a,1,1)),flip(a)]. 11364 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(7533(a,1),7543(a,1,1,1))]. 11365 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(285,a,8100,a(flip),b,9037,a),flip(a)]. 11366 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(285,a,6918,a(flip),b,11365,a),flip(a)]. 11367 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(90(a,1),11366(a,1,1,1)),flip(a)]. 11368 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11367,a),flip(a)]. 11369 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(9073(a,1),11368(a,1,2)),flip(a)]. 11370 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11369,a),flip(a)]. 11371 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(285,a,6404,a(flip),b,9146,a),flip(a)]. 11372 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(14(a,1),11371(a,2,2))]. 11373 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6548,a,11372,a)]. 11374 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(14(a,1),11373(a,1,2))]. 11375 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(66,a,9050,a(flip),b,11374,a)]. 11376 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(103(a,1),9698(a,1,2)),flip(a)]. 11377 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(285,a,442,a(flip),b,11376,a)]. 11378 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(11000,a,10814,a)]. 11379 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(66,a,10324,a(flip),b,11378,a)]. 11380 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [hyper(66,a,6632,a(flip),b,11379,a),flip(a)]. 11381 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K((x \ 1) \ 1,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(3341(a,2),11206(a,1,2,1,2,2))]. 11382 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,7147,a(flip),b,11273,a)]. 11383 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7940(a,1),11283(a,1,1))]. 11384 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5618(a,1),11307(a,1,2,1)),flip(a)]. 11385 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4566(a,1),11384(a,1,2))]. 11387 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(66,a,7065,a,b,11385,a)]. 11389 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(285,a,5615,a(flip),b,11387,a),flip(a)]. 11390 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(66,a,9777,a(flip),b,11389,a)]. 11391 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(124,a,11390,a(flip),b,5125,a(flip))]. 11392 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(6375,a,11391,a)]. 11393 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5452,a,11392,a)]. 11394 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10214(a,2),11393(a,1,2))]. 11395 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(7499,a,11394,a)]. 11396 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(7409,a,11395,a)]. 11397 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(66,a,6346,a(flip),b,11396,a)]. 11398 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(16(a,1),11397(a,1,2,1,2)),flip(a)]. 11399 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(16(a,1),11398(a,1,2)),flip(a)]. 11400 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(66,a,7291,a(flip),b,11399,a),flip(a)]. 11401 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(17(a,1),11400(a,2,2,1))]. 11402 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(11400(a,2),7941(a,1,2))]. 11403 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(118(a,1),11401(a,2,1))]. 11404 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6166(a,1),11403(a,1,1,2))]. 11405 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(9407(a,1),11404(a,1,1))]. 11406 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(630,a,11405,a),flip(a)]. 11407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(285,a,8540,a(flip),b,11402,a),flip(a)]. 11408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(285,a,8404,a(flip),b,11407,a),flip(a)]. 11409 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6695,a(flip),b,11382,a)]. 11410 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(8452,a,11409,a)]. 11411 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(242(a,1),11410(a,1,1))]. 11412 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(6657,a,11411,a)]. 11414 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(66,a,8162,a(flip),b,11412,a)]. 11415 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(14(a,1),11414(a,1,2,2))]. 11416 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(11000,a,11415,a)]. 11417 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(66,a,8752,a(flip),b,11416,a)]. 11418 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(285,a,10858,a(flip),b,11417,a),flip(a)]. 11419 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(14(a,1),11418(a,1,2,1,1)),flip(a)]. 11420 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4197(a,1),11419(a,1,2,1)),flip(a)]. 11421 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(66,a,10404,a(flip),b,11420,a),flip(a)]. 11422 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(66,a,10860,a(flip),b,11421,a),flip(a)]. 11423 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,11422,a),flip(a)]. 11424 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(66,a,8643,a(flip),b,11423,a)]. 11426 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11424(a,2),10956(a,1))]. 11428 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5219(a,1),6159(a,1,2))]. 11429 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11428(a,1),10519(a,1,2,2))]. 11430 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(6711(a,1),6830(a,1,1,2))]. 11431 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(285,a,7393,a(flip),b,6832,a),flip(a)]. 11432 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(285,a,11030,a(flip),b,11431,a),flip(a)]. 11433 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(7285(a,1),7295(a,2,2,1,1))]. 11434 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(285,a,2570,a(flip),b,11433,a),flip(a)]. 11435 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1635(a,1),11434(a,2,1))]. 11436 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4113(a,1),11435(a,1,1,2,1))]. 11437 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4128(a,1),11436(a,1,1))]. 11438 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9078(a,1),11437(a,1,1)),flip(a)]. 11439 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(5008(a,1),8808(a,2,1,1))]. 11440 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(216(a,1),9410(a,1,1)),flip(a)]. 11441 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7940(a,1),11440(a,2,1,1))]. 11442 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(285,a,30,a,b,11441,a),flip(a)]. 11443 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11073,a(flip),b,11442,a),flip(a)]. 11445 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10801(a,1),9459(a,1,1,2))]. 11446 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(10902(a,1),11445(a,1,1))]. 11447 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(32(a,2),11446(a,1,2))]. 11448 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(255(a,1),11447(a,1,2,1))]. 11449 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,10527,a(flip),b,11448,a)]. 11450 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = K(z,y) * (K(y,z) * x). [para(5417(a,1),11296(a,1,2)),flip(a)]. 11451 L(x,K(y,z),K(z,y)) = L(x,((T(u,w) \ 1) * u) \ 1,(T(u,w) \ 1) * u) # label(flip_matches_hint). [hyper(285,a,5461,a,b,11450,a)]. 11453 L(x,K(y,z),K(z,y)) = L(x,T(u,w) * (1 / u),(T(u,w) \ 1) * u) # label(flip_matches_hint). [para(7554(a,1),11451(a,2,2))]. 11454 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = x. [hyper(5366,a,11453,a),flip(a)]. 11455 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = z. [hyper(66,a,11297,a,b,11454,a)]. 11456 (T(x,y) * (1 / x)) \ z = ((T(x,y) \ 1) * x) * z. [hyper(303,a,11455,a),flip(a)]. 11458 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(14(a,1),11306(a,2,1,1))]. 11459 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(285,a,9836,a(flip),b,11458,a),flip(a)]. 11461 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(14(a,1),11459(a,1,1,1))]. 11462 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(14(a,1),11461(a,1,2,2))]. 11463 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5981(a,1),11462(a,1,2,1,3))]. 11464 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(90(a,1),11430(a,1,1,2,1,2,1))]. 11465 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(9933(a,1),11439(a,2,1,1))]. 11466 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5144(a,1),11465(a,2,1))]. 11468 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9781(a,1),11466(a,1,2,1))]. 11469 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9774(a,1),11468(a,1,2,1))]. 11470 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(86(a,1),11469(a,1,2,1,2,1))]. 11471 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4784(a,1),4882(a,1,1,2))]. 11472 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5334(a,1),6266(a,1,1,2))]. 11473 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = K((z * y) \ x,x \ (z * y)). [hyper(285,a,5964,a(flip),b,7054,a),flip(a)]. 11474 K((x / y) / z,z / (x / y)) = K((z * y) \ x,x \ (z * y)). [hyper(5778,a,11473,a)]. 11475 K((x * y) \ z,z \ (x * y)) = K(x \ (z / y),(z / y) \ x). [hyper(8069,a,11474,a),flip(a)]. 11476 K(x \ (1 / y),(1 / y) \ x) = K(y \ (x \ 1),x * y). [hyper(66,a,10784,a(flip),b,11475,a),flip(a)]. 11477 (1 / x) * (1 / (1 / ((1 / x) \ y))) = y * K(x \ (y \ 1),y * x). [para(11476(a,1),2627(a,1,2)),flip(a)]. 11478 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(x \ ((y / x) \ 1),y). [para(17(a,1),11477(a,2,2,2))]. 11479 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(y \ 1,y). [para(10783(a,1),11478(a,2,2))]. 11480 x \ (1 / (1 / (x * (y / x)))) = (y / x) * K(y \ 1,y). [hyper(66,a,7306,a(flip),b,11479,a)]. 11482 x * (K(y \ 1,y) * (y / x)) = 1 / (1 / (x * (y / x))). [hyper(2418,a,11480,a)]. 11483 1 / (1 / (x * (y / x))) = x * ((1 / (1 / y)) / x). [para(3719(a,1),11482(a,1,2)),flip(a)]. 11484 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [hyper(11232,a,8856,a)]. 11485 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6629,a(flip),b,11484,a),flip(a)]. 11486 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7643(a,1),11485(a,1,2,2,2))]. 11487 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7639(a,1),11486(a,1,2))]. 11489 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),9489(a,1,1,2))]. 11490 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(285,a,9086,a(flip),b,10525,a),flip(a)]. 11492 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(285,a,10524,a(flip),b,11490,a),flip(a)]. 11494 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5133(a,1),10795(a,2,2,1))]. 11497 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(11494(a,2),6558(a,1))]. 11498 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(285,a,3341,a(flip),b,11239,a),flip(a)]. 11499 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(285,a,7693,a(flip),b,11498,a),flip(a)]. 11500 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(285,a,7196,a(flip),b,11499,a),flip(a)]. 11501 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(7940(a,1),11500(a,1,2))]. 11502 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4885,a,11471,a)]. 11503 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(10900(a,1),11472(a,1,1))]. 11504 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),11489(a,1,1,2,1))]. 11505 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(5015,a,11502,a),flip(a)]. 11506 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3654,a,11505,a),flip(a)]. 11508 a(x,y,1 / z) = a(x,y,z \ 1). [para(1103(a,1),11506(a,1,3)),flip(a)]. 11510 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11504(a,1,1))]. 11511 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11510(a,1,1,2))]. 11512 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(9289(a,1),11511(a,1,1,2,2))]. 11513 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(7563,a,11512,a),flip(a)]. 11514 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(285,a,6897,a(flip),b,11513,a),flip(a)]. 11515 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(66,a,9656,a(flip),b,11514,a),flip(a)]. 11516 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),6869(a,1,1,2))]. 11517 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),11516(a,1,2,1))]. 11518 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(23(a,2),11517(a,2,1,2))]. 11519 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5785(a,2),9368(a,1,1,1,2))]. 11520 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(10335(a,1),10764(a,1,1,1,2)),flip(a)]. 11521 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(285,a,10761,a(flip),b,11520,a),flip(a)]. 11523 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(285,a,7968,a,b,11521,a),flip(a)]. 11524 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),11521(a,1,2,2)),flip(a)]. 11525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(112(a,1),11521(a,1,2,2))]. 11526 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(66,a,8449,a,b,11524,a)]. 11528 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(66,a,9520,a(flip),b,11526,a),flip(a)]. 11529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(66,a,10440,a,b,11525,a)]. 11530 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K((x \ y) \ 1,T(z,(y / x) * u)). [para(5745(a,1),11525(a,1,2))]. 11531 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(118(a,1),11529(a,1,2)),flip(a)]. 11532 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8234,a,11523,a)]. 11533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(15(a,1),11532(a,1,2,2)),flip(a)]. 11534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(112(a,1),11532(a,1,2,2))]. 11535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10120,a,b,11533,a)]. 11536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(90(a,1),11535(a,1,2,2)),flip(a)]. 11537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10118,a(flip),b,11536,a),flip(a)]. 11538 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(11537(a,1),10149(a,1,2))]. 11539 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(66,a,7881,a,b,11534,a)]. 11540 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(285,a,7881,a,b,11539,a),flip(a)]. 11541 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(285,a,7935,a(flip),b,11539,a),flip(a)]. 11542 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(11541(a,1),8478(a,1,1,1,1))]. 11543 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(8277(a,2),11540(a,1,2))]. 11545 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(118(a,1),11528(a,1,2)),flip(a)]. 11546 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(66,a,8224,a(flip),b,11545,a)]. 11547 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(66,a,9536,a(flip),b,11546,a)]. 11548 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(112(a,1),11547(a,1,2,2)),flip(a)]. 11549 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7884(a,1),11538(a,1,2))]. 11551 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(10078(a,1),11549(a,2,1))]. 11552 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K(y \ x,T(z,(y / x) * u)). [hyper(285,a,6468,a(flip),b,11530,a),flip(a)]. 11553 K(x \ y,T(z,(x / y) * u)) = K((y \ x) \ 1,T(z,u)). [hyper(66,a,10147,a(flip),b,11552,a),flip(a)]. 11555 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u)). [hyper(285,a,6468,a(flip),b,11553,a),flip(a)]. 11556 K(x \ y,T(z,u * (x / y))) = K(x \ y,T(z,u)). [hyper(66,a,9786,a(flip),b,11555,a)]. 11557 K(((x / y) * x) \ (y * (x / y)),T(z,u * (y \ x))) = K(((x / y) * x) \ (y * (x / y)),T(z,u)). [para(4287(a,1),11556(a,1,2,2,2))]. 11558 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(7875(a,1),11542(a,1,1)),flip(a)]. 11559 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(66,a,7101,a,b,11558,a),flip(a)]. 11560 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(285,a,6468,a(flip),b,11559,a),flip(a)]. 11561 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(285,a,9848,a(flip),b,11560,a),flip(a)]. 11562 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(66,a,11558,a,b,11561,a)]. 11563 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(285,a,7772,a(flip),b,11562,a),flip(a)]. 11564 K(((x / y) * x) \ (y * (x / y)),T(z,u)) = K(y / x,T(z,u * (y \ x))). [hyper(11025,a,11557,a),flip(a)]. 11565 K(x / y,T(z,u * (x \ y))) = K(x / y,T(z,u)). [hyper(11025,a,11564,a),flip(a)]. 11566 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10839(a,1,2,1))]. 11567 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(66,a,9200,a(flip),b,11429,a),flip(a)]. 11569 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(66,a,7881,a,b,11567,a)]. 11570 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10499(a,1),11569(a,1,2))]. 11571 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,10496,a(flip),b,11570,a)]. 11572 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(7940(a,1),11519(a,1,1,1))]. 11573 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(10838,a,11566,a),flip(a)]. 11575 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(66,a,9811,a(flip),b,11573,a),flip(a)]. 11576 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(66,a,5064,a,b,11575,a)]. 11577 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(8600(a,1),11576(a,1,1))]. 11578 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [hyper(124,a,11577,a(flip),b,650,a(flip))]. 11579 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(263,a,11578,a),flip(a)]. 11580 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(7952(a,1),11572(a,1,1,1)),flip(a)]. 11581 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(9263(a,1),11580(a,2,2,1))]. 11582 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5785(a,2),11581(a,2,2,1,2))]. 11583 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5785(a,2),11582(a,1,1,1))]. 11584 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7681(a,2),11583(a,1,1))]. 11585 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10145(a,1),11584(a,1,1))]. 11586 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8538(a,1),11585(a,1,2))]. 11587 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(165(a,1),11586(a,1,2,2)),flip(a)]. 11589 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(186(a,1),11587(a,2,2))]. 11590 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(66,a,10732,a,b,11589,a)]. 11591 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(5785(a,1),11590(a,1,1))]. 11592 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6335(a,1),6455(a,2,2,1,1))]. 11593 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5346(a,1),11592(a,2,2,1))]. 11596 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4069(a,1),6610(a,2,1))]. 11597 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(15(a,1),6811(a,2,2,1,2))]. 11598 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(285,a,222,a(flip),b,11597,a),flip(a)]. 11599 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(222(a,1),11598(a,1,2))]. 11600 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5334(a,1),11599(a,1,2,2))]. 11601 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(285,a,2586,a(flip),b,11600,a),flip(a)]. 11602 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4330(a,1),8766(a,2,2,1))]. 11603 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4182(a,1),11602(a,2,2,2,1))]. 11604 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(9095(a,1),11603(a,2,2))]. 11605 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(8150(a,1),11604(a,2,2))]. 11607 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(285,a,5435,a(flip),b,11605,a),flip(a)]. 11609 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4330(a,1),11607(a,1,1))]. 11610 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4330(a,1),11609(a,1,2,2))]. 11611 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4328(a,1),11610(a,1,1))]. 11612 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4328(a,1),11611(a,1,2,2))]. 11613 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(16(a,1),11612(a,2,2))]. 11614 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(7884(a,2),8965(a,1,2,2))]. 11615 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1905(a,1),9838(a,1,1))]. 11616 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(124,a,9541,a(flip),b,11615,a)]. 11617 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11616(a,1),11503(a,1,1))]. 11618 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6265(a,1),11617(a,1,2))]. 11619 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1109,a,11618,a)]. 11620 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(285,a,5334,a(flip),b,11619,a),flip(a)]. 11621 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(66,a,9522,a,b,11620,a)]. 11622 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3248,a,11621,a),flip(a)]. 11623 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(10952,a,11622,a),flip(a)]. 11625 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10942,a,11623,a),flip(a)]. 11628 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(285,a,7977,a(flip),b,11596,a),flip(a)]. 11629 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(285,a,6009,a(flip),b,11628,a),flip(a)]. 11632 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4658(a,1),11629(a,1,1))]. 11633 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(66,a,6009,a(flip),b,11632,a)]. 11636 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(11633(a,1),7113(a,1,2))]. 11637 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(66,a,3675,a(flip),b,11636,a)]. 11639 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(66,a,5989,a(flip),b,11637,a)]. 11640 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8311(a,1),11614(a,1,2,2)),flip(a)]. 11641 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(38,a,7394,a(flip),b,11640,a),flip(a)]. 11643 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8390,a,11641,a)]. 11644 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(7953,a,11643,a)]. 11645 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(11644(a,2),46(a,1))]. 11646 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((K(y \ 1,y) / (x * y)) * ((((x * y) / x) \ 1) \ 1)) \ 1. [para(2451(a,1),4989(a,2,1,2))]. 11647 (x * ((1 / y) * (y / x))) * K(((1 / y) * (y / x)) \ 1,a(1 / y,y / x,x)) = x / (1 / ((1 / y) * (y / x))). [para(2782(a,1),7208(a,1,1))]. 11648 x / (1 / ((1 / y) * (y / x))) = (x * ((1 / y) * (y / x))) * 1. [para(10557(a,1),11647(a,1,2)),flip(a)]. 11649 x / (1 / ((1 / y) * (y / x))) = x * ((1 / y) * (y / x)). [hyper(285,a,13,a(flip),b,11648,a),flip(a)]. 11651 (x * ((1 / y) * (y / x))) \ x = 1 / ((1 / y) * (y / x)). [hyper(180,a,11649,a)]. 11652 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = (((1 / x) * (x / y)) * y) \ y. [para(11651(a,1),4837(a,1,1))]. 11653 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = a(x \ 1,x / y,y) \ y. [para(3938(a,1),11652(a,2,1))]. 11654 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = L(y,x / y,x \ 1). [hyper(285,a,3940,a(flip),b,11653,a),flip(a)]. 11655 R(1 / (a((x * y) \ 1,y,x) / x),(1 / (x * y)) * ((x * y) / x),x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11654(a,1,1,2))]. 11656 R(1 / (a((x * y) \ 1,y,x) / x),a((x * y) \ 1,y,x) / x,x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11655(a,1,2))]. 11657 L(x,(x * y) / x,(x * y) \ 1) = x / a((x * y) \ 1,y,x). [hyper(66,a,369,a(flip),b,11656,a),flip(a)]. 11658 L(x,y * K(x,y),(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(5149(a,1),11657(a,1,2))]. 11659 1 / (x / a((x * y) \ 1,y,x)) = a((x * y) \ 1,y,x) / x. [para(11658(a,1),11317(a,1,2))]. 11660 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(285,a,473,a(flip),b,10329,a),flip(a)]. 11661 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(66,a,1532,a(flip),b,11660,a)]. 11662 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5447(a,1),11661(a,1,1,2,1))]. 11663 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5853(a,1),11662(a,1,1,2,1))]. 11664 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8004(a,1),11663(a,1,1,2,1)),flip(a)]. 11665 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(66,a,4458,a(flip),b,11664,a),flip(a)]. 11667 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11665(a,1),1167(a,2,1,2)),flip(a)]. 11668 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5334(a,1),11667(a,1,1))]. 11669 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9936(a,1),11668(a,1,1))]. 11670 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(297,a,11669,a)]. 11673 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(66,a,6100,a(flip),b,11670,a)]. 11674 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(285,a,7800,a(flip),b,11673,a),flip(a)]. 11676 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(66,a,9999,a(flip),b,11674,a),flip(a)]. 11678 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(285,a,9764,a(flip),b,11676,a),flip(a)]. 11679 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(10974,a,11678,a)]. 11681 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(66,a,9086,a(flip),b,10526,a),flip(a)]. 11683 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(10705(a,1),10709(a,1,2,1)),flip(a)]. 11684 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(10180(a,1),11683(a,2,2))]. 11685 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(9102(a,1),11684(a,2,2,2))]. 11686 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(285,a,6126,a(flip),b,11685,a),flip(a)]. 11688 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(7996(a,1),11686(a,1,1,1))]. 11689 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(10716(a,1),11688(a,1,1)),flip(a)]. 11690 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(285,a,6126,a(flip),b,11689,a),flip(a)]. 11691 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(7761(a,1),11690(a,2,1,1))]. 11692 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(285,a,13,a(flip),b,11691,a),flip(a)]. 11693 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(11692(a,1),9763(a,1,2))]. 11695 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(11693(a,2),6036(a,1))]. 11696 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5320(a,1),11601(a,2,1,2,1))]. 11697 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(11108(a,1),11696(a,2,1))]. 11698 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6032(a,1),11697(a,1,2,2,2,1))]. 11699 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(66,a,11600,a(flip),b,11698,a)]. 11700 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(66,a,11172,a(flip),b,11699,a)]. 11701 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6374(a,1),11700(a,1,3)),flip(a)]. 11702 a(x,y,a(z,u,K(y,w))) = 1. [hyper(56,a,11701,a)]. 11703 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((((x * y) / x) \ 1) \ K(y \ 1,y))) \ 1. [para(4990(a,1),11646(a,2,1))]. 11704 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) * (1 / y)) \ 1)) \ 1. [para(9805(a,1),11703(a,2,1,2))]. 11705 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) / y) \ 1)) \ 1. [para(6518(a,1),11704(a,2,1,2,1))]. 11706 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(6512(a,1),11705(a,2,1,2))]. 11707 L(x,(((x * y) / x) \ 1) \ 1,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(2451(a,1),11706(a,1,2))]. 11708 L(x,(((x * y) / x) \ 1) \ 1,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,5003,a(flip),b,11707,a)]. 11710 L(x,(x * y) / x,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,7072,a(flip),b,11708,a)]. 11711 ((1 / (x * y)) * (y * K(x,y))) \ 1 = x / a((x * y) \ 1,y,x). [hyper(66,a,11657,a(flip),b,11710,a),flip(a)]. 11712 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = x / a((x * y) \ 1,y,x). [para(10259(a,1),11711(a,1,1))]. 11713 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5320(a,1),7542(a,1,1,1,2,1))]. 11714 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(7557(a,1),11713(a,1,1,1))]. 11715 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11286(a,1),11714(a,1,1))]. 11716 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(11108(a,1),11715(a,1,1,2))]. 11717 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5320(a,1),11716(a,1,3,1))]. 11718 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(11041,a,11717,a),flip(a)]. 11720 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11718(a,1,2,1))]. 11721 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11720(a,1,2,2,1))]. 11722 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(11109(a,1),11721(a,1,2))]. 11723 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(180,a,11722,a)]. 11724 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(66,a,5202,a(flip),b,11722,a),flip(a)]. 11725 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(11722(a,1),307(a,1,1)),flip(b)]. 11727 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(278(a,1),11725(a,1))]. 11728 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3064(a,1),8865(a,2,1,2))]. 11729 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(616(a,1),11728(a,1,1,2,2))]. 11730 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3104(a,1),11729(a,1,1,2))]. 11731 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,6710,a(flip),b,11730,a),flip(a)]. 11732 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(112(a,1),9616(a,2,1))]. 11733 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [hyper(285,a,23,a,b,11732,a),flip(a)]. 11734 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [hyper(66,a,9276,a(flip),b,11733,a),flip(a)]. 11736 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(5101(a,1),11734(a,1,3))]. 11737 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9202(a,1),9993(a,1,1,2))]. 11738 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(11027(a,1),10254(a,1,1))]. 11739 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(6322(a,1),11738(a,1,2))]. 11741 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1633(a,1),11739(a,1,2))]. 11742 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(648,a,11741,a)]. 11743 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(647,a,11741,a),flip(a)]. 11744 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11741(a,1),647(a,1))]. 11745 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(122,a,9826,a,b,11742,a)]. 11746 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(66,a,10185,a,b,11743,a)]. 11747 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(11743(a,1),7030(a,1,1)),flip(a)]. 11748 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(11743(a,1),9578(a,1,2)),flip(a)]. 11749 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4529(a,1),11747(a,2,1))]. 11751 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(11746(a,1),7406(a,1,1))]. 11752 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(11746(a,1),8477(a,1,1)),flip(a)]. 11753 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(17(a,1),11751(a,1,2,2))]. 11754 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5635,a,11748,a)]. 11755 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,989,a(flip),b,11754,a)]. 11756 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(66,a,9920,a(flip),b,11755,a),flip(a)]. 11757 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(66,a,11551,a(flip),b,11752,a),flip(a)]. 11758 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(11047,a,11757,a)]. 11759 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(11744,a,11745,a)]. 11760 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4632,a(flip),b,11759,a),flip(a)]. 11761 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4530,a,11760,a)]. 11762 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9826(a,1),11749(a,1,1))]. 11763 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(11761(a,1),11762(a,2,1))]. 11764 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(66,a,11747,a(flip),b,11763,a)]. 11765 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11237,a,11756,a)]. 11768 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9986(a,1),11765(a,2,2,2))]. 11769 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(15(a,1),11768(a,2,2,2,1))]. 11770 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(14(a,1),11769(a,2,2))]. 11772 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(285,a,11743,a(flip),b,11770,a),flip(a)]. 11773 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4530,a,11772,a),flip(a)]. 11774 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(66,a,11238,a(flip),b,11772,a),flip(a)]. 11777 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(11027(a,1),11034(a,1,1,2,1,1)),flip(a)]. 11778 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(14(a,1),11777(a,2,1,2,1))]. 11780 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(11027(a,1),11778(a,1,1)),flip(a)]. 11781 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2239(a,1),11780(a,2,2))]. 11782 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(66,a,11101,a,b,11781,a)]. 11783 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(11781(a,1),11364(a,1,1))]. 11784 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11782,a),flip(a)]. 11785 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5446(a,1),11783(a,1,1,2))]. 11786 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(11045,a,11785,a),flip(a)]. 11787 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4701,a,11786,a)]. 11789 K(x,a(K(y,z),u,u \ 1)) = 1. [para(11787(a,1),10350(a,1,2))]. 11790 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(59,a,11789,a)]. 11791 T(x,a(K(y,z),u \ 1,u)) = x. [para(3671(a,1),11790(a,1,2))]. 11792 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(57,a,11791,a)]. 11793 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(285,a,3652,a,b,11792,a),flip(a)]. 11794 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5450(a,2),11793(a,1,1))]. 11795 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(66,a,9751,a,b,11794,a)]. 11796 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(66,a,7711,a,b,11795,a)]. 11797 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4864(a,1),11295(a,1,1))]. 11799 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11797(a,1,2,1,2))]. 11800 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2987,a,11799,a)]. 11801 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(285,a,6294,a,b,11800,a)]. 11802 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2193,a,11801,a)]. 11803 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(285,a,8847,a(flip),b,11802,a),flip(a)]. 11805 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11802(a,1),240(a,1,2)),flip(b)]. 11806 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11803(a,1),8854(a,1,1,2))]. 11807 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),11806(a,1,2,1))]. 11808 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(14(a,1),11737(a,1,1)),flip(a)]. 11809 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(285,a,7428,a(flip),b,11808,a),flip(a)]. 11811 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(7428(a,1),11809(a,1,1,2))]. 11812 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(9571(a,1),11811(a,1,1))]. 11814 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(11812(a,1),10911(a,1,1))]. 11815 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(16(a,1),11814(a,1,1,1)),flip(a)]. 11816 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(285,a,7392,a(flip),b,11815,a),flip(a)]. 11818 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(11816(a,1),476(a,1,1)),flip(a)]. 11819 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [hyper(122,a,11818,a(flip),b,646,a)]. 11820 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(306,a,11819,a),flip(a)]. 11822 a(x,L(y,z,u),K(w,y)) = 1. [hyper(66,a,11148,a(flip),b,11820,a)]. 11823 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(55,a,11822,a)]. 11825 K(L(x \ L(y,z,u),x,w),y) = K(x \ L(y,z,u),y). [hyper(66,a,6654,a(flip),b,11823,a)]. 11826 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11823(a,1),7559(a,1,1,2)),flip(a)]. 11827 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(T(z,x * y),u,w),T(z,x * y)). [hyper(66,a,10670,a,b,11825,a)]. 11828 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,7400,a(flip),b,11826,a),flip(a)]. 11829 K(x,((L(x,y,z) \ 1) * u) \ 1) = K(x,u \ L(x,y,z)). [hyper(66,a,7203,a(flip),b,11828,a)]. 11830 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(66,a,6636,a(flip),b,11828,a),flip(a)]. 11831 (1 / L(x,y,z)) \ K(x,u) = L(x,y,z) * K(x,u). [hyper(122,a,11828,a(flip),b,2951,a)]. 11833 L(x \ y,x,1 / y) * K(x \ y,z) = ((1 / y) * x) \ K(x \ y,z). [para(561(a,1),11831(a,1,1)),flip(a)]. 11834 K(x,y \ L(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10627,a(flip),b,11829,a),flip(a)]. 11835 K(x,y \ L(x,z \ 1,z)) = K(x,y \ x). [para(2969(a,1),11834(a,1,2,2))]. 11836 K(x,y \ ((1 / (z / x)) * z)) = K(x,y \ x). [para(2962(a,1),11834(a,1,2,2))]. 11837 K(x,y \ (((z / x) \ 1) * z)) = K(x,y \ x). [hyper(66,a,7198,a(flip),b,11836,a)]. 11838 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ x). [hyper(66,a,9748,a,b,11837,a)]. 11840 (((1 / x) * y) \ 1) * K(y \ x,z) = ((1 / x) * y) \ K(y \ x,z). [para(455(a,1),11833(a,1,1))]. 11841 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(10360(a,1),8899(a,1,1))]. 11843 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(11370(a,1),11841(a,1,1))]. 11844 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1782(a,2),11843(a,1,2))]. 11845 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(5315(a,1),11844(a,1,2,1))]. 11846 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(6279(a,1),11845(a,1,2,1,2))]. 11847 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(6142(a,2),11846(a,2,1))]. 11849 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(11073(a,1),9243(a,1,1))]. 11850 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(9235(a,1),11849(a,1,2,2)),flip(a)]. 11852 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(6311(a,1),11850(a,2,2))]. 11853 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(9235(a,1),11852(a,1,2,2)),flip(a)]. 11854 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8173(a,1),11853(a,2,2))]. 11855 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(285,a,10188,a(flip),b,11854,a),flip(a)]. 11856 K(x,x \ y) * K(y,x) = a(x,y / x,x). [hyper(66,a,4268,a(flip),b,11854,a),flip(a)]. 11857 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(66,a,2364,a(flip),b,11854,a),flip(a)]. 11859 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(2236,a,11856,a)]. 11860 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(66,a,9378,a,b,11859,a)]. 11861 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(16(a,1),11860(a,1,2,1,2)),flip(a)]. 11862 (x * y) \ T(y * x,y) = a(y,x,y). [para(16(a,1),11861(a,1,2)),flip(a)]. 11863 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5316(a,1),11857(a,1,1))]. 11864 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(9816(a,1),11863(a,1,2)),flip(a)]. 11865 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(285,a,9821,a(flip),b,11864,a),flip(a)]. 11866 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1571(a,1),11855(a,1,2))]. 11867 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(647,a,11866,a),flip(a)]. 11869 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(10256,a,11867,a)]. 11870 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [hyper(124,a,11867,a(flip),b,5526,a),flip(a)]. 11871 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10600(a,1),11867(a,1,2))]. 11872 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5452,a,11869,a)]. 11873 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(11869(a,1),11153(a,1,1)),flip(a)]. 11874 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(11869(a,1),11432(a,2,2))]. 11875 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(122,a,10569,a(flip),b,11870,a(flip))]. 11876 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(66,a,11875,a(flip),b,11871,a),flip(a)]. 11878 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(66,a,11865,a(flip),b,11876,a)]. 11880 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11878(a,1),10544(a,1,1))]. 11881 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6457(a,1),11874(a,1,1))]. 11882 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6826(a,1),11881(a,1,2))]. 11883 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(66,a,11093,a(flip),b,11882,a)]. 11884 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10150(a,1),11883(a,1,2))]. 11885 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),5227(a,2,2,1,1,1))]. 11886 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),11885(a,1,1))]. 11887 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5853(a,1),11886(a,1,2,1))]. 11888 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5334(a,1),11887(a,1,2,2))]. 11889 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5334(a,1),11888(a,2,2,1,2))]. 11890 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(8851(a,2),11889(a,2,1))]. 11891 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9099(a,1),11890(a,1,2,2))]. 11892 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6337(a,1),11891(a,1,2))]. 11893 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9137(a,1),11892(a,1,2,2)),flip(a)]. 11894 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(285,a,14,a(flip),b,11893,a),flip(a)]. 11896 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(8851(a,1),11894(a,1,1))]. 11897 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9099(a,1),11896(a,1,2,1,2))]. 11898 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9219(a,1),11897(a,1,2,1))]. 11899 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(38,a,5045,a,b,11898,a)]. 11901 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(665(a,1),11899(a,1,2))]. 11902 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(66,a,6223,a(flip),b,11901,a)]. 11903 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7761(a,1),11902(a,1,2))]. 11904 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(11902(a,1),11058(a,1,2))]. 11905 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(11903(a,1),6311(a,1,1)),flip(a)]. 11906 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(285,a,5045,a(flip),b,11905,a),flip(a)]. 11907 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8749(a,1),11906(a,1,2))]. 11908 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7803(a,2),11907(a,1,1))]. 11909 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6051,a(flip),b,5735,a),flip(a)]. 11911 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,6224,a(flip),b,11909,a)]. 11912 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6970,a(flip),b,11911,a)]. 11913 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(16(a,1),11912(a,1,2,1))]. 11914 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,9284,a(flip),b,11913,a)]. 11915 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(285,a,8265,a(flip),b,11914,a),flip(a)]. 11916 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(8878(a,1),9265(a,2,2))]. 11917 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(78(a,1),11916(a,2,2,2,1))]. 11918 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4220(a,1),11917(a,2,2))]. 11919 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4084(a,1),11918(a,1,2,1))]. 11920 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(11918(a,1),7561(a,1,1,2)),flip(a)]. 11921 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(9772(a,1),11919(a,1,2)),flip(a)]. 11922 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(78(a,1),11921(a,2,2,2,1))]. 11923 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(7994(a,1),11922(a,2,2))]. 11924 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(5852(a,1),11923(a,2,2))]. 11925 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(285,a,9234,a(flip),b,11924,a),flip(a)]. 11926 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),9549(a,1,2,1))]. 11927 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),11926(a,1,2,2,1,1))]. 11928 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(830(a,1),11927(a,1,2))]. 11929 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9635(a,1),11928(a,1,2))]. 11930 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(6179,a,11929,a),flip(a)]. 11932 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3341(a,1),11930(a,2,1))]. 11933 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6238(a,1),11932(a,1,1))]. 11934 R(K(x,y),K(y,z),u) = K(x,y). [hyper(869,a,11933,a)]. 11935 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(14(a,1),11933(a,1,2))]. 11937 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(11934(a,1),2570(a,1,1)),flip(a)]. 11939 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(224,a,11935,a,b,15,a),flip(a)]. 11940 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(123,a,10740,a(flip),b,11935,a)]. 11941 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(123,a,11935,a(flip),b,5191,a)]. 11942 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2229(a,2),11935(a,1,1))]. 11943 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(8549(a,1),11935(a,1,1)),flip(a)]. 11944 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5106(a,1),11940(a,1,1))]. 11945 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(285,a,10745,a,b,11942,a),flip(a)]. 11946 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5360(a,1),11942(a,2,2))]. 11947 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,11945,a)]. 11948 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(224,a,11945,a,b,15,a),flip(a)]. 11952 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(285,a,4200,a(flip),b,11947,a),flip(a)]. 11953 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11443,a(flip),b,11947,a),flip(a)]. 11958 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7687(a,1),11947(a,1,2))]. 11960 L(x,K(y,z),K(u,K(z,w))) = x. [para(7881(a,1),11947(a,1,3))]. 11961 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(11947(a,1),11054(a,1,1,1)),flip(a)]. 11962 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1176,a,11958,a),flip(a)]. 11963 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1176,a,11960,a),flip(a)]. 11964 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(11952(a,1),10568(a,1,2,3))]. 11965 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,11449,a(flip),b,11964,a),flip(a)]. 11966 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(122,a,5360,a(flip),b,11946,a)]. 11967 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5726,a,11953,a)]. 11969 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7940(a,1),11953(a,1,1))]. 11970 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(2229(a,1),11966(a,1,1))]. 11971 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(285,a,5130,a(flip),b,11967,a)]. 11972 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11953,a(flip),b,11967,a)]. 11973 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10571(a,1),11969(a,1,1,2)),flip(a)]. 11974 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(285,a,11942,a,b,11970,a),flip(a)]. 11975 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(285,a,5150,a(flip),b,11972,a),flip(a)]. 11976 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11972(a,1),4577(a,1,2))]. 11977 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(11972(a,1),5207(a,1))]. 11978 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(66,a,11154,a(flip),b,11948,a)]. 11979 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5360(a,1),11948(a,1,2,2)),flip(a)]. 11980 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5190(a,1),11971(a,2,1)),flip(a)]. 11981 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(66,a,11758,a(flip),b,11978,a),flip(a)]. 11982 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2229(a,1),11961(a,1,2,2))]. 11983 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11963(a,2),847(a,1,2))]. 11984 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(66,a,10765,a(flip),b,11980,a)]. 11985 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(11982(a,1),7436(a,1,1))]. 11986 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5900,a,11984,a)]. 11987 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(66,a,10767,a,b,11986,a)]. 11988 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(11986(a,2),5303(a,2,2)),flip(a)]. 11989 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8307(a,1),11986(a,1,1))]. 11990 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(200(a,2),11944(a,1,2,2,2))]. 11991 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(10228(a,1),11973(a,2,1))]. 11992 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11953,a(flip),b,11991,a),flip(a)]. 11993 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10571(a,1),11992(a,1,2,2))]. 11994 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(285,a,11972,a,b,11993,a)]. 11995 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(11066,a,11941,a)]. 11996 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7500(a,1),11985(a,1,1,1)),flip(a)]. 11997 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11969(a,1),11996(a,2,1))]. 11998 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(285,a,5119,a,b,11997,a),flip(a)]. 11999 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5334(a,1),11998(a,1,2))]. 12000 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7881(a,1),11987(a,1,2,2,2))]. 12001 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8307(a,1),11989(a,1,2)),flip(a)]. 12002 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(285,a,11986,a(flip),b,12001,a),flip(a)]. 12005 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7702(a,1),12002(a,1,1)),flip(a)]. 12006 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11282,a,11995,a)]. 12007 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7942(a,1),12006(a,1,1)),flip(a)]. 12008 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(285,a,11967,a(flip),b,12007,a),flip(a)]. 12009 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(11977,a,12008,a(flip)),flip(a)]. 12010 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2229(a,2),12008(a,1,2,1))]. 12011 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(37,a,5130,a(flip),b,12010,a),flip(a)]. 12012 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12010(a,1),11975(a,1,1))]. 12013 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(66,a,11999,a,b,12011,a)]. 12014 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(124,a,12011,a(flip),b,5125,a(flip))]. 12015 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2229(a,1),12011(a,2,2))]. 12016 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2229(a,1),12015(a,1,1))]. 12017 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(66,a,12009,a(flip),b,12016,a)]. 12018 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(66,a,12005,a(flip),b,12017,a),flip(a)]. 12020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12018(a,1),11383(a,2,2))]. 12022 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5409,a,12014,a)]. 12023 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11279(a,1),12022(a,1,1))]. 12024 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4463,a,12000,a)]. 12025 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7881(a,1),12024(a,1,1))]. 12027 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(66,a,9701,a(flip),b,11965,a),flip(a)]. 12028 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9729(a,1),12027(a,2,2))]. 12029 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(285,a,4292,a(flip),b,12028,a),flip(a)]. 12030 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9393(a,1),12029(a,1,1,1))]. 12031 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10801(a,1),12030(a,1,1)),flip(a)]. 12033 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12031(a,1),5576(a,1))]. 12034 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(285,a,11935,a(flip),b,12020,a),flip(a)]. 12036 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(11934(a,1),11937(a,2,2,1,1))]. 12037 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12036(a,2,2,1))]. 12039 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12037(a,1,1,2,1))]. 12040 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12039(a,1),466(a,1,1,1)),flip(a)]. 12041 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12039(a,2),6951(a,1,1))]. 12042 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7860(a,1),12041(a,1,1,1,2,1))]. 12043 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(10155(a,1),12042(a,1,1,1,2))]. 12044 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12025(a,1),12043(a,1,1,1))]. 12045 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5334(a,1),6060(a,1,2,1))]. 12046 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5493(a,1),7505(a,1,1))]. 12047 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5493(a,1),12046(a,1,2,1,1)),flip(a)]. 12048 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5320(a,1),12047(a,2,2,1))]. 12049 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6090(a,1),12048(a,2,2))]. 12050 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5126(a,1),12049(a,1,1,1)),flip(a)]. 12051 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6090(a,1),12050(a,2,1,2))]. 12052 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6065(a,1),8985(a,1,1,2))]. 12053 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * L(x,y,(x * y) \ 1)) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),12045(a,1,2,2))]. 12054 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * (((1 / (x * y)) * y) * L(x,y,(x * y) \ 1))) = K(y,x) \ ((1 / (x * y)) * y). [para(9172(a,1),12053(a,1,2))]. 12055 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * ((1 / (x * y)) * (y * x))) = K(y,x) \ ((1 / (x * y)) * y). [para(3667(a,1),12054(a,1,2,2))]. 12056 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * K(y,x)) = K(y,x) \ ((1 / (x * y)) * y). [para(5874(a,2),12055(a,1,2,2))]. 12057 K(x,y) \ ((1 / (y * x)) * x) = 1 / L(y,x,(y * x) \ 1). [hyper(5365,a,12056,a),flip(a)]. 12058 K(x,y) * ((1 / (x * y)) * y) = 1 / L(x,y,(x * y) \ 1). [hyper(5464,a,12057,a)]. 12060 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = L(x,y,(x * y) \ 1). [hyper(180,a,12058,a(flip))]. 12062 x / a((x * y) \ 1,y,x) = L(x,y,(x * y) \ 1). [hyper(66,a,11712,a(flip),b,12060,a)]. 12063 a((x * y) \ 1,y,x) / x = 1 / L(x,y,(x * y) \ 1). [para(12062(a,1),11659(a,1,2)),flip(a)]. 12064 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(10931(a,1),12052(a,1,1))]. 12065 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(8984(a,1),12064(a,1,2)),flip(a)]. 12066 (((x * y) \ 1) \ 1) * ((y * x) \ 1) = (x * y) * (1 / (y * x)). [hyper(124,a,7576,a(flip),b,12065,a(flip))]. 12067 (((((1 / (1 / x)) / y) * y) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(11483(a,2),12066(a,1,2,1))]. 12068 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4228(a,1),6023(a,1,1)),flip(a)]. 12069 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4191(a,1),12068(a,2,2,1))]. 12070 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6042(a,1),12069(a,1,2,1))]. 12071 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4181(a,1),12070(a,1,1)),flip(a)]. 12072 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(118(a,1),12071(a,2,2,1))]. 12073 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4331(a,1),12072(a,1,1))]. 12074 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5800(a,1),6621(a,1,1)),flip(a)]. 12075 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5143(a,1),12074(a,2,1))]. 12076 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(285,a,6253,a(flip),b,12075,a),flip(a)]. 12077 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(9548(a,1),12076(a,1,2,1))]. 12078 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3036(a,1),12077(a,1,2))]. 12079 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(8885(a,1),12078(a,1,2)),flip(a)]. 12080 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(12079(a,1),8464(a,1,1,1)),flip(a)]. 12082 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3742(a,1),12080(a,1,1)),flip(a)]. 12083 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(285,a,9473,a(flip),b,12082,a),flip(a)]. 12084 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(285,a,9761,a(flip),b,12083,a),flip(a)]. 12085 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(66,a,6748,a(flip),b,12084,a)]. 12086 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(66,a,10298,a(flip),b,12085,a)]. 12087 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(282(a,1),12086(a,1,1,1))]. 12088 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4271(a,1),12086(a,1,1,1))]. 12089 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(12086(a,1),5805(a,1,2,1,2))]. 12090 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(12086(a,1),11213(a,2,1,1,2))]. 12091 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [hyper(66,a,12086,a(flip),b,12087,a),flip(a)]. 12092 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [hyper(285,a,11487,a(flip),b,12088,a),flip(a)]. 12093 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,12086,a(flip),b,12092,a)]. 12094 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(15(a,1),12093(a,1,2,2)),flip(a)]. 12095 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [hyper(285,a,8464,a(flip),b,12091,a),flip(a)]. 12096 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [hyper(66,a,12094,a(flip),b,12095,a),flip(a)]. 12097 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(66,a,9012,a(flip),b,12089,a),flip(a)]. 12098 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [hyper(285,a,8836,a(flip),b,12090,a),flip(a)]. 12099 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(66,a,11212,a(flip),b,12098,a)]. 12100 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [hyper(66,a,12096,a,b,12099,a)]. 12101 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(90(a,1),12100(a,1,1,2,1)),flip(a)]. 12102 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [hyper(66,a,11380,a,b,12101,a)]. 12103 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(10960,a,12102,a),flip(a)]. 12104 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(66,a,9425,a(flip),b,12103,a)]. 12105 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(66,a,8466,a(flip),b,12103,a),flip(a)]. 12106 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(10983,a,12104,a)]. 12107 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(10982,a,12104,a)]. 12108 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(66,a,8172,a,b,12106,a)]. 12109 K(((x * y) / z) \ y,y) = K(z / x,y). [para(16(a,1),12108(a,1,1,2)),flip(a)]. 12110 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(66,a,6716,a(flip),b,12105,a)]. 12111 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),10552(a,1,1))]. 12112 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12111(a,1,2,1,1,1))]. 12113 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9225(a,1),12112(a,1,2,1,1))]. 12114 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(5320(a,1),12113(a,1,2,1))]. 12115 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12114(a,1,2,2))]. 12116 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7681(a,2),10763(a,2,2))]. 12117 (((1 / (1 / x)) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(17(a,1),12067(a,1,1,1,1))]. 12119 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * ((1 / (1 / (y * (x / y)))) \ 1). [para(184(a,1),12117(a,1,1)),flip(a)]. 12120 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(90(a,1),12119(a,2,2))]. 12121 (1 / (1 / x)) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [hyper(293,a,12120,a)]. 12124 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(10415(a,1),12116(a,2,2))]. 12125 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). [hyper(285,a,7396,a(flip),b,12124,a),flip(a)]. 12127 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [para(7761(a,1),12125(a,2,2))]. 12128 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(285,a,9707,a(flip),b,12127,a),flip(a)]. 12129 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7682(a,1),12128(a,2,2))]. 12130 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7980(a,1),12129(a,1,2))]. 12131 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(7410,a,12130,a)]. 12134 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(12131(a,1),11098(a,1))]. 12135 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10174(a,1),9605(a,1,1))]. 12136 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(11925(a,1),11920(a,2,1,2))]. 12137 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),11983(a,1,1,3,1))]. 12138 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6534(a,1),11990(a,1,2,1))]. 12139 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3858(a,1),12138(a,1,2,2)),flip(a)]. 12140 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9879(a,1),12139(a,2,2))]. 12141 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(14(a,1),12140(a,2,2,1))]. 12142 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12141(a,1,1,2))]. 12143 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8628(a,1),12142(a,1,1))]. 12144 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12143(a,1,2,1))]. 12146 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7148(a,1),12144(a,1,2))]. 12147 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8331(a,1),12146(a,1,2))]. 12148 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7248(a,1),12147(a,1,2)),flip(a)]. 12149 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(285,a,9312,a,b,12148,a),flip(a)]. 12151 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8738(a,1),12135(a,1,1,2))]. 12152 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7881(a,1),12151(a,1,1))]. 12154 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8266(a,1),12152(a,1,1,2))]. 12155 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(14(a,1),12154(a,1,1,2,1,2))]. 12156 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7884(a,1),12155(a,1,1))]. 12157 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7960(a,1),12156(a,1,1))]. 12158 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7929(a,1),12157(a,1,1))]. 12159 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7881(a,1),12158(a,1,1))]. 12160 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10481(a,1),12159(a,1,2))]. 12161 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(7560,a,12160,a)]. 12162 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7761(a,1),12161(a,1,2,1))]. 12163 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(12162(a,1),46(a,1))]. 12164 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9873(a,1),12137(a,1,1,3))]. 12165 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7715(a,2),12164(a,1,1,3))]. 12167 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),12165(a,1,2,1,1))]. 12168 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11942(a,1),12167(a,1,2))]. 12169 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7881(a,1),12168(a,2,2,1))]. 12170 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(9873(a,1),12169(a,2,2))]. 12171 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7715(a,2),12170(a,2,2))]. 12173 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(11033(a,1),12171(a,1,1))]. 12174 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(66,a,11939,a(flip),b,12173,a),flip(a)]. 12175 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(66,a,2237,a(flip),b,12174,a)]. 12176 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7681(a,2),12175(a,1,2))]. 12177 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9741(a,1),6242(a,1,1)),flip(a)]. 12178 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(285,a,9286,a,b,12177,a),flip(a)]. 12180 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5219(a,1),12178(a,2,1))]. 12181 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9741(a,1),6243(a,1,1)),flip(a)]. 12182 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(285,a,9286,a,b,12181,a),flip(a)]. 12184 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5219(a,1),12182(a,2,1))]. 12185 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(285,a,9802,a(flip),b,12184,a),flip(a)]. 12186 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4187(a,2),12185(a,1,2))]. 12187 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9737(a,1),12186(a,1,2,1))]. 12188 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4182(a,2),12187(a,1,2,1))]. 12190 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),6821(a,1,2,1))]. 12191 (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(10318(a,1),9544(a,1,1)),flip(a)]. 12192 (1 / x) * (((1 / x) / (y * ((1 / x) / y))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(7173(a,1),12191(a,1,2,1,2))]. 12194 (1 / x) * (K(y \ (1 / x),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),12192(a,1,2,1))]. 12195 (1 / x) * (K(y \ (x \ 1),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),12194(a,1,2,1))]. 12196 (1 / x) * (1 / (y * ((1 / x) / y))) = (x \ 1) / (y * ((1 / x) / y)). [para(11312(a,1),12195(a,1,2))]. 12197 (1 / x) * (1 / (y * ((1 / x) / y))) = ((y \ (x \ 1)) * y) * x. [hyper(285,a,6824,a(flip),b,12196,a),flip(a)]. 12198 ((x \ ((1 / y) \ 1)) * x) * (1 / y) = y * (1 / (x * (y / x))). [hyper(66,a,12121,a(flip),b,12197,a),flip(a)]. 12199 ((x \ y) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(90(a,1),12198(a,1,1,1,2))]. 12200 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(8907(a,1),10271(a,2,1))]. 12201 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(9984(a,1),12200(a,2,1))]. 12202 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(3339(a,1),12201(a,2,2))]. 12204 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(6468(a,1),12202(a,2,2))]. 12205 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(285,a,5792,a(flip),b,12204,a),flip(a)]. 12206 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2606(a,1),12205(a,1,2,3))]. 12207 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4803(a,1),12206(a,1,2))]. 12208 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(1089,a,12207,a)]. 12209 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(66,a,1535,a(flip),b,12208,a),flip(a)]. 12210 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [para(117(a,2),12209(a,1,1))]. 12211 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12210(a,2,2))]. 12212 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),12211(a,2,2,1))]. 12213 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(66,a,10307,a(flip),b,12212,a),flip(a)]. 12216 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(11966(a,1),11988(a,2,1,1))]. 12217 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),12190(a,1,2,1,1))]. 12218 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(112(a,1),12217(a,1,2)),flip(a)]. 12219 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(112(a,1),12218(a,2,2,1))]. 12220 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(6681(a,1),12219(a,2,2,1,1))]. 12221 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(285,a,6136,a(flip),b,12220,a),flip(a)]. 12222 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(285,a,6934,a(flip),b,12221,a),flip(a)]. 12223 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(571(a,1),12222(a,1,2,2,2))]. 12224 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(66,a,6935,a(flip),b,12223,a),flip(a)]. 12225 K(x,R(y \ 1,z,u) \ (x \ 1)) = R(K(x,x \ y),z,u). [hyper(66,a,9319,a(flip),b,12224,a),flip(a)]. 12226 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(66,a,7307,a(flip),b,12224,a),flip(a)]. 12227 K(x,(y * z) / (T(y,z) * x)) = R(K(x,x \ z),z,y). [hyper(66,a,8926,a(flip),b,12225,a)]. 12228 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),y,z). [hyper(66,a,8688,a,b,12227,a)]. 12229 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12226,a),flip(a)]. 12230 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(10936(a,1),6296(a,1,3)),flip(a)]. 12231 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(15(a,1),12230(a,2,3,1,1))]. 12232 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(285,a,4802,a(flip),b,12231,a),flip(a)]. 12234 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(5292(a,1),12232(a,1,1))]. 12235 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(98(a,1),12234(a,1,2,2))]. 12236 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(10936(a,1),12235(a,1,2)),flip(a)]. 12237 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(15(a,1),12236(a,2,2,1,1))]. 12238 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(285,a,5334,a(flip),b,12237,a),flip(a)]. 12240 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(285,a,6189,a(flip),b,12238,a),flip(a)]. 12241 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12240(a,1),394(a,1,1))]. 12242 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(66,a,7676,a(flip),b,12241,a),flip(a)]. 12243 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6097(a,1),9700(a,1,1,1))]. 12244 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6134(a,1),12243(a,1,1)),flip(a)]. 12245 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(285,a,10228,a(flip),b,12244,a),flip(a)]. 12247 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6097(a,1),12245(a,1,1))]. 12248 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(66,a,11208,a,b,12247,a)]. 12249 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6097(a,1),12248(a,1,2,1))]. 12250 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10160(a,1),12249(a,1,2))]. 12251 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9827(a,1),12250(a,1,2,2))]. 12253 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9830(a,1),12251(a,1,2,2))]. 12254 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(7896,a,12253,a),flip(a)]. 12256 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(11645,a,12254,a)]. 12257 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7512,a,12254,a)]. 12259 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11967,a(flip),b,12257,a),flip(a)]. 12260 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(285,a,10199,a(flip),b,12257,a),flip(a)]. 12261 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(606(a,1),12257(a,1,2,2)),flip(a)]. 12262 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12260(a,1),11274(a,1,2))]. 12263 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(66,a,11969,a(flip),b,12259,a)]. 12264 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2229(a,1),12263(a,1,2)),flip(a)]. 12265 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(66,a,11972,a,b,12264,a)]. 12266 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(285,a,5130,a(flip),b,12265,a)]. 12267 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(37,a,5130,a(flip),b,12266,a)]. 12268 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(285,a,10585,a(flip),b,8963,a),flip(a)]. 12269 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(285,a,7884,a(flip),b,12268,a),flip(a)]. 12270 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),9490(a,1,1,1))]. 12271 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6897(a,1),12270(a,1,1,2))]. 12272 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(11515(a,1),12271(a,1,1,2))]. 12273 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),12272(a,1,2,1))]. 12274 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5334(a,1),12273(a,1,2))]. 12275 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(66,a,11946,a(flip),b,12274,a),flip(a)]. 12277 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9289(a,1),12275(a,1,2,1,2,1))]. 12278 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(7679(a,1),12277(a,1,2,1))]. 12279 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9466(a,1),12278(a,1,2))]. 12280 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(7684,a,12279,a)]. 12281 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(12280(a,1),12115(a,1,2))]. 12282 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(5454,a,12281,a),flip(a)]. 12284 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(5320(a,1),12282(a,1,1))]. 12285 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(66,a,9225,a(flip),b,12284,a)]. 12286 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,9728,a(flip),b,12285,a),flip(a)]. 12287 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12286,a),flip(a)]. 12289 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3075(a,1),8931(a,1,1,1,2))]. 12290 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10160(a,1),11847(a,1,1))]. 12291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(285,a,14,a(flip),b,12040,a),flip(a)]. 12293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12039(a,1),12291(a,1,3))]. 12296 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4815(a,1),12289(a,1,1,1))]. 12297 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(115(a,1),12296(a,1,1,1)),flip(a)]. 12301 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3075(a,1),12297(a,2,1,3,2))]. 12302 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(14(a,1),12301(a,2,1,3))]. 12306 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4802(a,1),12302(a,2,1))]. 12307 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(87(a,1),12306(a,1,1,1,1,2))]. 12309 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3075(a,1),12307(a,1,1,2))]. 12310 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(66,a,6737,a(flip),b,12309,a)]. 12312 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(27(a,2),12310(a,1,1,1,1)),flip(a)]. 12313 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(9829(a,1),12290(a,1,1,2))]. 12315 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10163(a,1),12313(a,1,1))]. 12316 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(10156(a,1),12315(a,1,1)),flip(a)]. 12317 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(7996(a,1),12316(a,2,2,1))]. 12319 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(6142(a,1),12317(a,1,1))]. 12320 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(66,a,9196,a(flip),b,12319,a),flip(a)]. 12322 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11966(a,1),11976(a,1,2,1,1))]. 12323 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11279(a,1),12322(a,1,2,1))]. 12324 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7942(a,1),12323(a,1,2,1,1))]. 12325 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11953(a,1),12324(a,1,2,1))]. 12326 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12012(a,1),12325(a,1,2)),flip(a)]. 12327 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(285,a,12022,a(flip),b,12326,a),flip(a)]. 12328 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(11966(a,1),12327(a,1,2))]. 12329 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5316(a,1),6188(a,1,1,1,2))]. 12330 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6829(a,1),12329(a,1,1,1))]. 12331 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1580(a,1),12330(a,1,2))]. 12332 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(760,a,12331,a),flip(a)]. 12333 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1580(a,1),12332(a,1,1))]. 12334 (x * (y * (1 / (z * (y / z))))) * a(x,K((1 / y) \ K(z \ y,z),1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(12199(a,1),6825(a,1,1,2))]. 12335 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),7314(a,2,2))]. 12336 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12335(a,1,1,3,2,2))]. 12337 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12336(a,1,2,1,2,2))]. 12338 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(7313,a,12337,a)]. 12339 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5083(a,1),12334(a,1,2,2,1))]. 12340 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(4598(a,1),12339(a,1,2,2))]. 12341 (x * (y * (1 / (z * (y / z))))) * a(x,K(y,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5265(a,1),12340(a,1,2,2))]. 12342 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = (x * (y * (1 / (z * (y / z))))) * 1. [para(4899(a,1),12341(a,1,2)),flip(a)]. 12344 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [hyper(285,a,13,a(flip),b,12342,a),flip(a)]. 12346 (x * K((y \ z) * y,1 / z)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(5083(a,1),12344(a,1,1,2,1))]. 12347 (x * K((y \ z) * y,z \ 1)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(4598(a,1),12346(a,1,1,2))]. 12348 (x * K(y,y \ 1)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [para(5265(a,1),12347(a,1,1,2))]. 12349 x / ((y \ 1) * (z * (y / z))) = x * (y * (1 / (z * (y / z)))). [hyper(66,a,7421,a(flip),b,12348,a)]. 12351 K((T(x \ y,y \ x) * (1 / (x \ y))) \ (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(6883(a,1),11348(a,1,1,1))]. 12352 K(((T(x \ y,y \ x) \ 1) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(11456(a,1),12351(a,1,1))]. 12353 K((T((x \ y) \ 1,x \ y) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(2501(a,2),12352(a,1,1,1,1))]. 12354 K((T(x \ y,y \ x) * (1 / (x \ y))) * (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(6883(a,1),12353(a,1,1,1))]. 12355 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2618(a,1),10666(a,2,1))]. 12356 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(11518(a,1),12355(a,2,1))]. 12357 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(12(a,1),12356(a,2,2,2))]. 12358 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(16(a,1),12357(a,2,2))]. 12359 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(285,a,5190,a,b,12358,a),flip(a)]. 12361 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(10664(a,1),12359(a,1,1,1,2,1)),flip(a)]. 12362 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(12(a,1),12361(a,2,1,1,2))]. 12364 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(16(a,1),12362(a,2,1,1))]. 12365 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12364(a,1),10665(a,1,2))]. 12366 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2498,a,12365,a)]. 12367 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11805,a,12366,a),flip(a)]. 12369 x * K(y \ L(y,z,u),a(u,z,y)) = x. [hyper(124,a,12367,a,b,79,a)]. 12370 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5349,a,12369,a)]. 12371 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12370(a,1),6769(a,1,2)),flip(a)]. 12372 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(180,a,12371,a)]. 12374 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(605(a,1),11242(a,1,1))]. 12375 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5166(a,1),12374(a,1,1,1,2))]. 12376 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(66,a,5945,a(flip),b,12375,a),flip(a)]. 12377 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2155(a,1),12376(a,1,1,2))]. 12378 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(838(a,1),12377(a,1,1,2,1,2))]. 12379 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1360(a,1),12378(a,1,1,2,1,2))]. 12380 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(209(a,1),12379(a,1,1,2))]. 12381 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(513,a,12380,a),flip(a)]. 12383 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6275,a,12381,a),flip(a)]. 12386 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(118(a,1),12381(a,2,1))]. 12387 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5334(a,2),12383(a,1,1))]. 12388 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(12383(a,1),7511(a,1,1))]. 12390 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(285,a,6322,a,b,12387,a)]. 12391 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(124,a,12386,a(flip),b,6204,a(flip))]. 12392 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(14(a,1),12391(a,1,2,1)),flip(a)]. 12393 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(6756,a,12392,a),flip(a)]. 12394 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6174,a,12392,a)]. 12395 R(x,y,K(x \ 1,z)) = x. [hyper(475,a,12392,a)]. 12397 R(x \ 1,y,K(x,z)) = x \ 1. [para(3341(a,1),12395(a,1,3))]. 12398 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(12397(a,1),112(a,1,1)),flip(a)]. 12400 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [hyper(66,a,6650,a(flip),b,12394,a)]. 12401 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4586(a,1),12394(a,1,1,1)),flip(a)]. 12402 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(12394(a,1),7399(a,1,1,2)),flip(a)]. 12403 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(509(a,1),12400(a,1,2))]. 12404 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(66,a,6107,a(flip),b,12401,a)]. 12405 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(113(a,1),12404(a,1,2))]. 12406 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(285,a,7399,a(flip),b,12402,a),flip(a)]. 12407 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4221(a,2),12406(a,2,2))]. 12409 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(12393(a,1),6637(a,1,1))]. 12410 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(6756,a,12398,a),flip(a)]. 12411 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,12398,a)]. 12412 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [hyper(224,a,12398,a,b,5360,a),flip(a)]. 12413 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(66,a,8735,a(flip),b,12411,a)]. 12414 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [hyper(66,a,6637,a(flip),b,12411,a)]. 12416 T(x,L(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12413,a(flip),b,5125,a(flip)),flip(a)]. 12418 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12416,a),flip(a)]. 12419 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(453(a,1),12418(a,1,2)),flip(a)]. 12420 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(66,a,9801,a,b,12405,a)]. 12421 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(606(a,1),12420(a,1,2,2))]. 12422 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5334(a,2),12390(a,1,1))]. 12423 K(x / K(y \ 1,z),y) = K(x,y). [hyper(37,a,8343,a,b,12422,a)]. 12424 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(37,a,5130,a(flip),b,12422,a)]. 12425 K(x * K(y \ 1,z),y) = K(x,y). [para(16(a,1),12423(a,1,1)),flip(a)]. 12426 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [para(12423(a,1),5344(a,1,2)),flip(a)]. 12427 K(x * K(y,z \ 1),z) = K(x,z). [para(7396(a,1),12423(a,1,1))]. 12428 K(x / T(y,z \ 1),z) = K(x / y,z). [para(7419(a,1),12423(a,1,1)),flip(a)]. 12431 K(K(x,y \ 1) * z,y) = K(z,y). [para(5334(a,1),12424(a,1,1))]. 12432 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5585(a,1),12424(a,1,1)),flip(a)]. 12433 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6468(a,1),12425(a,1,1,2))]. 12434 K(x * K(y,y \ z),y / z) = K(x,y / z). [para(5612(a,1),12427(a,1,1,2))]. 12435 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5818(a,1),12427(a,1,1))]. 12436 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5612(a,1),12431(a,1,1,1))]. 12439 K(x,y / K(x \ 1,z)) = K(x,y). [hyper(285,a,5344,a(flip),b,12426,a),flip(a)]. 12440 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3341(a,1),12439(a,1,2,2))]. 12441 K(x,y * K(z,x \ 1)) = K(x,y). [para(7396(a,1),12439(a,1,2))]. 12442 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6392(a,1),12441(a,1,2,2))]. 12443 K(x,K(x \ 1,y) * z) = K(x,z). [para(7723(a,1),12441(a,1,2)),flip(a)]. 12444 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(124,a,12443,a(flip),b,5125,a(flip)),flip(a)]. 12445 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5545(a,1),12443(a,1,2))]. 12446 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(6254(a,1),12443(a,1,2)),flip(a)]. 12447 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(11083,a,12428,a)]. 12449 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(7419(a,1),12440(a,1,2)),flip(a)]. 12450 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(285,a,5130,a,b,12444,a),flip(a)]. 12452 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(5545(a,1),12450(a,1,2))]. 12453 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5854(a,1),12450(a,1,2)),flip(a)]. 12456 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,(y * x) \ (x * z)). [hyper(66,a,9754,a(flip),b,12445,a)]. 12458 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6585(a,1),12433(a,1,1)),flip(a)]. 12459 K(x * (y / z),z / y) = K(x * (z \ y),z / y). [para(6523(a,1),12434(a,1,1))]. 12460 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5854(a,1),12436(a,1,1)),flip(a)]. 12461 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6523(a,1),12442(a,1,2))]. 12462 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5360(a,1),12446(a,1,2,2)),flip(a)]. 12464 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8573(a,1),12462(a,1,2,2))]. 12466 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(12447(a,2),11083(a,1))]. 12467 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((K(x * (L(z,u,w) \ y),L(z,u,w) / y) * L(z,u,w)) / y,z). [para(12459(a,1),10923(a,1,1,1,1)),flip(a)]. 12468 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(66,a,10701,a,b,12460,a)]. 12469 T(K(x \ y,z * (y \ x)),x) = K((x / y) \ 1,z * (x / y)). [para(12461(a,1),8067(a,1,1))]. 12470 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6603(a,1),12464(a,1,2,2)),flip(a)]. 12471 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(404(a,1),12403(a,2,2,1,2))]. 12472 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(66,a,6247,a(flip),b,12412,a),flip(a)]. 12473 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(5019,a,12472,a),flip(a)]. 12474 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(4760,a,12472,a),flip(a)]. 12475 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4941,a,12473,a),flip(a)]. 12477 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(10004(a,1),12474(a,2,2))]. 12478 T(x \ K(y,z),K(x,y)) = x \ K(y,z). [para(2227(a,1),12475(a,2,2))]. 12479 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(12475(a,2),10485(a,1,2))]. 12480 T(K(x,y) / z,T(z,x)) = z \ K(x,y). [hyper(10093,a,12478,a)]. 12481 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(12256(a,2),12479(a,1,2))]. 12482 K(x,(y * z) \ T(z,u)) = T(K(x,y \ K(z,u)),z). [para(12480(a,1),10823(a,1,1,2)),flip(a)]. 12483 T(K(x,(y / z) \ K(z,u)),z) = K(x,y \ T(z,u)). [para(17(a,1),12482(a,1,2,1)),flip(a)]. 12484 K(x,T(y / z,z) \ K(z,u)) = K(x,y \ T(z,u)). [hyper(66,a,9550,a,b,12483,a)]. 12485 K(x,(y * z) \ T(y,u)) = K(x,z \ K(y,u)). [para(208(a,1),12484(a,1,2,1)),flip(a)]. 12486 K((x * y) \ T(x,z),u) = (u \ 1) / (u \ K(u,y \ K(x,z))). [para(12485(a,1),5633(a,1,2,2)),flip(a)]. 12487 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(66,a,12449,a(flip),b,12421,a)]. 12488 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(66,a,8686,a(flip),b,12487,a),flip(a)]. 12489 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(12488(a,1),6101(a,1,1))]. 12490 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ (x \ (x * z))). [hyper(285,a,9451,a(flip),b,12456,a),flip(a)]. 12491 K((x / y) \ 1,z * (x / y)) = K(y / x,z * (y \ x)). [hyper(10968,a,12469,a),flip(a)]. 12492 K(x / y,z * (y / x)) = K(x / y,z * (x \ y)). [hyper(10990,a,12491,a)]. 12493 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(12470(a,1),8377(a,1,1))]. 12494 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(66,a,11241,a,b,12477,a)]. 12495 K((x * y) \ T(x,z),u) = K(y \ K(x,z),u). [hyper(285,a,5633,a(flip),b,12486,a),flip(a)]. 12496 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(15(a,1),12495(a,1,1,1)),flip(a)]. 12497 K(T(x / y,T(y,x)) \ K(y,z),u) = K(x \ T(y,z),u). [para(3981(a,2),12496(a,1,1,1))]. 12498 T(K((x / y) \ K(y,z),u),T(y,x)) = K(x \ T(y,z),u). [hyper(66,a,8981,a(flip),b,12497,a)]. 12499 T(K(x \ T(y,z),u),T(y,x)) = K((x / y) \ K(y,z),u). [hyper(7987,a,12498,a)]. 12500 K((x / y) \ K(y,z),u) = T(K(x \ T(y,z),u),y). [hyper(66,a,10062,a(flip),b,12499,a),flip(a)]. 12501 K((x / y) \ K(y,z),u) = K(x \ T(y,z),T(u,y)). [hyper(285,a,7681,a,b,12500,a),flip(a)]. 12502 K((x / L(y,z,u)) \ K(L(y,z,u),w),(v5 * y) / v5) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(637(a,1),12501(a,2,2))]. 12503 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ z). [para(14(a,1),12490(a,2,2,2))]. 12504 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(14(a,1),12503(a,1,2,1,1)),flip(a)]. 12505 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(8428,a,12493,a)]. 12506 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(10942,a,12505,a),flip(a)]. 12508 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(10753,a,12388,a),flip(a)]. 12509 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(6275,a,12508,a),flip(a)]. 12513 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12508(a,2,2))]. 12514 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(285,a,12338,a(flip),b,12509,a),flip(a)]. 12516 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12513(a,1,1,2))]. 12517 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6275,a,12516,a),flip(a)]. 12518 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(30(a,2),12517(a,2,2))]. 12519 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(12517(a,2),6239(a,1,2))]. 12520 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(263,a,12519,a)]. 12521 R(K(x,y),z,x \ 1) = K(x,y). [hyper(475,a,12520,a)]. 12522 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(11080,a,12521,a)]. 12523 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [hyper(124,a,12522,a(flip),b,5805,a),flip(a)]. 12524 T(x,R(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12522,a(flip),b,5125,a(flip)),flip(a)]. 12526 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12524,a),flip(a)]. 12527 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(706(a,1),12526(a,1,2))]. 12528 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(285,a,3195,a(flip),b,12523,a),flip(a)]. 12529 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(122,a,12528,a,b,4428,a)]. 12530 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(66,a,10686,a(flip),b,12527,a)]. 12531 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(86(a,1),12530(a,1,2,2))]. 12532 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(118(a,1),12531(a,1,2)),flip(a)]. 12533 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(285,a,10694,a(flip),b,12532,a),flip(a)]. 12534 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(66,a,12453,a(flip),b,12533,a)]. 12535 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(66,a,12419,a(flip),b,12534,a)]. 12536 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(27(a,2),12534(a,1,2,1)),flip(a)]. 12537 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(12535(a,1),8359(a,1,1,2))]. 12538 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(66,a,9626,a(flip),b,12536,a)]. 12539 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(285,a,12452,a(flip),b,12538,a),flip(a)]. 12540 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(66,a,9607,a(flip),b,12539,a)]. 12541 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(657(a,1),12529(a,2,2))]. 12542 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5382(a,1),12541(a,1,2)),flip(a)]. 12543 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(12542(a,1),8608(a,1,2,1))]. 12544 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(66,a,9104,a(flip),b,12543,a)]. 12545 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(8364,a,12537,a),flip(a)]. 12546 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(122,a,12545,a(flip),b,5130,a(flip)),flip(a)]. 12547 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(285,a,5125,a,b,12546,a),flip(a)]. 12548 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(66,a,10804,a(flip),b,12547,a),flip(a)]. 12549 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(14(a,1),12548(a,1,2,1,2)),flip(a)]. 12550 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(242(a,1),12549(a,1,2,1,2))]. 12551 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3645(a,1),12407(a,1,2,1))]. 12552 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(66,a,5949,a(flip),b,12551,a)]. 12553 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(90(a,1),12552(a,2,2,1,2))]. 12554 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(79(a,1),12553(a,2,2,1))]. 12556 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(186(a,1),12554(a,2,2,2))]. 12557 L(K(x,y),z,y \ 1) = K(x,y). [para(12(a,1),12556(a,2,2))]. 12561 K(L(x,y,z \ 1),z) = K(x,z). [hyper(66,a,8726,a(flip),b,12557,a)]. 12562 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,6664,a(flip),b,12557,a)]. 12563 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [hyper(124,a,12557,a(flip),b,7068,a(flip))]. 12565 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(789(a,1),12561(a,1,1))]. 12566 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8015(a,1),12563(a,1,2)),flip(a)]. 12567 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,10689,a(flip),b,12562,a)]. 12568 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(285,a,12435,a(flip),b,12567,a),flip(a)]. 12569 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,12568,a)]. 12570 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(66,a,11303,a(flip),b,12569,a),flip(a)]. 12571 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(66,a,8626,a(flip),b,12569,a)]. 12572 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(116(a,1),12569(a,1,1,1)),flip(a)]. 12573 K(L(x,y,y \ 1) \ z,y) = K(x \ (y \ (z * y)),y). [hyper(285,a,9347,a(flip),b,12571,a),flip(a)]. 12574 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(285,a,8199,a(flip),b,12573,a),flip(a)]. 12575 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12574(a,1),5722(a,1,2,1,2))]. 12576 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(10953,a,12570,a)]. 12577 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(11084,a,12576,a),flip(a)]. 12579 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(116(a,1),12577(a,1,1,2)),flip(a)]. 12580 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(66,a,12432,a(flip),b,12572,a),flip(a)]. 12581 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(66,a,9123,a,b,12580,a)]. 12582 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(12581(a,1),11114(a,1,1))]. 12583 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(11321(a,1),12581(a,2,1,2,1))]. 12584 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(12466,a,12579,a),flip(a)]. 12585 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(66,a,11169,a,b,12584,a)]. 12586 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(285,a,12106,a(flip),b,12585,a),flip(a)]. 12587 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6120(a,2),12586(a,1,1))]. 12588 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(11000,a,12565,a)]. 12589 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5464,a,12582,a)]. 12590 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(38,a,11111,a,b,12589,a)]. 12591 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6626(a,2),12590(a,1,1))]. 12592 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(7270(a,1),12590(a,2,2,2,1))]. 12593 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(267(a,1),12591(a,2,2))]. 12594 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(285,a,6658,a(flip),b,12593,a),flip(a)]. 12596 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8015(a,1),12566(a,1,2,2)),flip(a)]. 12597 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5865,a,12575,a),flip(a)]. 12598 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2958(a,1),12597(a,1,1,1))]. 12599 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(66,a,6705,a(flip),b,12598,a)]. 12600 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(285,a,9402,a(flip),b,12599,a),flip(a)]. 12601 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(66,a,12588,a(flip),b,12600,a),flip(a)]. 12602 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(10953,a,12601,a),flip(a)]. 12603 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(285,a,12107,a(flip),b,12602,a),flip(a)]. 12604 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(14(a,1),12603(a,1,1,1)),flip(a)]. 12605 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(66,a,12109,a(flip),b,12604,a)]. 12606 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(16(a,1),12604(a,1,1,1)),flip(a)]. 12607 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(4597,a,12606,a)]. 12608 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8940,a,12607,a)]. 12610 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3062(a,2),12608(a,1,1,2))]. 12611 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(66,a,8937,a(flip),b,12610,a)]. 12613 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(66,a,9634,a(flip),b,12611,a)]. 12615 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,11915,a(flip),b,12613,a),flip(a)]. 12616 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8455,a,12615,a),flip(a)]. 12618 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(285,a,9355,a(flip),b,12616,a),flip(a)]. 12619 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(66,a,11731,a,b,12618,a)]. 12621 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12619(a,1),6963(a,1,1,1))]. 12622 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(66,a,9379,a(flip),b,12621,a),flip(a)]. 12624 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(17(a,1),12622(a,1,3,2)),flip(a)]. 12625 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,5977,a(flip),b,12409,a)]. 12626 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(66,a,5969,a(flip),b,12489,a)]. 12627 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(7396(a,1),12494(a,1,1,2))]. 12628 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(66,a,12229,a(flip),b,12626,a)]. 12629 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(7587(a,1),12627(a,1,1))]. 12631 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(12629(a,1),6129(a,1))]. 12633 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(489(a,1),12628(a,1,2,1)),flip(a)]. 12634 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(66,a,12550,a(flip),b,12471,a),flip(a)]. 12635 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(285,a,12403,a(flip),b,12634,a),flip(a)]. 12636 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(66,a,11501,a(flip),b,12635,a),flip(a)]. 12637 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(9881,a,12636,a)]. 12638 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(10958,a,12637,a)]. 12639 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(66,a,12414,a,b,12638,a)]. 12640 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(66,a,12504,a(flip),b,12639,a)]. 12641 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(66,a,9785,a(flip),b,12639,a),flip(a)]. 12642 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(15(a,1),12639(a,1,2,1)),flip(a)]. 12643 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(66,a,12410,a(flip),b,12642,a)]. 12644 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(66,a,10508,a(flip),b,12643,a)]. 12645 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(11218,a,12644,a),flip(a)]. 12646 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(66,a,7197,a(flip),b,12644,a),flip(a)]. 12647 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(90(a,1),12644(a,1,2,2,1)),flip(a)]. 12648 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(10954,a,12641,a)]. 12649 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(66,a,9591,a(flip),b,12648,a),flip(a)]. 12651 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(66,a,8020,a(flip),b,12649,a),flip(a)]. 12652 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(66,a,9792,a(flip),b,12645,a)]. 12654 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,12652,a),flip(a)]. 12655 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,9862,a(flip),b,12654,a),flip(a)]. 12656 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(12646(a,1),9651(a,2,1))]. 12657 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(9661,a,12647,a),flip(a)]. 12659 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(12657(a,1),5766(a,1))]. 12660 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8680,a(flip),b,12655,a)]. 12661 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(285,a,12413,a(flip),b,12660,a),flip(a)]. 12663 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(17(a,1),12661(a,1,2,1))]. 12664 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(66,a,8680,a,b,12663,a)]. 12665 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(15(a,1),12664(a,1,2,2,1)),flip(a)]. 12666 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(12665(a,1),6101(a,1,1))]. 12667 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(285,a,3344,a(flip),b,12651,a),flip(a)]. 12668 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(66,a,10856,a(flip),b,12667,a)]. 12669 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(285,a,9021,a,b,12668,a)]. 12670 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(66,a,6101,a(flip),b,12666,a),flip(a)]. 12671 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,7200,a(flip),b,12670,a),flip(a)]. 12672 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9111(a,1),12669(a,1,1))]. 12673 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(15(a,1),12672(a,2,2,1,2,1))]. 12674 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(285,a,7169,a,b,12673,a)]. 12676 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [hyper(124,a,12674,a(flip),b,5125,a(flip)),flip(a)]. 12677 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(285,a,5977,a(flip),b,12656,a),flip(a)]. 12678 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(66,a,7157,a(flip),b,12677,a)]. 12679 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(66,a,12287,a(flip),b,12678,a),flip(a)]. 12680 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,12625,a(flip),b,12679,a),flip(a)]. 12681 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(453(a,1),12680(a,1,2,1))]. 12683 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(12681(a,1),12659(a,1))]. 12684 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4409(a,1),12583(a,2,1,2))]. 12685 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4548(a,1),12592(a,2,2))]. 12686 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(285,a,6678,a(flip),b,12685,a),flip(a)]. 12687 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(5540(a,1),12684(a,2,1))]. 12688 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(285,a,6666,a(flip),b,12687,a),flip(a)]. 12690 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(15(a,1),12514(a,1,1)),flip(a)]. 12691 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(38,a,4932,a(flip),b,12690,a),flip(a)]. 12693 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(12691(a,1),6887(a,1,2,2,2))]. 12694 K((x / L(y,z,u)) \ K(L(y,z,u),w),T(y,v5)) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [hyper(8430,a,12502,a)]. 12695 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K((x / L(y,z,u)) \ 1,T(y,v5)). [hyper(66,a,8588,a(flip),b,12694,a),flip(a)]. 12697 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(L(y,z,u) / x,T(y,v5)). [hyper(285,a,5830,a(flip),b,12695,a),flip(a)]. 12698 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(x \ L(y,z,u),T(y,v5)). [hyper(285,a,7745,a(flip),b,12697,a),flip(a)]. 12699 K(x \ L(T(y,z),u,w),(v5 * y) / v5) = K(x \ L(y,u,w),T(y,v5)). [para(30(a,2),12698(a,1,1,2))]. 12700 K(x \ L(T(y,z),u,w),T(y,v5)) = K(x \ L(y,u,w),T(y,v5)). [hyper(8430,a,12699,a)]. 12701 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x * y)). [hyper(66,a,11827,a,b,12700,a)]. 12702 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(15(a,1),12693(a,1,2,2)),flip(a)]. 12703 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(285,a,5688,a(flip),b,12702,a),flip(a)]. 12705 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(6123(a,1),12703(a,1,2,2,2))]. 12706 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(66,a,7202,a(flip),b,12705,a)]. 12707 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(6565(a,1),12706(a,1,2,2))]. 12708 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(285,a,12670,a(flip),b,12707,a),flip(a)]. 12709 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(5767,a,12708,a)]. 12710 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(66,a,7265,a(flip),b,12708,a),flip(a)]. 12711 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,12671,a(flip),b,12710,a),flip(a)]. 12712 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(285,a,12633,a(flip),b,12711,a),flip(a)]. 12713 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(66,a,12709,a(flip),b,12712,a),flip(a)]. 12714 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(9881,a,12713,a)]. 12715 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(66,a,8683,a(flip),b,12714,a)]. 12716 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,8679,a(flip),b,12715,a),flip(a)]. 12717 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(116(a,1),12715(a,1,2,2)),flip(a)]. 12718 K(x,R(y / (z * u),z * u,x)) = K(x,(y * x) / ((z * x) * u)). [para(113(a,2),12715(a,1,2))]. 12719 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(66,a,10721,a(flip),b,12716,a),flip(a)]. 12720 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,9577,a(flip),b,12716,a)]. 12721 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(124,a,12720,a(flip),b,5125,a(flip))]. 12722 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(12720(a,1),5633(a,1,2,2))]. 12723 K(x,(y * x) / ((z * x) * u)) = K(x,y / (z * u)). [hyper(66,a,9089,a(flip),b,12718,a),flip(a)]. 12725 K(x,(((y * x) * z) / u) \ x) = K(x,u / (y * z)). [hyper(66,a,10854,a(flip),b,12723,a)]. 12726 K(x,y / ((1 / x) * z)) = K(x,(z / y) \ x). [para(88(a,1),12725(a,1,2,1,1)),flip(a)]. 12727 K(x,y / ((1 / x) * (z * x))) = K(x,y / z). [hyper(285,a,10862,a(flip),b,12726,a),flip(a)]. 12728 K(x,y / ((1 / x) * (x / z))) = K(x,y / (z \ 1)). [hyper(66,a,7263,a(flip),b,12727,a)]. 12729 K(x,((x / y) / z) \ x) = K(x,z / (y \ 1)). [hyper(66,a,12726,a(flip),b,12728,a)]. 12730 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (((y \ 1) * x) \ 1)). [para(200(a,2),12729(a,1,2,1,1))]. 12731 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(15(a,1),12719(a,1,2,2,2)),flip(a)]. 12732 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(25(a,2),12731(a,2,2))]. 12734 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10718,a,12732,a)]. 12735 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,R(z,y,T(x,z * y))). [hyper(66,a,10723,a,b,12732,a)]. 12736 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [hyper(66,a,11736,a(flip),b,12732,a)]. 12737 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [hyper(66,a,10717,a(flip),b,12732,a),flip(a)]. 12738 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(12732(a,1),30(a,2,1))]. 12739 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(12734(a,1),476(a,1,1))]. 12740 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [hyper(285,a,9021,a,b,12736,a)]. 12741 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [hyper(66,a,12228,a(flip),b,12737,a),flip(a)]. 12742 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(285,a,12740,a(flip),b,12741,a),flip(a)]. 12743 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(12742(a,1),10597(a,1,2))]. 12744 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(285,a,7681,a,b,12738,a),flip(a)]. 12745 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(32(a,2),12744(a,2,2))]. 12746 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(7681(a,2),12745(a,1,1))]. 12747 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(285,a,8622,a(flip),b,12746,a),flip(a)]. 12748 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(66,a,6813,a(flip),b,12739,a),flip(a)]. 12749 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5274(a,1),12748(a,2,1))]. 12750 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(66,a,9681,a(flip),b,12749,a)]. 12752 L(x,K(y,z),z * y) = x. [hyper(766,a,12750,a)]. 12753 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(513,a,12750,a)]. 12754 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(122,a,5130,a,b,12750,a)]. 12756 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(122,a,15,a(flip),b,12750,a),flip(a)]. 12757 L(x,K(y \ z,y),z) = x. [para(15(a,1),12752(a,1,3))]. 12758 L(x,K(y,y \ z),z) = x. [para(5612(a,1),12757(a,1,2))]. 12759 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(66,a,6278,a(flip),b,12758,a)]. 12760 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [hyper(124,a,12756,a(flip),b,5544,a)]. 12762 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(7884(a,2),12756(a,1,1))]. 12764 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(12631,a,12753,a)]. 12765 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(37,a,11579,a,b,12753,a)]. 12768 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(15(a,1),12759(a,1,2)),flip(a)]. 12769 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(12760(a,1),12312(a,2,1,1))]. 12770 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),12765(a,1,2)),flip(a)]. 12771 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(12768(a,1),12753(a,1,2)),flip(a)]. 12773 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(66,a,11862,a(flip),b,12754,a),flip(a)]. 12774 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7409,a,12773,a)]. 12775 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5452,a,12773,a)]. 12776 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(2236,a,12773,a)]. 12777 x \ R(x,y,x) = a(x,y,x). [hyper(66,a,5764,a(flip),b,12773,a)]. 12778 x * a(x,y,x) = R(x,y,x). [hyper(124,a,12773,a(flip),b,5764,a(flip))]. 12780 K(x,x * y) * a(x,y,x) = K(x,y). [para(12773(a,1),5445(a,1,2))]. 12781 T(x * y,x) / x = y * a(x,y,x). [para(12773(a,1),7477(a,1,2)),flip(a)]. 12782 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12773(a,1),11094(a,1,2))]. 12783 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12773(a,1),11055(a,2,2))]. 12784 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12773(a,1),11942(a,1,1)),flip(a)]. 12785 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(12773(a,1),11945(a,1,1)),flip(a)]. 12786 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12773(a,1),11966(a,1,1)),flip(a)]. 12787 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(66,a,9211,a,b,12777,a)]. 12788 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(66,a,8802,a(flip),b,12777,a),flip(a)]. 12789 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(124,a,12777,a(flip),b,12213,a),flip(a)]. 12791 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12777(a,1),9709(a,1,3))]. 12792 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12778(a,1),304(a,1,2)),flip(b)]. 12793 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12778(a,1),113(a,2,2)),flip(a)]. 12795 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12791(a,1),394(a,1,1)),flip(a)]. 12796 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(15(a,1),12774(a,1,2,2))]. 12797 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (R(a(z,u,z),K(z,z * u),y * x) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(12774(a,1),1191(a,1,2,1)),flip(a)]. 12799 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7409,a,12776,a)]. 12801 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(15(a,1),12780(a,1,1,2))]. 12802 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(12780(a,1),5453(a,1,2)),flip(b)]. 12803 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(66,a,1656,a,b,12781,a)]. 12804 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12781(a,1),118(a,1,1))]. 12805 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12781(a,2),215(a,1,2,2))]. 12807 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12781(a,2),441(a,1,2,2))]. 12808 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12781(a,2),769(a,1,2,2,2))]. 12809 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12781(a,2),7642(a,1,2,1)),flip(a)]. 12810 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(285,a,5785,a,b,12799,a),flip(a)]. 12811 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12799(a,1),1191(a,1,2,1))]. 12812 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6764(a,1),12799(a,2,1))]. 12813 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(8244(a,1),12799(a,1,2))]. 12814 a(x,y,x) \ x = L(x,y,x). [hyper(10928,a,12782,a(flip))]. 12815 (x * y) / L(y,z,y) = x * a(y,z,y). [para(16(a,1),12782(a,1,1)),flip(a)]. 12816 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9688,a,12788,a)]. 12818 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12816(a,2),12792(a,1))]. 12819 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(66,a,9363,a(flip),b,12789,a)]. 12820 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(66,a,9207,a(flip),b,12789,a)]. 12821 x * (y * a(x,z,x)) = R(x,z,x) * y. [hyper(124,a,12789,a(flip),b,1148,a)]. 12822 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(123,a,12789,a(flip),b,9207,a(flip))]. 12823 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(14(a,1),12789(a,1,2)),flip(a)]. 12824 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5527(a,1),12789(a,1,2))]. 12825 R(x,y,x) * (K(x,z) * (x \ u)) = K(x,z) * (u * a(x,y,x)). [para(12789(a,1),6263(a,2,2))]. 12826 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12789(a,1),9362(a,1,1))]. 12827 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(12815(a,1),11613(a,1,2))]. 12828 R(x,y,x) / x = a(x,y,x). [hyper(121,a,12820,a(flip),b,1621,a(flip)),flip(a)]. 12829 (x * y) * a(y,z,y) = x * R(y,z,y). [para(16(a,1),12820(a,1,1)),flip(a)]. 12830 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(12820(a,2),46(a,1))]. 12832 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1581(a,1),12820(a,1,1))]. 12833 a(x,y,x) * x = R(x,y,x). [hyper(136,a,12828,a)]. 12834 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12828(a,1),11438(a,1,1)),flip(a)]. 12836 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12821(a,1),447(a,1,2))]. 12837 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(128,a,12823,a)]. 12839 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(128,a,12827,a)]. 12840 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(122,a,15,a(flip),b,12827,a),flip(a)]. 12841 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(17(a,1),12827(a,1,2)),flip(a)]. 12842 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(128,a,12829,a)]. 12844 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12829(a,1),447(a,1,2,2))]. 12845 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12829(a,1),5812(a,1,1,1,1)),flip(a)]. 12847 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(66,a,1245,a(flip),b,12839,a)]. 12848 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(37,a,1243,a,b,12841,a)]. 12849 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(285,a,12837,a,b,12842,a)]. 12850 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(122,a,12,a(flip),b,12847,a),flip(a)]. 12851 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(66,a,10916,a,b,12847,a)]. 12852 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8961(a,1),12847(a,1,2,1))]. 12853 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12850(a,1),7023(a,1,1,2))]. 12854 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(122,a,12848,a(flip),b,9205,a(flip))]. 12856 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10743,a,12784,a),flip(a)]. 12857 a(x,y,x) * z = z * a(x,y,x). [hyper(66,a,12783,a(flip),b,12784,a),flip(a)]. 12858 T(x,a(y,z,y)) = x. [hyper(224,a,12783,a(flip),b,12784,a(flip))]. 12859 T(a(x,y,x),z) = a(x,y,x). [hyper(224,a,12784,a(flip),b,12783,a(flip))]. 12861 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5785(a,2),12784(a,1,1))]. 12862 x / a(y,z,y) = a(y,z,y) \ x. [hyper(630,a,12858,a),flip(a)]. 12863 K(x,a(y,z,y)) = 1. [hyper(58,a,12858,a)]. 12865 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12858(a,1),226(a,1,2)),flip(b)]. 12867 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12858(a,1),630(a,1))]. 12868 x * K(y,a(z,u,z)) != w | x = w. [para(12863(a,2),133(a,1,2))]. 12869 T(a(x,y,x),z) = T(a(x,y,x),u). [hyper(285,a,12859,a,b,12859,a)]. 12870 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(285,a,12777,a,b,12859,a),flip(a)]. 12871 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12859(a,1),223(a,1,2,1)),flip(a)]. 12873 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(285,a,12823,a(flip),b,12857,a),flip(a)]. 12874 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12862(a,1),12854(a,1,2))]. 12876 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3532(a,1),12870(a,2,2))]. 12880 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12873(a,1),479(a,1,1,1))]. 12882 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(15(a,1),12785(a,1,2,1,1))]. 12883 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6626(a,2),12786(a,1,2,1))]. 12884 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4427(a,1),12861(a,1,2))]. 12885 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(66,a,11943,a(flip),b,12883,a)]. 12886 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(133,a,12885,a),flip(a)]. 12888 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12886(a,2),12885(a,1,1))]. 12889 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(122,a,14,a(flip),b,12888,a)]. 12890 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(285,a,12857,a(flip),b,12889,a),flip(a)]. 12891 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12886(a,1),12890(a,1,1))]. 12892 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(66,a,12765,a(flip),b,12771,a),flip(a)]. 12894 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [hyper(122,a,5671,a(flip),b,12892,a),flip(a)]. 12895 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(37,a,5360,a(flip),b,12892,a),flip(a)]. 12896 L(x,y,K(z,z \ y)) = x. [hyper(5569,a,12895,a)]. 12898 L(x,y * z,K(z,y)) = x. [para(5336(a,1),12896(a,1,3))]. 12899 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(66,a,4624,a(flip),b,12898,a)]. 12900 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(66,a,6157,a,b,12899,a),flip(a)]. 12905 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(185,a,12900,a(flip))]. 12907 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12795(a,1),12804(a,1,1))]. 12908 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [hyper(124,a,12851,a(flip),b,5534,a)]. 12909 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12851(a,2),46(a,1))]. 12910 T(x,R(a(y,z,y),u,w)) = x. [hyper(228,a,12871,a)]. 12911 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(38,a,12770,a,b,12764,a),flip(a)]. 12914 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12882(a,1),5563(a,1,2))]. 12915 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(12907(a,1),1799(a,1,1)),flip(a)]. 12916 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(12762(a,1),8276(a,1,2,2))]. 12917 R(x / y,y,a(y,z,y)) = x / y. [hyper(66,a,12822,a(flip),b,12793,a),flip(a)]. 12919 R((x * y) / y,y,a(y,z,y)) = x. [hyper(285,a,16,a(flip),b,12917,a),flip(a)]. 12920 R(x,y,a(y,z,y)) = x. [para(16(a,1),12919(a,1,1))]. 12923 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12920(a,1),663(a,1,1,1)),flip(a)]. 12924 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12836,a,12849,a)]. 12926 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(285,a,154,a(flip),b,12924,a),flip(a)]. 12927 L(a(x,y,x),z,x) = (u * T(x,w)) \ ((u * K(x,w)) * R(x,y,x)). [para(6311(a,1),12924(a,2,1))]. 12928 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(66,a,10367,a(flip),b,12853,a)]. 12929 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(285,a,9095,a(flip),b,12928,a),flip(a)]. 12932 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(66,a,7018,a(flip),b,12929,a)]. 12933 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(12932(a,1),112(a,1,1)),flip(a)]. 12934 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12820(a,2),12908(a,1,2))]. 12935 (a(x,y,x) * K(x,z)) * u = K(x,z) * (a(x,y,x) * u). [para(10244(a,1),12933(a,1,1))]. 12936 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(285,a,10023,a,b,12914,a),flip(a)]. 12937 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12781(a,1),12803(a,1,1)),flip(a)]. 12938 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(66,a,12857,a,b,12937,a)]. 12939 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * (y \ T(x,K(y,z))))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [hyper(122,a,12825,a,b,446,a)]. 12940 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12909,a,12852,a),flip(a)]. 12942 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12624(a,1),12876(a,2,2))]. 12943 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,9706,a(flip),b,12934,a)]. 12944 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(66,a,12824,a(flip),b,12943,a)]. 12945 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12943(a,1),9414(a,1,2))]. 12946 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,12857,a,b,12944,a)]. 12947 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * (K(x,w) * R(x,y,x))). [para(6338(a,1),12927(a,2,2))]. 12948 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * R(T(x,w),y,x)). [para(9210(a,1),12947(a,2,2,2))]. 12949 (x * T(y,z)) \ (x * R(T(y,z),u,y)) = a(y,u,y). [hyper(4902,a,12948,a)]. 12950 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = a(y,u,y). [para(6321(a,1),12949(a,1,1))]. 12951 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5667,a,12722,a),flip(a)]. 12952 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(7550,a,12951,a),flip(a)]. 12953 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(66,a,8664,a,b,12952,a)]. 12954 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(15(a,1),12952(a,1,1,2,2))]. 12955 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(17(a,1),12953(a,1,1,2,1)),flip(a)]. 12956 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(6026(a,1),12954(a,1,1,1))]. 12957 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(15(a,1),12747(a,1,3)),flip(a)]. 12958 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(12957(a,1),12320(a,1,2))]. 12959 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(285,a,12955,a(flip),b,12956,a),flip(a)]. 12960 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(66,a,5923,a,b,12959,a)]. 12961 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(11695,a,12958,a),flip(a)]. 12962 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(285,a,12911,a(flip),b,12961,a),flip(a)]. 12964 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(66,a,10573,a(flip),b,12962,a)]. 12965 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(66,a,12960,a(flip),b,12964,a)]. 12966 K(R(x,y,z),y) = K(y \ (y * x),y). [para(14(a,1),12964(a,1,1,1))]. 12967 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(285,a,12966,a,b,12966,a)]. 12969 K(R(x,y,z),y) = K(x,y). [hyper(285,a,625,a(flip),b,12966,a),flip(a)]. 12970 K(R(x,y,z),y) != u | K(x,y) = u. [para(12966(a,2),10996(a,1))]. 12971 K(x,R(y,x,z)) = K(x,y). [hyper(11081,a,12969,a)]. 12974 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9024,a(flip),b,12969,a)]. 12978 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(66,a,12736,a,b,12971,a)]. 12979 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(66,a,8980,a(flip),b,12971,a)]. 12982 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12971(a,1),12262(a,1,2,2))]. 12992 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(12967(a,1),9023(a,1,2)),flip(a)]. 12995 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(9860(a,1),12970(a,1))]. 12998 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(12978(a,1),12743(a,1,2)),flip(a)]. 12999 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(66,a,12605,a,b,12965,a)]. 13000 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(66,a,11197,a,b,12965,a)]. 13001 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(66,a,9603,a,b,12965,a)]. 13002 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(66,a,12953,a(flip),b,12965,a),flip(a)]. 13004 K(x,L(T(x \ y,z),x,z)) = K(x,x \ ((z * y) / z)). [hyper(66,a,9907,a,b,12979,a)]. 13005 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(66,a,9593,a,b,12979,a)]. 13006 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(66,a,8679,a(flip),b,12979,a)]. 13007 T(x,R(y,x,z)) = T(x,y). [hyper(285,a,9083,a(flip),b,12992,a),flip(a)]. 13011 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(494(a,1),13007(a,1,2))]. 13012 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(13007(a,1),9027(a,1,1))]. 13013 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(13001(a,1),7790(a,1,1))]. 13014 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(14(a,1),13005(a,1,2,1)),flip(a)]. 13015 K(x \ y,((y / x) \ z) / u) = K(x \ y,(x \ y) \ (z / u)). [hyper(66,a,10305,a,b,13006,a)]. 13016 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(13006(a,1),12721(a,1,2))]. 13017 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(7552,a,12974,a)]. 13018 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11563(a,2),12995(a,1))]. 13020 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(12999(a,1),6115(a,1,1,1,1,2))]. 13021 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(13000(a,1),5805(a,1,2,1,2)),flip(a)]. 13022 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(13002(a,1),10130(a,1,2)),flip(a)]. 13023 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(66,a,10725,a(flip),b,13012,a)]. 13024 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5379(a,1),13012(a,2,2))]. 13027 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7726,a,13013,a)]. 13028 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(66,a,10470,a(flip),b,13027,a)]. 13029 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(13028(a,1),7399(a,1,1,2)),flip(a)]. 13030 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5180,a,13016,a),flip(a)]. 13031 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(285,a,7399,a(flip),b,13029,a),flip(a)]. 13032 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(8426,a,13031,a)]. 13033 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(87(a,1),13032(a,1,2,1,2)),flip(a)]. 13034 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(66,a,9457,a,b,13033,a)]. 13035 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(12971(a,1),13017(a,1,1))]. 13037 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ ((x * z) / x)). [hyper(66,a,9455,a,b,13015,a)]. 13038 K(x \ y,(x \ y) \ (y / z)) = K(x \ y,x / z). [para(90(a,1),13015(a,1,2,1)),flip(a)]. 13039 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(66,a,10647,a(flip),b,13023,a),flip(a)]. 13040 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(285,a,10502,a(flip),b,13022,a),flip(a)]. 13042 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(285,a,12971,a(flip),b,12735,a),flip(a)]. 13044 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(66,a,9915,a(flip),b,13042,a)]. 13045 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3831(a,2),13044(a,1,2,1,2))]. 13046 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(15(a,1),12894(a,1,2,1,2))]. 13047 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(66,a,11156,a(flip),b,13046,a),flip(a)]. 13048 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12926(a,2,2))]. 13049 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(12073(a,1),13047(a,1,2))]. 13050 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [hyper(138,a,13049,a),flip(a)]. 13051 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(10021(a,1),12805(a,1,2,2))]. 13052 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(122,a,12936,a(flip),b,103,a)]. 13053 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5666,a,12945,a),flip(a)]. 13054 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(116(a,1),13051(a,1,2)),flip(a)]. 13055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(66,a,32,a,b,13011,a)]. 13056 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4814(a,1),13034(a,2,2))]. 13057 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(285,a,4123,a(flip),b,13055,a),flip(a)]. 13058 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(285,a,10437,a(flip),b,13056,a),flip(a)]. 13059 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(285,a,10067,a(flip),b,13058,a),flip(a)]. 13060 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(285,a,32,a,b,13057,a),flip(a)]. 13061 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13030(a,1),13060(a,1,1))]. 13062 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(16(a,1),13061(a,1,1,2,2)),flip(a)]. 13063 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(54,a,13062,a)]. 13064 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(13062(a,1),332(a,1,2))]. 13065 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(13062(a,1),5643(a,1,2,1))]. 13066 T(x,x \ R(x,y,z)) = x. [hyper(192,a,13063,a),flip(a)]. 13068 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(124,a,13066,a(flip),b,117,a(flip))]. 13069 R(x,y,z) / x = x \ R(x,y,z). [para(13066(a,1),249(a,1,2))]. 13070 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(13066(a,1),5137(a,1,1,1)),flip(a)]. 13071 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(13066(a,1),5179(a,1,2,1)),flip(a)]. 13072 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12787(a,1),13068(a,1,1))]. 13073 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(13069(a,1),493(a,1,1))]. 13074 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(13069(a,1),9343(a,1,1))]. 13075 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(13069(a,1),11807(a,1,2,2))]. 13076 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7453(a,1),13072(a,1,2)),flip(a)]. 13079 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(597(a,1),13064(a,1,2,1))]. 13081 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(180,a,13079,a)]. 13083 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(87(a,1),13081(a,1,1,1,1)),flip(a)]. 13084 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(13081(a,1),9680(a,1,2,1)),flip(a)]. 13086 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5806(a,1),13083(a,2,1))]. 13087 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(7514(a,1),13083(a,1,1)),flip(a)]. 13088 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(66,a,8918,a,b,13087,a)]. 13089 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6133(a,1),13087(a,1,1))]. 13090 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7681(a,2),13088(a,2,1))]. 13091 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(112(a,1),13089(a,1,1))]. 13093 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(13070(a,2),306(a,1))]. 13095 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(285,a,79,a(flip),b,13071,a),flip(a)]. 13097 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(13095(a,1),8316(a,1,1,2))]. 13098 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7681(a,2),13091(a,2,1))]. 13099 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8330(a,1),13098(a,2,1))]. 13100 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5334(a,1),13073(a,1,1))]. 13101 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(13073(a,2),8083(a,1,1))]. 13102 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(13073(a,1),9021(a,2,2))]. 13103 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(13076(a,2),47(a,1))]. 13104 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(11081,a,13101,a)]. 13105 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5458(a,1),13101(a,2,2))]. 13106 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(13101(a,1),10114(a,2,2))]. 13107 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(66,a,5643,a(flip),b,13065,a),flip(a)]. 13108 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(66,a,6485,a(flip),b,13107,a),flip(a)]. 13111 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(13107(a,1),5097(a,1,1,2))]. 13112 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(285,a,7796,a(flip),b,12769,a),flip(a)]. 13113 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(27(a,2),13112(a,1,1,3))]. 13114 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7761(a,1),13113(a,2,1))]. 13115 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(66,a,7018,a(flip),b,13114,a)]. 13116 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),6588(a,2,2))]. 13117 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),8554(a,2,2))]. 13118 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13116,a),flip(a)]. 13119 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7682(a,1),13118(a,2,2))]. 13120 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(66,a,6581,a(flip),b,13119,a)]. 13121 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13120(a,2),46(a,1))]. 13122 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(66,a,12889,a(flip),b,12845,a),flip(a)]. 13123 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12834(a,1),13122(a,1,1,1)),flip(a)]. 13124 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(285,a,13083,a,b,13123,a),flip(a)]. 13125 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12372(a,1),13124(a,2,1))]. 13126 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12868,a,13125,a),flip(a)]. 13128 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(66,a,470,a,b,13126,a)]. 13129 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [hyper(66,a,114,a,b,13126,a)]. 13130 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(7286(a,1),12982(a,2,2))]. 13132 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(8406(a,1),13130(a,1,2))]. 13133 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(285,a,5805,a(flip),b,13021,a),flip(a)]. 13134 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(66,a,10281,a(flip),b,13133,a)]. 13136 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(285,a,13108,a(flip),b,13134,a),flip(a)]. 13137 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(11497,a,13136,a),flip(a)]. 13139 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(66,a,6720,a(flip),b,13137,a),flip(a)]. 13140 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(66,a,12086,a(flip),b,13139,a)]. 13141 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(285,a,12097,a(flip),b,13140,a),flip(a)]. 13142 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(32(a,2),13141(a,1,2))]. 13143 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(66,a,6959,a(flip),b,13142,a)]. 13144 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(285,a,10698,a(flip),b,13143,a),flip(a)]. 13145 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(66,a,8542,a(flip),b,13144,a)]. 13146 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2090(a,1),13145(a,2,2,1))]. 13147 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(13146(a,1),11464(a,1,1,2))]. 13148 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(285,a,7761,a(flip),b,12717,a),flip(a)]. 13149 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(285,a,1086,a(flip),b,12942,a),flip(a)]. 13150 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(285,a,1514,a(flip),b,13149,a),flip(a)]. 13151 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9704(a,1),13150(a,2,1,2))]. 13152 (x * R(x \ y,z,x \ y)) / y != u | T(a(1 / (x / y),z,1 / (x / y)),w) = u. [para(13151(a,1),4222(a,1))]. 13153 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(66,a,6115,a(flip),b,13020,a),flip(a)]. 13154 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(66,a,8123,a(flip),b,13153,a),flip(a)]. 13155 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(66,a,13040,a(flip),b,13154,a),flip(a)]. 13157 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(285,a,626,a(flip),b,13155,a),flip(a)]. 13159 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(4611(a,1),13157(a,1,1))]. 13160 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(13159(a,1),11470(a,1,2))]. 13161 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(66,a,12596,a(flip),b,13160,a)]. 13163 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7682(a,1),13161(a,1,2))]. 13164 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(66,a,6246,a,b,13163,a)]. 13165 L(x,y \ 1,K(z,y)) = x. [hyper(5648,a,13164,a)]. 13166 L(x,y,K(z,y \ 1)) = x. [hyper(66,a,7072,a(flip),b,13165,a)]. 13167 L(x,y \ 1,K(z,y)) != u | x = u. [para(13165(a,1),53(a,2))]. 13168 L(x,y,K(z,y \ 1)) != u | x = u. [para(13166(a,1),53(a,2))]. 13170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5193(a,1),13074(a,2,1))]. 13171 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12777(a,1),13170(a,1,1))]. 13172 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(285,a,9366,a,b,13171,a)]. 13173 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(13103,a,13172,a)]. 13174 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(13173(a,1),13129(a,1,1,1,1))]. 13175 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(13171(a,1),13174(a,1,1,1))]. 13176 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(593(a,1),13175(a,1,1))]. 13177 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(285,a,13173,a(flip),b,13176,a),flip(a)]. 13178 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(13152,a,13177,a)]. 13179 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11508(a,1),13178(a,1,1))]. 13180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(285,a,6304,a(flip),b,13086,a),flip(a)]. 13181 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6302(a,1),13180(a,1,1)),flip(a)]. 13182 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(13181(a,1),12819(a,1,2))]. 13183 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(187(a,1),13097(a,1,1))]. 13185 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7396(a,1),13183(a,1,2))]. 13186 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6966(a,1),13185(a,1,2)),flip(a)]. 13187 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(285,a,12,a(flip),b,13186,a),flip(a)]. 13188 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5452,a,13187,a)]. 13189 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6076(a,1),13188(a,1,2,2))]. 13190 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(10159(a,1),13188(a,1,1))]. 13191 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11625(a,1),13188(a,1,1))]. 13192 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5653,a,13191,a)]. 13193 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10040(a,1),13191(a,1,2,2))]. 13194 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(11744,a,13192,a)]. 13196 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(11748(a,1),13193(a,1,2))]. 13197 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5453,a,13196,a)]. 13198 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(13196(a,1),5453(a,1)),flip(b)]. 13200 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,13194,a,b,13197,a)]. 13201 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(66,a,13039,a(flip),b,13197,a)]. 13203 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(13201(a,1),10544(a,1,1))]. 13205 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(13200(a,1),11764(a,1,1)),flip(a)]. 13206 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(51,a,13205,a)]. 13208 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(7546,a,13206,a),flip(a)]. 13209 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(285,a,8826,a,b,13206,a)]. 13210 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(66,a,7001,a,b,13206,a)]. 13212 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(13194(a,2),13198(a,1))]. 13213 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(13212,a,13208,a),flip(a)]. 13215 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(285,a,11773,a(flip),b,13213,a),flip(a)]. 13216 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(285,a,10620,a(flip),b,13104,a),flip(a)]. 13217 K(a(x,y,z),x) = 1. [hyper(13093,a,13216,a),flip(a)]. 13220 T(a(x,y,z),x) = a(x,y,z). [hyper(59,a,13217,a)]. 13221 T(x,a(x,y,z)) = x. [hyper(57,a,13220,a)]. 13222 a(x,y,z) * x = x * a(x,y,z). [hyper(124,a,13220,a(flip),b,27,a(flip)),flip(a)]. 13223 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3935(a,2),13220(a,1,1))]. 13224 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(13221(a,1),222(a,1,2,1)),flip(a)]. 13225 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(66,a,11150,a(flip),b,13222,a),flip(a)]. 13226 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(66,a,13179,a(flip),b,13223,a),flip(a)]. 13227 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(13224(a,1),1564(a,2,2,1,2)),flip(a)]. 13228 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(13225(a,1),11151(a,1,2,2))]. 13229 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(66,a,7150,a(flip),b,13228,a)]. 13230 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(66,a,12916,a,b,13229,a)]. 13231 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(285,a,11268,a(flip),b,13230,a),flip(a)]. 13233 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(66,a,9856,a,b,13231,a)]. 13234 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5798(a,1),13111(a,1,1))]. 13235 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,32,a,b,13234,a)]. 13236 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5097(a,1),13235(a,1,1)),flip(a)]. 13237 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(285,a,34,a(flip),b,13236,a),flip(a)]. 13238 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(13237(a,1),1825(a,1,1,1)),flip(a)]. 13239 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5798(a,1),13147(a,1,1))]. 13240 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5785(a,1),13239(a,1,1,1,2))]. 13241 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(66,a,32,a,b,13240,a)]. 13242 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(5719(a,1),13241(a,1,1)),flip(a)]. 13243 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(285,a,9222,a(flip),b,13148,a),flip(a)]. 13244 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(8426,a,13243,a)]. 13245 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(66,a,10806,a(flip),b,13244,a)]. 13247 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(66,a,11531,a(flip),b,13245,a)]. 13248 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9575,a,13247,a),flip(a)]. 13250 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(161(a,1),13247(a,2,2))]. 13251 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(13247(a,1),6670(a,1))]. 13252 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(66,a,12544,a(flip),b,13250,a)]. 13254 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(14(a,1),13252(a,2,2))]. 13255 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10873,a(flip),b,13254,a),flip(a)]. 13257 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(66,a,10492,a,b,13255,a)]. 13259 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(66,a,8928,a(flip),b,13257,a)]. 13260 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(79(a,1),13248(a,1,2,2))]. 13261 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9295(a,1),13189(a,1,1))]. 13262 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5125(a,2),13261(a,1,2))]. 13264 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6120(a,1),13262(a,1,1))]. 13265 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(285,a,9211,a(flip),b,13264,a),flip(a)]. 13266 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2232,a,13265,a)]. 13268 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(13266(a,1),11904(a,1,1,2))]. 13270 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(355(a,1),13233(a,2,2))]. 13271 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(285,a,9032,a(flip),b,13270,a),flip(a)]. 13273 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(66,a,8710,a(flip),b,13271,a)]. 13275 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12940(a,1),12813(a,1,1)),flip(a)]. 13276 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(66,a,10392,a(flip),b,13275,a),flip(a)]. 13278 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7782,a,13276,a)]. 13280 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(28(a,1),13278(a,1,2,2))]. 13281 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8565(a,1),13278(a,1,1,2))]. 13282 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(9341(a,1),13278(a,1,1))]. 13283 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9769(a,1),13278(a,1,1))]. 13284 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(13280(a,1),47(a,1))]. 13285 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6421(a,1),13106(a,1,2))]. 13286 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(66,a,10159,a(flip),b,13285,a)]. 13287 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7681(a,2),13190(a,1,2,2,1))]. 13288 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(32(a,2),13210(a,1,1))]. 13289 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5334(a,1),13287(a,1,2))]. 13290 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,13215,a(flip),b,13288,a),flip(a)]. 13291 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(13290(a,1),11753(a,1,1))]. 13292 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(285,a,7720,a(flip),b,13291,a),flip(a)]. 13293 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(38,a,11796,a,b,13289,a),flip(a)]. 13295 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2720(a,1),13293(a,1,2,2))]. 13296 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(285,a,7908,a,b,13295,a),flip(a)]. 13297 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(13295(a,1),7888(a,1,2)),flip(a)]. 13298 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),13296(a,1,2,2))]. 13299 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7145(a,1),13298(a,1,2)),flip(a)]. 13300 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(66,a,10119,a,b,13299,a)]. 13301 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(66,a,7908,a,b,13299,a)]. 13302 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7764(a,1),13299(a,1,2)),flip(a)]. 13303 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(17(a,1),13300(a,2,2,2))]. 13304 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(285,a,7908,a,b,13301,a),flip(a)]. 13305 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(285,a,7881,a,b,13303,a),flip(a)]. 13306 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(66,a,10280,a(flip),b,13304,a),flip(a)]. 13307 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(66,a,10189,a(flip),b,13305,a)]. 13309 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(13307(a,1),8942(a,1,1))]. 13310 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(13307(a,1),9924(a,1,1))]. 13311 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(13310(a,1),4783(a,1)),flip(b)]. 13312 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7908(a,1),13310(a,1,1))]. 13314 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7331(a,2),13311(a,1))]. 13315 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7761(a,1),13311(a,1,2))]. 13318 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7861(a,2),13311(a,1))]. 13321 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7884(a,1),13311(a,1))]. 13322 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7884(a,2),13311(a,1))]. 13328 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(10124(a,1),13311(a,1))]. 13329 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10277(a,1),13311(a,1))]. 13330 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(10665(a,2),13311(a,1))]. 13341 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(66,a,10157,a(flip),b,13312,a)]. 13345 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(87(a,1),13341(a,1,2,2,2))]. 13346 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7927,a,13309,a)]. 13347 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(87(a,1),13309(a,1,2)),flip(a)]. 13349 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7859(a,1),13346(a,1,1))]. 13350 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7884(a,1),13347(a,2,1))]. 13351 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8945,a,13349,a)]. 13352 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(180,a,13350,a)]. 13353 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11363(a,1),13351(a,1,1,1,1))]. 13355 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(5283,a,13352,a)]. 13356 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(56,a,13355,a)]. 13357 a(K(x * y,K(z,u)),x,y) = 1. [para(14(a,1),13356(a,1,3))]. 13358 a(K(K(x,y),z),u,u \ z) = 1. [para(7331(a,2),13356(a,1,1))]. 13359 a(K(x,K(y,z * u)),z,u) = 1. [para(7859(a,1),13357(a,1,1))]. 13360 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(285,a,7925,a,b,13358,a),flip(a)]. 13361 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(285,a,7862,a(flip),b,13297,a),flip(a)]. 13362 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(66,a,12261,a(flip),b,13361,a)]. 13363 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8235(a,2),13315(a,1))]. 13364 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10261(a,2),13328(a,1))]. 13366 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7761(a,1),13302(a,1,2))]. 13368 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7990(a,1),13362(a,1,2)),flip(a)]. 13369 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8014(a,1),13368(a,1,2)),flip(a)]. 13370 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10198,a,13369,a),flip(a)]. 13371 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(7145(a,1),13369(a,1,2)),flip(a)]. 13372 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(66,a,8532,a(flip),b,13371,a),flip(a)]. 13373 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13372(a,1),5306(a,1,1))]. 13375 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9953(a,2),13363(a,1))]. 13376 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10090,a,13370,a),flip(a)]. 13377 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(10068,a,13376,a)]. 13378 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(285,a,5130,a(flip),b,13377,a),flip(a)]. 13379 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5207,a,13378,a)]. 13380 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13379(a,1),13259(a,1,1))]. 13381 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(17(a,1),13306(a,1,2,1)),flip(a)]. 13382 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(13345(a,1),13360(a,2,2))]. 13383 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(13321,a,13381,a)]. 13384 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(66,a,13366,a(flip),b,13383,a)]. 13385 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(13384(a,1),7915(a,2,2))]. 13386 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(7881(a,1),13385(a,2,2))]. 13387 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7884(a,2),13382(a,2,2))]. 13388 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7331(a,1),13387(a,1,1))]. 13389 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(285,a,11986,a(flip),b,13388,a)]. 13390 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(285,a,13359,a(flip),b,13389,a),flip(a)]. 13391 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(66,a,12267,a(flip),b,13390,a)]. 13392 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(14(a,1),13391(a,1,2,2,2,3))]. 13393 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8288(a,1),13380(a,1,1,2))]. 13394 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7700(a,1),13393(a,1,1)),flip(a)]. 13395 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(285,a,10572,a(flip),b,13394,a),flip(a)]. 13397 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(462(a,1),13395(a,1,2,1,1)),flip(a)]. 13398 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(7551,a,13397,a)]. 13399 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(66,a,10673,a(flip),b,13398,a),flip(a)]. 13401 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(66,a,13247,a(flip),b,13399,a)]. 13402 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(79(a,1),13401(a,1,2,2))]. 13403 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(66,a,6110,a(flip),b,13402,a)]. 13405 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13403(a,2),5320(a,1,1))]. 13406 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6137,a,13405,a)]. 13407 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(355(a,2),13406(a,2,2)),flip(a)]. 13408 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(66,a,12039,a(flip),b,13100,a),flip(a)]. 13410 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12829(a,1),12923(a,2,2))]. 13411 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(285,a,12826,a(flip),b,13410,a),flip(a)]. 13413 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(12858(a,1),13411(a,1,1))]. 13415 L(x,a(x,y,x),z) = x. [para(12919(a,1),13413(a,1,3))]. 13416 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(13415(a,1),410(a,1,2,1))]. 13417 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5150(a,1),13024(a,1,1)),flip(a)]. 13418 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5150(a,1),13417(a,2,2,1))]. 13419 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),13048(a,2,2,1))]. 13421 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12789(a,1),13419(a,2,2))]. 13422 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(285,a,14,a(flip),b,13421,a),flip(a)]. 13423 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4902,a,13422,a),flip(a)]. 13425 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12858(a,1),12809(a,2,1,1))]. 13427 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12859(a,1),13425(a,1,1))]. 13429 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12858(a,1),13427(a,1,2)),flip(a)]. 13430 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(66,a,13054,a,b,13429,a)]. 13431 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5150(a,1),13430(a,1,1,2)),flip(a)]. 13432 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5150(a,1),13431(a,2,2))]. 13433 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4481(a,1),13099(a,1,1))]. 13434 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4555(a,1),13182(a,1,2,1)),flip(a)]. 13435 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7997(a,1),13433(a,1,1,2))]. 13436 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9528,a,13435,a),flip(a)]. 13438 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9568(a,1),13436(a,1,1))]. 13439 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(66,a,9867,a(flip),b,13438,a)]. 13440 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(66,a,7033,a(flip),b,13438,a)]. 13441 R(K(x,y),L(x,z,u),w) = v5 / (K(y,x) * v5). [para(13438(a,1),6135(a,1,2,1)),flip(a)]. 13443 R(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,5448,a(flip),b,13441,a),flip(a)]. 13444 K(x,(L(x,y,z) * u) / w) = K(x,(w / u) \ L(x,y,z)). [hyper(66,a,6583,a(flip),b,13443,a)]. 13446 K(((x * y) / x) \ L(z,u,w),z) = K(L(z,u,w) * (y \ K(y,x)),z). [para(5413(a,1),13439(a,1,1,2)),flip(a)]. 13447 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(285,a,6481,a(flip),b,13440,a),flip(a)]. 13449 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,9534,a(flip),b,13444,a),flip(a)]. 13450 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(L(x,w,v5) * u) / z). [hyper(66,a,7188,a(flip),b,13444,a),flip(a)]. 13451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(66,a,10735,a,b,13447,a)]. 13452 T(x,y) \ T(x * K((z / u) \ L(x,w,v5),x),y) = K((L(x,w,v5) * u) / z,T(x,y)). [para(13447(a,1),5722(a,1,2,1,2))]. 13453 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(8429,a,13451,a)]. 13454 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(10963,a,13453,a)]. 13455 K(x / (y / L(z,u,w)),z) = K((y / x) \ L(z,u,w),z). [hyper(66,a,10353,a,b,13454,a)]. 13456 K((x * L(y,z,u)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,9514,a,b,13455,a)]. 13457 K((x * T(L(y,z,u),w)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,10355,a,b,13456,a)]. 13458 K((x * L(T(y,z),u,w)) / z,y) = K((z / x) \ L(y,u,w),y). [para(30(a,2),13457(a,1,1,1,2))]. 13459 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(z / u) \ L(x,w,v5)). [hyper(285,a,13444,a(flip),b,13450,a),flip(a)]. 13460 K(x,((y * (z * (1 / (1 / (z \ (y \ u)))))) / w) \ L(x,v5,v6)) = K(x,(u / w) \ L(x,v5,v6)). [para(2784(a,1),13459(a,1,2,1,1))]. 13461 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(w \ 1,u)). [hyper(285,a,9530,a(flip),b,13449,a),flip(a)]. 13463 K((L(x,y,z) * u) / w,T(x,v5)) = K((w / u) \ L(x,y,z),T(x,v5)). [hyper(5865,a,13452,a),flip(a)]. 13465 K((x / y) \ L(z,u,w),T(z,y)) != v5 | K(x \ (L(z,u,w) * y),z) = v5. [para(13463(a,1),10988(a,1))]. 13466 K(x,T((1 / (1 / (y \ (L(x,z,u) \ w)))) \ 1,y)) = K(x,(w / y) \ L(x,z,u)). [hyper(66,a,13461,a(flip),b,13460,a)]. 13467 K(x,T(1 / (y \ (L(x,z,u) \ w)),y)) = K(x,(w / y) \ L(x,z,u)). [para(90(a,1),13466(a,1,2,1))]. 13468 K(x,y / (L(x,z,u) \ w)) = K(x,(w / y) \ L(x,z,u)). [hyper(10991,a,13467,a)]. 13470 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9716(a,2),12807(a,1,2,2))]. 13471 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * T(y \ x,K(y,z)))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(12475(a,2),12939(a,1,2,2,2))]. 13472 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12833(a,1),13128(a,1,1,1))]. 13473 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(473(a,1),13472(a,1,1))]. 13474 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(285,a,1825,a(flip),b,13238,a),flip(a)]. 13475 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(32(a,2),13474(a,2,3))]. 13476 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10283(a,1),13282(a,1,1)),flip(a)]. 13477 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7687(a,1),13476(a,2,2))]. 13479 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(66,a,13423,a(flip),b,13477,a),flip(a)]. 13481 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(28(a,1),13479(a,1,1,2))]. 13482 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(4604(a,1),13283(a,1,1))]. 13483 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5547(a,2),13353(a,1,1))]. 13484 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(13314,a,13483,a)]. 13485 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(66,a,13301,a(flip),b,13484,a)]. 13486 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(17(a,1),13485(a,1,2,2)),flip(a)]. 13487 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(13322,a,13486,a)]. 13488 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(103(a,1),13470(a,1,2)),flip(a)]. 13489 (x * K(y,z)) \ (R(y,u,y) * ((y \ x) * K(y,z))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(116(a,1),13471(a,1,2,2))]. 13490 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(11180(a,1),13489(a,1,2))]. 13491 L(a(x,y,x),T(z,K(x,u)),K(x,u)) = a(x,y,x). [hyper(66,a,12950,a(flip),b,13490,a),flip(a)]. 13493 L(a(x,y,x),z,K(x,u)) = a(x,y,x). [para(208(a,1),13491(a,1,2))]. 13495 x \ (K(y,z) \ ((a(y,u,y) * K(y,z)) * x)) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(13493(a,1),1127(a,1,2,2,1,1))]. 13497 x \ (K(y,z) \ (K(y,z) * (a(y,u,y) * x))) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(12935(a,1),13495(a,1,2,2))]. 13498 R(T(a(x,y,x),K(x,z) * u),K(x,z),u) = u \ (a(x,y,x) * u). [para(14(a,1),13497(a,1,2)),flip(a)]. 13501 R(T(a(x,y,x),z),K(x,u),w) = w \ (a(x,y,x) * w). [para(12869(a,1),13498(a,1,1))]. 13502 R(T(a(x,y,x),z),K(x,u),w) = T(a(x,y,x),w). [hyper(285,a,27,a,b,13501,a),flip(a)]. 13505 R(a(x,y,x),K(x,z),u) = a(x,y,x). [hyper(144,a,13502,a(flip))]. 13506 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12468(a,1),13482(a,1,1))]. 13507 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5830(a,1),13506(a,1,2))]. 13508 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8391(a,1),13507(a,1,2))]. 13509 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(285,a,13226,a(flip),b,13508,a),flip(a)]. 13510 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12840(a,1),13052(a,1,1))]. 13511 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(7646(a,1),13510(a,1,1))]. 13513 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(13511(a,1),304(a,1)),flip(b)]. 13515 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13117,a),flip(a)]. 13516 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7682(a,1),13515(a,2,2))]. 13517 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13516(a,1,1,2,2,1))]. 13518 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8538(a,1),13517(a,1,1,2))]. 13519 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7693(a,1),13518(a,1,1))]. 13520 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13519(a,1,2,1,1,1))]. 13522 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13520(a,1),5279(a,1,2)),flip(a)]. 13523 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(285,a,5544,a(flip),b,13522,a),flip(a)]. 13524 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4072,a,13523,a)]. 13526 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(66,a,8396,a(flip),b,13524,a),flip(a)]. 13527 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13526(a,2),13132(a,1,1))]. 13528 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2539(a,1),13075(a,1,2)),flip(a)]. 13530 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8852(a,1),13528(a,1,2,1))]. 13531 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11803(a,1),13530(a,1,2)),flip(a)]. 13532 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8852(a,1),13531(a,2,3))]. 13533 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(66,a,13268,a(flip),b,13532,a),flip(a)]. 13535 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12777(a,1),13533(a,1,2))]. 13536 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12886(a,2),13535(a,1,3))]. 13537 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(492,a,13536,a)]. 13538 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12886(a,1),13537(a,1,2))]. 13539 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(285,a,12862,a(flip),b,13538,a),flip(a)]. 13540 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(13538(a,2),12867(a,1))]. 13541 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(66,a,9220,a(flip),b,13539,a),flip(a)]. 13542 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(8986(a,1),13209(a,1,1,2))]. 13543 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(586(a,1),13542(a,1,1))]. 13544 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(223(a,1),13543(a,1,2)),flip(a)]. 13545 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(285,a,1825,a(flip),b,13544,a),flip(a)]. 13546 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(32(a,2),13545(a,2,3))]. 13547 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(66,a,13206,a(flip),b,13546,a)]. 13548 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(13212,a,13547,a)]. 13550 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(66,a,11774,a(flip),b,13548,a),flip(a)]. 13552 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13475,a,b,13550,a)]. 13553 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12818,a,13552,a)]. 13554 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(13553(a,1),13434(a,1,2)),flip(a)]. 13555 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(27(a,2),13554(a,2,2,2))]. 13556 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(11773(a,1),13555(a,2,2))]. 13557 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8906(a,1),13281(a,1,1))]. 13558 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7995(a,1),13557(a,1,1))]. 13559 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9977(a,1),13558(a,1,1))]. 13560 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6468(a,1),13559(a,1,2))]. 13561 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8967(a,1),13560(a,1,2))]. 13562 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(66,a,13509,a(flip),b,13561,a),flip(a)]. 13563 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(9261(a,1),12832(a,1,2)),flip(a)]. 13564 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(285,a,12333,a(flip),b,13563,a),flip(a)]. 13566 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12789(a,1),13564(a,2,1))]. 13567 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(285,a,13416,a(flip),b,13566,a),flip(a)]. 13568 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12940(a,1),13567(a,1,2))]. 13570 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13568(a,1),13227(a,1,1))]. 13572 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13570(a,1),304(a,1)),flip(b)]. 13574 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(66,a,10509,a(flip),b,13045,a)]. 13575 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(66,a,5836,a(flip),b,13574,a)]. 13576 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(12683,a,13575,a)]. 13578 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(6321(a,1),13576(a,1,2,1))]. 13579 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(9881,a,13578,a),flip(a)]. 13580 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,12644,a(flip),b,13579,a),flip(a)]. 13581 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,8604,a(flip),b,13580,a),flip(a)]. 13583 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(285,a,9456,a(flip),b,13581,a),flip(a)]. 13584 K(x,L(y,x,z)) = K(x,y). [hyper(9884,a,13583,a),flip(a)]. 13586 K(x,L(y,x,z)) != u | K(x,y) = u. [para(13583(a,1),9884(a,1))]. 13587 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(9454,a,13584,a)]. 13589 K(L(x,y,z),y) = K(x,y). [hyper(66,a,8731,a,b,13584,a)]. 13591 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(66,a,13059,a(flip),b,13584,a)]. 13592 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [hyper(66,a,13004,a(flip),b,13584,a)]. 13595 L(x,y,z) * (K(y,L(x,y,z)) * u) = (L(x,y,z) * K(y,x)) * u. [para(13584(a,1),4409(a,1,1,2)),flip(a)]. 13600 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(66,a,9349,a(flip),b,13589,a)]. 13604 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9113(a,1),13586(a,1))]. 13605 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(10022(a,1),13586(a,1))]. 13607 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(13587(a,1),9415(a,1,2))]. 13609 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(285,a,11390,a,b,13591,a)]. 13610 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(285,a,4943,a,b,13591,a)]. 13611 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(124,a,13591,a,b,5125,a(flip))]. 13616 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(87(a,1),13600(a,1,1,1))]. 13621 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [para(15(a,1),13592(a,1,2,2,1)),flip(a)]. 13622 (x * K(y,y \ z)) * z = x * (y * (z / y)). [hyper(66,a,12998,a,b,13607,a)]. 13624 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(13609(a,1),5190(a,2,1)),flip(a)]. 13625 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(5180,a,13611,a)]. 13626 T(x,T(x \ y,z)) = (x \ T(y,z)) \ T(y,z). [hyper(285,a,117,a(flip),b,13625,a),flip(a)]. 13627 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(66,a,3038,a(flip),b,13625,a),flip(a)]. 13628 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(13627(a,1),249(a,1,2))]. 13629 K(x,T(x \ (y \ z),z)) = K(x,x \ (z / y)). [hyper(66,a,10401,a,b,13621,a)]. 13630 R(x,K(y,y \ z),z) = x. [hyper(5570,a,13622,a)]. 13631 R(x,K(y,z),z * y) = x. [para(5336(a,1),13630(a,1,2))]. 13632 x / (K(y,z) * (z * y)) = (x / (z * y)) * K(z,y). [hyper(66,a,7425,a(flip),b,13631,a)]. 13633 K(x,x \ (y / (y / z))) = K(x,T(x \ z,y)). [para(90(a,1),13629(a,1,2,1,2)),flip(a)]. 13634 K(x,x \ ((y * z) / y)) = K(x,x \ (y / (y / z))). [hyper(285,a,13592,a,b,13633,a)]. 13640 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(627,a,13628,a)]. 13641 (x / (y * z)) * K(y,z) = x / (z * y). [para(5146(a,1),13632(a,1,2)),flip(a)]. 13643 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(13641(a,1),6311(a,1,1)),flip(a)]. 13644 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(13641(a,1),6336(a,1,1))]. 13647 (x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y). [para(17(a,1),13643(a,1,1,2)),flip(a)]. 13648 (1 / (x * y)) * (T(x,y) * T(T(x,y) \ (x * y),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(13643(a,1),5966(a,2,1,1))]. 13649 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ (x / (x / z))). [hyper(66,a,13037,a,b,13634,a)]. 13650 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(66,a,7301,a(flip),b,13640,a),flip(a)]. 13651 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5410,a,13644,a)]. 13652 a((x * y) \ 1,y,x) / x = (1 / (y * x)) * y. [hyper(66,a,10252,a(flip),b,13651,a)]. 13653 1 / L(x,y,(x * y) \ 1) = (1 / (y * x)) * y. [hyper(66,a,12063,a(flip),b,13652,a)]. 13654 (1 / ((x \ y) * x)) * (x \ y) = 1 / L(x,x \ y,y \ 1). [para(15(a,1),13653(a,1,2,3,1)),flip(a)]. 13655 L(x,y,(x * y) \ 1) \ 1 = T((1 / (y * x)) * y,x). [para(13653(a,1),10458(a,1,1)),flip(a)]. 13656 1 / T((1 / (x * y)) * x,y) = L(y,x,(y * x) \ 1). [hyper(185,a,13655,a)]. 13657 L(x,y,(y * x) \ 1) = L(x,y,(x * y) \ 1). [hyper(10466,a,13656,a)]. 13658 L(x \ y,x,((x \ y) * x) \ 1) = L(x \ y,x,y \ 1). [para(15(a,1),13657(a,1,3,1)),flip(a)]. 13659 L(x,y / x,(x * (y / x)) \ 1) = L(x,y / x,y \ 1). [para(17(a,1),13657(a,1,3,1)),flip(a)]. 13660 (x / (y * (z / y))) * (z / y) = (x / z) * (y \ z). [para(118(a,1),13647(a,2,2))]. 13661 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(y / x,x). [para(13660(a,1),5883(a,1,1)),flip(a)]. 13662 L(x \ y,x,((x \ y) * x) \ 1) = ((1 / y) * x) \ 1. [hyper(285,a,3666,a(flip),b,13658,a),flip(a)]. 13663 K((((1 / x) * y) \ 1) / ((((y \ x) * y) \ 1) * x),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13662(a,1),5837(a,1,1,1))]. 13664 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(66,a,9901,a(flip),b,13624,a),flip(a)]. 13665 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(13664(a,2),4519(a,1,2))]. 13666 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(263,a,13665,a)]. 13667 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(13666(a,1),8816(a,1,1))]. 13668 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(13667(a,1),11245(a,1,1)),flip(a)]. 13669 T(x,L(y,x,z)) = T(x,y). [hyper(8506,a,13595,a(flip))]. 13672 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(66,a,9354,a(flip),b,13669,a)]. 13674 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(124,a,13669,a(flip),b,27,a(flip))]. 13676 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(459(a,1),13669(a,1,2))]. 13680 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(13674(a,1),1247(a,1,2,2))]. 13681 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(x \ y,x). [para(5323(a,1),13661(a,2,2))]. 13682 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(285,a,8813,a(flip),b,13668,a),flip(a)]. 13683 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(66,a,5389,a(flip),b,13682,a),flip(a)]. 13684 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(16(a,1),13683(a,2,1))]. 13685 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(27(a,2),13684(a,1,3))]. 13686 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(13685(a,1),5285(a,1,2))]. 13687 L(x,y / x,(x * (y / x)) \ 1) = L(x,x \ y,y \ 1). [hyper(285,a,5677,a(flip),b,13681,a),flip(a)]. 13688 L(x,y / x,y \ 1) = L(x,x \ y,y \ 1). [hyper(66,a,13659,a(flip),b,13687,a)]. 13689 1 / L(x,x \ y,y \ 1) = (1 / y) * (y / x). [para(13688(a,1),3669(a,1,2))]. 13690 (1 / ((x \ y) * x)) * (x \ y) = (1 / y) * (y / x). [hyper(66,a,13654,a,b,13689,a)]. 13691 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((1 / ((x \ y) * x)) * y) / ((1 / y) * (y / x)),z). [para(13690(a,1),9904(a,1,1,2)),flip(a)]. 13692 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(66,a,11724,a(flip),b,13686,a),flip(a)]. 13693 K(x * y,z) * x = x * K(y * x,z). [hyper(13121,a,13692,a)]. 13694 K(x * y,T(z,x)) = K(y * x,z). [hyper(7726,a,13693,a)]. 13695 K(x * y,T(z,y)) = K(y * x,z). [hyper(38,a,7997,a,b,13693,a)]. 13700 K(x * y,z) * y = y * K(y * x,z). [para(13694(a,1),7997(a,1,1))]. 13701 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13694(a,1),8503(a,1,2)),flip(a)]. 13702 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13694(a,1),11906(a,1,1))]. 13703 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [hyper(124,a,13695,a(flip),b,5125,a(flip))]. 13706 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13700(a,1),13527(a,1,1,1))]. 13707 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6545,a,13703,a)]. 13708 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(122,a,13707,a,b,4913,a)]. 13709 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13701(a,2),7399(a,1,1))]. 13710 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13709(a,1),7516(a,1,2)),flip(a)]. 13711 K(x,T(y * z,y)) = K(x,z * y). [hyper(8642,a,13710,a(flip))]. 13712 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(11021,a,13711,a)]. 13713 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(11020,a,13711,a)]. 13715 K(x,T(y * z,z)) = K(x,z * y). [hyper(66,a,10086,a,b,13711,a)]. 13717 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13711(a,1),13366(a,1,2)),flip(a)]. 13718 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(13715(a,1),7779(a,1,1))]. 13719 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(285,a,13407,a(flip),b,13713,a),flip(a)]. 13720 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(13328,a,13717,a)]. 13721 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(5744,a,13718,a)]. 13722 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(66,a,10132,a(flip),b,13720,a),flip(a)]. 13723 T(x,T(y * z,z)) = T(x,z * y). [hyper(37,a,7825,a,b,13721,a)]. 13724 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [hyper(8241,a,13723,a)]. 13726 T(x,T(y * z,y)) = T(x,z * y). [hyper(37,a,7825,a,b,13724,a)]. 13727 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(66,a,8819,a(flip),b,13719,a),flip(a)]. 13728 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13406,a(flip),b,13727,a)]. 13729 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13273,a,b,13728,a)]. 13730 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),13728(a,1,2)),flip(a)]. 13731 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13728(a,1),13296(a,1,2))]. 13732 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2969(a,1),13731(a,1,2,2))]. 13733 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13732(a,1),13386(a,2,2))]. 13734 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(87(a,1),13733(a,1,1)),flip(a)]. 13736 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7884(a,2),13734(a,1,2))]. 13737 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(27(a,2),13736(a,1,1))]. 13738 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6145(a,2),13706(a,1,2,2))]. 13739 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(7049(a,1),13702(a,1,1,1))]. 13740 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(66,a,10582,a(flip),b,13722,a),flip(a)]. 13741 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(13328,a,13740,a)]. 13742 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6631(a,2),13741(a,2,2))]. 13743 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(15(a,1),13708(a,1,2,2,1))]. 13744 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(66,a,5895,a(flip),b,13743,a),flip(a)]. 13745 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3034(a,1),13744(a,1,1))]. 13746 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(285,a,7085,a(flip),b,13745,a),flip(a)]. 13747 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13746(a,1),7303(a,1,1)),flip(a)]. 13748 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(90(a,1),13747(a,1,1,2,1)),flip(a)]. 13749 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(185,a,13748,a)]. 13750 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(66,a,13650,a,b,13749,a),flip(a)]. 13751 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13750(a,1),2383(a,1,1))]. 13752 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7280(a,2),13751(a,1,1))]. 13753 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(14(a,1),13752(a,1,1,1,1)),flip(a)]. 13754 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1277,a,13753,a)]. 13755 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(11974(a,2),13754(a,2,1,1))]. 13756 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,y / (x / z)). [hyper(285,a,13038,a(flip),b,13649,a),flip(a)]. 13757 K(x / y,(x / y) \ z) = K(y \ x,y / (x / z)). [hyper(13586,a,13756,a)]. 13759 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(285,a,30,a,b,13676,a),flip(a)]. 13760 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(66,a,30,a,b,13759,a)]. 13761 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(116(a,1),13680(a,1,1,1))]. 13762 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1559,a,13761,a),flip(a)]. 13763 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(116(a,1),13762(a,1,2))]. 13764 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(66,a,6658,a(flip),b,13763,a),flip(a)]. 13766 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(13764(a,1),6653(a,1,1))]. 13767 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(13604,a,13766,a),flip(a)]. 13768 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(13767(a,1),12594(a,1,1))]. 13769 L(K(x,x * y),y,z) = K(x,x * y). [para(8730(a,1),13768(a,1,1))]. 13771 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(66,a,9928,a,b,13769,a)]. 13772 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(66,a,12686,a(flip),b,13769,a)]. 13773 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(13769(a,2),5344(a,1,2))]. 13775 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6645,a,13772,a)]. 13777 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(66,a,12640,a,b,13772,a)]. 13778 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(66,a,10489,a(flip),b,13772,a),flip(a)]. 13779 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(66,a,10486,a(flip),b,13772,a)]. 13780 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1245(a,1),13772(a,1,2))]. 13781 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(13772(a,1),6653(a,1,1))]. 13782 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(7040(a,2),13775(a,1,2,1))]. 13783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(66,a,10890,a,b,13779,a)]. 13784 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(13779(a,1),9228(a,1,1))]. 13785 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6035,a,13773,a)]. 13786 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9268(a,2),13773(a,1,2))]. 13787 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(66,a,12688,a(flip),b,13785,a),flip(a)]. 13788 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(66,a,11591,a(flip),b,13785,a)]. 13790 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(15(a,1),13787(a,1,1,2,1)),flip(a)]. 13791 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(203(a,2),13787(a,1,1,2))]. 13792 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(103(a,1),13787(a,1,1,2,1))]. 13793 K((x / y) \ z,T(z,y)) = K(z * (x \ y),z). [hyper(66,a,9375,a,b,13790,a)]. 13794 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(66,a,9305,a(flip),b,13790,a),flip(a)]. 13795 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(66,a,6665,a(flip),b,13790,a)]. 13796 K(x \ (y * z),y) = K(y * (x \ z),y). [para(14(a,1),13794(a,1,1,2,2)),flip(a)]. 13797 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(66,a,9304,a,b,13795,a)]. 13798 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(13795(a,1),5803(a,1,1,1,2))]. 13799 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(13796(a,1),9145(a,1,1))]. 13800 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(16(a,1),13797(a,1,1,1)),flip(a)]. 13801 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [hyper(124,a,13777,a(flip),b,5125,a(flip)),flip(a)]. 13803 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(285,a,5130,a,b,13801,a),flip(a)]. 13804 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(66,a,12540,a(flip),b,13803,a)]. 13805 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(66,a,10879,a(flip),b,13804,a),flip(a)]. 13806 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13805(a,1),5520(a,1,2))]. 13808 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(66,a,12136,a,b,13771,a)]. 13809 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(10855,a,13782,a)]. 13810 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(285,a,7986,a,b,13786,a)]. 13812 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(13604,a,13781,a),flip(a)]. 13813 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9743,a,13812,a)]. 13814 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(66,a,10812,a(flip),b,13813,a),flip(a)]. 13815 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(66,a,11908,a(flip),b,13806,a),flip(a)]. 13817 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(90(a,1),13815(a,1,2,2)),flip(a)]. 13818 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(15(a,2),13817(a,1,2))]. 13819 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7937(a,2),13810(a,1,1))]. 13820 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,13798,a),flip(a)]. 13821 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(66,a,6671,a,b,13820,a)]. 13822 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1148(a,1),13809(a,1,2,1))]. 13823 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(168(a,1),13822(a,1,2,2))]. 13824 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(66,a,13712,a(flip),b,13823,a)]. 13825 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(66,a,9317,a(flip),b,13819,a),flip(a)]. 13826 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(12163,a,13825,a)]. 13827 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(66,a,12587,a(flip),b,13826,a)]. 13830 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(285,a,6626,a,b,13808,a),flip(a)]. 13831 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(4084(a,1),13830(a,1,1,2))]. 13832 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(6480(a,1),13831(a,1,1))]. 13833 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3341(a,1),13832(a,1,1))]. 13834 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(9111(a,1),13833(a,1,1))]. 13835 K(x,y * x) != z | K(x,x * y) = z. [para(13834(a,1),3653(a,1)),flip(b)]. 13836 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(6626(a,2),13834(a,1,1))]. 13838 L(K(x,y * x),y,z) = K(x,y * x). [hyper(66,a,8725,a(flip),b,13836,a)]. 13839 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(13838(a,1),6033(a,1,2)),flip(a)]. 13840 L(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,5344,a(flip),b,13839,a),flip(a)]. 13841 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(13840(a,1),11377(a,1,1)),flip(a)]. 13842 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(66,a,13785,a(flip),b,13841,a),flip(a)]. 13845 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(268(a,1),13842(a,2,1,2))]. 13846 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(393(a,1),13842(a,2,1,2))]. 13847 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(5785(a,1),13845(a,1,1))]. 13848 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(15(a,1),13847(a,1,2))]. 13849 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(66,a,13799,a(flip),b,13848,a)]. 13851 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(14(a,1),13849(a,1,1,1,2)),flip(a)]. 13852 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(13849(a,1),5804(a,1,1,1,2))]. 13853 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(66,a,13794,a(flip),b,13851,a)]. 13854 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(66,a,10613,a(flip),b,13853,a),flip(a)]. 13856 (1 / (x * y)) * (T(x,y) * T(T(y,x),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(4113(a,1),13648(a,1,2,2,1))]. 13857 (1 / (x * y)) * (K(y,z) * (x * y)) = K(((1 / (y * x)) * x) \ 1,z). [para(5740(a,1),13856(a,1,2))]. 13858 (1 / (x * y)) * (K(y,z) * (x * y)) = K((((y * x) \ 1) * x) \ 1,z). [hyper(285,a,6705,a(flip),b,13857,a),flip(a)]. 13859 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7486,a,13852,a),flip(a)]. 13861 K((((1 / x) * y) \ 1) / ((x \ 1) * (y * (x / y))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12242(a,1),13663(a,1,1,2))]. 13862 K((((1 / x) * y) \ 1) * (x * (1 / (y * (x / y)))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12349(a,1),13861(a,1,1))]. 13863 K((((1 / x) * y) \ 1) * (x * ((y * (x / y)) \ 1)),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [hyper(66,a,6699,a(flip),b,13862,a)]. 13864 K((((1 / x) * y) \ 1) * K(y \ x,y),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(7258(a,1),13863(a,1,1,2))]. 13865 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ K(x \ y,x),z). [para(11840(a,1),13864(a,1,1)),flip(a)]. 13866 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(T(((1 / y) * x) \ 1,x),z). [para(6163(a,1),13865(a,2,1))]. 13867 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ 1,T(z,x)). [hyper(285,a,7761,a(flip),b,13866,a),flip(a)]. 13868 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((y \ 1) * x) \ 1,T(z,x)). [hyper(285,a,6705,a(flip),b,13867,a),flip(a)]. 13869 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5785(a,1),13846(a,1,1))]. 13870 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(13791(a,1),13869(a,1,1))]. 13871 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(360(a,1),13870(a,1,2)),flip(a)]. 13873 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(66,a,13792,a(flip),b,13871,a),flip(a)]. 13874 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(13873(a,1),6032(a,1,1))]. 13875 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6475(a,1),13873(a,1,1)),flip(a)]. 13876 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(66,a,9335,a,b,13875,a)]. 13877 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(13875(a,1),5302(a,2,2,2))]. 13878 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(5332,a,13874,a),flip(a)]. 13879 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(13775(a,1),13878(a,1,1))]. 13880 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(285,a,11639,a(flip),b,13877,a),flip(a)]. 13881 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(66,a,13784,a(flip),b,13879,a),flip(a)]. 13882 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(453(a,1),13881(a,1,2,1))]. 13883 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(66,a,13775,a(flip),b,13882,a),flip(a)]. 13885 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(8619,a,13883,a)]. 13886 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(285,a,13778,a(flip),b,13883,a),flip(a)]. 13887 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(14(a,1),13883(a,1,2,1,2)),flip(a)]. 13888 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(13605,a,13886,a)]. 13889 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(14(a,1),13886(a,1,2,1,2)),flip(a)]. 13890 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13887(a,1),11408(a,1,1))]. 13891 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(13887(a,1),13737(a,1,2,2)),flip(a)]. 13892 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(13888(a,1),6653(a,1,1)),flip(a)]. 13893 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(6806(a,1),13888(a,1,2,2,1,2))]. 13894 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(13880(a,1),13876(a,1,2,1,1))]. 13895 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(5952(a,1),13894(a,1,2,1))]. 13897 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(13892(a,2),13604(a,1))]. 13898 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(23(a,2),13742(a,1,2,2,2)),flip(a)]. 13899 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(5785(a,1),13890(a,1,2,1,2))]. 13900 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(285,a,7894,a,b,13891,a),flip(a)]. 13901 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13851(a,1),13899(a,1,2,1,2))]. 13902 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(8641,a,13901,a)]. 13904 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(13902(a,2),4222(a,1))]. 13905 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(13889(a,1),13900(a,2,1))]. 13906 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(285,a,10587,a(flip),b,13905,a),flip(a)]. 13907 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(7940(a,1),13906(a,1,2))]. 13908 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(10219,a,13907,a)]. 13909 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(13904,a,13908,a),flip(a)]. 13910 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,10444,a(flip),b,13909,a),flip(a)]. 13911 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,8882,a,b,13910,a)]. 13912 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(13911(a,1),13760(a,1,1))]. 13913 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(13672(a,1),13912(a,1,1)),flip(a)]. 13914 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(13913(a,1),5644(a,1,2,1))]. 13916 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(66,a,5644,a(flip),b,13914,a),flip(a)]. 13917 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13893,a(flip),b,13916,a),flip(a)]. 13918 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(13897,a,13917,a)]. 13919 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13885,a(flip),b,13918,a)]. 13920 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(13(a,1),13919(a,1,2,2,1))]. 13921 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(285,a,7180,a(flip),b,13920,a),flip(a)]. 13922 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(285,a,13859,a(flip),b,13921,a),flip(a)]. 13923 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(13(a,1),13922(a,2,2,2,1))]. 13924 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(66,a,13783,a,b,13923,a)]. 13925 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,13814,a(flip),b,13924,a),flip(a)]. 13927 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3245(a,1),13925(a,1,2))]. 13928 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(13927(a,1),7399(a,1,1,2)),flip(a)]. 13929 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(285,a,7399,a(flip),b,13928,a),flip(a)]. 13930 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13929(a,1),6571(a,1,1,2))]. 13931 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13821(a,1),13930(a,1,1,2))]. 13932 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(78(a,1),13931(a,1,1,2,1,2))]. 13933 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5795(a,1),13932(a,1,1))]. 13934 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(66,a,30,a,b,13933,a)]. 13935 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5719(a,1),13934(a,1,1)),flip(a)]. 13936 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4254,a,13935,a)]. 13937 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(146,a,13936,a)]. 13938 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(13936(a,1),9082(a,1,2))]. 13940 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(66,a,13242,a(flip),b,13937,a),flip(a)]. 13942 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(13937(a,1),11884(a,1,2))]. 13944 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13940(a,1),473(a,1,1)),flip(a)]. 13945 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(12830,a,13942,a),flip(a)]. 13947 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13940(a,1),13942(a,1,2))]. 13948 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(13945(a,1),11872(a,1,2)),flip(a)]. 13949 K(x * L(y,z,u),y) = K(y * x,y). [hyper(285,a,12775,a(flip),b,13948,a),flip(a)]. 13953 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(66,a,10352,a,b,13949,a)]. 13956 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(15(a,1),13953(a,1,1)),flip(a)]. 13957 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(66,a,13794,a(flip),b,13956,a)]. 13959 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(10966,a,13957,a)]. 13963 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10658(a,1),13938(a,1))]. 13964 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(285,a,112,a(flip),b,13944,a),flip(a)]. 13965 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10040(a,1),13964(a,1,1,1)),flip(a)]. 13966 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13964(a,1),13473(a,1,1))]. 13968 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13966(a,1),12880(a,1))]. 13969 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(66,a,13556,a(flip),b,13947,a),flip(a)]. 13970 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(341(a,1),13969(a,1,2,3))]. 13971 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12865,a,13970,a)]. 13972 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13968,a,13971,a)]. 13973 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13553,a(flip),b,13971,a),flip(a)]. 13974 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(15(a,1),13972(a,1,2)),flip(a)]. 13975 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [hyper(124,a,13974,a(flip),b,11754,a),flip(a)]. 13976 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [hyper(124,a,13974,a(flip),b,11743,a),flip(a)]. 13977 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(66,a,10040,a(flip),b,13976,a),flip(a)]. 13978 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13973(a,1),13292(a,1,1))]. 13979 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(66,a,10644,a(flip),b,13978,a)]. 13980 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12940(a,1),13977(a,1,2,1)),flip(a)]. 13981 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(285,a,13975,a,b,13980,a),flip(a)]. 13983 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13981(a,1),13965(a,2,1,1))]. 13984 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(11064(a,1),13755(a,1,1)),flip(a)]. 13985 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(285,a,11974,a(flip),b,13984,a),flip(a)]. 13987 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(285,a,5130,a,b,13985,a),flip(a)]. 13988 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(11970(a,1),13987(a,1,1,1))]. 13989 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(66,a,12216,a,b,13988,a)]. 13990 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7860(a,1),13373(a,1,2,1,2))]. 13991 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((1 / y) * (y / x)),z). [para(5882(a,1),13691(a,2,1,1))]. 13992 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((y \ 1) * (y / x)),z). [hyper(285,a,6732,a(flip),b,13991,a),flip(a)]. 13993 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((y \ 1) * (x \ y)) \ 1,z). [hyper(285,a,6580,a(flip),b,13992,a),flip(a)]. 13994 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(285,a,6749,a(flip),b,13993,a),flip(a)]. 13995 K(x,K(x,x \ y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(5882(a,1),13994(a,1,2,1))]. 13996 K(x,K(x,x \ y) / ((((x \ y) * x) \ 1) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,7185,a(flip),b,13995,a)]. 13997 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(10114(a,1),13990(a,1,2,1,2))]. 13998 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7897(a,1),13997(a,1,2,1,2))]. 13999 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7954(a,1),13998(a,1,2,1,2))]. 14000 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5414(a,2),13999(a,1,2,1))]. 14001 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(66,a,5577,a,b,14000,a)]. 14002 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(10129(a,1),14001(a,1,1)),flip(a)]. 14003 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14002(a,2,2))]. 14004 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14003,a),flip(a)]. 14006 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),13105(a,1,1,1))]. 14007 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12039(a,1),14006(a,1,1))]. 14008 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6423,a,14007,a)]. 14010 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),14008(a,1,2))]. 14011 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),13989(a,1,2,1,1))]. 14012 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14011(a,1,2,1))]. 14013 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7908(a,1),14012(a,1,2,1))]. 14015 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),14013(a,1,2,2,1))]. 14016 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14015(a,1,2,2))]. 14018 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12024(a,1),14016(a,1,2))]. 14019 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(66,a,11966,a(flip),b,14018,a)]. 14020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(66,a,12034,a,b,14019,a)]. 14021 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12023,a(flip),b,14020,a)]. 14022 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12328,a(flip),b,14021,a),flip(a)]. 14023 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(66,a,11979,a(flip),b,14022,a)]. 14024 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(66,a,11088,a(flip),b,14023,a)]. 14025 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(14024(a,1),11962(a,1,1)),flip(a)]. 14026 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(66,a,11170,a(flip),b,14025,a),flip(a)]. 14027 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(11981(a,1),14026(a,1,1)),flip(a)]. 14029 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(14027(a,1),13983(a,2,1))]. 14030 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13974(a,1),14029(a,2,1,1))]. 14032 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(9261(a,1),14030(a,1,1,1))]. 14034 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13053(a,1),14032(a,1,1))]. 14035 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12851(a,1),14034(a,1,1)),flip(a)]. 14036 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(14035(a,1),468(a,1,2))]. 14037 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(13018,a,14036,a),flip(a)]. 14038 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12859(a,1),14037(a,2,2))]. 14040 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(285,a,12863,a(flip),b,14038,a),flip(a)]. 14042 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(55,a,14040,a)]. 14043 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(14042(a,1),12905(a,1,2))]. 14044 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12910(a,1),14043(a,1,1,2,1))]. 14045 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(480,a,14044,a),flip(a)]. 14047 R(a(x,y,x),z,u) = a(x,y,x). [hyper(37,a,12857,a(flip),b,14045,a),flip(a)]. 14048 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(66,a,470,a,b,14047,a)]. 14050 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(66,a,13972,a(flip),b,14047,a)]. 14051 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(66,a,13432,a(flip),b,14047,a),flip(a)]. 14052 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(14047(a,1),112(a,1,1)),flip(a)]. 14054 L(x,y,a(z,u,z)) = x. [para(14047(a,1),14042(a,1,3))]. 14056 L(x,y,a(z,u,z)) != w | x = w. [para(14054(a,1),53(a,2))]. 14057 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(14054(a,1),499(a,1,2))]. 14058 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(14054(a,1),443(a,1,2,1)),flip(a)]. 14061 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(14050(a,1),13203(a,1,1)),flip(a)]. 14062 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(14050(a,1),13979(a,1,2)),flip(a)]. 14063 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(13945(a,2),14061(a,2,1))]. 14066 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5795(a,1),14051(a,1,2)),flip(a)]. 14067 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),19(a,2,1)),flip(a)]. 14068 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12857(a,1),14052(a,1,1))]. 14069 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(285,a,11880,a(flip),b,14063,a),flip(a)]. 14071 L(x,y,L(x,z,u)) = L(x,y,x). [para(352(a,1),14069(a,1,3)),flip(a)]. 14072 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(14071(a,1),35(a,1,1)),flip(a)]. 14074 T(L(x,x \ y,x) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(14071(a,1),11251(a,1,1,1))]. 14077 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(14072(a,1),12891(a,1,1,2))]. 14078 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(285,a,12801,a(flip),b,14062,a),flip(a)]. 14080 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11426,a,14078,a),flip(a)]. 14082 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(66,a,13014,a(flip),b,14080,a)]. 14083 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(66,a,11679,a(flip),b,14082,a)]. 14087 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(66,a,11178,a(flip),b,14083,a)]. 14089 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(285,a,13775,a(flip),b,14087,a),flip(a)]. 14090 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(66,a,11547,a,b,14089,a)]. 14091 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(66,a,11548,a(flip),b,14089,a)]. 14093 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1166(a,1),14090(a,1,2,2))]. 14095 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(66,a,10612,a(flip),b,14091,a),flip(a)]. 14096 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(16(a,1),14095(a,1,2,2,2,1)),flip(a)]. 14097 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(14096(a,1),10223(a,1,2))]. 14098 T(x / T(y,x),L(y,z,u)) = y \ T(x,L(y,z,u)). [para(7646(a,1),14074(a,1,1))]. 14100 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(285,a,13778,a(flip),b,14093,a),flip(a)]. 14101 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(15(a,1),14100(a,1,2,2,2,1))]. 14102 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(13251,a,14101,a),flip(a)]. 14103 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12938(a,1),14048(a,1,1,1))]. 14105 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(27(a,2),14102(a,1,2,2,1))]. 14106 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(66,a,10487,a(flip),b,14105,a),flip(a)]. 14107 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(285,a,6638,a(flip),b,14106,a),flip(a)]. 14108 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(14107(a,1),11428(a,1,1,2)),flip(a)]. 14109 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(66,a,13488,a(flip),b,14066,a)]. 14110 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(112(a,1),14103(a,1,1))]. 14111 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(11543(a,1),14097(a,1,1))]. 14112 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(14052(a,1),14058(a,2,1))]. 14113 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(285,a,14057,a(flip),b,14112,a),flip(a)]. 14114 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(25(a,2),14113(a,2,2))]. 14115 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(14054(a,1),14114(a,1,2))]. 14116 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14067(a,1,2,1))]. 14117 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5392(a,1),14109(a,2,2))]. 14118 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12808,a,14117,a)]. 14119 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14116(a,1,2))]. 14120 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(770,a,14119,a)]. 14121 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(14056,a,14120,a),flip(a)]. 14123 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12799(a,1),14121(a,1,1))]. 14124 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12810(a,1),14121(a,1,1))]. 14125 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12796(a,1),14121(a,1,1))]. 14126 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(15(a,1),14123(a,1,1,1)),flip(a)]. 14127 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(8174(a,2),14125(a,2,1)),flip(a)]. 14128 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(7219(a,1),14126(a,1,1))]. 14129 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(7241(a,1),14127(a,2,1))]. 14130 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(285,a,14128,a(flip),b,14129,a),flip(a)]. 14131 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(115(a,1),14130(a,1,1,1,2))]. 14132 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(66,a,14124,a(flip),b,14131,a),flip(a)]. 14133 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4596(a,1),14132(a,1,1)),flip(a)]. 14134 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6092(a,1),14132(a,1,1))]. 14135 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(13035(a,2),14133(a,2,1)),flip(a)]. 14136 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(66,a,14132,a(flip),b,14134,a)]. 14137 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(66,a,14132,a(flip),b,14136,a),flip(a)]. 14138 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(66,a,14132,a(flip),b,14137,a)]. 14139 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6107(a,1),14135(a,2,1))]. 14140 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(285,a,14133,a(flip),b,14139,a),flip(a)]. 14141 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(13035(a,1),14140(a,1,1))]. 14142 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(285,a,14138,a(flip),b,14141,a),flip(a)]. 14143 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5830(a,1),13739(a,1,1))]. 14144 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(15(a,1),14143(a,1,2,2,1,2))]. 14146 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8749(a,1),14144(a,1,2))]. 14147 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(12907(a,1),12915(a,2,2,1,1))]. 14148 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(285,a,1535,a(flip),b,14147,a),flip(a)]. 14149 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1726(a,1),14148(a,2,2))]. 14150 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(820(a,1),14149(a,2,2,1))]. 14151 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),14150(a,2,2,1,2))]. 14152 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1535(a,1),14151(a,1,1))]. 14153 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(14115(a,2),14152(a,1,1,2))]. 14154 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(15(a,1),14153(a,1,1,2,1)),flip(a)]. 14155 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(14047(a,1),12811(a,1,1,1)),flip(a)]. 14156 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12946(a,1),14155(a,2,1))]. 14158 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(662(a,1),14156(a,2,1,2,1))]. 14159 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5157(a,1),14158(a,2,1))]. 14160 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(285,a,23,a,b,14159,a),flip(a)]. 14161 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(14047(a,1),14160(a,1,3))]. 14162 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(14056,a,14161,a),flip(a)]. 14165 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(15(a,1),14162(a,1,3,1)),flip(a)]. 14166 L(x,y / z,K(y,z)) = x. [hyper(7748,a,14165,a)]. 14167 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(14166(a,1),5651(a,1,2)),flip(a)]. 14168 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5452,a,14167,a)]. 14169 R(K(x,y),x \ y,z) = K(x,y). [hyper(9006,a,14168,a)]. 14170 R(K(x,x * y),y,z) = K(x,x * y). [para(14(a,1),14169(a,1,2))]. 14172 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(14170(a,1),12676(a,2,2))]. 14173 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(285,a,5130,a,b,14172,a),flip(a)]. 14175 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(66,a,4831,a(flip),b,14173,a)]. 14176 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(17(a,1),14175(a,1,2,1,2))]. 14177 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(66,a,10869,a,b,14176,a)]. 14178 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(285,a,5130,a(flip),b,14177,a)]. 14179 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(37,a,9480,a,b,14178,a)]. 14180 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(37,a,5130,a(flip),b,14178,a)]. 14181 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(66,a,10224,a,b,14179,a)]. 14182 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(66,a,10854,a(flip),b,14180,a)]. 14183 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(14180(a,1),8052(a,1,1,2))]. 14184 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(25(a,2),14182(a,1,2,1)),flip(a)]. 14185 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(14182(a,1),7399(a,1,1,2))]. 14186 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(7411,a,14185,a),flip(a)]. 14187 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(66,a,13827,a(flip),b,14186,a),flip(a)]. 14188 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(25(a,2),14186(a,1,1,1)),flip(a)]. 14189 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(3064(a,1),14186(a,2,1,2))]. 14190 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(15(a,1),14187(a,1,1,2,1)),flip(a)]. 14191 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(66,a,10393,a,b,14190,a)]. 14192 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(14191(a,1),13278(a,1,1))]. 14193 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(13779(a,1),14181(a,1,2))]. 14194 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(66,a,14111,a(flip),b,14193,a)]. 14195 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(66,a,11203,a(flip),b,14194,a),flip(a)]. 14196 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7995(a,1),14192(a,1,2))]. 14197 a(x,y / z,x) = a(x,z \ y,x). [hyper(12802,a,14196,a)]. 14198 a(x,(y \ z) \ z,x) = a(x,y,x). [para(87(a,1),14197(a,1,2)),flip(a)]. 14199 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(113(a,2),14197(a,1,2))]. 14200 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14197(a,1,2))]. 14201 a(x,T(y,z),x) = a(x,y,x). [para(4140(a,2),14198(a,1,2))]. 14202 a(x,y * K(z,y),x) = a(x,y,x). [para(5930(a,1),14198(a,1,2)),flip(a)]. 14203 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(13081(a,1),14198(a,1,2)),flip(a)]. 14204 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(285,a,13481,a,b,14201,a),flip(a)]. 14205 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14201(a,1),12812(a,1,1))]. 14206 L(a(x,y,x),y,z) = a(x,y,x). [hyper(66,a,14051,a(flip),b,14202,a)]. 14208 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14206(a,1),14118(a,1,1))]. 14209 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(66,a,14203,a(flip),b,14199,a)]. 14211 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(14209(a,2),12874(a,1,2,1)),flip(a)]. 14212 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(66,a,14184,a(flip),b,14195,a),flip(a)]. 14213 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(66,a,11463,a(flip),b,14212,a),flip(a)]. 14214 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(285,a,14197,a(flip),b,14208,a),flip(a)]. 14216 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(23(a,2),14214(a,2,2))]. 14217 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(453(a,1),14216(a,2,2))]. 14218 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8054,a,14183,a),flip(a)]. 14219 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(66,a,9394,a(flip),b,14218,a)]. 14220 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10877,a,14219,a)]. 14221 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14220(a,1),14146(a,1,2))]. 14222 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(16(a,1),14189(a,1,1,1)),flip(a)]. 14223 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(285,a,6690,a(flip),b,14222,a),flip(a)]. 14225 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(13284,a,14204,a)]. 14226 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(285,a,7681,a(flip),b,14225,a),flip(a)]. 14228 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8239(a,2),14226(a,2,1)),flip(a)]. 14229 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5785(a,2),14228(a,1,1,1))]. 14230 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(66,a,12176,a,b,14229,a)]. 14231 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(37,a,8481,a,b,14230,a)]. 14232 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(66,a,13788,a,b,14231,a)]. 14233 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5150(a,1),14232(a,1,1,2))]. 14234 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(15(a,1),14217(a,1,2))]. 14235 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(212(a,1),14234(a,2,2))]. 14236 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8215(a,1),14233(a,1,1))]. 14237 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5150(a,1),14236(a,2,2))]. 14239 R(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,8215,a(flip),b,14237,a),flip(a)]. 14241 R(K(x * y,x),y,z) = K(y * x,x). [para(5785(a,1),14239(a,1,1))]. 14242 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(66,a,1688,a,b,14241,a)]. 14243 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(19(a,2),14200(a,2,2))]. 14244 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(12900(a,2),14235(a,1,1,2,1))]. 14245 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8366(a,1),14221(a,1,2)),flip(a)]. 14246 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(285,a,5520,a(flip),b,14245,a),flip(a)]. 14247 L(x,y / z,x) = L(x,z \ y,x). [hyper(66,a,13818,a(flip),b,14246,a),flip(a)]. 14249 L(x,(y \ z) \ z,x) = L(x,y,x). [para(87(a,1),14247(a,1,2)),flip(a)]. 14250 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5379(a,2),14247(a,1,2))]. 14251 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14247(a,1,2))]. 14253 L(x,y * K(z,y),x) = L(x,y,x). [para(5930(a,1),14249(a,1,2)),flip(a)]. 14256 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5798(a,1),14253(a,1,2))]. 14258 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(66,a,14256,a(flip),b,14250,a),flip(a)]. 14261 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(19(a,2),14251(a,2,2))]. 14262 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7729(a,1),14242(a,1,1,1))]. 14263 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9695(a,1),14262(a,1,1,1))]. 14264 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(112(a,1),14263(a,1,1))]. 14265 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13173(a,1),14205(a,1,1))]. 14267 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13562(a,1),14265(a,1,1))]. 14268 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(14(a,1),14267(a,1,1,1))]. 14269 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(14(a,1),14268(a,1,1,3)),flip(a)]. 14270 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6404(a,1),14269(a,2,2))]. 14271 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(14(a,1),14270(a,2,2,2))]. 14272 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5316(a,1),14271(a,2,2))]. 14273 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(285,a,12799,a(flip),b,14272,a),flip(a)]. 14274 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6548,a,14273,a)]. 14275 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(14(a,1),14274(a,1,2))]. 14276 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(66,a,6688,a(flip),b,14275,a)]. 14277 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(10230,a,14276,a)]. 14279 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(15(a,1),14277(a,2,1))]. 14280 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(66,a,11375,a(flip),b,14279,a),flip(a)]. 14282 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(66,a,6694,a(flip),b,14280,a)]. 14283 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(66,a,7320,a(flip),b,14282,a)]. 14285 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(66,a,8378,a,b,14283,a)]. 14286 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(15(a,1),14283(a,1,1,2,1)),flip(a)]. 14288 K((x / y) \ z,x / y) = K(z * (x \ y),x / y). [para(17(a,1),14285(a,1,1,2,1)),flip(a)]. 14289 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14285(a,1),13738(a,1,1,1,2))]. 14290 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(285,a,12458,a,b,14286,a),flip(a)]. 14291 K((x / y) \ z,x / y) = K(z * (y / x),x / y). [hyper(285,a,12459,a,b,14288,a),flip(a)]. 14292 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K(u * (x / y),x \ y)) \ y. [para(14290(a,1),9409(a,2,1,2))]. 14293 K((x \ y) \ z,y / x) = K(z * (x / y),y / x). [hyper(66,a,7618,a(flip),b,14291,a)]. 14294 K(x / (y \ z),z / y) = K(x * (y / z),z / y). [hyper(66,a,8351,a,b,14293,a)]. 14295 1 / (((x / y) \ 1) \ K(z * (x / y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(14294(a,1),10325(a,1,2,2))]. 14296 1 / (T((x / y) \ 1,z * (x / y)) \ 1) = T((x / y) \ 1,(x \ y) \ z). [para(5716(a,1),14295(a,1,2))]. 14297 T((x / y) \ 1,(x \ y) \ z) = T((x / y) \ 1,z * (x / y)). [hyper(297,a,14296,a)]. 14299 ((x / y) * T((x / y) \ 1,z * (x / y))) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(14297(a,1),10263(a,1,1,2))]. 14300 K((x / y) \ 1,z * (x / y)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(5126(a,1),14299(a,1,1))]. 14301 K(x / (y \ z),(y / z) \ 1) = K(z / y,x * (y / z)) \ 1. [para(5830(a,1),14300(a,1,1)),flip(a)]. 14302 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = T(x \ y,u * (x / y)). [hyper(285,a,7461,a(flip),b,14292,a),flip(a)]. 14303 T(x \ y,z * (x / y)) = ((x \ y) \ z) \ z. [hyper(66,a,3637,a(flip),b,14302,a),flip(a)]. 14304 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z,u) * (x / y)). [hyper(285,a,13626,a,b,14303,a)]. 14305 ((((x \ y) \ z) \ z) * u) \ ((x \ y) * u) = K(z * (x / y),T(x \ y,u)). [para(14303(a,1),7435(a,1,1,1))]. 14306 K((x \ y) \ z,T(x \ y,u)) = K(z * (x / y),T(x \ y,u)). [hyper(66,a,7502,a(flip),b,14305,a)]. 14307 (x * K(y * (x / z),T(x \ z,u))) \ z = T(x \ z,T((x \ z) \ y,u)). [para(14306(a,1),7784(a,1,1,2))]. 14308 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z * (x / y),u)). [hyper(7785,a,14307,a),flip(a)]. 14309 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (x / y)). [hyper(66,a,14304,a(flip),b,14308,a),flip(a)]. 14310 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(271(a,1),14289(a,1,1,1))]. 14312 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8472(a,1),14310(a,1,1))]. 14313 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(115(a,1),14312(a,1,2,2,2))]. 14314 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9783(a,1),14313(a,1,2))]. 14315 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3604(a,1),14314(a,1,2))]. 14316 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(66,a,13610,a(flip),b,14315,a)]. 14317 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(66,a,10433,a(flip),b,14316,a)]. 14318 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(189(a,1),14317(a,1,2)),flip(a)]. 14319 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(66,a,12506,a,b,14318,a)]. 14322 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(66,a,7598,a(flip),b,14319,a)]. 14324 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(66,a,8381,a(flip),b,14322,a),flip(a)]. 14325 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(17(a,1),14322(a,1,2,2,2)),flip(a)]. 14326 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(285,a,12461,a(flip),b,14324,a),flip(a)]. 14328 K(x / y,z * (y / x)) = K(y \ x,y / (x / z)). [hyper(66,a,13757,a(flip),b,14325,a),flip(a)]. 14329 K(x \ y,z * (y \ x)) * (x \ y) = T(x \ y,z / (x \ y)). [para(14326(a,1),5266(a,1,1))]. 14330 K(x / y,z * (x \ y)) = K(y \ x,y / (x / z)). [hyper(66,a,12492,a(flip),b,14328,a)]. 14331 K(x / (y \ z),(y / z) \ 1) = K(y \ z,y / (z / x)) \ 1. [para(14328(a,1),14301(a,2,1))]. 14332 T(x \ y,z / (x \ y)) = T(x \ y,z * (y \ x)). [hyper(5259,a,14329,a),flip(a)]. 14333 T(x \ y,z * (y \ x)) = ((x \ y) \ z) \ z. [hyper(4167,a,14332,a),flip(a)]. 14334 T(x \ y,z * (x / y)) = T(x \ y,z * (y \ x)). [hyper(285,a,14303,a,b,14333,a)]. 14335 K(T(x \ y,z * (y \ x)),u) = K(x \ y,T(u,z)). [para(14333(a,2),7687(a,1,1))]. 14336 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14309,a,b,14334,a)]. 14337 (x * T(y \ z,u * (z \ y))) / T(x,y \ z) = T(y \ z,T(u * (y / z),x)). [para(14334(a,1),8359(a,1,1,2))]. 14338 K(x / (y \ z),(y / z) \ 1) = K(y / (z / x),y \ z) * 1. [hyper(285,a,5334,a(flip),b,14331,a),flip(a)]. 14339 K(x / (y \ z),(y / z) \ 1) = K((z / x) \ y,z / y) * 1. [para(7744(a,1),14338(a,2,1))]. 14340 K(x / (y \ z),z / y) = K((z / x) \ y,z / y). [hyper(5756,a,14339,a)]. 14341 K((x / y) \ z,x / z) = K(y * (z / x),x / z). [hyper(66,a,14294,a(flip),b,14340,a),flip(a)]. 14342 K((x / y) \ z,x / z) = K(y * (x \ z),x / z). [hyper(285,a,12459,a(flip),b,14341,a),flip(a)]. 14343 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z * (y \ x),u)). [hyper(8364,a,14337,a),flip(a)]. 14345 T(x \ y,T(z * (y \ x),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14336,a(flip),b,14343,a),flip(a)]. 14346 K(T(x \ y,T(z * (y \ x),u)),w) = K(x \ y,T(w,T(z,u))). [para(14345(a,2),14335(a,1,1))]. 14347 K(x \ y,T(z,T(u * (y \ x),w))) = K(x \ y,T(z,T(u,w))). [hyper(8426,a,14346,a)]. 14348 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(285,a,11103,a(flip),b,14108,a),flip(a)]. 14350 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(285,a,11108,a(flip),b,14348,a),flip(a)]. 14351 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(13168,a,14350,a)]. 14352 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(14351(a,1),11723(a,1,1,2)),flip(a)]. 14353 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(285,a,11723,a(flip),b,14352,a),flip(a)]. 14354 a(x,y,K(x * z,z)) = 1. [hyper(66,a,9105,a(flip),b,14353,a),flip(a)]. 14355 L(K(x * y,y),z,x) = K(x * y,y). [hyper(55,a,14354,a)]. 14356 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(14355(a,1),7707(a,2,1))]. 14357 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10145(a,1),14356(a,1,2,2))]. 14358 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7682(a,1),14357(a,1,2)),flip(a)]. 14359 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(303,a,14358,a),flip(a)]. 14360 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(66,a,12884,a(flip),b,14358,a),flip(a)]. 14361 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12861(a,1),14360(a,1,2)),flip(a)]. 14362 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(303,a,14361,a),flip(a)]. 14363 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(66,a,14068,a,b,14361,a)]. 14364 L(x,a(y,z,y),z) = x. [hyper(445,a,14363,a)]. 14365 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(14363(a,1),14110(a,1,1,1))]. 14366 L(x,K(y,z),z \ y) = x. [hyper(13513,a,14364,a)]. 14367 L(x,K(y,z),y / z) = x. [hyper(10026,a,14366,a)]. 14370 L(x,K(y * z,z),y) = x. [para(16(a,1),14367(a,1,3))]. 14371 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1176,a,14370,a),flip(a)]. 14372 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(14371(a,1),14264(a,1,1,1))]. 14373 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(15(a,1),14365(a,1,2,1))]. 14374 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(14362(a,1),14373(a,1,1,1)),flip(a)]. 14375 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(285,a,25,a,b,14374,a),flip(a)]. 14376 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(14(a,1),14375(a,1,2,2)),flip(a)]. 14377 a(x,R(y,z,u),x) = a(x,y,x). [hyper(66,a,14047,a(flip),b,14376,a),flip(a)]. 14379 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(66,a,14243,a(flip),b,14377,a),flip(a)]. 14380 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(14377(a,1),13072(a,1,1)),flip(a)]. 14381 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(14377(a,1),14211(a,2,2,1))]. 14383 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5379(a,1),14379(a,1,2,2))]. 14384 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(285,a,13072,a(flip),b,14380,a),flip(a)]. 14385 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(14384(a,1),12188(a,1,2))]. 14386 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(285,a,12874,a(flip),b,14381,a),flip(a)]. 14388 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(66,a,14258,a(flip),b,14386,a)]. 14390 L(x,R(y,z,u),x) = L(x,y,x). [para(14(a,1),14388(a,2,2))]. 14393 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(66,a,14261,a(flip),b,14390,a),flip(a)]. 14395 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(727(a,1),14385(a,1,2)),flip(a)]. 14397 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(14395(a,1),5123(a,2,2)),flip(a)]. 14398 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(66,a,12149,a(flip),b,14397,a)]. 14399 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(14359(a,1),14372(a,1,1,1)),flip(a)]. 14400 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(285,a,25,a,b,14399,a),flip(a)]. 14401 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5786,a,14400,a)]. 14402 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5785(a,1),14401(a,2,1))]. 14403 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(110(a,1),14402(a,1,1,2))]. 14404 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(3061(a,1),14403(a,1,1,2,2,1))]. 14405 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(13418(a,1),14383(a,1,2)),flip(a)]. 14406 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(285,a,14379,a(flip),b,14405,a),flip(a)]. 14407 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(5404(a,1),14406(a,1,2))]. 14408 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(66,a,14244,a,b,14407,a)]. 14409 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(66,a,14188,a(flip),b,14404,a),flip(a)]. 14410 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(285,a,6714,a(flip),b,14409,a),flip(a)]. 14411 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(14223(a,1),14410(a,1,1))]. 14412 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14411(a,1),13090(a,1,2,2))]. 14415 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(66,a,7989,a(flip),b,14412,a),flip(a)]. 14416 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14415(a,1),7531(a,1,1,2))]. 14417 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(7783,a,14416,a),flip(a)]. 14418 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7761(a,1),14417(a,1,1))]. 14419 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(285,a,8988,a,b,14418,a)]. 14420 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(12481(a,1),14419(a,2,1))]. 14421 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3352(a,1),14420(a,1,1))]. 14424 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(6424(a,1),14421(a,1,2))]. 14425 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(125,a,14424,a),flip(a)]. 14426 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6428(a,1),14425(a,1,1)),flip(a)]. 14427 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(13084(a,1),14425(a,1,1))]. 14428 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14426(a,1),14427(a,1,1)),flip(a)]. 14429 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(66,a,14213,a(flip),b,14428,a),flip(a)]. 14430 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4413(a,1),14429(a,1,1))]. 14433 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14430(a,1),9790(a,1,1,1,2))]. 14438 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12033,a,14433,a)]. 14439 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(79(a,1),14438(a,1,2))]. 14440 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(133,a,14439,a),flip(a)]. 14443 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(285,a,13729,a(flip),b,14440,a),flip(a)]. 14446 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(14440(a,1),14010(a,1,1,2))]. 14449 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14443(a,1),6184(a,1,2,1))]. 14450 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5454,a,14449,a),flip(a)]. 14452 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(66,a,12013,a(flip),b,14446,a),flip(a)]. 14453 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(285,a,12267,a(flip),b,14452,a),flip(a)]. 14454 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(285,a,13392,a(flip),b,14453,a),flip(a)]. 14455 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6423,a,14454,a)]. 14457 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5334(a,1),14455(a,1,2))]. 14458 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(14457(a,1),5310(a,1,1))]. 14459 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(13408(a,1),14458(a,1,2))]. 14460 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(125,a,14459,a)]. 14461 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7907(a,1),14459(a,1,2,1))]. 14462 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5452,a,14460,a)]. 14463 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6090(a,1),14460(a,1,2))]. 14465 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9018(a,1),14460(a,1,2))]. 14466 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(14460(a,1),10949(a,2,2))]. 14467 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(14460(a,1),11784(a,1,1,2))]. 14468 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(14460(a,1),11994(a,2,2))]. 14469 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(14460(a,1),12293(a,1,3))]. 14471 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(14469(a,1),265(a,1,2))]. 14472 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(14462(a,1),10031(a,1,1)),flip(a)]. 14473 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(14465(a,1),5522(a,1,2)),flip(a)]. 14474 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(14465(a,1),14398(a,1,1))]. 14475 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(66,a,11593,a,b,14466,a)]. 14476 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(66,a,8501,a,b,14466,a)]. 14477 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(14460(a,1),14467(a,1,2))]. 14479 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(122,a,117,a(flip),b,14477,a)]. 14480 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7721,a,14473,a)]. 14481 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(14480(a,2),46(a,1))]. 14482 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(285,a,14132,a(flip),b,14463,a),flip(a)]. 14483 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(66,a,12051,a(flip),b,14463,a)]. 14484 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(10157(a,1),14461(a,1,2,2))]. 14485 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12025(a,1),14484(a,1,2))]. 14486 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(14(a,1),14475(a,1,2,1,2,1))]. 14488 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6682(a,1),14486(a,1,2))]. 14489 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6529(a,2),14488(a,1,1))]. 14490 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(285,a,14137,a(flip),b,14483,a),flip(a)]. 14491 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(14482(a,1),14490(a,1,1)),flip(a)]. 14492 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6547(a,1),14489(a,1,2))]. 14493 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14440(a,1),14492(a,1,2,2))]. 14494 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8829,a,14493,a)]. 14495 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(66,a,9832,a,b,14494,a)]. 14496 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3186(a,1),14495(a,1,1))]. 14497 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(14481,a,14496,a)]. 14498 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(285,a,14476,a(flip),b,14472,a),flip(a)]. 14499 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(14471,a,14498,a)]. 14500 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5360(a,1),14499(a,1,2))]. 14501 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7991(a,1),14500(a,1,1,1)),flip(a)]. 14502 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(225,a,14501,a),flip(a)]. 14503 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(285,a,14474,a(flip),b,14502,a)]. 14504 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(168(a,1),14503(a,2,1,2))]. 14505 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(66,a,4413,a,b,14504,a)]. 14506 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(17(a,1),14504(a,1,1))]. 14507 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(66,a,9676,a(flip),b,14506,a)]. 14508 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(66,a,13824,a(flip),b,14507,a)]. 14509 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5323(a,1),14508(a,2,1))]. 14510 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(285,a,14126,a(flip),b,14509,a),flip(a)]. 14511 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(66,a,9232,a(flip),b,14510,a)]. 14512 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(66,a,6675,a(flip),b,14510,a)]. 14513 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(14504(a,1),14505(a,1,1))]. 14514 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14491,a,b,14513,a)]. 14515 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14142,a(flip),b,14514,a)]. 14516 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(14154(a,1),14511(a,1,1))]. 14517 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(14(a,1),14516(a,1,2))]. 14518 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5223,a,14517,a),flip(a)]. 14520 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5075(a,1),14512(a,1,1))]. 14521 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(14(a,1),14520(a,1,2,2))]. 14523 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14393(a,1),14521(a,1,2))]. 14524 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(66,a,5738,a(flip),b,14523,a)]. 14525 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(14518(a,2),14524(a,1,1))]. 14526 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(13540,a,14525,a)]. 14527 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) * K(x * (L(z,u,w) \ y),y \ L(z,u,w))) / y,z). [para(6420(a,1),12467(a,2,1,1))]. 14528 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) / y) * K(x * (L(z,u,w) \ y),L(z,u,w) / y),z). [para(6422(a,1),14527(a,2,1))]. 14529 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x * (L(z,u,w) \ y))). [hyper(285,a,8027,a(flip),b,14528,a),flip(a)]. 14530 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x)). [hyper(285,a,11565,a(flip),b,14529,a),flip(a)]. 14531 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(y \ L(z,u,w),T(z,x)). [hyper(285,a,7745,a(flip),b,14530,a),flip(a)]. 14532 K(K(x * (y / L(z,u,w)),(y / L(z,u,w)) \ 1) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5696(a,2),14531(a,1,1))]. 14533 K(K(x * (y / L(z,u,w)),L(z,u,w) / y) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5708(a,1),14532(a,1,1,1))]. 14534 K(K(x * (L(y,z,u) \ w),L(y,z,u) / w) / (w / L(y,z,u)),y) = K(w \ L(y,z,u),T(y,x)). [para(12459(a,1),14533(a,1,1,1))]. 14535 K((x / K(y * (L(z,u,w) \ x),L(z,u,w) / x)) \ L(z,u,w),z) = K(x \ L(z,u,w),T(z,y)). [hyper(66,a,13455,a(flip),b,14534,a)]. 14536 K((x * K(L(y,z,u) / x,w * (L(y,z,u) \ x))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(7396(a,1),14535(a,1,1,1))]. 14537 K((x * K(x \ L(y,z,u),x / (L(y,z,u) / w))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(14330(a,1),14536(a,1,1,1,2))]. 14538 K((x \ L(y,z,u)) * K(x / (L(y,z,u) / w),x \ L(y,z,u)),y) = K(x \ L(y,z,u),T(y,w)). [para(6453(a,1),14537(a,1,1))]. 14539 K((x \ L(y,z,u)) * K((L(y,z,u) / w) \ x,L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(7744(a,1),14538(a,1,1,2))]. 14540 K((x \ L(y,z,u)) * K(w * (L(y,z,u) \ x),L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(14342(a,1),14539(a,1,1,2))]. 14541 K(x \ L(y,z,u),T(y,T(w * (L(y,z,u) \ x),x))) = K(x \ L(y,z,u),T(y,w)). [hyper(11011,a,14540,a)]. 14542 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,14347,a(flip),b,14541,a)]. 14543 K(x \ L(y,z,u),T(y,w * x)) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,10521,a(flip),b,14542,a)]. 14544 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,12701,a,b,14543,a)]. 14545 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * L(T(z,x * y),u,w)) = K(y \ L(z,u,w),T(z,x)). [para(15(a,1),14544(a,1,2,2))]. 14546 K((x * L(T(y,x * z),u,w)) / (x * z),y) = K(z \ L(y,u,w),T(y,x)). [hyper(10994,a,14545,a)]. 14548 K(((x * y) / x) \ L(z,u,w),z) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,13458,a(flip),b,14546,a)]. 14549 K(L(x,y,z) * (u \ K(u,w)),x) = K(u \ L(x,y,z),T(x,w)). [hyper(66,a,13446,a(flip),b,14548,a)]. 14550 K(x \ L(y,z,u),T(y,w)) = K(y * (x \ K(x,w)),y). [hyper(66,a,13953,a(flip),b,14549,a),flip(a)]. 14552 K(x \ L(y,z,u),T(y,w)) = K(x \ y,T(y,w)). [hyper(285,a,12110,a(flip),b,14550,a),flip(a)]. 14553 K((x / y) \ z,T(z,y)) = K(x \ (L(z,u,w) * y),z). [hyper(13465,a,14552,a),flip(a)]. 14555 K(x \ (L(y,z,u) * w),y) = K(y * (x \ w),y). [hyper(66,a,13793,a(flip),b,14553,a),flip(a)]. 14556 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [hyper(11095,a,14555,a)]. 14558 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(66,a,9347,a(flip),b,14556,a)]. 14559 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(285,a,13800,a(flip),b,14558,a),flip(a)]. 14560 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(66,a,13854,a(flip),b,14559,a)]. 14561 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(23(a,2),14560(a,2,1))]. 14562 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(13963,a,14561,a),flip(a)]. 14563 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(66,a,8727,a(flip),b,14562,a)]. 14564 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(7671,a,14563,a),flip(a)]. 14565 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(285,a,13730,a(flip),b,14563,a),flip(a)]. 14566 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(14563(a,1),13050(a,1,2,2))]. 14567 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(14563(a,1),13895(a,1,2,1,2,1))]. 14568 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(16(a,1),14565(a,1,1,2)),flip(a)]. 14569 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(13835,a,14568,a)]. 14570 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(285,a,9097,a(flip),b,14569,a),flip(a)]. 14573 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11406(a,1),14566(a,1,2))]. 14574 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(5576,a,14573,a)]. 14575 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(452(a,1),14564(a,1,2)),flip(a)]. 14576 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(14575(a,1),2732(a,1,2,2,2)),flip(a)]. 14577 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5152(a,1),14567(a,1,2,1))]. 14578 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(66,a,9335,a(flip),b,14577,a),flip(a)]. 14579 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(66,a,14563,a(flip),b,14578,a),flip(a)]. 14580 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(14578(a,1),11108(a,1,2))]. 14582 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(122,a,14579,a(flip),b,14450,a)]. 14583 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(452(a,1),14579(a,1,1)),flip(a)]. 14584 K(x,y) * (x \ K(z,L(x,u,w))) = T(x,L(z,u,w)) \ K(x,y). [para(14579(a,1),5848(a,1,2,2))]. 14585 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(11133,a,14580,a)]. 14586 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(14585(a,1),11159(a,2,2))]. 14587 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14582(a,1),9638(a,1,2,1))]. 14588 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(452(a,1),14583(a,1,2))]. 14589 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8035(a,1),14587(a,1,2,1,1))]. 14590 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(15(a,1),14588(a,1,2)),flip(a)]. 14591 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(66,a,7194,a(flip),b,14589,a)]. 14592 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(15(a,1),14590(a,1,1)),flip(a)]. 14593 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1283(a,1),14591(a,1,2,1,1))]. 14594 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(285,a,7181,a,b,14592,a),flip(a)]. 14595 T(x,y) / T(x / T(y,x),L(y,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(4120(a,1),14586(a,1,2,1))]. 14596 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(124,a,14593,a(flip),b,10505,a(flip)),flip(a)]. 14597 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = (K(x,y) \ 1) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(14584(a,1),11292(a,1,2,2)),flip(a)]. 14598 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(66,a,6691,a(flip),b,14594,a),flip(a)]. 14599 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(90(a,1),14598(a,1,2,1)),flip(a)]. 14600 T(x,y) / (y \ T(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(14098(a,1),14595(a,1,2))]. 14601 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(7147(a,1),14576(a,2,2,2,2))]. 14602 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2515(a,1),14601(a,2,2))]. 14603 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(90(a,1),14602(a,1,2,2,2,2,1,1,2))]. 14604 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(7662(a,1),14603(a,1,2,2,2)),flip(a)]. 14605 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2515(a,1),14604(a,2,2))]. 14606 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(15(a,1),14605(a,1,2,2)),flip(a)]. 14607 K(x,y \ ((y \ 1) \ z)) = y \ ((1 / y) \ K(x,z)). [hyper(128,a,14606,a),flip(a)]. 14608 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(14606(a,1),7399(a,1,1)),flip(a)]. 14609 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(66,a,14599,a(flip),b,14608,a)]. 14610 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14597(a,2,1))]. 14611 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (K(y,x) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14610(a,2,2,1))]. 14612 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (T(x,L(z,u,w)) \ 1). [para(10258(a,1),14611(a,2,2))]. 14613 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) * T(x,L(z,u,w)). [hyper(285,a,4398,a(flip),b,14612,a),flip(a)]. 14615 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(y,x) \ 1) = K(x,y) * T(y,L(z,u,w)). [para(5344(a,1),14613(a,1,1))]. 14616 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(x,y)) = K(x,y) * T(y,L(z,u,w)). [para(5320(a,1),14615(a,1,2,3))]. 14617 K(x,y) / (y \ K(z,L(y,u,w))) = K(x,y) * T(y,L(z,u,w)). [para(5333(a,1),14616(a,1,2))]. 14620 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (a(z,u,z) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(13505(a,1),12797(a,2,1,1))]. 14621 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (K(z,u) * y) \ (K(z,u) * (y * x)). [para(12856(a,1),14620(a,2,1))]. 14624 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = L(x,y,K(z,u)). [hyper(285,a,23,a,b,14621,a),flip(a)]. 14625 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(13505(a,1),14624(a,1,3))]. 14626 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(15(a,1),14625(a,1,1,3,2))]. 14629 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [hyper(14056,a,14626,a),flip(a)]. 14631 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5339(a,1),14629(a,1,3)),flip(a)]. 14632 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(285,a,14165,a(flip),b,14631,a),flip(a)]. 14633 L(x,y \ 1,K(y,z)) = x. [hyper(13167,a,14632,a),flip(a)]. 14634 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(14633(a,1),5632(a,1,2)),flip(a)]. 14635 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = (x \ K(x,y)) * z. [hyper(66,a,6146,a,b,14634,a)]. 14636 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ K(x \ y,y \ x)) * y,z). [para(14635(a,1),12354(a,1,1)),flip(a)]. 14637 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(285,a,6733,a(flip),b,14636,a),flip(a)]. 14639 K(x,(T((x \ y) \ 1,x \ y) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7187,a(flip),b,14637,a)]. 14640 K(x,(((x \ y) \ 1) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7178,a(flip),b,14639,a)]. 14641 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = K(((x \ y) \ 1) * y,z). [hyper(66,a,11838,a(flip),b,14640,a)]. 14643 ((L(x,y \ 1,y) / y) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4722(a,1),6178(a,1,1,1))]. 14644 ((L(x,y \ 1,y) / y) \ (x * K(y,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(3341(a,1),14643(a,1,1,2,2))]. 14645 ((L(x,y \ 1,y) / y) \ (x * K(y,y \ x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4664(a,1),14644(a,1,1,2,2))]. 14646 ((L(x,y \ 1,y) / y) \ (y * (x / y))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5435(a,1),14645(a,1,1,2))]. 14647 (L(x,y \ 1,y) / y) \ (y * (x / y)) = ((y \ 1) * x) \ x. [hyper(38,a,11381,a,b,14646,a),flip(a)]. 14649 (x * (y / x)) / (((x \ 1) * y) \ y) = L(y,x \ 1,x) / x. [hyper(185,a,14647,a)]. 14651 L(x,y \ 1,y) / y = x / R(y,y \ 1,x). [hyper(66,a,7601,a(flip),b,14649,a),flip(a)]. 14652 (x / R(y,y \ 1,x)) * y = L(x,y \ 1,y). [hyper(136,a,14651,a)]. 14653 L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x). [para(14652(a,1),1617(a,1,1))]. 14654 x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x). [hyper(66,a,1245,a(flip),b,14653,a)]. 14655 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (L(x,y \ 1,y) \ y)). [para(14654(a,1),10860(a,1,2,1,1))]. 14656 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ L(x,y \ 1,y)). [hyper(285,a,13468,a(flip),b,14655,a),flip(a)]. 14657 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ x). [hyper(285,a,11835,a(flip),b,14656,a),flip(a)]. 14659 K(x,y / (((z \ 1) * x) \ 1)) = K(x,(z / y) \ x). [hyper(66,a,12730,a(flip),b,14657,a)]. 14660 K(x,y / ((z * x) \ 1)) = K(x,((z \ 1) / y) \ x). [hyper(66,a,7201,a(flip),b,14659,a)]. 14661 R(K(x,((y \ 1) / (z / u)) \ x),z / u,u) = K(x,z / (((y * x) \ 1) * u)). [para(14660(a,1),6101(a,1,1))]. 14662 K(x,y / (((z * x) \ 1) * u)) = K(x,y / ((x \ (z \ 1)) * u)). [hyper(66,a,10861,a(flip),b,14661,a),flip(a)]. 14663 K(x,K(x,x \ y) / ((x \ ((x \ y) \ 1)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,13996,a(flip),b,14662,a),flip(a)]. 14664 K(x,((x \ ((x \ y) \ 1)) * (z \ y)) \ 1) = (1 / y) * (K(x,z) * y). [hyper(66,a,8157,a(flip),b,14663,a)]. 14666 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = (1 / y) * (K(x,z) * y). [hyper(66,a,13260,a(flip),b,14664,a)]. 14667 K(((x \ y) \ 1) * y,z) = (1 / y) * (K(x,z) * y). [hyper(66,a,14641,a(flip),b,14666,a)]. 14668 K(((x \ (y * x)) \ 1) * (y * x),z) = K((((x * y) \ 1) * y) \ 1,z). [hyper(285,a,13858,a(flip),b,14667,a),flip(a)]. 14669 K((((x * y) \ 1) * y) \ 1,z) = K((y \ 1) * (x * y),z). [para(6993(a,1),14668(a,1,1)),flip(a)]. 14670 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * ((y \ x) * y),z). [hyper(66,a,13868,a(flip),b,14669,a)]. 14671 K(((x \ 1) * y) \ 1,T(z,y)) = K(T((y \ 1) * x,y),z). [para(2179(a,1),14670(a,2,1))]. 14672 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * x,T(z,y)). [hyper(285,a,7761,a(flip),b,14671,a),flip(a)]. 14673 K((x \ 1) * y,T(T(z,y),x)) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,10450,a(flip),b,14672,a),flip(a)]. 14674 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(10965,a,14673,a),flip(a)]. 14676 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(66,a,6707,a(flip),b,14674,a),flip(a)]. 14677 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(14674(a,1),6907(a,2,1))]. 14678 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(66,a,6689,a(flip),b,14676,a),flip(a)]. 14679 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(14678(a,1),6971(a,1,1))]. 14680 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(15(a,1),14677(a,2,1,1))]. 14681 (1 / (x \ K(y,z))) \ y = x \ T(y,z). [hyper(39,a,172,a,b,14680,a),flip(a)]. 14682 K(x,y) / (z \ K(x,u)) = T(x,y) / (z \ T(x,u)). [para(14681(a,1),14680(a,1,2)),flip(a)]. 14683 K(x,y) / (y \ K(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [hyper(285,a,14600,a(flip),b,14682,a),flip(a)]. 14684 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6709(a,1),14679(a,1,1))]. 14685 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(180,a,14684,a)]. 14687 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(90(a,1),14685(a,1,1,2))]. 14688 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14687(a,2),7522(a,2,1))]. 14689 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(16(a,1),14688(a,1,2,1,1)),flip(a)]. 14690 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(66,a,14609,a,b,14689,a)]. 14691 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [hyper(124,a,14690,a(flip),b,14607,a(flip)),flip(a)]. 14692 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(17(a,1),14691(a,1,2,2)),flip(a)]. 14693 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(66,a,14596,a,b,14692,a)]. 14694 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(87(a,1),14693(a,1,1)),flip(a)]. 14696 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14694(a,2),7801(a,2,2)),flip(a)]. 14697 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [hyper(66,a,14617,a(flip),b,14683,a)]. 14698 x * a(y,z,K(x \ T(u,x),x)) = x * a(y,z,K(u,x)). [hyper(66,a,14574,a(flip),b,14697,a),flip(a)]. 14699 x * a(y,z,K(x \ u,x)) = x * a(y,z,K(u,x)). [para(4558(a,1),14698(a,1,2,3))]. 14700 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(259,a,14699,a),flip(a)]. 14702 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(14(a,1),14700(a,1,3,1)),flip(a)]. 14703 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6484(a,1),14700(a,1,3))]. 14704 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(13616(a,2),14700(a,1,3))]. 14705 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(14702(a,2),11359(a,1,1))]. 14706 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11360,a,14705,a)]. 14707 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(66,a,14703,a,b,14706,a)]. 14708 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(14570(a,1),14706(a,1,3)),flip(a)]. 14709 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(66,a,14707,a(flip),b,14708,a),flip(a)]. 14710 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(285,a,7801,a(flip),b,14696,a),flip(a)]. 14711 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(30(a,2),14710(a,1,2,1,2,2))]. 14712 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(30(a,2),14711(a,1,2,1,2,2,1))]. 14713 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(66,a,10359,a(flip),b,14712,a)]. 14715 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(90(a,1),14713(a,1,2))]. 14716 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(66,a,11681,a,b,14715,a)]. 14719 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(66,a,11492,a(flip),b,14716,a),flip(a)]. 14721 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14719(a,1),10729(a,1,1))]. 14722 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11830(a,1),14721(a,1,1))]. 14724 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(78(a,1),14722(a,1,1,2))]. 14725 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5514(a,1),14724(a,1,2))]. 14726 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(12134,a,14725,a)]. 14727 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2229(a,1),14726(a,1,2))]. 14728 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(11873(a,1),14727(a,1,2))]. 14729 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(128,a,14728,a)]. 14730 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14729(a,1),14077(a,1,1)),flip(a)]. 14731 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(121,a,14730,a,b,12372,a(flip))]. 14733 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [hyper(124,a,14731,a(flip),b,12777,a)]. 14734 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(285,a,13936,a(flip),b,14733,a),flip(a)]. 14735 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(13945(a,1),14734(a,1,2))]. 14736 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14735(a,1),441(a,1,2,2))]. 14738 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(103(a,1),14736(a,1,2))]. 14739 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12844,a,14738,a),flip(a)]. 14740 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13572,a,14739,a),flip(a)]. 14742 L(a(x,y,x),z,u) = a(x,y,x). [para(17(a,1),14740(a,1,2))]. 14751 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(66,a,14408,a(flip),b,14742,a),flip(a)]. 14752 a(x,L(y,z,u),x) = a(x,y,x). [hyper(66,a,14216,a(flip),b,14742,a)]. 14757 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(124,a,14752,a(flip),b,12777,a),flip(a)]. 14758 R(x,L(y,z,u),x) = R(x,y,x). [hyper(285,a,12778,a(flip),b,14757,a),flip(a)]. 14759 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),12180(a,1,2,1))]. 14761 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14751(a,1),12814(a,1,1)),flip(a)]. 14762 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(285,a,12814,a(flip),b,14761,a),flip(a)]. 14763 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),14759(a,1,2,2,1))]. 14765 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4182(a,2),14763(a,1,2))]. 14767 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4250(a,1),14765(a,1,2,2))]. 14768 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13726(a,1),14767(a,1,2))]. 14769 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(726(a,1),14768(a,1,2)),flip(a)]. 14770 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(66,a,9803,a(flip),b,14769,a)]. 14771 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(122,a,14770,a(flip),b,5130,a(flip))]. 14772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(66,a,11854,a(flip),b,14771,a),flip(a)]. 14773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(285,a,14580,a(flip),b,14772,a),flip(a)]. 14774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(17(a,1),14773(a,1,1))]. 14775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(66,a,10872,a(flip),b,14774,a)]. 14776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(13959(a,1),14775(a,2,3))]. 14777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(285,a,14700,a(flip),b,14776,a),flip(a)]. 14779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(66,a,13780,a(flip),b,14777,a)]. 14780 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(14777(a,1),14709(a,1,3)),flip(a)]. 14781 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(66,a,6675,a(flip),b,14779,a)]. 14782 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(14709(a,1),14780(a,2,3))]. 14783 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10691(a,1),14782(a,1,3))]. 14784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(66,a,14704,a(flip),b,14783,a)]. 14785 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14784(a,1),11127(a,1,2))]. 14786 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11702(a,1),14785(a,1,2)),flip(a)]. 14787 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(285,a,13,a(flip),b,14786,a),flip(a)]. 14789 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14787(a,1),9935(a,1,2,2)),flip(a)]. 14790 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(285,a,9935,a(flip),b,14789,a),flip(a)]. 14791 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(124,a,14790,a(flip),b,5125,a(flip)),flip(a)]. 14794 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(285,a,5130,a,b,14791,a),flip(a)]. 14795 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5075(a,1),14781(a,1,1))]. 14796 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(14(a,1),14795(a,1,2,2))]. 14798 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14762(a,1),14796(a,1,2))]. 14799 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(66,a,5738,a(flip),b,14798,a)]. 14800 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(66,a,9220,a(flip),b,14799,a)]. 14801 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14794(a,1),14800(a,1,2,1))]. 14802 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5476,a,14801,a)]. 14803 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),9941(a,1,2,1,2,2,2))]. 14804 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14803(a,1,2,1,2,2))]. 14805 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14804(a,1,2,1))]. 14806 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10424(a,1),14805(a,1,2,1,2))]. 14807 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7814(a,1),14806(a,1,2,1,2))]. 14809 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10126(a,1),14807(a,1,2,1))]. 14810 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),14809(a,1,2,2,1,2,1,2,2))]. 14811 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14810(a,1,2,2,1,2,1,2))]. 14812 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7860(a,1),14811(a,1,2,2,1,2))]. 14813 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9949(a,1),14812(a,1,2,2,1,2,2))]. 14814 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7789(a,1),14813(a,1,2,2,1,2,2))]. 14816 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(x,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10114(a,1),14814(a,1,2,2,1,2))]. 14817 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14816(a,1,2,2,1,2))]. 14818 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5414(a,2),14817(a,1,2,2,1))]. 14819 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(12518(a,2),14818(a,1,2))]. 14820 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,12519,a(flip),b,14819,a)]. 14821 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14820(a,1,2)),flip(a)]. 14822 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14821,a),flip(a)]. 14823 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1080(a,1),14822(a,1,1)),flip(a)]. 14824 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(66,a,14004,a,b,14823,a)]. 14825 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1080(a,1),14824(a,1,1))]. 14826 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14825(a,1),10667(a,1,2))]. 14827 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13330,a,14826,a),flip(a)]. 14828 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(285,a,7884,a,b,14827,a),flip(a)]. 14830 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(66,a,13486,a(flip),b,14828,a)]. 14831 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(285,a,7881,a,b,14830,a),flip(a)]. 14833 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(66,a,13487,a,b,14831,a)]. 14834 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(66,a,13898,a,b,14833,a)]. 14836 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(285,a,11571,a(flip),b,14834,a),flip(a)]. 14837 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(13318,a,14836,a)]. 14838 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14836(a,1),13318(a,1))]. 14839 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,7878,a,b,14837,a)]. 14840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(66,a,12269,a,b,14839,a)]. 14841 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(13375,a,14840,a)]. 14842 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * R(K(y,z),u,w)) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(27(a,2),11174(a,1,1)),flip(a)]. 14843 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(14440(a,1),14842(a,2,1,2,2))]. 14844 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ v5. [para(11042(a,1),14843(a,2,2))]. 14845 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [hyper(285,a,5119,a,b,14844,a),flip(a)]. 14846 K(K(x,y) * R(K(y,z),u,w),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(10947(a,1),14845(a,1,1,2))]. 14848 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(11042(a,1),14846(a,1,2))]. 14849 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(14460(a,1),14848(a,1,1)),flip(a)]. 14851 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(66,a,12009,a(flip),b,14849,a)]. 14852 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(14851(a,1),12044(a,1,1,1))]. 14853 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(2257(a,1),14852(a,1,1)),flip(a)]. 14854 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(285,a,8817,a(flip),b,14853,a),flip(a)]. 14855 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7860(a,1),14854(a,1,2,1,1))]. 14856 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(10155(a,1),14855(a,1,2,1))]. 14857 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5190(a,2),14856(a,1,2))]. 14858 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(66,a,12254,a,b,14857,a)]. 14859 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7889(a,1),14858(a,1,1))]. 14860 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(66,a,11953,a(flip),b,14859,a)]. 14861 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(66,a,14468,a(flip),b,14860,a),flip(a)]. 14862 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(37,a,5130,a(flip),b,14861,a),flip(a)]. 14863 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(66,a,14851,a,b,14862,a)]. 14864 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(14863(a,1),14485(a,1,2))]. 14865 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(125,a,14864,a),flip(a)]. 14866 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(285,a,14862,a,b,14865,a),flip(a)]. 14867 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7881(a,1),14865(a,1,1))]. 14868 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7881(a,1),14866(a,1,1))]. 14869 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14497(a,2),14866(a,2,1)),flip(a)]. 14870 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(14518(a,1),14867(a,2,2))]. 14871 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(66,a,14868,a,b,14869,a)]. 14872 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(66,a,14871,a(flip),b,14870,a),flip(a)]. 14873 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(66,a,10261,a,b,14872,a)]. 14874 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7884(a,2),14873(a,2,1))]. 14875 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(13364,a,14874,a)]. 14876 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(66,a,10277,a(flip),b,14875,a)]. 14877 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7908(a,1),14876(a,2,1))]. 14879 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10156(a,1),14877(a,2,1))]. 14880 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(13329,a,14879,a)]. 14883 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(66,a,13286,a(flip),b,14880,a)]. 14885 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,14841,a(flip),b,14883,a),flip(a)]. 14886 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(11539(a,1),14885(a,1,1)),flip(a)]. 14887 K(x,K(y * z,a(y,z,u))) = 1. [hyper(285,a,13359,a(flip),b,14886,a),flip(a)]. 14888 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14838,a,14887,a)]. 14891 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14888(a,1),7948(a,1,1)),flip(a)]. 14892 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(285,a,12,a(flip),b,14891,a),flip(a)]. 14893 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14892(a,1),7978(a,1,1)),flip(a)]. 14894 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7726,a,14893,a)]. 14895 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(10978,a,14894,a)]. 14896 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(66,a,13102,a,b,14895,a)]. 14897 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(14518(a,2),14896(a,1,1))]. 14898 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14491,a,b,14897,a)]. 14899 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14515,a(flip),b,14898,a)]. 14901 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14899(a,1),14526(a,1,2))]. 14902 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(66,a,13541,a(flip),b,14901,a)]. 14903 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5476,a,14902,a)]. 14905 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(285,a,14497,a(flip),b,14903,a),flip(a)]. 14908 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(66,a,14802,a(flip),b,14905,a),flip(a)]. 14909 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14908(a,1),14479(a,1,1,2))]. 14911 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(11727,a,14909,a),flip(a)]. 14912 a(K(x,y),z,u) = a(K(u,x),z,y). [hyper(285,a,14908,a,b,14911,a),flip(a)]. 14914 $F # answer("aK1 (2431)"). [resolve(14912,a,67,a)]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 3 at 2018.69 (+ 97.14) seconds: "aK3 (4213)". % Length of proof is 12377. % Level of proof is 672. % Maximum clause weight is 513.000 (73 w/o degradation). % Given clauses 13407 (19.951 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 9 a(x,y,K(z,u)) = a(u,y,K(x,z)) # label("aK3 (4213)") # label(non_clause) # label(goal). [goal]. 12 1 * x = x. [assumption]. 13 x * 1 = x. [assumption]. 14 x \ (x * y) = y. [assumption]. 15 x * (x \ y) = y. [assumption]. 16 (x * y) / y = x. [assumption]. 17 (x / y) * y = x. [assumption]. 18 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 19 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(18),flip(a)]. 20 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 21 K(x,y) = (y * x) \ (x * y). [copy(20),flip(a)]. 22 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 23 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(22),flip(a)]. 24 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 25 R(x,y,z) = ((x * y) * z) / (y * z). [copy(24),flip(a)]. 26 x \ (y * x) = T(y,x). [assumption]. 27 T(x,y) = y \ (x * y). [copy(26),flip(a)]. 28 T(T(x,y),z) = T(T(x,z),y). [assumption]. 29 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 30 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(29),flip(a)]. 31 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 32 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(31),flip(a)]. 33 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 34 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(33),flip(a)]. 35 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 36 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 37 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 38 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 39 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 40 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 41 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 42 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 43 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 44 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 45 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 46 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 47 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 48 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 49 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 50 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 51 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 52 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 53 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 54 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 55 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 56 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 57 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 58 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 59 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 60 x != y | x * z = y * z # label("Aux 1"). [assumption]. 61 x != y | z * x = z * y # label("Aux 2"). [assumption]. 62 x != y | x / z = y / z # label("Aux 3"). [assumption]. 63 x != y | z / x = z / y # label("Aux 4"). [assumption]. 64 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 65 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 66 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 72 a(c16,c14,K(c13,c15)) != a(c13,c14,K(c15,c16)) # label("aK3 (4213)") # answer("aK3 (4213)"). [deny(9)]. 73 a(c13,c14,K(c15,c16)) != a(c16,c14,K(c13,c15)) # answer("aK3 (4213)"). [copy(72),flip(a)]. 78 1 \ x = x. [para(12(a,1),14(a,1,2))]. 79 x \ x = 1. [para(13(a,1),14(a,1,2))]. 80 x \ (x * (y \ (y * z))) = z. [para(14(a,2),14(a,1))]. 81 (x * (x \ 1)) * y = y. [para(15(a,2),12(a,1,1))]. 82 x * (y * (y \ 1)) = x. [para(15(a,2),13(a,1,2))]. 83 x \ (y * (y \ (x * z))) = z. [para(15(a,2),14(a,1,2))]. 84 x * (y * (y \ (x \ z))) = z. [para(15(a,2),15(a,1,2))]. 85 x / x = 1. [para(12(a,1),16(a,1,1))]. 86 x / 1 = x. [para(13(a,1),16(a,1,1))]. 87 x / (y \ x) = y. [para(15(a,1),16(a,1,1))]. 88 ((1 / x) * x) * y = y. [para(17(a,2),12(a,1,1))]. 89 x * ((1 / y) * y) = x. [para(17(a,2),13(a,1,2))]. 90 (x / y) \ x = y. [para(17(a,1),14(a,1,2))]. 91 (x \ (x * (y / z))) * z = y. [para(14(a,2),17(a,1,1))]. 92 ((x * (x \ y)) / z) * z = y. [para(17(a,2),15(a,1))]. 93 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(19(a,2),15(a,1,2))]. 94 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(15(a,1),19(a,2,2,1)),flip(a)]. 95 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(17(a,1),19(a,2,2,1)),flip(a)]. 96 (x * y) * K(y,x) = y * x. [para(21(a,2),15(a,1,2))]. 97 x \ ((y \ x) * y) = K(y \ x,y). [para(15(a,1),21(a,2,1)),flip(a)]. 98 ((x \ y) * x) \ y = K(x,x \ y). [para(15(a,1),21(a,2,2)),flip(a)]. 99 x \ (y * (x / y)) = K(y,x / y). [para(17(a,1),21(a,2,1)),flip(a)]. 100 (x * (y / x)) \ y = K(y / x,x). [para(17(a,1),21(a,2,2)),flip(a)]. 101 x \ (1 * (x * y)) = L(y,x,1). [para(12(a,1),23(a,2,1)),flip(a)]. 102 (x * y) \ (x * y) = L(1,y,x). [para(13(a,1),23(a,2,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(23(a,2),15(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(15(a,1),23(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(15(a,1),23(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(17(a,1),23(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(17(a,1),23(a,2,2,2))]. 108 (x * y) / (x * y) = R(1,x,y). [para(12(a,1),25(a,2,1,1)),flip(a)]. 109 ((x * 1) * y) / y = R(x,1,y). [para(12(a,1),25(a,2,2)),flip(a)]. 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(15(a,1),25(a,2,1,1))]. 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(15(a,1),25(a,2,1))]. 112 R(x,y,z) * (y * z) = (x * y) * z. [para(25(a,2),17(a,1,1))]. 113 R(x / y,y,z) = (x * z) / (y * z). [para(17(a,1),25(a,2,1,1))]. 114 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(17(a,1),25(a,2,2)),flip(a)]. 115 T(x,x) = x. [para(27(a,2),14(a,1))]. 116 x * T(y,x) = y * x. [para(27(a,2),15(a,1,2))]. 117 T(x,x \ y) = (x \ y) \ y. [para(15(a,1),27(a,2,2))]. 118 T(x / y,y) = y \ x. [para(17(a,1),27(a,2,2))]. 119 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(32(a,2),28(a,1,1)),flip(a)]. 120 x != y | 1 * z != y | x = z. [para(12(a,1),37(a,1))]. 121 1 * x != y | z != y | x = z. [para(12(a,1),37(b,1))]. 122 x != y | z * u != y | z \ x = u. [para(15(a,1),37(a,1))]. 123 x != y | z * u != y | x / u = z. [para(17(a,1),38(a,1))]. 124 x != y | z \ u != y | z * x = u. [para(14(a,1),41(a,1))]. 125 1 * x != y | x = y. [para(12(a,1),46(a,2))]. 126 x * y != x | 1 = y. [para(13(a,1),46(a,1)),flip(a)]. 128 x * y != z | x \ z = y. [para(15(a,1),46(a,1)),flip(a)]. 129 x * (x \ (y * z)) != y * u | z = u. [para(15(a,2),46(a,1))]. 130 (x / y) * z != x | y = z. [para(17(a,1),46(a,1)),flip(a)]. 132 x * 1 != y | y = x. [para(13(a,1),47(a,1)),flip(a)]. 133 x * 1 != y | x = y. [para(13(a,1),47(a,2))]. 134 x * (y \ z) != z | x = y. [para(15(a,1),47(a,2))]. 135 x * y != z | z / y = x. [para(17(a,1),47(a,1)),flip(a)]. 136 x / y != z | z * y = x. [para(16(a,1),49(a,1)),flip(a)]. 138 x \ y != z | x * z = y. [para(14(a,1),50(a,1)),flip(a)]. 140 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(23(a,2),51(a,1)),flip(a)]. 142 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(28(a,1),52(a,1))]. 143 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(30(a,2),52(a,1)),flip(a)]. 144 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(32(a,2),52(a,1)),flip(a)]. 146 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(34(a,2),53(a,1))]. 147 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(35(a,1),53(a,1))]. 148 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(32(a,1),54(a,1))]. 149 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(34(a,1),54(a,1)),flip(a)]. 150 ((x / y) * y) * z = x * z. [hyper(60,a,17,a)]. 151 (x * (x \ y)) * z = y * z. [hyper(60,a,15,a)]. 152 x * (y * (y \ z)) = x * z. [hyper(61,a,15,a)]. 153 ((x / y) * y) / z = x / z. [hyper(62,a,17,a)]. 154 (x * (x \ y)) \ z = y \ z. [hyper(64,a,15,a)]. 155 (x * y) / y = (x / z) * z. [hyper(66,a,17,a,b,16,a(flip)),flip(a)]. 156 (x / y) * y = z * (z \ x). [hyper(66,a,17,a,b,15,a(flip))]. 157 (x / y) * y = x * 1. [hyper(66,a,17,a,b,13,a(flip))]. 158 x \ (x * y) = z * (z \ y). [hyper(66,a,15,a,b,14,a(flip)),flip(a)]. 159 x * (x \ y) = y * 1. [hyper(66,a,15,a,b,13,a(flip))]. 160 1 \ (x * 1) = x. [hyper(66,a,78,a,b,13,a)]. 161 (x * (x \ 1)) \ y = y. [para(15(a,2),78(a,1,1))]. 162 ((1 / x) * x) \ y = y. [para(17(a,2),78(a,1,1))]. 163 1 \ x != y | y = x. [para(78(a,1),50(a,1)),flip(a)]. 165 K(x,x) = 1. [hyper(66,a,21,a,b,79,a)]. 166 x / ((1 / y) * y) = x. [para(17(a,2),86(a,1,2))]. 167 x / 1 != y | y = x. [para(86(a,1),49(a,1)),flip(a)]. 168 T(x,R(x,y,z)) = x. [hyper(45,a,32,a,b,115,a(flip))]. 169 T(x,L(x,y,z)) = x. [hyper(44,a,30,a,b,115,a(flip))]. 170 T(x,T(x,y)) = x. [hyper(43,a,28,a,b,115,a(flip))]. 171 T(T(x,y),x) = T(x,y). [para(115(a,1),28(a,1,1)),flip(a)]. 172 x / (y \ x) = z / (y \ z). [hyper(66,a,87,a,b,87,a(flip))]. 173 (x * y) / y = z / (x \ z). [hyper(66,a,87,a,b,16,a(flip)),flip(a)]. 174 x / (y \ x) = z * (z \ y). [hyper(66,a,87,a,b,15,a(flip))]. 175 (x / (y \ x)) * z = y * z. [hyper(60,a,87,a)]. 176 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(39,a,25,a(flip),b,87,a),flip(a)]. 177 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(19(a,2),87(a,1,2))]. 178 (x * (y * z)) / L(z,y,x) = x * y. [para(23(a,2),87(a,1,2))]. 179 (x * y) / T(x,y) = y. [para(27(a,2),87(a,1,2))]. 180 x / y != z | z \ x = y. [para(87(a,1),48(a,1)),flip(a)]. 181 x / (y / ((z \ x) \ y)) = z. [para(87(a,2),87(a,1,2))]. 182 ((x / y) \ x) * z = y * z. [hyper(60,a,90,a)]. 183 x * ((y / (x \ z)) \ y) = z. [hyper(41,a,14,a,b,90,a(flip))]. 184 ((x / (y / z)) \ x) \ y = z. [hyper(39,a,87,a,b,90,a(flip))]. 185 x \ y != z | y / z = x. [para(90(a,1),51(a,1)),flip(a)]. 186 T(x,1) = x. [hyper(66,a,27,a,b,160,a)]. 187 K(x,1) = 1. [hyper(58,a,186,a)]. 188 T(1,x) = 1. [hyper(57,a,186,a)]. 189 T(x,y \ y) = x. [para(79(a,2),186(a,1,2))]. 191 T(x,T(T(x,y),z)) = x. [hyper(43,a,28,a,b,170,a(flip))]. 192 T(x,y \ y) != z | x = z. [para(189(a,1),52(a,2))]. 193 ((1 / x) * x) * y != z | y = z. [para(17(a,2),125(a,1,1))]. 194 K(x,1) * y != z | y = z. [para(187(a,2),125(a,1,1))]. 195 x * (y * (y \ 1)) != z | z = x. [para(15(a,2),132(a,1,2))]. 196 x / (y * (y \ 1)) != z | z = x. [para(15(a,2),167(a,1,2))]. 197 T(x,R(T(x,y),z,u)) = x. [hyper(43,a,28,a,b,168,a(flip))]. 198 T(x,L(L(x,y,z),u,w)) = x. [hyper(44,a,30,a,b,169,a(flip))]. 199 T(T(x,y),L(x,z,u)) = T(x,y). [para(169(a,1),28(a,1,1)),flip(a)]. 200 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(81(a,1),25(a,2,1))]. 202 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(82(a,1),19(a,2,1)),flip(a)]. 203 L(x \ 1,x,y) = (y * x) \ y. [para(82(a,1),23(a,2,2))]. 204 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(88(a,1),19(a,2,2)),flip(a)]. 205 R(1 / x,x,y) = y / (x * y). [para(88(a,1),25(a,2,1))]. 206 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(89(a,1),19(a,2,1)),flip(a)]. 207 (x \ y) * T(x,x \ y) = y. [hyper(66,a,116,a,b,15,a)]. 208 T((x * y) / x,x) = y. [hyper(37,a,17,a(flip),b,116,a),flip(a)]. 209 (x * T(y,x)) / x = y. [hyper(38,a,17,a,b,116,a(flip))]. 210 x \ (y * T(x,y)) = y. [hyper(37,a,15,a,b,116,a(flip))]. 211 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(116(a,1),19(a,2,1,2)),flip(a)]. 212 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(116(a,1),19(a,2,2,1)),flip(a)]. 213 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(116(a,1),19(a,2,2)),flip(a)]. 214 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(116(a,1),21(a,2,1)),flip(a)]. 215 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(116(a,1),23(a,2,1)),flip(a)]. 216 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(116(a,1),23(a,2,2,2)),flip(a)]. 217 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(116(a,1),25(a,2,1,1)),flip(a)]. 218 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(116(a,1),25(a,2,1)),flip(a)]. 219 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(116(a,1),25(a,2,2)),flip(a)]. 220 T(x,y) \ (x * y) = T(y,T(x,y)). [para(116(a,1),27(a,2,2)),flip(a)]. 221 x * T(T(y,x),z) = T(y,z) * x. [para(28(a,1),116(a,1,2))]. 222 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(30(a,2),116(a,1,2))]. 223 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(32(a,2),116(a,1,2))]. 224 x * y != z | y * u != z | T(x,y) = u. [para(116(a,1),37(a,1))]. 225 x * y != z * x | T(z,x) = y. [para(116(a,1),46(a,1)),flip(a)]. 226 x * T(y,x) != y * z | z = x. [para(116(a,2),46(a,2)),flip(a)]. 227 x * T(y,x) != z * x | y = z. [para(116(a,2),47(a,1))]. 228 x * T(y,x) != z * x | z = y. [para(116(a,2),47(a,2)),flip(a)]. 229 T(x,y) * x = x * T(x,y). [para(170(a,1),116(a,1,2))]. 230 T(x / (x / y),x / y) = y. [hyper(66,a,118,a,b,90,a)]. 231 T(T(x / y,z),y) = T(y \ x,z). [para(118(a,1),28(a,1,1)),flip(a)]. 232 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(118(a,1),30(a,1,1)),flip(a)]. 233 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(118(a,1),32(a,1,1)),flip(a)]. 235 x * 1 != y * z | x / z = y. [para(157(a,1),47(a,1))]. 236 (x / y) * y != z | z = x. [para(157(a,2),132(a,1))]. 237 (x / y) * y != z | x = z. [para(157(a,2),133(a,1))]. 238 x \ (y * (y \ x)) = 1. [hyper(37,a,15,a,b,159,a(flip))]. 239 x * 1 != y * z | y \ x = z. [para(159(a,1),46(a,1))]. 240 x * (x \ y) != z | z = y. [para(159(a,2),132(a,1))]. 241 x * (x \ y) != z | y = z. [para(159(a,2),133(a,1))]. 242 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(66,a,23,a,b,161,a),flip(a)]. 243 K(x \ 1,x) = (x \ 1) * x. [hyper(66,a,21,a,b,161,a)]. 244 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(66,a,23,a,b,162,a),flip(a)]. 245 K(x,1 / x) = x * (1 / x). [hyper(66,a,21,a,b,162,a)]. 246 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(66,a,19,a,b,162,a),flip(a)]. 247 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(66,a,25,a,b,166,a),flip(a)]. 248 K(T(x,y),x) = 1. [hyper(58,a,171,a)]. 249 x / T(y,y \ x) = y \ x. [para(15(a,1),179(a,1,1))]. 250 (x * y) / z != y | T(x,y) = z. [para(179(a,1),48(a,1)),flip(a)]. 251 (x * y) / T(y,T(x,y)) = T(x,y). [para(116(a,1),179(a,1,1))]. 252 (x * T(T(y,x),z)) / x = T(y,z). [hyper(43,a,28,a,b,208,a),flip(a)]. 253 T(T((x * y) / x,z),x) = T(y,z). [para(208(a,1),28(a,1,1)),flip(a)]. 254 T(x,y) != z | (y * z) / y = x. [para(208(a,1),52(a,1)),flip(a)]. 255 T((x * y) / x,y) = (x * y) / x. [para(208(a,1),170(a,1,2))]. 256 K(x,(y * x) / y) = 1. [para(208(a,1),248(a,1,1))]. 257 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(30(a,2),210(a,1,2,2))]. 258 T(x,(y * x) / y) = x. [hyper(59,a,256,a)]. 259 x * y != x * z | z = y. [para(16(a,1),130(a,1,1))]. 260 x * L(y,z,u) != u * (z * y) | u * z = x. [para(23(a,2),134(a,1,2)),flip(b)]. 262 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(25(a,2),236(a,1,1)),flip(b)]. 263 x * T(y,x) != z | y * x = z. [para(179(a,1),236(a,1,1)),flip(b)]. 264 x * y != z | y * T(x,y) = z. [para(209(a,1),236(a,1,1)),flip(b)]. 265 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(23(a,2),240(a,1,2)),flip(b)]. 267 x \ ((x * y) * L(z,y,x)) = y * z. [para(23(a,2),83(a,1,2,2))]. 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(84(a,1),23(a,2,2))]. 269 ((x * (x \ y)) / z) \ y = z. [hyper(128,a,92,a)]. 271 x * K(y \ x,y) = (y \ x) * y. [para(15(a,1),96(a,1,1))]. 272 x * K(y,x / y) = y * (x / y). [para(17(a,1),96(a,1,1))]. 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(96(a,1),23(a,2,2,2)),flip(a)]. 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(96(a,1),25(a,2,1)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(96(a,1),46(a,1)),flip(a)]. 278 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(65,a,117,a)]. 279 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(63,a,117,a)]. 280 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(61,a,117,a)]. 281 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(60,a,117,a)]. 282 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(117(a,1),28(a,1,1)),flip(a)]. 284 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(117(a,2),117(a,1,2))]. 285 x != y | z != y | x = z. [para(12(a,1),120(b,1))]. 286 ((x / y) * y) * (x \ z) = z. [hyper(285,a,15,a(flip),b,150,a),flip(a)]. 287 x * y != z * y | (z / u) * u = x. [para(150(a,1),47(a,2)),flip(b)]. 288 (x / (y * (y \ z))) * z = x. [hyper(237,a,152,a),flip(a)]. 289 (((x / y) * y) / z) \ x = z. [hyper(39,a,87,a(flip),b,153,a),flip(a)]. 291 x / y != (z / u) * u | z * y = x. [para(155(a,1),49(a,1)),flip(a)]. 293 ((x / y) * y) * z != u | x * z = u. [para(155(a,1),236(a,1,1)),flip(b)]. 294 (x * y) / y != z | z = x. [para(155(a,2),236(a,1))]. 295 (x * y) / y != z | x = z. [para(155(a,2),237(a,1))]. 296 x / x != y | 1 = y. [para(12(a,1),294(a,1,1)),flip(b)]. 297 x / (y \ x) != z | z = y. [para(15(a,1),294(a,1,1))]. 298 (x * T(y,x)) / x != z | z = y. [para(116(a,2),294(a,1,1))]. 299 (x / y) * y != z * u | z \ x = u. [para(156(a,2),46(a,1))]. 300 x * (x \ y) != z * u | y / u = z. [para(156(a,1),47(a,1))]. 302 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),50(a,1)),flip(a)]. 303 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),240(a,1,2)),flip(b)]. 304 x \ (x * y) != z | z = y. [para(158(a,2),240(a,1))]. 305 x \ (x * y) != z | y = z. [para(158(a,2),241(a,1))]. 306 x \ x != y | 1 = y. [para(13(a,1),304(a,1,2)),flip(b)]. 307 (x / y) \ x != z | z = y. [para(17(a,1),304(a,1,2))]. 308 x \ (y * x) != z | T(y,x) = z. [para(116(a,1),304(a,1,2)),flip(b)]. 310 (x * y) \ (y * x) != z | K(y,x) = z. [para(96(a,1),304(a,1,2)),flip(b)]. 311 (x / y) \ x != z | y = z. [para(17(a,1),305(a,1,2))]. 312 x \ ((y / (x \ y)) * z) = z. [hyper(39,a,16,a,b,172,a),flip(a)]. 315 (x / (y \ x)) * z != u | y * z = u. [para(173(a,1),236(a,1,1)),flip(b)]. 316 (x * (x \ y)) \ z != u | y \ z = u. [para(174(a,1),307(a,1,1)),flip(b)]. 317 ((x / y) \ x) * (y \ z) = z. [hyper(285,a,15,a(flip),b,182,a),flip(a)]. 318 ((x / y) \ x) * z != u | y \ u = z. [para(182(a,2),128(a,1))]. 319 (x / y) * ((z / y) \ z) = x. [para(90(a,1),183(a,1,2,1,2))]. 320 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(207(a,1),23(a,2,2,2))]. 322 (x \ y) * z != y | T(x,x \ y) = z. [para(207(a,1),46(a,1)),flip(a)]. 324 T(x / (x / y),(z / (x / y)) \ z) = y. [para(90(a,2),230(a,1,2))]. 325 x * T(x \ 1,x) = K(x \ 1,x). [hyper(285,a,116,a,b,243,a)]. 326 (x \ 1) \ K(x \ 1,x) = x. [hyper(128,a,243,a(flip))]. 327 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(243(a,2),19(a,2,1,2)),flip(a)]. 328 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(243(a,2),25(a,2,1,1)),flip(a)]. 329 x \ K(x \ 1,x) = T(x \ 1,x). [para(243(a,2),27(a,2,2)),flip(a)]. 331 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(245(a,2),23(a,2,1)),flip(a)]. 332 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(32(a,2),249(a,1,2))]. 334 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(286(a,1),25(a,2,1))]. 335 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(25(a,2),288(a,1,1))]. 336 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(249(a,1),317(a,1,1,1))]. 337 x * ((y / z) \ y) != u | u / z = x. [para(319(a,1),47(a,1)),flip(a)]. 338 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(249(a,1),319(a,1,2,1))]. 339 (x \ 1) * x != y | K(x \ 1,x) = y. [para(326(a,1),240(a,1,2)),flip(b)]. 340 x \ (x * y) = L(y,x,1). [para(12(a,1),101(a,1,2))]. 341 L(x,y,1) = x. [hyper(305,a,340,a),flip(a)]. 342 L(x,y,1) = z \ (z * x). [hyper(285,a,14,a,b,341,a),flip(a)]. 344 L(x,y,1) != z \ (z * u) | u = x. [para(342(a,1),53(a,1)),flip(a)]. 345 L(1,x,y) = 1. [hyper(306,a,102,a),flip(a)]. 348 R(1,x,y) = 1. [hyper(296,a,108,a),flip(a)]. 351 (x * y) / y = R(x,1,y). [para(13(a,1),109(a,1,1,1))]. 352 R(x,1,y) = x. [hyper(295,a,351,a),flip(a)]. 355 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(196,a,25,a(flip)),flip(a)]. 356 L(x \ 1,x,1 / x) = 1 / x. [hyper(285,a,162,a(flip),b,203,a),flip(a)]. 357 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(285,a,154,a(flip),b,203,a),flip(a)]. 358 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(64,a,203,a)]. 359 x / L(y \ 1,y,x) = x * y. [hyper(185,a,203,a(flip))]. 360 (x * y) * L(y \ 1,y,x) = x. [hyper(138,a,203,a(flip))]. 361 L(x \ 1,x,y / x) = y \ (y / x). [para(17(a,1),203(a,2,1))]. 362 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(203(a,1),30(a,2,1)),flip(a)]. 363 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(203(a,1),34(a,1,1))]. 364 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(203(a,1),35(a,1,1)),flip(a)]. 365 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(60,a,205,a)]. 366 R(1 / x,x,x \ 1) = x \ 1. [hyper(196,a,205,a(flip))]. 367 R(1 / x,x,y) \ y = x * y. [hyper(180,a,205,a(flip))]. 368 R(1 / x,x,x \ y) = (x \ y) / y. [para(15(a,1),205(a,2,2))]. 369 R(1 / (x / y),x / y,y) = y / x. [para(17(a,1),205(a,2,2))]. 370 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(205(a,1),32(a,2,1)),flip(a)]. 371 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(205(a,1),36(a,1,1)),flip(a)]. 375 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(14(a,2),225(a,2)),flip(a)]. 376 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(28(a,1),227(a,1,2))]. 379 (x / y) * y != z * u | x / u = z. [para(157(a,2),235(a,1))]. 380 x * (y * (y \ 1)) != z * u | z \ x = u. [para(15(a,2),239(a,1,2))]. 381 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),239(a,1))]. 382 (x * y) / z != K(x,y) | T(y * x,K(x,y)) = z. [para(96(a,1),250(a,1,1))]. 383 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(28(a,1),263(a,1,2))]. 384 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(30(a,2),263(a,1,2))]. 385 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(32(a,2),263(a,1,2))]. 386 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(116(a,1),308(a,1,2))]. 388 x / y != x * z | L(z \ 1,z,x) = y. [para(359(a,1),48(a,1)),flip(a)]. 389 x / L(y,1 / y,x) = x * (1 / y). [para(90(a,1),359(a,1,2,1))]. 390 (x * y) * z != x | L(y \ 1,y,x) = z. [para(359(a,1),130(a,1,1))]. 391 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(359(a,1),307(a,1,1)),flip(b)]. 392 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),317(a,1,1,1))]. 393 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(360(a,1),23(a,2,2,2))]. 394 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(87(a,1),367(a,1,1,1))]. 395 x / (y * x) != z | R(1 / y,y,x) = z. [para(367(a,1),297(a,1,2)),flip(b)]. 396 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(14(a,1),97(a,2,1)),flip(a)]. 397 K(x \ 1,x) != y | (x \ 1) * x = y. [para(97(a,1),163(a,1)),flip(b)]. 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(116(a,2),97(a,1,2))]. 399 x * K(y \ x,y) != z | (y \ x) * y = z. [para(97(a,1),240(a,1,2)),flip(b)]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(243(a,2),98(a,1,1))]. 402 K(x,1 / x) != y | x * (1 / x) = y. [para(99(a,1),163(a,1)),flip(b)]. 403 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(122,a,23,a,b,162,a(flip))]. 404 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(122,a,23,a,b,161,a(flip))]. 406 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(123,a,203,a,b,12,a)]. 407 R(x,1 / y,y) / y = x * (1 / y). [hyper(123,a,25,a,b,166,a(flip))]. 408 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(123,a,203,a(flip),b,12,a)]. 409 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(124,a,117,a,b,90,a)]. 410 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(124,a,35,a,b,23,a(flip))]. 411 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(124,a,34,a,b,23,a(flip))]. 412 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(124,a,23,a,b,154,a(flip))]. 413 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(124,a,30,a(flip),b,23,a(flip))]. 414 x * T(x \ (y * x),z) = T(y,z) * x. [para(27(a,1),221(a,1,2,1))]. 415 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(28(a,1),221(a,1,2,1))]. 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(170(a,1),221(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(118(a,1),221(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(208(a,1),221(a,1,2,1)),flip(a)]. 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(117(a,1),221(a,1,2,1))]. 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(254,a,231,a)]. 421 T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). [para(231(a,1),28(a,1,1)),flip(a)]. 423 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(231(a,1),263(a,1,2))]. 424 T(T(x / y,z),u) * y = y * T(T(y \ x,z),u). [para(231(a,1),221(a,1,2,1)),flip(a)]. 425 (x * T(y,z)) / x = T((x * y) / x,z). [para(208(a,1),252(a,1,1,2,1))]. 426 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(253(a,1),52(a,2)),flip(b)]. 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(253(a,1),227(a,1,2))]. 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(253(a,1),298(a,1,1,2)),flip(b)]. 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),23(a,2,2,2)),flip(a)]. 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),304(a,1,2)),flip(b)]. 433 x * K(y,x / y) != y * z | x / y = z. [para(272(a,2),46(a,1))]. 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),304(a,1,2)),flip(b)]. 436 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(185,a,401,a)]. 437 (x * y) / L(z \ y,z,x) = x * z. [hyper(123,a,152,a(flip),b,103,a)]. 438 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(123,a,17,a(flip),b,103,a)]. 439 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(66,a,150,a(flip),b,103,a)]. 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),23(a,2,1)),flip(a)]. 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),23(a,2,2,2)),flip(a)]. 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(103(a,1),25(a,2,1,1)),flip(a)]. 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(103(a,1),25(a,2,1)),flip(a)]. 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),46(a,1)),flip(a)]. 446 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(116(a,1),103(a,1,1))]. 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),304(a,1,2)),flip(b)]. 448 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(243(a,2),103(a,1,1))]. 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),193(a,1))]. 450 L(x \ T(y * x,y),x,y) = y. [hyper(285,a,210,a(flip),b,105,a),flip(a)]. 451 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(285,a,162,a(flip),b,105,a),flip(a)]. 452 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(285,a,161,a(flip),b,105,a),flip(a)]. 453 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(285,a,154,a(flip),b,105,a),flip(a)]. 454 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(17(a,1),105(a,2,1))]. 455 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(17(a,1),105(a,2,2))]. 456 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(19(a,2),105(a,1,1)),flip(a)]. 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(116(a,1),105(a,2,1))]. 458 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(116(a,1),105(a,2,2))]. 459 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 460 (R(x,y,z) * (y * z)) / z = x * y. [hyper(123,a,112,a,b,xx)]. 461 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(122,a,286,a(flip),b,112,a)]. 462 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(122,a,151,a(flip),b,112,a)]. 463 R(x / y,y,z) \ (x * z) = y * z. [hyper(122,a,150,a(flip),b,112,a)]. 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,82,a(flip),b,112,a(flip))]. 465 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(122,a,82,a(flip),b,112,a(flip))]. 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(122,a,112,a(flip),b,103,a)]. 467 R(x,y / z,z) * y = (x * (y / z)) * z. [para(17(a,1),112(a,1,2))]. 468 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(112(a,1),19(a,2,1)),flip(a)]. 469 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(112(a,1),25(a,2,1,1)),flip(a)]. 470 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(112(a,1),25(a,2,2)),flip(a)]. 471 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(32(a,1),112(a,1,1))]. 472 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(34(a,1),112(a,1,1))]. 473 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(36(a,1),112(a,1,1))]. 474 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(112(a,2),46(a,2)),flip(a)]. 475 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(112(a,1),47(a,1))]. 476 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(116(a,1),112(a,1,2))]. 477 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(112(a,1),96(a,1,1))]. 478 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(96(a,1),112(a,1,2))]. 479 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(112(a,1),294(a,1,1)),flip(b)]. 480 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(112(a,2),294(a,1,1)),flip(b)]. 481 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(243(a,2),112(a,1,2))]. 482 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(112(a,1),195(a,1)),flip(b)]. 484 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(112(a,1),103(a,1,1))]. 485 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(112(a,1),112(a,1,2))]. 486 R(x / (1 / y),1 / y,y) = x * y. [hyper(285,a,166,a(flip),b,113,a),flip(a)]. 487 R((x / y) / z,z,y) = x / (z * y). [hyper(285,a,153,a(flip),b,113,a),flip(a)]. 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(196,a,113,a(flip))]. 489 R(x / (y / z),y / z,z) = (x * z) / y. [para(17(a,1),113(a,2,2))]. 490 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(113(a,1),32(a,2,1)),flip(a)]. 491 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(229(a,1),113(a,2,2))]. 492 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(113(a,2),196(a,1)),flip(b)]. 493 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(112(a,1),113(a,2,1))]. 494 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(112(a,1),113(a,2,2))]. 495 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(113(a,2),113(a,1,1))]. 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(96(a,1),176(a,1,2,1))]. 498 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),176(a,1,2,1))]. 499 (x * y) / L(z,y / z,x) = x * (y / z). [para(17(a,1),178(a,1,1,2))]. 501 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(116(a,1),178(a,1,1,2))]. 502 R(x,x \ 1,(x \ 1) \ y) = ((x \ 1) \ y) / y. [para(15(a,1),200(a,2,2))]. 503 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(122,a,35,a,b,242,a)]. 504 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(122,a,30,a(flip),b,242,a)]. 505 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(242(a,1),46(a,1))]. 506 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(122,a,35,a,b,244,a)]. 507 L(x,y / x,1 / (y / x)) = (1 / (y / x)) * y. [para(17(a,1),244(a,1,2)),flip(a)]. 508 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(123,a,34,a(flip),b,247,a)]. 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),30(a,2,1))]. 513 (x * (x \ y)) * z != u | y * z = u. [para(87(a,1),293(a,1,1,1))]. 515 1 * x != y * z | y \ x = z. [para(85(a,1),299(a,1,1))]. 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(179(a,1),299(a,1,1))]. 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(155(a,1),299(a,1,1))]. 519 (x * (x \ 1)) * y != z * u | z \ y = u. [para(15(a,2),515(a,1,1))]. 525 ((1 / x) * x) * y != z * u | y / u = z. [para(162(a,1),300(a,1,2))]. 526 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(158(a,1),300(a,1,2))]. 533 x \ y != z * T(u,z) | x * (u * z) = y. [para(27(a,2),302(a,2,2))]. 534 x \ y != (z / u) * u | x * z = y. [para(90(a,1),302(a,2,2))]. 535 x \ (x * y) != z \ u | z * y = u. [para(158(a,2),302(a,2)),flip(a)]. 539 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(242(a,1),303(a,1))]. 542 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(123,a,34,a(flip),b,355,a)]. 543 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(122,a,355,a(flip),b,116,a)]. 544 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(117(a,2),355(a,1,2))]. 545 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(112(a,1),355(a,1,1)),flip(a)]. 546 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(357(a,1),169(a,1,2))]. 547 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(361(a,1),30(a,2,1)),flip(a)]. 548 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(368(a,1),32(a,2,1)),flip(a)]. 549 (((x / y) / z) * z) * y != u * w | x / w = u. [para(17(a,2),379(a,1,1))]. 550 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(155(a,1),379(a,1,1))]. 551 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(15(a,2),381(a,1,2))]. 552 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),381(a,1,2))]. 554 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(389(a,1),48(a,1)),flip(a)]. 555 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(394(a,1),51(a,1)),flip(a)]. 556 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(404(a,1),240(a,1,2)),flip(b)]. 560 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(407(a,1),236(a,1,1)),flip(b)]. 561 x / L(y \ z,y,x / z) = (x / z) * y. [hyper(66,a,153,a(flip),b,437,a)]. 563 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(437(a,1),307(a,1,1)),flip(b)]. 564 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(451(a,1),30(a,2,1))]. 565 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(451(a,1),34(a,1,1)),flip(a)]. 566 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(452(a,1),30(a,2,1))]. 567 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(452(a,1),169(a,1,2))]. 570 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(116(a,1),463(a,1,2))]. 571 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(205(a,2),463(a,1,1,1))]. 572 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(486(a,1),32(a,2,1))]. 573 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),32(a,2,1))]. 574 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(488(a,1),34(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),36(a,1,1)),flip(a)]. 576 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),168(a,1,2))]. 577 T(x * (y \ 1),x / y) = x * (y \ 1). [hyper(57,a,576,a)]. 578 x \ y != (z / (u \ z)) * w | x * (u * w) = y. [para(173(a,1),534(a,2,1))]. 582 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(66,a,103,a(flip),b,222,a)]. 583 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(122,a,222,a(flip),b,103,a(flip))]. 584 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(222(a,1),19(a,2,1,2)),flip(a)]. 585 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(27(a,1),222(a,1,2,1))]. 586 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(32(a,2),222(a,1,2,1))]. 587 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(118(a,1),222(a,1,2,1)),flip(a)]. 588 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(208(a,1),222(a,1,2,1)),flip(a)]. 589 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(122,a,112,a(flip),b,223,a)]. 591 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(28(a,1),223(a,1,2,1))]. 592 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(223(a,1),46(a,1))]. 593 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(118(a,1),223(a,1,2,1)),flip(a)]. 594 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(208(a,1),223(a,1,2,1)),flip(a)]. 595 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(117(a,1),223(a,1,2,1))]. 596 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(230(a,1),223(a,1,2,1)),flip(a)]. 597 T(x / y,(z / y) \ z) = y \ x. [hyper(224,a,319,a,b,317,a)]. 598 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(224,a,103,a(flip),b,150,a(flip))]. 599 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(254,a,232,a)]. 600 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(254,a,233,a)]. 601 T(x / (y * x),y) = R(y \ 1,y,x). [para(205(a,1),233(a,1,1))]. 602 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(366(a,1),233(a,1,1)),flip(a)]. 603 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(113(a,1),233(a,1,1))]. 604 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(369(a,1),233(a,1,1)),flip(a)]. 605 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(487(a,1),233(a,1,1)),flip(a)]. 606 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),233(a,1,1)),flip(a)]. 607 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(124,a,601,a(flip),b,27,a(flip)),flip(a)]. 608 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(601(a,1),263(a,1,2))]. 609 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(278(a,1),50(a,1))]. 610 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(278(a,2),249(a,1,2,2))]. 611 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(295,a,279,a),flip(a)]. 612 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(279(a,1),136(a,1))]. 614 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(263,a,281,a),flip(a)]. 615 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(224,a,281,a,b,116,a)]. 616 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(122,a,281,a,b,xx)]. 617 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(281(a,2),21(a,2,1)),flip(a)]. 618 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(281(a,2),310(a,1,1))]. 619 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(282(a,1),263(a,1,2))]. 620 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(282(a,1),221(a,1,2,1))]. 621 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(17(a,1),391(a,1,1))]. 622 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(116(a,1),395(a,1,2))]. 623 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(245(a,2),395(a,1,2))]. 624 K(x \ (x * y),x) = K(y,x). [hyper(285,a,97,a(flip),b,396,a)]. 625 K(x \ (x * y),z) = K(y,z). [para(80(a,1),624(a,1,1)),flip(a)]. 626 K((x / y) \ x,z) = K(y,z). [para(17(a,1),625(a,1,1,2))]. 627 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(409(a,1),294(a,1,1)),flip(b)]. 628 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(66,a,281,a(flip),b,418,a)]. 629 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),236(a,1,1)),flip(b)]. 630 T(x / y,y) != z | y \ x = z. [para(420(a,1),298(a,1)),flip(b)]. 632 T(x,x \ y) != z | (x \ y) \ y = z. [para(87(a,1),630(a,1,1))]. 633 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(179(a,1),630(a,1,1))]. 634 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(249(a,1),630(a,1,1))]. 635 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(117(a,2),632(a,1,2))]. 636 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(98(a,1),632(a,1,2))]. 637 T((x * y) / x,L(y,z,u)) = (x * y) / x. [para(169(a,1),425(a,1,1,2)),flip(a)]. 638 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(118(a,1),425(a,1,1,2)),flip(a)]. 639 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(425(a,1),236(a,1,1)),flip(b)]. 640 T(x * y,(x \ 1) \ y) = x * y. [hyper(57,a,567,a)]. 641 T(x * ((y \ x) \ 1),y) = x * ((y \ x) \ 1). [para(87(a,1),577(a,1,2))]. 642 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(616(a,1),240(a,1,2)),flip(b)]. 644 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(15(a,1),93(a,1,1,2))]. 645 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(17(a,1),93(a,1,1,2))]. 646 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(116(a,1),93(a,1,1,2))]. 647 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(93(a,1),304(a,1,2)),flip(b)]. 648 (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. [para(93(a,1),535(a,1,2))]. 649 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(124,a,35,a,b,104,a)]. 650 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(116(a,1),104(a,1,2,2)),flip(a)]. 651 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(124,a,35,a,b,106,a)]. 652 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),163(a,1)),flip(b)]. 653 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(106(a,1),240(a,1,2)),flip(b)]. 654 L(x,y / x,z / y) = ((z / y) * (y / x)) \ z. [para(17(a,1),107(a,2,2))]. 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),269(a,1,1))]. 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(110(a,2),289(a,1,1))]. 657 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(355(a,1),202(a,1,2))]. 658 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(138,a,657,a)]. 659 x \ y != z * a(z,u,u \ 1) | x * R(z,u,u \ 1) = y. [para(657(a,1),302(a,2,2))]. 661 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(247(a,1),206(a,1,2))]. 662 L(T(x,y),y,x) = T(x,x * y). [hyper(308,a,216,a),flip(a)]. 663 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(112(a,1),216(a,1,2))]. 664 T(L(x,y,x),y) = T(x,x * y). [hyper(66,a,30,a(flip),b,662,a)]. 665 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(662(a,1),30(a,2,1))]. 666 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(662(a,1),34(a,1,1)),flip(a)]. 667 x * T(y,y * x) = L(y,x,y) * x. [para(662(a,1),222(a,1,2))]. 668 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(662(a,2),223(a,1,2,1))]. 669 (x * T(y,y * x)) / x = L(y,x,y). [hyper(254,a,664,a)]. 670 T((x * y) / x,y * x) = L(y,x,y). [hyper(43,a,253,a,b,664,a)]. 671 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(664(a,1),222(a,1,2,1))]. 672 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(15(a,1),667(a,1,2,2)),flip(a)]. 674 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(116(a,1),667(a,1,2,2)),flip(a)]. 676 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(15(a,1),670(a,1,2))]. 677 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(670(a,1),28(a,1,1)),flip(a)]. 678 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(274(a,1),417(a,1,1,1)),flip(a)]. 679 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(66,a,223,a,b,335,a)]. 680 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(122,a,335,a(flip),b,223,a)]. 681 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(14(a,1),335(a,1,1,3))]. 682 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(34(a,1),335(a,1,1))]. 683 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(285,a,27,a,b,358,a),flip(a)]. 684 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(124,a,362,a,b,23,a(flip))]. 685 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(241,a,365,a),flip(a)]. 686 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(630,a,370,a),flip(a)]. 687 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(117(a,1),376(a,1,2))]. 688 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(27(a,1),383(a,1,2,1))]. 689 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(392(a,1),304(a,1,2)),flip(b)]. 690 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(412(a,1),46(a,1))]. 691 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(412(a,1),304(a,1,2)),flip(b)]. 692 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(116(a,2),431(a,1,2))]. 693 L(x \ y,x,y / x) = T(y / x,y). [hyper(224,a,152,a(flip),b,439,a),flip(a)]. 695 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(453(a,1),30(a,2,1))]. 696 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(453(a,1),34(a,1,1)),flip(a)]. 697 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(455(a,1),30(a,2,1)),flip(a)]. 698 K(x,y) = L(x \ T(x,y),x,y). [hyper(285,a,21,a,b,458,a)]. 699 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(458(a,1),30(a,2,1))]. 700 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(462(a,1),297(a,1,2)),flip(b)]. 701 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(467(a,1),47(a,1))]. 702 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(489(a,1),32(a,2,1))]. 703 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(489(a,1),36(a,1,1)),flip(a)]. 704 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(205(a,2),489(a,1,1,2))]. 705 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(205(a,2),489(a,1,2))]. 706 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(489(a,1),233(a,1,1)),flip(a)]. 707 x / L(y,z / y,x / z) = (x / z) * (z / y). [hyper(66,a,153,a(flip),b,499,a)]. 708 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(499(a,1),118(a,1,1))]. 709 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(501(a,1),307(a,1,1)),flip(b)]. 713 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(14(a,1),603(a,2,1)),flip(a)]. 714 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(15(a,1),603(a,1,1,2))]. 715 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(603(a,1),231(a,1,1))]. 716 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(605(a,1),335(a,1,1)),flip(a)]. 717 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(66,a,355,a,b,606,a)]. 718 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(14(a,1),606(a,1,1)),flip(a)]. 719 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(17(a,1),607(a,1,1,2)),flip(a)]. 721 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(607(a,1),310(a,1,1))]. 722 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(124,a,665,a(flip),b,23,a(flip))]. 723 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(15(a,1),685(a,1,1,2))]. 724 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [hyper(124,a,713,a,b,27,a(flip)),flip(a)]. 725 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(166(a,1),713(a,2,1)),flip(a)]. 726 T(R(x,y,x),y * x) = T(x,y). [para(713(a,2),253(a,1,1))]. 727 R(T(x,y * x),y,x) = T(x,y). [hyper(66,a,32,a,b,726,a)]. 728 T(x,y * z) != T(z,y) | R(z,y,z) = x. [para(726(a,1),52(a,1)),flip(a)]. 729 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(726(a,1),223(a,1,2,1)),flip(a)]. 730 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(43,a,713,a(flip),b,727,a(flip))]. 731 R(T(x,y),y / x,x) = T(x,y / x). [para(17(a,1),727(a,1,1,2))]. 733 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(727(a,1),112(a,1,1)),flip(a)]. 734 R(x,1 / x,x) = T(x,1 / x). [para(186(a,1),731(a,1,1))]. 735 T(x,1 / x) / x = x * (1 / x). [hyper(123,a,734,a(flip),b,247,a)]. 736 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(734(a,1),36(a,1,1)),flip(a)]. 737 T(x,1 / x) / x = K(x,1 / x). [hyper(285,a,245,a,b,735,a),flip(a)]. 738 T(x * T(y,x * y),y) = x * y. [hyper(250,a,730,a)]. 739 (x * T(y,x * y)) * y = y * (x * y). [hyper(136,a,730,a),flip(a)]. 740 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(285,a,17,a(flip),b,738,a),flip(a)]. 741 (x * (y * x)) / x = y * T(x,y * x). [hyper(254,a,738,a)]. 743 T((x / y) * T(y,x),y) = x. [para(17(a,1),740(a,1,1,2,2))]. 744 (x / y) * T(y,x) = (y * x) / y. [hyper(254,a,743,a),flip(a)]. 745 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(315,a,744,a),flip(a)]. 746 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(224,a,744,a,b,15,a),flip(a)]. 747 ((x * y) / x) / T(x,y) = y / x. [hyper(135,a,744,a)]. 748 T(x,y) = (y / x) \ ((x * y) / x). [hyper(128,a,744,a),flip(a)]. 750 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),744(a,1,1)),flip(a)]. 751 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(389(a,1),744(a,1,1)),flip(a)]. 752 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(285,a,16,a(flip),b,747,a),flip(a)]. 753 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(39,a,173,a(flip),b,747,a)]. 754 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(752(a,1),299(a,1,1))]. 755 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(752(a,1),379(a,1,1))]. 756 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(254,a,718,a)]. 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(285,a,32,a,b,119,a)]. 760 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(36(a,1),262(a,1,1))]. 761 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(116(a,1),262(a,1,2))]. 762 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(30(a,1),265(a,1,2))]. 763 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(34(a,2),265(a,1,2))]. 764 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(243(a,2),265(a,1,1))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(96(a,1),445(a,1,1)),flip(a)]. 767 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(116(a,1),447(a,1,1))]. 768 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(84(a,1),447(a,1,2))]. 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. 770 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(93(a,1),447(a,1,2,2))]. 771 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(116(a,1),449(a,1,2))]. 774 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(223(a,1),479(a,1,2))]. 776 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(243(a,2),556(a,1,2))]. 778 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(357(a,1),587(a,2,2))]. 779 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(135,a,588,a),flip(a)]. 780 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(123,a,103,a(flip),b,588,a),flip(a)]. 781 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(593(a,1),355(a,1,1))]. 782 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(274(a,1),593(a,1,1,1)),flip(a)]. 783 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(135,a,594,a),flip(a)]. 784 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(128,a,594,a)]. 785 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(123,a,594,a(flip),b,335,a(flip))]. 786 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(123,a,594,a(flip),b,112,a(flip))]. 787 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(599(a,1),236(a,1,1)),flip(b)]. 788 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(203(a,1),599(a,1,1,2))]. 789 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),599(a,1,1,2)),flip(a)]. 790 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(357(a,1),599(a,1,1,2))]. 791 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(452(a,1),599(a,1,1,2))]. 792 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(698(a,2),599(a,1,1,2)),flip(a)]. 794 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(23(a,2),600(a,1,1,2,1))]. 795 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(90(a,1),600(a,1,1,2,1))]. 796 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(600(a,1),236(a,1,1)),flip(b)]. 797 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(254,a,638,a)]. 798 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [hyper(124,a,638,a(flip),b,27,a(flip)),flip(a)]. 800 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(638(a,1),263(a,1,2))]. 801 T(x,y * ((x \ y) \ 1)) = x. [hyper(57,a,641,a)]. 802 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(271(a,2),717(a,1,1))]. 805 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(118(a,1),757(a,1,1,1)),flip(a)]. 806 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(124,a,779,a(flip),b,23,a(flip))]. 807 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(361(a,1),779(a,2,1,2))]. 808 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(451(a,1),779(a,2,1,2))]. 809 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(452(a,1),779(a,2,1,2))]. 810 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(453(a,1),779(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(486(a,1),783(a,2,1,2))]. 813 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(487(a,1),783(a,2,1,2))]. 814 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),783(a,2,1,2))]. 815 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(783(a,1),262(a,1,1))]. 816 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(124,a,35,a,b,215,a)]. 817 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(66,a,425,a(flip),b,219,a)]. 818 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(246(a,1),465(a,1,1))]. 819 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(124,a,363,a,b,215,a)]. 820 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(124,a,363,a,b,23,a(flip))]. 821 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(602(a,1),363(a,2,1))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(285,a,105,a(flip),b,364,a),flip(a)]. 823 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(124,a,364,a(flip),b,23,a(flip))]. 824 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(356(a,1),364(a,1,1)),flip(a)]. 826 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(652,a,824,a)]. 827 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(15(a,1),824(a,1,1,1))]. 828 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(230(a,1),385(a,1,2,1))]. 829 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),413(a,1,2,1))]. 830 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),413(a,1,2,1))]. 831 (x * y) * T(T((x * y) \ x,z),u) = x * (y * T(T(y \ 1,z),u)). [para(362(a,2),413(a,1,2,1))]. 833 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(457(a,1),30(a,2,1))]. 834 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),34(a,1,1)),flip(a)]. 835 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(457(a,1),35(a,1,1)),flip(a)]. 836 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(113(a,1),471(a,1,1,1))]. 837 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(630,a,490,a),flip(a)]. 838 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(452(a,1),504(a,1,2,1)),flip(a)]. 839 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),265(a,1,2))]. 841 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(124,a,547,a,b,106,a),flip(a)]. 842 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(548(a,2),335(a,1,1))]. 845 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(122,a,564,a(flip),b,244,a)]. 846 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(362(a,1),564(a,1,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(179(a,1),570(a,1,1,1))]. 848 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(123,a,572,a(flip),b,247,a),flip(a)]. 849 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(123,a,573,a(flip),b,355,a)]. 850 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(203(a,1),582(a,2,1)),flip(a)]. 851 T(x,y) = (y * x) \ ((x * y) * x). [hyper(285,a,727,a(flip),b,589,a)]. 852 (x * y) * T(y,x) = (y * x) * y. [hyper(124,a,727,a(flip),b,589,a)]. 853 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(116(a,1),589(a,1,2,1)),flip(a)]. 854 R(T(x,y * L(z,y,x)),y,L(z,y,x)) = (y * L(z,y,x)) \ (x * (y * z)). [para(103(a,1),589(a,1,2)),flip(a)]. 855 ((x \ 1) * x) \ x = T(x,x \ 1). [para(81(a,1),851(a,2,2)),flip(a)]. 857 (x * (y / x)) * x = y * T(x,y / x). [hyper(293,a,852,a),flip(a)]. 858 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(122,a,852,a(flip),b,96,a)]. 859 K(x \ 1,x) \ x = T(x,x \ 1). [para(243(a,2),855(a,1,1))]. 860 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(124,a,117,a(flip),b,859,a)]. 861 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(335(a,1),592(a,1))]. 862 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(598(a,1),418(a,1,1))]. 863 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(87(a,1),629(a,1,1,1))]. 865 ((1 / x) * (x / y)) * y = a(1 / x,x / y,y). [hyper(193,a,645,a),flip(a)]. 867 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(285,a,30,a,b,677,a),flip(a)]. 868 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(122,a,150,a(flip),b,679,a),flip(a)]. 869 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(681(a,1),47(a,1))]. 870 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(214(a,1),789(a,2,1,2))]. 871 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(862(a,1),47(a,1))]. 873 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(116(a,1),647(a,1,1,2))]. 875 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(14(a,1),797(a,1,1,2,1,2))]. 876 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(797(a,1),236(a,1,1)),flip(b)]. 877 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(66,a,464,a,b,798,a)]. 878 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(87(a,1),798(a,1,1,1,2)),flip(a)]. 879 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(113(a,2),798(a,1,1,1,2))]. 880 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(113(a,1),805(a,1,1,1))]. 881 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(688,a,838,a),flip(a)]. 882 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(263,a,838,a),flip(a)]. 883 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(13(a,1),838(a,2,2,1))]. 884 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(15(a,1),838(a,2,2,1))]. 885 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(838(a,1),263(a,1))]. 886 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(66,a,419,a(flip),b,883,a)]. 888 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(886(a,1),310(a,1,2))]. 889 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(886(a,1),215(a,1,2,2))]. 890 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(533,a,845,a)]. 891 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(13(a,1),845(a,1,2,1))]. 892 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(15(a,1),845(a,1,2,1)),flip(a)]. 894 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(891(a,1),698(a,2,1)),flip(a)]. 895 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(90(a,1),894(a,1,1,2,1))]. 896 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(639,a,848,a),flip(a)]. 897 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(629,a,848,a)]. 898 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(12(a,1),848(a,2,1,1))]. 899 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(118(a,1),848(a,1,1)),flip(a)]. 900 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(848(a,1),629(a,1))]. 901 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(629,a,898,a)]. 902 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(898(a,1),629(a,1))]. 903 (1 / x) * T(x,y) = T(x,y) / x. [para(90(a,1),901(a,1,2,1))]. 904 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(901(a,1),894(a,1,1))]. 905 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(315,a,903,a),flip(a)]. 906 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(224,a,903,a,b,15,a),flip(a)]. 907 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(135,a,903,a)]. 908 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(66,a,280,a(flip),b,903,a),flip(a)]. 909 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(903(a,1),21(a,2,1)),flip(a)]. 910 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(903(a,1),315(a,1))]. 911 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(903(a,1),670(a,1,2))]. 912 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(621,a,906,a)]. 913 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(117(a,1),908(a,1,1)),flip(a)]. 914 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(285,a,417,a(flip),b,849,a),flip(a)]. 915 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(15(a,1),882(a,1,2,1)),flip(a)]. 917 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(123,a,884,a(flip),b,417,a)]. 918 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(123,a,884,a(flip),b,116,a(flip))]. 919 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(263,a,892,a)]. 920 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(892(a,1),398(a,1,2))]. 921 (1 / x) \ T((y \ (1 / x)) * y,x) = (x \ K(y \ (1 / x),y)) * x. [para(97(a,1),919(a,1,1,2)),flip(a)]. 923 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(17(a,1),899(a,1,1,1)),flip(a)]. 924 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(285,a,838,a(flip),b,914,a),flip(a)]. 925 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(136,a,914,a)]. 926 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(17(a,1),914(a,1,1,1)),flip(a)]. 927 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(32(a,2),918(a,1,1,2))]. 929 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(923(a,1),98(a,1,1)),flip(a)]. 930 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(14(a,1),925(a,1,1,2,1)),flip(a)]. 931 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(263,a,926,a)]. 932 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(115(a,1),930(a,2,1,2))]. 933 K((x * y) * (x \ 1),y) = 1. [hyper(58,a,932,a)]. 934 K(((1 / x) * y) * x,y) = 1. [para(90(a,1),933(a,1,1,2))]. 935 K(x * y,(1 / y) \ x) = 1. [para(15(a,1),934(a,1,1,1))]. 936 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(903(a,1),331(a,1,2,2))]. 937 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),410(a,1,2,1))]. 938 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),410(a,1,2,1))]. 939 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(662(a,1),410(a,1,2,1))]. 940 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),411(a,1,2,1))]. 941 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),411(a,1,2,1))]. 942 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,448,a),flip(a)]. 943 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(122,a,472,a(flip),b,582,a)]. 944 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(487(a,1),472(a,1,1,1)),flip(a)]. 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(113(a,1),473(a,1,1,1))]. 946 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(886(a,1),497(a,1,1,1))]. 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(452(a,1),503(a,1,2,1)),flip(a)]. 949 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(356(a,1),506(a,1,2,1))]. 950 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(451(a,1),506(a,1,2,1))]. 951 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(734(a,1),508(a,1,1,1))]. 952 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(30(a,1),951(a,1,1))]. 953 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(38,a,923,a,b,952,a(flip))]. 954 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(185,a,953,a)]. 955 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(138,a,953,a)]. 957 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(40,a,173,a,b,954,a),flip(a)]. 958 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(955(a,1),105(a,2,1))]. 959 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(955(a,1),670(a,1,2))]. 961 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(203(a,1),957(a,2,2))]. 962 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(180,a,961,a)]. 963 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(136,a,961,a)]. 964 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(15(a,1),962(a,1,1,2,1))]. 966 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(963(a,1),21(a,2,1)),flip(a)]. 968 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),542(a,1,1,1))]. 969 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(652,a,565,a)]. 970 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(821(a,1),565(a,1,1))]. 971 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [hyper(66,a,650,a(flip),b,695,a)]. 972 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(124,a,695,a(flip),b,104,a),flip(a)]. 973 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(695(a,1),30(a,2,1))]. 974 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(702(a,1),467(a,1,1)),flip(a)]. 975 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [hyper(66,a,32,a,b,715,a)]. 976 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(785(a,1),118(a,1,1)),flip(a)]. 977 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(368(a,1),785(a,1,1,2))]. 978 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(904(a,1),587(a,1,1)),flip(a)]. 979 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(942(a,1),46(a,1)),flip(a)]. 980 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(12(a,1),975(a,2,1,2))]. 981 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(14(a,1),975(a,1,1,1)),flip(a)]. 985 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(666(a,1),586(a,1,2))]. 986 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(37,a,223,a,b,595,a)]. 988 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(122,a,986,a,b,15,a)]. 989 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(122,a,986,a(flip),b,336,a),flip(a)]. 991 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(383,a,722,a),flip(a)]. 992 T(x,y) * (x * z) = x * (T(x,y) * z). [para(221(a,1),991(a,1,2)),flip(a)]. 993 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(552,a,992,a)]. 994 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(551,a,992,a),flip(a)]. 995 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(526,a,992,a)]. 996 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(303,a,992,a),flip(a)]. 997 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(285,a,152,a(flip),b,992,a),flip(a)]. 998 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(128,a,992,a)]. 999 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(122,a,152,a(flip),b,992,a)]. 1000 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(122,a,82,a(flip),b,992,a),flip(a)]. 1001 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(17(a,1),992(a,1,2)),flip(a)]. 1003 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(992(a,2),46(a,1))]. 1004 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(116(a,1),992(a,1,2)),flip(a)]. 1005 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),992(a,1,1)),flip(a)]. 1007 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(135,a,1000,a)]. 1008 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(128,a,1000,a)]. 1009 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(123,a,1000,a(flip),b,116,a)]. 1012 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1007(a,1),917(a,2,1))]. 1013 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(285,a,281,a(flip),b,993,a),flip(a)]. 1014 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),993(a,1,2))]. 1015 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(995(a,1),130(a,1,1)),flip(a)]. 1016 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(995(a,1),307(a,1,1)),flip(b)]. 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(224,a,116,a,b,997,a),flip(a)]. 1019 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(224,a,997,a,b,15,a)]. 1020 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(122,a,245,a,b,997,a)]. 1021 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(37,a,412,a,b,997,a),flip(a)]. 1022 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(37,a,272,a,b,997,a),flip(a)]. 1024 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(997(a,1),304(a,1,2)),flip(b)]. 1025 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(118(a,1),1018(a,1,2,1))]. 1026 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(224,a,733,a,b,1004,a)]. 1027 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(37,a,412,a,b,1004,a),flip(a)]. 1029 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(136,a,1012,a)]. 1030 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(118(a,1),1025(a,2,2))]. 1031 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(14(a,1),1030(a,1,2,1))]. 1032 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(118(a,1),1029(a,1,1)),flip(a)]. 1033 T(x,y) = ((x * y) / x) * (y \ x). [para(14(a,1),1031(a,2,2)),flip(a)]. 1034 T(x,y) / (y \ x) = (x * y) / x. [hyper(123,a,1033,a,b,xx)]. 1035 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(122,a,1033,a,b,116,a),flip(a)]. 1036 ((x * y) / x) \ T(x,y) = y \ x. [hyper(122,a,1033,a,b,xx)]. 1037 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(17(a,1),1033(a,2,1,1)),flip(a)]. 1038 ((x * (x / y)) / x) * y = T(x,x / y). [para(90(a,1),1033(a,2,2)),flip(a)]. 1039 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(367(a,1),1033(a,2,2)),flip(a)]. 1040 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(394(a,1),1033(a,2,2)),flip(a)]. 1041 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(14(a,1),1034(a,1,2)),flip(a)]. 1043 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(66,a,798,a(flip),b,1038,a)]. 1044 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(122,a,1038,a(flip),b,798,a(flip))]. 1045 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(90(a,1),1043(a,1,2,1,2))]. 1046 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(789(a,2),1043(a,1,2))]. 1048 T(x \ T(y,y / x),y) = x \ y. [para(1044(a,2),208(a,1,1))]. 1049 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1044(a,1),381(a,1,2))]. 1050 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(87(a,1),1048(a,1,1,2,2))]. 1051 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(285,a,117,a,b,1050,a),flip(a)]. 1052 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1035(a,1),867(a,1,1))]. 1053 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(123,a,208,a(flip),b,1037,a),flip(a)]. 1054 T(T(x * y,x) / y,x * y) = x. [para(1041(a,1),208(a,1,1))]. 1055 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1041(a,1),817(a,1,1))]. 1056 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(355(a,1),1054(a,1,1,1,1))]. 1057 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(630,a,1055,a)]. 1059 L(R(x,y,T(x,y)),y,x) = x. [para(1057(a,1),450(a,1,1))]. 1060 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(209(a,1),1045(a,1,2)),flip(a)]. 1062 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(245(a,2),1024(a,1,2))]. 1063 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(220(a,1),1024(a,1))]. 1064 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),1001(a,1,2))]. 1065 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(117(a,1),1013(a,1,2,1))]. 1067 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1014(a,1),1016(a,1))]. 1068 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(906(a,1),1022(a,1,2))]. 1071 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(122,a,1046,a(flip),b,103,a(flip))]. 1072 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(105(a,1),762(a,1,2,1))]. 1073 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(128,a,841,a)]. 1076 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(325(a,1),841(a,1,2))]. 1077 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(629,a,842,a),flip(a)]. 1078 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(909(a,1),105(a,1,1)),flip(a)]. 1079 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(32(a,2),943(a,2,2))]. 1080 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(13(a,1),947(a,2,2,1))]. 1081 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(268(a,1),947(a,1,2)),flip(a)]. 1082 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(138,a,950,a)]. 1084 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(285,a,587,a(flip),b,968,a),flip(a)]. 1085 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(13(a,1),969(a,2,1))]. 1086 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(128,a,1085,a)]. 1087 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(122,a,369,a(flip),b,1085,a),flip(a)]. 1088 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(37,a,658,a,b,1085,a),flip(a)]. 1089 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1085(a,1),304(a,1,2)),flip(b)]. 1090 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(607(a,2),1085(a,1,2))]. 1091 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(285,a,205,a(flip),b,1090,a),flip(a)]. 1092 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(123,a,368,a(flip),b,1090,a)]. 1093 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(224,a,1091,a,b,15,a),flip(a)]. 1095 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(285,a,798,a(flip),b,977,a),flip(a)]. 1096 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),1005(a,1,2,1))]. 1097 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(208(a,1),1005(a,1,2,1)),flip(a)]. 1098 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(230(a,1),1005(a,1,2,1)),flip(a)]. 1099 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(380,a,1096,a),flip(a)]. 1100 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(285,a,89,a(flip),b,1096,a),flip(a)]. 1101 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(122,a,82,a(flip),b,1096,a),flip(a)]. 1102 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(771,a,1100,a)]. 1103 (1 / x) * K(x \ 1,x) = x \ 1. [para(243(a,2),1100(a,1,2))]. 1104 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(128,a,1103,a)]. 1105 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1103(a,1),475(a,2,2))]. 1106 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1104(a,1),561(a,1,2,1))]. 1107 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1102(a,1),506(a,1,2,1))]. 1108 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(66,a,913,a(flip),b,1099,a)]. 1109 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1101(a,1),46(a,1))]. 1110 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(692,a,1073,a)]. 1111 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(122,a,398,a(flip),b,1073,a(flip))]. 1113 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(285,a,901,a(flip),b,1110,a),flip(a)]. 1114 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(285,a,883,a(flip),b,1110,a),flip(a)]. 1115 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(123,a,1110,a,b,417,a)]. 1116 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(906(a,1),1110(a,1,1))]. 1119 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1034(a,1),1111(a,1,2,1,2))]. 1120 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(136,a,1113,a(flip)),flip(a)]. 1121 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(601(a,1),1113(a,2,1))]. 1122 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(118(a,1),1114(a,2,2))]. 1123 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(208(a,1),1114(a,2,2))]. 1124 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(16(a,1),1115(a,1,1,1,2))]. 1126 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1077(a,1,1))]. 1127 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(122,a,1079,a,b,xx)]. 1128 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(90(a,1),1084(a,1,1,1,2))]. 1129 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(15(a,1),1092(a,1,2,1,2))]. 1130 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(180,a,1129,a)]. 1131 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(285,a,222,a(flip),b,1107,a),flip(a)]. 1132 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(124,a,222,a(flip),b,1107,a)]. 1133 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(357(a,1),1131(a,1,2)),flip(a)]. 1134 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(285,a,203,a(flip),b,1132,a)]. 1135 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(203(a,1),1134(a,2,2,1)),flip(a)]. 1136 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(128,a,1135,a)]. 1137 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1123(a,2),117(a,1,2))]. 1138 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1123(a,2),632(a,1,2))]. 1139 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1126(a,1),294(a,1,1)),flip(b)]. 1140 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(325(a,1),1126(a,1,1))]. 1141 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(883(a,1),1126(a,1,1))]. 1143 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(587(a,1),544(a,1,1))]. 1144 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(453(a,1),649(a,1,2,1)),flip(a)]. 1145 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(454(a,1),651(a,1,2,1)),flip(a)]. 1146 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(66,a,411,a(flip),b,668,a)]. 1147 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(223(a,1),1146(a,1,2)),flip(a)]. 1148 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(552,a,1147,a)]. 1149 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(526,a,1147,a)]. 1150 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(380,a,1147,a),flip(a)]. 1152 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1147,a)]. 1153 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1147,a),flip(a)]. 1154 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(116(a,1),1147(a,1,2)),flip(a)]. 1155 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1147(a,1),216(a,1,2))]. 1156 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(135,a,1150,a)]. 1157 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(128,a,1150,a)]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(66,a,595,a,b,1150,a)]. 1159 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(123,a,1150,a(flip),b,223,a)]. 1160 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1150(a,1),607(a,1,1,2)),flip(a)]. 1161 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),638(a,2,1))]. 1162 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [hyper(124,a,1153,a(flip),b,403,a),flip(a)]. 1163 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1153(a,1),881(a,1,2,1,2))]. 1165 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1157(a,1),1122(a,2,2))]. 1166 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(112(a,1),1148(a,1,2)),flip(a)]. 1167 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(135,a,1166,a),flip(a)]. 1168 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(224,a,112,a(flip),b,1154,a),flip(a)]. 1169 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(128,a,1168,a)]. 1170 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(368(a,1),682(a,1,1,1))]. 1171 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(124,a,696,a(flip),b,104,a),flip(a)]. 1172 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(122,a,696,a(flip),b,242,a),flip(a)]. 1173 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(703(a,1),467(a,1,1)),flip(a)]. 1174 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(66,a,473,a(flip),b,729,a),flip(a)]. 1176 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(780(a,2),49(a,1))]. 1177 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(203(a,1),806(a,1,2,1,2))]. 1178 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),806(a,1,2,1,2))]. 1179 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),806(a,1,2,1,2))]. 1180 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(124,a,807,a(flip),b,106,a),flip(a)]. 1181 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(122,a,808,a(flip),b,244,a)]. 1182 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(122,a,809,a(flip),b,242,a),flip(a)]. 1183 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(123,a,812,a(flip),b,247,a),flip(a)]. 1184 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(124,a,833,a(flip),b,215,a)]. 1185 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(993(a,1),870(a,1,1,1))]. 1186 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1038(a,1),876(a,1))]. 1187 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(17(a,1),885(a,1,2,1))]. 1188 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [hyper(122,a,895,a(flip),b,1082,a),flip(a)]. 1191 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(112(a,1),442(a,1,2))]. 1192 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(122,a,477,a(flip),b,112,a)]. 1193 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(620(a,1),412(a,2,2))]. 1194 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),763(a,1,2,1))]. 1196 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),820(a,1,1))]. 1198 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(639,a,836,a),flip(a)]. 1199 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(629,a,836,a)]. 1200 (x * T(y,z)) * y = (x * y) * T(y,z). [para(418(a,1),1198(a,1,1))]. 1201 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(550,a,1200,a)]. 1202 (1 / T(x,y)) * x = x / T(x,y). [hyper(525,a,1200,a),flip(a)]. 1203 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(293,a,1200,a),flip(a)]. 1204 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(285,a,150,a(flip),b,1200,a),flip(a)]. 1205 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(128,a,1200,a)]. 1206 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(123,a,150,a(flip),b,1200,a)]. 1207 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(549,a,1200,a(flip)),flip(a)]. 1209 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(116(a,1),1200(a,2,1))]. 1210 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(118(a,1),1200(a,1,1,2)),flip(a)]. 1211 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(128,a,1202,a)]. 1213 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1211(a,1),923(a,1,1)),flip(a)]. 1214 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1201(a,2),225(a,2)),flip(a)]. 1216 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1060(a,2),1203(a,1,1))]. 1218 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1205(a,1),981(a,1,1)),flip(a)]. 1220 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(667(a,1),1218(a,1,1,2))]. 1221 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1216(a,1),1004(a,1,2)),flip(a)]. 1222 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(135,a,1221,a),flip(a)]. 1223 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(66,a,1060,a(flip),b,1222,a),flip(a)]. 1224 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(221(a,1),1209(a,1,1))]. 1225 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(224,a,1224,a,b,116,a(flip))]. 1226 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(123,a,81,a(flip),b,1224,a)]. 1229 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(118(a,1),1210(a,1,2))]. 1230 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(208(a,1),1210(a,1,2)),flip(a)]. 1231 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(550,a,1229,a)]. 1232 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(525,a,1229,a),flip(a)]. 1233 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(123,a,150,a(flip),b,1229,a)]. 1234 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(224,a,1232,a,b,15,a),flip(a)]. 1235 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1232(a,1),225(a,2)),flip(a)]. 1236 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(285,a,886,a(flip),b,1226,a),flip(a)]. 1237 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1234(a,1),1113(a,1,1))]. 1238 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(384,a,939,a),flip(a)]. 1239 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(222(a,1),1238(a,1,2)),flip(a)]. 1240 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(552,a,1239,a)]. 1241 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(551,a,1239,a),flip(a)]. 1242 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(380,a,1239,a),flip(a)]. 1243 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(303,a,1239,a),flip(a)]. 1244 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(128,a,1239,a)]. 1245 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1239,a)]. 1246 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1239,a),flip(a)]. 1247 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(122,a,1239,a(flip),b,96,a)]. 1248 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1239(a,1),216(a,1,2))]. 1249 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(128,a,1242,a)]. 1250 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1242(a,1),607(a,1,1,2)),flip(a)]. 1251 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(827(a,1),1242(a,1,1)),flip(a)]. 1252 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1246(a,1),21(a,2,1)),flip(a)]. 1253 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1246(a,1),881(a,1,2,1,2))]. 1254 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1249(a,1,1))]. 1255 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(128,a,1241,a)]. 1259 (x * (y * z)) \ ((x * y) * ((((x * y) \ (x * (y * z))) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(19(a,2),971(a,2,1))]. 1260 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(128,a,972,a)]. 1261 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(13(a,1),972(a,2,2,1,2))]. 1262 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(128,a,1261,a),flip(a)]. 1263 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(122,a,116,a(flip),b,1261,a),flip(a)]. 1264 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(325(a,1),1261(a,1,2)),flip(a)]. 1265 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1110(a,2),1261(a,1,2)),flip(a)]. 1266 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(285,a,396,a,b,1263,a)]. 1267 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(122,a,396,a,b,1263,a),flip(a)]. 1268 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(122,a,1265,a,b,xx),flip(a)]. 1269 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(66,a,897,a(flip),b,1265,a)]. 1270 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(14(a,1),1265(a,1,2,1)),flip(a)]. 1271 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(21(a,2),1265(a,2,2,1,2,2))]. 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(23(a,2),1265(a,2,2,1,2,2))]. 1276 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(203(a,2),1267(a,1,1,1))]. 1277 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1267(a,2),689(a,1))]. 1278 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(16(a,1),1268(a,1,1,2))]. 1279 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(27(a,2),1268(a,1,1,2,2))]. 1280 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(90(a,1),1268(a,2,2,2,1))]. 1281 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [hyper(124,a,1276,a,b,358,a),flip(a)]. 1282 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1276(a,1),905(a,1,1))]. 1283 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(17(a,1),1269(a,1,1,1)),flip(a)]. 1284 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(406(a,1),1270(a,1,2,1,2))]. 1285 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(744(a,1),1280(a,2,2))]. 1286 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(12(a,1),974(a,2,1,1,1))]. 1287 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(417(a,1),974(a,1,1))]. 1288 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(285,a,417,a(flip),b,1286,a),flip(a)]. 1289 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1288(a,1,1))]. 1290 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(325(a,1),1289(a,1,1))]. 1291 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1110(a,2),1289(a,1,1))]. 1292 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(135,a,1291,a),flip(a)]. 1293 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(16(a,1),1292(a,1,1,2))]. 1294 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(25(a,2),1292(a,1,1,2,2))]. 1295 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1050(a,1),1292(a,2,1,2))]. 1296 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(285,a,414,a(flip),b,1290,a),flip(a)]. 1297 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(118(a,1),1032(a,1,2)),flip(a)]. 1298 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(87(a,1),1297(a,1,2,1,1)),flip(a)]. 1299 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(14(a,1),1097(a,1,1)),flip(a)]. 1300 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(552,a,1299,a)]. 1301 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(380,a,1299,a),flip(a)]. 1302 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(122,a,152,a(flip),b,1299,a)]. 1303 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(135,a,1301,a)]. 1304 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(66,a,878,a,b,1301,a)]. 1306 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(691,a,1300,a),flip(a)]. 1308 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(66,a,182,a(flip),b,1098,a),flip(a)]. 1310 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(380,a,1308,a),flip(a)]. 1312 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(285,a,89,a(flip),b,1308,a),flip(a)]. 1313 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(122,a,152,a(flip),b,1308,a)]. 1314 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1308(a,1),21(a,2,1)),flip(a)]. 1315 (1 / (1 / x)) * K(x,1 / x) = x. [para(245(a,2),1312(a,1,2))]. 1316 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(66,a,1232,a(flip),b,1310,a)]. 1317 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(787,a,1170,a),flip(a)]. 1318 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(78(a,1),1172(a,2,2,1))]. 1319 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(27(a,2),1318(a,1,2,1)),flip(a)]. 1320 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(123,a,1182,a(flip),b,798,a)]. 1321 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(66,a,1038,a(flip),b,1183,a),flip(a)]. 1322 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(12(a,1),1183(a,2,1,1,2))]. 1323 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(15(a,1),1321(a,1,1,1,2)),flip(a)]. 1324 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1321(a,1),487(a,1,1))]. 1325 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(285,a,1223,a(flip),b,1324,a),flip(a)]. 1326 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(876,a,1322,a)]. 1327 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(90(a,1),1326(a,1,2,1,2))]. 1328 x \ y != ((z * (u \ 1)) / z) / (u \ 1) | x * (u * ((z * (u \ 1)) / z)) = y. [para(1327(a,1),578(a,2))]. 1329 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1199(a,2,1))]. 1330 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(14(a,1),1230(a,1,1,2)),flip(a)]. 1331 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(550,a,1330,a)]. 1332 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(123,a,150,a(flip),b,1330,a)]. 1333 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1045(a,1),1330(a,1,1)),flip(a)]. 1334 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(931(a,1),1332(a,1,1,2,1)),flip(a)]. 1335 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(293,a,1333,a),flip(a)]. 1336 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1015,a,1335,a)]. 1338 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(135,a,1336,a)]. 1340 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(66,a,1323,a,b,1338,a)]. 1341 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(14(a,1),1340(a,1,2,2,2)),flip(a)]. 1342 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(210(a,1),1260(a,1,2,2,1)),flip(a)]. 1343 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(680(a,1),1260(a,1,2,2,1)),flip(a)]. 1344 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(124,a,1110,a(flip),b,1279,a(flip))]. 1345 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [hyper(122,a,1283,a(flip),b,1265,a),flip(a)]. 1346 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1211(a,1),1345(a,1,1)),flip(a)]. 1347 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(185,a,1346,a)]. 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1347(a,1),118(a,1,1)),flip(a)]. 1350 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),1115(a,1,1,1))]. 1351 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(285,a,417,a(flip),b,1287,a),flip(a)]. 1352 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(123,a,417,a(flip),b,1287,a)]. 1353 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(587(a,1),1317(a,1,1))]. 1354 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(66,a,830,a(flip),b,1329,a)]. 1355 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(66,a,684,a(flip),b,1329,a),flip(a)]. 1356 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(224,a,1329,a(flip),b,830,a(flip)),flip(a)]. 1357 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(12(a,1),1329(a,1,2,1,2))]. 1359 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(27(a,2),1356(a,1,2,1,2)),flip(a)]. 1360 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(122,a,1359,a,b,xx)]. 1361 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(326(a,1),1359(a,1,1,2,1)),flip(a)]. 1362 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(14(a,1),1360(a,1,2,1,2,1)),flip(a)]. 1363 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1360(a,1),240(a,1,2)),flip(b)]. 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(66,a,830,a(flip),b,1357,a)]. 1365 T(x,x * T(x \ 1,y)) = x. [hyper(224,a,684,a(flip),b,1357,a(flip))]. 1366 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1357(a,1),1279(a,2,2))]. 1367 T(x,(x \ 1) * x) = x. [para(116(a,1),1365(a,1,2))]. 1369 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),731(a,1,1))]. 1370 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1365(a,1,2))]. 1371 T(x \ 1,x \ T(x,y)) = x \ 1. [para(883(a,1),1365(a,1,2))]. 1372 T(1 / x,T(x,y) / x) = 1 / x. [para(901(a,1),1365(a,1,2))]. 1373 R(x,x \ 1,x) = T(x,x \ 1). [para(1367(a,1),727(a,1,1))]. 1375 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1373(a,1),32(a,2,1))]. 1376 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(57,a,1371,a)]. 1377 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1372(a,1),425(a,1,1,2)),flip(a)]. 1378 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1370(a,1),727(a,1,1))]. 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1376(a,1),699(a,1,1)),flip(a)]. 1380 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(285,a,698,a,b,1379,a)]. 1382 T(K(x,y),x \ 1) = K(x,y). [para(21(a,2),1380(a,2,1)),flip(a)]. 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(57,a,1382,a)]. 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [hyper(124,a,1382,a(flip),b,27,a(flip)),flip(a)]. 1385 T(T(x \ 1,y),K(x,z)) = T(x \ 1,y). [para(1383(a,1),28(a,1,1)),flip(a)]. 1386 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1383(a,1),263(a,1,2))]. 1387 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),419(a,1,2)),flip(a)]. 1388 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(66,a,860,a(flip),b,1384,a),flip(a)]. 1390 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(116(a,1),1364(a,1,2)),flip(a)]. 1391 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1141(a,2),1364(a,1,2))]. 1392 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(264,a,1390,a)]. 1393 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(135,a,1390,a)]. 1394 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1136(a,1),1390(a,2,2,1,2)),flip(a)]. 1395 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1157(a,1),1393(a,1,1,2,1))]. 1396 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(285,a,27,a,b,1366,a)]. 1397 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(124,a,1366,a,b,xx),flip(a)]. 1399 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(285,a,1110,a(flip),b,1396,a)]. 1400 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(122,a,1396,a,b,1110,a(flip))]. 1401 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(325(a,1),1396(a,1,1)),flip(a)]. 1402 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(883(a,1),1396(a,1,1))]. 1403 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1281(a,2),1396(a,1,1)),flip(a)]. 1404 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(117(a,1),1403(a,1,1,2,2)),flip(a)]. 1405 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(285,a,15,a(flip),b,1387,a),flip(a)]. 1407 T(x,K(x \ 1,y)) = x. [hyper(134,a,1405,a)]. 1408 K(x \ 1,y) * x = x * K(x \ 1,y). [hyper(124,a,1407,a(flip),b,27,a(flip))]. 1410 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(263,a,1399,a),flip(a)]. 1411 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1371(a,1),1400(a,1,2,1,2)),flip(a)]. 1412 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(123,a,830,a(flip),b,1351,a)]. 1413 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(123,a,829,a(flip),b,1351,a),flip(a)]. 1414 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(123,a,116,a(flip),b,1351,a),flip(a)]. 1415 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1205(a,1),1352(a,1,1,2,1)),flip(a)]. 1416 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(15(a,1),1354(a,1,2,2,1,2,2))]. 1417 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(17(a,1),1354(a,1,2,2,1,2,2)),flip(a)]. 1418 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(326(a,1),1354(a,2,1,2,1))]. 1419 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1354(a,1,2,2,1,2)),flip(a)]. 1420 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(15(a,1),1411(a,2,2,1))]. 1422 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(188(a,1),1420(a,2,2))]. 1423 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(57,a,1422,a)]. 1425 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(58,a,1423,a)]. 1426 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(116(a,1),1417(a,1,1)),flip(a)]. 1427 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(838(a,1),1417(a,1,1)),flip(a)]. 1428 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1076(a,2),1417(a,1,1))]. 1429 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(66,a,830,a,b,1426,a)]. 1430 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(14(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1431 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(79(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1432 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1140(a,2),1426(a,1,2)),flip(a)]. 1433 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(209(a,1),1430(a,1,1,1,2)),flip(a)]. 1434 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(116(a,1),1433(a,1,2))]. 1435 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(225,a,1434,a)]. 1436 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(123,a,1435,a,b,xx)]. 1437 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(122,a,1435,a,b,271,a)]. 1438 x * (T((x \ y) * x,x) / x) = T(y,x). [hyper(124,a,1436,a,b,xx)]. 1440 x \ T(x * (y / x),x) = T(y,x) / x. [para(91(a,1),1436(a,1,1,1)),flip(a)]. 1442 x * (T(y * x,x) / x) = T(x * y,x). [para(14(a,1),1438(a,1,2,1,1,1))]. 1443 T(x * (y / x),x) = x * (T(y,x) / x). [para(91(a,1),1438(a,1,2,1,1)),flip(a)]. 1445 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(896(a,1),1442(a,1,2)),flip(a)]. 1447 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1150(a,1),1442(a,1,2,1,1))]. 1448 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(14(a,1),1437(a,1,2,1,1))]. 1449 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(285,a,1354,a(flip),b,1445,a),flip(a)]. 1450 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(85(a,1),1432(a,1,1,1,2)),flip(a)]. 1452 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(243(a,2),1450(a,2,1))]. 1453 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(14(a,1),1452(a,1,2,2)),flip(a)]. 1454 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(27(a,2),1452(a,1,2,2))]. 1455 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1453(a,1),216(a,1,2))]. 1456 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),1428(a,2,2,2,1,2))]. 1458 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(325(a,1),1456(a,2,2))]. 1460 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(788(a,1),1458(a,1,1,1))]. 1462 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(582(a,1),213(a,1,1))]. 1463 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(15(a,1),1462(a,1,1,2))]. 1464 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(123,a,575,a(flip),b,781,a)]. 1465 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(12(a,1),1464(a,1,1,1))]. 1466 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(17(a,1),1464(a,1,1,1)),flip(a)]. 1467 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1465(a,1),1114(a,1,1,2))]. 1468 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(124,a,810,a(flip),b,104,a),flip(a)]. 1469 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),816(a,1,2,1))]. 1470 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(357(a,1),964(a,1,2))]. 1471 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(185,a,1470,a)]. 1472 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(66,a,719,a(flip),b,1087,a),flip(a)]. 1473 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(87(a,1),1472(a,1,2)),flip(a)]. 1474 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(578,a,1473,a(flip))]. 1476 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(224,a,1474,a,b,15,a)]. 1478 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(357(a,1),1133(a,1,1)),flip(a)]. 1479 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(138,a,1478,a)]. 1481 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(285,a,14,a(flip),b,1479,a),flip(a)]. 1482 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(224,a,1479,a,b,15,a)]. 1483 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(14(a,1),1481(a,1,2,1))]. 1484 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1369(a,1,2)),flip(a)]. 1485 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1484(a,1,2)),flip(a)]. 1486 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1485(a,1),36(a,1,1)),flip(a)]. 1487 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1485(a,1),1168(a,1,1))]. 1488 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(15(a,1),716(a,2,1,1,2))]. 1489 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(285,a,417,a(flip),b,1488,a),flip(a)]. 1490 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(16(a,1),1489(a,1,1,1,2))]. 1491 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(861,a,1490,a)]. 1492 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(815,a,1039,a)]. 1493 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(798(a,1),1492(a,1,1))]. 1494 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1000(a,1),1493(a,1,1,2,1))]. 1495 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),941(a,1,1))]. 1496 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(285,a,587,a(flip),b,944,a),flip(a)]. 1497 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(796,a,945,a)]. 1498 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(815,a,1040,a)]. 1499 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1301(a,1),1498(a,1,1))]. 1500 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(135,a,1499,a)]. 1502 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(209(a,1),1499(a,1,1,2)),flip(a)]. 1503 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1500(a,1),912(a,1,3)),flip(a)]. 1504 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1093(a,1),391(a,1))]. 1505 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(90(a,1),1128(a,1,2)),flip(a)]. 1506 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(12(a,1),1505(a,2,1,1))]. 1507 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(128,a,1144,a)]. 1508 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(15(a,1),1145(a,2,2,1,2))]. 1509 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(308,a,1155,a),flip(a)]. 1510 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(128,a,1171,a)]. 1511 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(12(a,1),1173(a,2,1,1,1))]. 1512 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(285,a,593,a(flip),b,1511,a),flip(a)]. 1513 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(593(a,1),1512(a,1,1))]. 1514 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(135,a,1513,a),flip(a)]. 1515 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1514(a,1,1)),flip(a)]. 1516 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1049,a,1177,a)]. 1517 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1177(a,1,1))]. 1518 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1516(a,1),50(a,1)),flip(a)]. 1519 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1516(a,2),1493(a,1,1)),flip(a)]. 1520 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(128,a,1180,a)]. 1521 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(308,a,1248,a),flip(a)]. 1522 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1521(a,1),222(a,1,2))]. 1523 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(427,a,1522,a)]. 1524 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(87(a,1),1298(a,1,1,1)),flip(a)]. 1526 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1524(a,1),1065(a,1,2)),flip(a)]. 1527 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(285,a,223,a(flip),b,1319,a),flip(a)]. 1528 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(915(a,1),1527(a,1,2,1,2))]. 1529 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(231(a,1),1487(a,1,2))]. 1530 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(16(a,1),1496(a,1,1,1,1,1)),flip(a)]. 1531 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(587(a,1),1496(a,1,1))]. 1532 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(593(a,1),1497(a,2,1))]. 1533 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(13(a,1),1507(a,1,2,2,1,2)),flip(a)]. 1534 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(23(a,2),1533(a,1,1)),flip(a)]. 1535 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(13(a,1),1510(a,1,2,2,1,2)),flip(a)]. 1536 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(15(a,1),1520(a,1,2,2,1))]. 1537 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1536,a)]. 1538 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1536(a,1),434(a,1))]. 1539 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(285,a,1304,a(flip),b,1537,a),flip(a)]. 1540 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(87(a,1),1537(a,1,2,1)),flip(a)]. 1541 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(907(a,1),1537(a,1,2)),flip(a)]. 1542 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(954(a,1),1537(a,1,2)),flip(a)]. 1543 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1347(a,1),1537(a,1,2)),flip(a)]. 1544 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),1539(a,2,2,1))]. 1545 T(x,x / (x * (y \ x))) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,1516,a),flip(a)]. 1546 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1545(a,1,2))]. 1547 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(16(a,1),1546(a,2,2,2))]. 1548 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(419(a,2),1541(a,1,2,1))]. 1549 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(14(a,1),1530(a,1,2,1)),flip(a)]. 1550 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(587(a,1),1530(a,2,1))]. 1551 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(588(a,1),1549(a,1,1))]. 1552 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(550,a,1551,a)]. 1553 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(525,a,1551,a),flip(a)]. 1554 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(517,a,1551,a)]. 1555 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(128,a,1551,a)]. 1556 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(123,a,150,a(flip),b,1551,a)]. 1557 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(122,a,1551,a(flip),b,96,a)]. 1559 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1551(a,1),310(a,1,1))]. 1560 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(224,a,1553,a,b,15,a)]. 1562 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1553(a,1),355(a,1,1)),flip(a)]. 1563 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1554(a,1),297(a,1,2)),flip(b)]. 1564 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(178(a,1),1554(a,1,1,1)),flip(a)]. 1565 ((x * (y / z)) * z) \ ((x * y) * z) = L(z,y / z,x). [para(499(a,1),1554(a,1,1,1))]. 1567 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1555(a,1),981(a,1,1)),flip(a)]. 1568 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [para(1556(a,1),118(a,1,1))]. 1569 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1556(a,1,1)),flip(a)]. 1570 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1560(a,1),231(a,1,1))]. 1571 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(124,a,1567,a(flip),b,589,a)]. 1573 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(135,a,1569,a)]. 1574 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(128,a,1569,a),flip(a)]. 1575 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(123,a,460,a(flip),b,1569,a)]. 1577 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1569(a,1),308(a,1,2))]. 1578 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(17(a,1),1574(a,2,2,1,2)),flip(a)]. 1579 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(224,a,1571,a,b,15,a),flip(a)]. 1580 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(135,a,1571,a)]. 1581 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(123,a,151,a(flip),b,1571,a)]. 1583 a(1 / x,x / y,y) \ (((1 / x) * x) * y) = L(y,x / y,1 / x). [para(865(a,1),1565(a,1,1))]. 1584 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1562(a,2),47(a,1))]. 1585 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(123,a,938,a(flip),b,1531,a)]. 1586 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(85(a,1),1531(a,1,1,2,1,2)),flip(a)]. 1588 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(66,a,938,a(flip),b,1586,a)]. 1589 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(66,a,937,a(flip),b,1586,a)]. 1590 T(x,x * L(x \ 1,y,z)) = x. [hyper(224,a,823,a(flip),b,1586,a(flip))]. 1591 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(224,a,1586,a(flip),b,446,a(flip))]. 1593 K(x,x * L(x \ 1,y,z)) = 1. [hyper(58,a,1590,a)]. 1594 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(357(a,1),1590(a,1,2,2))]. 1595 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1080(a,1),1590(a,1,2))]. 1596 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1506(a,1),1590(a,1,2))]. 1597 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1242(a,2),1595(a,1,2))]. 1598 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1596(a,1),425(a,1,1,2)),flip(a)]. 1599 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(90(a,1),1594(a,1,2,2))]. 1600 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1594(a,1),667(a,1,2)),flip(a)]. 1601 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1597(a,1),727(a,1,1))]. 1602 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(57,a,1599,a)]. 1603 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(38,a,778,a,b,1600,a),flip(a)]. 1604 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(123,a,1508,a(flip),b,1588,a(flip)),flip(a)]. 1605 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1604(a,1,1)),flip(a)]. 1606 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(66,a,941,a(flip),b,1532,a)]. 1607 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(224,a,1532,a(flip),b,1171,a),flip(a)]. 1608 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(224,a,1532,a(flip),b,941,a(flip)),flip(a)]. 1609 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(122,a,1532,a(flip),b,1171,a),flip(a)]. 1610 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(12(a,1),1532(a,1,2,1,2))]. 1611 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1532(a,1,2,1)),flip(a)]. 1613 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(663(a,1),1532(a,1,2,1)),flip(a)]. 1614 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1611(a,1,1,2,1))]. 1616 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(525,a,1614,a),flip(a)]. 1617 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(517,a,1614,a)]. 1619 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(128,a,1614,a)]. 1620 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(123,a,150,a(flip),b,1614,a)]. 1621 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(123,a,88,a(flip),b,1614,a),flip(a)]. 1622 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(122,a,150,a(flip),b,1614,a)]. 1623 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(223(a,1),1614(a,1,1)),flip(a)]. 1624 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(828,a,1621,a)]. 1625 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(224,a,1621,a,b,15,a),flip(a)]. 1626 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1621(a,1),225(a,2)),flip(a)]. 1627 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1621(a,1),105(a,2,1))]. 1628 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1617(a,1),297(a,1,2)),flip(b)]. 1630 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1619(a,1),981(a,1,1)),flip(a)]. 1631 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1619(a,1),1329(a,1,2,1)),flip(a)]. 1632 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(66,a,837,a(flip),b,1630,a)]. 1633 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(124,a,1630,a(flip),b,589,a)]. 1634 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1630(a,1),223(a,1,2)),flip(a)]. 1635 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(796,a,1624,a)]. 1636 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(123,a,81,a(flip),b,1633,a)]. 1638 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(627,a,1636,a)]. 1639 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1625(a,1),656(a,1,1,2))]. 1640 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(27(a,2),1608(a,1,2,1,2)),flip(a)]. 1641 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(123,a,1640,a,b,593,a)]. 1642 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(122,a,1640,a,b,xx)]. 1643 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(188(a,1),1640(a,2,2,1,2))]. 1644 T(x,x * R(x \ 1,y,z)) = x. [hyper(57,a,1643,a)]. 1645 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1643(a,1),1443(a,2,2,1))]. 1646 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(90(a,1),1644(a,1,2,2,1))]. 1647 T(x,(y / (x * y)) * x) = x. [para(607(a,2),1644(a,1,2))]. 1648 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(595(a,1),1644(a,1,2))]. 1649 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1644(a,1,2))]. 1650 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1647(a,1),1026(a,1,1,1)),flip(a)]. 1651 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(57,a,1649,a)]. 1652 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1649(a,1),28(a,1,1)),flip(a)]. 1653 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1646(a,1),669(a,1,1,2))]. 1654 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1648(a,1),727(a,1,1))]. 1655 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1654(a,1),1169(a,1,1))]. 1656 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(14(a,1),1641(a,1,1,1,2,1)),flip(a)]. 1658 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(66,a,941,a(flip),b,1610,a)]. 1659 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(66,a,940,a(flip),b,1610,a)]. 1661 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(116(a,1),1623(a,1,1)),flip(a)]. 1662 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(285,a,118,a(flip),b,1632,a),flip(a)]. 1663 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(124,a,118,a(flip),b,1632,a)]. 1664 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(205(a,1),1663(a,1,1,2))]. 1665 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(285,a,12,a(flip),b,1664,a),flip(a)]. 1666 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(15(a,1),1665(a,1,1,2,2))]. 1667 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(66,a,938,a(flip),b,1550,a)]. 1668 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(66,a,823,a(flip),b,1550,a),flip(a)]. 1669 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(224,a,1550,a(flip),b,938,a(flip)),flip(a)]. 1671 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(27(a,2),1669(a,1,2,1,2)),flip(a)]. 1672 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(122,a,1671,a,b,xx)]. 1673 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(14(a,1),1672(a,1,2,1,2,1)),flip(a)]. 1674 a(1 / x,x / y,y) \ y = L(y,x / y,1 / x). [para(88(a,1),1583(a,1,2))]. 1675 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(1508(a,1),1585(a,1,1)),flip(a)]. 1676 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(14(a,1),1631(a,1,1,2,1))]. 1677 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(123,a,150,a(flip),b,1676,a)]. 1678 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(116(a,1),1677(a,1,1)),flip(a)]. 1679 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(224,a,1678,a,b,15,a),flip(a)]. 1681 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(601(a,1),1650(a,1,2))]. 1682 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(748(a,2),1675(a,1,2,1)),flip(a)]. 1683 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(585(a,1),1682(a,1,1)),flip(a)]. 1684 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(16(a,1),1683(a,1,1)),flip(a)]. 1685 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1684(a,1),118(a,1,1))]. 1686 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(285,a,1240,a(flip),b,1685,a),flip(a)]. 1687 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(27(a,2),1686(a,2,2))]. 1688 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(15(a,1),470(a,1,2,1))]. 1689 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1375(a,1),484(a,1,2,3))]. 1690 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(814(a,1),877(a,1,1))]. 1691 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1211(a,1),1690(a,2,2,1,2))]. 1692 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(32(a,2),1056(a,1,1,1))]. 1693 ((x \ ((x * y) / z)) * x) * z != u | x * (z * T(z \ y,x)) = u. [para(1429(a,1),1072(a,1))]. 1694 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(66,a,978,a(flip),b,1188,a),flip(a)]. 1695 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(242(a,1),1395(a,1,1))]. 1696 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(491(a,1),1494(a,2,2))]. 1697 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(12(a,1),1696(a,2,2,1))]. 1698 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(464(a,1),1692(a,1,1))]. 1699 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(355(a,1),1698(a,1,2))]. 1700 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1699(a,1),28(a,1,1)),flip(a)]. 1701 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1225(a,1),1700(a,1,1))]. 1702 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(17(a,1),1701(a,1,1)),flip(a)]. 1703 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1702(a,2,2))]. 1704 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(17(a,1),1703(a,1,1))]. 1705 T(x,x * (y \ 1)) = T(x,y \ x). [para(118(a,1),1704(a,1,2)),flip(a)]. 1706 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(746(a,1),1119(a,1,2,1))]. 1707 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(138,a,1706,a)]. 1708 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(66,a,1262,a(flip),b,1707,a),flip(a)]. 1709 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1653(a,1),1161(a,1,1))]. 1710 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(66,a,232,a(flip),b,1709,a)]. 1711 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1027(a,1),1184(a,2,2))]. 1712 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(21(a,2),1711(a,1,2,1)),flip(a)]. 1713 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(21(a,2),1271(a,1,2,1)),flip(a)]. 1714 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1110(a,1),1713(a,1,2))]. 1715 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(128,a,1714,a)]. 1716 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1594(a,1),1278(a,2,2,2))]. 1717 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(15(a,1),1295(a,2,1))]. 1718 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(128,a,1468,a)]. 1719 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1537(a,2),1468(a,1,2))]. 1720 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(13(a,1),1719(a,2,2,1,2,2))]. 1721 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(27(a,2),1720(a,1,2,2,1,2)),flip(a)]. 1722 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1029(a,1),1543(a,1,2,1))]. 1723 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1586(a,1),1589(a,1,2)),flip(a)]. 1724 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1080(a,1),1723(a,1,1)),flip(a)]. 1725 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1607(a,1,1))]. 1726 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1725(a,1,2,1,1))]. 1727 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(14(a,1),1726(a,2,1,2,1))]. 1728 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(600(a,1),1645(a,2,2))]. 1729 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(600(a,1),1728(a,1,1,2))]. 1730 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(205(a,1),1729(a,1,1,2))]. 1731 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(205(a,1),1730(a,2,2))]. 1732 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(66,a,1681,a,b,1731,a)]. 1733 T(x,x * (y / (x * y))) = x. [hyper(57,a,1731,a)]. 1734 T(x,x * ((x \ y) / y)) = x. [para(15(a,1),1733(a,1,2,2,2))]. 1735 T(x / y,(x / y) * (y / x)) = x / y. [para(17(a,1),1733(a,1,2,2,2))]. 1736 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1734(a,1),282(a,1,1)),flip(a)]. 1737 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1735(a,1),231(a,1,1)),flip(a)]. 1738 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(285,a,118,a(flip),b,1737,a),flip(a)]. 1739 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1738(a,1),1293(a,2,1,2))]. 1740 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1736(a,1),1293(a,2,1,2))]. 1741 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1610(a,1),1659(a,1,2)),flip(a)]. 1742 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),1741(a,1,1)),flip(a)]. 1743 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(823(a,1),1668(a,1,1))]. 1744 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(123,a,150,a(flip),b,1743,a)]. 1745 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(356(a,1),1743(a,1,1,2,2)),flip(a)]. 1746 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(356(a,1),1745(a,1,2,2)),flip(a)]. 1747 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(285,a,238,a(flip),b,1716,a),flip(a)]. 1749 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1747(a,1),1124(a,1,1)),flip(a)]. 1750 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(66,a,1482,a(flip),b,1749,a)]. 1751 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(391,a,1750,a)]. 1752 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(14(a,1),1750(a,1,1,2))]. 1753 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1751(a,1),1533(a,1,2)),flip(a)]. 1754 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(14(a,1),1752(a,2,2))]. 1755 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(185,a,1754,a)]. 1756 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(138,a,1754,a)]. 1757 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1755(a,1),1120(a,2,1,1,2)),flip(a)]. 1758 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(203(a,2),1756(a,1,1,1)),flip(a)]. 1759 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(123,a,203,a,b,1758,a(flip))]. 1760 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(13(a,1),1718(a,1,2,2,1,2,2)),flip(a)]. 1761 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(15(a,1),1739(a,2,1))]. 1762 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(285,a,85,a(flip),b,1761,a),flip(a)]. 1764 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(285,a,413,a(flip),b,750,a),flip(a)]. 1765 T(x,x * (y * T(y \ 1,x))) = x. [para(1764(a,1),258(a,1,2))]. 1766 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1764(a,1),1301(a,1,1)),flip(a)]. 1767 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1764(a,1),1327(a,1,2)),flip(a)]. 1768 T(x,x * K(y,x)) = x. [para(1266(a,2),1765(a,1,2,2))]. 1769 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1262(a,1),1765(a,1,2,2))]. 1770 T(x * K(y,x),x) = x * K(y,x). [hyper(57,a,1768,a)]. 1771 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1050(a,1),1769(a,1,2,2,2,2))]. 1772 T(x,x * (T(x,y) \ x)) = x. [para(15(a,1),1771(a,1,2,2,2))]. 1773 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1772(a,1),28(a,1,1)),flip(a)]. 1774 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(66,a,1019,a(flip),b,1773,a)]. 1775 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(185,a,1774,a)]. 1777 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1502(a,1),1774(a,1,1,2,1))]. 1778 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1214,a,1775,a)]. 1779 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(66,a,1201,a(flip),b,1775,a)]. 1780 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1775(a,2),670(a,1,2))]. 1781 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1778(a,1),417(a,1,1)),flip(a)]. 1782 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(411(a,1),794(a,1,1)),flip(a)]. 1783 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(66,a,1377,a(flip),b,911,a)]. 1785 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1783(a,1),638(a,1,1))]. 1786 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(66,a,232,a(flip),b,1785,a),flip(a)]. 1787 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1786(a,1),1541(a,1,2))]. 1788 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(973(a,1),1193(a,1,2))]. 1789 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(27(a,2),1788(a,1,2,1,1))]. 1790 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(66,a,415,a(flip),b,1789,a),flip(a)]. 1791 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1254(a,1,2,2))]. 1792 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(138,a,1791,a)]. 1793 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1792(a,1),878(a,1,2,1))]. 1794 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1792(a,1),1537(a,2,2,1)),flip(a)]. 1795 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(308,a,1455,a),flip(a)]. 1796 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(285,a,1502,a(flip),b,1777,a),flip(a)]. 1797 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1571(a,2),584(a,1,2))]. 1798 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(116(a,1),819(a,1,2,1,1)),flip(a)]. 1799 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(224,a,1610,a(flip),b,1798,a),flip(a)]. 1800 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(608,a,1799,a),flip(a)]. 1801 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1799(a,1,2,1,1)),flip(a)]. 1802 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(886(a,1),1800(a,2,1,2))]. 1803 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1378(a,1),1802(a,1,1,2)),flip(a)]. 1804 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(38,a,1410,a(flip),b,1803,a),flip(a)]. 1806 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1804(a,1),118(a,1,1))]. 1807 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1804(a,2),1425(a,1,2))]. 1808 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(66,a,1422,a(flip),b,1806,a),flip(a)]. 1810 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(15(a,1),1163(a,1,2,1)),flip(a)]. 1811 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(118(a,1),1810(a,1,1)),flip(a)]. 1812 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(118(a,1),1811(a,1,2)),flip(a)]. 1813 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(14(a,1),1812(a,1,1)),flip(a)]. 1814 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(14(a,1),1813(a,1,2)),flip(a)]. 1815 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(15(a,1),1253(a,1,2,1)),flip(a)]. 1816 L(x / y,z,u) \ T(x / y,y) = (y \ x) * (L(x / y,z,u) \ 1). [para(118(a,1),1815(a,1,1)),flip(a)]. 1817 (x \ y) * (L(y / x,z,u) \ 1) = L(y / x,z,u) \ (x \ y). [para(118(a,1),1816(a,1,2)),flip(a)]. 1818 L(x / (x / y),z,u) \ ((x / y) \ x) = y * (L(x / (x / y),z,u) \ 1). [hyper(66,a,182,a(flip),b,1817,a),flip(a)]. 1822 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(883(a,1),1391(a,2,1))]. 1823 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(37,a,272,a,b,1822,a),flip(a)]. 1824 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(15(a,1),1463(a,1,2,2)),flip(a)]. 1825 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(15(a,1),1824(a,1,3,2)),flip(a)]. 1827 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(224,a,1531,a,b,1469,a(flip))]. 1828 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(224,a,1550,a(flip),b,1469,a(flip)),flip(a)]. 1829 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(13(a,1),1469(a,1,2,1,2)),flip(a)]. 1830 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(224,a,1586,a(flip),b,1829,a),flip(a)]. 1831 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1830(a,1),46(a,1))]. 1832 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(203(a,1),1830(a,1,2)),flip(a)]. 1833 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(453(a,1),1830(a,2,1,2))]. 1834 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(903(a,1),1832(a,2,2,1))]. 1835 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1787(a,1),1834(a,1,1)),flip(a)]. 1836 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(15(a,1),1528(a,1,2,1)),flip(a)]. 1837 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(135,a,1836,a)]. 1839 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(66,a,927,a(flip),b,1837,a),flip(a)]. 1840 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(595(a,1),1609(a,2,2,1))]. 1841 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(207(a,1),1740(a,2,1))]. 1842 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(285,a,85,a(flip),b,1841,a),flip(a)]. 1844 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1842(a,1),1124(a,1,1)),flip(a)]. 1845 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(66,a,1476,a(flip),b,1844,a)]. 1846 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(90(a,1),1845(a,1,1,2,1))]. 1847 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(90(a,1),1846(a,2,2,1))]. 1848 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(138,a,1847,a)]. 1850 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1847(a,1),1762(a,1,1))]. 1851 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(16(a,1),1850(a,1,1,2))]. 1852 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(123,a,16,a(flip),b,1848,a),flip(a)]. 1853 K(1 / x,(y / (x * y)) * x) = 1. [para(16(a,1),1851(a,1,2,2))]. 1854 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(59,a,1853,a)]. 1855 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1504,a,1854,a)]. 1856 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(124,a,1854,a(flip),b,1093,a)]. 1857 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(205(a,2),1855(a,1,3))]. 1858 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1857(a,1),359(a,1,2))]. 1859 L(x \ 1,x,x \ 1) = 1 / x. [para(366(a,1),1857(a,1,3))]. 1860 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1859(a,1),30(a,2,1))]. 1861 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1859(a,1),35(a,1,1)),flip(a)]. 1862 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1859(a,1),359(a,1,2))]. 1863 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1859(a,1),1353(a,1,1,2)),flip(a)]. 1864 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1859(a,1),1588(a,2,1,2))]. 1865 T(1 / (1 / x),x \ 1) = x. [hyper(1235,a,1862,a)]. 1866 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(285,a,243,a,b,1862,a),flip(a)]. 1867 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1862(a,2),339(a,1))]. 1869 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1865(a,1),28(a,1,1)),flip(a)]. 1870 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1865(a,1),142(a,1,1)),flip(a)]. 1871 T(x,x \ 1) / x = K(x,x \ 1). [para(1865(a,1),1237(a,1,1)),flip(a)]. 1872 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(136,a,1866,a)]. 1873 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(66,a,1316,a(flip),b,1866,a)]. 1874 x * K(x \ 1,x) = 1 / (1 / x). [hyper(124,a,1866,a(flip),b,1316,a(flip))]. 1875 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1866(a,1),841(a,1,1))]. 1876 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(117(a,1),1871(a,1,1))]. 1877 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1872(a,1),103(a,1,1))]. 1878 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(66,a,358,a(flip),b,1873,a),flip(a)]. 1880 L(x,x \ 1,x) = 1 / (1 / x). [hyper(776,a,1874,a)]. 1881 K(x \ 1,x) * x = 1 / (1 / x). [hyper(66,a,1408,a,b,1874,a)]. 1885 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(1874(a,1),479(a,1,1,1))]. 1886 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1880(a,1),34(a,1,1)),flip(a)]. 1887 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1557(a,1,1,2,2))]. 1888 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(136,a,1876,a)]. 1889 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(124,a,1876,a(flip),b,1108,a(flip))]. 1890 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1881(a,1),328(a,1,1))]. 1892 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(66,a,1384,a,b,1889,a)]. 1893 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1892(a,1),499(a,1,1))]. 1894 T(x,1 / x) = T(x,x \ 1). [para(230(a,1),1869(a,1,1)),flip(a)]. 1895 T(x,1 / x) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1894,a),flip(a)]. 1896 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1894(a,1),425(a,1,1,2))]. 1897 T(x,x \ 1) / x = K(x,1 / x). [para(1894(a,1),737(a,1,1))]. 1898 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1894(a,1),736(a,2,1))]. 1899 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(87(a,1),1895(a,1,2))]. 1900 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1895(a,1),737(a,1,1))]. 1901 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1895(a,1),951(a,1,1,1))]. 1902 K(x,1 / x) = K(x,x \ 1). [hyper(66,a,1871,a(flip),b,1897,a),flip(a)]. 1903 K(x,x \ 1) = x * (1 / x). [hyper(402,a,1902,a),flip(a)]. 1904 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(66,a,626,a,b,1902,a)]. 1905 x \ K(x,x \ 1) = 1 / x. [hyper(122,a,1902,a(flip),b,245,a(flip))]. 1906 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(87(a,1),1902(a,1,2)),flip(a)]. 1908 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1902(a,1),1062(a,1,2))]. 1909 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1902(a,1),1315(a,1,2))]. 1910 (x \ 1) * K(x,1 / x) = 1 / x. [para(1902(a,2),1889(a,1,2))]. 1911 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(124,a,1903,a,b,1753,a),flip(a)]. 1912 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [hyper(124,a,1903,a,b,1244,a)]. 1913 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [hyper(124,a,1903,a,b,176,a)]. 1914 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(66,a,401,a,b,1903,a)]. 1916 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1903(a,2),100(a,1,1))]. 1917 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1903(a,2),106(a,1,2,2))]. 1918 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1903(a,2),445(a,1,1))]. 1919 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1903(a,2),981(a,1,1,2,1))]. 1920 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),830(a,1,1))]. 1921 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1903(a,2),1245(a,1,2))]. 1922 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1903(a,2),1746(a,1,1,2))]. 1923 x * (1 / x) != y | K(x,x \ 1) = y. [para(1905(a,1),240(a,1,2)),flip(b)]. 1926 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(285,a,284,a,b,1899,a)]. 1927 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(117(a,2),1899(a,2,1)),flip(a)]. 1928 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(90(a,1),1900(a,1,1,1)),flip(a)]. 1929 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [hyper(124,a,1909,a(flip),b,176,a)]. 1930 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1909(a,1),113(a,2,2))]. 1931 (1 / x) / K(x,1 / x) = x \ 1. [hyper(135,a,1910,a)]. 1933 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1927(a,1),359(a,1,2,1))]. 1934 R(1 / x,x,1 / x) = x \ 1. [hyper(623,a,1931,a)]. 1935 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1934(a,1),371(a,1,1)),flip(a)]. 1936 K(x,1 / x) != y | K(x,x \ 1) = y. [para(245(a,2),1923(a,1))]. 1937 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1926(a,1),1402(a,2,1,2,2))]. 1938 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1860(a,1),448(a,1,2))]. 1939 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1890(a,1),587(a,1,1,1)),flip(a)]. 1940 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1928(a,2),1867(a,1))]. 1941 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1935(a,1),176(a,1,1))]. 1942 K(x \ 1,x) * L(1 / x,y,z) != u | (x \ 1) * (x * L(x \ 1,y,z)) = u. [para(1861(a,1),764(a,1,2))]. 1943 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1886(a,1),1695(a,1,1))]. 1944 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1898(a,1),661(a,1,2))]. 1947 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1940,a,1902,a),flip(a)]. 1948 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(1902(a,1),1940(a,1))]. 1950 K(1 / x,x) != y | K(x \ 1,x) = y. [para(90(a,1),1948(a,1,2))]. 1951 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(1950,a,1916,a(flip)),flip(a)]. 1952 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1626,a,1858,a)]. 1953 T(1 / (1 / x),y / (x * y)) = x. [para(205(a,1),1952(a,1,2))]. 1954 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1952(a,1),1869(a,1,1)),flip(a)]. 1955 T(x,y / (x * y)) = T(x,x \ 1). [para(1953(a,1),1869(a,1,1)),flip(a)]. 1956 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1955,a),flip(a)]. 1957 T(x,(x \ y) / y) = T(x,x \ 1). [para(15(a,1),1955(a,1,2,2))]. 1958 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1955(a,1),1296(a,2,1))]. 1959 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(17(a,1),1956(a,1,2,2))]. 1960 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [hyper(124,a,1957,a(flip),b,27,a(flip))]. 1961 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1957(a,1),263(a,1,2))]. 1962 x \ T(x,x \ 1) = K(x,1 / x). [hyper(122,a,1954,a(flip),b,1547,a(flip))]. 1963 x * K(x,x \ 1) = T(x,x \ 1). [hyper(124,a,1902,a(flip),b,1962,a)]. 1964 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(66,a,278,a(flip),b,1962,a)]. 1965 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1963,a),flip(a)]. 1966 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(122,a,1955,a,b,1963,a)]. 1969 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1963(a,1),479(a,1,1,1))]. 1970 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(122,a,1964,a,b,245,a(flip))]. 1971 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(122,a,1964,a(flip),b,994,a),flip(a)]. 1972 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1964(a,2),1936(a,1))]. 1974 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [hyper(124,a,1959,a(flip),b,27,a(flip))]. 1975 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1959(a,1),418(a,1,1))]. 1976 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1896,a),flip(a)]. 1977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(90(a,1),1901(a,1,1,1,1)),flip(a)]. 1978 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1901(a,1),118(a,1,1))]. 1979 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1903(a,2),1922(a,2,2))]. 1980 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(209(a,1),1976(a,1,1)),flip(a)]. 1981 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(128,a,1979,a)]. 1982 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(123,a,150,a(flip),b,1979,a)]. 1983 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1981(a,1),981(a,1,1)),flip(a)]. 1984 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1982(a,1),118(a,1,1))]. 1985 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1982(a,1),630(a,1,1))]. 1986 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(16(a,1),1852(a,1,1)),flip(a)]. 1987 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1986(a,1),1121(a,1,1,2))]. 1989 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(285,a,1020,a(flip),b,1971,a),flip(a)]. 1990 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(37,a,628,a(flip),b,1975,a(flip))]. 1992 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(209(a,1),1980(a,1,1)),flip(a)]. 1993 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1992(a,1),1213(a,1,1))]. 1994 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1993(a,1),1207(a,1,1,1))]. 1995 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1526,a,b,1989,a)]. 1996 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1903(a,2),1863(a,2,1))]. 1997 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1996(a,1),1864(a,1,2))]. 1998 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1903(a,2),1997(a,2,1))]. 1999 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(14(a,1),1998(a,1,2,2)),flip(a)]. 2000 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(27(a,2),1998(a,1,2,2))]. 2001 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1998(a,1),46(a,1))]. 2002 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(285,a,1402,a,b,1937,a),flip(a)]. 2003 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2002(a,1),699(a,1,1)),flip(a)]. 2004 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [hyper(124,a,1938,a(flip),b,583,a)]. 2005 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(876,a,1994,a)]. 2006 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [hyper(124,a,2005,a(flip),b,1516,a)]. 2007 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1000(a,1),2005(a,1,2,1))]. 2008 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2007(a,1),1697(a,1,1))]. 2009 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(237,a,2008,a),flip(a)]. 2012 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(66,a,2006,a,b,2009,a)]. 2013 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2007(a,2),2012(a,1,2))]. 2014 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(285,a,686,a(flip),b,1919,a),flip(a)]. 2015 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(285,a,1903,a,b,1941,a),flip(a)]. 2016 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(66,a,625,a(flip),b,1987,a),flip(a)]. 2018 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(136,a,2016,a)]. 2020 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(285,a,699,a(flip),b,2003,a),flip(a)]. 2021 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(21(a,2),2020(a,2,1))]. 2022 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(21(a,2),2021(a,1,1))]. 2023 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1856(a,1),2015(a,1,2))]. 2024 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(138,a,2023,a),flip(a)]. 2026 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(979,a,1877,a(flip))]. 2027 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(2026(a,2),46(a,1))]. 2028 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(14(a,1),1757(a,1,1,1))]. 2029 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(224,a,2028,a,b,15,a)]. 2030 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(135,a,2028,a)]. 2033 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(285,a,413,a(flip),b,751,a),flip(a)]. 2034 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(903(a,1),2033(a,2,2))]. 2035 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(66,a,1303,a,b,2034,a)]. 2036 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2034(a,1),1302(a,1,1)),flip(a)]. 2037 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2034(a,1),2035(a,1,1,2))]. 2038 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(14(a,1),2037(a,1,1))]. 2040 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(815,a,879,a),flip(a)]. 2041 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [para(12(a,1),2040(a,1,2,1,2,2))]. 2042 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(17(a,1),2040(a,1,2,1,2,2)),flip(a)]. 2043 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(798(a,1),2040(a,2,1))]. 2044 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [hyper(800,a,2041,a)]. 2045 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(798(a,1),2041(a,2,1))]. 2046 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(112(a,1),2044(a,1,2))]. 2047 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(66,a,1178,a(flip),b,2045,a)]. 2048 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(66,a,1177,a(flip),b,2045,a),flip(a)]. 2049 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(224,a,2045,a(flip),b,1721,a(flip))]. 2052 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(285,a,1537,a(flip),b,2049,a)]. 2053 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1326(a,1),2048(a,1,1)),flip(a)]. 2054 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(15(a,1),2052(a,2,1,2,1))]. 2055 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(419(a,2),2052(a,2,1,2,1)),flip(a)]. 2056 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1000(a,1),2054(a,1,2,1))]. 2057 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1903(a,2),2056(a,2,1))]. 2058 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2057(a,1),2013(a,1,2))]. 2059 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2058(a,1),46(a,1))]. 2060 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(293,a,2042,a),flip(a)]. 2061 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2042(a,1),293(a,1))]. 2062 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(66,a,1179,a(flip),b,2060,a)]. 2063 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(66,a,1043,a(flip),b,2060,a),flip(a)]. 2064 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(224,a,2063,a,b,15,a)]. 2066 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(334(a,2),2062(a,2,1,2,1)),flip(a)]. 2067 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2045(a,1),2062(a,1,2)),flip(a)]. 2068 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1043(a,1),2061(a,1))]. 2070 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(293,a,2043,a),flip(a)]. 2071 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(66,a,1179,a(flip),b,2043,a)]. 2072 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(15(a,1),2071(a,1,2,2,1)),flip(a)]. 2073 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2072(a,2,2,2,1))]. 2074 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2045(a,1),2047(a,1,2)),flip(a)]. 2075 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1537(a,2),2074(a,1,1))]. 2076 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1326(a,1),2053(a,1,2)),flip(a)]. 2077 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(135,a,2076,a)]. 2078 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2077(a,1),813(a,1,1))]. 2079 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(66,a,487,a(flip),b,2078,a),flip(a)]. 2080 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2079(a,1),638(a,1,1))]. 2081 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(630,a,2080,a),flip(a)]. 2082 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(285,a,21,a,b,2081,a)]. 2083 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(21(a,2),2082(a,2,1,2)),flip(a)]. 2084 T(1 / x,K(y,x)) = 1 / x. [hyper(250,a,2083,a)]. 2085 K(x,y) * (1 / y) = (1 / y) * K(x,y). [hyper(136,a,2083,a)]. 2086 x / (1 / (1 / x)) = K(x,1 / x). [para(1315(a,1),2083(a,1,1))]. 2087 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [hyper(254,a,2084,a)]. 2088 K(1 / x,K(y,x)) = 1. [hyper(58,a,2084,a)]. 2089 K(x,K(y,x \ 1)) = 1. [para(87(a,1),2088(a,1,1))]. 2090 T(x,K(y,x \ 1)) = x. [hyper(59,a,2089,a)]. 2091 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2090(a,1),222(a,1,2,1)),flip(a)]. 2092 x / (1 / (1 / x)) = x * (1 / x). [hyper(285,a,245,a(flip),b,2086,a),flip(a)]. 2093 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(136,a,2086,a)]. 2094 L(x,1 / x,x) = 1 / (1 / x). [hyper(554,a,2092,a)]. 2095 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2094(a,1),30(a,2,1))]. 2096 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1902(a,1),2093(a,1,1))]. 2097 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(128,a,2096,a)]. 2098 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2096(a,1),103(a,1,1))]. 2099 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2087(a,1),784(a,1,1,1))]. 2100 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [hyper(124,a,2095,a(flip),b,936,a)]. 2101 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(66,a,1912,a(flip),b,2091,a),flip(a)]. 2102 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2091(a,1),46(a,1)),flip(a)]. 2103 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(308,a,2099,a)]. 2104 T(K(x,y),y \ 1) = K(x,y). [para(366(a,1),2103(a,1,2))]. 2105 T(x \ 1,K(y,x)) = x \ 1. [hyper(57,a,2104,a)]. 2106 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2105(a,1),1399(a,1,1)),flip(a)]. 2107 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1902(a,1),2100(a,1,1))]. 2108 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2001,a,2101,a)]. 2109 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2097(a,2),2107(a,1,2,1))]. 2110 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(285,a,1977,a(flip),b,2108,a),flip(a)]. 2111 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2109(a,1),925(a,1,1))]. 2112 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1951(a,1),2111(a,1,2))]. 2113 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1951(a,1),2112(a,2,1,2))]. 2114 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1874(a,1),2113(a,2,1))]. 2116 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(66,a,1245,a(flip),b,966,a)]. 2117 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [hyper(124,a,966,a(flip),b,358,a(flip))]. 2118 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(2117(a,1),46(a,1)),flip(a)]. 2119 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(66,a,846,a(flip),b,970,a),flip(a)]. 2120 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2119(a,1),818(a,1,2))]. 2121 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(684(a,1),1419(a,1,1)),flip(a)]. 2122 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(745(a,1),1780(a,1,1))]. 2123 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1027(a,1),2122(a,1,1))]. 2124 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1775(a,1),2123(a,1,2))]. 2125 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(66,a,30,a,b,2124,a)]. 2126 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1772(a,1),2125(a,1,1))]. 2127 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(66,a,1027,a,b,2126,a)]. 2128 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2126(a,1),1712(a,1,2))]. 2129 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(66,a,1781,a(flip),b,2127,a),flip(a)]. 2130 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(285,a,472,a(flip),b,1939,a),flip(a)]. 2131 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(66,a,938,a(flip),b,2130,a)]. 2132 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1873(a,1),2131(a,1,2,2,1,2))]. 2133 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(329(a,1),2132(a,1,2,2,1))]. 2134 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(222(a,1),2133(a,1,2)),flip(a)]. 2135 T(x,L(x \ 1,y,z) * x) = x. [hyper(225,a,2134,a)]. 2136 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(357(a,1),2135(a,1,2,1))]. 2137 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(90(a,1),2136(a,1,2,1))]. 2138 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2137(a,1),727(a,1,1))]. 2139 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2138(a,1),1169(a,1,1))]. 2140 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1602(a,1),2139(a,1,2))]. 2141 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(386,a,2140,a)]. 2142 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1625(a,1),2141(a,1,2,1)),flip(a)]. 2143 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(231(a,1),2142(a,2,2))]. 2144 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1625(a,1),2143(a,1,2))]. 2145 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(683(a,1),2116(a,1,2)),flip(a)]. 2146 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2104(a,1),1361(a,1,2,1,2))]. 2147 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(326(a,1),2146(a,1,2,1)),flip(a)]. 2148 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(57,a,2147,a)]. 2149 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(285,a,90,a(flip),b,2148,a),flip(a)]. 2150 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(90(a,1),2149(a,1,1))]. 2151 T(x,x * T(1 / x,y)) = x. [para(90(a,1),2150(a,1,2,1))]. 2152 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(57,a,2151,a)]. 2154 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,1529,a,b,2152,a)]. 2155 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(27(a,2),1412(a,1,1,2,2,1,2)),flip(a)]. 2156 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1651(a,1),1447(a,1,2,1))]. 2157 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1156(a,1),2156(a,1,2)),flip(a)]. 2158 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2157(a,1),1655(a,1,2))]. 2159 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(386,a,2158,a)]. 2160 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(66,a,32,a,b,2159,a)]. 2161 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(285,a,32,a,b,2160,a),flip(a)]. 2162 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2144(a,2),2161(a,1,1))]. 2163 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(84(a,1),1449(a,1,1)),flip(a)]. 2164 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(116(a,1),2163(a,1,1))]. 2166 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(14(a,1),2164(a,1,1,1)),flip(a)]. 2167 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2164(a,1),47(a,1))]. 2168 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(87(a,1),2164(a,1,2)),flip(a)]. 2169 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2166(a,2),47(a,1))]. 2170 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(87(a,1),2168(a,1,1,2)),flip(a)]. 2172 T(((x \ 1) \ y) * (x \ 1),x) = x \ T(y * x,x \ 1). [hyper(224,a,2170,a,b,15,a)]. 2174 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(915(a,1),2170(a,1,1)),flip(a)]. 2175 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(931(a,1),2174(a,1,1)),flip(a)]. 2176 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(118(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(630,a,2176,a),flip(a)]. 2178 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(14(a,1),2177(a,1,1,2)),flip(a)]. 2179 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [hyper(138,a,2178,a)]. 2180 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [hyper(124,a,182,a(flip),b,2178,a),flip(a)]. 2181 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(14(a,1),2179(a,1,2,1)),flip(a)]. 2182 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(97(a,1),2179(a,1,2,1)),flip(a)]. 2183 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2179(a,1),429(a,1,2))]. 2184 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [hyper(124,a,2181,a(flip),b,27,a(flip)),flip(a)]. 2185 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(285,a,242,a(flip),b,2184,a),flip(a)]. 2186 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(123,a,242,a(flip),b,2184,a)]. 2187 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(17(a,1),2186(a,1,1,1)),flip(a)]. 2188 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(247(a,1),2186(a,1,1,1))]. 2189 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(66,a,508,a(flip),b,2188,a),flip(a)]. 2190 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(2189(a,2),47(a,1))]. 2191 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1080(a,1),1724(a,1,2,1)),flip(a)]. 2192 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2191,a),flip(a)]. 2193 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2192(a,1),46(a,1))]. 2194 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),1742(a,1,2,1)),flip(a)]. 2195 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2194,a),flip(a)]. 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1764(a,1),1766(a,1,2)),flip(a)]. 2197 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(122,a,14,a(flip),b,2196,a)]. 2199 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1281(a,2),2197(a,1,1,2))]. 2200 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1281(a,2),2199(a,1,2))]. 2201 K(x,y) / (y \ 1) = y * K(x,y). [hyper(185,a,2200,a)]. 2202 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(138,a,2200,a)]. 2203 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2200(a,1),300(a,1,2))]. 2204 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2201(a,1),841(a,1,1)),flip(a)]. 2205 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2202(a,1),2121(a,1,1))]. 2206 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(285,a,244,a(flip),b,1767,a),flip(a)]. 2207 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1764(a,1),2206(a,1,1)),flip(a)]. 2208 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1266(a,2),2207(a,1,1)),flip(a)]. 2209 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1266(a,2),2208(a,1,1,2)),flip(a)]. 2210 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1887(a,1,2,2))]. 2211 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),1920(a,1,2,1,1))]. 2212 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2034(a,1),2036(a,1,2,1)),flip(a)]. 2213 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(17(a,1),2070(a,2,2,1,2,1))]. 2214 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(135,a,2213,a)]. 2215 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(12(a,1),2214(a,1,1,2,1,2,2)),flip(a)]. 2216 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2105(a,1),2106(a,2,2,1,1))]. 2217 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(285,a,883,a(flip),b,2216,a),flip(a)]. 2219 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(883(a,1),2217(a,1,1))]. 2220 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(57,a,2219,a)]. 2221 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2219(a,1),699(a,1,1)),flip(a)]. 2222 K(K(x,y),y \ T(y,z)) = 1. [hyper(58,a,2220,a)]. 2223 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1502(a,1),2222(a,1,2,2))]. 2224 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(27(a,2),2223(a,1,2))]. 2225 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(285,a,698,a,b,2221,a),flip(a)]. 2227 T(K(x,y),K(z,x)) = K(x,y). [para(21(a,2),2225(a,1,1))]. 2228 T(K(x,y),K(y,z)) = K(x,y). [hyper(57,a,2227,a)]. 2229 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(124,a,2227,a(flip),b,27,a(flip)),flip(a)]. 2230 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(2227(a,1),52(a,1)),flip(a)]. 2232 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2227(a,1),263(a,1,2))]. 2233 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2227(a,1),222(a,1,2,1)),flip(a)]. 2234 x \ y != K(z,u) * K(u,w) | x * (K(u,w) * K(z,u)) = y. [para(2227(a,1),533(a,2,2))]. 2235 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(2228(a,1),52(a,1)),flip(a)]. 2236 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2228(a,1),263(a,1,2))]. 2237 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2228(a,1),221(a,1,2,1)),flip(a)]. 2238 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2228(a,1),222(a,1,2,1)),flip(a)]. 2239 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2228(a,1),223(a,1,2,1)),flip(a)]. 2240 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2228(a,1),383(a,1,2,1))]. 2241 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2228(a,1),384(a,1,2,1))]. 2243 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1947(a,1),2110(a,1,1))]. 2244 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(949(a,1),2243(a,1,2))]. 2245 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(897(a,1),2211(a,2,2))]. 2246 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(285,a,1438,a(flip),b,2245,a),flip(a)]. 2247 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(688,a,2246,a),flip(a)]. 2248 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(124,a,2246,a(flip),b,845,a),flip(a)]. 2249 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(14(a,1),2246(a,1,2,1)),flip(a)]. 2251 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(118(a,1),2247(a,2,1))]. 2252 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2249(a,2),2000(a,1,2))]. 2253 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1985,a,2251,a)]. 2254 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(124,a,2251,a(flip),b,1984,a(flip))]. 2255 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(37,a,1912,a(flip),b,2254,a),flip(a)]. 2256 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(14(a,1),2254(a,1,2,1)),flip(a)]. 2257 R(x,y,K(x,x \ 1)) = x. [hyper(475,a,2256,a)]. 2258 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2257(a,1),32(a,2,1))]. 2259 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2257(a,1,3))]. 2260 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(66,a,1983,a(flip),b,2258,a),flip(a)]. 2262 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1906(a,1),2260(a,1,2,2))]. 2263 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2024(a,2),2260(a,1,2)),flip(a)]. 2265 (1 / x) * (y * K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2259(a,1),262(a,1,1))]. 2266 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2263(a,1),214(a,1,2,1))]. 2267 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(263,a,2252,a)]. 2268 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2252(a,1),263(a,1))]. 2269 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2267,a)]. 2270 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2269(a,1,3))]. 2271 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2270(a,1),30(a,2,1))]. 2272 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(436(a,1),2248(a,1,1,1)),flip(a)]. 2273 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(436(a,1),2272(a,1,1)),flip(a)]. 2274 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2273(a,2),1454(a,1,2))]. 2275 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(263,a,2274,a)]. 2276 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2275,a)]. 2277 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2276(a,1),30(a,2,1))]. 2278 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(66,a,1795,a(flip),b,2277,a)]. 2280 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(285,a,471,a(flip),b,678,a),flip(a)]. 2281 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1072,a,2280,a)]. 2282 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(116(a,1),2281(a,1,2)),flip(a)]. 2283 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(66,a,1598,a(flip),b,959,a)]. 2285 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2283(a,1),798(a,1,1)),flip(a)]. 2286 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | x * L(x \ 1,L(x,y,z),1 / x) = u. [para(2285(a,2),787(a,1))]. 2287 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1072,a,1272,a),flip(a)]. 2288 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(684(a,1),2287(a,2,2))]. 2289 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2288,a)]. 2290 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2289,a)]. 2291 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(85(a,1),2289(a,2,1,2))]. 2292 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(883(a,1),2289(a,1,1))]. 2293 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(16(a,1),2292(a,2,1,2))]. 2294 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(408(a,1),2292(a,2,1,2))]. 2295 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2029(a,2),2294(a,1,1))]. 2296 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1329(a,1),1294(a,2,1))]. 2297 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1357(a,1),2296(a,2,1,1))]. 2298 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(285,a,25,a,b,2297,a)]. 2299 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2298,a)]. 2300 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(85(a,1),2298(a,2,1,2))]. 2301 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1159(a,1),2298(a,2,1,2))]. 2302 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(263,a,2299,a),flip(a)]. 2303 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2300(a,1),112(a,1,1))]. 2304 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(2286,a,1542,a)]. 2305 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(827(a,1),1251(a,1,2)),flip(a)]. 2306 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(27(a,2),1467(a,1,1))]. 2307 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2263(a,1),2306(a,2,2))]. 2308 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),1495(a,1,2,1,1))]. 2309 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1486(a,1),1639(a,1,1))]. 2310 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2162(a,1),2309(a,1,1))]. 2311 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1625(a,1),2310(a,2,1))]. 2313 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2311(a,2),629(a,1))]. 2314 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),1840(a,1,1))]. 2315 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),2314(a,1,2,1,1))]. 2316 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(285,a,1606,a(flip),b,2308,a),flip(a)]. 2317 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1318(a,1),2316(a,2,1))]. 2318 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(285,a,473,a(flip),b,782,a),flip(a)]. 2319 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1194,a,2318,a)]. 2320 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1373(a,1),2319(a,2,1,1))]. 2321 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(32(a,2),1343(a,2,2,2))]. 2322 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(591(a,1),2321(a,2,2))]. 2323 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(335(a,1),2322(a,2,2))]. 2324 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1804(a,1),1823(a,1,2,2)),flip(a)]. 2325 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(122,a,1807,a(flip),b,2324,a(flip)),flip(a)]. 2326 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(901(a,1),1875(a,1,2)),flip(a)]. 2327 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1866(a,1),2326(a,1,2,1,2))]. 2328 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(326(a,1),2327(a,1,2,1)),flip(a)]. 2329 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),23(a,2,1)),flip(a)]. 2330 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),1078(a,1,1))]. 2331 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(883(a,1),2204(a,2,2))]. 2332 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2201(a,1),2331(a,1,2,1,2))]. 2333 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(27(a,2),2332(a,1,2,1))]. 2334 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1590(a,1),2293(a,1,1,2)),flip(a)]. 2335 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(79(a,1),2334(a,2,1))]. 2336 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(285,a,345,a(flip),b,2335,a),flip(a)]. 2339 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(124,a,2336,a(flip),b,97,a),flip(a)]. 2340 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(285,a,13,a(flip),b,2339,a),flip(a)]. 2341 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(947(a,1),1143(a,1,1)),flip(a)]. 2342 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(66,a,574,a(flip),b,2341,a),flip(a)]. 2343 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(285,a,1281,a,b,1282,a),flip(a)]. 2344 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(203(a,1),2343(a,1,2,1))]. 2346 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2344(a,1),630(a,1,1))]. 2347 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1638(a,1),1544(a,1,2,1))]. 2348 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(16(a,1),2347(a,1,2)),flip(a)]. 2350 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(319(a,1),1691(a,1,1,1,2))]. 2351 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(90(a,1),2350(a,1,2)),flip(a)]. 2353 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(209(a,1),2351(a,1,2)),flip(a)]. 2354 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(209(a,1),2353(a,1,1)),flip(a)]. 2355 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(123,a,249,a(flip),b,2354,a),flip(a)]. 2356 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(627,a,2355,a)]. 2357 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2356(a,1),48(a,1))]. 2358 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(790(a,1),1793(a,2,1))]. 2359 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(285,a,2305,a(flip),b,2358,a),flip(a)]. 2360 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1471(a,1),1794(a,2,2,1))]. 2361 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(16(a,1),2360(a,2,2))]. 2362 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(124,a,2361,a(flip),b,2359,a(flip))]. 2364 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(222(a,1),1797(a,1,2,1))]. 2365 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1029(a,1),2055(a,2,2,1))]. 2366 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1548(a,1),2365(a,1,1)),flip(a)]. 2367 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(66,a,1722,a(flip),b,2366,a)]. 2368 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1936,a,2367,a)]. 2369 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(285,a,1835,a,b,2368,a)]. 2370 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2368(a,2),52(a,1)),flip(a)]. 2371 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(37,a,1903,a(flip),b,2369,a),flip(a)]. 2373 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(249(a,1),2371(a,1,2))]. 2374 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1236(a,1),2373(a,1,1))]. 2375 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(66,a,1808,a(flip),b,2374,a),flip(a)]. 2376 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(180,a,2375,a),flip(a)]. 2377 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(117(a,1),2375(a,1,2,1))]. 2378 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(324(a,1),2375(a,1,2,1)),flip(a)]. 2379 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(66,a,615,a(flip),b,2376,a)]. 2380 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(90(a,1),2377(a,1,2,1,1))]. 2381 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(185,a,2378,a)]. 2382 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(124,a,2379,a(flip),b,27,a(flip))]. 2383 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(90(a,1),2379(a,1,1,1)),flip(a)]. 2384 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(118(a,1),2379(a,2,1,1))]. 2386 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(66,a,1874,a,b,2381,a)]. 2387 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(118(a,1),2381(a,1,2,2)),flip(a)]. 2388 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(687,a,2382,a)]. 2389 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(118(a,1),2382(a,1,2,1,1)),flip(a)]. 2391 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(285,a,1965,a,b,2388,a),flip(a)]. 2392 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2388,a),flip(a)]. 2393 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2388(a,1),1009(a,1,2))]. 2394 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2059,a,2391,a)]. 2395 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2370,a,2394,a),flip(a)]. 2396 K(K(x,x \ 1),y) = 1. [hyper(58,a,2394,a)]. 2397 T(x,K(y,y \ 1)) = x. [hyper(57,a,2394,a)]. 2398 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(124,a,2394,a(flip),b,27,a(flip)),flip(a)]. 2399 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(122,a,2394,a(flip),b,2057,a)]. 2401 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2394(a,1),263(a,1,2))]. 2402 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2394(a,1),219(a,1,1,2))]. 2404 K(K(x \ 1,x),y) = 1. [para(1906(a,1),2396(a,1,1))]. 2405 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2397(a,1),263(a,1,2))]. 2407 T(x,K(y \ 1,y)) = x. [para(1906(a,1),2397(a,1,2))]. 2408 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(59,a,2404,a)]. 2409 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2169,a,2407,a),flip(a)]. 2411 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2407(a,1),227(a,1,2))]. 2412 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2407(a,1),263(a,1,2))]. 2413 x \ y != K(z \ 1,z) * u | x * (u * K(z \ 1,z)) = y. [para(2407(a,1),533(a,2,2))]. 2414 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(66,a,1401,a,b,2408,a)]. 2415 T((x \ 1) * x,y) = K(x \ 1,x). [para(243(a,1),2408(a,1,1))]. 2416 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2408(a,1),263(a,1,2))]. 2418 x \ y != z * K(u \ 1,u) | x * (K(u \ 1,u) * z) = y. [para(2408(a,1),533(a,2,2))]. 2420 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(122,a,2398,a(flip),b,446,a)]. 2421 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2398(a,2),462(a,1,2))]. 2422 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1942,a,2409,a),flip(a)]. 2423 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(764,a,2409,a),flip(a)]. 2424 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(285,a,1076,a(flip),b,2409,a),flip(a)]. 2425 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(124,a,2409,a,b,14,a)]. 2426 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(122,a,481,a(flip),b,2409,a)]. 2427 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2409(a,1),103(a,1,1))]. 2428 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2409(a,2),462(a,1,2))]. 2429 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2409(a,2),327(a,1,1))]. 2430 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2409(a,1),2273(a,1,1))]. 2431 T(x,y * K(x \ 1,x)) = T(x,y). [para(2409(a,1),2278(a,1,2))]. 2432 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2408(a,2),2409(a,2,2)),flip(a)]. 2434 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2414(a,1),1115(a,1,1))]. 2435 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(254,a,2384,a)]. 2436 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [hyper(124,a,2387,a(flip),b,27,a(flip)),flip(a)]. 2437 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(612,a,2393,a)]. 2443 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(37,a,628,a(flip),b,2389,a(flip))]. 2445 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(113(a,2),2389(a,1,1,1,1))]. 2446 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1570(a,1),2424(a,2,2))]. 2447 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2424(a,1),2412(a,1))]. 2449 x * (K(y \ 1,y) * z) != x * u | z * K(y \ 1,y) = u. [para(2425(a,2),46(a,1))]. 2450 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(2425(a,2),647(a,1,2))]. 2451 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(14(a,1),2435(a,1,1,2,1,1))]. 2452 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2435(a,1),236(a,1,1)),flip(b)]. 2453 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(105(a,2),2436(a,2,2,2,2))]. 2454 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(14(a,1),2443(a,2,1,1))]. 2455 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2454,a),flip(a)]. 2457 T(x,y / (y * x)) = T(x,x \ 1). [hyper(66,a,1990,a(flip),b,2455,a)]. 2459 T(1 / (1 / x),y / (y * x)) = x. [hyper(1870,a,2457,a(flip))]. 2460 T(1 / (1 / x),(y / x) / y) = x. [para(17(a,1),2459(a,1,2,2))]. 2461 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2460(a,1),210(a,1,2,2))]. 2462 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1744(a,2),2461(a,1,2))]. 2465 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(768,a,2429,a)]. 2467 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2422(a,1),1460(a,1,1))]. 2468 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(66,a,1743,a(flip),b,2467,a)]. 2470 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(243(a,2),2468(a,1,1))]. 2471 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(66,a,2244,a(flip),b,2470,a),flip(a)]. 2472 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(285,a,1759,a(flip),b,2471,a),flip(a)]. 2473 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(38,a,2467,a,b,2472,a(flip))]. 2474 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(285,a,203,a(flip),b,2473,a)]. 2475 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(203(a,1),2474(a,2,2,2)),flip(a)]. 2476 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(285,a,13,a,b,2475,a),flip(a)]. 2477 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(128,a,2475,a)]. 2478 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2477(a,1),268(a,1,1))]. 2479 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(2118,a,2476,a(flip))]. 2480 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(122,a,2479,a(flip),b,2145,a(flip)),flip(a)]. 2482 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(285,a,117,a,b,2480,a),flip(a)]. 2483 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(123,a,2480,a(flip),b,2028,a),flip(a)]. 2484 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(15(a,1),2480(a,1,2,1))]. 2485 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(203(a,2),2480(a,1,2))]. 2486 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(96(a,1),2482(a,1,2,1))]. 2487 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(285,a,1876,a(flip),b,2483,a),flip(a)]. 2490 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(15(a,1),2487(a,1,2,1)),flip(a)]. 2491 K(x,y \ (y / x)) = K(x,x \ 1). [para(17(a,1),2487(a,1,2,1))]. 2492 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1033(a,2),2487(a,1,2,1))]. 2493 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2487(a,2),1951(a,1,1))]. 2494 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2487(a,2),2394(a,1,1))]. 2495 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(66,a,626,a,b,2491,a)]. 2497 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(90(a,1),2484(a,1,2))]. 2498 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2484(a,1),263(a,1,2))]. 2499 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2484(a,1),897(a,1,2)),flip(a)]. 2500 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2484(a,1),1264(a,1,2)),flip(a)]. 2501 T((x \ y) \ 1,x \ y) = T(x \ y,y \ x) \ 1. [para(2484(a,2),1899(a,2,1))]. 2502 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2494(a,1),2295(a,1,1))]. 2503 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(122,a,2490,a(flip),b,1903,a(flip))]. 2504 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(14(a,1),2490(a,2,2))]. 2505 T(x,K(y \ z,z \ y)) = x. [para(2490(a,1),2397(a,1,2))]. 2506 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2169,a,2505,a),flip(a)]. 2507 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(2497(a,1),1417(a,1,1,2))]. 2508 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(21(a,2),2486(a,1,2)),flip(a)]. 2509 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(632,a,2508,a),flip(a)]. 2510 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(66,a,2228,a(flip),b,2509,a),flip(a)]. 2515 1 / (1 / K(x,y)) = K(x,y). [para(2510(a,1),181(a,1,2,2))]. 2516 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2502(a,2),401(a,1,1)),flip(a)]. 2518 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(746(a,1),2492(a,1,2))]. 2519 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2490,a(flip),b,2518,a),flip(a)]. 2520 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(355(a,1),2478(a,2,1))]. 2521 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(66,a,2504,a(flip),b,2516,a)]. 2522 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),2507(a,2,2,2,1,2))]. 2524 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(325(a,1),2522(a,2,2))]. 2525 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2426(a,1),2465(a,1,1,2))]. 2526 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(66,a,2436,a(flip),b,2453,a),flip(a)]. 2527 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(285,a,411,a(flip),b,1613,a),flip(a)]. 2528 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(223(a,1),2527(a,2,2))]. 2529 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2262(a,1),2004(a,1,2,2,2)),flip(a)]. 2530 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2397(a,1),2420(a,1,2,1,1))]. 2531 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(16(a,1),1415(a,1,1))]. 2532 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(16(a,1),2531(a,1,2,1,1)),flip(a)]. 2533 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(14(a,1),2532(a,2,2,1))]. 2534 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(17(a,1),2533(a,1,1,1))]. 2535 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1801(a,2,1))]. 2536 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(285,a,1158,a(flip),b,2535,a),flip(a)]. 2538 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),2536(a,1,1))]. 2539 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(57,a,2538,a)]. 2540 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1732(a,1),2266(a,1,2))]. 2541 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(721,a,2540,a),flip(a)]. 2542 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(66,a,2307,a(flip),b,2541,a)]. 2543 K(x,y / (x * y)) = K(x,x \ 1). [hyper(66,a,1966,a(flip),b,2542,a),flip(a)]. 2545 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(17(a,1),2543(a,1,2,2)),flip(a)]. 2546 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(16(a,1),2545(a,2,2))]. 2547 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1196(a,1,2,1,1))]. 2548 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1194,a,2547,a),flip(a)]. 2549 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(820(a,1),2548(a,2,2))]. 2550 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(445,a,2549,a),flip(a)]. 2551 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(66,a,1250,a(flip),b,2550,a),flip(a)]. 2552 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1601(a,1),2551(a,1,1,2)),flip(a)]. 2553 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(285,a,2291,a(flip),b,2552,a),flip(a)]. 2554 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(38,a,243,a(flip),b,2553,a),flip(a)]. 2555 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(90(a,1),2554(a,1,1))]. 2556 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(949(a,1),2555(a,1,2))]. 2557 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(136,a,2556,a)]. 2558 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(38,a,2340,a,b,2557,a)]. 2560 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1506(a,1),2558(a,1,1)),flip(a)]. 2561 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(285,a,2062,a(flip),b,2066,a),flip(a)]. 2562 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(886(a,1),1689(a,1,1,1))]. 2563 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(243(a,2),2562(a,1,2,2))]. 2564 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1927(a,1),2301(a,1,1,2,1))]. 2565 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1652(a,1),2564(a,1,1,2)),flip(a)]. 2567 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(25(a,2),1515(a,2,2,1,1))]. 2568 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1532(a,1),2567(a,1,1))]. 2569 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1610(a,1),2568(a,1,1,1))]. 2570 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(479,a,2569,a),flip(a)]. 2572 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(66,a,1160,a(flip),b,2570,a),flip(a)]. 2573 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1654(a,1),2572(a,1,1,2)),flip(a)]. 2574 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(38,a,2302,a(flip),b,2573,a),flip(a)]. 2576 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1517(a,1,2,1,2,1))]. 2577 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(66,a,1178,a(flip),b,2576,a),flip(a)]. 2578 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1177(a,1),2577(a,2,2))]. 2579 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2578,a),flip(a)]. 2580 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(15(a,1),2579(a,1,2,1)),flip(a)]. 2581 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,1903,a,b,2580,a),flip(a)]. 2582 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1542(a,1),2581(a,1,1))]. 2583 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(23(a,2),1534(a,2,2,1,1))]. 2584 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(937(a,1),2583(a,1,2))]. 2585 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(823(a,1),2584(a,1,2,2))]. 2586 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2585,a),flip(a)]. 2588 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(958(a,1),2586(a,1,2))]. 2589 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1880(a,1),2586(a,2,1,2))]. 2591 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(13(a,1),2588(a,1,2,2)),flip(a)]. 2592 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2304(a,1),2591(a,1,1)),flip(a)]. 2593 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,2582,a(flip),b,2592,a),flip(a)]. 2594 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(37,a,1903,a(flip),b,2593,a),flip(a)]. 2595 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(66,a,2560,a,b,2594,a)]. 2596 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(185,a,2595,a),flip(a)]. 2597 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(87(a,1),2595(a,1,1,1,2)),flip(a)]. 2598 L(1 / (1 / x),y,z) \ ((1 / x) \ 1) = x * (1 / L(x,y,z)). [para(2595(a,1),1818(a,2,2))]. 2599 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(87(a,1),2596(a,1,1,2)),flip(a)]. 2600 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(451(a,1),2596(a,2,2,2))]. 2601 L(1 / (1 / ((x \ 1) \ y)),x \ 1,x) = 1 / (1 / (x * y)). [para(452(a,1),2596(a,2,2,2))]. 2602 L(1 / (1 / x),y / x,1 / y) = 1 / ((1 / y) * (y / x)). [para(707(a,1),2596(a,2,2))]. 2603 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2596(a,2),2526(a,1,2))]. 2604 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(180,a,2597,a)]. 2605 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(203(a,1),2599(a,1,2,2)),flip(a)]. 2606 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(357(a,1),2599(a,1,2,2)),flip(a)]. 2607 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(361(a,1),2599(a,1,2,2)),flip(a)]. 2608 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2599(a,1),1878(a,2,2))]. 2609 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(87(a,1),2605(a,1,1))]. 2610 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(87(a,1),2604(a,1,1,1,1)),flip(a)]. 2611 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(451(a,1),2610(a,2,1,1))]. 2612 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(453(a,1),2610(a,2,1,1))]. 2613 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(1899(a,2),2610(a,1,1))]. 2614 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,2362,a,b,2606,a)]. 2615 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,1603,a,b,2606,a)]. 2616 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(124,a,2607,a(flip),b,1917,a),flip(a)]. 2617 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2615(a,1),1911(a,1,2)),flip(a)]. 2618 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(37,a,1874,a,b,2614,a)]. 2619 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(285,a,625,a(flip),b,2618,a),flip(a)]. 2620 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(122,a,2618,a(flip),b,243,a(flip))]. 2621 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(78(a,1),2618(a,2,1))]. 2622 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2618(a,1),2500(a,1,2))]. 2623 T(x \ 1,y * K(x,x \ 1)) = T(x \ 1,y). [para(2621(a,1),2431(a,1,2,2))]. 2627 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2490(a,1),2617(a,1,2))]. 2628 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(66,a,2506,a,b,2627,a)]. 2629 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(66,a,2502,a,b,2619,a)]. 2630 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(285,a,2487,a(flip),b,2629,a),flip(a)]. 2631 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2629(a,1),2521(a,2,1)),flip(a)]. 2633 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1947(a,1),2630(a,1,1))]. 2634 K((x * y) \ x,y) = K(y \ 1,y). [hyper(66,a,2493,a(flip),b,2631,a),flip(a)]. 2636 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(116(a,1),2634(a,1,1,1)),flip(a)]. 2637 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(27(a,1),2636(a,2,2)),flip(a)]. 2638 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(744(a,1),2636(a,2,1,1))]. 2639 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(285,a,1947,a(flip),b,2633,a),flip(a)]. 2640 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2639(a,1),1106(a,1,2)),flip(a)]. 2641 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(123,a,16,a(flip),b,2640,a),flip(a)]. 2643 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(136,a,2641,a)]. 2644 ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). [para(2423(a,1),2641(a,1,1))]. 2645 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(66,a,1231,a,b,2643,a)]. 2646 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(16(a,1),2643(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(136,a,2645,a)]. 2648 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(66,a,153,a(flip),b,2645,a),flip(a)]. 2649 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2416,a,2646,a)]. 2650 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1105,a,2646,a)]. 2651 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2650(a,1,3))]. 2652 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(66,a,1930,a(flip),b,2651,a)]. 2653 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2651(a,1),1929(a,1,1)),flip(a)]. 2654 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2416,a,2648,a)]. 2656 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(285,a,886,a(flip),b,2649,a),flip(a)]. 2658 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(66,a,1982,a(flip),b,2652,a)]. 2659 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2401,a,2653,a)]. 2660 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(66,a,2616,a(flip),b,2658,a)]. 2661 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(122,a,2658,a(flip),b,2616,a(flip)),flip(a)]. 2662 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2656(a,1),2330(a,1,2)),flip(a)]. 2663 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(87(a,1),2660(a,1,2,2,2,2)),flip(a)]. 2664 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(180,a,2661,a)]. 2665 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(87(a,1),2661(a,2,2,2,2))]. 2666 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(14(a,1),2663(a,2,2,2,2))]. 2667 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(181(a,1),2664(a,1,1,2,2)),flip(a)]. 2668 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2609(a,2),2666(a,1,2))]. 2669 x / L(y,y \ 1,x) = x * (1 / y). [para(87(a,1),2668(a,2,2,2))]. 2671 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(554,a,2669,a)]. 2672 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2669(a,2),625(a,1,1,2))]. 2673 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(87(a,1),2671(a,1,2)),flip(a)]. 2674 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(117(a,2),2673(a,1,2))]. 2675 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2674(a,1),2613(a,2,1,1))]. 2676 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(66,a,2292,a,b,2672,a)]. 2677 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(66,a,2289,a,b,2672,a)]. 2678 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(66,a,106,a,b,2677,a)]. 2679 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(90(a,1),2677(a,1,2))]. 2680 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(180,a,2667,a)]. 2682 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(66,a,2497,a,b,2680,a)]. 2683 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(124,a,2497,a,b,2680,a(flip))]. 2684 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [hyper(124,a,2682,a(flip),b,27,a(flip))]. 2685 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2447,a,2683,a)]. 2686 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(66,a,2424,a,b,2683,a)]. 2687 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(16(a,1),2685(a,1,1)),flip(a)]. 2688 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2685(a,1),1458(a,1,1))]. 2689 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(136,a,2687,a)]. 2690 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2376(a,2),2687(a,1,2))]. 2691 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(16(a,1),2688(a,1,1)),flip(a)]. 2692 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(117(a,2),2688(a,1,1,2))]. 2693 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(611(a,1),2688(a,1,1)),flip(a)]. 2694 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(924(a,1),2688(a,1,1)),flip(a)]. 2695 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2689(a,1),47(a,1)),flip(a)]. 2697 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2409(a,2),2689(a,1,1))]. 2698 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2646(a,1),2689(a,1,1))]. 2699 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(38,a,481,a,b,2691,a),flip(a)]. 2700 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2691(a,1),2647(a,1,1)),flip(a)]. 2701 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(135,a,2692,a)]. 2702 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2416,a,2693,a)]. 2703 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2342(a,1),2693(a,1,1))]. 2704 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2697(a,1),47(a,1)),flip(a)]. 2706 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(482,a,2699,a)]. 2707 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2699(a,1),202(a,1,2)),flip(a)]. 2708 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1959(a,2),2699(a,1,2))]. 2709 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(66,a,2699,a(flip),b,2698,a),flip(a)]. 2710 R(x,y \ 1,y) / y = x * (1 / y). [hyper(123,a,2699,a(flip),b,2698,a(flip))]. 2712 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2709,a)]. 2713 R(x / (1 / y),y \ 1,y) = x * y. [hyper(293,a,2709,a),flip(a)]. 2714 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2709(a,1),206(a,1,2))]. 2716 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2085(a,1),2709(a,1,1))]. 2717 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2647(a,1),2709(a,1,1)),flip(a)]. 2718 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(285,a,2706,a,b,2712,a)]. 2719 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(66,a,572,a(flip),b,2712,a),flip(a)]. 2720 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(87(a,1),2712(a,1,2)),flip(a)]. 2721 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2713(a,1),1662(a,1,1,2))]. 2722 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2714(a,1),2525(a,1,1))]. 2723 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1899(a,2),2718(a,1,3))]. 2724 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1974(a,1),2700(a,1,1))]. 2725 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(285,a,2714,a(flip),b,2707,a),flip(a)]. 2726 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(87(a,1),2676(a,2,1)),flip(a)]. 2728 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(886(a,2),2726(a,2,1))]. 2729 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2726(a,2),1084(a,2,2))]. 2730 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1431(a,1),2717(a,2,1))]. 2731 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2637(a,1),2622(a,1,2)),flip(a)]. 2732 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(122,a,2600,a(flip),b,244,a)]. 2733 (x \ 1) * (1 / (1 / ((x \ 1) \ y))) = x \ (1 / (1 / (x * y))). [hyper(122,a,2601,a(flip),b,242,a),flip(a)]. 2734 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(122,a,2611,a(flip),b,244,a)]. 2735 L(x / (y \ 1),y \ 1,y) = L(x,y,y \ 1) / (1 / y). [hyper(66,a,791,a(flip),b,2644,a)]. 2736 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(901(a,1),2679(a,1,1))]. 2737 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(66,a,792,a(flip),b,2736,a),flip(a)]. 2738 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(136,a,2737,a(flip))]. 2739 T(K(1 / (1 / x),y),x) = K(x,y). [para(2737(a,2),208(a,1,1))]. 2740 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(249(a,1),2739(a,1,1,1,2))]. 2741 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2739(a,1),919(a,2,2))]. 2742 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(66,a,1694,a,b,2738,a)]. 2743 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(87(a,1),2740(a,1,1,1))]. 2745 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(66,a,2022,a(flip),b,2743,a),flip(a)]. 2746 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(117(a,1),2745(a,1,1)),flip(a)]. 2747 x * K((x \ 1) \ 1,y) = K(x,y) * x. [hyper(124,a,2746,a(flip),b,27,a(flip))]. 2748 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(90(a,1),2747(a,1,2,1,1)),flip(a)]. 2749 L(1 / (1 / x),y / x,1 / y) \ ((1 / x) \ 1) = x * ((1 / y) * (y / x)). [para(707(a,1),2598(a,2,2))]. 2750 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2675(a,1),1933(a,1,2))]. 2751 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2750(a,1),1404(a,2,1,2))]. 2752 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(87(a,1),2723(a,2,2))]. 2754 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(117(a,2),2752(a,1,2))]. 2755 x * K(x \ (y \ 1),(y \ 1) \ x) = y \ (1 / (1 / (y * x))). [hyper(66,a,2627,a,b,2733,a)]. 2756 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(285,a,2622,a,b,2734,a),flip(a)]. 2757 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2742(a,1),2741(a,1,1,2))]. 2758 (1 / x) \ K(x,y) = K(x,y) * x. [para(14(a,1),2757(a,1,1)),flip(a)]. 2761 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2484(a,2),2612(a,1,1))]. 2762 K(x,y) / (x \ 1) = x * K(x,y). [para(2728(a,2),2729(a,1,1))]. 2763 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(136,a,2762,a)]. 2764 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(285,a,625,a(flip),b,2751,a),flip(a)]. 2766 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(117(a,1),2764(a,2,1))]. 2767 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(203(a,1),2766(a,1,2,1))]. 2769 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2767(a,1),2346(a,1))]. 2770 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2713(a,1),2721(a,1,2,2))]. 2771 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(66,a,695,a(flip),b,2761,a)]. 2772 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(66,a,566,a(flip),b,2761,a)]. 2773 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(78(a,1),2772(a,2,1,1))]. 2774 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(19(a,2),2771(a,1,1))]. 2775 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(285,a,1848,a(flip),b,2724,a),flip(a)]. 2777 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(123,a,87,a(flip),b,2775,a),flip(a)]. 2778 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(87(a,1),2777(a,1,2)),flip(a)]. 2780 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2778(a,1),1466(a,1,2,1,2))]. 2781 (1 / ((1 / x) * (x / y))) \ ((1 / y) \ 1) = y * ((1 / x) * (x / y)). [para(2602(a,1),2749(a,1,1))]. 2782 (1 / ((1 / x) * (x / y))) \ y = y * ((1 / x) * (x / y)). [para(90(a,1),2781(a,1,2))]. 2783 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(265,a,2603,a),flip(a)]. 2784 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(15(a,1),2783(a,1,2,2,2,2))]. 2786 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2662(a,2),888(a,1))]. 2787 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(23(a,2),2774(a,1,2,2))]. 2788 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(19(a,2),2787(a,2,1,1))]. 2789 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1036(a,1),2638(a,2,1))]. 2790 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2519,a(flip),b,2789,a),flip(a)]. 2791 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(14(a,1),2780(a,1,2,1)),flip(a)]. 2792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(25(a,2),1605(a,2,2,1,1))]. 2793 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1550(a,1),2792(a,1,1))]. 2794 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1586(a,1),2793(a,1,1,1))]. 2795 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(479,a,2794,a),flip(a)]. 2796 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(693(a,1),2795(a,2,1,2))]. 2797 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1627(a,1),2795(a,1,2))]. 2798 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1162(a,1),2796(a,1,2))]. 2799 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(186(a,1),2798(a,2,1,2))]. 2800 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1903(a,2),2799(a,2,1))]. 2801 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(13(a,1),2797(a,1,2,2)),flip(a)]. 2802 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(112(a,1),2046(a,1,1,1,2,2)),flip(a)]. 2803 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(285,a,798,a(flip),b,2802,a),flip(a)]. 2804 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(285,a,2043,a(flip),b,2803,a),flip(a)]. 2805 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(798(a,1),2804(a,1,1))]. 2806 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2045(a,1),2805(a,2,1))]. 2807 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(38,a,112,a,b,2806,a),flip(a)]. 2808 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1538,a,2807,a),flip(a)]. 2809 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(15(a,1),2807(a,1,2,1)),flip(a)]. 2810 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,1903,a,b,2809,a),flip(a)]. 2811 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1150(a,1),2810(a,1,1,2,1))]. 2812 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2791(a,1),1165(a,1,1,2))]. 2813 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(17(a,1),2812(a,1,1,2))]. 2815 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1157(a,1),2813(a,1,1)),flip(a)]. 2817 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(883(a,1),2205(a,2,1,2))]. 2818 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(901(a,1),1394(a,2,1))]. 2819 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(14(a,1),2818(a,1,2,1)),flip(a)]. 2820 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(285,a,826,a(flip),b,2819,a),flip(a)]. 2821 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2030(a,1),2820(a,1,1))]. 2822 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2487(a,1),2821(a,1,1))]. 2823 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2822,a(flip),b,2398,a(flip))]. 2825 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(66,a,2608,a,b,2823,a)]. 2827 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2825(a,1),1284(a,1,2)),flip(a)]. 2828 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2485(a,1),2827(a,1,2)),flip(a)]. 2830 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2401,a,2828,a)]. 2831 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(293,a,2828,a),flip(a)]. 2832 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(66,a,1979,a,b,2828,a)]. 2833 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(116(a,1),2828(a,1,1))]. 2835 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(285,a,280,a,b,2830,a),flip(a)]. 2836 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [para(17(a,1),2830(a,1,2)),flip(a)]. 2837 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(123,a,338,a(flip),b,2832,a),flip(a)]. 2838 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(38,a,2698,a(flip),b,2832,a),flip(a)]. 2839 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(38,a,2697,a(flip),b,2832,a),flip(a)]. 2840 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(38,a,2689,a(flip),b,2832,a),flip(a)]. 2841 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2704,a,2832,a(flip))]. 2842 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2695,a,2832,a(flip))]. 2844 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1888(a,2),2832(a,2,2))]. 2845 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2401,a,2839,a)]. 2846 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(38,a,2653,a,b,2839,a),flip(a)]. 2847 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(38,a,2398,a(flip),b,2839,a),flip(a)]. 2848 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(38,a,2024,a(flip),b,2839,a),flip(a)]. 2849 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2654(a,1),2839(a,1,1))]. 2850 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2401,a,2840,a)]. 2851 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(293,a,2840,a),flip(a)]. 2852 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(287,a,2840,a)]. 2853 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(38,a,2653,a,b,2840,a),flip(a)]. 2854 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(38,a,2398,a(flip),b,2840,a),flip(a)]. 2855 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2841(a,1),46(a,1)),flip(a)]. 2856 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2841(a,1),105(a,2,1))]. 2857 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(303,a,2845,a),flip(a)]. 2858 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2845(a,1),46(a,1)),flip(a)]. 2859 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2845(a,1),2449(a,1)),flip(a)]. 2860 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2649(a,1),2845(a,1,2))]. 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2654(a,1),2845(a,1,2))]. 2862 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2847(a,1),46(a,1)),flip(a)]. 2863 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2847(a,1),2411(a,1)),flip(a)]. 2864 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(66,a,2640,a,b,2851,a)]. 2865 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2854(a,1),113(a,2,1))]. 2866 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2854(a,1),2647(a,1,1)),flip(a)]. 2867 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2857(a,1),2317(a,1,2,1))]. 2868 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2268,a,2835,a)]. 2869 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(285,a,1960,a(flip),b,2835,a),flip(a)]. 2870 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2835(a,2),1961(a,1))]. 2871 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2836(a,1),2703(a,1,1,1))]. 2872 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2838(a,1),469(a,1,1))]. 2873 K(x / (y * x),y) = K(y \ 1,y). [hyper(38,a,2018,a,b,2848,a)]. 2874 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(66,a,2546,a,b,2873,a)]. 2875 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(17(a,1),2873(a,1,1,2)),flip(a)]. 2877 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(16(a,1),2875(a,2,1))]. 2878 L(x,K(x,x \ 1),y) = x. [hyper(445,a,2844,a)]. 2879 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2878(a,1,2))]. 2880 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2879(a,1),2529(a,1,1)),flip(a)]. 2883 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2874(a,1),1888(a,1,1))]. 2884 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(285,a,2543,a(flip),b,2877,a),flip(a)]. 2886 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2884(a,1),1958(a,1,1))]. 2887 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2405,a,2886,a)]. 2888 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2886,a),flip(a)]. 2889 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(123,a,2886,a(flip),b,1999,a(flip))]. 2890 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(242(a,1),2886(a,1,2))]. 2892 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2887,a),flip(a)]. 2893 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(303,a,2888,a),flip(a)]. 2894 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(66,a,2857,a,b,2888,a)]. 2895 K(x * y,(x * y) \ 1) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(96(a,1),2888(a,1,2))]. 2896 R(x,K(x,x \ 1),y) = x. [hyper(1969,a,2889,a)]. 2897 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [para(2889(a,1),269(a,1,1)),flip(a)]. 2899 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2896(a,1,2))]. 2900 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2899(a,1),2299(a,1,1)),flip(a)]. 2901 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(66,a,2256,a(flip),b,2892,a)]. 2903 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(2892(a,1),2623(a,1,2))]. 2905 ((x \ 1) \ 1) * (x \ y) = (y / x) * ((x \ 1) \ 1). [hyper(285,a,2836,a,b,2893,a),flip(a)]. 2906 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(122,a,2845,a(flip),b,2893,a),flip(a)]. 2907 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1995,a(flip),b,2893,a),flip(a)]. 2908 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2858,a,2897,a)]. 2909 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(117(a,1),2897(a,1,2,1))]. 2910 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(90(a,1),2901(a,2,1,1))]. 2911 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2839(a,1),2901(a,1,2)),flip(a)]. 2912 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [para(2838(a,1),2901(a,1,2)),flip(a)]. 2913 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(117(a,2),2906(a,2,1))]. 2914 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2621(a,1),2906(a,1,2,1))]. 2915 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(117(a,1),2908(a,2,1))]. 2916 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2908(a,1),2278(a,1,2))]. 2917 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(324(a,1),2916(a,1,2,1)),flip(a)]. 2918 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(122,a,90,a(flip),b,2909,a)]. 2919 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(642,a,2911,a)]. 2920 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(128,a,2911,a)]. 2921 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(122,a,2911,a(flip),b,2425,a(flip))]. 2922 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2686(a,1),2911(a,1,2))]. 2923 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(124,a,993,a(flip),b,2913,a)]. 2924 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2913(a,1),1790(a,1,2,2))]. 2925 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2409(a,1),2913(a,1,2))]. 2926 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(122,a,2915,a(flip),b,1140,a(flip)),flip(a)]. 2927 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2915(a,1),2697(a,1,1))]. 2929 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [hyper(124,a,2500,a(flip),b,2921,a)]. 2930 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(90(a,1),2926(a,2,2,1,1))]. 2932 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(87(a,1),2922(a,2,2))]. 2933 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(66,a,2848,a(flip),b,2883,a)]. 2934 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(205(a,2),2933(a,2,1,1)),flip(a)]. 2935 ((((x * y) / (R(z,x,y) * (x * y))) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2933(a,1),485(a,1,1))]. 2938 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1947(a,1),2910(a,1,2,2))]. 2939 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2265,a,2938,a)]. 2940 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(285,a,2407,a,b,2938,a)]. 2941 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(122,a,15,a(flip),b,2938,a),flip(a)]. 2942 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(66,a,2425,a,b,2938,a)]. 2944 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2648(a,1),2938(a,1,2))]. 2945 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2842(a,1),2938(a,1,2)),flip(a)]. 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2854(a,1),2938(a,1,2)),flip(a)]. 2947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2939,a)]. 2948 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2416,a,2939,a)]. 2949 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(513,a,2939,a),flip(a)]. 2950 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(38,a,2842,a,b,2939,a)]. 2951 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(38,a,2423,a,b,2939,a),flip(a)]. 2953 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(123,a,2939,a(flip),b,2409,a)]. 2954 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2939(a,1),2431(a,1,2)),flip(a)]. 2955 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2939(a,1),2411(a,2)),flip(b)]. 2956 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2939(a,1),2689(a,1,1))]. 2957 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2951,a)]. 2958 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(303,a,2951,a),flip(a)]. 2959 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(135,a,2951,a)]. 2960 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(128,a,2951,a)]. 2961 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(66,a,1082,a(flip),b,2951,a),flip(a)]. 2962 L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y. [para(17(a,1),2951(a,1,2)),flip(a)]. 2963 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(116(a,1),2951(a,1,2)),flip(a)]. 2964 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(242(a,1),2951(a,1,2)),flip(a)]. 2965 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(2951(a,1),204(a,1,1))]. 2966 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2951(a,1),273(a,1,1))]. 2967 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(1000(a,1),2951(a,1,2)),flip(a)]. 2968 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1246(a,1),2951(a,1,2)),flip(a)]. 2969 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(87(a,1),2957(a,1,3)),flip(a)]. 2970 L(x,1 / y,K(y \ 1,y)) = x. [hyper(2027,a,2958,a),flip(a)]. 2971 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2958(a,1),585(a,1,2))]. 2972 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2958(a,1),1830(a,2,1,2))]. 2973 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2970(a,1,3))]. 2974 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2973(a,1),2098(a,1,2)),flip(a)]. 2975 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2941,a)]. 2976 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(2416,a,2941,a)]. 2977 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(38,a,2842,a,b,2941,a)]. 2979 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2941(a,1),2647(a,1,1))]. 2980 K(x \ 1,x) * K(y \ (x \ 1),y) = (1 / x) \ ((y \ (x \ 1)) * y). [hyper(122,a,271,a(flip),b,2942,a),flip(a)]. 2982 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(285,a,1505,a(flip),b,2946,a),flip(a)]. 2983 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(552,a,2947,a)]. 2984 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(303,a,2947,a),flip(a)]. 2987 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2947(a,1),304(a,1,2)),flip(b)]. 2988 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2947(a,1),178(a,1,1,2))]. 2989 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2947(a,1),447(a,1,2,2))]. 2990 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(552,a,2948,a)]. 2991 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(303,a,2948,a),flip(a)]. 2992 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2948(a,1),25(a,2,2)),flip(a)]. 2993 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2948(a,1),501(a,1,1))]. 2994 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2948(a,1),442(a,1,1))]. 2995 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2948(a,1),2919(a,1,2))]. 2996 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1364(a,1),2953(a,1,2))]. 2997 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2859,a,2974,a)]. 2998 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2858,a,2974,a)]. 2999 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),2974(a,1,2))]. 3000 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2974(a,1),2866(a,1,1)),flip(a)]. 3001 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(122,a,2975,a(flip),b,2893,a)]. 3002 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1130(a,1),2975(a,1,2))]. 3003 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2381(a,1),2976(a,2,1))]. 3004 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(285,a,2325,a(flip),b,2983,a),flip(a)]. 3005 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [hyper(124,a,1181,a(flip),b,2990,a),flip(a)]. 3006 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2990(a,1),1418(a,1,2,2,1,2))]. 3007 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2618(a,1),2997(a,1,2))]. 3008 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(303,a,2998,a),flip(a)]. 3009 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(66,a,1453,a(flip),b,2998,a)]. 3010 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(123,a,2998,a(flip),b,1453,a(flip))]. 3012 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(285,a,2846,a(flip),b,3008,a),flip(a)]. 3013 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(122,a,15,a(flip),b,3009,a),flip(a)]. 3014 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(66,a,2425,a(flip),b,3009,a)]. 3015 R(x,K(x \ 1,x),y) = x. [hyper(1885,a,3010,a)]. 3017 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3015(a,1),471(a,1,1,1)),flip(a)]. 3018 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3013(a,1),2697(a,1,1)),flip(a)]. 3019 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2758(a,1),3013(a,1,2))]. 3020 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [hyper(285,a,2997,a,b,3014,a)]. 3021 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(285,a,2407,a,b,2944,a)]. 3022 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2203,a,2956,a),flip(a)]. 3023 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3000(a,1,1)),flip(a)]. 3024 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2379(a,2),3001(a,1,1))]. 3025 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(17(a,1),3012(a,1,2,2))]. 3026 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(27(a,2),3012(a,1,2))]. 3027 T(x,1 / (1 / y)) = T(x,y). [hyper(376,a,3026,a),flip(a)]. 3028 T(x,1 / y) = T(x,y \ 1). [para(87(a,1),3027(a,1,2,2))]. 3029 T(x,(y \ 1) \ 1) = T(x,y). [para(181(a,1),3027(a,1,2)),flip(a)]. 3031 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(66,a,725,a(flip),b,3028,a),flip(a)]. 3032 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(124,a,3028,a(flip),b,27,a(flip))]. 3033 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3028(a,1),923(a,2,1))]. 3034 T(x,T(y,y \ 1)) = T(x,y). [para(117(a,2),3029(a,1,2))]. 3035 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1899(a,2),3029(a,1,2))]. 3036 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2379(a,2),3029(a,1,2))]. 3037 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2383(a,1),3029(a,1,2)),flip(a)]. 3038 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2484(a,2),3029(a,1,2))]. 3041 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2934(a,1),3029(a,1,2)),flip(a)]. 3044 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(124,a,3034,a(flip),b,27,a(flip))]. 3045 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3034(a,1),614(a,1,2))]. 3046 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(78(a,2),3032(a,2,2))]. 3048 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3044(a,1),2565(a,2,1))]. 3049 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3045(a,2),543(a,2,1))]. 3050 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2984(a,1),3031(a,1,1,1))]. 3051 R(x,y,K(x \ 1,x)) = x. [hyper(475,a,3020,a)]. 3052 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1904(a,1),3051(a,1,3))]. 3053 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(3052(a,1),36(a,1,1)),flip(a)]. 3054 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(87(a,1),3033(a,1,1,2)),flip(a)]. 3055 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2874(a,1),2918(a,1,1))]. 3057 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2964(a,2),1827(a,1,1))]. 3058 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2933(a,2),3055(a,2,1)),flip(a)]. 3059 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(285,a,2894,a(flip),b,3058,a),flip(a)]. 3060 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(555,a,3059,a)]. 3061 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(285,a,281,a,b,3059,a),flip(a)]. 3062 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(185,a,3059,a),flip(a)]. 3063 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(90(a,1),3059(a,1,1,1))]. 3064 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(185,a,3061,a)]. 3065 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3062(a,2),118(a,1,1))]. 3066 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3060(a,2),3041(a,2,2)),flip(a)]. 3067 R(x,1 / x,y) \ y = (x \ 1) * y. [para(90(a,1),3063(a,2,1,1))]. 3068 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(555,a,3067,a),flip(a)]. 3069 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3068(a,1),1886(a,1,1))]. 3070 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(66,a,1886,a(flip),b,3069,a),flip(a)]. 3071 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(66,a,368,a(flip),b,3070,a),flip(a)]. 3072 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3071(a,2),99(a,1,2,2))]. 3073 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2395(a,1),2833(a,1,2))]. 3074 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(285,a,2382,a(flip),b,3073,a),flip(a)]. 3075 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(37,a,2929,a,b,2932,a),flip(a)]. 3077 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(66,a,2869,a(flip),b,3002,a),flip(a)]. 3078 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3077,a),flip(a)]. 3079 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3078(a,1),2811(a,1,1))]. 3080 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2907(a,1),3004(a,1,2))]. 3081 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2495(a,1),3007(a,1,2))]. 3082 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(445,a,3017,a)]. 3083 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2748(a,1),3019(a,1,2))]. 3084 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(66,a,2948,a(flip),b,3083,a)]. 3085 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3084(a,1),2763(a,1,1))]. 3086 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(99(a,2),3085(a,1,1,2))]. 3087 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(3002(a,1),2870(a,1))]. 3088 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(285,a,2995,a(flip),b,2890,a),flip(a)]. 3089 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1918,a,3088,a)]. 3090 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(87(a,1),3089(a,1,2)),flip(a)]. 3091 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(539,a,3090,a),flip(a)]. 3092 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(3090(a,1),2589(a,1,2))]. 3093 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2921(a,1),3091(a,1,1))]. 3094 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2949(a,2),3093(a,1,1))]. 3095 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2967(a,1),2972(a,1,2))]. 3096 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(13(a,1),3095(a,2,1,2))]. 3097 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1903(a,2),3096(a,2,1))]. 3098 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(122,a,2394,a(flip),b,3097,a)]. 3099 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2868(a,1),3050(a,1,1))]. 3100 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,32,a,b,3065,a)]. 3101 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2903(a,1),3100(a,1,1))]. 3102 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,980,a(flip),b,3101,a)]. 3103 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(90(a,1),3102(a,2,1,1,1))]. 3104 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(117(a,2),3102(a,2,1,1)),flip(a)]. 3105 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(285,a,2940,a,b,2880,a)]. 3107 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1906(a,1),3081(a,1,2))]. 3108 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3105(a,2),2678(a,1,2))]. 3109 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2271(a,1),2993(a,1,2))]. 3110 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3109(a,1),1397(a,2,2,1,2)),flip(a)]. 3112 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3021(a,1),3108(a,1,2))]. 3113 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2835(a,1),2867(a,1,2,1))]. 3114 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2416,a,2871,a)]. 3115 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(285,a,464,a,b,3023,a)]. 3116 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3112(a,1),3086(a,1,1,2))]. 3117 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(66,a,3085,a(flip),b,3116,a),flip(a)]. 3118 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(16(a,1),3117(a,1,2)),flip(a)]. 3119 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1233(a,1),3118(a,1,2))]. 3120 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2864(a,1),3119(a,1,2))]. 3121 K(x \ 1,K(x \ 1,x) * y) = K(x \ 1,y). [para(2839(a,1),3120(a,1,2)),flip(a)]. 3122 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2892(a,1),3120(a,1,2))]. 3124 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2968(a,1),3092(a,1,2))]. 3125 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(87(a,1),3124(a,2,1,2,2))]. 3127 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1903(a,2),3125(a,2,1))]. 3128 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2665(a,1),3107(a,2,1))]. 3129 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3128(a,1),2730(a,1,1))]. 3130 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2398(a,1),3114(a,1,2,1))]. 3131 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(207(a,1),3048(a,2,1))]. 3132 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(285,a,348,a(flip),b,3131,a),flip(a)]. 3135 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [hyper(124,a,3132,a(flip),b,97,a),flip(a)]. 3136 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(285,a,13,a(flip),b,3135,a),flip(a)]. 3137 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3136(a,1),294(a,1,1)),flip(b)]. 3138 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3137,a,2574,a)]. 3139 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(122,a,3138,a(flip),b,2195,a)]. 3140 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(90(a,1),3138(a,1,2))]. 3141 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1086(a,1),3140(a,1,1))]. 3142 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1635(a,1),3141(a,1,1)),flip(a)]. 3143 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(883(a,1),3129(a,2,1,2))]. 3144 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(66,a,2924,a(flip),b,2923,a)]. 3145 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1904(a,1),3003(a,1,1))]. 3147 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(901(a,1),2996(a,1,2,1))]. 3148 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(3006(a,1),3147(a,1,1))]. 3149 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(136,a,3148,a)]. 3150 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3149(a,1),2329(a,1,2))]. 3151 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(305,a,3150,a),flip(a)]. 3152 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2786,a,3151,a),flip(a)]. 3155 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [hyper(66,a,2395,a,b,3152,a)]. 3156 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3152(a,1),3074(a,1,2))]. 3157 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(37,a,2892,a,b,3156,a),flip(a)]. 3158 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(66,a,3155,a,b,3157,a)]. 3163 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(122,a,3158,a(flip),b,1903,a(flip))]. 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3158(a,1),3145(a,1,1))]. 3165 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1908,a,3163,a)]. 3166 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(66,a,2399,a(flip),b,3163,a)]. 3167 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(122,a,3163,a(flip),b,3098,a(flip))]. 3168 (T(x,y) \ x) \ x = T(x,y). [hyper(2357,a,3166,a)]. 3169 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(136,a,3166,a)]. 3170 x / T(x,y) = T(x,y) \ x. [hyper(185,a,3168,a)]. 3171 (T(x,y) \ x) * T(x,y) = x. [hyper(138,a,3168,a)]. 3175 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(66,a,1717,a,b,3170,a)]. 3176 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3170(a,1),1779(a,1,1))]. 3177 L(x,T(x,y) \ x,x) = x. [hyper(66,a,2129,a,b,3171,a)]. 3179 (x * y) * T(K(y,x),x) = y * x. [para(3177(a,1),2128(a,1,2)),flip(a)]. 3180 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(224,a,3169,a,b,1000,a)]. 3183 T(K(x,y),y) = K(x,y). [hyper(275,a,3179,a),flip(a)]. 3184 (x * K(y,x)) / x = K(y,x). [hyper(254,a,3183,a)]. 3185 T(x,K(y,x)) = x. [hyper(57,a,3183,a)]. 3186 K(x,y) * y = y * K(x,y). [hyper(124,a,3183,a(flip),b,27,a(flip)),flip(a)]. 3188 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3183(a,1),222(a,1,2,1)),flip(a)]. 3189 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3183(a,1),679(a,1,2,1))]. 3190 T(x,K(y,R(x,z,u))) = x. [hyper(148,a,3185,a)]. 3191 T(T(x,y),K(z,x)) = T(x,y). [para(3185(a,1),28(a,1,1)),flip(a)]. 3193 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3185(a,1),221(a,1,2,1)),flip(a)]. 3194 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3185(a,1),222(a,1,2,1)),flip(a)]. 3195 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3185(a,1),223(a,1,2,1)),flip(a)]. 3196 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3185(a,1),383(a,1,2,1))]. 3199 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3185(a,1),415(a,1,2,1,1)),flip(a)]. 3200 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3185(a,1),591(a,1,2,1,1)),flip(a)]. 3201 T(x,y * T(y \ 1,x)) = x. [para(1110(a,1),3185(a,1,2))]. 3202 T(x,y \ T(y,x)) = x. [para(1114(a,1),3185(a,1,2))]. 3203 T(x,x \ ((y * x) / y)) = x. [para(1285(a,1),3185(a,1,2))]. 3204 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3185(a,1),2282(a,1,1,1)),flip(a)]. 3205 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3185(a,1),2333(a,1,2,1)),flip(a)]. 3206 (x \ T(x,y)) * y = y * (x \ T(x,y)). [hyper(124,a,3202,a(flip),b,27,a(flip))]. 3207 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3190(a,1),28(a,1,1)),flip(a)]. 3208 L(K(x,y),y,1 / y) = K(x,y). [hyper(66,a,2209,a,b,3184,a)]. 3209 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(66,a,1185,a,b,3184,a)]. 3210 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3184(a,1),489(a,1,1)),flip(a)]. 3211 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3184(a,1),837(a,1,1,1)),flip(a)]. 3212 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [hyper(124,a,3186,a(flip),b,176,a)]. 3213 T(K(x,y),T(y,z)) = K(x,y). [hyper(57,a,3191,a)]. 3214 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3191(a,1),383(a,1,2,1))]. 3215 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(57,a,3201,a)]. 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3203(a,1),249(a,1,2))]. 3217 K(K(x,y),T(y,z)) = 1. [hyper(58,a,3213,a)]. 3219 K(x \ T(x,y),T(y,z)) = 1. [para(1114(a,1),3217(a,1,1))]. 3220 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(59,a,3219,a)]. 3221 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(123,a,3208,a(flip),b,244,a)]. 3222 (1 / x) \ K(y,x) = x * K(y,x). [hyper(122,a,3208,a(flip),b,244,a)]. 3223 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(66,a,2434,a,b,3180,a)]. 3224 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(39,a,172,a,b,3221,a),flip(a)]. 3226 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3165(a,1),3080(a,1,2))]. 3227 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3176(a,1),105(a,2,1)),flip(a)]. 3228 x * (((y * x) / y) / x) = (y * x) / y. [hyper(124,a,3216,a,b,xx)]. 3230 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(1328,a,3216,a(flip))]. 3231 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(795(a,1),3216(a,1,1)),flip(a)]. 3232 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(136,a,3223,a)]. 3235 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(339,a,3232,a)]. 3237 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3232(a,1),1100(a,1,2))]. 3238 K(T(x \ 1,y) \ 1,T(x \ 1,y)) = K(x,x \ 1). [hyper(285,a,2621,a(flip),b,3235,a),flip(a)]. 3239 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(66,a,2790,a(flip),b,3235,a),flip(a)]. 3240 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3235(a,1),2386(a,1,2))]. 3241 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3235(a,1),2690(a,2,2))]. 3242 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3235(a,1),2731(a,2,2))]. 3243 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3235(a,1),3082(a,1,2))]. 3244 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3243(a,1),2563(a,1,2)),flip(a)]. 3245 T(x,L(K(y,x),z,u)) = x. [hyper(225,a,3188,a)]. 3246 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(225,a,3194,a)]. 3247 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(3246(a,1),219(a,1,1,2))]. 3248 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3195(a,1),46(a,1)),flip(a)]. 3249 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3195(a,2),444(a,1,1,2))]. 3250 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3215(a,1),1392(a,1,2)),flip(a)]. 3251 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(66,a,3167,a(flip),b,3226,a),flip(a)]. 3252 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(66,a,2325,a,b,3251,a)]. 3253 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(124,a,3251,a(flip),b,2325,a)]. 3254 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(32(a,2),3251(a,1,1,2))]. 3255 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3251(a,1),82(a,1,2,2))]. 3256 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(118(a,1),3251(a,1,1,2)),flip(a)]. 3257 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1547(a,1),3251(a,1,1,2)),flip(a)]. 3258 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(262,a,3255,a)]. 3259 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [hyper(124,a,3237,a,b,1008,a)]. 3261 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(66,a,2884,a(flip),b,3239,a),flip(a)]. 3262 K(x / y,y / x) = K(y \ x,x \ y). [hyper(66,a,2875,a(flip),b,3239,a)]. 3263 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(66,a,2545,a,b,3262,a)]. 3264 x * (T(x,y) / x) = T(x,y). [hyper(38,a,2114,a,b,3240,a)]. 3266 T(x,y) / x = x \ T(x,y). [hyper(128,a,3264,a),flip(a)]. 3267 (x \ T(x,y)) * x = T(x,y). [para(3264(a,1),91(a,1,1,2))]. 3268 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(910,a,3266,a),flip(a)]. 3269 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(902,a,3266,a)]. 3270 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(66,a,1500,a(flip),b,3266,a),flip(a)]. 3271 T(x,x \ T(x,y)) = x. [hyper(39,a,249,a,b,3266,a)]. 3272 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3266(a,1),113(a,1,1))]. 3273 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3266(a,1),489(a,1,1))]. 3274 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3266(a,1),2038(a,1,1))]. 3275 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3266(a,1),2212(a,1,1,2))]. 3276 K(x,x \ T(x,y)) = 1. [hyper(58,a,3271,a)]. 3277 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3271(a,1),221(a,1,2,1)),flip(a)]. 3278 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1114(a,2),3271(a,1,2))]. 3279 K(x,T(x,y) / x) = 1. [para(3266(a,2),3276(a,1,2))]. 3280 T(1 / x,T(x,y)) = x \ 1. [hyper(122,a,3279,a(flip),b,1068,a),flip(a)]. 3281 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(66,a,1519,a,b,3267,a)]. 3282 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3267(a,1),23(a,2,1)),flip(a)]. 3283 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3267(a,1),103(a,1,1))]. 3284 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3267(a,1),479(a,1,1,1))]. 3285 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1114(a,2),3267(a,1,1)),flip(a)]. 3286 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(66,a,1503,a(flip),b,3280,a)]. 3287 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(87(a,1),3280(a,1,1))]. 3288 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3280(a,1),231(a,1,1)),flip(a)]. 3289 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3280(a,1),370(a,2,1))]. 3290 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3280(a,1),1116(a,1,1)),flip(a)]. 3291 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1138,a,3278,a)]. 3292 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(124,a,3278,a(flip),b,1137,a(flip))]. 3293 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(285,a,117,a,b,3287,a),flip(a)]. 3295 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3288(a,1),1396(a,1,1,2)),flip(a)]. 3297 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(66,a,3037,a,b,3293,a)]. 3300 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3297(a,1),2154(a,1,1))]. 3302 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3285(a,2),583(a,1,2,2))]. 3304 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1150(a,1),3291(a,1,1,1,1))]. 3305 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2971(a,1),3292(a,1,1,1,1))]. 3306 T(x,x / (y * x)) = T(x,x / (x * y)). [para(205(a,1),3281(a,1,2))]. 3308 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(209(a,1),3286(a,1,3,2))]. 3309 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3261(a,1),2614(a,1,2))]. 3310 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(3261(a,1),2628(a,1,1)),flip(a)]. 3311 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3263(a,1),1888(a,1,1))]. 3312 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3263(a,2),2622(a,1,2))]. 3314 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3268(a,1),698(a,2,1)),flip(a)]. 3315 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3268(a,1),3251(a,1,1))]. 3316 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3266(a,1),3274(a,2,2))]. 3318 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3288(a,1),3290(a,1,2)),flip(a)]. 3319 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(285,a,325,a(flip),b,3318,a),flip(a)]. 3322 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3319(a,1),946(a,1,1,2))]. 3323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(136,a,3316,a)]. 3324 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),3270(a,2,2,1))]. 3325 T(x,y \ ((x * y) / x)) = x. [para(3270(a,1),3271(a,1,2))]. 3326 T(x,T(y,x) \ y) = x. [para(209(a,1),3325(a,1,2,2))]. 3327 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(57,a,3326,a)]. 3328 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(124,a,3326,a(flip),b,27,a(flip))]. 3330 K(K(x,y),T(z,y) \ z) = 1. [para(3327(a,1),2224(a,1,2))]. 3331 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1114(a,1),3330(a,1,1))]. 3332 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(3331(a,1),2503(a,1,2)),flip(a)]. 3333 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3331(a,1),2620(a,1,2))]. 3334 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(66,a,1502,a,b,3328,a)]. 3335 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3328(a,1),1796(a,1,1,2,1))]. 3336 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(285,a,3251,a(flip),b,3332,a),flip(a)]. 3337 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3270(a,1),3336(a,1,2)),flip(a)]. 3338 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3333(a,1),2377(a,1,2,1))]. 3339 K(1 / x,y) = K(x \ 1,y). [hyper(66,a,2677,a(flip),b,3314,a)]. 3340 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(66,a,929,a(flip),b,3339,a),flip(a)]. 3341 K((x \ 1) \ 1,y) = K(x,y). [para(87(a,1),3339(a,1,1)),flip(a)]. 3342 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2769,a,3341,a)]. 3343 T(K(x,y),x) = K(x,y). [hyper(66,a,2746,a,b,3341,a)]. 3344 K(T(x,x \ 1),y) = K(x,y). [para(117(a,2),3341(a,1,1))]. 3345 K(T((x \ 1) \ 1,y),z) = K(T(x,y),z). [para(2379(a,2),3341(a,1,1))]. 3346 K(T(x \ y,y \ x),z) = K(x \ y,z). [para(2484(a,2),3341(a,1,1))]. 3347 K(x,y) * x = x * K(x,y). [para(3341(a,1),2747(a,1,2)),flip(a)]. 3348 T(x,K(x,y)) = x. [hyper(57,a,3343,a)]. 3349 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3343(a,1),221(a,1,2,1)),flip(a)]. 3350 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3343(a,1),222(a,1,2,1)),flip(a)]. 3351 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3343(a,1),223(a,1,2,1)),flip(a)]. 3352 K(x,K(x,y)) = 1. [hyper(58,a,3348,a)]. 3353 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3348(a,1),221(a,1,2,1)),flip(a)]. 3354 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3348(a,1),222(a,1,2,1)),flip(a)]. 3355 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3348(a,1),223(a,1,2,1)),flip(a)]. 3356 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3348(a,1),425(a,1,1,2)),flip(a)]. 3359 T(K(x,y),T(x,z)) = K(x,y). [hyper(225,a,3353,a)]. 3362 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3359(a,1),263(a,1,2))]. 3363 T(K(x,y),(z * x) / z) = K(x,y). [hyper(57,a,3356,a)]. 3364 T(K(x \ y,z),y / x) = K(x \ y,z). [para(15(a,1),3363(a,1,2,1))]. 3365 T(K(x \ y,z),u) * (y / x) = (y / x) * T(K(x \ y,z),u). [para(3364(a,1),221(a,1,2,1)),flip(a)]. 3366 T(x,L(K(x,y),z,u)) = x. [hyper(225,a,3350,a)]. 3367 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3350(a,1),1913(a,2,1))]. 3368 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(761,a,3351,a),flip(a)]. 3369 T(x,R(K(x,y),z,u)) = x. [hyper(225,a,3351,a)]. 3370 K(x,R(K(x,y),z,u)) = 1. [hyper(58,a,3369,a)]. 3371 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(225,a,3355,a)]. 3372 R(x,y,z) * K(x,u) != w | K(x,u) * R(x,y,z) = w. [para(3371(a,1),263(a,1,2))]. 3373 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3175(a,1),2105(a,1,2))]. 3374 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3175(a,1),2716(a,1,1,2)),flip(a)]. 3375 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(57,a,3373,a)]. 3376 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [hyper(124,a,3373,a(flip),b,27,a(flip))]. 3378 (K(x,y) \ y) * K(x,y) = y. [hyper(37,a,96,a(flip),b,3204,a),flip(a)]. 3379 x / K(y,x) = K(y,x) \ x. [hyper(135,a,3378,a)]. 3380 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3378(a,1),25(a,2,1,1))]. 3383 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3205(a,1),2817(a,2,1))]. 3384 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(118(a,1),3256(a,1,1)),flip(a)]. 3385 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(14(a,1),3384(a,1,1,2)),flip(a)]. 3386 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(66,a,3020,a,b,3259,a)]. 3387 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1067,a,3277,a),flip(a)]. 3388 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,281,a(flip),b,3300,a)]. 3390 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(589(a,1),3311(a,1,1,2))]. 3391 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1262(a,1),3315(a,1,1)),flip(a)]. 3392 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1281(a,2),3315(a,1,1)),flip(a)]. 3393 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(285,a,3253,a(flip),b,3376,a),flip(a)]. 3394 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3386(a,1),2938(a,1,2)),flip(a)]. 3395 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3387(a,2),995(a,1,2))]. 3396 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3388(a,1),23(a,2,1)),flip(a)]. 3397 R(x,x \ T(x,y),T(x,z)) = x. [hyper(700,a,3395,a)]. 3398 L(x,x \ T(x,y),x) = x. [para(3397(a,1),1059(a,1,1))]. 3399 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(60,a,3200,a)]. 3401 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(117(a,1),3241(a,1,2,1))]. 3404 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(128,a,3310,a)]. 3405 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(14(a,1),3385(a,1,1)),flip(a)]. 3406 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(185,a,3405,a)]. 3407 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(66,a,3337,a,b,3406,a)]. 3408 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(122,a,3407,a(flip),b,1000,a),flip(a)]. 3409 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(209(a,1),3407(a,2,1))]. 3410 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3408(a,1),2392(a,1,2))]. 3411 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(209(a,1),3410(a,1,2,2,1))]. 3412 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1267(a,1),3411(a,1,2,2,2))]. 3413 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(123,a,3409,a(flip),b,3169,a),flip(a)]. 3414 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3334(a,1),3409(a,1,1))]. 3415 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(185,a,3414,a)]. 3416 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1267(a,1),3415(a,1,2,2))]. 3417 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3394(a,1),2185(a,1,1)),flip(a)]. 3418 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(136,a,3401,a)]. 3419 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(3404(a,1),2014(a,1,1))]. 3420 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [hyper(124,a,3419,a(flip),b,27,a(flip)),flip(a)]. 3421 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(3419(a,1),2378(a,1,1)),flip(a)]. 3422 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(180,a,3421,a),flip(a)]. 3423 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(66,a,3103,a(flip),b,3422,a),flip(a)]. 3424 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3309(a,2),3420(a,1,1))]. 3425 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2951(a,1),3423(a,1,1,1,1))]. 3426 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3423(a,1),3341(a,1,1)),flip(a)]. 3427 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(224,a,3424,a(flip),b,2832,a(flip))]. 3429 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(17(a,1),3427(a,1,2,1))]. 3430 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3429(a,1),2719(a,1,1)),flip(a)]. 3431 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(14(a,1),3257(a,2,1))]. 3433 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3282(a,1),1021(a,1,2)),flip(a)]. 3434 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(15(a,1),3433(a,1,1)),flip(a)]. 3435 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3433(a,2),46(a,1))]. 3436 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(66,a,1827,a,b,3283,a)]. 3437 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3334(a,1),3413(a,1,2))]. 3438 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3268(a,1),3437(a,2,1))]. 3439 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3266(a,1),3275(a,2,2,1,2))]. 3440 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(285,a,3328,a(flip),b,3335,a),flip(a)]. 3441 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3028(a,1),3340(a,2,1,1))]. 3443 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3414(a,1),3440(a,1,1,2))]. 3444 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(37,a,3439,a(flip),b,3443,a(flip))]. 3446 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3444(a,1),241(a,1,2))]. 3447 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3273(a,2,1))]. 3448 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3169(a,1),3417(a,1,1)),flip(a)]. 3449 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(90(a,1),3164(a,1,2,1))]. 3451 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2405,a,3449,a)]. 3453 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1906(a,1),3451(a,1,2))]. 3454 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(32(a,2),3254(a,2,1))]. 3455 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),3295(a,1,1))]. 3456 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(116(a,1),3455(a,2,1))]. 3457 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(285,a,2415,a(flip),b,3456,a),flip(a)]. 3459 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3457(a,1),1350(a,1,1)),flip(a)]. 3460 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(285,a,3223,a(flip),b,3459,a),flip(a)]. 3462 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3460(a,1),3457(a,1,1))]. 3464 K(T(x / y,z) \ 1,T(x / y,u)) = K(x \ y,y \ x). [hyper(285,a,3239,a(flip),b,3462,a),flip(a)]. 3470 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3392(a,1),3308(a,1,3))]. 3471 T(x,K(y,x) \ 1) = x. [para(3392(a,1),3326(a,1,2))]. 3472 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [hyper(124,a,3471,a(flip),b,27,a(flip))]. 3474 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3472(a,1),203(a,2,1)),flip(a)]. 3475 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(285,a,3470,a(flip),b,3474,a),flip(a)]. 3477 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3399(a,1),126(a,1))]. 3478 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(87(a,1),3453(a,2,1,1,2))]. 3480 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2416,a,3478,a)]. 3481 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(14(a,1),3480(a,1,2)),flip(a)]. 3482 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [hyper(124,a,2976,a(flip),b,3481,a)]. 3483 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [hyper(124,a,3482,a(flip),b,993,a)]. 3484 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2983(a,1),3482(a,1,2)),flip(a)]. 3485 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1944(a,1),3454(a,1,1)),flip(a)]. 3486 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1375(a,1),3244(a,1,1))]. 3487 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(243(a,2),3486(a,1,2,1))]. 3488 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(66,a,3144,a(flip),b,3487,a)]. 3489 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3488(a,1),2919(a,1,2))]. 3490 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3446,a,3258,a),flip(a)]. 3491 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1267(a,1),3490(a,1,2,2))]. 3492 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(116(a,2),3368(a,2,1,1,1))]. 3493 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3342(a,1),3412(a,1,2,2))]. 3494 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3493(a,1),249(a,1,2))]. 3495 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3494(a,1),2692(a,1,1)),flip(a)]. 3496 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3494(a,1),2837(a,1,1))]. 3497 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(124,a,3496,a(flip),b,2253,a),flip(a)]. 3498 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(3497(a,1),2945(a,1,2))]. 3499 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(66,a,2187,a(flip),b,3498,a)]. 3500 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3267(a,1),3489(a,1,2,1))]. 3501 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(117(a,1),3500(a,2,2,1,1))]. 3502 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2914(a,1),3484(a,1,2))]. 3503 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(117(a,2),3502(a,1,2,1))]. 3504 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(34(a,1),3367(a,1,1))]. 3505 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(285,a,3448,a(flip),b,3374,a),flip(a)]. 3506 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3175(a,1),3505(a,1,1))]. 3507 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(795(a,1),3231(a,1,2)),flip(a)]. 3508 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(66,a,1943,a(flip),b,3507,a),flip(a)]. 3510 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3434(a,1),3436(a,1,1))]. 3511 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(66,a,232,a(flip),b,3510,a)]. 3512 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(14(a,1),3511(a,1,1)),flip(a)]. 3513 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(122,a,3398,a(flip),b,3512,a)]. 3514 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1547(a,1),3513(a,1,1,2)),flip(a)]. 3515 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3270(a,1),3513(a,1,1)),flip(a)]. 3516 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3407(a,1),3515(a,1,2)),flip(a)]. 3517 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(209(a,1),3516(a,1,1,2)),flip(a)]. 3518 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(209(a,1),3517(a,1,2,1)),flip(a)]. 3519 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(14(a,1),3514(a,2,1))]. 3521 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3431(a,1),3519(a,1,2))]. 3522 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(128,a,3521,a)]. 3523 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),3304(a,2,1))]. 3524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(2815(a,1),3523(a,1,1))]. 3525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(122,a,3524,a(flip),b,3521,a)]. 3526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3525,a),flip(a)]. 3527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(42,a,2510,a,b,3526,a)]. 3529 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2838(a,1),2872(a,1,2)),flip(a)]. 3530 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(285,a,25,a,b,3529,a),flip(a)]. 3531 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3529(a,2),479(a,1))]. 3532 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(66,a,3053,a(flip),b,3530,a),flip(a)]. 3533 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2899(a,1),2900(a,2,2,1,1))]. 3534 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(285,a,3269,a(flip),b,3533,a),flip(a)]. 3536 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3269(a,1),3534(a,1,1))]. 3537 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3536(a,1),3322(a,1,1))]. 3538 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3319(a,1),3537(a,2,1))]. 3540 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2413,a,3538,a)]. 3542 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2948(a,1),2994(a,1,2)),flip(a)]. 3544 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3542(a,2),447(a,1))]. 3545 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(112(a,1),2935(a,1,1,1,1,2))]. 3546 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2452,a,3545,a)]. 3547 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(16(a,1),3305(a,1,1,1))]. 3549 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3547(a,1),47(a,1)),flip(a)]. 3550 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3342(a,1),3491(a,1,2))]. 3551 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3391(a,1),3550(a,1,3))]. 3552 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(14(a,1),3551(a,1,3,1,2,2,1))]. 3553 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(116(a,1),3552(a,1,3,1,2))]. 3554 R(x,K(y,x),K(y,x) \ 1) = x. [para(21(a,2),3553(a,1,3,1))]. 3555 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(122,a,3554,a(flip),b,355,a)]. 3556 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3094(a,1),3057(a,1,1))]. 3557 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3269(a,1),3110(a,2,1))]. 3558 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3066(a,1),3324(a,1,2))]. 3559 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(32(a,2),3558(a,1,2))]. 3560 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1954(a,1),3559(a,1,2,1)),flip(a)]. 3561 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(285,a,1944,a(flip),b,3560,a),flip(a)]. 3563 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(3087,a,3561,a)]. 3564 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3561,a),flip(a)]. 3565 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3564(a,2),3527(a,1,1))]. 3566 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(66,a,3485,a,b,3565,a)]. 3567 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2313,a,3566,a)]. 3568 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(124,a,3567,a(flip),b,3508,a)]. 3569 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3567(a,1),2303(a,2,1,1))]. 3570 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1710(a,2),3563(a,1,2))]. 3571 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3570(a,1),2801(a,1,1)),flip(a)]. 3572 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3564(a,1),3571(a,2,1))]. 3573 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,3079,a(flip),b,3572,a),flip(a)]. 3574 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(37,a,1903,a(flip),b,3573,a),flip(a)]. 3575 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(66,a,3142,a,b,3574,a)]. 3576 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(185,a,3575,a),flip(a)]. 3577 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2381(a,1),3575(a,1,1,1))]. 3578 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(66,a,3568,a,b,3576,a)]. 3579 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(87(a,1),3576(a,1,1,2)),flip(a)]. 3580 R(1 / (1 / (x / (y / z))),y / z,z) = 1 / (1 / ((x * z) / y)). [para(489(a,1),3576(a,2,2,2))]. 3581 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3579(a,1),184(a,1,1,1))]. 3583 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(87(a,1),3581(a,1,1,1,1)),flip(a)]. 3584 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3581(a,1),3341(a,1,1)),flip(a)]. 3585 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(66,a,986,a,b,3583,a)]. 3586 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3583(a,2),2445(a,1,1))]. 3587 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2713(a,1),3583(a,2,1,1))]. 3588 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(87(a,1),3577(a,1,1,1,1,2)),flip(a)]. 3589 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(686(a,1),3577(a,1,1)),flip(a)]. 3590 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(868(a,1),3588(a,2,1))]. 3591 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(37,a,1874,a,b,3578,a)]. 3592 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(397,a,3591,a)]. 3593 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(487(a,1),3591(a,1,1,1)),flip(a)]. 3594 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3591(a,1),1914(a,1,1)),flip(a)]. 3595 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3591(a,1),3569(a,1,1)),flip(a)]. 3596 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3592(a,1),339(a,1))]. 3597 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(66,a,3430,a,b,3587,a)]. 3598 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3597(a,1),2499(a,1,1)),flip(a)]. 3599 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1491(a,1),3590(a,1,2))]. 3600 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(12(a,1),3599(a,1,2,1,2)),flip(a)]. 3601 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(12(a,1),3600(a,1,1,2)),flip(a)]. 3602 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(180,a,3601,a),flip(a)]. 3603 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2930(a,1),3601(a,1,2))]. 3604 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3602(a,2),3029(a,1,2))]. 3605 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(90(a,1),3603(a,1,2,2,1)),flip(a)]. 3606 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(185,a,3605,a)]. 3607 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(124,a,3606,a,b,xx)]. 3609 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(123,a,3607,a(flip),b,2436,a)]. 3610 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(90(a,1),3607(a,1,2,2,2,2)),flip(a)]. 3612 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(87(a,1),3609(a,1,1,1,2)),flip(a)]. 3613 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(285,a,3526,a(flip),b,3594,a),flip(a)]. 3614 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(136,a,3598,a(flip))]. 3615 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / ((x * y) / 1))) / y. [hyper(123,a,3580,a(flip),b,247,a),flip(a)]. 3616 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(445,a,3595,a)]. 3617 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3341(a,1),3616(a,1,3))]. 3618 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3617(a,1),260(a,1,2)),flip(a)]. 3619 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / (x * y))) / y. [para(86(a,1),3615(a,2,1,2,2))]. 3620 (1 / x) * (1 / (1 / ((1 / x) \ y))) = (1 / (1 / (y * x))) / x. [hyper(66,a,2436,a(flip),b,3619,a)]. 3621 x * K(x \ (1 / y),(1 / y) \ x) = (1 / (1 / (x * y))) / y. [hyper(66,a,2627,a,b,3620,a)]. 3622 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(262,a,3586,a),flip(a)]. 3623 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2389(a,1),3622(a,2,1))]. 3624 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(66,a,3546,a(flip),b,3623,a)]. 3625 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3242(a,1),3624(a,2,1))]. 3626 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3592(a,1),3625(a,1,1))]. 3627 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3626(a,1),47(a,1))]. 3628 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3341(a,1),3626(a,1,1))]. 3629 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2621(a,1),3628(a,2,1,2))]. 3630 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3618,a,3629,a)]. 3631 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(38,a,2398,a,b,3630,a),flip(a)]. 3633 L(x,y,K(z,z \ 1)) = x. [para(3631(a,1),3617(a,1,3))]. 3634 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3631(a,1),3629(a,1,1)),flip(a)]. 3635 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1176,a,3633,a),flip(a)]. 3636 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(66,a,2530,a,b,3633,a)]. 3637 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(66,a,105,a(flip),b,3633,a)]. 3638 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(124,a,3633,a(flip),b,2530,a)]. 3639 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3633(a,1),389(a,1,2)),flip(a)]. 3640 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3633(a,1),499(a,1,2))]. 3641 L(x,y,K(z \ 1,z)) = x. [para(1906(a,1),3633(a,1,3))]. 3642 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3633(a,1),1893(a,1,2)),flip(a)]. 3643 L(x,y,K(z \ u,u \ z)) = x. [para(2490(a,1),3633(a,1,3))]. 3645 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3544,a,3641,a),flip(a)]. 3646 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1176,a,3641,a),flip(a)]. 3650 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(66,a,2856,a(flip),b,3641,a),flip(a)]. 3651 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(66,a,2722,a(flip),b,3641,a),flip(a)]. 3652 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(66,a,2525,a(flip),b,3641,a),flip(a)]. 3653 L(x,y,K(z \ 1,z)) != u | u = x. [para(3641(a,1),53(a,1)),flip(a)]. 3654 L(x,y,K(z \ 1,z)) != u | x = u. [para(3641(a,1),53(a,2))]. 3655 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3641(a,1),389(a,1,2)),flip(a)]. 3656 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3641(a,1),499(a,1,2))]. 3657 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3641(a,1),2427(a,1,2))]. 3659 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3641(a,1),3544(a,1))]. 3661 K(x \ y,y \ x) * (1 / z) = K(x \ y,y \ x) / z. [para(3643(a,1),389(a,1,2)),flip(a)]. 3662 (K(x \ y,y \ x) * z) / u = K(x \ y,y \ x) * (z / u). [para(3643(a,1),499(a,1,2))]. 3664 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(66,a,2966,a,b,3645,a)]. 3665 a(1 / x,x / y,y) \ y = L(y,x / y,x \ 1). [hyper(66,a,1674,a,b,3645,a)]. 3666 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(66,a,455,a(flip),b,3645,a),flip(a)]. 3667 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [hyper(124,a,3645,a(flip),b,23,a(flip))]. 3668 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(87(a,1),3645(a,1,3)),flip(a)]. 3669 1 / L(x,y / x,y \ 1) = (1 / y) * (y / x). [para(3645(a,1),707(a,1,2))]. 3671 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(66,a,2725,a,b,3651,a)]. 3675 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2405,a,3639,a)]. 3676 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [hyper(2858,a,3642,a)]. 3677 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2405,a,3642,a)]. 3679 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(315,a,3677,a),flip(a)]. 3680 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(610(a,1),3677(a,1,1)),flip(a)]. 3681 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(180,a,3679,a)]. 3682 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(123,a,3634,a(flip),b,112,a)]. 3684 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2950(a,1),3634(a,1,1)),flip(a)]. 3686 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(475,a,3635,a)]. 3689 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(224,a,3635,a,b,15,a),flip(a)]. 3692 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,2800,a,b,3686,a)]. 3696 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3636(a,1),981(a,1,1)),flip(a)]. 3697 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2659(a,1),3637(a,1,1))]. 3698 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2845(a,1),3637(a,1,2))]. 3699 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2850(a,1),3637(a,1,1)),flip(a)]. 3704 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(2950(a,1),3638(a,1,1)),flip(a)]. 3705 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2398(a,1),3640(a,1,1))]. 3706 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3640(a,1),2865(a,1,1))]. 3708 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),25(a,2,1,1)),flip(a)]. 3709 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(2649(a,1),3646(a,1,1)),flip(a)]. 3710 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2654(a,1),3646(a,1,1)),flip(a)]. 3711 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2915(a,1),3646(a,1,1)),flip(a)]. 3713 K(x \ 1,x) * ((1 / y) * z) = (K(x \ 1,x) / y) * z. [para(3655(a,1),3646(a,1,1)),flip(a)]. 3714 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [hyper(2989,a,3650,a),flip(a)]. 3716 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2950(a,1),3650(a,1,1)),flip(a)]. 3717 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3656(a,1),118(a,1,1))]. 3718 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(860(a,1),3656(a,1,1)),flip(a)]. 3719 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1881(a,1),3656(a,1,1)),flip(a)]. 3720 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2855,a,3718,a)]. 3721 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(249(a,1),3719(a,1,2)),flip(a)]. 3722 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3627,a,3657,a)]. 3724 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),19(a,2,1)),flip(a)]. 3725 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),23(a,2,1)),flip(a)]. 3726 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3657(a,1),23(a,2,2,2)),flip(a)]. 3728 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3657(a,1),2992(a,1,1))]. 3729 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3596,a,3722,a)]. 3730 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(487(a,1),3722(a,1,2)),flip(a)]. 3733 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(13(a,1),3698(a,2,2))]. 3735 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(13(a,1),3699(a,2,2))]. 3736 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(66,a,2402,a(flip),b,3705,a),flip(a)]. 3737 (x * K(y,y \ 1)) / z != K(y,y \ 1) * u | x / z = u. [para(3705(a,2),46(a,1))]. 3739 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(116(a,1),3689(a,1,2,2))]. 3742 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2888(a,1),3697(a,1,2)),flip(a)]. 3743 K(x \ 1,x) * ((x \ 1) * y) = T(x \ 1,x) * y. [para(1899(a,2),3711(a,2,1))]. 3744 ((x \ 1) * y) * K(x \ 1,x) = T(x \ 1,x) * y. [hyper(2412,a,3743,a)]. 3745 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3716(a,1),3557(a,1,2,1)),flip(a)]. 3746 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3005(a,1),3717(a,1,1))]. 3747 (K(x \ y,y \ x) * z) / u != K(x \ y,y \ x) * w | z / u = w. [para(3662(a,2),46(a,1))]. 3748 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(66,a,3640,a(flip),b,3682,a)]. 3749 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),3708(a,1,1))]. 3750 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(66,a,3656,a(flip),b,3749,a)]. 3751 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(25(a,2),3750(a,1,2)),flip(a)]. 3752 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(285,a,3113,a(flip),b,3751,a),flip(a)]. 3753 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2862,a,3751,a(flip))]. 3754 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1872(a,1),3753(a,1,2,1))]. 3755 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3426(a,1),3745(a,2,2))]. 3756 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2702(a,1),3752(a,1,1)),flip(a)]. 3757 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(15(a,1),3756(a,1,1,2,1)),flip(a)]. 3758 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(123,a,3757,a,b,xx)]. 3759 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3757(a,2,1,2))]. 3760 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2713(a,1),3757(a,2,1,2))]. 3761 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(91(a,1),3758(a,1,1,1)),flip(a)]. 3762 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(138,a,3761,a),flip(a)]. 3763 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3762(a,2),2561(a,1,1))]. 3764 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(66,a,3143,a(flip),b,3760,a),flip(a)]. 3765 (x * (y \ T(y,x))) * y = y * x. [para(14(a,1),3764(a,1,1)),flip(a)]. 3766 x * (y \ T(y,x)) = (y * x) / y. [hyper(135,a,3765,a),flip(a)]. 3767 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(123,a,15,a(flip),b,3765,a),flip(a)]. 3768 x \ ((y * x) / y) = y \ T(y,x). [hyper(128,a,3766,a)]. 3769 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(122,a,756,a(flip),b,3766,a)]. 3770 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(122,a,209,a(flip),b,3766,a)]. 3771 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(122,a,153,a(flip),b,3766,a),flip(a)]. 3772 (x \ T(x,y)) * y = (x * y) / x. [hyper(66,a,3206,a,b,3766,a)]. 3773 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(37,a,3230,a,b,3766,a)]. 3774 ((x * y) / x) / y = x \ T(x,y). [hyper(37,a,3228,a,b,3766,a)]. 3775 (T(x,y) \ x) * ((x * y) / x) = y. [hyper(124,a,3766,a(flip),b,3518,a)]. 3776 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3766(a,1),889(a,1,2))]. 3777 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3268(a,1),3766(a,1,2)),flip(a)]. 3778 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3766(a,1),3323(a,1,1))]. 3779 ((x * y) / x) \ y = T(x,y) \ x. [para(3766(a,1),3444(a,1,1))]. 3781 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3770(a,2),3272(a,1,1))]. 3782 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3772(a,1),176(a,1,2,1))]. 3785 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3774(a,1),461(a,1,1,1))]. 3786 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3549,a,3775,a)]. 3787 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(15(a,1),3779(a,1,1,1)),flip(a)]. 3788 T(x,T(y,x)) \ x = y \ T(y,x). [para(209(a,1),3779(a,1,1)),flip(a)]. 3789 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(756(a,1),3779(a,1,1))]. 3790 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3779(a,1),1306(a,1,2,2,1))]. 3791 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(285,a,1114,a,b,3788,a)]. 3793 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3788(a,1),3168(a,1,1))]. 3795 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3268(a,1),3793(a,1,1))]. 3796 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(117(a,1),3767(a,1,2,2))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3778(a,1),447(a,1,1))]. 3799 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(128,a,3796,a)]. 3800 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(118(a,1),3771(a,1,2))]. 3801 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(66,a,3787,a,b,3800,a)]. 3802 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(124,a,3787,a,b,3800,a(flip)),flip(a)]. 3804 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(14(a,1),3802(a,2,2,1,2))]. 3805 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1538,a,3773,a)]. 3807 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(66,a,1095,a,b,3773,a)]. 3808 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(66,a,2579,a(flip),b,3773,a)]. 3809 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1518,a,3773,a(flip))]. 3810 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,3773,a(flip)),flip(a)]. 3811 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3773(a,1),2049(a,1,1))]. 3812 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3773(a,1),2075(a,2,2,1))]. 3813 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3773(a,1),2067(a,2,2,1))]. 3814 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3773(a,1),2808(a,1,1))]. 3815 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2068,a,3809,a)]. 3818 T(x,x / (y * x)) = T(x,y \ 1). [hyper(66,a,3306,a,b,3809,a)]. 3819 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(123,a,3809,a(flip),b,2063,a)]. 3820 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3809(a,1),2064(a,2,2))]. 3821 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3818(a,1),1071(a,1,2))]. 3822 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3805(a,2),3251(a,1,1))]. 3823 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(117(a,2),3810(a,1,2,1))]. 3824 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3819(a,2),203(a,2,1))]. 3825 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(885,a,3821,a),flip(a)]. 3826 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(138,a,3821,a)]. 3827 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(122,a,3821,a,b,xx)]. 3828 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(90(a,1),3821(a,2,2,1))]. 3829 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(368(a,2),3821(a,2,2)),flip(a)]. 3830 L(x,y,y \ 1) \ T(x,L(x,y,y \ 1) \ 1) = x * (a(1 / y,y,x) / x). [para(2965(a,1),3821(a,2,2,1))]. 3831 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [para(3029(a,1),3821(a,1,2))]. 3832 (x * y) * ((y * x) * (K(y,x) / (y * x))) = T(y * x,(x * y) \ 1). [para(21(a,2),3826(a,1,2,2,1))]. 3834 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1281(a,2),3795(a,1,1)),flip(a)]. 3835 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(66,a,1053,a(flip),b,3804,a)]. 3836 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3804(a,2),46(a,1))]. 3837 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3804(a,1),1313(a,1,1)),flip(a)]. 3838 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3820(a,1),2694(a,2,1,2))]. 3839 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1187,a,3828,a)]. 3840 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3835(a,1),1265(a,2,2,1,2))]. 3841 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(90(a,1),3829(a,2,2,2))]. 3842 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1276(a,1),3834(a,1,2))]. 3843 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1281(a,2),3777(a,2,2))]. 3844 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1429(a,1),3777(a,2,2))]. 3845 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(285,a,3805,a(flip),b,3811,a),flip(a)]. 3846 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3029(a,1),3811(a,1,1,2)),flip(a)]. 3847 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3823(a,2),46(a,1))]. 3849 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3839(a,1),431(a,1,2))]. 3850 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3289(a,1),3845(a,2,2,2,1))]. 3851 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3846(a,1),3822(a,1,1)),flip(a)]. 3852 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3781(a,1),834(a,1,1))]. 3853 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(285,a,3805,a(flip),b,3814,a),flip(a)]. 3854 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3773(a,1),3808(a,1,1))]. 3855 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3805(a,1),3812(a,1,1))]. 3856 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(14(a,1),3825(a,1,2,1)),flip(a)]. 3857 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(66,a,2927,a(flip),b,3856,a),flip(a)]. 3858 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(200(a,2),3857(a,1,2))]. 3859 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3858(a,1),786(a,1,1)),flip(a)]. 3860 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3070(a,1),3841(a,1,2))]. 3861 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3804(a,1),3837(a,1,2,1)),flip(a)]. 3862 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(447,a,3861,a),flip(a)]. 3863 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3844(a,2),46(a,1))]. 3864 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(66,a,3778,a(flip),b,3859,a)]. 3865 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(66,a,2183,a(flip),b,3864,a)]. 3866 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(14(a,1),3865(a,1,1,1)),flip(a)]. 3867 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(14(a,1),3866(a,1,1,1)),flip(a)]. 3868 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(66,a,3664,a(flip),b,3786,a)]. 3869 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2954(a,1),3868(a,2,1))]. 3870 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(66,a,3867,a(flip),b,3869,a),flip(a)]. 3871 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3227(a,1),3862(a,1,2))]. 3872 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(285,a,271,a(flip),b,3755,a)]. 3873 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(21(a,2),3852(a,2,1))]. 3874 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(66,a,3748,a(flip),b,3736,a),flip(a)]. 3875 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2394(a,1),3874(a,1,3)),flip(a)]. 3876 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1906(a,1),3875(a,1,2)),flip(a)]. 3878 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1906(a,1),3876(a,1,3)),flip(a)]. 3879 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(285,a,3853,a,b,3850,a),flip(a)]. 3880 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3029(a,1),3879(a,2,1,2))]. 3881 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(66,a,1413,a(flip),b,3840,a),flip(a)]. 3882 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(116(a,1),3881(a,2,1,2))]. 3883 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3779(a,1),3790(a,2,2))]. 3884 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [hyper(285,a,3714,a(flip),b,3746,a),flip(a)]. 3885 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2831(a,1),3838(a,1,1,1))]. 3886 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3720(a,1),3885(a,1,1,1))]. 3887 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(118(a,1),3886(a,1,1))]. 3888 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3827(a,1),3887(a,2,1))]. 3889 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(285,a,17,a(flip),b,3888,a),flip(a)]. 3890 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(38,a,2852,a(flip),b,3888,a)]. 3892 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2416,a,3889,a)]. 3894 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3889(a,1),2647(a,1,1)),flip(a)]. 3895 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(285,a,278,a,b,3890,a),flip(a)]. 3896 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(154(a,2),3890(a,2,2,1)),flip(a)]. 3897 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2401,a,3895,a)]. 3898 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(3895(a,1),3634(a,1,1)),flip(a)]. 3900 x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. [para(3897(a,1),2405(a,1))]. 3902 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3898(a,1),2946(a,1,2))]. 3903 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(117(a,1),3902(a,1,2,1,2))]. 3904 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [hyper(124,a,3903,a(flip),b,404,a),flip(a)]. 3906 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),3725(a,1,2))]. 3907 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(66,a,3656,a(flip),b,3728,a)]. 3908 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3906,a)]. 3909 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3654,a,3908,a),flip(a)]. 3911 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2409(a,2),3909(a,1,3))]. 3912 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(487(a,1),3593(a,2,2))]. 3913 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,3239,a(flip),b,3912,a),flip(a)]. 3914 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(487(a,1),3913(a,1,2))]. 3916 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1906(a,1),3680(a,2,2))]. 3917 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(87(a,1),3916(a,1,1))]. 3919 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(285,a,3889,a(flip),b,3917,a),flip(a)]. 3920 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(324(a,1),3919(a,1,2,2,2))]. 3921 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(66,a,3721,a(flip),b,3920,a)]. 3922 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2855,a,3921,a)]. 3923 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [hyper(2412,a,3921,a)]. 3924 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3922(a,1),3634(a,1,1)),flip(a)]. 3925 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (1 / T(y \ 1,z))). [para(3238(a,1),3923(a,1,2))]. 3926 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(66,a,2999,a(flip),b,3924,a)]. 3927 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (T(1 / y,z) \ 1)). [para(2380(a,1),3925(a,2,2,2))]. 3928 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ T(1 / y,z). [para(87(a,1),3927(a,2,2))]. 3930 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),3724(a,1,2,1))]. 3931 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3646(a,1),3930(a,1,2))]. 3932 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(770,a,3931,a)]. 3933 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3654,a,3932,a),flip(a)]. 3935 a(1 / x,y,z) = a(x \ 1,y,z). [para(1103(a,1),3933(a,1,1)),flip(a)]. 3936 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2646(a,1),3933(a,1,1)),flip(a)]. 3937 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [hyper(66,a,2965,a,b,3935,a)]. 3938 ((1 / x) * (x / y)) * y = a(x \ 1,x / y,y). [hyper(66,a,865,a,b,3935,a)]. 3939 a(x \ 1,x / y,y) / y = (1 / x) * (x / y). [hyper(123,a,3935,a(flip),b,865,a)]. 3940 a(x \ 1,x / y,y) \ y = L(y,x / y,x \ 1). [para(3935(a,1),3665(a,1,1))]. 3941 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3763(a,1),262(a,1))]. 3942 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3941,a,3813,a)]. 3943 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3815(a,1),3942(a,1,1)),flip(a)]. 3944 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3029(a,1),3943(a,1,2,1,2)),flip(a)]. 3945 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3029(a,1),3944(a,1,1)),flip(a)]. 3946 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(14(a,1),3945(a,1,2,2)),flip(a)]. 3947 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(14(a,1),3946(a,1,2)),flip(a)]. 3948 L(x,y \ T(y,z),y) = x. [hyper(690,a,3947,a)]. 3950 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(135,a,3947,a)]. 3951 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(37,a,996,a,b,3947,a),flip(a)]. 3954 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3770(a,2),3947(a,1,2,1))]. 3955 T(x,y) * y = x * ((x * y) / x). [para(3772(a,1),3947(a,1,2)),flip(a)]. 3957 L(x,y,y \ T(y,z)) = x. [hyper(3435,a,3948,a)]. 3958 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(122,a,3948,a(flip),b,3512,a)]. 3959 L(x,T(y,T(z,y)) \ y,z) = x. [para(3788(a,2),3948(a,1,2))]. 3962 L(x,y,T(z,T(y,z)) \ z) = x. [para(3788(a,2),3957(a,1,3))]. 3963 L(x,T(y,z) \ y,(y * z) / y) = x. [para(208(a,1),3959(a,1,2,1,2))]. 3964 T(x,y) * (x \ y) = (x * y) / x. [hyper(1015,a,3955,a)]. 3965 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1003,a,3955,a),flip(a)]. 3967 T(x,x / (x / y)) = T(x,y). [hyper(38,a,1335,a,b,3955,a)]. 3968 T(x,x \ y) * (x \ y) = x * (y / x). [para(15(a,1),3955(a,2,2,1))]. 3970 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3955(a,2),1578(a,1,1,1))]. 3971 T(x,y) = (x / y) * ((x * y) / x). [hyper(66,a,1045,a,b,3967,a),flip(a)]. 3972 T(x,x / (1 / y)) = T(x,x * y). [hyper(66,a,1341,a(flip),b,3967,a)]. 3973 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(66,a,1060,a(flip),b,3967,a)]. 3974 (x / y) \ T(x,y) = (x * y) / x. [hyper(122,a,3967,a(flip),b,1045,a)]. 3975 T(x,x / y) = T(x,y \ x). [para(87(a,1),3967(a,1,2,2))]. 3976 T(x,(y \ x) \ x) = T(x,y). [para(181(a,1),3967(a,1,2)),flip(a)]. 3977 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3967(a,1),1221(a,1,1))]. 3978 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1186,a,3975,a)]. 3979 T(x,T(y,y \ x)) = T(x,y). [para(117(a,2),3976(a,1,2))]. 3980 T(x * y,T(x,y)) = T(x * y,x). [para(14(a,1),3979(a,1,2,2))]. 3981 T(x / y,T(y,x)) = y \ x. [hyper(224,a,744,a,b,3964,a)]. 3982 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(224,a,745,a(flip),b,3964,a)]. 3984 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3964(a,1),23(a,2,1)),flip(a)]. 3985 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(97(a,1),3964(a,1,2))]. 3987 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3964(a,1),3209(a,1,1,1))]. 3988 T(x \ y,T(x,y)) = T(x \ y,x). [para(3981(a,1),231(a,1,1)),flip(a)]. 3989 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3981(a,1),1708(a,1,1)),flip(a)]. 3991 T(x / y,(x * y) / x) = y \ x. [hyper(224,a,3971,a(flip),b,1033,a(flip))]. 3993 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3972(a,1),1325(a,1,1))]. 3994 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(16(a,1),3974(a,1,1)),flip(a)]. 3995 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(285,a,117,a,b,3982,a),flip(a)]. 3997 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [hyper(124,a,3988,a(flip),b,27,a(flip))]. 3999 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3988(a,2),398(a,1,2,2))]. 4001 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(122,a,3963,a(flip),b,3883,a),flip(a)]. 4002 R(x,x \ T(x,y),z) = x. [hyper(700,a,3950,a)]. 4003 R(x,x \ (K(y,x) \ x),z) = x. [para(3834(a,1),4002(a,1,2,2))]. 4004 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(66,a,3855,a(flip),b,3951,a),flip(a)]. 4005 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(66,a,3540,a(flip),b,3951,a),flip(a)]. 4007 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(14(a,1),3958(a,2,2))]. 4011 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3965(a,2),47(a,1))]. 4012 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(122,a,3821,a,b,3968,a)]. 4013 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(66,a,3951,a,b,3968,a)]. 4014 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(66,a,281,a(flip),b,3968,a)]. 4015 T(x,x \ y) * y = x * (x * (y / x)). [hyper(124,a,3968,a(flip),b,993,a),flip(a)]. 4019 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(185,a,4007,a)]. 4020 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(124,a,4014,a(flip),b,1065,a),flip(a)]. 4021 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(123,a,4015,a(flip),b,1204,a)]. 4022 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3284,a,4019,a)]. 4023 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4019(a,1),307(a,1,1)),flip(b)]. 4024 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4019(a,1),3873(a,1,1)),flip(a)]. 4026 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(66,a,3447,a(flip),b,4022,a)]. 4027 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3774(a,1),3987(a,1,1))]. 4028 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(285,a,3973,a(flip),b,3993,a),flip(a)]. 4029 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4028(a,1),223(a,1,2))]. 4030 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4028(a,1),985(a,1,2)),flip(a)]. 4032 (T(x,y) \ x) * (x * y) = y * x. [hyper(37,a,3977,a(flip),b,3954,a),flip(a)]. 4033 K(x,y) = T(T(y,x) \ y,y * x). [hyper(224,a,4032,a,b,96,a),flip(a)]. 4034 (x * y) / (y * x) = T(y,x) \ y. [hyper(135,a,4032,a)]. 4035 T(x,y / x) \ x = y / (x * (y / x)). [hyper(123,a,17,a(flip),b,4032,a),flip(a)]. 4036 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4032(a,1),294(a,1,1)),flip(b)]. 4038 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(15(a,1),4033(a,2,2)),flip(a)]. 4039 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(42,a,3870,a,b,4034,a(flip))]. 4040 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(17(a,1),4034(a,1,2)),flip(a)]. 4042 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2179(a,1),4039(a,1,2))]. 4043 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3801(a,1),4038(a,1,1))]. 4044 T(x \ T(x * y,y),x) = R(y,x,y). [para(3994(a,1),713(a,2,1)),flip(a)]. 4045 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3994(a,1),724(a,1,1))]. 4046 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4045(a,1),98(a,1,1))]. 4048 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(138,a,4001,a)]. 4050 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3176(a,1),4001(a,1,2))]. 4051 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(38,a,418,a,b,4030,a)]. 4052 (x * (y / x)) / y = (x \ y) \ (y / x). [para(118(a,1),4040(a,1,1)),flip(a)]. 4053 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(285,a,3799,a(flip),b,4052,a),flip(a)]. 4054 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(66,a,3807,a(flip),b,4053,a),flip(a)]. 4055 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(66,a,3785,a,b,4048,a)]. 4056 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4050(a,1),3882(a,1,2,1))]. 4057 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3994(a,1),4051(a,1,1))]. 4059 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(15(a,1),4023(a,1,2))]. 4060 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(66,a,3999,a(flip),b,3989,a),flip(a)]. 4061 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(66,a,625,a(flip),b,4060,a),flip(a)]. 4062 K(x,T(y,y * x)) = K(x,y). [hyper(66,a,625,a(flip),b,4061,a),flip(a)]. 4064 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [hyper(66,a,3051,a(flip),b,4024,a)]. 4066 R(K(x,y),x,z) = K(x,y). [hyper(285,a,4024,a,b,4064,a)]. 4068 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4066(a,1),112(a,1,1)),flip(a)]. 4069 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4066(a,1),3504(a,1,1,1)),flip(a)]. 4070 L(x,y,K(y,z)) = x. [hyper(445,a,4068,a)]. 4071 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3347(a,1),4068(a,1,1))]. 4072 L(x,y,K(y,z)) != u | u = x. [para(4070(a,1),53(a,1)),flip(a)]. 4074 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1139,a,4026,a),flip(a)]. 4076 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(609,a,4054,a)]. 4077 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [hyper(124,a,4076,a(flip),b,117,a(flip))]. 4078 T(x,(x / y) \ 1) = T(x,x \ y). [para(90(a,1),4076(a,1,2,2)),flip(a)]. 4079 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4076(a,1),249(a,1,2))]. 4081 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4076(a,1),3801(a,1,1)),flip(a)]. 4082 (x / y) \ T(x,x \ y) = x * (y / x). [para(4078(a,1),3828(a,1,2))]. 4083 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(90(a,1),4077(a,1,2,2))]. 4084 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3029(a,1),4077(a,1,2))]. 4085 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3029(a,1),4079(a,1,2))]. 4086 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4082(a,1),1352(a,2,2,1))]. 4087 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4082(a,1),1666(a,1,1,2,1))]. 4088 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4076(a,1),4012(a,1,1))]. 4089 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2960(a,1),4088(a,2,2))]. 4090 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(66,a,3771,a(flip),b,4074,a)]. 4091 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4074(a,1),3793(a,1,1)),flip(a)]. 4092 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(66,a,4081,a(flip),b,4090,a)]. 4093 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(285,a,1266,a,b,4092,a)]. 4094 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(285,a,1110,a,b,4092,a)]. 4095 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(285,a,883,a(flip),b,4092,a),flip(a)]. 4096 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4092(a,2),23(a,2,1)),flip(a)]. 4098 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4092(a,2),1396(a,1,1))]. 4099 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4092(a,2),3250(a,2,2)),flip(a)]. 4100 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4094(a,2),3168(a,1,1))]. 4101 T(x,y) \ x = y \ T(y,x). [para(3029(a,1),4095(a,1,1))]. 4102 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(285,a,3771,a(flip),b,4101,a),flip(a)]. 4104 (x * y) / x = y * (T(y,x) \ y). [hyper(124,a,4101,a,b,3768,a),flip(a)]. 4105 T(x,T(y,x)) = T(x,y). [hyper(42,a,3788,a,b,4101,a)]. 4106 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [hyper(124,a,2437,a,b,4101,a(flip))]. 4107 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4101(a,2),3947(a,1,2,1))]. 4108 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4101(a,2),3951(a,1,1)),flip(a)]. 4109 K(x,y) = T(x \ T(x,y),y * x). [para(4101(a,1),4033(a,2,1))]. 4110 x * (T(x,y) \ y) = T(y,x). [hyper(1063,a,4105,a)]. 4111 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(635,a,4105,a),flip(a)]. 4112 T(x,x \ y) \ y = T(x \ y,x). [hyper(634,a,4105,a)]. 4113 T(x,y) \ (x * y) = T(y,x). [hyper(633,a,4105,a)]. 4114 T((T(x,y) * y) / T(x,y),x) = y. [hyper(426,a,4105,a)]. 4115 R(T(x,x * y),y,x) = T(x,y). [hyper(66,a,4028,a,b,4105,a)]. 4116 (x / T(y,x)) * y = T(x,y). [hyper(66,a,3973,a,b,4105,a)]. 4118 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(66,a,4042,a(flip),b,4105,a),flip(a)]. 4119 T(x,y) * T(y,x) = x * y. [hyper(124,a,4105,a(flip),b,220,a)]. 4120 T(x,y) / y = x / T(y,x). [hyper(123,a,4105,a(flip),b,3973,a)]. 4121 T(x,y) \ y = x \ T(y,x). [hyper(122,a,4105,a(flip),b,1018,a),flip(a)]. 4122 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(28(a,1),4105(a,1,2))]. 4123 T(x,y / x) = T(x,x \ y). [para(118(a,1),4105(a,1,2)),flip(a)]. 4124 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4105(a,1),221(a,1,2,1))]. 4126 (x * y) / T(y,x) = T(x,y). [para(4105(a,1),251(a,1,2))]. 4127 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4105(a,1),222(a,1,2,1))]. 4128 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4105(a,1),223(a,1,2,1))]. 4129 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(4105(a,1),282(a,1,1)),flip(a)]. 4130 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(664(a,1),4105(a,1,2))]. 4131 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4105(a,1),591(a,1,2,1,1))]. 4133 T(x,y) * (y * x) = x * (x * y). [para(4105(a,1),3977(a,1,1))]. 4134 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4105(a,1),4029(a,1,2)),flip(a)]. 4136 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [hyper(124,a,4110,a(flip),b,2894,a)]. 4140 T(x,y) = (x \ (y * x)) \ (y * x). [para(27(a,1),4113(a,1,1)),flip(a)]. 4141 x * T(y,z) != z * y | T(z,y) = x. [para(4113(a,1),134(a,1,2)),flip(b)]. 4143 T(x / T(y,x),y) = y \ T(x,y). [hyper(224,a,4116,a,b,15,a)]. 4144 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(123,a,4105,a(flip),b,4116,a)]. 4145 T(x,y) = (x * (x * y)) / (y * x). [hyper(66,a,1223,a,b,4116,a),flip(a)]. 4147 T(x,y) * (x \ T(y,x)) = y. [hyper(1015,a,4119,a)]. 4148 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(124,a,4119,a(flip),b,176,a)]. 4149 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4119(a,1),19(a,2,1,2)),flip(a)]. 4150 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4119(a,1),19(a,2,2,1)),flip(a)]. 4151 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4119(a,1),23(a,2,1)),flip(a)]. 4152 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4119(a,1),105(a,2,1))]. 4153 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4119(a,1),475(a,2,2))]. 4154 (T(x,y) / y) \ x = T(y,x). [hyper(180,a,4120,a(flip))]. 4155 x / (y \ T(x,y)) = T(y,x). [hyper(185,a,4121,a)]. 4157 x * (T(x,y) \ y) != z | T(y,x) = z. [para(4121(a,2),240(a,1,2)),flip(b)]. 4158 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4121(a,1),94(a,1,1,2,1))]. 4159 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4121(a,2),1435(a,2,1))]. 4160 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4121(a,1),1828(a,1,2,1))]. 4161 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4121(a,1),1727(a,1,2,1))]. 4162 T(x,y / x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4123,a),flip(a)]. 4163 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(66,a,731,a,b,4123,a)]. 4164 (x / y) * T(y,y \ x) = y * (x / y). [hyper(124,a,4123,a(flip),b,27,a(flip))]. 4165 (x * (y / x)) / T(x,x \ y) = y / x. [para(4123(a,1),179(a,1,2))]. 4166 x / T(y,x / y) = y \ x. [para(4123(a,2),249(a,1,2))]. 4167 T(x,y / x) != z | (x \ y) \ y = z. [para(4123(a,2),632(a,1))]. 4169 (x * (y / x)) * x = y * T(x,x \ y). [para(4123(a,1),857(a,2,2))]. 4170 T(x,T(y,x / y)) = T(x,y). [para(4123(a,2),3979(a,1,2))]. 4171 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(32(a,2),4126(a,1,2))]. 4172 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4126(a,1),744(a,1,1)),flip(a)]. 4174 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4154(a,1),312(a,1,2,1,2))]. 4175 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ T(1,y),(y \ T(1,y)) \ 1) / T(y,1). [para(4155(a,1),2735(a,2,2))]. 4178 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4162(a,1),857(a,2,2))]. 4179 x / T(y \ x,y) = (y \ x) \ x. [para(87(a,1),4166(a,1,2,2))]. 4180 T(x * y,T(y,x)) = T(x * y,y). [para(16(a,1),4170(a,1,2,2))]. 4181 T(x,x * (y / x)) = T(x,y). [hyper(45,a,731,a,b,4115,a),flip(a)]. 4182 T(x,y * x) = T(x,x * y). [hyper(45,a,727,a,b,4115,a)]. 4183 R(T(x,y),x \ y,x) = T(x,x \ y). [para(15(a,1),4115(a,1,1,2))]. 4184 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4181(a,1),3965(a,2,1))]. 4185 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4181(a,1),4116(a,1,1,2))]. 4186 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4181(a,1),4147(a,1,1))]. 4187 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(66,a,32,a,b,4182,a)]. 4188 T(x,(x \ y) * x) = T(x,y). [para(15(a,1),4182(a,2,2))]. 4189 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4182(a,1),28(a,1,1))]. 4190 x * T(y,x * y) = L(y,x,y) * x. [para(4182(a,2),667(a,1,2))]. 4191 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4182(a,1),752(a,1,2))]. 4192 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4182(a,2),671(a,1,2,1))]. 4193 K(x,T(y,x * y)) = K(x,y). [para(4182(a,2),4062(a,1,2))]. 4194 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(124,a,4188,a(flip),b,753,a),flip(a)]. 4195 T(x \ y,x * (y / x)) = T(x \ y,y). [para(4014(a,1),4188(a,1,2))]. 4196 K(x,T(x \ y,y)) = K(x,x \ y). [para(15(a,1),4193(a,1,2,2))]. 4197 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(285,a,3802,a,b,4104,a),flip(a)]. 4198 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),208(a,1,1))]. 4199 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4104(a,2),4050(a,1,2)),flip(a)]. 4200 T(x / (x / y),y \ x) = y. [para(3802(a,2),4198(a,1,1))]. 4201 (x / (x / y)) * (y \ x) = (y \ x) * y. [hyper(124,a,4200,a(flip),b,27,a(flip)),flip(a)]. 4202 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4200(a,1),28(a,1,1)),flip(a)]. 4203 T(x / (x / (x / y)),y) = x / y. [para(90(a,1),4200(a,1,2))]. 4205 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(285,a,3845,a(flip),b,4109,a)]. 4206 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4111(a,1),695(a,1,1))]. 4207 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(285,a,4044,a(flip),b,4112,a),flip(a)]. 4208 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2917(a,1),4112(a,1,1)),flip(a)]. 4209 T(x,(1 / x) * y) = T(x,x \ y). [hyper(66,a,2954,a,b,4118,a)]. 4210 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(66,a,2903,a(flip),b,4118,a),flip(a)]. 4211 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(15(a,1),4118(a,1,2)),flip(a)]. 4212 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4118(a,1),3872(a,2,1,2))]. 4213 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4133(a,1),858(a,1,1))]. 4214 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4133(a,1),1574(a,2,2,1)),flip(a)]. 4215 ((x / y) * x) / (y * (x / y)) = T(x / y,y). [para(17(a,1),4145(a,2,1,2)),flip(a)]. 4216 (x * (y / x)) / x = y / (y / (y / x)). [hyper(254,a,4203,a)]. 4217 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4203(a,1),702(a,1,1))]. 4218 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(15(a,1),4209(a,1,2)),flip(a)]. 4219 x / T(y,(1 / y) * x) = y \ x. [para(4209(a,2),249(a,1,2))]. 4220 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(4211(a,1),3979(a,1,2))]. 4221 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [hyper(124,a,4218,a(flip),b,117,a(flip))]. 4222 T(x,T(y,x)) != z | T(x,y) = z. [para(1018(a,1),4157(a,1))]. 4223 T(x,x \ y) != z | T(x,y / x) = z. [para(118(a,1),4222(a,1,2))]. 4225 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4183,a),flip(a)]. 4227 L(x,y,(y * x) / y) = L(x,y,x). [hyper(871,a,4190,a)]. 4228 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(755,a,4190,a)]. 4229 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(754,a,4190,a)]. 4230 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4190,a)]. 4231 (x * (y * x)) / x = L(x,y,x) * y. [hyper(66,a,741,a,b,4190,a)]. 4232 T(L(x,y,x) * y,x) = y * x. [para(4190(a,1),738(a,1,1))]. 4233 (L(x,y,x) * y) * x = x * (y * x). [para(4190(a,1),739(a,1,1))]. 4234 T(x,L(x,y,x) * y) = T(x,y * x). [para(4232(a,1),4105(a,1,2)),flip(a)]. 4236 T((x * y) / x,L(x,y,x)) = y. [hyper(1577,a,4229,a)]. 4237 T(x,L(y,x,y)) = T(x,y). [para(4236(a,1),253(a,1,1)),flip(a)]. 4238 T(x,T(y,y * x)) = T(x,y). [hyper(66,a,4130,a,b,4237,a)]. 4239 L(x,y,x) * T(y,x) = y * L(x,y,x). [hyper(124,a,4237,a(flip),b,27,a(flip))]. 4241 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4238(a,1),222(a,1,2,1))]. 4242 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4238(a,1),223(a,1,2,1))]. 4245 L(R(x,y,x),y,x) = x. [hyper(38,a,472,a,b,4233,a(flip))]. 4247 R(x,y,T(x,y)) = R(x,y,x). [hyper(44,a,1059,a,b,4245,a)]. 4248 x \ T(y * x,y) = R(y,x,y). [hyper(44,a,450,a,b,4245,a)]. 4250 x * R(y,x,y) = T(y * x,y). [hyper(124,a,4247,a(flip),b,1057,a)]. 4251 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4105(a,1),4247(a,1,3))]. 4252 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(15(a,1),4248(a,1,2,1)),flip(a)]. 4253 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4248(a,1),105(a,1,1)),flip(a)]. 4254 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4250(a,1),304(a,1,2)),flip(b)]. 4255 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4250(a,1),1633(a,1,1))]. 4256 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4250(a,1),2550(a,2,1))]. 4257 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(285,a,4182,a(flip),b,4234,a),flip(a)]. 4258 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(672(a,1),4234(a,1,2))]. 4259 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4257(a,1),1220(a,1,1))]. 4260 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(87(a,1),4100(a,1,1,1,2)),flip(a)]. 4261 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(66,a,4035,a(flip),b,4102,a)]. 4262 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(37,a,1064,a,b,4107,a),flip(a)]. 4263 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(285,a,4048,a,b,4108,a)]. 4264 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4159(a,2),4145(a,2,2)),flip(a)]. 4265 (x * T(y,y \ x)) / y = y * (x / y). [hyper(66,a,1206,a,b,4164,a)]. 4266 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4120(a,1),4164(a,1,1))]. 4267 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(123,a,4169,a(flip),b,1203,a)]. 4268 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(122,a,4169,a(flip),b,645,a)]. 4270 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4178(a,1),275(a,1,1))]. 4271 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(66,a,28,a,b,4189,a),flip(a)]. 4272 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1705(a,1),4189(a,1,1)),flip(a)]. 4273 T(x / (x / y),x) = L(y,y \ x,y). [para(4197(a,1),676(a,1,1))]. 4274 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4273(a,1),28(a,1,1)),flip(a)]. 4275 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4273(a,2),34(a,1,1))]. 4276 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(66,a,1231,a,b,4201,a)]. 4277 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4239(a,1),47(a,1)),flip(a)]. 4278 K(x \ y,x) \ x = x * K(x,y / x). [hyper(66,a,3810,a(flip),b,4260,a),flip(a)]. 4281 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(4134(a,1),294(a,1,1)),flip(b)]. 4282 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2835(a,2),4106(a,1,2))]. 4283 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(122,a,4119,a(flip),b,4124,a)]. 4284 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(30(a,2),4283(a,1,1))]. 4285 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(632,a,4210,a),flip(a)]. 4286 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(15(a,1),4285(a,1,2)),flip(a)]. 4287 ((x / y) * x) / (y * (x / y)) = y \ x. [hyper(285,a,118,a(flip),b,4215,a),flip(a)]. 4288 (x * (y / x)) \ ((y / x) * y) = T(x \ y,x * (y / x)). [para(4287(a,1),118(a,1,1)),flip(a)]. 4289 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(285,a,4188,a(flip),b,4258,a),flip(a)]. 4290 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4289(a,1),1218(a,1,1))]. 4291 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(285,a,1265,a(flip),b,4262,a)]. 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(66,a,1302,a,b,4263,a)]. 4294 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(285,a,28,a,b,4272,a),flip(a)]. 4295 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(124,a,994,a(flip),b,4292,a)]. 4296 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(66,a,1300,a,b,4295,a)]. 4297 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(285,a,999,a,b,4296,a),flip(a)]. 4298 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(285,a,30,a,b,4274,a),flip(a)]. 4299 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(285,a,3795,a(flip),b,4091,a),flip(a)]. 4300 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4222,a,4299,a),flip(a)]. 4301 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4222,a,4300,a),flip(a)]. 4303 T(x,y / (z * y)) = T(x,z \ 1). [para(14(a,1),4301(a,1,2,1))]. 4304 T(x,(y / z) \ 1) = T(x,z / y). [para(90(a,1),4301(a,1,2,1)),flip(a)]. 4306 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(4167,a,4303,a),flip(a)]. 4311 x / T(y * x,y \ 1) = (y * x) \ x. [para(4303(a,1),4166(a,1,2))]. 4312 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4304(a,1),3880(a,1,1,2))]. 4313 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(66,a,3029,a(flip),b,4306,a)]. 4314 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(124,a,3029,a(flip),b,4306,a(flip))]. 4315 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(90(a,1),4306(a,1,2))]. 4316 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(66,a,2180,a(flip),b,4313,a),flip(a)]. 4317 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4313(a,2),4111(a,2,1))]. 4318 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(224,a,4314,a,b,15,a)]. 4320 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4315(a,2),4111(a,2,1))]. 4321 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(285,a,4094,a(flip),b,4098,a),flip(a)]. 4322 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(662(a,1),4127(a,1,2))]. 4323 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(285,a,4239,a(flip),b,4322,a),flip(a)]. 4325 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4182(a,2),4323(a,1,2))]. 4326 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(66,a,674,a,b,4325,a)]. 4328 L(x,T(y,x),x) = L(x,y,x). [hyper(4277,a,4326,a),flip(a)]. 4329 T(x * L(y,x,y),y) = T(x,y) * y. [para(4326(a,1),4232(a,1,1))]. 4330 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(285,a,4228,a,b,4328,a)]. 4331 L(x,y / x,x) = L(x,x \ y,x). [para(118(a,1),4328(a,1,2)),flip(a)]. 4332 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(664(a,1),4328(a,1,2))]. 4333 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4128(a,1),212(a,1,1,2))]. 4334 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4115(a,1),4128(a,1,2)),flip(a)]. 4335 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4163(a,1),4128(a,1,2)),flip(a)]. 4336 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4183(a,1),4128(a,1,2)),flip(a)]. 4337 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1440(a,1),4186(a,1,2))]. 4338 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4120(a,1),4337(a,1,2))]. 4339 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4338(a,1),46(a,1)),flip(a)]. 4341 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4118(a,1),4205(a,1,2,2,1))]. 4342 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(138,a,4341,a),flip(a)]. 4343 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3847,a,4342,a)]. 4344 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4343(a,1),433(a,1,2))]. 4345 K(x * y,T(y,x)) = K(y * x,y). [hyper(310,a,4213,a),flip(a)]. 4346 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4213(a,1),310(a,1))]. 4347 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(285,a,3851,a(flip),b,4321,a),flip(a)]. 4348 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1770(a,1),4171(a,1,2,1))]. 4349 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4192(a,1),1687(a,1,1))]. 4350 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(285,a,4255,a(flip),b,4334,a),flip(a)]. 4351 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4350(a,1),4253(a,1,2))]. 4352 R(x,y / x,x) = R(x,x \ y,x). [hyper(38,a,4335,a,b,4336,a)]. 4354 R(x,(x * y) / x,x) = R(x,y,x). [para(14(a,1),4352(a,2,2))]. 4355 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4352(a,1),467(a,1,1))]. 4356 R(x,T(y,x),x) = R(x,y,x). [para(209(a,1),4354(a,1,2)),flip(a)]. 4357 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(66,a,4251,a,b,4356,a)]. 4358 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4357(a,1),32(a,2,1))]. 4359 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4357(a,1),36(a,1,1)),flip(a)]. 4361 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(285,a,32,a,b,4358,a),flip(a)]. 4362 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4361(a,1),32(a,2,1))]. 4364 (x * (y / x)) \ ((y / x) * y) = T(x \ y,y). [hyper(285,a,4195,a(flip),b,4288,a),flip(a)]. 4365 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(66,a,1283,a(flip),b,4291,a),flip(a)]. 4366 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3029(a,1),4347(a,1,1,1)),flip(a)]. 4367 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(185,a,4366,a)]. 4368 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(66,a,3338,a(flip),b,4367,a)]. 4369 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(718(a,1),4368(a,1,1,1,1)),flip(a)]. 4370 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(285,a,32,a,b,4362,a),flip(a)]. 4371 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4359(a,1),4148(a,1,1)),flip(a)]. 4372 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(285,a,638,a(flip),b,4217,a),flip(a)]. 4373 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4216(a,2),4372(a,1,2))]. 4374 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(16(a,1),4312(a,1,1,2,2))]. 4375 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(66,a,3220,a(flip),b,4374,a),flip(a)]. 4376 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4375(a,1),3782(a,1,1))]. 4377 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3798,a,4376,a)]. 4378 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(92(a,1),4376(a,1,2))]. 4380 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(117(a,1),4378(a,1,1,2))]. 4381 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(185,a,4380,a)]. 4382 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(285,a,4053,a,b,4381,a)]. 4384 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(285,a,242,a(flip),b,4377,a),flip(a)]. 4385 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3843(a,1),4384(a,1,3))]. 4386 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(285,a,452,a(flip),b,4385,a),flip(a)]. 4387 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4386(a,1),3383(a,1,2,2,1,2))]. 4389 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3951(a,1),4004(a,2,2))]. 4390 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2925(a,1),4005(a,1,2))]. 4391 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(66,a,3503,a(flip),b,4390,a),flip(a)]. 4392 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(285,a,4124,a(flip),b,4172,a),flip(a)]. 4393 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(285,a,4013,a(flip),b,4212,a),flip(a)]. 4394 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(66,a,2534,a(flip),b,4267,a),flip(a)]. 4395 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(414(a,1),4387(a,1,2)),flip(a)]. 4397 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,4395,a)]. 4398 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [hyper(123,a,82,a(flip),b,4395,a)]. 4399 L(x,y,K(z,y)) = x. [para(115(a,1),4397(a,1,2))]. 4400 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1176,a,4399,a),flip(a)]. 4401 a(K(x,y),y,z) = 1. [hyper(56,a,4399,a)]. 4402 L(x,y,T(y,z) \ y) = x. [para(3175(a,1),4399(a,1,3))]. 4403 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4402(a,1),3871(a,1,2)),flip(a)]. 4404 L(x,T(y,z) \ y,y) = x. [hyper(285,a,15,a(flip),b,4403,a),flip(a)]. 4408 L(x,K(y,z),z) = x. [para(4093(a,2),4404(a,1,2))]. 4409 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1176,a,4408,a),flip(a)]. 4411 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4408(a,1),178(a,1,2))]. 4413 R(K(x,y),y,z) = K(x,y). [hyper(475,a,4400,a)]. 4414 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3186(a,1),4400(a,1,1))]. 4415 R(x,K(y,x),z) = x. [hyper(475,a,4409,a)]. 4416 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4409(a,1),23(a,2,1)),flip(a)]. 4418 R(T(x,y),K(z,x),u) = T(x,y). [para(4415(a,1),32(a,2,1))]. 4419 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4415(a,1),471(a,1,1,1)),flip(a)]. 4420 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4415(a,1),473(a,1,1,1)),flip(a)]. 4423 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(285,a,3842,a(flip),b,4418,a),flip(a)]. 4424 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(516,a,4414,a)]. 4425 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(285,a,152,a(flip),b,4414,a),flip(a)]. 4426 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(122,a,84,a(flip),b,4414,a)]. 4427 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(66,a,4409,a(flip),b,4414,a),flip(a)]. 4428 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(66,a,4409,a(flip),b,4425,a)]. 4430 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(66,a,3555,a(flip),b,4426,a),flip(a)]. 4431 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(124,a,3555,a(flip),b,4426,a(flip))]. 4433 R(x,K(y,x) \ 1,z) = x. [para(4430(a,1),4003(a,1,2))]. 4435 K(x \ y,x) \ 1 = K(x,y / x). [hyper(37,a,4278,a(flip),b,4431,a),flip(a)]. 4436 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(122,a,4431,a(flip),b,3472,a)]. 4438 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4431(a,1),176(a,1,2,1))]. 4439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(4431(a,1),3475(a,1,1))]. 4441 K(x,(x * y) / x) = K(y,x) \ 1. [para(14(a,1),4435(a,1,1,1)),flip(a)]. 4443 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(4436(a,1),884(a,1,2,1))]. 4444 K(T(x,y),y) \ 1 = K(y,x). [para(209(a,1),4441(a,1,2)),flip(a)]. 4446 K(T(x,y),y) * K(y,x) = 1. [hyper(138,a,4444,a)]. 4447 K(T(x,y),y) = K(y,x) \ 1. [hyper(42,a,2510,a,b,4444,a),flip(a)]. 4448 R(x,K(x,y),z) = x. [para(4444(a,1),4433(a,1,2))]. 4450 R(T(x,y),K(x,z),u) = T(x,y). [para(4448(a,1),32(a,2,1))]. 4451 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4448(a,1),472(a,1,1,1)),flip(a)]. 4452 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4448(a,1),473(a,1,1,1)),flip(a)]. 4454 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4448(a,1),3212(a,1,1)),flip(a)]. 4455 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4446(a,1),304(a,1,2)),flip(b)]. 4457 x * K(T(y,x),x) = K(x,y) \ x. [hyper(124,a,4447,a,b,3522,a)]. 4458 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4450(a,1),473(a,1,1,1)),flip(a)]. 4459 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(118(a,1),4455(a,1,1,1))]. 4460 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4447(a,2),4455(a,1))]. 4463 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4427(a,1),303(a,1))]. 4465 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),442(a,1,1))]. 4467 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(138,a,4439,a)]. 4468 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(66,a,4071,a(flip),b,4454,a)]. 4469 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(4467(a,1),2699(a,1,1)),flip(a)]. 4470 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4468(a,1),375(a,1,2))]. 4471 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4447(a,2),4459(a,1))]. 4472 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4027(a,2),4460(a,1))]. 4474 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(66,a,280,a(flip),b,4443,a),flip(a)]. 4475 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(176(a,1),4463(a,1,2,2))]. 4477 R(K(x,y),x,z) != u | K(x,y) = u. [para(4024(a,2),4472(a,1))]. 4478 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3195(a,1),4420(a,1,1))]. 4479 T(x,y * K(x,y)) = T(x,y). [hyper(4470,a,4424,a),flip(a)]. 4480 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4479(a,1),4349(a,2,2))]. 4481 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3354(a,1),4451(a,1,1))]. 4482 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(66,a,278,a(flip),b,4474,a),flip(a)]. 4483 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(4478(a,1),475(a,1))]. 4484 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3842(a,1),4423(a,1,1))]. 4485 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(66,a,3380,a(flip),b,4484,a)]. 4487 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(136,a,4485,a)]. 4488 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(285,a,4482,a(flip),b,4469,a),flip(a)]. 4489 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(4488(a,1),2320(a,1,2,2))]. 4490 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(66,a,4185,a(flip),b,4394,a),flip(a)]. 4491 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(285,a,1443,a(flip),b,4490,a),flip(a)]. 4492 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(37,a,4266,a,b,4491,a)]. 4493 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4492(a,1),249(a,1,2))]. 4494 T(x,T(x,y) \ y) = T(x,x \ y). [para(4121(a,2),4492(a,1,2))]. 4495 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(14(a,1),4493(a,1,2,2))]. 4496 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(285,a,4331,a(flip),b,3970,a),flip(a)]. 4497 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4375(a,1),4055(a,1,1))]. 4498 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4059,a,4497,a),flip(a)]. 4499 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4023,a,4497,a),flip(a)]. 4504 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(66,a,4365,a(flip),b,4498,a),flip(a)]. 4505 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(66,a,4262,a(flip),b,4498,a)]. 4509 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(122,a,15,a(flip),b,4499,a)]. 4510 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(66,a,4108,a,b,4499,a)]. 4511 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(122,a,4499,a(flip),b,4048,a),flip(a)]. 4512 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),3954(a,1,2)),flip(a)]. 4513 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),4107(a,1,2)),flip(a)]. 4515 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [hyper(124,a,4510,a(flip),b,4292,a)]. 4516 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4513(a,1),4151(a,1,2))]. 4517 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(66,a,838,a(flip),b,4505,a)]. 4518 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(66,a,3984,a(flip),b,4511,a),flip(a)]. 4519 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(15(a,1),4515(a,1,1,1)),flip(a)]. 4520 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(4515(a,1),95(a,1,1)),flip(a)]. 4521 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(447,a,4516,a),flip(a)]. 4522 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(66,a,4152,a(flip),b,4521,a)]. 4523 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(118(a,1),4521(a,1,2))]. 4524 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(691,a,4518,a),flip(a)]. 4525 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(13(a,1),4522(a,1,2)),flip(a)]. 4526 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(118(a,1),4522(a,2,1,1))]. 4527 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(285,a,212,a(flip),b,4520,a),flip(a)]. 4528 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4513(a,1),4150(a,1,1))]. 4529 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(647,a,4528,a),flip(a)]. 4530 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4528(a,1),647(a,1))]. 4531 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(285,a,473,a(flip),b,4371,a),flip(a)]. 4532 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1168(a,1),4531(a,1,1))]. 4533 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(122,a,4255,a(flip),b,4532,a(flip))]. 4534 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4433(a,1),4438(a,1,1))]. 4535 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(138,a,4534,a)]. 4536 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(37,a,4487,a(flip),b,4535,a),flip(a)]. 4538 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(2190,a,4536,a)]. 4540 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(128,a,4536,a)]. 4542 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [para(116(a,1),4536(a,1,2))]. 4543 L(x,K(y,z),K(T(z,y),y)) = x. [para(4444(a,1),4538(a,1,2))]. 4544 K(T(x,y),y) * z = K(y,x) \ z. [para(4444(a,1),4540(a,1,1)),flip(a)]. 4545 x / (x * K(y,x)) = K(y,x) \ 1. [hyper(123,a,3185,a(flip),b,4542,a)]. 4546 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(14(a,1),4496(a,2,2))]. 4547 L(x,y,T(x,y)) = L(x,y,x). [hyper(66,a,4214,a(flip),b,4546,a)]. 4548 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(4123(a,1),4526(a,1,2,1))]. 4549 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(285,a,4245,a(flip),b,4057,a),flip(a)]. 4551 T(x,x \ T(x * y,y)) = T(x,y). [para(4549(a,1),3995(a,1,2)),flip(a)]. 4552 K(x,x \ T(x * y,y)) = K(x,y). [para(4549(a,1),4196(a,1,2)),flip(a)]. 4553 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4551(a,1),4207(a,1,1))]. 4554 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(66,a,4046,a,b,4552,a),flip(a)]. 4555 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(27(a,1),4553(a,1,1))]. 4556 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4250(a,1),4554(a,2,1))]. 4557 K(x \ T(x * y,x),x) = K(y,x). [hyper(285,a,1448,a(flip),b,4556,a)]. 4558 K(x \ T(y,x),x) = K(x \ y,x). [para(15(a,1),4557(a,1,1,2,1))]. 4559 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(208(a,1),4558(a,1,1,2)),flip(a)]. 4560 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4199(a,2),4559(a,1,1))]. 4561 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4560(a,1),4056(a,1,2)),flip(a)]. 4562 T(x,(y \ x) * y) = x. [hyper(38,a,3985,a,b,4561,a(flip))]. 4563 T((x \ y) * x,y) = (x \ y) * x. [hyper(57,a,4562,a)]. 4564 T(x,y * (x / y)) = x. [para(90(a,1),4562(a,1,2,1))]. 4565 T(x * (y / x),y) = x * (y / x). [para(91(a,1),4562(a,1,2))]. 4566 T(T(x,y),z * (x / z)) = T(x,y). [para(4564(a,1),28(a,1,1)),flip(a)]. 4567 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4565(a,2),4382(a,1,1))]. 4568 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3857(a,1),4567(a,1,1,1)),flip(a)]. 4570 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3029(a,1),4136(a,1,2))]. 4571 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(66,a,2430,a,b,4570,a)]. 4572 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4571(a,2),1490(a,2,2,1,2))]. 4573 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(66,a,3027,a(flip),b,4208,a),flip(a)]. 4574 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(90(a,1),4573(a,1,1,2)),flip(a)]. 4575 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4110(a,1),4264(a,1,1,2))]. 4576 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(116(a,1),4575(a,1,1))]. 4577 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(285,a,4494,a(flip),b,4576,a),flip(a)]. 4578 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3388(a,1),4391(a,1,1)),flip(a)]. 4579 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4393(a,1),4568(a,1,2)),flip(a)]. 4580 ((x \ y) * x) / y = y / (x * (y / x)). [para(4563(a,1),4579(a,1,1))]. 4581 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(285,a,4261,a(flip),b,4580,a),flip(a)]. 4582 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2387(a,1),4574(a,2,1))]. 4583 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3610(a,1),4582(a,1,1))]. 4584 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4583(a,1),4529(a,1,1))]. 4585 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(66,a,4509,a(flip),b,4096,a)]. 4586 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(66,a,4533,a(flip),b,4351,a),flip(a)]. 4588 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4409(a,1),4416(a,1,2))]. 4589 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(66,a,4389,a(flip),b,4585,a)]. 4590 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4510(a,1),4589(a,1,2)),flip(a)]. 4592 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4590(a,2),556(a,1))]. 4594 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(993(a,1),4086(a,1,1,2,1))]. 4595 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(552,a,4489,a),flip(a)]. 4596 K(x,(y \ 1) \ 1) = K(x,y). [hyper(285,a,617,a(flip),b,4595,a)]. 4597 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(4595(a,2),618(a,1))]. 4598 K(x,1 / y) = K(x,y \ 1). [para(90(a,1),4596(a,1,2,1)),flip(a)]. 4599 K(x,1 / (1 / y)) = K(x,y). [para(184(a,1),4596(a,1,2)),flip(a)]. 4600 K(x,T(y / z,z / y)) = K(x,y / z). [para(1959(a,2),4596(a,1,2))]. 4601 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2379(a,2),4596(a,1,2))]. 4604 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3429(a,2),4596(a,1,2))]. 4609 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(66,a,1314,a,b,4599,a)]. 4610 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3612(a,1),4599(a,1,2))]. 4611 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(282(a,2),4601(a,1,2))]. 4612 K(x,T(L(1 / y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u) \ 1,w)). [para(2604(a,1),4601(a,1,2,1,1)),flip(a)]. 4613 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(3423(a,1),4601(a,1,2,1)),flip(a)]. 4614 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(66,a,3072,a,b,4610,a)]. 4615 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4320(a,1),4613(a,1,2)),flip(a)]. 4616 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4609(a,1,1,2))]. 4617 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3968(a,1),4594(a,1,1,2,1))]. 4618 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(90(a,1),4373(a,2,1,2))]. 4619 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(66,a,1088,a(flip),b,4256,a),flip(a)]. 4620 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2415(a,1),4619(a,1,1)),flip(a)]. 4621 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(123,a,4620,a(flip),b,1088,a)]. 4623 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),4465(a,1,2))]. 4624 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(66,a,4588,a(flip),b,4623,a),flip(a)]. 4625 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4348,a),flip(a)]. 4627 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3860(a,1),4614(a,1,2)),flip(a)]. 4628 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1154(a,1),4333(a,1,1))]. 4629 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1174(a,1),4628(a,1,2))]. 4630 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(647,a,4629,a),flip(a)]. 4631 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4529,a,b,4630,a)]. 4632 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4105(a,1),4631(a,1,1))]. 4633 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3027(a,1),4616(a,1,2,1,2))]. 4634 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4633(a,1,2,1))]. 4635 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3027(a,1),4634(a,2,1,2))]. 4636 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(116(a,1),4635(a,2,1))]. 4637 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(66,a,2210,a(flip),b,4636,a)]. 4638 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1880(a,1),4637(a,1,1,2))]. 4639 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(87(a,1),4638(a,1,1,2,2))]. 4640 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3025(a,2),4638(a,1,1))]. 4641 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(17(a,1),4640(a,2,1))]. 4642 K(K(x \ 1,x) * y,x) = K(y,x). [para(3008(a,1),4641(a,1,1))]. 4643 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(2621(a,1),4642(a,1,1,1))]. 4644 K(K(x,x \ 1) * y,x) = K(y,x). [para(2847(a,1),4642(a,1,1)),flip(a)]. 4645 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2915(a,1),4642(a,1,1))]. 4646 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2249(a,2),4644(a,1,1))]. 4647 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3001(a,1),4645(a,1,1))]. 4648 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2974(a,1),4643(a,1,1)),flip(a)]. 4649 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2947(a,1),4646(a,1,1,1))]. 4650 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(66,a,920,a,b,4647,a)]. 4651 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4598,a,b,4648,a)]. 4652 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(66,a,4627,a,b,4650,a),flip(a)]. 4653 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(285,a,4343,a(flip),b,4652,a),flip(a)]. 4654 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(285,a,4596,a(flip),b,4653,a),flip(a)]. 4655 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(66,a,4647,a,b,4654,a)]. 4656 K((x \ 1) * y,x) = K(x \ y,x). [para(14(a,1),4654(a,1,1,2)),flip(a)]. 4657 K((1 / x) * y,x) = K(x \ y,x). [para(14(a,1),4655(a,1,1,2)),flip(a)]. 4658 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4651,a(flip),b,4657,a),flip(a)]. 4659 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(27(a,2),4657(a,2,1))]. 4660 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(87(a,1),4657(a,1,1,1)),flip(a)]. 4661 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(890(a,1),4659(a,1,1))]. 4662 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(66,a,4649,a(flip),b,4661,a)]. 4663 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4662(a,1),4444(a,1,1))]. 4664 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4455,a,4663,a),flip(a)]. 4665 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(66,a,3122,a(flip),b,4664,a),flip(a)]. 4666 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2933(a,2),4664(a,1,2,1)),flip(a)]. 4667 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3342(a,1),3416(a,1,2)),flip(a)]. 4668 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(285,a,3379,a(flip),b,4667,a),flip(a)]. 4670 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(4668(a,1),3438(a,1,2)),flip(a)]. 4671 1 / (K(x,y) \ y) = K(x,y) / y. [para(1266(a,2),4670(a,1,1)),flip(a)]. 4672 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(180,a,4671,a)]. 4673 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),3049(a,1,1))]. 4674 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),4673(a,1,2,3))]. 4675 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2754(a,1),4674(a,1,2)),flip(a)]. 4676 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3045(a,1),4675(a,1,1))]. 4677 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1927(a,1),4676(a,1,2))]. 4678 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2437(a,1),4676(a,1,1)),flip(a)]. 4679 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(66,a,3035,a(flip),b,4677,a),flip(a)]. 4680 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(285,a,3099,a(flip),b,4679,a),flip(a)]. 4681 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(285,a,2712,a(flip),b,4680,a),flip(a)]. 4682 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(66,a,4681,a(flip),b,4678,a)]. 4683 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1927(a,1),4682(a,2,2))]. 4684 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(285,a,3035,a(flip),b,4683,a),flip(a)]. 4685 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(285,a,3375,a(flip),b,4684,a),flip(a)]. 4686 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3252(a,1),4685(a,1,1))]. 4687 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(66,a,3506,a(flip),b,4686,a)]. 4688 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(4687(a,1),835(a,1,1))]. 4689 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(66,a,457,a(flip),b,4688,a),flip(a)]. 4690 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(285,a,21,a,b,4689,a)]. 4691 L(K(x,y),y \ 1,y) = K(x,y). [para(21(a,2),4690(a,2,1)),flip(a)]. 4692 (1 / x) * K(y,x) = K(y,x) / x. [para(4691(a,1),3499(a,1,1)),flip(a)]. 4693 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(122,a,4692,a(flip),b,2085,a)]. 4695 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(90(a,1),3115(a,1,1,3))]. 4696 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2712(a,1),4695(a,1,1))]. 4697 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3760(a,1),4696(a,1,1)),flip(a)]. 4698 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(12(a,1),4697(a,2,1,1,2))]. 4699 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(90(a,1),4698(a,2,2))]. 4700 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3926(a,1),4699(a,1,1))]. 4701 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4700(a,1),46(a,1))]. 4702 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4165(a,1),4087(a,1,1,2)),flip(a)]. 4703 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(285,a,2775,a(flip),b,4702,a),flip(a)]. 4704 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4082(a,1),4703(a,1,3))]. 4705 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(90(a,1),4089(a,1,1,2))]. 4706 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(30(a,2),4705(a,1,1))]. 4707 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4706(a,1,1))]. 4708 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(90(a,1),4707(a,1,2,2,2))]. 4709 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(30(a,2),4708(a,1,2,2))]. 4710 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4709(a,1,2,2))]. 4711 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(14(a,1),4710(a,1,2))]. 4713 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ T(1,y)) \ 1) / T(y,1). [para(188(a,1),4175(a,2,1,2,2))]. 4714 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ 1) \ 1) / T(y,1). [para(188(a,1),4713(a,2,1,3,1,2))]. 4717 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / T(y,1). [para(2969(a,1),4714(a,2,1))]. 4718 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(186(a,1),4717(a,2,2))]. 4719 L(x / ((y \ 1) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4718(a,1,1,2,1,2))]. 4720 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4719(a,1,2,1,2))]. 4722 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) = L(x,y \ 1,y) / y. [para(188(a,1),4720(a,1,3,2))]. 4725 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3285(a,2),3302(a,2,2,2))]. 4726 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4725(a,1,1))]. 4727 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4726(a,1,2,1,3))]. 4728 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3962(a,1),4727(a,1,2,1))]. 4729 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),1259(a,1,2,2,1,1))]. 4730 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),4729(a,1,2,2,2))]. 4731 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),L(z,y,x)). [para(23(a,2),4730(a,2,2))]. 4732 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(17(a,1),2462(a,1,2,1))]. 4733 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(85(a,1),4732(a,1,2))]. 4735 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(311,a,4733,a),flip(a)]. 4738 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2556(a,1),4735(a,1,1))]. 4739 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(597(a,1),3501(a,1,1)),flip(a)]. 4740 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(597(a,1),4265(a,1,1,2))]. 4741 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(66,a,4276,a(flip),b,4740,a),flip(a)]. 4742 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(90(a,1),4739(a,1,2,1,1,1))]. 4743 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(37,a,2942,a,b,4742,a)]. 4744 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(123,a,3483,a(flip),b,4742,a(flip))]. 4745 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(124,a,4743,a(flip),b,2920,a)]. 4746 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4578(a,1),4744(a,1,2))]. 4747 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4746(a,1),288(a,1,1)),flip(a)]. 4748 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4745(a,1),3396(a,1,2))]. 4749 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(447,a,4748,a),flip(a)]. 4751 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(66,a,3668,a(flip),b,4749,a),flip(a)]. 4752 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(66,a,105,a(flip),b,4751,a),flip(a)]. 4753 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(4592,a,4752,a)]. 4755 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4753(a,1),3556(a,2,2))]. 4756 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(285,a,4747,a(flip),b,4755,a),flip(a)]. 4758 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(66,a,3884,a(flip),b,4756,a)]. 4759 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(209(a,1),4756(a,1,1,2,2))]. 4760 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4759(a,2),46(a,1))]. 4762 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,4758,a),flip(a)]. 4764 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4762(a,1),2988(a,1,2))]. 4765 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4764(a,1),3907(a,1,2)),flip(a)]. 4767 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(285,a,2841,a(flip),b,4765,a),flip(a)]. 4771 R(x,K(y \ 1,y),z) = x. [para(15(a,1),4767(a,1,3))]. 4775 R(x,y,K(z \ 1,z)) = x. [hyper(66,a,3878,a(flip),b,4771,a)]. 4776 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4771(a,1),112(a,1,1)),flip(a)]. 4782 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(66,a,3706,a(flip),b,4775,a)]. 4783 R(x,y,K(z \ 1,z)) != u | u = x. [para(4775(a,1),54(a,1)),flip(a)]. 4784 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4775(a,1),112(a,1,1)),flip(a)]. 4785 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4775(a,1),462(a,1,1))]. 4787 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4775(a,1),474(a,1,1)),flip(a),flip(b)]. 4788 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4775(a,1),498(a,1,1))]. 4789 R(x,y,K(z,z \ 1)) = x. [para(1904(a,1),4775(a,1,3))]. 4790 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4775(a,1),2428(a,1,1))]. 4791 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3531,a,4789,a)]. 4795 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(66,a,3696,a(flip),b,4789,a),flip(a)]. 4796 R(x,y,K(z,z \ 1)) != u | x = u. [para(4789(a,1),54(a,2))]. 4797 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4789(a,1),112(a,1,1)),flip(a)]. 4799 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4789(a,1),2421(a,1,1))]. 4802 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(87(a,1),4791(a,1,3)),flip(a)]. 4803 R(x,y,1 / (1 / z)) = R(x,y,z). [para(90(a,1),4791(a,2,3))]. 4806 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2255(a,1),4795(a,1,2))]. 4807 T(x,K(y,y \ 1) * z) = T(x,z). [para(2398(a,2),4795(a,1,2))]. 4808 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2617(a,1),4795(a,1,2))]. 4809 T(x,K(y \ 1,y) * z) = T(x,z). [para(2839(a,1),4795(a,1,2)),flip(a)]. 4810 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2849(a,1),4795(a,1,2)),flip(a)]. 4811 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2887(a,1),4795(a,1,2))]. 4813 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2950(a,1),4795(a,1,2))]. 4814 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2977(a,1),4795(a,1,2)),flip(a)]. 4815 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3312(a,1),4795(a,1,2))]. 4816 T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). [para(3704(a,1),4795(a,1,2))]. 4818 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4802(a,1),112(a,1,1))]. 4820 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2909(a,1),4807(a,1,2)),flip(a)]. 4821 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2974(a,1),4807(a,1,2)),flip(a)]. 4822 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4807(a,1),4105(a,1,2))]. 4825 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4808(a,1),4584(a,1,2))]. 4826 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4810(a,1),4504(a,1,2,1))]. 4827 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(285,a,4317,a(flip),b,4813,a),flip(a)]. 4828 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(66,a,4320,a(flip),b,4813,a),flip(a)]. 4829 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3224(a,1),4813(a,2,2))]. 4830 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(66,a,640,a(flip),b,4820,a),flip(a)]. 4831 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2933(a,2),4820(a,1,2,1))]. 4832 x / T(1 / y,y * x) = (1 / y) \ x. [para(4821(a,1),4219(a,1,2))]. 4833 K((x \ 1) * y,x \ y) = 1. [hyper(58,a,4830,a)]. 4834 T(1 / x,x * y) = ((1 / x) \ y) \ y. [hyper(180,a,4832,a),flip(a)]. 4835 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4834(a,1),686(a,1,1))]. 4836 R(((1 / x) \ y) \ y,x,y) != z \ y | x * y = z. [para(4835(a,2),51(a,1))]. 4837 R((x * ((1 / y) * (y / x))) \ x,(1 / y) * (y / x),x) = (((1 / y) * (y / x)) * x) \ x. [para(2782(a,1),4835(a,1,1,1))]. 4839 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(66,a,3657,a(flip),b,4776,a)]. 4840 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3737,a,4782,a),flip(a)]. 4842 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2409(a,2),4782(a,1,2))]. 4843 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2863,a,4784,a)]. 4844 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2416,a,4784,a)]. 4846 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(4784(a,1),2411(a,2)),flip(b)]. 4847 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4784(a,1),3657(a,1,1))]. 4848 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4784(a,1),3699(a,1,1))]. 4849 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4784(a,1),4782(a,1,2))]. 4850 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1103(a,1),4785(a,1,2)),flip(a)]. 4851 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2863,a,4850,a)]. 4852 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2416,a,4850,a)]. 4853 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3729(a,1),4850(a,1,2))]. 4854 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4851(a,1),4807(a,1,2))]. 4855 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [hyper(124,a,4854,a(flip),b,27,a(flip))]. 4856 T(x,x \ (y \ 1)) * (x \ (1 / y)) = x * ((1 / y) / x). [para(4854(a,1),3968(a,1,1))]. 4858 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(285,a,2409,a,b,4790,a),flip(a)]. 4859 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(66,a,3698,a,b,4790,a)]. 4861 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(445,a,4797,a)]. 4864 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,3127,a,b,4861,a)]. 4867 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(285,a,2398,a,b,4799,a),flip(a)]. 4869 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2862,a,4839,a)]. 4870 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(380,a,4839,a),flip(a)]. 4874 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4839(a,1),4790(a,1,2))]. 4875 K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z. [para(4870(a,1),3646(a,1,1)),flip(a)]. 4876 L(x,y,z \ K(u \ 1,u)) = L(x,y,z \ 1). [para(4870(a,1),3911(a,1,3))]. 4877 K(x \ 1,x) * (y * (z \ 1)) = y * (z \ K(x \ 1,x)). [para(4870(a,1),4839(a,2,2))]. 4878 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2646(a,1),4843(a,1,2,2))]. 4879 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2685(a,1),4843(a,1,2,2))]. 4880 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2854(a,1),4843(a,1,2,2))]. 4881 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2941(a,1),4843(a,1,2,2))]. 4882 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4844(a,1),456(a,1,1))]. 4883 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(66,a,3698,a,b,4858,a)]. 4884 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(66,a,3716,a(flip),b,4858,a),flip(a)]. 4885 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4858(a,2),2412(a,1))]. 4886 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2654(a,1),4858(a,1,2)),flip(a)]. 4887 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(2861(a,1),4859(a,1,1)),flip(a)]. 4888 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2975(a,1),4859(a,1,1)),flip(a)]. 4889 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3639(a,1),4859(a,1,1)),flip(a)]. 4890 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2398(a,1),4867(a,1,2))]. 4891 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(66,a,3634,a,b,4880,a)]. 4893 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2830(a,1),4883(a,1,1)),flip(a)]. 4894 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2888(a,1),4883(a,1,1)),flip(a)]. 4895 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3754(a,1),4883(a,1,1)),flip(a)]. 4896 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(23(a,2),4890(a,2,2))]. 4897 L(x,K(y,y \ 1),z) = x. [hyper(445,a,4891,a)]. 4899 a(x,K(y,y \ 1),z) = 1. [hyper(56,a,4897,a)]. 4900 L(x,y * (1 / y),z) = x. [para(1903(a,1),4897(a,1,2))]. 4902 L(x,y * (1 / y),z) != u | u = x. [para(4900(a,1),53(a,1)),flip(a)]. 4903 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(66,a,3739,a,b,4822,a)]. 4904 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(66,a,4517,a,b,4826,a)]. 4905 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(124,a,4826,a(flip),b,4517,a),flip(a)]. 4906 (x \ T(x * (y / x),z)) * x = T(y,z). [hyper(136,a,4904,a(flip))]. 4907 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4904(a,1,2,1,2)),flip(a)]. 4908 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(87(a,1),4904(a,1,2,1,2))]. 4911 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4338(a,1),4904(a,1,2,1))]. 4912 x * (T(y * x,z) / x) = T(x * y,z). [para(16(a,1),4905(a,1,1,2)),flip(a)]. 4913 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(87(a,1),4905(a,1,1,2)),flip(a)]. 4914 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(118(a,1),4905(a,2,2,1))]. 4918 T(x * (y / x),K(z,y)) = x * (y / x). [para(3185(a,1),4905(a,2,2,1))]. 4919 T(x * (y / x),K(y,z)) = x * (y / x). [para(3348(a,1),4905(a,2,2,1))]. 4920 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4123(a,1),4905(a,2,2,1))]. 4921 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4905(a,2),4021(a,1,1,2))]. 4922 (x \ T(x * y,z)) * x = T(y * x,z). [para(16(a,1),4906(a,1,1,2,1,2))]. 4923 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(900,a,4907,a)]. 4926 T((x \ y) * x,z) / x = x \ T(y,z). [para(15(a,1),4907(a,2,2,1))]. 4927 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4907(a,1),118(a,1,1))]. 4929 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(4599(a,1),4918(a,1,2))]. 4930 T(K(x,y),z * (x / z)) = K(x,y). [hyper(57,a,4919,a)]. 4932 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(15(a,1),4922(a,1,1,2,1)),flip(a)]. 4935 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4926(a,1),236(a,1,1)),flip(b)]. 4938 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(285,a,3898,a,b,4932,a)]. 4940 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [hyper(124,a,4932,a(flip),b,27,a(flip))]. 4941 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4932(a,2),47(a,1))]. 4942 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(118(a,1),4932(a,2,1,2))]. 4943 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4932(a,2),98(a,1,1))]. 4946 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [hyper(124,a,4914,a(flip),b,27,a(flip)),flip(a)]. 4947 x * (y * ((x \ z) / y)) != u | (y * ((z / x) / y)) * x = u. [para(4914(a,1),263(a,1,2))]. 4949 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(66,a,3902,a(flip),b,4940,a),flip(a)]. 4950 T(1 / x,(y \ x) * y) = x \ 1. [hyper(224,a,3902,a(flip),b,4940,a(flip))]. 4952 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(118(a,1),4940(a,1,2,1,2)),flip(a)]. 4953 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(117(a,1),4940(a,1,2,1,2))]. 4954 T(1 / (x * y),y * x) = (x * y) \ 1. [para(14(a,1),4950(a,1,2,1))]. 4955 (1 / (x * y)) * (y * x) = (y * x) * ((x * y) \ 1). [hyper(124,a,4954,a(flip),b,27,a(flip)),flip(a)]. 4957 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(254,a,4942,a)]. 4958 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (1 / x),y)) * x. [para(4942(a,1),921(a,1,2))]. 4959 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3213(a,1),4935(a,1,1,2))]. 4961 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [hyper(124,a,1034,a(flip),b,4908,a),flip(a)]. 4962 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4566(a,1),4911(a,1,1))]. 4963 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4913(a,1),304(a,1,2)),flip(b)]. 4964 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(285,a,4905,a,b,4920,a),flip(a)]. 4965 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(124,a,414,a(flip),b,4923,a(flip)),flip(a)]. 4966 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(123,a,4923,a(flip),b,1351,a),flip(a)]. 4967 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(14(a,1),4946(a,2,2,2,1))]. 4968 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(203(a,2),4946(a,2,2,2,1))]. 4969 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(66,a,4700,a(flip),b,4949,a),flip(a)]. 4970 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(285,a,4581,a(flip),b,4969,a),flip(a)]. 4971 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4970(a,1),3904(a,2,2))]. 4972 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1693,a,4952,a),flip(a)]. 4973 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(66,a,464,a,b,4952,a)]. 4974 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(116(a,2),4952(a,2,2)),flip(a)]. 4975 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(205(a,2),4952(a,1,1,1,2))]. 4976 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(14(a,1),4957(a,1,1,2,1,2))]. 4977 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(66,a,4304,a,b,4964,a)]. 4978 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4965(a,2,2,2))]. 4980 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(66,a,4194,a(flip),b,4976,a),flip(a)]. 4981 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3022(a,1),4829(a,1,2))]. 4983 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) = K(y \ 1,y). [hyper(195,a,4875,a)]. 4984 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) != z | K(y \ 1,y) = z. [para(4875(a,1),195(a,1)),flip(b)]. 4985 ((K(x \ 1,x) / y) \ 1) \ 1 = y \ K(x \ 1,x). [hyper(318,a,4983,a),flip(a)]. 4986 (K(x \ 1,x) / y) \ 1 = K(x,x \ 1) * y. [hyper(42,a,3733,a,b,4985,a),flip(a)]. 4987 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ K(z \ 1,z)). [para(4985(a,1),3668(a,1,3)),flip(a)]. 4988 (K(x \ 1,x) / (y * x)) * (y * ((x \ 1) \ 1)) = 1. [hyper(124,a,2830,a(flip),b,4986,a)]. 4989 L(x,(y * ((z \ 1) \ 1)) / x,K(z \ 1,z) / (y * z)) = ((K(z \ 1,z) / (y * z)) * ((y * ((z \ 1) \ 1)) / x)) \ 1. [para(4988(a,1),107(a,2,2))]. 4990 (K(x \ 1,x) / y) * (z \ 1) = (1 / y) * (z \ K(x \ 1,x)). [hyper(66,a,3713,a(flip),b,4877,a)]. 4991 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4881(a,1),4807(a,1,2)),flip(a)]. 4992 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(87(a,1),4991(a,1,2,2,1)),flip(a)]. 4993 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3646(a,1),4991(a,1,2)),flip(a)]. 4994 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4887(a,1),3933(a,1,1)),flip(a)]. 4995 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2863,a,4888,a)]. 4996 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4889(a,1),4844(a,2,2))]. 4997 T(x,y * (((((1 / z) \ 1) * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(4889(a,2),4992(a,1,2,2,1,1))]. 4998 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(4893(a,1),4809(a,1,2))]. 4999 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(90(a,1),4998(a,1,2,1,2,1)),flip(a)]. 5000 T(x,((y \ 1) * y) \ z) = T(x,z). [para(161(a,1),4998(a,1,2)),flip(a)]. 5001 T((x \ y) * x,y \ 1) != z * ((x \ y) * x) | K(y,y \ 1) = z. [para(4938(a,1),47(a,1))]. 5002 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(66,a,830,a,b,4974,a)]. 5003 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ 1). [hyper(285,a,4876,a(flip),b,4987,a),flip(a)]. 5005 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4818(a,1),47(a,1))]. 5008 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4827(a,1),4615(a,1,2)),flip(a)]. 5009 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(123,a,4847,a(flip),b,112,a)]. 5010 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(66,a,3726,a(flip),b,4848,a),flip(a)]. 5011 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(124,a,4849,a,b,2857,a)]. 5012 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(66,a,2941,a(flip),b,4853,a)]. 5013 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(285,a,3139,a(flip),b,5012,a),flip(a)]. 5015 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4874(a,1),2450(a,1))]. 5016 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(66,a,4799,a(flip),b,4903,a)]. 5017 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4978(a,1,1,2,2))]. 5019 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(5017(a,2),46(a,1))]. 5020 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2850(a,1),5011(a,1,2,2)),flip(a)]. 5021 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2398(a,1),5020(a,1,2))]. 5022 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4113(a,1),5016(a,1,1)),flip(a)]. 5023 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(285,a,2398,a,b,5022,a),flip(a)]. 5026 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5023(a,2),46(a,1))]. 5028 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,4617,a(flip),b,4921,a),flip(a)]. 5029 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),4788(a,1,2))]. 5030 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),4896(a,1,2))]. 5031 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3759(a,1),4973(a,1,1))]. 5032 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),5029(a,1,2,2))]. 5033 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),5030(a,1,2,2))]. 5034 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(447,a,5032,a)]. 5035 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(285,a,2409,a,b,5034,a),flip(a)]. 5036 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2409(a,2),5035(a,1,1))]. 5037 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(447,a,5033,a)]. 5038 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(285,a,2398,a(flip),b,5037,a),flip(a)]. 5039 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1963(a,1),5037(a,1,1)),flip(a)]. 5040 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5037(a,2),2982(a,1,2))]. 5041 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(66,a,2101,a(flip),b,5039,a)]. 5042 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(117(a,1),5041(a,2,1))]. 5043 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(128,a,5042,a)]. 5044 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(66,a,1978,a,b,5043,a)]. 5045 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2167,a,5044,a)]. 5046 L(x,y,z) / x = x \ L(x,y,z). [hyper(135,a,5045,a)]. 5047 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(128,a,5045,a)]. 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5047(a,1),419(a,1,2,1)),flip(a)]. 5053 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1889(a,1),5038(a,1,1)),flip(a)]. 5054 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5038(a,2,2))]. 5055 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5053(a,1),3681(a,1,1))]. 5056 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(122,a,5052,a(flip),b,996,a)]. 5057 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(243(a,2),4966(a,2,1,2,1,2))]. 5058 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2977(a,1),5040(a,1,2,1))]. 5059 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(66,a,947,a(flip),b,5058,a),flip(a)]. 5060 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(136,a,5059,a)]. 5061 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(17(a,1),5059(a,1,1,1)),flip(a)]. 5062 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(15(a,1),5060(a,1,1,2,1)),flip(a)]. 5063 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(138,a,5061,a),flip(a)]. 5064 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5062(a,1),30(a,2,1))]. 5065 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(452(a,1),5062(a,2,1,2))]. 5066 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(453(a,1),5062(a,2,1,2))]. 5067 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1880(a,1),5063(a,2,2,1))]. 5068 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(285,a,4929,a,b,5067,a)]. 5069 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(15(a,1),5065(a,2,1,2))]. 5070 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(66,a,4971,a(flip),b,5066,a),flip(a)]. 5071 x * (y \ (x / (x / y))) = (y \ x) * y. [para(160(a,1),5070(a,1,1,2)),flip(a)]. 5072 x \ (y / (y / x)) = K(x \ y,x). [hyper(37,a,271,a,b,5071,a),flip(a)]. 5073 x / (x / y) = y * K(y \ x,y). [hyper(138,a,5072,a),flip(a)]. 5074 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [hyper(124,a,4558,a(flip),b,5072,a),flip(a)]. 5075 (x * y) / ((x * y) / x) = x * K(y,x). [hyper(124,a,625,a(flip),b,5072,a),flip(a)]. 5076 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(66,a,4970,a,b,5072,a)]. 5077 ((x \ y) * x) / y = K(x \ y,x). [hyper(66,a,4581,a,b,5072,a)]. 5078 x / (y * (x / y)) = K(y \ x,y). [hyper(66,a,4261,a,b,5072,a)]. 5082 (x / y) * K(y \ x,y) = y \ x. [hyper(124,a,5072,a(flip),b,3800,a)]. 5083 (1 / x) \ K(y \ x,y) = (y \ x) * y. [hyper(122,a,5072,a(flip),b,4970,a)]. 5085 T(K(x \ y,x),y) = K(x \ y,x). [para(5072(a,1),4043(a,1,1))]. 5087 (x * K(x \ y,x)) \ y = y / x. [hyper(180,a,5073,a)]. 5091 (x * y) * K((x * y) \ y,x * y) = y / R(1 / x,x,y). [para(205(a,2),5073(a,1,2)),flip(a)]. 5093 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(404(a,1),5073(a,2,2,1))]. 5096 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5073(a,1),596(a,1,1,1))]. 5097 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5073(a,1),4273(a,1,1))]. 5098 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5073(a,2),4409(a,1,1))]. 5101 K(x \ y,x) * y = (x \ y) * x. [hyper(136,a,5077,a)]. 5102 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(66,a,4700,a,b,5077,a)]. 5104 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(5077(a,1),2836(a,1,1))]. 5106 K(x \ y,x) * (x * (y / x)) = y. [hyper(136,a,5078,a)]. 5107 K(x \ 1,x) * K(y \ (1 / x),y) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),3676(a,1,2))]. 5108 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5078(a,1),4906(a,1,1,2,1,2))]. 5110 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4658(a,1),5082(a,1,2))]. 5111 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(285,a,5077,a,b,5085,a)]. 5113 (x * ((y \ z) * y)) * a(x,K(y \ z,y),z) = (x * K(y \ z,y)) * z. [para(5101(a,1),93(a,1,1,2))]. 5114 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5101(a,1),2182(a,2,2))]. 5115 K(x \ y,x) * (y / x) = x \ y. [hyper(122,a,5106,a(flip),b,4427,a(flip)),flip(a)]. 5119 K(x,y) = T(y,x) \ y. [hyper(3836,a,5075,a),flip(a)]. 5120 K(x,y) = (x * y) / (y * x). [hyper(285,a,4034,a,b,5119,a),flip(a)]. 5121 K(x,y) = ((y * x) / y) \ x. [hyper(285,a,3779,a,b,5119,a),flip(a)]. 5122 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(285,a,3252,a,b,5119,a),flip(a)]. 5123 K(x,y) = y / T(y,x). [hyper(285,a,3170,a,b,5119,a),flip(a)]. 5124 K(x,y) = y * (T(y,x) \ 1). [hyper(285,a,1000,a,b,5119,a),flip(a)]. 5125 K(x,y) = x \ T(x,y). [hyper(285,a,4101,a(flip),b,5119,a),flip(a)]. 5126 x * T(x \ 1,y) = K(x \ 1,y). [hyper(285,a,4092,a(flip),b,5119,a)]. 5128 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(124,a,5119,a,b,3252,a)]. 5129 x / (x / y) = y * K(x / y,y). [hyper(124,a,5119,a,b,4102,a(flip)),flip(a)]. 5130 T(x,y) = x * K(x,y). [hyper(124,a,5119,a,b,4101,a(flip)),flip(a)]. 5131 T(x,y) * K(y,x) = x. [hyper(124,a,5119,a,b,xx)]. 5132 K(x,y) / y = 1 / T(y,x). [hyper(123,a,5119,a,b,3169,a)]. 5133 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(122,a,5119,a,b,2437,a)]. 5134 T(x,y) \ 1 = x \ K(y,x). [hyper(122,a,5119,a,b,1000,a),flip(a)]. 5135 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(122,a,5119,a,b,4092,a(flip))]. 5136 T(x,y) = x / K(y,x). [hyper(185,a,5119,a(flip)),flip(a)]. 5137 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(32(a,2),5119(a,2,1)),flip(a)]. 5138 K(x,y) != z \ y | T(y,x) = z. [para(5119(a,2),51(a,1))]. 5142 T(x,y) = K(y,x) \ x. [para(5119(a,2),3168(a,1,1)),flip(a)]. 5143 K(x,y) * T(y,x) = y. [para(5119(a,2),3171(a,1,1))]. 5144 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5119(a,2),3393(a,1,1))]. 5145 K(x,y) * ((y * x) / y) = x. [para(5119(a,2),3775(a,1,1))]. 5146 K(x,y) * (y * x) = x * y. [para(5119(a,2),4032(a,1,1))]. 5148 K(x,y) = T(y,T(x,y)) \ y. [para(4105(a,2),5119(a,2,1))]. 5149 (x * y) / x = y * K(x,y). [para(5119(a,2),4104(a,2,2))]. 5150 T(x * K(y,x),y) = x. [para(5119(a,2),4198(a,1,1,2))]. 5152 x * (K(x,y) * z) = T(x,y) * z. [para(5119(a,2),4107(a,1,2,1))]. 5153 T(x,y) * (x \ z) = K(x,y) * z. [para(5119(a,2),4108(a,2,1))]. 5154 K(x / y,z) * x = y * T(y \ x,z). [para(5119(a,2),4262(a,1,1))]. 5156 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5119(a,2),4099(a,1,2)),flip(a)]. 5157 x * (T(x,y) \ z) = K(y,x) * z. [para(5119(a,2),4498(a,1,1)),flip(a)]. 5158 K(x,y) * (T(y,x) * z) = y * z. [para(5119(a,2),4499(a,1,1))]. 5159 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(28(a,1),5123(a,2,2)),flip(a)]. 5160 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(30(a,2),5123(a,2,2)),flip(a)]. 5161 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(32(a,2),5123(a,2,2)),flip(a)]. 5162 K(x,y) \ y != z | T(y,x) = z. [para(5123(a,2),307(a,1,1)),flip(b)]. 5164 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(285,a,3854,a,b,5125,a)]. 5166 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(285,a,3773,a,b,5125,a)]. 5167 K(x,y) = y \ ((x * y) / x). [hyper(285,a,3768,a,b,5125,a),flip(a)]. 5168 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(285,a,3269,a,b,5125,a),flip(a)]. 5169 K(x,y) = T(x,y) / x. [hyper(285,a,3266,a,b,5125,a),flip(a)]. 5170 K(x,y) = T(x,y) * (x \ 1). [hyper(285,a,886,a,b,5125,a),flip(a)]. 5171 x * T(x \ 1,y) = K(1 / x,y). [hyper(285,a,891,a(flip),b,5125,a)]. 5174 T(x,y) \ K(x,y) = x \ 1. [hyper(122,a,5125,a,b,886,a)]. 5177 (1 / x) * K(x \ 1,y) = T(1 / x,y). [hyper(124,a,3339,a(flip),b,5125,a(flip))]. 5178 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(30(a,2),5125(a,2,2)),flip(a)]. 5179 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(32(a,2),5125(a,2,2)),flip(a)]. 5180 x * K(x,y) != z | T(x,y) = z. [para(5125(a,2),240(a,1,2)),flip(b)]. 5185 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5125(a,2),1141(a,1,1))]. 5186 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1. [para(5125(a,2),1422(a,1,2))]. 5187 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5125(a,2),1804(a,1,2))]. 5188 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(2771(a,1),5125(a,2,2)),flip(a)]. 5189 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2788(a,1),5125(a,2,2))]. 5190 T(x,y) = K(x,y) * x. [para(5125(a,2),3267(a,1,1)),flip(a)]. 5191 (x * K(y,x)) * y = y * x. [para(5125(a,2),3765(a,1,1,2))]. 5192 (x * y) / x = K(x,y) * y. [para(5125(a,2),3772(a,1,1)),flip(a)]. 5193 (x \ y) * K(x,x \ y) = y / x. [para(5125(a,2),3767(a,1,2))]. 5196 x * (T(x,y) \ z) = K(x,y) \ z. [para(5125(a,2),3958(a,1,1)),flip(a)]. 5197 K(x,x \ y) * y = x * (y / x). [para(5125(a,2),4013(a,1,1))]. 5200 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4273(a,1),5125(a,2,2)),flip(a)]. 5201 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4303(a,2),5125(a,2,2)),flip(a)]. 5202 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(123,a,5130,a,b,93,a)]. 5203 (x * y) * K(x * y,T(y,x)) = T(x * y,y). [hyper(66,a,4180,a(flip),b,5130,a),flip(a)]. 5204 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,2773,a(flip),b,5130,a),flip(a)]. 5207 T(x,y) != x * z | K(x,y) = z. [para(5130(a,2),46(a,1))]. 5208 x \ T(x,y) != z | K(x,y) = z. [para(5130(a,2),304(a,1,2)),flip(b)]. 5209 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5130(a,2),113(a,2,1))]. 5212 (x * y) \ (x * T(y,z)) != u | L(K(y,z),y,x) = u. [para(5130(a,2),447(a,1,2,2))]. 5213 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5130(a,2),475(a,2,2))]. 5215 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5130(a,2),947(a,2,2,1))]. 5216 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5130(a,2),1152(a,1,2)),flip(a)]. 5217 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(5130(a,2),1245(a,1,2)),flip(a)]. 5218 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5130(a,1),3036(a,2,2))]. 5219 K(x,y) * (x * z) = T(x,y) * z. [para(5130(a,2),4071(a,1,1)),flip(a)]. 5220 x * (y * K(x,y)) = T(x,y) * y. [para(5130(a,2),4454(a,1,1)),flip(a)]. 5221 x * K(R(x,y,z),x) = x. [para(168(a,1),5131(a,1,1))]. 5223 T(x,y) \ x != z | K(y,x) = z. [para(5131(a,1),304(a,1,2)),flip(b)]. 5226 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(598(a,1),5131(a,1,1))]. 5227 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5131(a,1),2323(a,1,1,1)),flip(a)]. 5228 T(x,y) * (K(y,x) * z) = x * z. [para(5131(a,1),4419(a,1,1)),flip(a)]. 5230 T(x,y) != x / z | K(y,x) = z. [para(5136(a,2),48(a,1))]. 5231 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5136(a,2),1414(a,1,1)),flip(a)]. 5232 T(x,y) = (K(y,x) / x) \ 1. [hyper(285,a,4672,a,b,5142,a),flip(a)]. 5233 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(285,a,4260,a,b,5142,a)]. 5234 K(x,y / x) * (x \ y) = y / x. [hyper(124,a,118,a(flip),b,5142,a(flip))]. 5235 x / T(x,y) != z | K(y,x) = z. [para(5142(a,2),297(a,1,2)),flip(b)]. 5236 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5142(a,2),2315(a,1,2,1))]. 5237 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(728,a,5150,a),flip(a)]. 5238 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(426,a,5150,a)]. 5239 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(43,a,4114,a,b,5150,a)]. 5240 T(T(x * K(y,x),z),y) = T(x,z). [para(5150(a,1),28(a,1,1)),flip(a)]. 5241 (x * y) / x != z | y * K(x,y) = z. [para(5150(a,1),298(a,1,1,2)),flip(b)]. 5242 T(x * K(y,x),z) * y = y * T(x,z). [para(5150(a,1),221(a,1,2,1)),flip(a)]. 5243 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5150(a,1),252(a,1,1,2,1)),flip(a)]. 5244 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5150(a,1),222(a,1,2,1)),flip(a)]. 5245 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5150(a,1),223(a,1,2,1)),flip(a)]. 5246 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5150(a,1),662(a,1,1)),flip(a)]. 5248 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5150(a,1),415(a,1,2,1,1)),flip(a)]. 5249 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(5150(a,1),591(a,1,2,1,1)),flip(a)]. 5250 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5150(a,1),1509(a,1,1)),flip(a)]. 5251 T(K(x,y) * y,x) = y. [para(3186(a,2),5150(a,1,1))]. 5252 T(x \ K(y,x \ 1),y) = x \ 1. [para(3224(a,1),5150(a,1,1))]. 5253 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5150(a,1),4547(a,1,3)),flip(a)]. 5254 K(x,y) = (1 / x) * T(x,y). [hyper(285,a,903,a,b,5169,a),flip(a)]. 5255 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(123,a,5169,a,b,898,a),flip(a)]. 5256 T(x,y) = (1 / x) \ K(x,y). [hyper(122,a,5169,a,b,903,a),flip(a)]. 5258 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(32(a,2),5169(a,2,1)),flip(a)]. 5259 K(x,y) * x != z | T(x,y) = z. [para(5169(a,2),236(a,1,1)),flip(b)]. 5265 K((x \ y) * x,y \ 1) = K(y,y \ 1). [hyper(5001,a,5190,a),flip(a)]. 5266 K(x,x \ y) * x = T(x,y / x). [hyper(4223,a,5190,a),flip(a)]. 5268 K(x / y,y) * (x / y) = y \ x. [hyper(630,a,5190,a),flip(a)]. 5269 T(x,y) / (y \ x) = y * K(x,y). [hyper(123,a,5190,a,b,4425,a)]. 5271 K(x,y) * (y \ x) = y \ T(x,y). [hyper(122,a,5190,a,b,4428,a),flip(a)]. 5272 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(66,a,30,a,b,5190,a),flip(a)]. 5273 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(66,a,28,a,b,5190,a),flip(a)]. 5274 x * (K(y,x) * y) = y * x. [hyper(124,a,5190,a(flip),b,27,a(flip))]. 5279 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5190(a,2),216(a,1,1))]. 5280 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5190(a,2),499(a,1,1))]. 5281 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5190(a,2),447(a,1,2,2))]. 5282 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5190(a,2),475(a,2,2))]. 5283 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5190(a,2),563(a,1,2))]. 5284 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5190(a,2),644(a,1,1))]. 5285 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5190(a,2),646(a,1,1))]. 5286 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5190(a,2),1505(a,2,1,1))]. 5287 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5190(a,2),1628(a,1,1))]. 5289 K(R(x,y,z),x) = 1. [hyper(126,a,5221,a),flip(a)]. 5291 T(x * y,K(y,x)) = x * y. [hyper(382,a,5120,a(flip))]. 5292 x / ((y \ x) * y) = K(y,y \ x). [para(15(a,1),5120(a,2,1)),flip(a)]. 5293 K(x,y) * (y * x) = (x * y) * 1. [para(5120(a,2),157(a,1,1))]. 5294 K(x,x \ y) * ((x \ y) * x) = y. [para(5120(a,2),92(a,1,1))]. 5296 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5120(a,2),837(a,1,1,1))]. 5297 K(x,y) != z | T(y,x) \ y = z. [para(5120(a,2),4036(a,1))]. 5298 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5124(a,2),104(a,1,2,2)),flip(a)]. 5300 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5132(a,2),2381(a,1,2)),flip(a)]. 5301 K(x,y) \ (1 / T(y,x)) = 1 / y. [para(5132(a,1),4693(a,1,2))]. 5302 T(x,y) = 1 / (x \ K(y,x)). [hyper(185,a,5134,a),flip(a)]. 5303 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(117(a,1),5134(a,1,1))]. 5304 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5134(a,1),297(a,1,2)),flip(b)]. 5306 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5134(a,1),1830(a,1,2,1))]. 5307 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5134(a,2),3495(a,2,1))]. 5309 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(103(a,1),5145(a,1,2,1))]. 5310 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(93(a,1),5145(a,1,2,1))]. 5312 K(x,y / x) * y = x * (y / x). [para(17(a,1),5146(a,1,2))]. 5313 x * (y * z) != z * y | K(z,y) = x. [para(5146(a,1),47(a,1)),flip(a)]. 5314 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),5146(a,1,2))]. 5315 (x * (y * x)) / (x * y) = x * K(y,x). [para(5146(a,1),4411(a,1,1,2))]. 5316 K(T(x,y),y) = K(x,y). [hyper(285,a,5119,a,b,5148,a)]. 5317 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5148(a,2),4728(a,1,1))]. 5318 K(x,y / x) = K(x,x \ y). [hyper(4471,a,5316,a)]. 5319 K(x,T(y,x)) = K(x,y). [hyper(4460,a,5316,a),flip(a)]. 5320 K(x,y) \ 1 = K(y,x). [hyper(66,a,4447,a(flip),b,5316,a)]. 5321 K(x,y) * K(y,x) = 1. [hyper(124,a,5316,a(flip),b,4447,a(flip))]. 5322 K(x \ (y * x),x) = K(y,x). [para(27(a,1),5316(a,1,1))]. 5323 K(x / y,y) = K(y \ x,y). [para(118(a,1),5316(a,1,1)),flip(a)]. 5325 K(T(x,x * y),y) = K(L(x,y,x),y). [para(664(a,1),5316(a,1,1))]. 5326 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(603(a,1),5316(a,1,1))]. 5327 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(726(a,1),5316(a,1,1)),flip(a)]. 5328 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(718(a,1),5316(a,1,1)),flip(a)]. 5329 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(981(a,1),5316(a,1,1)),flip(a)]. 5330 K(x \ (y * L(x,z,u)),x) = K((y / x) * L(x,z,u),x). [para(1568(a,1),5316(a,1,1))]. 5331 K(x,y) \ x = x * K(y,x). [para(5316(a,1),4457(a,1,2)),flip(a)]. 5332 K(x,y) \ 1 != z | K(y,x) = z. [para(5316(a,1),4455(a,1,1))]. 5333 L(x,K(y,z),K(z,y)) = x. [para(5316(a,1),4543(a,1,3))]. 5334 K(x,y) \ z = K(y,x) * z. [para(5316(a,1),4544(a,1,1)),flip(a)]. 5335 K(x * K(y,x),y) = K(x,y). [para(5150(a,1),5316(a,1,1)),flip(a)]. 5336 K(x,x \ (y * x)) = K(x,y). [para(27(a,1),5319(a,1,2))]. 5337 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(28(a,1),5319(a,1,2))]. 5338 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(30(a,2),5319(a,1,2))]. 5339 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(117(a,1),5319(a,1,2))]. 5340 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(231(a,1),5319(a,1,2)),flip(a)]. 5341 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(233(a,1),5319(a,1,2)),flip(a)]. 5342 K(x,y * K(x,y)) = K(x,y). [para(5150(a,1),5319(a,1,2)),flip(a)]. 5344 1 / K(x,y) = K(y,x). [hyper(185,a,5320,a)]. 5345 x / (x * K(y,x)) = K(x,y). [hyper(66,a,4545,a,b,5320,a)]. 5346 (x * K(y,x)) \ x = K(x,y). [hyper(66,a,3555,a,b,5320,a)]. 5347 K(x,y) != z \ 1 | K(y,x) = z. [para(5320(a,1),51(a,1))]. 5348 x * (K(y,z) * K(z,y)) = x. [para(5320(a,1),82(a,1,2,2))]. 5349 x * K(y,z) != 1 | K(z,y) = x. [para(5320(a,1),134(a,1,2)),flip(b)]. 5350 1 / K(x,y) != z | K(y,x) = z. [para(5320(a,1),297(a,1,2)),flip(b)]. 5355 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5320(a,1),1715(a,2,2,1))]. 5356 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5320(a,1),1744(a,1,1,2,2,1)),flip(a)]. 5357 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5320(a,1),1799(a,2,1,2,1))]. 5359 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5320(a,1),4426(a,2,2))]. 5360 K(x,y) * (K(y,x) * z) = z. [para(5320(a,1),4536(a,1,1))]. 5361 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(5320(a,1),4542(a,1,1))]. 5362 1 / (x \ K(x,y)) = x * K(y,x). [hyper(123,a,5321,a(flip),b,4425,a)]. 5364 K(x,y) * z != 1 | K(y,x) = z. [para(5321(a,1),46(a,1)),flip(a)]. 5365 x * (K(y,z) * K(z,y)) != u | x = u. [para(5321(a,2),133(a,1,2))]. 5366 L(x,K(y,z),K(z,y)) != u | x = u. [para(5333(a,1),53(a,2))]. 5367 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4281,a,5149,a),flip(a)]. 5368 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3863,a,5149,a)]. 5370 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(124,a,5149,a,b,14,a)]. 5371 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(66,a,1573,a,b,5149,a)]. 5372 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(66,a,4392,a(flip),b,5149,a),flip(a)]. 5373 x \ T(x * y,y) = y * K(x * y,y). [hyper(66,a,3994,a(flip),b,5149,a)]. 5374 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(124,a,5149,a(flip),b,90,a)]. 5375 T(x,y) \ (y * K(x,y)) = x \ y. [hyper(122,a,5149,a(flip),b,3964,a)]. 5376 (x * y) / x != y * z | K(x,y) = z. [para(5149(a,2),46(a,1))]. 5377 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5149(a,1),298(a,1))]. 5378 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(112(a,1),5149(a,1,1))]. 5379 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5149(a,1),113(a,1,1))]. 5381 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5149(a,2),463(a,1,2))]. 5382 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5149(a,1),488(a,1,1))]. 5383 T(x * K(y,x),x * y) = L(x,y,x). [para(5149(a,1),670(a,1,1))]. 5384 (x * (y * z)) / L(y,z * K(y,z),x) = x * ((y * z) / y). [para(5149(a,1),499(a,1,2,2))]. 5385 T(x * K(y * x,x),y) = R(x,y,x). [para(5149(a,1),713(a,2,1)),flip(a)]. 5386 T((x / y) * K(z,x / y),y) = (z * (y \ x)) / z. [para(5149(a,1),638(a,1,1))]. 5387 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5149(a,1),779(a,1,1))]. 5388 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5149(a,1),783(a,1,1))]. 5389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5149(a,2),95(a,1,2))]. 5390 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(931(a,1),5149(a,1,1))]. 5391 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(5149(a,1),1035(a,1,1))]. 5392 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5149(a,1),780(a,1,1))]. 5393 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5149(a,1),1331(a,2,1,2))]. 5394 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(5149(a,1),1523(a,1,1))]. 5395 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1551(a,1),5149(a,1,1))]. 5396 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5149(a,1),1574(a,2,1)),flip(a)]. 5397 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1614(a,1),5149(a,1,1))]. 5398 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1661(a,1),5149(a,1,1))]. 5399 L(x,y,x * K(y,x)) = L(x,y,x). [para(5149(a,1),4227(a,1,3))]. 5400 T(x * K(y,x),y * x) = L(x,y,x). [para(5149(a,1),4230(a,1,1))]. 5401 ((x \ 1) * y) * K(((x \ 1) * y) \ y,(x \ 1) * y) = (x * (y / x)) / (((x \ 1) * y) \ y). [para(4393(a,1),5149(a,1,1)),flip(a)]. 5402 ((x * y) / x) * z = y * (K(x,y) * z). [para(5149(a,2),4409(a,1,1))]. 5404 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5149(a,1),4527(a,1,1))]. 5405 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(5149(a,1),4961(a,2,2)),flip(a)]. 5406 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5149(a,1),4980(a,1,1,2))]. 5407 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(122,a,5167,a,b,1304,a)]. 5408 (x \ y) \ (y / x) = K(x,x \ y). [para(15(a,1),5167(a,2,2,1)),flip(a)]. 5409 x * K(y,x) != z | (y * x) / y = z. [para(5167(a,2),240(a,1,2)),flip(b)]. 5410 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5167(a,2),303(a,1,2,2))]. 5411 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),1490(a,1,2)),flip(a)]. 5412 K(x,y) = x * (((y * x) / y) \ 1). [hyper(285,a,4263,a,b,5170,a),flip(a)]. 5413 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(122,a,5170,a,b,4263,a),flip(a)]. 5414 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(122,a,5170,a,b,116,a),flip(a)]. 5415 K(x \ 1,y) * K(x \ 1,x) = T(x \ 1,y) * x. [para(5170(a,2),2691(a,1,1))]. 5416 K(x,x \ 1) * K(x,y) = T(x,y) * (1 / x). [para(5170(a,2),2860(a,1,2))]. 5417 K(x \ 1,x) * ((T(x,y) * (1 / x)) * z) = K(x,y) * z. [para(5170(a,2),3709(a,2,1))]. 5418 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5320(a,1),5170(a,2,2)),flip(a)]. 5420 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5191,a),flip(a)]. 5421 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [hyper(38,a,2905,a(flip),b,5191,a),flip(a)]. 5422 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(5191(a,1),19(a,2,1,2)),flip(a)]. 5423 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3224(a,1),5191(a,1,1))]. 5424 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(123,a,875,a,b,5192,a(flip))]. 5425 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(123,a,3994,a(flip),b,5192,a(flip))]. 5426 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(122,a,756,a(flip),b,5192,a(flip))]. 5427 (x * K(y,z)) \ (x * ((y * z) / y)) = L(z,K(y,z),x). [para(5192(a,2),23(a,2,2,2)),flip(a)]. 5431 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5274(a,1),4588(a,1,1))]. 5432 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(636,a,5291,a)]. 5434 x \ (y * (x / y)) = K(y,y \ x). [hyper(66,a,99,a,b,5318,a)]. 5435 x * K(y,y \ x) = y * (x / y). [hyper(124,a,5318,a(flip),b,99,a)]. 5438 (x * (y / x)) \ y = K(x \ y,x). [hyper(66,a,100,a,b,5323,a)]. 5439 (x * (y / x)) * K(x \ y,x) = y. [hyper(124,a,5323,a(flip),b,100,a)]. 5443 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5331(a,1),105(a,1,1))]. 5444 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5331(a,1),4426(a,2,2))]. 5445 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(2234,a,5334,a)]. 5446 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(659,a,5334,a)]. 5447 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(285,a,3199,a,b,5334,a),flip(a)]. 5448 x / (K(y,z) * x) = K(z,y). [hyper(185,a,5334,a)]. 5449 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(122,a,5334,a,b,116,a)]. 5450 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(66,a,3652,a(flip),b,5334,a),flip(a)]. 5452 K(x,y) * z != u | K(y,x) * u = z. [para(5334(a,1),138(a,1))]. 5453 K(x,y) * (K(y,x) * z) != u | u = z. [para(5334(a,1),240(a,1,2))]. 5454 x / (K(y,z) * x) != u | K(z,y) = u. [para(5334(a,1),297(a,1,2)),flip(b)]. 5455 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5334(a,1),129(a,1,2))]. 5458 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5334(a,1),546(a,1,2))]. 5459 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5334(a,1),335(a,1,1,3))]. 5460 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(123,a,5348,a(flip),b,112,a(flip))]. 5461 L(x,K(y,z),K(z,y)) = K(u,w) * (K(w,u) * x) # label(flip_matches_hint). [hyper(285,a,5333,a,b,5360,a)]. 5462 (K(x,y) / y) / (K(z,u) * (1 / T(y,x))) = K(u,z). [hyper(123,a,5132,a,b,5360,a)]. 5463 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [hyper(124,a,5360,a(flip),b,176,a)]. 5464 K(x,y) \ z != u | K(y,x) * z = u. [para(5360(a,1),304(a,1,2)),flip(b)]. 5465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5360(a,1),442(a,1,1)),flip(a)]. 5467 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3193(a,2),5448(a,1,2))]. 5468 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5448(a,1),3718(a,1,2)),flip(a)]. 5473 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(30(a,2),5208(a,1,2))]. 5474 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(32(a,2),5208(a,1,2))]. 5476 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(662(a,2),5208(a,1,2))]. 5477 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3268(a,1),5208(a,1))]. 5478 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5334(a,1),5208(a,1))]. 5479 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(28(a,1),5235(a,1,2))]. 5490 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5122(a,2),105(a,1,1)),flip(a)]. 5491 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(839,a,5126,a)]. 5492 T(1 / x,y) * x = K(x \ 1,y). [hyper(423,a,5126,a)]. 5493 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(66,a,2299,a(flip),b,5126,a)]. 5494 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(66,a,2290,a(flip),b,5126,a)]. 5495 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(66,a,1262,a(flip),b,5126,a)]. 5497 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(124,a,5126,a(flip),b,1262,a(flip)),flip(a)]. 5498 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(122,a,5126,a(flip),b,830,a(flip))]. 5500 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5126(a,1),850(a,2,2))]. 5501 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5126(a,1),1126(a,1,1))]. 5502 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5126(a,1),1289(a,1,1))]. 5503 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5126(a,1),1357(a,2,1))]. 5504 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5126(a,1),1364(a,2,1))]. 5505 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5126(a,1),1344(a,1,2)),flip(a)]. 5506 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),1355(a,2,2))]. 5507 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5126(a,1),2121(a,2,1,2))]. 5512 (x * T(x \ (K((x / y) \ 1,z) * y),u)) / y = (x / y) * T(T((x / y) \ 1,z),u). [para(5135(a,1),1352(a,2,2,1))]. 5514 x \ (T(x,y) * z) = K(x,y) * z. [hyper(128,a,5152,a)]. 5515 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(122,a,5170,a,b,5152,a),flip(a)]. 5516 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(122,a,15,a(flip),b,5152,a),flip(a)]. 5517 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(37,a,4263,a,b,5152,a)]. 5518 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(37,a,1004,a,b,5152,a),flip(a)]. 5519 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(37,a,4325,a(flip),b,5152,a),flip(a)]. 5520 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(37,a,4323,a(flip),b,5152,a),flip(a)]. 5521 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5152(a,1),19(a,2,2,1)),flip(a)]. 5522 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2229(a,1),5152(a,1,2))]. 5523 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(863,a,5153,a)]. 5524 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(285,a,3355,a,b,5153,a),flip(a)]. 5525 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(135,a,5153,a)]. 5526 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(128,a,5153,a)]. 5527 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(122,a,5360,a(flip),b,5153,a),flip(a)]. 5529 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(66,a,5152,a,b,5153,a)]. 5530 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(66,a,5052,a(flip),b,5153,a)]. 5532 (x * y) / (T(x,z) * y) = K(z,x). [hyper(123,a,4510,a(flip),b,5153,a(flip))]. 5533 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(123,a,994,a(flip),b,5153,a(flip))]. 5534 K(x,y) \ (y * z) = T(y,x) * z. [hyper(122,a,4510,a(flip),b,5153,a(flip))]. 5535 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(122,a,5153,a(flip),b,5152,a)]. 5536 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(23(a,2),5153(a,1,2)),flip(a)]. 5537 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(5153(a,1),294(a,1,1)),flip(b)]. 5540 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(5153(a,1),215(a,1,2,2))]. 5541 K(x \ y,z) * K(x \ y,y \ x) = T(x \ y,z) * (1 / (x \ y)). [para(2503(a,1),5153(a,1,2)),flip(a)]. 5542 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5125(a,2),5153(a,1,2)),flip(a)]. 5543 x * (T(x,y) \ K(x,z)) = K(x,z) * K(y,x). [hyper(285,a,2229,a,b,5157,a),flip(a)]. 5544 T(x,y) \ (x * z) = K(y,x) * z. [hyper(66,a,999,a,b,5157,a)]. 5545 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(37,a,4428,a,b,5157,a)]. 5546 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(123,a,4517,a,b,5157,a(flip))]. 5547 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(123,a,4826,a(flip),b,5157,a(flip)),flip(a)]. 5550 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4143(a,1),5157(a,1,2,1))]. 5551 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5157(a,1),4427(a,1,2)),flip(a)]. 5552 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5125(a,2),5157(a,1,2)),flip(a)]. 5557 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(180,a,5187,a),flip(a)]. 5558 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5187(a,1),307(a,1,1)),flip(b)]. 5559 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(37,a,3496,a,b,5193,a),flip(a)]. 5560 (1 / (x \ y)) * (y / x) = K(x,x \ y). [hyper(124,a,5193,a(flip),b,3222,a)]. 5561 R((x \ y) / z,z,K(x,x \ y)) = (y / x) / (z * K(x,x \ y)). [para(5193(a,1),113(a,2,1))]. 5562 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5193(a,1),3221(a,1,2))]. 5563 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5193(a,1),4409(a,1,1)),flip(a)]. 5564 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5193(a,1),4414(a,1,1)),flip(a)]. 5566 T(x \ y,R(y / x,z,u)) = x \ y. [para(5193(a,1),4625(a,1,2,1))]. 5567 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(124,a,4517,a,b,5196,a(flip))]. 5569 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5197(a,1),447(a,1,1))]. 5570 (x * K(y,y \ z)) * z != u * (y * (z / y)) | R(x,K(y,y \ z),z) = u. [para(5197(a,1),475(a,2,2))]. 5571 K(x,(x \ 1) * y) * y = x * (y / x). [para(4664(a,2),5197(a,1,1))]. 5574 x \ (T(x,y) * y) = y * K(x,y). [hyper(122,a,5219,a(flip),b,4468,a(flip))]. 5576 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5219(a,1),303(a,1))]. 5577 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(222(a,1),5219(a,1,2))]. 5578 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(223(a,1),5219(a,1,2))]. 5579 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(5219(a,1),479(a,1,1,1))]. 5583 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5220(a,1),25(a,2,2)),flip(a)]. 5584 K(x,y) * (x / y) = x / T(y,x). [hyper(4339,a,5228,a),flip(a)]. 5585 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(551,a,5228,a),flip(a)]. 5586 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(123,a,5130,a,b,5228,a)]. 5587 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(122,a,5130,a,b,5228,a)]. 5590 T(x,y) * z != x * u | K(y,x) * u = z. [para(5228(a,1),46(a,1)),flip(a)]. 5591 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5228(a,1),304(a,1,2)),flip(b)]. 5592 T(x,y) \ (x * z) != z * u | T(K(y,x),z) = u. [para(5228(a,1),375(a,1,2))]. 5593 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(5233(a,1),3054(a,1,1))]. 5594 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(43,a,5251,a,b,5240,a)]. 5595 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(43,a,5150,a,b,5240,a)]. 5596 T(x * K(x * y,x),y * x) = x. [hyper(43,a,4182,a(flip),b,5240,a),flip(a)]. 5597 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5252(a,1),221(a,1,2,1)),flip(a)]. 5599 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(27(a,2),5269(a,1,2))]. 5600 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5269(a,1),417(a,1,1,1)),flip(a)]. 5601 T(x,y) \ (y \ T(x,y)) = x \ (y \ x). [hyper(122,a,5271,a(flip),b,5153,a)]. 5602 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5069(a,2),5292(a,1,2))]. 5603 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4401(a,2),5293(a,2,2))]. 5604 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5150(a,1),5301(a,1,2,2))]. 5606 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [hyper(124,a,5359,a(flip),b,5174,a)]. 5608 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [hyper(285,a,27,a,b,5375,a),flip(a)]. 5609 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(28(a,1),5375(a,1,1))]. 5610 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5408(a,1),240(a,1,2)),flip(b)]. 5611 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5412(a,2),1147(a,2,2))]. 5612 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3849,a,5434,a)]. 5613 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [hyper(124,a,4665,a(flip),b,5434,a),flip(a)]. 5615 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4905(a,2),5434(a,1,2))]. 5616 T(K(x,x \ y),y) = K(x,x \ y). [hyper(224,a,5197,a,b,5435,a)]. 5617 T(x,K(y,y \ x)) = x. [hyper(224,a,5435,a,b,5197,a)]. 5618 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(66,a,5228,a,b,5435,a)]. 5619 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(66,a,3009,a,b,5435,a)]. 5620 x * (y / x) != y * z | K(x,x \ y) = z. [para(5435(a,1),46(a,1))]. 5621 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5435(a,1),105(a,2,1))]. 5622 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5435(a,1),462(a,1,2))]. 5623 (x \ 1) * (y * K(x,x \ y)) = L(y,x \ 1,x) / x. [para(5435(a,2),2187(a,1,2))]. 5624 K(x,K(y,y \ x)) = 1. [hyper(58,a,5617,a)]. 5625 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4905(a,2),5438(a,1,1))]. 5626 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1588(a,1,2,2,1))]. 5627 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1658(a,1,2,2,1))]. 5628 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(66,a,281,a(flip),b,5492,a),flip(a)]. 5629 K(x \ 1,x) * K(x \ 1,y) = T(x \ 1,y) * x. [para(5492(a,1),4743(a,1,2))]. 5630 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5514(a,1),1016(a,1))]. 5631 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1386,a,5515,a)]. 5632 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(5515(a,1),103(a,1,1))]. 5633 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(5515(a,1),5448(a,1,2))]. 5634 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [hyper(124,a,5516,a(flip),b,4544,a(flip))]. 5635 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5516(a,1),46(a,1))]. 5637 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(41,a,4088,a,b,5526,a),flip(a)]. 5638 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(41,a,4297,a(flip),b,5526,a),flip(a)]. 5643 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(32(a,2),5532(a,1,2,1))]. 5644 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(30(a,2),5533(a,1,2,1))]. 5646 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(123,a,4121,a(flip),b,5544,a(flip))]. 5648 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5545(a,1),445(a,1,1)),flip(a)]. 5649 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5134(a,1),5557(a,2,1)),flip(a)]. 5650 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(5574(a,1),5073(a,2,2,1))]. 5651 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5584(a,1),103(a,1,1))]. 5652 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5584(a,1),176(a,1,2,1))]. 5653 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5585(a,1),240(a,1,2)),flip(b)]. 5655 T(K(x,(x \ 1) * y),y) = K(x,x \ y). [para(4664(a,2),5616(a,1,1))]. 5660 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4231(a,2),5376(a,1,1))]. 5661 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(5385(a,1),4328(a,1,2)),flip(a)]. 5662 K(x,y) * z != u | K(y,x) \ z = u. [para(15(a,1),5453(a,1,2)),flip(b)]. 5664 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3751(a,2),5453(a,1,2)),flip(b)]. 5666 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5158(a,1),5453(a,1,2)),flip(b)]. 5667 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5515(a,1),5454(a,1,2))]. 5668 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(27(a,2),5464(a,1))]. 5670 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3196,a,5520,a)]. 5671 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5520(a,1),4395(a,1,1)),flip(a)]. 5675 T(x,y) \ (x * z) != u | K(x,y) \ z = u. [para(5544(a,2),5662(a,1))]. 5676 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(122,a,5670,a(flip),b,5152,a),flip(a)]. 5677 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,x \ 1). [hyper(122,a,5076,a(flip),b,3667,a)]. 5678 x \ K(y \ (x \ 1),y) = (y \ (x \ 1)) * y. [hyper(122,a,5076,a(flip),b,175,a(flip))]. 5679 K(x \ y,x) \ (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5076(a,1),19(a,2,1)),flip(a)]. 5680 ((1 / x) * y) \ K(y \ x,y) = L(T(y \ x,y),y,1 / x). [para(5076(a,1),216(a,1,2))]. 5682 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(14(a,1),5102(a,1,1,1)),flip(a)]. 5683 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5150(a,1),5133(a,1,1,1)),flip(a)]. 5685 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(123,a,829,a(flip),b,5154,a)]. 5687 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5154(a,1),225(a,2)),flip(a)]. 5688 x / (y * T(y \ x,z)) = K(z,x / y). [para(5154(a,1),5448(a,1,2))]. 5690 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3975(a,1),5159(a,1,2,1))]. 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(66,a,2807,a(flip),b,5166,a)]. 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(66,a,2215,a(flip),b,5166,a)]. 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(66,a,2052,a(flip),b,5166,a)]. 5695 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [hyper(124,a,5166,a(flip),b,1760,a(flip))]. 5696 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(123,a,5166,a(flip),b,798,a)]. 5697 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5166(a,1),25(a,2,2)),flip(a)]. 5698 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5166(a,1),1177(a,2,2))]. 5699 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5166(a,1),2045(a,2,1))]. 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5168(a,2),1357(a,2,1))]. 5702 T(T(1 / x,y) * x,z) / x = (1 / x) * T(K(x \ 1,y),z). [para(5177(a,1),896(a,1,1,1,1))]. 5703 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [hyper(124,a,5186,a(flip),b,27,a(flip))]. 5704 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5208,a,5201,a)]. 5706 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(66,a,4413,a,b,5704,a)]. 5707 K(x,(y \ z) / z) = K(x,y \ 1). [para(15(a,1),5704(a,1,2,2))]. 5708 K(x,(y / z) \ 1) = K(x,z / y). [para(17(a,1),5704(a,1,2,2)),flip(a)]. 5709 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5704(a,1),5234(a,1,1))]. 5712 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(463(a,1),5707(a,1,2,1)),flip(a)]. 5714 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(285,a,4413,a,b,5708,a)]. 5715 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(285,a,13,a,b,5708,a),flip(a)]. 5716 ((x / y) \ 1) \ K(z,y / x) = T((x / y) \ 1,z) \ 1. [hyper(122,a,5708,a(flip),b,5124,a(flip))]. 5718 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5239(a,1),588(a,1,1,1))]. 5719 T(x * K(x * y,x),y) = R(x,y,x). [hyper(38,a,4134,a,b,5242,a),flip(a)]. 5720 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5242,a),flip(a)]. 5721 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(123,a,5243,a,b,5192,a(flip))]. 5722 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(122,a,5243,a,b,5149,a(flip))]. 5723 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5243(a,2),3955(a,2,2))]. 5724 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5243(a,2),5121(a,2,1)),flip(a)]. 5725 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5243(a,2),5241(a,1))]. 5726 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5273(a,1),5259(a,1))]. 5727 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4284(a,2),5726(a,1))]. 5728 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(66,a,5255,a(flip),b,5300,a)]. 5729 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2963(a,1),5338(a,1,2))]. 5730 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5370(a,1),135(a,1))]. 5731 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(5373(a,1),4273(a,2,2))]. 5732 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5243(a,2),5402(a,1,1)),flip(a)]. 5734 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(123,a,1246,a(flip),b,5423,a),flip(a)]. 5735 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5425(a,1),705(a,1,1))]. 5736 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(285,a,3341,a(flip),b,5467,a),flip(a)]. 5737 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(15(a,1),5517(a,1,1,1)),flip(a)]. 5738 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5149(a,1),5517(a,1,1))]. 5740 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(285,a,4124,a,b,5518,a)]. 5742 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5125(a,2),5529(a,1,2,2))]. 5743 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(285,a,3353,a(flip),b,5542,a)]. 5744 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5542(a,2),3362(a,1))]. 5745 T(x,(((y \ z) \ 1) * (z / y)) * u) = T(x,K(y,y \ z) * u). [para(5560(a,1),4816(a,1,2,1)),flip(a)]. 5746 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5150(a,1),5586(a,1,1))]. 5747 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(28(a,1),5587(a,1,2))]. 5748 (x * T(y,x)) * T((x * T(y,x)) \ T(y,x),z) = x * (T(y,x) * T(y \ (x \ y),z)). [para(5601(a,1),830(a,2,2,2,1))]. 5749 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(15(a,1),5638(a,1,2,1,1))]. 5753 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(830(a,1),5688(a,1,2))]. 5754 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1414(a,1),5688(a,1,2))]. 5755 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5696(a,2),713(a,2,1)),flip(a)]. 5756 K(x,(y / z) \ 1) != u * 1 | K(x,z / y) = u. [para(5715(a,2),47(a,1))]. 5757 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5715(a,2),132(a,1)),flip(b)]. 5759 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [hyper(124,a,5743,a,b,176,a)]. 5760 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5743(a,1),46(a,1))]. 5763 T(x,y) * K(x * y,x) = R(x,y,x). [para(4345(a,1),5237(a,1,2))]. 5764 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(122,a,5763,a(flip),b,5152,a),flip(a)]. 5765 K(x * y,T(x,y)) = K(x * y,x). [hyper(37,a,5763,a,b,5367,a),flip(a)]. 5766 K(1 / x,y) != z | K(x \ 1,y) = z. [para(5171(a,1),5477(a,1))]. 5767 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(87(a,1),5766(a,1,1))]. 5770 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5527(a,1),5576(a,1,2))]. 5771 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3856(a,2),5620(a,1))]. 5775 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(116(a,1),5666(a,1,2))]. 5777 K(x,y \ 1) != z | K(x,1 / y) = z. [para(86(a,1),5757(a,1,2,1))]. 5778 K(T(x / y,z),T(x / y,z) \ 1) != u | K(x / y,y / x) = u. [para(3158(a,2),5757(a,1))]. 5783 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(135,a,5156,a)]. 5784 K(x * y,T(y,x)) = K(x * y,y). [hyper(37,a,5130,a(flip),b,5203,a),flip(a)]. 5785 K(x * y,y) = K(y * x,y). [hyper(4346,a,5784,a),flip(a)]. 5786 K(x * y,y) != z | K(y * x,y) = z. [para(5784(a,1),4346(a,1))]. 5787 K(x * (y / x),x) = K(y,x). [para(17(a,1),5785(a,1,1)),flip(a)]. 5788 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5785(a,2),5764(a,1,2))]. 5789 K(T(x,y) * y,x) = K(x * y,x). [para(3955(a,2),5787(a,1,1))]. 5790 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4905(a,2),5787(a,1,1))]. 5791 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3955(a,2),5790(a,1,1,1))]. 5792 K(x * y,y) * K(y,x) = y \ R(y,x,y). [hyper(2236,a,5788,a)]. 5793 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(66,a,3036,a(flip),b,5218,a),flip(a)]. 5794 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [hyper(124,a,5238,a,b,5534,a)]. 5795 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5244,a)]. 5796 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(35(a,1),5244(a,2,2))]. 5798 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5245,a)]. 5799 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [hyper(2416,a,5307,a)]. 5800 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5307(a,1),3418(a,1,1))]. 5801 K(x,y) * (K(y \ 1,y) * z) = ((T(y,x) \ 1) * y) * z. [para(5307(a,1),4776(a,1,1)),flip(a)]. 5802 (x * K(y,y \ 1)) / K(z,y) = x / ((T(y,z) \ 1) * y). [para(5307(a,1),4840(a,2,2))]. 5803 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(123,a,5387,a,b,5192,a(flip))]. 5804 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5387(a,2),5121(a,2,1)),flip(a)]. 5805 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(122,a,5388,a,b,5149,a(flip))]. 5806 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5388(a,2),4199(a,1,1))]. 5807 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5388(a,2),5121(a,2,1)),flip(a)]. 5808 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(5388(a,2),5413(a,1,1)),flip(a)]. 5809 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(5388(a,2),5402(a,1,1)),flip(a)]. 5812 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(285,a,2451,a(flip),b,5407,a)]. 5813 K(x \ y,y \ x) * K(x \ y,z) = T(x \ y,z) * (1 / (x \ y)). [para(2490(a,1),5416(a,1,1))]. 5814 (x * K(y,y \ 1)) * K(y,z) = x * (T(y,z) * (1 / y)). [para(5416(a,1),4891(a,2,2))]. 5815 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(981(a,1),5495(a,1,2,2))]. 5816 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1329(a,1),5495(a,1,2))]. 5817 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1363,a,5497,a),flip(a)]. 5818 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,5497,a),flip(a)]. 5819 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(66,a,838,a(flip),b,5497,a)]. 5820 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(124,a,5497,a(flip),b,838,a(flip))]. 5821 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(123,a,5497,a(flip),b,417,a)]. 5822 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(285,a,5497,a(flip),b,5502,a),flip(a)]. 5824 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(285,a,884,a(flip),b,5502,a),flip(a)]. 5826 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [hyper(123,a,838,a(flip),b,5502,a),flip(a)]. 5827 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(123,a,830,a(flip),b,5502,a)]. 5828 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(123,a,829,a(flip),b,5502,a)]. 5829 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [hyper(122,a,5502,a,b,xx)]. 5830 K((x / y) \ 1,z) = K(y / x,z). [hyper(38,a,5154,a,b,5502,a),flip(a)]. 5832 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(14(a,1),5502(a,2,2,1))]. 5833 K((x / y) \ 1,x) = K(x \ y,x). [hyper(285,a,5323,a(flip),b,5830,a),flip(a)]. 5834 K(x / (y * x),z) = K(y \ 1,z). [para(16(a,1),5830(a,1,1,1)),flip(a)]. 5835 K((x / (y * x)) \ 1,z) = K(y,z). [para(16(a,1),5830(a,2,1))]. 5836 K((x \ y) / y,z) = K(x \ 1,z). [para(87(a,1),5830(a,1,1,1)),flip(a)]. 5837 K(L(x \ y,x,z) / (z * y),u) = K((z * x) \ 1,u). [para(437(a,1),5830(a,1,1,1)),flip(a)]. 5838 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(285,a,5085,a,b,5833,a)]. 5839 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(285,a,4655,a(flip),b,5833,a),flip(a)]. 5840 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(16(a,1),5833(a,1,1,1)),flip(a)]. 5841 K(x \ (y \ x),x) = K(y \ 1,x). [para(87(a,1),5833(a,1,1,1)),flip(a)]. 5845 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5841(a,1),5087(a,1,1,2))]. 5846 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(66,a,4409,a,b,5522,a)]. 5847 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5523(a,2),225(a,2)),flip(a)]. 5848 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(37,a,5529,a,b,5543,a)]. 5850 K(x / (y \ 1),y) = K(y * x,y). [hyper(66,a,5646,a(flip),b,5546,a),flip(a)]. 5852 K(x / (y \ 1),y) = K(x * y,y). [hyper(285,a,5785,a,b,5850,a),flip(a)]. 5853 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3214,a,5552,a)]. 5854 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(122,a,15,a(flip),b,5563,a),flip(a)]. 5865 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5595(a,1),304(a,1,2)),flip(b)]. 5866 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5595(a,1),215(a,1,2,2))]. 5867 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(4181(a,1),5595(a,1,1))]. 5868 T(x,y) * T(y * K(z,y),x) = x * (y * K(z,T(y,x))). [para(5595(a,1),4513(a,1,2))]. 5869 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5595(a,1),5087(a,1,1))]. 5870 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(135,a,5637,a)]. 5871 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5637(a,1),5448(a,1,2))]. 5872 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(66,a,625,a(flip),b,5682,a)]. 5874 K(x,y) = (1 / (y * x)) * (x * y). [hyper(285,a,4955,a,b,5872,a),flip(a)]. 5875 K(x,y) / (x * y) = 1 / (y * x). [hyper(123,a,5872,a,b,4955,a)]. 5876 T(x * y,(y * x) \ 1) = ((y * x) \ 1) \ K(x,y). [hyper(122,a,5872,a,b,116,a),flip(a)]. 5877 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(122,a,5872,a,b,151,a(flip)),flip(a)]. 5880 (x * y) * ((y * x) * (1 / (x * y))) = (((x * y) \ 1) \ 1) * K(y,x). [para(5872(a,2),2912(a,1,2)),flip(a)]. 5882 (1 / ((x \ y) * x)) * y = K(x,x \ y). [hyper(285,a,152,a(flip),b,5874,a)]. 5883 ((1 / (x * y)) * y) \ K(y,x) = L(x,y,(x * y) \ 1). [hyper(122,a,5874,a,b,3667,a)]. 5885 (x * y) * ((y * x) * (1 / (x * y))) = T(y * x,(x * y) \ 1). [para(5875(a,1),3832(a,1,2,2))]. 5886 K(x \ (1 / y),T(x,x \ (y \ 1))) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4856(a,1),5875(a,2,2))]. 5887 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5373(a,2),5721(a,1,1,1))]. 5888 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(5367(a,1),5721(a,1,1,1))]. 5889 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(5595(a,1),5721(a,1,1,1))]. 5890 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5722(a,1),240(a,1,2)),flip(b)]. 5892 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) = K(z,T(x \ 1,y)). [para(3224(a,1),5722(a,1,2,1))]. 5893 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5785(a,1),5722(a,1,2,1,2))]. 5894 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5595(a,1),5724(a,1,1,1))]. 5895 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(66,a,5535,a,b,5737,a)]. 5899 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(5125(a,2),5737(a,1,2))]. 5900 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5742(a,1),46(a,1))]. 5905 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5749(a,1),5453(a,1,2)),flip(b)]. 5906 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5749(a,1),5098(a,2,2))]. 5907 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(90(a,1),5783(a,1,2,1,2))]. 5908 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(5791(a,1),5142(a,2,1))]. 5909 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(41,a,1345,a(flip),b,5829,a),flip(a)]. 5910 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(16(a,1),5829(a,1,2,1,1,1))]. 5913 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [hyper(124,a,5840,a(flip),b,97,a),flip(a)]. 5914 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5421(a,1),5845(a,1,1)),flip(a)]. 5916 ((x * L(y,x,z)) \ (z * (x * y))) \ R(z,x,L(y,x,z)) = K(x * L(y,x,z),R(z,x,L(y,x,z))). [para(854(a,1),5137(a,1,1))]. 5917 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4181(a,1),5160(a,1,2,1)),flip(a)]. 5918 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(28(a,1),5161(a,1,2,1))]. 5919 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(5258(a,1),494(a,1,1)),flip(a)]. 5920 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(38,a,5039,a,b,5272,a),flip(a)]. 5922 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5920(a,2),4797(a,1,2))]. 5923 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4741(a,1),5326(a,2,1,1))]. 5925 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(285,a,5149,a(flip),b,5379,a),flip(a)]. 5926 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5925(a,1),1575(a,1,2,3))]. 5927 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(5073(a,2),5925(a,1,1))]. 5928 R(x * K(y,x),y,x) = x * K(x * y,x). [para(5785(a,1),5925(a,2,2))]. 5929 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(5928(a,1),32(a,2,1))]. 5930 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5396(a,2),4229(a,1,1))]. 5931 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(84(a,1),5455(a,1,2))]. 5941 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(291,a,5460,a),flip(a)]. 5944 T(x,y) \ (x * z) != u * w | u \ (K(x,y) \ z) = w. [para(5544(a,2),5931(a,1))]. 5945 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5941(a,1),32(a,2,1))]. 5946 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5125(a,2),5164(a,1,1))]. 5948 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(124,a,5946,a(flip),b,23,a(flip))]. 5949 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(90(a,1),5946(a,1,1,2)),flip(a)]. 5950 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4596(a,1),5946(a,1,1)),flip(a)]. 5951 R(x,L(K(x,y),z,u),w) = x. [para(5949(a,1),4448(a,1,2))]. 5952 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(5951(a,1),112(a,1,1)),flip(a)]. 5953 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(357(a,1),5950(a,1,2,1)),flip(a)]. 5954 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5950(a,1),5334(a,1,1)),flip(a)]. 5955 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5950(a,1),5946(a,1,1)),flip(a)]. 5956 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(124,a,5953,a(flip),b,104,a),flip(a)]. 5957 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [hyper(285,a,5149,a(flip),b,5386,a),flip(a)]. 5960 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5393(a,1),630(a,1,1))]. 5961 K(x \ 1,y) * (K(x \ 1,x) * z) = (T(x \ 1,y) * x) * z. [para(5415(a,1),4776(a,1,1)),flip(a)]. 5962 K(x \ 1,x) * (y * K(x \ 1,z)) = y * (T(x \ 1,z) * x). [para(5415(a,1),4844(a,2,2))]. 5963 (K(x,y) / y) / (K(z \ 1,z) / T(y,x)) = K(z,z \ 1). [para(3655(a,1),5462(a,1,2))]. 5964 (K(x,y) / y) / (K(z \ u,u \ z) / T(y,x)) = K(u \ z,z \ u). [para(3661(a,1),5462(a,1,2))]. 5965 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(66,a,1416,a(flip),b,5491,a)]. 5966 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(90(a,1),5491(a,1,2,2,1,2))]. 5967 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(116(a,1),5491(a,1,2))]. 5969 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5126(a,1),5493(a,1,1))]. 5970 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,4413,a(flip),b,5969,a),flip(a)]. 5972 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(113(a,1),5969(a,2,1,1))]. 5973 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3341(a,1),5969(a,1,1)),flip(a)]. 5974 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(704(a,1),5970(a,1,1,1))]. 5975 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5973(a,1),5320(a,1,1)),flip(a)]. 5976 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5973(a,1),5334(a,1,1)),flip(a)]. 5977 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(5126(a,1),5494(a,1,1))]. 5978 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(5171(a,1),5494(a,1,1))]. 5979 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [hyper(124,a,5977,a(flip),b,23,a(flip))]. 5980 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1593(a,1),5977(a,1,1)),flip(a)]. 5981 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3341(a,1),5977(a,1,1)),flip(a)]. 5982 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(5977(a,1),4621(a,1,1))]. 5983 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5320(a,1),5977(a,1,1,1)),flip(a)]. 5985 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [hyper(124,a,5981,a(flip),b,5722,a),flip(a)]. 5986 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5981(a,1),5320(a,1,1)),flip(a)]. 5987 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(5981(a,1),5559(a,1,2,2))]. 5988 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5981(a,1),5728(a,2,2,1))]. 5989 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(123,a,5987,a(flip),b,5560,a)]. 5990 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(124,a,5498,a,b,838,a(flip))]. 5991 (x \ y) * T((x \ y) \ (x \ 1),z) = x \ K(y \ 1,z). [para(15(a,1),5498(a,1,2,1,1)),flip(a)]. 5994 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(838(a,1),5504(a,1,2))]. 5996 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5501(a,2),5504(a,1,2))]. 5997 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5342(a,1),5604(a,1,1)),flip(a)]. 5998 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4182(a,1),5608(a,1,1))]. 5999 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [hyper(138,a,5609,a)]. 6000 x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x \ 1,x). [hyper(124,a,5613,a(flip),b,404,a)]. 6001 K(x \ y,y \ x) * K((y \ x) \ 1,z) = T((y \ x) \ 1,z) * (y \ x). [para(2618(a,1),5629(a,1,1))]. 6002 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5479,a,5690,a),flip(a)]. 6004 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(87(a,1),6002(a,1,1)),flip(a)]. 6005 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4111(a,2),6004(a,1,1))]. 6006 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(136,a,5693,a)]. 6007 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5166(a,1),5694(a,1,1)),flip(a)]. 6009 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3366(a,1),6007(a,1,2,1)),flip(a)]. 6010 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(4596(a,1),6007(a,2,1))]. 6012 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6007(a,1),5180(a,1,2))]. 6013 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6010(a,1),3370(a,1,2,1))]. 6014 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6010(a,1),5946(a,1,1)),flip(a)]. 6017 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(5134(a,1),5703(a,1,2))]. 6018 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5031(a,1),5754(a,1,2))]. 6019 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(66,a,278,a(flip),b,5819,a)]. 6020 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5819(a,1),1640(a,2,2,1))]. 6021 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5819(a,2),5721(a,1,1,1))]. 6022 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5320(a,1),5820(a,1,2,2,1,1,2))]. 6023 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4191(a,1),5906(a,1,1,2))]. 6024 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5833(a,1),5907(a,1,1,2))]. 6025 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5073(a,2),6024(a,1,1))]. 6026 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(180,a,6025,a)]. 6027 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(285,a,5142,a,b,5908,a),flip(a)]. 6028 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(6027(a,1),5258(a,1,1,1)),flip(a)]. 6029 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(5910(a,1),240(a,1,2)),flip(b)]. 6030 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3319(a,1),5910(a,1,2,1)),flip(a)]. 6031 (((x \ 1) * y) \ y) * (x \ L(y,x \ 1,x)) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(404(a,2),5913(a,1,2))]. 6032 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(66,a,5950,a(flip),b,5986,a),flip(a)]. 6033 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(185,a,6032,a)]. 6034 L(K(x,y),z,u) != w \ 1 | L(K(y,x),z,u) = w. [para(6032(a,1),51(a,1))]. 6035 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6032(a,1),297(a,1,2)),flip(b)]. 6036 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6033(a,1),307(a,1,1)),flip(b)]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(90(a,1),5996(a,1,2,1,1))]. 6041 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3341(a,1),5996(a,1,2,1))]. 6042 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5149(a,2),5998(a,1,2))]. 6043 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(285,a,5695,a,b,6006,a),flip(a)]. 6044 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(87(a,1),6006(a,1,1,2,1))]. 6045 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(66,a,5848,a(flip),b,6017,a),flip(a)]. 6046 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5708(a,1),6043(a,1,1)),flip(a)]. 6047 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(225,a,6046,a)]. 6049 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(15(a,1),5427(a,1,2,2,1))]. 6050 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5335(a,2),5443(a,1,2))]. 6051 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(205(a,2),5706(a,1,2))]. 6052 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(205(a,1),5720(a,2,3))]. 6053 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(37,a,5034,a(flip),b,5795,a),flip(a)]. 6054 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6053(a,2),4784(a,1,2))]. 6057 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(5798(a,1),5345(a,1,2))]. 6059 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) != u | K(z,T(x \ 1,y)) = u. [para(3224(a,1),5865(a,1,2,1))]. 6060 (1 / L(x,y,(x * y) \ 1)) * ((K(y,x) \ ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),1479(a,1,1,2))]. 6063 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [hyper(124,a,5927,a,b,5373,a)]. 6064 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(5789(a,1),6057(a,1,2,1,2)),flip(a)]. 6065 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(37,a,1965,a,b,5204,a)]. 6066 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),2398(a,2,2))]. 6068 K(x * y,y \ (x \ 1)) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(6065(a,1),2895(a,1,1))]. 6069 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6065(a,1),3686(a,1,1))]. 6070 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6065(a,1),3638(a,1,1,2))]. 6071 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(5929(a,1),5249(a,1,1))]. 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(224,a,6071,a,b,xx)]. 6074 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5785(a,2),6072(a,1,1,1,2))]. 6075 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(6074(a,1),5248(a,1,1))]. 6076 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(592,a,6075,a)]. 6077 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(5253(a,1),4480(a,1,1,1,1))]. 6078 (T(x,y) * (1 / x)) * (z * K(x \ 1,x)) = K(x,y) * z. [hyper(4846,a,5417,a),flip(a)]. 6079 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [hyper(66,a,5503,a(flip),b,5505,a),flip(a)]. 6080 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(224,a,5503,a(flip),b,5505,a(flip)),flip(a)]. 6081 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(90(a,1),6080(a,2,1,1))]. 6082 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3341(a,1),6080(a,2,1))]. 6083 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6081(a,1),5977(a,1,1)),flip(a)]. 6084 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6082(a,1),5977(a,1,1)),flip(a)]. 6086 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5634(a,1),5551(a,1,2)),flip(a)]. 6087 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(285,a,4241,a(flip),b,5577,a),flip(a)]. 6088 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(285,a,4242,a(flip),b,5578,a),flip(a)]. 6090 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5166(a,1),5692(a,1,1))]. 6091 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4477,a,6090,a),flip(a)]. 6092 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(66,a,5969,a(flip),b,6090,a)]. 6093 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,6090,a),flip(a)]. 6094 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4596(a,1),6090(a,1,1)),flip(a)]. 6095 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5708(a,1),6090(a,1,1)),flip(a)]. 6096 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(36(a,1),6091(a,1,2,1))]. 6097 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(66,a,5975,a(flip),b,6094,a)]. 6098 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(66,a,5712,a(flip),b,6095,a),flip(a)]. 6099 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(488(a,1),6095(a,1,2,1)),flip(a)]. 6100 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(461(a,1),6095(a,1,2)),flip(a)]. 6101 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(17(a,1),6098(a,2,2,1))]. 6102 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(17(a,1),6098(a,2,2,2))]. 6103 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(87(a,1),6098(a,1,1,2)),flip(a)]. 6104 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6103(a,1,2))]. 6105 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(14(a,1),6104(a,1,2,2)),flip(a)]. 6106 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(176(a,1),6104(a,1,2,2)),flip(a)]. 6107 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(66,a,5969,a(flip),b,6105,a)]. 6108 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6105(a,1),32(a,2,1))]. 6109 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(495(a,1),6096(a,1,2,1)),flip(a)]. 6110 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(87(a,1),6099(a,1,1,2)),flip(a)]. 6111 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(66,a,2043,a(flip),b,5698,a)]. 6112 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5698(a,1),2073(a,1,1)),flip(a)]. 6113 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(66,a,1179,a(flip),b,5699,a)]. 6115 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(123,a,5732,a(flip),b,4427,a)]. 6116 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(830(a,1),5753(a,1,2,2))]. 6117 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1414(a,1),5753(a,1,2,2))]. 6118 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5379(a,2),5753(a,2,2))]. 6119 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(32(a,2),5818(a,2,2))]. 6120 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5865,a,5893,a),flip(a)]. 6121 K(x * y,T(y,z)) != u | K(y * x,T(y,z)) = u. [para(5893(a,1),5865(a,1))]. 6122 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6120(a,1),4346(a,1))]. 6123 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(66,a,5629,a(flip),b,5899,a),flip(a)]. 6124 x * T(x \ (T(x \ 1,y) * x),z) = (1 / x) \ T(T(x \ 1,y),z). [para(6123(a,1),892(a,1,2,1,2))]. 6125 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(135,a,5909,a),flip(a)]. 6126 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5981(a,1),5954(a,1,1)),flip(a)]. 6127 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(305,a,6126,a),flip(a)]. 6128 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(285,a,2238,a(flip),b,6126,a),flip(a)]. 6129 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6127(a,1),304(a,1,2)),flip(b)]. 6130 ((x / y) * K(z,x / y)) * y = y * ((y \ x) * K(z,y \ x)). [hyper(124,a,5957,a(flip),b,27,a(flip)),flip(a)]. 6131 K(T(x / y,z),T(x / y,z) \ 1) = (K(u,w) / w) / (K(x \ y,y \ x) / T(w,u)). [para(3464(a,1),5963(a,1,2,1)),flip(a)]. 6132 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5497(a,1),5965(a,1,1))]. 6133 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6094(a,1),5976(a,1,1)),flip(a)]. 6134 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(305,a,6133,a),flip(a)]. 6135 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(185,a,6133,a)]. 6136 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(123,a,176,a(flip),b,6133,a(flip))]. 6137 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6133(a,2),132(a,1)),flip(b)]. 6138 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6134(a,1),304(a,1,2)),flip(b)]. 6139 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(196,a,6136,a)]. 6141 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5101(a,1),6136(a,1,2,1))]. 6142 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(5197(a,1),6136(a,1,2,1))]. 6143 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(66,a,153,a(flip),b,6141,a),flip(a)]. 6144 K(((x \ y) * ((x \ 1) \ 1)) \ 1,z) = (x \ K(y \ 1,z)) * ((x \ 1) \ 1). [para(5991(a,1),5965(a,1,1)),flip(a)]. 6145 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(285,a,5910,a(flip),b,6030,a),flip(a)]. 6146 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = K(x,y) * ((x \ 1) * z). [para(3744(a,1),6078(a,1,2))]. 6147 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6084(a,1),5334(a,1,1)),flip(a)]. 6148 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6044(a,2),6113(a,1,2))]. 6149 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(14(a,1),6148(a,1,2,2)),flip(a)]. 6152 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(4596(a,1),6149(a,1,1)),flip(a)]. 6153 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(6032(a,2),6128(a,2,2)),flip(a)]. 6154 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(123,a,5284,a(flip),b,116,a)]. 6155 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5298(a,1),1833(a,1,2))]. 6156 ((1 / (x * y)) * (x * y)) / L(x,y * K(x,y),1 / (x * y)) = a((x * y) \ 1,(x * y) / x,x) / x. [hyper(285,a,3939,a,b,5384,a),flip(a)]. 6157 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5219(a,1),5431(a,1,2,2))]. 6158 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(767,a,6157,a),flip(a)]. 6159 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5536(a,1),456(a,1,1))]. 6160 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6138,a,5652,a)]. 6163 ((1 / x) * y) \ K(y \ x,y) = T(((1 / x) * y) \ 1,y). [hyper(285,a,697,a,b,5680,a),flip(a)]. 6164 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4639(a,1),5755(a,1,1,1))]. 6165 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(32(a,2),5888(a,1,1))]. 6166 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [hyper(285,a,5160,a(flip),b,5917,a),flip(a)]. 6168 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5972(a,1),112(a,1,1))]. 6170 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5833(a,1),5972(a,1,1))]. 6171 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(14(a,1),6170(a,1,1,1))]. 6172 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4787,a,5979,a),flip(a)]. 6173 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(37,a,5922,a,b,5979,a)]. 6174 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5979(a,1),46(a,1)),flip(a)]. 6175 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(268(a,1),5979(a,1,2,1,1))]. 6176 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(124,a,6172,a(flip),b,1252,a)]. 6177 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6176(a,1),2647(a,1,1))]. 6178 (L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(6000(a,1),4314(a,1,1,1))]. 6179 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(830(a,1),6029(a,1))]. 6180 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6053(a,2),6054(a,2,2,2))]. 6181 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(37,a,5405,a,b,6063,a),flip(a)]. 6182 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(285,a,6065,a(flip),b,6069,a),flip(a)]. 6184 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(66,a,6135,a,b,6139,a)]. 6185 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(285,a,4791,a(flip),b,6164,a),flip(a)]. 6186 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6171(a,1),3189(a,1,2))]. 6187 x * (T(y,x) * T(y \ (x \ y),z)) != u | K(x \ 1,z) * T(y,x) = u. [para(5601(a,1),6179(a,1,2,2,1))]. 6188 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1579(a,1),5096(a,1,1,1,2,1))]. 6189 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(285,a,4938,a(flip),b,5104,a),flip(a)]. 6191 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5414(a,2),5215(a,1,2,1))]. 6192 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5256(a,2),5286(a,1,2,1))]. 6193 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5150(a,1),6192(a,1,2,1)),flip(a)]. 6194 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(66,a,5152,a,b,5306,a)]. 6195 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1628,a,5378,a),flip(a)]. 6196 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(684(a,1),5506(a,1,1))]. 6197 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),6196(a,1,1,2))]. 6199 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(224,a,6197,a,b,15,a),flip(a)]. 6200 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(123,a,150,a(flip),b,6197,a)]. 6201 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(123,a,6197,a(flip),b,112,a)]. 6204 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6200(a,1),118(a,1,1))]. 6205 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5131(a,1),6200(a,1,1)),flip(a)]. 6206 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(128,a,6205,a)]. 6207 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(66,a,3441,a,b,6206,a)]. 6208 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(16(a,1),6207(a,1,2,2))]. 6209 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(66,a,3339,a,b,6208,a)]. 6210 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(66,a,5628,a(flip),b,6208,a)]. 6211 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [hyper(124,a,6209,a(flip),b,5408,a)]. 6212 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(38,a,5492,a,b,6210,a)]. 6213 R(T(1 / x,y * x),x,y) = (x * y) \ y. [para(6212(a,2),4835(a,1,1))]. 6214 T(R(1 / x,x,y),y * x) = (x * y) \ y. [hyper(66,a,32,a(flip),b,6213,a)]. 6215 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(285,a,4571,a(flip),b,6199,a),flip(a)]. 6216 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(285,a,2979,a(flip),b,5593,a),flip(a)]. 6217 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(5335(a,1),5650(a,2,2))]. 6219 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5523(a,1),5685(a,1,1,2)),flip(a)]. 6220 (1 / x) * T(K(x \ 1,y),z) = T(K(x \ 1,y),z) / x. [para(5492(a,1),5702(a,1,1,1)),flip(a)]. 6221 T(K(x \ 1,y),z) \ (T(K(x \ 1,y),z) / x) = 1 / x. [hyper(122,a,6220,a(flip),b,3365,a)]. 6222 (T(K(x \ 1,y),z) * (((1 / x) \ 1) \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(6221(a,1),2524(a,1,1,2,1,1))]. 6223 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(28(a,1),5747(a,1,1))]. 6224 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1427(a,1),5827(a,1,1))]. 6225 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(6074(a,1),5889(a,1,1))]. 6226 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(66,a,502,a,b,5914,a)]. 6227 ((K(x \ 1,x) * y) * K(x \ 1,z)) \ ((T(x \ 1,z) * x) * y) = K(K(x \ 1,z),K(x \ 1,x) * y). [hyper(122,a,5961,a(flip),b,96,a)]. 6228 ((T(x \ 1,y) * x) * z) \ ((K(x \ 1,x) * z) * K(x \ 1,y)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(5961(a,1),21(a,2,1)),flip(a)]. 6229 (K(x \ 1,x) * y) * K(x \ 1,z) = y * (T(x \ 1,z) * x). [hyper(66,a,3646,a,b,5962,a)]. 6230 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5497(a,2),6022(a,1,2))]. 6231 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(90(a,1),6040(a,2,1,1))]. 6232 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(14(a,1),6231(a,1,2,2)),flip(a)]. 6234 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(123,a,6232,a,b,xx)]. 6235 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(122,a,6232,a,b,116,a)]. 6238 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3341(a,1),6041(a,2,1))]. 6239 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(27(a,2),6238(a,1,2,2))]. 6240 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(123,a,6066,a(flip),b,2893,a)]. 6241 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),6066(a,1,1))]. 6242 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4250(a,1),6087(a,1,2))]. 6243 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4250(a,1),6088(a,1,2))]. 6244 (x * K(y,(x \ z) \ 1)) / z = (x / z) * K(y,x / z). [hyper(123,a,5956,a(flip),b,6130,a)]. 6245 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(337,a,6132,a)]. 6246 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(4596(a,1),6152(a,1,2,1)),flip(a)]. 6247 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(5361(a,1),6246(a,2,2))]. 6249 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(384,a,6191,a)]. 6250 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5327(a,1),6195(a,1,2)),flip(a)]. 6251 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(285,a,5372,a(flip),b,6250,a),flip(a)]. 6252 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(15(a,1),6251(a,1,1,1)),flip(a)]. 6253 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2853(a,1),6215(a,1,2)),flip(a)]. 6254 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(39,a,5448,a,b,6219,a(flip))]. 6256 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(128,a,6230,a)]. 6257 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6230(a,1),46(a,1))]. 6258 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(414(a,1),6230(a,1,2)),flip(a)]. 6259 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(135,a,6254,a),flip(a)]. 6261 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1149(a,1),6254(a,1,1,2))]. 6262 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6254(a,1),5454(a,1,2))]. 6263 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5452,a,6261,a),flip(a)]. 6264 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5360(a,1),6261(a,1,2,2)),flip(a)]. 6265 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(122,a,82,a(flip),b,6263,a),flip(a)]. 6266 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(122,a,6265,a,b,1479,a)]. 6267 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4483,a,6264,a)]. 6268 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6256(a,1),4922(a,1,1))]. 6269 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(5026,a,6258,a)]. 6270 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6258(a,2),46(a,1))]. 6273 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6269(a,2),4785(a,1,2))]. 6274 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(14(a,1),6268(a,1,1,2,1)),flip(a)]. 6275 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6274(a,2),47(a,1))]. 6276 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5068(a,2),505(a,1))]. 6277 R((x \ 1) / (y \ T(x \ 1,z)),y \ T(x \ 1,z),K(x,x \ 1)) = (1 / x) / (y \ T(1 / x,z)). [para(3928(a,1),5561(a,2,2))]. 6278 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5334(a,1),5621(a,1,1))]. 6279 K(L(x,y,x),y) = K(x,y). [hyper(5660,a,5371,a)]. 6280 K(T(x,x * y),y) = K(x,y). [hyper(66,a,5325,a,b,6279,a)]. 6281 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [hyper(5464,a,5679,a)]. 6283 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(4475,a,5809,a),flip(a)]. 6284 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(116(a,1),5866(a,1,2)),flip(a)]. 6285 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(285,a,3211,a(flip),b,6284,a)]. 6286 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(285,a,345,a(flip),b,5980,a),flip(a)]. 6288 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1080(a,1),6286(a,1,2))]. 6289 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(59,a,6288,a)]. 6290 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(57,a,6289,a)]. 6291 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1242(a,2),6290(a,1,1))]. 6292 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6291(a,1),4311(a,1,2)),flip(a)]. 6293 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(285,a,2554,a(flip),b,6292,a),flip(a)]. 6294 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1242(a,1),6293(a,1,1))]. 6295 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5063(a,2),6112(a,1,2))]. 6296 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(98(a,1),6226(a,1,3,2))]. 6297 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4188(a,1),6252(a,1,1)),flip(a)]. 6298 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(285,a,3997,a(flip),b,6297,a),flip(a)]. 6299 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(38,a,5406,a,b,6298,a),flip(a)]. 6300 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(285,a,5444,a,b,6299,a),flip(a)]. 6301 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4252(a,1),6300(a,1,2))]. 6302 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(180,a,6301,a)]. 6303 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5444(a,1),6302(a,1,1))]. 6304 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5149(a,2),6303(a,1,1,2))]. 6305 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(y \ 1,x \ y,x). [hyper(285,a,3935,a(flip),b,6281,a),flip(a)]. 6306 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(265,a,6295,a)]. 6307 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3826(a,1),6306(a,1,2)),flip(a)]. 6309 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(4596(a,1),6307(a,1,1,2))]. 6311 (x * K(y,z)) * y = x * T(y,z). [para(3029(a,1),6309(a,2,2))]. 6312 R(x,K(y,z),y) = x. [hyper(5282,a,6311,a)]. 6313 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(285,a,3193,a,b,6311,a),flip(a)]. 6315 x * T(y * K(x,z),x) = y * T(x,z). [hyper(264,a,6311,a)]. 6316 (x * T(y,z)) / y = x * K(y,z). [hyper(135,a,6311,a)]. 6317 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(128,a,6311,a)]. 6319 (x / T(y,z)) * K(y,z) = x / y. [hyper(123,a,17,a(flip),b,6311,a),flip(a)]. 6320 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(38,a,1224,a,b,6311,a),flip(a)]. 6321 (x / y) * T(y,z) = x * K(y,z). [hyper(38,a,1204,a,b,6311,a)]. 6322 (x * y) * K(y,z) = x * T(y,z). [hyper(38,a,1200,a,b,6311,a),flip(a)]. 6323 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6311(a,1),19(a,2,1,2)),flip(a)]. 6327 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5128(a,1),6311(a,1,1))]. 6328 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6311(a,1),5788(a,1,2,1))]. 6329 R(x,R(K(y,z),u,w),y) = x. [para(6094(a,1),6312(a,1,2))]. 6330 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6329(a,1),112(a,1,1)),flip(a)]. 6331 (x * K(y,z)) / T(y,z) = x / y. [hyper(123,a,6316,a(flip),b,1206,a(flip))]. 6332 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6316,a(flip),b,1206,a(flip))]. 6333 x / y != z * K(y,u) | z * T(y,u) = x. [para(6316(a,1),49(a,1)),flip(a)]. 6334 L(x,K(x,y),z) = x. [hyper(5281,a,6317,a)]. 6335 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(66,a,6050,a(flip),b,6334,a)]. 6336 (x * K(y,z)) * (y * K(z,y)) = x * y. [hyper(124,a,6334,a(flip),b,6050,a(flip))]. 6337 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6334(a,1),410(a,1,2,1))]. 6338 (x * K(y,z)) * R(y,u,w) = x * (K(y,z) * R(y,u,w)). [para(6334(a,1),411(a,1,2,1))]. 6343 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4495(a,1),6319(a,1,1))]. 6344 x * T(x \ y,z) = y * K(x \ y,z). [hyper(315,a,6321,a)]. 6346 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,5028,a(flip),b,6321,a),flip(a)]. 6348 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(123,a,6321,a(flip),b,6311,a)]. 6349 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(122,a,175,a(flip),b,6321,a(flip))]. 6351 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6321(a,1),882(a,1,2,1))]. 6352 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5120(a,2),6321(a,1,1))]. 6353 R(x,y,K(y,z)) = x. [hyper(5213,a,6322,a)]. 6355 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(285,a,5023,a,b,6322,a),flip(a)]. 6357 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(224,a,6322,a,b,15,a),flip(a)]. 6358 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(128,a,6322,a)]. 6359 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(122,a,17,a(flip),b,6322,a)]. 6361 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(37,a,5948,a(flip),b,6322,a(flip)),flip(a)]. 6362 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(6322(a,1),23(a,2,2,2)),flip(a)]. 6366 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6322(a,1),513(a,1))]. 6367 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6322(a,1),469(a,1,1))]. 6369 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6353(a,1),2528(a,1,1,1))]. 6372 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6332(a,1),5870(a,1,2))]. 6373 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6332(a,1),5871(a,1,1))]. 6374 L(K(x,y),x,z) = K(x,y). [hyper(5212,a,6358,a)]. 6375 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6358(a,1),240(a,1,2)),flip(b)]. 6380 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(285,a,5320,a,b,6374,a),flip(a)]. 6382 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6374(a,1),34(a,1,1)),flip(a)]. 6383 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6374(a,1),413(a,1,2,1))]. 6384 (x \ 1) * T(K(x \ 1,y),z) = x \ T(K(x \ 1,y),z). [para(6374(a,1),504(a,1,2,1)),flip(a)]. 6385 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6374(a,1),506(a,1,2,1))]. 6388 L(K(x,y),y,z) = K(x,y). [hyper(6034,a,6380,a)]. 6389 L(K(x,y),x,z) != u | K(x,y) = u. [para(6380(a,2),5332(a,1))]. 6390 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(285,a,6388,a,b,6388,a)]. 6392 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(66,a,5953,a(flip),b,6388,a)]. 6393 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(124,a,6388,a(flip),b,106,a),flip(a)]. 6394 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(124,a,6388,a(flip),b,23,a(flip))]. 6395 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6388(a,1),35(a,1,1)),flip(a)]. 6403 L(K(x,y),y,z) != u | K(x,y) = u. [para(6390(a,1),3653(a,1)),flip(b)]. 6404 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5777,a,6392,a)]. 6406 T(K(x,y / z),y) = K(x,z \ y). [hyper(66,a,6047,a,b,6392,a)]. 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(14(a,1),6392(a,1,2,1)),flip(a)]. 6408 K(x,((y * z) \ y) \ 1) = K(x,z). [para(14(a,1),6392(a,2,2))]. 6409 K(x,y \ (y / z)) = K(x,z \ 1). [para(90(a,1),6392(a,1,2,1)),flip(a)]. 6410 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(105(a,2),6392(a,1,2,1))]. 6411 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(657(a,1),6392(a,1,2,1)),flip(a)]. 6412 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(993(a,1),6392(a,1,2,1))]. 6414 T(x \ y,K(z,y \ x)) = x \ y. [para(6392(a,1),2090(a,1,2))]. 6416 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5334(a,1),6392(a,1,2,1))]. 6417 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6392(a,1),5946(a,1,1)),flip(a)]. 6418 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6392(a,1),5695(a,1,2))]. 6419 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6392(a,1),6043(a,2,2))]. 6420 K(x,y / z) * y = y * K(x,z \ y). [para(6392(a,1),6046(a,1,2)),flip(a)]. 6421 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6392(a,1),6090(a,1,1)),flip(a)]. 6422 (x * K(y,z \ x)) / z = (x / z) * K(y,x / z). [para(6392(a,1),6244(a,1,1,2))]. 6423 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5953(a,1),6403(a,1))]. 6424 K(x,x / y) = K(x,y \ x). [hyper(66,a,3343,a(flip),b,6406,a)]. 6425 K(x,(y \ z) \ z) = T(K(x,y),z). [para(87(a,1),6406(a,1,1,2)),flip(a)]. 6427 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(6406(a,1),5319(a,1,2)),flip(a)]. 6428 K(x,(y \ x) \ x) = K(x,y). [para(87(a,1),6424(a,1,2)),flip(a)]. 6429 K(x,x / (x / y)) = K(x,y). [para(90(a,1),6424(a,2,2))]. 6433 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5877(a,2,2))]. 6434 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(285,a,6388,a,b,6408,a)]. 6437 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [hyper(124,a,6414,a(flip),b,27,a(flip))]. 6439 K(x,T(y,y \ z)) = T(K(x,y),z). [para(117(a,2),6425(a,1,2))]. 6440 T(K(x,y),z * y) = K(x,T(y,z)). [para(4140(a,2),6425(a,1,2)),flip(a)]. 6441 T(K(x,y),y * z) = K(x,T(y,z)). [para(14(a,1),6439(a,1,2,2)),flip(a)]. 6442 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(285,a,6440,a,b,6441,a)]. 6443 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [hyper(124,a,6441,a(flip),b,27,a(flip))]. 6445 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(122,a,2430,a,b,6315,a),flip(a)]. 6447 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6315(a,1),263(a,1))]. 6453 (x * K(x \ y,z)) \ y = (x \ y) * K(z,x \ y). [para(15(a,1),6335(a,1,2))]. 6454 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6335(a,1),1667(a,1,2,2,1,2)),flip(a)]. 6455 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6335(a,1),1609(a,1,1)),flip(a)]. 6456 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5730,a,6336,a)]. 6457 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(123,a,17,a(flip),b,6336,a)]. 6459 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5847,a,6344,a),flip(a)]. 6460 T(K(x / y,z),x) = K(y \ x,z). [hyper(5687,a,6344,a)]. 6461 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,6344,a),flip(a)]. 6462 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(66,a,838,a(flip),b,6344,a)]. 6466 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [hyper(122,a,838,a(flip),b,6344,a(flip))]. 6467 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [hyper(37,a,5505,a(flip),b,6344,a(flip))]. 6468 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(37,a,5497,a(flip),b,6344,a(flip))]. 6471 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(6344(a,2),2202(a,1,1))]. 6472 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6344(a,2),3211(a,1,2,1)),flip(a)]. 6473 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6344(a,2),3210(a,1,1,1)),flip(a)]. 6475 K((x \ y) \ y,y) = K(x,y). [hyper(285,a,3183,a(flip),b,6459,a),flip(a)]. 6476 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [hyper(124,a,6475,a(flip),b,21,a(flip))]. 6477 K(x / y,x) = K(y \ x,x). [para(90(a,1),6475(a,1,1,1)),flip(a)]. 6478 K((x / y) \ 1,y) = K(x \ y,y). [hyper(66,a,5830,a,b,6477,a)]. 6479 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(66,a,5200,a,b,6477,a)]. 6480 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(66,a,5836,a(flip),b,6477,a),flip(a)]. 6481 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(66,a,3246,a(flip),b,6460,a)]. 6482 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(285,a,625,a(flip),b,6468,a),flip(a)]. 6484 K((x * y) \ x,z) = K(y \ 1,z). [para(14(a,1),6468(a,1,1,1)),flip(a)]. 6485 K(x \ (x / y),z) = K(y \ 1,z). [para(90(a,1),6468(a,1,1,1)),flip(a)]. 6488 K(((x / y) * x) \ (y * (x / y)),z) = K(T(y \ x,x) \ 1,z). [para(4364(a,1),6468(a,1,1,1)),flip(a)]. 6490 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5334(a,1),6468(a,1,1,1))]. 6491 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6468(a,1),5162(a,1,1))]. 6496 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(66,a,6478,a,b,6484,a)]. 6497 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(6484(a,1),399(a,1,2))]. 6511 1 / (x * K(y,x)) = K(x,y) / x. [hyper(123,a,5321,a(flip),b,6393,a)]. 6512 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(122,a,5321,a(flip),b,6393,a)]. 6513 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(5193(a,1),6393(a,1,2))]. 6514 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(66,a,5997,a(flip),b,6511,a)]. 6515 K(x,y) / x = 1 / ((y * x) / y). [para(5149(a,2),6511(a,1,2)),flip(a)]. 6516 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(6511(a,1),5254(a,2,1)),flip(a)]. 6518 K(x,y) * (1 / x) = K(x,y) / x. [hyper(5464,a,6514,a)]. 6519 T(1 / ((x * y) / x),y) = y \ K(y,x). [para(6515(a,1),118(a,1,1))]. 6520 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(756(a,1),6515(a,2,2))]. 6521 R(x,y,K(z,y)) = x. [hyper(475,a,6394,a)]. 6523 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5193(a,1),6394(a,2,2))]. 6524 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6394(a,1),6311(a,1,1))]. 6526 K(x,L(x,y,z) / u) = K(x,u \ L(x,y,z)). [hyper(38,a,3354,a(flip),b,6420,a),flip(a)]. 6527 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6442(a,2),5418(a,1,1))]. 6528 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(66,a,5393,a(flip),b,6456,a)]. 6529 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(66,a,153,a(flip),b,6456,a)]. 6533 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5193(a,1),6457(a,1,2)),flip(a)]. 6534 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(66,a,6082,a(flip),b,6467,a),flip(a)]. 6535 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(66,a,3462,a(flip),b,6467,a),flip(a)]. 6536 ((x * y) / x) * T(T(((x * y) / x) \ 1,y),z) = T(y \ K(y,x),z) * ((x * y) / x). [para(6519(a,1),424(a,1,1,1)),flip(a)]. 6537 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5193(a,1),6528(a,1,1,2))]. 6538 K(((x \ 1) * y) \ y,(x \ 1) * y) = K(x,x \ y). [hyper(285,a,5655,a(flip),b,6534,a),flip(a)]. 6540 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(112(a,1),6535(a,1,1,1))]. 6542 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(6361(a,2),5180(a,1))]. 6545 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5146(a,1),6375(a,1,1))]. 6546 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5192(a,2),6375(a,1,1))]. 6547 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [hyper(124,a,6382,a(flip),b,106,a),flip(a)]. 6548 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4598(a,2),6423(a,1))]. 6549 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6047(a,2),6423(a,1))]. 6550 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(116(a,1),6434(a,2,2,1,1))]. 6551 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6434(a,1),3653(a,1)),flip(b)]. 6554 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(12(a,1),6551(a,1,2,1,1))]. 6555 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(1959(a,2),6554(a,1,2))]. 6556 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2383(a,1),6554(a,1,2))]. 6557 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2484(a,2),6554(a,1,2))]. 6558 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3585(a,2),6554(a,1,2))]. 6559 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3497(a,1),6313(a,1,1)),flip(a)]. 6560 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(66,a,5317,a(flip),b,6357,a),flip(a)]. 6561 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5153(a,2),6416(a,1,2,1))]. 6562 K(x,T(K(y,z) * u,w) \ 1) = T(K(x,u \ K(z,y)),w). [para(6416(a,1),6007(a,2,1))]. 6563 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(285,a,2060,a(flip),b,6418,a)]. 6564 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6418(a,1),46(a,1))]. 6565 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(285,a,5564,a(flip),b,6443,a),flip(a)]. 6566 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3185(a,1),6443(a,1,2,2)),flip(a)]. 6567 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4963,a,6462,a)]. 6568 K((x \ 1) \ y,y) = K(x * y,y). [hyper(37,a,5373,a(flip),b,6462,a(flip)),flip(a)]. 6569 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6462(a,1),1671(a,2,2,1))]. 6570 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6462(a,1),4922(a,1,1))]. 6571 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6462(a,1),4927(a,1,1))]. 6572 K((x \ 1) \ y,y) = K(y * x,y). [hyper(285,a,5785,a(flip),b,6568,a),flip(a)]. 6573 K((1 / x) * y,y) = K(x \ y,y). [para(90(a,1),6568(a,1,1,1)),flip(a)]. 6574 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(17(a,1),6466(a,1,2,2,1)),flip(a)]. 6575 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(66,a,5965,a(flip),b,6471,a)]. 6576 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6575(a,1),5990(a,1,2,2))]. 6577 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6490(a,1),6080(a,2,1))]. 6578 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(66,a,1233,a,b,6513,a)]. 6580 K(K(x,x \ y) / (z * (y / x)),u) = K((z * (x \ y)) \ 1,u). [para(6523(a,1),5834(a,1,1,2))]. 6581 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5149(a,2),6524(a,1,1,2))]. 6582 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6524(a,1),5422(a,1,2))]. 6583 R(K(x,(y / z) \ L(x,u,w)),L(x,u,w),z) = K(x,(L(x,u,w) * z) / y). [para(6526(a,1),6102(a,1,1))]. 6585 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(16(a,1),6537(a,1,1)),flip(a)]. 6586 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6576(a,1),1690(a,2,2,1))]. 6587 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(66,a,153,a(flip),b,6578,a),flip(a)]. 6588 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3368,a,b,6581,a),flip(a)]. 6590 T(x / (y / z),K(z,z \ y)) = K(z \ y,z) * (x / (z \ y)). [hyper(224,a,6587,a,b,5360,a)]. 6592 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6491,a,5142,a(flip))]. 6593 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [hyper(124,a,6592,a(flip),b,27,a(flip))]. 6594 T(x,(y * z) \ y) = T(x,z \ 1). [para(14(a,1),6592(a,1,2,1)),flip(a)]. 6596 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(23(a,2),6592(a,1,2,1)),flip(a)]. 6597 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(27(a,2),6592(a,1,2,1))]. 6599 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6592(a,1),3046(a,1,2))]. 6600 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5334(a,1),6592(a,2,2))]. 6601 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(632,a,6594,a),flip(a)]. 6603 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6597(a,2),249(a,1,2))]. 6604 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(285,a,358,a,b,6601,a)]. 6605 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(185,a,6604,a)]. 6606 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4977(a,1),6605(a,1,2))]. 6607 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(6352(a,1),46(a,1)),flip(a)]. 6608 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6383(a,1),5355(a,1,2))]. 6609 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(66,a,5110,a,b,6385,a)]. 6610 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6385(a,1),5111(a,1,1,1)),flip(a)]. 6611 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2958(a,1),6417(a,1,2,1)),flip(a)]. 6612 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [hyper(124,a,6437,a(flip),b,5544,a)]. 6613 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6461(a,1),2959(a,1,2))]. 6614 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(285,a,4020,a(flip),b,6476,a),flip(a)]. 6615 x / R(1 / (y \ 1),y \ 1,x) = ((y \ 1) * x) * K(y,y \ x). [para(6538(a,1),5091(a,1,2)),flip(a)]. 6616 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(38,a,4355,a,b,6559,a)]. 6617 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5134(a,2),6616(a,1,2))]. 6618 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6617(a,1),32(a,2,1))]. 6619 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6618(a,1),394(a,1,1))]. 6620 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(117(a,1),6619(a,1,1,1))]. 6621 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6620(a,1),4572(a,1,1,1))]. 6622 (x * ((1 / y) / x)) * y != z | K(x,(x * y) \ 1) = z. [para(6563(a,2),125(a,1))]. 6623 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5197(a,2),6563(a,1,1))]. 6624 T((x / y) * K((L(y,z,u) \ 1) \ (x / y),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(1568(a,1),6571(a,2,2))]. 6625 K(x,x * (y / x)) = K(x,y). [hyper(4270,a,6614,a)]. 6626 K(x,y * x) = K(x,x * y). [para(16(a,1),6625(a,1,2,2)),flip(a)]. 6627 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4905(a,2),6625(a,1,2))]. 6628 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4912(a,1),6625(a,1,2)),flip(a)]. 6629 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4913(a,1),6625(a,1,2))]. 6630 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5063(a,2),6625(a,1,2))]. 6631 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(93(a,1),6626(a,2,2))]. 6632 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4913(a,1),6627(a,1,2,1))]. 6633 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4105(a,2),6629(a,2,2))]. 6634 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(66,a,6417,a(flip),b,6410,a)]. 6635 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6389,a,6634,a),flip(a)]. 6636 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(15(a,1),6634(a,2,2,1))]. 6637 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(15(a,1),6634(a,2,2,2))]. 6638 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(90(a,1),6634(a,1,1,2)),flip(a)]. 6639 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6634(a,1),6389(a,1))]. 6640 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(15(a,1),6635(a,1,2,1)),flip(a)]. 6641 K(x,(1 / y) * x) = K(x,y \ x). [para(162(a,1),6635(a,1,2))]. 6642 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(105(a,2),6635(a,1,2))]. 6643 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4523(a,1),6642(a,1,2))]. 6644 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [hyper(124,a,6636,a(flip),b,23,a(flip))]. 6645 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6636(a,1),6389(a,1))]. 6646 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6638(a,1,2))]. 6647 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(285,a,6032,a,b,6646,a),flip(a)]. 6648 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(16(a,1),6646(a,1,2,2)),flip(a)]. 6649 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(66,a,6395,a,b,6648,a)]. 6650 K(L(x,y * z,u) \ 1,z) = K(x \ 1,L(z,y,u)). [hyper(66,a,5977,a(flip),b,6648,a)]. 6651 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(5347,a,6647,a)]. 6652 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6647(a,2),6036(a,1))]. 6653 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(16(a,1),6651(a,1,1,2)),flip(a)]. 6654 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(87(a,1),6651(a,1,1,2)),flip(a)]. 6655 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4120(a,1),6651(a,1,1,2))]. 6656 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6403,a,6653,a),flip(a)]. 6657 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(6653(a,1),6403(a,1))]. 6658 K(L(x,y,z),y * x) = K(x,x * y). [hyper(285,a,6626,a(flip),b,6656,a),flip(a)]. 6659 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6403,a,6654,a),flip(a)]. 6660 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4072,a,6654,a)]. 6661 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(105(a,1),6654(a,2,1))]. 6662 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(268(a,1),6654(a,2,1))]. 6663 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(453(a,1),6654(a,2,1))]. 6664 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(458(a,1),6654(a,2,1))]. 6665 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(453(a,1),6659(a,1,1)),flip(a)]. 6666 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6158(a,1),6659(a,1,1))]. 6667 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6660(a,1),5314(a,1,1))]. 6669 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6648(a,1),6649(a,1,1))]. 6670 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6652(a,1,2))]. 6671 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(66,a,6669,a(flip),b,6663,a)]. 6672 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [hyper(124,a,6663,a(flip),b,23,a(flip))]. 6673 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(19(a,2),6663(a,2,1))]. 6674 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6663(a,1),6403(a,1))]. 6675 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(285,a,626,a(flip),b,6479,a)]. 6677 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(66,a,6285,a,b,6550,a)]. 6678 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(285,a,6640,a(flip),b,6643,a),flip(a)]. 6679 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(66,a,4691,a(flip),b,6662,a),flip(a)]. 6681 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(66,a,5368,a,b,6679,a)]. 6682 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3351(a,1),6330(a,2,2))]. 6683 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(37,a,5130,a(flip),b,6355,a)]. 6684 K(K(x \ 1,x) * y,z) = K(y,z). [para(1906(a,1),6683(a,1,1,1))]. 6687 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2830(a,1),6683(a,1,1))]. 6688 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2860(a,1),6683(a,1,1))]. 6689 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2888(a,1),6683(a,1,1))]. 6690 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2897(a,1),6683(a,1,1)),flip(a)]. 6691 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2909(a,1),6683(a,1,1)),flip(a)]. 6692 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2947(a,1),6683(a,1,1))]. 6694 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2975(a,1),6683(a,1,1)),flip(a)]. 6695 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3684(a,1),6683(a,1,1))]. 6696 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3897(a,1),6683(a,1,1))]. 6697 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4851(a,1),6683(a,1,1))]. 6698 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4867(a,2),6683(a,1,1))]. 6699 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4878(a,1),6683(a,1,1))]. 6702 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3710(a,1),6684(a,1,1))]. 6703 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4883(a,2),6684(a,1,1))]. 6704 K((x \ K(y \ 1,y)) * z,u) = K((x \ 1) * z,u). [para(4875(a,1),6684(a,1,1))]. 6705 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4884(a,1),6684(a,1,1))]. 6706 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4893(a,1),6684(a,1,1))]. 6707 K((((x \ 1) \ 1) * y) \ z,u) = K((x * y) \ z,u). [para(4894(a,1),6684(a,1,1))]. 6708 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(5020(a,2),6684(a,1,1))]. 6709 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(15(a,1),6687(a,2,1))]. 6710 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(3422(a,2),6687(a,1,1,2))]. 6711 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3581(a,1),6687(a,1,1,2)),flip(a)]. 6712 K(x * (y \ 1),x) = K(y \ x,x). [hyper(66,a,6572,a(flip),b,6691,a)]. 6714 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3585(a,2),6691(a,1,1,1))]. 6715 K((1 / x) \ y,y) = K(y * x,y). [para(90(a,1),6712(a,1,1,2)),flip(a)]. 6716 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5413(a,1),6712(a,1,1,2)),flip(a)]. 6717 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(6712(a,1),5807(a,1,1,1,2))]. 6718 K((1 / x) \ y,y) = K(x * y,y). [hyper(285,a,5785,a,b,6715,a),flip(a)]. 6719 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(66,a,625,a(flip),b,6718,a),flip(a)]. 6720 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(66,a,6468,a,b,6696,a)]. 6721 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [hyper(124,a,6697,a(flip),b,97,a)]. 6722 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (x \ 1),y)) * x. [para(6697(a,1),4958(a,2,1,2))]. 6723 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6697(a,1),6567(a,2,2))]. 6724 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2830(a,1),6698(a,1,1,2))]. 6725 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2947(a,1),6698(a,1,1,2))]. 6727 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3754(a,1),6698(a,1,1,2))]. 6728 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5294(a,1),6698(a,1,1,2)),flip(a)]. 6729 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,6661,a,b,6728,a)]. 6730 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4880(a,1),6703(a,1,1,1))]. 6731 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4995(a,1),6703(a,1,1,1))]. 6732 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(2947(a,1),6708(a,1,1,2))]. 6733 K((x \ K(y \ z,z \ y)) * u,w) = K((x \ 1) * u,w). [para(2618(a,1),6704(a,1,1,1,2))]. 6734 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,5966,a,b,6705,a)]. 6735 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2951(a,1),6705(a,1,1,1)),flip(a)]. 6737 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(15(a,1),6724(a,2,1,2))]. 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2520(a,2),6411(a,1,2))]. 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(66,a,6561,a(flip),b,6412,a),flip(a)]. 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(15(a,1),6739(a,1,2,1)),flip(a)]. 6741 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5251(a,1),6577(a,1,1,1)),flip(a)]. 6742 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6741(a,1),52(a,1)),flip(a)]. 6743 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(14(a,1),6599(a,1,2,2))]. 6744 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(285,a,6641,a(flip),b,6719,a),flip(a)]. 6745 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5786,a,6744,a)]. 6746 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(285,a,6640,a(flip),b,6745,a),flip(a)]. 6747 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3642(a,1),6730(a,1,1,1,2))]. 6748 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4282(a,1),6730(a,1,1,1)),flip(a)]. 6749 K(((x \ 1) * (y \ x)) \ 1,z) = (1 / x) * (K(y,z) * x). [para(5523(a,1),6734(a,1,2)),flip(a)]. 6750 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(285,a,6653,a(flip),b,6362,a),flip(a)]. 6751 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(285,a,6374,a,b,6750,a)]. 6752 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(873,a,6582,a),flip(a)]. 6753 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(90(a,1),6606(a,1,2,2)),flip(a)]. 6754 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5799(a,1),6445(a,1,1)),flip(a)]. 6755 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(285,a,6419,a,b,6623,a),flip(a)]. 6756 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6644(a,1),46(a,1)),flip(a)]. 6757 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(78(a,1),6644(a,1,2,2)),flip(a)]. 6759 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(37,a,6757,a(flip),b,6672,a),flip(a)]. 6760 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6672(a,1),46(a,1)),flip(a)]. 6761 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(15(a,1),6759(a,1,1,2)),flip(a)]. 6762 (1 / x) \ ((y \ (x \ 1)) * y) = ((y \ (x \ 1)) * y) * x. [para(5678(a,1),6722(a,2,1))]. 6763 K(x \ 1,x) * K(y \ (x \ 1),y) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,2980,a,b,6762,a)]. 6764 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(78(a,1),6743(a,2,2))]. 6765 ((x \ 1) * y) * K(x,x \ y) = y / R(x,x \ 1,y). [para(87(a,1),6615(a,1,2,1)),flip(a)]. 6767 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4656(a,1),5093(a,2,2))]. 6768 K(x \ 1,x) * K(y \ (x \ 1),y) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),5107(a,1,2))]. 6769 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(5189(a,2),1970(a,1,2))]. 6770 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(66,a,1342,a(flip),b,5600,a),flip(a)]. 6771 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1224(a,2),6770(a,2,2))]. 6772 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5342(a,1),5683(a,2,2))]. 6773 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5359(a,1),6772(a,1,2))]. 6774 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6773(a,1),221(a,1,2,1))]. 6775 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6234(a,1),5828(a,2,1,1))]. 6776 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(4181(a,1),5867(a,1,2,2)),flip(a)]. 6777 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(285,a,5595,a(flip),b,6776,a),flip(a)]. 6778 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4912(a,1),6777(a,1,2)),flip(a)]. 6779 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5950(a,1),5988(a,1,1))]. 6780 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(66,a,5887,a(flip),b,6021,a),flip(a)]. 6781 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(66,a,6468,a(flip),b,6780,a)]. 6782 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(32(a,2),6781(a,1,2))]. 6783 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5698(a,1),6111(a,1,1))]. 6786 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6783(a,2,2))]. 6787 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6786(a,1,1,2))]. 6788 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5031(a,1),6117(a,1,2,2))]. 6790 (1 / x) \ T(T(x \ 1,y),z) != u | T(T(x \ 1,y),z) * x = u. [para(6124(a,1),688(a,1))]. 6791 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6014(a,1),6147(a,1,1)),flip(a)]. 6792 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2963(a,1),6791(a,1,1)),flip(a)]. 6793 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2963(a,1),6792(a,1,1)),flip(a)]. 6794 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(285,a,4596,a(flip),b,6173,a),flip(a)]. 6795 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(6554,a,6794,a)]. 6796 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(6795(a,2),5320(a,1,1)),flip(a)]. 6797 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(285,a,5320,a(flip),b,6796,a)]. 6798 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6174,a,6180,a)]. 6799 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(268(a,1),6798(a,1,1,1))]. 6800 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6798(a,1),2446(a,1,1))]. 6801 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6798(a,1),2686(a,1,1))]. 6802 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6798(a,2),5321(a,1,1))]. 6803 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5364,a,6802,a)]. 6804 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(122,a,6803,a(flip),b,1903,a(flip))]. 6805 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(341(a,1),6804(a,1,2,1))]. 6806 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(122,a,6805,a(flip),b,1921,a(flip)),flip(a)]. 6807 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(709,a,6235,a)]. 6808 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(116(a,1),6807(a,2,2))]. 6809 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6807(a,1),6083(a,1,1,1)),flip(a)]. 6810 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(285,a,6081,a(flip),b,6809,a),flip(a)]. 6811 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6810(a,1),649(a,1,2,1)),flip(a)]. 6812 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(262,a,6283,a),flip(a)]. 6813 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4409(a,1),6812(a,2,1))]. 6814 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(23(a,2),6673(a,1,1,1,1))]. 6815 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(701,a,6755,a)]. 6816 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(66,a,6143,a(flip),b,6815,a)]. 6817 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4952(a,1),6816(a,1,2))]. 6818 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(285,a,5708,a(flip),b,6817,a),flip(a)]. 6819 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(66,a,6018,a(flip),b,6818,a)]. 6820 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4953(a,1),6818(a,1,2))]. 6821 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(571(a,1),6820(a,1,2,2))]. 6822 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(15(a,1),6761(a,1,2)),flip(a)]. 6823 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1839(a,2),6822(a,1,2))]. 6824 (x \ 1) / (y * ((1 / x) / y)) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,6763,a(flip),b,6768,a),flip(a)]. 6825 (x * (((y \ z) * y) * (1 / z))) * a(x,K((1 / z) \ K(y \ z,y),1 / z),K(y \ z,y)) = (x * K((1 / z) \ K(y \ z,y),1 / z)) * K(y \ z,y). [para(5083(a,1),5113(a,1,1,2,1))]. 6826 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(66,a,5379,a,b,5395,a)]. 6827 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5395(a,1),713(a,2,1)),flip(a)]. 6828 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5395(a,1),880(a,1,1,1))]. 6829 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5725,a,6827,a)]. 6830 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1886(a,1),6827(a,1,1,2,1,2))]. 6831 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5595(a,1),6827(a,1,1))]. 6832 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6826(a,1),1620(a,1,1,2)),flip(a)]. 6833 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5397(a,1),880(a,1,1,1))]. 6834 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(838(a,1),5507(a,1,2))]. 6835 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(783(a,2),5611(a,1,2,2,1))]. 6836 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5795(a,1),5796(a,1,1,1))]. 6837 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(285,a,6057,a(flip),b,6064,a),flip(a)]. 6838 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1408(a,1),6201(a,1,2))]. 6839 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(285,a,5816,a(flip),b,6472,a),flip(a)]. 6840 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(66,a,6677,a(flip),b,6839,a),flip(a)]. 6841 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(66,a,6468,a(flip),b,6840,a),flip(a)]. 6842 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6423,a,6841,a),flip(a)]. 6843 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(27(a,2),6842(a,2,2))]. 6844 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(17(a,1),6843(a,1,1,1)),flip(a)]. 6845 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(66,a,5807,a(flip),b,6717,a),flip(a)]. 6846 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(34(a,1),6845(a,1,1))]. 6847 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(6181(a,1),6845(a,1,1)),flip(a)]. 6848 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6751(a,1,1,1))]. 6849 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3820(a,1),6753(a,2,2))]. 6850 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(66,a,3824,a(flip),b,6849,a),flip(a)]. 6851 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3029(a,1),6850(a,1,2,2)),flip(a)]. 6852 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3029(a,1),6851(a,1,1,1)),flip(a)]. 6853 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(180,a,6852,a)]. 6854 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(118(a,1),6853(a,1,1,1,1))]. 6855 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(118(a,1),6854(a,2,2))]. 6856 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(285,a,116,a(flip),b,6800,a),flip(a)]. 6859 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2610(a,2),6801(a,2,2))]. 6860 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1814(a,1),6835(a,1,2))]. 6862 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6838(a,1),479(a,1))]. 6863 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(66,a,6856,a(flip),b,6859,a),flip(a)]. 6864 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(180,a,6863,a)]. 6865 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5054(a,1,1,2))]. 6866 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(37,a,5795,a,b,6865,a(flip))]. 6868 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(453(a,1),6866(a,1,2)),flip(a)]. 6869 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(19(a,2),6868(a,2,2))]. 6870 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(1972,a,5188,a)]. 6871 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6423,a,6870,a)]. 6873 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3914,a,b,6871,a)]. 6874 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3730,a,b,6873,a)]. 6875 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3239,a(flip),b,6874,a)]. 6876 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,6871,a,b,6875,a),flip(a)]. 6877 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5136(a,2),5231(a,2,2,1,1))]. 6878 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(122,a,5236,a(flip),b,5157,a),flip(a)]. 6879 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(4596(a,1),5736(a,1,2,2))]. 6880 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(5981(a,1),5985(a,1,1,2)),flip(a)]. 6881 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5319(a,1),6880(a,1,2,1)),flip(a)]. 6882 K(x \ y,y \ x) * K(x \ y,z) = T((y \ x) \ 1,z) * (y \ x). [para(6468(a,1),6001(a,1,2))]. 6883 T((x \ y) \ 1,z) * (x \ y) = T(y \ x,z) * (1 / (y \ x)). [hyper(66,a,5813,a(flip),b,6882,a),flip(a)]. 6884 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(285,a,1965,a(flip),b,6070,a),flip(a)]. 6886 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(116(a,1),6116(a,1,2,2,2))]. 6887 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(6123(a,2),6886(a,2,2,2,2))]. 6888 (x \ K(y \ 1,z)) * ((x \ 1) \ 1) = K(((x \ y) * x) \ 1,z). [hyper(66,a,6706,a(flip),b,6144,a),flip(a)]. 6889 K(((x \ y) * x) \ 1,y) = K(y \ 1,y). [hyper(4984,a,6888,a),flip(a)]. 6890 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(13(a,1),6155(a,2,1,2,2))]. 6891 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(66,a,5822,a(flip),b,6168,a)]. 6893 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(90(a,1),6245(a,1,1,1,1,2)),flip(a)]. 6894 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6468(a,1),6893(a,1,2))]. 6895 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(6697(a,1),6894(a,1,2))]. 6896 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(37,a,4692,a,b,6895,a)]. 6897 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(6896(a,1),5977(a,1,1))]. 6898 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6322(a,1),6367(a,1,2)),flip(a)]. 6899 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(285,a,25,a,b,6898,a),flip(a)]. 6900 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6898(a,2),479(a,1))]. 6901 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(66,a,36,a,b,6899,a)]. 6902 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(14(a,1),6569(a,1,1,2,1)),flip(a)]. 6903 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6731(a,1),6723(a,2,2))]. 6904 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(66,a,6886,a(flip),b,6788,a),flip(a)]. 6905 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(242(a,1),6788(a,1,2))]. 6906 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5822(a,1),6891(a,2,1))]. 6907 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(285,a,6895,a(flip),b,6903,a),flip(a)]. 6908 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(224,a,6906,a(flip),b,6175,a(flip)),flip(a)]. 6910 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(27(a,2),6908(a,1,2,1,1,2)),flip(a)]. 6911 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(285,a,5497,a,b,6910,a),flip(a)]. 6912 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6468(a,1),6911(a,1,1,2)),flip(a)]. 6913 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(66,a,4946,a(flip),b,4968,a),flip(a)]. 6914 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3757(a,2),4975(a,1,1))]. 6915 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5245(a,1),5250(a,1,2))]. 6916 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5925(a,1),6915(a,2,3))]. 6917 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4250(a,1),6916(a,1,2))]. 6918 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(285,a,5258,a(flip),b,6028,a),flip(a)]. 6920 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(285,a,5708,a(flip),b,6109,a),flip(a)]. 6921 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(66,a,6095,a(flip),b,6920,a)]. 6922 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6424(a,1),6921(a,1,1))]. 6923 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(32(a,2),6540(a,1,2))]. 6924 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(14(a,1),6828(a,2,1,1))]. 6925 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(14(a,1),6833(a,2,1,1))]. 6926 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5063(a,2),6913(a,1,2))]. 6927 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(262,a,6914,a),flip(a)]. 6928 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6681(a,1),6927(a,2,1))]. 6929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6928(a,1),6018(a,1,2)),flip(a)]. 6930 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(285,a,5448,a(flip),b,6929,a),flip(a)]. 6932 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(66,a,6819,a(flip),b,6930,a)]. 6933 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(66,a,6429,a(flip),b,6930,a)]. 6934 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(6933(a,1),6090(a,1,1))]. 6935 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(112(a,1),6932(a,1,2,2,2))]. 6936 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(285,a,3729,a(flip),b,6923,a),flip(a)]. 6938 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6936(a,1),3390(a,1,1))]. 6939 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(265,a,6926,a),flip(a)]. 6940 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5439(a,1),5108(a,1,1,2,1))]. 6941 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(135,a,6940,a)]. 6942 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [hyper(185,a,6941,a(flip))]. 6943 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5360(a,1),5465(a,2,2))]. 6944 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(285,a,14,a(flip),b,6943,a),flip(a)]. 6947 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(6944(a,1),53(a,1)),flip(a)]. 6948 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(222(a,1),5626(a,1,2)),flip(a)]. 6949 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5320(a,1),6948(a,1,1,2,1))]. 6950 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(223(a,1),5627(a,1,2)),flip(a)]. 6951 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5320(a,1),6950(a,1,1,2,1))]. 6952 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(14(a,1),6020(a,1,1,2,1)),flip(a)]. 6953 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6468(a,1),6952(a,1,2,1,2))]. 6954 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(4598(a,1),6052(a,1,1,2))]. 6955 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(6511(a,1),6193(a,2,1))]. 6956 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5150(a,1),6955(a,1,1,1))]. 6957 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(180,a,6956,a)]. 6958 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6957(a,1,1,2))]. 6959 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(32(a,2),6782(a,2,2))]. 6960 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(66,a,989,a(flip),b,6878,a)]. 6962 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3022(a,1),6954(a,1,1))]. 6963 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(6711(a,1),6962(a,1,1,1))]. 6964 (((x \ 1) * y) \ y) * T(L(y,x \ 1,x) / x,x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(118(a,2),6031(a,1,2))]. 6965 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3138(a,1),6119(a,1,2,1,1))]. 6966 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3341(a,1),6965(a,1,2))]. 6967 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(66,a,5714,a(flip),b,6473,a),flip(a)]. 6969 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1417(a,1),6967(a,1,1))]. 6970 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(66,a,5827,a(flip),b,6969,a)]. 6971 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6729(a,1),6613(a,1,1))]. 6972 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1673(a,2),6834(a,1,2))]. 6973 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(265,a,6972,a)]. 6974 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5994(a,1),6973(a,1,2)),flip(a)]. 6975 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5144(a,1),6974(a,2,2))]. 6976 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(90(a,1),6975(a,1,1,2,1))]. 6977 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(90(a,1),6976(a,2,2,1,2))]. 6978 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(122,a,802,a(flip),b,6977,a(flip))]. 6979 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(122,a,6977,a(flip),b,6787,a(flip))]. 6982 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(117(a,1),6978(a,2,1))]. 6983 L(K(x,y),y \ 1,z) = K(x,y). [hyper(66,a,5490,a(flip),b,6979,a)]. 6984 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(6979(a,1),134(a,1,2)),flip(b)]. 6986 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,5977,a(flip),b,6983,a)]. 6988 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6982(a,1),4922(a,1,1)),flip(a)]. 6989 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(66,a,4313,a(flip),b,6988,a)]. 6990 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(90(a,1),6989(a,2,1,1,1))]. 6991 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(66,a,4316,a(flip),b,6990,a)]. 6992 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * ((y * x) / x)). [para(16(a,1),6991(a,1,1,1)),flip(a)]. 6993 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * y). [para(16(a,1),6992(a,2,2,2))]. 6994 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(118(a,1),4825(a,1,2))]. 6996 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(66,a,4994,a(flip),b,6994,a)]. 6997 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(87(a,1),6996(a,1,1,1)),flip(a)]. 6999 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(66,a,3936,a(flip),b,6997,a)]. 7000 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(183(a,1),6999(a,1,1)),flip(a)]. 7001 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(117(a,2),7000(a,1,1))]. 7002 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4996(a,1),4993(a,2,2))]. 7003 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(66,a,5498,a,b,5057,a)]. 7004 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6747(a,1),7003(a,1,2))]. 7005 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6273(a,1),7004(a,2,1))]. 7006 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5125(a,2),7005(a,2,1,1))]. 7007 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(124,a,2701,a(flip),b,7006,a),flip(a)]. 7008 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(117(a,1),7007(a,2,2,2))]. 7009 (x / y) * T(T((x / y) \ 1,z),u) = (x * T(T(x \ y,z),u)) / y. [para(5829(a,1),5512(a,1,1,2,1)),flip(a)]. 7010 (x * y) * T((y * T(x,y)) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),5748(a,1,1))]. 7011 (x * y) * T((x * y) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),7010(a,1,2,1,1))]. 7012 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(112(a,1),5919(a,1,1)),flip(a)]. 7013 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(4477,a,7012,a),flip(a)]. 7014 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(5579,a,7013,a)]. 7016 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,6922,a(flip),b,7014,a)]. 7017 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,7014,a),flip(a)]. 7018 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(15(a,1),7014(a,1,2)),flip(a)]. 7019 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5157(a,1),7014(a,1,2))]. 7020 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5529(a,1),7014(a,1,2)),flip(a)]. 7021 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(66,a,3613,a,b,7017,a)]. 7022 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(122,a,7017,a(flip),b,3613,a)]. 7023 K(R(x,x \ 1,y),z) = K(x,z). [hyper(285,a,352,a(flip),b,7018,a),flip(a)]. 7024 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(110(a,1),7018(a,1,1))]. 7026 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(37,a,3692,a,b,7021,a)]. 7027 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(7022(a,1),5216(a,1,2)),flip(a)]. 7028 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(128,a,7026,a)]. 7030 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(66,a,5013,a(flip),b,7028,a)]. 7031 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(90(a,1),7024(a,1,1,2,1)),flip(a)]. 7032 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(17(a,1),7031(a,2,1,1))]. 7033 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(17(a,1),7031(a,2,1,2))]. 7034 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(3900,a,7027,a)]. 7035 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6477(a,1),7032(a,1,1))]. 7036 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6093(a,2),7034(a,1,2))]. 7037 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4231(a,2),7016(a,1,2,1,1))]. 7038 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4344,a,7036,a)]. 7039 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(136,a,7038,a)]. 7040 x / R(x,y,z) = R(x,y,z) \ x. [hyper(66,a,1616,a(flip),b,7039,a)]. 7041 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(136,a,7040,a)]. 7042 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(7040(a,1),6098(a,1,1,2))]. 7043 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(4704(a,1),7041(a,1,1,1))]. 7044 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(7041(a,1),4926(a,1,1,1))]. 7045 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5287,a,7044,a)]. 7046 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(4704(a,1),7043(a,1,2))]. 7047 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(322,a,7046,a)]. 7048 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(66,a,4854,a(flip),b,7047,a)]. 7049 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [hyper(124,a,7048,a(flip),b,117,a(flip))]. 7050 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5191(a,1),5926(a,1,1))]. 7051 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1563,a,7050,a)]. 7052 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5245(a,1),7051(a,2,1))]. 7053 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4250(a,1),7052(a,2,1))]. 7054 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = (K(w,v5) / v5) / (K(x \ (z * y),(z * y) \ x) / T(v5,w)). [para(6876(a,1),6131(a,2,2,1))]. 7055 (T(K(x \ 1,y),z) * (x \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(90(a,1),6222(a,1,1,2,1))]. 7056 ((x \ 1) * T(K(x \ 1,y),z)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(3349(a,1),7055(a,1,1))]. 7057 T(K(x \ 1,y),z) * K(x \ 1,x) = (x \ T(K(x \ 1,y),z)) * x. [para(6384(a,1),7056(a,1,1)),flip(a)]. 7058 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ T(K(x \ 1,z),y)) * x. [para(6080(a,2),7057(a,1,1))]. 7059 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ K(T(x,y) \ 1,z)) * x. [para(6080(a,2),7058(a,2,1,2))]. 7060 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(285,a,4932,a,b,6351,a)]. 7061 ((x * y) * T(T((x * y) \ x,y),z)) / x = T(y \ K(y,x),z) * ((x * y) / x). [hyper(66,a,7009,a(flip),b,6536,a)]. 7062 (x * (y * T(T(y \ 1,y),z))) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(831(a,1),7061(a,1,1))]. 7063 T(x \ K(x,y),z) * ((y * x) / y) = (y * (T(x \ 1,z) * x)) / y. [para(221(a,1),7062(a,1,1,2)),flip(a)]. 7064 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3839(a,1),7060(a,1,1)),flip(a)]. 7065 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7064(a,1),6372(a,1,1)),flip(a)]. 7066 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(7064(a,1),6373(a,1,2)),flip(a)]. 7067 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3657(a,1),5009(a,1,2))]. 7068 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4869(a,1),5010(a,1,2)),flip(a)]. 7069 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(285,a,23,a,b,7068,a),flip(a)]. 7072 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1388(a,1),7069(a,1,2)),flip(a)]. 7074 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(66,a,6983,a(flip),b,7072,a),flip(a)]. 7077 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [hyper(124,a,7074,a(flip),b,23,a(flip))]. 7078 R(x,y,K(z,y \ 1)) = x. [hyper(475,a,7077,a)]. 7080 R(x,y \ 1,K(z,y)) = x. [para(4596(a,1),7078(a,1,3))]. 7081 R(x,y \ z,K(u,z \ y)) = x. [para(6392(a,1),7078(a,1,3))]. 7082 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(66,a,5209,a(flip),b,7080,a)]. 7083 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7081(a,1),462(a,1,1))]. 7084 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5128(a,1),7082(a,1,2))]. 7085 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(180,a,7084,a)]. 7087 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7083(a,1),6890(a,1,2))]. 7088 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(66,a,6612,a(flip),b,7087,a),flip(a)]. 7090 T(x,(y \ z) * (z \ y)) = x. [hyper(57,a,7088,a)]. 7093 T(x,y * ((z * y) \ z)) = x. [para(14(a,1),7090(a,1,2,1))]. 7096 K(x,y * ((z * y) \ z)) = 1. [hyper(58,a,7093,a)]. 7098 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(774,a,5398,a),flip(a)]. 7099 T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). [hyper(5890,a,7098,a)]. 7100 ((x * y) * z) \ (R(y,x,z) * (x * z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(223(a,1),5815(a,1,2))]. 7101 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(112(a,1),7100(a,1,2)),flip(a)]. 7102 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(66,a,5704,a(flip),b,5974,a),flip(a)]. 7104 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(285,a,5830,a(flip),b,7102,a),flip(a)]. 7105 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,5704,a(flip),b,7104,a)]. 7107 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(66,a,5830,a(flip),b,7105,a)]. 7108 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6836(a,1),6077(a,1,1))]. 7109 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(285,a,5718,a(flip),b,7108,a),flip(a)]. 7110 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(35(a,1),7109(a,1,1,2))]. 7111 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1354(a,1),6118(a,1,2))]. 7112 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(14(a,1),7111(a,1,2,1,2,1))]. 7113 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6779(a,1),6609(a,1,1))]. 7114 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(66,a,5602,a(flip),b,6905,a),flip(a)]. 7116 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(66,a,6904,a(flip),b,7114,a)]. 7117 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(242(a,1),7116(a,1,2,2))]. 7118 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,x \ y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(5623(a,2),6964(a,1,2,1))]. 7119 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(66,a,4842,a(flip),b,7067,a)]. 7120 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3749(a,1),7119(a,1,2))]. 7121 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5664,a,7120,a),flip(a)]. 7123 R(x,1 / y,z) = R(x,y \ 1,z). [para(1103(a,1),7121(a,1,2)),flip(a)]. 7127 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7123(a,1),3589(a,1,2))]. 7128 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2954(a,1),7127(a,1,2,1))]. 7129 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4039(a,1),7128(a,1,2,1)),flip(a)]. 7130 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4711(a,1),7129(a,1,1)),flip(a)]. 7131 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(180,a,7130,a)]. 7132 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(66,a,3425,a(flip),b,7131,a)]. 7133 T(x,y * (((z * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(90(a,1),4997(a,1,2,2,1,1,1))]. 7135 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3735(a,1),7133(a,1,2,2,1)),flip(a)]. 7136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(66,a,7002,a,b,7135,a)]. 7137 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3646(a,1),7136(a,1,2))]. 7138 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(66,a,4809,a(flip),b,7137,a),flip(a)]. 7140 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(122,a,7138,a(flip),b,5130,a(flip)),flip(a)]. 7141 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(285,a,5125,a,b,7140,a),flip(a)]. 7142 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1905(a,1),7141(a,1,2,2,1))]. 7143 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(15(a,1),7142(a,2,2))]. 7144 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(87(a,1),7142(a,1,2,2,1)),flip(a)]. 7145 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(90(a,1),7142(a,1,2,2)),flip(a)]. 7146 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2770(a,2),7142(a,1,2,2))]. 7147 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(14(a,1),7143(a,1,2,2)),flip(a)]. 7148 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2960(a,1),7143(a,1,2,2))]. 7149 K(x,K(y \ 1,y) * z) = K(x,z). [para(2991(a,1),7143(a,1,2))]. 7150 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2649(a,1),7149(a,1,2)),flip(a)]. 7153 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2915(a,1),7149(a,1,2))]. 7154 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2976(a,1),7149(a,1,2))]. 7155 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(3130(a,1),7149(a,1,2))]. 7156 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3656(a,2),7149(a,1,2))]. 7157 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3892(a,1),7149(a,1,2)),flip(a)]. 7158 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4852(a,1),7149(a,1,2)),flip(a)]. 7159 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4883(a,2),7149(a,1,2))]. 7160 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4884(a,1),7149(a,1,2))]. 7161 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4886(a,1),7149(a,1,2))]. 7163 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4895(a,1),7149(a,1,2))]. 7164 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(5020(a,2),7149(a,1,2))]. 7165 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5021(a,2),7149(a,1,2))]. 7167 K(x,(1 / x) * y) * y = x * (y / x). [para(7147(a,2),5571(a,1,1))]. 7169 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2933(a,2),7153(a,1,2,1))]. 7170 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(66,a,6208,a(flip),b,7154,a),flip(a)]. 7171 x * K(x \ (1 / y),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(7154(a,1),3621(a,1,2))]. 7172 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7157(a,1),6934(a,1,1)),flip(a)]. 7173 (1 / x) * K(y,y \ (x \ 1)) = y * ((1 / x) / y). [hyper(124,a,7158,a(flip),b,5434,a)]. 7174 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [hyper(124,a,7158,a(flip),b,5408,a)]. 7175 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5729(a,1),7167(a,1,1))]. 7176 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2649(a,1),7156(a,1,2,1)),flip(a)]. 7178 K(x,(T(y \ 1,y) * z) / u) = K(x,((y \ 1) * z) / u). [para(3743(a,1),7156(a,1,2,1))]. 7179 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1906(a,1),7159(a,1,2,1,1))]. 7180 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2860(a,1),7159(a,1,2,1))]. 7181 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(2975(a,1),7159(a,1,2,1)),flip(a)]. 7182 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3637(a,1),7159(a,1,2)),flip(a)]. 7183 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1906(a,1),7164(a,1,2,2,1))]. 7184 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2888(a,1),7164(a,1,2,2))]. 7185 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(2947(a,1),7164(a,1,2,2))]. 7186 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4879(a,1),7164(a,1,2,2)),flip(a)]. 7187 K(x,y / (T(z \ 1,z) * u)) = K(x,y / ((z \ 1) * u)). [para(5158(a,1),7164(a,1,2,2)),flip(a)]. 7188 K(x,y / (z * (1 / (1 / (z \ u))))) = K(x,y / u). [para(2617(a,1),7165(a,1,2,2))]. 7189 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(66,a,4666,a(flip),b,7170,a)]. 7190 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(66,a,4665,a(flip),b,7170,a),flip(a)]. 7191 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(124,a,7170,a(flip),b,5434,a),flip(a)]. 7192 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(7190(a,1),5500(a,2,2))]. 7193 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7190(a,1),6211(a,1,2))]. 7194 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4894(a,1),7179(a,1,2,1))]. 7195 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5036(a,2),7179(a,1,2,1))]. 7196 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(2835(a,1),7182(a,1,2,2))]. 7197 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2888(a,1),7182(a,1,2,2))]. 7198 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2947(a,1),7182(a,1,2,2))]. 7199 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3710(a,1),7183(a,1,2,2))]. 7200 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3711(a,1),7183(a,1,2,2))]. 7201 K(x,y / ((((z \ 1) \ 1) * u) \ w)) = K(x,y / ((z * u) \ w)). [para(4894(a,1),7183(a,1,2,2))]. 7202 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(5962(a,1),7183(a,1,2,2))]. 7203 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(66,a,6611,a,b,7160,a)]. 7204 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(7161(a,1),5619(a,1,2,2))]. 7206 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(87(a,1),7176(a,1,2,1,2)),flip(a)]. 7207 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(66,a,2922,a(flip),b,7191,a),flip(a)]. 7208 ((1 / ((1 / x) * (x / y))) \ y) * K(((1 / x) * (x / y)) \ 1,a(1 / x,x / y,y)) = y / (1 / ((1 / x) * (x / y))). [para(865(a,1),7193(a,1,2,2))]. 7209 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(6497,a,7207,a)]. 7210 x * K(y,x * (y \ 1)) = y * (x / y). [para(3341(a,1),7207(a,1,2))]. 7211 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(37,a,5435,a,b,7210,a),flip(a)]. 7212 T(x,y * (x \ 1)) = T(x,y / x). [hyper(224,a,7210,a(flip),b,6321,a),flip(a)]. 7214 K(x,y * (1 / x)) = K(x,x \ y). [hyper(66,a,7150,a,b,7211,a)]. 7215 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(285,a,4123,a(flip),b,7212,a),flip(a)]. 7216 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(7214(a,1),5344(a,1,2)),flip(a)]. 7217 K(x * (1 / y),y) = K(y \ x,y). [hyper(285,a,5344,a(flip),b,7216,a),flip(a)]. 7218 K(x * (y \ 1),y) = K(y \ x,y). [hyper(66,a,6688,a(flip),b,7217,a)]. 7219 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(87(a,1),7217(a,1,1,2)),flip(a)]. 7220 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(66,a,5328,a(flip),b,7218,a)]. 7221 K(x \ (y / (x \ 1)),x) = K(y,x). [para(17(a,1),7218(a,1,1)),flip(a)]. 7222 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(7221(a,1),5390(a,2,2))]. 7223 K(R(x,y,y \ 1),y) = K(x,y). [hyper(285,a,625,a(flip),b,7220,a),flip(a)]. 7224 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5297,a,7223,a),flip(a)]. 7226 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(7223(a,1),6520(a,1,1))]. 7227 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5138,a,7224,a),flip(a)]. 7228 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(285,a,3789,a,b,7224,a),flip(a)]. 7229 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(122,a,7227,a,b,5130,a(flip)),flip(a)]. 7230 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(285,a,5125,a,b,7229,a)]. 7231 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(285,a,3769,a,b,7229,a),flip(a)]. 7232 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(7230(a,1),5426(a,1,1))]. 7233 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(285,a,6408,a(flip),b,7219,a),flip(a)]. 7234 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(66,a,4660,a(flip),b,7219,a),flip(a)]. 7235 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [hyper(124,a,7219,a(flip),b,97,a),flip(a)]. 7236 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(7234(a,1),5252(a,1,1,2))]. 7237 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(7236(a,1),5597(a,1,1)),flip(a)]. 7238 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(7231(a,2),4369(a,2,1,1))]. 7239 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5464,a,7232,a)]. 7240 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(7209(a,1),6433(a,1,1)),flip(a)]. 7241 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5771,a,7235,a)]. 7242 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(15(a,1),7235(a,2,2,1))]. 7243 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(225,a,7237,a),flip(a)]. 7244 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(7243(a,1),1830(a,1,2,1,1))]. 7245 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(7243(a,2),1830(a,1,1))]. 7246 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(16(a,1),7175(a,2,2))]. 7247 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5313,a,7246,a),flip(a)]. 7248 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(66,a,7023,a,b,7247,a)]. 7249 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2961(a,1),7247(a,1,2))]. 7250 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2984(a,1),7249(a,1,2,1)),flip(a)]. 7251 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(66,a,5982,a(flip),b,7226,a),flip(a)]. 7252 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1246(a,1),7251(a,1,2,1))]. 7253 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(180,a,7252,a),flip(a)]. 7254 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(337,a,7253,a)]. 7255 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(7222(a,1),1334(a,2,1,2))]. 7256 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(4596(a,1),7240(a,1,2))]. 7257 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(7218(a,1),7256(a,1,2)),flip(a)]. 7258 x * ((y * (x / y)) \ 1) = K(y \ x,y). [hyper(124,a,7257,a,b,xx)]. 7260 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(66,a,4738,a(flip),b,7254,a)]. 7261 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(285,a,5055,a(flip),b,7260,a),flip(a)]. 7262 x * K(x \ (y \ 1),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(6697(a,1),7171(a,1,2))]. 7263 K(x,y / (z * ((u \ 1) * x))) = K(x,y / (z * (x / u))). [hyper(66,a,6904,a(flip),b,7186,a)]. 7264 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2948(a,1),7195(a,1,2,1,1)),flip(a)]. 7265 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(87(a,1),7199(a,1,2,2,1,2)),flip(a)]. 7266 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6392(a,1),7242(a,2,2))]. 7267 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(285,a,5435,a(flip),b,7266,a),flip(a)]. 7269 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(66,a,6216,a,b,7267,a)]. 7270 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(136,a,7269,a)]. 7271 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(597(a,1),7269(a,1,1))]. 7272 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(285,a,4741,a(flip),b,7271,a),flip(a)]. 7273 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(388,a,7272,a)]. 7274 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(14(a,1),7273(a,1,3)),flip(a)]. 7275 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(66,a,3776,a(flip),b,7274,a)]. 7276 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(4197(a,1),7274(a,1,2))]. 7277 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7275(a,1),1591(a,1,1,2))]. 7278 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1831,a,7277,a)]. 7279 (x * y) \ T(x,y) = (y * x) \ x. [hyper(66,a,4525,a(flip),b,7278,a)]. 7280 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(316,a,7279,a),flip(a)]. 7281 (x * y) * T(R(1 / y,y,x),x * y) = T(x,y). [hyper(124,a,6214,a,b,7279,a)]. 7282 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(246(a,1),7279(a,1,1))]. 7283 x * (T(y,x) * T(y \ (x \ y),z)) = (y * x) * T((x * y) \ y,z). [para(7279(a,1),7011(a,1,2,1)),flip(a)]. 7284 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(263,a,7281,a),flip(a)]. 7285 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(123,a,7281,a(flip),b,116,a(flip))]. 7286 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(122,a,7281,a(flip),b,116,a(flip))]. 7287 T(x,y) = (x / (y * x)) * (x * y). [hyper(285,a,365,a(flip),b,7284,a),flip(a)]. 7288 (x / (y * x)) \ T(x,y) = x * y. [hyper(122,a,7284,a,b,365,a(flip))]. 7289 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(7284(a,2),414(a,1,2,1,2))]. 7290 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(123,a,7287,a,b,152,a(flip))]. 7291 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7287(a,2),6322(a,1,1)),flip(a)]. 7293 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = ((x \ 1) * y) * K(x,x \ 1). [para(7288(a,1),3928(a,1,1)),flip(a)]. 7294 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(622,a,7285,a)]. 7295 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(7285(a,1),1514(a,1,1)),flip(a)]. 7296 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4076(a,1),7290(a,1,1))]. 7297 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(118(a,1),7294(a,1,3)),flip(a)]. 7298 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7297(a,1),367(a,1,1))]. 7299 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7298(a,1),723(a,1,2))]. 7300 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3029(a,1),7296(a,1,1))]. 7301 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5233(a,1),7296(a,1,1))]. 7303 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [hyper(180,a,7300,a(flip))]. 7304 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(285,a,357,a(flip),b,7276,a),flip(a)]. 7305 (1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))). [hyper(66,a,2755,a(flip),b,7262,a),flip(a)]. 7306 (1 / x) * (1 / (1 / ((1 / x) \ y))) = x \ (1 / (1 / (x * y))). [hyper(66,a,3620,a,b,7305,a)]. 7307 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = K(R(x,z,u) \ 1,y \ x). [hyper(285,a,5969,a(flip),b,7172,a),flip(a)]. 7308 (x * y) * T((y * x) \ x,z) = K(y \ 1,z) * T(x,y). [hyper(6187,a,7283,a),flip(a)]. 7309 (x * y) * T((y * x) \ x,z) != u | K(y \ 1,z) * T(x,y) = u. [para(7283(a,1),6187(a,1))]. 7310 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(32(a,2),7289(a,2,1))]. 7311 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(7279(a,1),7310(a,1,2,1)),flip(a)]. 7312 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [hyper(285,a,7308,a(flip),b,7311,a),flip(a)]. 7313 R(T(1 / x,y),x,z) * (z * x) != u | K(x \ 1,y) * T(z,x) = u. [para(7311(a,2),7309(a,1))]. 7314 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(285,a,1490,a,b,7312,a),flip(a)]. 7315 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6086(a,1),7146(a,1,2,2,2))]. 7316 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(66,a,6626,a(flip),b,7155,a)]. 7317 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(87(a,1),7204(a,1,2,2,2,2))]. 7319 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(285,a,4929,a,b,7317,a)]. 7320 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6551,a,7233,a)]. 7322 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(718(a,1),7238(a,1,1,2))]. 7323 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(7228(a,2),7322(a,1,1)),flip(a)]. 7324 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(185,a,7323,a)]. 7325 T(K(x,y),z) * T(K(y,x),z) = 1. [hyper(138,a,7323,a)]. 7326 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [hyper(124,a,7323,a(flip),b,465,a),flip(a)]. 7327 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(124,a,7323,a(flip),b,5134,a(flip))]. 7328 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(5973(a,1),7323(a,1,1,1)),flip(a)]. 7329 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7323(a,1),5357(a,1,2,1))]. 7331 K(K(x,y),z) = K(z,K(y,x)). [hyper(5478,a,7327,a)]. 7332 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2240,a,7327,a)]. 7333 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(66,a,6608,a,b,7327,a)]. 7334 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7327(a,1),5478(a,1))]. 7335 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6441(a,1),7327(a,1,2))]. 7336 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(124,a,7331,a,b,5125,a(flip))]. 7337 K(x,K(y,z)) * K(x,K(z,y)) = 1. [hyper(124,a,7331,a(flip),b,5320,a)]. 7338 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(7331(a,1),5190(a,2,1)),flip(a)]. 7339 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(7331(a,1),5364(a,1,1))]. 7340 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7331(a,1),5219(a,1,1))]. 7341 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5610,a,7336,a),flip(a)]. 7342 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5377,a,7336,a)]. 7343 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(7336(a,1),5191(a,1,1))]. 7344 T(K(x,y),K(z,y)) = K(x,y). [hyper(2235,a,7342,a),flip(a)]. 7345 T(K(x,y),K(x,z)) = K(x,y). [hyper(2230,a,7342,a),flip(a)]. 7347 K(x,y) * K(z,y) = K(z,y) * K(x,y). [hyper(124,a,7344,a(flip),b,27,a(flip))]. 7351 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(66,a,6527,a(flip),b,7332,a)]. 7353 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(66,a,7331,a(flip),b,7351,a),flip(a)]. 7354 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(32(a,2),7328(a,2,1))]. 7355 T(R(K(x,y),z,u) \ 1,w) = R(T(K(x,y),w),z,u) \ 1. [para(5975(a,1),7354(a,1,1))]. 7356 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = (1 / x) * y. [hyper(285,a,2950,a(flip),b,7293,a),flip(a)]. 7357 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(15(a,1),7316(a,1,2)),flip(a)]. 7359 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2398(a,2),7357(a,1,2,1))]. 7360 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(66,a,7250,a,b,7359,a)]. 7361 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(285,a,6630,a(flip),b,7360,a),flip(a)]. 7362 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6276,a,7319,a),flip(a)]. 7363 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2955,a,7362,a)]. 7364 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [hyper(2412,a,7362,a)]. 7365 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(66,a,5468,a,b,7362,a)]. 7366 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(315,a,7363,a)]. 7368 (x * ((1 / y) / x)) * y = K(x,x \ (y \ 1)). [hyper(4947,a,7366,a)]. 7369 K(x,(x * y) \ 1) = K(x,x \ (y \ 1)). [hyper(6622,a,7368,a)]. 7370 (x * K(y,y \ 1)) / K(z,z \ y) = x / ((y \ 1) * (z * (y / z))). [para(7364(a,1),4840(a,2,2))]. 7371 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6189(a,1),7365(a,1,2))]. 7372 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7323(a,1),7326(a,1,3)),flip(a)]. 7373 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7372(a,1),47(a,1))]. 7374 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(931(a,1),7255(a,1,2,1))]. 7375 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(7222(a,1),7374(a,1,2)),flip(a)]. 7376 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(180,a,7375,a)]. 7377 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(6393(a,1),7376(a,1,1))]. 7378 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(709,a,7377,a)]. 7379 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(138,a,7377,a)]. 7380 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7377(a,1),240(a,1,2)),flip(b)]. 7382 L(x,K(y,x),z) = x. [para(3185(a,1),7378(a,1,1))]. 7383 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(7382(a,1),34(a,1,1)),flip(a)]. 7384 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(7382(a,1),35(a,1,1)),flip(a)]. 7385 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(7382(a,1),413(a,1,2,1))]. 7388 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(7383(a,1),3249(a,1,2,2)),flip(a)]. 7389 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(7384(a,1),444(a,1,2,2)),flip(a)]. 7390 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(285,a,6394,a,b,7379,a),flip(a)]. 7392 (x * K(y,z)) * K(z,y) = x. [hyper(38,a,6336,a(flip),b,7379,a),flip(a)]. 7393 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(123,a,7379,a(flip),b,6336,a)]. 7394 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6322(a,1),7379(a,1,1)),flip(a)]. 7395 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6984,a,7392,a),flip(a)]. 7396 x / K(y,z) = x * K(z,y). [hyper(293,a,7392,a),flip(a)]. 7398 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(224,a,7392,a,b,5360,a)]. 7399 (x * K(y,z)) \ x = K(z,y). [hyper(128,a,7392,a)]. 7400 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(122,a,117,a,b,7392,a)]. 7401 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(38,a,7343,a,b,7392,a),flip(a)]. 7402 (x * T(y,z)) * K(z,y) = x * y. [hyper(38,a,6322,a,b,7392,a),flip(a)]. 7403 (x / y) * K(z,y) = x / T(y,z). [hyper(38,a,6319,a,b,7392,a),flip(a)]. 7404 (T(x,y) \ K(x,z)) * K(z,x) = T(x,y) \ 1. [hyper(38,a,6045,a,b,7392,a),flip(a)]. 7405 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(38,a,5631,a,b,7392,a),flip(a)]. 7406 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(38,a,2229,a,b,7392,a),flip(a)]. 7408 (x * K(y,z)) / z = x / T(z,y). [hyper(123,a,7392,a(flip),b,6321,a),flip(a)]. 7409 x * K(y,z) != u | u * K(z,y) = x. [para(7392(a,1),47(a,1)),flip(a)]. 7410 x / K(y,z) != u | x * K(z,y) = u. [para(7392(a,1),294(a,1,1)),flip(b)]. 7411 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7392(a,1),304(a,1,2)),flip(b)]. 7413 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7392(a,1),103(a,1,1))]. 7414 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7392(a,1),113(a,2,1))]. 7415 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7392(a,1),447(a,1,2,2))]. 7416 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7392(a,1),647(a,1,1,2))]. 7417 (x * K(y,z)) * T(z,y) = x * z. [para(7392(a,1),6311(a,1,1)),flip(a)]. 7418 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7392(a,1),6977(a,1,1)),flip(a)]. 7419 (x / T(y,z)) / K(z,y) = x / y. [hyper(285,a,6319,a(flip),b,7396,a),flip(a)]. 7420 (x * K(y,y \ 1)) / K(z,y) = x * (T(y,z) * (1 / y)). [hyper(285,a,5814,a(flip),b,7396,a),flip(a)]. 7421 (x * K(y,y \ 1)) * K(z \ y,z) = x / ((y \ 1) * (z * (y / z))). [hyper(66,a,7370,a(flip),b,7396,a),flip(a)]. 7422 (x * K(y,z)) * K(z,y) != u | x = u. [para(7396(a,1),237(a,1,1))]. 7425 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7396(a,1),487(a,1,1))]. 7426 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),708(a,1,1,2))]. 7427 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7396(a,1),1847(a,1,1,2))]. 7428 x / (K(y,z) \ 1) = x * K(y,z). [para(5320(a,2),7396(a,1,2))]. 7431 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(285,a,5950,a(flip),b,7399,a),flip(a)]. 7432 (x / T(y,z)) * y = x * K(z,y). [hyper(42,a,6359,a,b,7399,a)]. 7433 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7399(a,2),5334(a,1,1))]. 7434 (x / y) \ (x / T(y,z)) = K(z,y). [para(6319(a,1),7399(a,1,1))]. 7435 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6320(a,1),7399(a,1,1))]. 7436 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6344(a,2),7399(a,1,1))]. 7437 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6462(a,2),7399(a,1,1))]. 7438 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(6461(a,1),7399(a,1,1)),flip(a)]. 7439 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(6759(a,1),7399(a,1,1,2))]. 7440 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7018(a,1),7399(a,1,1,2)),flip(a)]. 7441 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(224,a,7402,a,b,5360,a)]. 7444 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7402(a,1),6311(a,1,1)),flip(a)]. 7445 ((x * T(y,z)) / z) * K(z,y) = (x * y) / z. [para(7402(a,1),6348(a,1,1)),flip(a)]. 7447 x / T(y \ x,z) = y * K(z,y \ x). [hyper(315,a,7403,a),flip(a)]. 7448 (x / y) * K(x,y) = T(x,y) / y. [hyper(285,a,4120,a,b,7403,a),flip(a)]. 7450 T(x / y,K(x,y)) = x / y. [hyper(224,a,7403,a,b,5584,a)]. 7452 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(7403(a,1),315(a,1))]. 7453 T(x / y,K(y,x)) = x / y. [hyper(43,a,7342,a,b,7450,a)]. 7455 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7405(a,1),113(a,2,2))]. 7456 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(7408(a,1),118(a,1,1))]. 7457 T(x * K(y,z),T(z,y)) = T(z,y) \ (x * z). [hyper(224,a,7417,a,b,15,a)]. 7458 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(128,a,7417,a)]. 7459 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(123,a,5197,a(flip),b,7417,a)]. 7460 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(122,a,5146,a(flip),b,7417,a)]. 7461 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(122,a,15,a(flip),b,7417,a)]. 7468 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(224,a,7428,a(flip),b,5360,a),flip(a)]. 7470 x * K(y,z) != u * z | x / T(z,y) = u. [para(7432(a,1),47(a,1))]. 7475 (x \ y) \ (y / T(T(x,x \ y),z)) = K(z,T(x,x \ y)). [para(249(a,1),7434(a,1,1))]. 7477 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(66,a,5402,a(flip),b,7448,a)]. 7479 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(7448(a,1),447(a,1,1))]. 7481 T(x,((y \ x) * y) \ 1) = (z * K(x \ 1,x)) \ (z * x). [para(6889(a,1),7458(a,1,1,2)),flip(a)]. 7485 T(x * K(y,x),z) \ T(x,z) != u | K(T(x,z),y) = u. [para(5595(a,1),7411(a,1,1))]. 7486 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5795(a,1),7411(a,1,1))]. 7487 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5798(a,1),7411(a,1,1))]. 7493 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6322(a,1),7422(a,1,1))]. 7495 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(7390(a,2),225(a,2))]. 7496 T(K(x,y) * z,K(x,y)) = z * K(x,y). [hyper(43,a,7342,a,b,7398,a)]. 7499 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(7398(a,1),383(a,1,2,1))]. 7500 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5334(a,2),7401(a,1,1))]. 7502 (((x \ y) \ y) * z) \ (x * z) = K(x \ y,T(x,z)). [para(117(a,1),7435(a,1,1,1))]. 7504 ((x * (y * T(y \ z,u))) / z) \ x = K(u,((x * y) / z) \ x). [para(1413(a,1),7436(a,1,1))]. 7505 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(7436(a,1),2570(a,2,1,2,1))]. 7507 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [hyper(285,a,112,a,b,7444,a),flip(a)]. 7508 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7444(a,1),4149(a,1,2))]. 7509 (x * K(y,x \ z)) \ z != u | T(x \ z,y) = u. [para(7447(a,1),307(a,1,1)),flip(b)]. 7511 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7496(a,1),28(a,1,1)),flip(a)]. 7512 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7496(a,2),225(a,2)),flip(a)]. 7513 x / T(K(y,z),x) = K(y,z) \ x. [hyper(38,a,4116,a,b,7500,a)]. 7514 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(180,a,7513,a)]. 7515 (K(x,y) * z) \ z = T(K(y,x),z). [para(5334(a,1),7514(a,1,1))]. 7516 x * ((K(y,z) * x) \ x) = K(z,y) * x. [hyper(124,a,7515,a,b,27,a(flip))]. 7518 (x * T(y / z,z)) * z = (x * (y / z)) * (y / (y / z)). [para(5129(a,2),7394(a,1,2)),flip(a)]. 7519 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(7394(a,1),5583(a,1,1))]. 7520 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(7395(a,1),7411(a,1,1))]. 7521 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5150(a,1),7418(a,1,2,1))]. 7522 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(17(a,1),7437(a,1,1,2,1)),flip(a)]. 7523 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5344(a,2),7468(a,1,1))]. 7526 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4153,a,7507,a)]. 7530 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(90(a,1),7438(a,2,1))]. 7531 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(66,a,6104,a(flip),b,7440,a),flip(a)]. 7532 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(124,a,6104,a(flip),b,7440,a(flip))]. 7533 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(185,a,7531,a)]. 7535 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6267(a,1),7531(a,1,1,2)),flip(a)]. 7536 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7531(a,1),7192(a,1,1)),flip(a)]. 7537 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(7532(a,1),304(a,1,2)),flip(b)]. 7539 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(7535(a,2),7411(a,1))]. 7540 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5764(a,1),7477(a,1,2))]. 7541 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7540(a,1),200(a,2,2))]. 7542 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(949(a,2),7425(a,2,2))]. 7543 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5446(a,1),7425(a,2,2))]. 7544 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(T(T(x,z),u),y) = w. [para(5595(a,1),7485(a,1,1,1))]. 7546 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7508(a,1),647(a,1))]. 7548 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(5490(a,1),7520(a,1))]. 7549 K((x * y) \ 1,x) != z | K(y \ (x \ 1),x) = z. [para(6662(a,1),7548(a,1))]. 7550 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5834(a,2),7549(a,1))]. 7551 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(7440(a,2),7537(a,1))]. 7552 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(176(a,1),7551(a,1,2,2))]. 7553 x / ((T(y,z) \ 1) * y) = x * (T(y,z) * (1 / y)). [hyper(66,a,5802,a(flip),b,7420,a)]. 7554 ((T(x,y) \ 1) * x) \ 1 = T(x,y) * (1 / x). [hyper(4701,a,7553,a)]. 7555 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = ((T(y,z) \ 1) * y) * ((T(y,z) * (1 / y)) * x). [para(7554(a,1),242(a,1,2,1)),flip(a)]. 7556 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5981(a,1),7431(a,1,1,2))]. 7557 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(185,a,7556,a)]. 7558 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(140,a,7556,a),flip(a)]. 7559 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(66,a,278,a,b,7556,a)]. 7560 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7556(a,1),297(a,1,2)),flip(b)]. 7561 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),7556(a,1,1))]. 7562 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7558(a,1),46(a,1)),flip(a)]. 7563 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7558(a,1),304(a,1,2)),flip(b)]. 7565 T(x,((y \ x) * y) \ 1) = T(x,x \ 1). [hyper(285,a,7458,a(flip),b,7481,a),flip(a)]. 7566 T(x,(y * (x / y)) \ 1) = T(x,x \ 1). [para(90(a,1),7565(a,1,2,1,1))]. 7567 (x * (y / z)) * (y / (y / z)) = (x * (z \ y)) * z. [para(118(a,1),7518(a,1,1,2)),flip(a)]. 7568 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(479,a,7519,a),flip(a)]. 7572 (((x * y) * T((x * y) \ (y * z),u)) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(1184(a,2),7504(a,1,1,1))]. 7573 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5335(a,1),7521(a,1,1,2))]. 7574 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5738(a,1),7573(a,2,2))]. 7575 R(x,K(y \ 1,z),y) = x. [hyper(5005,a,7574,a)]. 7576 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,7574,a)]. 7577 R(x,y,K(y \ 1,z)) = x. [hyper(6862,a,7575,a)]. 7579 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(7577(a,1),112(a,1,1)),flip(a)]. 7580 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(445,a,7579,a)]. 7581 a(x,y,K(y \ 1,z)) = 1. [hyper(56,a,7580,a)]. 7582 a(x,y \ 1,K(y,z)) = 1. [para(3341(a,1),7581(a,1,3))]. 7583 L(K(x,y),x \ 1,z) = K(x,y). [hyper(55,a,7582,a)]. 7584 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(66,a,5946,a(flip),b,7583,a)]. 7585 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [hyper(124,a,7584,a(flip),b,5125,a(flip)),flip(a)]. 7586 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(285,a,5130,a,b,7585,a),flip(a)]. 7587 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7415,a,7561,a)]. 7588 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7396(a,1),7427(a,2,2))]. 7589 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(7411,a,7439,a),flip(a)]. 7590 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(138,a,7588,a)]. 7591 ((x * (y * T(y \ (x \ (y * z)),u))) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(830(a,1),7572(a,1,1,1))]. 7592 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(116(a,1),7591(a,1,1,1,2))]. 7593 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((x * y) / z) \ y). [para(116(a,1),7592(a,2,2,1,1))]. 7594 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((y * x) / z) \ x). [para(4972(a,1),7593(a,1,1,1))]. 7595 K(x,((y * x) / z) \ x) = K(x,((x * y) / z) \ x). [hyper(66,a,7504,a(flip),b,7594,a),flip(a)]. 7596 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(66,a,5835,a(flip),b,7189,a),flip(a)]. 7598 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(66,a,5835,a(flip),b,7596,a),flip(a)]. 7600 (x * (y / x)) / (((x \ 1) * y) \ y) = ((x \ 1) * y) * K(x,x \ y). [para(6538(a,1),5401(a,1,2)),flip(a)]. 7601 (x * (y / x)) / (((x \ 1) * y) \ y) = y / R(x,x \ 1,y). [hyper(285,a,6765,a(flip),b,7600,a),flip(a)]. 7602 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),5411(a,1,2,1,2,2))]. 7603 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(66,a,2155,a(flip),b,7602,a)]. 7604 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(116(a,1),7603(a,1,1,2))]. 7605 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4940(a,1),7604(a,1,1))]. 7606 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(295,a,7605,a)]. 7608 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7606(a,1),6877(a,1,1))]. 7609 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(295,a,7608,a),flip(a)]. 7610 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6366,a,7609,a)]. 7612 x / T(y,T(y,z) \ x) = y \ x. [hyper(7470,a,7610,a)]. 7613 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(37,a,271,a,b,7610,a),flip(a)]. 7615 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(39,a,249,a,b,7612,a),flip(a)]. 7618 K((x / y) \ z,x / y) = K((y \ x) \ z,x / y). [para(118(a,1),7613(a,1,1,1)),flip(a)]. 7620 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7613(a,1),5869(a,1,1,1,2))]. 7623 T(x,x \ (T(x,y) * z)) = T(x,z). [para(14(a,1),7615(a,1,2)),flip(a)]. 7625 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7623(a,1),3979(a,1,2))]. 7626 T(x,K(x,y) * z) = T(x,z). [para(5514(a,1),7623(a,1,2))]. 7627 T(x,K(x,y) \ z) = T(x,z). [para(15(a,1),7626(a,1,2)),flip(a)]. 7628 T(x,K(y,x) * z) = T(x,z). [para(5360(a,1),7626(a,1,2)),flip(a)]. 7629 T(x,T(y,x) * z) = T(x,y * z). [para(5158(a,1),7626(a,1,2)),flip(a)]. 7630 T(x,T(x,y) * z) = T(x,x * z). [para(5219(a,1),7626(a,1,2))]. 7633 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7626(a,1),5595(a,1,1))]. 7634 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5854(a,1),7626(a,1,2)),flip(a)]. 7635 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5196(a,2),7627(a,1,2))]. 7637 T(x,K(y,x) * T(x,z)) = x. [hyper(285,a,170,a(flip),b,7628,a),flip(a)]. 7638 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7628(a,1),4524(a,1,3))]. 7639 T(x,y * T(z,x)) = T(x,y * z). [para(5832(a,1),7628(a,1,2))]. 7640 T(x,y \ T(z,x)) = T(x,y \ z). [para(5824(a,1),7628(a,1,2))]. 7642 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7629(a,1),853(a,1,1)),flip(a)]. 7643 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(66,a,4182,a,b,7635,a)]. 7644 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(118(a,1),7640(a,1,2,2)),flip(a)]. 7645 T(x / (x / y),z) \ x = x / T(y,z). [para(5073(a,2),7620(a,1,1,1))]. 7646 L(x,x \ y,x) \ y = y / T(x,y). [para(5097(a,1),7620(a,1,1))]. 7647 x / T(y,L(y,z,u) * (y \ x)) = L(y,y \ x,L(y,z,u)) \ x. [para(5394(a,1),7620(a,1,1)),flip(a)]. 7649 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(185,a,7645,a)]. 7651 T(x / (x / K(y,z)),x) = K(y,z). [hyper(42,a,7513,a(flip),b,7645,a),flip(a)]. 7653 x / T(y \ x,z) = T(x / y,z) \ x. [para(87(a,1),7645(a,1,1,1,2)),flip(a)]. 7654 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(181(a,1),7645(a,1,1,1)),flip(a)]. 7655 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(6942(a,1),7645(a,1,1,1)),flip(a)]. 7656 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7651(a,1),52(a,1)),flip(a)]. 7658 T(x / (x / y),x) = x / (T(x,y) / y). [para(4120(a,2),7649(a,1,2)),flip(a)]. 7660 T(x / y,z) \ x = y * K(z,y \ x). [hyper(7452,a,7653,a),flip(a)]. 7661 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(180,a,7653,a)]. 7662 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(122,a,7653,a(flip),b,7447,a(flip))]. 7664 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(117(a,2),7654(a,1,2,1))]. 7665 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(282(a,2),7654(a,1,2))]. 7666 x / T((y \ x) * y,z) = T((y \ x) * y,z) \ x. [para(5432(a,1),7654(a,1,2,1))]. 7667 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(66,a,4273,a(flip),b,7658,a)]. 7668 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(7667(a,2),4942(a,1,1,1,2))]. 7669 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(185,a,7660,a)]. 7671 L(K(x,(y \ 1) \ z),y \ 1,y) != u | y * (T(z / (y \ 1),x) \ z) = u. [para(7662(a,1),539(a,1,1))]. 7673 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [para(7664(a,1),7475(a,1,2))]. 7674 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(180,a,7665,a),flip(a)]. 7675 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(27(a,2),7669(a,1,2,2,2))]. 7676 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(66,a,7371,a(flip),b,7666,a),flip(a)]. 7677 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(16(a,1),7675(a,2,1))]. 7678 T(x,y) \ (x * z) = z * K(y,T(x,z)). [hyper(180,a,7677,a)]. 7679 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(5944,a,7678,a)]. 7680 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(5675,a,7678,a),flip(a)]. 7681 K(x,T(y,z)) = T(K(x,y),z). [hyper(5592,a,7678,a),flip(a)]. 7682 x * K(y,T(z,x)) = K(y,z) * x. [hyper(5591,a,7678,a),flip(a)]. 7683 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [hyper(66,a,4297,a,b,7678,a)]. 7684 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7678(a,1),5591(a,1))]. 7685 T(K(x * y,x),y) = K(x * y,x). [hyper(6122,a,7681,a),flip(a)]. 7686 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(285,a,7338,a,b,7681,a)]. 7687 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(285,a,6459,a,b,7681,a)]. 7688 K(x,T(y,y \ z)) = K(x,T(y,z)). [hyper(285,a,6439,a,b,7681,a)]. 7689 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(285,a,6425,a,b,7681,a)]. 7690 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(285,a,6108,a,b,7681,a)]. 7691 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(285,a,6080,a,b,7681,a)]. 7692 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(285,a,6007,a,b,7681,a),flip(a)]. 7693 K(x,T(y,K(x,z))) = K(x,y). [hyper(285,a,7345,a(flip),b,7681,a),flip(a)]. 7694 K(x / y,T(z,x)) = K(y \ x,z). [hyper(285,a,6460,a(flip),b,7681,a),flip(a)]. 7695 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(285,a,6441,a(flip),b,7681,a),flip(a)]. 7696 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(285,a,6440,a(flip),b,7681,a),flip(a)]. 7697 K(x,T(y / z,y)) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7681,a),flip(a)]. 7698 K(x,T(y,z * (x / z))) = K(x,y). [hyper(285,a,4930,a(flip),b,7681,a),flip(a)]. 7699 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(285,a,3371,a(flip),b,7681,a),flip(a)]. 7700 K(x,T(y,T(x,z))) = K(x,y). [hyper(285,a,3359,a(flip),b,7681,a),flip(a)]. 7701 K(x,T(y,K(z,x))) = K(x,y). [hyper(285,a,2227,a(flip),b,7681,a),flip(a)]. 7702 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(124,a,7681,a,b,7515,a)]. 7703 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(66,a,6439,a(flip),b,7681,a),flip(a)]. 7704 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(124,a,7681,a(flip),b,5125,a(flip))]. 7705 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(30(a,2),7681(a,1,2))]. 7707 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7681(a,2),582(a,1,2,2))]. 7708 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7681(a,2),6549(a,1))]. 7709 K(x,T(y,z)) * T(K(y,x),z) = 1. [para(7681(a,2),7325(a,1,1))]. 7710 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7681(a,2),7327(a,1,2))]. 7711 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7681(a,2),7340(a,2,1))]. 7712 T(R(K(x,y),z,u) \ 1,w) = R(K(x,T(y,w)),z,u) \ 1. [para(7681(a,2),7355(a,2,1,1))]. 7713 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7329(a,1,1))]. 7714 T(K(x,y),K(z,y) * T(y,u)) = K(x,y). [para(7637(a,1),7681(a,1,2)),flip(a)]. 7715 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7681(a,2),7681(a,1,2))]. 7716 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [hyper(124,a,7700,a(flip),b,5722,a),flip(a)]. 7717 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(118(a,1),7700(a,1,2)),flip(a)]. 7718 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7700(a,2),3193(a,1,2))]. 7720 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(118(a,1),7699(a,1,2)),flip(a)]. 7721 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7699(a,1),5890(a,1,2))]. 7723 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(7409,a,7682,a)]. 7724 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(37,a,3354,a,b,7682,a),flip(a)]. 7725 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(30(a,2),7682(a,1,2,2))]. 7726 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7682(a,1),46(a,1))]. 7727 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(3980(a,1),7682(a,1,2,2))]. 7728 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5617(a,1),7682(a,1,2,2))]. 7729 K(x * y,x) * y = y * K(x * y,x). [para(5765(a,1),7682(a,1,2)),flip(a)]. 7730 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(118(a,1),7724(a,1,2)),flip(a)]. 7731 K(x,T(y,(1 / (z / x)) * z)) = K(x,y). [para(507(a,1),7724(a,1,2,2))]. 7732 R(x,y,K(z,T(y,u))) = x. [para(7687(a,1),6521(a,1,3))]. 7733 R(x,y \ 1,K(z,T(y,u))) = x. [para(7687(a,1),7080(a,1,3))]. 7734 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7732(a,1),112(a,1,1)),flip(a)]. 7735 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5150(a,1),7733(a,1,3,2))]. 7736 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(124,a,7688,a(flip),b,7673,a)]. 7737 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4313(a,2),7688(a,1,2,2))]. 7738 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(66,a,617,a,b,7689,a)]. 7739 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(1240(a,1),7689(a,1,2,1))]. 7740 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(4286(a,1),7689(a,1,2)),flip(a)]. 7741 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7689(a,1),6634(a,1,1)),flip(a)]. 7742 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(7433(a,1),7689(a,1,2)),flip(a)]. 7743 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(66,a,7031,a,b,7694,a)]. 7744 K(x / y,x \ z) = K(y \ x,z / x). [para(118(a,1),7694(a,1,2))]. 7745 K(L(x,y,z) / u,T(x,w)) = K(u \ L(x,y,z),T(x,w)). [para(199(a,1),7694(a,1,2))]. 7746 T((x / y) \ 1,K(y \ x,z)) = (x / y) \ 1. [para(7694(a,1),1383(a,1,2))]. 7748 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7694(a,1),4072(a,1,3))]. 7750 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5566(a,1),7694(a,1,2))]. 7753 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7694(a,1),7031(a,1,1)),flip(a)]. 7754 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(490(a,1),7697(a,1,2))]. 7755 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(118(a,1),7698(a,1,2)),flip(a)]. 7756 x * K(T(y,x),z) = K(y,z) * x. [hyper(7409,a,7702,a)]. 7757 T(K(x,y),y) != z | K(x,y) = z. [para(7703(a,1),192(a,1))]. 7758 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6012,a,7704,a),flip(a)]. 7759 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7704(a,1),7333(a,1,2,2))]. 7760 K(T(x,y),z) = T(K(x,z),y). [hyper(5364,a,7709,a)]. 7761 K(T(x,y),z) = K(x,T(z,y)). [hyper(285,a,7681,a,b,7760,a),flip(a)]. 7762 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(285,a,6459,a,b,7760,a)]. 7763 K(T(x \ K(x,y),y),z) = K(x \ 1,z). [hyper(285,a,6741,a(flip),b,7760,a),flip(a)]. 7764 K(T(x,y),y / z) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7760,a),flip(a)]. 7765 x * K(T(y,x),z) = K(z,y) \ x. [hyper(124,a,7760,a,b,5449,a)]. 7767 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7760(a,1),5190(a,2,1)),flip(a)]. 7768 K(T(x * y,x),y) = K(x * y,y). [hyper(285,a,5784,a(flip),b,7761,a),flip(a)]. 7769 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(66,a,7399,a,b,7761,a)]. 7770 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(66,a,3346,a(flip),b,7761,a),flip(a)]. 7771 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(124,a,7761,a(flip),b,7434,a)]. 7772 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(32(a,2),7761(a,1,1))]. 7773 K(T(x,R(y,z,u)),y) = K(x,y). [para(168(a,1),7761(a,2,2))]. 7774 K(x / y,T(z,y)) = K(y \ x,z). [para(118(a,1),7761(a,1,1)),flip(a)]. 7775 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(191(a,1),7761(a,1,1)),flip(a)]. 7776 K((x * y) / x,T(z,x)) = K(y,z). [para(208(a,1),7761(a,1,1)),flip(a)]. 7777 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(197(a,1),7761(a,1,1)),flip(a)]. 7778 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1383(a,1),7761(a,1,1)),flip(a)]. 7779 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7761(a,1),5190(a,2,1)),flip(a)]. 7781 R(x,y,K(T(y,z),u)) = x. [para(7761(a,2),6353(a,1,3))]. 7782 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7761(a,1),7409(a,1,2))]. 7783 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7761(a,1),7411(a,1,1,2))]. 7784 (x * K(y,T(x \ z,u))) \ z = T(x \ z,T(y,u)). [para(7761(a,1),7461(a,1,1,2))]. 7785 (x * K(y,T(x \ z,u))) \ z != w | T(x \ z,T(y,u)) = w. [para(7761(a,1),7509(a,1,1,2))]. 7786 R(x,(y * z) / y,K(z,u)) = x. [para(208(a,1),7781(a,1,3,1))]. 7788 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7786(a,1),463(a,1,1))]. 7789 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2102,a,7756,a),flip(a)]. 7790 K(x / y,z) * y = y * K(y \ x,z). [para(118(a,1),7756(a,1,2,1)),flip(a)]. 7792 K(T(x,x \ y),z) = K(T(x,y),z). [para(117(a,2),7762(a,1,1))]. 7793 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7762(a,1,1,1)),flip(a)]. 7794 K(T(x,y * x),z) = K(T(x,y),z). [para(4140(a,2),7762(a,1,1)),flip(a)]. 7795 K(T(x \ 1,x * y),z) = K(T(x \ 1,y),z). [para(4285(a,2),7762(a,1,1))]. 7796 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7762(a,1),6661(a,1,1)),flip(a)]. 7797 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7433(a,1),7762(a,1,1)),flip(a)]. 7798 K(T(T(x / y,z),x),u) = K(T(y \ x,z),u). [para(7661(a,1),7762(a,1,1)),flip(a)]. 7799 K(T(T(x,y),x \ z),u) = K(T(T(x,y),z),u). [para(7674(a,2),7762(a,1,1))]. 7800 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(197(a,1),7764(a,1,1))]. 7801 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(198(a,1),7764(a,1,1))]. 7802 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6557,a,7774,a)]. 7803 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(66,a,5836,a(flip),b,7774,a),flip(a)]. 7804 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(169(a,1),7774(a,1,2))]. 7806 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7775(a,1),5190(a,2,1))]. 7807 R(x,T(y,z),K(u,y)) = x. [para(7776(a,1),6521(a,1,3))]. 7808 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(4836,a,7807,a),flip(a)]. 7809 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(66,a,7414,a(flip),b,7807,a),flip(a)]. 7810 R(x,y \ K(y,z),K(u,y)) = x. [para(5359(a,1),7735(a,1,2))]. 7811 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(66,a,7455,a(flip),b,7810,a)]. 7812 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(118(a,1),7777(a,1,2)),flip(a)]. 7813 K(((x / y) * x) \ (y * (x / y)),z) = K((y \ x) \ 1,T(z,x)). [hyper(66,a,6488,a,b,7691,a)]. 7814 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(169(a,1),7691(a,1,1,1)),flip(a)]. 7815 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(66,a,7335,a(flip),b,7710,a)]. 7816 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(66,a,7353,a,b,7815,a)]. 7817 R(x,y * z,K(y,K(z,u))) = x. [para(7816(a,1),6353(a,1,3))]. 7818 R(x,y * z,K(y,K(z,u))) != w | x = w. [para(7817(a,1),54(a,2))]. 7819 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6712(a,1),7729(a,1,1)),flip(a)]. 7820 K(x,T(y,((z / x) \ 1) * z)) = K(x,y). [para(4813(a,1),7731(a,1,2))]. 7821 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(7736(a,1),7417(a,1,1))]. 7823 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7769(a,1),7411(a,1))]. 7824 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7778(a,1),5177(a,1,2)),flip(a)]. 7825 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5744,a,7779,a)]. 7828 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(285,a,7691,a,b,7803,a)]. 7829 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(285,a,5190,a,b,7806,a),flip(a)]. 7830 T(x,T(y,T(x,z))) = T(x,y). [para(115(a,1),7829(a,1,2,2,1))]. 7832 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5150(a,1),7829(a,1,2,2,1))]. 7833 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(230(a,1),7830(a,1,2,2))]. 7834 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5150(a,1),7830(a,1,2,2))]. 7835 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7830(a,1),5723(a,1,1)),flip(a)]. 7837 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7681(a,2),7825(a,1,2,2))]. 7838 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(66,a,6467,a(flip),b,7828,a)]. 7839 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7838(a,1),5302(a,2,2,2)),flip(a)]. 7842 K(x,(((y / x) \ 1) * y) / z) != u | K(x,z \ (((y / x) \ 1) * y)) = u. [para(7820(a,1),7708(a,1))]. 7843 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4184(a,1),7683(a,1,2,1))]. 7844 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(66,a,7117,a(flip),b,7730,a),flip(a)]. 7845 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(3090(a,1),7844(a,1,2,1))]. 7846 K(L(x,y,y \ 1) \ z,x) = u / (K(x,x \ z) * u). [para(7845(a,1),5448(a,1,2,1)),flip(a)]. 7847 K(x,T((y * z) \ 1,z \ 1)) = K(x,T((y * z) \ 1,y)). [para(6594(a,1),7740(a,1,2))]. 7848 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6560(a,2),7759(a,1,2))]. 7849 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(118(a,1),7771(a,1,2,2))]. 7850 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7808(a,1),3024(a,2,2))]. 7852 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5130(a,2),7811(a,1,1))]. 7853 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(180,a,7852,a(flip))]. 7854 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5318(a,1),7853(a,2,2))]. 7855 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7833(a,1),28(a,1,1)),flip(a)]. 7856 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(66,a,6917,a(flip),b,7834,a)]. 7857 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [hyper(124,a,7834,a(flip),b,27,a(flip))]. 7858 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5208,a,7848,a)]. 7859 K(x,K(y,z)) = K(z,K(y,x)). [hyper(66,a,7816,a(flip),b,7858,a)]. 7860 K(K(x,y),z) = K(x,K(y,z)). [hyper(7334,a,7859,a)]. 7861 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(285,a,7858,a(flip),b,7859,a),flip(a)]. 7862 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(124,a,7859,a,b,5125,a(flip))]. 7863 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [hyper(124,a,7859,a,b,21,a(flip))]. 7864 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7859(a,1),5142(a,2,1)),flip(a)]. 7865 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7859(a,1),5162(a,1,1))]. 7867 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(7859(a,1),7337(a,1,1))]. 7868 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7859(a,1),7338(a,1,1))]. 7869 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7859(a,1),7340(a,1,1))]. 7870 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(285,a,5973,a(flip),b,7860,a),flip(a)]. 7871 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [hyper(124,a,7860,a(flip),b,6358,a)]. 7872 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(124,a,7860,a(flip),b,5125,a(flip))]. 7873 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7860(a,1),5180(a,1,2))]. 7875 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(7860(a,1),5525(a,1,1,1))]. 7876 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7860(a,1),5983(a,2,1))]. 7877 (x * (y / K(z,u))) / (K(z,u) \ y) = x * K(z,K(u,K(z,u) \ y)). [para(7860(a,1),6578(a,2,2))]. 7878 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(93(a,1),7861(a,1,2,2))]. 7879 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6626(a,1),7861(a,1,2))]. 7881 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7339,a,7867,a)]. 7882 K(K(x,y),z) = K(y,K(z,x)). [hyper(5364,a,7867,a)]. 7883 K(K(x,y),z) = K(y,K(x,z)). [hyper(285,a,7860,a,b,7881,a)]. 7884 K(x,K(y,z)) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7881,a),flip(a)]. 7885 L(K(x \ 1,K(y,z)),u,w) = K(y,K(L(x,u,w) \ 1,z)). [hyper(285,a,5977,a,b,7881,a)]. 7886 K(x,K(y,x \ y)) = 1. [hyper(285,a,5624,a(flip),b,7881,a),flip(a)]. 7888 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(124,a,7881,a,b,5125,a(flip))]. 7889 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7881(a,1),5190(a,2,1)),flip(a)]. 7891 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7881(a,1),5259(a,1,1))]. 7892 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7881(a,1),5152(a,1,2,1))]. 7893 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(7881(a,1),5525(a,1,1,1))]. 7894 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(7881(a,1),5542(a,2,2))]. 7895 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(7881(a,1),5537(a,1,1,1))]. 7896 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7881(a,1),6375(a,1,2))]. 7897 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6626(a,2),7881(a,1,2))]. 7898 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(7881(a,1),6899(a,1,3))]. 7900 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(7881(a,1),7686(a,1,1))]. 7901 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7881(a,1),7862(a,1,2))]. 7902 T(x,K(y,x \ y)) = x. [hyper(59,a,7886,a)]. 7903 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(7902(a,1),5178(a,1,2,1)),flip(a)]. 7906 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [hyper(124,a,7882,a(flip),b,5125,a(flip))]. 7907 K(K(x,y),z) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7883,a),flip(a)]. 7908 K(x,K(y,z)) = K(x,K(z,y)). [hyper(66,a,7882,a(flip),b,7883,a)]. 7909 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7883(a,1),5146(a,1,1))]. 7910 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5973(a,1),7883(a,1,1)),flip(a)]. 7911 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5981(a,1),7883(a,1,1)),flip(a)]. 7912 x * K(K(y,z),x) = T(x,K(y,z)). [para(7883(a,2),7862(a,1,2))]. 7913 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [hyper(124,a,7884,a,b,6466,a),flip(a)]. 7914 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [hyper(124,a,7884,a,b,6358,a)]. 7915 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [hyper(124,a,7884,a,b,6574,a(flip)),flip(a)]. 7916 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [hyper(124,a,7884,a,b,21,a(flip))]. 7917 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7884(a,2),5190(a,2,1)),flip(a)]. 7918 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7884(a,2),5259(a,1,1))]. 7919 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7884(a,2),5219(a,1,1))]. 7920 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(7884(a,1),5525(a,1,1,1))]. 7921 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5826(a,1),7884(a,1,2)),flip(a)]. 7922 L(K(x,y) * K(x,K(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). [para(7884(a,2),5392(a,1,1,2))]. 7923 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7884(a,2),5909(a,1,1))]. 7924 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7761(a,1),7884(a,1,2))]. 7925 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7884(a,1),7867(a,1,1))]. 7926 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7907(a,1),5545(a,1,1))]. 7927 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7907(a,1),5452(a,1,1))]. 7929 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(285,a,7861,a,b,7908,a)]. 7930 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7908(a,1),5190(a,2,1)),flip(a)]. 7931 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(5981(a,1),7908(a,1,2)),flip(a)]. 7932 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6125(a,1),7908(a,1,2)),flip(a)]. 7933 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7761(a,1),7908(a,1,2))]. 7934 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7774(a,2),7908(a,1,2))]. 7935 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(285,a,7881,a,b,7879,a),flip(a)]. 7936 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(15(a,1),7879(a,1,2,2)),flip(a)]. 7937 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7879(a,1),7686(a,1,1))]. 7939 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(935(a,1),7889(a,1,1,2)),flip(a)]. 7940 T(x,K(y,z)) = T(x,K(z,y)). [hyper(66,a,7862,a(flip),b,7901,a)]. 7941 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5668,a,7940,a)]. 7942 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(285,a,7401,a,b,7940,a)]. 7943 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(285,a,7496,a(flip),b,7940,a),flip(a)]. 7944 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(285,a,7441,a(flip),b,7940,a),flip(a)]. 7945 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7940(a,1),7343(a,1,1))]. 7946 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(7912(a,1),6752(a,1,2))]. 7947 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7912(a,1),7568(a,1,3)),flip(a)]. 7948 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(285,a,7523,a,b,7917,a),flip(a)]. 7950 K(x,K(y,x * y)) = 1. [hyper(285,a,3352,a(flip),b,7929,a),flip(a)]. 7951 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(285,a,4401,a,b,7950,a),flip(a)]. 7952 T(x,K(y,x * y)) = x. [hyper(59,a,7950,a)]. 7953 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7930(a,1),5259(a,1))]. 7954 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(66,a,7881,a,b,7935,a)]. 7955 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(285,a,7884,a,b,7936,a),flip(a)]. 7956 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(124,a,7936,a(flip),b,5125,a(flip)),flip(a)]. 7957 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(7936(a,1),7686(a,1,1))]. 7958 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(66,a,7884,a,b,7955,a)]. 7960 K(x,K(x * y,z)) = K(x,K(y,z)). [para(14(a,1),7958(a,1,2,1)),flip(a)]. 7961 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5319(a,1),7958(a,2,2))]. 7962 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(66,a,7859,a,b,7960,a)]. 7963 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(66,a,7881,a,b,7951,a)]. 7964 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(7963(a,2),5603(a,2,2))]. 7967 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7693(a,1),7868(a,1,1,2)),flip(a)]. 7968 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(285,a,7681,a,b,7872,a),flip(a)]. 7971 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7761(a,1),7906(a,1,2,2))]. 7973 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(66,a,7881,a,b,7924,a)]. 7974 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(66,a,7958,a(flip),b,7924,a),flip(a)]. 7975 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(7933(a,1),7868(a,1,1))]. 7976 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(6394(a,1),7941(a,1,2))]. 7977 (x * K(y,z)) / x = T(K(y,z),x). [hyper(224,a,7945,a(flip),b,3955,a(flip)),flip(a)]. 7978 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7523(a,2),7945(a,1,1))]. 7979 T(K(x,y),z) * z = z * K(x,y). [hyper(136,a,7977,a)]. 7980 T(T(K(x,y),z),z) = K(x,y). [para(7977(a,1),208(a,1,1))]. 7981 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7977(a,1),588(a,1,1,1))]. 7982 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7977(a,1),594(a,1,1,1))]. 7984 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6742,a,7980,a),flip(a)]. 7985 T(K(x,y \ z),z) = K(x,z / y). [hyper(43,a,6406,a,b,7980,a),flip(a)]. 7986 T(K(x,T(y,z)),z) = K(x,y). [hyper(43,a,7681,a(flip),b,7980,a),flip(a)]. 7987 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(7980(a,1),52(a,1)),flip(a)]. 7988 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7980(a,1),257(a,1,2,2,1))]. 7989 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7656,a,7986,a)]. 7990 K(T(x,y),T(z,y)) = K(x,z). [hyper(66,a,7760,a,b,7986,a)]. 7991 K(x,T(T(y,z),z)) = K(x,y). [hyper(66,a,7681,a,b,7986,a)]. 7994 K(x \ y,T(z,y)) = K(y / x,z). [hyper(66,a,6460,a(flip),b,7986,a)]. 7995 K(x,T(y \ z,z)) = K(x,z / y). [hyper(43,a,6406,a,b,7986,a),flip(a)]. 7996 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(43,a,5150,a,b,7986,a)]. 7997 K(x,T(y,z)) * z = z * K(x,y). [hyper(124,a,7986,a(flip),b,27,a(flip)),flip(a)]. 7998 T(K(x,y \ z),y) = K(x,z / y). [para(118(a,1),7986(a,1,1,2))]. 7999 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7986(a,1),227(a,1,2))]. 8000 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7986(a,1),223(a,1,2,1)),flip(a)]. 8001 T(K(x \ y,z),x) = K(y / x,z). [para(7774(a,1),7986(a,1,1))]. 8002 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7986(a,1),7767(a,1,1)),flip(a)]. 8003 K(T(x,y),z \ y) = K(x,y / z). [hyper(7708,a,7990,a)]. 8004 x * K(T(x,y),T(z,y)) = T(x,z). [hyper(124,a,7990,a,b,5125,a(flip))]. 8006 K(x,T(y,z)) \ z = z * K(y,x). [hyper(124,a,7990,a(flip),b,7679,a),flip(a)]. 8007 K(T(T(x,y),z),T(u,y)) = K(T(x,z),u). [para(28(a,1),7990(a,1,1))]. 8008 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(28(a,1),7990(a,1,2))]. 8009 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(30(a,2),7990(a,1,1))]. 8010 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(30(a,2),7990(a,1,2))]. 8011 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(32(a,2),7990(a,1,1))]. 8012 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(32(a,2),7990(a,1,2))]. 8013 K(x \ y,T(z,x)) = K(y / x,z). [para(118(a,1),7990(a,1,1))]. 8014 K(T(x,y),y \ z) = K(x,z / y). [para(118(a,1),7990(a,1,2))]. 8015 K((x * y) / x,z) = K(y,T(z,x)). [para(208(a,1),7990(a,1,1)),flip(a)]. 8016 K(x,(y * z) / y) = K(T(x,y),z). [para(208(a,1),7990(a,1,2)),flip(a)]. 8017 K(x / (x / y),z) = K(y,T(z,x / y)). [para(230(a,1),7990(a,1,1)),flip(a)]. 8018 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(231(a,1),7990(a,1,1))]. 8019 K(R(x \ y,z,u),T(w,x)) = K(R(y / x,z,u),w). [para(233(a,1),7990(a,1,1))]. 8020 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(713(a,2),7990(a,1,2)),flip(a)]. 8021 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(981(a,1),7990(a,1,2))]. 8022 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(1225(a,1),7990(a,1,1)),flip(a)]. 8023 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3991(a,1),7990(a,1,1))]. 8024 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4200(a,1),7990(a,1,2))]. 8025 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(4114(a,1),7990(a,1,2)),flip(a)]. 8026 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4202(a,1),7990(a,1,1)),flip(a)]. 8027 K(x * K(y,x),z) = K(x,T(z,y)). [para(5150(a,1),7990(a,1,1)),flip(a)]. 8028 K(x,y * K(z,y)) = K(T(x,z),y). [para(5150(a,1),7990(a,1,2)),flip(a)]. 8029 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5240(a,1),7990(a,1,1)),flip(a)]. 8030 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5240(a,1),7990(a,1,2)),flip(a)]. 8031 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7990(a,1),5594(a,1,1)),flip(a)]. 8032 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(7990(a,1),5721(a,1,1,1,2))]. 8033 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),6261(a,1,1))]. 8034 R(x,K(y,z),T(y,u)) = x. [para(7990(a,1),6312(a,1,2))]. 8035 K(T(x,y),z) * y = y * K(x,z). [para(7990(a,1),7682(a,1,2)),flip(a)]. 8037 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(8034(a,1),5759(a,1,1)),flip(a)]. 8038 K(x,T(y \ z,y)) = K(x,z / y). [para(118(a,1),7991(a,1,2,1))]. 8040 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(757(a,2),7991(a,1,2))]. 8041 K(x,y \ z) * z = z * K(x,z / y). [para(6406(a,1),7979(a,1,1))]. 8044 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(7985(a,2),6100(a,1,1))]. 8045 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(66,a,7695,a(flip),b,7994,a)]. 8046 K(x / (x / y),z) = K(y,T(z,x)). [hyper(66,a,626,a(flip),b,7994,a),flip(a)]. 8048 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7626(a,1),7994(a,1,2))]. 8049 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7994(a,1),7708(a,1))]. 8051 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5630,a,7997,a)]. 8052 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(123,a,7997,a(flip),b,5153,a)]. 8053 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7997(a,1),589(a,1,2,1)),flip(a)]. 8054 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7997(a,1),5537(a,1,1))]. 8055 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7997(a,1),5463(a,1,1,3)),flip(a)]. 8056 T(x,y * K(x,z)) = T(x,y). [para(7997(a,1),7626(a,1,2))]. 8058 K(x,y * K(x,z)) = x \ T(x,y). [hyper(122,a,8056,a(flip),b,5130,a(flip)),flip(a)]. 8061 T(x,y * T(x,z)) = T(x,y * x). [para(6322(a,1),8056(a,1,2))]. 8062 T(x,y * K(z,x)) = T(x,y). [para(7392(a,1),8056(a,1,2)),flip(a)]. 8063 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(8062(a,1),4932(a,2,1,2))]. 8064 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8062(a,1),5178(a,1,2,1)),flip(a)]. 8065 T(K(x,y \ z),z) = T(K(x,y \ z),y). [hyper(285,a,7985,a,b,7998,a)]. 8067 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(285,a,5830,a,b,8001,a),flip(a)]. 8069 K(x / y,y / z) != u | K(y \ x,z \ y) = u. [para(8001(a,1),6549(a,1))]. 8071 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8001(a,1),7704(a,1,2))]. 8073 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),(x \ z) / u). [hyper(66,a,7799,a(flip),b,8003,a)]. 8074 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(66,a,7795,a(flip),b,8003,a)]. 8075 K(T(x,y),z \ (x \ y)) = K(x,(x \ y) / z). [hyper(66,a,7792,a(flip),b,8003,a)]. 8076 K(x,y / (y / z)) = K(T(x,y),z). [para(90(a,1),8003(a,1,2)),flip(a)]. 8077 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(7215(a,1),8003(a,1,1))]. 8078 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(208(a,1),8004(a,1,2,1))]. 8079 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5252(a,1),8004(a,1,2,2)),flip(a)]. 8080 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(138,a,8006,a)]. 8082 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(66,a,7742,a(flip),b,8013,a),flip(a)]. 8083 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(19(a,2),8013(a,1,1)),flip(a)]. 8084 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(28(a,1),8013(a,1,2))]. 8085 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4200(a,1),8013(a,1,2)),flip(a)]. 8086 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7630(a,1),8013(a,1,2))]. 8087 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8056(a,1),8013(a,1,2))]. 8088 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(66,a,7792,a(flip),b,8014,a)]. 8089 K(L(T(x,y),z,u),y \ w) = K(L(x,z,u),w / y). [para(30(a,2),8014(a,1,1))]. 8090 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [para(32(a,2),8014(a,1,1))]. 8092 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4118(a,1),8014(a,1,1))]. 8093 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8062(a,1),8014(a,1,1))]. 8094 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(66,a,5805,a,b,8015,a)]. 8095 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(66,a,5803,a,b,8015,a)]. 8096 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [hyper(66,a,6628,a(flip),b,8015,a)]. 8097 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(745(a,1),8015(a,1,1))]. 8098 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3965(a,1),8015(a,1,1))]. 8099 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3994(a,1),8015(a,1,1))]. 8100 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(5388(a,2),8015(a,1,1))]. 8101 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8015(a,1),5953(a,1,1))]. 8102 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(66,a,5424,a,b,8016,a)]. 8103 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(783(a,2),8016(a,1,2))]. 8104 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(8016(a,1),5226(a,1,2))]. 8105 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6516,a,b,8027,a)]. 8106 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(66,a,5606,a,b,8027,a)]. 8107 T(K(x * K(y,x),z \ 1),u) = K(x,T(T(z,u) \ 1,y)). [hyper(66,a,6007,a(flip),b,8027,a)]. 8108 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8027(a,1),5721(a,1,1,1,2)),flip(a)]. 8109 K(T(x,y),T(z,y * L(x,u,w))) = K(R(x,y,L(x,u,w)),z). [para(6829(a,1),8027(a,1,1)),flip(a)]. 8110 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7098(a,1),8027(a,1,1)),flip(a)]. 8111 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7761(a,1),8027(a,1,1,2))]. 8112 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7773(a,1),8027(a,1,1,2)),flip(a)]. 8114 L(K(x \ 1,y * K(z,y)),u,w) = K(T(L(x,u,w) \ 1,z),y). [hyper(66,a,5977,a,b,8028,a)]. 8115 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5085(a,2),8028(a,1,2,2))]. 8116 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5785(a,2),8028(a,1,2,2))]. 8117 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8028(a,1),5793(a,1,2,2)),flip(a)]. 8118 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5838(a,2),8028(a,1,2,2))]. 8119 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8028(a,1),5746(a,1,2,1))]. 8120 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7797(a,1),8035(a,1,1))]. 8122 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(28(a,1),8046(a,2,2))]. 8123 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8046(a,1),7031(a,1,1)),flip(a)]. 8124 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7649(a,1),8046(a,1,1))]. 8125 K(x,y * K(x,z)) = K(x,y). [hyper(285,a,5125,a,b,8058,a),flip(a)]. 8126 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8058(a,2),5208(a,1))]. 8128 K(x,y * T(x,z)) = K(x,y * x). [para(6322(a,1),8125(a,1,2))]. 8130 K(x \ y,z * (y / x)) = K(x \ y,z * (x \ y)). [para(6585(a,1),8125(a,1,2)),flip(a)]. 8131 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6587(a,1),8125(a,1,2)),flip(a)]. 8133 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8125(a,1),6328(a,1,1)),flip(a)]. 8134 K(x,y * K(z,x)) = K(x,y). [para(7392(a,1),8125(a,1,2)),flip(a)]. 8135 K(x,y / K(z,x)) = K(x,y). [para(7396(a,2),8125(a,1,2))]. 8136 K(x,y * T(z,x)) = K(x,y * z). [para(7402(a,1),8125(a,1,2)),flip(a)]. 8137 K(x,K(y,x) \ z) = K(x,z). [para(7680(a,1),8125(a,1,2))]. 8138 K(x,K(x,y) * z) = K(x,z). [para(7682(a,1),8125(a,1,2))]. 8139 K(x,T(y,x) \ z) = K(x,y \ z). [para(7736(a,1),8125(a,1,2))]. 8140 K(x * K(y,z),z) = 1 / K(z,x). [para(8134(a,1),5344(a,1,2)),flip(a)]. 8141 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(8134(a,1),5387(a,1,1,2))]. 8142 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(8134(a,1),6105(a,1,1))]. 8143 K(x,y \ T(z,x)) = K(x,y \ z). [para(5818(a,1),8134(a,1,2))]. 8146 K(x,K(x,y) \ z) = K(x,z). [para(7765(a,1),8134(a,1,2))]. 8147 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(66,a,5707,a(flip),b,8135,a),flip(a)]. 8148 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(5981(a,1),8135(a,1,2,2))]. 8149 K(x,T(x,y) * z) = K(x,x * z). [para(5534(a,1),8137(a,1,2))]. 8150 K(x,T(x,y) \ z) = K(x,x \ z). [para(5585(a,1),8137(a,1,2)),flip(a)]. 8151 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8137(a,1),7872(a,1,2,2)),flip(a)]. 8152 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(8138(a,1),3185(a,1,2))]. 8153 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(5517(a,2),8138(a,1,2))]. 8154 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5854(a,1),8138(a,1,2)),flip(a)]. 8155 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6094(a,1),8138(a,1,2,1))]. 8156 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(8138(a,1),7860(a,1,1)),flip(a)]. 8157 K(x,K(x,y) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,8146,a),flip(a)]. 8159 T(x,y * T(x,z)) = T(x,x * y). [hyper(285,a,4182,a(flip),b,8061,a),flip(a)]. 8160 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(8061(a,1),7639(a,1,2,2))]. 8161 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(8061(a,1),7994(a,1,2))]. 8162 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(118(a,1),8128(a,1,2,2)),flip(a)]. 8163 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(8128(a,1),7889(a,1,1,2)),flip(a)]. 8164 K(x,(x \ T(y * x,x \ 1)) \ z) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(2172(a,1),8139(a,1,2,1))]. 8165 K(x * K(y,z),z) = K(x,z). [hyper(285,a,5344,a(flip),b,8140,a),flip(a)]. 8167 K(x * T(y,z),z) = K(x * y,z). [para(1270(a,1),8165(a,1,1))]. 8170 K(x \ T(y,z),z) = K(x \ y,z). [para(5818(a,1),8165(a,1,1))]. 8172 K(x / (y / z),z) = K(x / (z \ y),z). [para(6533(a,1),8165(a,1,1))]. 8173 K(x * K(y,z),y) = K(x,y). [para(7392(a,1),8165(a,1,1)),flip(a)]. 8174 K(x * T(y,z),y) = K(x * y,y). [para(7402(a,1),8165(a,1,1)),flip(a)]. 8175 K(x * K(y,T(z,u)),z) = K(x,z). [para(7687(a,1),8165(a,1,1,2))]. 8176 K(K(x,y) * z,x) = K(z,x). [para(7723(a,1),8165(a,1,1)),flip(a)]. 8177 K(K(x,y) * z,y) = K(z,y). [para(7756(a,1),8165(a,1,1))]. 8178 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7764(a,1),8165(a,1,1,2))]. 8179 K(K(x,y) \ z,x) = K(z,x). [para(7765(a,1),8165(a,1,1))]. 8180 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5949(a,1),8173(a,1,1,2))]. 8183 K((x / y) * z,y) = K((y \ x) * z,y). [para(6565(a,1),8173(a,1,1))]. 8185 K(T(x,y) * z,x) = K(x * z,x). [para(5219(a,1),8176(a,1,1))]. 8186 K(((x * y) / x) \ z,y) = K(y \ z,y). [para(5517(a,2),8176(a,1,1))]. 8187 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(5854(a,1),8176(a,1,1)),flip(a)]. 8188 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6094(a,1),8176(a,1,1,1))]. 8189 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6254(a,1),8176(a,1,1)),flip(a)]. 8190 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8176(a,1),6374(a,1,1))]. 8192 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7776(a,1),8177(a,1,1,1))]. 8194 K(x,y / T(x,z)) = K(x,x \ y). [hyper(66,a,7717,a,b,8150,a)]. 8195 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(118(a,1),8150(a,1,2,1)),flip(a)]. 8196 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(8150(a,2),7936(a,1,2))]. 8198 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6764(a,1),8167(a,1,1)),flip(a)]. 8199 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(27(a,1),8170(a,1,1,2))]. 8200 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(118(a,1),8170(a,1,1,2)),flip(a)]. 8202 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6320(a,1),8175(a,1,1))]. 8203 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [hyper(124,a,8185,a(flip),b,5125,a(flip))]. 8206 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(8194(a,1),5550(a,2,1))]. 8209 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(7888(a,1),8126(a,1,2))]. 8210 K(x,y * (z * K(u,x))) = K(x,y * z). [para(178(a,1),8148(a,1,2)),flip(a)]. 8211 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(112(a,1),8155(a,1,2))]. 8212 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7014(a,1),8155(a,1,2,1))]. 8215 K(x * (y * K(z,u)),u) = K(x * y,u). [para(7558(a,1),8180(a,1,1)),flip(a)]. 8216 K((K(x,y) * z) * u,x) = K(z * u,x). [para(112(a,1),8188(a,1,1))]. 8217 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7990(a,1),8188(a,1,1,1,1))]. 8221 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(7681(a,1),8209(a,1))]. 8222 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5146(a,1),8212(a,1,2))]. 8223 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5516(a,1),8212(a,1,2)),flip(a)]. 8224 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5854(a,1),8212(a,1,2)),flip(a)]. 8225 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7940(a,1),8221(a,1))]. 8226 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(285,a,5130,a,b,7956,a),flip(a)]. 8227 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7956(a,2),5180(a,1))]. 8228 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(66,a,6590,a(flip),b,8226,a)]. 8229 T(x,K(y,y * z)) = T(x,K(y,z)). [para(14(a,1),8226(a,1,2,2)),flip(a)]. 8230 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8225,a,8229,a),flip(a)]. 8231 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(285,a,2227,a(flip),b,8229,a),flip(a)]. 8232 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(66,a,7943,a(flip),b,8229,a),flip(a)]. 8233 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(57,a,8231,a)]. 8234 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7968(a,1),46(a,1))]. 8235 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(285,a,7958,a(flip),b,7973,a),flip(a)]. 8236 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(66,a,6080,a,b,7984,a)]. 8237 K((x \ y) \ K(x \ y,z),u) = T(K(y \ x,u),z). [para(6468(a,1),7984(a,1,1)),flip(a)]. 8238 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7996(a,1),5392(a,1,1)),flip(a)]. 8239 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7962(a,1),7996(a,1,2))]. 8240 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(285,a,5743,a,b,8002,a),flip(a)]. 8241 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8002(a,2),5744(a,1))]. 8243 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(66,a,8046,a(flip),b,8017,a),flip(a)]. 8244 K(x,T(y,z * x)) = K(x,T(y,z)). [para(16(a,1),8243(a,1,2,2)),flip(a)]. 8245 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(177(a,1),8243(a,1,2,2)),flip(a)]. 8246 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4301(a,1),8243(a,1,2))]. 8247 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4303(a,1),8243(a,1,2))]. 8248 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(8243(a,1),7924(a,2,2))]. 8249 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(8244(a,1),7682(a,1,2))]. 8250 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8244(a,1),7997(a,1,1))]. 8251 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(285,a,8076,a(flip),b,8024,a),flip(a)]. 8254 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(27(a,2),8067(a,1,1,1)),flip(a)]. 8256 (((x * y) / x) \ z) * K(y,y \ z) = (y * (((x * y) / x) \ z)) / y. [hyper(124,a,8153,a(flip),b,5167,a(flip))]. 8258 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(285,a,7860,a(flip),b,8156,a),flip(a)]. 8259 K(x \ (y * L(x,z,u)),x) = K((x \ y) * L(x,z,u),x). [hyper(66,a,5330,a,b,8183,a)]. 8260 (((x * y) / x) \ z) \ K(y \ z,y) = ((y * (((x * y) / x) \ z)) / y) \ 1. [hyper(122,a,8186,a(flip),b,5412,a(flip))]. 8262 K(x * ((y * z) / y),z) = K(x * z,z). [para(5192(a,2),8189(a,1,1,2))]. 8263 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5360(a,1),8189(a,1,1,2)),flip(a)]. 8264 K((x / (x / y)) * z,y) = K(y * z,y). [para(5098(a,2),8189(a,1,1))]. 8265 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5709(a,1),8189(a,1,1,2))]. 8266 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5824(a,1),8189(a,1,1,2))]. 8267 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(66,a,7218,a(flip),b,8192,a)]. 8268 (K(x,y) * z) * K(z,T(y,u)) = T(K(x,y) * z,T(y,u)). [hyper(124,a,8192,a(flip),b,5125,a(flip))]. 8269 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5158(a,1),8192(a,1,1)),flip(a)]. 8270 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5516(a,1),8192(a,1,1)),flip(a)]. 8271 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8200(a,1),5803(a,1,1,1,2))]. 8272 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8202(a,1),5720(a,1,1,2))]. 8273 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(1283(a,1),8210(a,1,2,2))]. 8274 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5981(a,1),8210(a,1,2,2,2))]. 8275 K(x,y * (z * K(x,u))) = K(x,y * z). [para(7392(a,1),8210(a,1,2,2)),flip(a)]. 8276 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7723(a,1),8210(a,1,2,2)),flip(a)]. 8277 K(x,(y * x) * z) = K(x,(x * y) * z). [para(5146(a,1),8211(a,1,2,1)),flip(a)]. 8279 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6319(a,1),8215(a,1,1,2)),flip(a)]. 8280 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6626(a,2),8233(a,1,1))]. 8281 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5413(a,2),8236(a,2,1)),flip(a)]. 8282 K(T(x,y) \ 1,z) * K(x \ K(x,y),K(x,y) \ x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8236(a,2),5541(a,1,1))]. 8283 T(x,T(T(y,z),z)) = T(x,y). [hyper(37,a,7825,a,b,8240,a(flip))]. 8284 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(8240(a,1),221(a,1,2))]. 8285 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8240(a,2),217(a,1,1,1))]. 8286 T(x,K(y,x) * T(y,z)) = T(x,T(y,T(z,x))). [para(8240(a,1),4122(a,1,2))]. 8287 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(8240(a,2),5744(a,1))]. 8288 T(x,(y * z) / y) = T(x,T(z,y)). [para(208(a,1),8283(a,1,2,1)),flip(a)]. 8289 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5150(a,1),8283(a,1,2,1)),flip(a)]. 8290 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(66,a,7110,a(flip),b,8289,a),flip(a)]. 8292 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(66,a,7881,a,b,8258,a)]. 8293 K(x * ((y * z) / y),z) = K(z * x,z). [hyper(285,a,5785,a(flip),b,8262,a),flip(a)]. 8296 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8263(a,1),5805(a,1,2,1,2)),flip(a)]. 8299 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5949(a,1),8275(a,1,2,2,2))]. 8300 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6254(a,1),8276(a,1,2,2)),flip(a)]. 8301 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8280(a,1),7945(a,1,1))]. 8302 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(285,a,7908,a,b,8292,a),flip(a)]. 8303 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(285,a,7881,a,b,8292,a),flip(a)]. 8304 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5360(a,1),8302(a,1,1)),flip(a)]. 8305 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5360(a,1),8303(a,1,1)),flip(a)]. 8306 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8303(a,1),6353(a,1,3))]. 8307 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7997(a,1),8303(a,1,1))]. 8308 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6900,a,8306,a)]. 8309 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8306(a,1),478(a,1,1)),flip(a)]. 8310 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(285,a,7884,a,b,8304,a),flip(a)]. 8311 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7687(a,1),8304(a,1,2,2,1))]. 8312 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(285,a,8292,a(flip),b,8305,a),flip(a)]. 8313 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5737(a,1),8310(a,1,2,2))]. 8314 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3477,a,7863,a),flip(a)]. 8315 T(x,K(y,z)) * u != x * w | K(y,K(x,z)) * u = w. [para(7892(a,1),46(a,1))]. 8316 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7396(a,2),7909(a,1,2))]. 8317 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7961(a,1),7909(a,1,1))]. 8318 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(6427(a,1),7916(a,1,2))]. 8319 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5319(a,1),7919(a,1,1,2))]. 8322 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7944(a,1),7761(a,1,1)),flip(a)]. 8324 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(285,a,7973,a,b,7974,a),flip(a)]. 8325 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(66,a,6651,a(flip),b,8009,a)]. 8326 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1521(a,1),8009(a,1,1))]. 8327 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6652,a,8010,a)]. 8328 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(115(a,1),8010(a,1,2,1))]. 8329 K(T(x,y),T(z,R(z,u,w) * y)) = K(x,L(z,y,R(z,u,w))). [para(1509(a,1),8010(a,1,2))]. 8330 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1521(a,1),8010(a,1,2))]. 8331 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(32(a,2),8328(a,1,1))]. 8332 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4200(a,1),8011(a,1,1,1)),flip(a)]. 8333 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4275(a,1),8011(a,1,1))]. 8334 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5149(a,1),8023(a,1,2,2))]. 8335 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(66,a,8016,a(flip),b,8025,a)]. 8336 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(32(a,2),8335(a,1,1))]. 8337 K(T(x,y),T(z,y * z)) = K(x,L(z,y,z)). [para(5400(a,1),8030(a,1,2)),flip(a)]. 8338 K((x * y) \ z,L(y,x,y)) = K(T(z / (x * y),x),y). [hyper(66,a,8018,a(flip),b,8337,a),flip(a)]. 8339 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8031(a,1),425(a,1,1,2)),flip(a)]. 8340 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8031(a,1),7990(a,1,1))]. 8341 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8028(a,1),8031(a,1,1,2))]. 8342 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5150(a,1),8040(a,1,2,1,1)),flip(a)]. 8343 (K(x \ 1,y) \ z) * K(z / K(x \ 1,y),x) = T(K(x \ 1,y) \ z,x). [para(1407(a,1),8071(a,2,2))]. 8344 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(66,a,7770,a(flip),b,8084,a),flip(a)]. 8345 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6912(a,1),8097(a,1,1))]. 8346 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [hyper(124,a,8099,a(flip),b,5072,a),flip(a)]. 8347 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(66,a,8028,a(flip),b,8116,a)]. 8348 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(32(a,2),8347(a,1,1))]. 8349 K(T(x / (x / y),z),u * K(R(u,w,v5) * x,u)) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(7099(a,1),8124(a,2,2))]. 8350 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1270(a,1),8178(a,1,1))]. 8351 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(5082(a,1),8178(a,1,1)),flip(a)]. 8353 K((x \ 1) * y,T(z,y)) = K((x \ 1) * y,T(z,x)). [para(3029(a,1),8247(a,1,2)),flip(a)]. 8354 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(285,a,7881,a,b,8248,a),flip(a)]. 8355 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8249(a,2),6136(a,1,2,1))]. 8356 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7681(a,1),8249(a,1,2))]. 8357 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(285,a,6322,a(flip),b,8250,a),flip(a)]. 8358 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5775,a,8357,a)]. 8359 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(123,a,8357,a(flip),b,5518,a(flip))]. 8360 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7681(a,1),8357(a,1,1))]. 8361 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7696(a,1),8357(a,1,1))]. 8362 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(123,a,280,a(flip),b,8358,a)]. 8363 T(x,T(y,x \ y)) = T(x,y). [hyper(38,a,3997,a,b,8358,a),flip(a)]. 8364 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8358(a,1),294(a,1,1)),flip(b)]. 8366 T(x,T(x * y,y)) = T(x,x * y). [para(14(a,1),8363(a,1,2,2))]. 8367 T(x / y,T(x,y)) = T(x / y,x). [para(90(a,1),8363(a,1,2,2))]. 8368 T(x \ y,T(y,x)) = T(x \ y,y). [para(3976(a,1),8363(a,1,2))]. 8369 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [para(5149(a,1),8367(a,1,1))]. 8370 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(8368(a,1),5179(a,1,2,1))]. 8371 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8368(a,1),5816(a,1,2,1,2)),flip(a)]. 8372 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(118(a,1),8359(a,1,2))]. 8373 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1705(a,1),8359(a,1,1,2))]. 8374 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7630(a,1),8359(a,1,1,2)),flip(a)]. 8375 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8056(a,1),8359(a,1,1,2)),flip(a)]. 8376 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(66,a,4512,a(flip),b,8360,a),flip(a)]. 8377 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(66,a,7596,a(flip),b,8254,a),flip(a)]. 8378 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(7279(a,1),8266(a,1,1,2))]. 8379 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8269(a,1),5722(a,1,2,1,2)),flip(a)]. 8381 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(7290(a,1),8273(a,1,2,2))]. 8382 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4085(a,1),8279(a,1,1,2)),flip(a)]. 8383 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(791(a,1),8281(a,1,1,1))]. 8384 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(8002(a,2),8284(a,1,2))]. 8385 T(x,T(y,T(z,x))) = T(x,T(y,z)). [hyper(66,a,7628,a(flip),b,8286,a),flip(a)]. 8387 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(118(a,1),8385(a,1,2,2)),flip(a)]. 8388 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8308(a,2),5459(a,1,1))]. 8389 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8311(a,1),7917(a,1,1))]. 8390 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8311(a,1),7918(a,1,1))]. 8391 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(285,a,8013,a(flip),b,8344,a),flip(a)]. 8392 T(K(x,y),z * x) = T(K(x,y),z). [hyper(225,a,8356,a)]. 8393 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(285,a,3213,a(flip),b,8392,a),flip(a)]. 8394 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(224,a,8376,a,b,5518,a(flip))]. 8396 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8230(a,1),8376(a,1,1)),flip(a)]. 8397 T(K(x,y),T(z,x)) = T(K(x,y),z). [para(2227(a,1),8394(a,1,1))]. 8398 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7342(a,1),8394(a,1,1)),flip(a)]. 8399 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7344(a,1),8394(a,1,1))]. 8400 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5726,a,8398,a)]. 8404 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7940(a,1),8398(a,1,1))]. 8405 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(118(a,1),8399(a,1,2)),flip(a)]. 8406 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(7953,a,8400,a)]. 8407 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8400(a,1),7693(a,1,2))]. 8409 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(66,a,5240,a(flip),b,8404,a),flip(a)]. 8410 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [hyper(66,a,231,a(flip),b,8404,a),flip(a)]. 8411 x \ T(T(x,y),K(y,z)) = T(K(x,y),z). [hyper(122,a,8406,a,b,7704,a)]. 8412 K(x,T(T(y,z) \ 1,K(z,u))) = K(x,T(y,T(z,u)) \ 1). [para(8406(a,1),7692(a,2,2,1))]. 8413 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(118(a,1),8407(a,1,2,2)),flip(a)]. 8414 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(714(a,1),8407(a,1,2,2))]. 8415 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5391(a,1),8407(a,1,2,2))]. 8416 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(8405(a,1),7979(a,1,1))]. 8418 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(1 / x,y),z)) * x. [para(8411(a,1),919(a,1,1,2)),flip(a)]. 8419 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(66,a,8243,a(flip),b,8413,a),flip(a)]. 8420 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(66,a,8244,a,b,8419,a)]. 8421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(14(a,1),8419(a,1,2,2)),flip(a)]. 8422 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(8419(a,1),7864(a,1,1,2))]. 8423 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(118(a,1),8421(a,1,2)),flip(a)]. 8424 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4922(a,1),8420(a,1,2,2))]. 8425 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(5150(a,1),8384(a,1,2,1)),flip(a)]. 8426 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5346(a,1),7783(a,1))]. 8428 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7760(a,1),8426(a,1))]. 8429 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7762(a,2),8426(a,1))]. 8430 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8016(a,2),8426(a,1))]. 8434 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6439(a,2),8428(a,1))]. 8435 K(x \ y,z) != u | K(y / x,T(z,y)) = u. [para(6460(a,1),8428(a,1))]. 8438 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7924(a,2),7873(a,1,2))]. 8446 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(7927,a,6153,a)]. 8448 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,8112,a),flip(a)]. 8449 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(118(a,1),8448(a,1,2,2)),flip(a)]. 8450 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(66,a,6653,a(flip),b,8190,a)]. 8451 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8190(a,1),3653(a,1)),flip(b)]. 8452 K(x * y,x) != z | K(y * x,x) = z. [para(5146(a,1),8451(a,1,1))]. 8455 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(6572(a,2),8452(a,1))]. 8456 K(L(x,K(y,z),u),y) = K(x,y). [hyper(285,a,8176,a(flip),b,8450,a),flip(a)]. 8458 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8456(a,1,1))]. 8459 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7014(a,1),8217(a,1,1,1))]. 8460 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(103(a,1),8274(a,1,2,2))]. 8461 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(32(a,2),7690(a,2,2))]. 8462 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2963(a,1),7725(a,1,2,2))]. 8463 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(66,a,7459,a,b,7728,a)]. 8464 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6760,a,7734,a),flip(a)]. 8465 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(445,a,7734,a)]. 8466 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(66,a,6661,a(flip),b,8465,a)]. 8467 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(66,a,7186,a,b,7755,a)]. 8468 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(7821(a,1),6628(a,2,2,1))]. 8469 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(285,a,5177,a(flip),b,7824,a),flip(a)]. 8470 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(8469(a,1),6808(a,1,1))]. 8471 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4833(a,1),7837(a,1,1))]. 8472 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5304,a,7839,a),flip(a)]. 8473 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(66,a,6597,a,b,8472,a)]. 8474 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(66,a,7758,a,b,8473,a)]. 8476 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(7958(a,1),7869(a,1,1))]. 8477 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7392(a,1),7871(a,1,1)),flip(a)]. 8478 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7875(a,2),5296(a,1,1))]. 8479 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6032(a,1),7876(a,1,1)),flip(a)]. 8481 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7924(a,2),7937(a,1,1))]. 8482 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(194,a,7939,a(flip)),flip(a)]. 8483 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(7154(a,1),8482(a,1,2))]. 8484 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(8483(a,1),7343(a,1,1)),flip(a)]. 8485 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(285,a,8308,a(flip),b,7947,a),flip(a)]. 8487 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(7860(a,2),7964(a,2,2))]. 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(285,a,7868,a(flip),b,7967,a),flip(a)]. 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(7341(a,1),8488(a,1,2))]. 8491 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4182(a,1),7971(a,1,2,2,2))]. 8493 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [hyper(285,a,7681,a,b,7975,a),flip(a)]. 8494 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,x \ y)). [para(5073(a,2),7976(a,1,2,2))]. 8495 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(123,a,7558,a(flip),b,7981,a),flip(a)]. 8496 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2963(a,1),7981(a,1,1))]. 8497 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(32(a,1),7982(a,1,1))]. 8498 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5727,a,7988,a)]. 8499 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(66,a,5240,a(flip),b,8498,a),flip(a)]. 8500 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [hyper(262,a,8000,a)]. 8501 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8056(a,1),8000(a,1,1,1,2))]. 8502 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(66,a,8098,a(flip),b,8022,a),flip(a)]. 8503 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8502(a,1),7682(a,1,2))]. 8504 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(66,a,8124,a(flip),b,8026,a),flip(a)]. 8505 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(14(a,1),8504(a,1,2,2)),flip(a)]. 8506 (x * K(y,z)) * u != x * (K(y,w) * T(y,z)) | T(y,w) = u. [para(8037(a,1),46(a,1)),flip(a)]. 8507 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,8063,a),flip(a)]. 8508 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6546,a,8078,a)]. 8509 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5452,a,8508,a)]. 8510 K(x,y) * T((y * x) / y,z) != u | T(x,T(z,y)) = u. [para(8508(a,1),5453(a,1,2)),flip(b)]. 8511 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(15(a,1),8509(a,1,2,1,1))]. 8512 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(638(a,1),8509(a,1,2))]. 8513 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5149(a,1),8509(a,1,2,1))]. 8514 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6594(a,1),8513(a,1,2)),flip(a)]. 8515 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(66,a,4981,a,b,8079,a)]. 8516 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(66,a,5830,a,b,8082,a)]. 8517 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(404(a,1),8085(a,1,1,2))]. 8518 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(115(a,1),8089(a,1,1,1)),flip(a)]. 8519 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4553(a,1),8090(a,1,2)),flip(a)]. 8520 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(124,a,8103,a(flip),b,5125,a(flip)),flip(a)]. 8522 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5149(a,2),8105(a,1,2,1))]. 8523 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6774,a,b,8106,a)]. 8524 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8117(a,1),5123(a,2,2))]. 8525 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(285,a,7872,a(flip),b,8151,a),flip(a)]. 8526 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(7929(a,1),8163(a,2,1))]. 8527 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(285,a,7917,a(flip),b,8526,a),flip(a)]. 8528 T(x,K(y,z * x)) = T(x,K(y,z)). [para(115(a,1),8527(a,1,2,2,2))]. 8529 T(x,K(y,x * z)) = T(x,K(y,z)). [para(116(a,1),8527(a,1,2,2))]. 8530 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(207(a,1),8527(a,1,2,2)),flip(a)]. 8531 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8528,a),flip(a)]. 8532 T(x,K(y,z / x)) = T(x,K(y,z)). [para(17(a,1),8528(a,1,2,2)),flip(a)]. 8533 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8528(a,1),7945(a,1,1))]. 8534 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8529,a),flip(a)]. 8536 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8530,a),flip(a)]. 8537 T(x,K(y,x \ z)) != u | T(x,K(z,y)) = u. [para(8530(a,2),7953(a,1))]. 8538 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7953,a,8531,a)]. 8539 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8531(a,1),7701(a,1,2))]. 8540 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8534(a,1),28(a,1,1)),flip(a)]. 8541 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(8536(a,2),7953(a,1))]. 8542 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(32(a,2),8539(a,1,2))]. 8543 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [hyper(124,a,8195,a(flip),b,5434,a)]. 8544 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(32(a,2),8223(a,1,2,1))]. 8545 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(998(a,1),8223(a,1,2)),flip(a)]. 8546 K((x \ y) \ K(x \ y,z),u) = K(y \ x,T(u,z)). [hyper(285,a,7681,a,b,8237,a),flip(a)]. 8547 K((x \ y) \ K(x \ y,z),u) != w | K(y \ x,T(u,z)) = w. [para(8237(a,2),8428(a,1))]. 8549 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(66,a,5676,a(flip),b,8301,a),flip(a)]. 8550 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(32(a,2),8336(a,2,1))]. 8551 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(66,a,7112,a,b,8342,a)]. 8552 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6593(a,1),8350(a,1,1)),flip(a)]. 8554 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3492,a,b,8361,a),flip(a)]. 8555 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8362(a,1),6359(a,1,1,1))]. 8556 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6321(a,1),8372(a,1,1))]. 8557 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8054,a,8556,a),flip(a)]. 8558 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(66,a,8387,a(flip),b,8557,a)]. 8559 T(x,T(y,z * x)) = T(x,T(y,z)). [para(16(a,1),8557(a,1,2,2)),flip(a)]. 8560 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(87(a,1),8557(a,1,2,2)),flip(a)]. 8561 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(118(a,1),8558(a,1,2)),flip(a)]. 8562 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6594(a,1),8558(a,1,2))]. 8563 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(8558(a,1),8407(a,1,2))]. 8564 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(118(a,1),8559(a,1,2)),flip(a)]. 8565 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(801(a,1),8559(a,1,2)),flip(a)]. 8566 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8560(a,1),8407(a,1,2))]. 8567 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(5150(a,1),8563(a,1,2,2)),flip(a)]. 8568 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(118(a,1),8566(a,1,2,2)),flip(a)]. 8569 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(285,a,8359,a(flip),b,8375,a),flip(a)]. 8570 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6587(a,1),8569(a,1,2,1)),flip(a)]. 8571 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7703(a,1),8416(a,1,1))]. 8572 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(285,a,7403,a(flip),b,8571,a),flip(a)]. 8573 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7681(a,2),8572(a,1,1))]. 8574 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(38,a,5242,a,b,8425,a)]. 8575 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(285,a,8179,a(flip),b,8458,a),flip(a)]. 8577 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7392(a,1),8575(a,1,1,1)),flip(a)]. 8578 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7702(a,1),8575(a,1,1,1)),flip(a)]. 8579 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),8575(a,1,1,1,2))]. 8580 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1403(a,1),8577(a,1,1,1,2))]. 8581 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(5981(a,1),8577(a,1,1,1,2))]. 8582 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8577(a,1),7399(a,1,1,2)),flip(a)]. 8583 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(66,a,6490,a(flip),b,8578,a)]. 8584 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(105(a,2),8578(a,1,1))]. 8585 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5949(a,1),8583(a,1,1,2))]. 8586 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8585(a,1),5804(a,1,1,1,2)),flip(a)]. 8587 K(x \ K(L(y,z,u),w),y) = K(x \ 1,y). [para(6653(a,1),8585(a,1,1,2))]. 8588 K(x \ K(L(y,z,u),w),T(y,v5)) = K(x \ 1,T(y,v5)). [para(8009(a,1),8587(a,1,1,2))]. 8589 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7704(a,1),8580(a,1,1,1))]. 8590 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(7558(a,1),8581(a,1,1,1)),flip(a)]. 8591 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7681(a,2),8461(a,1,1))]. 8592 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(21(a,1),8487(a,2,2,1))]. 8593 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(285,a,8525,a(flip),b,8489,a),flip(a)]. 8595 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7396(a,1),8593(a,1,2))]. 8596 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8595(a,1),8485(a,1,2))]. 8597 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(8410(a,1),8493(a,2,2))]. 8598 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(224,a,8497,a(flip),b,3968,a(flip))]. 8600 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(5818(a,1),8507(a,1,2))]. 8601 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(8511(a,1),8211(a,1,2,1))]. 8602 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5207,a,8515,a)]. 8603 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5839(a,1),8602(a,1,2,1)),flip(a)]. 8604 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(285,a,7399,a(flip),b,8582,a),flip(a)]. 8605 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8582(a,2),7411(a,1))]. 8607 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7723(a,1),8604(a,1,2,1)),flip(a)]. 8608 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7756(a,1),8604(a,1,2,1))]. 8609 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7776(a,1),8604(a,1,2,1,2))]. 8610 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [hyper(124,a,8607,a(flip),b,5125,a(flip)),flip(a)]. 8611 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(19(a,2),8607(a,1,2)),flip(a)]. 8612 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6254(a,1),8607(a,1,2,1)),flip(a)]. 8613 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(285,a,5130,a,b,8610,a),flip(a)]. 8615 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,8613,a),flip(a)]. 8616 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(5360(a,1),8613(a,1,2,1)),flip(a)]. 8617 K(x \ 1,T(y,z \ K(x,u))) = K(T(x,z \ 1) \ 1,y). [para(8615(a,1),7691(a,1,1,1)),flip(a)]. 8619 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6585(a,1),8605(a,1,2,1))]. 8620 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(96(a,1),8590(a,1,1,1,2)),flip(a)]. 8621 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(8590(a,1),5302(a,2,2,2))]. 8622 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(15(a,1),8591(a,1,2)),flip(a)]. 8623 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(702(a,1),8591(a,2,2))]. 8624 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5150(a,1),8591(a,1,1,2))]. 8626 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(285,a,6735,a(flip),b,8620,a),flip(a)]. 8627 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(285,a,352,a(flip),b,8622,a),flip(a)]. 8628 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(285,a,7681,a(flip),b,8627,a),flip(a)]. 8630 K(L(x,y,y \ 1) \ z,x) = K(x \ z,x). [hyper(285,a,5448,a(flip),b,7846,a),flip(a)]. 8631 K(x / L(y,z,z \ 1),y) = K(y \ x,y). [hyper(66,a,7804,a,b,8630,a)]. 8632 K(x \ (y * L(x,z,z \ 1)),x) = K(y,x). [para(16(a,1),8631(a,1,1)),flip(a)]. 8633 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7856(a,1),7053(a,1,1,2))]. 8635 K(L(x,y,z),K(u,x \ u)) = 1. [hyper(285,a,79,a(flip),b,7903,a),flip(a)]. 8637 K(x,K(L(y,z,u),y \ x)) = 1. [hyper(66,a,7881,a,b,8635,a)]. 8638 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3371(a,1),8044(a,1,1))]. 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(5149(a,1),8510(a,1,2,1))]. 8642 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7727(a,1),46(a,1)),flip(a)]. 8643 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(285,a,8544,a(flip),b,7812,a),flip(a)]. 8645 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(8574(a,1),7835(a,1,2))]. 8646 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(118(a,1),7854(a,1,1,1))]. 8647 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(8646(a,1),6855(a,1,1))]. 8648 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4664(a,2),8647(a,1,1,2))]. 8649 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(66,a,4298,a(flip),b,7855,a),flip(a)]. 8650 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(66,a,5868,a(flip),b,7857,a),flip(a)]. 8651 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5973(a,1),7870(a,1,1)),flip(a)]. 8652 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5973(a,1),7910(a,1,2)),flip(a)]. 8653 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(66,a,8651,a,b,8652,a)]. 8654 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7881(a,1),8653(a,1,1))]. 8655 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4066(a,1),8654(a,2,2))]. 8656 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6090(a,1),8654(a,2,2))]. 8657 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5981(a,1),7911(a,1,2)),flip(a)]. 8658 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [hyper(285,a,5130,a,b,7913,a)]. 8659 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(5986(a,1),7931(a,1,2))]. 8660 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(6327(a,2),8074(a,1,2,2))]. 8661 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(66,a,8579,a(flip),b,8087,a)]. 8663 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(66,a,8013,a(flip),b,8661,a),flip(a)]. 8664 K(x / (y * z),z) = K(x / (z * y),z). [para(96(a,1),8663(a,1,1,2)),flip(a)]. 8665 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7682(a,1),8663(a,1,1,2))]. 8666 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7702(a,1),8663(a,1,1,2)),flip(a)]. 8668 K(x / (y * (K(z,u) * w)),u) = K(x / (y * w),u). [para(6254(a,1),8665(a,1,1,2)),flip(a)]. 8669 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(8665(a,1),7032(a,1,1))]. 8670 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(8666(a,1),5302(a,2,2,2))]. 8671 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(5360(a,1),8668(a,1,1,2,2)),flip(a)]. 8672 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(285,a,5302,a,b,8670,a),flip(a)]. 8673 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(25(a,2),8672(a,1,2)),flip(a)]. 8674 T(x,y / ((x \ z) * x)) = T(x,y / z). [para(5101(a,1),8672(a,1,2,2))]. 8675 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5146(a,1),8672(a,1,2,2))]. 8676 T(x,y / ((x \ z) * x)) = x * K(x,y / z). [hyper(285,a,5130,a(flip),b,8674,a),flip(a)]. 8677 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(5207,a,8676,a)]. 8679 K(x,y / (z * x)) = K(x,y / (x * z)). [para(14(a,1),8677(a,1,2,2,1))]. 8680 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(404(a,1),8677(a,1,2,2,1))]. 8681 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(285,a,6932,a(flip),b,8679,a),flip(a)]. 8682 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(113(a,2),8679(a,2,2)),flip(a)]. 8683 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(17(a,1),8681(a,1,2,2,1)),flip(a)]. 8684 K(x,R(1 / y,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(7284(a,2),8681(a,1,2,2,1)),flip(a)]. 8685 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7299(a,1),8681(a,1,2,2,1))]. 8686 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(66,a,7157,a(flip),b,8683,a),flip(a)]. 8687 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(66,a,5341,a(flip),b,8682,a)]. 8688 K(x,R(x \ y,x,T(z,y))) = K(x,(z * y) / (T(z,y) * x)). [para(116(a,1),8687(a,2,2,1))]. 8689 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [hyper(66,a,7024,a(flip),b,8671,a),flip(a)]. 8690 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(16(a,1),8673(a,1,2)),flip(a)]. 8691 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(285,a,8062,a(flip),b,8690,a),flip(a)]. 8694 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(122,a,8691,a(flip),b,5130,a(flip)),flip(a)]. 8695 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(285,a,5125,a,b,8694,a),flip(a)]. 8696 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8695(a,1,2))]. 8697 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8695(a,1),6106(a,1,1))]. 8698 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(66,a,8609,a(flip),b,8093,a)]. 8700 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(66,a,8014,a(flip),b,8698,a),flip(a)]. 8701 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1270(a,1),8700(a,1,2,2))]. 8702 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5197(a,1),8700(a,1,2,2)),flip(a)]. 8703 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7723(a,1),8700(a,1,2,2)),flip(a)]. 8704 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(25(a,2),8703(a,1,2)),flip(a)]. 8705 K(x \ y,z / ((y / x) * u)) = K(x \ y,z / ((x \ y) * u)). [para(5749(a,1),8703(a,1,2,2)),flip(a)]. 8706 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(16(a,1),8704(a,1,2)),flip(a)]. 8707 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(285,a,8125,a(flip),b,8706,a),flip(a)]. 8710 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8707(a,1,2))]. 8711 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5149(a,1),8102(a,1,1,1,2))]. 8712 K(x,T(T(y,z) \ 1,u)) = T(K(x,T(y \ 1,u)),z). [para(8027(a,1),8107(a,1,1)),flip(a)]. 8713 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(66,a,8115,a(flip),b,8118,a),flip(a)]. 8715 K((x \ y) * L(x,z,z \ 1),x) = K(y,x). [hyper(66,a,8632,a(flip),b,8259,a),flip(a)]. 8716 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(285,a,3462,a(flip),b,8267,a),flip(a)]. 8718 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [hyper(124,a,8716,a(flip),b,97,a),flip(a)]. 8719 T(K(x,y) * z,T(y,u)) = K(x,y) * T(z,T(y,u)). [hyper(6375,a,8268,a),flip(a)]. 8721 K(T(K(x,y) * z,T(y,u)) \ 1,w) = K(T(z,T(y,u)) \ K(y,x),w). [para(8719(a,2),6490(a,1,1,1))]. 8722 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(8400(a,1),8319(a,2,1))]. 8723 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(285,a,8459,a(flip),b,8322,a),flip(a)]. 8724 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7990(a,1),8325(a,1,1)),flip(a)]. 8725 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(66,a,6655,a(flip),b,8724,a)]. 8726 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(179(a,1),8724(a,1,1,2)),flip(a)]. 8727 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(249(a,1),8724(a,1,1,2))]. 8730 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6403,a,8726,a),flip(a)]. 8731 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(66,a,6648,a(flip),b,8726,a),flip(a)]. 8732 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(66,a,6636,a(flip),b,8726,a),flip(a)]. 8733 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5124(a,2),8726(a,1,2)),flip(a)]. 8734 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7990(a,1),8327(a,1,1)),flip(a)]. 8735 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(179(a,1),8734(a,1,2,2)),flip(a)]. 8736 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6331(a,1),8734(a,1,2,2)),flip(a)]. 8738 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6389,a,8735,a),flip(a)]. 8739 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(124,a,8735,a(flip),b,273,a)]. 8740 T(x,y * (z * x)) = T(x,y * (x * z)). [para(8739(a,1),8056(a,1,2)),flip(a)]. 8741 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(285,a,6646,a(flip),b,8736,a),flip(a)]. 8742 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(8741(a,2),8479(a,2,1)),flip(a)]. 8743 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8332(a,2),5321(a,1,1))]. 8744 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(285,a,8027,a(flip),b,8340,a),flip(a)]. 8745 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(6665(a,1),8345(a,1,1,1,2))]. 8746 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(32(a,2),8348(a,2,1))]. 8747 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(285,a,4230,a(flip),b,8369,a),flip(a)]. 8748 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(66,a,6778,a(flip),b,8747,a)]. 8749 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8364,a,8373,a),flip(a)]. 8750 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(122,a,8749,a(flip),b,5130,a(flip)),flip(a)]. 8751 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(285,a,5125,a,b,8750,a),flip(a)]. 8752 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(66,a,6628,a,b,8751,a)]. 8753 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [hyper(285,a,8359,a(flip),b,8374,a),flip(a)]. 8755 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5150(a,1),8753(a,1,2,1,1)),flip(a)]. 8757 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7865,a,8422,a),flip(a)]. 8758 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(14(a,1),8757(a,1,2,2)),flip(a)]. 8760 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(753(a,1),8512(a,1,2,1,2))]. 8761 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4197(a,1),8520(a,1,2,1))]. 8762 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4811(a,1),8523(a,1,2)),flip(a)]. 8763 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(285,a,5123,a,b,8524,a),flip(a)]. 8764 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5596(a,1),8763(a,2,1,2,1))]. 8765 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7794(a,1),8763(a,2,1,2))]. 8766 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(753(a,1),8543(a,1,2,2,1)),flip(a)]. 8767 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z \ 1)). [hyper(285,a,7691,a(flip),b,8617,a),flip(a)]. 8768 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5383(a,1),8633(a,1,1,2))]. 8769 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(8768(a,2),5821(a,2,1))]. 8770 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(5590,a,8645,a(flip))]. 8771 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7716(a,1),8645(a,1,2))]. 8772 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3978(a,2),8770(a,2,2))]. 8773 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(8409(a,1),8770(a,1,2))]. 8774 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8656(a,2),7930(a,1,1))]. 8775 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(136,a,8711,a)]. 8776 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(8711(a,1),5374(a,1,1))]. 8777 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(285,a,5307,a(flip),b,8718,a),flip(a)]. 8778 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4959,a,8777,a)]. 8779 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(285,a,7876,a,b,8742,a),flip(a)]. 8780 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8775(a,1),5448(a,1,2))]. 8781 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8775(a,1),5454(a,1,2))]. 8782 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(66,a,6566,a(flip),b,8776,a)]. 8783 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5836(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8784 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(6725(a,1),8780(a,1,2,1,2,2))]. 8785 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(8215(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8786 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(8122(a,1),7743(a,1,1))]. 8787 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(87(a,1),7754(a,1,2,1,1))]. 8788 R(x,y,T(z,K(y,u))) = R(x,y,z). [hyper(7818,a,7898,a),flip(a)]. 8789 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(7990(a,1),8788(a,1,3,2))]. 8790 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(8406(a,1),8789(a,1,3))]. 8792 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(285,a,5178,a(flip),b,8064,a),flip(a)]. 8793 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7756(a,1),8792(a,1,2))]. 8794 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5981(a,1),8793(a,1,2,1))]. 8795 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(4227(a,1),8104(a,1,1))]. 8796 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8795(a,1),8215(a,1,1,2)),flip(a)]. 8797 K(x * L(y,z,y),y) = K(y * x,y). [hyper(285,a,8293,a(flip),b,8796,a),flip(a)]. 8801 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8174(a,1),8133(a,2,2))]. 8802 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(285,a,5788,a(flip),b,8801,a),flip(a)]. 8804 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7682(a,1),8238(a,1,1,2)),flip(a)]. 8805 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(66,a,8008,a(flip),b,8326,a),flip(a)]. 8806 K(T(x,R(y,z,u) * w),L(y,w,R(y,z,u))) = K(T(x,w),y). [hyper(66,a,8007,a(flip),b,8329,a),flip(a)]. 8807 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(7147(a,1),8462(a,1,2))]. 8808 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4828(a,1),8500(a,1,1,1,2)),flip(a)]. 8809 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(589(a,1),8611(a,1,2))]. 8810 K(x,a(K(x,y),z,u)) = 1. [hyper(66,a,6013,a(flip),b,8809,a),flip(a)]. 8812 T(x,a(K(x,y),z,u)) = x. [hyper(59,a,8810,a)]. 8813 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,8812,a)]. 8814 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8812(a,1),28(a,1,1)),flip(a)]. 8815 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8812(a,1),7756(a,1,2,1)),flip(a)]. 8816 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8814(a,1),6154(a,1,2))]. 8817 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8813(a,1),7756(a,1,2,1)),flip(a)]. 8818 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8732(a,2,2))]. 8819 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7999,a,8807,a)]. 8821 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5527(a,1),7638(a,1,2))]. 8822 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5527(a,1),8821(a,2,2))]. 8823 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [hyper(124,a,8822,a(flip),b,104,a),flip(a)]. 8824 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4121(a,1),8823(a,1,2,1))]. 8825 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4121(a,1),8824(a,2,2,2))]. 8826 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8825(a,1),4158(a,1,1))]. 8827 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(66,a,7066,a,b,7655,a)]. 8829 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7788(a,2),6546(a,1))]. 8831 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(66,a,7792,a(flip),b,8077,a)]. 8832 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(66,a,7695,a(flip),b,8086,a)]. 8833 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(66,a,7792,a(flip),b,8092,a)]. 8834 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(216(a,1),8833(a,1,2))]. 8835 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6327(a,2),8833(a,1,2,1))]. 8836 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [hyper(66,a,8027,a(flip),b,8108,a),flip(a)]. 8837 L(K(T(x \ 1,y),z),u,w) = K(T(L(x,u,w) \ 1,y),z). [para(8028(a,1),8114(a,1,1))]. 8838 K(T(L(x \ 1,y,z) \ 1,u),w) = L(K(T(x,u),w),y,z). [para(3345(a,1),8837(a,1,1)),flip(a)]. 8839 K(x,T(L(y \ 1,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(8838(a,1),5320(a,1,1)),flip(a)]. 8840 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5335(a,1),8119(a,1,2,2))]. 8841 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(180,a,8840,a)]. 8843 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5149(a,2),8841(a,1,1,1))]. 8844 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5385(a,1),8841(a,1,1)),flip(a)]. 8845 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5400(a,1),8841(a,1,1)),flip(a)]. 8846 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7768(a,1),8845(a,1,1))]. 8847 L(x,y,x) \ x = x \ R(x,y,x). [hyper(66,a,5792,a(flip),b,8846,a),flip(a)]. 8848 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(285,a,2229,a,b,8843,a),flip(a)]. 8849 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1523(a,1),8848(a,1,1)),flip(a)]. 8850 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6280(a,1),8844(a,1,1))]. 8851 R(x,y,x) \ x = x \ L(x,y,x). [hyper(66,a,8549,a(flip),b,8850,a),flip(a)]. 8852 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,7040,a,b,8851,a)]. 8853 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(122,a,8851,a(flip),b,1153,a)]. 8854 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),2708(a,1,1,2,1))]. 8855 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8853(a,1),5056(a,2,2))]. 8856 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(8160(a,1),6629(a,1,2))]. 8857 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(66,a,7696,a(flip),b,8161,a)]. 8858 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(66,a,6692,a(flip),b,8198,a)]. 8859 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(8637(a,1),8318(a,1,2))]. 8860 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(4062(a,1),8346(a,2,2))]. 8861 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(8860(a,1),5731(a,1,1))]. 8862 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(66,a,8748,a(flip),b,8861,a),flip(a)]. 8863 L(x,R(y,x,y),x) = L(x,y,x). [hyper(66,a,5661,a(flip),b,8862,a)]. 8864 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(285,a,4332,a(flip),b,8863,a),flip(a)]. 8865 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(616(a,1),8382(a,1,1,2,1)),flip(a)]. 8866 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(66,a,7114,a(flip),b,8467,a),flip(a)]. 8868 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7681(a,2),8476(a,2,1))]. 8869 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(224,a,8484,a,b,xx)]. 8871 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(8869(a,1),981(a,2,1))]. 8873 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8491(a,1),8438(a,1))]. 8874 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,y)). [hyper(285,a,8226,a(flip),b,8494,a),flip(a)]. 8875 K(x,x \ y) * ((z * (x \ y)) * x) = T((z * (y / x)) * x,K(x,y)). [para(7567(a,1),8874(a,1,2))]. 8876 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(285,a,8513,a(flip),b,8514,a),flip(a)]. 8877 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(15(a,1),8876(a,1,2,1,1)),flip(a)]. 8878 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(66,a,8474,a(flip),b,8877,a)]. 8879 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(7217(a,2),8592(a,2,2))]. 8880 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7681(a,2),8596(a,1,2))]. 8881 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(285,a,5302,a,b,8621,a),flip(a)]. 8882 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(96(a,1),8881(a,1,2,1,2)),flip(a)]. 8883 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7396(a,1),8702(a,1,2)),flip(a)]. 8885 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(8777(a,1),8778(a,1,1))]. 8886 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(5977(a,1),8779(a,2,1,1))]. 8887 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(285,a,5625,a(flip),b,8827,a),flip(a)]. 8888 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(66,a,8516,a(flip),b,8887,a)]. 8889 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [hyper(66,a,4612,a,b,8839,a)]. 8890 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(285,a,1810,a(flip),b,8855,a),flip(a)]. 8891 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5530(a,1),8890(a,1,2))]. 8892 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(285,a,6688,a(flip),b,8858,a),flip(a)]. 8893 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(133,a,8859,a)]. 8894 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(4259(a,1),8864(a,1,2)),flip(a)]. 8895 L(x,L(y,x,y),x) = L(x,y,x). [hyper(285,a,4328,a(flip),b,8894,a),flip(a)]. 8897 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(8895(a,1),34(a,1,1)),flip(a)]. 8898 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(285,a,34,a(flip),b,8897,a),flip(a)]. 8899 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(66,a,5309,a,b,8898,a)]. 8900 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(66,a,7184,a(flip),b,8883,a),flip(a)]. 8901 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(x,T(y,w)),z,u). [hyper(285,a,6032,a(flip),b,8889,a),flip(a)]. 8902 L(K(x,T(y \ 1,z)),u,w) = K(x,T(L(y,u,w) \ 1,z)). [para(87(a,1),8901(a,1,2,1,1,1)),flip(a)]. 8903 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(32(a,2),7793(a,1,1))]. 8904 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8021(a,1),8314(a,1,2))]. 8905 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(285,a,8015,a(flip),b,8101,a),flip(a)]. 8906 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(66,a,8465,a(flip),b,8905,a),flip(a)]. 8907 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6556,a,8906,a)]. 8909 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(66,a,6120,a,b,8906,a)]. 8910 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(14(a,1),8906(a,1,2,1,1)),flip(a)]. 8913 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(66,a,7995,a(flip),b,8910,a),flip(a)]. 8914 K(x,T(L(y,z,u) \ 1,u * z)) = K(x,(u * z) / (u * (z * y))). [para(103(a,1),8913(a,2,2,2))]. 8915 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(66,a,8008,a(flip),b,8110,a),flip(a)]. 8916 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(8470(a,1),6083(a,1,1,1)),flip(a)]. 8918 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8598(a,1),4179(a,1,2))]. 8919 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5074(a,1),8649(a,1,1,1))]. 8920 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5097(a,1),8919(a,1,1)),flip(a)]. 8921 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(285,a,30,a,b,8920,a),flip(a)]. 8922 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(8921(a,1),34(a,1,1)),flip(a)]. 8923 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(66,a,7032,a(flip),b,8669,a),flip(a)]. 8924 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5516(a,1),8923(a,1,1,2,1)),flip(a)]. 8925 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8923(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8926 K(x,R(y \ 1,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [hyper(66,a,7163,a(flip),b,8684,a)]. 8927 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(8786(a,1),7712(a,2,1))]. 8928 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(66,a,8622,a(flip),b,8787,a),flip(a)]. 8930 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8804(a,2),6262(a,1))]. 8931 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2684(a,1),8903(a,2,1,1))]. 8932 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7626(a,1),7633(a,1,2,2)),flip(a)]. 8933 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(285,a,5595,a(flip),b,8932,a),flip(a)]. 8935 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,8933,a),flip(a)]. 8936 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,7107,a(flip),b,7750,a),flip(a)]. 8937 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,6727,a(flip),b,8936,a)]. 8938 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(205(a,1),8936(a,1,1,2)),flip(a)]. 8940 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8938(a,2),6554(a,1))]. 8941 (x * (y * K(z,u))) / (K(u,z) \ y) = x * K(u,K(z,K(u,z) \ y)). [para(7396(a,1),7877(a,1,1,2))]. 8942 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7932(a,1),7923(a,1,1))]. 8943 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / z) = x / z. [hyper(5452,a,8942,a)]. 8944 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8942(a,1),114(a,1,1,1)),flip(a)]. 8945 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8943(a,1),47(a,1)),flip(a)]. 8946 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(285,a,8008,a(flip),b,8032,a),flip(a)]. 8948 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(136,a,8946,a)]. 8949 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(28(a,1),8948(a,1,2))]. 8950 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(66,a,5519,a(flip),b,8949,a),flip(a)]. 8951 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(143,a,8950,a),flip(a)]. 8953 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(8159(a,1),8951(a,1,1)),flip(a)]. 8954 L(x,y,T(x,z)) = L(x,y,x). [hyper(285,a,5670,a(flip),b,8953,a),flip(a)]. 8958 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8954(a,1),30(a,2,1))]. 8961 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(285,a,30,a,b,8958,a),flip(a)]. 8963 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5114(a,1),8245(a,1,2)),flip(a)]. 8964 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(66,a,8722,a(flip),b,8317,a)]. 8965 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8389(a,2),5220(a,2,1))]. 8966 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(285,a,8334,a(flip),b,8415,a),flip(a)]. 8967 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(66,a,8419,a(flip),b,8966,a)]. 8970 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5340(a,1),8597(a,1,1,2))]. 8971 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [hyper(66,a,8149,a(flip),b,8601,a),flip(a)]. 8973 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [hyper(285,a,6626,a,b,8971,a),flip(a)]. 8974 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (y / x)). [hyper(285,a,8130,a,b,8973,a),flip(a)]. 8975 K(x \ y,(y / x) * z) = K(x \ y,z * (y / x)). [para(115(a,1),8974(a,1,2,1))]. 8976 K((x \ y) \ K(x \ y,(y / x) * z),u) = K(y \ x,T(u,z * (y / x))). [para(8975(a,2),8546(a,1,1,2))]. 8977 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4409(a,1),8624(a,1,2))]. 8978 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(285,a,8683,a(flip),b,8685,a),flip(a)]. 8979 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(66,a,8687,a,b,8978,a)]. 8980 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(90(a,1),8979(a,2,2,2,1))]. 8981 K(T(x,T(y,z)) \ K(y,u),w) = T(K(x \ K(y,u),w),T(y,z)). [hyper(66,a,6577,a(flip),b,8721,a),flip(a)]. 8982 T(((1 / x) * (x / y)) * y,K(y,x)) = a(x \ 1,y \ x,y). [hyper(66,a,6305,a(flip),b,8875,a),flip(a)]. 8983 T(a(x \ 1,x / y,y),K(y,x)) = a(x \ 1,y \ x,y). [para(3938(a,1),8982(a,1,1))]. 8984 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6607,a,8879,a)]. 8985 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8984(a,2),6049(a,1,2))]. 8986 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(285,a,34,a(flip),b,8922,a),flip(a)]. 8987 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,K(u,z) \ y)). [para(5334(a,1),8941(a,1,2))]. 8988 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8324(a,1),8970(a,1,1))]. 8989 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(66,a,6105,a(flip),b,8977,a),flip(a)]. 8990 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5150(a,1),8989(a,1,2,1)),flip(a)]. 8991 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),8990(a,1,2,2)),flip(a)]. 8992 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8991(a,1),7399(a,1,1,2)),flip(a)]. 8993 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(285,a,7399,a(flip),b,8992,a),flip(a)]. 8994 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(66,a,7020,a(flip),b,8993,a)]. 8996 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(285,a,7018,a(flip),b,8994,a),flip(a)]. 8997 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5360(a,1),8996(a,1,2)),flip(a)]. 8998 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5234(a,1),8996(a,1,2))]. 8999 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6254(a,1),8996(a,1,2)),flip(a)]. 9000 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8080(a,1),8996(a,1,2)),flip(a)]. 9001 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(66,a,7019,a(flip),b,8997,a)]. 9002 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8998(a,1),6160(a,1,1))]. 9004 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(14(a,1),9001(a,1,1,2)),flip(a)]. 9005 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8035(a,1),8999(a,1,2,2))]. 9006 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9002(a,1),47(a,1)),flip(a)]. 9007 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,y)). [para(8137(a,1),8987(a,2,2,2))]. 9008 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7884(a,2),9007(a,2,2))]. 9010 L(K(x,y) * K(x,K(y,z * (u * x))),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(6322(a,1),7922(a,2,1,2))]. 9011 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8015(a,1),8094(a,1,2,1,2))]. 9012 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(32(a,2),9011(a,2,2))]. 9013 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8015(a,1),8095(a,1,1,1,2))]. 9014 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(30(a,2),9013(a,2,2))]. 9015 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7695(a,1),9014(a,1,1,1,2))]. 9016 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6322(a,1),8355(a,1,2,1))]. 9017 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(66,a,8551,a(flip),b,9016,a),flip(a)]. 9018 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(285,a,8012,a(flip),b,9017,a),flip(a)]. 9020 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(66,a,7014,a(flip),b,9018,a)]. 9021 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(15(a,1),9018(a,1,2))]. 9022 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(8134(a,1),9018(a,1,1))]. 9023 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [hyper(124,a,9020,a,b,5125,a(flip))]. 9024 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(36(a,1),9020(a,2,2))]. 9025 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(9020(a,1),5190(a,2,1)),flip(a)]. 9026 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [hyper(285,a,32,a,b,9025,a),flip(a)]. 9027 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [hyper(122,a,9026,a(flip),b,5153,a)]. 9028 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(66,a,9005,a(flip),b,9022,a)]. 9030 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9018,a(flip),b,9028,a),flip(a)]. 9031 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(66,a,8142,a,b,9030,a)]. 9032 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7392(a,1),9030(a,1,2,1)),flip(a)]. 9034 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(5474,a,8370,a),flip(a)]. 9036 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(66,a,8019,a(flip),b,9034,a)]. 9037 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(6217(a,1),9036(a,1,1,1)),flip(a)]. 9038 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(66,a,9014,a(flip),b,9015,a),flip(a)]. 9039 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5246(a,1),9038(a,1,2,1))]. 9040 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5150(a,1),9039(a,2,2,1))]. 9041 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5399(a,1),9040(a,1,2,1))]. 9042 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4586(a,1),9041(a,1,2,1)),flip(a)]. 9043 K(x,L(y,z,y)) = K(x,y). [para(4245(a,1),9042(a,1,2)),flip(a)]. 9044 L(K(x,y),z,y) = K(x,y). [hyper(6652,a,9043,a)]. 9045 K(T(x / (y * z),y),z) = K((y * z) \ x,z). [hyper(66,a,8338,a(flip),b,9043,a)]. 9046 T(x,L(y,z,y)) = x * K(x,y). [hyper(124,a,9043,a(flip),b,5125,a(flip)),flip(a)]. 9047 K(x,R(y,z,y)) = K(x,y). [para(4586(a,1),9043(a,1,2)),flip(a)]. 9048 K(L(x,y,z),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9044,a)]. 9049 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(66,a,6663,a(flip),b,9044,a),flip(a)]. 9050 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(66,a,6662,a(flip),b,9044,a)]. 9051 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(124,a,9044,a(flip),b,7068,a(flip))]. 9056 R(K(x,y),z,y) = K(x,y). [hyper(7551,a,9047,a)]. 9057 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(285,a,5344,a,b,9047,a),flip(a)]. 9058 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [hyper(124,a,9047,a(flip),b,5805,a),flip(a)]. 9059 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(35(a,1),9048(a,1,1))]. 9060 K((x \ 1) \ y,x) = K(x * y,x). [para(452(a,1),9048(a,1,1)),flip(a)]. 9061 T(x,L(y,z,x)) = 1 / (x \ K(y,x)). [para(9048(a,1),5302(a,2,2,2))]. 9062 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9048(a,1),5805(a,1,2,1,2)),flip(a)]. 9063 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9048(a,1),5807(a,1,1,1,2)),flip(a)]. 9064 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9048(a,1),8027(a,1,1,2)),flip(a)]. 9065 K(R(x,y,z),z) = K(x,z). [hyper(66,a,9004,a(flip),b,9056,a)]. 9066 (K(x,y) * z) * y = K(x,y) * (z * y). [para(9056(a,1),112(a,1,1)),flip(a)]. 9067 K(T(x / (y * z),y),z) = K(y \ (x / z),z). [para(605(a,1),9065(a,1,1))]. 9068 T(x,L(y,z,y)) = x / K(y,x). [hyper(285,a,7396,a,b,9046,a),flip(a)]. 9069 T(x,L(y,z,y)) = T(x,y). [hyper(285,a,5130,a,b,9046,a),flip(a)]. 9071 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(630,a,9069,a),flip(a)]. 9073 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(285,a,4329,a(flip),b,9069,a),flip(a)]. 9075 L(x,y,x) * T(z,x) = z * L(x,y,x). [hyper(124,a,9069,a(flip),b,27,a(flip))]. 9077 T(x,R(y,z,y)) = T(x,y). [para(4586(a,1),9069(a,1,2)),flip(a)]. 9078 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(124,a,9077,a(flip),b,27,a(flip))]. 9079 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4290(a,1),9077(a,1,2))]. 9080 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4618(a,1),9077(a,1,2))]. 9081 K(R(x,y,x),z) = K(x,z). [hyper(39,a,5344,a,b,9057,a(flip))]. 9082 K(x,R(y,z,y)) != u | K(x,y) = u. [para(9057(a,2),5350(a,1))]. 9083 x * K(R(x,y,x),z) = T(x,z). [hyper(124,a,9081,a,b,5125,a(flip))]. 9084 R(K(x,y),z,x) = K(x,y). [hyper(66,a,9001,a(flip),b,9081,a)]. 9085 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(124,a,9081,a(flip),b,5179,a)]. 9086 K((x \ y) \ T(y,x),z) = K(x,z). [para(4252(a,1),9081(a,1,1))]. 9089 K(x,R(y,z,x)) = K(x,y). [hyper(66,a,9031,a(flip),b,9084,a)]. 9090 (K(x,y) * z) * x = K(x,y) * (z * x). [para(9084(a,1),112(a,1,1)),flip(a)]. 9092 T(x,R(y,z,x)) = x * K(x,y). [hyper(124,a,9089,a(flip),b,5125,a(flip)),flip(a)]. 9093 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6105(a,1),9089(a,1,2))]. 9094 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(9089(a,1),6813(a,1,1)),flip(a)]. 9095 K(L(x,y,x),z) = K(x,z). [hyper(5230,a,9068,a)]. 9097 L(K(x,y),z,x) = K(x,y). [hyper(66,a,8727,a(flip),b,9095,a)]. 9099 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9095(a,1),5272(a,1,1))]. 9100 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(8961(a,1),9095(a,1,1))]. 9101 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(285,a,14,a,b,9097,a),flip(a)]. 9102 K(x,L(y,z,x)) = K(x,y). [hyper(66,a,8735,a(flip),b,9097,a)]. 9103 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(66,a,6637,a(flip),b,9097,a)]. 9104 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(66,a,6636,a(flip),b,9097,a),flip(a)]. 9105 a(x,y,K(x,z)) = 1. [hyper(56,a,9097,a)]. 9106 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(124,a,9097,a(flip),b,104,a),flip(a)]. 9107 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(124,a,9097,a(flip),b,7068,a(flip))]. 9110 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(35(a,1),9102(a,1,2))]. 9111 K(x,(x \ 1) \ y) = K(x,x * y). [para(452(a,1),9102(a,1,2)),flip(a)]. 9112 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(695(a,1),9102(a,1,2)),flip(a)]. 9113 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9102(a,1),6653(a,1,1)),flip(a)]. 9114 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(122,a,9083,a(flip),b,6860,a),flip(a)]. 9115 T(x,R(y,z,x)) = T(x,y). [hyper(285,a,5130,a,b,9092,a),flip(a)]. 9116 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(605(a,1),9115(a,1,2))]. 9117 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(702(a,1),9115(a,1,2))]. 9121 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(66,a,6691,a(flip),b,9060,a),flip(a)]. 9122 x \ T(x * y,x) = y * K(x * y,x). [hyper(124,a,9060,a(flip),b,6466,a),flip(a)]. 9123 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(9060(a,1),6661(a,1,1))]. 9124 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(9060(a,1),6902(a,1,2,1,2))]. 9125 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(9060(a,1),6953(a,1,2,1,2))]. 9127 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(66,a,8574,a,b,9079,a)]. 9128 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(66,a,8399,a(flip),b,9079,a),flip(a)]. 9129 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(117(a,1),9079(a,1,2))]. 9130 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(4076(a,1),9079(a,1,2))]. 9131 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(630,a,9129,a),flip(a)]. 9132 T(x,L(y,z,x)) = T(x,y). [hyper(285,a,5302,a,b,9061,a),flip(a)]. 9133 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9132(a,1,2))]. 9134 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(453(a,1),9132(a,1,2)),flip(a)]. 9135 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(822(a,1),9132(a,1,2)),flip(a)]. 9136 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(706(a,1),9093(a,1,2,2))]. 9137 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9100(a,1),5272(a,1,1))]. 9139 L(K(x,y),z,x) != u | K(x,y) = u. [para(9101(a,2),304(a,1)),flip(b)]. 9140 K(L(x,y,x),z) != u | K(x,z) = u. [para(6653(a,1),9139(a,1))]. 9141 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6637(a,1),9139(a,1))]. 9142 K(x,y) != z | K(R(x,u,x),y) = z. [para(4586(a,1),9140(a,1,1))]. 9144 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(15(a,1),9049(a,2,1,2))]. 9145 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(9049(a,1),6662(a,1,1))]. 9146 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1483(a,1),9050(a,1,1,1)),flip(a)]. 9147 T(T(x * K(y \ (x \ z),x),u),w) \ T(T(x,u),w) = K(T(T(x,u),w),(x * y) \ z). [para(9050(a,1),5894(a,1,1,1,1,2))]. 9148 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9050(a,1),8745(a,1,1,1,2))]. 9149 x * (y * K(x * y,x)) = T(x * y,x). [hyper(5180,a,9051,a),flip(a)]. 9150 R(x,y,K(z,x)) = x. [hyper(475,a,9051,a)]. 9151 R(x,y,K(z,T(x,u))) = x. [hyper(144,a,9150,a(flip))]. 9152 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9150(a,1),471(a,1,1,1)),flip(a)]. 9153 (R(x,y,z) * u) * K(w,x) = R(x,y,z) * (u * K(w,x)). [para(9150(a,1),473(a,1,1,1)),flip(a)]. 9157 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9151(a,1),112(a,1,1)),flip(a)]. 9158 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9151(a,1),472(a,1,1,1)),flip(a)]. 9159 L(x,y,K(z,x)) = x. [hyper(445,a,9066,a)]. 9161 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(116(a,1),9066(a,1,1)),flip(a)]. 9162 L(x,y,K(x,z)) = x. [hyper(6947,a,9159,a)]. 9163 L(x,y,K(z,L(x,u,w))) = x. [hyper(147,a,9159,a)]. 9165 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(9159(a,1),35(a,1,1)),flip(a)]. 9166 (K(x,y) * z) * y != u | K(x,y) * (z * y) = u. [para(9159(a,1),265(a,1,2))]. 9167 (K(x,y) * z) * L(y,u,w) = K(x,y) * (z * L(y,u,w)). [para(9159(a,1),410(a,1,2,1))]. 9168 L(K(x,y),z,K(u,y)) = K(x,y). [para(9159(a,1),6646(a,1,2)),flip(a)]. 9169 L(K(x,y),z,K(u,x)) = K(x,y). [para(9159(a,1),6651(a,1,1)),flip(a)]. 9170 L(x,y,K(R(x,z,u),w)) = x. [hyper(149,a,9162,a(flip))]. 9171 L(T(x,y),z,K(x,u)) = T(x,y). [para(9162(a,1),30(a,2,1))]. 9172 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(9162(a,1),410(a,1,2,1))]. 9173 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(9162(a,1),411(a,1,2,1))]. 9176 L(K(x,y),z,K(y,u)) = K(x,y). [para(9162(a,1),6646(a,1,2)),flip(a)]. 9177 L(K(x,y),z,K(x,u)) = K(x,y). [para(9162(a,1),6651(a,1,1)),flip(a)]. 9179 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(9163(a,1),5280(a,1,2)),flip(a)]. 9180 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(9170(a,1),444(a,1,2,2)),flip(a)]. 9181 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(66,a,8726,a(flip),b,9168,a)]. 9182 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [hyper(124,a,9168,a(flip),b,7068,a(flip))]. 9183 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(66,a,8735,a(flip),b,9169,a)]. 9184 (K(x,y) * (x \ z)) \ (K(x,y) * z) = T(x,x \ z). [hyper(66,a,320,a(flip),b,9171,a)]. 9188 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [hyper(124,a,9176,a(flip),b,7068,a(flip))]. 9189 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(9176(a,1),411(a,1,2,1))]. 9192 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(6094(a,1),9176(a,1,3))]. 9193 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(66,a,8735,a(flip),b,9177,a)]. 9194 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [hyper(124,a,9177,a(flip),b,7068,a(flip))]. 9195 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(9177(a,1),30(a,2,1))]. 9196 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(9177(a,1),34(a,1,1)),flip(a)]. 9197 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(66,a,8584,a(flip),b,9181,a)]. 9198 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9181(a,1),5232(a,2,1,1))]. 9199 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(35(a,1),9183(a,1,2))]. 9200 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(9193(a,1),7881(a,1,2)),flip(a)]. 9202 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(9165(a,1),499(a,1,2))]. 9203 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [hyper(124,a,9071,a(flip),b,27,a(flip)),flip(a)]. 9205 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(118(a,1),9075(a,1,2))]. 9207 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(118(a,1),9078(a,1,2))]. 9209 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5960,a,9080,a),flip(a)]. 9210 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(3372,a,9085,a)]. 9211 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(122,a,9085,a(flip),b,5524,a)]. 9212 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(9085(a,1),4452(a,1,1)),flip(a)]. 9213 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(285,a,5518,a(flip),b,9090,a),flip(a)]. 9215 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(8228(a,1),9090(a,1,1)),flip(a)]. 9217 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5452,a,9099,a)]. 9219 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(122,a,9099,a(flip),b,5530,a)]. 9220 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(122,a,9099,a(flip),b,5529,a),flip(a)]. 9221 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9099(a,1),8891(a,1,2)),flip(a)]. 9222 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(66,a,8423,a,b,9103,a)]. 9223 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(66,a,7369,a(flip),b,9103,a),flip(a)]. 9224 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(5435(a,1),9103(a,1,2,1)),flip(a)]. 9225 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(9103(a,1),5946(a,1,1))]. 9226 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9103(a,1),6563(a,2,2))]. 9227 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(66,a,8154,a,b,9104,a)]. 9228 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9104(a,1),6637(a,1,1))]. 9230 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(122,a,5131,a(flip),b,9106,a),flip(a)]. 9231 (x \ y) * K(y,x) = x \ T(y,x). [hyper(7409,a,9230,a)]. 9232 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(128,a,9230,a),flip(a)]. 9233 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(9231(a,1),23(a,2,1)),flip(a)]. 9234 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(27(a,2),9231(a,1,1))]. 9235 R(x,y,K(x,z)) = x. [hyper(475,a,9107,a)]. 9236 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9107(a,1),6311(a,1,1))]. 9237 R(x,y,K(T(x,z),u)) = x. [hyper(144,a,9235,a(flip))]. 9238 R(T(x,y),z,K(x,u)) = T(x,y). [para(9235(a,1),32(a,2,1))]. 9239 R((x * y) / x,z,K(y,u)) = (x * y) / x. [para(9235(a,1),783(a,2,1,2))]. 9240 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9235(a,1),471(a,1,1,1)),flip(a)]. 9241 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9235(a,1),472(a,1,1,1)),flip(a)]. 9242 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9235(a,1),473(a,1,1,1)),flip(a)]. 9243 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(9235(a,1),1192(a,1,1,3,2))]. 9248 R(x,y,T(x,z)) = R(x,y,x). [para(9235(a,1),6901(a,1,1)),flip(a)]. 9250 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9237(a,1),474(a,1,1)),flip(a),flip(b)]. 9253 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(118(a,1),9248(a,1,3)),flip(a)]. 9254 R(x,y,(x \ z) \ z) = R(x,y,x). [para(117(a,1),9248(a,1,3))]. 9255 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(615(a,1),9248(a,1,3))]. 9256 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9248(a,1),988(a,2,2))]. 9261 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(9238(a,1),6901(a,1,1)),flip(a)]. 9262 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(124,a,7819,a(flip),b,9122,a)]. 9263 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(66,a,4495,a,b,9122,a)]. 9264 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(66,a,1362,a,b,9122,a)]. 9265 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(4084(a,1),9122(a,1,2,1)),flip(a)]. 9266 x \ T(x * y,x) = y * K(y * x,x). [para(5785(a,2),9122(a,2,2))]. 9267 K((((x \ (x * y)) \ 1) * (x \ 1)) \ 1,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(9122(a,1),6971(a,1,2))]. 9268 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(9122(a,2),7561(a,1,1,2))]. 9269 T(x,y \ (x \ 1)) / (x * y) = x * ((x / (x * y)) / x). [hyper(123,a,9133,a(flip),b,3815,a)]. 9270 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(15(a,1),9133(a,1,2,1)),flip(a)]. 9271 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ z)) = T(1 / x,(y * ((1 / x) / y)) \ z). [para(7173(a,1),9133(a,1,2,1)),flip(a)]. 9272 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9133(a,1),8419(a,1,2))]. 9273 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(66,a,8561,a,b,9134,a)]. 9274 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(66,a,7634,a,b,9134,a)]. 9275 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,9144,a)]. 9276 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(9192(a,1),35(a,1,1)),flip(a)]. 9278 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5101(a,1),9197(a,1,1,2))]. 9279 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5146(a,1),9197(a,1,1,2))]. 9280 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5360(a,1),9197(a,1,1,2)),flip(a)]. 9281 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5234(a,1),9197(a,1,1,2))]. 9282 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5545(a,1),9197(a,1,1,2))]. 9284 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5709(a,1),9197(a,1,1,2))]. 9285 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5832(a,1),9197(a,1,1,2))]. 9286 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(224,a,9213,a,b,5152,a)]. 9289 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(285,a,7366,a,b,9223,a)]. 9290 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(285,a,7157,a(flip),b,9223,a),flip(a)]. 9291 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(9223(a,2),7174(a,1,2))]. 9292 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(285,a,4225,a(flip),b,9261,a),flip(a)]. 9293 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [hyper(124,a,9261,a(flip),b,4248,a),flip(a)]. 9294 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5150(a,1),9261(a,1,1)),flip(a)]. 9295 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(9261(a,1),9047(a,1,2))]. 9296 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(9261(a,1),9077(a,1,2))]. 9297 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(32(a,1),9295(a,1,2))]. 9298 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(32(a,1),9296(a,1,2))]. 9299 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4259(a,1),9297(a,1,2,1)),flip(a)]. 9300 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(66,a,3981,a(flip),b,9298,a),flip(a)]. 9301 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4259(a,1),9298(a,1,2,1)),flip(a)]. 9302 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(9266(a,1),6343(a,1,1))]. 9303 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2710(a,1),9274(a,1,2,1)),flip(a)]. 9304 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(66,a,8187,a,b,9275,a)]. 9305 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [hyper(6674,a,9278,a)]. 9306 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(285,a,6844,a,b,9279,a)]. 9307 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(9279(a,1),8027(a,1,1,2))]. 9308 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(9279(a,1),8780(a,1,2,1,2,2))]. 9309 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5115(a,1),9280(a,1,1,2)),flip(a)]. 9310 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(5153(a,2),9280(a,1,1,2))]. 9311 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),9280(a,1,1,2,1))]. 9312 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6270,a,9286,a),flip(a)]. 9313 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6257,a,9286,a)]. 9314 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(285,a,2432,a(flip),b,9286,a),flip(a)]. 9315 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(15(a,1),9286(a,1,1)),flip(a)]. 9316 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(28(a,1),9286(a,2,2))]. 9317 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7681(a,2),9286(a,2,2))]. 9319 K(x,R((y \ 1) * x,z,u) \ 1) = R(K(x,x \ y),z,u). [para(9290(a,1),6934(a,1,1)),flip(a)]. 9320 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(87(a,1),9304(a,1,1,1)),flip(a)]. 9321 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T((T(y,u) * K(z,u)) \ 1,K(z,u) \ 1)). [para(9312(a,2),7847(a,2,2,1,1)),flip(a)]. 9322 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(14(a,1),9313(a,1,2,1)),flip(a)]. 9323 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9313(a,1),1417(a,1,1)),flip(a)]. 9324 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9313(a,1),6268(a,1,1)),flip(a)]. 9325 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(66,a,5185,a,b,9315,a)]. 9327 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(122,a,9315,a(flip),b,972,a),flip(a)]. 9328 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(123,a,9322,a,b,xx)]. 9330 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5764(a,1),9322(a,1,1)),flip(a)]. 9331 K(x,T(K(y,z) * u,z) \ 1) = K(x,T(u,z) \ K(z,y)). [para(9322(a,2),6416(a,1,2,1))]. 9332 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(122,a,9324,a,b,5152,a)]. 9335 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5158(a,1),9328(a,1,1,1))]. 9336 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,9064,a),flip(a)]. 9337 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(453(a,1),9336(a,1,2,2)),flip(a)]. 9338 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(285,a,5232,a,b,9198,a),flip(a)]. 9339 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),9338(a,1,2))]. 9340 (((x * y) / x) \ z) * K(y,y \ z) = ((x * y) / x) \ (y * (z / y)). [para(9239(a,1),5622(a,1,1)),flip(a)]. 9341 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(9292(a,1),9297(a,1,2,1))]. 9343 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(285,a,6513,a,b,9058,a)]. 9344 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(285,a,3195,a(flip),b,9058,a),flip(a)]. 9345 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9058(a,2,2))]. 9346 K((x * y) \ z,y) = K(x \ (z / y),y). [hyper(66,a,9045,a(flip),b,9067,a)]. 9347 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(285,a,8200,a(flip),b,9346,a),flip(a)]. 9348 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(124,a,9347,a(flip),b,6349,a),flip(a)]. 9349 K(L(x \ y,x,z / y),x) = K((z / y) \ (x \ z),x). [para(455(a,2),9347(a,1,1))]. 9350 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9347(a,1),5803(a,1,1,1,2))]. 9351 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(9347(a,1),7399(a,1,1,2))]. 9352 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(66,a,8564,a(flip),b,9116,a)]. 9353 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(285,a,7644,a(flip),b,9352,a),flip(a)]. 9354 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9353(a,1,2))]. 9355 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(8452,a,9121,a)]. 9356 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6423,a,9121,a)]. 9357 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8873,a,9128,a)]. 9360 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6447,a,9203,a)]. 9361 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4586(a,1),9205(a,1,1)),flip(a)]. 9362 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(9207(a,2),1622(a,1,1))]. 9363 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(4252(a,1),9207(a,2,2))]. 9364 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9207(a,1),6264(a,2,2))]. 9365 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9236(a,1),6323(a,1,2))]. 9366 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7453(a,2),9253(a,1,1))]. 9367 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(9263(a,2),5392(a,2,1,2))]. 9368 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(9263(a,2),7642(a,1,2,1))]. 9369 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(211(a,1),9285(a,1,1)),flip(a)]. 9370 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9289(a,1),6939(a,2,2))]. 9371 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(66,a,5337,a(flip),b,9299,a),flip(a)]. 9372 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(4189(a,1),9299(a,1,2))]. 9373 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(124,a,9300,a(flip),b,1679,a)]. 9374 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4189(a,1),9301(a,1,2))]. 9375 K((x / y) \ z,T(z,y)) = K((y \ x) \ z,z). [hyper(285,a,6665,a,b,9306,a),flip(a)]. 9376 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(87(a,1),9306(a,1,1,1)),flip(a)]. 9377 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(9310(a,1),5724(a,1,1,1,2)),flip(a)]. 9378 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(5435(a,1),9332(a,1,2,1))]. 9379 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9355(a,1),6185(a,1,1,1))]. 9380 T(x \ 1,y) \ T(x \ K(x \ z,x \ 1),y) = K(z * (x \ 1),T(x \ 1,y)). [para(9355(a,1),5892(a,1,2,1,2))]. 9384 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(66,a,6165,a,b,9371,a)]. 9385 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(28(a,1),9372(a,2,2))]. 9386 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(4294(a,1),9385(a,1,2)),flip(a)]. 9387 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(285,a,6653,a(flip),b,9113,a),flip(a)]. 9388 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(453(a,1),9387(a,1,2)),flip(a)]. 9390 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4370(a,1),9293(a,2,2))]. 9391 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(66,a,7995,a(flip),b,9112,a),flip(a)]. 9392 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9391(a,2),7726(a,1,1))]. 9393 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(285,a,9221,a(flip),b,9114,a),flip(a)]. 9394 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(285,a,8570,a(flip),b,9117,a),flip(a)]. 9395 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,9152,a)]. 9396 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(66,a,8203,a(flip),b,9152,a),flip(a)]. 9397 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9395,a)]. 9398 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(66,a,6662,a(flip),b,9395,a)]. 9400 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(9395(a,1),410(a,1,2,1))]. 9401 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(789(a,1),9397(a,1,1))]. 9402 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(6760,a,9157,a),flip(a)]. 9403 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(445,a,9157,a)]. 9404 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(66,a,6662,a(flip),b,9403,a)]. 9405 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7495,a,9161,a)]. 9406 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(8226(a,1),9405(a,2,1))]. 9407 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [hyper(66,a,8893,a(flip),b,9179,a)]. 9408 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(9182(a,1),7941(a,1,2))]. 9409 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K((x \ y) \ u,x \ y)) \ y. [hyper(285,a,7461,a,b,9184,a),flip(a)]. 9410 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(9188(a,1),981(a,1,1,2))]. 9411 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8015(a,1),9188(a,1,2)),flip(a)]. 9413 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(9194(a,1),8309(a,2,2))]. 9414 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(66,a,6263,a(flip),b,9212,a)]. 9415 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(66,a,4967,a(flip),b,9226,a),flip(a)]. 9416 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(66,a,4946,a(flip),b,9226,a),flip(a)]. 9417 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,9240,a)]. 9418 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(66,a,6637,a(flip),b,9417,a)]. 9419 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(9262(a,1),6586(a,1,1,1))]. 9420 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(9281(a,1),7035(a,1,1))]. 9421 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(38,a,6319,a,b,9291,a)]. 9422 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(9421(a,1),7432(a,1,1)),flip(a)]. 9423 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(9309(a,1),5807(a,1,1,1,2))]. 9424 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(66,a,8048,a(flip),b,9311,a),flip(a)]. 9425 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5146(a,1),9311(a,1,1,2)),flip(a)]. 9427 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5516(a,1),9311(a,1,1,2)),flip(a)]. 9428 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7997(a,1),9311(a,1,1,2))]. 9430 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(66,a,7994,a(flip),b,9424,a),flip(a)]. 9431 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9430(a,1),7399(a,1,1,2)),flip(a)]. 9432 K((x * K(y,z)) / u,z) = K(x / u,z). [para(8080(a,1),9430(a,1,1,1)),flip(a)]. 9433 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9430(a,1),8780(a,1,2,1,2,2)),flip(a)]. 9434 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1270(a,1),9432(a,1,1,1))]. 9435 K((x * L(K(y,z),u,w)) / v5,z) = K(x / v5,z). [para(5981(a,1),9432(a,1,1,1,2))]. 9436 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(9434(a,1),7399(a,1,1,2)),flip(a)]. 9437 K((x * (y * K(z,u))) / w,z) = K((x * y) / w,z). [para(7558(a,1),9435(a,1,1,1)),flip(a)]. 9438 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(285,a,5552,a(flip),b,9316,a),flip(a)]. 9439 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(9438(a,1),7990(a,1,1))]. 9440 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(976(a,1),9337(a,1,2,2)),flip(a)]. 9441 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(66,a,8616,a(flip),b,9339,a)]. 9443 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5101(a,1),9441(a,1,2,2))]. 9444 T(x,y \ T(x,z)) = T(x,y \ x). [para(5143(a,1),9441(a,1,2,2)),flip(a)]. 9445 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5146(a,1),9441(a,1,2,2))]. 9446 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5158(a,1),9441(a,1,2,2)),flip(a)]. 9447 T(K(x \ T(y,z),u),T(y,x \ y)) = T(K(x \ T(y,z),u),y). [para(9444(a,1),8397(a,1,2))]. 9448 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9445(a,1),5178(a,1,2,1))]. 9449 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9445(a,1),8522(a,1,2))]. 9450 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(118(a,1),9446(a,1,2,2,1)),flip(a)]. 9451 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(7411,a,9351,a),flip(a)]. 9452 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(9351(a,1),7411(a,1))]. 9453 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9451(a,1,2))]. 9454 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(105(a,2),9452(a,1,2))]. 9455 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,((x / y) \ (x * z)) / x). [hyper(285,a,7744,a(flip),b,9453,a),flip(a)]. 9456 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(66,a,7361,a(flip),b,9453,a),flip(a)]. 9457 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4083(a,1),9453(a,2,2,2,2))]. 9458 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(4201(a,1),9453(a,2,2,2,2))]. 9459 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9393(a,1),9131(a,1,1,2,1))]. 9460 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(9122(a,2),9396(a,1,2))]. 9461 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(285,a,9282,a(flip),b,9398,a),flip(a)]. 9463 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9461(a,1),7884(a,2,2))]. 9466 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(9404(a,1),5977(a,1,1))]. 9467 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(9416(a,1),7399(a,1,1))]. 9468 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(37,a,6721,a,b,9422,a),flip(a)]. 9469 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(66,a,9144,a(flip),b,9468,a),flip(a)]. 9470 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [hyper(66,a,6484,a(flip),b,9468,a),flip(a)]. 9471 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1081(a,1),9469(a,1,1,2,1)),flip(a)]. 9472 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(9469(a,1),5302(a,2,2,2))]. 9473 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(285,a,6724,a(flip),b,9425,a),flip(a)]. 9474 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6311(a,1),9425(a,1,1,2)),flip(a)]. 9475 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(285,a,7399,a(flip),b,9431,a),flip(a)]. 9476 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5146(a,1),9475(a,1,2,1)),flip(a)]. 9477 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5564(a,1),9475(a,1,2,1))]. 9478 R(K(x,y / (z / u)),K(x,w) * y,u) = K(x,((K(x,w) * y) * u) / z). [para(9475(a,1),6102(a,1,1))]. 9479 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8357(a,1),9475(a,1,2,1))]. 9480 x * K(x,(x * y) / z) = T(x,(y * x) / z). [hyper(124,a,9476,a(flip),b,5125,a(flip))]. 9481 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(1552(a,1),9476(a,2,2))]. 9482 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5180,a,9480,a),flip(a)]. 9484 K((x * (y * z)) / u,z) = K((x * (z * y)) / u,z). [para(96(a,1),9437(a,1,1,1,2)),flip(a)]. 9485 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(7682(a,1),9437(a,1,1,1,2))]. 9486 K((x * (y * K(z,u))) / w,T(z,v5)) = K((x * y) / w,T(z,v5)). [para(7990(a,1),9437(a,1,1,1,2,2))]. 9487 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1642(a,1),9460(a,1,2)),flip(a)]. 9488 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1672(a,1),9460(a,1,2)),flip(a)]. 9489 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(393(a,2),9467(a,1,1,2,2,1))]. 9490 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(9467(a,1),1353(a,1,1,2,1))]. 9491 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(285,a,5302,a,b,9472,a),flip(a)]. 9492 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(14(a,1),9491(a,1,2,2,1)),flip(a)]. 9493 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1081(a,1),9491(a,1,2,2,1)),flip(a)]. 9494 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(66,a,9133,a(flip),b,9492,a)]. 9495 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,9494,a),flip(a)]. 9496 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K((L(y,z,x) * (x * z)) / u,T(y,x * z)). [para(582(a,1),9484(a,1,1,1)),flip(a)]. 9497 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [hyper(66,a,8689,a(flip),b,9485,a)]. 9498 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7685(a,1),9330(a,1,2))]. 9499 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(66,a,5764,a(flip),b,9498,a),flip(a)]. 9500 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(254,a,9499,a)]. 9501 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7540(a,1),9500(a,1,1))]. 9502 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(28(a,1),9384(a,1,2))]. 9503 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(66,a,6225,a(flip),b,9502,a)]. 9504 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(28(a,1),9503(a,1,2))]. 9505 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(4200(a,1),9504(a,2,2))]. 9506 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5785(a,2),9124(a,1,2,1,2))]. 9507 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(37,a,9149,a,b,9125,a)]. 9509 L(K(x,y),z,R(y,u,w)) = K(x,y). [hyper(445,a,9153,a)]. 9510 K(x,L(y,z,R(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9509,a)]. 9511 K(T(x,R(y,z,u) * w),y) = K(T(x,w),y). [hyper(66,a,8806,a(flip),b,9510,a),flip(a)]. 9513 R(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(475,a,9167,a)]. 9514 K((x * L(y,z,u)) / w,y) = K(x / (w / L(y,z,u)),y). [hyper(66,a,7033,a(flip),b,9513,a)]. 9515 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(475,a,9173,a)]. 9516 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5146(a,1),9173(a,1,1)),flip(a)]. 9517 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(9173(a,1),5521(a,1,1,2))]. 9518 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(66,a,9031,a(flip),b,9515,a)]. 9519 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,9004,a(flip),b,9515,a)]. 9520 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(706(a,1),9518(a,1,2))]. 9521 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9519(a,1),5190(a,2,1)),flip(a)]. 9522 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9519(a,1),6512(a,1,1,1)),flip(a)]. 9523 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5334(a,1),9224(a,1,2))]. 9524 K(x,L(x * (y \ z),x \ 1,y) \ 1) = K(x,z \ (y * (x \ 1))). [hyper(66,a,6636,a(flip),b,9225,a),flip(a)]. 9525 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(90(a,1),9225(a,1,1,2,2)),flip(a)]. 9526 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,9241,a)]. 9527 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9241(a,1),7399(a,1,1))]. 9528 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9241(a,1),7411(a,1,1))]. 9529 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(9241(a,1),7941(a,1,2))]. 9530 K(x,T(L(y,z,L(x,u,w)) \ 1,v5)) = K(x,T(y \ 1,v5)). [hyper(66,a,8902,a(flip),b,9526,a)]. 9531 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9526,a)]. 9532 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,8805,a(flip),b,9531,a),flip(a)]. 9534 K(x,(L(x,y,z) * u) / (L(x,y,z) * (u * w))) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,8914,a(flip),b,9532,a)]. 9535 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9532(a,1,2,2)),flip(a)]. 9536 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6756,a,9242,a),flip(a)]. 9537 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(519,a,9242,a),flip(a)]. 9538 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(445,a,9242,a)]. 9539 ((x / y) * R(y,z,y)) * K(y,u) = R(y,z,y) * ((y \ x) * K(y,u)). [para(9207(a,1),9242(a,1,1))]. 9540 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9538,a)]. 9541 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(128,a,9537,a)]. 9543 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(9266(a,1),9264(a,1,1)),flip(a)]. 9544 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) / (y * ((1 / x) / y)) = (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)). [para(7173(a,1),9269(a,1,2))]. 9545 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(66,a,8027,a(flip),b,9307,a),flip(a)]. 9546 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5307(a,1),9314(a,1,1))]. 9547 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(285,a,5799,a(flip),b,9546,a),flip(a)]. 9548 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(66,a,6754,a,b,9547,a)]. 9549 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9325(a,2),1416(a,2,1,2))]. 9550 K(x,T(y,z) \ K(z,u)) = T(K(x,y \ K(z,u)),z). [hyper(66,a,6562,a(flip),b,9331,a),flip(a)]. 9551 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(66,a,5002,a(flip),b,9348,a)]. 9552 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(16(a,1),9551(a,1,1,1,2)),flip(a)]. 9553 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6385(a,2),9388(a,2,2,2)),flip(a)]. 9554 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(8227,a,9406,a)]. 9555 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(7953,a,9554,a)]. 9556 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(7940(a,1),9555(a,2,1))]. 9558 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(9436(a,2),7411(a,1))]. 9559 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(285,a,7884,a(flip),b,9463,a),flip(a)]. 9560 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(37,a,9149,a,b,9506,a)]. 9562 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9506(a,1),8141(a,2,1))]. 9563 K((K(x,(y / L(z,u,w)) \ 1) * L(z,u,w)) / y,z) = K((x * (1 / (y / L(z,u,w)))) / x,z). [para(5696(a,1),9514(a,2,1))]. 9564 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1614(a,2),9516(a,1,2))]. 9565 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(285,a,32,a,b,9521,a),flip(a)]. 9566 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(27(a,2),9523(a,1,2,2)),flip(a)]. 9567 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7563,a,9527,a)]. 9568 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9567,a)]. 9569 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9567,a)]. 9570 K((L(x,y,z) \ u) \ w,x) = K(u \ (L(x,y,z) * w),x). [hyper(66,a,6663,a(flip),b,9567,a),flip(a)]. 9571 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(124,a,9567,a(flip),b,104,a),flip(a)]. 9572 K((L(x,y,z) \ 1) \ u,x) = K(L(x,y,z) * u,x). [para(452(a,1),9569(a,1,1)),flip(a)]. 9573 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4206(a,1),9569(a,1,1))]. 9575 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(9552(a,1),8605(a,1,2,1))]. 9576 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(9552(a,1),8700(a,1,2,2))]. 9577 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(14(a,1),9576(a,1,2,2,1,1))]. 9578 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(122,a,9565,a(flip),b,5529,a),flip(a)]. 9579 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9565(a,1),9094(a,1,1,2)),flip(a)]. 9580 K((L(x,y,z) \ x) \ u,x) = K(L(x,y,z) * (x \ u),x). [para(1240(a,1),9570(a,2,1))]. 9581 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(285,a,9445,a(flip),b,9135,a),flip(a)]. 9582 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(285,a,6596,a(flip),b,9135,a),flip(a)]. 9584 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(9582(a,2),6542(a,1))]. 9586 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9250,a,6644,a)]. 9587 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(66,a,8088,a(flip),b,9586,a),flip(a)]. 9588 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(66,a,8014,a(flip),b,9587,a)]. 9589 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(66,a,9476,a,b,9588,a)]. 9590 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(15(a,1),9588(a,1,2,1)),flip(a)]. 9591 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(66,a,9479,a,b,9589,a)]. 9592 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(66,a,8131,a,b,9590,a)]. 9593 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(16(a,1),9592(a,1,2,2))]. 9594 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(66,a,8075,a,b,9593,a)]. 9595 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [hyper(124,a,9593,a(flip),b,5125,a(flip))]. 9596 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(9593(a,1),7399(a,1,1,2))]. 9597 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [hyper(8426,a,9594,a)]. 9598 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5180,a,9595,a),flip(a)]. 9599 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(285,a,8675,a(flip),b,9598,a),flip(a)]. 9600 T(x,(x * y) / (x * z)) = T(x,y / z). [para(14(a,1),9599(a,1,2,1)),flip(a)]. 9601 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(15(a,1),9600(a,1,2,2))]. 9602 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(66,a,9482,a,b,9601,a)]. 9603 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7411,a,9596,a),flip(a)]. 9605 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9268(a,1),5562(a,1,1,2))]. 9606 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(8136(a,1),9268(a,2,1))]. 9607 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(285,a,4999,a(flip),b,9303,a),flip(a)]. 9608 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9369(a,1),7860(a,1,1)),flip(a)]. 9610 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [hyper(285,a,7024,a(flip),b,9497,a),flip(a)]. 9611 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(9610(a,1),7531(a,1,1,2)),flip(a)]. 9612 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [hyper(285,a,7531,a(flip),b,9611,a),flip(a)]. 9613 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(5294(a,1),9612(a,1,3)),flip(a)]. 9614 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(8080(a,1),9612(a,1,3)),flip(a)]. 9615 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4932(a,2),9613(a,1,3))]. 9616 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(9614(a,1),1191(a,1,1,1)),flip(a)]. 9617 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(9584,a,9581,a),flip(a)]. 9619 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(15(a,1),9617(a,1,2,2))]. 9620 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(15(a,1),9619(a,1,2,1,2))]. 9621 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(285,a,6592,a(flip),b,9620,a),flip(a)]. 9622 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(14(a,1),9621(a,1,2,1,1))]. 9623 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(66,a,9445,a,b,9622,a)]. 9624 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(15(a,1),9623(a,1,2,1)),flip(a)]. 9625 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(9624(a,1),5918(a,1,2,1,1))]. 9626 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(15(a,1),9607(a,1,2,2)),flip(a)]. 9627 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(285,a,5805,a(flip),b,9062,a),flip(a)]. 9628 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(452(a,1),9627(a,1,1)),flip(a)]. 9629 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(66,a,6691,a(flip),b,9628,a),flip(a)]. 9631 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(9063(a,2),7487(a,1))]. 9632 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(66,a,8354,a(flip),b,9136,a)]. 9633 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(66,a,7934,a(flip),b,9632,a),flip(a)]. 9634 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(66,a,8938,a,b,9284,a)]. 9635 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(285,a,417,a(flip),b,9323,a),flip(a)]. 9636 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(9327(a,1),7436(a,1,1)),flip(a)]. 9637 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(285,a,7437,a(flip),b,9636,a),flip(a)]. 9638 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(285,a,7153,a(flip),b,9637,a),flip(a)]. 9639 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(285,a,6392,a(flip),b,9356,a),flip(a)]. 9640 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(285,a,7802,a,b,9639,a),flip(a)]. 9641 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(14(a,1),9640(a,2,2))]. 9642 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(66,a,8758,a(flip),b,9357,a)]. 9644 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9642(a,1),8428(a,1))]. 9645 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(37,a,9416,a,b,9370,a(flip))]. 9647 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(15(a,1),9645(a,1,2,1)),flip(a)]. 9648 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9645(a,1),7399(a,1,1,2)),flip(a)]. 9649 K(x,(x * (y \ z)) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,9103,a,b,9647,a)]. 9650 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(90(a,1),9647(a,1,2,2)),flip(a)]. 9651 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(9647(a,1),5977(a,1,1)),flip(a)]. 9652 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(7304(a,1),9647(a,1,2,1)),flip(a)]. 9653 K(x,L(x * (y \ z),x \ 1,u) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,7584,a,b,9649,a)]. 9654 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(285,a,7399,a(flip),b,9648,a),flip(a)]. 9655 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(15(a,1),9654(a,1,1,1)),flip(a)]. 9656 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),9654(a,1,1,1))]. 9657 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,9050,a,b,9655,a)]. 9658 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9655(a,1),5302(a,2,2,2)),flip(a)]. 9659 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,6986,a,b,9657,a)]. 9661 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(9650(a,2),5766(a,1))]. 9662 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5304,a,9658,a),flip(a)]. 9663 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,9133,a,b,9662,a)]. 9664 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,7586,a,b,9663,a)]. 9665 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(66,a,8015,a(flip),b,9401,a)]. 9666 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(66,a,8832,a(flip),b,9665,a),flip(a)]. 9667 K((x * (y * T(z,u))) / w,T(z,v5)) = K((x * (y * z)) / w,T(z,v5)). [para(6322(a,1),9486(a,1,1,1,2))]. 9668 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(285,a,8136,a(flip),b,9566,a),flip(a)]. 9669 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(66,a,8866,a(flip),b,9668,a)]. 9671 K(x,K(y \ x,y) * z) = K(x,z). [hyper(66,a,5336,a(flip),b,9669,a),flip(a)]. 9673 K(x * y,K(y,x) * z) = K(x * y,z). [para(14(a,1),9671(a,1,2,1,1))]. 9674 K(x,K(y,y \ x) * z) = K(x,z). [para(5360(a,1),9671(a,1,2)),flip(a)]. 9675 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5737(a,1),9671(a,1,2))]. 9676 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5749(a,1),9671(a,1,2)),flip(a)]. 9677 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(9671(a,1),7460(a,1,1,2))]. 9678 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9674(a,1),5146(a,1,1))]. 9679 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9673(a,1),5150(a,1,1,2))]. 9680 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(87(a,1),9675(a,1,2,1)),flip(a)]. 9681 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9679(a,1),6315(a,1,2)),flip(a)]. 9682 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(604(a,1),9629(a,1,2)),flip(a)]. 9683 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5775,a,9678,a)]. 9684 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4141,a,9683,a)]. 9685 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(9684(a,1),218(a,1,2,2)),flip(a)]. 9686 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(9233(a,1),8206(a,1,2)),flip(a)]. 9688 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9365(a,1),647(a,1))]. 9689 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(66,a,4413,a(flip),b,9420,a),flip(a)]. 9690 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(8049,a,9689,a)]. 9692 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(9690(a,1),5649(a,1,1,2))]. 9693 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9690(a,1),7399(a,1,1,2))]. 9694 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(7411,a,9693,a)]. 9695 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5785(a,2),9507(a,2,1,2))]. 9696 K(x,y \ (z * (x \ 1))) = K(x,y \ (x \ z)). [hyper(66,a,9653,a(flip),b,9524,a),flip(a)]. 9698 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9560(a,1),441(a,1,2,2))]. 9699 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,9158,a)]. 9700 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(9189(a,1),2181(a,2,2))]. 9701 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6528(a,1),9209(a,1,1))]. 9702 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5150(a,1),9294(a,1,1)),flip(a)]. 9703 R(x,y,x * K(z,x)) = R(x,y,x). [para(5150(a,1),9702(a,1,3)),flip(a)]. 9704 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5193(a,1),9703(a,1,3))]. 9705 (x * (((y * x) / y) \ z)) / x = ((y * x) / y) \ (x * (z / x)). [hyper(66,a,8256,a(flip),b,9340,a)]. 9706 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5545(a,1),9364(a,1,2)),flip(a)]. 9707 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8015(a,1),9411(a,1,2,2)),flip(a)]. 9708 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(123,a,9501,a(flip),b,9419,a(flip))]. 9709 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(66,a,7541,a,b,9708,a)]. 9711 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9107(a,2),9474(a,1,1,2))]. 9712 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(285,a,4161,a(flip),b,9487,a),flip(a)]. 9713 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(285,a,4160,a(flip),b,9488,a),flip(a)]. 9714 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(14(a,1),9713(a,1,1,2,1)),flip(a)]. 9715 K(1 / x,L((1 / x) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(285,a,5978,a(flip),b,9525,a),flip(a)]. 9716 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(9302(a,1),9562(a,1,1))]. 9717 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(14(a,1),9641(a,1,2))]. 9718 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(66,a,8892,a(flip),b,9717,a)]. 9720 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(285,a,9647,a(flip),b,9652,a),flip(a)]. 9721 K((x * (T(y,z) * u)) / w,T(y,z)) = K((x * (u * y)) / w,T(y,z)). [hyper(66,a,9484,a(flip),b,9667,a)]. 9722 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(66,a,9428,a(flip),b,9711,a),flip(a)]. 9724 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(66,a,8857,a(flip),b,9722,a),flip(a)]. 9727 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,7264,a(flip),b,9715,a)]. 9728 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(5766,a,9727,a)]. 9729 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4586(a,1),9361(a,1,2))]. 9730 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(135,a,9729,a)]. 9731 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(9729(a,1),4182(a,1,2)),flip(a)]. 9732 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1152(a,1),9730(a,1,1,2))]. 9733 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(285,a,9373,a,b,9732,a),flip(a)]. 9734 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4011,a,9733,a)]. 9735 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(66,a,9731,a,b,9734,a)]. 9737 T(x,y * R(x,z,x)) = T(x,x * y). [para(16(a,1),9735(a,1,2,2)),flip(a)]. 9738 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(285,a,5130,a(flip),b,9737,a),flip(a)]. 9739 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5207,a,9738,a)]. 9740 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(66,a,8222,a,b,9739,a)]. 9741 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(9142,a,9740,a)]. 9743 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9448(a,1),5473(a,1))]. 9744 R(K(x,y / (z / u)),y,u) = K(x,((K(x,w) * y) * u) / z). [hyper(66,a,8996,a(flip),b,9478,a)]. 9746 K(x,((K(x,y) * z) * u) / w) = K(x,(z * u) / w). [hyper(66,a,6102,a(flip),b,9744,a),flip(a)]. 9747 K(x,(((y / x) \ z) * u) / w) = K(x,(((x \ y) \ z) * u) / w). [para(5854(a,1),9746(a,1,2,1,1)),flip(a)]. 9748 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [hyper(7842,a,9747,a),flip(a)]. 9749 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(285,a,7882,a(flip),b,9608,a),flip(a)]. 9750 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(66,a,7884,a,b,9749,a)]. 9751 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7713(a,1,2,1))]. 9752 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(6627(a,1),7843(a,2,2))]. 9753 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [hyper(285,a,7682,a(flip),b,9752,a),flip(a)]. 9754 K(x,T(y * x,x \ 1) \ (x * z)) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [hyper(66,a,9104,a(flip),b,8164,a)]. 9755 (((x * y) / x) \ (y * (z / y))) \ 1 = (((x * y) / x) \ z) \ K(y \ z,y). [para(9705(a,1),8260(a,2,1)),flip(a)]. 9757 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(285,a,5816,a(flip),b,8371,a),flip(a)]. 9758 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(285,a,6840,a(flip),b,9757,a),flip(a)]. 9759 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(66,a,6468,a(flip),b,9758,a)]. 9760 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(285,a,6392,a(flip),b,9759,a),flip(a)]. 9761 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(27(a,2),9760(a,2,2))]. 9762 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(x \ 1,y),z)) * x. [para(3339(a,1),8418(a,2,1,2,1))]. 9763 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(6126(a,1),8446(a,1,2))]. 9764 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(7539,a,8638,a),flip(a)]. 9767 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(8755(a,1),8105(a,1,2))]. 9768 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(285,a,8780,a(flip),b,8783,a),flip(a)]. 9769 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(90(a,1),9768(a,1,2,1,1)),flip(a)]. 9770 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(118(a,1),9768(a,1,2)),flip(a)]. 9771 K(x,T((y * K(z,u)) \ 1,w)) = K(x,T(K(u,z) / y,w)). [para(7399(a,1),9768(a,1,2,1,1)),flip(a)]. 9772 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(66,a,8906,a(flip),b,9770,a),flip(a)]. 9773 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(9770(a,1),7682(a,1,2))]. 9774 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(66,a,9770,a(flip),b,9769,a)]. 9775 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(285,a,5699,a,b,9773,a)]. 9776 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(90(a,1),9773(a,1,2,2,2)),flip(a)]. 9777 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(38,a,8120,a,b,9776,a),flip(a)]. 9780 K(x,T(T(y * K(z,u),w) \ 1,v5)) = T(K(x,T(K(u,z) / y,v5)),w). [para(9771(a,1),8712(a,2,1))]. 9781 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6564,a,9775,a)]. 9782 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(9781(a,1),8052(a,1,1,2))]. 9783 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8054,a,9782,a),flip(a)]. 9784 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4105(a,1),8835(a,1,1))]. 9785 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(285,a,8701,a(flip),b,9784,a),flip(a)]. 9786 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u * (x / y))). [hyper(8547,a,8976,a)]. 9787 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(285,a,9261,a(flip),b,9255,a),flip(a)]. 9789 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9345(a,1,1,2))]. 9790 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9789(a,2),7531(a,1,1))]. 9791 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(285,a,5724,a(flip),b,9377,a),flip(a)]. 9792 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(994(a,1),9791(a,1,2,2)),flip(a)]. 9793 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(8051(a,1),9791(a,1,2,2))]. 9794 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(7395(a,1),9793(a,1,2,2)),flip(a)]. 9795 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(285,a,8831,a(flip),b,9794,a),flip(a)]. 9796 K(T(x,y),z \ (T(x,y) \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9696,a(flip),b,9795,a)]. 9797 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9792,a(flip),b,9796,a)]. 9799 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,9797,a),flip(a)]. 9800 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(66,a,7206,a(flip),b,9799,a),flip(a)]. 9801 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(355(a,1),9800(a,1,2,2))]. 9802 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(14(a,1),9712(a,1,1,2,1))]. 9803 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(14(a,1),9714(a,1,1,2,1)),flip(a)]. 9804 (((x * y) / x) \ z) \ K(y \ z,y) = (T(y,x) * (y \ (z / y))) \ 1. [para(4292(a,1),9755(a,1,1)),flip(a)]. 9805 (((x * y) / x) \ z) \ K(y \ z,y) = (K(y,x) * (z / y)) \ 1. [para(5153(a,1),9804(a,2,1))]. 9806 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ K(T(x,z) \ 1,y)) * x. [para(6080(a,2),9762(a,2,1,2))]. 9807 (1 / x) \ T(T(x \ 1,y),K(y,z)) = (x \ K(T(x,z) \ 1,y)) * x. [para(421(a,1),9806(a,1,2))]. 9809 (x \ K(T(x,y) \ 1,z)) * x != u | T(T(x \ 1,z),K(z,y)) * x = u. [para(9807(a,1),6790(a,1))]. 9810 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4154(a,1),7668(a,2,1,2))]. 9811 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,9810,a),flip(a)]. 9812 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(66,a,7741,a(flip),b,7739,a)]. 9813 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,9699,a(flip),b,9812,a),flip(a)]. 9815 K((L(x,y,z) * u) / w,T(x,u)) = K(w \ (L(x,y,z) * u),x). [hyper(66,a,7694,a(flip),b,9813,a),flip(a)]. 9816 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(66,a,5319,a(flip),b,9813,a),flip(a)]. 9817 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9813(a,1,2,2)),flip(a)]. 9818 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9813(a,1),7707(a,1,2,2)),flip(a)]. 9819 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(186(a,1),9817(a,2,2))]. 9820 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7823,a,9816,a)]. 9821 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9820(a,1),8849(a,1,2))]. 9822 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,8271,a),flip(a)]. 9823 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(66,a,7832,a(flip),b,8272,a)]. 9825 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9823,a),flip(a)]. 9826 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8283(a,1),9825(a,1,2))]. 9827 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(285,a,5805,a(flip),b,8296,a),flip(a)]. 9828 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5360(a,1),9827(a,1,1)),flip(a)]. 9829 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5360(a,1),9828(a,1,1)),flip(a)]. 9830 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5973(a,1),9828(a,1,1,1))]. 9831 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [hyper(124,a,9829,a(flip),b,5125,a(flip))]. 9832 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6375,a,9831,a),flip(a)]. 9833 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(9832(a,2),7436(a,1,1))]. 9834 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(15(a,1),9833(a,1,1,1)),flip(a)]. 9835 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(285,a,5119,a,b,9834,a),flip(a)]. 9836 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8006(a,1),9835(a,1,2))]. 9837 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7392(a,1),9836(a,1,2)),flip(a)]. 9838 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9837(a,1),8648(a,1,1,2))]. 9839 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7943(a,1),8388(a,1,1,3))]. 9840 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5334(a,1),9839(a,2,2))]. 9841 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5599(a,1),8519(a,1,2)),flip(a)]. 9842 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(285,a,8028,a(flip),b,9841,a),flip(a)]. 9843 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(32(a,2),9842(a,2,1))]. 9844 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(9082,a,9843,a)]. 9846 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(66,a,8550,a(flip),b,9844,a),flip(a)]. 9847 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(66,a,8746,a(flip),b,9846,a)]. 9848 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(66,a,5329,a,b,9847,a)]. 9850 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,9031,a(flip),b,8697,a),flip(a)]. 9852 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,8696,a(flip),b,9850,a)]. 9854 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),9852(a,1,2,2)),flip(a)]. 9855 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(9852(a,1),7399(a,1,1,2)),flip(a)]. 9856 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(545(a,1),9854(a,1,2)),flip(a)]. 9857 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(285,a,7399,a(flip),b,9855,a),flip(a)]. 9858 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5143(a,1),9857(a,1,1,2)),flip(a)]. 9859 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(9858(a,1),5722(a,1,2,1,2)),flip(a)]. 9860 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(285,a,5722,a(flip),b,9859,a),flip(a)]. 9862 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8010,a(flip),b,8834,a),flip(a)]. 9864 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(6570(a,1),8871(a,1,1,2))]. 9865 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(5125(a,2),9864(a,1,1)),flip(a)]. 9866 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(6691(a,1),9865(a,1,1))]. 9867 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) = K(L(y,z,u) * (x \ 1),y). [hyper(285,a,3246,a(flip),b,9866,a),flip(a)]. 9868 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(285,a,6081,a(flip),b,8916,a),flip(a)]. 9869 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(66,a,9195,a(flip),b,9868,a),flip(a)]. 9871 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6322(a,1),9869(a,1,2))]. 9872 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7392(a,1),9869(a,1,2)),flip(a)]. 9873 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7702(a,1),9869(a,1,2)),flip(a)]. 9874 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(271(a,1),9872(a,1,2))]. 9875 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5981(a,1),9872(a,1,2,2))]. 9876 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(66,a,8392,a(flip),b,9874,a)]. 9877 T(K(x,y \ (x \ z)),z) = T(K(x,y \ (x \ z)),y). [hyper(66,a,8065,a(flip),b,9876,a),flip(a)]. 9878 T(K(x,y),x) != z | K(x,y) = z. [para(9876(a,1),192(a,1))]. 9879 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9876(a,1),8360(a,1,1))]. 9881 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2746(a,1),9878(a,1))]. 9884 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(5836(a,2),9881(a,1))]. 9885 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(7674(a,2),9881(a,1,1))]. 9887 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(285,a,8393,a(flip),b,9871,a),flip(a)]. 9888 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(9887(a,1),7324(a,1,2)),flip(a)]. 9889 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(285,a,5344,a(flip),b,9888,a),flip(a)]. 9890 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [hyper(124,a,9889,a(flip),b,27,a(flip))]. 9891 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(103(a,1),9875(a,1,2))]. 9893 T(K(x,L(x \ y,x,z)),z) = T(K(x,z \ (x \ (z * y))),z * y). [para(9453(a,2),9877(a,2,1)),flip(a)]. 9894 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(9891(a,1),8495(a,1,1)),flip(a)]. 9895 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7681(a,2),9894(a,2,1))]. 9897 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7756(a,1),9895(a,1,2,2)),flip(a)]. 9898 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(9122(a,2),9895(a,1,2,2)),flip(a)]. 9899 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(7493,a,9890,a),flip(a)]. 9900 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5518(a,2),9899(a,1,2))]. 9901 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(66,a,8868,a(flip),b,9900,a)]. 9902 T(K(x,y \ (x \ (y * z))),y * z) = K(x,L(T(x \ z,y),x,y)). [hyper(66,a,7705,a,b,9893,a),flip(a)]. 9903 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(8930,a,9897,a)]. 9904 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(285,a,6259,a,b,9903,a),flip(a)]. 9905 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(66,a,6219,a(flip),b,9904,a),flip(a)]. 9906 K(x,T(y \ (x \ (y * z)),y * z)) = K(x,L(T(x \ z,y),x,y)). [hyper(8428,a,9902,a)]. 9907 K(x,L(T(x \ y,z),x,z)) = K(x,(z * y) / (z * x)). [hyper(66,a,9597,a(flip),b,9906,a),flip(a)]. 9908 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(285,a,5320,a(flip),b,8927,a),flip(a)]. 9909 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(6133(a,1),9908(a,1,1))]. 9910 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(7761(a,1),9909(a,1,1,1,1))]. 9911 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(13(a,1),9910(a,1,1))]. 9912 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(66,a,32,a,b,9911,a)]. 9913 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(66,a,8053,a(flip),b,9912,a),flip(a)]. 9914 R(K(x,T(T(y,z),z * u)),z,u) = K(x,((z / y) * u) \ (z * u)). [para(7681(a,2),9912(a,1,1))]. 9915 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(66,a,8786,a(flip),b,9914,a)]. 9916 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(285,a,9913,a(flip),b,9915,a),flip(a)]. 9917 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8216(a,1),8935(a,1,1,2))]. 9918 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9917,a),flip(a)]. 9920 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(9918(a,1),6960(a,2,2,2,1,1))]. 9921 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(285,a,153,a(flip),b,8944,a),flip(a)]. 9922 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(285,a,5169,a,b,9921,a),flip(a)]. 9924 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(285,a,7881,a,b,9922,a),flip(a)]. 9925 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(66,a,5803,a(flip),b,9350,a),flip(a)]. 9926 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(285,a,4131,a(flip),b,9390,a),flip(a)]. 9927 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(116(a,1),9606(a,1,1,2,2,1))]. 9928 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(285,a,8725,a(flip),b,9927,a),flip(a)]. 9929 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(285,a,7995,a(flip),b,7737,a),flip(a)]. 9930 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(285,a,5704,a(flip),b,9929,a),flip(a)]. 9932 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(285,a,4596,a(flip),b,9930,a),flip(a)]. 9933 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4318(a,1),9932(a,1,2))]. 9934 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(124,a,14,a(flip),b,7850,a)]. 9935 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9934(a,1),6879(a,1,2))]. 9936 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),8033(a,1,2,2,1))]. 9938 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [hyper(66,a,8015,a(flip),b,8096,a)]. 9939 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(125,a,8471,a),flip(a)]. 9940 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4830(a,1),9939(a,1,1)),flip(a)]. 9941 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,6194,a,b,9940,a)]. 9942 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(32(a,2),8545(a,1,2,2,2,1))]. 9943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(285,a,5804,a(flip),b,8586,a),flip(a)]. 9944 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(285,a,8602,a(flip),b,8603,a),flip(a)]. 9946 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(87(a,1),9944(a,1,1,2,1,2,1))]. 9948 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8713,a(flip),b,9946,a)]. 9949 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8251,a(flip),b,9948,a)]. 9950 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(285,a,8523,a(flip),b,8762,a),flip(a)]. 9951 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(597(a,1),9950(a,1,2,1,1)),flip(a)]. 9952 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5076(a,1),9951(a,1,2,1)),flip(a)]. 9953 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7681(a,2),9952(a,2,2))]. 9955 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(285,a,8780,a(flip),b,8785,a),flip(a)]. 9956 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(5130(a,2),9955(a,1,2,1,2))]. 9957 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(7687(a,1),9955(a,1,2,1,2,2))]. 9958 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(8650(a,1),9956(a,1,2,1))]. 9959 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(66,a,9957,a(flip),b,9958,a),flip(a)]. 9961 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(5073(a,2),9959(a,1,2,1,1))]. 9962 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [hyper(285,a,8752,a(flip),b,9961,a),flip(a)]. 9963 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(66,a,8906,a(flip),b,8909,a),flip(a)]. 9964 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8199(a,1),9148(a,1,1,1,2)),flip(a)]. 9965 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1770(a,1),9964(a,2,1))]. 9966 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(285,a,8027,a(flip),b,9965,a),flip(a)]. 9967 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(7940(a,1),9215(a,2,1))]. 9968 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(8781,a,9308,a),flip(a)]. 9969 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(280(a,2),9968(a,1,2,1,2)),flip(a)]. 9970 K(x * (y \ 1),T(y \ 1,z)) = K(y \ x,T(y \ 1,z)). [hyper(6059,a,9380,a),flip(a)]. 9971 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6121,a,9970,a)]. 9972 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(285,a,8906,a(flip),b,9971,a),flip(a)]. 9973 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(66,a,8906,a(flip),b,9972,a)]. 9974 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(66,a,9963,a(flip),b,9973,a)]. 9975 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(285,a,8038,a(flip),b,9974,a),flip(a)]. 9976 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(66,a,8038,a(flip),b,9975,a)]. 9977 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(66,a,8552,a,b,9976,a)]. 9978 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(285,a,8780,a(flip),b,9433,a),flip(a)]. 9979 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8080(a,1),9978(a,1,2,1,1)),flip(a)]. 9980 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(4202(a,1),9505(a,1,2))]. 9981 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(285,a,8264,a(flip),b,9980,a),flip(a)]. 9984 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(285,a,5785,a,b,9981,a),flip(a)]. 9985 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(223(a,1),9579(a,2,1))]. 9986 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(66,a,9564,a(flip),b,9985,a),flip(a)]. 9987 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7908(a,1),9677(a,1,1,1))]. 9988 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7682(a,1),9818(a,2,2))]. 9989 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9567(a,1),9988(a,1,1)),flip(a)]. 9990 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(285,a,152,a(flip),b,9989,a),flip(a)]. 9991 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5361(a,1),9989(a,1,2)),flip(a)]. 9993 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9990(a,1),1320(a,1,1,2,1))]. 9994 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(66,a,9529,a(flip),b,9991,a)]. 9995 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7953,a,9994,a)]. 9996 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(285,a,7914,a,b,9995,a)]. 9997 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(37,a,7862,a,b,9996,a)]. 9998 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(285,a,7881,a,b,9997,a),flip(a)]. 9999 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(14(a,1),9942(a,1,2))]. 10001 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(17(a,1),9967(a,1,2)),flip(a)]. 10002 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(66,a,9556,a,b,10001,a)]. 10004 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(6537(a,1),10002(a,1,1))]. 10005 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7936(a,1),9987(a,1,1,1))]. 10006 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(7900(a,1),10005(a,1,1))]. 10007 K(T(x,y),z) * (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [hyper(5464,a,10006,a)]. 10008 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [para(7761(a,1),10007(a,1,1))]. 10009 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(5666,a,10008,a)]. 10010 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(66,a,8964,a(flip),b,10009,a),flip(a)]. 10011 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5322(a,1),10010(a,2,1))]. 10012 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5322(a,1),10011(a,1,1,1))]. 10013 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6270,a,10012,a),flip(a)]. 10014 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(10013(a,2),215(a,1,2,2))]. 10015 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7761(a,1),8055(a,2,1,2))]. 10016 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(17(a,1),8623(a,1,2))]. 10017 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(66,a,9000,a(flip),b,10016,a)]. 10018 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(32(a,2),8723(a,1,1,2))]. 10019 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5817(a,1),8769(a,1,1)),flip(a)]. 10020 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(14(a,1),10019(a,2,1,1,2,1))]. 10021 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(8768(a,1),10020(a,1,1)),flip(a)]. 10022 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(285,a,9720,a(flip),b,9458,a),flip(a)]. 10023 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5905,a,9686,a),flip(a)]. 10024 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10023(a,1),4174(a,1,2))]. 10026 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10024(a,1),7479(a,1))]. 10027 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8880(a,1),10015(a,2,1))]. 10028 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(285,a,9840,a(flip),b,10027,a),flip(a)]. 10029 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7761(a,1),10028(a,1,1,2))]. 10030 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7997(a,1),10029(a,1,2))]. 10031 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8815(a,2),10030(a,1,1))]. 10032 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(9979(a,1),10017(a,1,1))]. 10033 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(66,a,10016,a(flip),b,10032,a),flip(a)]. 10035 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7940(a,1),10018(a,1,2))]. 10036 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3207(a,1),10035(a,1,2))]. 10038 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10036(a,1),5720(a,1,1,2))]. 10039 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5595(a,1),10038(a,1,1))]. 10040 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(66,a,6925,a(flip),b,10039,a),flip(a)]. 10041 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(8782(a,1),8341(a,1,1))]. 10042 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(66,a,8339,a(flip),b,10041,a),flip(a)]. 10043 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8028(a,1),10042(a,1,1))]. 10044 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5149(a,2),10043(a,1,2,1))]. 10045 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7718(a,2),10044(a,2,1,2)),flip(a)]. 10046 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(285,a,5794,a(flip),b,10045,a),flip(a)]. 10047 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(8407(a,1),10046(a,2,2))]. 10048 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7700(a,1),10047(a,1,1,2,2))]. 10049 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(8771(a,1),10048(a,1,1))]. 10050 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6333,a,10049,a),flip(a)]. 10051 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(66,a,7835,a,b,10050,a)]. 10052 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(224,a,6311,a,b,10051,a)]. 10053 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(7994(a,1),10052(a,1,1,2)),flip(a)]. 10054 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(8013(a,1),10052(a,1,1,2)),flip(a)]. 10055 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(66,a,8409,a(flip),b,10053,a),flip(a)]. 10056 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(66,a,9127,a(flip),b,10054,a),flip(a)]. 10057 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(66,a,10053,a,b,10056,a)]. 10058 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(10057(a,1),8772(a,1,2)),flip(a)]. 10059 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(285,a,8770,a(flip),b,10058,a),flip(a)]. 10060 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3978(a,1),10059(a,1,2))]. 10061 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(66,a,9130,a,b,10060,a)]. 10062 T(K(x \ T(y,z),u),T(y,x)) = T(K(x \ T(y,z),u),y). [hyper(66,a,9447,a(flip),b,10060,a),flip(a)]. 10063 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(285,a,8406,a,b,10061,a)]. 10064 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(285,a,5130,a(flip),b,10061,a),flip(a)]. 10065 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(66,a,8562,a(flip),b,10061,a),flip(a)]. 10066 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6592(a,1),10061(a,1,2))]. 10067 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5207,a,10064,a)]. 10068 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(10064(a,2),5180(a,1))]. 10069 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z)). [hyper(66,a,8767,a,b,10067,a)]. 10070 K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u)). [hyper(66,a,9386,a(flip),b,10067,a)]. 10071 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(66,a,8247,a(flip),b,10067,a)]. 10072 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(66,a,8246,a(flip),b,10067,a)]. 10073 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,u),z)). [para(28(a,1),10067(a,1,2))]. 10074 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6592(a,1),10067(a,1,2))]. 10075 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(6600(a,1),10067(a,1,2)),flip(a)]. 10076 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(10067(a,1),7682(a,1,2))]. 10077 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(198(a,1),10065(a,1,2)),flip(a)]. 10078 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(168(a,1),10071(a,1,2)),flip(a)]. 10079 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(168(a,1),10071(a,2,2))]. 10080 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(169(a,1),10071(a,1,2)),flip(a)]. 10081 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(8434,a,10074,a),flip(a)]. 10082 K(x,T(y,z \ L(y,u,w))) = K(x,T(y,z)). [hyper(285,a,9817,a(flip),b,10074,a),flip(a)]. 10083 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(10074(a,1),8434(a,1))]. 10084 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(285,a,10074,a,b,10081,a),flip(a)]. 10085 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(66,a,7694,a(flip),b,10081,a),flip(a)]. 10086 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(14(a,1),10081(a,1,2,2))]. 10087 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(10081(a,1),8111(a,1,1,2))]. 10090 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10063(a,2),10068(a,1))]. 10092 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(28(a,1),10090(a,1))]. 10093 T(x \ y,K(x,z)) != u | T(y / x,T(x,z)) = u. [para(118(a,1),10090(a,1,1))]. 10095 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,z),u)). [para(28(a,1),10073(a,2,2))]. 10096 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(7681(a,1),10076(a,1,2))]. 10097 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9624(a,1),10084(a,1,2))]. 10098 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(10084(a,1),10083(a,1))]. 10099 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(32(a,2),10085(a,1,2))]. 10100 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(225,a,10096,a)]. 10102 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(37,a,6079,a,b,10096,a)]. 10103 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(285,a,7872,a,b,10100,a)]. 10104 T(K(x,y),z \ K(u,w)) = T(K(x,y),K(w,u) * z). [hyper(66,a,6600,a(flip),b,10100,a),flip(a)]. 10105 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(10100(a,1),3032(a,1,2))]. 10106 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(10100(a,2),7757(a,1))]. 10107 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6594(a,2),10106(a,1))]. 10108 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8001(a,1),10107(a,1))]. 10109 K(x,T(y,(z * (u * y)) \ (z * u))) = K(x,T(y,a(z,u,y))). [para(19(a,2),10097(a,1,2,2)),flip(a)]. 10110 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9443(a,1),10097(a,1,2)),flip(a)]. 10111 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(285,a,6080,a,b,10102,a),flip(a)]. 10112 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(37,a,7872,a,b,10103,a)]. 10113 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(10103(a,1),7873(a,1))]. 10114 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(285,a,7908,a,b,10112,a),flip(a)]. 10115 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(66,a,8656,a,b,10112,a)]. 10116 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(66,a,7908,a,b,10112,a)]. 10117 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(66,a,7921,a(flip),b,10112,a)]. 10118 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5704(a,2),10112(a,1,2))]. 10119 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5708(a,1),10112(a,1,2))]. 10120 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6392(a,1),10112(a,1,2))]. 10121 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6416(a,1),10112(a,1,2))]. 10122 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10114,a)]. 10123 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(66,a,7884,a(flip),b,10114,a)]. 10124 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6392(a,1),10114(a,1,2)),flip(a)]. 10125 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(10114(a,1),8774(a,1,1,1)),flip(a)]. 10126 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(285,a,7884,a(flip),b,10116,a),flip(a)]. 10127 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(66,a,7885,a,b,10116,a)]. 10128 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5967(a,2),10122(a,1,2))]. 10129 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10123,a),flip(a)]. 10130 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(10118(a,1),7957(a,1,1))]. 10131 K(x,K(y,z \ T(y,u))) = K(x,K(y,z)). [hyper(285,a,8196,a(flip),b,10120,a),flip(a)]. 10132 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7589(a,1),10124(a,1,2)),flip(a)]. 10133 K(x,K(y,z)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10131(a,1),7917(a,1,1))]. 10134 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7681(a,2),10105(a,1,2))]. 10135 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(66,a,9272,a(flip),b,10110,a),flip(a)]. 10136 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9270(a,1),10110(a,1,2)),flip(a)]. 10137 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(66,a,8383,a,b,10111,a)]. 10138 (1 / (x * y)) * K(x,y) = K(x,y) * (1 / (x * y)). [para(4193(a,1),10134(a,1,2))]. 10140 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(285,a,6120,a,b,10135,a),flip(a)]. 10142 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,7968,a,b,10136,a)]. 10144 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(66,a,6120,a,b,10140,a)]. 10145 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(14(a,1),10144(a,1,2,2)),flip(a)]. 10146 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(10072(a,2),10098(a,1))]. 10147 K(x \ 1,T(y,K(z,x) * u)) = K(x \ 1,T(y,u)). [hyper(66,a,10069,a(flip),b,10075,a),flip(a)]. 10148 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(10078(a,1),5420(a,1,2))]. 10149 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(10078(a,2),7906(a,2,1))]. 10150 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(10080(a,1),6829(a,1,2))]. 10151 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(66,a,8111,a(flip),b,10087,a),flip(a)]. 10152 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(10066(a,1),10151(a,1,2))]. 10153 T(K(x,y),T(y,z) \ K(y,u)) = K(x,y). [hyper(285,a,7714,a(flip),b,10104,a),flip(a)]. 10154 K(x,y) * (T(y,z) \ K(y,u)) = (T(y,z) \ K(y,u)) * K(x,y). [hyper(124,a,10153,a(flip),b,27,a(flip)),flip(a)]. 10155 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(10112(a,1),10115(a,1,1))]. 10156 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(66,a,8655,a(flip),b,10155,a),flip(a)]. 10157 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7884(a,1),10155(a,1,1))]. 10158 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(66,a,10155,a(flip),b,10157,a),flip(a)]. 10159 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(66,a,8653,a(flip),b,10157,a)]. 10160 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(66,a,8651,a(flip),b,10157,a)]. 10161 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7881,a,b,10158,a)]. 10162 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7042(a,1),10159(a,1,2)),flip(a)]. 10163 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7958,a(flip),b,10161,a),flip(a)]. 10164 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(10121(a,1),7889(a,1,1))]. 10165 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(10123(a,1),10127(a,1,1))]. 10166 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10129(a,1),10127(a,1,1))]. 10167 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(66,a,8742,a,b,10165,a)]. 10168 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10165,a(flip),b,10166,a)]. 10169 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(66,a,8479,a(flip),b,10166,a)]. 10170 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(285,a,7881,a,b,10168,a)]. 10171 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,10123,a(flip),b,10168,a),flip(a)]. 10172 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,7958,a(flip),b,10168,a),flip(a)]. 10173 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(285,a,7881,a,b,10169,a),flip(a)]. 10174 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(66,a,8657,a(flip),b,10169,a)]. 10175 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(10169(a,2),7888(a,1,2))]. 10176 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(268(a,1),10170(a,2,2,2))]. 10177 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [hyper(66,a,8659,a,b,10174,a)]. 10178 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6573(a,1),10128(a,2,2))]. 10179 (K(x,y) * (1 / (x * y))) * y = (1 / (x * y)) * (y * K(x,y)). [para(10138(a,1),7379(a,1,1))]. 10180 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(66,a,10173,a,b,10172,a)]. 10181 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(66,a,8499,a(flip),b,10175,a)]. 10182 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6032(a,1),10177(a,1,2))]. 10183 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6648(a,1),10182(a,1,2)),flip(a)]. 10184 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10168,a,b,10183,a)]. 10185 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(122,a,10148,a(flip),b,5522,a),flip(a)]. 10186 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(10148(a,1),4419(a,1,1)),flip(a)]. 10187 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(122,a,10150,a(flip),b,5522,a),flip(a)]. 10188 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(122,a,10150,a(flip),b,5152,a),flip(a)]. 10189 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(4904(a,1),10117(a,1,2,1)),flip(a)]. 10190 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8654(a,1),10125(a,2,1))]. 10191 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(7908(a,1),10133(a,1,1))]. 10192 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,10097,a(flip),b,10142,a),flip(a)]. 10193 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(7891,a,10164,a),flip(a)]. 10194 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(8138(a,1),10193(a,2,2))]. 10195 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(165(a,1),10194(a,1,2,2,2))]. 10196 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7953,a,10195,a)]. 10197 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6392(a,1),10195(a,1,2))]. 10198 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10195(a,1),10090(a,1))]. 10199 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(285,a,7940,a,b,10196,a),flip(a)]. 10200 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6468(a,1),10196(a,1,2))]. 10201 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [hyper(66,a,8536,a,b,10199,a)]. 10203 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8541,a,10197,a),flip(a)]. 10204 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8537,a,10197,a),flip(a)]. 10205 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [hyper(285,a,8658,a(flip),b,10197,a),flip(a)]. 10206 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(10203(a,1),5178(a,1,2,1))]. 10207 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(10203(a,1),7945(a,1,1))]. 10208 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(122,a,10204,a(flip),b,7401,a)]. 10209 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(285,a,8226,a(flip),b,10200,a),flip(a)]. 10210 T((x / y) \ 1,K(z,x \ y)) = (x / y) \ 1. [hyper(66,a,7746,a(flip),b,10200,a),flip(a)]. 10211 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(10200(a,2),7953(a,1))]. 10212 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(66,a,10055,a,b,10209,a)]. 10213 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10212(a,1),5240(a,1,1))]. 10214 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(8152(a,1),10213(a,1,1))]. 10215 T((x / y) \ 1,z / (x \ y)) = T((x / y) \ 1,(x \ y) \ z). [para(10210(a,1),10213(a,1,1))]. 10216 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [hyper(66,a,10201,a(flip),b,10205,a),flip(a)]. 10217 x \ T(y * x,K(y,z)) = T(T(y,K(x,z)),x). [para(10216(a,1),4927(a,1,1)),flip(a)]. 10219 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(10217(a,2),10092(a,1))]. 10220 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(285,a,8041,a(flip),b,10207,a),flip(a)]. 10221 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7286(a,1),10208(a,1,1,1,1))]. 10222 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(8315,a,10220,a)]. 10223 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7884(a,1),10222(a,1,1))]. 10224 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7879(a,1),10223(a,1,1))]. 10225 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(66,a,8886,a(flip),b,10167,a)]. 10226 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(285,a,5190,a,b,10190,a),flip(a)]. 10228 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(66,a,10196,a(flip),b,10226,a),flip(a)]. 10230 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9718(a,2),10108(a,1))]. 10231 K(x,T(y,L(y,z,u) \ 1)) = K(x,T(y,a(u,z,y))). [para(6596(a,1),10109(a,1,2))]. 10232 K(x,T(y,a(z,u,y))) = K(x,y). [hyper(66,a,9819,a(flip),b,10231,a),flip(a)]. 10234 T(x,T(y,a(z,u,y))) = x * K(x,y). [hyper(124,a,10232,a(flip),b,5125,a(flip)),flip(a)]. 10235 T(x,T(y,a(z,u,y))) = T(x,y). [hyper(285,a,5130,a,b,10234,a),flip(a)]. 10236 (x * T(y,a(z,u,y))) / T(x,y) = T(y,a(z,u,y)). [para(10235(a,1),179(a,1,2))]. 10237 T(x,T(a(y,z,x),u)) = T(x,a(y,z,x)). [hyper(8364,a,10236,a)]. 10238 T(T(x,y),T(a(z,u,x),w)) = T(T(x,a(z,u,x)),y). [para(10237(a,1),28(a,1,1)),flip(a)]. 10239 K(x,a(y,z,x)) * T(x,u) = T(T(x,a(y,z,x)),u). [hyper(8287,a,10238,a)]. 10240 T(x,T(y,a(z,u,x))) = T(x,y). [hyper(37,a,7825,a,b,10239,a)]. 10241 T(x,T(y,a(z,u,x))) = x * K(x,y). [hyper(285,a,5130,a(flip),b,10240,a),flip(a)]. 10242 K(x,T(y,a(z,u,x))) = K(x,y). [hyper(5207,a,10241,a)]. 10244 K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y). [para(10242(a,1),7682(a,1,2)),flip(a)]. 10245 K(x,a(y,z,x) / u) != w | K(x,u \ a(y,z,x)) = w. [para(10242(a,1),7708(a,1))]. 10246 T(a(x,y,z),K(z,u)) = a(x,y,z). [hyper(225,a,10244,a)]. 10248 a(x \ 1,x / y,y) = a(x \ 1,y \ x,y). [hyper(66,a,8983,a(flip),b,10246,a),flip(a)]. 10250 a(x \ 1,y \ x,y) / y = (1 / x) * (x / y). [hyper(123,a,10248,a(flip),b,3938,a)]. 10251 a((x * y) \ 1,(x * y) / x,x) = a((x * y) \ 1,y,x). [para(14(a,1),10248(a,2,2))]. 10252 (1 / (x * y)) * ((x * y) / x) = a((x * y) \ 1,y,x) / x. [para(14(a,1),10250(a,1,1,2)),flip(a)]. 10253 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(66,a,10184,a(flip),b,10176,a)]. 10254 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(66,a,497,a,b,10185,a)]. 10255 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(223(a,1),10185(a,1,1,1))]. 10256 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(10187(a,1),2232(a,1))]. 10257 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10080(a,2),10187(a,1,1))]. 10258 K(x,y) * (T(y,z) \ K(y,x)) = T(y,z) \ 1. [hyper(285,a,7404,a(flip),b,10154,a),flip(a)]. 10259 (1 / (x * y)) * (y * K(x,y)) = K(x,y) * ((1 / (x * y)) * y). [hyper(9166,a,10179,a),flip(a)]. 10260 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(37,a,10142,a,b,10192,a),flip(a)]. 10261 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1148(a,1),10260(a,1,2,2))]. 10262 1 / (((x / y) \ 1) \ K(z / (x \ y),(x / y) \ 1)) = T((x / y) \ 1,(x \ y) \ z). [hyper(66,a,5302,a(flip),b,10215,a)]. 10263 ((x / y) * T((x / y) \ 1,(x \ y) \ z)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(10215(a,1),7436(a,1,1,2))]. 10264 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(285,a,10171,a(flip),b,10225,a),flip(a)]. 10266 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(10137(a,1),10264(a,1,1,1)),flip(a)]. 10267 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10040(a,1),10186(a,2,1))]. 10268 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(5473,a,10206,a),flip(a)]. 10269 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(285,a,7884,a,b,10268,a),flip(a)]. 10270 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(10269(a,1),7920(a,1,1,1)),flip(a)]. 10271 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2606(a,1),10257(a,1,1,1,2)),flip(a)]. 10272 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(66,a,8290,a(flip),b,10077,a),flip(a)]. 10273 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(10272(a,1),5567(a,1,2,2))]. 10274 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(285,a,5525,a(flip),b,10270,a),flip(a)]. 10275 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(10211,a,10274,a)]. 10276 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9925(a,1),10253(a,1,2))]. 10277 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(66,a,7908,a,b,10162,a)]. 10278 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5320(a,1),10266(a,2,1))]. 10279 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(285,a,7860,a(flip),b,10278,a),flip(a)]. 10280 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(285,a,10116,a(flip),b,10279,a),flip(a)]. 10281 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(170(a,1),10099(a,1,2,1))]. 10282 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(285,a,5722,a(flip),b,8379,a),flip(a)]. 10283 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(117(a,1),10282(a,1,1,1))]. 10284 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8029,a(flip),b,8764,a)]. 10285 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8505,a(flip),b,10284,a)]. 10286 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(66,a,8765,a(flip),b,10285,a),flip(a)]. 10287 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(285,a,9439,a(flip),b,10286,a),flip(a)]. 10288 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5846(a,1),10287(a,1,1))]. 10289 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3193(a,1),10288(a,1,1))]. 10290 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(285,a,8744,a(flip),b,10289,a),flip(a)]. 10291 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8744,a(flip),b,10290,a)]. 10292 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8424,a,b,10291,a)]. 10293 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(170(a,1),10291(a,1,2)),flip(a)]. 10294 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8283(a,1),10293(a,1,2))]. 10295 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(66,a,6633,a(flip),b,10294,a)]. 10296 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(285,a,6626,a,b,10295,a),flip(a)]. 10297 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(15(a,1),10296(a,2,2))]. 10298 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4105(a,1),10297(a,1,2))]. 10299 K(T(T(x,y),z),(x * u) \ w) = K(T(T(x,y),z),u \ (x \ w)). [hyper(7544,a,9147,a),flip(a)]. 10301 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),z / (x * u)). [hyper(66,a,8003,a(flip),b,10299,a),flip(a)]. 10302 K(T(x,y),(x \ z) / u) = K(T(x,y),z / (x * u)). [hyper(66,a,8073,a(flip),b,10301,a)]. 10303 K(T(x / y,y),z / ((x / y) * u)) = K(y \ x,((x / y) \ z) / u). [para(118(a,1),10302(a,1,1)),flip(a)]. 10304 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((y / x) * u)). [para(118(a,1),10303(a,1,1)),flip(a)]. 10305 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((x \ y) * u)). [hyper(285,a,8705,a(flip),b,10304,a),flip(a)]. 10306 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9787(a,1),9256(a,1,2))]. 10307 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(66,a,9211,a(flip),b,10306,a),flip(a)]. 10308 K(((x \ 1) * (y \ 1)) \ 1,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(14(a,1),9267(a,1,1,1,1,1,1))]. 10309 K((x \ 1) \ y,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(6575(a,1),10308(a,1,1))]. 10310 K(x * y,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(6572(a,1),10309(a,1,1))]. 10311 R(1 / x,x,K(y * x,y)) = 1 / (y \ (y * x)). [hyper(395,a,10310,a)]. 10312 R(1 / x,x,K(y * x,y)) = 1 / x. [para(14(a,1),10311(a,2,2))]. 10313 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(10312(a,1),367(a,1,1))]. 10314 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5785(a,2),10313(a,1,2))]. 10315 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(5785(a,2),10314(a,2,2))]. 10316 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10315(a,2),215(a,1,2,2))]. 10317 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = T(1 / x,(1 / x) \ 1). [hyper(285,a,7566,a(flip),b,9271,a),flip(a)]. 10318 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = x \ 1. [hyper(285,a,597,a(flip),b,10317,a),flip(a)]. 10320 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(8961(a,1),9360(a,1,1,1,2)),flip(a)]. 10322 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [hyper(66,a,8105,a(flip),b,9767,a),flip(a)]. 10323 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5149(a,2),10322(a,1,2,1,1,1))]. 10324 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [hyper(66,a,9938,a(flip),b,10323,a)]. 10325 1 / (((x / y) \ 1) \ K(z / (x \ y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(5708(a,1),10262(a,1,2,2))]. 10326 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3359(a,1),8285(a,1,2,1)),flip(a)]. 10327 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3359(a,1),10326(a,1,2)),flip(a)]. 10329 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10327(a,1),593(a,1,1,1)),flip(a)]. 10331 K(T(T(x / (x / y),z),R(u,w,v5) * x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,8028,a(flip),b,8349,a)]. 10332 K(T(T(x / (x / y),z),x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,9511,a(flip),b,10331,a)]. 10334 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T((u / x) \ u,y),z). [hyper(66,a,7798,a(flip),b,10332,a),flip(a)]. 10335 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T(x,y),z). [para(90(a,1),10334(a,2,1,1))]. 10336 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(14(a,1),8818(a,1,2,1))]. 10338 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(23(a,2),10336(a,1,2))]. 10339 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(66,a,9387,a(flip),b,10338,a)]. 10340 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(285,a,9110,a(flip),b,10339,a),flip(a)]. 10343 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(15(a,1),10340(a,2,2,2))]. 10344 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(17(a,1),10340(a,1,1,2)),flip(a)]. 10345 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(66,a,7096,a(flip),b,10343,a),flip(a)]. 10346 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4250(a,1),10343(a,1,1,2))]. 10347 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(10343(a,1),6804(a,1,2))]. 10348 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10343(a,1),8165(a,1,1,2))]. 10349 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10343(a,1),8147(a,1,2,2))]. 10350 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(66,a,6738,a(flip),b,10345,a)]. 10352 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(96(a,1),10348(a,1,1)),flip(a)]. 10353 K(x / (y / L(z,u,w)),z) = K(x / (L(z,u,w) \ y),z). [para(6533(a,1),10348(a,1,1))]. 10354 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7402(a,1),10348(a,1,1)),flip(a)]. 10355 K((x * T(L(y,z,u),w)) / w,y) = K((x * L(y,z,u)) / w,y). [para(7445(a,1),10348(a,1,1)),flip(a)]. 10356 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7723(a,1),10348(a,1,1)),flip(a)]. 10357 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10356(a,1),8027(a,1,1,2)),flip(a)]. 10358 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(66,a,6740,a(flip),b,10349,a),flip(a)]. 10359 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10343(a,1),10349(a,1,2,2))]. 10360 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9631,a,10344,a),flip(a)]. 10361 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10344(a,1),8056(a,1,2,2))]. 10362 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10344(a,1),8138(a,1,2,1))]. 10363 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(96(a,1),10361(a,1,2))]. 10364 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5146(a,1),10362(a,1,2))]. 10365 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(66,a,8333,a(flip),b,10360,a)]. 10366 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(66,a,6846,a(flip),b,10360,a)]. 10367 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(34(a,2),10360(a,1,1))]. 10369 K(L(x,y,x) * z,x) = K(x * z,x). [hyper(285,a,8797,a(flip),b,10352,a),flip(a)]. 10370 K((L(x,y,z) \ x) \ u,x) = K((x \ u) * L(x,y,z),x). [hyper(66,a,9580,a,b,10352,a)]. 10371 K(x * (L(x,y,x) \ z),x) = K(z,x). [para(15(a,1),10369(a,1,1)),flip(a)]. 10372 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(10371(a,1),5150(a,1,1,2))]. 10373 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(10372(a,1),5240(a,1,1)),flip(a)]. 10374 T(x,L(x,y,x) * z) = T(x,x * z). [para(14(a,1),10373(a,1,2,2)),flip(a)]. 10376 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(285,a,5130,a(flip),b,10374,a),flip(a)]. 10379 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5207,a,10376,a)]. 10380 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(10379(a,1),9004(a,1,1))]. 10381 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(10363(a,1),9813(a,1,2))]. 10382 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(103(a,1),10381(a,1,2,2))]. 10383 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10364(a,1),9998(a,1,2))]. 10384 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [hyper(66,a,7881,a,b,10383,a)]. 10385 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10384,a),flip(a)]. 10386 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(103(a,1),10385(a,1,2,2))]. 10387 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(15(a,1),10382(a,1,2,2,2))]. 10388 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8740(a,1),10382(a,1,2))]. 10389 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(285,a,8244,a(flip),b,10388,a),flip(a)]. 10390 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(66,a,8244,a(flip),b,10388,a),flip(a)]. 10391 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(15(a,1),10389(a,1,2,2,2))]. 10392 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(66,a,8269,a,b,10390,a)]. 10393 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(15(a,1),10390(a,1,2,2))]. 10394 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(5191(a,1),10391(a,1,2,2)),flip(a)]. 10395 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(30(a,2),10354(a,1,1,2))]. 10397 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(113(a,1),10365(a,1,1)),flip(a)]. 10398 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10365(a,1),8743(a,1,1))]. 10399 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(285,a,8244,a(flip),b,10387,a),flip(a)]. 10400 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(66,a,8244,a(flip),b,10387,a),flip(a)]. 10401 K(x,T(x \ (y \ z),z)) = K(x,T(x \ (y \ z),y)). [para(15(a,1),10399(a,1,2,2))]. 10402 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10399(a,1),8500(a,1,1,1)),flip(a)]. 10403 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(17(a,1),10400(a,1,2,2)),flip(a)]. 10404 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(66,a,8568,a(flip),b,10403,a)]. 10405 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10395(a,1),6831(a,1,1,1,2))]. 10406 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6797(a,1),10347(a,1,2))]. 10407 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(285,a,8027,a(flip),b,10357,a),flip(a)]. 10408 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(341(a,1),10407(a,1,2,2,1,1))]. 10409 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(5234(a,1),10407(a,1,2,2))]. 10410 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(7708,a,10408,a),flip(a)]. 10411 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5545(a,1),10408(a,1,2,2))]. 10412 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6094(a,1),10408(a,1,2,2,1))]. 10415 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7997(a,1),10408(a,1,2,2))]. 10416 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8739(a,1),10415(a,1,2,2)),flip(a)]. 10417 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(66,a,9966,a(flip),b,10411,a),flip(a)]. 10418 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(112(a,1),10412(a,1,2,2))]. 10420 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(10146,a,10417,a)]. 10421 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [hyper(8434,a,10420,a),flip(a)]. 10422 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(15(a,1),10420(a,1,2,2,1)),flip(a)]. 10423 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(19(a,2),10420(a,1,2,2)),flip(a)]. 10424 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(5000(a,1),10420(a,1,2)),flip(a)]. 10425 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [para(14(a,1),10421(a,1,2,2)),flip(a)]. 10427 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(285,a,7968,a,b,10422,a)]. 10428 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(66,a,9337,a(flip),b,10422,a)]. 10429 K(x \ 1,T(y,z \ x)) = K(x \ 1,T(y,z)). [hyper(10098,a,10424,a)]. 10430 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [hyper(66,a,6628,a,b,10425,a)]. 10431 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(66,a,9545,a,b,10428,a)]. 10432 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [hyper(124,a,10428,a(flip),b,5125,a(flip)),flip(a)]. 10433 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(15(a,1),10428(a,1,2,2,2)),flip(a)]. 10434 K((x * y) \ 1,T(z,y)) = K((x * y) \ 1,T(z,x)). [para(14(a,1),10429(a,1,2,2))]. 10435 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(17(a,1),10430(a,1,2,2))]. 10436 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(15(a,1),10431(a,1,2,2,2))]. 10437 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(10083,a,10433,a),flip(a)]. 10438 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(66,a,10070,a(flip),b,10433,a),flip(a)]. 10440 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5146(a,1),10418(a,1,2,2,1)),flip(a)]. 10441 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8080(a,1),10418(a,1,2,2,1)),flip(a)]. 10442 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(285,a,5130,a,b,10432,a),flip(a)]. 10443 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(15(a,1),10442(a,1,2,2,2)),flip(a)]. 10444 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(115(a,1),10443(a,1,2)),flip(a)]. 10445 K((x * y) \ 1,T(T(z,x),y)) = K((x * y) \ 1,z). [hyper(285,a,7991,a(flip),b,10434,a),flip(a)]. 10446 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [hyper(285,a,8096,a(flip),b,10435,a),flip(a)]. 10447 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(285,a,10074,a,b,10436,a),flip(a)]. 10448 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(7708,a,10441,a),flip(a)]. 10450 K(((x \ 1) * y) \ 1,T(T(z,x),y)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,10095,a(flip),b,10445,a)]. 10451 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(10083,a,10447,a),flip(a)]. 10452 K(x \ y,T(z,(u * x) \ y)) = K(x \ y,T(z,T(u,x))). [para(27(a,2),10447(a,2,2,2))]. 10455 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(66,a,9376,a,b,10451,a)]. 10456 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(66,a,9320,a(flip),b,10455,a),flip(a)]. 10457 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(66,a,5734,a(flip),b,10406,a)]. 10458 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(10406(a,1),5252(a,1,1))]. 10459 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(10406(a,1),5217(a,1,2)),flip(a)]. 10461 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(10457(a,1),488(a,1,1))]. 10462 L(x,y,1 / (y * x)) \ 1 = T((1 / (y * x)) * y,x). [para(438(a,1),10458(a,1,1)),flip(a)]. 10464 1 / T((1 / (x * y)) * x,y) = L(y,x,1 / (x * y)). [hyper(185,a,10462,a)]. 10466 1 / T((1 / (x * y)) * x,y) != z | L(y,x,(x * y) \ 1) = z. [para(10464(a,2),3659(a,1))]. 10467 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(30(a,2),10358(a,1,2,1,1))]. 10468 K((x \ y) * L(x,z,z \ 1),x) = K(a(z \ 1,z,x) \ y,x). [para(3937(a,1),10370(a,1,1,1)),flip(a)]. 10469 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(66,a,8567,a(flip),b,10394,a),flip(a)]. 10470 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(17(a,1),10469(a,1,2,2)),flip(a)]. 10471 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5364,a,10398,a),flip(a)]. 10472 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10471(a,1),8761(a,2,2))]. 10473 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(285,a,9535,a(flip),b,10409,a),flip(a)]. 10475 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(16(a,1),10473(a,1,2,2)),flip(a)]. 10476 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(178(a,1),10473(a,1,2,2)),flip(a)]. 10477 K(T(x,y),T(z,u * L(x,w,v5))) = K(x,T(z * K(y,z),u)). [hyper(66,a,8030,a(flip),b,10475,a)]. 10478 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(66,a,10416,a(flip),b,10476,a)]. 10479 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(66,a,7696,a(flip),b,10478,a),flip(a)]. 10480 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(285,a,6628,a,b,10479,a),flip(a)]. 10481 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10480(a,1),9898(a,1,1)),flip(a)]. 10482 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(66,a,9978,a(flip),b,10410,a)]. 10483 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7708,a,10482,a),flip(a)]. 10485 K(x,y \ T(x,z)) = K(x,y \ x). [para(5190(a,2),10483(a,1,2,2))]. 10486 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(5146(a,1),10483(a,1,2,2)),flip(a)]. 10487 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5158(a,1),10483(a,1,2,2)),flip(a)]. 10488 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(5268(a,1),10483(a,1,2,2)),flip(a)]. 10489 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(5294(a,1),10483(a,1,2,2)),flip(a)]. 10490 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5516(a,1),10483(a,1,2,2)),flip(a)]. 10491 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6254(a,1),10483(a,1,2,2)),flip(a)]. 10492 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(7239(a,1),10483(a,1,2,2)),flip(a)]. 10493 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8080(a,1),10483(a,1,2,2)),flip(a)]. 10494 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10485(a,1),7917(a,1,1,2))]. 10495 K(x,(y * z) \ (x * y)) = K(x,z \ x). [hyper(6639,a,10486,a),flip(a)]. 10496 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10489(a,1),10260(a,1,2)),flip(a)]. 10497 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5818(a,1),10493(a,1,2,2))]. 10498 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6585(a,1),10493(a,1,2,2)),flip(a)]. 10499 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(66,a,9418,a,b,10490,a)]. 10500 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(285,a,10112,a(flip),b,10496,a),flip(a)]. 10501 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(10496(a,1),7893(a,1,1,1))]. 10502 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10500(a,1),7686(a,1,1))]. 10503 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(90(a,1),10497(a,1,2,2)),flip(a)]. 10505 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(66,a,7530,a(flip),b,10503,a),flip(a)]. 10506 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(285,a,9694,a(flip),b,10488,a),flip(a)]. 10507 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(442(a,1),10491(a,1,2))]. 10508 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(5101(a,1),10491(a,1,2,2,2))]. 10509 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(5312(a,1),10491(a,1,2,2,2))]. 10510 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(8035(a,1),10491(a,1,2,2,2))]. 10511 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(10510(a,1),7399(a,1,1,2)),flip(a)]. 10513 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(37,a,7968,a,b,10427,a)]. 10514 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(66,a,10120,a,b,10513,a)]. 10515 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(66,a,8313,a,b,10513,a)]. 10516 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(66,a,9559,a,b,10514,a)]. 10517 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(66,a,9633,a(flip),b,10515,a)]. 10518 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10517(a,1),10103(a,1,2)),flip(a)]. 10519 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(66,a,7884,a,b,10516,a)]. 10520 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(10098,a,10438,a)]. 10521 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w * x)). [hyper(66,a,10082,a(flip),b,10452,a),flip(a)]. 10522 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(66,a,7995,a(flip),b,10456,a),flip(a)]. 10523 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(122,a,10522,a(flip),b,5124,a(flip))]. 10524 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6423,a,10467,a)]. 10525 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1051(a,1),10524(a,1,2,2,1)),flip(a)]. 10526 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1052(a,1),10524(a,1,2,2,1))]. 10527 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(285,a,8520,a,b,10472,a)]. 10529 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(14(a,1),10520(a,1,2,2)),flip(a)]. 10530 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10529(a,1),8804(a,1,1))]. 10531 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(66,a,7991,a(flip),b,10397,a)]. 10532 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(589(a,1),10423(a,1,2,2))]. 10533 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(66,a,7777,a(flip),b,10532,a),flip(a)]. 10535 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(66,a,8038,a(flip),b,10533,a)]. 10536 T(x,T(y,a(x,z,u))) = x * K(x,y). [hyper(124,a,10533,a(flip),b,5125,a(flip)),flip(a)]. 10537 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(285,a,5130,a,b,10536,a),flip(a)]. 10538 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10537(a,1),8555(a,1,1,1))]. 10539 x * (a(1 / y,y,x) / x) = x * (1 / L(x,y,y \ 1)). [hyper(66,a,3830,a(flip),b,10459,a)]. 10541 x * (a(y \ 1,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(3935(a,1),10539(a,1,2,1))]. 10542 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (a(y \ 1,y,x) / x))) = K(x,z \ x). [para(10541(a,2),10495(a,1,2,2))]. 10543 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1584,a,10461,a)]. 10544 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(180,a,10543,a)]. 10545 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(136,a,10543,a)]. 10546 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(10544(a,1),6344(a,2,2,1))]. 10547 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(10544(a,1),6989(a,2,1,1))]. 10548 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),L(z,y,x)). [para(10545(a,1),4731(a,1,2,2))]. 10549 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6864(a,1),10547(a,1,1))]. 10550 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [hyper(185,a,10549,a)]. 10551 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10549(a,1),3894(a,2,1))]. 10552 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(9467(a,1),10550(a,2,1,1))]. 10553 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [hyper(647,a,10548,a),flip(a)]. 10554 K(L(x,y,z),a(z,y,x)) = a(z,y,x) / a(z,y,x). [para(10553(a,1),5123(a,2,2))]. 10555 K(L(x,y,z),a(z,y,x)) = 1. [hyper(285,a,85,a(flip),b,10554,a),flip(a)]. 10557 K(((x / y) * (y / z)) \ x,a(x / y,y / z,z)) = 1. [para(654(a,1),10555(a,1,1))]. 10558 K(T(x,y),T(z,u * L(x,w,v5))) = K(T(x,y),T(z,u)). [hyper(285,a,8030,a(flip),b,10477,a),flip(a)]. 10559 K(T(x,y),T(z,y)) = K(R(x,y,L(x,u,w)),z). [hyper(66,a,8109,a(flip),b,10558,a),flip(a)]. 10561 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,7990,a(flip),b,10559,a),flip(a)]. 10563 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(66,a,8011,a(flip),b,10561,a),flip(a)]. 10564 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(10561(a,1),5190(a,2,1)),flip(a)]. 10565 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(66,a,7990,a(flip),b,10563,a),flip(a)]. 10567 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(10565(a,1),5232(a,2,1,1))]. 10568 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(285,a,5232,a,b,10567,a),flip(a)]. 10569 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(285,a,32,a,b,10564,a),flip(a)]. 10570 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(285,a,7753,a(flip),b,10531,a)]. 10571 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(90(a,1),10570(a,1,1,1)),flip(a)]. 10572 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(16(a,1),10571(a,1,1,2)),flip(a)]. 10573 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(87(a,1),10571(a,1,1,2)),flip(a)]. 10575 K(a(x \ 1,x,y) \ z,y) = K(z,y). [hyper(66,a,8715,a(flip),b,10468,a),flip(a)]. 10577 K(x,a(y \ 1,y,x) \ z) = (x \ K(z,x)) \ (x \ 1). [para(10575(a,1),5649(a,1,1,2)),flip(a)]. 10578 K(x,a(y \ 1,y,x) \ z) = K(x,z). [hyper(285,a,5649,a(flip),b,10577,a),flip(a)]. 10579 K(x,a(y \ 1,y,x) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,10578,a),flip(a)]. 10580 K(x,y \ a(z \ 1,z,x)) = K(x,y \ 1). [hyper(10245,a,10579,a)]. 10581 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(38,a,10191,a,b,10494,a),flip(a)]. 10582 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10581,a)]. 10583 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(66,a,10178,a,b,10582,a)]. 10584 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(90(a,1),10583(a,1,2,2,1,2))]. 10585 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(66,a,7147,a(flip),b,10584,a)]. 10586 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(7895,a,10501,a),flip(a)]. 10587 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(10586(a,1),8773(a,1,2))]. 10588 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(285,a,7399,a(flip),b,10511,a),flip(a)]. 10589 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(96(a,1),10588(a,1,1,2,2))]. 10590 K((x * (y * z)) / u,T(z,x * (y * z))) = K(u \ (x * (z * y)),z). [hyper(8435,a,10589,a)]. 10591 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),10589(a,2,1))]. 10592 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(285,a,7872,a(flip),b,10518,a),flip(a)]. 10593 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(10113,a,10592,a)]. 10594 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(17(a,1),10593(a,1,2,2)),flip(a)]. 10595 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(10594(a,1),5178(a,1,2,1))]. 10596 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(66,a,9004,a(flip),b,10380,a),flip(a)]. 10597 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(7997(a,1),10402(a,2,1))]. 10598 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(10523(a,1),9692(a,1,1))]. 10599 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (x * (z * y)),z). [hyper(66,a,10382,a(flip),b,10590,a)]. 10600 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(66,a,6924,a(flip),b,10405,a),flip(a)]. 10602 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(7991(a,1),10530(a,1,1)),flip(a)]. 10603 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(66,a,9905,a,b,10602,a)]. 10605 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(619,a,10546,a)]. 10606 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(30(a,2),10605(a,1,1))]. 10607 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(128,a,10606,a)]. 10608 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1509(a,1),10607(a,1,1))]. 10609 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(66,a,10033,a(flip),b,10448,a)]. 10610 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(7708,a,10609,a),flip(a)]. 10612 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5439(a,1),10610(a,1,2,2,1)),flip(a)]. 10613 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(285,a,9059,a(flip),b,10591,a),flip(a)]. 10615 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5558,a,10598,a),flip(a)]. 10616 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(66,a,10506,a,b,10615,a)]. 10617 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(285,a,10596,a(flip),b,10366,a),flip(a)]. 10619 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(285,a,6845,a(flip),b,10617,a),flip(a)]. 10620 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(66,a,7738,a(flip),b,10538,a)]. 10621 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(9082,a,10346,a)]. 10623 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (x \ a(y \ 1,y,x)))) = K(x,z \ x). [hyper(66,a,10498,a(flip),b,10542,a)]. 10624 K(x,((1 / L(x,y,y \ 1)) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(15(a,1),10623(a,1,2,2))]. 10625 K(x,((L(x,y,y \ 1) \ 1) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [hyper(66,a,7160,a(flip),b,10624,a)]. 10627 K(x,((L(x,y,y \ 1) \ 1) * z) \ 1) = K(x,z \ x). [hyper(66,a,10580,a(flip),b,10625,a)]. 10629 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5473,a,10595,a),flip(a)]. 10630 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(285,a,10169,a(flip),b,10629,a),flip(a)]. 10631 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(66,a,10169,a(flip),b,10630,a)]. 10632 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9822(a,1),10631(a,1,2))]. 10633 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(66,a,10276,a(flip),b,10632,a),flip(a)]. 10634 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(66,a,10176,a(flip),b,10633,a),flip(a)]. 10635 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(66,a,7881,a,b,10634,a)]. 10636 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(66,a,9750,a(flip),b,10635,a)]. 10637 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(285,a,8904,a(flip),b,10636,a),flip(a)]. 10639 K(x,K(y,a(z,x,u))) = 1. [para(208(a,1),10637(a,1,2,2,3))]. 10641 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10639(a,1),7862(a,1,2)),flip(a)]. 10642 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(285,a,13,a(flip),b,10641,a),flip(a)]. 10643 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8227,a,10642,a)]. 10644 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [hyper(124,a,10643,a(flip),b,27,a(flip)),flip(a)]. 10646 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(9540(a,1),10608(a,1,2,2))]. 10647 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5591,a,10646,a)]. 10649 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(66,a,9199,a(flip),b,10507,a),flip(a)]. 10651 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(66,a,8612,a(flip),b,10649,a),flip(a)]. 10653 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(23(a,2),10651(a,2,2))]. 10654 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5360(a,1),10653(a,1,2,2)),flip(a)]. 10655 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10654(a,1),5633(a,1,2,2)),flip(a)]. 10656 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(285,a,5633,a(flip),b,10655,a),flip(a)]. 10657 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5143(a,1),10656(a,1,1,2)),flip(a)]. 10658 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(66,a,10621,a(flip),b,10657,a)]. 10661 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(38,a,6177,a(flip),b,10551,a),flip(a)]. 10662 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(66,a,7261,a,b,10661,a)]. 10663 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1080(a,1),10662(a,1,2))]. 10664 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(136,a,10663,a)]. 10665 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(10663(a,1),5254(a,2,1)),flip(a)]. 10666 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(10664(a,1),6938(a,1,2,2,1)),flip(a)]. 10667 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(285,a,7908,a,b,10665,a),flip(a)]. 10668 L(K(x,y) * K(x,K(y,z * u)),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(10386(a,1),9010(a,1,1,2))]. 10669 (x * (y * T(z,u))) / (x * (y * z)) = L(K(z,T(u,x * y)),y * z,x). [para(7968(a,1),10668(a,1,1)),flip(a)]. 10670 (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). [hyper(285,a,6653,a(flip),b,10669,a),flip(a)]. 10671 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(285,a,16,a(flip),b,9180,a),flip(a)]. 10673 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(9170(a,1),10671(a,1,3))]. 10674 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(285,a,10152,a(flip),b,9440,a),flip(a)]. 10675 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(285,a,10292,a(flip),b,10674,a),flip(a)]. 10676 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(208(a,1),10675(a,2,2,2))]. 10677 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(66,a,10428,a(flip),b,10676,a)]. 10678 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(14(a,1),10677(a,1,2,2))]. 10679 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(66,a,8414,a(flip),b,10678,a)]. 10683 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(285,a,8419,a(flip),b,10679,a),flip(a)]. 10684 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(17(a,1),10683(a,1,2,2,1)),flip(a)]. 10685 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [hyper(124,a,10684,a(flip),b,5125,a(flip)),flip(a)]. 10686 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(285,a,5130,a,b,10685,a),flip(a)]. 10687 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(285,a,9470,a(flip),b,9471,a),flip(a)]. 10688 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(285,a,6468,a(flip),b,10687,a),flip(a)]. 10689 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(66,a,9659,a(flip),b,10688,a),flip(a)]. 10691 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1245(a,1),10689(a,1,1))]. 10692 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(285,a,9495,a(flip),b,9493,a),flip(a)]. 10693 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(285,a,6592,a(flip),b,10692,a),flip(a)]. 10694 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(66,a,9664,a(flip),b,10693,a),flip(a)]. 10696 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(8426,a,9573,a),flip(a)]. 10697 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(66,a,5918,a(flip),b,9625,a),flip(a)]. 10698 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(78(a,1),10697(a,2,1))]. 10699 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(285,a,4600,a(flip),b,9682,a),flip(a)]. 10700 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(604(a,1),10699(a,1,2))]. 10701 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6555,a,10700,a),flip(a)]. 10702 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(116(a,1),9685(a,2,2))]. 10703 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(285,a,9905,a,b,10702,a),flip(a)]. 10704 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(9684(a,1),10703(a,1,3)),flip(a)]. 10705 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(66,a,10603,a(flip),b,10704,a),flip(a)]. 10707 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(10705(a,1),32(a,2,1))]. 10708 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(5336(a,1),10705(a,1,1))]. 10709 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(10705(a,1),5808(a,1,1))]. 10710 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(285,a,30,a,b,10707,a),flip(a)]. 10711 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(5336(a,1),10708(a,2,1))]. 10712 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [hyper(66,a,8790,a(flip),b,10711,a)]. 10713 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(66,a,25,a(flip),b,10711,a)]. 10714 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10710(a,2,1))]. 10715 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [hyper(66,a,9615,a(flip),b,10712,a)]. 10716 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10714(a,1,1))]. 10717 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [hyper(66,a,7526,a(flip),b,10715,a),flip(a)]. 10718 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10713(a,1),479(a,1))]. 10719 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(9681(a,1),10713(a,1,1))]. 10720 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(116(a,1),10719(a,1,2))]. 10721 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(66,a,9905,a,b,10720,a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(116(a,1),10014(a,1,2))]. 10723 K(((x / y) * (z * y)) \ (x * (z * y)),z) = L(K(y,z),T(x,z * y),z * y). [hyper(66,a,9916,a,b,10722,a)]. 10724 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(10079(a,1),10255(a,1,1)),flip(a)]. 10725 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5316(a,1),10724(a,2,2))]. 10726 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10036(a,1),10267(a,1,2,1))]. 10727 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5545(a,1),10726(a,1,2))]. 10729 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7801(a,1),10273(a,1,1))]. 10730 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10314(a,1),10316(a,1,2,2))]. 10731 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9543(a,1),10730(a,1,2,2))]. 10732 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(116(a,1),10731(a,1,2)),flip(a)]. 10733 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(285,a,9817,a(flip),b,10696,a),flip(a)]. 10735 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(285,a,8013,a(flip),b,10733,a),flip(a)]. 10736 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6775(a,1,1,2))]. 10737 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(285,a,626,a(flip),b,10736,a),flip(a)]. 10739 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(136,a,10737,a)]. 10740 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(39,a,5448,a,b,10737,a)]. 10742 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(116(a,1),10739(a,1,2)),flip(a)]. 10743 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10739(a,1),5453(a,1,2)),flip(b)]. 10744 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7884(a,2),10739(a,1,1))]. 10745 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5360(a,1),10740(a,1,2,2)),flip(a)]. 10746 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(66,a,7945,a,b,10745,a)]. 10747 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6651(a,1),10745(a,1,2,1)),flip(a)]. 10748 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7941(a,1),10745(a,2,2))]. 10750 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(224,a,9194,a,b,10742,a)]. 10751 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6270,a,10750,a),flip(a)]. 10753 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(10750(a,2),263(a,1))]. 10754 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(7884(a,1),10750(a,2,1))]. 10756 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7884(a,2),10744(a,2,2,1))]. 10757 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8232(a,1),10746(a,1,1))]. 10758 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(66,a,9408,a(flip),b,10748,a)]. 10759 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6270,a,10758,a),flip(a)]. 10760 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(285,a,8533,a(flip),b,10759,a),flip(a)]. 10761 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(10759(a,2),7399(a,1,1))]. 10763 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(10760(a,1),4144(a,1,1)),flip(a)]. 10764 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(285,a,8915,a(flip),b,10761,a),flip(a)]. 10765 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(7884(a,1),10754(a,1,1,1))]. 10766 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(303,a,10756,a),flip(a)]. 10767 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7884(a,2),10766(a,1,2,1))]. 10768 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6651(a,1),10747(a,1,1))]. 10769 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(268(a,1),6799(a,1,2)),flip(a)]. 10770 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(285,a,6468,a(flip),b,10769,a),flip(a)]. 10771 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(268(a,1),10770(a,1,2))]. 10772 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(285,a,6871,a(flip),b,10771,a),flip(a)]. 10773 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(10772(a,1),6019(a,2,2)),flip(a)]. 10774 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(78(a,1),10773(a,1,2,1))]. 10775 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(37,a,3896,a(flip),b,10774,a),flip(a)]. 10776 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(37,a,2756,a(flip),b,10774,a),flip(a)]. 10777 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(123,a,10774,a(flip),b,6241,a)]. 10778 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(10774(a,1),785(a,2,1,1))]. 10779 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(15(a,1),10775(a,1,1))]. 10780 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(10779(a,1),5344(a,1,2)),flip(a)]. 10781 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(285,a,5344,a(flip),b,10780,a),flip(a)]. 10782 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(14(a,1),10781(a,1,1,1)),flip(a)]. 10783 K(x \ ((y / x) \ 1),y) = K(y \ 1,y). [para(90(a,1),10781(a,1,1,1))]. 10784 K((x * y) \ 1,1 \ (x * y)) = K(y \ (x \ 1),x * y). [para(78(a,2),10782(a,1,2))]. 10785 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(90(a,1),10776(a,1,2,2))]. 10786 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(10785(a,2),2622(a,1,2))]. 10787 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(7158(a,1),10786(a,1,2))]. 10788 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(6702(a,1),10787(a,1,2))]. 10789 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(87(a,1),10788(a,1,2,1,1)),flip(a)]. 10791 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(285,a,10774,a(flip),b,10789,a),flip(a)]. 10792 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(10791(a,1),3614(a,1,1))]. 10793 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(38,a,6884,a,b,10792,a)]. 10794 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(10793(a,1),6240(a,1,1))]. 10795 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5119(a,2),6823(a,1,2,1,2)),flip(a)]. 10796 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6958(a,1,2))]. 10797 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(285,a,5798,a(flip),b,10796,a),flip(a)]. 10798 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(9081(a,1),10797(a,1,1,1,1))]. 10799 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7045(a,1),10798(a,1,1))]. 10801 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9221(a,1),10799(a,1,1))]. 10802 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),7426(a,1,2,2))]. 10803 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(8781,a,8784,a),flip(a)]. 10804 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(87(a,1),10803(a,1,2,1,2,1)),flip(a)]. 10805 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(285,a,8780,a(flip),b,8925,a),flip(a)]. 10806 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8357(a,1),10805(a,1,2,1,2,1))]. 10807 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(z,u) \ 1)). [para(9312(a,2),9321(a,2,2,1,1))]. 10808 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6086(a,1),9413(a,1,1,2))]. 10809 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(285,a,9943,a(flip),b,9553,a),flip(a)]. 10811 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,6392,a(flip),b,10809,a),flip(a)]. 10812 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6385(a,1),10811(a,1,2,2))]. 10813 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [hyper(285,a,10324,a(flip),b,10446,a),flip(a)]. 10814 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [hyper(285,a,6632,a(flip),b,10813,a),flip(a)]. 10815 T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7587(a,1),10802(a,1,2))]. 10816 T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). [hyper(66,a,10181,a(flip),b,10815,a)]. 10818 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(66,a,10275,a(flip),b,10816,a),flip(a)]. 10819 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(u,z))). [para(5320(a,1),10807(a,2,2,2))]. 10820 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(y * K(z,u),T(u,z)) \ 1). [hyper(285,a,8412,a(flip),b,10819,a),flip(a)]. 10821 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(T(u,z) \ (y * u)) \ 1). [para(7457(a,1),10820(a,2,2,1))]. 10822 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(y * u) \ T(u,z)). [hyper(285,a,6392,a(flip),b,10821,a),flip(a)]. 10823 T(K(x,T(K(y,z) / u,T(u,y))),y) = K(x,(u * y) \ T(y,z)). [hyper(66,a,9780,a(flip),b,10822,a)]. 10824 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8302(a,1),10808(a,1,2))]. 10825 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7881(a,1),10824(a,1,2))]. 10827 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10825(a,1),8275(a,1,2,2))]. 10828 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(66,a,8300,a(flip),b,10827,a),flip(a)]. 10830 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(285,a,8460,a(flip),b,10828,a),flip(a)]. 10832 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(8888(a,1),6667(a,1,1))]. 10833 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(15(a,1),10832(a,1,2,2)),flip(a)]. 10835 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(5190(a,2),10833(a,2,2))]. 10836 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(285,a,5101,a(flip),b,10835,a),flip(a)]. 10837 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,10836,a),flip(a)]. 10838 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(10836(a,2),4935(a,1))]. 10839 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10837(a,1,1,3))]. 10840 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(285,a,8027,a(flip),b,6847,a),flip(a)]. 10841 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(6181(a,1),10840(a,1,1))]. 10842 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(66,a,8027,a(flip),b,10841,a),flip(a)]. 10843 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(66,a,9962,a(flip),b,10842,a),flip(a)]. 10845 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(66,a,8046,a,b,10843,a)]. 10846 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(66,a,10616,a(flip),b,10845,a)]. 10847 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(66,a,626,a(flip),b,10846,a)]. 10849 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(66,a,9227,a(flip),b,10847,a)]. 10850 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(66,a,10486,a,b,10849,a)]. 10851 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(90(a,1),10850(a,1,2,2,1)),flip(a)]. 10852 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(10851(a,1),7986(a,1,1))]. 10854 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(66,a,7998,a(flip),b,10852,a)]. 10855 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(10852(a,1),9644(a,1))]. 10856 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(66,a,9589,a(flip),b,10854,a)]. 10857 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,9481,a(flip),b,10854,a),flip(a)]. 10858 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(66,a,9391,a,b,10856,a)]. 10859 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(60,a,10856,a)]. 10860 K(x,((x * y) / z) \ x) = K(x,z / y). [para(14(a,1),10856(a,1,2,2)),flip(a)]. 10861 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10856(a,1),6101(a,1,1))]. 10862 K(x,((y * x) / z) \ x) = K(x,z / y). [hyper(66,a,7595,a,b,10860,a)]. 10863 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(87(a,1),10860(a,1,2,1)),flip(a)]. 10864 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(4179(a,1),10860(a,1,2,1))]. 10865 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(7653(a,1),10860(a,1,2,1))]. 10866 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(658(a,1),10863(a,1,2,1,2))]. 10867 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10858(a,2),7682(a,2,1)),flip(a)]. 10868 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5760,a,10859,a)]. 10869 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(66,a,9602,a,b,10868,a)]. 10870 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5046(a,1),10857(a,1,2,1))]. 10871 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,6640,a(flip),b,10870,a)]. 10872 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1245(a,1),10871(a,1,2)),flip(a)]. 10873 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(66,a,10535,a(flip),b,10866,a)]. 10874 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(9392,a,10867,a)]. 10875 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [hyper(124,a,10874,a(flip),b,5125,a(flip))]. 10876 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5180,a,10875,a),flip(a)]. 10877 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10875(a,1),5180(a,1))]. 10878 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(66,a,9273,a(flip),b,10876,a),flip(a)]. 10879 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(87(a,1),10878(a,1,2,1,1)),flip(a)]. 10880 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(66,a,6640,a(flip),b,10865,a)]. 10881 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(9141,a,10880,a)]. 10882 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(27(a,2),10881(a,1,2,2))]. 10883 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(66,a,8143,a(flip),b,10882,a),flip(a)]. 10884 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(66,a,10864,a,b,10883,a)]. 10885 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(118(a,1),10884(a,2,2,2))]. 10886 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(66,a,6640,a(flip),b,10885,a)]. 10887 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(66,a,10850,a(flip),b,10886,a)]. 10888 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,10887,a),flip(a)]. 10889 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6126(a,1),10888(a,1,2))]. 10890 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(66,a,8794,a(flip),b,10889,a),flip(a)]. 10891 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6848(a,1,2))]. 10892 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(285,a,9008,a(flip),b,7388,a),flip(a)]. 10894 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5289(a,1),10892(a,2,2,2))]. 10895 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(187(a,1),10894(a,2,2))]. 10897 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(285,a,13,a(flip),b,10895,a),flip(a)]. 10899 R(x,K(y,z),R(z,u,w)) = x. [para(7383(a,1),10897(a,1,3))]. 10900 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10899,a)]. 10902 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(9344(a,2),10900(a,1,2))]. 10903 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(285,a,16,a(flip),b,7389,a),flip(a)]. 10905 R(x,K(y,z),L(z,u,w)) = x. [para(7384(a,1),10903(a,1,3))]. 10906 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10905,a)]. 10909 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7776(a,1),10905(a,1,2))]. 10910 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(66,a,7425,a(flip),b,10909,a)]. 10911 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(66,a,3247,a(flip),b,10906,a),flip(a)]. 10912 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9217(a,1),10910(a,1,2)),flip(a)]. 10913 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(10912(a,1),10320(a,2,1))]. 10914 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(285,a,9203,a(flip),b,10913,a),flip(a)]. 10916 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8961(a,1),10914(a,1,2,1))]. 10918 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7884(a,1),9367(a,1,1,2))]. 10919 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K(u \ (L(y,z,x) * (x * z)),y). [hyper(285,a,9815,a(flip),b,9496,a),flip(a)]. 10920 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (L(z,y,x) * (x * y)),z). [hyper(66,a,9721,a(flip),b,10919,a)]. 10921 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (y * z)),y). [hyper(66,a,10599,a(flip),b,10920,a),flip(a)]. 10923 K((K(x,L(y,z,u) / w) * L(y,z,u)) / w,y) = K((x * (1 / (w / L(y,z,u)))) / x,y). [para(5708(a,1),9563(a,1,1,1,1))]. 10924 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5770,a,10727,a)]. 10925 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6182(a,1),10778(a,1,1,2))]. 10927 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(10774(a,1),10925(a,1,1))]. 10928 (x \ (((x * y) \ 1) \ 1)) / z != ((x \ (((x * y) \ 1) \ 1)) / y) * u | u \ y = z. [para(10927(a,1),48(a,1)),flip(a)]. 10929 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(10777(a,1),10927(a,2,1))]. 10930 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(66,a,10794,a(flip),b,10929,a),flip(a)]. 10931 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,6241,a(flip),b,10930,a)]. 10932 (((x * y) \ 1) \ 1) * K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,6068,a(flip),b,10930,a)]. 10933 (x * y) * ((y * x) * (1 / (x * y))) = ((y * x) \ 1) \ 1. [hyper(66,a,5880,a,b,10932,a)]. 10935 T(x * y,(y * x) \ 1) = ((x * y) \ 1) \ 1. [hyper(66,a,5885,a(flip),b,10933,a)]. 10936 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,5876,a(flip),b,10935,a)]. 10937 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(89(a,1),10891(a,2,1))]. 10938 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(5254(a,2),10937(a,2,2,2))]. 10939 K(L(x,x \ 1,y),z) = K(x,z). [hyper(344,a,10938,a),flip(a)]. 10940 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(66,a,8009,a(flip),b,10939,a),flip(a)]. 10941 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(66,a,7990,a(flip),b,10940,a),flip(a)]. 10942 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(10940(a,2),9140(a,1))]. 10944 L(K(x,y),K(z,x),u) = K(x,y). [hyper(66,a,8733,a(flip),b,10941,a)]. 10946 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(124,a,10944,a(flip),b,23,a(flip))]. 10947 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(10944(a,1),34(a,1,1)),flip(a)]. 10948 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(10944(a,1),410(a,1,2,1))]. 10949 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10944(a,1),411(a,1,2,1))]. 10952 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(32(a,2),10942(a,1,2))]. 10953 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(118(a,1),10942(a,1,1))]. 10954 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(118(a,1),10942(a,1,2))]. 10955 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(208(a,1),10942(a,1,1))]. 10956 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(197(a,1),10942(a,1,1))]. 10958 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(5617(a,1),10942(a,1,1))]. 10959 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7697(a,1),10942(a,1))]. 10960 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7761(a,1),10942(a,1))]. 10961 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(10940(a,1),10942(a,1))]. 10962 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(118(a,1),10960(a,1,2,1))]. 10963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7694(a,1),10960(a,1))]. 10964 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7994(a,1),10960(a,1))]. 10965 K((x \ 1) * y,T(T(z,y),x)) != u | K((x \ 1) * y,z) = u. [para(8353(a,1),10960(a,1))]. 10966 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(169(a,1),10953(a,1,2))]. 10967 K((x \ y) \ 1,T(z,y)) != u | K(x / y,z) = u. [para(6468(a,2),10953(a,1))]. 10968 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(7681(a,1),10953(a,1))]. 10970 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8270(a,2),10953(a,1))]. 10974 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(197(a,1),10959(a,1,1))]. 10975 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7761(a,1),10959(a,1))]. 10978 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(19(a,2),10962(a,1,2,1))]. 10982 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7695(a,1),10963(a,1))]. 10983 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9402(a,1),10963(a,1))]. 10988 K((L(x,y,z) * u) / w,T(x,u)) != v5 | K(w \ (L(x,y,z) * u),x) = v5. [para(9813(a,1),10964(a,1))]. 10989 K(x \ (y * (z * u)),z) != w | K(x \ (y * (u * z)),z) = w. [para(10590(a,1),10964(a,1))]. 10990 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(8067(a,1),10968(a,1))]. 10991 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8907(a,2),10975(a,1))]. 10994 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(5828(a,2),10990(a,1))]. 10996 K(x \ (x * y),z) != u | K(y,z) = u. [para(342(a,1),10961(a,1,1))]. 10997 K((x / y) \ x,z) != u | K(y,z) = u. [para(17(a,1),10996(a,1,1,2))]. 11000 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8013(a,1),10996(a,1))]. 11001 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(7994(a,1),10997(a,1))]. 11003 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5149(a,1),11000(a,1,1))]. 11008 K(x,T(y,z / x)) != u | K(x,T(y,z)) = u. [para(8017(a,1),11001(a,1))]. 11009 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(6516(a,2),11003(a,1))]. 11011 K((x \ y) * K(z,y / x),u) != w | K(x \ y,T(u,T(z,x))) = w. [para(8014(a,1),11003(a,1,1,2))]. 11018 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8413(a,1),11008(a,1))]. 11019 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(10074(a,1),11018(a,1))]. 11020 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8246(a,2),11019(a,1))]. 11021 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(10086(a,1),11019(a,1))]. 11024 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(10947(a,1),7413(a,1,2)),flip(a)]. 11025 K(((x / y) * x) \ (y * (x / y)),z) != u | K(y / x,z) = u. [para(7813(a,2),10967(a,1))]. 11026 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7409,a,10946,a)]. 11027 R(x,K(y,z),K(z,u)) = x. [hyper(475,a,10946,a)]. 11030 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2229(a,2),10946(a,2,2))]. 11031 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(285,a,7396,a(flip),b,11027,a),flip(a)]. 11033 R(x,T(K(y,z),u),K(z,w)) = x. [para(1403(a,1),11027(a,1,2))]. 11034 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(11027(a,1),2528(a,1,1,1))]. 11037 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5949(a,1),11027(a,1,3))]. 11038 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5981(a,1),11027(a,1,2))]. 11039 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6094(a,1),11027(a,1,3))]. 11040 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6010(a,1),11033(a,1,3))]. 11041 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(11037(a,1),54(a,2))]. 11042 R(x,K(y,z),L(R(K(z,u),w,v5),v6,v7)) = x. [para(6094(a,1),11037(a,1,3,1))]. 11043 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(11038(a,1),463(a,1,1))]. 11044 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(11038(a,1),498(a,1,1))]. 11045 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(11039(a,1),54(a,2))]. 11046 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(11040(a,1),847(a,1,1)),flip(a)]. 11047 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(11040(a,1),7373(a,1)),flip(a)]. 11049 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5697(a,1),11031(a,1,1))]. 11050 L(K(x,y),K(z,y),u) = K(x,y). [hyper(7562,a,11026,a)]. 11051 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2229(a,2),11026(a,1,1,2))]. 11052 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [hyper(124,a,11050,a(flip),b,23,a(flip))]. 11053 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(11050(a,1),7413(a,1,2)),flip(a)]. 11054 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(224,a,11030,a,b,582,a)]. 11055 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(66,a,10757,a(flip),b,11030,a)]. 11056 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(7392(a,1),11030(a,1,1)),flip(a)]. 11057 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7403(a,1),11030(a,1,1)),flip(a)]. 11058 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(38,a,11026,a,b,11051,a(flip))]. 11061 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(11051(a,1),7422(a,1,1))]. 11062 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7347(a,1),11053(a,1,2))]. 11063 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(128,a,11056,a)]. 11064 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(390,a,11058,a)]. 11066 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(11058(a,1),294(a,1,1)),flip(b)]. 11067 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(66,a,11052,a,b,11062,a)]. 11068 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7682(a,1),11063(a,1,1))]. 11069 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(7409,a,11067,a),flip(a)]. 11070 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(38,a,11051,a,b,11067,a),flip(a)]. 11071 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(11067(a,1),7417(a,1,1)),flip(a)]. 11072 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(123,a,11069,a(flip),b,7432,a)]. 11073 R(x,K(y,z),K(u,y)) = x. [hyper(475,a,11070,a)]. 11074 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3018(a,1),11070(a,1,1))]. 11080 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9017(a,2),10952(a,1))]. 11081 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(7014(a,1),11080(a,1))]. 11083 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8045(a,1),10983(a,1))]. 11084 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9724(a,1),10983(a,1))]. 11085 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7761(a,1),11068(a,2,2))]. 11086 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7380,a,11071,a)]. 11087 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(66,a,6348,a(flip),b,11072,a)]. 11088 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7682(a,1),11085(a,1,2))]. 11089 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(285,a,7385,a(flip),b,11086,a),flip(a)]. 11090 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(7408(a,1),11087(a,1,1)),flip(a)]. 11091 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(66,a,7809,a(flip),b,11090,a)]. 11092 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(285,a,11057,a,b,11091,a)]. 11093 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3193(a,2),11089(a,2,2))]. 11094 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5670(a,1),11092(a,2,2))]. 11095 K(x \ (L(y,z,u) * (u * z)),y) != w | K(x \ (u * (z * y)),y) = w. [para(10921(a,2),10989(a,1))]. 11096 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5149(a,2),11009(a,1,2,1))]. 11098 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(11069(a,2),11061(a,1))]. 11099 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2233(a,2),10948(a,2,2))]. 11100 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(7392(a,1),10948(a,1,1)),flip(a)]. 11101 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(123,a,7532,a(flip),b,11024,a)]. 11102 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(7557(a,1),11043(a,1,1))]. 11103 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(285,a,2238,a(flip),b,11102,a),flip(a)]. 11104 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(838(a,1),10994(a,1,1,2))]. 11105 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7416,a,11044,a)]. 11106 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(285,a,2238,a(flip),b,11105,a),flip(a)]. 11107 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7392(a,1),11106(a,1,2)),flip(a)]. 11108 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7587(a,1),11107(a,1,2))]. 11109 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5662,a,11108,a)]. 11110 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5452,a,11108,a)]. 11111 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2241,a,11108,a)]. 11112 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(653,a,11108,a)]. 11113 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [hyper(66,a,9753,a,b,11108,a)]. 11114 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(66,a,6128,a,b,11108,a)]. 11115 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(124,a,11108,a(flip),b,6128,a)]. 11116 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(124,a,11108,a(flip),b,5514,a),flip(a)]. 11117 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5946(a,1),11108(a,1,2))]. 11118 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6653(a,1),11108(a,1,2))]. 11119 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(11108(a,1),6949(a,1,1)),flip(a)]. 11121 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(11110(a,1),5453(a,1,2)),flip(b)]. 11123 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(11110(a,1),8300(a,1,2,2,2)),flip(a)]. 11124 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(66,a,11044,a,b,11111,a)]. 11126 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6648(a,1),11111(a,1,1))]. 11127 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6814(a,1),11115(a,1,1))]. 11128 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(66,a,6881,a,b,11116,a)]. 11129 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(11118(a,1),5098(a,2,2))]. 11130 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(8734(a,1),11126(a,1,1)),flip(a)]. 11131 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(11128(a,1),6311(a,2,2))]. 11133 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6653(a,1),11121(a,1,2))]. 11134 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(66,a,10768,a,b,11119,a)]. 11135 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6127(a,1),11119(a,1,2)),flip(a)]. 11136 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(122,a,5360,a(flip),b,11135,a),flip(a)]. 11137 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(66,a,11134,a(flip),b,11136,a),flip(a)]. 11138 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11137(a,1),138(a,1))]. 11139 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(11112(a,1),7590(a,1,1))]. 11140 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(285,a,5389,a,b,11124,a)]. 11141 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5981(a,1),11117(a,1,1))]. 11142 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(285,a,11111,a(flip),b,11130,a),flip(a)]. 11144 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(7432(a,1),11142(a,1,2))]. 11146 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(7392(a,1),11144(a,1,2)),flip(a)]. 11147 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(7888(a,1),11146(a,1,2))]. 11148 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(66,a,7946,a(flip),b,11147,a)]. 11150 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(11138,a,11139,a)]. 11151 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(285,a,8274,a(flip),b,11123,a),flip(a)]. 11153 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4072,a,11064,a),flip(a)]. 11154 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(9873(a,1),11046(a,1,2)),flip(a)]. 11156 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(9400(a,1),11113(a,1,2))]. 11157 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(66,a,7849,a(flip),b,11129,a)]. 11158 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(30(a,2),11157(a,1,2,2))]. 11159 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(115(a,1),11158(a,1,2,2,1))]. 11161 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(8180(a,1),11131(a,1,1,2))]. 11163 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7954(a,1),10918(a,1,1,2))]. 11164 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5785(a,1),11163(a,1,1,2,2))]. 11165 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7908(a,1),11164(a,1,1,2))]. 11166 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7879(a,1),11165(a,1,1,2)),flip(a)]. 11167 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4495(a,1),11166(a,1,1,2)),flip(a)]. 11168 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8239(a,1),11167(a,1,1)),flip(a)]. 11169 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(11104,a,11168,a),flip(a)]. 11170 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7761(a,1),10924(a,1,1))]. 11171 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5955(a,1),11141(a,1,2))]. 11172 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5981(a,1),11171(a,2,3))]. 11173 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(285,a,7396,a(flip),b,5356,a),flip(a)]. 11174 ((K(x,y) * R(K(y,z),u,w)) \ (v5 * (K(x,y) * R(K(y,z),u,w)))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)) = K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))). [para(10947(a,1),5916(a,1,1,1,2))]. 11175 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6353(a,1),6369(a,1,1,2,1,1)),flip(a)]. 11176 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(14(a,1),11175(a,2,1,2,1))]. 11177 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6353(a,1),11176(a,1,1)),flip(a)]. 11178 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(6756,a,11177,a),flip(a)]. 11179 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * (R(x,y,x) * K(x,u)). [hyper(66,a,9539,a(flip),b,11177,a)]. 11180 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * R(T(x,u),y,x). [para(9085(a,1),11179(a,2,2))]. 11181 T((x / y) * K((L(y,z,u) \ 1) \ (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(8200(a,1),6624(a,1,1,2))]. 11182 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5367(a,1),6771(a,1,1,1))]. 11183 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(32(a,2),11182(a,1,1))]. 11184 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4113(a,1),11183(a,1,2)),flip(a)]. 11185 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(308,a,11184,a),flip(a)]. 11186 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(285,a,7625,a(flip),b,11185,a),flip(a)]. 11187 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(66,a,9926,a,b,11186,a)]. 11188 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(11187(a,1),8589(a,1,1,1)),flip(a)]. 11189 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(285,a,8270,a(flip),b,11188,a),flip(a)]. 11190 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(285,a,8832,a(flip),b,11189,a),flip(a)]. 11191 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9461,a(flip),b,11190,a)]. 11193 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9427,a(flip),b,11191,a)]. 11194 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(10970,a,11193,a),flip(a)]. 11196 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(285,a,9603,a(flip),b,11194,a),flip(a)]. 11197 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(66,a,9666,a,b,11196,a)]. 11199 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(9140,a,7037,a),flip(a)]. 11201 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(285,a,9477,a(flip),b,11199,a),flip(a)]. 11202 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(14(a,1),11201(a,2,2,1,1))]. 11203 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,10619,a(flip),b,11202,a),flip(a)]. 11206 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(4664(a,2),7118(a,1,2,1,2,2))]. 11207 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6793(a,1),7315(a,1,2,2))]. 11208 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(9189(a,1),7536(a,2,2))]. 11209 K(T(x,y) \ 1,z) * K(x \ K(x,y),x * K(y,x)) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(5331(a,1),8282(a,1,2,2))]. 11210 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(5999(a,1),8468(a,1,2,1)),flip(a)]. 11211 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [hyper(285,a,8030,a(flip),b,11210,a)]. 11212 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6005,a(flip),b,11211,a),flip(a)]. 11213 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [hyper(285,a,5721,a,b,11212,a),flip(a)]. 11214 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(4129(a,1),8660(a,1,1))]. 11215 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(9885,a,11214,a)]. 11216 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(285,a,3341,a(flip),b,11215,a),flip(a)]. 11218 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(11216(a,2),9558(a,1))]. 11219 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4228(a,1),8760(a,1,1,1)),flip(a)]. 11220 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4182(a,1),11219(a,2,2,1,2))]. 11221 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(425(a,1),11220(a,2,2))]. 11222 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4228(a,1),11221(a,1,1)),flip(a)]. 11223 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [hyper(285,a,30,a,b,11222,a),flip(a)]. 11224 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(9095(a,1),11223(a,1,1)),flip(a)]. 11225 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [hyper(285,a,8509,a(flip),b,11224,a),flip(a)]. 11227 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(28(a,1),11225(a,1,1,2))]. 11228 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9374(a,1),11225(a,1,1))]. 11229 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [hyper(66,a,11227,a(flip),b,11228,a),flip(a)]. 11230 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [hyper(122,a,11229,a(flip),b,5130,a(flip)),flip(a)]. 11232 K(x,T(x * T(y,z),u * y)) != w | K(x,T(x * T(y,z),u)) = w. [para(11230(a,2),5208(a,1))]. 11233 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7008(a,2),8900(a,2,2,2))]. 11234 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9450(a,1),9449(a,1,2))]. 11235 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5152(a,1),9517(a,1,1))]. 11236 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(647,a,11235,a),flip(a)]. 11237 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11235(a,1),647(a,1))]. 11238 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5516(a,1),11236(a,1,2)),flip(a)]. 11239 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(7940(a,1),9969(a,1,2))]. 11240 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3584(a,1),10221(a,1,2,2))]. 11241 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(9102(a,1),10818(a,2,2))]. 11242 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1426(a,2),11049(a,2,1))]. 11243 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5334(a,1),11074(a,1,1,1))]. 11244 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(17(a,1),11140(a,2,1))]. 11245 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(285,a,7456,a,b,11244,a)]. 11246 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(7396(a,1),11173(a,1,1))]. 11247 T((x / y) * K(L(y,z,u) * (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(9572(a,1),11181(a,1,1,2))]. 11248 T(x / T(y,L(y,z,u) * (y \ x)),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7403(a,1),11247(a,1,1))]. 11249 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = L(x,z,u) \ (x \ (y * L(x,z,u))). [para(7647(a,1),11248(a,1,1))]. 11250 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ (L(x,z,u) \ (y * L(x,z,u))). [hyper(285,a,1255,a(flip),b,11249,a),flip(a)]. 11251 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(27(a,2),11250(a,2,2))]. 11252 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(66,a,10830,a(flip),b,11207,a)]. 11253 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8496(a,1),11252(a,1,2,2))]. 11254 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(66,a,8299,a(flip),b,11253,a),flip(a)]. 11256 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(66,a,7144,a(flip),b,11254,a)]. 11257 K(T(x,y) \ 1,z) * K(T(x \ K(x,y),y),x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8028(a,1),11209(a,1,2))]. 11258 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = K(T(x,y) \ 1,z) * K(x \ 1,x). [para(7763(a,1),11257(a,1,2)),flip(a)]. 11259 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = (x \ K(T(x,y) \ 1,z)) * x. [hyper(285,a,7059,a(flip),b,11258,a),flip(a)]. 11261 T(x \ K(x,y),z) * (x * K(y,x)) = (x \ K(T(x,y) \ 1,z)) * x. [para(5362(a,1),11259(a,1,2))]. 11262 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(285,a,8135,a(flip),b,11233,a),flip(a)]. 11264 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(4596(a,1),11262(a,1,2,2))]. 11265 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(4645(a,1),11264(a,1,2,2))]. 11267 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6585(a,1),11265(a,1,2)),flip(a)]. 11268 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(285,a,11256,a(flip),b,11267,a),flip(a)]. 11270 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(14(a,1),11234(a,1,2,2,2,1))]. 11271 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(11096,a,11270,a),flip(a)]. 11272 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(10955,a,11271,a)]. 11273 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6746,a,b,11272,a)]. 11274 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7940(a,1),11240(a,1,2))]. 11275 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2510(a,1),11243(a,1,1,2)),flip(a)]. 11276 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7401(a,1),11275(a,2,1))]. 11277 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(285,a,10751,a,b,11276,a),flip(a)]. 11278 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2515(a,1),11277(a,1,1,1))]. 11279 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5334(a,1),11278(a,1,1))]. 11280 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(285,a,7940,a,b,11279,a),flip(a)]. 11281 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2229(a,1),11280(a,1,2))]. 11282 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11280(a,2),7953(a,1))]. 11283 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(123,a,11281,a(flip),b,5191,a)]. 11284 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5320(a,1),11246(a,1,2,2,1)),flip(a)]. 11285 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(285,a,11100,a(flip),b,11284,a),flip(a)]. 11286 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(7409,a,11285,a)]. 11288 (1 / x) / (y \ T(1 / x,z)) = (x \ 1) / (y \ T(x \ 1,z)). [hyper(4796,a,6277,a),flip(a)]. 11290 (1 / x) / (((x \ 1) / (y * (x \ 1))) \ T(1 / x,y)) = (x \ 1) / ((x \ 1) * y). [para(7288(a,1),11288(a,2,2))]. 11291 (1 / x) / ((1 / x) * y) = (x \ 1) / ((x \ 1) * y). [para(7356(a,1),11290(a,1,2))]. 11292 (x \ 1) / ((x \ 1) * (x * y)) = (1 / x) / L(y,x,x \ 1). [para(2951(a,1),11291(a,1,2)),flip(a)]. 11293 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(66,a,2120,a(flip),b,7282,a),flip(a)]. 11295 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11293(a,1,1,2,1,2))]. 11296 K(x,y) * (K(y \ 1,y) * ((T(y,x) * (1 / y)) * z)) = L(z,((T(y,x) \ 1) * y) \ 1,(T(y,x) \ 1) * y). [hyper(285,a,5801,a,b,7555,a)]. 11297 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = L(z,T(x,y) * (1 / x),(T(x,y) \ 1) * x). [para(7554(a,1),7555(a,1,2)),flip(a)]. 11298 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6767(a,1),8517(a,1,2))]. 11299 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(66,a,8028,a(flip),b,11298,a)]. 11300 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(404(a,1),11299(a,2,1,1))]. 11301 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(66,a,8251,a(flip),b,11300,a)]. 11302 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(10942,a,11301,a),flip(a)]. 11303 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(285,a,8924,a(flip),b,11302,a),flip(a)]. 11305 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7487,a,9423,a),flip(a)]. 11306 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5381(a,1),11305(a,1,2)),flip(a)]. 11307 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8463(a,1),4962(a,1,2,1,2))]. 11308 K(x \ (1 / y),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(7688(a,1),5886(a,1,1))]. 11309 K(x \ (y \ 1),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(6697(a,1),11308(a,1,1))]. 11310 K(x \ (y \ 1),x) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4060(a,1),11309(a,1,1))]. 11311 K(x \ (y \ 1),x) / (x * (x \ (1 / y))) = 1 / (x * ((1 / y) / x)). [para(4855(a,1),11310(a,1,2))]. 11312 K(x \ (y \ 1),x) / (1 / y) = 1 / (x * ((1 / y) / x)). [para(15(a,1),11311(a,1,2))]. 11314 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),1 / (x * y)). [hyper(66,a,153,a(flip),b,6156,a),flip(a)]. 11316 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),(x * y) \ 1). [para(3645(a,1),11314(a,2,2))]. 11317 1 / L(x,y * K(x,y),(x * y) \ 1) = a((x * y) \ 1,y,x) / x. [para(10251(a,1),11316(a,1,1)),flip(a)]. 11318 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(15(a,1),6186(a,1,2,1,1,2)),flip(a)]. 11319 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6496(a,1),11318(a,2,2))]. 11320 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6482(a,1),11319(a,2,2))]. 11321 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5146(a,1),11320(a,1,1))]. 11323 (x * (T(y \ 1,z) * y)) \ ((T(y \ 1,z) * y) * x) = K(K(y \ 1,z),K(y \ 1,y) * x). [para(6229(a,1),6227(a,1,1))]. 11324 K(K(x \ 1,y),K(x \ 1,x) * z) = K(T(x \ 1,y) * x,z). [hyper(310,a,11323,a),flip(a)]. 11326 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(T(y \ 1,x) * y,z). [hyper(66,a,7883,a(flip),b,11324,a)]. 11327 K(T(x \ 1,y) * x,z) = K(y,K(x \ 1,z)). [para(3121(a,1),11326(a,1,2)),flip(a)]. 11328 K(T(x \ 1,y) * x,z) = K(y,K(z,x \ 1)). [hyper(285,a,7908,a,b,11327,a),flip(a)]. 11331 (T(x \ 1,y) * x) * K(y,K(z,x \ 1)) = T(T(x \ 1,y) * x,z). [hyper(124,a,11328,a(flip),b,5125,a(flip))]. 11332 ((T(x \ 1,y) * x) * z) \ (z * (T(x \ 1,y) * x)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(6229(a,1),6228(a,1,2))]. 11333 K(K(x \ 1,x) * y,K(x \ 1,z)) = K(y,T(x \ 1,z) * x). [hyper(310,a,11332,a),flip(a)]. 11335 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(z,T(y \ 1,x) * y). [hyper(66,a,7859,a,b,11333,a)]. 11336 K(x,T(y \ 1,z) * y) = K(z,K(y \ 1,x)). [para(3121(a,1),11335(a,1,2)),flip(a)]. 11337 K(x,T(y \ 1,z) * y) = K(z,K(x,y \ 1)). [hyper(285,a,7908,a,b,11336,a),flip(a)]. 11340 (T(x \ 1,y) * x) * K(z,T(x \ 1,y) * x) = T(T(x \ 1,y) * x,z). [para(11337(a,2),11331(a,1,2))]. 11341 (x * (T(y \ 1,z) * y)) / x = T(T(y \ 1,z) * y,x). [hyper(5409,a,11340,a)]. 11342 T(x \ K(x,y),z) * ((y * x) / y) = T(T(x \ 1,z) * x,y). [hyper(66,a,7063,a,b,11341,a)]. 11343 T(x \ K(x,y),z) * (x * K(y,x)) = T(T(x \ 1,z) * x,y). [hyper(66,a,5370,a(flip),b,11342,a)]. 11344 (x \ K(T(x,y) \ 1,z)) * x = T(T(x \ 1,z) * x,y). [hyper(66,a,11261,a(flip),b,11343,a)]. 11345 T(T(x \ 1,y),K(y,z)) * x = T(T(x \ 1,y) * x,z). [hyper(9809,a,11344,a)]. 11346 T(T(x \ 1,x) * x,y) = T(x \ 1,x) * x. [para(1385(a,1),11345(a,1,1)),flip(a)]. 11347 x / (T(y \ 1,y) * y) = (T(y \ 1,y) * y) \ x. [para(11346(a,1),249(a,1,2))]. 11348 K((T((x \ y) \ 1,x \ y) * (x \ y)) \ (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(11347(a,1),9904(a,1,1))]. 11349 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(14(a,1),6454(a,2,2,2,1))]. 11350 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(123,a,11161,a(flip),b,11349,a)]. 11352 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(7399(a,1),11350(a,2,2,1))]. 11353 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(285,a,11099,a(flip),b,11352,a),flip(a)]. 11355 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(11111(a,1),11353(a,2,2))]. 11356 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3747,a,11355,a)]. 11357 T(x,a(y,z,K(x,u))) = x. [hyper(250,a,11356,a)]. 11358 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11357(a,1),7682(a,1,2,2)),flip(a)]. 11359 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(285,a,11137,a,b,11358,a)]. 11360 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11359(a,2),46(a,1))]. 11361 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1080(a,1),7244(a,2,1))]. 11362 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(66,a,11361,a(flip),b,7245,a),flip(a)]. 11363 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1080(a,1),11362(a,1,1)),flip(a)]. 11364 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(7533(a,1),7543(a,1,1,1))]. 11365 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(285,a,8100,a(flip),b,9037,a),flip(a)]. 11366 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(285,a,6918,a(flip),b,11365,a),flip(a)]. 11367 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(90(a,1),11366(a,1,1,1)),flip(a)]. 11368 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11367,a),flip(a)]. 11369 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(9073(a,1),11368(a,1,2)),flip(a)]. 11370 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11369,a),flip(a)]. 11371 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(285,a,6404,a(flip),b,9146,a),flip(a)]. 11372 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(14(a,1),11371(a,2,2))]. 11373 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6548,a,11372,a)]. 11374 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(14(a,1),11373(a,1,2))]. 11375 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(66,a,9050,a(flip),b,11374,a)]. 11376 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(103(a,1),9698(a,1,2)),flip(a)]. 11377 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(285,a,442,a(flip),b,11376,a)]. 11378 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(11000,a,10814,a)]. 11379 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(66,a,10324,a(flip),b,11378,a)]. 11380 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [hyper(66,a,6632,a(flip),b,11379,a),flip(a)]. 11381 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K((x \ 1) \ 1,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(3341(a,2),11206(a,1,2,1,2,2))]. 11382 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,7147,a(flip),b,11273,a)]. 11383 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7940(a,1),11283(a,1,1))]. 11384 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5618(a,1),11307(a,1,2,1)),flip(a)]. 11385 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4566(a,1),11384(a,1,2))]. 11387 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(66,a,7065,a,b,11385,a)]. 11389 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(285,a,5615,a(flip),b,11387,a),flip(a)]. 11390 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(66,a,9777,a(flip),b,11389,a)]. 11391 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(124,a,11390,a(flip),b,5125,a(flip))]. 11392 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(6375,a,11391,a)]. 11393 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5452,a,11392,a)]. 11394 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10214(a,2),11393(a,1,2))]. 11395 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(7499,a,11394,a)]. 11396 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(7409,a,11395,a)]. 11397 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(66,a,6346,a(flip),b,11396,a)]. 11398 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(16(a,1),11397(a,1,2,1,2)),flip(a)]. 11399 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(16(a,1),11398(a,1,2)),flip(a)]. 11400 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(66,a,7291,a(flip),b,11399,a),flip(a)]. 11401 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(17(a,1),11400(a,2,2,1))]. 11402 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(11400(a,2),7941(a,1,2))]. 11403 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(118(a,1),11401(a,2,1))]. 11404 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6166(a,1),11403(a,1,1,2))]. 11405 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(9407(a,1),11404(a,1,1))]. 11406 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(630,a,11405,a),flip(a)]. 11407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(285,a,8540,a(flip),b,11402,a),flip(a)]. 11408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(285,a,8404,a(flip),b,11407,a),flip(a)]. 11409 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6695,a(flip),b,11382,a)]. 11410 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(8452,a,11409,a)]. 11411 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(242(a,1),11410(a,1,1))]. 11412 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(6657,a,11411,a)]. 11414 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(66,a,8162,a(flip),b,11412,a)]. 11415 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(14(a,1),11414(a,1,2,2))]. 11416 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(11000,a,11415,a)]. 11417 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(66,a,8752,a(flip),b,11416,a)]. 11418 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(285,a,10858,a(flip),b,11417,a),flip(a)]. 11419 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(14(a,1),11418(a,1,2,1,1)),flip(a)]. 11420 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4197(a,1),11419(a,1,2,1)),flip(a)]. 11421 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(66,a,10404,a(flip),b,11420,a),flip(a)]. 11422 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(66,a,10860,a(flip),b,11421,a),flip(a)]. 11423 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,11422,a),flip(a)]. 11424 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(66,a,8643,a(flip),b,11423,a)]. 11426 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11424(a,2),10956(a,1))]. 11428 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5219(a,1),6159(a,1,2))]. 11429 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11428(a,1),10519(a,1,2,2))]. 11430 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(6711(a,1),6830(a,1,1,2))]. 11431 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(285,a,7393,a(flip),b,6832,a),flip(a)]. 11432 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(285,a,11030,a(flip),b,11431,a),flip(a)]. 11433 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(7285(a,1),7295(a,2,2,1,1))]. 11434 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(285,a,2570,a(flip),b,11433,a),flip(a)]. 11435 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1635(a,1),11434(a,2,1))]. 11436 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4113(a,1),11435(a,1,1,2,1))]. 11437 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4128(a,1),11436(a,1,1))]. 11438 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9078(a,1),11437(a,1,1)),flip(a)]. 11439 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(5008(a,1),8808(a,2,1,1))]. 11440 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(216(a,1),9410(a,1,1)),flip(a)]. 11441 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7940(a,1),11440(a,2,1,1))]. 11442 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(285,a,30,a,b,11441,a),flip(a)]. 11443 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11073,a(flip),b,11442,a),flip(a)]. 11445 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10801(a,1),9459(a,1,1,2))]. 11446 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(10902(a,1),11445(a,1,1))]. 11447 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(32(a,2),11446(a,1,2))]. 11448 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(255(a,1),11447(a,1,2,1))]. 11449 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,10527,a(flip),b,11448,a)]. 11450 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = K(z,y) * (K(y,z) * x). [para(5417(a,1),11296(a,1,2)),flip(a)]. 11451 L(x,K(y,z),K(z,y)) = L(x,((T(u,w) \ 1) * u) \ 1,(T(u,w) \ 1) * u) # label(flip_matches_hint). [hyper(285,a,5461,a,b,11450,a)]. 11453 L(x,K(y,z),K(z,y)) = L(x,T(u,w) * (1 / u),(T(u,w) \ 1) * u) # label(flip_matches_hint). [para(7554(a,1),11451(a,2,2))]. 11454 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = x. [hyper(5366,a,11453,a),flip(a)]. 11455 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = z. [hyper(66,a,11297,a,b,11454,a)]. 11456 (T(x,y) * (1 / x)) \ z = ((T(x,y) \ 1) * x) * z. [hyper(303,a,11455,a),flip(a)]. 11458 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(14(a,1),11306(a,2,1,1))]. 11459 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(285,a,9836,a(flip),b,11458,a),flip(a)]. 11461 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(14(a,1),11459(a,1,1,1))]. 11462 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(14(a,1),11461(a,1,2,2))]. 11463 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5981(a,1),11462(a,1,2,1,3))]. 11464 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(90(a,1),11430(a,1,1,2,1,2,1))]. 11465 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(9933(a,1),11439(a,2,1,1))]. 11466 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5144(a,1),11465(a,2,1))]. 11468 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9781(a,1),11466(a,1,2,1))]. 11469 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9774(a,1),11468(a,1,2,1))]. 11470 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(86(a,1),11469(a,1,2,1,2,1))]. 11471 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4784(a,1),4882(a,1,1,2))]. 11472 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5334(a,1),6266(a,1,1,2))]. 11473 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = K((z * y) \ x,x \ (z * y)). [hyper(285,a,5964,a(flip),b,7054,a),flip(a)]. 11474 K((x / y) / z,z / (x / y)) = K((z * y) \ x,x \ (z * y)). [hyper(5778,a,11473,a)]. 11475 K((x * y) \ z,z \ (x * y)) = K(x \ (z / y),(z / y) \ x). [hyper(8069,a,11474,a),flip(a)]. 11476 K(x \ (1 / y),(1 / y) \ x) = K(y \ (x \ 1),x * y). [hyper(66,a,10784,a(flip),b,11475,a),flip(a)]. 11477 (1 / x) * (1 / (1 / ((1 / x) \ y))) = y * K(x \ (y \ 1),y * x). [para(11476(a,1),2627(a,1,2)),flip(a)]. 11478 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(x \ ((y / x) \ 1),y). [para(17(a,1),11477(a,2,2,2))]. 11479 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(y \ 1,y). [para(10783(a,1),11478(a,2,2))]. 11480 x \ (1 / (1 / (x * (y / x)))) = (y / x) * K(y \ 1,y). [hyper(66,a,7306,a(flip),b,11479,a)]. 11482 x * (K(y \ 1,y) * (y / x)) = 1 / (1 / (x * (y / x))). [hyper(2418,a,11480,a)]. 11483 1 / (1 / (x * (y / x))) = x * ((1 / (1 / y)) / x). [para(3719(a,1),11482(a,1,2)),flip(a)]. 11484 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [hyper(11232,a,8856,a)]. 11485 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6629,a(flip),b,11484,a),flip(a)]. 11486 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7643(a,1),11485(a,1,2,2,2))]. 11487 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7639(a,1),11486(a,1,2))]. 11489 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),9489(a,1,1,2))]. 11490 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(285,a,9086,a(flip),b,10525,a),flip(a)]. 11492 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(285,a,10524,a(flip),b,11490,a),flip(a)]. 11494 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5133(a,1),10795(a,2,2,1))]. 11497 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(11494(a,2),6558(a,1))]. 11498 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(285,a,3341,a(flip),b,11239,a),flip(a)]. 11499 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(285,a,7693,a(flip),b,11498,a),flip(a)]. 11500 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(285,a,7196,a(flip),b,11499,a),flip(a)]. 11501 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(7940(a,1),11500(a,1,2))]. 11502 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4885,a,11471,a)]. 11503 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(10900(a,1),11472(a,1,1))]. 11504 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),11489(a,1,1,2,1))]. 11505 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(5015,a,11502,a),flip(a)]. 11506 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3654,a,11505,a),flip(a)]. 11508 a(x,y,1 / z) = a(x,y,z \ 1). [para(1103(a,1),11506(a,1,3)),flip(a)]. 11510 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11504(a,1,1))]. 11511 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11510(a,1,1,2))]. 11512 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(9289(a,1),11511(a,1,1,2,2))]. 11513 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(7563,a,11512,a),flip(a)]. 11514 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(285,a,6897,a(flip),b,11513,a),flip(a)]. 11515 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(66,a,9656,a(flip),b,11514,a),flip(a)]. 11516 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),6869(a,1,1,2))]. 11517 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),11516(a,1,2,1))]. 11518 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(23(a,2),11517(a,2,1,2))]. 11519 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5785(a,2),9368(a,1,1,1,2))]. 11520 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(10335(a,1),10764(a,1,1,1,2)),flip(a)]. 11521 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(285,a,10761,a(flip),b,11520,a),flip(a)]. 11523 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(285,a,7968,a,b,11521,a),flip(a)]. 11524 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),11521(a,1,2,2)),flip(a)]. 11525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(112(a,1),11521(a,1,2,2))]. 11526 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(66,a,8449,a,b,11524,a)]. 11528 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(66,a,9520,a(flip),b,11526,a),flip(a)]. 11529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(66,a,10440,a,b,11525,a)]. 11530 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K((x \ y) \ 1,T(z,(y / x) * u)). [para(5745(a,1),11525(a,1,2))]. 11531 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(118(a,1),11529(a,1,2)),flip(a)]. 11532 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8234,a,11523,a)]. 11533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(15(a,1),11532(a,1,2,2)),flip(a)]. 11534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(112(a,1),11532(a,1,2,2))]. 11535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10120,a,b,11533,a)]. 11536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(90(a,1),11535(a,1,2,2)),flip(a)]. 11537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10118,a(flip),b,11536,a),flip(a)]. 11538 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(11537(a,1),10149(a,1,2))]. 11539 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(66,a,7881,a,b,11534,a)]. 11540 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(285,a,7881,a,b,11539,a),flip(a)]. 11541 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(285,a,7935,a(flip),b,11539,a),flip(a)]. 11542 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(11541(a,1),8478(a,1,1,1,1))]. 11543 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(8277(a,2),11540(a,1,2))]. 11545 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(118(a,1),11528(a,1,2)),flip(a)]. 11546 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(66,a,8224,a(flip),b,11545,a)]. 11547 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(66,a,9536,a(flip),b,11546,a)]. 11548 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(112(a,1),11547(a,1,2,2)),flip(a)]. 11549 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7884(a,1),11538(a,1,2))]. 11551 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(10078(a,1),11549(a,2,1))]. 11552 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K(y \ x,T(z,(y / x) * u)). [hyper(285,a,6468,a(flip),b,11530,a),flip(a)]. 11553 K(x \ y,T(z,(x / y) * u)) = K((y \ x) \ 1,T(z,u)). [hyper(66,a,10147,a(flip),b,11552,a),flip(a)]. 11555 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u)). [hyper(285,a,6468,a(flip),b,11553,a),flip(a)]. 11556 K(x \ y,T(z,u * (x / y))) = K(x \ y,T(z,u)). [hyper(66,a,9786,a(flip),b,11555,a)]. 11557 K(((x / y) * x) \ (y * (x / y)),T(z,u * (y \ x))) = K(((x / y) * x) \ (y * (x / y)),T(z,u)). [para(4287(a,1),11556(a,1,2,2,2))]. 11558 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(7875(a,1),11542(a,1,1)),flip(a)]. 11559 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(66,a,7101,a,b,11558,a),flip(a)]. 11560 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(285,a,6468,a(flip),b,11559,a),flip(a)]. 11561 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(285,a,9848,a(flip),b,11560,a),flip(a)]. 11562 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(66,a,11558,a,b,11561,a)]. 11563 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(285,a,7772,a(flip),b,11562,a),flip(a)]. 11564 K(((x / y) * x) \ (y * (x / y)),T(z,u)) = K(y / x,T(z,u * (y \ x))). [hyper(11025,a,11557,a),flip(a)]. 11565 K(x / y,T(z,u * (x \ y))) = K(x / y,T(z,u)). [hyper(11025,a,11564,a),flip(a)]. 11566 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10839(a,1,2,1))]. 11567 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(66,a,9200,a(flip),b,11429,a),flip(a)]. 11569 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(66,a,7881,a,b,11567,a)]. 11570 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10499(a,1),11569(a,1,2))]. 11571 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,10496,a(flip),b,11570,a)]. 11572 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(7940(a,1),11519(a,1,1,1))]. 11573 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(10838,a,11566,a),flip(a)]. 11575 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(66,a,9811,a(flip),b,11573,a),flip(a)]. 11576 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(66,a,5064,a,b,11575,a)]. 11577 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(8600(a,1),11576(a,1,1))]. 11578 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [hyper(124,a,11577,a(flip),b,650,a(flip))]. 11579 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(263,a,11578,a),flip(a)]. 11580 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(7952(a,1),11572(a,1,1,1)),flip(a)]. 11581 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(9263(a,1),11580(a,2,2,1))]. 11582 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5785(a,2),11581(a,2,2,1,2))]. 11583 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5785(a,2),11582(a,1,1,1))]. 11584 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7681(a,2),11583(a,1,1))]. 11585 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10145(a,1),11584(a,1,1))]. 11586 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8538(a,1),11585(a,1,2))]. 11587 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(165(a,1),11586(a,1,2,2)),flip(a)]. 11589 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(186(a,1),11587(a,2,2))]. 11590 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(66,a,10732,a,b,11589,a)]. 11591 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(5785(a,1),11590(a,1,1))]. 11592 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6335(a,1),6455(a,2,2,1,1))]. 11593 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5346(a,1),11592(a,2,2,1))]. 11596 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4069(a,1),6610(a,2,1))]. 11597 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(15(a,1),6811(a,2,2,1,2))]. 11598 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(285,a,222,a(flip),b,11597,a),flip(a)]. 11599 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(222(a,1),11598(a,1,2))]. 11600 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5334(a,1),11599(a,1,2,2))]. 11601 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(285,a,2586,a(flip),b,11600,a),flip(a)]. 11602 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4330(a,1),8766(a,2,2,1))]. 11603 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4182(a,1),11602(a,2,2,2,1))]. 11604 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(9095(a,1),11603(a,2,2))]. 11605 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(8150(a,1),11604(a,2,2))]. 11607 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(285,a,5435,a(flip),b,11605,a),flip(a)]. 11609 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4330(a,1),11607(a,1,1))]. 11610 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4330(a,1),11609(a,1,2,2))]. 11611 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4328(a,1),11610(a,1,1))]. 11612 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4328(a,1),11611(a,1,2,2))]. 11613 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(16(a,1),11612(a,2,2))]. 11614 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(7884(a,2),8965(a,1,2,2))]. 11615 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1905(a,1),9838(a,1,1))]. 11616 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(124,a,9541,a(flip),b,11615,a)]. 11617 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11616(a,1),11503(a,1,1))]. 11618 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6265(a,1),11617(a,1,2))]. 11619 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1109,a,11618,a)]. 11620 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(285,a,5334,a(flip),b,11619,a),flip(a)]. 11621 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(66,a,9522,a,b,11620,a)]. 11622 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3248,a,11621,a),flip(a)]. 11623 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(10952,a,11622,a),flip(a)]. 11625 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10942,a,11623,a),flip(a)]. 11628 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(285,a,7977,a(flip),b,11596,a),flip(a)]. 11629 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(285,a,6009,a(flip),b,11628,a),flip(a)]. 11632 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4658(a,1),11629(a,1,1))]. 11633 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(66,a,6009,a(flip),b,11632,a)]. 11636 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(11633(a,1),7113(a,1,2))]. 11637 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(66,a,3675,a(flip),b,11636,a)]. 11639 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(66,a,5989,a(flip),b,11637,a)]. 11640 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8311(a,1),11614(a,1,2,2)),flip(a)]. 11641 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(38,a,7394,a(flip),b,11640,a),flip(a)]. 11643 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8390,a,11641,a)]. 11644 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(7953,a,11643,a)]. 11645 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(11644(a,2),46(a,1))]. 11646 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((K(y \ 1,y) / (x * y)) * ((((x * y) / x) \ 1) \ 1)) \ 1. [para(2451(a,1),4989(a,2,1,2))]. 11647 (x * ((1 / y) * (y / x))) * K(((1 / y) * (y / x)) \ 1,a(1 / y,y / x,x)) = x / (1 / ((1 / y) * (y / x))). [para(2782(a,1),7208(a,1,1))]. 11648 x / (1 / ((1 / y) * (y / x))) = (x * ((1 / y) * (y / x))) * 1. [para(10557(a,1),11647(a,1,2)),flip(a)]. 11649 x / (1 / ((1 / y) * (y / x))) = x * ((1 / y) * (y / x)). [hyper(285,a,13,a(flip),b,11648,a),flip(a)]. 11651 (x * ((1 / y) * (y / x))) \ x = 1 / ((1 / y) * (y / x)). [hyper(180,a,11649,a)]. 11652 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = (((1 / x) * (x / y)) * y) \ y. [para(11651(a,1),4837(a,1,1))]. 11653 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = a(x \ 1,x / y,y) \ y. [para(3938(a,1),11652(a,2,1))]. 11654 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = L(y,x / y,x \ 1). [hyper(285,a,3940,a(flip),b,11653,a),flip(a)]. 11655 R(1 / (a((x * y) \ 1,y,x) / x),(1 / (x * y)) * ((x * y) / x),x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11654(a,1,1,2))]. 11656 R(1 / (a((x * y) \ 1,y,x) / x),a((x * y) \ 1,y,x) / x,x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11655(a,1,2))]. 11657 L(x,(x * y) / x,(x * y) \ 1) = x / a((x * y) \ 1,y,x). [hyper(66,a,369,a(flip),b,11656,a),flip(a)]. 11658 L(x,y * K(x,y),(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(5149(a,1),11657(a,1,2))]. 11659 1 / (x / a((x * y) \ 1,y,x)) = a((x * y) \ 1,y,x) / x. [para(11658(a,1),11317(a,1,2))]. 11660 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(285,a,473,a(flip),b,10329,a),flip(a)]. 11661 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(66,a,1532,a(flip),b,11660,a)]. 11662 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5447(a,1),11661(a,1,1,2,1))]. 11663 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5853(a,1),11662(a,1,1,2,1))]. 11664 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8004(a,1),11663(a,1,1,2,1)),flip(a)]. 11665 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(66,a,4458,a(flip),b,11664,a),flip(a)]. 11667 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11665(a,1),1167(a,2,1,2)),flip(a)]. 11668 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5334(a,1),11667(a,1,1))]. 11669 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9936(a,1),11668(a,1,1))]. 11670 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(297,a,11669,a)]. 11673 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(66,a,6100,a(flip),b,11670,a)]. 11674 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(285,a,7800,a(flip),b,11673,a),flip(a)]. 11676 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(66,a,9999,a(flip),b,11674,a),flip(a)]. 11678 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(285,a,9764,a(flip),b,11676,a),flip(a)]. 11679 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(10974,a,11678,a)]. 11681 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(66,a,9086,a(flip),b,10526,a),flip(a)]. 11683 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(10705(a,1),10709(a,1,2,1)),flip(a)]. 11684 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(10180(a,1),11683(a,2,2))]. 11685 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(9102(a,1),11684(a,2,2,2))]. 11686 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(285,a,6126,a(flip),b,11685,a),flip(a)]. 11688 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(7996(a,1),11686(a,1,1,1))]. 11689 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(10716(a,1),11688(a,1,1)),flip(a)]. 11690 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(285,a,6126,a(flip),b,11689,a),flip(a)]. 11691 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(7761(a,1),11690(a,2,1,1))]. 11692 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(285,a,13,a(flip),b,11691,a),flip(a)]. 11693 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(11692(a,1),9763(a,1,2))]. 11695 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(11693(a,2),6036(a,1))]. 11696 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5320(a,1),11601(a,2,1,2,1))]. 11697 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(11108(a,1),11696(a,2,1))]. 11698 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6032(a,1),11697(a,1,2,2,2,1))]. 11699 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(66,a,11600,a(flip),b,11698,a)]. 11700 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(66,a,11172,a(flip),b,11699,a)]. 11701 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6374(a,1),11700(a,1,3)),flip(a)]. 11702 a(x,y,a(z,u,K(y,w))) = 1. [hyper(56,a,11701,a)]. 11703 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((((x * y) / x) \ 1) \ K(y \ 1,y))) \ 1. [para(4990(a,1),11646(a,2,1))]. 11704 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) * (1 / y)) \ 1)) \ 1. [para(9805(a,1),11703(a,2,1,2))]. 11705 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) / y) \ 1)) \ 1. [para(6518(a,1),11704(a,2,1,2,1))]. 11706 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(6512(a,1),11705(a,2,1,2))]. 11707 L(x,(((x * y) / x) \ 1) \ 1,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(2451(a,1),11706(a,1,2))]. 11708 L(x,(((x * y) / x) \ 1) \ 1,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,5003,a(flip),b,11707,a)]. 11710 L(x,(x * y) / x,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,7072,a(flip),b,11708,a)]. 11711 ((1 / (x * y)) * (y * K(x,y))) \ 1 = x / a((x * y) \ 1,y,x). [hyper(66,a,11657,a(flip),b,11710,a),flip(a)]. 11712 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = x / a((x * y) \ 1,y,x). [para(10259(a,1),11711(a,1,1))]. 11713 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5320(a,1),7542(a,1,1,1,2,1))]. 11714 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(7557(a,1),11713(a,1,1,1))]. 11715 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11286(a,1),11714(a,1,1))]. 11716 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(11108(a,1),11715(a,1,1,2))]. 11717 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5320(a,1),11716(a,1,3,1))]. 11718 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(11041,a,11717,a),flip(a)]. 11720 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11718(a,1,2,1))]. 11721 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11720(a,1,2,2,1))]. 11722 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(11109(a,1),11721(a,1,2))]. 11723 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(180,a,11722,a)]. 11724 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(66,a,5202,a(flip),b,11722,a),flip(a)]. 11725 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(11722(a,1),307(a,1,1)),flip(b)]. 11727 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(278(a,1),11725(a,1))]. 11728 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3064(a,1),8865(a,2,1,2))]. 11729 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(616(a,1),11728(a,1,1,2,2))]. 11730 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3104(a,1),11729(a,1,1,2))]. 11731 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,6710,a(flip),b,11730,a),flip(a)]. 11732 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(112(a,1),9616(a,2,1))]. 11733 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [hyper(285,a,23,a,b,11732,a),flip(a)]. 11734 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [hyper(66,a,9276,a(flip),b,11733,a),flip(a)]. 11736 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(5101(a,1),11734(a,1,3))]. 11737 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9202(a,1),9993(a,1,1,2))]. 11738 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(11027(a,1),10254(a,1,1))]. 11739 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(6322(a,1),11738(a,1,2))]. 11741 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1633(a,1),11739(a,1,2))]. 11742 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(648,a,11741,a)]. 11743 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(647,a,11741,a),flip(a)]. 11744 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11741(a,1),647(a,1))]. 11745 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(122,a,9826,a,b,11742,a)]. 11746 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(66,a,10185,a,b,11743,a)]. 11747 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(11743(a,1),7030(a,1,1)),flip(a)]. 11748 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(11743(a,1),9578(a,1,2)),flip(a)]. 11749 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4529(a,1),11747(a,2,1))]. 11751 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(11746(a,1),7406(a,1,1))]. 11752 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(11746(a,1),8477(a,1,1)),flip(a)]. 11753 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(17(a,1),11751(a,1,2,2))]. 11754 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5635,a,11748,a)]. 11755 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,989,a(flip),b,11754,a)]. 11756 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(66,a,9920,a(flip),b,11755,a),flip(a)]. 11757 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(66,a,11551,a(flip),b,11752,a),flip(a)]. 11758 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(11047,a,11757,a)]. 11759 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(11744,a,11745,a)]. 11760 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4632,a(flip),b,11759,a),flip(a)]. 11761 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4530,a,11760,a)]. 11762 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9826(a,1),11749(a,1,1))]. 11763 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(11761(a,1),11762(a,2,1))]. 11764 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(66,a,11747,a(flip),b,11763,a)]. 11765 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11237,a,11756,a)]. 11768 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9986(a,1),11765(a,2,2,2))]. 11769 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(15(a,1),11768(a,2,2,2,1))]. 11770 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(14(a,1),11769(a,2,2))]. 11772 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(285,a,11743,a(flip),b,11770,a),flip(a)]. 11773 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4530,a,11772,a),flip(a)]. 11774 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(66,a,11238,a(flip),b,11772,a),flip(a)]. 11777 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(11027(a,1),11034(a,1,1,2,1,1)),flip(a)]. 11778 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(14(a,1),11777(a,2,1,2,1))]. 11780 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(11027(a,1),11778(a,1,1)),flip(a)]. 11781 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2239(a,1),11780(a,2,2))]. 11782 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(66,a,11101,a,b,11781,a)]. 11783 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(11781(a,1),11364(a,1,1))]. 11784 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11782,a),flip(a)]. 11785 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5446(a,1),11783(a,1,1,2))]. 11786 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(11045,a,11785,a),flip(a)]. 11787 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4701,a,11786,a)]. 11789 K(x,a(K(y,z),u,u \ 1)) = 1. [para(11787(a,1),10350(a,1,2))]. 11790 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(59,a,11789,a)]. 11791 T(x,a(K(y,z),u \ 1,u)) = x. [para(3671(a,1),11790(a,1,2))]. 11792 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(57,a,11791,a)]. 11793 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(285,a,3652,a,b,11792,a),flip(a)]. 11794 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5450(a,2),11793(a,1,1))]. 11795 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(66,a,9751,a,b,11794,a)]. 11796 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(66,a,7711,a,b,11795,a)]. 11797 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4864(a,1),11295(a,1,1))]. 11799 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11797(a,1,2,1,2))]. 11800 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2987,a,11799,a)]. 11801 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(285,a,6294,a,b,11800,a)]. 11802 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2193,a,11801,a)]. 11803 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(285,a,8847,a(flip),b,11802,a),flip(a)]. 11805 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11802(a,1),240(a,1,2)),flip(b)]. 11806 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11803(a,1),8854(a,1,1,2))]. 11807 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),11806(a,1,2,1))]. 11808 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(14(a,1),11737(a,1,1)),flip(a)]. 11809 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(285,a,7428,a(flip),b,11808,a),flip(a)]. 11811 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(7428(a,1),11809(a,1,1,2))]. 11812 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(9571(a,1),11811(a,1,1))]. 11814 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(11812(a,1),10911(a,1,1))]. 11815 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(16(a,1),11814(a,1,1,1)),flip(a)]. 11816 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(285,a,7392,a(flip),b,11815,a),flip(a)]. 11818 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(11816(a,1),476(a,1,1)),flip(a)]. 11819 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [hyper(122,a,11818,a(flip),b,646,a)]. 11820 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(306,a,11819,a),flip(a)]. 11822 a(x,L(y,z,u),K(w,y)) = 1. [hyper(66,a,11148,a(flip),b,11820,a)]. 11823 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(55,a,11822,a)]. 11825 K(L(x \ L(y,z,u),x,w),y) = K(x \ L(y,z,u),y). [hyper(66,a,6654,a(flip),b,11823,a)]. 11826 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11823(a,1),7559(a,1,1,2)),flip(a)]. 11827 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(T(z,x * y),u,w),T(z,x * y)). [hyper(66,a,10670,a,b,11825,a)]. 11828 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,7400,a(flip),b,11826,a),flip(a)]. 11829 K(x,((L(x,y,z) \ 1) * u) \ 1) = K(x,u \ L(x,y,z)). [hyper(66,a,7203,a(flip),b,11828,a)]. 11830 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(66,a,6636,a(flip),b,11828,a),flip(a)]. 11831 (1 / L(x,y,z)) \ K(x,u) = L(x,y,z) * K(x,u). [hyper(122,a,11828,a(flip),b,2951,a)]. 11833 L(x \ y,x,1 / y) * K(x \ y,z) = ((1 / y) * x) \ K(x \ y,z). [para(561(a,1),11831(a,1,1)),flip(a)]. 11834 K(x,y \ L(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10627,a(flip),b,11829,a),flip(a)]. 11835 K(x,y \ L(x,z \ 1,z)) = K(x,y \ x). [para(2969(a,1),11834(a,1,2,2))]. 11836 K(x,y \ ((1 / (z / x)) * z)) = K(x,y \ x). [para(2962(a,1),11834(a,1,2,2))]. 11837 K(x,y \ (((z / x) \ 1) * z)) = K(x,y \ x). [hyper(66,a,7198,a(flip),b,11836,a)]. 11838 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ x). [hyper(66,a,9748,a,b,11837,a)]. 11840 (((1 / x) * y) \ 1) * K(y \ x,z) = ((1 / x) * y) \ K(y \ x,z). [para(455(a,1),11833(a,1,1))]. 11841 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(10360(a,1),8899(a,1,1))]. 11843 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(11370(a,1),11841(a,1,1))]. 11844 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1782(a,2),11843(a,1,2))]. 11845 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(5315(a,1),11844(a,1,2,1))]. 11846 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(6279(a,1),11845(a,1,2,1,2))]. 11847 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(6142(a,2),11846(a,2,1))]. 11849 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(11073(a,1),9243(a,1,1))]. 11850 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(9235(a,1),11849(a,1,2,2)),flip(a)]. 11852 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(6311(a,1),11850(a,2,2))]. 11853 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(9235(a,1),11852(a,1,2,2)),flip(a)]. 11854 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8173(a,1),11853(a,2,2))]. 11855 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(285,a,10188,a(flip),b,11854,a),flip(a)]. 11856 K(x,x \ y) * K(y,x) = a(x,y / x,x). [hyper(66,a,4268,a(flip),b,11854,a),flip(a)]. 11857 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(66,a,2364,a(flip),b,11854,a),flip(a)]. 11859 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(2236,a,11856,a)]. 11860 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(66,a,9378,a,b,11859,a)]. 11861 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(16(a,1),11860(a,1,2,1,2)),flip(a)]. 11862 (x * y) \ T(y * x,y) = a(y,x,y). [para(16(a,1),11861(a,1,2)),flip(a)]. 11863 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5316(a,1),11857(a,1,1))]. 11864 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(9816(a,1),11863(a,1,2)),flip(a)]. 11865 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(285,a,9821,a(flip),b,11864,a),flip(a)]. 11866 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1571(a,1),11855(a,1,2))]. 11867 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(647,a,11866,a),flip(a)]. 11869 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(10256,a,11867,a)]. 11870 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [hyper(124,a,11867,a(flip),b,5526,a),flip(a)]. 11871 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10600(a,1),11867(a,1,2))]. 11872 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5452,a,11869,a)]. 11873 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(11869(a,1),11153(a,1,1)),flip(a)]. 11874 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(11869(a,1),11432(a,2,2))]. 11875 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(122,a,10569,a(flip),b,11870,a(flip))]. 11876 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(66,a,11875,a(flip),b,11871,a),flip(a)]. 11878 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(66,a,11865,a(flip),b,11876,a)]. 11880 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11878(a,1),10544(a,1,1))]. 11881 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6457(a,1),11874(a,1,1))]. 11882 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6826(a,1),11881(a,1,2))]. 11883 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(66,a,11093,a(flip),b,11882,a)]. 11884 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10150(a,1),11883(a,1,2))]. 11885 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),5227(a,2,2,1,1,1))]. 11886 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),11885(a,1,1))]. 11887 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5853(a,1),11886(a,1,2,1))]. 11888 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5334(a,1),11887(a,1,2,2))]. 11889 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5334(a,1),11888(a,2,2,1,2))]. 11890 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(8851(a,2),11889(a,2,1))]. 11891 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9099(a,1),11890(a,1,2,2))]. 11892 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6337(a,1),11891(a,1,2))]. 11893 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9137(a,1),11892(a,1,2,2)),flip(a)]. 11894 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(285,a,14,a(flip),b,11893,a),flip(a)]. 11896 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(8851(a,1),11894(a,1,1))]. 11897 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9099(a,1),11896(a,1,2,1,2))]. 11898 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9219(a,1),11897(a,1,2,1))]. 11899 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(38,a,5045,a,b,11898,a)]. 11901 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(665(a,1),11899(a,1,2))]. 11902 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(66,a,6223,a(flip),b,11901,a)]. 11903 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7761(a,1),11902(a,1,2))]. 11904 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(11902(a,1),11058(a,1,2))]. 11905 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(11903(a,1),6311(a,1,1)),flip(a)]. 11906 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(285,a,5045,a(flip),b,11905,a),flip(a)]. 11907 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8749(a,1),11906(a,1,2))]. 11908 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7803(a,2),11907(a,1,1))]. 11909 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6051,a(flip),b,5735,a),flip(a)]. 11911 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,6224,a(flip),b,11909,a)]. 11912 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6970,a(flip),b,11911,a)]. 11913 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(16(a,1),11912(a,1,2,1))]. 11914 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,9284,a(flip),b,11913,a)]. 11915 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(285,a,8265,a(flip),b,11914,a),flip(a)]. 11916 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(8878(a,1),9265(a,2,2))]. 11917 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(78(a,1),11916(a,2,2,2,1))]. 11918 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4220(a,1),11917(a,2,2))]. 11919 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4084(a,1),11918(a,1,2,1))]. 11920 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(11918(a,1),7561(a,1,1,2)),flip(a)]. 11921 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(9772(a,1),11919(a,1,2)),flip(a)]. 11922 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(78(a,1),11921(a,2,2,2,1))]. 11923 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(7994(a,1),11922(a,2,2))]. 11924 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(5852(a,1),11923(a,2,2))]. 11925 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(285,a,9234,a(flip),b,11924,a),flip(a)]. 11926 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),9549(a,1,2,1))]. 11927 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),11926(a,1,2,2,1,1))]. 11928 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(830(a,1),11927(a,1,2))]. 11929 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9635(a,1),11928(a,1,2))]. 11930 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(6179,a,11929,a),flip(a)]. 11932 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3341(a,1),11930(a,2,1))]. 11933 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6238(a,1),11932(a,1,1))]. 11934 R(K(x,y),K(y,z),u) = K(x,y). [hyper(869,a,11933,a)]. 11935 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(14(a,1),11933(a,1,2))]. 11937 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(11934(a,1),2570(a,1,1)),flip(a)]. 11939 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(224,a,11935,a,b,15,a),flip(a)]. 11940 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(123,a,10740,a(flip),b,11935,a)]. 11941 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(123,a,11935,a(flip),b,5191,a)]. 11942 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2229(a,2),11935(a,1,1))]. 11943 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(8549(a,1),11935(a,1,1)),flip(a)]. 11944 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5106(a,1),11940(a,1,1))]. 11945 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(285,a,10745,a,b,11942,a),flip(a)]. 11946 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5360(a,1),11942(a,2,2))]. 11947 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,11945,a)]. 11948 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(224,a,11945,a,b,15,a),flip(a)]. 11952 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(285,a,4200,a(flip),b,11947,a),flip(a)]. 11953 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11443,a(flip),b,11947,a),flip(a)]. 11958 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7687(a,1),11947(a,1,2))]. 11960 L(x,K(y,z),K(u,K(z,w))) = x. [para(7881(a,1),11947(a,1,3))]. 11961 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(11947(a,1),11054(a,1,1,1)),flip(a)]. 11962 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1176,a,11958,a),flip(a)]. 11963 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1176,a,11960,a),flip(a)]. 11964 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(11952(a,1),10568(a,1,2,3))]. 11965 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,11449,a(flip),b,11964,a),flip(a)]. 11966 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(122,a,5360,a(flip),b,11946,a)]. 11967 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5726,a,11953,a)]. 11969 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7940(a,1),11953(a,1,1))]. 11970 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(2229(a,1),11966(a,1,1))]. 11971 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(285,a,5130,a(flip),b,11967,a)]. 11972 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11953,a(flip),b,11967,a)]. 11973 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10571(a,1),11969(a,1,1,2)),flip(a)]. 11974 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(285,a,11942,a,b,11970,a),flip(a)]. 11975 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(285,a,5150,a(flip),b,11972,a),flip(a)]. 11976 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11972(a,1),4577(a,1,2))]. 11977 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(11972(a,1),5207(a,1))]. 11978 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(66,a,11154,a(flip),b,11948,a)]. 11979 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5360(a,1),11948(a,1,2,2)),flip(a)]. 11980 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5190(a,1),11971(a,2,1)),flip(a)]. 11981 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(66,a,11758,a(flip),b,11978,a),flip(a)]. 11982 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2229(a,1),11961(a,1,2,2))]. 11983 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11963(a,2),847(a,1,2))]. 11984 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(66,a,10765,a(flip),b,11980,a)]. 11985 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(11982(a,1),7436(a,1,1))]. 11986 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5900,a,11984,a)]. 11987 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(66,a,10767,a,b,11986,a)]. 11988 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(11986(a,2),5303(a,2,2)),flip(a)]. 11989 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8307(a,1),11986(a,1,1))]. 11990 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(200(a,2),11944(a,1,2,2,2))]. 11991 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(10228(a,1),11973(a,2,1))]. 11992 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11953,a(flip),b,11991,a),flip(a)]. 11993 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10571(a,1),11992(a,1,2,2))]. 11994 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(285,a,11972,a,b,11993,a)]. 11995 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(11066,a,11941,a)]. 11996 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7500(a,1),11985(a,1,1,1)),flip(a)]. 11997 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11969(a,1),11996(a,2,1))]. 11998 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(285,a,5119,a,b,11997,a),flip(a)]. 11999 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5334(a,1),11998(a,1,2))]. 12000 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7881(a,1),11987(a,1,2,2,2))]. 12001 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8307(a,1),11989(a,1,2)),flip(a)]. 12002 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(285,a,11986,a(flip),b,12001,a),flip(a)]. 12005 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7702(a,1),12002(a,1,1)),flip(a)]. 12006 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11282,a,11995,a)]. 12007 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7942(a,1),12006(a,1,1)),flip(a)]. 12008 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(285,a,11967,a(flip),b,12007,a),flip(a)]. 12009 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(11977,a,12008,a(flip)),flip(a)]. 12010 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2229(a,2),12008(a,1,2,1))]. 12011 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(37,a,5130,a(flip),b,12010,a),flip(a)]. 12012 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12010(a,1),11975(a,1,1))]. 12013 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(66,a,11999,a,b,12011,a)]. 12014 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(124,a,12011,a(flip),b,5125,a(flip))]. 12015 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2229(a,1),12011(a,2,2))]. 12016 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2229(a,1),12015(a,1,1))]. 12017 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(66,a,12009,a(flip),b,12016,a)]. 12018 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(66,a,12005,a(flip),b,12017,a),flip(a)]. 12020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12018(a,1),11383(a,2,2))]. 12022 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5409,a,12014,a)]. 12023 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11279(a,1),12022(a,1,1))]. 12024 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4463,a,12000,a)]. 12025 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7881(a,1),12024(a,1,1))]. 12027 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(66,a,9701,a(flip),b,11965,a),flip(a)]. 12028 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9729(a,1),12027(a,2,2))]. 12029 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(285,a,4292,a(flip),b,12028,a),flip(a)]. 12030 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9393(a,1),12029(a,1,1,1))]. 12031 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10801(a,1),12030(a,1,1)),flip(a)]. 12033 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12031(a,1),5576(a,1))]. 12034 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(285,a,11935,a(flip),b,12020,a),flip(a)]. 12036 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(11934(a,1),11937(a,2,2,1,1))]. 12037 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12036(a,2,2,1))]. 12039 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12037(a,1,1,2,1))]. 12040 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12039(a,1),466(a,1,1,1)),flip(a)]. 12041 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12039(a,2),6951(a,1,1))]. 12042 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7860(a,1),12041(a,1,1,1,2,1))]. 12043 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(10155(a,1),12042(a,1,1,1,2))]. 12044 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12025(a,1),12043(a,1,1,1))]. 12045 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5334(a,1),6060(a,1,2,1))]. 12046 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5493(a,1),7505(a,1,1))]. 12047 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5493(a,1),12046(a,1,2,1,1)),flip(a)]. 12048 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5320(a,1),12047(a,2,2,1))]. 12049 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6090(a,1),12048(a,2,2))]. 12050 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5126(a,1),12049(a,1,1,1)),flip(a)]. 12051 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6090(a,1),12050(a,2,1,2))]. 12052 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6065(a,1),8985(a,1,1,2))]. 12053 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * L(x,y,(x * y) \ 1)) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),12045(a,1,2,2))]. 12054 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * (((1 / (x * y)) * y) * L(x,y,(x * y) \ 1))) = K(y,x) \ ((1 / (x * y)) * y). [para(9172(a,1),12053(a,1,2))]. 12055 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * ((1 / (x * y)) * (y * x))) = K(y,x) \ ((1 / (x * y)) * y). [para(3667(a,1),12054(a,1,2,2))]. 12056 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * K(y,x)) = K(y,x) \ ((1 / (x * y)) * y). [para(5874(a,2),12055(a,1,2,2))]. 12057 K(x,y) \ ((1 / (y * x)) * x) = 1 / L(y,x,(y * x) \ 1). [hyper(5365,a,12056,a),flip(a)]. 12058 K(x,y) * ((1 / (x * y)) * y) = 1 / L(x,y,(x * y) \ 1). [hyper(5464,a,12057,a)]. 12060 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = L(x,y,(x * y) \ 1). [hyper(180,a,12058,a(flip))]. 12062 x / a((x * y) \ 1,y,x) = L(x,y,(x * y) \ 1). [hyper(66,a,11712,a(flip),b,12060,a)]. 12063 a((x * y) \ 1,y,x) / x = 1 / L(x,y,(x * y) \ 1). [para(12062(a,1),11659(a,1,2)),flip(a)]. 12064 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(10931(a,1),12052(a,1,1))]. 12065 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(8984(a,1),12064(a,1,2)),flip(a)]. 12066 (((x * y) \ 1) \ 1) * ((y * x) \ 1) = (x * y) * (1 / (y * x)). [hyper(124,a,7576,a(flip),b,12065,a(flip))]. 12067 (((((1 / (1 / x)) / y) * y) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(11483(a,2),12066(a,1,2,1))]. 12068 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4228(a,1),6023(a,1,1)),flip(a)]. 12069 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4191(a,1),12068(a,2,2,1))]. 12070 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6042(a,1),12069(a,1,2,1))]. 12071 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4181(a,1),12070(a,1,1)),flip(a)]. 12072 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(118(a,1),12071(a,2,2,1))]. 12073 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4331(a,1),12072(a,1,1))]. 12074 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5800(a,1),6621(a,1,1)),flip(a)]. 12075 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5143(a,1),12074(a,2,1))]. 12076 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(285,a,6253,a(flip),b,12075,a),flip(a)]. 12077 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(9548(a,1),12076(a,1,2,1))]. 12078 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3036(a,1),12077(a,1,2))]. 12079 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(8885(a,1),12078(a,1,2)),flip(a)]. 12080 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(12079(a,1),8464(a,1,1,1)),flip(a)]. 12082 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3742(a,1),12080(a,1,1)),flip(a)]. 12083 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(285,a,9473,a(flip),b,12082,a),flip(a)]. 12084 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(285,a,9761,a(flip),b,12083,a),flip(a)]. 12085 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(66,a,6748,a(flip),b,12084,a)]. 12086 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(66,a,10298,a(flip),b,12085,a)]. 12087 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(282(a,1),12086(a,1,1,1))]. 12088 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4271(a,1),12086(a,1,1,1))]. 12089 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(12086(a,1),5805(a,1,2,1,2))]. 12090 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(12086(a,1),11213(a,2,1,1,2))]. 12091 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [hyper(66,a,12086,a(flip),b,12087,a),flip(a)]. 12092 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [hyper(285,a,11487,a(flip),b,12088,a),flip(a)]. 12093 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,12086,a(flip),b,12092,a)]. 12094 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(15(a,1),12093(a,1,2,2)),flip(a)]. 12095 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [hyper(285,a,8464,a(flip),b,12091,a),flip(a)]. 12096 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [hyper(66,a,12094,a(flip),b,12095,a),flip(a)]. 12097 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(66,a,9012,a(flip),b,12089,a),flip(a)]. 12098 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [hyper(285,a,8836,a(flip),b,12090,a),flip(a)]. 12099 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(66,a,11212,a(flip),b,12098,a)]. 12100 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [hyper(66,a,12096,a,b,12099,a)]. 12101 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(90(a,1),12100(a,1,1,2,1)),flip(a)]. 12102 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [hyper(66,a,11380,a,b,12101,a)]. 12103 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(10960,a,12102,a),flip(a)]. 12104 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(66,a,9425,a(flip),b,12103,a)]. 12105 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(66,a,8466,a(flip),b,12103,a),flip(a)]. 12106 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(10983,a,12104,a)]. 12107 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(10982,a,12104,a)]. 12108 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(66,a,8172,a,b,12106,a)]. 12109 K(((x * y) / z) \ y,y) = K(z / x,y). [para(16(a,1),12108(a,1,1,2)),flip(a)]. 12110 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(66,a,6716,a(flip),b,12105,a)]. 12111 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),10552(a,1,1))]. 12112 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12111(a,1,2,1,1,1))]. 12113 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9225(a,1),12112(a,1,2,1,1))]. 12114 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(5320(a,1),12113(a,1,2,1))]. 12115 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12114(a,1,2,2))]. 12116 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7681(a,2),10763(a,2,2))]. 12117 (((1 / (1 / x)) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(17(a,1),12067(a,1,1,1,1))]. 12119 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * ((1 / (1 / (y * (x / y)))) \ 1). [para(184(a,1),12117(a,1,1)),flip(a)]. 12120 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(90(a,1),12119(a,2,2))]. 12121 (1 / (1 / x)) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [hyper(293,a,12120,a)]. 12124 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(10415(a,1),12116(a,2,2))]. 12125 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). [hyper(285,a,7396,a(flip),b,12124,a),flip(a)]. 12127 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [para(7761(a,1),12125(a,2,2))]. 12128 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(285,a,9707,a(flip),b,12127,a),flip(a)]. 12129 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7682(a,1),12128(a,2,2))]. 12130 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7980(a,1),12129(a,1,2))]. 12131 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(7410,a,12130,a)]. 12134 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(12131(a,1),11098(a,1))]. 12135 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10174(a,1),9605(a,1,1))]. 12136 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(11925(a,1),11920(a,2,1,2))]. 12137 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),11983(a,1,1,3,1))]. 12138 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6534(a,1),11990(a,1,2,1))]. 12139 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3858(a,1),12138(a,1,2,2)),flip(a)]. 12140 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9879(a,1),12139(a,2,2))]. 12141 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(14(a,1),12140(a,2,2,1))]. 12142 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12141(a,1,1,2))]. 12143 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8628(a,1),12142(a,1,1))]. 12144 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12143(a,1,2,1))]. 12146 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7148(a,1),12144(a,1,2))]. 12147 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8331(a,1),12146(a,1,2))]. 12148 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7248(a,1),12147(a,1,2)),flip(a)]. 12149 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(285,a,9312,a,b,12148,a),flip(a)]. 12151 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8738(a,1),12135(a,1,1,2))]. 12152 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7881(a,1),12151(a,1,1))]. 12154 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8266(a,1),12152(a,1,1,2))]. 12155 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(14(a,1),12154(a,1,1,2,1,2))]. 12156 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7884(a,1),12155(a,1,1))]. 12157 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7960(a,1),12156(a,1,1))]. 12158 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7929(a,1),12157(a,1,1))]. 12159 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7881(a,1),12158(a,1,1))]. 12160 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10481(a,1),12159(a,1,2))]. 12161 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(7560,a,12160,a)]. 12162 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7761(a,1),12161(a,1,2,1))]. 12163 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(12162(a,1),46(a,1))]. 12164 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9873(a,1),12137(a,1,1,3))]. 12165 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7715(a,2),12164(a,1,1,3))]. 12167 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),12165(a,1,2,1,1))]. 12168 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11942(a,1),12167(a,1,2))]. 12169 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7881(a,1),12168(a,2,2,1))]. 12170 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(9873(a,1),12169(a,2,2))]. 12171 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7715(a,2),12170(a,2,2))]. 12173 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(11033(a,1),12171(a,1,1))]. 12174 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(66,a,11939,a(flip),b,12173,a),flip(a)]. 12175 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(66,a,2237,a(flip),b,12174,a)]. 12176 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7681(a,2),12175(a,1,2))]. 12177 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9741(a,1),6242(a,1,1)),flip(a)]. 12178 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(285,a,9286,a,b,12177,a),flip(a)]. 12180 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5219(a,1),12178(a,2,1))]. 12181 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9741(a,1),6243(a,1,1)),flip(a)]. 12182 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(285,a,9286,a,b,12181,a),flip(a)]. 12184 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5219(a,1),12182(a,2,1))]. 12185 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(285,a,9802,a(flip),b,12184,a),flip(a)]. 12186 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4187(a,2),12185(a,1,2))]. 12187 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9737(a,1),12186(a,1,2,1))]. 12188 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4182(a,2),12187(a,1,2,1))]. 12190 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),6821(a,1,2,1))]. 12191 (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(10318(a,1),9544(a,1,1)),flip(a)]. 12192 (1 / x) * (((1 / x) / (y * ((1 / x) / y))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(7173(a,1),12191(a,1,2,1,2))]. 12194 (1 / x) * (K(y \ (1 / x),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),12192(a,1,2,1))]. 12195 (1 / x) * (K(y \ (x \ 1),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),12194(a,1,2,1))]. 12196 (1 / x) * (1 / (y * ((1 / x) / y))) = (x \ 1) / (y * ((1 / x) / y)). [para(11312(a,1),12195(a,1,2))]. 12197 (1 / x) * (1 / (y * ((1 / x) / y))) = ((y \ (x \ 1)) * y) * x. [hyper(285,a,6824,a(flip),b,12196,a),flip(a)]. 12198 ((x \ ((1 / y) \ 1)) * x) * (1 / y) = y * (1 / (x * (y / x))). [hyper(66,a,12121,a(flip),b,12197,a),flip(a)]. 12199 ((x \ y) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(90(a,1),12198(a,1,1,1,2))]. 12200 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(8907(a,1),10271(a,2,1))]. 12201 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(9984(a,1),12200(a,2,1))]. 12202 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(3339(a,1),12201(a,2,2))]. 12204 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(6468(a,1),12202(a,2,2))]. 12205 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(285,a,5792,a(flip),b,12204,a),flip(a)]. 12206 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2606(a,1),12205(a,1,2,3))]. 12207 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4803(a,1),12206(a,1,2))]. 12208 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(1089,a,12207,a)]. 12209 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(66,a,1535,a(flip),b,12208,a),flip(a)]. 12210 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [para(117(a,2),12209(a,1,1))]. 12211 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12210(a,2,2))]. 12212 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),12211(a,2,2,1))]. 12213 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(66,a,10307,a(flip),b,12212,a),flip(a)]. 12216 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(11966(a,1),11988(a,2,1,1))]. 12217 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),12190(a,1,2,1,1))]. 12218 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(112(a,1),12217(a,1,2)),flip(a)]. 12219 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(112(a,1),12218(a,2,2,1))]. 12220 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(6681(a,1),12219(a,2,2,1,1))]. 12221 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(285,a,6136,a(flip),b,12220,a),flip(a)]. 12222 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(285,a,6934,a(flip),b,12221,a),flip(a)]. 12223 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(571(a,1),12222(a,1,2,2,2))]. 12224 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(66,a,6935,a(flip),b,12223,a),flip(a)]. 12225 K(x,R(y \ 1,z,u) \ (x \ 1)) = R(K(x,x \ y),z,u). [hyper(66,a,9319,a(flip),b,12224,a),flip(a)]. 12226 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(66,a,7307,a(flip),b,12224,a),flip(a)]. 12227 K(x,(y * z) / (T(y,z) * x)) = R(K(x,x \ z),z,y). [hyper(66,a,8926,a(flip),b,12225,a)]. 12228 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),y,z). [hyper(66,a,8688,a,b,12227,a)]. 12229 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12226,a),flip(a)]. 12230 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(10936(a,1),6296(a,1,3)),flip(a)]. 12231 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(15(a,1),12230(a,2,3,1,1))]. 12232 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(285,a,4802,a(flip),b,12231,a),flip(a)]. 12234 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(5292(a,1),12232(a,1,1))]. 12235 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(98(a,1),12234(a,1,2,2))]. 12236 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(10936(a,1),12235(a,1,2)),flip(a)]. 12237 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(15(a,1),12236(a,2,2,1,1))]. 12238 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(285,a,5334,a(flip),b,12237,a),flip(a)]. 12240 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(285,a,6189,a(flip),b,12238,a),flip(a)]. 12241 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12240(a,1),394(a,1,1))]. 12242 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(66,a,7676,a(flip),b,12241,a),flip(a)]. 12243 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6097(a,1),9700(a,1,1,1))]. 12244 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6134(a,1),12243(a,1,1)),flip(a)]. 12245 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(285,a,10228,a(flip),b,12244,a),flip(a)]. 12247 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6097(a,1),12245(a,1,1))]. 12248 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(66,a,11208,a,b,12247,a)]. 12249 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6097(a,1),12248(a,1,2,1))]. 12250 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10160(a,1),12249(a,1,2))]. 12251 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9827(a,1),12250(a,1,2,2))]. 12253 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9830(a,1),12251(a,1,2,2))]. 12254 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(7896,a,12253,a),flip(a)]. 12256 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(11645,a,12254,a)]. 12257 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7512,a,12254,a)]. 12259 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11967,a(flip),b,12257,a),flip(a)]. 12260 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(285,a,10199,a(flip),b,12257,a),flip(a)]. 12261 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(606(a,1),12257(a,1,2,2)),flip(a)]. 12262 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12260(a,1),11274(a,1,2))]. 12263 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(66,a,11969,a(flip),b,12259,a)]. 12264 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2229(a,1),12263(a,1,2)),flip(a)]. 12265 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(66,a,11972,a,b,12264,a)]. 12266 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(285,a,5130,a(flip),b,12265,a)]. 12267 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(37,a,5130,a(flip),b,12266,a)]. 12268 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(285,a,10585,a(flip),b,8963,a),flip(a)]. 12269 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(285,a,7884,a(flip),b,12268,a),flip(a)]. 12270 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),9490(a,1,1,1))]. 12271 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6897(a,1),12270(a,1,1,2))]. 12272 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(11515(a,1),12271(a,1,1,2))]. 12273 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),12272(a,1,2,1))]. 12274 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5334(a,1),12273(a,1,2))]. 12275 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(66,a,11946,a(flip),b,12274,a),flip(a)]. 12277 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9289(a,1),12275(a,1,2,1,2,1))]. 12278 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(7679(a,1),12277(a,1,2,1))]. 12279 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9466(a,1),12278(a,1,2))]. 12280 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(7684,a,12279,a)]. 12281 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(12280(a,1),12115(a,1,2))]. 12282 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(5454,a,12281,a),flip(a)]. 12284 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(5320(a,1),12282(a,1,1))]. 12285 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(66,a,9225,a(flip),b,12284,a)]. 12286 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,9728,a(flip),b,12285,a),flip(a)]. 12287 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12286,a),flip(a)]. 12289 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3075(a,1),8931(a,1,1,1,2))]. 12290 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10160(a,1),11847(a,1,1))]. 12291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(285,a,14,a(flip),b,12040,a),flip(a)]. 12293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12039(a,1),12291(a,1,3))]. 12296 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4815(a,1),12289(a,1,1,1))]. 12297 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(115(a,1),12296(a,1,1,1)),flip(a)]. 12301 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3075(a,1),12297(a,2,1,3,2))]. 12302 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(14(a,1),12301(a,2,1,3))]. 12306 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4802(a,1),12302(a,2,1))]. 12307 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(87(a,1),12306(a,1,1,1,1,2))]. 12309 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3075(a,1),12307(a,1,1,2))]. 12310 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(66,a,6737,a(flip),b,12309,a)]. 12312 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(27(a,2),12310(a,1,1,1,1)),flip(a)]. 12313 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(9829(a,1),12290(a,1,1,2))]. 12315 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10163(a,1),12313(a,1,1))]. 12316 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(10156(a,1),12315(a,1,1)),flip(a)]. 12317 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(7996(a,1),12316(a,2,2,1))]. 12319 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(6142(a,1),12317(a,1,1))]. 12320 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(66,a,9196,a(flip),b,12319,a),flip(a)]. 12322 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11966(a,1),11976(a,1,2,1,1))]. 12323 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11279(a,1),12322(a,1,2,1))]. 12324 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7942(a,1),12323(a,1,2,1,1))]. 12325 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11953(a,1),12324(a,1,2,1))]. 12326 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12012(a,1),12325(a,1,2)),flip(a)]. 12327 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(285,a,12022,a(flip),b,12326,a),flip(a)]. 12328 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(11966(a,1),12327(a,1,2))]. 12329 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5316(a,1),6188(a,1,1,1,2))]. 12330 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6829(a,1),12329(a,1,1,1))]. 12331 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1580(a,1),12330(a,1,2))]. 12332 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(760,a,12331,a),flip(a)]. 12333 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1580(a,1),12332(a,1,1))]. 12334 (x * (y * (1 / (z * (y / z))))) * a(x,K((1 / y) \ K(z \ y,z),1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(12199(a,1),6825(a,1,1,2))]. 12335 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),7314(a,2,2))]. 12336 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12335(a,1,1,3,2,2))]. 12337 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12336(a,1,2,1,2,2))]. 12338 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(7313,a,12337,a)]. 12339 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5083(a,1),12334(a,1,2,2,1))]. 12340 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(4598(a,1),12339(a,1,2,2))]. 12341 (x * (y * (1 / (z * (y / z))))) * a(x,K(y,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5265(a,1),12340(a,1,2,2))]. 12342 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = (x * (y * (1 / (z * (y / z))))) * 1. [para(4899(a,1),12341(a,1,2)),flip(a)]. 12344 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [hyper(285,a,13,a(flip),b,12342,a),flip(a)]. 12346 (x * K((y \ z) * y,1 / z)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(5083(a,1),12344(a,1,1,2,1))]. 12347 (x * K((y \ z) * y,z \ 1)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(4598(a,1),12346(a,1,1,2))]. 12348 (x * K(y,y \ 1)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [para(5265(a,1),12347(a,1,1,2))]. 12349 x / ((y \ 1) * (z * (y / z))) = x * (y * (1 / (z * (y / z)))). [hyper(66,a,7421,a(flip),b,12348,a)]. 12351 K((T(x \ y,y \ x) * (1 / (x \ y))) \ (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(6883(a,1),11348(a,1,1,1))]. 12352 K(((T(x \ y,y \ x) \ 1) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(11456(a,1),12351(a,1,1))]. 12353 K((T((x \ y) \ 1,x \ y) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(2501(a,2),12352(a,1,1,1,1))]. 12354 K((T(x \ y,y \ x) * (1 / (x \ y))) * (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(6883(a,1),12353(a,1,1,1))]. 12355 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2618(a,1),10666(a,2,1))]. 12356 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(11518(a,1),12355(a,2,1))]. 12357 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(12(a,1),12356(a,2,2,2))]. 12358 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(16(a,1),12357(a,2,2))]. 12359 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(285,a,5190,a,b,12358,a),flip(a)]. 12361 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(10664(a,1),12359(a,1,1,1,2,1)),flip(a)]. 12362 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(12(a,1),12361(a,2,1,1,2))]. 12364 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(16(a,1),12362(a,2,1,1))]. 12365 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12364(a,1),10665(a,1,2))]. 12366 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2498,a,12365,a)]. 12367 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11805,a,12366,a),flip(a)]. 12369 x * K(y \ L(y,z,u),a(u,z,y)) = x. [hyper(124,a,12367,a,b,79,a)]. 12370 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5349,a,12369,a)]. 12371 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12370(a,1),6769(a,1,2)),flip(a)]. 12372 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(180,a,12371,a)]. 12374 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(605(a,1),11242(a,1,1))]. 12375 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5166(a,1),12374(a,1,1,1,2))]. 12376 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(66,a,5945,a(flip),b,12375,a),flip(a)]. 12377 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2155(a,1),12376(a,1,1,2))]. 12378 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(838(a,1),12377(a,1,1,2,1,2))]. 12379 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1360(a,1),12378(a,1,1,2,1,2))]. 12380 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(209(a,1),12379(a,1,1,2))]. 12381 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(513,a,12380,a),flip(a)]. 12383 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6275,a,12381,a),flip(a)]. 12386 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(118(a,1),12381(a,2,1))]. 12387 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5334(a,2),12383(a,1,1))]. 12388 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(12383(a,1),7511(a,1,1))]. 12390 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(285,a,6322,a,b,12387,a)]. 12391 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(124,a,12386,a(flip),b,6204,a(flip))]. 12392 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(14(a,1),12391(a,1,2,1)),flip(a)]. 12393 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(6756,a,12392,a),flip(a)]. 12394 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6174,a,12392,a)]. 12395 R(x,y,K(x \ 1,z)) = x. [hyper(475,a,12392,a)]. 12397 R(x \ 1,y,K(x,z)) = x \ 1. [para(3341(a,1),12395(a,1,3))]. 12398 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(12397(a,1),112(a,1,1)),flip(a)]. 12400 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [hyper(66,a,6650,a(flip),b,12394,a)]. 12401 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4586(a,1),12394(a,1,1,1)),flip(a)]. 12402 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(12394(a,1),7399(a,1,1,2)),flip(a)]. 12403 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(509(a,1),12400(a,1,2))]. 12404 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(66,a,6107,a(flip),b,12401,a)]. 12405 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(113(a,1),12404(a,1,2))]. 12406 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(285,a,7399,a(flip),b,12402,a),flip(a)]. 12407 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4221(a,2),12406(a,2,2))]. 12409 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(12393(a,1),6637(a,1,1))]. 12410 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(6756,a,12398,a),flip(a)]. 12411 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,12398,a)]. 12412 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [hyper(224,a,12398,a,b,5360,a),flip(a)]. 12413 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(66,a,8735,a(flip),b,12411,a)]. 12414 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [hyper(66,a,6637,a(flip),b,12411,a)]. 12416 T(x,L(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12413,a(flip),b,5125,a(flip)),flip(a)]. 12418 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12416,a),flip(a)]. 12419 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(453(a,1),12418(a,1,2)),flip(a)]. 12420 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(66,a,9801,a,b,12405,a)]. 12421 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(606(a,1),12420(a,1,2,2))]. 12422 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5334(a,2),12390(a,1,1))]. 12423 K(x / K(y \ 1,z),y) = K(x,y). [hyper(37,a,8343,a,b,12422,a)]. 12424 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(37,a,5130,a(flip),b,12422,a)]. 12425 K(x * K(y \ 1,z),y) = K(x,y). [para(16(a,1),12423(a,1,1)),flip(a)]. 12426 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [para(12423(a,1),5344(a,1,2)),flip(a)]. 12427 K(x * K(y,z \ 1),z) = K(x,z). [para(7396(a,1),12423(a,1,1))]. 12428 K(x / T(y,z \ 1),z) = K(x / y,z). [para(7419(a,1),12423(a,1,1)),flip(a)]. 12431 K(K(x,y \ 1) * z,y) = K(z,y). [para(5334(a,1),12424(a,1,1))]. 12432 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5585(a,1),12424(a,1,1)),flip(a)]. 12433 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6468(a,1),12425(a,1,1,2))]. 12434 K(x * K(y,y \ z),y / z) = K(x,y / z). [para(5612(a,1),12427(a,1,1,2))]. 12435 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5818(a,1),12427(a,1,1))]. 12436 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5612(a,1),12431(a,1,1,1))]. 12439 K(x,y / K(x \ 1,z)) = K(x,y). [hyper(285,a,5344,a(flip),b,12426,a),flip(a)]. 12440 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3341(a,1),12439(a,1,2,2))]. 12441 K(x,y * K(z,x \ 1)) = K(x,y). [para(7396(a,1),12439(a,1,2))]. 12442 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6392(a,1),12441(a,1,2,2))]. 12443 K(x,K(x \ 1,y) * z) = K(x,z). [para(7723(a,1),12441(a,1,2)),flip(a)]. 12444 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(124,a,12443,a(flip),b,5125,a(flip)),flip(a)]. 12445 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5545(a,1),12443(a,1,2))]. 12446 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(6254(a,1),12443(a,1,2)),flip(a)]. 12447 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(11083,a,12428,a)]. 12449 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(7419(a,1),12440(a,1,2)),flip(a)]. 12450 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(285,a,5130,a,b,12444,a),flip(a)]. 12452 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(5545(a,1),12450(a,1,2))]. 12453 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5854(a,1),12450(a,1,2)),flip(a)]. 12456 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,(y * x) \ (x * z)). [hyper(66,a,9754,a(flip),b,12445,a)]. 12458 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6585(a,1),12433(a,1,1)),flip(a)]. 12459 K(x * (y / z),z / y) = K(x * (z \ y),z / y). [para(6523(a,1),12434(a,1,1))]. 12460 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5854(a,1),12436(a,1,1)),flip(a)]. 12461 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6523(a,1),12442(a,1,2))]. 12462 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5360(a,1),12446(a,1,2,2)),flip(a)]. 12464 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8573(a,1),12462(a,1,2,2))]. 12466 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(12447(a,2),11083(a,1))]. 12467 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((K(x * (L(z,u,w) \ y),L(z,u,w) / y) * L(z,u,w)) / y,z). [para(12459(a,1),10923(a,1,1,1,1)),flip(a)]. 12468 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(66,a,10701,a,b,12460,a)]. 12469 T(K(x \ y,z * (y \ x)),x) = K((x / y) \ 1,z * (x / y)). [para(12461(a,1),8067(a,1,1))]. 12470 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6603(a,1),12464(a,1,2,2)),flip(a)]. 12471 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(404(a,1),12403(a,2,2,1,2))]. 12472 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(66,a,6247,a(flip),b,12412,a),flip(a)]. 12473 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(5019,a,12472,a),flip(a)]. 12474 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(4760,a,12472,a),flip(a)]. 12475 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4941,a,12473,a),flip(a)]. 12477 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(10004(a,1),12474(a,2,2))]. 12478 T(x \ K(y,z),K(x,y)) = x \ K(y,z). [para(2227(a,1),12475(a,2,2))]. 12479 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(12475(a,2),10485(a,1,2))]. 12480 T(K(x,y) / z,T(z,x)) = z \ K(x,y). [hyper(10093,a,12478,a)]. 12481 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(12256(a,2),12479(a,1,2))]. 12482 K(x,(y * z) \ T(z,u)) = T(K(x,y \ K(z,u)),z). [para(12480(a,1),10823(a,1,1,2)),flip(a)]. 12483 T(K(x,(y / z) \ K(z,u)),z) = K(x,y \ T(z,u)). [para(17(a,1),12482(a,1,2,1)),flip(a)]. 12484 K(x,T(y / z,z) \ K(z,u)) = K(x,y \ T(z,u)). [hyper(66,a,9550,a,b,12483,a)]. 12485 K(x,(y * z) \ T(y,u)) = K(x,z \ K(y,u)). [para(208(a,1),12484(a,1,2,1)),flip(a)]. 12486 K((x * y) \ T(x,z),u) = (u \ 1) / (u \ K(u,y \ K(x,z))). [para(12485(a,1),5633(a,1,2,2)),flip(a)]. 12487 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(66,a,12449,a(flip),b,12421,a)]. 12488 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(66,a,8686,a(flip),b,12487,a),flip(a)]. 12489 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(12488(a,1),6101(a,1,1))]. 12490 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ (x \ (x * z))). [hyper(285,a,9451,a(flip),b,12456,a),flip(a)]. 12491 K((x / y) \ 1,z * (x / y)) = K(y / x,z * (y \ x)). [hyper(10968,a,12469,a),flip(a)]. 12492 K(x / y,z * (y / x)) = K(x / y,z * (x \ y)). [hyper(10990,a,12491,a)]. 12493 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(12470(a,1),8377(a,1,1))]. 12494 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(66,a,11241,a,b,12477,a)]. 12495 K((x * y) \ T(x,z),u) = K(y \ K(x,z),u). [hyper(285,a,5633,a(flip),b,12486,a),flip(a)]. 12496 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(15(a,1),12495(a,1,1,1)),flip(a)]. 12497 K(T(x / y,T(y,x)) \ K(y,z),u) = K(x \ T(y,z),u). [para(3981(a,2),12496(a,1,1,1))]. 12498 T(K((x / y) \ K(y,z),u),T(y,x)) = K(x \ T(y,z),u). [hyper(66,a,8981,a(flip),b,12497,a)]. 12499 T(K(x \ T(y,z),u),T(y,x)) = K((x / y) \ K(y,z),u). [hyper(7987,a,12498,a)]. 12500 K((x / y) \ K(y,z),u) = T(K(x \ T(y,z),u),y). [hyper(66,a,10062,a(flip),b,12499,a),flip(a)]. 12501 K((x / y) \ K(y,z),u) = K(x \ T(y,z),T(u,y)). [hyper(285,a,7681,a,b,12500,a),flip(a)]. 12502 K((x / L(y,z,u)) \ K(L(y,z,u),w),(v5 * y) / v5) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(637(a,1),12501(a,2,2))]. 12503 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ z). [para(14(a,1),12490(a,2,2,2))]. 12504 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(14(a,1),12503(a,1,2,1,1)),flip(a)]. 12505 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(8428,a,12493,a)]. 12506 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(10942,a,12505,a),flip(a)]. 12508 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(10753,a,12388,a),flip(a)]. 12509 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(6275,a,12508,a),flip(a)]. 12513 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12508(a,2,2))]. 12514 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(285,a,12338,a(flip),b,12509,a),flip(a)]. 12516 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12513(a,1,1,2))]. 12517 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6275,a,12516,a),flip(a)]. 12518 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(30(a,2),12517(a,2,2))]. 12519 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(12517(a,2),6239(a,1,2))]. 12520 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(263,a,12519,a)]. 12521 R(K(x,y),z,x \ 1) = K(x,y). [hyper(475,a,12520,a)]. 12522 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(11080,a,12521,a)]. 12523 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [hyper(124,a,12522,a(flip),b,5805,a),flip(a)]. 12524 T(x,R(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12522,a(flip),b,5125,a(flip)),flip(a)]. 12526 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12524,a),flip(a)]. 12527 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(706(a,1),12526(a,1,2))]. 12528 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(285,a,3195,a(flip),b,12523,a),flip(a)]. 12529 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(122,a,12528,a,b,4428,a)]. 12530 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(66,a,10686,a(flip),b,12527,a)]. 12531 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(86(a,1),12530(a,1,2,2))]. 12532 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(118(a,1),12531(a,1,2)),flip(a)]. 12533 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(285,a,10694,a(flip),b,12532,a),flip(a)]. 12534 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(66,a,12453,a(flip),b,12533,a)]. 12535 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(66,a,12419,a(flip),b,12534,a)]. 12536 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(27(a,2),12534(a,1,2,1)),flip(a)]. 12537 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(12535(a,1),8359(a,1,1,2))]. 12538 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(66,a,9626,a(flip),b,12536,a)]. 12539 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(285,a,12452,a(flip),b,12538,a),flip(a)]. 12540 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(66,a,9607,a(flip),b,12539,a)]. 12541 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(657(a,1),12529(a,2,2))]. 12542 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5382(a,1),12541(a,1,2)),flip(a)]. 12543 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(12542(a,1),8608(a,1,2,1))]. 12544 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(66,a,9104,a(flip),b,12543,a)]. 12545 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(8364,a,12537,a),flip(a)]. 12546 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(122,a,12545,a(flip),b,5130,a(flip)),flip(a)]. 12547 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(285,a,5125,a,b,12546,a),flip(a)]. 12548 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(66,a,10804,a(flip),b,12547,a),flip(a)]. 12549 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(14(a,1),12548(a,1,2,1,2)),flip(a)]. 12550 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(242(a,1),12549(a,1,2,1,2))]. 12551 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3645(a,1),12407(a,1,2,1))]. 12552 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(66,a,5949,a(flip),b,12551,a)]. 12553 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(90(a,1),12552(a,2,2,1,2))]. 12554 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(79(a,1),12553(a,2,2,1))]. 12556 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(186(a,1),12554(a,2,2,2))]. 12557 L(K(x,y),z,y \ 1) = K(x,y). [para(12(a,1),12556(a,2,2))]. 12561 K(L(x,y,z \ 1),z) = K(x,z). [hyper(66,a,8726,a(flip),b,12557,a)]. 12562 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,6664,a(flip),b,12557,a)]. 12563 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [hyper(124,a,12557,a(flip),b,7068,a(flip))]. 12565 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(789(a,1),12561(a,1,1))]. 12566 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8015(a,1),12563(a,1,2)),flip(a)]. 12567 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,10689,a(flip),b,12562,a)]. 12568 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(285,a,12435,a(flip),b,12567,a),flip(a)]. 12569 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,12568,a)]. 12570 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(66,a,11303,a(flip),b,12569,a),flip(a)]. 12571 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(66,a,8626,a(flip),b,12569,a)]. 12572 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(116(a,1),12569(a,1,1,1)),flip(a)]. 12573 K(L(x,y,y \ 1) \ z,y) = K(x \ (y \ (z * y)),y). [hyper(285,a,9347,a(flip),b,12571,a),flip(a)]. 12574 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(285,a,8199,a(flip),b,12573,a),flip(a)]. 12575 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12574(a,1),5722(a,1,2,1,2))]. 12576 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(10953,a,12570,a)]. 12577 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(11084,a,12576,a),flip(a)]. 12579 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(116(a,1),12577(a,1,1,2)),flip(a)]. 12580 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(66,a,12432,a(flip),b,12572,a),flip(a)]. 12581 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(66,a,9123,a,b,12580,a)]. 12582 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(12581(a,1),11114(a,1,1))]. 12583 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(11321(a,1),12581(a,2,1,2,1))]. 12584 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(12466,a,12579,a),flip(a)]. 12585 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(66,a,11169,a,b,12584,a)]. 12586 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(285,a,12106,a(flip),b,12585,a),flip(a)]. 12587 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6120(a,2),12586(a,1,1))]. 12588 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(11000,a,12565,a)]. 12589 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5464,a,12582,a)]. 12590 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(38,a,11111,a,b,12589,a)]. 12591 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6626(a,2),12590(a,1,1))]. 12592 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(7270(a,1),12590(a,2,2,2,1))]. 12593 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(267(a,1),12591(a,2,2))]. 12594 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(285,a,6658,a(flip),b,12593,a),flip(a)]. 12596 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8015(a,1),12566(a,1,2,2)),flip(a)]. 12597 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5865,a,12575,a),flip(a)]. 12598 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2958(a,1),12597(a,1,1,1))]. 12599 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(66,a,6705,a(flip),b,12598,a)]. 12600 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(285,a,9402,a(flip),b,12599,a),flip(a)]. 12601 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(66,a,12588,a(flip),b,12600,a),flip(a)]. 12602 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(10953,a,12601,a),flip(a)]. 12603 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(285,a,12107,a(flip),b,12602,a),flip(a)]. 12604 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(14(a,1),12603(a,1,1,1)),flip(a)]. 12605 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(66,a,12109,a(flip),b,12604,a)]. 12606 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(16(a,1),12604(a,1,1,1)),flip(a)]. 12607 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(4597,a,12606,a)]. 12608 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8940,a,12607,a)]. 12610 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3062(a,2),12608(a,1,1,2))]. 12611 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(66,a,8937,a(flip),b,12610,a)]. 12613 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(66,a,9634,a(flip),b,12611,a)]. 12615 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,11915,a(flip),b,12613,a),flip(a)]. 12616 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8455,a,12615,a),flip(a)]. 12618 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(285,a,9355,a(flip),b,12616,a),flip(a)]. 12619 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(66,a,11731,a,b,12618,a)]. 12621 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12619(a,1),6963(a,1,1,1))]. 12622 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(66,a,9379,a(flip),b,12621,a),flip(a)]. 12624 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(17(a,1),12622(a,1,3,2)),flip(a)]. 12625 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,5977,a(flip),b,12409,a)]. 12626 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(66,a,5969,a(flip),b,12489,a)]. 12627 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(7396(a,1),12494(a,1,1,2))]. 12628 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(66,a,12229,a(flip),b,12626,a)]. 12629 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(7587(a,1),12627(a,1,1))]. 12631 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(12629(a,1),6129(a,1))]. 12633 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(489(a,1),12628(a,1,2,1)),flip(a)]. 12634 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(66,a,12550,a(flip),b,12471,a),flip(a)]. 12635 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(285,a,12403,a(flip),b,12634,a),flip(a)]. 12636 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(66,a,11501,a(flip),b,12635,a),flip(a)]. 12637 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(9881,a,12636,a)]. 12638 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(10958,a,12637,a)]. 12639 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(66,a,12414,a,b,12638,a)]. 12640 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(66,a,12504,a(flip),b,12639,a)]. 12641 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(66,a,9785,a(flip),b,12639,a),flip(a)]. 12642 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(15(a,1),12639(a,1,2,1)),flip(a)]. 12643 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(66,a,12410,a(flip),b,12642,a)]. 12644 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(66,a,10508,a(flip),b,12643,a)]. 12645 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(11218,a,12644,a),flip(a)]. 12646 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(66,a,7197,a(flip),b,12644,a),flip(a)]. 12647 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(90(a,1),12644(a,1,2,2,1)),flip(a)]. 12648 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(10954,a,12641,a)]. 12649 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(66,a,9591,a(flip),b,12648,a),flip(a)]. 12651 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(66,a,8020,a(flip),b,12649,a),flip(a)]. 12652 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(66,a,9792,a(flip),b,12645,a)]. 12654 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,12652,a),flip(a)]. 12655 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,9862,a(flip),b,12654,a),flip(a)]. 12656 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(12646(a,1),9651(a,2,1))]. 12657 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(9661,a,12647,a),flip(a)]. 12659 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(12657(a,1),5766(a,1))]. 12660 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8680,a(flip),b,12655,a)]. 12661 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(285,a,12413,a(flip),b,12660,a),flip(a)]. 12663 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(17(a,1),12661(a,1,2,1))]. 12664 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(66,a,8680,a,b,12663,a)]. 12665 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(15(a,1),12664(a,1,2,2,1)),flip(a)]. 12666 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(12665(a,1),6101(a,1,1))]. 12667 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(285,a,3344,a(flip),b,12651,a),flip(a)]. 12668 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(66,a,10856,a(flip),b,12667,a)]. 12669 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(285,a,9021,a,b,12668,a)]. 12670 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(66,a,6101,a(flip),b,12666,a),flip(a)]. 12671 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,7200,a(flip),b,12670,a),flip(a)]. 12672 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9111(a,1),12669(a,1,1))]. 12673 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(15(a,1),12672(a,2,2,1,2,1))]. 12674 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(285,a,7169,a,b,12673,a)]. 12676 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [hyper(124,a,12674,a(flip),b,5125,a(flip)),flip(a)]. 12677 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(285,a,5977,a(flip),b,12656,a),flip(a)]. 12678 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(66,a,7157,a(flip),b,12677,a)]. 12679 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(66,a,12287,a(flip),b,12678,a),flip(a)]. 12680 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,12625,a(flip),b,12679,a),flip(a)]. 12681 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(453(a,1),12680(a,1,2,1))]. 12683 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(12681(a,1),12659(a,1))]. 12684 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4409(a,1),12583(a,2,1,2))]. 12685 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4548(a,1),12592(a,2,2))]. 12686 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(285,a,6678,a(flip),b,12685,a),flip(a)]. 12687 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(5540(a,1),12684(a,2,1))]. 12688 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(285,a,6666,a(flip),b,12687,a),flip(a)]. 12690 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(15(a,1),12514(a,1,1)),flip(a)]. 12691 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(38,a,4932,a(flip),b,12690,a),flip(a)]. 12693 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(12691(a,1),6887(a,1,2,2,2))]. 12694 K((x / L(y,z,u)) \ K(L(y,z,u),w),T(y,v5)) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [hyper(8430,a,12502,a)]. 12695 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K((x / L(y,z,u)) \ 1,T(y,v5)). [hyper(66,a,8588,a(flip),b,12694,a),flip(a)]. 12697 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(L(y,z,u) / x,T(y,v5)). [hyper(285,a,5830,a(flip),b,12695,a),flip(a)]. 12698 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(x \ L(y,z,u),T(y,v5)). [hyper(285,a,7745,a(flip),b,12697,a),flip(a)]. 12699 K(x \ L(T(y,z),u,w),(v5 * y) / v5) = K(x \ L(y,u,w),T(y,v5)). [para(30(a,2),12698(a,1,1,2))]. 12700 K(x \ L(T(y,z),u,w),T(y,v5)) = K(x \ L(y,u,w),T(y,v5)). [hyper(8430,a,12699,a)]. 12701 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x * y)). [hyper(66,a,11827,a,b,12700,a)]. 12702 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(15(a,1),12693(a,1,2,2)),flip(a)]. 12703 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(285,a,5688,a(flip),b,12702,a),flip(a)]. 12705 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(6123(a,1),12703(a,1,2,2,2))]. 12706 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(66,a,7202,a(flip),b,12705,a)]. 12707 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(6565(a,1),12706(a,1,2,2))]. 12708 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(285,a,12670,a(flip),b,12707,a),flip(a)]. 12709 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(5767,a,12708,a)]. 12710 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(66,a,7265,a(flip),b,12708,a),flip(a)]. 12711 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,12671,a(flip),b,12710,a),flip(a)]. 12712 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(285,a,12633,a(flip),b,12711,a),flip(a)]. 12713 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(66,a,12709,a(flip),b,12712,a),flip(a)]. 12714 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(9881,a,12713,a)]. 12715 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(66,a,8683,a(flip),b,12714,a)]. 12716 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,8679,a(flip),b,12715,a),flip(a)]. 12717 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(116(a,1),12715(a,1,2,2)),flip(a)]. 12718 K(x,R(y / (z * u),z * u,x)) = K(x,(y * x) / ((z * x) * u)). [para(113(a,2),12715(a,1,2))]. 12719 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(66,a,10721,a(flip),b,12716,a),flip(a)]. 12720 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,9577,a(flip),b,12716,a)]. 12721 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(124,a,12720,a(flip),b,5125,a(flip))]. 12722 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(12720(a,1),5633(a,1,2,2))]. 12723 K(x,(y * x) / ((z * x) * u)) = K(x,y / (z * u)). [hyper(66,a,9089,a(flip),b,12718,a),flip(a)]. 12725 K(x,(((y * x) * z) / u) \ x) = K(x,u / (y * z)). [hyper(66,a,10854,a(flip),b,12723,a)]. 12726 K(x,y / ((1 / x) * z)) = K(x,(z / y) \ x). [para(88(a,1),12725(a,1,2,1,1)),flip(a)]. 12727 K(x,y / ((1 / x) * (z * x))) = K(x,y / z). [hyper(285,a,10862,a(flip),b,12726,a),flip(a)]. 12728 K(x,y / ((1 / x) * (x / z))) = K(x,y / (z \ 1)). [hyper(66,a,7263,a(flip),b,12727,a)]. 12729 K(x,((x / y) / z) \ x) = K(x,z / (y \ 1)). [hyper(66,a,12726,a(flip),b,12728,a)]. 12730 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (((y \ 1) * x) \ 1)). [para(200(a,2),12729(a,1,2,1,1))]. 12731 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(15(a,1),12719(a,1,2,2,2)),flip(a)]. 12732 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(25(a,2),12731(a,2,2))]. 12734 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10718,a,12732,a)]. 12735 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,R(z,y,T(x,z * y))). [hyper(66,a,10723,a,b,12732,a)]. 12736 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [hyper(66,a,11736,a(flip),b,12732,a)]. 12737 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [hyper(66,a,10717,a(flip),b,12732,a),flip(a)]. 12738 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(12732(a,1),30(a,2,1))]. 12739 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(12734(a,1),476(a,1,1))]. 12740 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [hyper(285,a,9021,a,b,12736,a)]. 12741 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [hyper(66,a,12228,a(flip),b,12737,a),flip(a)]. 12742 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(285,a,12740,a(flip),b,12741,a),flip(a)]. 12743 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(12742(a,1),10597(a,1,2))]. 12744 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(285,a,7681,a,b,12738,a),flip(a)]. 12745 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(32(a,2),12744(a,2,2))]. 12746 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(7681(a,2),12745(a,1,1))]. 12747 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(285,a,8622,a(flip),b,12746,a),flip(a)]. 12748 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(66,a,6813,a(flip),b,12739,a),flip(a)]. 12749 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5274(a,1),12748(a,2,1))]. 12750 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(66,a,9681,a(flip),b,12749,a)]. 12752 L(x,K(y,z),z * y) = x. [hyper(766,a,12750,a)]. 12753 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(513,a,12750,a)]. 12754 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(122,a,5130,a,b,12750,a)]. 12756 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(122,a,15,a(flip),b,12750,a),flip(a)]. 12757 L(x,K(y \ z,y),z) = x. [para(15(a,1),12752(a,1,3))]. 12758 L(x,K(y,y \ z),z) = x. [para(5612(a,1),12757(a,1,2))]. 12759 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(66,a,6278,a(flip),b,12758,a)]. 12760 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [hyper(124,a,12756,a(flip),b,5544,a)]. 12762 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(7884(a,2),12756(a,1,1))]. 12764 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(12631,a,12753,a)]. 12765 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(37,a,11579,a,b,12753,a)]. 12768 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(15(a,1),12759(a,1,2)),flip(a)]. 12769 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(12760(a,1),12312(a,2,1,1))]. 12770 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),12765(a,1,2)),flip(a)]. 12771 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(12768(a,1),12753(a,1,2)),flip(a)]. 12773 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(66,a,11862,a(flip),b,12754,a),flip(a)]. 12774 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7409,a,12773,a)]. 12775 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5452,a,12773,a)]. 12776 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(2236,a,12773,a)]. 12777 x \ R(x,y,x) = a(x,y,x). [hyper(66,a,5764,a(flip),b,12773,a)]. 12778 x * a(x,y,x) = R(x,y,x). [hyper(124,a,12773,a(flip),b,5764,a(flip))]. 12780 K(x,x * y) * a(x,y,x) = K(x,y). [para(12773(a,1),5445(a,1,2))]. 12781 T(x * y,x) / x = y * a(x,y,x). [para(12773(a,1),7477(a,1,2)),flip(a)]. 12782 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12773(a,1),11094(a,1,2))]. 12783 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12773(a,1),11055(a,2,2))]. 12784 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12773(a,1),11942(a,1,1)),flip(a)]. 12785 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(12773(a,1),11945(a,1,1)),flip(a)]. 12786 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12773(a,1),11966(a,1,1)),flip(a)]. 12787 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(66,a,9211,a,b,12777,a)]. 12788 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(66,a,8802,a(flip),b,12777,a),flip(a)]. 12789 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(124,a,12777,a(flip),b,12213,a),flip(a)]. 12791 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12777(a,1),9709(a,1,3))]. 12792 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12778(a,1),304(a,1,2)),flip(b)]. 12793 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12778(a,1),113(a,2,2)),flip(a)]. 12795 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12791(a,1),394(a,1,1)),flip(a)]. 12796 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(15(a,1),12774(a,1,2,2))]. 12797 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (R(a(z,u,z),K(z,z * u),y * x) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(12774(a,1),1191(a,1,2,1)),flip(a)]. 12799 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7409,a,12776,a)]. 12801 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(15(a,1),12780(a,1,1,2))]. 12802 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(12780(a,1),5453(a,1,2)),flip(b)]. 12803 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(66,a,1656,a,b,12781,a)]. 12804 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12781(a,1),118(a,1,1))]. 12805 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12781(a,2),215(a,1,2,2))]. 12807 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12781(a,2),441(a,1,2,2))]. 12808 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12781(a,2),769(a,1,2,2,2))]. 12809 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12781(a,2),7642(a,1,2,1)),flip(a)]. 12810 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(285,a,5785,a,b,12799,a),flip(a)]. 12811 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12799(a,1),1191(a,1,2,1))]. 12812 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6764(a,1),12799(a,2,1))]. 12813 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(8244(a,1),12799(a,1,2))]. 12814 a(x,y,x) \ x = L(x,y,x). [hyper(10928,a,12782,a(flip))]. 12815 (x * y) / L(y,z,y) = x * a(y,z,y). [para(16(a,1),12782(a,1,1)),flip(a)]. 12816 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9688,a,12788,a)]. 12818 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12816(a,2),12792(a,1))]. 12819 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(66,a,9363,a(flip),b,12789,a)]. 12820 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(66,a,9207,a(flip),b,12789,a)]. 12821 x * (y * a(x,z,x)) = R(x,z,x) * y. [hyper(124,a,12789,a(flip),b,1148,a)]. 12822 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(123,a,12789,a(flip),b,9207,a(flip))]. 12823 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(14(a,1),12789(a,1,2)),flip(a)]. 12824 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5527(a,1),12789(a,1,2))]. 12825 R(x,y,x) * (K(x,z) * (x \ u)) = K(x,z) * (u * a(x,y,x)). [para(12789(a,1),6263(a,2,2))]. 12826 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12789(a,1),9362(a,1,1))]. 12827 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(12815(a,1),11613(a,1,2))]. 12828 R(x,y,x) / x = a(x,y,x). [hyper(121,a,12820,a(flip),b,1621,a(flip)),flip(a)]. 12829 (x * y) * a(y,z,y) = x * R(y,z,y). [para(16(a,1),12820(a,1,1)),flip(a)]. 12830 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(12820(a,2),46(a,1))]. 12832 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1581(a,1),12820(a,1,1))]. 12833 a(x,y,x) * x = R(x,y,x). [hyper(136,a,12828,a)]. 12834 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12828(a,1),11438(a,1,1)),flip(a)]. 12836 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12821(a,1),447(a,1,2))]. 12837 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(128,a,12823,a)]. 12839 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(128,a,12827,a)]. 12840 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(122,a,15,a(flip),b,12827,a),flip(a)]. 12841 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(17(a,1),12827(a,1,2)),flip(a)]. 12842 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(128,a,12829,a)]. 12844 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12829(a,1),447(a,1,2,2))]. 12845 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12829(a,1),5812(a,1,1,1,1)),flip(a)]. 12847 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(66,a,1245,a(flip),b,12839,a)]. 12848 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(37,a,1243,a,b,12841,a)]. 12849 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(285,a,12837,a,b,12842,a)]. 12850 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(122,a,12,a(flip),b,12847,a),flip(a)]. 12851 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(66,a,10916,a,b,12847,a)]. 12852 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8961(a,1),12847(a,1,2,1))]. 12853 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12850(a,1),7023(a,1,1,2))]. 12854 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(122,a,12848,a(flip),b,9205,a(flip))]. 12856 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10743,a,12784,a),flip(a)]. 12857 a(x,y,x) * z = z * a(x,y,x). [hyper(66,a,12783,a(flip),b,12784,a),flip(a)]. 12858 T(x,a(y,z,y)) = x. [hyper(224,a,12783,a(flip),b,12784,a(flip))]. 12859 T(a(x,y,x),z) = a(x,y,x). [hyper(224,a,12784,a(flip),b,12783,a(flip))]. 12861 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5785(a,2),12784(a,1,1))]. 12862 x / a(y,z,y) = a(y,z,y) \ x. [hyper(630,a,12858,a),flip(a)]. 12863 K(x,a(y,z,y)) = 1. [hyper(58,a,12858,a)]. 12865 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12858(a,1),226(a,1,2)),flip(b)]. 12867 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12858(a,1),630(a,1))]. 12868 x * K(y,a(z,u,z)) != w | x = w. [para(12863(a,2),133(a,1,2))]. 12869 T(a(x,y,x),z) = T(a(x,y,x),u). [hyper(285,a,12859,a,b,12859,a)]. 12870 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(285,a,12777,a,b,12859,a),flip(a)]. 12871 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12859(a,1),223(a,1,2,1)),flip(a)]. 12873 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(285,a,12823,a(flip),b,12857,a),flip(a)]. 12874 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12862(a,1),12854(a,1,2))]. 12876 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3532(a,1),12870(a,2,2))]. 12880 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12873(a,1),479(a,1,1,1))]. 12882 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(15(a,1),12785(a,1,2,1,1))]. 12883 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6626(a,2),12786(a,1,2,1))]. 12884 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4427(a,1),12861(a,1,2))]. 12885 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(66,a,11943,a(flip),b,12883,a)]. 12886 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(133,a,12885,a),flip(a)]. 12888 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12886(a,2),12885(a,1,1))]. 12889 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(122,a,14,a(flip),b,12888,a)]. 12890 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(285,a,12857,a(flip),b,12889,a),flip(a)]. 12891 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12886(a,1),12890(a,1,1))]. 12892 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(66,a,12765,a(flip),b,12771,a),flip(a)]. 12894 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [hyper(122,a,5671,a(flip),b,12892,a),flip(a)]. 12895 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(37,a,5360,a(flip),b,12892,a),flip(a)]. 12896 L(x,y,K(z,z \ y)) = x. [hyper(5569,a,12895,a)]. 12898 L(x,y * z,K(z,y)) = x. [para(5336(a,1),12896(a,1,3))]. 12899 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(66,a,4624,a(flip),b,12898,a)]. 12900 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(66,a,6157,a,b,12899,a),flip(a)]. 12905 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(185,a,12900,a(flip))]. 12907 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12795(a,1),12804(a,1,1))]. 12908 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [hyper(124,a,12851,a(flip),b,5534,a)]. 12909 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12851(a,2),46(a,1))]. 12910 T(x,R(a(y,z,y),u,w)) = x. [hyper(228,a,12871,a)]. 12911 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(38,a,12770,a,b,12764,a),flip(a)]. 12914 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12882(a,1),5563(a,1,2))]. 12915 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(12907(a,1),1799(a,1,1)),flip(a)]. 12916 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(12762(a,1),8276(a,1,2,2))]. 12917 R(x / y,y,a(y,z,y)) = x / y. [hyper(66,a,12822,a(flip),b,12793,a),flip(a)]. 12919 R((x * y) / y,y,a(y,z,y)) = x. [hyper(285,a,16,a(flip),b,12917,a),flip(a)]. 12920 R(x,y,a(y,z,y)) = x. [para(16(a,1),12919(a,1,1))]. 12923 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12920(a,1),663(a,1,1,1)),flip(a)]. 12924 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12836,a,12849,a)]. 12926 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(285,a,154,a(flip),b,12924,a),flip(a)]. 12927 L(a(x,y,x),z,x) = (u * T(x,w)) \ ((u * K(x,w)) * R(x,y,x)). [para(6311(a,1),12924(a,2,1))]. 12928 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(66,a,10367,a(flip),b,12853,a)]. 12929 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(285,a,9095,a(flip),b,12928,a),flip(a)]. 12932 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(66,a,7018,a(flip),b,12929,a)]. 12933 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(12932(a,1),112(a,1,1)),flip(a)]. 12934 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12820(a,2),12908(a,1,2))]. 12935 (a(x,y,x) * K(x,z)) * u = K(x,z) * (a(x,y,x) * u). [para(10244(a,1),12933(a,1,1))]. 12936 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(285,a,10023,a,b,12914,a),flip(a)]. 12937 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12781(a,1),12803(a,1,1)),flip(a)]. 12938 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(66,a,12857,a,b,12937,a)]. 12939 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * (y \ T(x,K(y,z))))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [hyper(122,a,12825,a,b,446,a)]. 12940 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12909,a,12852,a),flip(a)]. 12942 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12624(a,1),12876(a,2,2))]. 12943 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,9706,a(flip),b,12934,a)]. 12944 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(66,a,12824,a(flip),b,12943,a)]. 12945 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12943(a,1),9414(a,1,2))]. 12946 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,12857,a,b,12944,a)]. 12947 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * (K(x,w) * R(x,y,x))). [para(6338(a,1),12927(a,2,2))]. 12948 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * R(T(x,w),y,x)). [para(9210(a,1),12947(a,2,2,2))]. 12949 (x * T(y,z)) \ (x * R(T(y,z),u,y)) = a(y,u,y). [hyper(4902,a,12948,a)]. 12950 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = a(y,u,y). [para(6321(a,1),12949(a,1,1))]. 12951 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5667,a,12722,a),flip(a)]. 12952 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(7550,a,12951,a),flip(a)]. 12953 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(66,a,8664,a,b,12952,a)]. 12954 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(15(a,1),12952(a,1,1,2,2))]. 12955 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(17(a,1),12953(a,1,1,2,1)),flip(a)]. 12956 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(6026(a,1),12954(a,1,1,1))]. 12957 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(15(a,1),12747(a,1,3)),flip(a)]. 12958 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(12957(a,1),12320(a,1,2))]. 12959 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(285,a,12955,a(flip),b,12956,a),flip(a)]. 12960 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(66,a,5923,a,b,12959,a)]. 12961 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(11695,a,12958,a),flip(a)]. 12962 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(285,a,12911,a(flip),b,12961,a),flip(a)]. 12964 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(66,a,10573,a(flip),b,12962,a)]. 12965 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(66,a,12960,a(flip),b,12964,a)]. 12966 K(R(x,y,z),y) = K(y \ (y * x),y). [para(14(a,1),12964(a,1,1,1))]. 12967 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(285,a,12966,a,b,12966,a)]. 12969 K(R(x,y,z),y) = K(x,y). [hyper(285,a,625,a(flip),b,12966,a),flip(a)]. 12970 K(R(x,y,z),y) != u | K(x,y) = u. [para(12966(a,2),10996(a,1))]. 12971 K(x,R(y,x,z)) = K(x,y). [hyper(11081,a,12969,a)]. 12974 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9024,a(flip),b,12969,a)]. 12978 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(66,a,12736,a,b,12971,a)]. 12979 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(66,a,8980,a(flip),b,12971,a)]. 12982 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12971(a,1),12262(a,1,2,2))]. 12992 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(12967(a,1),9023(a,1,2)),flip(a)]. 12995 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(9860(a,1),12970(a,1))]. 12998 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(12978(a,1),12743(a,1,2)),flip(a)]. 12999 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(66,a,12605,a,b,12965,a)]. 13000 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(66,a,11197,a,b,12965,a)]. 13001 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(66,a,9603,a,b,12965,a)]. 13002 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(66,a,12953,a(flip),b,12965,a),flip(a)]. 13004 K(x,L(T(x \ y,z),x,z)) = K(x,x \ ((z * y) / z)). [hyper(66,a,9907,a,b,12979,a)]. 13005 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(66,a,9593,a,b,12979,a)]. 13006 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(66,a,8679,a(flip),b,12979,a)]. 13007 T(x,R(y,x,z)) = T(x,y). [hyper(285,a,9083,a(flip),b,12992,a),flip(a)]. 13011 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(494(a,1),13007(a,1,2))]. 13012 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(13007(a,1),9027(a,1,1))]. 13013 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(13001(a,1),7790(a,1,1))]. 13014 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(14(a,1),13005(a,1,2,1)),flip(a)]. 13015 K(x \ y,((y / x) \ z) / u) = K(x \ y,(x \ y) \ (z / u)). [hyper(66,a,10305,a,b,13006,a)]. 13016 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(13006(a,1),12721(a,1,2))]. 13017 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(7552,a,12974,a)]. 13018 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11563(a,2),12995(a,1))]. 13020 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(12999(a,1),6115(a,1,1,1,1,2))]. 13021 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(13000(a,1),5805(a,1,2,1,2)),flip(a)]. 13022 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(13002(a,1),10130(a,1,2)),flip(a)]. 13023 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(66,a,10725,a(flip),b,13012,a)]. 13024 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5379(a,1),13012(a,2,2))]. 13027 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7726,a,13013,a)]. 13028 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(66,a,10470,a(flip),b,13027,a)]. 13029 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(13028(a,1),7399(a,1,1,2)),flip(a)]. 13030 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5180,a,13016,a),flip(a)]. 13031 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(285,a,7399,a(flip),b,13029,a),flip(a)]. 13032 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(8426,a,13031,a)]. 13033 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(87(a,1),13032(a,1,2,1,2)),flip(a)]. 13034 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(66,a,9457,a,b,13033,a)]. 13035 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(12971(a,1),13017(a,1,1))]. 13037 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ ((x * z) / x)). [hyper(66,a,9455,a,b,13015,a)]. 13038 K(x \ y,(x \ y) \ (y / z)) = K(x \ y,x / z). [para(90(a,1),13015(a,1,2,1)),flip(a)]. 13039 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(66,a,10647,a(flip),b,13023,a),flip(a)]. 13040 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(285,a,10502,a(flip),b,13022,a),flip(a)]. 13042 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(285,a,12971,a(flip),b,12735,a),flip(a)]. 13044 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(66,a,9915,a(flip),b,13042,a)]. 13045 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3831(a,2),13044(a,1,2,1,2))]. 13046 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(15(a,1),12894(a,1,2,1,2))]. 13047 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(66,a,11156,a(flip),b,13046,a),flip(a)]. 13048 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12926(a,2,2))]. 13049 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(12073(a,1),13047(a,1,2))]. 13050 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [hyper(138,a,13049,a),flip(a)]. 13051 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(10021(a,1),12805(a,1,2,2))]. 13052 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(122,a,12936,a(flip),b,103,a)]. 13053 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5666,a,12945,a),flip(a)]. 13054 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(116(a,1),13051(a,1,2)),flip(a)]. 13055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(66,a,32,a,b,13011,a)]. 13056 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4814(a,1),13034(a,2,2))]. 13057 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(285,a,4123,a(flip),b,13055,a),flip(a)]. 13058 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(285,a,10437,a(flip),b,13056,a),flip(a)]. 13059 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(285,a,10067,a(flip),b,13058,a),flip(a)]. 13060 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(285,a,32,a,b,13057,a),flip(a)]. 13061 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13030(a,1),13060(a,1,1))]. 13062 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(16(a,1),13061(a,1,1,2,2)),flip(a)]. 13063 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(54,a,13062,a)]. 13064 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(13062(a,1),332(a,1,2))]. 13065 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(13062(a,1),5643(a,1,2,1))]. 13066 T(x,x \ R(x,y,z)) = x. [hyper(192,a,13063,a),flip(a)]. 13068 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(124,a,13066,a(flip),b,117,a(flip))]. 13069 R(x,y,z) / x = x \ R(x,y,z). [para(13066(a,1),249(a,1,2))]. 13070 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(13066(a,1),5137(a,1,1,1)),flip(a)]. 13071 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(13066(a,1),5179(a,1,2,1)),flip(a)]. 13072 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12787(a,1),13068(a,1,1))]. 13073 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(13069(a,1),493(a,1,1))]. 13074 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(13069(a,1),9343(a,1,1))]. 13075 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(13069(a,1),11807(a,1,2,2))]. 13076 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7453(a,1),13072(a,1,2)),flip(a)]. 13079 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(597(a,1),13064(a,1,2,1))]. 13081 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(180,a,13079,a)]. 13083 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(87(a,1),13081(a,1,1,1,1)),flip(a)]. 13084 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(13081(a,1),9680(a,1,2,1)),flip(a)]. 13086 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5806(a,1),13083(a,2,1))]. 13087 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(7514(a,1),13083(a,1,1)),flip(a)]. 13088 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(66,a,8918,a,b,13087,a)]. 13089 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6133(a,1),13087(a,1,1))]. 13090 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7681(a,2),13088(a,2,1))]. 13091 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(112(a,1),13089(a,1,1))]. 13093 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(13070(a,2),306(a,1))]. 13095 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(285,a,79,a(flip),b,13071,a),flip(a)]. 13097 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(13095(a,1),8316(a,1,1,2))]. 13098 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7681(a,2),13091(a,2,1))]. 13099 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8330(a,1),13098(a,2,1))]. 13100 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5334(a,1),13073(a,1,1))]. 13101 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(13073(a,2),8083(a,1,1))]. 13102 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(13073(a,1),9021(a,2,2))]. 13103 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(13076(a,2),47(a,1))]. 13104 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(11081,a,13101,a)]. 13105 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5458(a,1),13101(a,2,2))]. 13106 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(13101(a,1),10114(a,2,2))]. 13107 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(66,a,5643,a(flip),b,13065,a),flip(a)]. 13108 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(66,a,6485,a(flip),b,13107,a),flip(a)]. 13111 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(13107(a,1),5097(a,1,1,2))]. 13112 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(285,a,7796,a(flip),b,12769,a),flip(a)]. 13113 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(27(a,2),13112(a,1,1,3))]. 13114 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7761(a,1),13113(a,2,1))]. 13115 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(66,a,7018,a(flip),b,13114,a)]. 13116 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),6588(a,2,2))]. 13117 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),8554(a,2,2))]. 13118 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13116,a),flip(a)]. 13119 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7682(a,1),13118(a,2,2))]. 13120 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(66,a,6581,a(flip),b,13119,a)]. 13121 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13120(a,2),46(a,1))]. 13122 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(66,a,12889,a(flip),b,12845,a),flip(a)]. 13123 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12834(a,1),13122(a,1,1,1)),flip(a)]. 13124 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(285,a,13083,a,b,13123,a),flip(a)]. 13125 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12372(a,1),13124(a,2,1))]. 13126 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12868,a,13125,a),flip(a)]. 13128 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(66,a,470,a,b,13126,a)]. 13129 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [hyper(66,a,114,a,b,13126,a)]. 13130 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(7286(a,1),12982(a,2,2))]. 13132 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(8406(a,1),13130(a,1,2))]. 13133 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(285,a,5805,a(flip),b,13021,a),flip(a)]. 13134 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(66,a,10281,a(flip),b,13133,a)]. 13136 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(285,a,13108,a(flip),b,13134,a),flip(a)]. 13137 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(11497,a,13136,a),flip(a)]. 13139 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(66,a,6720,a(flip),b,13137,a),flip(a)]. 13140 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(66,a,12086,a(flip),b,13139,a)]. 13141 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(285,a,12097,a(flip),b,13140,a),flip(a)]. 13142 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(32(a,2),13141(a,1,2))]. 13143 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(66,a,6959,a(flip),b,13142,a)]. 13144 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(285,a,10698,a(flip),b,13143,a),flip(a)]. 13145 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(66,a,8542,a(flip),b,13144,a)]. 13146 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2090(a,1),13145(a,2,2,1))]. 13147 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(13146(a,1),11464(a,1,1,2))]. 13148 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(285,a,7761,a(flip),b,12717,a),flip(a)]. 13149 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(285,a,1086,a(flip),b,12942,a),flip(a)]. 13150 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(285,a,1514,a(flip),b,13149,a),flip(a)]. 13151 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9704(a,1),13150(a,2,1,2))]. 13152 (x * R(x \ y,z,x \ y)) / y != u | T(a(1 / (x / y),z,1 / (x / y)),w) = u. [para(13151(a,1),4222(a,1))]. 13153 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(66,a,6115,a(flip),b,13020,a),flip(a)]. 13154 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(66,a,8123,a(flip),b,13153,a),flip(a)]. 13155 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(66,a,13040,a(flip),b,13154,a),flip(a)]. 13157 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(285,a,626,a(flip),b,13155,a),flip(a)]. 13159 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(4611(a,1),13157(a,1,1))]. 13160 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(13159(a,1),11470(a,1,2))]. 13161 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(66,a,12596,a(flip),b,13160,a)]. 13163 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7682(a,1),13161(a,1,2))]. 13164 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(66,a,6246,a,b,13163,a)]. 13165 L(x,y \ 1,K(z,y)) = x. [hyper(5648,a,13164,a)]. 13166 L(x,y,K(z,y \ 1)) = x. [hyper(66,a,7072,a(flip),b,13165,a)]. 13167 L(x,y \ 1,K(z,y)) != u | x = u. [para(13165(a,1),53(a,2))]. 13168 L(x,y,K(z,y \ 1)) != u | x = u. [para(13166(a,1),53(a,2))]. 13170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5193(a,1),13074(a,2,1))]. 13171 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12777(a,1),13170(a,1,1))]. 13172 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(285,a,9366,a,b,13171,a)]. 13173 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(13103,a,13172,a)]. 13174 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(13173(a,1),13129(a,1,1,1,1))]. 13175 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(13171(a,1),13174(a,1,1,1))]. 13176 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(593(a,1),13175(a,1,1))]. 13177 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(285,a,13173,a(flip),b,13176,a),flip(a)]. 13178 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(13152,a,13177,a)]. 13179 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11508(a,1),13178(a,1,1))]. 13180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(285,a,6304,a(flip),b,13086,a),flip(a)]. 13181 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6302(a,1),13180(a,1,1)),flip(a)]. 13182 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(13181(a,1),12819(a,1,2))]. 13183 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(187(a,1),13097(a,1,1))]. 13185 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7396(a,1),13183(a,1,2))]. 13186 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6966(a,1),13185(a,1,2)),flip(a)]. 13187 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(285,a,12,a(flip),b,13186,a),flip(a)]. 13188 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5452,a,13187,a)]. 13189 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6076(a,1),13188(a,1,2,2))]. 13190 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(10159(a,1),13188(a,1,1))]. 13191 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11625(a,1),13188(a,1,1))]. 13192 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5653,a,13191,a)]. 13193 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10040(a,1),13191(a,1,2,2))]. 13194 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(11744,a,13192,a)]. 13196 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(11748(a,1),13193(a,1,2))]. 13197 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5453,a,13196,a)]. 13198 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(13196(a,1),5453(a,1)),flip(b)]. 13200 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,13194,a,b,13197,a)]. 13201 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(66,a,13039,a(flip),b,13197,a)]. 13203 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(13201(a,1),10544(a,1,1))]. 13205 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(13200(a,1),11764(a,1,1)),flip(a)]. 13206 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(51,a,13205,a)]. 13208 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(7546,a,13206,a),flip(a)]. 13209 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(285,a,8826,a,b,13206,a)]. 13210 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(66,a,7001,a,b,13206,a)]. 13212 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(13194(a,2),13198(a,1))]. 13213 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(13212,a,13208,a),flip(a)]. 13215 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(285,a,11773,a(flip),b,13213,a),flip(a)]. 13216 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(285,a,10620,a(flip),b,13104,a),flip(a)]. 13217 K(a(x,y,z),x) = 1. [hyper(13093,a,13216,a),flip(a)]. 13220 T(a(x,y,z),x) = a(x,y,z). [hyper(59,a,13217,a)]. 13221 T(x,a(x,y,z)) = x. [hyper(57,a,13220,a)]. 13222 a(x,y,z) * x = x * a(x,y,z). [hyper(124,a,13220,a(flip),b,27,a(flip)),flip(a)]. 13223 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3935(a,2),13220(a,1,1))]. 13224 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(13221(a,1),222(a,1,2,1)),flip(a)]. 13225 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(66,a,11150,a(flip),b,13222,a),flip(a)]. 13226 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(66,a,13179,a(flip),b,13223,a),flip(a)]. 13227 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(13224(a,1),1564(a,2,2,1,2)),flip(a)]. 13228 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(13225(a,1),11151(a,1,2,2))]. 13229 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(66,a,7150,a(flip),b,13228,a)]. 13230 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(66,a,12916,a,b,13229,a)]. 13231 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(285,a,11268,a(flip),b,13230,a),flip(a)]. 13233 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(66,a,9856,a,b,13231,a)]. 13234 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5798(a,1),13111(a,1,1))]. 13235 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,32,a,b,13234,a)]. 13236 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5097(a,1),13235(a,1,1)),flip(a)]. 13237 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(285,a,34,a(flip),b,13236,a),flip(a)]. 13238 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(13237(a,1),1825(a,1,1,1)),flip(a)]. 13239 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5798(a,1),13147(a,1,1))]. 13240 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5785(a,1),13239(a,1,1,1,2))]. 13241 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(66,a,32,a,b,13240,a)]. 13242 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(5719(a,1),13241(a,1,1)),flip(a)]. 13243 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(285,a,9222,a(flip),b,13148,a),flip(a)]. 13244 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(8426,a,13243,a)]. 13245 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(66,a,10806,a(flip),b,13244,a)]. 13247 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(66,a,11531,a(flip),b,13245,a)]. 13248 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9575,a,13247,a),flip(a)]. 13250 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(161(a,1),13247(a,2,2))]. 13251 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(13247(a,1),6670(a,1))]. 13252 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(66,a,12544,a(flip),b,13250,a)]. 13254 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(14(a,1),13252(a,2,2))]. 13255 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10873,a(flip),b,13254,a),flip(a)]. 13257 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(66,a,10492,a,b,13255,a)]. 13259 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(66,a,8928,a(flip),b,13257,a)]. 13260 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(79(a,1),13248(a,1,2,2))]. 13261 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9295(a,1),13189(a,1,1))]. 13262 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5125(a,2),13261(a,1,2))]. 13264 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6120(a,1),13262(a,1,1))]. 13265 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(285,a,9211,a(flip),b,13264,a),flip(a)]. 13266 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2232,a,13265,a)]. 13268 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(13266(a,1),11904(a,1,1,2))]. 13270 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(355(a,1),13233(a,2,2))]. 13271 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(285,a,9032,a(flip),b,13270,a),flip(a)]. 13273 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(66,a,8710,a(flip),b,13271,a)]. 13275 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12940(a,1),12813(a,1,1)),flip(a)]. 13276 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(66,a,10392,a(flip),b,13275,a),flip(a)]. 13278 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7782,a,13276,a)]. 13280 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(28(a,1),13278(a,1,2,2))]. 13281 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8565(a,1),13278(a,1,1,2))]. 13282 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(9341(a,1),13278(a,1,1))]. 13283 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9769(a,1),13278(a,1,1))]. 13284 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(13280(a,1),47(a,1))]. 13285 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6421(a,1),13106(a,1,2))]. 13286 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(66,a,10159,a(flip),b,13285,a)]. 13287 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7681(a,2),13190(a,1,2,2,1))]. 13288 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(32(a,2),13210(a,1,1))]. 13289 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5334(a,1),13287(a,1,2))]. 13290 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,13215,a(flip),b,13288,a),flip(a)]. 13291 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(13290(a,1),11753(a,1,1))]. 13292 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(285,a,7720,a(flip),b,13291,a),flip(a)]. 13293 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(38,a,11796,a,b,13289,a),flip(a)]. 13295 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2720(a,1),13293(a,1,2,2))]. 13296 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(285,a,7908,a,b,13295,a),flip(a)]. 13297 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(13295(a,1),7888(a,1,2)),flip(a)]. 13298 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),13296(a,1,2,2))]. 13299 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7145(a,1),13298(a,1,2)),flip(a)]. 13300 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(66,a,10119,a,b,13299,a)]. 13301 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(66,a,7908,a,b,13299,a)]. 13302 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7764(a,1),13299(a,1,2)),flip(a)]. 13303 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(17(a,1),13300(a,2,2,2))]. 13304 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(285,a,7908,a,b,13301,a),flip(a)]. 13305 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(285,a,7881,a,b,13303,a),flip(a)]. 13306 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(66,a,10280,a(flip),b,13304,a),flip(a)]. 13307 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(66,a,10189,a(flip),b,13305,a)]. 13309 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(13307(a,1),8942(a,1,1))]. 13310 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(13307(a,1),9924(a,1,1))]. 13311 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(13310(a,1),4783(a,1)),flip(b)]. 13312 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7908(a,1),13310(a,1,1))]. 13314 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7331(a,2),13311(a,1))]. 13315 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7761(a,1),13311(a,1,2))]. 13318 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7861(a,2),13311(a,1))]. 13321 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7884(a,1),13311(a,1))]. 13322 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7884(a,2),13311(a,1))]. 13328 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(10124(a,1),13311(a,1))]. 13329 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10277(a,1),13311(a,1))]. 13330 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(10665(a,2),13311(a,1))]. 13341 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(66,a,10157,a(flip),b,13312,a)]. 13345 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(87(a,1),13341(a,1,2,2,2))]. 13346 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7927,a,13309,a)]. 13347 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(87(a,1),13309(a,1,2)),flip(a)]. 13349 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7859(a,1),13346(a,1,1))]. 13350 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7884(a,1),13347(a,2,1))]. 13351 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8945,a,13349,a)]. 13352 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(180,a,13350,a)]. 13353 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11363(a,1),13351(a,1,1,1,1))]. 13355 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(5283,a,13352,a)]. 13356 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(56,a,13355,a)]. 13357 a(K(x * y,K(z,u)),x,y) = 1. [para(14(a,1),13356(a,1,3))]. 13358 a(K(K(x,y),z),u,u \ z) = 1. [para(7331(a,2),13356(a,1,1))]. 13359 a(K(x,K(y,z * u)),z,u) = 1. [para(7859(a,1),13357(a,1,1))]. 13360 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(285,a,7925,a,b,13358,a),flip(a)]. 13361 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(285,a,7862,a(flip),b,13297,a),flip(a)]. 13362 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(66,a,12261,a(flip),b,13361,a)]. 13363 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8235(a,2),13315(a,1))]. 13364 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10261(a,2),13328(a,1))]. 13366 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7761(a,1),13302(a,1,2))]. 13368 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7990(a,1),13362(a,1,2)),flip(a)]. 13369 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8014(a,1),13368(a,1,2)),flip(a)]. 13370 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10198,a,13369,a),flip(a)]. 13371 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(7145(a,1),13369(a,1,2)),flip(a)]. 13372 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(66,a,8532,a(flip),b,13371,a),flip(a)]. 13373 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13372(a,1),5306(a,1,1))]. 13375 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9953(a,2),13363(a,1))]. 13376 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10090,a,13370,a),flip(a)]. 13377 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(10068,a,13376,a)]. 13378 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(285,a,5130,a(flip),b,13377,a),flip(a)]. 13379 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5207,a,13378,a)]. 13380 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13379(a,1),13259(a,1,1))]. 13381 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(17(a,1),13306(a,1,2,1)),flip(a)]. 13382 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(13345(a,1),13360(a,2,2))]. 13383 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(13321,a,13381,a)]. 13384 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(66,a,13366,a(flip),b,13383,a)]. 13385 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(13384(a,1),7915(a,2,2))]. 13386 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(7881(a,1),13385(a,2,2))]. 13387 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7884(a,2),13382(a,2,2))]. 13388 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7331(a,1),13387(a,1,1))]. 13389 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(285,a,11986,a(flip),b,13388,a)]. 13390 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(285,a,13359,a(flip),b,13389,a),flip(a)]. 13391 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(66,a,12267,a(flip),b,13390,a)]. 13392 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(14(a,1),13391(a,1,2,2,2,3))]. 13393 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8288(a,1),13380(a,1,1,2))]. 13394 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7700(a,1),13393(a,1,1)),flip(a)]. 13395 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(285,a,10572,a(flip),b,13394,a),flip(a)]. 13397 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(462(a,1),13395(a,1,2,1,1)),flip(a)]. 13398 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(7551,a,13397,a)]. 13399 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(66,a,10673,a(flip),b,13398,a),flip(a)]. 13401 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(66,a,13247,a(flip),b,13399,a)]. 13402 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(79(a,1),13401(a,1,2,2))]. 13403 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(66,a,6110,a(flip),b,13402,a)]. 13405 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13403(a,2),5320(a,1,1))]. 13406 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6137,a,13405,a)]. 13407 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(355(a,2),13406(a,2,2)),flip(a)]. 13408 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(66,a,12039,a(flip),b,13100,a),flip(a)]. 13410 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12829(a,1),12923(a,2,2))]. 13411 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(285,a,12826,a(flip),b,13410,a),flip(a)]. 13413 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(12858(a,1),13411(a,1,1))]. 13415 L(x,a(x,y,x),z) = x. [para(12919(a,1),13413(a,1,3))]. 13416 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(13415(a,1),410(a,1,2,1))]. 13417 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5150(a,1),13024(a,1,1)),flip(a)]. 13418 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5150(a,1),13417(a,2,2,1))]. 13419 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),13048(a,2,2,1))]. 13421 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12789(a,1),13419(a,2,2))]. 13422 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(285,a,14,a(flip),b,13421,a),flip(a)]. 13423 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4902,a,13422,a),flip(a)]. 13425 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12858(a,1),12809(a,2,1,1))]. 13427 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12859(a,1),13425(a,1,1))]. 13429 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12858(a,1),13427(a,1,2)),flip(a)]. 13430 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(66,a,13054,a,b,13429,a)]. 13431 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5150(a,1),13430(a,1,1,2)),flip(a)]. 13432 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5150(a,1),13431(a,2,2))]. 13433 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4481(a,1),13099(a,1,1))]. 13434 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4555(a,1),13182(a,1,2,1)),flip(a)]. 13435 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7997(a,1),13433(a,1,1,2))]. 13436 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9528,a,13435,a),flip(a)]. 13438 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9568(a,1),13436(a,1,1))]. 13439 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(66,a,9867,a(flip),b,13438,a)]. 13440 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(66,a,7033,a(flip),b,13438,a)]. 13441 R(K(x,y),L(x,z,u),w) = v5 / (K(y,x) * v5). [para(13438(a,1),6135(a,1,2,1)),flip(a)]. 13443 R(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,5448,a(flip),b,13441,a),flip(a)]. 13444 K(x,(L(x,y,z) * u) / w) = K(x,(w / u) \ L(x,y,z)). [hyper(66,a,6583,a(flip),b,13443,a)]. 13446 K(((x * y) / x) \ L(z,u,w),z) = K(L(z,u,w) * (y \ K(y,x)),z). [para(5413(a,1),13439(a,1,1,2)),flip(a)]. 13447 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(285,a,6481,a(flip),b,13440,a),flip(a)]. 13449 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,9534,a(flip),b,13444,a),flip(a)]. 13450 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(L(x,w,v5) * u) / z). [hyper(66,a,7188,a(flip),b,13444,a),flip(a)]. 13451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(66,a,10735,a,b,13447,a)]. 13452 T(x,y) \ T(x * K((z / u) \ L(x,w,v5),x),y) = K((L(x,w,v5) * u) / z,T(x,y)). [para(13447(a,1),5722(a,1,2,1,2))]. 13453 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(8429,a,13451,a)]. 13454 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(10963,a,13453,a)]. 13455 K(x / (y / L(z,u,w)),z) = K((y / x) \ L(z,u,w),z). [hyper(66,a,10353,a,b,13454,a)]. 13456 K((x * L(y,z,u)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,9514,a,b,13455,a)]. 13457 K((x * T(L(y,z,u),w)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,10355,a,b,13456,a)]. 13458 K((x * L(T(y,z),u,w)) / z,y) = K((z / x) \ L(y,u,w),y). [para(30(a,2),13457(a,1,1,1,2))]. 13459 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(z / u) \ L(x,w,v5)). [hyper(285,a,13444,a(flip),b,13450,a),flip(a)]. 13460 K(x,((y * (z * (1 / (1 / (z \ (y \ u)))))) / w) \ L(x,v5,v6)) = K(x,(u / w) \ L(x,v5,v6)). [para(2784(a,1),13459(a,1,2,1,1))]. 13461 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(w \ 1,u)). [hyper(285,a,9530,a(flip),b,13449,a),flip(a)]. 13463 K((L(x,y,z) * u) / w,T(x,v5)) = K((w / u) \ L(x,y,z),T(x,v5)). [hyper(5865,a,13452,a),flip(a)]. 13465 K((x / y) \ L(z,u,w),T(z,y)) != v5 | K(x \ (L(z,u,w) * y),z) = v5. [para(13463(a,1),10988(a,1))]. 13466 K(x,T((1 / (1 / (y \ (L(x,z,u) \ w)))) \ 1,y)) = K(x,(w / y) \ L(x,z,u)). [hyper(66,a,13461,a(flip),b,13460,a)]. 13467 K(x,T(1 / (y \ (L(x,z,u) \ w)),y)) = K(x,(w / y) \ L(x,z,u)). [para(90(a,1),13466(a,1,2,1))]. 13468 K(x,y / (L(x,z,u) \ w)) = K(x,(w / y) \ L(x,z,u)). [hyper(10991,a,13467,a)]. 13470 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9716(a,2),12807(a,1,2,2))]. 13471 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * T(y \ x,K(y,z)))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(12475(a,2),12939(a,1,2,2,2))]. 13472 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12833(a,1),13128(a,1,1,1))]. 13473 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(473(a,1),13472(a,1,1))]. 13474 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(285,a,1825,a(flip),b,13238,a),flip(a)]. 13475 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(32(a,2),13474(a,2,3))]. 13476 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10283(a,1),13282(a,1,1)),flip(a)]. 13477 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7687(a,1),13476(a,2,2))]. 13479 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(66,a,13423,a(flip),b,13477,a),flip(a)]. 13481 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(28(a,1),13479(a,1,1,2))]. 13482 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(4604(a,1),13283(a,1,1))]. 13483 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5547(a,2),13353(a,1,1))]. 13484 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(13314,a,13483,a)]. 13485 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(66,a,13301,a(flip),b,13484,a)]. 13486 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(17(a,1),13485(a,1,2,2)),flip(a)]. 13487 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(13322,a,13486,a)]. 13488 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(103(a,1),13470(a,1,2)),flip(a)]. 13489 (x * K(y,z)) \ (R(y,u,y) * ((y \ x) * K(y,z))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(116(a,1),13471(a,1,2,2))]. 13490 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(11180(a,1),13489(a,1,2))]. 13491 L(a(x,y,x),T(z,K(x,u)),K(x,u)) = a(x,y,x). [hyper(66,a,12950,a(flip),b,13490,a),flip(a)]. 13493 L(a(x,y,x),z,K(x,u)) = a(x,y,x). [para(208(a,1),13491(a,1,2))]. 13495 x \ (K(y,z) \ ((a(y,u,y) * K(y,z)) * x)) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(13493(a,1),1127(a,1,2,2,1,1))]. 13497 x \ (K(y,z) \ (K(y,z) * (a(y,u,y) * x))) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(12935(a,1),13495(a,1,2,2))]. 13498 R(T(a(x,y,x),K(x,z) * u),K(x,z),u) = u \ (a(x,y,x) * u). [para(14(a,1),13497(a,1,2)),flip(a)]. 13501 R(T(a(x,y,x),z),K(x,u),w) = w \ (a(x,y,x) * w). [para(12869(a,1),13498(a,1,1))]. 13502 R(T(a(x,y,x),z),K(x,u),w) = T(a(x,y,x),w). [hyper(285,a,27,a,b,13501,a),flip(a)]. 13505 R(a(x,y,x),K(x,z),u) = a(x,y,x). [hyper(144,a,13502,a(flip))]. 13506 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12468(a,1),13482(a,1,1))]. 13507 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5830(a,1),13506(a,1,2))]. 13508 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8391(a,1),13507(a,1,2))]. 13509 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(285,a,13226,a(flip),b,13508,a),flip(a)]. 13510 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12840(a,1),13052(a,1,1))]. 13511 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(7646(a,1),13510(a,1,1))]. 13513 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(13511(a,1),304(a,1)),flip(b)]. 13515 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13117,a),flip(a)]. 13516 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7682(a,1),13515(a,2,2))]. 13517 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13516(a,1,1,2,2,1))]. 13518 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8538(a,1),13517(a,1,1,2))]. 13519 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7693(a,1),13518(a,1,1))]. 13520 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13519(a,1,2,1,1,1))]. 13522 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13520(a,1),5279(a,1,2)),flip(a)]. 13523 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(285,a,5544,a(flip),b,13522,a),flip(a)]. 13524 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4072,a,13523,a)]. 13526 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(66,a,8396,a(flip),b,13524,a),flip(a)]. 13527 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13526(a,2),13132(a,1,1))]. 13528 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2539(a,1),13075(a,1,2)),flip(a)]. 13530 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8852(a,1),13528(a,1,2,1))]. 13531 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11803(a,1),13530(a,1,2)),flip(a)]. 13532 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8852(a,1),13531(a,2,3))]. 13533 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(66,a,13268,a(flip),b,13532,a),flip(a)]. 13535 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12777(a,1),13533(a,1,2))]. 13536 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12886(a,2),13535(a,1,3))]. 13537 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(492,a,13536,a)]. 13538 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12886(a,1),13537(a,1,2))]. 13539 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(285,a,12862,a(flip),b,13538,a),flip(a)]. 13540 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(13538(a,2),12867(a,1))]. 13541 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(66,a,9220,a(flip),b,13539,a),flip(a)]. 13542 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(8986(a,1),13209(a,1,1,2))]. 13543 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(586(a,1),13542(a,1,1))]. 13544 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(223(a,1),13543(a,1,2)),flip(a)]. 13545 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(285,a,1825,a(flip),b,13544,a),flip(a)]. 13546 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(32(a,2),13545(a,2,3))]. 13547 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(66,a,13206,a(flip),b,13546,a)]. 13548 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(13212,a,13547,a)]. 13550 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(66,a,11774,a(flip),b,13548,a),flip(a)]. 13552 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13475,a,b,13550,a)]. 13553 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12818,a,13552,a)]. 13554 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(13553(a,1),13434(a,1,2)),flip(a)]. 13555 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(27(a,2),13554(a,2,2,2))]. 13556 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(11773(a,1),13555(a,2,2))]. 13557 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8906(a,1),13281(a,1,1))]. 13558 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7995(a,1),13557(a,1,1))]. 13559 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9977(a,1),13558(a,1,1))]. 13560 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6468(a,1),13559(a,1,2))]. 13561 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8967(a,1),13560(a,1,2))]. 13562 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(66,a,13509,a(flip),b,13561,a),flip(a)]. 13563 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(9261(a,1),12832(a,1,2)),flip(a)]. 13564 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(285,a,12333,a(flip),b,13563,a),flip(a)]. 13566 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12789(a,1),13564(a,2,1))]. 13567 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(285,a,13416,a(flip),b,13566,a),flip(a)]. 13568 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12940(a,1),13567(a,1,2))]. 13570 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13568(a,1),13227(a,1,1))]. 13572 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13570(a,1),304(a,1)),flip(b)]. 13574 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(66,a,10509,a(flip),b,13045,a)]. 13575 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(66,a,5836,a(flip),b,13574,a)]. 13576 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(12683,a,13575,a)]. 13578 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(6321(a,1),13576(a,1,2,1))]. 13579 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(9881,a,13578,a),flip(a)]. 13580 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,12644,a(flip),b,13579,a),flip(a)]. 13581 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,8604,a(flip),b,13580,a),flip(a)]. 13583 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(285,a,9456,a(flip),b,13581,a),flip(a)]. 13584 K(x,L(y,x,z)) = K(x,y). [hyper(9884,a,13583,a),flip(a)]. 13586 K(x,L(y,x,z)) != u | K(x,y) = u. [para(13583(a,1),9884(a,1))]. 13587 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(9454,a,13584,a)]. 13589 K(L(x,y,z),y) = K(x,y). [hyper(66,a,8731,a,b,13584,a)]. 13591 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(66,a,13059,a(flip),b,13584,a)]. 13592 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [hyper(66,a,13004,a(flip),b,13584,a)]. 13595 L(x,y,z) * (K(y,L(x,y,z)) * u) = (L(x,y,z) * K(y,x)) * u. [para(13584(a,1),4409(a,1,1,2)),flip(a)]. 13600 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(66,a,9349,a(flip),b,13589,a)]. 13604 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9113(a,1),13586(a,1))]. 13605 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(10022(a,1),13586(a,1))]. 13607 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(13587(a,1),9415(a,1,2))]. 13609 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(285,a,11390,a,b,13591,a)]. 13610 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(285,a,4943,a,b,13591,a)]. 13611 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(124,a,13591,a,b,5125,a(flip))]. 13616 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(87(a,1),13600(a,1,1,1))]. 13621 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [para(15(a,1),13592(a,1,2,2,1)),flip(a)]. 13622 (x * K(y,y \ z)) * z = x * (y * (z / y)). [hyper(66,a,12998,a,b,13607,a)]. 13624 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(13609(a,1),5190(a,2,1)),flip(a)]. 13625 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(5180,a,13611,a)]. 13626 T(x,T(x \ y,z)) = (x \ T(y,z)) \ T(y,z). [hyper(285,a,117,a(flip),b,13625,a),flip(a)]. 13627 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(66,a,3038,a(flip),b,13625,a),flip(a)]. 13628 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(13627(a,1),249(a,1,2))]. 13629 K(x,T(x \ (y \ z),z)) = K(x,x \ (z / y)). [hyper(66,a,10401,a,b,13621,a)]. 13630 R(x,K(y,y \ z),z) = x. [hyper(5570,a,13622,a)]. 13631 R(x,K(y,z),z * y) = x. [para(5336(a,1),13630(a,1,2))]. 13632 x / (K(y,z) * (z * y)) = (x / (z * y)) * K(z,y). [hyper(66,a,7425,a(flip),b,13631,a)]. 13633 K(x,x \ (y / (y / z))) = K(x,T(x \ z,y)). [para(90(a,1),13629(a,1,2,1,2)),flip(a)]. 13634 K(x,x \ ((y * z) / y)) = K(x,x \ (y / (y / z))). [hyper(285,a,13592,a,b,13633,a)]. 13640 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(627,a,13628,a)]. 13641 (x / (y * z)) * K(y,z) = x / (z * y). [para(5146(a,1),13632(a,1,2)),flip(a)]. 13643 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(13641(a,1),6311(a,1,1)),flip(a)]. 13644 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(13641(a,1),6336(a,1,1))]. 13647 (x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y). [para(17(a,1),13643(a,1,1,2)),flip(a)]. 13648 (1 / (x * y)) * (T(x,y) * T(T(x,y) \ (x * y),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(13643(a,1),5966(a,2,1,1))]. 13649 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ (x / (x / z))). [hyper(66,a,13037,a,b,13634,a)]. 13650 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(66,a,7301,a(flip),b,13640,a),flip(a)]. 13651 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5410,a,13644,a)]. 13652 a((x * y) \ 1,y,x) / x = (1 / (y * x)) * y. [hyper(66,a,10252,a(flip),b,13651,a)]. 13653 1 / L(x,y,(x * y) \ 1) = (1 / (y * x)) * y. [hyper(66,a,12063,a(flip),b,13652,a)]. 13654 (1 / ((x \ y) * x)) * (x \ y) = 1 / L(x,x \ y,y \ 1). [para(15(a,1),13653(a,1,2,3,1)),flip(a)]. 13655 L(x,y,(x * y) \ 1) \ 1 = T((1 / (y * x)) * y,x). [para(13653(a,1),10458(a,1,1)),flip(a)]. 13656 1 / T((1 / (x * y)) * x,y) = L(y,x,(y * x) \ 1). [hyper(185,a,13655,a)]. 13657 L(x,y,(y * x) \ 1) = L(x,y,(x * y) \ 1). [hyper(10466,a,13656,a)]. 13658 L(x \ y,x,((x \ y) * x) \ 1) = L(x \ y,x,y \ 1). [para(15(a,1),13657(a,1,3,1)),flip(a)]. 13659 L(x,y / x,(x * (y / x)) \ 1) = L(x,y / x,y \ 1). [para(17(a,1),13657(a,1,3,1)),flip(a)]. 13660 (x / (y * (z / y))) * (z / y) = (x / z) * (y \ z). [para(118(a,1),13647(a,2,2))]. 13661 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(y / x,x). [para(13660(a,1),5883(a,1,1)),flip(a)]. 13662 L(x \ y,x,((x \ y) * x) \ 1) = ((1 / y) * x) \ 1. [hyper(285,a,3666,a(flip),b,13658,a),flip(a)]. 13663 K((((1 / x) * y) \ 1) / ((((y \ x) * y) \ 1) * x),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13662(a,1),5837(a,1,1,1))]. 13664 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(66,a,9901,a(flip),b,13624,a),flip(a)]. 13665 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(13664(a,2),4519(a,1,2))]. 13666 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(263,a,13665,a)]. 13667 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(13666(a,1),8816(a,1,1))]. 13668 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(13667(a,1),11245(a,1,1)),flip(a)]. 13669 T(x,L(y,x,z)) = T(x,y). [hyper(8506,a,13595,a(flip))]. 13672 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(66,a,9354,a(flip),b,13669,a)]. 13674 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(124,a,13669,a(flip),b,27,a(flip))]. 13676 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(459(a,1),13669(a,1,2))]. 13680 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(13674(a,1),1247(a,1,2,2))]. 13681 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(x \ y,x). [para(5323(a,1),13661(a,2,2))]. 13682 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(285,a,8813,a(flip),b,13668,a),flip(a)]. 13683 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(66,a,5389,a(flip),b,13682,a),flip(a)]. 13684 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(16(a,1),13683(a,2,1))]. 13685 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(27(a,2),13684(a,1,3))]. 13686 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(13685(a,1),5285(a,1,2))]. 13687 L(x,y / x,(x * (y / x)) \ 1) = L(x,x \ y,y \ 1). [hyper(285,a,5677,a(flip),b,13681,a),flip(a)]. 13688 L(x,y / x,y \ 1) = L(x,x \ y,y \ 1). [hyper(66,a,13659,a(flip),b,13687,a)]. 13689 1 / L(x,x \ y,y \ 1) = (1 / y) * (y / x). [para(13688(a,1),3669(a,1,2))]. 13690 (1 / ((x \ y) * x)) * (x \ y) = (1 / y) * (y / x). [hyper(66,a,13654,a,b,13689,a)]. 13691 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((1 / ((x \ y) * x)) * y) / ((1 / y) * (y / x)),z). [para(13690(a,1),9904(a,1,1,2)),flip(a)]. 13692 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(66,a,11724,a(flip),b,13686,a),flip(a)]. 13693 K(x * y,z) * x = x * K(y * x,z). [hyper(13121,a,13692,a)]. 13694 K(x * y,T(z,x)) = K(y * x,z). [hyper(7726,a,13693,a)]. 13695 K(x * y,T(z,y)) = K(y * x,z). [hyper(38,a,7997,a,b,13693,a)]. 13700 K(x * y,z) * y = y * K(y * x,z). [para(13694(a,1),7997(a,1,1))]. 13701 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13694(a,1),8503(a,1,2)),flip(a)]. 13702 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13694(a,1),11906(a,1,1))]. 13703 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [hyper(124,a,13695,a(flip),b,5125,a(flip))]. 13706 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13700(a,1),13527(a,1,1,1))]. 13707 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6545,a,13703,a)]. 13708 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(122,a,13707,a,b,4913,a)]. 13709 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13701(a,2),7399(a,1,1))]. 13710 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13709(a,1),7516(a,1,2)),flip(a)]. 13711 K(x,T(y * z,y)) = K(x,z * y). [hyper(8642,a,13710,a(flip))]. 13712 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(11021,a,13711,a)]. 13713 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(11020,a,13711,a)]. 13715 K(x,T(y * z,z)) = K(x,z * y). [hyper(66,a,10086,a,b,13711,a)]. 13717 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13711(a,1),13366(a,1,2)),flip(a)]. 13718 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(13715(a,1),7779(a,1,1))]. 13719 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(285,a,13407,a(flip),b,13713,a),flip(a)]. 13720 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(13328,a,13717,a)]. 13721 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(5744,a,13718,a)]. 13722 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(66,a,10132,a(flip),b,13720,a),flip(a)]. 13723 T(x,T(y * z,z)) = T(x,z * y). [hyper(37,a,7825,a,b,13721,a)]. 13724 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [hyper(8241,a,13723,a)]. 13726 T(x,T(y * z,y)) = T(x,z * y). [hyper(37,a,7825,a,b,13724,a)]. 13727 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(66,a,8819,a(flip),b,13719,a),flip(a)]. 13728 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13406,a(flip),b,13727,a)]. 13729 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13273,a,b,13728,a)]. 13730 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),13728(a,1,2)),flip(a)]. 13731 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13728(a,1),13296(a,1,2))]. 13732 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2969(a,1),13731(a,1,2,2))]. 13733 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13732(a,1),13386(a,2,2))]. 13734 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(87(a,1),13733(a,1,1)),flip(a)]. 13736 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7884(a,2),13734(a,1,2))]. 13737 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(27(a,2),13736(a,1,1))]. 13738 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6145(a,2),13706(a,1,2,2))]. 13739 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(7049(a,1),13702(a,1,1,1))]. 13740 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(66,a,10582,a(flip),b,13722,a),flip(a)]. 13741 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(13328,a,13740,a)]. 13742 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6631(a,2),13741(a,2,2))]. 13743 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(15(a,1),13708(a,1,2,2,1))]. 13744 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(66,a,5895,a(flip),b,13743,a),flip(a)]. 13745 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3034(a,1),13744(a,1,1))]. 13746 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(285,a,7085,a(flip),b,13745,a),flip(a)]. 13747 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13746(a,1),7303(a,1,1)),flip(a)]. 13748 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(90(a,1),13747(a,1,1,2,1)),flip(a)]. 13749 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(185,a,13748,a)]. 13750 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(66,a,13650,a,b,13749,a),flip(a)]. 13751 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13750(a,1),2383(a,1,1))]. 13752 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7280(a,2),13751(a,1,1))]. 13753 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(14(a,1),13752(a,1,1,1,1)),flip(a)]. 13754 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1277,a,13753,a)]. 13755 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(11974(a,2),13754(a,2,1,1))]. 13756 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,y / (x / z)). [hyper(285,a,13038,a(flip),b,13649,a),flip(a)]. 13757 K(x / y,(x / y) \ z) = K(y \ x,y / (x / z)). [hyper(13586,a,13756,a)]. 13759 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(285,a,30,a,b,13676,a),flip(a)]. 13760 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(66,a,30,a,b,13759,a)]. 13761 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(116(a,1),13680(a,1,1,1))]. 13762 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1559,a,13761,a),flip(a)]. 13763 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(116(a,1),13762(a,1,2))]. 13764 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(66,a,6658,a(flip),b,13763,a),flip(a)]. 13766 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(13764(a,1),6653(a,1,1))]. 13767 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(13604,a,13766,a),flip(a)]. 13768 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(13767(a,1),12594(a,1,1))]. 13769 L(K(x,x * y),y,z) = K(x,x * y). [para(8730(a,1),13768(a,1,1))]. 13771 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(66,a,9928,a,b,13769,a)]. 13772 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(66,a,12686,a(flip),b,13769,a)]. 13773 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(13769(a,2),5344(a,1,2))]. 13775 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6645,a,13772,a)]. 13777 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(66,a,12640,a,b,13772,a)]. 13778 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(66,a,10489,a(flip),b,13772,a),flip(a)]. 13779 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(66,a,10486,a(flip),b,13772,a)]. 13780 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1245(a,1),13772(a,1,2))]. 13781 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(13772(a,1),6653(a,1,1))]. 13782 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(7040(a,2),13775(a,1,2,1))]. 13783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(66,a,10890,a,b,13779,a)]. 13784 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(13779(a,1),9228(a,1,1))]. 13785 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6035,a,13773,a)]. 13786 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9268(a,2),13773(a,1,2))]. 13787 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(66,a,12688,a(flip),b,13785,a),flip(a)]. 13788 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(66,a,11591,a(flip),b,13785,a)]. 13790 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(15(a,1),13787(a,1,1,2,1)),flip(a)]. 13791 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(203(a,2),13787(a,1,1,2))]. 13792 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(103(a,1),13787(a,1,1,2,1))]. 13793 K((x / y) \ z,T(z,y)) = K(z * (x \ y),z). [hyper(66,a,9375,a,b,13790,a)]. 13794 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(66,a,9305,a(flip),b,13790,a),flip(a)]. 13795 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(66,a,6665,a(flip),b,13790,a)]. 13796 K(x \ (y * z),y) = K(y * (x \ z),y). [para(14(a,1),13794(a,1,1,2,2)),flip(a)]. 13797 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(66,a,9304,a,b,13795,a)]. 13798 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(13795(a,1),5803(a,1,1,1,2))]. 13799 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(13796(a,1),9145(a,1,1))]. 13800 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(16(a,1),13797(a,1,1,1)),flip(a)]. 13801 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [hyper(124,a,13777,a(flip),b,5125,a(flip)),flip(a)]. 13803 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(285,a,5130,a,b,13801,a),flip(a)]. 13804 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(66,a,12540,a(flip),b,13803,a)]. 13805 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(66,a,10879,a(flip),b,13804,a),flip(a)]. 13806 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13805(a,1),5520(a,1,2))]. 13808 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(66,a,12136,a,b,13771,a)]. 13809 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(10855,a,13782,a)]. 13810 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(285,a,7986,a,b,13786,a)]. 13812 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(13604,a,13781,a),flip(a)]. 13813 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9743,a,13812,a)]. 13814 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(66,a,10812,a(flip),b,13813,a),flip(a)]. 13815 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(66,a,11908,a(flip),b,13806,a),flip(a)]. 13817 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(90(a,1),13815(a,1,2,2)),flip(a)]. 13818 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(15(a,2),13817(a,1,2))]. 13819 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7937(a,2),13810(a,1,1))]. 13820 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,13798,a),flip(a)]. 13821 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(66,a,6671,a,b,13820,a)]. 13822 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1148(a,1),13809(a,1,2,1))]. 13823 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(168(a,1),13822(a,1,2,2))]. 13824 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(66,a,13712,a(flip),b,13823,a)]. 13825 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(66,a,9317,a(flip),b,13819,a),flip(a)]. 13826 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(12163,a,13825,a)]. 13827 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(66,a,12587,a(flip),b,13826,a)]. 13830 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(285,a,6626,a,b,13808,a),flip(a)]. 13831 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(4084(a,1),13830(a,1,1,2))]. 13832 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(6480(a,1),13831(a,1,1))]. 13833 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3341(a,1),13832(a,1,1))]. 13834 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(9111(a,1),13833(a,1,1))]. 13835 K(x,y * x) != z | K(x,x * y) = z. [para(13834(a,1),3653(a,1)),flip(b)]. 13836 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(6626(a,2),13834(a,1,1))]. 13838 L(K(x,y * x),y,z) = K(x,y * x). [hyper(66,a,8725,a(flip),b,13836,a)]. 13839 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(13838(a,1),6033(a,1,2)),flip(a)]. 13840 L(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,5344,a(flip),b,13839,a),flip(a)]. 13841 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(13840(a,1),11377(a,1,1)),flip(a)]. 13842 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(66,a,13785,a(flip),b,13841,a),flip(a)]. 13845 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(268(a,1),13842(a,2,1,2))]. 13846 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(393(a,1),13842(a,2,1,2))]. 13847 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(5785(a,1),13845(a,1,1))]. 13848 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(15(a,1),13847(a,1,2))]. 13849 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(66,a,13799,a(flip),b,13848,a)]. 13851 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(14(a,1),13849(a,1,1,1,2)),flip(a)]. 13852 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(13849(a,1),5804(a,1,1,1,2))]. 13853 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(66,a,13794,a(flip),b,13851,a)]. 13854 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(66,a,10613,a(flip),b,13853,a),flip(a)]. 13856 (1 / (x * y)) * (T(x,y) * T(T(y,x),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(4113(a,1),13648(a,1,2,2,1))]. 13857 (1 / (x * y)) * (K(y,z) * (x * y)) = K(((1 / (y * x)) * x) \ 1,z). [para(5740(a,1),13856(a,1,2))]. 13858 (1 / (x * y)) * (K(y,z) * (x * y)) = K((((y * x) \ 1) * x) \ 1,z). [hyper(285,a,6705,a(flip),b,13857,a),flip(a)]. 13859 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7486,a,13852,a),flip(a)]. 13861 K((((1 / x) * y) \ 1) / ((x \ 1) * (y * (x / y))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12242(a,1),13663(a,1,1,2))]. 13862 K((((1 / x) * y) \ 1) * (x * (1 / (y * (x / y)))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12349(a,1),13861(a,1,1))]. 13863 K((((1 / x) * y) \ 1) * (x * ((y * (x / y)) \ 1)),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [hyper(66,a,6699,a(flip),b,13862,a)]. 13864 K((((1 / x) * y) \ 1) * K(y \ x,y),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(7258(a,1),13863(a,1,1,2))]. 13865 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ K(x \ y,x),z). [para(11840(a,1),13864(a,1,1)),flip(a)]. 13866 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(T(((1 / y) * x) \ 1,x),z). [para(6163(a,1),13865(a,2,1))]. 13867 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ 1,T(z,x)). [hyper(285,a,7761,a(flip),b,13866,a),flip(a)]. 13868 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((y \ 1) * x) \ 1,T(z,x)). [hyper(285,a,6705,a(flip),b,13867,a),flip(a)]. 13869 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5785(a,1),13846(a,1,1))]. 13870 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(13791(a,1),13869(a,1,1))]. 13871 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(360(a,1),13870(a,1,2)),flip(a)]. 13873 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(66,a,13792,a(flip),b,13871,a),flip(a)]. 13874 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(13873(a,1),6032(a,1,1))]. 13875 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6475(a,1),13873(a,1,1)),flip(a)]. 13876 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(66,a,9335,a,b,13875,a)]. 13877 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(13875(a,1),5302(a,2,2,2))]. 13878 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(5332,a,13874,a),flip(a)]. 13879 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(13775(a,1),13878(a,1,1))]. 13880 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(285,a,11639,a(flip),b,13877,a),flip(a)]. 13881 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(66,a,13784,a(flip),b,13879,a),flip(a)]. 13882 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(453(a,1),13881(a,1,2,1))]. 13883 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(66,a,13775,a(flip),b,13882,a),flip(a)]. 13885 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(8619,a,13883,a)]. 13886 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(285,a,13778,a(flip),b,13883,a),flip(a)]. 13887 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(14(a,1),13883(a,1,2,1,2)),flip(a)]. 13888 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(13605,a,13886,a)]. 13889 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(14(a,1),13886(a,1,2,1,2)),flip(a)]. 13890 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13887(a,1),11408(a,1,1))]. 13891 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(13887(a,1),13737(a,1,2,2)),flip(a)]. 13892 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(13888(a,1),6653(a,1,1)),flip(a)]. 13893 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(6806(a,1),13888(a,1,2,2,1,2))]. 13894 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(13880(a,1),13876(a,1,2,1,1))]. 13895 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(5952(a,1),13894(a,1,2,1))]. 13897 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(13892(a,2),13604(a,1))]. 13898 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(23(a,2),13742(a,1,2,2,2)),flip(a)]. 13899 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(5785(a,1),13890(a,1,2,1,2))]. 13900 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(285,a,7894,a,b,13891,a),flip(a)]. 13901 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13851(a,1),13899(a,1,2,1,2))]. 13902 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(8641,a,13901,a)]. 13904 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(13902(a,2),4222(a,1))]. 13905 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(13889(a,1),13900(a,2,1))]. 13906 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(285,a,10587,a(flip),b,13905,a),flip(a)]. 13907 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(7940(a,1),13906(a,1,2))]. 13908 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(10219,a,13907,a)]. 13909 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(13904,a,13908,a),flip(a)]. 13910 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,10444,a(flip),b,13909,a),flip(a)]. 13911 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,8882,a,b,13910,a)]. 13912 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(13911(a,1),13760(a,1,1))]. 13913 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(13672(a,1),13912(a,1,1)),flip(a)]. 13914 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(13913(a,1),5644(a,1,2,1))]. 13916 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(66,a,5644,a(flip),b,13914,a),flip(a)]. 13917 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13893,a(flip),b,13916,a),flip(a)]. 13918 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(13897,a,13917,a)]. 13919 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13885,a(flip),b,13918,a)]. 13920 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(13(a,1),13919(a,1,2,2,1))]. 13921 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(285,a,7180,a(flip),b,13920,a),flip(a)]. 13922 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(285,a,13859,a(flip),b,13921,a),flip(a)]. 13923 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(13(a,1),13922(a,2,2,2,1))]. 13924 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(66,a,13783,a,b,13923,a)]. 13925 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,13814,a(flip),b,13924,a),flip(a)]. 13927 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3245(a,1),13925(a,1,2))]. 13928 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(13927(a,1),7399(a,1,1,2)),flip(a)]. 13929 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(285,a,7399,a(flip),b,13928,a),flip(a)]. 13930 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13929(a,1),6571(a,1,1,2))]. 13931 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13821(a,1),13930(a,1,1,2))]. 13932 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(78(a,1),13931(a,1,1,2,1,2))]. 13933 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5795(a,1),13932(a,1,1))]. 13934 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(66,a,30,a,b,13933,a)]. 13935 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5719(a,1),13934(a,1,1)),flip(a)]. 13936 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4254,a,13935,a)]. 13937 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(146,a,13936,a)]. 13938 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(13936(a,1),9082(a,1,2))]. 13940 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(66,a,13242,a(flip),b,13937,a),flip(a)]. 13942 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(13937(a,1),11884(a,1,2))]. 13944 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13940(a,1),473(a,1,1)),flip(a)]. 13945 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(12830,a,13942,a),flip(a)]. 13947 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13940(a,1),13942(a,1,2))]. 13948 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(13945(a,1),11872(a,1,2)),flip(a)]. 13949 K(x * L(y,z,u),y) = K(y * x,y). [hyper(285,a,12775,a(flip),b,13948,a),flip(a)]. 13953 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(66,a,10352,a,b,13949,a)]. 13956 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(15(a,1),13953(a,1,1)),flip(a)]. 13957 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(66,a,13794,a(flip),b,13956,a)]. 13959 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(10966,a,13957,a)]. 13963 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10658(a,1),13938(a,1))]. 13964 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(285,a,112,a(flip),b,13944,a),flip(a)]. 13965 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10040(a,1),13964(a,1,1,1)),flip(a)]. 13966 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13964(a,1),13473(a,1,1))]. 13968 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13966(a,1),12880(a,1))]. 13969 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(66,a,13556,a(flip),b,13947,a),flip(a)]. 13970 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(341(a,1),13969(a,1,2,3))]. 13971 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12865,a,13970,a)]. 13972 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13968,a,13971,a)]. 13973 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13553,a(flip),b,13971,a),flip(a)]. 13974 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(15(a,1),13972(a,1,2)),flip(a)]. 13975 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [hyper(124,a,13974,a(flip),b,11754,a),flip(a)]. 13976 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [hyper(124,a,13974,a(flip),b,11743,a),flip(a)]. 13977 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(66,a,10040,a(flip),b,13976,a),flip(a)]. 13978 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13973(a,1),13292(a,1,1))]. 13979 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(66,a,10644,a(flip),b,13978,a)]. 13980 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12940(a,1),13977(a,1,2,1)),flip(a)]. 13981 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(285,a,13975,a,b,13980,a),flip(a)]. 13983 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13981(a,1),13965(a,2,1,1))]. 13984 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(11064(a,1),13755(a,1,1)),flip(a)]. 13985 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(285,a,11974,a(flip),b,13984,a),flip(a)]. 13987 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(285,a,5130,a,b,13985,a),flip(a)]. 13988 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(11970(a,1),13987(a,1,1,1))]. 13989 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(66,a,12216,a,b,13988,a)]. 13990 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7860(a,1),13373(a,1,2,1,2))]. 13991 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((1 / y) * (y / x)),z). [para(5882(a,1),13691(a,2,1,1))]. 13992 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((y \ 1) * (y / x)),z). [hyper(285,a,6732,a(flip),b,13991,a),flip(a)]. 13993 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((y \ 1) * (x \ y)) \ 1,z). [hyper(285,a,6580,a(flip),b,13992,a),flip(a)]. 13994 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(285,a,6749,a(flip),b,13993,a),flip(a)]. 13995 K(x,K(x,x \ y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(5882(a,1),13994(a,1,2,1))]. 13996 K(x,K(x,x \ y) / ((((x \ y) * x) \ 1) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,7185,a(flip),b,13995,a)]. 13997 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(10114(a,1),13990(a,1,2,1,2))]. 13998 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7897(a,1),13997(a,1,2,1,2))]. 13999 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7954(a,1),13998(a,1,2,1,2))]. 14000 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5414(a,2),13999(a,1,2,1))]. 14001 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(66,a,5577,a,b,14000,a)]. 14002 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(10129(a,1),14001(a,1,1)),flip(a)]. 14003 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14002(a,2,2))]. 14004 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14003,a),flip(a)]. 14006 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),13105(a,1,1,1))]. 14007 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12039(a,1),14006(a,1,1))]. 14008 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6423,a,14007,a)]. 14010 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),14008(a,1,2))]. 14011 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),13989(a,1,2,1,1))]. 14012 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14011(a,1,2,1))]. 14013 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7908(a,1),14012(a,1,2,1))]. 14015 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),14013(a,1,2,2,1))]. 14016 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14015(a,1,2,2))]. 14018 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12024(a,1),14016(a,1,2))]. 14019 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(66,a,11966,a(flip),b,14018,a)]. 14020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(66,a,12034,a,b,14019,a)]. 14021 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12023,a(flip),b,14020,a)]. 14022 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12328,a(flip),b,14021,a),flip(a)]. 14023 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(66,a,11979,a(flip),b,14022,a)]. 14024 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(66,a,11088,a(flip),b,14023,a)]. 14025 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(14024(a,1),11962(a,1,1)),flip(a)]. 14026 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(66,a,11170,a(flip),b,14025,a),flip(a)]. 14027 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(11981(a,1),14026(a,1,1)),flip(a)]. 14029 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(14027(a,1),13983(a,2,1))]. 14030 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13974(a,1),14029(a,2,1,1))]. 14032 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(9261(a,1),14030(a,1,1,1))]. 14034 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13053(a,1),14032(a,1,1))]. 14035 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12851(a,1),14034(a,1,1)),flip(a)]. 14036 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(14035(a,1),468(a,1,2))]. 14037 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(13018,a,14036,a),flip(a)]. 14038 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12859(a,1),14037(a,2,2))]. 14040 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(285,a,12863,a(flip),b,14038,a),flip(a)]. 14042 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(55,a,14040,a)]. 14043 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(14042(a,1),12905(a,1,2))]. 14044 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12910(a,1),14043(a,1,1,2,1))]. 14045 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(480,a,14044,a),flip(a)]. 14047 R(a(x,y,x),z,u) = a(x,y,x). [hyper(37,a,12857,a(flip),b,14045,a),flip(a)]. 14048 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(66,a,470,a,b,14047,a)]. 14050 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(66,a,13972,a(flip),b,14047,a)]. 14051 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(66,a,13432,a(flip),b,14047,a),flip(a)]. 14052 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(14047(a,1),112(a,1,1)),flip(a)]. 14054 L(x,y,a(z,u,z)) = x. [para(14047(a,1),14042(a,1,3))]. 14056 L(x,y,a(z,u,z)) != w | x = w. [para(14054(a,1),53(a,2))]. 14057 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(14054(a,1),499(a,1,2))]. 14058 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(14054(a,1),443(a,1,2,1)),flip(a)]. 14061 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(14050(a,1),13203(a,1,1)),flip(a)]. 14062 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(14050(a,1),13979(a,1,2)),flip(a)]. 14063 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(13945(a,2),14061(a,2,1))]. 14066 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5795(a,1),14051(a,1,2)),flip(a)]. 14067 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),19(a,2,1)),flip(a)]. 14068 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12857(a,1),14052(a,1,1))]. 14069 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(285,a,11880,a(flip),b,14063,a),flip(a)]. 14071 L(x,y,L(x,z,u)) = L(x,y,x). [para(352(a,1),14069(a,1,3)),flip(a)]. 14072 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(14071(a,1),35(a,1,1)),flip(a)]. 14074 T(L(x,x \ y,x) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(14071(a,1),11251(a,1,1,1))]. 14077 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(14072(a,1),12891(a,1,1,2))]. 14078 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(285,a,12801,a(flip),b,14062,a),flip(a)]. 14080 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11426,a,14078,a),flip(a)]. 14082 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(66,a,13014,a(flip),b,14080,a)]. 14083 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(66,a,11679,a(flip),b,14082,a)]. 14087 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(66,a,11178,a(flip),b,14083,a)]. 14089 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(285,a,13775,a(flip),b,14087,a),flip(a)]. 14090 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(66,a,11547,a,b,14089,a)]. 14091 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(66,a,11548,a(flip),b,14089,a)]. 14093 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1166(a,1),14090(a,1,2,2))]. 14095 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(66,a,10612,a(flip),b,14091,a),flip(a)]. 14096 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(16(a,1),14095(a,1,2,2,2,1)),flip(a)]. 14097 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(14096(a,1),10223(a,1,2))]. 14098 T(x / T(y,x),L(y,z,u)) = y \ T(x,L(y,z,u)). [para(7646(a,1),14074(a,1,1))]. 14100 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(285,a,13778,a(flip),b,14093,a),flip(a)]. 14101 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(15(a,1),14100(a,1,2,2,2,1))]. 14102 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(13251,a,14101,a),flip(a)]. 14103 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12938(a,1),14048(a,1,1,1))]. 14105 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(27(a,2),14102(a,1,2,2,1))]. 14106 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(66,a,10487,a(flip),b,14105,a),flip(a)]. 14107 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(285,a,6638,a(flip),b,14106,a),flip(a)]. 14108 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(14107(a,1),11428(a,1,1,2)),flip(a)]. 14109 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(66,a,13488,a(flip),b,14066,a)]. 14110 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(112(a,1),14103(a,1,1))]. 14111 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(11543(a,1),14097(a,1,1))]. 14112 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(14052(a,1),14058(a,2,1))]. 14113 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(285,a,14057,a(flip),b,14112,a),flip(a)]. 14114 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(25(a,2),14113(a,2,2))]. 14115 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(14054(a,1),14114(a,1,2))]. 14116 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14067(a,1,2,1))]. 14117 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5392(a,1),14109(a,2,2))]. 14118 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12808,a,14117,a)]. 14119 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14116(a,1,2))]. 14120 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(770,a,14119,a)]. 14121 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(14056,a,14120,a),flip(a)]. 14123 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12799(a,1),14121(a,1,1))]. 14124 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12810(a,1),14121(a,1,1))]. 14125 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12796(a,1),14121(a,1,1))]. 14126 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(15(a,1),14123(a,1,1,1)),flip(a)]. 14127 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(8174(a,2),14125(a,2,1)),flip(a)]. 14128 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(7219(a,1),14126(a,1,1))]. 14129 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(7241(a,1),14127(a,2,1))]. 14130 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(285,a,14128,a(flip),b,14129,a),flip(a)]. 14131 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(115(a,1),14130(a,1,1,1,2))]. 14132 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(66,a,14124,a(flip),b,14131,a),flip(a)]. 14133 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4596(a,1),14132(a,1,1)),flip(a)]. 14134 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6092(a,1),14132(a,1,1))]. 14135 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(13035(a,2),14133(a,2,1)),flip(a)]. 14136 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(66,a,14132,a(flip),b,14134,a)]. 14137 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(66,a,14132,a(flip),b,14136,a),flip(a)]. 14138 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(66,a,14132,a(flip),b,14137,a)]. 14139 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6107(a,1),14135(a,2,1))]. 14140 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(285,a,14133,a(flip),b,14139,a),flip(a)]. 14141 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(13035(a,1),14140(a,1,1))]. 14142 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(285,a,14138,a(flip),b,14141,a),flip(a)]. 14143 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5830(a,1),13739(a,1,1))]. 14144 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(15(a,1),14143(a,1,2,2,1,2))]. 14146 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8749(a,1),14144(a,1,2))]. 14147 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(12907(a,1),12915(a,2,2,1,1))]. 14148 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(285,a,1535,a(flip),b,14147,a),flip(a)]. 14149 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1726(a,1),14148(a,2,2))]. 14150 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(820(a,1),14149(a,2,2,1))]. 14151 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),14150(a,2,2,1,2))]. 14152 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1535(a,1),14151(a,1,1))]. 14153 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(14115(a,2),14152(a,1,1,2))]. 14154 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(15(a,1),14153(a,1,1,2,1)),flip(a)]. 14155 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(14047(a,1),12811(a,1,1,1)),flip(a)]. 14156 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12946(a,1),14155(a,2,1))]. 14158 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(662(a,1),14156(a,2,1,2,1))]. 14159 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5157(a,1),14158(a,2,1))]. 14160 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(285,a,23,a,b,14159,a),flip(a)]. 14161 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(14047(a,1),14160(a,1,3))]. 14162 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(14056,a,14161,a),flip(a)]. 14165 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(15(a,1),14162(a,1,3,1)),flip(a)]. 14166 L(x,y / z,K(y,z)) = x. [hyper(7748,a,14165,a)]. 14167 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(14166(a,1),5651(a,1,2)),flip(a)]. 14168 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5452,a,14167,a)]. 14169 R(K(x,y),x \ y,z) = K(x,y). [hyper(9006,a,14168,a)]. 14170 R(K(x,x * y),y,z) = K(x,x * y). [para(14(a,1),14169(a,1,2))]. 14172 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(14170(a,1),12676(a,2,2))]. 14173 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(285,a,5130,a,b,14172,a),flip(a)]. 14175 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(66,a,4831,a(flip),b,14173,a)]. 14176 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(17(a,1),14175(a,1,2,1,2))]. 14177 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(66,a,10869,a,b,14176,a)]. 14178 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(285,a,5130,a(flip),b,14177,a)]. 14179 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(37,a,9480,a,b,14178,a)]. 14180 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(37,a,5130,a(flip),b,14178,a)]. 14181 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(66,a,10224,a,b,14179,a)]. 14182 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(66,a,10854,a(flip),b,14180,a)]. 14183 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(14180(a,1),8052(a,1,1,2))]. 14184 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(25(a,2),14182(a,1,2,1)),flip(a)]. 14185 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(14182(a,1),7399(a,1,1,2))]. 14186 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(7411,a,14185,a),flip(a)]. 14187 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(66,a,13827,a(flip),b,14186,a),flip(a)]. 14188 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(25(a,2),14186(a,1,1,1)),flip(a)]. 14189 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(3064(a,1),14186(a,2,1,2))]. 14190 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(15(a,1),14187(a,1,1,2,1)),flip(a)]. 14191 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(66,a,10393,a,b,14190,a)]. 14192 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(14191(a,1),13278(a,1,1))]. 14193 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(13779(a,1),14181(a,1,2))]. 14194 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(66,a,14111,a(flip),b,14193,a)]. 14195 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(66,a,11203,a(flip),b,14194,a),flip(a)]. 14196 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7995(a,1),14192(a,1,2))]. 14197 a(x,y / z,x) = a(x,z \ y,x). [hyper(12802,a,14196,a)]. 14198 a(x,(y \ z) \ z,x) = a(x,y,x). [para(87(a,1),14197(a,1,2)),flip(a)]. 14199 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(113(a,2),14197(a,1,2))]. 14200 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14197(a,1,2))]. 14201 a(x,T(y,z),x) = a(x,y,x). [para(4140(a,2),14198(a,1,2))]. 14202 a(x,y * K(z,y),x) = a(x,y,x). [para(5930(a,1),14198(a,1,2)),flip(a)]. 14203 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(13081(a,1),14198(a,1,2)),flip(a)]. 14204 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(285,a,13481,a,b,14201,a),flip(a)]. 14205 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14201(a,1),12812(a,1,1))]. 14206 L(a(x,y,x),y,z) = a(x,y,x). [hyper(66,a,14051,a(flip),b,14202,a)]. 14208 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14206(a,1),14118(a,1,1))]. 14209 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(66,a,14203,a(flip),b,14199,a)]. 14211 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(14209(a,2),12874(a,1,2,1)),flip(a)]. 14212 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(66,a,14184,a(flip),b,14195,a),flip(a)]. 14213 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(66,a,11463,a(flip),b,14212,a),flip(a)]. 14214 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(285,a,14197,a(flip),b,14208,a),flip(a)]. 14216 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(23(a,2),14214(a,2,2))]. 14217 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(453(a,1),14216(a,2,2))]. 14218 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8054,a,14183,a),flip(a)]. 14219 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(66,a,9394,a(flip),b,14218,a)]. 14220 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10877,a,14219,a)]. 14221 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14220(a,1),14146(a,1,2))]. 14222 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(16(a,1),14189(a,1,1,1)),flip(a)]. 14223 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(285,a,6690,a(flip),b,14222,a),flip(a)]. 14225 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(13284,a,14204,a)]. 14226 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(285,a,7681,a(flip),b,14225,a),flip(a)]. 14228 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8239(a,2),14226(a,2,1)),flip(a)]. 14229 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5785(a,2),14228(a,1,1,1))]. 14230 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(66,a,12176,a,b,14229,a)]. 14231 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(37,a,8481,a,b,14230,a)]. 14232 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(66,a,13788,a,b,14231,a)]. 14233 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5150(a,1),14232(a,1,1,2))]. 14234 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(15(a,1),14217(a,1,2))]. 14235 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(212(a,1),14234(a,2,2))]. 14236 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8215(a,1),14233(a,1,1))]. 14237 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5150(a,1),14236(a,2,2))]. 14239 R(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,8215,a(flip),b,14237,a),flip(a)]. 14241 R(K(x * y,x),y,z) = K(y * x,x). [para(5785(a,1),14239(a,1,1))]. 14242 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(66,a,1688,a,b,14241,a)]. 14243 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(19(a,2),14200(a,2,2))]. 14244 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(12900(a,2),14235(a,1,1,2,1))]. 14245 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8366(a,1),14221(a,1,2)),flip(a)]. 14246 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(285,a,5520,a(flip),b,14245,a),flip(a)]. 14247 L(x,y / z,x) = L(x,z \ y,x). [hyper(66,a,13818,a(flip),b,14246,a),flip(a)]. 14249 L(x,(y \ z) \ z,x) = L(x,y,x). [para(87(a,1),14247(a,1,2)),flip(a)]. 14250 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5379(a,2),14247(a,1,2))]. 14251 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14247(a,1,2))]. 14253 L(x,y * K(z,y),x) = L(x,y,x). [para(5930(a,1),14249(a,1,2)),flip(a)]. 14256 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5798(a,1),14253(a,1,2))]. 14258 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(66,a,14256,a(flip),b,14250,a),flip(a)]. 14261 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(19(a,2),14251(a,2,2))]. 14262 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7729(a,1),14242(a,1,1,1))]. 14263 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9695(a,1),14262(a,1,1,1))]. 14264 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(112(a,1),14263(a,1,1))]. 14265 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13173(a,1),14205(a,1,1))]. 14267 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13562(a,1),14265(a,1,1))]. 14268 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(14(a,1),14267(a,1,1,1))]. 14269 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(14(a,1),14268(a,1,1,3)),flip(a)]. 14270 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6404(a,1),14269(a,2,2))]. 14271 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(14(a,1),14270(a,2,2,2))]. 14272 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5316(a,1),14271(a,2,2))]. 14273 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(285,a,12799,a(flip),b,14272,a),flip(a)]. 14274 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6548,a,14273,a)]. 14275 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(14(a,1),14274(a,1,2))]. 14276 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(66,a,6688,a(flip),b,14275,a)]. 14277 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(10230,a,14276,a)]. 14279 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(15(a,1),14277(a,2,1))]. 14280 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(66,a,11375,a(flip),b,14279,a),flip(a)]. 14282 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(66,a,6694,a(flip),b,14280,a)]. 14283 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(66,a,7320,a(flip),b,14282,a)]. 14285 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(66,a,8378,a,b,14283,a)]. 14286 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(15(a,1),14283(a,1,1,2,1)),flip(a)]. 14288 K((x / y) \ z,x / y) = K(z * (x \ y),x / y). [para(17(a,1),14285(a,1,1,2,1)),flip(a)]. 14289 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14285(a,1),13738(a,1,1,1,2))]. 14290 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(285,a,12458,a,b,14286,a),flip(a)]. 14291 K((x / y) \ z,x / y) = K(z * (y / x),x / y). [hyper(285,a,12459,a,b,14288,a),flip(a)]. 14292 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K(u * (x / y),x \ y)) \ y. [para(14290(a,1),9409(a,2,1,2))]. 14293 K((x \ y) \ z,y / x) = K(z * (x / y),y / x). [hyper(66,a,7618,a(flip),b,14291,a)]. 14294 K(x / (y \ z),z / y) = K(x * (y / z),z / y). [hyper(66,a,8351,a,b,14293,a)]. 14295 1 / (((x / y) \ 1) \ K(z * (x / y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(14294(a,1),10325(a,1,2,2))]. 14296 1 / (T((x / y) \ 1,z * (x / y)) \ 1) = T((x / y) \ 1,(x \ y) \ z). [para(5716(a,1),14295(a,1,2))]. 14297 T((x / y) \ 1,(x \ y) \ z) = T((x / y) \ 1,z * (x / y)). [hyper(297,a,14296,a)]. 14299 ((x / y) * T((x / y) \ 1,z * (x / y))) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(14297(a,1),10263(a,1,1,2))]. 14300 K((x / y) \ 1,z * (x / y)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(5126(a,1),14299(a,1,1))]. 14301 K(x / (y \ z),(y / z) \ 1) = K(z / y,x * (y / z)) \ 1. [para(5830(a,1),14300(a,1,1)),flip(a)]. 14302 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = T(x \ y,u * (x / y)). [hyper(285,a,7461,a(flip),b,14292,a),flip(a)]. 14303 T(x \ y,z * (x / y)) = ((x \ y) \ z) \ z. [hyper(66,a,3637,a(flip),b,14302,a),flip(a)]. 14304 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z,u) * (x / y)). [hyper(285,a,13626,a,b,14303,a)]. 14305 ((((x \ y) \ z) \ z) * u) \ ((x \ y) * u) = K(z * (x / y),T(x \ y,u)). [para(14303(a,1),7435(a,1,1,1))]. 14306 K((x \ y) \ z,T(x \ y,u)) = K(z * (x / y),T(x \ y,u)). [hyper(66,a,7502,a(flip),b,14305,a)]. 14307 (x * K(y * (x / z),T(x \ z,u))) \ z = T(x \ z,T((x \ z) \ y,u)). [para(14306(a,1),7784(a,1,1,2))]. 14308 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z * (x / y),u)). [hyper(7785,a,14307,a),flip(a)]. 14309 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (x / y)). [hyper(66,a,14304,a(flip),b,14308,a),flip(a)]. 14310 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(271(a,1),14289(a,1,1,1))]. 14312 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8472(a,1),14310(a,1,1))]. 14313 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(115(a,1),14312(a,1,2,2,2))]. 14314 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9783(a,1),14313(a,1,2))]. 14315 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3604(a,1),14314(a,1,2))]. 14316 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(66,a,13610,a(flip),b,14315,a)]. 14317 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(66,a,10433,a(flip),b,14316,a)]. 14318 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(189(a,1),14317(a,1,2)),flip(a)]. 14319 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(66,a,12506,a,b,14318,a)]. 14322 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(66,a,7598,a(flip),b,14319,a)]. 14324 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(66,a,8381,a(flip),b,14322,a),flip(a)]. 14325 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(17(a,1),14322(a,1,2,2,2)),flip(a)]. 14326 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(285,a,12461,a(flip),b,14324,a),flip(a)]. 14328 K(x / y,z * (y / x)) = K(y \ x,y / (x / z)). [hyper(66,a,13757,a(flip),b,14325,a),flip(a)]. 14329 K(x \ y,z * (y \ x)) * (x \ y) = T(x \ y,z / (x \ y)). [para(14326(a,1),5266(a,1,1))]. 14330 K(x / y,z * (x \ y)) = K(y \ x,y / (x / z)). [hyper(66,a,12492,a(flip),b,14328,a)]. 14331 K(x / (y \ z),(y / z) \ 1) = K(y \ z,y / (z / x)) \ 1. [para(14328(a,1),14301(a,2,1))]. 14332 T(x \ y,z / (x \ y)) = T(x \ y,z * (y \ x)). [hyper(5259,a,14329,a),flip(a)]. 14333 T(x \ y,z * (y \ x)) = ((x \ y) \ z) \ z. [hyper(4167,a,14332,a),flip(a)]. 14334 T(x \ y,z * (x / y)) = T(x \ y,z * (y \ x)). [hyper(285,a,14303,a,b,14333,a)]. 14335 K(T(x \ y,z * (y \ x)),u) = K(x \ y,T(u,z)). [para(14333(a,2),7687(a,1,1))]. 14336 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14309,a,b,14334,a)]. 14337 (x * T(y \ z,u * (z \ y))) / T(x,y \ z) = T(y \ z,T(u * (y / z),x)). [para(14334(a,1),8359(a,1,1,2))]. 14338 K(x / (y \ z),(y / z) \ 1) = K(y / (z / x),y \ z) * 1. [hyper(285,a,5334,a(flip),b,14331,a),flip(a)]. 14339 K(x / (y \ z),(y / z) \ 1) = K((z / x) \ y,z / y) * 1. [para(7744(a,1),14338(a,2,1))]. 14340 K(x / (y \ z),z / y) = K((z / x) \ y,z / y). [hyper(5756,a,14339,a)]. 14341 K((x / y) \ z,x / z) = K(y * (z / x),x / z). [hyper(66,a,14294,a(flip),b,14340,a),flip(a)]. 14342 K((x / y) \ z,x / z) = K(y * (x \ z),x / z). [hyper(285,a,12459,a(flip),b,14341,a),flip(a)]. 14343 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z * (y \ x),u)). [hyper(8364,a,14337,a),flip(a)]. 14345 T(x \ y,T(z * (y \ x),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14336,a(flip),b,14343,a),flip(a)]. 14346 K(T(x \ y,T(z * (y \ x),u)),w) = K(x \ y,T(w,T(z,u))). [para(14345(a,2),14335(a,1,1))]. 14347 K(x \ y,T(z,T(u * (y \ x),w))) = K(x \ y,T(z,T(u,w))). [hyper(8426,a,14346,a)]. 14348 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(285,a,11103,a(flip),b,14108,a),flip(a)]. 14350 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(285,a,11108,a(flip),b,14348,a),flip(a)]. 14351 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(13168,a,14350,a)]. 14352 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(14351(a,1),11723(a,1,1,2)),flip(a)]. 14353 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(285,a,11723,a(flip),b,14352,a),flip(a)]. 14354 a(x,y,K(x * z,z)) = 1. [hyper(66,a,9105,a(flip),b,14353,a),flip(a)]. 14355 L(K(x * y,y),z,x) = K(x * y,y). [hyper(55,a,14354,a)]. 14356 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(14355(a,1),7707(a,2,1))]. 14357 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10145(a,1),14356(a,1,2,2))]. 14358 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7682(a,1),14357(a,1,2)),flip(a)]. 14359 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(303,a,14358,a),flip(a)]. 14360 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(66,a,12884,a(flip),b,14358,a),flip(a)]. 14361 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12861(a,1),14360(a,1,2)),flip(a)]. 14362 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(303,a,14361,a),flip(a)]. 14363 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(66,a,14068,a,b,14361,a)]. 14364 L(x,a(y,z,y),z) = x. [hyper(445,a,14363,a)]. 14365 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(14363(a,1),14110(a,1,1,1))]. 14366 L(x,K(y,z),z \ y) = x. [hyper(13513,a,14364,a)]. 14367 L(x,K(y,z),y / z) = x. [hyper(10026,a,14366,a)]. 14370 L(x,K(y * z,z),y) = x. [para(16(a,1),14367(a,1,3))]. 14371 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1176,a,14370,a),flip(a)]. 14372 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(14371(a,1),14264(a,1,1,1))]. 14373 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(15(a,1),14365(a,1,2,1))]. 14374 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(14362(a,1),14373(a,1,1,1)),flip(a)]. 14375 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(285,a,25,a,b,14374,a),flip(a)]. 14376 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(14(a,1),14375(a,1,2,2)),flip(a)]. 14377 a(x,R(y,z,u),x) = a(x,y,x). [hyper(66,a,14047,a(flip),b,14376,a),flip(a)]. 14379 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(66,a,14243,a(flip),b,14377,a),flip(a)]. 14380 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(14377(a,1),13072(a,1,1)),flip(a)]. 14381 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(14377(a,1),14211(a,2,2,1))]. 14383 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5379(a,1),14379(a,1,2,2))]. 14384 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(285,a,13072,a(flip),b,14380,a),flip(a)]. 14385 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(14384(a,1),12188(a,1,2))]. 14386 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(285,a,12874,a(flip),b,14381,a),flip(a)]. 14388 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(66,a,14258,a(flip),b,14386,a)]. 14390 L(x,R(y,z,u),x) = L(x,y,x). [para(14(a,1),14388(a,2,2))]. 14393 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(66,a,14261,a(flip),b,14390,a),flip(a)]. 14395 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(727(a,1),14385(a,1,2)),flip(a)]. 14397 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(14395(a,1),5123(a,2,2)),flip(a)]. 14398 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(66,a,12149,a(flip),b,14397,a)]. 14399 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(14359(a,1),14372(a,1,1,1)),flip(a)]. 14400 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(285,a,25,a,b,14399,a),flip(a)]. 14401 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5786,a,14400,a)]. 14402 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5785(a,1),14401(a,2,1))]. 14403 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(110(a,1),14402(a,1,1,2))]. 14404 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(3061(a,1),14403(a,1,1,2,2,1))]. 14405 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(13418(a,1),14383(a,1,2)),flip(a)]. 14406 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(285,a,14379,a(flip),b,14405,a),flip(a)]. 14407 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(5404(a,1),14406(a,1,2))]. 14408 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(66,a,14244,a,b,14407,a)]. 14409 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(66,a,14188,a(flip),b,14404,a),flip(a)]. 14410 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(285,a,6714,a(flip),b,14409,a),flip(a)]. 14411 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(14223(a,1),14410(a,1,1))]. 14412 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14411(a,1),13090(a,1,2,2))]. 14415 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(66,a,7989,a(flip),b,14412,a),flip(a)]. 14416 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14415(a,1),7531(a,1,1,2))]. 14417 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(7783,a,14416,a),flip(a)]. 14418 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7761(a,1),14417(a,1,1))]. 14419 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(285,a,8988,a,b,14418,a)]. 14420 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(12481(a,1),14419(a,2,1))]. 14421 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3352(a,1),14420(a,1,1))]. 14424 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(6424(a,1),14421(a,1,2))]. 14425 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(125,a,14424,a),flip(a)]. 14426 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6428(a,1),14425(a,1,1)),flip(a)]. 14427 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(13084(a,1),14425(a,1,1))]. 14428 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14426(a,1),14427(a,1,1)),flip(a)]. 14429 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(66,a,14213,a(flip),b,14428,a),flip(a)]. 14430 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4413(a,1),14429(a,1,1))]. 14433 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14430(a,1),9790(a,1,1,1,2))]. 14438 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12033,a,14433,a)]. 14439 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(79(a,1),14438(a,1,2))]. 14440 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(133,a,14439,a),flip(a)]. 14443 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(285,a,13729,a(flip),b,14440,a),flip(a)]. 14446 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(14440(a,1),14010(a,1,1,2))]. 14449 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14443(a,1),6184(a,1,2,1))]. 14450 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5454,a,14449,a),flip(a)]. 14452 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(66,a,12013,a(flip),b,14446,a),flip(a)]. 14453 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(285,a,12267,a(flip),b,14452,a),flip(a)]. 14454 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(285,a,13392,a(flip),b,14453,a),flip(a)]. 14455 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6423,a,14454,a)]. 14457 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5334(a,1),14455(a,1,2))]. 14458 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(14457(a,1),5310(a,1,1))]. 14459 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(13408(a,1),14458(a,1,2))]. 14460 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(125,a,14459,a)]. 14461 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7907(a,1),14459(a,1,2,1))]. 14462 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5452,a,14460,a)]. 14463 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6090(a,1),14460(a,1,2))]. 14465 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9018(a,1),14460(a,1,2))]. 14466 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(14460(a,1),10949(a,2,2))]. 14467 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(14460(a,1),11784(a,1,1,2))]. 14468 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(14460(a,1),11994(a,2,2))]. 14469 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(14460(a,1),12293(a,1,3))]. 14471 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(14469(a,1),265(a,1,2))]. 14472 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(14462(a,1),10031(a,1,1)),flip(a)]. 14473 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(14465(a,1),5522(a,1,2)),flip(a)]. 14474 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(14465(a,1),14398(a,1,1))]. 14475 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(66,a,11593,a,b,14466,a)]. 14476 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(66,a,8501,a,b,14466,a)]. 14477 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(14460(a,1),14467(a,1,2))]. 14479 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(122,a,117,a(flip),b,14477,a)]. 14480 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7721,a,14473,a)]. 14481 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(14480(a,2),46(a,1))]. 14482 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(285,a,14132,a(flip),b,14463,a),flip(a)]. 14483 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(66,a,12051,a(flip),b,14463,a)]. 14484 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(10157(a,1),14461(a,1,2,2))]. 14485 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12025(a,1),14484(a,1,2))]. 14486 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(14(a,1),14475(a,1,2,1,2,1))]. 14488 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6682(a,1),14486(a,1,2))]. 14489 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6529(a,2),14488(a,1,1))]. 14490 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(285,a,14137,a(flip),b,14483,a),flip(a)]. 14491 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(14482(a,1),14490(a,1,1)),flip(a)]. 14492 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6547(a,1),14489(a,1,2))]. 14493 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14440(a,1),14492(a,1,2,2))]. 14494 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8829,a,14493,a)]. 14495 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(66,a,9832,a,b,14494,a)]. 14496 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3186(a,1),14495(a,1,1))]. 14497 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(14481,a,14496,a)]. 14498 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(285,a,14476,a(flip),b,14472,a),flip(a)]. 14499 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(14471,a,14498,a)]. 14500 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5360(a,1),14499(a,1,2))]. 14501 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7991(a,1),14500(a,1,1,1)),flip(a)]. 14502 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(225,a,14501,a),flip(a)]. 14503 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(285,a,14474,a(flip),b,14502,a)]. 14504 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(168(a,1),14503(a,2,1,2))]. 14505 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(66,a,4413,a,b,14504,a)]. 14506 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(17(a,1),14504(a,1,1))]. 14507 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(66,a,9676,a(flip),b,14506,a)]. 14508 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(66,a,13824,a(flip),b,14507,a)]. 14509 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5323(a,1),14508(a,2,1))]. 14510 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(285,a,14126,a(flip),b,14509,a),flip(a)]. 14511 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(66,a,9232,a(flip),b,14510,a)]. 14512 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(66,a,6675,a(flip),b,14510,a)]. 14513 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(14504(a,1),14505(a,1,1))]. 14514 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14491,a,b,14513,a)]. 14515 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14142,a(flip),b,14514,a)]. 14516 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(14154(a,1),14511(a,1,1))]. 14517 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(14(a,1),14516(a,1,2))]. 14518 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5223,a,14517,a),flip(a)]. 14520 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5075(a,1),14512(a,1,1))]. 14521 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(14(a,1),14520(a,1,2,2))]. 14523 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14393(a,1),14521(a,1,2))]. 14524 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(66,a,5738,a(flip),b,14523,a)]. 14525 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(14518(a,2),14524(a,1,1))]. 14526 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(13540,a,14525,a)]. 14527 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) * K(x * (L(z,u,w) \ y),y \ L(z,u,w))) / y,z). [para(6420(a,1),12467(a,2,1,1))]. 14528 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) / y) * K(x * (L(z,u,w) \ y),L(z,u,w) / y),z). [para(6422(a,1),14527(a,2,1))]. 14529 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x * (L(z,u,w) \ y))). [hyper(285,a,8027,a(flip),b,14528,a),flip(a)]. 14530 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x)). [hyper(285,a,11565,a(flip),b,14529,a),flip(a)]. 14531 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(y \ L(z,u,w),T(z,x)). [hyper(285,a,7745,a(flip),b,14530,a),flip(a)]. 14532 K(K(x * (y / L(z,u,w)),(y / L(z,u,w)) \ 1) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5696(a,2),14531(a,1,1))]. 14533 K(K(x * (y / L(z,u,w)),L(z,u,w) / y) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5708(a,1),14532(a,1,1,1))]. 14534 K(K(x * (L(y,z,u) \ w),L(y,z,u) / w) / (w / L(y,z,u)),y) = K(w \ L(y,z,u),T(y,x)). [para(12459(a,1),14533(a,1,1,1))]. 14535 K((x / K(y * (L(z,u,w) \ x),L(z,u,w) / x)) \ L(z,u,w),z) = K(x \ L(z,u,w),T(z,y)). [hyper(66,a,13455,a(flip),b,14534,a)]. 14536 K((x * K(L(y,z,u) / x,w * (L(y,z,u) \ x))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(7396(a,1),14535(a,1,1,1))]. 14537 K((x * K(x \ L(y,z,u),x / (L(y,z,u) / w))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(14330(a,1),14536(a,1,1,1,2))]. 14538 K((x \ L(y,z,u)) * K(x / (L(y,z,u) / w),x \ L(y,z,u)),y) = K(x \ L(y,z,u),T(y,w)). [para(6453(a,1),14537(a,1,1))]. 14539 K((x \ L(y,z,u)) * K((L(y,z,u) / w) \ x,L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(7744(a,1),14538(a,1,1,2))]. 14540 K((x \ L(y,z,u)) * K(w * (L(y,z,u) \ x),L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(14342(a,1),14539(a,1,1,2))]. 14541 K(x \ L(y,z,u),T(y,T(w * (L(y,z,u) \ x),x))) = K(x \ L(y,z,u),T(y,w)). [hyper(11011,a,14540,a)]. 14542 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,14347,a(flip),b,14541,a)]. 14543 K(x \ L(y,z,u),T(y,w * x)) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,10521,a(flip),b,14542,a)]. 14544 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,12701,a,b,14543,a)]. 14545 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * L(T(z,x * y),u,w)) = K(y \ L(z,u,w),T(z,x)). [para(15(a,1),14544(a,1,2,2))]. 14546 K((x * L(T(y,x * z),u,w)) / (x * z),y) = K(z \ L(y,u,w),T(y,x)). [hyper(10994,a,14545,a)]. 14548 K(((x * y) / x) \ L(z,u,w),z) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,13458,a(flip),b,14546,a)]. 14549 K(L(x,y,z) * (u \ K(u,w)),x) = K(u \ L(x,y,z),T(x,w)). [hyper(66,a,13446,a(flip),b,14548,a)]. 14550 K(x \ L(y,z,u),T(y,w)) = K(y * (x \ K(x,w)),y). [hyper(66,a,13953,a(flip),b,14549,a),flip(a)]. 14552 K(x \ L(y,z,u),T(y,w)) = K(x \ y,T(y,w)). [hyper(285,a,12110,a(flip),b,14550,a),flip(a)]. 14553 K((x / y) \ z,T(z,y)) = K(x \ (L(z,u,w) * y),z). [hyper(13465,a,14552,a),flip(a)]. 14555 K(x \ (L(y,z,u) * w),y) = K(y * (x \ w),y). [hyper(66,a,13793,a(flip),b,14553,a),flip(a)]. 14556 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [hyper(11095,a,14555,a)]. 14558 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(66,a,9347,a(flip),b,14556,a)]. 14559 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(285,a,13800,a(flip),b,14558,a),flip(a)]. 14560 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(66,a,13854,a(flip),b,14559,a)]. 14561 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(23(a,2),14560(a,2,1))]. 14562 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(13963,a,14561,a),flip(a)]. 14563 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(66,a,8727,a(flip),b,14562,a)]. 14564 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(7671,a,14563,a),flip(a)]. 14565 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(285,a,13730,a(flip),b,14563,a),flip(a)]. 14566 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(14563(a,1),13050(a,1,2,2))]. 14567 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(14563(a,1),13895(a,1,2,1,2,1))]. 14568 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(16(a,1),14565(a,1,1,2)),flip(a)]. 14569 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(13835,a,14568,a)]. 14570 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(285,a,9097,a(flip),b,14569,a),flip(a)]. 14573 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11406(a,1),14566(a,1,2))]. 14574 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(5576,a,14573,a)]. 14575 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(452(a,1),14564(a,1,2)),flip(a)]. 14576 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(14575(a,1),2732(a,1,2,2,2)),flip(a)]. 14577 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5152(a,1),14567(a,1,2,1))]. 14578 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(66,a,9335,a(flip),b,14577,a),flip(a)]. 14579 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(66,a,14563,a(flip),b,14578,a),flip(a)]. 14580 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(14578(a,1),11108(a,1,2))]. 14582 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(122,a,14579,a(flip),b,14450,a)]. 14583 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(452(a,1),14579(a,1,1)),flip(a)]. 14584 K(x,y) * (x \ K(z,L(x,u,w))) = T(x,L(z,u,w)) \ K(x,y). [para(14579(a,1),5848(a,1,2,2))]. 14585 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(11133,a,14580,a)]. 14586 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(14585(a,1),11159(a,2,2))]. 14587 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14582(a,1),9638(a,1,2,1))]. 14588 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(452(a,1),14583(a,1,2))]. 14589 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8035(a,1),14587(a,1,2,1,1))]. 14590 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(15(a,1),14588(a,1,2)),flip(a)]. 14591 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(66,a,7194,a(flip),b,14589,a)]. 14592 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(15(a,1),14590(a,1,1)),flip(a)]. 14593 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1283(a,1),14591(a,1,2,1,1))]. 14594 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(285,a,7181,a,b,14592,a),flip(a)]. 14595 T(x,y) / T(x / T(y,x),L(y,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(4120(a,1),14586(a,1,2,1))]. 14596 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(124,a,14593,a(flip),b,10505,a(flip)),flip(a)]. 14597 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = (K(x,y) \ 1) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(14584(a,1),11292(a,1,2,2)),flip(a)]. 14598 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(66,a,6691,a(flip),b,14594,a),flip(a)]. 14599 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(90(a,1),14598(a,1,2,1)),flip(a)]. 14600 T(x,y) / (y \ T(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(14098(a,1),14595(a,1,2))]. 14601 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(7147(a,1),14576(a,2,2,2,2))]. 14602 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2515(a,1),14601(a,2,2))]. 14603 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(90(a,1),14602(a,1,2,2,2,2,1,1,2))]. 14604 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(7662(a,1),14603(a,1,2,2,2)),flip(a)]. 14605 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2515(a,1),14604(a,2,2))]. 14606 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(15(a,1),14605(a,1,2,2)),flip(a)]. 14607 K(x,y \ ((y \ 1) \ z)) = y \ ((1 / y) \ K(x,z)). [hyper(128,a,14606,a),flip(a)]. 14608 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(14606(a,1),7399(a,1,1)),flip(a)]. 14609 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(66,a,14599,a(flip),b,14608,a)]. 14610 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14597(a,2,1))]. 14611 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (K(y,x) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14610(a,2,2,1))]. 14612 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (T(x,L(z,u,w)) \ 1). [para(10258(a,1),14611(a,2,2))]. 14613 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) * T(x,L(z,u,w)). [hyper(285,a,4398,a(flip),b,14612,a),flip(a)]. 14615 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(y,x) \ 1) = K(x,y) * T(y,L(z,u,w)). [para(5344(a,1),14613(a,1,1))]. 14616 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(x,y)) = K(x,y) * T(y,L(z,u,w)). [para(5320(a,1),14615(a,1,2,3))]. 14617 K(x,y) / (y \ K(z,L(y,u,w))) = K(x,y) * T(y,L(z,u,w)). [para(5333(a,1),14616(a,1,2))]. 14620 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (a(z,u,z) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(13505(a,1),12797(a,2,1,1))]. 14621 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (K(z,u) * y) \ (K(z,u) * (y * x)). [para(12856(a,1),14620(a,2,1))]. 14624 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = L(x,y,K(z,u)). [hyper(285,a,23,a,b,14621,a),flip(a)]. 14625 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(13505(a,1),14624(a,1,3))]. 14626 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(15(a,1),14625(a,1,1,3,2))]. 14629 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [hyper(14056,a,14626,a),flip(a)]. 14631 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5339(a,1),14629(a,1,3)),flip(a)]. 14632 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(285,a,14165,a(flip),b,14631,a),flip(a)]. 14633 L(x,y \ 1,K(y,z)) = x. [hyper(13167,a,14632,a),flip(a)]. 14634 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(14633(a,1),5632(a,1,2)),flip(a)]. 14635 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = (x \ K(x,y)) * z. [hyper(66,a,6146,a,b,14634,a)]. 14636 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ K(x \ y,y \ x)) * y,z). [para(14635(a,1),12354(a,1,1)),flip(a)]. 14637 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(285,a,6733,a(flip),b,14636,a),flip(a)]. 14639 K(x,(T((x \ y) \ 1,x \ y) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7187,a(flip),b,14637,a)]. 14640 K(x,(((x \ y) \ 1) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7178,a(flip),b,14639,a)]. 14641 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = K(((x \ y) \ 1) * y,z). [hyper(66,a,11838,a(flip),b,14640,a)]. 14643 ((L(x,y \ 1,y) / y) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4722(a,1),6178(a,1,1,1))]. 14644 ((L(x,y \ 1,y) / y) \ (x * K(y,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(3341(a,1),14643(a,1,1,2,2))]. 14645 ((L(x,y \ 1,y) / y) \ (x * K(y,y \ x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4664(a,1),14644(a,1,1,2,2))]. 14646 ((L(x,y \ 1,y) / y) \ (y * (x / y))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5435(a,1),14645(a,1,1,2))]. 14647 (L(x,y \ 1,y) / y) \ (y * (x / y)) = ((y \ 1) * x) \ x. [hyper(38,a,11381,a,b,14646,a),flip(a)]. 14649 (x * (y / x)) / (((x \ 1) * y) \ y) = L(y,x \ 1,x) / x. [hyper(185,a,14647,a)]. 14651 L(x,y \ 1,y) / y = x / R(y,y \ 1,x). [hyper(66,a,7601,a(flip),b,14649,a),flip(a)]. 14652 (x / R(y,y \ 1,x)) * y = L(x,y \ 1,y). [hyper(136,a,14651,a)]. 14653 L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x). [para(14652(a,1),1617(a,1,1))]. 14654 x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x). [hyper(66,a,1245,a(flip),b,14653,a)]. 14655 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (L(x,y \ 1,y) \ y)). [para(14654(a,1),10860(a,1,2,1,1))]. 14656 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ L(x,y \ 1,y)). [hyper(285,a,13468,a(flip),b,14655,a),flip(a)]. 14657 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ x). [hyper(285,a,11835,a(flip),b,14656,a),flip(a)]. 14659 K(x,y / (((z \ 1) * x) \ 1)) = K(x,(z / y) \ x). [hyper(66,a,12730,a(flip),b,14657,a)]. 14660 K(x,y / ((z * x) \ 1)) = K(x,((z \ 1) / y) \ x). [hyper(66,a,7201,a(flip),b,14659,a)]. 14661 R(K(x,((y \ 1) / (z / u)) \ x),z / u,u) = K(x,z / (((y * x) \ 1) * u)). [para(14660(a,1),6101(a,1,1))]. 14662 K(x,y / (((z * x) \ 1) * u)) = K(x,y / ((x \ (z \ 1)) * u)). [hyper(66,a,10861,a(flip),b,14661,a),flip(a)]. 14663 K(x,K(x,x \ y) / ((x \ ((x \ y) \ 1)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,13996,a(flip),b,14662,a),flip(a)]. 14664 K(x,((x \ ((x \ y) \ 1)) * (z \ y)) \ 1) = (1 / y) * (K(x,z) * y). [hyper(66,a,8157,a(flip),b,14663,a)]. 14666 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = (1 / y) * (K(x,z) * y). [hyper(66,a,13260,a(flip),b,14664,a)]. 14667 K(((x \ y) \ 1) * y,z) = (1 / y) * (K(x,z) * y). [hyper(66,a,14641,a(flip),b,14666,a)]. 14668 K(((x \ (y * x)) \ 1) * (y * x),z) = K((((x * y) \ 1) * y) \ 1,z). [hyper(285,a,13858,a(flip),b,14667,a),flip(a)]. 14669 K((((x * y) \ 1) * y) \ 1,z) = K((y \ 1) * (x * y),z). [para(6993(a,1),14668(a,1,1)),flip(a)]. 14670 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * ((y \ x) * y),z). [hyper(66,a,13868,a(flip),b,14669,a)]. 14671 K(((x \ 1) * y) \ 1,T(z,y)) = K(T((y \ 1) * x,y),z). [para(2179(a,1),14670(a,2,1))]. 14672 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * x,T(z,y)). [hyper(285,a,7761,a(flip),b,14671,a),flip(a)]. 14673 K((x \ 1) * y,T(T(z,y),x)) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,10450,a(flip),b,14672,a),flip(a)]. 14674 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(10965,a,14673,a),flip(a)]. 14676 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(66,a,6707,a(flip),b,14674,a),flip(a)]. 14677 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(14674(a,1),6907(a,2,1))]. 14678 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(66,a,6689,a(flip),b,14676,a),flip(a)]. 14679 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(14678(a,1),6971(a,1,1))]. 14680 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(15(a,1),14677(a,2,1,1))]. 14681 (1 / (x \ K(y,z))) \ y = x \ T(y,z). [hyper(39,a,172,a,b,14680,a),flip(a)]. 14682 K(x,y) / (z \ K(x,u)) = T(x,y) / (z \ T(x,u)). [para(14681(a,1),14680(a,1,2)),flip(a)]. 14683 K(x,y) / (y \ K(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [hyper(285,a,14600,a(flip),b,14682,a),flip(a)]. 14684 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6709(a,1),14679(a,1,1))]. 14685 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(180,a,14684,a)]. 14687 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(90(a,1),14685(a,1,1,2))]. 14688 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14687(a,2),7522(a,2,1))]. 14689 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(16(a,1),14688(a,1,2,1,1)),flip(a)]. 14690 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(66,a,14609,a,b,14689,a)]. 14691 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [hyper(124,a,14690,a(flip),b,14607,a(flip)),flip(a)]. 14692 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(17(a,1),14691(a,1,2,2)),flip(a)]. 14693 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(66,a,14596,a,b,14692,a)]. 14694 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(87(a,1),14693(a,1,1)),flip(a)]. 14696 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14694(a,2),7801(a,2,2)),flip(a)]. 14697 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [hyper(66,a,14617,a(flip),b,14683,a)]. 14698 x * a(y,z,K(x \ T(u,x),x)) = x * a(y,z,K(u,x)). [hyper(66,a,14574,a(flip),b,14697,a),flip(a)]. 14699 x * a(y,z,K(x \ u,x)) = x * a(y,z,K(u,x)). [para(4558(a,1),14698(a,1,2,3))]. 14700 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(259,a,14699,a),flip(a)]. 14702 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(14(a,1),14700(a,1,3,1)),flip(a)]. 14703 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6484(a,1),14700(a,1,3))]. 14704 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(13616(a,2),14700(a,1,3))]. 14705 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(14702(a,2),11359(a,1,1))]. 14706 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11360,a,14705,a)]. 14707 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(66,a,14703,a,b,14706,a)]. 14708 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(14570(a,1),14706(a,1,3)),flip(a)]. 14709 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(66,a,14707,a(flip),b,14708,a),flip(a)]. 14710 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(285,a,7801,a(flip),b,14696,a),flip(a)]. 14711 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(30(a,2),14710(a,1,2,1,2,2))]. 14712 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(30(a,2),14711(a,1,2,1,2,2,1))]. 14713 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(66,a,10359,a(flip),b,14712,a)]. 14715 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(90(a,1),14713(a,1,2))]. 14716 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(66,a,11681,a,b,14715,a)]. 14719 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(66,a,11492,a(flip),b,14716,a),flip(a)]. 14721 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14719(a,1),10729(a,1,1))]. 14722 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11830(a,1),14721(a,1,1))]. 14724 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(78(a,1),14722(a,1,1,2))]. 14725 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5514(a,1),14724(a,1,2))]. 14726 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(12134,a,14725,a)]. 14727 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2229(a,1),14726(a,1,2))]. 14728 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(11873(a,1),14727(a,1,2))]. 14729 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(128,a,14728,a)]. 14730 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14729(a,1),14077(a,1,1)),flip(a)]. 14731 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(121,a,14730,a,b,12372,a(flip))]. 14733 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [hyper(124,a,14731,a(flip),b,12777,a)]. 14734 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(285,a,13936,a(flip),b,14733,a),flip(a)]. 14735 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(13945(a,1),14734(a,1,2))]. 14736 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14735(a,1),441(a,1,2,2))]. 14738 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(103(a,1),14736(a,1,2))]. 14739 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12844,a,14738,a),flip(a)]. 14740 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13572,a,14739,a),flip(a)]. 14742 L(a(x,y,x),z,u) = a(x,y,x). [para(17(a,1),14740(a,1,2))]. 14751 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(66,a,14408,a(flip),b,14742,a),flip(a)]. 14752 a(x,L(y,z,u),x) = a(x,y,x). [hyper(66,a,14216,a(flip),b,14742,a)]. 14757 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(124,a,14752,a(flip),b,12777,a),flip(a)]. 14758 R(x,L(y,z,u),x) = R(x,y,x). [hyper(285,a,12778,a(flip),b,14757,a),flip(a)]. 14759 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),12180(a,1,2,1))]. 14761 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14751(a,1),12814(a,1,1)),flip(a)]. 14762 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(285,a,12814,a(flip),b,14761,a),flip(a)]. 14763 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),14759(a,1,2,2,1))]. 14765 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4182(a,2),14763(a,1,2))]. 14767 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4250(a,1),14765(a,1,2,2))]. 14768 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13726(a,1),14767(a,1,2))]. 14769 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(726(a,1),14768(a,1,2)),flip(a)]. 14770 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(66,a,9803,a(flip),b,14769,a)]. 14771 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(122,a,14770,a(flip),b,5130,a(flip))]. 14772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(66,a,11854,a(flip),b,14771,a),flip(a)]. 14773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(285,a,14580,a(flip),b,14772,a),flip(a)]. 14774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(17(a,1),14773(a,1,1))]. 14775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(66,a,10872,a(flip),b,14774,a)]. 14776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(13959(a,1),14775(a,2,3))]. 14777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(285,a,14700,a(flip),b,14776,a),flip(a)]. 14779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(66,a,13780,a(flip),b,14777,a)]. 14780 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(14777(a,1),14709(a,1,3)),flip(a)]. 14781 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(66,a,6675,a(flip),b,14779,a)]. 14782 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(14709(a,1),14780(a,2,3))]. 14783 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10691(a,1),14782(a,1,3))]. 14784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(66,a,14704,a(flip),b,14783,a)]. 14785 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14784(a,1),11127(a,1,2))]. 14786 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11702(a,1),14785(a,1,2)),flip(a)]. 14787 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(285,a,13,a(flip),b,14786,a),flip(a)]. 14789 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14787(a,1),9935(a,1,2,2)),flip(a)]. 14790 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(285,a,9935,a(flip),b,14789,a),flip(a)]. 14791 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(124,a,14790,a(flip),b,5125,a(flip)),flip(a)]. 14794 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(285,a,5130,a,b,14791,a),flip(a)]. 14795 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5075(a,1),14781(a,1,1))]. 14796 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(14(a,1),14795(a,1,2,2))]. 14798 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14762(a,1),14796(a,1,2))]. 14799 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(66,a,5738,a(flip),b,14798,a)]. 14800 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(66,a,9220,a(flip),b,14799,a)]. 14801 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14794(a,1),14800(a,1,2,1))]. 14802 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5476,a,14801,a)]. 14803 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),9941(a,1,2,1,2,2,2))]. 14804 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14803(a,1,2,1,2,2))]. 14805 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14804(a,1,2,1))]. 14806 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10424(a,1),14805(a,1,2,1,2))]. 14807 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7814(a,1),14806(a,1,2,1,2))]. 14809 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10126(a,1),14807(a,1,2,1))]. 14810 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),14809(a,1,2,2,1,2,1,2,2))]. 14811 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14810(a,1,2,2,1,2,1,2))]. 14812 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7860(a,1),14811(a,1,2,2,1,2))]. 14813 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9949(a,1),14812(a,1,2,2,1,2,2))]. 14814 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7789(a,1),14813(a,1,2,2,1,2,2))]. 14816 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(x,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10114(a,1),14814(a,1,2,2,1,2))]. 14817 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14816(a,1,2,2,1,2))]. 14818 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5414(a,2),14817(a,1,2,2,1))]. 14819 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(12518(a,2),14818(a,1,2))]. 14820 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,12519,a(flip),b,14819,a)]. 14821 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14820(a,1,2)),flip(a)]. 14822 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14821,a),flip(a)]. 14823 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1080(a,1),14822(a,1,1)),flip(a)]. 14824 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(66,a,14004,a,b,14823,a)]. 14825 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1080(a,1),14824(a,1,1))]. 14826 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14825(a,1),10667(a,1,2))]. 14827 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13330,a,14826,a),flip(a)]. 14828 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(285,a,7884,a,b,14827,a),flip(a)]. 14830 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(66,a,13486,a(flip),b,14828,a)]. 14831 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(285,a,7881,a,b,14830,a),flip(a)]. 14833 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(66,a,13487,a,b,14831,a)]. 14834 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(66,a,13898,a,b,14833,a)]. 14836 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(285,a,11571,a(flip),b,14834,a),flip(a)]. 14837 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(13318,a,14836,a)]. 14838 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14836(a,1),13318(a,1))]. 14839 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,7878,a,b,14837,a)]. 14840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(66,a,12269,a,b,14839,a)]. 14841 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(13375,a,14840,a)]. 14842 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * R(K(y,z),u,w)) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(27(a,2),11174(a,1,1)),flip(a)]. 14843 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(14440(a,1),14842(a,2,1,2,2))]. 14844 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ v5. [para(11042(a,1),14843(a,2,2))]. 14845 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [hyper(285,a,5119,a,b,14844,a),flip(a)]. 14846 K(K(x,y) * R(K(y,z),u,w),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(10947(a,1),14845(a,1,1,2))]. 14848 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(11042(a,1),14846(a,1,2))]. 14849 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(14460(a,1),14848(a,1,1)),flip(a)]. 14851 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(66,a,12009,a(flip),b,14849,a)]. 14852 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(14851(a,1),12044(a,1,1,1))]. 14853 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(2257(a,1),14852(a,1,1)),flip(a)]. 14854 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(285,a,8817,a(flip),b,14853,a),flip(a)]. 14855 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7860(a,1),14854(a,1,2,1,1))]. 14856 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(10155(a,1),14855(a,1,2,1))]. 14857 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5190(a,2),14856(a,1,2))]. 14858 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(66,a,12254,a,b,14857,a)]. 14859 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7889(a,1),14858(a,1,1))]. 14860 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(66,a,11953,a(flip),b,14859,a)]. 14861 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(66,a,14468,a(flip),b,14860,a),flip(a)]. 14862 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(37,a,5130,a(flip),b,14861,a),flip(a)]. 14863 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(66,a,14851,a,b,14862,a)]. 14864 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(14863(a,1),14485(a,1,2))]. 14865 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(125,a,14864,a),flip(a)]. 14866 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(285,a,14862,a,b,14865,a),flip(a)]. 14867 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7881(a,1),14865(a,1,1))]. 14868 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7881(a,1),14866(a,1,1))]. 14869 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14497(a,2),14866(a,2,1)),flip(a)]. 14870 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(14518(a,1),14867(a,2,2))]. 14871 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(66,a,14868,a,b,14869,a)]. 14872 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(66,a,14871,a(flip),b,14870,a),flip(a)]. 14873 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(66,a,10261,a,b,14872,a)]. 14874 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7884(a,2),14873(a,2,1))]. 14875 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(13364,a,14874,a)]. 14876 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(66,a,10277,a(flip),b,14875,a)]. 14877 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7908(a,1),14876(a,2,1))]. 14879 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10156(a,1),14877(a,2,1))]. 14880 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(13329,a,14879,a)]. 14883 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(66,a,13286,a(flip),b,14880,a)]. 14885 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,14841,a(flip),b,14883,a),flip(a)]. 14886 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(11539(a,1),14885(a,1,1)),flip(a)]. 14887 K(x,K(y * z,a(y,z,u))) = 1. [hyper(285,a,13359,a(flip),b,14886,a),flip(a)]. 14888 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14838,a,14887,a)]. 14891 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14888(a,1),7948(a,1,1)),flip(a)]. 14892 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(285,a,12,a(flip),b,14891,a),flip(a)]. 14893 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14892(a,1),7978(a,1,1)),flip(a)]. 14894 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7726,a,14893,a)]. 14895 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(10978,a,14894,a)]. 14896 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(66,a,13102,a,b,14895,a)]. 14897 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(14518(a,2),14896(a,1,1))]. 14898 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14491,a,b,14897,a)]. 14899 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14515,a(flip),b,14898,a)]. 14901 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14899(a,1),14526(a,1,2))]. 14902 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(66,a,13541,a(flip),b,14901,a)]. 14903 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5476,a,14902,a)]. 14905 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(285,a,14497,a(flip),b,14903,a),flip(a)]. 14908 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(66,a,14802,a(flip),b,14905,a),flip(a)]. 14909 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14908(a,1),14479(a,1,1,2))]. 14911 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(11727,a,14909,a),flip(a)]. 14915 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(66,a,14908,a(flip),b,14911,a),flip(a)]. 14916 $F # answer("aK3 (4213)"). [resolve(14915,a,73,a)]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 4 at 2020.56 (+ 97.14) seconds: "aK3 (3241)". % Length of proof is 12377. % Level of proof is 672. % Maximum clause weight is 513.000 (73 w/o degradation). % Given clauses 13407 (19.951 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 8 a(x,y,K(z,u)) = a(z,y,K(u,x)) # label("aK3 (3241)") # label(non_clause) # label(goal). [goal]. 12 1 * x = x. [assumption]. 13 x * 1 = x. [assumption]. 14 x \ (x * y) = y. [assumption]. 15 x * (x \ y) = y. [assumption]. 16 (x * y) / y = x. [assumption]. 17 (x / y) * y = x. [assumption]. 18 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 19 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(18),flip(a)]. 20 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 21 K(x,y) = (y * x) \ (x * y). [copy(20),flip(a)]. 22 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 23 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(22),flip(a)]. 24 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 25 R(x,y,z) = ((x * y) * z) / (y * z). [copy(24),flip(a)]. 26 x \ (y * x) = T(y,x). [assumption]. 27 T(x,y) = y \ (x * y). [copy(26),flip(a)]. 28 T(T(x,y),z) = T(T(x,z),y). [assumption]. 29 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 30 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(29),flip(a)]. 31 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 32 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(31),flip(a)]. 33 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 34 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(33),flip(a)]. 35 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 36 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 37 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 38 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 39 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 40 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 41 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 42 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 43 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 44 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 45 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 46 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 47 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 48 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 49 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 50 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 51 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 52 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 53 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 54 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 55 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 56 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 57 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 58 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 59 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 60 x != y | x * z = y * z # label("Aux 1"). [assumption]. 61 x != y | z * x = z * y # label("Aux 2"). [assumption]. 62 x != y | x / z = y / z # label("Aux 3"). [assumption]. 63 x != y | z / x = z / y # label("Aux 4"). [assumption]. 64 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 65 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 66 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 70 a(c11,c10,K(c12,c9)) != a(c9,c10,K(c11,c12)) # label("aK3 (3241)") # answer("aK3 (3241)"). [deny(8)]. 71 a(c9,c10,K(c11,c12)) != a(c11,c10,K(c12,c9)) # answer("aK3 (3241)"). [copy(70),flip(a)]. 78 1 \ x = x. [para(12(a,1),14(a,1,2))]. 79 x \ x = 1. [para(13(a,1),14(a,1,2))]. 80 x \ (x * (y \ (y * z))) = z. [para(14(a,2),14(a,1))]. 81 (x * (x \ 1)) * y = y. [para(15(a,2),12(a,1,1))]. 82 x * (y * (y \ 1)) = x. [para(15(a,2),13(a,1,2))]. 83 x \ (y * (y \ (x * z))) = z. [para(15(a,2),14(a,1,2))]. 84 x * (y * (y \ (x \ z))) = z. [para(15(a,2),15(a,1,2))]. 85 x / x = 1. [para(12(a,1),16(a,1,1))]. 86 x / 1 = x. [para(13(a,1),16(a,1,1))]. 87 x / (y \ x) = y. [para(15(a,1),16(a,1,1))]. 88 ((1 / x) * x) * y = y. [para(17(a,2),12(a,1,1))]. 89 x * ((1 / y) * y) = x. [para(17(a,2),13(a,1,2))]. 90 (x / y) \ x = y. [para(17(a,1),14(a,1,2))]. 91 (x \ (x * (y / z))) * z = y. [para(14(a,2),17(a,1,1))]. 92 ((x * (x \ y)) / z) * z = y. [para(17(a,2),15(a,1))]. 93 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(19(a,2),15(a,1,2))]. 94 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(15(a,1),19(a,2,2,1)),flip(a)]. 95 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(17(a,1),19(a,2,2,1)),flip(a)]. 96 (x * y) * K(y,x) = y * x. [para(21(a,2),15(a,1,2))]. 97 x \ ((y \ x) * y) = K(y \ x,y). [para(15(a,1),21(a,2,1)),flip(a)]. 98 ((x \ y) * x) \ y = K(x,x \ y). [para(15(a,1),21(a,2,2)),flip(a)]. 99 x \ (y * (x / y)) = K(y,x / y). [para(17(a,1),21(a,2,1)),flip(a)]. 100 (x * (y / x)) \ y = K(y / x,x). [para(17(a,1),21(a,2,2)),flip(a)]. 101 x \ (1 * (x * y)) = L(y,x,1). [para(12(a,1),23(a,2,1)),flip(a)]. 102 (x * y) \ (x * y) = L(1,y,x). [para(13(a,1),23(a,2,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(23(a,2),15(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(15(a,1),23(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(15(a,1),23(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(17(a,1),23(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(17(a,1),23(a,2,2,2))]. 108 (x * y) / (x * y) = R(1,x,y). [para(12(a,1),25(a,2,1,1)),flip(a)]. 109 ((x * 1) * y) / y = R(x,1,y). [para(12(a,1),25(a,2,2)),flip(a)]. 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(15(a,1),25(a,2,1,1))]. 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(15(a,1),25(a,2,1))]. 112 R(x,y,z) * (y * z) = (x * y) * z. [para(25(a,2),17(a,1,1))]. 113 R(x / y,y,z) = (x * z) / (y * z). [para(17(a,1),25(a,2,1,1))]. 114 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(17(a,1),25(a,2,2)),flip(a)]. 115 T(x,x) = x. [para(27(a,2),14(a,1))]. 116 x * T(y,x) = y * x. [para(27(a,2),15(a,1,2))]. 117 T(x,x \ y) = (x \ y) \ y. [para(15(a,1),27(a,2,2))]. 118 T(x / y,y) = y \ x. [para(17(a,1),27(a,2,2))]. 119 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(32(a,2),28(a,1,1)),flip(a)]. 120 x != y | 1 * z != y | x = z. [para(12(a,1),37(a,1))]. 121 1 * x != y | z != y | x = z. [para(12(a,1),37(b,1))]. 122 x != y | z * u != y | z \ x = u. [para(15(a,1),37(a,1))]. 123 x != y | z * u != y | x / u = z. [para(17(a,1),38(a,1))]. 124 x != y | z \ u != y | z * x = u. [para(14(a,1),41(a,1))]. 125 1 * x != y | x = y. [para(12(a,1),46(a,2))]. 126 x * y != x | 1 = y. [para(13(a,1),46(a,1)),flip(a)]. 128 x * y != z | x \ z = y. [para(15(a,1),46(a,1)),flip(a)]. 129 x * (x \ (y * z)) != y * u | z = u. [para(15(a,2),46(a,1))]. 130 (x / y) * z != x | y = z. [para(17(a,1),46(a,1)),flip(a)]. 132 x * 1 != y | y = x. [para(13(a,1),47(a,1)),flip(a)]. 133 x * 1 != y | x = y. [para(13(a,1),47(a,2))]. 134 x * (y \ z) != z | x = y. [para(15(a,1),47(a,2))]. 135 x * y != z | z / y = x. [para(17(a,1),47(a,1)),flip(a)]. 136 x / y != z | z * y = x. [para(16(a,1),49(a,1)),flip(a)]. 138 x \ y != z | x * z = y. [para(14(a,1),50(a,1)),flip(a)]. 140 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(23(a,2),51(a,1)),flip(a)]. 142 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(28(a,1),52(a,1))]. 143 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(30(a,2),52(a,1)),flip(a)]. 144 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(32(a,2),52(a,1)),flip(a)]. 146 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(34(a,2),53(a,1))]. 147 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(35(a,1),53(a,1))]. 148 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(32(a,1),54(a,1))]. 149 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(34(a,1),54(a,1)),flip(a)]. 150 ((x / y) * y) * z = x * z. [hyper(60,a,17,a)]. 151 (x * (x \ y)) * z = y * z. [hyper(60,a,15,a)]. 152 x * (y * (y \ z)) = x * z. [hyper(61,a,15,a)]. 153 ((x / y) * y) / z = x / z. [hyper(62,a,17,a)]. 154 (x * (x \ y)) \ z = y \ z. [hyper(64,a,15,a)]. 155 (x * y) / y = (x / z) * z. [hyper(66,a,17,a,b,16,a(flip)),flip(a)]. 156 (x / y) * y = z * (z \ x). [hyper(66,a,17,a,b,15,a(flip))]. 157 (x / y) * y = x * 1. [hyper(66,a,17,a,b,13,a(flip))]. 158 x \ (x * y) = z * (z \ y). [hyper(66,a,15,a,b,14,a(flip)),flip(a)]. 159 x * (x \ y) = y * 1. [hyper(66,a,15,a,b,13,a(flip))]. 160 1 \ (x * 1) = x. [hyper(66,a,78,a,b,13,a)]. 161 (x * (x \ 1)) \ y = y. [para(15(a,2),78(a,1,1))]. 162 ((1 / x) * x) \ y = y. [para(17(a,2),78(a,1,1))]. 163 1 \ x != y | y = x. [para(78(a,1),50(a,1)),flip(a)]. 165 K(x,x) = 1. [hyper(66,a,21,a,b,79,a)]. 166 x / ((1 / y) * y) = x. [para(17(a,2),86(a,1,2))]. 167 x / 1 != y | y = x. [para(86(a,1),49(a,1)),flip(a)]. 168 T(x,R(x,y,z)) = x. [hyper(45,a,32,a,b,115,a(flip))]. 169 T(x,L(x,y,z)) = x. [hyper(44,a,30,a,b,115,a(flip))]. 170 T(x,T(x,y)) = x. [hyper(43,a,28,a,b,115,a(flip))]. 171 T(T(x,y),x) = T(x,y). [para(115(a,1),28(a,1,1)),flip(a)]. 172 x / (y \ x) = z / (y \ z). [hyper(66,a,87,a,b,87,a(flip))]. 173 (x * y) / y = z / (x \ z). [hyper(66,a,87,a,b,16,a(flip)),flip(a)]. 174 x / (y \ x) = z * (z \ y). [hyper(66,a,87,a,b,15,a(flip))]. 175 (x / (y \ x)) * z = y * z. [hyper(60,a,87,a)]. 176 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(39,a,25,a(flip),b,87,a),flip(a)]. 177 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(19(a,2),87(a,1,2))]. 178 (x * (y * z)) / L(z,y,x) = x * y. [para(23(a,2),87(a,1,2))]. 179 (x * y) / T(x,y) = y. [para(27(a,2),87(a,1,2))]. 180 x / y != z | z \ x = y. [para(87(a,1),48(a,1)),flip(a)]. 181 x / (y / ((z \ x) \ y)) = z. [para(87(a,2),87(a,1,2))]. 182 ((x / y) \ x) * z = y * z. [hyper(60,a,90,a)]. 183 x * ((y / (x \ z)) \ y) = z. [hyper(41,a,14,a,b,90,a(flip))]. 184 ((x / (y / z)) \ x) \ y = z. [hyper(39,a,87,a,b,90,a(flip))]. 185 x \ y != z | y / z = x. [para(90(a,1),51(a,1)),flip(a)]. 186 T(x,1) = x. [hyper(66,a,27,a,b,160,a)]. 187 K(x,1) = 1. [hyper(58,a,186,a)]. 188 T(1,x) = 1. [hyper(57,a,186,a)]. 189 T(x,y \ y) = x. [para(79(a,2),186(a,1,2))]. 191 T(x,T(T(x,y),z)) = x. [hyper(43,a,28,a,b,170,a(flip))]. 192 T(x,y \ y) != z | x = z. [para(189(a,1),52(a,2))]. 193 ((1 / x) * x) * y != z | y = z. [para(17(a,2),125(a,1,1))]. 194 K(x,1) * y != z | y = z. [para(187(a,2),125(a,1,1))]. 195 x * (y * (y \ 1)) != z | z = x. [para(15(a,2),132(a,1,2))]. 196 x / (y * (y \ 1)) != z | z = x. [para(15(a,2),167(a,1,2))]. 197 T(x,R(T(x,y),z,u)) = x. [hyper(43,a,28,a,b,168,a(flip))]. 198 T(x,L(L(x,y,z),u,w)) = x. [hyper(44,a,30,a,b,169,a(flip))]. 199 T(T(x,y),L(x,z,u)) = T(x,y). [para(169(a,1),28(a,1,1)),flip(a)]. 200 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(81(a,1),25(a,2,1))]. 202 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(82(a,1),19(a,2,1)),flip(a)]. 203 L(x \ 1,x,y) = (y * x) \ y. [para(82(a,1),23(a,2,2))]. 204 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(88(a,1),19(a,2,2)),flip(a)]. 205 R(1 / x,x,y) = y / (x * y). [para(88(a,1),25(a,2,1))]. 206 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(89(a,1),19(a,2,1)),flip(a)]. 207 (x \ y) * T(x,x \ y) = y. [hyper(66,a,116,a,b,15,a)]. 208 T((x * y) / x,x) = y. [hyper(37,a,17,a(flip),b,116,a),flip(a)]. 209 (x * T(y,x)) / x = y. [hyper(38,a,17,a,b,116,a(flip))]. 210 x \ (y * T(x,y)) = y. [hyper(37,a,15,a,b,116,a(flip))]. 211 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(116(a,1),19(a,2,1,2)),flip(a)]. 212 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(116(a,1),19(a,2,2,1)),flip(a)]. 213 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(116(a,1),19(a,2,2)),flip(a)]. 214 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(116(a,1),21(a,2,1)),flip(a)]. 215 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(116(a,1),23(a,2,1)),flip(a)]. 216 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(116(a,1),23(a,2,2,2)),flip(a)]. 217 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(116(a,1),25(a,2,1,1)),flip(a)]. 218 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(116(a,1),25(a,2,1)),flip(a)]. 219 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(116(a,1),25(a,2,2)),flip(a)]. 220 T(x,y) \ (x * y) = T(y,T(x,y)). [para(116(a,1),27(a,2,2)),flip(a)]. 221 x * T(T(y,x),z) = T(y,z) * x. [para(28(a,1),116(a,1,2))]. 222 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(30(a,2),116(a,1,2))]. 223 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(32(a,2),116(a,1,2))]. 224 x * y != z | y * u != z | T(x,y) = u. [para(116(a,1),37(a,1))]. 225 x * y != z * x | T(z,x) = y. [para(116(a,1),46(a,1)),flip(a)]. 226 x * T(y,x) != y * z | z = x. [para(116(a,2),46(a,2)),flip(a)]. 227 x * T(y,x) != z * x | y = z. [para(116(a,2),47(a,1))]. 228 x * T(y,x) != z * x | z = y. [para(116(a,2),47(a,2)),flip(a)]. 229 T(x,y) * x = x * T(x,y). [para(170(a,1),116(a,1,2))]. 230 T(x / (x / y),x / y) = y. [hyper(66,a,118,a,b,90,a)]. 231 T(T(x / y,z),y) = T(y \ x,z). [para(118(a,1),28(a,1,1)),flip(a)]. 232 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(118(a,1),30(a,1,1)),flip(a)]. 233 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(118(a,1),32(a,1,1)),flip(a)]. 235 x * 1 != y * z | x / z = y. [para(157(a,1),47(a,1))]. 236 (x / y) * y != z | z = x. [para(157(a,2),132(a,1))]. 237 (x / y) * y != z | x = z. [para(157(a,2),133(a,1))]. 238 x \ (y * (y \ x)) = 1. [hyper(37,a,15,a,b,159,a(flip))]. 239 x * 1 != y * z | y \ x = z. [para(159(a,1),46(a,1))]. 240 x * (x \ y) != z | z = y. [para(159(a,2),132(a,1))]. 241 x * (x \ y) != z | y = z. [para(159(a,2),133(a,1))]. 242 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(66,a,23,a,b,161,a),flip(a)]. 243 K(x \ 1,x) = (x \ 1) * x. [hyper(66,a,21,a,b,161,a)]. 244 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(66,a,23,a,b,162,a),flip(a)]. 245 K(x,1 / x) = x * (1 / x). [hyper(66,a,21,a,b,162,a)]. 246 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(66,a,19,a,b,162,a),flip(a)]. 247 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(66,a,25,a,b,166,a),flip(a)]. 248 K(T(x,y),x) = 1. [hyper(58,a,171,a)]. 249 x / T(y,y \ x) = y \ x. [para(15(a,1),179(a,1,1))]. 250 (x * y) / z != y | T(x,y) = z. [para(179(a,1),48(a,1)),flip(a)]. 251 (x * y) / T(y,T(x,y)) = T(x,y). [para(116(a,1),179(a,1,1))]. 252 (x * T(T(y,x),z)) / x = T(y,z). [hyper(43,a,28,a,b,208,a),flip(a)]. 253 T(T((x * y) / x,z),x) = T(y,z). [para(208(a,1),28(a,1,1)),flip(a)]. 254 T(x,y) != z | (y * z) / y = x. [para(208(a,1),52(a,1)),flip(a)]. 255 T((x * y) / x,y) = (x * y) / x. [para(208(a,1),170(a,1,2))]. 256 K(x,(y * x) / y) = 1. [para(208(a,1),248(a,1,1))]. 257 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(30(a,2),210(a,1,2,2))]. 258 T(x,(y * x) / y) = x. [hyper(59,a,256,a)]. 259 x * y != x * z | z = y. [para(16(a,1),130(a,1,1))]. 260 x * L(y,z,u) != u * (z * y) | u * z = x. [para(23(a,2),134(a,1,2)),flip(b)]. 262 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(25(a,2),236(a,1,1)),flip(b)]. 263 x * T(y,x) != z | y * x = z. [para(179(a,1),236(a,1,1)),flip(b)]. 264 x * y != z | y * T(x,y) = z. [para(209(a,1),236(a,1,1)),flip(b)]. 265 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(23(a,2),240(a,1,2)),flip(b)]. 267 x \ ((x * y) * L(z,y,x)) = y * z. [para(23(a,2),83(a,1,2,2))]. 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(84(a,1),23(a,2,2))]. 269 ((x * (x \ y)) / z) \ y = z. [hyper(128,a,92,a)]. 271 x * K(y \ x,y) = (y \ x) * y. [para(15(a,1),96(a,1,1))]. 272 x * K(y,x / y) = y * (x / y). [para(17(a,1),96(a,1,1))]. 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(96(a,1),23(a,2,2,2)),flip(a)]. 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(96(a,1),25(a,2,1)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(96(a,1),46(a,1)),flip(a)]. 278 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(65,a,117,a)]. 279 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(63,a,117,a)]. 280 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(61,a,117,a)]. 281 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(60,a,117,a)]. 282 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(117(a,1),28(a,1,1)),flip(a)]. 284 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(117(a,2),117(a,1,2))]. 285 x != y | z != y | x = z. [para(12(a,1),120(b,1))]. 286 ((x / y) * y) * (x \ z) = z. [hyper(285,a,15,a(flip),b,150,a),flip(a)]. 287 x * y != z * y | (z / u) * u = x. [para(150(a,1),47(a,2)),flip(b)]. 288 (x / (y * (y \ z))) * z = x. [hyper(237,a,152,a),flip(a)]. 289 (((x / y) * y) / z) \ x = z. [hyper(39,a,87,a(flip),b,153,a),flip(a)]. 291 x / y != (z / u) * u | z * y = x. [para(155(a,1),49(a,1)),flip(a)]. 293 ((x / y) * y) * z != u | x * z = u. [para(155(a,1),236(a,1,1)),flip(b)]. 294 (x * y) / y != z | z = x. [para(155(a,2),236(a,1))]. 295 (x * y) / y != z | x = z. [para(155(a,2),237(a,1))]. 296 x / x != y | 1 = y. [para(12(a,1),294(a,1,1)),flip(b)]. 297 x / (y \ x) != z | z = y. [para(15(a,1),294(a,1,1))]. 298 (x * T(y,x)) / x != z | z = y. [para(116(a,2),294(a,1,1))]. 299 (x / y) * y != z * u | z \ x = u. [para(156(a,2),46(a,1))]. 300 x * (x \ y) != z * u | y / u = z. [para(156(a,1),47(a,1))]. 302 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),50(a,1)),flip(a)]. 303 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),240(a,1,2)),flip(b)]. 304 x \ (x * y) != z | z = y. [para(158(a,2),240(a,1))]. 305 x \ (x * y) != z | y = z. [para(158(a,2),241(a,1))]. 306 x \ x != y | 1 = y. [para(13(a,1),304(a,1,2)),flip(b)]. 307 (x / y) \ x != z | z = y. [para(17(a,1),304(a,1,2))]. 308 x \ (y * x) != z | T(y,x) = z. [para(116(a,1),304(a,1,2)),flip(b)]. 310 (x * y) \ (y * x) != z | K(y,x) = z. [para(96(a,1),304(a,1,2)),flip(b)]. 311 (x / y) \ x != z | y = z. [para(17(a,1),305(a,1,2))]. 312 x \ ((y / (x \ y)) * z) = z. [hyper(39,a,16,a,b,172,a),flip(a)]. 315 (x / (y \ x)) * z != u | y * z = u. [para(173(a,1),236(a,1,1)),flip(b)]. 316 (x * (x \ y)) \ z != u | y \ z = u. [para(174(a,1),307(a,1,1)),flip(b)]. 317 ((x / y) \ x) * (y \ z) = z. [hyper(285,a,15,a(flip),b,182,a),flip(a)]. 318 ((x / y) \ x) * z != u | y \ u = z. [para(182(a,2),128(a,1))]. 319 (x / y) * ((z / y) \ z) = x. [para(90(a,1),183(a,1,2,1,2))]. 320 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(207(a,1),23(a,2,2,2))]. 322 (x \ y) * z != y | T(x,x \ y) = z. [para(207(a,1),46(a,1)),flip(a)]. 324 T(x / (x / y),(z / (x / y)) \ z) = y. [para(90(a,2),230(a,1,2))]. 325 x * T(x \ 1,x) = K(x \ 1,x). [hyper(285,a,116,a,b,243,a)]. 326 (x \ 1) \ K(x \ 1,x) = x. [hyper(128,a,243,a(flip))]. 327 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(243(a,2),19(a,2,1,2)),flip(a)]. 328 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(243(a,2),25(a,2,1,1)),flip(a)]. 329 x \ K(x \ 1,x) = T(x \ 1,x). [para(243(a,2),27(a,2,2)),flip(a)]. 331 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(245(a,2),23(a,2,1)),flip(a)]. 332 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(32(a,2),249(a,1,2))]. 334 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(286(a,1),25(a,2,1))]. 335 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(25(a,2),288(a,1,1))]. 336 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(249(a,1),317(a,1,1,1))]. 337 x * ((y / z) \ y) != u | u / z = x. [para(319(a,1),47(a,1)),flip(a)]. 338 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(249(a,1),319(a,1,2,1))]. 339 (x \ 1) * x != y | K(x \ 1,x) = y. [para(326(a,1),240(a,1,2)),flip(b)]. 340 x \ (x * y) = L(y,x,1). [para(12(a,1),101(a,1,2))]. 341 L(x,y,1) = x. [hyper(305,a,340,a),flip(a)]. 342 L(x,y,1) = z \ (z * x). [hyper(285,a,14,a,b,341,a),flip(a)]. 344 L(x,y,1) != z \ (z * u) | u = x. [para(342(a,1),53(a,1)),flip(a)]. 345 L(1,x,y) = 1. [hyper(306,a,102,a),flip(a)]. 348 R(1,x,y) = 1. [hyper(296,a,108,a),flip(a)]. 351 (x * y) / y = R(x,1,y). [para(13(a,1),109(a,1,1,1))]. 352 R(x,1,y) = x. [hyper(295,a,351,a),flip(a)]. 355 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(196,a,25,a(flip)),flip(a)]. 356 L(x \ 1,x,1 / x) = 1 / x. [hyper(285,a,162,a(flip),b,203,a),flip(a)]. 357 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(285,a,154,a(flip),b,203,a),flip(a)]. 358 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(64,a,203,a)]. 359 x / L(y \ 1,y,x) = x * y. [hyper(185,a,203,a(flip))]. 360 (x * y) * L(y \ 1,y,x) = x. [hyper(138,a,203,a(flip))]. 361 L(x \ 1,x,y / x) = y \ (y / x). [para(17(a,1),203(a,2,1))]. 362 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(203(a,1),30(a,2,1)),flip(a)]. 363 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(203(a,1),34(a,1,1))]. 364 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(203(a,1),35(a,1,1)),flip(a)]. 365 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(60,a,205,a)]. 366 R(1 / x,x,x \ 1) = x \ 1. [hyper(196,a,205,a(flip))]. 367 R(1 / x,x,y) \ y = x * y. [hyper(180,a,205,a(flip))]. 368 R(1 / x,x,x \ y) = (x \ y) / y. [para(15(a,1),205(a,2,2))]. 369 R(1 / (x / y),x / y,y) = y / x. [para(17(a,1),205(a,2,2))]. 370 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(205(a,1),32(a,2,1)),flip(a)]. 371 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(205(a,1),36(a,1,1)),flip(a)]. 375 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(14(a,2),225(a,2)),flip(a)]. 376 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(28(a,1),227(a,1,2))]. 379 (x / y) * y != z * u | x / u = z. [para(157(a,2),235(a,1))]. 380 x * (y * (y \ 1)) != z * u | z \ x = u. [para(15(a,2),239(a,1,2))]. 381 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),239(a,1))]. 382 (x * y) / z != K(x,y) | T(y * x,K(x,y)) = z. [para(96(a,1),250(a,1,1))]. 383 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(28(a,1),263(a,1,2))]. 384 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(30(a,2),263(a,1,2))]. 385 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(32(a,2),263(a,1,2))]. 386 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(116(a,1),308(a,1,2))]. 388 x / y != x * z | L(z \ 1,z,x) = y. [para(359(a,1),48(a,1)),flip(a)]. 389 x / L(y,1 / y,x) = x * (1 / y). [para(90(a,1),359(a,1,2,1))]. 390 (x * y) * z != x | L(y \ 1,y,x) = z. [para(359(a,1),130(a,1,1))]. 391 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(359(a,1),307(a,1,1)),flip(b)]. 392 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),317(a,1,1,1))]. 393 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(360(a,1),23(a,2,2,2))]. 394 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(87(a,1),367(a,1,1,1))]. 395 x / (y * x) != z | R(1 / y,y,x) = z. [para(367(a,1),297(a,1,2)),flip(b)]. 396 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(14(a,1),97(a,2,1)),flip(a)]. 397 K(x \ 1,x) != y | (x \ 1) * x = y. [para(97(a,1),163(a,1)),flip(b)]. 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(116(a,2),97(a,1,2))]. 399 x * K(y \ x,y) != z | (y \ x) * y = z. [para(97(a,1),240(a,1,2)),flip(b)]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(243(a,2),98(a,1,1))]. 402 K(x,1 / x) != y | x * (1 / x) = y. [para(99(a,1),163(a,1)),flip(b)]. 403 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(122,a,23,a,b,162,a(flip))]. 404 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(122,a,23,a,b,161,a(flip))]. 406 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(123,a,203,a,b,12,a)]. 407 R(x,1 / y,y) / y = x * (1 / y). [hyper(123,a,25,a,b,166,a(flip))]. 408 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(123,a,203,a(flip),b,12,a)]. 409 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(124,a,117,a,b,90,a)]. 410 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(124,a,35,a,b,23,a(flip))]. 411 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(124,a,34,a,b,23,a(flip))]. 412 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(124,a,23,a,b,154,a(flip))]. 413 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(124,a,30,a(flip),b,23,a(flip))]. 414 x * T(x \ (y * x),z) = T(y,z) * x. [para(27(a,1),221(a,1,2,1))]. 415 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(28(a,1),221(a,1,2,1))]. 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(170(a,1),221(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(118(a,1),221(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(208(a,1),221(a,1,2,1)),flip(a)]. 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(117(a,1),221(a,1,2,1))]. 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(254,a,231,a)]. 421 T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). [para(231(a,1),28(a,1,1)),flip(a)]. 423 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(231(a,1),263(a,1,2))]. 424 T(T(x / y,z),u) * y = y * T(T(y \ x,z),u). [para(231(a,1),221(a,1,2,1)),flip(a)]. 425 (x * T(y,z)) / x = T((x * y) / x,z). [para(208(a,1),252(a,1,1,2,1))]. 426 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(253(a,1),52(a,2)),flip(b)]. 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(253(a,1),227(a,1,2))]. 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(253(a,1),298(a,1,1,2)),flip(b)]. 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),23(a,2,2,2)),flip(a)]. 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),304(a,1,2)),flip(b)]. 433 x * K(y,x / y) != y * z | x / y = z. [para(272(a,2),46(a,1))]. 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),304(a,1,2)),flip(b)]. 436 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(185,a,401,a)]. 437 (x * y) / L(z \ y,z,x) = x * z. [hyper(123,a,152,a(flip),b,103,a)]. 438 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(123,a,17,a(flip),b,103,a)]. 439 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(66,a,150,a(flip),b,103,a)]. 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),23(a,2,1)),flip(a)]. 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),23(a,2,2,2)),flip(a)]. 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(103(a,1),25(a,2,1,1)),flip(a)]. 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(103(a,1),25(a,2,1)),flip(a)]. 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),46(a,1)),flip(a)]. 446 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(116(a,1),103(a,1,1))]. 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),304(a,1,2)),flip(b)]. 448 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(243(a,2),103(a,1,1))]. 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),193(a,1))]. 450 L(x \ T(y * x,y),x,y) = y. [hyper(285,a,210,a(flip),b,105,a),flip(a)]. 451 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(285,a,162,a(flip),b,105,a),flip(a)]. 452 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(285,a,161,a(flip),b,105,a),flip(a)]. 453 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(285,a,154,a(flip),b,105,a),flip(a)]. 454 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(17(a,1),105(a,2,1))]. 455 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(17(a,1),105(a,2,2))]. 456 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(19(a,2),105(a,1,1)),flip(a)]. 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(116(a,1),105(a,2,1))]. 458 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(116(a,1),105(a,2,2))]. 459 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 460 (R(x,y,z) * (y * z)) / z = x * y. [hyper(123,a,112,a,b,xx)]. 461 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(122,a,286,a(flip),b,112,a)]. 462 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(122,a,151,a(flip),b,112,a)]. 463 R(x / y,y,z) \ (x * z) = y * z. [hyper(122,a,150,a(flip),b,112,a)]. 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,82,a(flip),b,112,a(flip))]. 465 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(122,a,82,a(flip),b,112,a(flip))]. 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(122,a,112,a(flip),b,103,a)]. 467 R(x,y / z,z) * y = (x * (y / z)) * z. [para(17(a,1),112(a,1,2))]. 468 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(112(a,1),19(a,2,1)),flip(a)]. 469 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(112(a,1),25(a,2,1,1)),flip(a)]. 470 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(112(a,1),25(a,2,2)),flip(a)]. 471 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(32(a,1),112(a,1,1))]. 472 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(34(a,1),112(a,1,1))]. 473 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(36(a,1),112(a,1,1))]. 474 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(112(a,2),46(a,2)),flip(a)]. 475 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(112(a,1),47(a,1))]. 476 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(116(a,1),112(a,1,2))]. 477 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(112(a,1),96(a,1,1))]. 478 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(96(a,1),112(a,1,2))]. 479 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(112(a,1),294(a,1,1)),flip(b)]. 480 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(112(a,2),294(a,1,1)),flip(b)]. 481 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(243(a,2),112(a,1,2))]. 482 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(112(a,1),195(a,1)),flip(b)]. 484 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(112(a,1),103(a,1,1))]. 485 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(112(a,1),112(a,1,2))]. 486 R(x / (1 / y),1 / y,y) = x * y. [hyper(285,a,166,a(flip),b,113,a),flip(a)]. 487 R((x / y) / z,z,y) = x / (z * y). [hyper(285,a,153,a(flip),b,113,a),flip(a)]. 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(196,a,113,a(flip))]. 489 R(x / (y / z),y / z,z) = (x * z) / y. [para(17(a,1),113(a,2,2))]. 490 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(113(a,1),32(a,2,1)),flip(a)]. 491 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(229(a,1),113(a,2,2))]. 492 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(113(a,2),196(a,1)),flip(b)]. 493 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(112(a,1),113(a,2,1))]. 494 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(112(a,1),113(a,2,2))]. 495 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(113(a,2),113(a,1,1))]. 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(96(a,1),176(a,1,2,1))]. 498 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),176(a,1,2,1))]. 499 (x * y) / L(z,y / z,x) = x * (y / z). [para(17(a,1),178(a,1,1,2))]. 501 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(116(a,1),178(a,1,1,2))]. 502 R(x,x \ 1,(x \ 1) \ y) = ((x \ 1) \ y) / y. [para(15(a,1),200(a,2,2))]. 503 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(122,a,35,a,b,242,a)]. 504 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(122,a,30,a(flip),b,242,a)]. 505 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(242(a,1),46(a,1))]. 506 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(122,a,35,a,b,244,a)]. 507 L(x,y / x,1 / (y / x)) = (1 / (y / x)) * y. [para(17(a,1),244(a,1,2)),flip(a)]. 508 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(123,a,34,a(flip),b,247,a)]. 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),30(a,2,1))]. 513 (x * (x \ y)) * z != u | y * z = u. [para(87(a,1),293(a,1,1,1))]. 515 1 * x != y * z | y \ x = z. [para(85(a,1),299(a,1,1))]. 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(179(a,1),299(a,1,1))]. 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(155(a,1),299(a,1,1))]. 519 (x * (x \ 1)) * y != z * u | z \ y = u. [para(15(a,2),515(a,1,1))]. 525 ((1 / x) * x) * y != z * u | y / u = z. [para(162(a,1),300(a,1,2))]. 526 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(158(a,1),300(a,1,2))]. 533 x \ y != z * T(u,z) | x * (u * z) = y. [para(27(a,2),302(a,2,2))]. 534 x \ y != (z / u) * u | x * z = y. [para(90(a,1),302(a,2,2))]. 535 x \ (x * y) != z \ u | z * y = u. [para(158(a,2),302(a,2)),flip(a)]. 539 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(242(a,1),303(a,1))]. 542 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(123,a,34,a(flip),b,355,a)]. 543 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(122,a,355,a(flip),b,116,a)]. 544 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(117(a,2),355(a,1,2))]. 545 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(112(a,1),355(a,1,1)),flip(a)]. 546 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(357(a,1),169(a,1,2))]. 547 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(361(a,1),30(a,2,1)),flip(a)]. 548 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(368(a,1),32(a,2,1)),flip(a)]. 549 (((x / y) / z) * z) * y != u * w | x / w = u. [para(17(a,2),379(a,1,1))]. 550 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(155(a,1),379(a,1,1))]. 551 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(15(a,2),381(a,1,2))]. 552 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),381(a,1,2))]. 554 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(389(a,1),48(a,1)),flip(a)]. 555 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(394(a,1),51(a,1)),flip(a)]. 556 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(404(a,1),240(a,1,2)),flip(b)]. 560 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(407(a,1),236(a,1,1)),flip(b)]. 561 x / L(y \ z,y,x / z) = (x / z) * y. [hyper(66,a,153,a(flip),b,437,a)]. 563 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(437(a,1),307(a,1,1)),flip(b)]. 564 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(451(a,1),30(a,2,1))]. 565 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(451(a,1),34(a,1,1)),flip(a)]. 566 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(452(a,1),30(a,2,1))]. 567 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(452(a,1),169(a,1,2))]. 570 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(116(a,1),463(a,1,2))]. 571 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(205(a,2),463(a,1,1,1))]. 572 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(486(a,1),32(a,2,1))]. 573 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),32(a,2,1))]. 574 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(488(a,1),34(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),36(a,1,1)),flip(a)]. 576 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),168(a,1,2))]. 577 T(x * (y \ 1),x / y) = x * (y \ 1). [hyper(57,a,576,a)]. 578 x \ y != (z / (u \ z)) * w | x * (u * w) = y. [para(173(a,1),534(a,2,1))]. 582 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(66,a,103,a(flip),b,222,a)]. 583 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(122,a,222,a(flip),b,103,a(flip))]. 584 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(222(a,1),19(a,2,1,2)),flip(a)]. 585 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(27(a,1),222(a,1,2,1))]. 586 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(32(a,2),222(a,1,2,1))]. 587 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(118(a,1),222(a,1,2,1)),flip(a)]. 588 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(208(a,1),222(a,1,2,1)),flip(a)]. 589 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(122,a,112,a(flip),b,223,a)]. 591 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(28(a,1),223(a,1,2,1))]. 592 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(223(a,1),46(a,1))]. 593 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(118(a,1),223(a,1,2,1)),flip(a)]. 594 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(208(a,1),223(a,1,2,1)),flip(a)]. 595 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(117(a,1),223(a,1,2,1))]. 596 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(230(a,1),223(a,1,2,1)),flip(a)]. 597 T(x / y,(z / y) \ z) = y \ x. [hyper(224,a,319,a,b,317,a)]. 598 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(224,a,103,a(flip),b,150,a(flip))]. 599 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(254,a,232,a)]. 600 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(254,a,233,a)]. 601 T(x / (y * x),y) = R(y \ 1,y,x). [para(205(a,1),233(a,1,1))]. 602 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(366(a,1),233(a,1,1)),flip(a)]. 603 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(113(a,1),233(a,1,1))]. 604 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(369(a,1),233(a,1,1)),flip(a)]. 605 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(487(a,1),233(a,1,1)),flip(a)]. 606 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),233(a,1,1)),flip(a)]. 607 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(124,a,601,a(flip),b,27,a(flip)),flip(a)]. 608 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(601(a,1),263(a,1,2))]. 609 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(278(a,1),50(a,1))]. 610 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(278(a,2),249(a,1,2,2))]. 611 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(295,a,279,a),flip(a)]. 612 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(279(a,1),136(a,1))]. 614 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(263,a,281,a),flip(a)]. 615 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(224,a,281,a,b,116,a)]. 616 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(122,a,281,a,b,xx)]. 617 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(281(a,2),21(a,2,1)),flip(a)]. 618 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(281(a,2),310(a,1,1))]. 619 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(282(a,1),263(a,1,2))]. 620 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(282(a,1),221(a,1,2,1))]. 621 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(17(a,1),391(a,1,1))]. 622 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(116(a,1),395(a,1,2))]. 623 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(245(a,2),395(a,1,2))]. 624 K(x \ (x * y),x) = K(y,x). [hyper(285,a,97,a(flip),b,396,a)]. 625 K(x \ (x * y),z) = K(y,z). [para(80(a,1),624(a,1,1)),flip(a)]. 626 K((x / y) \ x,z) = K(y,z). [para(17(a,1),625(a,1,1,2))]. 627 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(409(a,1),294(a,1,1)),flip(b)]. 628 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(66,a,281,a(flip),b,418,a)]. 629 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),236(a,1,1)),flip(b)]. 630 T(x / y,y) != z | y \ x = z. [para(420(a,1),298(a,1)),flip(b)]. 632 T(x,x \ y) != z | (x \ y) \ y = z. [para(87(a,1),630(a,1,1))]. 633 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(179(a,1),630(a,1,1))]. 634 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(249(a,1),630(a,1,1))]. 635 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(117(a,2),632(a,1,2))]. 636 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(98(a,1),632(a,1,2))]. 637 T((x * y) / x,L(y,z,u)) = (x * y) / x. [para(169(a,1),425(a,1,1,2)),flip(a)]. 638 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(118(a,1),425(a,1,1,2)),flip(a)]. 639 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(425(a,1),236(a,1,1)),flip(b)]. 640 T(x * y,(x \ 1) \ y) = x * y. [hyper(57,a,567,a)]. 641 T(x * ((y \ x) \ 1),y) = x * ((y \ x) \ 1). [para(87(a,1),577(a,1,2))]. 642 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(616(a,1),240(a,1,2)),flip(b)]. 644 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(15(a,1),93(a,1,1,2))]. 645 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(17(a,1),93(a,1,1,2))]. 646 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(116(a,1),93(a,1,1,2))]. 647 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(93(a,1),304(a,1,2)),flip(b)]. 648 (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. [para(93(a,1),535(a,1,2))]. 649 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(124,a,35,a,b,104,a)]. 650 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(116(a,1),104(a,1,2,2)),flip(a)]. 651 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(124,a,35,a,b,106,a)]. 652 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),163(a,1)),flip(b)]. 653 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(106(a,1),240(a,1,2)),flip(b)]. 654 L(x,y / x,z / y) = ((z / y) * (y / x)) \ z. [para(17(a,1),107(a,2,2))]. 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),269(a,1,1))]. 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(110(a,2),289(a,1,1))]. 657 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(355(a,1),202(a,1,2))]. 658 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(138,a,657,a)]. 659 x \ y != z * a(z,u,u \ 1) | x * R(z,u,u \ 1) = y. [para(657(a,1),302(a,2,2))]. 661 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(247(a,1),206(a,1,2))]. 662 L(T(x,y),y,x) = T(x,x * y). [hyper(308,a,216,a),flip(a)]. 663 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(112(a,1),216(a,1,2))]. 664 T(L(x,y,x),y) = T(x,x * y). [hyper(66,a,30,a(flip),b,662,a)]. 665 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(662(a,1),30(a,2,1))]. 666 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(662(a,1),34(a,1,1)),flip(a)]. 667 x * T(y,y * x) = L(y,x,y) * x. [para(662(a,1),222(a,1,2))]. 668 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(662(a,2),223(a,1,2,1))]. 669 (x * T(y,y * x)) / x = L(y,x,y). [hyper(254,a,664,a)]. 670 T((x * y) / x,y * x) = L(y,x,y). [hyper(43,a,253,a,b,664,a)]. 671 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(664(a,1),222(a,1,2,1))]. 672 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(15(a,1),667(a,1,2,2)),flip(a)]. 674 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(116(a,1),667(a,1,2,2)),flip(a)]. 676 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(15(a,1),670(a,1,2))]. 677 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(670(a,1),28(a,1,1)),flip(a)]. 678 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(274(a,1),417(a,1,1,1)),flip(a)]. 679 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(66,a,223,a,b,335,a)]. 680 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(122,a,335,a(flip),b,223,a)]. 681 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(14(a,1),335(a,1,1,3))]. 682 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(34(a,1),335(a,1,1))]. 683 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(285,a,27,a,b,358,a),flip(a)]. 684 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(124,a,362,a,b,23,a(flip))]. 685 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(241,a,365,a),flip(a)]. 686 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(630,a,370,a),flip(a)]. 687 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(117(a,1),376(a,1,2))]. 688 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(27(a,1),383(a,1,2,1))]. 689 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(392(a,1),304(a,1,2)),flip(b)]. 690 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(412(a,1),46(a,1))]. 691 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(412(a,1),304(a,1,2)),flip(b)]. 692 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(116(a,2),431(a,1,2))]. 693 L(x \ y,x,y / x) = T(y / x,y). [hyper(224,a,152,a(flip),b,439,a),flip(a)]. 695 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(453(a,1),30(a,2,1))]. 696 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(453(a,1),34(a,1,1)),flip(a)]. 697 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(455(a,1),30(a,2,1)),flip(a)]. 698 K(x,y) = L(x \ T(x,y),x,y). [hyper(285,a,21,a,b,458,a)]. 699 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(458(a,1),30(a,2,1))]. 700 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(462(a,1),297(a,1,2)),flip(b)]. 701 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(467(a,1),47(a,1))]. 702 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(489(a,1),32(a,2,1))]. 703 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(489(a,1),36(a,1,1)),flip(a)]. 704 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(205(a,2),489(a,1,1,2))]. 705 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(205(a,2),489(a,1,2))]. 706 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(489(a,1),233(a,1,1)),flip(a)]. 707 x / L(y,z / y,x / z) = (x / z) * (z / y). [hyper(66,a,153,a(flip),b,499,a)]. 708 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(499(a,1),118(a,1,1))]. 709 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(501(a,1),307(a,1,1)),flip(b)]. 713 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(14(a,1),603(a,2,1)),flip(a)]. 714 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(15(a,1),603(a,1,1,2))]. 715 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(603(a,1),231(a,1,1))]. 716 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(605(a,1),335(a,1,1)),flip(a)]. 717 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(66,a,355,a,b,606,a)]. 718 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(14(a,1),606(a,1,1)),flip(a)]. 719 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(17(a,1),607(a,1,1,2)),flip(a)]. 721 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(607(a,1),310(a,1,1))]. 722 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(124,a,665,a(flip),b,23,a(flip))]. 723 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(15(a,1),685(a,1,1,2))]. 724 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [hyper(124,a,713,a,b,27,a(flip)),flip(a)]. 725 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(166(a,1),713(a,2,1)),flip(a)]. 726 T(R(x,y,x),y * x) = T(x,y). [para(713(a,2),253(a,1,1))]. 727 R(T(x,y * x),y,x) = T(x,y). [hyper(66,a,32,a,b,726,a)]. 728 T(x,y * z) != T(z,y) | R(z,y,z) = x. [para(726(a,1),52(a,1)),flip(a)]. 729 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(726(a,1),223(a,1,2,1)),flip(a)]. 730 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(43,a,713,a(flip),b,727,a(flip))]. 731 R(T(x,y),y / x,x) = T(x,y / x). [para(17(a,1),727(a,1,1,2))]. 733 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(727(a,1),112(a,1,1)),flip(a)]. 734 R(x,1 / x,x) = T(x,1 / x). [para(186(a,1),731(a,1,1))]. 735 T(x,1 / x) / x = x * (1 / x). [hyper(123,a,734,a(flip),b,247,a)]. 736 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(734(a,1),36(a,1,1)),flip(a)]. 737 T(x,1 / x) / x = K(x,1 / x). [hyper(285,a,245,a,b,735,a),flip(a)]. 738 T(x * T(y,x * y),y) = x * y. [hyper(250,a,730,a)]. 739 (x * T(y,x * y)) * y = y * (x * y). [hyper(136,a,730,a),flip(a)]. 740 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(285,a,17,a(flip),b,738,a),flip(a)]. 741 (x * (y * x)) / x = y * T(x,y * x). [hyper(254,a,738,a)]. 743 T((x / y) * T(y,x),y) = x. [para(17(a,1),740(a,1,1,2,2))]. 744 (x / y) * T(y,x) = (y * x) / y. [hyper(254,a,743,a),flip(a)]. 745 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(315,a,744,a),flip(a)]. 746 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(224,a,744,a,b,15,a),flip(a)]. 747 ((x * y) / x) / T(x,y) = y / x. [hyper(135,a,744,a)]. 748 T(x,y) = (y / x) \ ((x * y) / x). [hyper(128,a,744,a),flip(a)]. 750 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),744(a,1,1)),flip(a)]. 751 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(389(a,1),744(a,1,1)),flip(a)]. 752 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(285,a,16,a(flip),b,747,a),flip(a)]. 753 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(39,a,173,a(flip),b,747,a)]. 754 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(752(a,1),299(a,1,1))]. 755 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(752(a,1),379(a,1,1))]. 756 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(254,a,718,a)]. 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(285,a,32,a,b,119,a)]. 760 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(36(a,1),262(a,1,1))]. 761 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(116(a,1),262(a,1,2))]. 762 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(30(a,1),265(a,1,2))]. 763 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(34(a,2),265(a,1,2))]. 764 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(243(a,2),265(a,1,1))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(96(a,1),445(a,1,1)),flip(a)]. 767 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(116(a,1),447(a,1,1))]. 768 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(84(a,1),447(a,1,2))]. 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. 770 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(93(a,1),447(a,1,2,2))]. 771 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(116(a,1),449(a,1,2))]. 774 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(223(a,1),479(a,1,2))]. 776 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(243(a,2),556(a,1,2))]. 778 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(357(a,1),587(a,2,2))]. 779 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(135,a,588,a),flip(a)]. 780 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(123,a,103,a(flip),b,588,a),flip(a)]. 781 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(593(a,1),355(a,1,1))]. 782 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(274(a,1),593(a,1,1,1)),flip(a)]. 783 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(135,a,594,a),flip(a)]. 784 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(128,a,594,a)]. 785 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(123,a,594,a(flip),b,335,a(flip))]. 786 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(123,a,594,a(flip),b,112,a(flip))]. 787 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(599(a,1),236(a,1,1)),flip(b)]. 788 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(203(a,1),599(a,1,1,2))]. 789 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),599(a,1,1,2)),flip(a)]. 790 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(357(a,1),599(a,1,1,2))]. 791 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(452(a,1),599(a,1,1,2))]. 792 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(698(a,2),599(a,1,1,2)),flip(a)]. 794 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(23(a,2),600(a,1,1,2,1))]. 795 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(90(a,1),600(a,1,1,2,1))]. 796 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(600(a,1),236(a,1,1)),flip(b)]. 797 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(254,a,638,a)]. 798 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [hyper(124,a,638,a(flip),b,27,a(flip)),flip(a)]. 800 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(638(a,1),263(a,1,2))]. 801 T(x,y * ((x \ y) \ 1)) = x. [hyper(57,a,641,a)]. 802 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(271(a,2),717(a,1,1))]. 805 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(118(a,1),757(a,1,1,1)),flip(a)]. 806 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(124,a,779,a(flip),b,23,a(flip))]. 807 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(361(a,1),779(a,2,1,2))]. 808 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(451(a,1),779(a,2,1,2))]. 809 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(452(a,1),779(a,2,1,2))]. 810 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(453(a,1),779(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(486(a,1),783(a,2,1,2))]. 813 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(487(a,1),783(a,2,1,2))]. 814 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),783(a,2,1,2))]. 815 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(783(a,1),262(a,1,1))]. 816 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(124,a,35,a,b,215,a)]. 817 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(66,a,425,a(flip),b,219,a)]. 818 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(246(a,1),465(a,1,1))]. 819 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(124,a,363,a,b,215,a)]. 820 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(124,a,363,a,b,23,a(flip))]. 821 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(602(a,1),363(a,2,1))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(285,a,105,a(flip),b,364,a),flip(a)]. 823 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(124,a,364,a(flip),b,23,a(flip))]. 824 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(356(a,1),364(a,1,1)),flip(a)]. 826 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(652,a,824,a)]. 827 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(15(a,1),824(a,1,1,1))]. 828 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(230(a,1),385(a,1,2,1))]. 829 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),413(a,1,2,1))]. 830 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),413(a,1,2,1))]. 831 (x * y) * T(T((x * y) \ x,z),u) = x * (y * T(T(y \ 1,z),u)). [para(362(a,2),413(a,1,2,1))]. 833 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(457(a,1),30(a,2,1))]. 834 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),34(a,1,1)),flip(a)]. 835 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(457(a,1),35(a,1,1)),flip(a)]. 836 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(113(a,1),471(a,1,1,1))]. 837 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(630,a,490,a),flip(a)]. 838 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(452(a,1),504(a,1,2,1)),flip(a)]. 839 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),265(a,1,2))]. 841 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(124,a,547,a,b,106,a),flip(a)]. 842 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(548(a,2),335(a,1,1))]. 845 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(122,a,564,a(flip),b,244,a)]. 846 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(362(a,1),564(a,1,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(179(a,1),570(a,1,1,1))]. 848 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(123,a,572,a(flip),b,247,a),flip(a)]. 849 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(123,a,573,a(flip),b,355,a)]. 850 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(203(a,1),582(a,2,1)),flip(a)]. 851 T(x,y) = (y * x) \ ((x * y) * x). [hyper(285,a,727,a(flip),b,589,a)]. 852 (x * y) * T(y,x) = (y * x) * y. [hyper(124,a,727,a(flip),b,589,a)]. 853 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(116(a,1),589(a,1,2,1)),flip(a)]. 854 R(T(x,y * L(z,y,x)),y,L(z,y,x)) = (y * L(z,y,x)) \ (x * (y * z)). [para(103(a,1),589(a,1,2)),flip(a)]. 855 ((x \ 1) * x) \ x = T(x,x \ 1). [para(81(a,1),851(a,2,2)),flip(a)]. 857 (x * (y / x)) * x = y * T(x,y / x). [hyper(293,a,852,a),flip(a)]. 858 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(122,a,852,a(flip),b,96,a)]. 859 K(x \ 1,x) \ x = T(x,x \ 1). [para(243(a,2),855(a,1,1))]. 860 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(124,a,117,a(flip),b,859,a)]. 861 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(335(a,1),592(a,1))]. 862 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(598(a,1),418(a,1,1))]. 863 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(87(a,1),629(a,1,1,1))]. 865 ((1 / x) * (x / y)) * y = a(1 / x,x / y,y). [hyper(193,a,645,a),flip(a)]. 867 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(285,a,30,a,b,677,a),flip(a)]. 868 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(122,a,150,a(flip),b,679,a),flip(a)]. 869 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(681(a,1),47(a,1))]. 870 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(214(a,1),789(a,2,1,2))]. 871 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(862(a,1),47(a,1))]. 873 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(116(a,1),647(a,1,1,2))]. 875 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(14(a,1),797(a,1,1,2,1,2))]. 876 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(797(a,1),236(a,1,1)),flip(b)]. 877 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(66,a,464,a,b,798,a)]. 878 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(87(a,1),798(a,1,1,1,2)),flip(a)]. 879 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(113(a,2),798(a,1,1,1,2))]. 880 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(113(a,1),805(a,1,1,1))]. 881 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(688,a,838,a),flip(a)]. 882 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(263,a,838,a),flip(a)]. 883 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(13(a,1),838(a,2,2,1))]. 884 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(15(a,1),838(a,2,2,1))]. 885 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(838(a,1),263(a,1))]. 886 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(66,a,419,a(flip),b,883,a)]. 888 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(886(a,1),310(a,1,2))]. 889 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(886(a,1),215(a,1,2,2))]. 890 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(533,a,845,a)]. 891 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(13(a,1),845(a,1,2,1))]. 892 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(15(a,1),845(a,1,2,1)),flip(a)]. 894 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(891(a,1),698(a,2,1)),flip(a)]. 895 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(90(a,1),894(a,1,1,2,1))]. 896 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(639,a,848,a),flip(a)]. 897 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(629,a,848,a)]. 898 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(12(a,1),848(a,2,1,1))]. 899 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(118(a,1),848(a,1,1)),flip(a)]. 900 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(848(a,1),629(a,1))]. 901 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(629,a,898,a)]. 902 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(898(a,1),629(a,1))]. 903 (1 / x) * T(x,y) = T(x,y) / x. [para(90(a,1),901(a,1,2,1))]. 904 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(901(a,1),894(a,1,1))]. 905 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(315,a,903,a),flip(a)]. 906 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(224,a,903,a,b,15,a),flip(a)]. 907 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(135,a,903,a)]. 908 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(66,a,280,a(flip),b,903,a),flip(a)]. 909 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(903(a,1),21(a,2,1)),flip(a)]. 910 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(903(a,1),315(a,1))]. 911 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(903(a,1),670(a,1,2))]. 912 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(621,a,906,a)]. 913 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(117(a,1),908(a,1,1)),flip(a)]. 914 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(285,a,417,a(flip),b,849,a),flip(a)]. 915 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(15(a,1),882(a,1,2,1)),flip(a)]. 917 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(123,a,884,a(flip),b,417,a)]. 918 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(123,a,884,a(flip),b,116,a(flip))]. 919 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(263,a,892,a)]. 920 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(892(a,1),398(a,1,2))]. 921 (1 / x) \ T((y \ (1 / x)) * y,x) = (x \ K(y \ (1 / x),y)) * x. [para(97(a,1),919(a,1,1,2)),flip(a)]. 923 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(17(a,1),899(a,1,1,1)),flip(a)]. 924 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(285,a,838,a(flip),b,914,a),flip(a)]. 925 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(136,a,914,a)]. 926 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(17(a,1),914(a,1,1,1)),flip(a)]. 927 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(32(a,2),918(a,1,1,2))]. 929 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(923(a,1),98(a,1,1)),flip(a)]. 930 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(14(a,1),925(a,1,1,2,1)),flip(a)]. 931 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(263,a,926,a)]. 932 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(115(a,1),930(a,2,1,2))]. 933 K((x * y) * (x \ 1),y) = 1. [hyper(58,a,932,a)]. 934 K(((1 / x) * y) * x,y) = 1. [para(90(a,1),933(a,1,1,2))]. 935 K(x * y,(1 / y) \ x) = 1. [para(15(a,1),934(a,1,1,1))]. 936 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(903(a,1),331(a,1,2,2))]. 937 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),410(a,1,2,1))]. 938 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),410(a,1,2,1))]. 939 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(662(a,1),410(a,1,2,1))]. 940 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),411(a,1,2,1))]. 941 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),411(a,1,2,1))]. 942 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,448,a),flip(a)]. 943 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(122,a,472,a(flip),b,582,a)]. 944 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(487(a,1),472(a,1,1,1)),flip(a)]. 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(113(a,1),473(a,1,1,1))]. 946 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(886(a,1),497(a,1,1,1))]. 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(452(a,1),503(a,1,2,1)),flip(a)]. 949 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(356(a,1),506(a,1,2,1))]. 950 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(451(a,1),506(a,1,2,1))]. 951 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(734(a,1),508(a,1,1,1))]. 952 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(30(a,1),951(a,1,1))]. 953 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(38,a,923,a,b,952,a(flip))]. 954 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(185,a,953,a)]. 955 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(138,a,953,a)]. 957 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(40,a,173,a,b,954,a),flip(a)]. 958 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(955(a,1),105(a,2,1))]. 959 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(955(a,1),670(a,1,2))]. 961 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(203(a,1),957(a,2,2))]. 962 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(180,a,961,a)]. 963 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(136,a,961,a)]. 964 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(15(a,1),962(a,1,1,2,1))]. 966 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(963(a,1),21(a,2,1)),flip(a)]. 968 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),542(a,1,1,1))]. 969 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(652,a,565,a)]. 970 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(821(a,1),565(a,1,1))]. 971 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [hyper(66,a,650,a(flip),b,695,a)]. 972 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(124,a,695,a(flip),b,104,a),flip(a)]. 973 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(695(a,1),30(a,2,1))]. 974 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(702(a,1),467(a,1,1)),flip(a)]. 975 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [hyper(66,a,32,a,b,715,a)]. 976 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(785(a,1),118(a,1,1)),flip(a)]. 977 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(368(a,1),785(a,1,1,2))]. 978 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(904(a,1),587(a,1,1)),flip(a)]. 979 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(942(a,1),46(a,1)),flip(a)]. 980 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(12(a,1),975(a,2,1,2))]. 981 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(14(a,1),975(a,1,1,1)),flip(a)]. 985 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(666(a,1),586(a,1,2))]. 986 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(37,a,223,a,b,595,a)]. 988 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(122,a,986,a,b,15,a)]. 989 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(122,a,986,a(flip),b,336,a),flip(a)]. 991 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(383,a,722,a),flip(a)]. 992 T(x,y) * (x * z) = x * (T(x,y) * z). [para(221(a,1),991(a,1,2)),flip(a)]. 993 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(552,a,992,a)]. 994 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(551,a,992,a),flip(a)]. 995 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(526,a,992,a)]. 996 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(303,a,992,a),flip(a)]. 997 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(285,a,152,a(flip),b,992,a),flip(a)]. 998 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(128,a,992,a)]. 999 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(122,a,152,a(flip),b,992,a)]. 1000 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(122,a,82,a(flip),b,992,a),flip(a)]. 1001 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(17(a,1),992(a,1,2)),flip(a)]. 1003 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(992(a,2),46(a,1))]. 1004 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(116(a,1),992(a,1,2)),flip(a)]. 1005 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),992(a,1,1)),flip(a)]. 1007 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(135,a,1000,a)]. 1008 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(128,a,1000,a)]. 1009 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(123,a,1000,a(flip),b,116,a)]. 1012 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1007(a,1),917(a,2,1))]. 1013 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(285,a,281,a(flip),b,993,a),flip(a)]. 1014 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),993(a,1,2))]. 1015 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(995(a,1),130(a,1,1)),flip(a)]. 1016 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(995(a,1),307(a,1,1)),flip(b)]. 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(224,a,116,a,b,997,a),flip(a)]. 1019 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(224,a,997,a,b,15,a)]. 1020 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(122,a,245,a,b,997,a)]. 1021 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(37,a,412,a,b,997,a),flip(a)]. 1022 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(37,a,272,a,b,997,a),flip(a)]. 1024 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(997(a,1),304(a,1,2)),flip(b)]. 1025 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(118(a,1),1018(a,1,2,1))]. 1026 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(224,a,733,a,b,1004,a)]. 1027 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(37,a,412,a,b,1004,a),flip(a)]. 1029 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(136,a,1012,a)]. 1030 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(118(a,1),1025(a,2,2))]. 1031 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(14(a,1),1030(a,1,2,1))]. 1032 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(118(a,1),1029(a,1,1)),flip(a)]. 1033 T(x,y) = ((x * y) / x) * (y \ x). [para(14(a,1),1031(a,2,2)),flip(a)]. 1034 T(x,y) / (y \ x) = (x * y) / x. [hyper(123,a,1033,a,b,xx)]. 1035 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(122,a,1033,a,b,116,a),flip(a)]. 1036 ((x * y) / x) \ T(x,y) = y \ x. [hyper(122,a,1033,a,b,xx)]. 1037 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(17(a,1),1033(a,2,1,1)),flip(a)]. 1038 ((x * (x / y)) / x) * y = T(x,x / y). [para(90(a,1),1033(a,2,2)),flip(a)]. 1039 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(367(a,1),1033(a,2,2)),flip(a)]. 1040 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(394(a,1),1033(a,2,2)),flip(a)]. 1041 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(14(a,1),1034(a,1,2)),flip(a)]. 1043 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(66,a,798,a(flip),b,1038,a)]. 1044 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(122,a,1038,a(flip),b,798,a(flip))]. 1045 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(90(a,1),1043(a,1,2,1,2))]. 1046 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(789(a,2),1043(a,1,2))]. 1048 T(x \ T(y,y / x),y) = x \ y. [para(1044(a,2),208(a,1,1))]. 1049 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1044(a,1),381(a,1,2))]. 1050 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(87(a,1),1048(a,1,1,2,2))]. 1051 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(285,a,117,a,b,1050,a),flip(a)]. 1052 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1035(a,1),867(a,1,1))]. 1053 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(123,a,208,a(flip),b,1037,a),flip(a)]. 1054 T(T(x * y,x) / y,x * y) = x. [para(1041(a,1),208(a,1,1))]. 1055 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1041(a,1),817(a,1,1))]. 1056 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(355(a,1),1054(a,1,1,1,1))]. 1057 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(630,a,1055,a)]. 1059 L(R(x,y,T(x,y)),y,x) = x. [para(1057(a,1),450(a,1,1))]. 1060 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(209(a,1),1045(a,1,2)),flip(a)]. 1062 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(245(a,2),1024(a,1,2))]. 1063 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(220(a,1),1024(a,1))]. 1064 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),1001(a,1,2))]. 1065 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(117(a,1),1013(a,1,2,1))]. 1067 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1014(a,1),1016(a,1))]. 1068 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(906(a,1),1022(a,1,2))]. 1071 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(122,a,1046,a(flip),b,103,a(flip))]. 1072 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(105(a,1),762(a,1,2,1))]. 1073 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(128,a,841,a)]. 1076 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(325(a,1),841(a,1,2))]. 1077 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(629,a,842,a),flip(a)]. 1078 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(909(a,1),105(a,1,1)),flip(a)]. 1079 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(32(a,2),943(a,2,2))]. 1080 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(13(a,1),947(a,2,2,1))]. 1081 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(268(a,1),947(a,1,2)),flip(a)]. 1082 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(138,a,950,a)]. 1084 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(285,a,587,a(flip),b,968,a),flip(a)]. 1085 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(13(a,1),969(a,2,1))]. 1086 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(128,a,1085,a)]. 1087 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(122,a,369,a(flip),b,1085,a),flip(a)]. 1088 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(37,a,658,a,b,1085,a),flip(a)]. 1089 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1085(a,1),304(a,1,2)),flip(b)]. 1090 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(607(a,2),1085(a,1,2))]. 1091 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(285,a,205,a(flip),b,1090,a),flip(a)]. 1092 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(123,a,368,a(flip),b,1090,a)]. 1093 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(224,a,1091,a,b,15,a),flip(a)]. 1095 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(285,a,798,a(flip),b,977,a),flip(a)]. 1096 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),1005(a,1,2,1))]. 1097 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(208(a,1),1005(a,1,2,1)),flip(a)]. 1098 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(230(a,1),1005(a,1,2,1)),flip(a)]. 1099 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(380,a,1096,a),flip(a)]. 1100 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(285,a,89,a(flip),b,1096,a),flip(a)]. 1101 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(122,a,82,a(flip),b,1096,a),flip(a)]. 1102 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(771,a,1100,a)]. 1103 (1 / x) * K(x \ 1,x) = x \ 1. [para(243(a,2),1100(a,1,2))]. 1104 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(128,a,1103,a)]. 1105 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1103(a,1),475(a,2,2))]. 1106 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1104(a,1),561(a,1,2,1))]. 1107 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1102(a,1),506(a,1,2,1))]. 1108 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(66,a,913,a(flip),b,1099,a)]. 1109 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1101(a,1),46(a,1))]. 1110 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(692,a,1073,a)]. 1111 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(122,a,398,a(flip),b,1073,a(flip))]. 1113 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(285,a,901,a(flip),b,1110,a),flip(a)]. 1114 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(285,a,883,a(flip),b,1110,a),flip(a)]. 1115 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(123,a,1110,a,b,417,a)]. 1116 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(906(a,1),1110(a,1,1))]. 1119 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1034(a,1),1111(a,1,2,1,2))]. 1120 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(136,a,1113,a(flip)),flip(a)]. 1121 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(601(a,1),1113(a,2,1))]. 1122 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(118(a,1),1114(a,2,2))]. 1123 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(208(a,1),1114(a,2,2))]. 1124 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(16(a,1),1115(a,1,1,1,2))]. 1126 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1077(a,1,1))]. 1127 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(122,a,1079,a,b,xx)]. 1128 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(90(a,1),1084(a,1,1,1,2))]. 1129 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(15(a,1),1092(a,1,2,1,2))]. 1130 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(180,a,1129,a)]. 1131 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(285,a,222,a(flip),b,1107,a),flip(a)]. 1132 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(124,a,222,a(flip),b,1107,a)]. 1133 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(357(a,1),1131(a,1,2)),flip(a)]. 1134 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(285,a,203,a(flip),b,1132,a)]. 1135 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(203(a,1),1134(a,2,2,1)),flip(a)]. 1136 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(128,a,1135,a)]. 1137 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1123(a,2),117(a,1,2))]. 1138 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1123(a,2),632(a,1,2))]. 1139 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1126(a,1),294(a,1,1)),flip(b)]. 1140 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(325(a,1),1126(a,1,1))]. 1141 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(883(a,1),1126(a,1,1))]. 1143 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(587(a,1),544(a,1,1))]. 1144 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(453(a,1),649(a,1,2,1)),flip(a)]. 1145 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(454(a,1),651(a,1,2,1)),flip(a)]. 1146 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(66,a,411,a(flip),b,668,a)]. 1147 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(223(a,1),1146(a,1,2)),flip(a)]. 1148 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(552,a,1147,a)]. 1149 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(526,a,1147,a)]. 1150 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(380,a,1147,a),flip(a)]. 1152 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1147,a)]. 1153 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1147,a),flip(a)]. 1154 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(116(a,1),1147(a,1,2)),flip(a)]. 1155 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1147(a,1),216(a,1,2))]. 1156 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(135,a,1150,a)]. 1157 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(128,a,1150,a)]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(66,a,595,a,b,1150,a)]. 1159 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(123,a,1150,a(flip),b,223,a)]. 1160 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1150(a,1),607(a,1,1,2)),flip(a)]. 1161 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),638(a,2,1))]. 1162 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [hyper(124,a,1153,a(flip),b,403,a),flip(a)]. 1163 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1153(a,1),881(a,1,2,1,2))]. 1165 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1157(a,1),1122(a,2,2))]. 1166 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(112(a,1),1148(a,1,2)),flip(a)]. 1167 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(135,a,1166,a),flip(a)]. 1168 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(224,a,112,a(flip),b,1154,a),flip(a)]. 1169 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(128,a,1168,a)]. 1170 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(368(a,1),682(a,1,1,1))]. 1171 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(124,a,696,a(flip),b,104,a),flip(a)]. 1172 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(122,a,696,a(flip),b,242,a),flip(a)]. 1173 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(703(a,1),467(a,1,1)),flip(a)]. 1174 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(66,a,473,a(flip),b,729,a),flip(a)]. 1176 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(780(a,2),49(a,1))]. 1177 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(203(a,1),806(a,1,2,1,2))]. 1178 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),806(a,1,2,1,2))]. 1179 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),806(a,1,2,1,2))]. 1180 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(124,a,807,a(flip),b,106,a),flip(a)]. 1181 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(122,a,808,a(flip),b,244,a)]. 1182 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(122,a,809,a(flip),b,242,a),flip(a)]. 1183 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(123,a,812,a(flip),b,247,a),flip(a)]. 1184 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(124,a,833,a(flip),b,215,a)]. 1185 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(993(a,1),870(a,1,1,1))]. 1186 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1038(a,1),876(a,1))]. 1187 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(17(a,1),885(a,1,2,1))]. 1188 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [hyper(122,a,895,a(flip),b,1082,a),flip(a)]. 1191 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(112(a,1),442(a,1,2))]. 1192 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(122,a,477,a(flip),b,112,a)]. 1193 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(620(a,1),412(a,2,2))]. 1194 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),763(a,1,2,1))]. 1196 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),820(a,1,1))]. 1198 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(639,a,836,a),flip(a)]. 1199 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(629,a,836,a)]. 1200 (x * T(y,z)) * y = (x * y) * T(y,z). [para(418(a,1),1198(a,1,1))]. 1201 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(550,a,1200,a)]. 1202 (1 / T(x,y)) * x = x / T(x,y). [hyper(525,a,1200,a),flip(a)]. 1203 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(293,a,1200,a),flip(a)]. 1204 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(285,a,150,a(flip),b,1200,a),flip(a)]. 1205 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(128,a,1200,a)]. 1206 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(123,a,150,a(flip),b,1200,a)]. 1207 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(549,a,1200,a(flip)),flip(a)]. 1209 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(116(a,1),1200(a,2,1))]. 1210 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(118(a,1),1200(a,1,1,2)),flip(a)]. 1211 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(128,a,1202,a)]. 1213 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1211(a,1),923(a,1,1)),flip(a)]. 1214 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1201(a,2),225(a,2)),flip(a)]. 1216 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1060(a,2),1203(a,1,1))]. 1218 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1205(a,1),981(a,1,1)),flip(a)]. 1220 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(667(a,1),1218(a,1,1,2))]. 1221 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1216(a,1),1004(a,1,2)),flip(a)]. 1222 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(135,a,1221,a),flip(a)]. 1223 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(66,a,1060,a(flip),b,1222,a),flip(a)]. 1224 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(221(a,1),1209(a,1,1))]. 1225 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(224,a,1224,a,b,116,a(flip))]. 1226 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(123,a,81,a(flip),b,1224,a)]. 1229 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(118(a,1),1210(a,1,2))]. 1230 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(208(a,1),1210(a,1,2)),flip(a)]. 1231 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(550,a,1229,a)]. 1232 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(525,a,1229,a),flip(a)]. 1233 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(123,a,150,a(flip),b,1229,a)]. 1234 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(224,a,1232,a,b,15,a),flip(a)]. 1235 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1232(a,1),225(a,2)),flip(a)]. 1236 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(285,a,886,a(flip),b,1226,a),flip(a)]. 1237 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1234(a,1),1113(a,1,1))]. 1238 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(384,a,939,a),flip(a)]. 1239 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(222(a,1),1238(a,1,2)),flip(a)]. 1240 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(552,a,1239,a)]. 1241 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(551,a,1239,a),flip(a)]. 1242 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(380,a,1239,a),flip(a)]. 1243 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(303,a,1239,a),flip(a)]. 1244 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(128,a,1239,a)]. 1245 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1239,a)]. 1246 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1239,a),flip(a)]. 1247 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(122,a,1239,a(flip),b,96,a)]. 1248 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1239(a,1),216(a,1,2))]. 1249 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(128,a,1242,a)]. 1250 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1242(a,1),607(a,1,1,2)),flip(a)]. 1251 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(827(a,1),1242(a,1,1)),flip(a)]. 1252 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1246(a,1),21(a,2,1)),flip(a)]. 1253 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1246(a,1),881(a,1,2,1,2))]. 1254 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1249(a,1,1))]. 1255 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(128,a,1241,a)]. 1259 (x * (y * z)) \ ((x * y) * ((((x * y) \ (x * (y * z))) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(19(a,2),971(a,2,1))]. 1260 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(128,a,972,a)]. 1261 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(13(a,1),972(a,2,2,1,2))]. 1262 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(128,a,1261,a),flip(a)]. 1263 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(122,a,116,a(flip),b,1261,a),flip(a)]. 1264 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(325(a,1),1261(a,1,2)),flip(a)]. 1265 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1110(a,2),1261(a,1,2)),flip(a)]. 1266 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(285,a,396,a,b,1263,a)]. 1267 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(122,a,396,a,b,1263,a),flip(a)]. 1268 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(122,a,1265,a,b,xx),flip(a)]. 1269 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(66,a,897,a(flip),b,1265,a)]. 1270 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(14(a,1),1265(a,1,2,1)),flip(a)]. 1271 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(21(a,2),1265(a,2,2,1,2,2))]. 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(23(a,2),1265(a,2,2,1,2,2))]. 1276 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(203(a,2),1267(a,1,1,1))]. 1277 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1267(a,2),689(a,1))]. 1278 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(16(a,1),1268(a,1,1,2))]. 1279 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(27(a,2),1268(a,1,1,2,2))]. 1280 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(90(a,1),1268(a,2,2,2,1))]. 1281 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [hyper(124,a,1276,a,b,358,a),flip(a)]. 1282 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1276(a,1),905(a,1,1))]. 1283 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(17(a,1),1269(a,1,1,1)),flip(a)]. 1284 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(406(a,1),1270(a,1,2,1,2))]. 1285 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(744(a,1),1280(a,2,2))]. 1286 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(12(a,1),974(a,2,1,1,1))]. 1287 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(417(a,1),974(a,1,1))]. 1288 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(285,a,417,a(flip),b,1286,a),flip(a)]. 1289 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1288(a,1,1))]. 1290 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(325(a,1),1289(a,1,1))]. 1291 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1110(a,2),1289(a,1,1))]. 1292 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(135,a,1291,a),flip(a)]. 1293 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(16(a,1),1292(a,1,1,2))]. 1294 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(25(a,2),1292(a,1,1,2,2))]. 1295 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1050(a,1),1292(a,2,1,2))]. 1296 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(285,a,414,a(flip),b,1290,a),flip(a)]. 1297 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(118(a,1),1032(a,1,2)),flip(a)]. 1298 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(87(a,1),1297(a,1,2,1,1)),flip(a)]. 1299 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(14(a,1),1097(a,1,1)),flip(a)]. 1300 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(552,a,1299,a)]. 1301 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(380,a,1299,a),flip(a)]. 1302 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(122,a,152,a(flip),b,1299,a)]. 1303 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(135,a,1301,a)]. 1304 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(66,a,878,a,b,1301,a)]. 1306 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(691,a,1300,a),flip(a)]. 1308 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(66,a,182,a(flip),b,1098,a),flip(a)]. 1310 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(380,a,1308,a),flip(a)]. 1312 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(285,a,89,a(flip),b,1308,a),flip(a)]. 1313 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(122,a,152,a(flip),b,1308,a)]. 1314 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1308(a,1),21(a,2,1)),flip(a)]. 1315 (1 / (1 / x)) * K(x,1 / x) = x. [para(245(a,2),1312(a,1,2))]. 1316 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(66,a,1232,a(flip),b,1310,a)]. 1317 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(787,a,1170,a),flip(a)]. 1318 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(78(a,1),1172(a,2,2,1))]. 1319 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(27(a,2),1318(a,1,2,1)),flip(a)]. 1320 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(123,a,1182,a(flip),b,798,a)]. 1321 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(66,a,1038,a(flip),b,1183,a),flip(a)]. 1322 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(12(a,1),1183(a,2,1,1,2))]. 1323 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(15(a,1),1321(a,1,1,1,2)),flip(a)]. 1324 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1321(a,1),487(a,1,1))]. 1325 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(285,a,1223,a(flip),b,1324,a),flip(a)]. 1326 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(876,a,1322,a)]. 1327 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(90(a,1),1326(a,1,2,1,2))]. 1328 x \ y != ((z * (u \ 1)) / z) / (u \ 1) | x * (u * ((z * (u \ 1)) / z)) = y. [para(1327(a,1),578(a,2))]. 1329 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1199(a,2,1))]. 1330 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(14(a,1),1230(a,1,1,2)),flip(a)]. 1331 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(550,a,1330,a)]. 1332 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(123,a,150,a(flip),b,1330,a)]. 1333 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1045(a,1),1330(a,1,1)),flip(a)]. 1334 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(931(a,1),1332(a,1,1,2,1)),flip(a)]. 1335 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(293,a,1333,a),flip(a)]. 1336 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1015,a,1335,a)]. 1338 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(135,a,1336,a)]. 1340 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(66,a,1323,a,b,1338,a)]. 1341 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(14(a,1),1340(a,1,2,2,2)),flip(a)]. 1342 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(210(a,1),1260(a,1,2,2,1)),flip(a)]. 1343 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(680(a,1),1260(a,1,2,2,1)),flip(a)]. 1344 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(124,a,1110,a(flip),b,1279,a(flip))]. 1345 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [hyper(122,a,1283,a(flip),b,1265,a),flip(a)]. 1346 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1211(a,1),1345(a,1,1)),flip(a)]. 1347 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(185,a,1346,a)]. 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1347(a,1),118(a,1,1)),flip(a)]. 1350 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),1115(a,1,1,1))]. 1351 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(285,a,417,a(flip),b,1287,a),flip(a)]. 1352 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(123,a,417,a(flip),b,1287,a)]. 1353 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(587(a,1),1317(a,1,1))]. 1354 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(66,a,830,a(flip),b,1329,a)]. 1355 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(66,a,684,a(flip),b,1329,a),flip(a)]. 1356 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(224,a,1329,a(flip),b,830,a(flip)),flip(a)]. 1357 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(12(a,1),1329(a,1,2,1,2))]. 1359 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(27(a,2),1356(a,1,2,1,2)),flip(a)]. 1360 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(122,a,1359,a,b,xx)]. 1361 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(326(a,1),1359(a,1,1,2,1)),flip(a)]. 1362 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(14(a,1),1360(a,1,2,1,2,1)),flip(a)]. 1363 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1360(a,1),240(a,1,2)),flip(b)]. 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(66,a,830,a(flip),b,1357,a)]. 1365 T(x,x * T(x \ 1,y)) = x. [hyper(224,a,684,a(flip),b,1357,a(flip))]. 1366 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1357(a,1),1279(a,2,2))]. 1367 T(x,(x \ 1) * x) = x. [para(116(a,1),1365(a,1,2))]. 1369 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),731(a,1,1))]. 1370 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1365(a,1,2))]. 1371 T(x \ 1,x \ T(x,y)) = x \ 1. [para(883(a,1),1365(a,1,2))]. 1372 T(1 / x,T(x,y) / x) = 1 / x. [para(901(a,1),1365(a,1,2))]. 1373 R(x,x \ 1,x) = T(x,x \ 1). [para(1367(a,1),727(a,1,1))]. 1375 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1373(a,1),32(a,2,1))]. 1376 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(57,a,1371,a)]. 1377 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1372(a,1),425(a,1,1,2)),flip(a)]. 1378 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1370(a,1),727(a,1,1))]. 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1376(a,1),699(a,1,1)),flip(a)]. 1380 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(285,a,698,a,b,1379,a)]. 1382 T(K(x,y),x \ 1) = K(x,y). [para(21(a,2),1380(a,2,1)),flip(a)]. 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(57,a,1382,a)]. 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [hyper(124,a,1382,a(flip),b,27,a(flip)),flip(a)]. 1385 T(T(x \ 1,y),K(x,z)) = T(x \ 1,y). [para(1383(a,1),28(a,1,1)),flip(a)]. 1386 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1383(a,1),263(a,1,2))]. 1387 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),419(a,1,2)),flip(a)]. 1388 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(66,a,860,a(flip),b,1384,a),flip(a)]. 1390 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(116(a,1),1364(a,1,2)),flip(a)]. 1391 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1141(a,2),1364(a,1,2))]. 1392 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(264,a,1390,a)]. 1393 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(135,a,1390,a)]. 1394 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1136(a,1),1390(a,2,2,1,2)),flip(a)]. 1395 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1157(a,1),1393(a,1,1,2,1))]. 1396 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(285,a,27,a,b,1366,a)]. 1397 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(124,a,1366,a,b,xx),flip(a)]. 1399 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(285,a,1110,a(flip),b,1396,a)]. 1400 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(122,a,1396,a,b,1110,a(flip))]. 1401 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(325(a,1),1396(a,1,1)),flip(a)]. 1402 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(883(a,1),1396(a,1,1))]. 1403 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1281(a,2),1396(a,1,1)),flip(a)]. 1404 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(117(a,1),1403(a,1,1,2,2)),flip(a)]. 1405 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(285,a,15,a(flip),b,1387,a),flip(a)]. 1407 T(x,K(x \ 1,y)) = x. [hyper(134,a,1405,a)]. 1408 K(x \ 1,y) * x = x * K(x \ 1,y). [hyper(124,a,1407,a(flip),b,27,a(flip))]. 1410 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(263,a,1399,a),flip(a)]. 1411 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1371(a,1),1400(a,1,2,1,2)),flip(a)]. 1412 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(123,a,830,a(flip),b,1351,a)]. 1413 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(123,a,829,a(flip),b,1351,a),flip(a)]. 1414 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(123,a,116,a(flip),b,1351,a),flip(a)]. 1415 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1205(a,1),1352(a,1,1,2,1)),flip(a)]. 1416 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(15(a,1),1354(a,1,2,2,1,2,2))]. 1417 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(17(a,1),1354(a,1,2,2,1,2,2)),flip(a)]. 1418 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(326(a,1),1354(a,2,1,2,1))]. 1419 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1354(a,1,2,2,1,2)),flip(a)]. 1420 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(15(a,1),1411(a,2,2,1))]. 1422 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(188(a,1),1420(a,2,2))]. 1423 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(57,a,1422,a)]. 1425 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(58,a,1423,a)]. 1426 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(116(a,1),1417(a,1,1)),flip(a)]. 1427 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(838(a,1),1417(a,1,1)),flip(a)]. 1428 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1076(a,2),1417(a,1,1))]. 1429 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(66,a,830,a,b,1426,a)]. 1430 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(14(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1431 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(79(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1432 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1140(a,2),1426(a,1,2)),flip(a)]. 1433 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(209(a,1),1430(a,1,1,1,2)),flip(a)]. 1434 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(116(a,1),1433(a,1,2))]. 1435 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(225,a,1434,a)]. 1436 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(123,a,1435,a,b,xx)]. 1437 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(122,a,1435,a,b,271,a)]. 1438 x * (T((x \ y) * x,x) / x) = T(y,x). [hyper(124,a,1436,a,b,xx)]. 1440 x \ T(x * (y / x),x) = T(y,x) / x. [para(91(a,1),1436(a,1,1,1)),flip(a)]. 1442 x * (T(y * x,x) / x) = T(x * y,x). [para(14(a,1),1438(a,1,2,1,1,1))]. 1443 T(x * (y / x),x) = x * (T(y,x) / x). [para(91(a,1),1438(a,1,2,1,1)),flip(a)]. 1445 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(896(a,1),1442(a,1,2)),flip(a)]. 1447 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1150(a,1),1442(a,1,2,1,1))]. 1448 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(14(a,1),1437(a,1,2,1,1))]. 1449 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(285,a,1354,a(flip),b,1445,a),flip(a)]. 1450 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(85(a,1),1432(a,1,1,1,2)),flip(a)]. 1452 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(243(a,2),1450(a,2,1))]. 1453 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(14(a,1),1452(a,1,2,2)),flip(a)]. 1454 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(27(a,2),1452(a,1,2,2))]. 1455 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1453(a,1),216(a,1,2))]. 1456 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),1428(a,2,2,2,1,2))]. 1458 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(325(a,1),1456(a,2,2))]. 1460 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(788(a,1),1458(a,1,1,1))]. 1462 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(582(a,1),213(a,1,1))]. 1463 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(15(a,1),1462(a,1,1,2))]. 1464 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(123,a,575,a(flip),b,781,a)]. 1465 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(12(a,1),1464(a,1,1,1))]. 1466 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(17(a,1),1464(a,1,1,1)),flip(a)]. 1467 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1465(a,1),1114(a,1,1,2))]. 1468 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(124,a,810,a(flip),b,104,a),flip(a)]. 1469 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),816(a,1,2,1))]. 1470 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(357(a,1),964(a,1,2))]. 1471 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(185,a,1470,a)]. 1472 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(66,a,719,a(flip),b,1087,a),flip(a)]. 1473 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(87(a,1),1472(a,1,2)),flip(a)]. 1474 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(578,a,1473,a(flip))]. 1476 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(224,a,1474,a,b,15,a)]. 1478 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(357(a,1),1133(a,1,1)),flip(a)]. 1479 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(138,a,1478,a)]. 1481 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(285,a,14,a(flip),b,1479,a),flip(a)]. 1482 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(224,a,1479,a,b,15,a)]. 1483 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(14(a,1),1481(a,1,2,1))]. 1484 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1369(a,1,2)),flip(a)]. 1485 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1484(a,1,2)),flip(a)]. 1486 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1485(a,1),36(a,1,1)),flip(a)]. 1487 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1485(a,1),1168(a,1,1))]. 1488 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(15(a,1),716(a,2,1,1,2))]. 1489 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(285,a,417,a(flip),b,1488,a),flip(a)]. 1490 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(16(a,1),1489(a,1,1,1,2))]. 1491 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(861,a,1490,a)]. 1492 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(815,a,1039,a)]. 1493 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(798(a,1),1492(a,1,1))]. 1494 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1000(a,1),1493(a,1,1,2,1))]. 1495 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),941(a,1,1))]. 1496 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(285,a,587,a(flip),b,944,a),flip(a)]. 1497 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(796,a,945,a)]. 1498 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(815,a,1040,a)]. 1499 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1301(a,1),1498(a,1,1))]. 1500 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(135,a,1499,a)]. 1502 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(209(a,1),1499(a,1,1,2)),flip(a)]. 1503 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1500(a,1),912(a,1,3)),flip(a)]. 1504 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1093(a,1),391(a,1))]. 1505 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(90(a,1),1128(a,1,2)),flip(a)]. 1506 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(12(a,1),1505(a,2,1,1))]. 1507 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(128,a,1144,a)]. 1508 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(15(a,1),1145(a,2,2,1,2))]. 1509 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(308,a,1155,a),flip(a)]. 1510 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(128,a,1171,a)]. 1511 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(12(a,1),1173(a,2,1,1,1))]. 1512 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(285,a,593,a(flip),b,1511,a),flip(a)]. 1513 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(593(a,1),1512(a,1,1))]. 1514 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(135,a,1513,a),flip(a)]. 1515 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1514(a,1,1)),flip(a)]. 1516 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1049,a,1177,a)]. 1517 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1177(a,1,1))]. 1518 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1516(a,1),50(a,1)),flip(a)]. 1519 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1516(a,2),1493(a,1,1)),flip(a)]. 1520 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(128,a,1180,a)]. 1521 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(308,a,1248,a),flip(a)]. 1522 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1521(a,1),222(a,1,2))]. 1523 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(427,a,1522,a)]. 1524 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(87(a,1),1298(a,1,1,1)),flip(a)]. 1526 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1524(a,1),1065(a,1,2)),flip(a)]. 1527 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(285,a,223,a(flip),b,1319,a),flip(a)]. 1528 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(915(a,1),1527(a,1,2,1,2))]. 1529 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(231(a,1),1487(a,1,2))]. 1530 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(16(a,1),1496(a,1,1,1,1,1)),flip(a)]. 1531 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(587(a,1),1496(a,1,1))]. 1532 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(593(a,1),1497(a,2,1))]. 1533 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(13(a,1),1507(a,1,2,2,1,2)),flip(a)]. 1534 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(23(a,2),1533(a,1,1)),flip(a)]. 1535 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(13(a,1),1510(a,1,2,2,1,2)),flip(a)]. 1536 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(15(a,1),1520(a,1,2,2,1))]. 1537 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1536,a)]. 1538 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1536(a,1),434(a,1))]. 1539 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(285,a,1304,a(flip),b,1537,a),flip(a)]. 1540 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(87(a,1),1537(a,1,2,1)),flip(a)]. 1541 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(907(a,1),1537(a,1,2)),flip(a)]. 1542 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(954(a,1),1537(a,1,2)),flip(a)]. 1543 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1347(a,1),1537(a,1,2)),flip(a)]. 1544 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),1539(a,2,2,1))]. 1545 T(x,x / (x * (y \ x))) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,1516,a),flip(a)]. 1546 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1545(a,1,2))]. 1547 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(16(a,1),1546(a,2,2,2))]. 1548 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(419(a,2),1541(a,1,2,1))]. 1549 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(14(a,1),1530(a,1,2,1)),flip(a)]. 1550 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(587(a,1),1530(a,2,1))]. 1551 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(588(a,1),1549(a,1,1))]. 1552 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(550,a,1551,a)]. 1553 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(525,a,1551,a),flip(a)]. 1554 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(517,a,1551,a)]. 1555 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(128,a,1551,a)]. 1556 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(123,a,150,a(flip),b,1551,a)]. 1557 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(122,a,1551,a(flip),b,96,a)]. 1559 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1551(a,1),310(a,1,1))]. 1560 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(224,a,1553,a,b,15,a)]. 1562 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1553(a,1),355(a,1,1)),flip(a)]. 1563 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1554(a,1),297(a,1,2)),flip(b)]. 1564 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(178(a,1),1554(a,1,1,1)),flip(a)]. 1565 ((x * (y / z)) * z) \ ((x * y) * z) = L(z,y / z,x). [para(499(a,1),1554(a,1,1,1))]. 1567 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1555(a,1),981(a,1,1)),flip(a)]. 1568 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [para(1556(a,1),118(a,1,1))]. 1569 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1556(a,1,1)),flip(a)]. 1570 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1560(a,1),231(a,1,1))]. 1571 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(124,a,1567,a(flip),b,589,a)]. 1573 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(135,a,1569,a)]. 1574 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(128,a,1569,a),flip(a)]. 1575 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(123,a,460,a(flip),b,1569,a)]. 1577 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1569(a,1),308(a,1,2))]. 1578 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(17(a,1),1574(a,2,2,1,2)),flip(a)]. 1579 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(224,a,1571,a,b,15,a),flip(a)]. 1580 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(135,a,1571,a)]. 1581 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(123,a,151,a(flip),b,1571,a)]. 1583 a(1 / x,x / y,y) \ (((1 / x) * x) * y) = L(y,x / y,1 / x). [para(865(a,1),1565(a,1,1))]. 1584 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1562(a,2),47(a,1))]. 1585 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(123,a,938,a(flip),b,1531,a)]. 1586 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(85(a,1),1531(a,1,1,2,1,2)),flip(a)]. 1588 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(66,a,938,a(flip),b,1586,a)]. 1589 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(66,a,937,a(flip),b,1586,a)]. 1590 T(x,x * L(x \ 1,y,z)) = x. [hyper(224,a,823,a(flip),b,1586,a(flip))]. 1591 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(224,a,1586,a(flip),b,446,a(flip))]. 1593 K(x,x * L(x \ 1,y,z)) = 1. [hyper(58,a,1590,a)]. 1594 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(357(a,1),1590(a,1,2,2))]. 1595 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1080(a,1),1590(a,1,2))]. 1596 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1506(a,1),1590(a,1,2))]. 1597 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1242(a,2),1595(a,1,2))]. 1598 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1596(a,1),425(a,1,1,2)),flip(a)]. 1599 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(90(a,1),1594(a,1,2,2))]. 1600 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1594(a,1),667(a,1,2)),flip(a)]. 1601 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1597(a,1),727(a,1,1))]. 1602 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(57,a,1599,a)]. 1603 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(38,a,778,a,b,1600,a),flip(a)]. 1604 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(123,a,1508,a(flip),b,1588,a(flip)),flip(a)]. 1605 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1604(a,1,1)),flip(a)]. 1606 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(66,a,941,a(flip),b,1532,a)]. 1607 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(224,a,1532,a(flip),b,1171,a),flip(a)]. 1608 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(224,a,1532,a(flip),b,941,a(flip)),flip(a)]. 1609 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(122,a,1532,a(flip),b,1171,a),flip(a)]. 1610 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(12(a,1),1532(a,1,2,1,2))]. 1611 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1532(a,1,2,1)),flip(a)]. 1613 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(663(a,1),1532(a,1,2,1)),flip(a)]. 1614 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1611(a,1,1,2,1))]. 1616 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(525,a,1614,a),flip(a)]. 1617 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(517,a,1614,a)]. 1619 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(128,a,1614,a)]. 1620 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(123,a,150,a(flip),b,1614,a)]. 1621 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(123,a,88,a(flip),b,1614,a),flip(a)]. 1622 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(122,a,150,a(flip),b,1614,a)]. 1623 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(223(a,1),1614(a,1,1)),flip(a)]. 1624 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(828,a,1621,a)]. 1625 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(224,a,1621,a,b,15,a),flip(a)]. 1626 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1621(a,1),225(a,2)),flip(a)]. 1627 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1621(a,1),105(a,2,1))]. 1628 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1617(a,1),297(a,1,2)),flip(b)]. 1630 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1619(a,1),981(a,1,1)),flip(a)]. 1631 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1619(a,1),1329(a,1,2,1)),flip(a)]. 1632 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(66,a,837,a(flip),b,1630,a)]. 1633 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(124,a,1630,a(flip),b,589,a)]. 1634 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1630(a,1),223(a,1,2)),flip(a)]. 1635 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(796,a,1624,a)]. 1636 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(123,a,81,a(flip),b,1633,a)]. 1638 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(627,a,1636,a)]. 1639 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1625(a,1),656(a,1,1,2))]. 1640 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(27(a,2),1608(a,1,2,1,2)),flip(a)]. 1641 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(123,a,1640,a,b,593,a)]. 1642 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(122,a,1640,a,b,xx)]. 1643 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(188(a,1),1640(a,2,2,1,2))]. 1644 T(x,x * R(x \ 1,y,z)) = x. [hyper(57,a,1643,a)]. 1645 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1643(a,1),1443(a,2,2,1))]. 1646 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(90(a,1),1644(a,1,2,2,1))]. 1647 T(x,(y / (x * y)) * x) = x. [para(607(a,2),1644(a,1,2))]. 1648 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(595(a,1),1644(a,1,2))]. 1649 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1644(a,1,2))]. 1650 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1647(a,1),1026(a,1,1,1)),flip(a)]. 1651 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(57,a,1649,a)]. 1652 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1649(a,1),28(a,1,1)),flip(a)]. 1653 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1646(a,1),669(a,1,1,2))]. 1654 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1648(a,1),727(a,1,1))]. 1655 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1654(a,1),1169(a,1,1))]. 1656 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(14(a,1),1641(a,1,1,1,2,1)),flip(a)]. 1658 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(66,a,941,a(flip),b,1610,a)]. 1659 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(66,a,940,a(flip),b,1610,a)]. 1661 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(116(a,1),1623(a,1,1)),flip(a)]. 1662 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(285,a,118,a(flip),b,1632,a),flip(a)]. 1663 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(124,a,118,a(flip),b,1632,a)]. 1664 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(205(a,1),1663(a,1,1,2))]. 1665 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(285,a,12,a(flip),b,1664,a),flip(a)]. 1666 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(15(a,1),1665(a,1,1,2,2))]. 1667 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(66,a,938,a(flip),b,1550,a)]. 1668 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(66,a,823,a(flip),b,1550,a),flip(a)]. 1669 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(224,a,1550,a(flip),b,938,a(flip)),flip(a)]. 1671 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(27(a,2),1669(a,1,2,1,2)),flip(a)]. 1672 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(122,a,1671,a,b,xx)]. 1673 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(14(a,1),1672(a,1,2,1,2,1)),flip(a)]. 1674 a(1 / x,x / y,y) \ y = L(y,x / y,1 / x). [para(88(a,1),1583(a,1,2))]. 1675 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(1508(a,1),1585(a,1,1)),flip(a)]. 1676 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(14(a,1),1631(a,1,1,2,1))]. 1677 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(123,a,150,a(flip),b,1676,a)]. 1678 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(116(a,1),1677(a,1,1)),flip(a)]. 1679 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(224,a,1678,a,b,15,a),flip(a)]. 1681 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(601(a,1),1650(a,1,2))]. 1682 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(748(a,2),1675(a,1,2,1)),flip(a)]. 1683 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(585(a,1),1682(a,1,1)),flip(a)]. 1684 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(16(a,1),1683(a,1,1)),flip(a)]. 1685 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1684(a,1),118(a,1,1))]. 1686 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(285,a,1240,a(flip),b,1685,a),flip(a)]. 1687 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(27(a,2),1686(a,2,2))]. 1688 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(15(a,1),470(a,1,2,1))]. 1689 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1375(a,1),484(a,1,2,3))]. 1690 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(814(a,1),877(a,1,1))]. 1691 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1211(a,1),1690(a,2,2,1,2))]. 1692 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(32(a,2),1056(a,1,1,1))]. 1693 ((x \ ((x * y) / z)) * x) * z != u | x * (z * T(z \ y,x)) = u. [para(1429(a,1),1072(a,1))]. 1694 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(66,a,978,a(flip),b,1188,a),flip(a)]. 1695 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(242(a,1),1395(a,1,1))]. 1696 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(491(a,1),1494(a,2,2))]. 1697 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(12(a,1),1696(a,2,2,1))]. 1698 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(464(a,1),1692(a,1,1))]. 1699 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(355(a,1),1698(a,1,2))]. 1700 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1699(a,1),28(a,1,1)),flip(a)]. 1701 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1225(a,1),1700(a,1,1))]. 1702 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(17(a,1),1701(a,1,1)),flip(a)]. 1703 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1702(a,2,2))]. 1704 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(17(a,1),1703(a,1,1))]. 1705 T(x,x * (y \ 1)) = T(x,y \ x). [para(118(a,1),1704(a,1,2)),flip(a)]. 1706 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(746(a,1),1119(a,1,2,1))]. 1707 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(138,a,1706,a)]. 1708 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(66,a,1262,a(flip),b,1707,a),flip(a)]. 1709 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1653(a,1),1161(a,1,1))]. 1710 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(66,a,232,a(flip),b,1709,a)]. 1711 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1027(a,1),1184(a,2,2))]. 1712 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(21(a,2),1711(a,1,2,1)),flip(a)]. 1713 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(21(a,2),1271(a,1,2,1)),flip(a)]. 1714 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1110(a,1),1713(a,1,2))]. 1715 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(128,a,1714,a)]. 1716 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1594(a,1),1278(a,2,2,2))]. 1717 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(15(a,1),1295(a,2,1))]. 1718 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(128,a,1468,a)]. 1719 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1537(a,2),1468(a,1,2))]. 1720 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(13(a,1),1719(a,2,2,1,2,2))]. 1721 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(27(a,2),1720(a,1,2,2,1,2)),flip(a)]. 1722 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1029(a,1),1543(a,1,2,1))]. 1723 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1586(a,1),1589(a,1,2)),flip(a)]. 1724 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1080(a,1),1723(a,1,1)),flip(a)]. 1725 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1607(a,1,1))]. 1726 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1725(a,1,2,1,1))]. 1727 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(14(a,1),1726(a,2,1,2,1))]. 1728 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(600(a,1),1645(a,2,2))]. 1729 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(600(a,1),1728(a,1,1,2))]. 1730 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(205(a,1),1729(a,1,1,2))]. 1731 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(205(a,1),1730(a,2,2))]. 1732 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(66,a,1681,a,b,1731,a)]. 1733 T(x,x * (y / (x * y))) = x. [hyper(57,a,1731,a)]. 1734 T(x,x * ((x \ y) / y)) = x. [para(15(a,1),1733(a,1,2,2,2))]. 1735 T(x / y,(x / y) * (y / x)) = x / y. [para(17(a,1),1733(a,1,2,2,2))]. 1736 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1734(a,1),282(a,1,1)),flip(a)]. 1737 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1735(a,1),231(a,1,1)),flip(a)]. 1738 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(285,a,118,a(flip),b,1737,a),flip(a)]. 1739 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1738(a,1),1293(a,2,1,2))]. 1740 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1736(a,1),1293(a,2,1,2))]. 1741 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1610(a,1),1659(a,1,2)),flip(a)]. 1742 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),1741(a,1,1)),flip(a)]. 1743 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(823(a,1),1668(a,1,1))]. 1744 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(123,a,150,a(flip),b,1743,a)]. 1745 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(356(a,1),1743(a,1,1,2,2)),flip(a)]. 1746 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(356(a,1),1745(a,1,2,2)),flip(a)]. 1747 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(285,a,238,a(flip),b,1716,a),flip(a)]. 1749 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1747(a,1),1124(a,1,1)),flip(a)]. 1750 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(66,a,1482,a(flip),b,1749,a)]. 1751 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(391,a,1750,a)]. 1752 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(14(a,1),1750(a,1,1,2))]. 1753 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1751(a,1),1533(a,1,2)),flip(a)]. 1754 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(14(a,1),1752(a,2,2))]. 1755 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(185,a,1754,a)]. 1756 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(138,a,1754,a)]. 1757 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1755(a,1),1120(a,2,1,1,2)),flip(a)]. 1758 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(203(a,2),1756(a,1,1,1)),flip(a)]. 1759 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(123,a,203,a,b,1758,a(flip))]. 1760 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(13(a,1),1718(a,1,2,2,1,2,2)),flip(a)]. 1761 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(15(a,1),1739(a,2,1))]. 1762 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(285,a,85,a(flip),b,1761,a),flip(a)]. 1764 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(285,a,413,a(flip),b,750,a),flip(a)]. 1765 T(x,x * (y * T(y \ 1,x))) = x. [para(1764(a,1),258(a,1,2))]. 1766 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1764(a,1),1301(a,1,1)),flip(a)]. 1767 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1764(a,1),1327(a,1,2)),flip(a)]. 1768 T(x,x * K(y,x)) = x. [para(1266(a,2),1765(a,1,2,2))]. 1769 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1262(a,1),1765(a,1,2,2))]. 1770 T(x * K(y,x),x) = x * K(y,x). [hyper(57,a,1768,a)]. 1771 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1050(a,1),1769(a,1,2,2,2,2))]. 1772 T(x,x * (T(x,y) \ x)) = x. [para(15(a,1),1771(a,1,2,2,2))]. 1773 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1772(a,1),28(a,1,1)),flip(a)]. 1774 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(66,a,1019,a(flip),b,1773,a)]. 1775 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(185,a,1774,a)]. 1777 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1502(a,1),1774(a,1,1,2,1))]. 1778 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1214,a,1775,a)]. 1779 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(66,a,1201,a(flip),b,1775,a)]. 1780 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1775(a,2),670(a,1,2))]. 1781 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1778(a,1),417(a,1,1)),flip(a)]. 1782 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(411(a,1),794(a,1,1)),flip(a)]. 1783 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(66,a,1377,a(flip),b,911,a)]. 1785 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1783(a,1),638(a,1,1))]. 1786 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(66,a,232,a(flip),b,1785,a),flip(a)]. 1787 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1786(a,1),1541(a,1,2))]. 1788 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(973(a,1),1193(a,1,2))]. 1789 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(27(a,2),1788(a,1,2,1,1))]. 1790 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(66,a,415,a(flip),b,1789,a),flip(a)]. 1791 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1254(a,1,2,2))]. 1792 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(138,a,1791,a)]. 1793 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1792(a,1),878(a,1,2,1))]. 1794 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1792(a,1),1537(a,2,2,1)),flip(a)]. 1795 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(308,a,1455,a),flip(a)]. 1796 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(285,a,1502,a(flip),b,1777,a),flip(a)]. 1797 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1571(a,2),584(a,1,2))]. 1798 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(116(a,1),819(a,1,2,1,1)),flip(a)]. 1799 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(224,a,1610,a(flip),b,1798,a),flip(a)]. 1800 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(608,a,1799,a),flip(a)]. 1801 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1799(a,1,2,1,1)),flip(a)]. 1802 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(886(a,1),1800(a,2,1,2))]. 1803 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1378(a,1),1802(a,1,1,2)),flip(a)]. 1804 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(38,a,1410,a(flip),b,1803,a),flip(a)]. 1806 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1804(a,1),118(a,1,1))]. 1807 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1804(a,2),1425(a,1,2))]. 1808 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(66,a,1422,a(flip),b,1806,a),flip(a)]. 1810 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(15(a,1),1163(a,1,2,1)),flip(a)]. 1811 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(118(a,1),1810(a,1,1)),flip(a)]. 1812 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(118(a,1),1811(a,1,2)),flip(a)]. 1813 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(14(a,1),1812(a,1,1)),flip(a)]. 1814 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(14(a,1),1813(a,1,2)),flip(a)]. 1815 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(15(a,1),1253(a,1,2,1)),flip(a)]. 1816 L(x / y,z,u) \ T(x / y,y) = (y \ x) * (L(x / y,z,u) \ 1). [para(118(a,1),1815(a,1,1)),flip(a)]. 1817 (x \ y) * (L(y / x,z,u) \ 1) = L(y / x,z,u) \ (x \ y). [para(118(a,1),1816(a,1,2)),flip(a)]. 1818 L(x / (x / y),z,u) \ ((x / y) \ x) = y * (L(x / (x / y),z,u) \ 1). [hyper(66,a,182,a(flip),b,1817,a),flip(a)]. 1822 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(883(a,1),1391(a,2,1))]. 1823 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(37,a,272,a,b,1822,a),flip(a)]. 1824 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(15(a,1),1463(a,1,2,2)),flip(a)]. 1825 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(15(a,1),1824(a,1,3,2)),flip(a)]. 1827 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(224,a,1531,a,b,1469,a(flip))]. 1828 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(224,a,1550,a(flip),b,1469,a(flip)),flip(a)]. 1829 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(13(a,1),1469(a,1,2,1,2)),flip(a)]. 1830 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(224,a,1586,a(flip),b,1829,a),flip(a)]. 1831 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1830(a,1),46(a,1))]. 1832 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(203(a,1),1830(a,1,2)),flip(a)]. 1833 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(453(a,1),1830(a,2,1,2))]. 1834 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(903(a,1),1832(a,2,2,1))]. 1835 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1787(a,1),1834(a,1,1)),flip(a)]. 1836 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(15(a,1),1528(a,1,2,1)),flip(a)]. 1837 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(135,a,1836,a)]. 1839 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(66,a,927,a(flip),b,1837,a),flip(a)]. 1840 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(595(a,1),1609(a,2,2,1))]. 1841 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(207(a,1),1740(a,2,1))]. 1842 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(285,a,85,a(flip),b,1841,a),flip(a)]. 1844 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1842(a,1),1124(a,1,1)),flip(a)]. 1845 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(66,a,1476,a(flip),b,1844,a)]. 1846 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(90(a,1),1845(a,1,1,2,1))]. 1847 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(90(a,1),1846(a,2,2,1))]. 1848 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(138,a,1847,a)]. 1850 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1847(a,1),1762(a,1,1))]. 1851 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(16(a,1),1850(a,1,1,2))]. 1852 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(123,a,16,a(flip),b,1848,a),flip(a)]. 1853 K(1 / x,(y / (x * y)) * x) = 1. [para(16(a,1),1851(a,1,2,2))]. 1854 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(59,a,1853,a)]. 1855 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1504,a,1854,a)]. 1856 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(124,a,1854,a(flip),b,1093,a)]. 1857 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(205(a,2),1855(a,1,3))]. 1858 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1857(a,1),359(a,1,2))]. 1859 L(x \ 1,x,x \ 1) = 1 / x. [para(366(a,1),1857(a,1,3))]. 1860 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1859(a,1),30(a,2,1))]. 1861 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1859(a,1),35(a,1,1)),flip(a)]. 1862 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1859(a,1),359(a,1,2))]. 1863 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1859(a,1),1353(a,1,1,2)),flip(a)]. 1864 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1859(a,1),1588(a,2,1,2))]. 1865 T(1 / (1 / x),x \ 1) = x. [hyper(1235,a,1862,a)]. 1866 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(285,a,243,a,b,1862,a),flip(a)]. 1867 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1862(a,2),339(a,1))]. 1869 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1865(a,1),28(a,1,1)),flip(a)]. 1870 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1865(a,1),142(a,1,1)),flip(a)]. 1871 T(x,x \ 1) / x = K(x,x \ 1). [para(1865(a,1),1237(a,1,1)),flip(a)]. 1872 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(136,a,1866,a)]. 1873 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(66,a,1316,a(flip),b,1866,a)]. 1874 x * K(x \ 1,x) = 1 / (1 / x). [hyper(124,a,1866,a(flip),b,1316,a(flip))]. 1875 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1866(a,1),841(a,1,1))]. 1876 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(117(a,1),1871(a,1,1))]. 1877 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1872(a,1),103(a,1,1))]. 1878 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(66,a,358,a(flip),b,1873,a),flip(a)]. 1880 L(x,x \ 1,x) = 1 / (1 / x). [hyper(776,a,1874,a)]. 1881 K(x \ 1,x) * x = 1 / (1 / x). [hyper(66,a,1408,a,b,1874,a)]. 1885 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(1874(a,1),479(a,1,1,1))]. 1886 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1880(a,1),34(a,1,1)),flip(a)]. 1887 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1557(a,1,1,2,2))]. 1888 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(136,a,1876,a)]. 1889 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(124,a,1876,a(flip),b,1108,a(flip))]. 1890 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1881(a,1),328(a,1,1))]. 1892 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(66,a,1384,a,b,1889,a)]. 1893 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1892(a,1),499(a,1,1))]. 1894 T(x,1 / x) = T(x,x \ 1). [para(230(a,1),1869(a,1,1)),flip(a)]. 1895 T(x,1 / x) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1894,a),flip(a)]. 1896 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1894(a,1),425(a,1,1,2))]. 1897 T(x,x \ 1) / x = K(x,1 / x). [para(1894(a,1),737(a,1,1))]. 1898 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1894(a,1),736(a,2,1))]. 1899 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(87(a,1),1895(a,1,2))]. 1900 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1895(a,1),737(a,1,1))]. 1901 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1895(a,1),951(a,1,1,1))]. 1902 K(x,1 / x) = K(x,x \ 1). [hyper(66,a,1871,a(flip),b,1897,a),flip(a)]. 1903 K(x,x \ 1) = x * (1 / x). [hyper(402,a,1902,a),flip(a)]. 1904 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(66,a,626,a,b,1902,a)]. 1905 x \ K(x,x \ 1) = 1 / x. [hyper(122,a,1902,a(flip),b,245,a(flip))]. 1906 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(87(a,1),1902(a,1,2)),flip(a)]. 1908 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1902(a,1),1062(a,1,2))]. 1909 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1902(a,1),1315(a,1,2))]. 1910 (x \ 1) * K(x,1 / x) = 1 / x. [para(1902(a,2),1889(a,1,2))]. 1911 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(124,a,1903,a,b,1753,a),flip(a)]. 1912 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [hyper(124,a,1903,a,b,1244,a)]. 1913 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [hyper(124,a,1903,a,b,176,a)]. 1914 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(66,a,401,a,b,1903,a)]. 1916 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1903(a,2),100(a,1,1))]. 1917 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1903(a,2),106(a,1,2,2))]. 1918 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1903(a,2),445(a,1,1))]. 1919 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1903(a,2),981(a,1,1,2,1))]. 1920 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),830(a,1,1))]. 1921 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1903(a,2),1245(a,1,2))]. 1922 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1903(a,2),1746(a,1,1,2))]. 1923 x * (1 / x) != y | K(x,x \ 1) = y. [para(1905(a,1),240(a,1,2)),flip(b)]. 1926 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(285,a,284,a,b,1899,a)]. 1927 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(117(a,2),1899(a,2,1)),flip(a)]. 1928 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(90(a,1),1900(a,1,1,1)),flip(a)]. 1929 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [hyper(124,a,1909,a(flip),b,176,a)]. 1930 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1909(a,1),113(a,2,2))]. 1931 (1 / x) / K(x,1 / x) = x \ 1. [hyper(135,a,1910,a)]. 1933 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1927(a,1),359(a,1,2,1))]. 1934 R(1 / x,x,1 / x) = x \ 1. [hyper(623,a,1931,a)]. 1935 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1934(a,1),371(a,1,1)),flip(a)]. 1936 K(x,1 / x) != y | K(x,x \ 1) = y. [para(245(a,2),1923(a,1))]. 1937 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1926(a,1),1402(a,2,1,2,2))]. 1938 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1860(a,1),448(a,1,2))]. 1939 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1890(a,1),587(a,1,1,1)),flip(a)]. 1940 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1928(a,2),1867(a,1))]. 1941 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1935(a,1),176(a,1,1))]. 1942 K(x \ 1,x) * L(1 / x,y,z) != u | (x \ 1) * (x * L(x \ 1,y,z)) = u. [para(1861(a,1),764(a,1,2))]. 1943 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1886(a,1),1695(a,1,1))]. 1944 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1898(a,1),661(a,1,2))]. 1947 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1940,a,1902,a),flip(a)]. 1948 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(1902(a,1),1940(a,1))]. 1950 K(1 / x,x) != y | K(x \ 1,x) = y. [para(90(a,1),1948(a,1,2))]. 1951 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(1950,a,1916,a(flip)),flip(a)]. 1952 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1626,a,1858,a)]. 1953 T(1 / (1 / x),y / (x * y)) = x. [para(205(a,1),1952(a,1,2))]. 1954 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1952(a,1),1869(a,1,1)),flip(a)]. 1955 T(x,y / (x * y)) = T(x,x \ 1). [para(1953(a,1),1869(a,1,1)),flip(a)]. 1956 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1955,a),flip(a)]. 1957 T(x,(x \ y) / y) = T(x,x \ 1). [para(15(a,1),1955(a,1,2,2))]. 1958 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1955(a,1),1296(a,2,1))]. 1959 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(17(a,1),1956(a,1,2,2))]. 1960 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [hyper(124,a,1957,a(flip),b,27,a(flip))]. 1961 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1957(a,1),263(a,1,2))]. 1962 x \ T(x,x \ 1) = K(x,1 / x). [hyper(122,a,1954,a(flip),b,1547,a(flip))]. 1963 x * K(x,x \ 1) = T(x,x \ 1). [hyper(124,a,1902,a(flip),b,1962,a)]. 1964 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(66,a,278,a(flip),b,1962,a)]. 1965 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1963,a),flip(a)]. 1966 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(122,a,1955,a,b,1963,a)]. 1969 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1963(a,1),479(a,1,1,1))]. 1970 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(122,a,1964,a,b,245,a(flip))]. 1971 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(122,a,1964,a(flip),b,994,a),flip(a)]. 1972 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1964(a,2),1936(a,1))]. 1974 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [hyper(124,a,1959,a(flip),b,27,a(flip))]. 1975 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1959(a,1),418(a,1,1))]. 1976 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1896,a),flip(a)]. 1977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(90(a,1),1901(a,1,1,1,1)),flip(a)]. 1978 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1901(a,1),118(a,1,1))]. 1979 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1903(a,2),1922(a,2,2))]. 1980 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(209(a,1),1976(a,1,1)),flip(a)]. 1981 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(128,a,1979,a)]. 1982 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(123,a,150,a(flip),b,1979,a)]. 1983 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1981(a,1),981(a,1,1)),flip(a)]. 1984 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1982(a,1),118(a,1,1))]. 1985 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1982(a,1),630(a,1,1))]. 1986 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(16(a,1),1852(a,1,1)),flip(a)]. 1987 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1986(a,1),1121(a,1,1,2))]. 1989 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(285,a,1020,a(flip),b,1971,a),flip(a)]. 1990 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(37,a,628,a(flip),b,1975,a(flip))]. 1992 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(209(a,1),1980(a,1,1)),flip(a)]. 1993 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1992(a,1),1213(a,1,1))]. 1994 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1993(a,1),1207(a,1,1,1))]. 1995 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1526,a,b,1989,a)]. 1996 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1903(a,2),1863(a,2,1))]. 1997 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1996(a,1),1864(a,1,2))]. 1998 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1903(a,2),1997(a,2,1))]. 1999 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(14(a,1),1998(a,1,2,2)),flip(a)]. 2000 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(27(a,2),1998(a,1,2,2))]. 2001 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1998(a,1),46(a,1))]. 2002 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(285,a,1402,a,b,1937,a),flip(a)]. 2003 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2002(a,1),699(a,1,1)),flip(a)]. 2004 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [hyper(124,a,1938,a(flip),b,583,a)]. 2005 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(876,a,1994,a)]. 2006 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [hyper(124,a,2005,a(flip),b,1516,a)]. 2007 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1000(a,1),2005(a,1,2,1))]. 2008 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2007(a,1),1697(a,1,1))]. 2009 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(237,a,2008,a),flip(a)]. 2012 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(66,a,2006,a,b,2009,a)]. 2013 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2007(a,2),2012(a,1,2))]. 2014 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(285,a,686,a(flip),b,1919,a),flip(a)]. 2015 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(285,a,1903,a,b,1941,a),flip(a)]. 2016 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(66,a,625,a(flip),b,1987,a),flip(a)]. 2018 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(136,a,2016,a)]. 2020 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(285,a,699,a(flip),b,2003,a),flip(a)]. 2021 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(21(a,2),2020(a,2,1))]. 2022 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(21(a,2),2021(a,1,1))]. 2023 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1856(a,1),2015(a,1,2))]. 2024 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(138,a,2023,a),flip(a)]. 2026 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(979,a,1877,a(flip))]. 2027 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(2026(a,2),46(a,1))]. 2028 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(14(a,1),1757(a,1,1,1))]. 2029 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(224,a,2028,a,b,15,a)]. 2030 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(135,a,2028,a)]. 2033 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(285,a,413,a(flip),b,751,a),flip(a)]. 2034 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(903(a,1),2033(a,2,2))]. 2035 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(66,a,1303,a,b,2034,a)]. 2036 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2034(a,1),1302(a,1,1)),flip(a)]. 2037 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2034(a,1),2035(a,1,1,2))]. 2038 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(14(a,1),2037(a,1,1))]. 2040 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(815,a,879,a),flip(a)]. 2041 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [para(12(a,1),2040(a,1,2,1,2,2))]. 2042 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(17(a,1),2040(a,1,2,1,2,2)),flip(a)]. 2043 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(798(a,1),2040(a,2,1))]. 2044 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [hyper(800,a,2041,a)]. 2045 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(798(a,1),2041(a,2,1))]. 2046 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(112(a,1),2044(a,1,2))]. 2047 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(66,a,1178,a(flip),b,2045,a)]. 2048 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(66,a,1177,a(flip),b,2045,a),flip(a)]. 2049 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(224,a,2045,a(flip),b,1721,a(flip))]. 2052 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(285,a,1537,a(flip),b,2049,a)]. 2053 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1326(a,1),2048(a,1,1)),flip(a)]. 2054 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(15(a,1),2052(a,2,1,2,1))]. 2055 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(419(a,2),2052(a,2,1,2,1)),flip(a)]. 2056 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1000(a,1),2054(a,1,2,1))]. 2057 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1903(a,2),2056(a,2,1))]. 2058 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2057(a,1),2013(a,1,2))]. 2059 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2058(a,1),46(a,1))]. 2060 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(293,a,2042,a),flip(a)]. 2061 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2042(a,1),293(a,1))]. 2062 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(66,a,1179,a(flip),b,2060,a)]. 2063 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(66,a,1043,a(flip),b,2060,a),flip(a)]. 2064 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(224,a,2063,a,b,15,a)]. 2066 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(334(a,2),2062(a,2,1,2,1)),flip(a)]. 2067 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2045(a,1),2062(a,1,2)),flip(a)]. 2068 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1043(a,1),2061(a,1))]. 2070 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(293,a,2043,a),flip(a)]. 2071 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(66,a,1179,a(flip),b,2043,a)]. 2072 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(15(a,1),2071(a,1,2,2,1)),flip(a)]. 2073 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2072(a,2,2,2,1))]. 2074 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2045(a,1),2047(a,1,2)),flip(a)]. 2075 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1537(a,2),2074(a,1,1))]. 2076 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1326(a,1),2053(a,1,2)),flip(a)]. 2077 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(135,a,2076,a)]. 2078 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2077(a,1),813(a,1,1))]. 2079 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(66,a,487,a(flip),b,2078,a),flip(a)]. 2080 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2079(a,1),638(a,1,1))]. 2081 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(630,a,2080,a),flip(a)]. 2082 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(285,a,21,a,b,2081,a)]. 2083 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(21(a,2),2082(a,2,1,2)),flip(a)]. 2084 T(1 / x,K(y,x)) = 1 / x. [hyper(250,a,2083,a)]. 2085 K(x,y) * (1 / y) = (1 / y) * K(x,y). [hyper(136,a,2083,a)]. 2086 x / (1 / (1 / x)) = K(x,1 / x). [para(1315(a,1),2083(a,1,1))]. 2087 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [hyper(254,a,2084,a)]. 2088 K(1 / x,K(y,x)) = 1. [hyper(58,a,2084,a)]. 2089 K(x,K(y,x \ 1)) = 1. [para(87(a,1),2088(a,1,1))]. 2090 T(x,K(y,x \ 1)) = x. [hyper(59,a,2089,a)]. 2091 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2090(a,1),222(a,1,2,1)),flip(a)]. 2092 x / (1 / (1 / x)) = x * (1 / x). [hyper(285,a,245,a(flip),b,2086,a),flip(a)]. 2093 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(136,a,2086,a)]. 2094 L(x,1 / x,x) = 1 / (1 / x). [hyper(554,a,2092,a)]. 2095 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2094(a,1),30(a,2,1))]. 2096 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1902(a,1),2093(a,1,1))]. 2097 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(128,a,2096,a)]. 2098 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2096(a,1),103(a,1,1))]. 2099 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2087(a,1),784(a,1,1,1))]. 2100 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [hyper(124,a,2095,a(flip),b,936,a)]. 2101 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(66,a,1912,a(flip),b,2091,a),flip(a)]. 2102 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2091(a,1),46(a,1)),flip(a)]. 2103 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(308,a,2099,a)]. 2104 T(K(x,y),y \ 1) = K(x,y). [para(366(a,1),2103(a,1,2))]. 2105 T(x \ 1,K(y,x)) = x \ 1. [hyper(57,a,2104,a)]. 2106 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2105(a,1),1399(a,1,1)),flip(a)]. 2107 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1902(a,1),2100(a,1,1))]. 2108 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2001,a,2101,a)]. 2109 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2097(a,2),2107(a,1,2,1))]. 2110 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(285,a,1977,a(flip),b,2108,a),flip(a)]. 2111 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2109(a,1),925(a,1,1))]. 2112 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1951(a,1),2111(a,1,2))]. 2113 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1951(a,1),2112(a,2,1,2))]. 2114 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1874(a,1),2113(a,2,1))]. 2116 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(66,a,1245,a(flip),b,966,a)]. 2117 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [hyper(124,a,966,a(flip),b,358,a(flip))]. 2118 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(2117(a,1),46(a,1)),flip(a)]. 2119 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(66,a,846,a(flip),b,970,a),flip(a)]. 2120 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2119(a,1),818(a,1,2))]. 2121 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(684(a,1),1419(a,1,1)),flip(a)]. 2122 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(745(a,1),1780(a,1,1))]. 2123 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1027(a,1),2122(a,1,1))]. 2124 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1775(a,1),2123(a,1,2))]. 2125 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(66,a,30,a,b,2124,a)]. 2126 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1772(a,1),2125(a,1,1))]. 2127 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(66,a,1027,a,b,2126,a)]. 2128 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2126(a,1),1712(a,1,2))]. 2129 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(66,a,1781,a(flip),b,2127,a),flip(a)]. 2130 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(285,a,472,a(flip),b,1939,a),flip(a)]. 2131 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(66,a,938,a(flip),b,2130,a)]. 2132 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1873(a,1),2131(a,1,2,2,1,2))]. 2133 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(329(a,1),2132(a,1,2,2,1))]. 2134 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(222(a,1),2133(a,1,2)),flip(a)]. 2135 T(x,L(x \ 1,y,z) * x) = x. [hyper(225,a,2134,a)]. 2136 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(357(a,1),2135(a,1,2,1))]. 2137 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(90(a,1),2136(a,1,2,1))]. 2138 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2137(a,1),727(a,1,1))]. 2139 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2138(a,1),1169(a,1,1))]. 2140 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1602(a,1),2139(a,1,2))]. 2141 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(386,a,2140,a)]. 2142 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1625(a,1),2141(a,1,2,1)),flip(a)]. 2143 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(231(a,1),2142(a,2,2))]. 2144 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1625(a,1),2143(a,1,2))]. 2145 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(683(a,1),2116(a,1,2)),flip(a)]. 2146 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2104(a,1),1361(a,1,2,1,2))]. 2147 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(326(a,1),2146(a,1,2,1)),flip(a)]. 2148 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(57,a,2147,a)]. 2149 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(285,a,90,a(flip),b,2148,a),flip(a)]. 2150 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(90(a,1),2149(a,1,1))]. 2151 T(x,x * T(1 / x,y)) = x. [para(90(a,1),2150(a,1,2,1))]. 2152 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(57,a,2151,a)]. 2154 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,1529,a,b,2152,a)]. 2155 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(27(a,2),1412(a,1,1,2,2,1,2)),flip(a)]. 2156 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1651(a,1),1447(a,1,2,1))]. 2157 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1156(a,1),2156(a,1,2)),flip(a)]. 2158 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2157(a,1),1655(a,1,2))]. 2159 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(386,a,2158,a)]. 2160 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(66,a,32,a,b,2159,a)]. 2161 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(285,a,32,a,b,2160,a),flip(a)]. 2162 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2144(a,2),2161(a,1,1))]. 2163 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(84(a,1),1449(a,1,1)),flip(a)]. 2164 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(116(a,1),2163(a,1,1))]. 2166 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(14(a,1),2164(a,1,1,1)),flip(a)]. 2167 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2164(a,1),47(a,1))]. 2168 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(87(a,1),2164(a,1,2)),flip(a)]. 2169 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2166(a,2),47(a,1))]. 2170 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(87(a,1),2168(a,1,1,2)),flip(a)]. 2172 T(((x \ 1) \ y) * (x \ 1),x) = x \ T(y * x,x \ 1). [hyper(224,a,2170,a,b,15,a)]. 2174 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(915(a,1),2170(a,1,1)),flip(a)]. 2175 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(931(a,1),2174(a,1,1)),flip(a)]. 2176 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(118(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(630,a,2176,a),flip(a)]. 2178 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(14(a,1),2177(a,1,1,2)),flip(a)]. 2179 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [hyper(138,a,2178,a)]. 2180 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [hyper(124,a,182,a(flip),b,2178,a),flip(a)]. 2181 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(14(a,1),2179(a,1,2,1)),flip(a)]. 2182 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(97(a,1),2179(a,1,2,1)),flip(a)]. 2183 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2179(a,1),429(a,1,2))]. 2184 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [hyper(124,a,2181,a(flip),b,27,a(flip)),flip(a)]. 2185 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(285,a,242,a(flip),b,2184,a),flip(a)]. 2186 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(123,a,242,a(flip),b,2184,a)]. 2187 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(17(a,1),2186(a,1,1,1)),flip(a)]. 2188 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(247(a,1),2186(a,1,1,1))]. 2189 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(66,a,508,a(flip),b,2188,a),flip(a)]. 2190 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(2189(a,2),47(a,1))]. 2191 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1080(a,1),1724(a,1,2,1)),flip(a)]. 2192 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2191,a),flip(a)]. 2193 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2192(a,1),46(a,1))]. 2194 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),1742(a,1,2,1)),flip(a)]. 2195 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2194,a),flip(a)]. 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1764(a,1),1766(a,1,2)),flip(a)]. 2197 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(122,a,14,a(flip),b,2196,a)]. 2199 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1281(a,2),2197(a,1,1,2))]. 2200 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1281(a,2),2199(a,1,2))]. 2201 K(x,y) / (y \ 1) = y * K(x,y). [hyper(185,a,2200,a)]. 2202 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(138,a,2200,a)]. 2203 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2200(a,1),300(a,1,2))]. 2204 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2201(a,1),841(a,1,1)),flip(a)]. 2205 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2202(a,1),2121(a,1,1))]. 2206 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(285,a,244,a(flip),b,1767,a),flip(a)]. 2207 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1764(a,1),2206(a,1,1)),flip(a)]. 2208 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1266(a,2),2207(a,1,1)),flip(a)]. 2209 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1266(a,2),2208(a,1,1,2)),flip(a)]. 2210 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1887(a,1,2,2))]. 2211 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),1920(a,1,2,1,1))]. 2212 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2034(a,1),2036(a,1,2,1)),flip(a)]. 2213 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(17(a,1),2070(a,2,2,1,2,1))]. 2214 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(135,a,2213,a)]. 2215 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(12(a,1),2214(a,1,1,2,1,2,2)),flip(a)]. 2216 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2105(a,1),2106(a,2,2,1,1))]. 2217 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(285,a,883,a(flip),b,2216,a),flip(a)]. 2219 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(883(a,1),2217(a,1,1))]. 2220 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(57,a,2219,a)]. 2221 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2219(a,1),699(a,1,1)),flip(a)]. 2222 K(K(x,y),y \ T(y,z)) = 1. [hyper(58,a,2220,a)]. 2223 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1502(a,1),2222(a,1,2,2))]. 2224 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(27(a,2),2223(a,1,2))]. 2225 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(285,a,698,a,b,2221,a),flip(a)]. 2227 T(K(x,y),K(z,x)) = K(x,y). [para(21(a,2),2225(a,1,1))]. 2228 T(K(x,y),K(y,z)) = K(x,y). [hyper(57,a,2227,a)]. 2229 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(124,a,2227,a(flip),b,27,a(flip)),flip(a)]. 2230 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(2227(a,1),52(a,1)),flip(a)]. 2232 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2227(a,1),263(a,1,2))]. 2233 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2227(a,1),222(a,1,2,1)),flip(a)]. 2234 x \ y != K(z,u) * K(u,w) | x * (K(u,w) * K(z,u)) = y. [para(2227(a,1),533(a,2,2))]. 2235 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(2228(a,1),52(a,1)),flip(a)]. 2236 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2228(a,1),263(a,1,2))]. 2237 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2228(a,1),221(a,1,2,1)),flip(a)]. 2238 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2228(a,1),222(a,1,2,1)),flip(a)]. 2239 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2228(a,1),223(a,1,2,1)),flip(a)]. 2240 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2228(a,1),383(a,1,2,1))]. 2241 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2228(a,1),384(a,1,2,1))]. 2243 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1947(a,1),2110(a,1,1))]. 2244 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(949(a,1),2243(a,1,2))]. 2245 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(897(a,1),2211(a,2,2))]. 2246 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(285,a,1438,a(flip),b,2245,a),flip(a)]. 2247 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(688,a,2246,a),flip(a)]. 2248 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(124,a,2246,a(flip),b,845,a),flip(a)]. 2249 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(14(a,1),2246(a,1,2,1)),flip(a)]. 2251 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(118(a,1),2247(a,2,1))]. 2252 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2249(a,2),2000(a,1,2))]. 2253 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1985,a,2251,a)]. 2254 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(124,a,2251,a(flip),b,1984,a(flip))]. 2255 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(37,a,1912,a(flip),b,2254,a),flip(a)]. 2256 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(14(a,1),2254(a,1,2,1)),flip(a)]. 2257 R(x,y,K(x,x \ 1)) = x. [hyper(475,a,2256,a)]. 2258 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2257(a,1),32(a,2,1))]. 2259 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2257(a,1,3))]. 2260 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(66,a,1983,a(flip),b,2258,a),flip(a)]. 2262 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1906(a,1),2260(a,1,2,2))]. 2263 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2024(a,2),2260(a,1,2)),flip(a)]. 2265 (1 / x) * (y * K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2259(a,1),262(a,1,1))]. 2266 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2263(a,1),214(a,1,2,1))]. 2267 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(263,a,2252,a)]. 2268 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2252(a,1),263(a,1))]. 2269 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2267,a)]. 2270 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2269(a,1,3))]. 2271 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2270(a,1),30(a,2,1))]. 2272 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(436(a,1),2248(a,1,1,1)),flip(a)]. 2273 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(436(a,1),2272(a,1,1)),flip(a)]. 2274 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2273(a,2),1454(a,1,2))]. 2275 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(263,a,2274,a)]. 2276 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2275,a)]. 2277 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2276(a,1),30(a,2,1))]. 2278 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(66,a,1795,a(flip),b,2277,a)]. 2280 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(285,a,471,a(flip),b,678,a),flip(a)]. 2281 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1072,a,2280,a)]. 2282 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(116(a,1),2281(a,1,2)),flip(a)]. 2283 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(66,a,1598,a(flip),b,959,a)]. 2285 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2283(a,1),798(a,1,1)),flip(a)]. 2286 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | x * L(x \ 1,L(x,y,z),1 / x) = u. [para(2285(a,2),787(a,1))]. 2287 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1072,a,1272,a),flip(a)]. 2288 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(684(a,1),2287(a,2,2))]. 2289 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2288,a)]. 2290 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2289,a)]. 2291 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(85(a,1),2289(a,2,1,2))]. 2292 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(883(a,1),2289(a,1,1))]. 2293 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(16(a,1),2292(a,2,1,2))]. 2294 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(408(a,1),2292(a,2,1,2))]. 2295 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2029(a,2),2294(a,1,1))]. 2296 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1329(a,1),1294(a,2,1))]. 2297 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1357(a,1),2296(a,2,1,1))]. 2298 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(285,a,25,a,b,2297,a)]. 2299 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2298,a)]. 2300 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(85(a,1),2298(a,2,1,2))]. 2301 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1159(a,1),2298(a,2,1,2))]. 2302 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(263,a,2299,a),flip(a)]. 2303 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2300(a,1),112(a,1,1))]. 2304 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(2286,a,1542,a)]. 2305 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(827(a,1),1251(a,1,2)),flip(a)]. 2306 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(27(a,2),1467(a,1,1))]. 2307 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2263(a,1),2306(a,2,2))]. 2308 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),1495(a,1,2,1,1))]. 2309 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1486(a,1),1639(a,1,1))]. 2310 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2162(a,1),2309(a,1,1))]. 2311 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1625(a,1),2310(a,2,1))]. 2313 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2311(a,2),629(a,1))]. 2314 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),1840(a,1,1))]. 2315 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),2314(a,1,2,1,1))]. 2316 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(285,a,1606,a(flip),b,2308,a),flip(a)]. 2317 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1318(a,1),2316(a,2,1))]. 2318 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(285,a,473,a(flip),b,782,a),flip(a)]. 2319 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1194,a,2318,a)]. 2320 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1373(a,1),2319(a,2,1,1))]. 2321 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(32(a,2),1343(a,2,2,2))]. 2322 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(591(a,1),2321(a,2,2))]. 2323 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(335(a,1),2322(a,2,2))]. 2324 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1804(a,1),1823(a,1,2,2)),flip(a)]. 2325 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(122,a,1807,a(flip),b,2324,a(flip)),flip(a)]. 2326 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(901(a,1),1875(a,1,2)),flip(a)]. 2327 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1866(a,1),2326(a,1,2,1,2))]. 2328 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(326(a,1),2327(a,1,2,1)),flip(a)]. 2329 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),23(a,2,1)),flip(a)]. 2330 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),1078(a,1,1))]. 2331 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(883(a,1),2204(a,2,2))]. 2332 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2201(a,1),2331(a,1,2,1,2))]. 2333 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(27(a,2),2332(a,1,2,1))]. 2334 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1590(a,1),2293(a,1,1,2)),flip(a)]. 2335 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(79(a,1),2334(a,2,1))]. 2336 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(285,a,345,a(flip),b,2335,a),flip(a)]. 2339 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(124,a,2336,a(flip),b,97,a),flip(a)]. 2340 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(285,a,13,a(flip),b,2339,a),flip(a)]. 2341 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(947(a,1),1143(a,1,1)),flip(a)]. 2342 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(66,a,574,a(flip),b,2341,a),flip(a)]. 2343 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(285,a,1281,a,b,1282,a),flip(a)]. 2344 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(203(a,1),2343(a,1,2,1))]. 2346 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2344(a,1),630(a,1,1))]. 2347 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1638(a,1),1544(a,1,2,1))]. 2348 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(16(a,1),2347(a,1,2)),flip(a)]. 2350 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(319(a,1),1691(a,1,1,1,2))]. 2351 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(90(a,1),2350(a,1,2)),flip(a)]. 2353 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(209(a,1),2351(a,1,2)),flip(a)]. 2354 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(209(a,1),2353(a,1,1)),flip(a)]. 2355 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(123,a,249,a(flip),b,2354,a),flip(a)]. 2356 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(627,a,2355,a)]. 2357 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2356(a,1),48(a,1))]. 2358 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(790(a,1),1793(a,2,1))]. 2359 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(285,a,2305,a(flip),b,2358,a),flip(a)]. 2360 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1471(a,1),1794(a,2,2,1))]. 2361 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(16(a,1),2360(a,2,2))]. 2362 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(124,a,2361,a(flip),b,2359,a(flip))]. 2364 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(222(a,1),1797(a,1,2,1))]. 2365 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1029(a,1),2055(a,2,2,1))]. 2366 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1548(a,1),2365(a,1,1)),flip(a)]. 2367 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(66,a,1722,a(flip),b,2366,a)]. 2368 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1936,a,2367,a)]. 2369 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(285,a,1835,a,b,2368,a)]. 2370 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2368(a,2),52(a,1)),flip(a)]. 2371 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(37,a,1903,a(flip),b,2369,a),flip(a)]. 2373 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(249(a,1),2371(a,1,2))]. 2374 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1236(a,1),2373(a,1,1))]. 2375 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(66,a,1808,a(flip),b,2374,a),flip(a)]. 2376 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(180,a,2375,a),flip(a)]. 2377 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(117(a,1),2375(a,1,2,1))]. 2378 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(324(a,1),2375(a,1,2,1)),flip(a)]. 2379 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(66,a,615,a(flip),b,2376,a)]. 2380 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(90(a,1),2377(a,1,2,1,1))]. 2381 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(185,a,2378,a)]. 2382 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(124,a,2379,a(flip),b,27,a(flip))]. 2383 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(90(a,1),2379(a,1,1,1)),flip(a)]. 2384 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(118(a,1),2379(a,2,1,1))]. 2386 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(66,a,1874,a,b,2381,a)]. 2387 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(118(a,1),2381(a,1,2,2)),flip(a)]. 2388 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(687,a,2382,a)]. 2389 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(118(a,1),2382(a,1,2,1,1)),flip(a)]. 2391 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(285,a,1965,a,b,2388,a),flip(a)]. 2392 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2388,a),flip(a)]. 2393 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2388(a,1),1009(a,1,2))]. 2394 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2059,a,2391,a)]. 2395 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2370,a,2394,a),flip(a)]. 2396 K(K(x,x \ 1),y) = 1. [hyper(58,a,2394,a)]. 2397 T(x,K(y,y \ 1)) = x. [hyper(57,a,2394,a)]. 2398 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(124,a,2394,a(flip),b,27,a(flip)),flip(a)]. 2399 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(122,a,2394,a(flip),b,2057,a)]. 2401 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2394(a,1),263(a,1,2))]. 2402 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2394(a,1),219(a,1,1,2))]. 2404 K(K(x \ 1,x),y) = 1. [para(1906(a,1),2396(a,1,1))]. 2405 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2397(a,1),263(a,1,2))]. 2407 T(x,K(y \ 1,y)) = x. [para(1906(a,1),2397(a,1,2))]. 2408 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(59,a,2404,a)]. 2409 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2169,a,2407,a),flip(a)]. 2411 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2407(a,1),227(a,1,2))]. 2412 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2407(a,1),263(a,1,2))]. 2413 x \ y != K(z \ 1,z) * u | x * (u * K(z \ 1,z)) = y. [para(2407(a,1),533(a,2,2))]. 2414 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(66,a,1401,a,b,2408,a)]. 2415 T((x \ 1) * x,y) = K(x \ 1,x). [para(243(a,1),2408(a,1,1))]. 2416 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2408(a,1),263(a,1,2))]. 2418 x \ y != z * K(u \ 1,u) | x * (K(u \ 1,u) * z) = y. [para(2408(a,1),533(a,2,2))]. 2420 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(122,a,2398,a(flip),b,446,a)]. 2421 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2398(a,2),462(a,1,2))]. 2422 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1942,a,2409,a),flip(a)]. 2423 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(764,a,2409,a),flip(a)]. 2424 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(285,a,1076,a(flip),b,2409,a),flip(a)]. 2425 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(124,a,2409,a,b,14,a)]. 2426 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(122,a,481,a(flip),b,2409,a)]. 2427 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2409(a,1),103(a,1,1))]. 2428 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2409(a,2),462(a,1,2))]. 2429 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2409(a,2),327(a,1,1))]. 2430 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2409(a,1),2273(a,1,1))]. 2431 T(x,y * K(x \ 1,x)) = T(x,y). [para(2409(a,1),2278(a,1,2))]. 2432 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2408(a,2),2409(a,2,2)),flip(a)]. 2434 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2414(a,1),1115(a,1,1))]. 2435 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(254,a,2384,a)]. 2436 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [hyper(124,a,2387,a(flip),b,27,a(flip)),flip(a)]. 2437 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(612,a,2393,a)]. 2443 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(37,a,628,a(flip),b,2389,a(flip))]. 2445 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(113(a,2),2389(a,1,1,1,1))]. 2446 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1570(a,1),2424(a,2,2))]. 2447 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2424(a,1),2412(a,1))]. 2449 x * (K(y \ 1,y) * z) != x * u | z * K(y \ 1,y) = u. [para(2425(a,2),46(a,1))]. 2450 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(2425(a,2),647(a,1,2))]. 2451 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(14(a,1),2435(a,1,1,2,1,1))]. 2452 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2435(a,1),236(a,1,1)),flip(b)]. 2453 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(105(a,2),2436(a,2,2,2,2))]. 2454 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(14(a,1),2443(a,2,1,1))]. 2455 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2454,a),flip(a)]. 2457 T(x,y / (y * x)) = T(x,x \ 1). [hyper(66,a,1990,a(flip),b,2455,a)]. 2459 T(1 / (1 / x),y / (y * x)) = x. [hyper(1870,a,2457,a(flip))]. 2460 T(1 / (1 / x),(y / x) / y) = x. [para(17(a,1),2459(a,1,2,2))]. 2461 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2460(a,1),210(a,1,2,2))]. 2462 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1744(a,2),2461(a,1,2))]. 2465 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(768,a,2429,a)]. 2467 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2422(a,1),1460(a,1,1))]. 2468 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(66,a,1743,a(flip),b,2467,a)]. 2470 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(243(a,2),2468(a,1,1))]. 2471 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(66,a,2244,a(flip),b,2470,a),flip(a)]. 2472 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(285,a,1759,a(flip),b,2471,a),flip(a)]. 2473 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(38,a,2467,a,b,2472,a(flip))]. 2474 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(285,a,203,a(flip),b,2473,a)]. 2475 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(203(a,1),2474(a,2,2,2)),flip(a)]. 2476 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(285,a,13,a,b,2475,a),flip(a)]. 2477 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(128,a,2475,a)]. 2478 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2477(a,1),268(a,1,1))]. 2479 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(2118,a,2476,a(flip))]. 2480 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(122,a,2479,a(flip),b,2145,a(flip)),flip(a)]. 2482 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(285,a,117,a,b,2480,a),flip(a)]. 2483 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(123,a,2480,a(flip),b,2028,a),flip(a)]. 2484 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(15(a,1),2480(a,1,2,1))]. 2485 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(203(a,2),2480(a,1,2))]. 2486 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(96(a,1),2482(a,1,2,1))]. 2487 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(285,a,1876,a(flip),b,2483,a),flip(a)]. 2490 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(15(a,1),2487(a,1,2,1)),flip(a)]. 2491 K(x,y \ (y / x)) = K(x,x \ 1). [para(17(a,1),2487(a,1,2,1))]. 2492 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1033(a,2),2487(a,1,2,1))]. 2493 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2487(a,2),1951(a,1,1))]. 2494 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2487(a,2),2394(a,1,1))]. 2495 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(66,a,626,a,b,2491,a)]. 2497 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(90(a,1),2484(a,1,2))]. 2498 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2484(a,1),263(a,1,2))]. 2499 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2484(a,1),897(a,1,2)),flip(a)]. 2500 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2484(a,1),1264(a,1,2)),flip(a)]. 2501 T((x \ y) \ 1,x \ y) = T(x \ y,y \ x) \ 1. [para(2484(a,2),1899(a,2,1))]. 2502 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2494(a,1),2295(a,1,1))]. 2503 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(122,a,2490,a(flip),b,1903,a(flip))]. 2504 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(14(a,1),2490(a,2,2))]. 2505 T(x,K(y \ z,z \ y)) = x. [para(2490(a,1),2397(a,1,2))]. 2506 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2169,a,2505,a),flip(a)]. 2507 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(2497(a,1),1417(a,1,1,2))]. 2508 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(21(a,2),2486(a,1,2)),flip(a)]. 2509 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(632,a,2508,a),flip(a)]. 2510 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(66,a,2228,a(flip),b,2509,a),flip(a)]. 2515 1 / (1 / K(x,y)) = K(x,y). [para(2510(a,1),181(a,1,2,2))]. 2516 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2502(a,2),401(a,1,1)),flip(a)]. 2518 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(746(a,1),2492(a,1,2))]. 2519 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2490,a(flip),b,2518,a),flip(a)]. 2520 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(355(a,1),2478(a,2,1))]. 2521 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(66,a,2504,a(flip),b,2516,a)]. 2522 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),2507(a,2,2,2,1,2))]. 2524 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(325(a,1),2522(a,2,2))]. 2525 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2426(a,1),2465(a,1,1,2))]. 2526 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(66,a,2436,a(flip),b,2453,a),flip(a)]. 2527 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(285,a,411,a(flip),b,1613,a),flip(a)]. 2528 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(223(a,1),2527(a,2,2))]. 2529 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2262(a,1),2004(a,1,2,2,2)),flip(a)]. 2530 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2397(a,1),2420(a,1,2,1,1))]. 2531 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(16(a,1),1415(a,1,1))]. 2532 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(16(a,1),2531(a,1,2,1,1)),flip(a)]. 2533 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(14(a,1),2532(a,2,2,1))]. 2534 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(17(a,1),2533(a,1,1,1))]. 2535 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1801(a,2,1))]. 2536 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(285,a,1158,a(flip),b,2535,a),flip(a)]. 2538 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),2536(a,1,1))]. 2539 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(57,a,2538,a)]. 2540 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1732(a,1),2266(a,1,2))]. 2541 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(721,a,2540,a),flip(a)]. 2542 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(66,a,2307,a(flip),b,2541,a)]. 2543 K(x,y / (x * y)) = K(x,x \ 1). [hyper(66,a,1966,a(flip),b,2542,a),flip(a)]. 2545 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(17(a,1),2543(a,1,2,2)),flip(a)]. 2546 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(16(a,1),2545(a,2,2))]. 2547 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1196(a,1,2,1,1))]. 2548 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1194,a,2547,a),flip(a)]. 2549 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(820(a,1),2548(a,2,2))]. 2550 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(445,a,2549,a),flip(a)]. 2551 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(66,a,1250,a(flip),b,2550,a),flip(a)]. 2552 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1601(a,1),2551(a,1,1,2)),flip(a)]. 2553 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(285,a,2291,a(flip),b,2552,a),flip(a)]. 2554 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(38,a,243,a(flip),b,2553,a),flip(a)]. 2555 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(90(a,1),2554(a,1,1))]. 2556 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(949(a,1),2555(a,1,2))]. 2557 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(136,a,2556,a)]. 2558 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(38,a,2340,a,b,2557,a)]. 2560 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1506(a,1),2558(a,1,1)),flip(a)]. 2561 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(285,a,2062,a(flip),b,2066,a),flip(a)]. 2562 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(886(a,1),1689(a,1,1,1))]. 2563 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(243(a,2),2562(a,1,2,2))]. 2564 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1927(a,1),2301(a,1,1,2,1))]. 2565 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1652(a,1),2564(a,1,1,2)),flip(a)]. 2567 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(25(a,2),1515(a,2,2,1,1))]. 2568 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1532(a,1),2567(a,1,1))]. 2569 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1610(a,1),2568(a,1,1,1))]. 2570 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(479,a,2569,a),flip(a)]. 2572 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(66,a,1160,a(flip),b,2570,a),flip(a)]. 2573 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1654(a,1),2572(a,1,1,2)),flip(a)]. 2574 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(38,a,2302,a(flip),b,2573,a),flip(a)]. 2576 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1517(a,1,2,1,2,1))]. 2577 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(66,a,1178,a(flip),b,2576,a),flip(a)]. 2578 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1177(a,1),2577(a,2,2))]. 2579 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2578,a),flip(a)]. 2580 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(15(a,1),2579(a,1,2,1)),flip(a)]. 2581 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,1903,a,b,2580,a),flip(a)]. 2582 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1542(a,1),2581(a,1,1))]. 2583 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(23(a,2),1534(a,2,2,1,1))]. 2584 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(937(a,1),2583(a,1,2))]. 2585 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(823(a,1),2584(a,1,2,2))]. 2586 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2585,a),flip(a)]. 2588 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(958(a,1),2586(a,1,2))]. 2589 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1880(a,1),2586(a,2,1,2))]. 2591 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(13(a,1),2588(a,1,2,2)),flip(a)]. 2592 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2304(a,1),2591(a,1,1)),flip(a)]. 2593 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,2582,a(flip),b,2592,a),flip(a)]. 2594 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(37,a,1903,a(flip),b,2593,a),flip(a)]. 2595 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(66,a,2560,a,b,2594,a)]. 2596 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(185,a,2595,a),flip(a)]. 2597 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(87(a,1),2595(a,1,1,1,2)),flip(a)]. 2598 L(1 / (1 / x),y,z) \ ((1 / x) \ 1) = x * (1 / L(x,y,z)). [para(2595(a,1),1818(a,2,2))]. 2599 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(87(a,1),2596(a,1,1,2)),flip(a)]. 2600 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(451(a,1),2596(a,2,2,2))]. 2601 L(1 / (1 / ((x \ 1) \ y)),x \ 1,x) = 1 / (1 / (x * y)). [para(452(a,1),2596(a,2,2,2))]. 2602 L(1 / (1 / x),y / x,1 / y) = 1 / ((1 / y) * (y / x)). [para(707(a,1),2596(a,2,2))]. 2603 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2596(a,2),2526(a,1,2))]. 2604 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(180,a,2597,a)]. 2605 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(203(a,1),2599(a,1,2,2)),flip(a)]. 2606 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(357(a,1),2599(a,1,2,2)),flip(a)]. 2607 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(361(a,1),2599(a,1,2,2)),flip(a)]. 2608 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2599(a,1),1878(a,2,2))]. 2609 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(87(a,1),2605(a,1,1))]. 2610 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(87(a,1),2604(a,1,1,1,1)),flip(a)]. 2611 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(451(a,1),2610(a,2,1,1))]. 2612 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(453(a,1),2610(a,2,1,1))]. 2613 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(1899(a,2),2610(a,1,1))]. 2614 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,2362,a,b,2606,a)]. 2615 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,1603,a,b,2606,a)]. 2616 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(124,a,2607,a(flip),b,1917,a),flip(a)]. 2617 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2615(a,1),1911(a,1,2)),flip(a)]. 2618 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(37,a,1874,a,b,2614,a)]. 2619 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(285,a,625,a(flip),b,2618,a),flip(a)]. 2620 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(122,a,2618,a(flip),b,243,a(flip))]. 2621 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(78(a,1),2618(a,2,1))]. 2622 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2618(a,1),2500(a,1,2))]. 2623 T(x \ 1,y * K(x,x \ 1)) = T(x \ 1,y). [para(2621(a,1),2431(a,1,2,2))]. 2627 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2490(a,1),2617(a,1,2))]. 2628 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(66,a,2506,a,b,2627,a)]. 2629 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(66,a,2502,a,b,2619,a)]. 2630 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(285,a,2487,a(flip),b,2629,a),flip(a)]. 2631 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2629(a,1),2521(a,2,1)),flip(a)]. 2633 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1947(a,1),2630(a,1,1))]. 2634 K((x * y) \ x,y) = K(y \ 1,y). [hyper(66,a,2493,a(flip),b,2631,a),flip(a)]. 2636 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(116(a,1),2634(a,1,1,1)),flip(a)]. 2637 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(27(a,1),2636(a,2,2)),flip(a)]. 2638 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(744(a,1),2636(a,2,1,1))]. 2639 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(285,a,1947,a(flip),b,2633,a),flip(a)]. 2640 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2639(a,1),1106(a,1,2)),flip(a)]. 2641 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(123,a,16,a(flip),b,2640,a),flip(a)]. 2643 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(136,a,2641,a)]. 2644 ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). [para(2423(a,1),2641(a,1,1))]. 2645 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(66,a,1231,a,b,2643,a)]. 2646 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(16(a,1),2643(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(136,a,2645,a)]. 2648 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(66,a,153,a(flip),b,2645,a),flip(a)]. 2649 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2416,a,2646,a)]. 2650 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1105,a,2646,a)]. 2651 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2650(a,1,3))]. 2652 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(66,a,1930,a(flip),b,2651,a)]. 2653 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2651(a,1),1929(a,1,1)),flip(a)]. 2654 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2416,a,2648,a)]. 2656 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(285,a,886,a(flip),b,2649,a),flip(a)]. 2658 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(66,a,1982,a(flip),b,2652,a)]. 2659 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2401,a,2653,a)]. 2660 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(66,a,2616,a(flip),b,2658,a)]. 2661 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(122,a,2658,a(flip),b,2616,a(flip)),flip(a)]. 2662 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2656(a,1),2330(a,1,2)),flip(a)]. 2663 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(87(a,1),2660(a,1,2,2,2,2)),flip(a)]. 2664 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(180,a,2661,a)]. 2665 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(87(a,1),2661(a,2,2,2,2))]. 2666 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(14(a,1),2663(a,2,2,2,2))]. 2667 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(181(a,1),2664(a,1,1,2,2)),flip(a)]. 2668 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2609(a,2),2666(a,1,2))]. 2669 x / L(y,y \ 1,x) = x * (1 / y). [para(87(a,1),2668(a,2,2,2))]. 2671 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(554,a,2669,a)]. 2672 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2669(a,2),625(a,1,1,2))]. 2673 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(87(a,1),2671(a,1,2)),flip(a)]. 2674 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(117(a,2),2673(a,1,2))]. 2675 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2674(a,1),2613(a,2,1,1))]. 2676 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(66,a,2292,a,b,2672,a)]. 2677 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(66,a,2289,a,b,2672,a)]. 2678 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(66,a,106,a,b,2677,a)]. 2679 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(90(a,1),2677(a,1,2))]. 2680 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(180,a,2667,a)]. 2682 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(66,a,2497,a,b,2680,a)]. 2683 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(124,a,2497,a,b,2680,a(flip))]. 2684 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [hyper(124,a,2682,a(flip),b,27,a(flip))]. 2685 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2447,a,2683,a)]. 2686 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(66,a,2424,a,b,2683,a)]. 2687 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(16(a,1),2685(a,1,1)),flip(a)]. 2688 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2685(a,1),1458(a,1,1))]. 2689 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(136,a,2687,a)]. 2690 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2376(a,2),2687(a,1,2))]. 2691 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(16(a,1),2688(a,1,1)),flip(a)]. 2692 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(117(a,2),2688(a,1,1,2))]. 2693 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(611(a,1),2688(a,1,1)),flip(a)]. 2694 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(924(a,1),2688(a,1,1)),flip(a)]. 2695 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2689(a,1),47(a,1)),flip(a)]. 2697 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2409(a,2),2689(a,1,1))]. 2698 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2646(a,1),2689(a,1,1))]. 2699 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(38,a,481,a,b,2691,a),flip(a)]. 2700 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2691(a,1),2647(a,1,1)),flip(a)]. 2701 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(135,a,2692,a)]. 2702 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2416,a,2693,a)]. 2703 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2342(a,1),2693(a,1,1))]. 2704 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2697(a,1),47(a,1)),flip(a)]. 2706 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(482,a,2699,a)]. 2707 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2699(a,1),202(a,1,2)),flip(a)]. 2708 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1959(a,2),2699(a,1,2))]. 2709 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(66,a,2699,a(flip),b,2698,a),flip(a)]. 2710 R(x,y \ 1,y) / y = x * (1 / y). [hyper(123,a,2699,a(flip),b,2698,a(flip))]. 2712 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2709,a)]. 2713 R(x / (1 / y),y \ 1,y) = x * y. [hyper(293,a,2709,a),flip(a)]. 2714 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2709(a,1),206(a,1,2))]. 2716 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2085(a,1),2709(a,1,1))]. 2717 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2647(a,1),2709(a,1,1)),flip(a)]. 2718 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(285,a,2706,a,b,2712,a)]. 2719 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(66,a,572,a(flip),b,2712,a),flip(a)]. 2720 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(87(a,1),2712(a,1,2)),flip(a)]. 2721 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2713(a,1),1662(a,1,1,2))]. 2722 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2714(a,1),2525(a,1,1))]. 2723 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1899(a,2),2718(a,1,3))]. 2724 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1974(a,1),2700(a,1,1))]. 2725 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(285,a,2714,a(flip),b,2707,a),flip(a)]. 2726 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(87(a,1),2676(a,2,1)),flip(a)]. 2728 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(886(a,2),2726(a,2,1))]. 2729 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2726(a,2),1084(a,2,2))]. 2730 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1431(a,1),2717(a,2,1))]. 2731 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2637(a,1),2622(a,1,2)),flip(a)]. 2732 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(122,a,2600,a(flip),b,244,a)]. 2733 (x \ 1) * (1 / (1 / ((x \ 1) \ y))) = x \ (1 / (1 / (x * y))). [hyper(122,a,2601,a(flip),b,242,a),flip(a)]. 2734 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(122,a,2611,a(flip),b,244,a)]. 2735 L(x / (y \ 1),y \ 1,y) = L(x,y,y \ 1) / (1 / y). [hyper(66,a,791,a(flip),b,2644,a)]. 2736 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(901(a,1),2679(a,1,1))]. 2737 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(66,a,792,a(flip),b,2736,a),flip(a)]. 2738 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(136,a,2737,a(flip))]. 2739 T(K(1 / (1 / x),y),x) = K(x,y). [para(2737(a,2),208(a,1,1))]. 2740 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(249(a,1),2739(a,1,1,1,2))]. 2741 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2739(a,1),919(a,2,2))]. 2742 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(66,a,1694,a,b,2738,a)]. 2743 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(87(a,1),2740(a,1,1,1))]. 2745 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(66,a,2022,a(flip),b,2743,a),flip(a)]. 2746 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(117(a,1),2745(a,1,1)),flip(a)]. 2747 x * K((x \ 1) \ 1,y) = K(x,y) * x. [hyper(124,a,2746,a(flip),b,27,a(flip))]. 2748 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(90(a,1),2747(a,1,2,1,1)),flip(a)]. 2749 L(1 / (1 / x),y / x,1 / y) \ ((1 / x) \ 1) = x * ((1 / y) * (y / x)). [para(707(a,1),2598(a,2,2))]. 2750 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2675(a,1),1933(a,1,2))]. 2751 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2750(a,1),1404(a,2,1,2))]. 2752 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(87(a,1),2723(a,2,2))]. 2754 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(117(a,2),2752(a,1,2))]. 2755 x * K(x \ (y \ 1),(y \ 1) \ x) = y \ (1 / (1 / (y * x))). [hyper(66,a,2627,a,b,2733,a)]. 2756 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(285,a,2622,a,b,2734,a),flip(a)]. 2757 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2742(a,1),2741(a,1,1,2))]. 2758 (1 / x) \ K(x,y) = K(x,y) * x. [para(14(a,1),2757(a,1,1)),flip(a)]. 2761 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2484(a,2),2612(a,1,1))]. 2762 K(x,y) / (x \ 1) = x * K(x,y). [para(2728(a,2),2729(a,1,1))]. 2763 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(136,a,2762,a)]. 2764 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(285,a,625,a(flip),b,2751,a),flip(a)]. 2766 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(117(a,1),2764(a,2,1))]. 2767 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(203(a,1),2766(a,1,2,1))]. 2769 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2767(a,1),2346(a,1))]. 2770 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2713(a,1),2721(a,1,2,2))]. 2771 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(66,a,695,a(flip),b,2761,a)]. 2772 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(66,a,566,a(flip),b,2761,a)]. 2773 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(78(a,1),2772(a,2,1,1))]. 2774 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(19(a,2),2771(a,1,1))]. 2775 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(285,a,1848,a(flip),b,2724,a),flip(a)]. 2777 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(123,a,87,a(flip),b,2775,a),flip(a)]. 2778 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(87(a,1),2777(a,1,2)),flip(a)]. 2780 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2778(a,1),1466(a,1,2,1,2))]. 2781 (1 / ((1 / x) * (x / y))) \ ((1 / y) \ 1) = y * ((1 / x) * (x / y)). [para(2602(a,1),2749(a,1,1))]. 2782 (1 / ((1 / x) * (x / y))) \ y = y * ((1 / x) * (x / y)). [para(90(a,1),2781(a,1,2))]. 2783 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(265,a,2603,a),flip(a)]. 2784 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(15(a,1),2783(a,1,2,2,2,2))]. 2786 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2662(a,2),888(a,1))]. 2787 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(23(a,2),2774(a,1,2,2))]. 2788 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(19(a,2),2787(a,2,1,1))]. 2789 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1036(a,1),2638(a,2,1))]. 2790 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2519,a(flip),b,2789,a),flip(a)]. 2791 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(14(a,1),2780(a,1,2,1)),flip(a)]. 2792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(25(a,2),1605(a,2,2,1,1))]. 2793 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1550(a,1),2792(a,1,1))]. 2794 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1586(a,1),2793(a,1,1,1))]. 2795 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(479,a,2794,a),flip(a)]. 2796 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(693(a,1),2795(a,2,1,2))]. 2797 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1627(a,1),2795(a,1,2))]. 2798 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1162(a,1),2796(a,1,2))]. 2799 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(186(a,1),2798(a,2,1,2))]. 2800 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1903(a,2),2799(a,2,1))]. 2801 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(13(a,1),2797(a,1,2,2)),flip(a)]. 2802 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(112(a,1),2046(a,1,1,1,2,2)),flip(a)]. 2803 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(285,a,798,a(flip),b,2802,a),flip(a)]. 2804 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(285,a,2043,a(flip),b,2803,a),flip(a)]. 2805 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(798(a,1),2804(a,1,1))]. 2806 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2045(a,1),2805(a,2,1))]. 2807 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(38,a,112,a,b,2806,a),flip(a)]. 2808 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1538,a,2807,a),flip(a)]. 2809 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(15(a,1),2807(a,1,2,1)),flip(a)]. 2810 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,1903,a,b,2809,a),flip(a)]. 2811 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1150(a,1),2810(a,1,1,2,1))]. 2812 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2791(a,1),1165(a,1,1,2))]. 2813 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(17(a,1),2812(a,1,1,2))]. 2815 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1157(a,1),2813(a,1,1)),flip(a)]. 2817 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(883(a,1),2205(a,2,1,2))]. 2818 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(901(a,1),1394(a,2,1))]. 2819 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(14(a,1),2818(a,1,2,1)),flip(a)]. 2820 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(285,a,826,a(flip),b,2819,a),flip(a)]. 2821 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2030(a,1),2820(a,1,1))]. 2822 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2487(a,1),2821(a,1,1))]. 2823 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2822,a(flip),b,2398,a(flip))]. 2825 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(66,a,2608,a,b,2823,a)]. 2827 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2825(a,1),1284(a,1,2)),flip(a)]. 2828 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2485(a,1),2827(a,1,2)),flip(a)]. 2830 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2401,a,2828,a)]. 2831 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(293,a,2828,a),flip(a)]. 2832 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(66,a,1979,a,b,2828,a)]. 2833 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(116(a,1),2828(a,1,1))]. 2835 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(285,a,280,a,b,2830,a),flip(a)]. 2836 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [para(17(a,1),2830(a,1,2)),flip(a)]. 2837 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(123,a,338,a(flip),b,2832,a),flip(a)]. 2838 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(38,a,2698,a(flip),b,2832,a),flip(a)]. 2839 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(38,a,2697,a(flip),b,2832,a),flip(a)]. 2840 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(38,a,2689,a(flip),b,2832,a),flip(a)]. 2841 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2704,a,2832,a(flip))]. 2842 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2695,a,2832,a(flip))]. 2844 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1888(a,2),2832(a,2,2))]. 2845 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2401,a,2839,a)]. 2846 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(38,a,2653,a,b,2839,a),flip(a)]. 2847 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(38,a,2398,a(flip),b,2839,a),flip(a)]. 2848 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(38,a,2024,a(flip),b,2839,a),flip(a)]. 2849 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2654(a,1),2839(a,1,1))]. 2850 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2401,a,2840,a)]. 2851 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(293,a,2840,a),flip(a)]. 2852 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(287,a,2840,a)]. 2853 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(38,a,2653,a,b,2840,a),flip(a)]. 2854 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(38,a,2398,a(flip),b,2840,a),flip(a)]. 2855 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2841(a,1),46(a,1)),flip(a)]. 2856 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2841(a,1),105(a,2,1))]. 2857 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(303,a,2845,a),flip(a)]. 2858 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2845(a,1),46(a,1)),flip(a)]. 2859 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2845(a,1),2449(a,1)),flip(a)]. 2860 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2649(a,1),2845(a,1,2))]. 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2654(a,1),2845(a,1,2))]. 2862 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2847(a,1),46(a,1)),flip(a)]. 2863 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2847(a,1),2411(a,1)),flip(a)]. 2864 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(66,a,2640,a,b,2851,a)]. 2865 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2854(a,1),113(a,2,1))]. 2866 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2854(a,1),2647(a,1,1)),flip(a)]. 2867 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2857(a,1),2317(a,1,2,1))]. 2868 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2268,a,2835,a)]. 2869 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(285,a,1960,a(flip),b,2835,a),flip(a)]. 2870 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2835(a,2),1961(a,1))]. 2871 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2836(a,1),2703(a,1,1,1))]. 2872 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2838(a,1),469(a,1,1))]. 2873 K(x / (y * x),y) = K(y \ 1,y). [hyper(38,a,2018,a,b,2848,a)]. 2874 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(66,a,2546,a,b,2873,a)]. 2875 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(17(a,1),2873(a,1,1,2)),flip(a)]. 2877 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(16(a,1),2875(a,2,1))]. 2878 L(x,K(x,x \ 1),y) = x. [hyper(445,a,2844,a)]. 2879 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2878(a,1,2))]. 2880 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2879(a,1),2529(a,1,1)),flip(a)]. 2883 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2874(a,1),1888(a,1,1))]. 2884 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(285,a,2543,a(flip),b,2877,a),flip(a)]. 2886 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2884(a,1),1958(a,1,1))]. 2887 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2405,a,2886,a)]. 2888 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2886,a),flip(a)]. 2889 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(123,a,2886,a(flip),b,1999,a(flip))]. 2890 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(242(a,1),2886(a,1,2))]. 2892 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2887,a),flip(a)]. 2893 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(303,a,2888,a),flip(a)]. 2894 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(66,a,2857,a,b,2888,a)]. 2895 K(x * y,(x * y) \ 1) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(96(a,1),2888(a,1,2))]. 2896 R(x,K(x,x \ 1),y) = x. [hyper(1969,a,2889,a)]. 2897 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [para(2889(a,1),269(a,1,1)),flip(a)]. 2899 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2896(a,1,2))]. 2900 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2899(a,1),2299(a,1,1)),flip(a)]. 2901 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(66,a,2256,a(flip),b,2892,a)]. 2903 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(2892(a,1),2623(a,1,2))]. 2905 ((x \ 1) \ 1) * (x \ y) = (y / x) * ((x \ 1) \ 1). [hyper(285,a,2836,a,b,2893,a),flip(a)]. 2906 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(122,a,2845,a(flip),b,2893,a),flip(a)]. 2907 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1995,a(flip),b,2893,a),flip(a)]. 2908 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2858,a,2897,a)]. 2909 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(117(a,1),2897(a,1,2,1))]. 2910 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(90(a,1),2901(a,2,1,1))]. 2911 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2839(a,1),2901(a,1,2)),flip(a)]. 2912 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [para(2838(a,1),2901(a,1,2)),flip(a)]. 2913 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(117(a,2),2906(a,2,1))]. 2914 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2621(a,1),2906(a,1,2,1))]. 2915 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(117(a,1),2908(a,2,1))]. 2916 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2908(a,1),2278(a,1,2))]. 2917 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(324(a,1),2916(a,1,2,1)),flip(a)]. 2918 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(122,a,90,a(flip),b,2909,a)]. 2919 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(642,a,2911,a)]. 2920 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(128,a,2911,a)]. 2921 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(122,a,2911,a(flip),b,2425,a(flip))]. 2922 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2686(a,1),2911(a,1,2))]. 2923 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(124,a,993,a(flip),b,2913,a)]. 2924 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2913(a,1),1790(a,1,2,2))]. 2925 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2409(a,1),2913(a,1,2))]. 2926 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(122,a,2915,a(flip),b,1140,a(flip)),flip(a)]. 2927 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2915(a,1),2697(a,1,1))]. 2929 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [hyper(124,a,2500,a(flip),b,2921,a)]. 2930 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(90(a,1),2926(a,2,2,1,1))]. 2932 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(87(a,1),2922(a,2,2))]. 2933 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(66,a,2848,a(flip),b,2883,a)]. 2934 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(205(a,2),2933(a,2,1,1)),flip(a)]. 2935 ((((x * y) / (R(z,x,y) * (x * y))) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2933(a,1),485(a,1,1))]. 2938 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1947(a,1),2910(a,1,2,2))]. 2939 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2265,a,2938,a)]. 2940 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(285,a,2407,a,b,2938,a)]. 2941 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(122,a,15,a(flip),b,2938,a),flip(a)]. 2942 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(66,a,2425,a,b,2938,a)]. 2944 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2648(a,1),2938(a,1,2))]. 2945 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2842(a,1),2938(a,1,2)),flip(a)]. 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2854(a,1),2938(a,1,2)),flip(a)]. 2947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2939,a)]. 2948 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2416,a,2939,a)]. 2949 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(513,a,2939,a),flip(a)]. 2950 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(38,a,2842,a,b,2939,a)]. 2951 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(38,a,2423,a,b,2939,a),flip(a)]. 2953 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(123,a,2939,a(flip),b,2409,a)]. 2954 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2939(a,1),2431(a,1,2)),flip(a)]. 2955 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2939(a,1),2411(a,2)),flip(b)]. 2956 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2939(a,1),2689(a,1,1))]. 2957 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2951,a)]. 2958 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(303,a,2951,a),flip(a)]. 2959 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(135,a,2951,a)]. 2960 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(128,a,2951,a)]. 2961 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(66,a,1082,a(flip),b,2951,a),flip(a)]. 2962 L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y. [para(17(a,1),2951(a,1,2)),flip(a)]. 2963 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(116(a,1),2951(a,1,2)),flip(a)]. 2964 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(242(a,1),2951(a,1,2)),flip(a)]. 2965 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(2951(a,1),204(a,1,1))]. 2966 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2951(a,1),273(a,1,1))]. 2967 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(1000(a,1),2951(a,1,2)),flip(a)]. 2968 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1246(a,1),2951(a,1,2)),flip(a)]. 2969 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(87(a,1),2957(a,1,3)),flip(a)]. 2970 L(x,1 / y,K(y \ 1,y)) = x. [hyper(2027,a,2958,a),flip(a)]. 2971 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2958(a,1),585(a,1,2))]. 2972 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2958(a,1),1830(a,2,1,2))]. 2973 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2970(a,1,3))]. 2974 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2973(a,1),2098(a,1,2)),flip(a)]. 2975 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2941,a)]. 2976 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(2416,a,2941,a)]. 2977 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(38,a,2842,a,b,2941,a)]. 2979 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2941(a,1),2647(a,1,1))]. 2980 K(x \ 1,x) * K(y \ (x \ 1),y) = (1 / x) \ ((y \ (x \ 1)) * y). [hyper(122,a,271,a(flip),b,2942,a),flip(a)]. 2982 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(285,a,1505,a(flip),b,2946,a),flip(a)]. 2983 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(552,a,2947,a)]. 2984 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(303,a,2947,a),flip(a)]. 2987 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2947(a,1),304(a,1,2)),flip(b)]. 2988 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2947(a,1),178(a,1,1,2))]. 2989 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2947(a,1),447(a,1,2,2))]. 2990 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(552,a,2948,a)]. 2991 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(303,a,2948,a),flip(a)]. 2992 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2948(a,1),25(a,2,2)),flip(a)]. 2993 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2948(a,1),501(a,1,1))]. 2994 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2948(a,1),442(a,1,1))]. 2995 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2948(a,1),2919(a,1,2))]. 2996 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1364(a,1),2953(a,1,2))]. 2997 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2859,a,2974,a)]. 2998 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2858,a,2974,a)]. 2999 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),2974(a,1,2))]. 3000 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2974(a,1),2866(a,1,1)),flip(a)]. 3001 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(122,a,2975,a(flip),b,2893,a)]. 3002 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1130(a,1),2975(a,1,2))]. 3003 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2381(a,1),2976(a,2,1))]. 3004 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(285,a,2325,a(flip),b,2983,a),flip(a)]. 3005 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [hyper(124,a,1181,a(flip),b,2990,a),flip(a)]. 3006 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2990(a,1),1418(a,1,2,2,1,2))]. 3007 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2618(a,1),2997(a,1,2))]. 3008 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(303,a,2998,a),flip(a)]. 3009 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(66,a,1453,a(flip),b,2998,a)]. 3010 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(123,a,2998,a(flip),b,1453,a(flip))]. 3012 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(285,a,2846,a(flip),b,3008,a),flip(a)]. 3013 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(122,a,15,a(flip),b,3009,a),flip(a)]. 3014 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(66,a,2425,a(flip),b,3009,a)]. 3015 R(x,K(x \ 1,x),y) = x. [hyper(1885,a,3010,a)]. 3017 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3015(a,1),471(a,1,1,1)),flip(a)]. 3018 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3013(a,1),2697(a,1,1)),flip(a)]. 3019 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2758(a,1),3013(a,1,2))]. 3020 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [hyper(285,a,2997,a,b,3014,a)]. 3021 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(285,a,2407,a,b,2944,a)]. 3022 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2203,a,2956,a),flip(a)]. 3023 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3000(a,1,1)),flip(a)]. 3024 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2379(a,2),3001(a,1,1))]. 3025 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(17(a,1),3012(a,1,2,2))]. 3026 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(27(a,2),3012(a,1,2))]. 3027 T(x,1 / (1 / y)) = T(x,y). [hyper(376,a,3026,a),flip(a)]. 3028 T(x,1 / y) = T(x,y \ 1). [para(87(a,1),3027(a,1,2,2))]. 3029 T(x,(y \ 1) \ 1) = T(x,y). [para(181(a,1),3027(a,1,2)),flip(a)]. 3031 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(66,a,725,a(flip),b,3028,a),flip(a)]. 3032 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(124,a,3028,a(flip),b,27,a(flip))]. 3033 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3028(a,1),923(a,2,1))]. 3034 T(x,T(y,y \ 1)) = T(x,y). [para(117(a,2),3029(a,1,2))]. 3035 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1899(a,2),3029(a,1,2))]. 3036 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2379(a,2),3029(a,1,2))]. 3037 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2383(a,1),3029(a,1,2)),flip(a)]. 3038 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2484(a,2),3029(a,1,2))]. 3041 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2934(a,1),3029(a,1,2)),flip(a)]. 3044 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(124,a,3034,a(flip),b,27,a(flip))]. 3045 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3034(a,1),614(a,1,2))]. 3046 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(78(a,2),3032(a,2,2))]. 3048 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3044(a,1),2565(a,2,1))]. 3049 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3045(a,2),543(a,2,1))]. 3050 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2984(a,1),3031(a,1,1,1))]. 3051 R(x,y,K(x \ 1,x)) = x. [hyper(475,a,3020,a)]. 3052 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1904(a,1),3051(a,1,3))]. 3053 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(3052(a,1),36(a,1,1)),flip(a)]. 3054 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(87(a,1),3033(a,1,1,2)),flip(a)]. 3055 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2874(a,1),2918(a,1,1))]. 3057 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2964(a,2),1827(a,1,1))]. 3058 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2933(a,2),3055(a,2,1)),flip(a)]. 3059 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(285,a,2894,a(flip),b,3058,a),flip(a)]. 3060 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(555,a,3059,a)]. 3061 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(285,a,281,a,b,3059,a),flip(a)]. 3062 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(185,a,3059,a),flip(a)]. 3063 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(90(a,1),3059(a,1,1,1))]. 3064 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(185,a,3061,a)]. 3065 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3062(a,2),118(a,1,1))]. 3066 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3060(a,2),3041(a,2,2)),flip(a)]. 3067 R(x,1 / x,y) \ y = (x \ 1) * y. [para(90(a,1),3063(a,2,1,1))]. 3068 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(555,a,3067,a),flip(a)]. 3069 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3068(a,1),1886(a,1,1))]. 3070 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(66,a,1886,a(flip),b,3069,a),flip(a)]. 3071 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(66,a,368,a(flip),b,3070,a),flip(a)]. 3072 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3071(a,2),99(a,1,2,2))]. 3073 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2395(a,1),2833(a,1,2))]. 3074 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(285,a,2382,a(flip),b,3073,a),flip(a)]. 3075 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(37,a,2929,a,b,2932,a),flip(a)]. 3077 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(66,a,2869,a(flip),b,3002,a),flip(a)]. 3078 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3077,a),flip(a)]. 3079 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3078(a,1),2811(a,1,1))]. 3080 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2907(a,1),3004(a,1,2))]. 3081 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2495(a,1),3007(a,1,2))]. 3082 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(445,a,3017,a)]. 3083 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2748(a,1),3019(a,1,2))]. 3084 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(66,a,2948,a(flip),b,3083,a)]. 3085 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3084(a,1),2763(a,1,1))]. 3086 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(99(a,2),3085(a,1,1,2))]. 3087 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(3002(a,1),2870(a,1))]. 3088 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(285,a,2995,a(flip),b,2890,a),flip(a)]. 3089 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1918,a,3088,a)]. 3090 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(87(a,1),3089(a,1,2)),flip(a)]. 3091 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(539,a,3090,a),flip(a)]. 3092 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(3090(a,1),2589(a,1,2))]. 3093 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2921(a,1),3091(a,1,1))]. 3094 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2949(a,2),3093(a,1,1))]. 3095 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2967(a,1),2972(a,1,2))]. 3096 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(13(a,1),3095(a,2,1,2))]. 3097 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1903(a,2),3096(a,2,1))]. 3098 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(122,a,2394,a(flip),b,3097,a)]. 3099 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2868(a,1),3050(a,1,1))]. 3100 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,32,a,b,3065,a)]. 3101 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2903(a,1),3100(a,1,1))]. 3102 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,980,a(flip),b,3101,a)]. 3103 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(90(a,1),3102(a,2,1,1,1))]. 3104 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(117(a,2),3102(a,2,1,1)),flip(a)]. 3105 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(285,a,2940,a,b,2880,a)]. 3107 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1906(a,1),3081(a,1,2))]. 3108 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3105(a,2),2678(a,1,2))]. 3109 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2271(a,1),2993(a,1,2))]. 3110 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3109(a,1),1397(a,2,2,1,2)),flip(a)]. 3112 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3021(a,1),3108(a,1,2))]. 3113 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2835(a,1),2867(a,1,2,1))]. 3114 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2416,a,2871,a)]. 3115 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(285,a,464,a,b,3023,a)]. 3116 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3112(a,1),3086(a,1,1,2))]. 3117 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(66,a,3085,a(flip),b,3116,a),flip(a)]. 3118 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(16(a,1),3117(a,1,2)),flip(a)]. 3119 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1233(a,1),3118(a,1,2))]. 3120 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2864(a,1),3119(a,1,2))]. 3121 K(x \ 1,K(x \ 1,x) * y) = K(x \ 1,y). [para(2839(a,1),3120(a,1,2)),flip(a)]. 3122 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2892(a,1),3120(a,1,2))]. 3124 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2968(a,1),3092(a,1,2))]. 3125 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(87(a,1),3124(a,2,1,2,2))]. 3127 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1903(a,2),3125(a,2,1))]. 3128 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2665(a,1),3107(a,2,1))]. 3129 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3128(a,1),2730(a,1,1))]. 3130 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2398(a,1),3114(a,1,2,1))]. 3131 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(207(a,1),3048(a,2,1))]. 3132 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(285,a,348,a(flip),b,3131,a),flip(a)]. 3135 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [hyper(124,a,3132,a(flip),b,97,a),flip(a)]. 3136 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(285,a,13,a(flip),b,3135,a),flip(a)]. 3137 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3136(a,1),294(a,1,1)),flip(b)]. 3138 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3137,a,2574,a)]. 3139 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(122,a,3138,a(flip),b,2195,a)]. 3140 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(90(a,1),3138(a,1,2))]. 3141 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1086(a,1),3140(a,1,1))]. 3142 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1635(a,1),3141(a,1,1)),flip(a)]. 3143 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(883(a,1),3129(a,2,1,2))]. 3144 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(66,a,2924,a(flip),b,2923,a)]. 3145 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1904(a,1),3003(a,1,1))]. 3147 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(901(a,1),2996(a,1,2,1))]. 3148 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(3006(a,1),3147(a,1,1))]. 3149 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(136,a,3148,a)]. 3150 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3149(a,1),2329(a,1,2))]. 3151 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(305,a,3150,a),flip(a)]. 3152 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2786,a,3151,a),flip(a)]. 3155 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [hyper(66,a,2395,a,b,3152,a)]. 3156 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3152(a,1),3074(a,1,2))]. 3157 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(37,a,2892,a,b,3156,a),flip(a)]. 3158 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(66,a,3155,a,b,3157,a)]. 3163 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(122,a,3158,a(flip),b,1903,a(flip))]. 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3158(a,1),3145(a,1,1))]. 3165 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1908,a,3163,a)]. 3166 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(66,a,2399,a(flip),b,3163,a)]. 3167 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(122,a,3163,a(flip),b,3098,a(flip))]. 3168 (T(x,y) \ x) \ x = T(x,y). [hyper(2357,a,3166,a)]. 3169 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(136,a,3166,a)]. 3170 x / T(x,y) = T(x,y) \ x. [hyper(185,a,3168,a)]. 3171 (T(x,y) \ x) * T(x,y) = x. [hyper(138,a,3168,a)]. 3175 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(66,a,1717,a,b,3170,a)]. 3176 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3170(a,1),1779(a,1,1))]. 3177 L(x,T(x,y) \ x,x) = x. [hyper(66,a,2129,a,b,3171,a)]. 3179 (x * y) * T(K(y,x),x) = y * x. [para(3177(a,1),2128(a,1,2)),flip(a)]. 3180 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(224,a,3169,a,b,1000,a)]. 3183 T(K(x,y),y) = K(x,y). [hyper(275,a,3179,a),flip(a)]. 3184 (x * K(y,x)) / x = K(y,x). [hyper(254,a,3183,a)]. 3185 T(x,K(y,x)) = x. [hyper(57,a,3183,a)]. 3186 K(x,y) * y = y * K(x,y). [hyper(124,a,3183,a(flip),b,27,a(flip)),flip(a)]. 3188 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3183(a,1),222(a,1,2,1)),flip(a)]. 3189 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3183(a,1),679(a,1,2,1))]. 3190 T(x,K(y,R(x,z,u))) = x. [hyper(148,a,3185,a)]. 3191 T(T(x,y),K(z,x)) = T(x,y). [para(3185(a,1),28(a,1,1)),flip(a)]. 3193 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3185(a,1),221(a,1,2,1)),flip(a)]. 3194 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3185(a,1),222(a,1,2,1)),flip(a)]. 3195 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3185(a,1),223(a,1,2,1)),flip(a)]. 3196 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3185(a,1),383(a,1,2,1))]. 3199 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3185(a,1),415(a,1,2,1,1)),flip(a)]. 3200 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3185(a,1),591(a,1,2,1,1)),flip(a)]. 3201 T(x,y * T(y \ 1,x)) = x. [para(1110(a,1),3185(a,1,2))]. 3202 T(x,y \ T(y,x)) = x. [para(1114(a,1),3185(a,1,2))]. 3203 T(x,x \ ((y * x) / y)) = x. [para(1285(a,1),3185(a,1,2))]. 3204 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3185(a,1),2282(a,1,1,1)),flip(a)]. 3205 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3185(a,1),2333(a,1,2,1)),flip(a)]. 3206 (x \ T(x,y)) * y = y * (x \ T(x,y)). [hyper(124,a,3202,a(flip),b,27,a(flip))]. 3207 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3190(a,1),28(a,1,1)),flip(a)]. 3208 L(K(x,y),y,1 / y) = K(x,y). [hyper(66,a,2209,a,b,3184,a)]. 3209 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(66,a,1185,a,b,3184,a)]. 3210 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3184(a,1),489(a,1,1)),flip(a)]. 3211 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3184(a,1),837(a,1,1,1)),flip(a)]. 3212 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [hyper(124,a,3186,a(flip),b,176,a)]. 3213 T(K(x,y),T(y,z)) = K(x,y). [hyper(57,a,3191,a)]. 3214 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3191(a,1),383(a,1,2,1))]. 3215 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(57,a,3201,a)]. 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3203(a,1),249(a,1,2))]. 3217 K(K(x,y),T(y,z)) = 1. [hyper(58,a,3213,a)]. 3219 K(x \ T(x,y),T(y,z)) = 1. [para(1114(a,1),3217(a,1,1))]. 3220 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(59,a,3219,a)]. 3221 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(123,a,3208,a(flip),b,244,a)]. 3222 (1 / x) \ K(y,x) = x * K(y,x). [hyper(122,a,3208,a(flip),b,244,a)]. 3223 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(66,a,2434,a,b,3180,a)]. 3224 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(39,a,172,a,b,3221,a),flip(a)]. 3226 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3165(a,1),3080(a,1,2))]. 3227 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3176(a,1),105(a,2,1)),flip(a)]. 3228 x * (((y * x) / y) / x) = (y * x) / y. [hyper(124,a,3216,a,b,xx)]. 3230 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(1328,a,3216,a(flip))]. 3231 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(795(a,1),3216(a,1,1)),flip(a)]. 3232 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(136,a,3223,a)]. 3235 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(339,a,3232,a)]. 3237 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3232(a,1),1100(a,1,2))]. 3238 K(T(x \ 1,y) \ 1,T(x \ 1,y)) = K(x,x \ 1). [hyper(285,a,2621,a(flip),b,3235,a),flip(a)]. 3239 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(66,a,2790,a(flip),b,3235,a),flip(a)]. 3240 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3235(a,1),2386(a,1,2))]. 3241 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3235(a,1),2690(a,2,2))]. 3242 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3235(a,1),2731(a,2,2))]. 3243 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3235(a,1),3082(a,1,2))]. 3244 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3243(a,1),2563(a,1,2)),flip(a)]. 3245 T(x,L(K(y,x),z,u)) = x. [hyper(225,a,3188,a)]. 3246 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(225,a,3194,a)]. 3247 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(3246(a,1),219(a,1,1,2))]. 3248 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3195(a,1),46(a,1)),flip(a)]. 3249 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3195(a,2),444(a,1,1,2))]. 3250 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3215(a,1),1392(a,1,2)),flip(a)]. 3251 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(66,a,3167,a(flip),b,3226,a),flip(a)]. 3252 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(66,a,2325,a,b,3251,a)]. 3253 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(124,a,3251,a(flip),b,2325,a)]. 3254 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(32(a,2),3251(a,1,1,2))]. 3255 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3251(a,1),82(a,1,2,2))]. 3256 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(118(a,1),3251(a,1,1,2)),flip(a)]. 3257 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1547(a,1),3251(a,1,1,2)),flip(a)]. 3258 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(262,a,3255,a)]. 3259 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [hyper(124,a,3237,a,b,1008,a)]. 3261 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(66,a,2884,a(flip),b,3239,a),flip(a)]. 3262 K(x / y,y / x) = K(y \ x,x \ y). [hyper(66,a,2875,a(flip),b,3239,a)]. 3263 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(66,a,2545,a,b,3262,a)]. 3264 x * (T(x,y) / x) = T(x,y). [hyper(38,a,2114,a,b,3240,a)]. 3266 T(x,y) / x = x \ T(x,y). [hyper(128,a,3264,a),flip(a)]. 3267 (x \ T(x,y)) * x = T(x,y). [para(3264(a,1),91(a,1,1,2))]. 3268 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(910,a,3266,a),flip(a)]. 3269 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(902,a,3266,a)]. 3270 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(66,a,1500,a(flip),b,3266,a),flip(a)]. 3271 T(x,x \ T(x,y)) = x. [hyper(39,a,249,a,b,3266,a)]. 3272 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3266(a,1),113(a,1,1))]. 3273 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3266(a,1),489(a,1,1))]. 3274 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3266(a,1),2038(a,1,1))]. 3275 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3266(a,1),2212(a,1,1,2))]. 3276 K(x,x \ T(x,y)) = 1. [hyper(58,a,3271,a)]. 3277 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3271(a,1),221(a,1,2,1)),flip(a)]. 3278 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1114(a,2),3271(a,1,2))]. 3279 K(x,T(x,y) / x) = 1. [para(3266(a,2),3276(a,1,2))]. 3280 T(1 / x,T(x,y)) = x \ 1. [hyper(122,a,3279,a(flip),b,1068,a),flip(a)]. 3281 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(66,a,1519,a,b,3267,a)]. 3282 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3267(a,1),23(a,2,1)),flip(a)]. 3283 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3267(a,1),103(a,1,1))]. 3284 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3267(a,1),479(a,1,1,1))]. 3285 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1114(a,2),3267(a,1,1)),flip(a)]. 3286 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(66,a,1503,a(flip),b,3280,a)]. 3287 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(87(a,1),3280(a,1,1))]. 3288 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3280(a,1),231(a,1,1)),flip(a)]. 3289 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3280(a,1),370(a,2,1))]. 3290 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3280(a,1),1116(a,1,1)),flip(a)]. 3291 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1138,a,3278,a)]. 3292 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(124,a,3278,a(flip),b,1137,a(flip))]. 3293 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(285,a,117,a,b,3287,a),flip(a)]. 3295 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3288(a,1),1396(a,1,1,2)),flip(a)]. 3297 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(66,a,3037,a,b,3293,a)]. 3300 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3297(a,1),2154(a,1,1))]. 3302 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3285(a,2),583(a,1,2,2))]. 3304 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1150(a,1),3291(a,1,1,1,1))]. 3305 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2971(a,1),3292(a,1,1,1,1))]. 3306 T(x,x / (y * x)) = T(x,x / (x * y)). [para(205(a,1),3281(a,1,2))]. 3308 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(209(a,1),3286(a,1,3,2))]. 3309 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3261(a,1),2614(a,1,2))]. 3310 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(3261(a,1),2628(a,1,1)),flip(a)]. 3311 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3263(a,1),1888(a,1,1))]. 3312 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3263(a,2),2622(a,1,2))]. 3314 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3268(a,1),698(a,2,1)),flip(a)]. 3315 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3268(a,1),3251(a,1,1))]. 3316 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3266(a,1),3274(a,2,2))]. 3318 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3288(a,1),3290(a,1,2)),flip(a)]. 3319 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(285,a,325,a(flip),b,3318,a),flip(a)]. 3322 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3319(a,1),946(a,1,1,2))]. 3323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(136,a,3316,a)]. 3324 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),3270(a,2,2,1))]. 3325 T(x,y \ ((x * y) / x)) = x. [para(3270(a,1),3271(a,1,2))]. 3326 T(x,T(y,x) \ y) = x. [para(209(a,1),3325(a,1,2,2))]. 3327 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(57,a,3326,a)]. 3328 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(124,a,3326,a(flip),b,27,a(flip))]. 3330 K(K(x,y),T(z,y) \ z) = 1. [para(3327(a,1),2224(a,1,2))]. 3331 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1114(a,1),3330(a,1,1))]. 3332 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(3331(a,1),2503(a,1,2)),flip(a)]. 3333 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3331(a,1),2620(a,1,2))]. 3334 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(66,a,1502,a,b,3328,a)]. 3335 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3328(a,1),1796(a,1,1,2,1))]. 3336 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(285,a,3251,a(flip),b,3332,a),flip(a)]. 3337 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3270(a,1),3336(a,1,2)),flip(a)]. 3338 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3333(a,1),2377(a,1,2,1))]. 3339 K(1 / x,y) = K(x \ 1,y). [hyper(66,a,2677,a(flip),b,3314,a)]. 3340 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(66,a,929,a(flip),b,3339,a),flip(a)]. 3341 K((x \ 1) \ 1,y) = K(x,y). [para(87(a,1),3339(a,1,1)),flip(a)]. 3342 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2769,a,3341,a)]. 3343 T(K(x,y),x) = K(x,y). [hyper(66,a,2746,a,b,3341,a)]. 3344 K(T(x,x \ 1),y) = K(x,y). [para(117(a,2),3341(a,1,1))]. 3345 K(T((x \ 1) \ 1,y),z) = K(T(x,y),z). [para(2379(a,2),3341(a,1,1))]. 3346 K(T(x \ y,y \ x),z) = K(x \ y,z). [para(2484(a,2),3341(a,1,1))]. 3347 K(x,y) * x = x * K(x,y). [para(3341(a,1),2747(a,1,2)),flip(a)]. 3348 T(x,K(x,y)) = x. [hyper(57,a,3343,a)]. 3349 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3343(a,1),221(a,1,2,1)),flip(a)]. 3350 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3343(a,1),222(a,1,2,1)),flip(a)]. 3351 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3343(a,1),223(a,1,2,1)),flip(a)]. 3352 K(x,K(x,y)) = 1. [hyper(58,a,3348,a)]. 3353 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3348(a,1),221(a,1,2,1)),flip(a)]. 3354 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3348(a,1),222(a,1,2,1)),flip(a)]. 3355 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3348(a,1),223(a,1,2,1)),flip(a)]. 3356 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3348(a,1),425(a,1,1,2)),flip(a)]. 3359 T(K(x,y),T(x,z)) = K(x,y). [hyper(225,a,3353,a)]. 3362 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3359(a,1),263(a,1,2))]. 3363 T(K(x,y),(z * x) / z) = K(x,y). [hyper(57,a,3356,a)]. 3364 T(K(x \ y,z),y / x) = K(x \ y,z). [para(15(a,1),3363(a,1,2,1))]. 3365 T(K(x \ y,z),u) * (y / x) = (y / x) * T(K(x \ y,z),u). [para(3364(a,1),221(a,1,2,1)),flip(a)]. 3366 T(x,L(K(x,y),z,u)) = x. [hyper(225,a,3350,a)]. 3367 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3350(a,1),1913(a,2,1))]. 3368 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(761,a,3351,a),flip(a)]. 3369 T(x,R(K(x,y),z,u)) = x. [hyper(225,a,3351,a)]. 3370 K(x,R(K(x,y),z,u)) = 1. [hyper(58,a,3369,a)]. 3371 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(225,a,3355,a)]. 3372 R(x,y,z) * K(x,u) != w | K(x,u) * R(x,y,z) = w. [para(3371(a,1),263(a,1,2))]. 3373 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3175(a,1),2105(a,1,2))]. 3374 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3175(a,1),2716(a,1,1,2)),flip(a)]. 3375 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(57,a,3373,a)]. 3376 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [hyper(124,a,3373,a(flip),b,27,a(flip))]. 3378 (K(x,y) \ y) * K(x,y) = y. [hyper(37,a,96,a(flip),b,3204,a),flip(a)]. 3379 x / K(y,x) = K(y,x) \ x. [hyper(135,a,3378,a)]. 3380 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3378(a,1),25(a,2,1,1))]. 3383 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3205(a,1),2817(a,2,1))]. 3384 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(118(a,1),3256(a,1,1)),flip(a)]. 3385 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(14(a,1),3384(a,1,1,2)),flip(a)]. 3386 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(66,a,3020,a,b,3259,a)]. 3387 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1067,a,3277,a),flip(a)]. 3388 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,281,a(flip),b,3300,a)]. 3390 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(589(a,1),3311(a,1,1,2))]. 3391 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1262(a,1),3315(a,1,1)),flip(a)]. 3392 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1281(a,2),3315(a,1,1)),flip(a)]. 3393 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(285,a,3253,a(flip),b,3376,a),flip(a)]. 3394 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3386(a,1),2938(a,1,2)),flip(a)]. 3395 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3387(a,2),995(a,1,2))]. 3396 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3388(a,1),23(a,2,1)),flip(a)]. 3397 R(x,x \ T(x,y),T(x,z)) = x. [hyper(700,a,3395,a)]. 3398 L(x,x \ T(x,y),x) = x. [para(3397(a,1),1059(a,1,1))]. 3399 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(60,a,3200,a)]. 3401 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(117(a,1),3241(a,1,2,1))]. 3404 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(128,a,3310,a)]. 3405 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(14(a,1),3385(a,1,1)),flip(a)]. 3406 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(185,a,3405,a)]. 3407 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(66,a,3337,a,b,3406,a)]. 3408 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(122,a,3407,a(flip),b,1000,a),flip(a)]. 3409 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(209(a,1),3407(a,2,1))]. 3410 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3408(a,1),2392(a,1,2))]. 3411 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(209(a,1),3410(a,1,2,2,1))]. 3412 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1267(a,1),3411(a,1,2,2,2))]. 3413 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(123,a,3409,a(flip),b,3169,a),flip(a)]. 3414 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3334(a,1),3409(a,1,1))]. 3415 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(185,a,3414,a)]. 3416 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1267(a,1),3415(a,1,2,2))]. 3417 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3394(a,1),2185(a,1,1)),flip(a)]. 3418 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(136,a,3401,a)]. 3419 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(3404(a,1),2014(a,1,1))]. 3420 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [hyper(124,a,3419,a(flip),b,27,a(flip)),flip(a)]. 3421 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(3419(a,1),2378(a,1,1)),flip(a)]. 3422 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(180,a,3421,a),flip(a)]. 3423 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(66,a,3103,a(flip),b,3422,a),flip(a)]. 3424 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3309(a,2),3420(a,1,1))]. 3425 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2951(a,1),3423(a,1,1,1,1))]. 3426 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3423(a,1),3341(a,1,1)),flip(a)]. 3427 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(224,a,3424,a(flip),b,2832,a(flip))]. 3429 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(17(a,1),3427(a,1,2,1))]. 3430 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3429(a,1),2719(a,1,1)),flip(a)]. 3431 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(14(a,1),3257(a,2,1))]. 3433 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3282(a,1),1021(a,1,2)),flip(a)]. 3434 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(15(a,1),3433(a,1,1)),flip(a)]. 3435 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3433(a,2),46(a,1))]. 3436 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(66,a,1827,a,b,3283,a)]. 3437 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3334(a,1),3413(a,1,2))]. 3438 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3268(a,1),3437(a,2,1))]. 3439 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3266(a,1),3275(a,2,2,1,2))]. 3440 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(285,a,3328,a(flip),b,3335,a),flip(a)]. 3441 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3028(a,1),3340(a,2,1,1))]. 3443 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3414(a,1),3440(a,1,1,2))]. 3444 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(37,a,3439,a(flip),b,3443,a(flip))]. 3446 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3444(a,1),241(a,1,2))]. 3447 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3273(a,2,1))]. 3448 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3169(a,1),3417(a,1,1)),flip(a)]. 3449 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(90(a,1),3164(a,1,2,1))]. 3451 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2405,a,3449,a)]. 3453 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1906(a,1),3451(a,1,2))]. 3454 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(32(a,2),3254(a,2,1))]. 3455 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),3295(a,1,1))]. 3456 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(116(a,1),3455(a,2,1))]. 3457 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(285,a,2415,a(flip),b,3456,a),flip(a)]. 3459 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3457(a,1),1350(a,1,1)),flip(a)]. 3460 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(285,a,3223,a(flip),b,3459,a),flip(a)]. 3462 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3460(a,1),3457(a,1,1))]. 3464 K(T(x / y,z) \ 1,T(x / y,u)) = K(x \ y,y \ x). [hyper(285,a,3239,a(flip),b,3462,a),flip(a)]. 3470 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3392(a,1),3308(a,1,3))]. 3471 T(x,K(y,x) \ 1) = x. [para(3392(a,1),3326(a,1,2))]. 3472 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [hyper(124,a,3471,a(flip),b,27,a(flip))]. 3474 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3472(a,1),203(a,2,1)),flip(a)]. 3475 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(285,a,3470,a(flip),b,3474,a),flip(a)]. 3477 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3399(a,1),126(a,1))]. 3478 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(87(a,1),3453(a,2,1,1,2))]. 3480 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2416,a,3478,a)]. 3481 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(14(a,1),3480(a,1,2)),flip(a)]. 3482 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [hyper(124,a,2976,a(flip),b,3481,a)]. 3483 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [hyper(124,a,3482,a(flip),b,993,a)]. 3484 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2983(a,1),3482(a,1,2)),flip(a)]. 3485 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1944(a,1),3454(a,1,1)),flip(a)]. 3486 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1375(a,1),3244(a,1,1))]. 3487 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(243(a,2),3486(a,1,2,1))]. 3488 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(66,a,3144,a(flip),b,3487,a)]. 3489 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3488(a,1),2919(a,1,2))]. 3490 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3446,a,3258,a),flip(a)]. 3491 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1267(a,1),3490(a,1,2,2))]. 3492 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(116(a,2),3368(a,2,1,1,1))]. 3493 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3342(a,1),3412(a,1,2,2))]. 3494 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3493(a,1),249(a,1,2))]. 3495 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3494(a,1),2692(a,1,1)),flip(a)]. 3496 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3494(a,1),2837(a,1,1))]. 3497 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(124,a,3496,a(flip),b,2253,a),flip(a)]. 3498 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(3497(a,1),2945(a,1,2))]. 3499 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(66,a,2187,a(flip),b,3498,a)]. 3500 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3267(a,1),3489(a,1,2,1))]. 3501 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(117(a,1),3500(a,2,2,1,1))]. 3502 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2914(a,1),3484(a,1,2))]. 3503 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(117(a,2),3502(a,1,2,1))]. 3504 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(34(a,1),3367(a,1,1))]. 3505 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(285,a,3448,a(flip),b,3374,a),flip(a)]. 3506 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3175(a,1),3505(a,1,1))]. 3507 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(795(a,1),3231(a,1,2)),flip(a)]. 3508 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(66,a,1943,a(flip),b,3507,a),flip(a)]. 3510 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3434(a,1),3436(a,1,1))]. 3511 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(66,a,232,a(flip),b,3510,a)]. 3512 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(14(a,1),3511(a,1,1)),flip(a)]. 3513 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(122,a,3398,a(flip),b,3512,a)]. 3514 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1547(a,1),3513(a,1,1,2)),flip(a)]. 3515 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3270(a,1),3513(a,1,1)),flip(a)]. 3516 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3407(a,1),3515(a,1,2)),flip(a)]. 3517 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(209(a,1),3516(a,1,1,2)),flip(a)]. 3518 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(209(a,1),3517(a,1,2,1)),flip(a)]. 3519 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(14(a,1),3514(a,2,1))]. 3521 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3431(a,1),3519(a,1,2))]. 3522 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(128,a,3521,a)]. 3523 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),3304(a,2,1))]. 3524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(2815(a,1),3523(a,1,1))]. 3525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(122,a,3524,a(flip),b,3521,a)]. 3526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3525,a),flip(a)]. 3527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(42,a,2510,a,b,3526,a)]. 3529 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2838(a,1),2872(a,1,2)),flip(a)]. 3530 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(285,a,25,a,b,3529,a),flip(a)]. 3531 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3529(a,2),479(a,1))]. 3532 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(66,a,3053,a(flip),b,3530,a),flip(a)]. 3533 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2899(a,1),2900(a,2,2,1,1))]. 3534 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(285,a,3269,a(flip),b,3533,a),flip(a)]. 3536 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3269(a,1),3534(a,1,1))]. 3537 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3536(a,1),3322(a,1,1))]. 3538 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3319(a,1),3537(a,2,1))]. 3540 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2413,a,3538,a)]. 3542 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2948(a,1),2994(a,1,2)),flip(a)]. 3544 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3542(a,2),447(a,1))]. 3545 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(112(a,1),2935(a,1,1,1,1,2))]. 3546 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2452,a,3545,a)]. 3547 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(16(a,1),3305(a,1,1,1))]. 3549 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3547(a,1),47(a,1)),flip(a)]. 3550 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3342(a,1),3491(a,1,2))]. 3551 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3391(a,1),3550(a,1,3))]. 3552 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(14(a,1),3551(a,1,3,1,2,2,1))]. 3553 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(116(a,1),3552(a,1,3,1,2))]. 3554 R(x,K(y,x),K(y,x) \ 1) = x. [para(21(a,2),3553(a,1,3,1))]. 3555 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(122,a,3554,a(flip),b,355,a)]. 3556 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3094(a,1),3057(a,1,1))]. 3557 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3269(a,1),3110(a,2,1))]. 3558 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3066(a,1),3324(a,1,2))]. 3559 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(32(a,2),3558(a,1,2))]. 3560 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1954(a,1),3559(a,1,2,1)),flip(a)]. 3561 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(285,a,1944,a(flip),b,3560,a),flip(a)]. 3563 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(3087,a,3561,a)]. 3564 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3561,a),flip(a)]. 3565 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3564(a,2),3527(a,1,1))]. 3566 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(66,a,3485,a,b,3565,a)]. 3567 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2313,a,3566,a)]. 3568 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(124,a,3567,a(flip),b,3508,a)]. 3569 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3567(a,1),2303(a,2,1,1))]. 3570 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1710(a,2),3563(a,1,2))]. 3571 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3570(a,1),2801(a,1,1)),flip(a)]. 3572 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3564(a,1),3571(a,2,1))]. 3573 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,3079,a(flip),b,3572,a),flip(a)]. 3574 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(37,a,1903,a(flip),b,3573,a),flip(a)]. 3575 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(66,a,3142,a,b,3574,a)]. 3576 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(185,a,3575,a),flip(a)]. 3577 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2381(a,1),3575(a,1,1,1))]. 3578 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(66,a,3568,a,b,3576,a)]. 3579 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(87(a,1),3576(a,1,1,2)),flip(a)]. 3580 R(1 / (1 / (x / (y / z))),y / z,z) = 1 / (1 / ((x * z) / y)). [para(489(a,1),3576(a,2,2,2))]. 3581 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3579(a,1),184(a,1,1,1))]. 3583 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(87(a,1),3581(a,1,1,1,1)),flip(a)]. 3584 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3581(a,1),3341(a,1,1)),flip(a)]. 3585 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(66,a,986,a,b,3583,a)]. 3586 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3583(a,2),2445(a,1,1))]. 3587 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2713(a,1),3583(a,2,1,1))]. 3588 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(87(a,1),3577(a,1,1,1,1,2)),flip(a)]. 3589 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(686(a,1),3577(a,1,1)),flip(a)]. 3590 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(868(a,1),3588(a,2,1))]. 3591 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(37,a,1874,a,b,3578,a)]. 3592 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(397,a,3591,a)]. 3593 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(487(a,1),3591(a,1,1,1)),flip(a)]. 3594 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3591(a,1),1914(a,1,1)),flip(a)]. 3595 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3591(a,1),3569(a,1,1)),flip(a)]. 3596 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3592(a,1),339(a,1))]. 3597 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(66,a,3430,a,b,3587,a)]. 3598 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3597(a,1),2499(a,1,1)),flip(a)]. 3599 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1491(a,1),3590(a,1,2))]. 3600 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(12(a,1),3599(a,1,2,1,2)),flip(a)]. 3601 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(12(a,1),3600(a,1,1,2)),flip(a)]. 3602 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(180,a,3601,a),flip(a)]. 3603 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2930(a,1),3601(a,1,2))]. 3604 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3602(a,2),3029(a,1,2))]. 3605 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(90(a,1),3603(a,1,2,2,1)),flip(a)]. 3606 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(185,a,3605,a)]. 3607 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(124,a,3606,a,b,xx)]. 3609 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(123,a,3607,a(flip),b,2436,a)]. 3610 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(90(a,1),3607(a,1,2,2,2,2)),flip(a)]. 3612 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(87(a,1),3609(a,1,1,1,2)),flip(a)]. 3613 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(285,a,3526,a(flip),b,3594,a),flip(a)]. 3614 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(136,a,3598,a(flip))]. 3615 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / ((x * y) / 1))) / y. [hyper(123,a,3580,a(flip),b,247,a),flip(a)]. 3616 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(445,a,3595,a)]. 3617 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3341(a,1),3616(a,1,3))]. 3618 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3617(a,1),260(a,1,2)),flip(a)]. 3619 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / (x * y))) / y. [para(86(a,1),3615(a,2,1,2,2))]. 3620 (1 / x) * (1 / (1 / ((1 / x) \ y))) = (1 / (1 / (y * x))) / x. [hyper(66,a,2436,a(flip),b,3619,a)]. 3621 x * K(x \ (1 / y),(1 / y) \ x) = (1 / (1 / (x * y))) / y. [hyper(66,a,2627,a,b,3620,a)]. 3622 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(262,a,3586,a),flip(a)]. 3623 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2389(a,1),3622(a,2,1))]. 3624 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(66,a,3546,a(flip),b,3623,a)]. 3625 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3242(a,1),3624(a,2,1))]. 3626 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3592(a,1),3625(a,1,1))]. 3627 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3626(a,1),47(a,1))]. 3628 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3341(a,1),3626(a,1,1))]. 3629 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2621(a,1),3628(a,2,1,2))]. 3630 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3618,a,3629,a)]. 3631 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(38,a,2398,a,b,3630,a),flip(a)]. 3633 L(x,y,K(z,z \ 1)) = x. [para(3631(a,1),3617(a,1,3))]. 3634 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3631(a,1),3629(a,1,1)),flip(a)]. 3635 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1176,a,3633,a),flip(a)]. 3636 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(66,a,2530,a,b,3633,a)]. 3637 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(66,a,105,a(flip),b,3633,a)]. 3638 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(124,a,3633,a(flip),b,2530,a)]. 3639 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3633(a,1),389(a,1,2)),flip(a)]. 3640 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3633(a,1),499(a,1,2))]. 3641 L(x,y,K(z \ 1,z)) = x. [para(1906(a,1),3633(a,1,3))]. 3642 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3633(a,1),1893(a,1,2)),flip(a)]. 3643 L(x,y,K(z \ u,u \ z)) = x. [para(2490(a,1),3633(a,1,3))]. 3645 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3544,a,3641,a),flip(a)]. 3646 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1176,a,3641,a),flip(a)]. 3650 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(66,a,2856,a(flip),b,3641,a),flip(a)]. 3651 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(66,a,2722,a(flip),b,3641,a),flip(a)]. 3652 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(66,a,2525,a(flip),b,3641,a),flip(a)]. 3653 L(x,y,K(z \ 1,z)) != u | u = x. [para(3641(a,1),53(a,1)),flip(a)]. 3654 L(x,y,K(z \ 1,z)) != u | x = u. [para(3641(a,1),53(a,2))]. 3655 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3641(a,1),389(a,1,2)),flip(a)]. 3656 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3641(a,1),499(a,1,2))]. 3657 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3641(a,1),2427(a,1,2))]. 3659 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3641(a,1),3544(a,1))]. 3661 K(x \ y,y \ x) * (1 / z) = K(x \ y,y \ x) / z. [para(3643(a,1),389(a,1,2)),flip(a)]. 3662 (K(x \ y,y \ x) * z) / u = K(x \ y,y \ x) * (z / u). [para(3643(a,1),499(a,1,2))]. 3664 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(66,a,2966,a,b,3645,a)]. 3665 a(1 / x,x / y,y) \ y = L(y,x / y,x \ 1). [hyper(66,a,1674,a,b,3645,a)]. 3666 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(66,a,455,a(flip),b,3645,a),flip(a)]. 3667 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [hyper(124,a,3645,a(flip),b,23,a(flip))]. 3668 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(87(a,1),3645(a,1,3)),flip(a)]. 3669 1 / L(x,y / x,y \ 1) = (1 / y) * (y / x). [para(3645(a,1),707(a,1,2))]. 3671 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(66,a,2725,a,b,3651,a)]. 3675 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2405,a,3639,a)]. 3676 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [hyper(2858,a,3642,a)]. 3677 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2405,a,3642,a)]. 3679 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(315,a,3677,a),flip(a)]. 3680 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(610(a,1),3677(a,1,1)),flip(a)]. 3681 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(180,a,3679,a)]. 3682 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(123,a,3634,a(flip),b,112,a)]. 3684 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2950(a,1),3634(a,1,1)),flip(a)]. 3686 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(475,a,3635,a)]. 3689 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(224,a,3635,a,b,15,a),flip(a)]. 3692 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,2800,a,b,3686,a)]. 3696 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3636(a,1),981(a,1,1)),flip(a)]. 3697 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2659(a,1),3637(a,1,1))]. 3698 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2845(a,1),3637(a,1,2))]. 3699 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2850(a,1),3637(a,1,1)),flip(a)]. 3704 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(2950(a,1),3638(a,1,1)),flip(a)]. 3705 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2398(a,1),3640(a,1,1))]. 3706 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3640(a,1),2865(a,1,1))]. 3708 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),25(a,2,1,1)),flip(a)]. 3709 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(2649(a,1),3646(a,1,1)),flip(a)]. 3710 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2654(a,1),3646(a,1,1)),flip(a)]. 3711 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2915(a,1),3646(a,1,1)),flip(a)]. 3713 K(x \ 1,x) * ((1 / y) * z) = (K(x \ 1,x) / y) * z. [para(3655(a,1),3646(a,1,1)),flip(a)]. 3714 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [hyper(2989,a,3650,a),flip(a)]. 3716 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2950(a,1),3650(a,1,1)),flip(a)]. 3717 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3656(a,1),118(a,1,1))]. 3718 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(860(a,1),3656(a,1,1)),flip(a)]. 3719 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1881(a,1),3656(a,1,1)),flip(a)]. 3720 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2855,a,3718,a)]. 3721 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(249(a,1),3719(a,1,2)),flip(a)]. 3722 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3627,a,3657,a)]. 3724 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),19(a,2,1)),flip(a)]. 3725 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),23(a,2,1)),flip(a)]. 3726 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3657(a,1),23(a,2,2,2)),flip(a)]. 3728 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3657(a,1),2992(a,1,1))]. 3729 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3596,a,3722,a)]. 3730 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(487(a,1),3722(a,1,2)),flip(a)]. 3733 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(13(a,1),3698(a,2,2))]. 3735 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(13(a,1),3699(a,2,2))]. 3736 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(66,a,2402,a(flip),b,3705,a),flip(a)]. 3737 (x * K(y,y \ 1)) / z != K(y,y \ 1) * u | x / z = u. [para(3705(a,2),46(a,1))]. 3739 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(116(a,1),3689(a,1,2,2))]. 3742 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2888(a,1),3697(a,1,2)),flip(a)]. 3743 K(x \ 1,x) * ((x \ 1) * y) = T(x \ 1,x) * y. [para(1899(a,2),3711(a,2,1))]. 3744 ((x \ 1) * y) * K(x \ 1,x) = T(x \ 1,x) * y. [hyper(2412,a,3743,a)]. 3745 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3716(a,1),3557(a,1,2,1)),flip(a)]. 3746 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3005(a,1),3717(a,1,1))]. 3747 (K(x \ y,y \ x) * z) / u != K(x \ y,y \ x) * w | z / u = w. [para(3662(a,2),46(a,1))]. 3748 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(66,a,3640,a(flip),b,3682,a)]. 3749 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),3708(a,1,1))]. 3750 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(66,a,3656,a(flip),b,3749,a)]. 3751 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(25(a,2),3750(a,1,2)),flip(a)]. 3752 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(285,a,3113,a(flip),b,3751,a),flip(a)]. 3753 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2862,a,3751,a(flip))]. 3754 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1872(a,1),3753(a,1,2,1))]. 3755 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3426(a,1),3745(a,2,2))]. 3756 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2702(a,1),3752(a,1,1)),flip(a)]. 3757 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(15(a,1),3756(a,1,1,2,1)),flip(a)]. 3758 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(123,a,3757,a,b,xx)]. 3759 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3757(a,2,1,2))]. 3760 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2713(a,1),3757(a,2,1,2))]. 3761 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(91(a,1),3758(a,1,1,1)),flip(a)]. 3762 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(138,a,3761,a),flip(a)]. 3763 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3762(a,2),2561(a,1,1))]. 3764 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(66,a,3143,a(flip),b,3760,a),flip(a)]. 3765 (x * (y \ T(y,x))) * y = y * x. [para(14(a,1),3764(a,1,1)),flip(a)]. 3766 x * (y \ T(y,x)) = (y * x) / y. [hyper(135,a,3765,a),flip(a)]. 3767 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(123,a,15,a(flip),b,3765,a),flip(a)]. 3768 x \ ((y * x) / y) = y \ T(y,x). [hyper(128,a,3766,a)]. 3769 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(122,a,756,a(flip),b,3766,a)]. 3770 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(122,a,209,a(flip),b,3766,a)]. 3771 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(122,a,153,a(flip),b,3766,a),flip(a)]. 3772 (x \ T(x,y)) * y = (x * y) / x. [hyper(66,a,3206,a,b,3766,a)]. 3773 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(37,a,3230,a,b,3766,a)]. 3774 ((x * y) / x) / y = x \ T(x,y). [hyper(37,a,3228,a,b,3766,a)]. 3775 (T(x,y) \ x) * ((x * y) / x) = y. [hyper(124,a,3766,a(flip),b,3518,a)]. 3776 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3766(a,1),889(a,1,2))]. 3777 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3268(a,1),3766(a,1,2)),flip(a)]. 3778 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3766(a,1),3323(a,1,1))]. 3779 ((x * y) / x) \ y = T(x,y) \ x. [para(3766(a,1),3444(a,1,1))]. 3781 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3770(a,2),3272(a,1,1))]. 3782 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3772(a,1),176(a,1,2,1))]. 3785 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3774(a,1),461(a,1,1,1))]. 3786 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3549,a,3775,a)]. 3787 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(15(a,1),3779(a,1,1,1)),flip(a)]. 3788 T(x,T(y,x)) \ x = y \ T(y,x). [para(209(a,1),3779(a,1,1)),flip(a)]. 3789 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(756(a,1),3779(a,1,1))]. 3790 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3779(a,1),1306(a,1,2,2,1))]. 3791 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(285,a,1114,a,b,3788,a)]. 3793 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3788(a,1),3168(a,1,1))]. 3795 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3268(a,1),3793(a,1,1))]. 3796 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(117(a,1),3767(a,1,2,2))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3778(a,1),447(a,1,1))]. 3799 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(128,a,3796,a)]. 3800 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(118(a,1),3771(a,1,2))]. 3801 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(66,a,3787,a,b,3800,a)]. 3802 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(124,a,3787,a,b,3800,a(flip)),flip(a)]. 3804 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(14(a,1),3802(a,2,2,1,2))]. 3805 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1538,a,3773,a)]. 3807 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(66,a,1095,a,b,3773,a)]. 3808 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(66,a,2579,a(flip),b,3773,a)]. 3809 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1518,a,3773,a(flip))]. 3810 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,3773,a(flip)),flip(a)]. 3811 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3773(a,1),2049(a,1,1))]. 3812 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3773(a,1),2075(a,2,2,1))]. 3813 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3773(a,1),2067(a,2,2,1))]. 3814 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3773(a,1),2808(a,1,1))]. 3815 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2068,a,3809,a)]. 3818 T(x,x / (y * x)) = T(x,y \ 1). [hyper(66,a,3306,a,b,3809,a)]. 3819 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(123,a,3809,a(flip),b,2063,a)]. 3820 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3809(a,1),2064(a,2,2))]. 3821 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3818(a,1),1071(a,1,2))]. 3822 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3805(a,2),3251(a,1,1))]. 3823 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(117(a,2),3810(a,1,2,1))]. 3824 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3819(a,2),203(a,2,1))]. 3825 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(885,a,3821,a),flip(a)]. 3826 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(138,a,3821,a)]. 3827 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(122,a,3821,a,b,xx)]. 3828 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(90(a,1),3821(a,2,2,1))]. 3829 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(368(a,2),3821(a,2,2)),flip(a)]. 3830 L(x,y,y \ 1) \ T(x,L(x,y,y \ 1) \ 1) = x * (a(1 / y,y,x) / x). [para(2965(a,1),3821(a,2,2,1))]. 3831 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [para(3029(a,1),3821(a,1,2))]. 3832 (x * y) * ((y * x) * (K(y,x) / (y * x))) = T(y * x,(x * y) \ 1). [para(21(a,2),3826(a,1,2,2,1))]. 3834 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1281(a,2),3795(a,1,1)),flip(a)]. 3835 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(66,a,1053,a(flip),b,3804,a)]. 3836 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3804(a,2),46(a,1))]. 3837 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3804(a,1),1313(a,1,1)),flip(a)]. 3838 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3820(a,1),2694(a,2,1,2))]. 3839 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1187,a,3828,a)]. 3840 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3835(a,1),1265(a,2,2,1,2))]. 3841 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(90(a,1),3829(a,2,2,2))]. 3842 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1276(a,1),3834(a,1,2))]. 3843 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1281(a,2),3777(a,2,2))]. 3844 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1429(a,1),3777(a,2,2))]. 3845 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(285,a,3805,a(flip),b,3811,a),flip(a)]. 3846 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3029(a,1),3811(a,1,1,2)),flip(a)]. 3847 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3823(a,2),46(a,1))]. 3849 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3839(a,1),431(a,1,2))]. 3850 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3289(a,1),3845(a,2,2,2,1))]. 3851 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3846(a,1),3822(a,1,1)),flip(a)]. 3852 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3781(a,1),834(a,1,1))]. 3853 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(285,a,3805,a(flip),b,3814,a),flip(a)]. 3854 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3773(a,1),3808(a,1,1))]. 3855 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3805(a,1),3812(a,1,1))]. 3856 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(14(a,1),3825(a,1,2,1)),flip(a)]. 3857 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(66,a,2927,a(flip),b,3856,a),flip(a)]. 3858 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(200(a,2),3857(a,1,2))]. 3859 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3858(a,1),786(a,1,1)),flip(a)]. 3860 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3070(a,1),3841(a,1,2))]. 3861 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3804(a,1),3837(a,1,2,1)),flip(a)]. 3862 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(447,a,3861,a),flip(a)]. 3863 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3844(a,2),46(a,1))]. 3864 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(66,a,3778,a(flip),b,3859,a)]. 3865 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(66,a,2183,a(flip),b,3864,a)]. 3866 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(14(a,1),3865(a,1,1,1)),flip(a)]. 3867 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(14(a,1),3866(a,1,1,1)),flip(a)]. 3868 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(66,a,3664,a(flip),b,3786,a)]. 3869 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2954(a,1),3868(a,2,1))]. 3870 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(66,a,3867,a(flip),b,3869,a),flip(a)]. 3871 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3227(a,1),3862(a,1,2))]. 3872 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(285,a,271,a(flip),b,3755,a)]. 3873 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(21(a,2),3852(a,2,1))]. 3874 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(66,a,3748,a(flip),b,3736,a),flip(a)]. 3875 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2394(a,1),3874(a,1,3)),flip(a)]. 3876 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1906(a,1),3875(a,1,2)),flip(a)]. 3878 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1906(a,1),3876(a,1,3)),flip(a)]. 3879 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(285,a,3853,a,b,3850,a),flip(a)]. 3880 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3029(a,1),3879(a,2,1,2))]. 3881 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(66,a,1413,a(flip),b,3840,a),flip(a)]. 3882 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(116(a,1),3881(a,2,1,2))]. 3883 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3779(a,1),3790(a,2,2))]. 3884 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [hyper(285,a,3714,a(flip),b,3746,a),flip(a)]. 3885 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2831(a,1),3838(a,1,1,1))]. 3886 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3720(a,1),3885(a,1,1,1))]. 3887 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(118(a,1),3886(a,1,1))]. 3888 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3827(a,1),3887(a,2,1))]. 3889 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(285,a,17,a(flip),b,3888,a),flip(a)]. 3890 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(38,a,2852,a(flip),b,3888,a)]. 3892 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2416,a,3889,a)]. 3894 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3889(a,1),2647(a,1,1)),flip(a)]. 3895 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(285,a,278,a,b,3890,a),flip(a)]. 3896 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(154(a,2),3890(a,2,2,1)),flip(a)]. 3897 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2401,a,3895,a)]. 3898 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(3895(a,1),3634(a,1,1)),flip(a)]. 3900 x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. [para(3897(a,1),2405(a,1))]. 3902 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3898(a,1),2946(a,1,2))]. 3903 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(117(a,1),3902(a,1,2,1,2))]. 3904 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [hyper(124,a,3903,a(flip),b,404,a),flip(a)]. 3906 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),3725(a,1,2))]. 3907 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(66,a,3656,a(flip),b,3728,a)]. 3908 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3906,a)]. 3909 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3654,a,3908,a),flip(a)]. 3911 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2409(a,2),3909(a,1,3))]. 3912 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(487(a,1),3593(a,2,2))]. 3913 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,3239,a(flip),b,3912,a),flip(a)]. 3914 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(487(a,1),3913(a,1,2))]. 3916 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1906(a,1),3680(a,2,2))]. 3917 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(87(a,1),3916(a,1,1))]. 3919 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(285,a,3889,a(flip),b,3917,a),flip(a)]. 3920 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(324(a,1),3919(a,1,2,2,2))]. 3921 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(66,a,3721,a(flip),b,3920,a)]. 3922 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2855,a,3921,a)]. 3923 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [hyper(2412,a,3921,a)]. 3924 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3922(a,1),3634(a,1,1)),flip(a)]. 3925 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (1 / T(y \ 1,z))). [para(3238(a,1),3923(a,1,2))]. 3926 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(66,a,2999,a(flip),b,3924,a)]. 3927 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (T(1 / y,z) \ 1)). [para(2380(a,1),3925(a,2,2,2))]. 3928 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ T(1 / y,z). [para(87(a,1),3927(a,2,2))]. 3930 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),3724(a,1,2,1))]. 3931 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3646(a,1),3930(a,1,2))]. 3932 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(770,a,3931,a)]. 3933 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3654,a,3932,a),flip(a)]. 3935 a(1 / x,y,z) = a(x \ 1,y,z). [para(1103(a,1),3933(a,1,1)),flip(a)]. 3936 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2646(a,1),3933(a,1,1)),flip(a)]. 3937 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [hyper(66,a,2965,a,b,3935,a)]. 3938 ((1 / x) * (x / y)) * y = a(x \ 1,x / y,y). [hyper(66,a,865,a,b,3935,a)]. 3939 a(x \ 1,x / y,y) / y = (1 / x) * (x / y). [hyper(123,a,3935,a(flip),b,865,a)]. 3940 a(x \ 1,x / y,y) \ y = L(y,x / y,x \ 1). [para(3935(a,1),3665(a,1,1))]. 3941 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3763(a,1),262(a,1))]. 3942 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3941,a,3813,a)]. 3943 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3815(a,1),3942(a,1,1)),flip(a)]. 3944 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3029(a,1),3943(a,1,2,1,2)),flip(a)]. 3945 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3029(a,1),3944(a,1,1)),flip(a)]. 3946 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(14(a,1),3945(a,1,2,2)),flip(a)]. 3947 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(14(a,1),3946(a,1,2)),flip(a)]. 3948 L(x,y \ T(y,z),y) = x. [hyper(690,a,3947,a)]. 3950 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(135,a,3947,a)]. 3951 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(37,a,996,a,b,3947,a),flip(a)]. 3954 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3770(a,2),3947(a,1,2,1))]. 3955 T(x,y) * y = x * ((x * y) / x). [para(3772(a,1),3947(a,1,2)),flip(a)]. 3957 L(x,y,y \ T(y,z)) = x. [hyper(3435,a,3948,a)]. 3958 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(122,a,3948,a(flip),b,3512,a)]. 3959 L(x,T(y,T(z,y)) \ y,z) = x. [para(3788(a,2),3948(a,1,2))]. 3962 L(x,y,T(z,T(y,z)) \ z) = x. [para(3788(a,2),3957(a,1,3))]. 3963 L(x,T(y,z) \ y,(y * z) / y) = x. [para(208(a,1),3959(a,1,2,1,2))]. 3964 T(x,y) * (x \ y) = (x * y) / x. [hyper(1015,a,3955,a)]. 3965 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1003,a,3955,a),flip(a)]. 3967 T(x,x / (x / y)) = T(x,y). [hyper(38,a,1335,a,b,3955,a)]. 3968 T(x,x \ y) * (x \ y) = x * (y / x). [para(15(a,1),3955(a,2,2,1))]. 3970 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3955(a,2),1578(a,1,1,1))]. 3971 T(x,y) = (x / y) * ((x * y) / x). [hyper(66,a,1045,a,b,3967,a),flip(a)]. 3972 T(x,x / (1 / y)) = T(x,x * y). [hyper(66,a,1341,a(flip),b,3967,a)]. 3973 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(66,a,1060,a(flip),b,3967,a)]. 3974 (x / y) \ T(x,y) = (x * y) / x. [hyper(122,a,3967,a(flip),b,1045,a)]. 3975 T(x,x / y) = T(x,y \ x). [para(87(a,1),3967(a,1,2,2))]. 3976 T(x,(y \ x) \ x) = T(x,y). [para(181(a,1),3967(a,1,2)),flip(a)]. 3977 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3967(a,1),1221(a,1,1))]. 3978 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1186,a,3975,a)]. 3979 T(x,T(y,y \ x)) = T(x,y). [para(117(a,2),3976(a,1,2))]. 3980 T(x * y,T(x,y)) = T(x * y,x). [para(14(a,1),3979(a,1,2,2))]. 3981 T(x / y,T(y,x)) = y \ x. [hyper(224,a,744,a,b,3964,a)]. 3982 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(224,a,745,a(flip),b,3964,a)]. 3984 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3964(a,1),23(a,2,1)),flip(a)]. 3985 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(97(a,1),3964(a,1,2))]. 3987 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3964(a,1),3209(a,1,1,1))]. 3988 T(x \ y,T(x,y)) = T(x \ y,x). [para(3981(a,1),231(a,1,1)),flip(a)]. 3989 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3981(a,1),1708(a,1,1)),flip(a)]. 3991 T(x / y,(x * y) / x) = y \ x. [hyper(224,a,3971,a(flip),b,1033,a(flip))]. 3993 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3972(a,1),1325(a,1,1))]. 3994 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(16(a,1),3974(a,1,1)),flip(a)]. 3995 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(285,a,117,a,b,3982,a),flip(a)]. 3997 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [hyper(124,a,3988,a(flip),b,27,a(flip))]. 3999 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3988(a,2),398(a,1,2,2))]. 4001 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(122,a,3963,a(flip),b,3883,a),flip(a)]. 4002 R(x,x \ T(x,y),z) = x. [hyper(700,a,3950,a)]. 4003 R(x,x \ (K(y,x) \ x),z) = x. [para(3834(a,1),4002(a,1,2,2))]. 4004 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(66,a,3855,a(flip),b,3951,a),flip(a)]. 4005 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(66,a,3540,a(flip),b,3951,a),flip(a)]. 4007 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(14(a,1),3958(a,2,2))]. 4011 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3965(a,2),47(a,1))]. 4012 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(122,a,3821,a,b,3968,a)]. 4013 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(66,a,3951,a,b,3968,a)]. 4014 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(66,a,281,a(flip),b,3968,a)]. 4015 T(x,x \ y) * y = x * (x * (y / x)). [hyper(124,a,3968,a(flip),b,993,a),flip(a)]. 4019 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(185,a,4007,a)]. 4020 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(124,a,4014,a(flip),b,1065,a),flip(a)]. 4021 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(123,a,4015,a(flip),b,1204,a)]. 4022 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3284,a,4019,a)]. 4023 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4019(a,1),307(a,1,1)),flip(b)]. 4024 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4019(a,1),3873(a,1,1)),flip(a)]. 4026 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(66,a,3447,a(flip),b,4022,a)]. 4027 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3774(a,1),3987(a,1,1))]. 4028 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(285,a,3973,a(flip),b,3993,a),flip(a)]. 4029 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4028(a,1),223(a,1,2))]. 4030 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4028(a,1),985(a,1,2)),flip(a)]. 4032 (T(x,y) \ x) * (x * y) = y * x. [hyper(37,a,3977,a(flip),b,3954,a),flip(a)]. 4033 K(x,y) = T(T(y,x) \ y,y * x). [hyper(224,a,4032,a,b,96,a),flip(a)]. 4034 (x * y) / (y * x) = T(y,x) \ y. [hyper(135,a,4032,a)]. 4035 T(x,y / x) \ x = y / (x * (y / x)). [hyper(123,a,17,a(flip),b,4032,a),flip(a)]. 4036 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4032(a,1),294(a,1,1)),flip(b)]. 4038 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(15(a,1),4033(a,2,2)),flip(a)]. 4039 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(42,a,3870,a,b,4034,a(flip))]. 4040 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(17(a,1),4034(a,1,2)),flip(a)]. 4042 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2179(a,1),4039(a,1,2))]. 4043 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3801(a,1),4038(a,1,1))]. 4044 T(x \ T(x * y,y),x) = R(y,x,y). [para(3994(a,1),713(a,2,1)),flip(a)]. 4045 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3994(a,1),724(a,1,1))]. 4046 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4045(a,1),98(a,1,1))]. 4048 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(138,a,4001,a)]. 4050 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3176(a,1),4001(a,1,2))]. 4051 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(38,a,418,a,b,4030,a)]. 4052 (x * (y / x)) / y = (x \ y) \ (y / x). [para(118(a,1),4040(a,1,1)),flip(a)]. 4053 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(285,a,3799,a(flip),b,4052,a),flip(a)]. 4054 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(66,a,3807,a(flip),b,4053,a),flip(a)]. 4055 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(66,a,3785,a,b,4048,a)]. 4056 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4050(a,1),3882(a,1,2,1))]. 4057 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3994(a,1),4051(a,1,1))]. 4059 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(15(a,1),4023(a,1,2))]. 4060 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(66,a,3999,a(flip),b,3989,a),flip(a)]. 4061 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(66,a,625,a(flip),b,4060,a),flip(a)]. 4062 K(x,T(y,y * x)) = K(x,y). [hyper(66,a,625,a(flip),b,4061,a),flip(a)]. 4064 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [hyper(66,a,3051,a(flip),b,4024,a)]. 4066 R(K(x,y),x,z) = K(x,y). [hyper(285,a,4024,a,b,4064,a)]. 4068 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4066(a,1),112(a,1,1)),flip(a)]. 4069 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4066(a,1),3504(a,1,1,1)),flip(a)]. 4070 L(x,y,K(y,z)) = x. [hyper(445,a,4068,a)]. 4071 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3347(a,1),4068(a,1,1))]. 4072 L(x,y,K(y,z)) != u | u = x. [para(4070(a,1),53(a,1)),flip(a)]. 4074 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1139,a,4026,a),flip(a)]. 4076 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(609,a,4054,a)]. 4077 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [hyper(124,a,4076,a(flip),b,117,a(flip))]. 4078 T(x,(x / y) \ 1) = T(x,x \ y). [para(90(a,1),4076(a,1,2,2)),flip(a)]. 4079 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4076(a,1),249(a,1,2))]. 4081 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4076(a,1),3801(a,1,1)),flip(a)]. 4082 (x / y) \ T(x,x \ y) = x * (y / x). [para(4078(a,1),3828(a,1,2))]. 4083 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(90(a,1),4077(a,1,2,2))]. 4084 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3029(a,1),4077(a,1,2))]. 4085 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3029(a,1),4079(a,1,2))]. 4086 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4082(a,1),1352(a,2,2,1))]. 4087 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4082(a,1),1666(a,1,1,2,1))]. 4088 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4076(a,1),4012(a,1,1))]. 4089 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2960(a,1),4088(a,2,2))]. 4090 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(66,a,3771,a(flip),b,4074,a)]. 4091 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4074(a,1),3793(a,1,1)),flip(a)]. 4092 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(66,a,4081,a(flip),b,4090,a)]. 4093 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(285,a,1266,a,b,4092,a)]. 4094 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(285,a,1110,a,b,4092,a)]. 4095 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(285,a,883,a(flip),b,4092,a),flip(a)]. 4096 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4092(a,2),23(a,2,1)),flip(a)]. 4098 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4092(a,2),1396(a,1,1))]. 4099 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4092(a,2),3250(a,2,2)),flip(a)]. 4100 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4094(a,2),3168(a,1,1))]. 4101 T(x,y) \ x = y \ T(y,x). [para(3029(a,1),4095(a,1,1))]. 4102 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(285,a,3771,a(flip),b,4101,a),flip(a)]. 4104 (x * y) / x = y * (T(y,x) \ y). [hyper(124,a,4101,a,b,3768,a),flip(a)]. 4105 T(x,T(y,x)) = T(x,y). [hyper(42,a,3788,a,b,4101,a)]. 4106 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [hyper(124,a,2437,a,b,4101,a(flip))]. 4107 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4101(a,2),3947(a,1,2,1))]. 4108 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4101(a,2),3951(a,1,1)),flip(a)]. 4109 K(x,y) = T(x \ T(x,y),y * x). [para(4101(a,1),4033(a,2,1))]. 4110 x * (T(x,y) \ y) = T(y,x). [hyper(1063,a,4105,a)]. 4111 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(635,a,4105,a),flip(a)]. 4112 T(x,x \ y) \ y = T(x \ y,x). [hyper(634,a,4105,a)]. 4113 T(x,y) \ (x * y) = T(y,x). [hyper(633,a,4105,a)]. 4114 T((T(x,y) * y) / T(x,y),x) = y. [hyper(426,a,4105,a)]. 4115 R(T(x,x * y),y,x) = T(x,y). [hyper(66,a,4028,a,b,4105,a)]. 4116 (x / T(y,x)) * y = T(x,y). [hyper(66,a,3973,a,b,4105,a)]. 4118 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(66,a,4042,a(flip),b,4105,a),flip(a)]. 4119 T(x,y) * T(y,x) = x * y. [hyper(124,a,4105,a(flip),b,220,a)]. 4120 T(x,y) / y = x / T(y,x). [hyper(123,a,4105,a(flip),b,3973,a)]. 4121 T(x,y) \ y = x \ T(y,x). [hyper(122,a,4105,a(flip),b,1018,a),flip(a)]. 4122 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(28(a,1),4105(a,1,2))]. 4123 T(x,y / x) = T(x,x \ y). [para(118(a,1),4105(a,1,2)),flip(a)]. 4124 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4105(a,1),221(a,1,2,1))]. 4126 (x * y) / T(y,x) = T(x,y). [para(4105(a,1),251(a,1,2))]. 4127 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4105(a,1),222(a,1,2,1))]. 4128 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4105(a,1),223(a,1,2,1))]. 4129 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(4105(a,1),282(a,1,1)),flip(a)]. 4130 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(664(a,1),4105(a,1,2))]. 4131 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4105(a,1),591(a,1,2,1,1))]. 4133 T(x,y) * (y * x) = x * (x * y). [para(4105(a,1),3977(a,1,1))]. 4134 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4105(a,1),4029(a,1,2)),flip(a)]. 4136 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [hyper(124,a,4110,a(flip),b,2894,a)]. 4140 T(x,y) = (x \ (y * x)) \ (y * x). [para(27(a,1),4113(a,1,1)),flip(a)]. 4141 x * T(y,z) != z * y | T(z,y) = x. [para(4113(a,1),134(a,1,2)),flip(b)]. 4143 T(x / T(y,x),y) = y \ T(x,y). [hyper(224,a,4116,a,b,15,a)]. 4144 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(123,a,4105,a(flip),b,4116,a)]. 4145 T(x,y) = (x * (x * y)) / (y * x). [hyper(66,a,1223,a,b,4116,a),flip(a)]. 4147 T(x,y) * (x \ T(y,x)) = y. [hyper(1015,a,4119,a)]. 4148 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(124,a,4119,a(flip),b,176,a)]. 4149 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4119(a,1),19(a,2,1,2)),flip(a)]. 4150 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4119(a,1),19(a,2,2,1)),flip(a)]. 4151 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4119(a,1),23(a,2,1)),flip(a)]. 4152 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4119(a,1),105(a,2,1))]. 4153 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4119(a,1),475(a,2,2))]. 4154 (T(x,y) / y) \ x = T(y,x). [hyper(180,a,4120,a(flip))]. 4155 x / (y \ T(x,y)) = T(y,x). [hyper(185,a,4121,a)]. 4157 x * (T(x,y) \ y) != z | T(y,x) = z. [para(4121(a,2),240(a,1,2)),flip(b)]. 4158 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4121(a,1),94(a,1,1,2,1))]. 4159 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4121(a,2),1435(a,2,1))]. 4160 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4121(a,1),1828(a,1,2,1))]. 4161 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4121(a,1),1727(a,1,2,1))]. 4162 T(x,y / x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4123,a),flip(a)]. 4163 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(66,a,731,a,b,4123,a)]. 4164 (x / y) * T(y,y \ x) = y * (x / y). [hyper(124,a,4123,a(flip),b,27,a(flip))]. 4165 (x * (y / x)) / T(x,x \ y) = y / x. [para(4123(a,1),179(a,1,2))]. 4166 x / T(y,x / y) = y \ x. [para(4123(a,2),249(a,1,2))]. 4167 T(x,y / x) != z | (x \ y) \ y = z. [para(4123(a,2),632(a,1))]. 4169 (x * (y / x)) * x = y * T(x,x \ y). [para(4123(a,1),857(a,2,2))]. 4170 T(x,T(y,x / y)) = T(x,y). [para(4123(a,2),3979(a,1,2))]. 4171 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(32(a,2),4126(a,1,2))]. 4172 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4126(a,1),744(a,1,1)),flip(a)]. 4174 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4154(a,1),312(a,1,2,1,2))]. 4175 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ T(1,y),(y \ T(1,y)) \ 1) / T(y,1). [para(4155(a,1),2735(a,2,2))]. 4178 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4162(a,1),857(a,2,2))]. 4179 x / T(y \ x,y) = (y \ x) \ x. [para(87(a,1),4166(a,1,2,2))]. 4180 T(x * y,T(y,x)) = T(x * y,y). [para(16(a,1),4170(a,1,2,2))]. 4181 T(x,x * (y / x)) = T(x,y). [hyper(45,a,731,a,b,4115,a),flip(a)]. 4182 T(x,y * x) = T(x,x * y). [hyper(45,a,727,a,b,4115,a)]. 4183 R(T(x,y),x \ y,x) = T(x,x \ y). [para(15(a,1),4115(a,1,1,2))]. 4184 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4181(a,1),3965(a,2,1))]. 4185 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4181(a,1),4116(a,1,1,2))]. 4186 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4181(a,1),4147(a,1,1))]. 4187 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(66,a,32,a,b,4182,a)]. 4188 T(x,(x \ y) * x) = T(x,y). [para(15(a,1),4182(a,2,2))]. 4189 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4182(a,1),28(a,1,1))]. 4190 x * T(y,x * y) = L(y,x,y) * x. [para(4182(a,2),667(a,1,2))]. 4191 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4182(a,1),752(a,1,2))]. 4192 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4182(a,2),671(a,1,2,1))]. 4193 K(x,T(y,x * y)) = K(x,y). [para(4182(a,2),4062(a,1,2))]. 4194 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(124,a,4188,a(flip),b,753,a),flip(a)]. 4195 T(x \ y,x * (y / x)) = T(x \ y,y). [para(4014(a,1),4188(a,1,2))]. 4196 K(x,T(x \ y,y)) = K(x,x \ y). [para(15(a,1),4193(a,1,2,2))]. 4197 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(285,a,3802,a,b,4104,a),flip(a)]. 4198 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),208(a,1,1))]. 4199 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4104(a,2),4050(a,1,2)),flip(a)]. 4200 T(x / (x / y),y \ x) = y. [para(3802(a,2),4198(a,1,1))]. 4201 (x / (x / y)) * (y \ x) = (y \ x) * y. [hyper(124,a,4200,a(flip),b,27,a(flip)),flip(a)]. 4202 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4200(a,1),28(a,1,1)),flip(a)]. 4203 T(x / (x / (x / y)),y) = x / y. [para(90(a,1),4200(a,1,2))]. 4205 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(285,a,3845,a(flip),b,4109,a)]. 4206 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4111(a,1),695(a,1,1))]. 4207 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(285,a,4044,a(flip),b,4112,a),flip(a)]. 4208 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2917(a,1),4112(a,1,1)),flip(a)]. 4209 T(x,(1 / x) * y) = T(x,x \ y). [hyper(66,a,2954,a,b,4118,a)]. 4210 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(66,a,2903,a(flip),b,4118,a),flip(a)]. 4211 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(15(a,1),4118(a,1,2)),flip(a)]. 4212 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4118(a,1),3872(a,2,1,2))]. 4213 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4133(a,1),858(a,1,1))]. 4214 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4133(a,1),1574(a,2,2,1)),flip(a)]. 4215 ((x / y) * x) / (y * (x / y)) = T(x / y,y). [para(17(a,1),4145(a,2,1,2)),flip(a)]. 4216 (x * (y / x)) / x = y / (y / (y / x)). [hyper(254,a,4203,a)]. 4217 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4203(a,1),702(a,1,1))]. 4218 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(15(a,1),4209(a,1,2)),flip(a)]. 4219 x / T(y,(1 / y) * x) = y \ x. [para(4209(a,2),249(a,1,2))]. 4220 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(4211(a,1),3979(a,1,2))]. 4221 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [hyper(124,a,4218,a(flip),b,117,a(flip))]. 4222 T(x,T(y,x)) != z | T(x,y) = z. [para(1018(a,1),4157(a,1))]. 4223 T(x,x \ y) != z | T(x,y / x) = z. [para(118(a,1),4222(a,1,2))]. 4225 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4183,a),flip(a)]. 4227 L(x,y,(y * x) / y) = L(x,y,x). [hyper(871,a,4190,a)]. 4228 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(755,a,4190,a)]. 4229 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(754,a,4190,a)]. 4230 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4190,a)]. 4231 (x * (y * x)) / x = L(x,y,x) * y. [hyper(66,a,741,a,b,4190,a)]. 4232 T(L(x,y,x) * y,x) = y * x. [para(4190(a,1),738(a,1,1))]. 4233 (L(x,y,x) * y) * x = x * (y * x). [para(4190(a,1),739(a,1,1))]. 4234 T(x,L(x,y,x) * y) = T(x,y * x). [para(4232(a,1),4105(a,1,2)),flip(a)]. 4236 T((x * y) / x,L(x,y,x)) = y. [hyper(1577,a,4229,a)]. 4237 T(x,L(y,x,y)) = T(x,y). [para(4236(a,1),253(a,1,1)),flip(a)]. 4238 T(x,T(y,y * x)) = T(x,y). [hyper(66,a,4130,a,b,4237,a)]. 4239 L(x,y,x) * T(y,x) = y * L(x,y,x). [hyper(124,a,4237,a(flip),b,27,a(flip))]. 4241 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4238(a,1),222(a,1,2,1))]. 4242 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4238(a,1),223(a,1,2,1))]. 4245 L(R(x,y,x),y,x) = x. [hyper(38,a,472,a,b,4233,a(flip))]. 4247 R(x,y,T(x,y)) = R(x,y,x). [hyper(44,a,1059,a,b,4245,a)]. 4248 x \ T(y * x,y) = R(y,x,y). [hyper(44,a,450,a,b,4245,a)]. 4250 x * R(y,x,y) = T(y * x,y). [hyper(124,a,4247,a(flip),b,1057,a)]. 4251 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4105(a,1),4247(a,1,3))]. 4252 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(15(a,1),4248(a,1,2,1)),flip(a)]. 4253 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4248(a,1),105(a,1,1)),flip(a)]. 4254 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4250(a,1),304(a,1,2)),flip(b)]. 4255 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4250(a,1),1633(a,1,1))]. 4256 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4250(a,1),2550(a,2,1))]. 4257 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(285,a,4182,a(flip),b,4234,a),flip(a)]. 4258 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(672(a,1),4234(a,1,2))]. 4259 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4257(a,1),1220(a,1,1))]. 4260 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(87(a,1),4100(a,1,1,1,2)),flip(a)]. 4261 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(66,a,4035,a(flip),b,4102,a)]. 4262 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(37,a,1064,a,b,4107,a),flip(a)]. 4263 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(285,a,4048,a,b,4108,a)]. 4264 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4159(a,2),4145(a,2,2)),flip(a)]. 4265 (x * T(y,y \ x)) / y = y * (x / y). [hyper(66,a,1206,a,b,4164,a)]. 4266 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4120(a,1),4164(a,1,1))]. 4267 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(123,a,4169,a(flip),b,1203,a)]. 4268 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(122,a,4169,a(flip),b,645,a)]. 4270 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4178(a,1),275(a,1,1))]. 4271 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(66,a,28,a,b,4189,a),flip(a)]. 4272 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1705(a,1),4189(a,1,1)),flip(a)]. 4273 T(x / (x / y),x) = L(y,y \ x,y). [para(4197(a,1),676(a,1,1))]. 4274 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4273(a,1),28(a,1,1)),flip(a)]. 4275 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4273(a,2),34(a,1,1))]. 4276 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(66,a,1231,a,b,4201,a)]. 4277 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4239(a,1),47(a,1)),flip(a)]. 4278 K(x \ y,x) \ x = x * K(x,y / x). [hyper(66,a,3810,a(flip),b,4260,a),flip(a)]. 4281 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(4134(a,1),294(a,1,1)),flip(b)]. 4282 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2835(a,2),4106(a,1,2))]. 4283 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(122,a,4119,a(flip),b,4124,a)]. 4284 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(30(a,2),4283(a,1,1))]. 4285 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(632,a,4210,a),flip(a)]. 4286 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(15(a,1),4285(a,1,2)),flip(a)]. 4287 ((x / y) * x) / (y * (x / y)) = y \ x. [hyper(285,a,118,a(flip),b,4215,a),flip(a)]. 4288 (x * (y / x)) \ ((y / x) * y) = T(x \ y,x * (y / x)). [para(4287(a,1),118(a,1,1)),flip(a)]. 4289 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(285,a,4188,a(flip),b,4258,a),flip(a)]. 4290 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4289(a,1),1218(a,1,1))]. 4291 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(285,a,1265,a(flip),b,4262,a)]. 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(66,a,1302,a,b,4263,a)]. 4294 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(285,a,28,a,b,4272,a),flip(a)]. 4295 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(124,a,994,a(flip),b,4292,a)]. 4296 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(66,a,1300,a,b,4295,a)]. 4297 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(285,a,999,a,b,4296,a),flip(a)]. 4298 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(285,a,30,a,b,4274,a),flip(a)]. 4299 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(285,a,3795,a(flip),b,4091,a),flip(a)]. 4300 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4222,a,4299,a),flip(a)]. 4301 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4222,a,4300,a),flip(a)]. 4303 T(x,y / (z * y)) = T(x,z \ 1). [para(14(a,1),4301(a,1,2,1))]. 4304 T(x,(y / z) \ 1) = T(x,z / y). [para(90(a,1),4301(a,1,2,1)),flip(a)]. 4306 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(4167,a,4303,a),flip(a)]. 4311 x / T(y * x,y \ 1) = (y * x) \ x. [para(4303(a,1),4166(a,1,2))]. 4312 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4304(a,1),3880(a,1,1,2))]. 4313 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(66,a,3029,a(flip),b,4306,a)]. 4314 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(124,a,3029,a(flip),b,4306,a(flip))]. 4315 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(90(a,1),4306(a,1,2))]. 4316 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(66,a,2180,a(flip),b,4313,a),flip(a)]. 4317 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4313(a,2),4111(a,2,1))]. 4318 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(224,a,4314,a,b,15,a)]. 4320 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4315(a,2),4111(a,2,1))]. 4321 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(285,a,4094,a(flip),b,4098,a),flip(a)]. 4322 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(662(a,1),4127(a,1,2))]. 4323 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(285,a,4239,a(flip),b,4322,a),flip(a)]. 4325 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4182(a,2),4323(a,1,2))]. 4326 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(66,a,674,a,b,4325,a)]. 4328 L(x,T(y,x),x) = L(x,y,x). [hyper(4277,a,4326,a),flip(a)]. 4329 T(x * L(y,x,y),y) = T(x,y) * y. [para(4326(a,1),4232(a,1,1))]. 4330 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(285,a,4228,a,b,4328,a)]. 4331 L(x,y / x,x) = L(x,x \ y,x). [para(118(a,1),4328(a,1,2)),flip(a)]. 4332 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(664(a,1),4328(a,1,2))]. 4333 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4128(a,1),212(a,1,1,2))]. 4334 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4115(a,1),4128(a,1,2)),flip(a)]. 4335 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4163(a,1),4128(a,1,2)),flip(a)]. 4336 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4183(a,1),4128(a,1,2)),flip(a)]. 4337 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1440(a,1),4186(a,1,2))]. 4338 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4120(a,1),4337(a,1,2))]. 4339 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4338(a,1),46(a,1)),flip(a)]. 4341 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4118(a,1),4205(a,1,2,2,1))]. 4342 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(138,a,4341,a),flip(a)]. 4343 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3847,a,4342,a)]. 4344 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4343(a,1),433(a,1,2))]. 4345 K(x * y,T(y,x)) = K(y * x,y). [hyper(310,a,4213,a),flip(a)]. 4346 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4213(a,1),310(a,1))]. 4347 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(285,a,3851,a(flip),b,4321,a),flip(a)]. 4348 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1770(a,1),4171(a,1,2,1))]. 4349 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4192(a,1),1687(a,1,1))]. 4350 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(285,a,4255,a(flip),b,4334,a),flip(a)]. 4351 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4350(a,1),4253(a,1,2))]. 4352 R(x,y / x,x) = R(x,x \ y,x). [hyper(38,a,4335,a,b,4336,a)]. 4354 R(x,(x * y) / x,x) = R(x,y,x). [para(14(a,1),4352(a,2,2))]. 4355 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4352(a,1),467(a,1,1))]. 4356 R(x,T(y,x),x) = R(x,y,x). [para(209(a,1),4354(a,1,2)),flip(a)]. 4357 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(66,a,4251,a,b,4356,a)]. 4358 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4357(a,1),32(a,2,1))]. 4359 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4357(a,1),36(a,1,1)),flip(a)]. 4361 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(285,a,32,a,b,4358,a),flip(a)]. 4362 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4361(a,1),32(a,2,1))]. 4364 (x * (y / x)) \ ((y / x) * y) = T(x \ y,y). [hyper(285,a,4195,a(flip),b,4288,a),flip(a)]. 4365 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(66,a,1283,a(flip),b,4291,a),flip(a)]. 4366 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3029(a,1),4347(a,1,1,1)),flip(a)]. 4367 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(185,a,4366,a)]. 4368 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(66,a,3338,a(flip),b,4367,a)]. 4369 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(718(a,1),4368(a,1,1,1,1)),flip(a)]. 4370 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(285,a,32,a,b,4362,a),flip(a)]. 4371 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4359(a,1),4148(a,1,1)),flip(a)]. 4372 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(285,a,638,a(flip),b,4217,a),flip(a)]. 4373 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4216(a,2),4372(a,1,2))]. 4374 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(16(a,1),4312(a,1,1,2,2))]. 4375 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(66,a,3220,a(flip),b,4374,a),flip(a)]. 4376 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4375(a,1),3782(a,1,1))]. 4377 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3798,a,4376,a)]. 4378 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(92(a,1),4376(a,1,2))]. 4380 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(117(a,1),4378(a,1,1,2))]. 4381 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(185,a,4380,a)]. 4382 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(285,a,4053,a,b,4381,a)]. 4384 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(285,a,242,a(flip),b,4377,a),flip(a)]. 4385 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3843(a,1),4384(a,1,3))]. 4386 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(285,a,452,a(flip),b,4385,a),flip(a)]. 4387 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4386(a,1),3383(a,1,2,2,1,2))]. 4389 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3951(a,1),4004(a,2,2))]. 4390 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2925(a,1),4005(a,1,2))]. 4391 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(66,a,3503,a(flip),b,4390,a),flip(a)]. 4392 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(285,a,4124,a(flip),b,4172,a),flip(a)]. 4393 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(285,a,4013,a(flip),b,4212,a),flip(a)]. 4394 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(66,a,2534,a(flip),b,4267,a),flip(a)]. 4395 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(414(a,1),4387(a,1,2)),flip(a)]. 4397 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,4395,a)]. 4398 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [hyper(123,a,82,a(flip),b,4395,a)]. 4399 L(x,y,K(z,y)) = x. [para(115(a,1),4397(a,1,2))]. 4400 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1176,a,4399,a),flip(a)]. 4401 a(K(x,y),y,z) = 1. [hyper(56,a,4399,a)]. 4402 L(x,y,T(y,z) \ y) = x. [para(3175(a,1),4399(a,1,3))]. 4403 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4402(a,1),3871(a,1,2)),flip(a)]. 4404 L(x,T(y,z) \ y,y) = x. [hyper(285,a,15,a(flip),b,4403,a),flip(a)]. 4408 L(x,K(y,z),z) = x. [para(4093(a,2),4404(a,1,2))]. 4409 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1176,a,4408,a),flip(a)]. 4411 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4408(a,1),178(a,1,2))]. 4413 R(K(x,y),y,z) = K(x,y). [hyper(475,a,4400,a)]. 4414 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3186(a,1),4400(a,1,1))]. 4415 R(x,K(y,x),z) = x. [hyper(475,a,4409,a)]. 4416 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4409(a,1),23(a,2,1)),flip(a)]. 4418 R(T(x,y),K(z,x),u) = T(x,y). [para(4415(a,1),32(a,2,1))]. 4419 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4415(a,1),471(a,1,1,1)),flip(a)]. 4420 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4415(a,1),473(a,1,1,1)),flip(a)]. 4423 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(285,a,3842,a(flip),b,4418,a),flip(a)]. 4424 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(516,a,4414,a)]. 4425 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(285,a,152,a(flip),b,4414,a),flip(a)]. 4426 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(122,a,84,a(flip),b,4414,a)]. 4427 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(66,a,4409,a(flip),b,4414,a),flip(a)]. 4428 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(66,a,4409,a(flip),b,4425,a)]. 4430 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(66,a,3555,a(flip),b,4426,a),flip(a)]. 4431 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(124,a,3555,a(flip),b,4426,a(flip))]. 4433 R(x,K(y,x) \ 1,z) = x. [para(4430(a,1),4003(a,1,2))]. 4435 K(x \ y,x) \ 1 = K(x,y / x). [hyper(37,a,4278,a(flip),b,4431,a),flip(a)]. 4436 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(122,a,4431,a(flip),b,3472,a)]. 4438 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4431(a,1),176(a,1,2,1))]. 4439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(4431(a,1),3475(a,1,1))]. 4441 K(x,(x * y) / x) = K(y,x) \ 1. [para(14(a,1),4435(a,1,1,1)),flip(a)]. 4443 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(4436(a,1),884(a,1,2,1))]. 4444 K(T(x,y),y) \ 1 = K(y,x). [para(209(a,1),4441(a,1,2)),flip(a)]. 4446 K(T(x,y),y) * K(y,x) = 1. [hyper(138,a,4444,a)]. 4447 K(T(x,y),y) = K(y,x) \ 1. [hyper(42,a,2510,a,b,4444,a),flip(a)]. 4448 R(x,K(x,y),z) = x. [para(4444(a,1),4433(a,1,2))]. 4450 R(T(x,y),K(x,z),u) = T(x,y). [para(4448(a,1),32(a,2,1))]. 4451 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4448(a,1),472(a,1,1,1)),flip(a)]. 4452 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4448(a,1),473(a,1,1,1)),flip(a)]. 4454 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4448(a,1),3212(a,1,1)),flip(a)]. 4455 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4446(a,1),304(a,1,2)),flip(b)]. 4457 x * K(T(y,x),x) = K(x,y) \ x. [hyper(124,a,4447,a,b,3522,a)]. 4458 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4450(a,1),473(a,1,1,1)),flip(a)]. 4459 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(118(a,1),4455(a,1,1,1))]. 4460 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4447(a,2),4455(a,1))]. 4463 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4427(a,1),303(a,1))]. 4465 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),442(a,1,1))]. 4467 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(138,a,4439,a)]. 4468 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(66,a,4071,a(flip),b,4454,a)]. 4469 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(4467(a,1),2699(a,1,1)),flip(a)]. 4470 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4468(a,1),375(a,1,2))]. 4471 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4447(a,2),4459(a,1))]. 4472 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4027(a,2),4460(a,1))]. 4474 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(66,a,280,a(flip),b,4443,a),flip(a)]. 4475 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(176(a,1),4463(a,1,2,2))]. 4477 R(K(x,y),x,z) != u | K(x,y) = u. [para(4024(a,2),4472(a,1))]. 4478 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3195(a,1),4420(a,1,1))]. 4479 T(x,y * K(x,y)) = T(x,y). [hyper(4470,a,4424,a),flip(a)]. 4480 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4479(a,1),4349(a,2,2))]. 4481 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3354(a,1),4451(a,1,1))]. 4482 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(66,a,278,a(flip),b,4474,a),flip(a)]. 4483 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(4478(a,1),475(a,1))]. 4484 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3842(a,1),4423(a,1,1))]. 4485 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(66,a,3380,a(flip),b,4484,a)]. 4487 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(136,a,4485,a)]. 4488 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(285,a,4482,a(flip),b,4469,a),flip(a)]. 4489 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(4488(a,1),2320(a,1,2,2))]. 4490 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(66,a,4185,a(flip),b,4394,a),flip(a)]. 4491 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(285,a,1443,a(flip),b,4490,a),flip(a)]. 4492 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(37,a,4266,a,b,4491,a)]. 4493 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4492(a,1),249(a,1,2))]. 4494 T(x,T(x,y) \ y) = T(x,x \ y). [para(4121(a,2),4492(a,1,2))]. 4495 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(14(a,1),4493(a,1,2,2))]. 4496 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(285,a,4331,a(flip),b,3970,a),flip(a)]. 4497 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4375(a,1),4055(a,1,1))]. 4498 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4059,a,4497,a),flip(a)]. 4499 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4023,a,4497,a),flip(a)]. 4504 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(66,a,4365,a(flip),b,4498,a),flip(a)]. 4505 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(66,a,4262,a(flip),b,4498,a)]. 4509 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(122,a,15,a(flip),b,4499,a)]. 4510 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(66,a,4108,a,b,4499,a)]. 4511 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(122,a,4499,a(flip),b,4048,a),flip(a)]. 4512 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),3954(a,1,2)),flip(a)]. 4513 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),4107(a,1,2)),flip(a)]. 4515 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [hyper(124,a,4510,a(flip),b,4292,a)]. 4516 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4513(a,1),4151(a,1,2))]. 4517 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(66,a,838,a(flip),b,4505,a)]. 4518 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(66,a,3984,a(flip),b,4511,a),flip(a)]. 4519 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(15(a,1),4515(a,1,1,1)),flip(a)]. 4520 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(4515(a,1),95(a,1,1)),flip(a)]. 4521 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(447,a,4516,a),flip(a)]. 4522 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(66,a,4152,a(flip),b,4521,a)]. 4523 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(118(a,1),4521(a,1,2))]. 4524 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(691,a,4518,a),flip(a)]. 4525 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(13(a,1),4522(a,1,2)),flip(a)]. 4526 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(118(a,1),4522(a,2,1,1))]. 4527 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(285,a,212,a(flip),b,4520,a),flip(a)]. 4528 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4513(a,1),4150(a,1,1))]. 4529 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(647,a,4528,a),flip(a)]. 4530 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4528(a,1),647(a,1))]. 4531 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(285,a,473,a(flip),b,4371,a),flip(a)]. 4532 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1168(a,1),4531(a,1,1))]. 4533 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(122,a,4255,a(flip),b,4532,a(flip))]. 4534 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4433(a,1),4438(a,1,1))]. 4535 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(138,a,4534,a)]. 4536 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(37,a,4487,a(flip),b,4535,a),flip(a)]. 4538 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(2190,a,4536,a)]. 4540 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(128,a,4536,a)]. 4542 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [para(116(a,1),4536(a,1,2))]. 4543 L(x,K(y,z),K(T(z,y),y)) = x. [para(4444(a,1),4538(a,1,2))]. 4544 K(T(x,y),y) * z = K(y,x) \ z. [para(4444(a,1),4540(a,1,1)),flip(a)]. 4545 x / (x * K(y,x)) = K(y,x) \ 1. [hyper(123,a,3185,a(flip),b,4542,a)]. 4546 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(14(a,1),4496(a,2,2))]. 4547 L(x,y,T(x,y)) = L(x,y,x). [hyper(66,a,4214,a(flip),b,4546,a)]. 4548 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(4123(a,1),4526(a,1,2,1))]. 4549 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(285,a,4245,a(flip),b,4057,a),flip(a)]. 4551 T(x,x \ T(x * y,y)) = T(x,y). [para(4549(a,1),3995(a,1,2)),flip(a)]. 4552 K(x,x \ T(x * y,y)) = K(x,y). [para(4549(a,1),4196(a,1,2)),flip(a)]. 4553 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4551(a,1),4207(a,1,1))]. 4554 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(66,a,4046,a,b,4552,a),flip(a)]. 4555 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(27(a,1),4553(a,1,1))]. 4556 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4250(a,1),4554(a,2,1))]. 4557 K(x \ T(x * y,x),x) = K(y,x). [hyper(285,a,1448,a(flip),b,4556,a)]. 4558 K(x \ T(y,x),x) = K(x \ y,x). [para(15(a,1),4557(a,1,1,2,1))]. 4559 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(208(a,1),4558(a,1,1,2)),flip(a)]. 4560 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4199(a,2),4559(a,1,1))]. 4561 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4560(a,1),4056(a,1,2)),flip(a)]. 4562 T(x,(y \ x) * y) = x. [hyper(38,a,3985,a,b,4561,a(flip))]. 4563 T((x \ y) * x,y) = (x \ y) * x. [hyper(57,a,4562,a)]. 4564 T(x,y * (x / y)) = x. [para(90(a,1),4562(a,1,2,1))]. 4565 T(x * (y / x),y) = x * (y / x). [para(91(a,1),4562(a,1,2))]. 4566 T(T(x,y),z * (x / z)) = T(x,y). [para(4564(a,1),28(a,1,1)),flip(a)]. 4567 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4565(a,2),4382(a,1,1))]. 4568 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3857(a,1),4567(a,1,1,1)),flip(a)]. 4570 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3029(a,1),4136(a,1,2))]. 4571 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(66,a,2430,a,b,4570,a)]. 4572 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4571(a,2),1490(a,2,2,1,2))]. 4573 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(66,a,3027,a(flip),b,4208,a),flip(a)]. 4574 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(90(a,1),4573(a,1,1,2)),flip(a)]. 4575 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4110(a,1),4264(a,1,1,2))]. 4576 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(116(a,1),4575(a,1,1))]. 4577 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(285,a,4494,a(flip),b,4576,a),flip(a)]. 4578 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3388(a,1),4391(a,1,1)),flip(a)]. 4579 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4393(a,1),4568(a,1,2)),flip(a)]. 4580 ((x \ y) * x) / y = y / (x * (y / x)). [para(4563(a,1),4579(a,1,1))]. 4581 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(285,a,4261,a(flip),b,4580,a),flip(a)]. 4582 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2387(a,1),4574(a,2,1))]. 4583 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3610(a,1),4582(a,1,1))]. 4584 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4583(a,1),4529(a,1,1))]. 4585 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(66,a,4509,a(flip),b,4096,a)]. 4586 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(66,a,4533,a(flip),b,4351,a),flip(a)]. 4588 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4409(a,1),4416(a,1,2))]. 4589 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(66,a,4389,a(flip),b,4585,a)]. 4590 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4510(a,1),4589(a,1,2)),flip(a)]. 4592 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4590(a,2),556(a,1))]. 4594 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(993(a,1),4086(a,1,1,2,1))]. 4595 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(552,a,4489,a),flip(a)]. 4596 K(x,(y \ 1) \ 1) = K(x,y). [hyper(285,a,617,a(flip),b,4595,a)]. 4597 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(4595(a,2),618(a,1))]. 4598 K(x,1 / y) = K(x,y \ 1). [para(90(a,1),4596(a,1,2,1)),flip(a)]. 4599 K(x,1 / (1 / y)) = K(x,y). [para(184(a,1),4596(a,1,2)),flip(a)]. 4600 K(x,T(y / z,z / y)) = K(x,y / z). [para(1959(a,2),4596(a,1,2))]. 4601 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2379(a,2),4596(a,1,2))]. 4604 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3429(a,2),4596(a,1,2))]. 4609 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(66,a,1314,a,b,4599,a)]. 4610 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3612(a,1),4599(a,1,2))]. 4611 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(282(a,2),4601(a,1,2))]. 4612 K(x,T(L(1 / y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u) \ 1,w)). [para(2604(a,1),4601(a,1,2,1,1)),flip(a)]. 4613 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(3423(a,1),4601(a,1,2,1)),flip(a)]. 4614 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(66,a,3072,a,b,4610,a)]. 4615 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4320(a,1),4613(a,1,2)),flip(a)]. 4616 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4609(a,1,1,2))]. 4617 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3968(a,1),4594(a,1,1,2,1))]. 4618 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(90(a,1),4373(a,2,1,2))]. 4619 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(66,a,1088,a(flip),b,4256,a),flip(a)]. 4620 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2415(a,1),4619(a,1,1)),flip(a)]. 4621 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(123,a,4620,a(flip),b,1088,a)]. 4623 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),4465(a,1,2))]. 4624 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(66,a,4588,a(flip),b,4623,a),flip(a)]. 4625 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4348,a),flip(a)]. 4627 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3860(a,1),4614(a,1,2)),flip(a)]. 4628 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1154(a,1),4333(a,1,1))]. 4629 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1174(a,1),4628(a,1,2))]. 4630 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(647,a,4629,a),flip(a)]. 4631 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4529,a,b,4630,a)]. 4632 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4105(a,1),4631(a,1,1))]. 4633 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3027(a,1),4616(a,1,2,1,2))]. 4634 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4633(a,1,2,1))]. 4635 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3027(a,1),4634(a,2,1,2))]. 4636 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(116(a,1),4635(a,2,1))]. 4637 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(66,a,2210,a(flip),b,4636,a)]. 4638 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1880(a,1),4637(a,1,1,2))]. 4639 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(87(a,1),4638(a,1,1,2,2))]. 4640 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3025(a,2),4638(a,1,1))]. 4641 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(17(a,1),4640(a,2,1))]. 4642 K(K(x \ 1,x) * y,x) = K(y,x). [para(3008(a,1),4641(a,1,1))]. 4643 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(2621(a,1),4642(a,1,1,1))]. 4644 K(K(x,x \ 1) * y,x) = K(y,x). [para(2847(a,1),4642(a,1,1)),flip(a)]. 4645 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2915(a,1),4642(a,1,1))]. 4646 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2249(a,2),4644(a,1,1))]. 4647 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3001(a,1),4645(a,1,1))]. 4648 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2974(a,1),4643(a,1,1)),flip(a)]. 4649 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2947(a,1),4646(a,1,1,1))]. 4650 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(66,a,920,a,b,4647,a)]. 4651 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4598,a,b,4648,a)]. 4652 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(66,a,4627,a,b,4650,a),flip(a)]. 4653 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(285,a,4343,a(flip),b,4652,a),flip(a)]. 4654 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(285,a,4596,a(flip),b,4653,a),flip(a)]. 4655 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(66,a,4647,a,b,4654,a)]. 4656 K((x \ 1) * y,x) = K(x \ y,x). [para(14(a,1),4654(a,1,1,2)),flip(a)]. 4657 K((1 / x) * y,x) = K(x \ y,x). [para(14(a,1),4655(a,1,1,2)),flip(a)]. 4658 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4651,a(flip),b,4657,a),flip(a)]. 4659 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(27(a,2),4657(a,2,1))]. 4660 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(87(a,1),4657(a,1,1,1)),flip(a)]. 4661 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(890(a,1),4659(a,1,1))]. 4662 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(66,a,4649,a(flip),b,4661,a)]. 4663 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4662(a,1),4444(a,1,1))]. 4664 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4455,a,4663,a),flip(a)]. 4665 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(66,a,3122,a(flip),b,4664,a),flip(a)]. 4666 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2933(a,2),4664(a,1,2,1)),flip(a)]. 4667 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3342(a,1),3416(a,1,2)),flip(a)]. 4668 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(285,a,3379,a(flip),b,4667,a),flip(a)]. 4670 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(4668(a,1),3438(a,1,2)),flip(a)]. 4671 1 / (K(x,y) \ y) = K(x,y) / y. [para(1266(a,2),4670(a,1,1)),flip(a)]. 4672 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(180,a,4671,a)]. 4673 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),3049(a,1,1))]. 4674 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),4673(a,1,2,3))]. 4675 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2754(a,1),4674(a,1,2)),flip(a)]. 4676 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3045(a,1),4675(a,1,1))]. 4677 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1927(a,1),4676(a,1,2))]. 4678 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2437(a,1),4676(a,1,1)),flip(a)]. 4679 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(66,a,3035,a(flip),b,4677,a),flip(a)]. 4680 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(285,a,3099,a(flip),b,4679,a),flip(a)]. 4681 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(285,a,2712,a(flip),b,4680,a),flip(a)]. 4682 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(66,a,4681,a(flip),b,4678,a)]. 4683 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1927(a,1),4682(a,2,2))]. 4684 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(285,a,3035,a(flip),b,4683,a),flip(a)]. 4685 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(285,a,3375,a(flip),b,4684,a),flip(a)]. 4686 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3252(a,1),4685(a,1,1))]. 4687 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(66,a,3506,a(flip),b,4686,a)]. 4688 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(4687(a,1),835(a,1,1))]. 4689 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(66,a,457,a(flip),b,4688,a),flip(a)]. 4690 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(285,a,21,a,b,4689,a)]. 4691 L(K(x,y),y \ 1,y) = K(x,y). [para(21(a,2),4690(a,2,1)),flip(a)]. 4692 (1 / x) * K(y,x) = K(y,x) / x. [para(4691(a,1),3499(a,1,1)),flip(a)]. 4693 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(122,a,4692,a(flip),b,2085,a)]. 4695 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(90(a,1),3115(a,1,1,3))]. 4696 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2712(a,1),4695(a,1,1))]. 4697 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3760(a,1),4696(a,1,1)),flip(a)]. 4698 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(12(a,1),4697(a,2,1,1,2))]. 4699 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(90(a,1),4698(a,2,2))]. 4700 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3926(a,1),4699(a,1,1))]. 4701 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4700(a,1),46(a,1))]. 4702 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4165(a,1),4087(a,1,1,2)),flip(a)]. 4703 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(285,a,2775,a(flip),b,4702,a),flip(a)]. 4704 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4082(a,1),4703(a,1,3))]. 4705 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(90(a,1),4089(a,1,1,2))]. 4706 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(30(a,2),4705(a,1,1))]. 4707 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4706(a,1,1))]. 4708 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(90(a,1),4707(a,1,2,2,2))]. 4709 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(30(a,2),4708(a,1,2,2))]. 4710 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4709(a,1,2,2))]. 4711 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(14(a,1),4710(a,1,2))]. 4713 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ T(1,y)) \ 1) / T(y,1). [para(188(a,1),4175(a,2,1,2,2))]. 4714 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ 1) \ 1) / T(y,1). [para(188(a,1),4713(a,2,1,3,1,2))]. 4717 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / T(y,1). [para(2969(a,1),4714(a,2,1))]. 4718 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(186(a,1),4717(a,2,2))]. 4719 L(x / ((y \ 1) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4718(a,1,1,2,1,2))]. 4720 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4719(a,1,2,1,2))]. 4722 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) = L(x,y \ 1,y) / y. [para(188(a,1),4720(a,1,3,2))]. 4725 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3285(a,2),3302(a,2,2,2))]. 4726 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4725(a,1,1))]. 4727 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4726(a,1,2,1,3))]. 4728 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3962(a,1),4727(a,1,2,1))]. 4729 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),1259(a,1,2,2,1,1))]. 4730 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),4729(a,1,2,2,2))]. 4731 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),L(z,y,x)). [para(23(a,2),4730(a,2,2))]. 4732 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(17(a,1),2462(a,1,2,1))]. 4733 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(85(a,1),4732(a,1,2))]. 4735 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(311,a,4733,a),flip(a)]. 4738 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2556(a,1),4735(a,1,1))]. 4739 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(597(a,1),3501(a,1,1)),flip(a)]. 4740 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(597(a,1),4265(a,1,1,2))]. 4741 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(66,a,4276,a(flip),b,4740,a),flip(a)]. 4742 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(90(a,1),4739(a,1,2,1,1,1))]. 4743 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(37,a,2942,a,b,4742,a)]. 4744 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(123,a,3483,a(flip),b,4742,a(flip))]. 4745 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(124,a,4743,a(flip),b,2920,a)]. 4746 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4578(a,1),4744(a,1,2))]. 4747 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4746(a,1),288(a,1,1)),flip(a)]. 4748 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4745(a,1),3396(a,1,2))]. 4749 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(447,a,4748,a),flip(a)]. 4751 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(66,a,3668,a(flip),b,4749,a),flip(a)]. 4752 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(66,a,105,a(flip),b,4751,a),flip(a)]. 4753 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(4592,a,4752,a)]. 4755 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4753(a,1),3556(a,2,2))]. 4756 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(285,a,4747,a(flip),b,4755,a),flip(a)]. 4758 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(66,a,3884,a(flip),b,4756,a)]. 4759 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(209(a,1),4756(a,1,1,2,2))]. 4760 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4759(a,2),46(a,1))]. 4762 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,4758,a),flip(a)]. 4764 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4762(a,1),2988(a,1,2))]. 4765 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4764(a,1),3907(a,1,2)),flip(a)]. 4767 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(285,a,2841,a(flip),b,4765,a),flip(a)]. 4771 R(x,K(y \ 1,y),z) = x. [para(15(a,1),4767(a,1,3))]. 4775 R(x,y,K(z \ 1,z)) = x. [hyper(66,a,3878,a(flip),b,4771,a)]. 4776 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4771(a,1),112(a,1,1)),flip(a)]. 4782 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(66,a,3706,a(flip),b,4775,a)]. 4783 R(x,y,K(z \ 1,z)) != u | u = x. [para(4775(a,1),54(a,1)),flip(a)]. 4784 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4775(a,1),112(a,1,1)),flip(a)]. 4785 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4775(a,1),462(a,1,1))]. 4787 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4775(a,1),474(a,1,1)),flip(a),flip(b)]. 4788 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4775(a,1),498(a,1,1))]. 4789 R(x,y,K(z,z \ 1)) = x. [para(1904(a,1),4775(a,1,3))]. 4790 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4775(a,1),2428(a,1,1))]. 4791 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3531,a,4789,a)]. 4795 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(66,a,3696,a(flip),b,4789,a),flip(a)]. 4796 R(x,y,K(z,z \ 1)) != u | x = u. [para(4789(a,1),54(a,2))]. 4797 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4789(a,1),112(a,1,1)),flip(a)]. 4799 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4789(a,1),2421(a,1,1))]. 4802 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(87(a,1),4791(a,1,3)),flip(a)]. 4803 R(x,y,1 / (1 / z)) = R(x,y,z). [para(90(a,1),4791(a,2,3))]. 4806 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2255(a,1),4795(a,1,2))]. 4807 T(x,K(y,y \ 1) * z) = T(x,z). [para(2398(a,2),4795(a,1,2))]. 4808 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2617(a,1),4795(a,1,2))]. 4809 T(x,K(y \ 1,y) * z) = T(x,z). [para(2839(a,1),4795(a,1,2)),flip(a)]. 4810 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2849(a,1),4795(a,1,2)),flip(a)]. 4811 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2887(a,1),4795(a,1,2))]. 4813 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2950(a,1),4795(a,1,2))]. 4814 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2977(a,1),4795(a,1,2)),flip(a)]. 4815 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3312(a,1),4795(a,1,2))]. 4816 T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). [para(3704(a,1),4795(a,1,2))]. 4818 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4802(a,1),112(a,1,1))]. 4820 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2909(a,1),4807(a,1,2)),flip(a)]. 4821 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2974(a,1),4807(a,1,2)),flip(a)]. 4822 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4807(a,1),4105(a,1,2))]. 4825 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4808(a,1),4584(a,1,2))]. 4826 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4810(a,1),4504(a,1,2,1))]. 4827 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(285,a,4317,a(flip),b,4813,a),flip(a)]. 4828 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(66,a,4320,a(flip),b,4813,a),flip(a)]. 4829 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3224(a,1),4813(a,2,2))]. 4830 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(66,a,640,a(flip),b,4820,a),flip(a)]. 4831 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2933(a,2),4820(a,1,2,1))]. 4832 x / T(1 / y,y * x) = (1 / y) \ x. [para(4821(a,1),4219(a,1,2))]. 4833 K((x \ 1) * y,x \ y) = 1. [hyper(58,a,4830,a)]. 4834 T(1 / x,x * y) = ((1 / x) \ y) \ y. [hyper(180,a,4832,a),flip(a)]. 4835 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4834(a,1),686(a,1,1))]. 4836 R(((1 / x) \ y) \ y,x,y) != z \ y | x * y = z. [para(4835(a,2),51(a,1))]. 4837 R((x * ((1 / y) * (y / x))) \ x,(1 / y) * (y / x),x) = (((1 / y) * (y / x)) * x) \ x. [para(2782(a,1),4835(a,1,1,1))]. 4839 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(66,a,3657,a(flip),b,4776,a)]. 4840 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3737,a,4782,a),flip(a)]. 4842 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2409(a,2),4782(a,1,2))]. 4843 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2863,a,4784,a)]. 4844 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2416,a,4784,a)]. 4846 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(4784(a,1),2411(a,2)),flip(b)]. 4847 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4784(a,1),3657(a,1,1))]. 4848 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4784(a,1),3699(a,1,1))]. 4849 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4784(a,1),4782(a,1,2))]. 4850 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1103(a,1),4785(a,1,2)),flip(a)]. 4851 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2863,a,4850,a)]. 4852 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2416,a,4850,a)]. 4853 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3729(a,1),4850(a,1,2))]. 4854 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4851(a,1),4807(a,1,2))]. 4855 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [hyper(124,a,4854,a(flip),b,27,a(flip))]. 4856 T(x,x \ (y \ 1)) * (x \ (1 / y)) = x * ((1 / y) / x). [para(4854(a,1),3968(a,1,1))]. 4858 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(285,a,2409,a,b,4790,a),flip(a)]. 4859 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(66,a,3698,a,b,4790,a)]. 4861 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(445,a,4797,a)]. 4864 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,3127,a,b,4861,a)]. 4867 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(285,a,2398,a,b,4799,a),flip(a)]. 4869 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2862,a,4839,a)]. 4870 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(380,a,4839,a),flip(a)]. 4874 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4839(a,1),4790(a,1,2))]. 4875 K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z. [para(4870(a,1),3646(a,1,1)),flip(a)]. 4876 L(x,y,z \ K(u \ 1,u)) = L(x,y,z \ 1). [para(4870(a,1),3911(a,1,3))]. 4877 K(x \ 1,x) * (y * (z \ 1)) = y * (z \ K(x \ 1,x)). [para(4870(a,1),4839(a,2,2))]. 4878 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2646(a,1),4843(a,1,2,2))]. 4879 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2685(a,1),4843(a,1,2,2))]. 4880 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2854(a,1),4843(a,1,2,2))]. 4881 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2941(a,1),4843(a,1,2,2))]. 4882 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4844(a,1),456(a,1,1))]. 4883 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(66,a,3698,a,b,4858,a)]. 4884 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(66,a,3716,a(flip),b,4858,a),flip(a)]. 4885 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4858(a,2),2412(a,1))]. 4886 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2654(a,1),4858(a,1,2)),flip(a)]. 4887 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(2861(a,1),4859(a,1,1)),flip(a)]. 4888 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2975(a,1),4859(a,1,1)),flip(a)]. 4889 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3639(a,1),4859(a,1,1)),flip(a)]. 4890 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2398(a,1),4867(a,1,2))]. 4891 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(66,a,3634,a,b,4880,a)]. 4893 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2830(a,1),4883(a,1,1)),flip(a)]. 4894 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2888(a,1),4883(a,1,1)),flip(a)]. 4895 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3754(a,1),4883(a,1,1)),flip(a)]. 4896 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(23(a,2),4890(a,2,2))]. 4897 L(x,K(y,y \ 1),z) = x. [hyper(445,a,4891,a)]. 4899 a(x,K(y,y \ 1),z) = 1. [hyper(56,a,4897,a)]. 4900 L(x,y * (1 / y),z) = x. [para(1903(a,1),4897(a,1,2))]. 4902 L(x,y * (1 / y),z) != u | u = x. [para(4900(a,1),53(a,1)),flip(a)]. 4903 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(66,a,3739,a,b,4822,a)]. 4904 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(66,a,4517,a,b,4826,a)]. 4905 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(124,a,4826,a(flip),b,4517,a),flip(a)]. 4906 (x \ T(x * (y / x),z)) * x = T(y,z). [hyper(136,a,4904,a(flip))]. 4907 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4904(a,1,2,1,2)),flip(a)]. 4908 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(87(a,1),4904(a,1,2,1,2))]. 4911 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4338(a,1),4904(a,1,2,1))]. 4912 x * (T(y * x,z) / x) = T(x * y,z). [para(16(a,1),4905(a,1,1,2)),flip(a)]. 4913 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(87(a,1),4905(a,1,1,2)),flip(a)]. 4914 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(118(a,1),4905(a,2,2,1))]. 4918 T(x * (y / x),K(z,y)) = x * (y / x). [para(3185(a,1),4905(a,2,2,1))]. 4919 T(x * (y / x),K(y,z)) = x * (y / x). [para(3348(a,1),4905(a,2,2,1))]. 4920 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4123(a,1),4905(a,2,2,1))]. 4921 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4905(a,2),4021(a,1,1,2))]. 4922 (x \ T(x * y,z)) * x = T(y * x,z). [para(16(a,1),4906(a,1,1,2,1,2))]. 4923 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(900,a,4907,a)]. 4926 T((x \ y) * x,z) / x = x \ T(y,z). [para(15(a,1),4907(a,2,2,1))]. 4927 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4907(a,1),118(a,1,1))]. 4929 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(4599(a,1),4918(a,1,2))]. 4930 T(K(x,y),z * (x / z)) = K(x,y). [hyper(57,a,4919,a)]. 4932 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(15(a,1),4922(a,1,1,2,1)),flip(a)]. 4935 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4926(a,1),236(a,1,1)),flip(b)]. 4938 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(285,a,3898,a,b,4932,a)]. 4940 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [hyper(124,a,4932,a(flip),b,27,a(flip))]. 4941 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4932(a,2),47(a,1))]. 4942 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(118(a,1),4932(a,2,1,2))]. 4943 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4932(a,2),98(a,1,1))]. 4946 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [hyper(124,a,4914,a(flip),b,27,a(flip)),flip(a)]. 4947 x * (y * ((x \ z) / y)) != u | (y * ((z / x) / y)) * x = u. [para(4914(a,1),263(a,1,2))]. 4949 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(66,a,3902,a(flip),b,4940,a),flip(a)]. 4950 T(1 / x,(y \ x) * y) = x \ 1. [hyper(224,a,3902,a(flip),b,4940,a(flip))]. 4952 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(118(a,1),4940(a,1,2,1,2)),flip(a)]. 4953 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(117(a,1),4940(a,1,2,1,2))]. 4954 T(1 / (x * y),y * x) = (x * y) \ 1. [para(14(a,1),4950(a,1,2,1))]. 4955 (1 / (x * y)) * (y * x) = (y * x) * ((x * y) \ 1). [hyper(124,a,4954,a(flip),b,27,a(flip)),flip(a)]. 4957 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(254,a,4942,a)]. 4958 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (1 / x),y)) * x. [para(4942(a,1),921(a,1,2))]. 4959 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3213(a,1),4935(a,1,1,2))]. 4961 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [hyper(124,a,1034,a(flip),b,4908,a),flip(a)]. 4962 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4566(a,1),4911(a,1,1))]. 4963 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4913(a,1),304(a,1,2)),flip(b)]. 4964 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(285,a,4905,a,b,4920,a),flip(a)]. 4965 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(124,a,414,a(flip),b,4923,a(flip)),flip(a)]. 4966 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(123,a,4923,a(flip),b,1351,a),flip(a)]. 4967 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(14(a,1),4946(a,2,2,2,1))]. 4968 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(203(a,2),4946(a,2,2,2,1))]. 4969 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(66,a,4700,a(flip),b,4949,a),flip(a)]. 4970 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(285,a,4581,a(flip),b,4969,a),flip(a)]. 4971 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4970(a,1),3904(a,2,2))]. 4972 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1693,a,4952,a),flip(a)]. 4973 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(66,a,464,a,b,4952,a)]. 4974 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(116(a,2),4952(a,2,2)),flip(a)]. 4975 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(205(a,2),4952(a,1,1,1,2))]. 4976 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(14(a,1),4957(a,1,1,2,1,2))]. 4977 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(66,a,4304,a,b,4964,a)]. 4978 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4965(a,2,2,2))]. 4980 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(66,a,4194,a(flip),b,4976,a),flip(a)]. 4981 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3022(a,1),4829(a,1,2))]. 4983 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) = K(y \ 1,y). [hyper(195,a,4875,a)]. 4984 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) != z | K(y \ 1,y) = z. [para(4875(a,1),195(a,1)),flip(b)]. 4985 ((K(x \ 1,x) / y) \ 1) \ 1 = y \ K(x \ 1,x). [hyper(318,a,4983,a),flip(a)]. 4986 (K(x \ 1,x) / y) \ 1 = K(x,x \ 1) * y. [hyper(42,a,3733,a,b,4985,a),flip(a)]. 4987 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ K(z \ 1,z)). [para(4985(a,1),3668(a,1,3)),flip(a)]. 4988 (K(x \ 1,x) / (y * x)) * (y * ((x \ 1) \ 1)) = 1. [hyper(124,a,2830,a(flip),b,4986,a)]. 4989 L(x,(y * ((z \ 1) \ 1)) / x,K(z \ 1,z) / (y * z)) = ((K(z \ 1,z) / (y * z)) * ((y * ((z \ 1) \ 1)) / x)) \ 1. [para(4988(a,1),107(a,2,2))]. 4990 (K(x \ 1,x) / y) * (z \ 1) = (1 / y) * (z \ K(x \ 1,x)). [hyper(66,a,3713,a(flip),b,4877,a)]. 4991 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4881(a,1),4807(a,1,2)),flip(a)]. 4992 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(87(a,1),4991(a,1,2,2,1)),flip(a)]. 4993 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3646(a,1),4991(a,1,2)),flip(a)]. 4994 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4887(a,1),3933(a,1,1)),flip(a)]. 4995 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2863,a,4888,a)]. 4996 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4889(a,1),4844(a,2,2))]. 4997 T(x,y * (((((1 / z) \ 1) * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(4889(a,2),4992(a,1,2,2,1,1))]. 4998 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(4893(a,1),4809(a,1,2))]. 4999 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(90(a,1),4998(a,1,2,1,2,1)),flip(a)]. 5000 T(x,((y \ 1) * y) \ z) = T(x,z). [para(161(a,1),4998(a,1,2)),flip(a)]. 5001 T((x \ y) * x,y \ 1) != z * ((x \ y) * x) | K(y,y \ 1) = z. [para(4938(a,1),47(a,1))]. 5002 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(66,a,830,a,b,4974,a)]. 5003 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ 1). [hyper(285,a,4876,a(flip),b,4987,a),flip(a)]. 5005 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4818(a,1),47(a,1))]. 5008 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4827(a,1),4615(a,1,2)),flip(a)]. 5009 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(123,a,4847,a(flip),b,112,a)]. 5010 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(66,a,3726,a(flip),b,4848,a),flip(a)]. 5011 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(124,a,4849,a,b,2857,a)]. 5012 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(66,a,2941,a(flip),b,4853,a)]. 5013 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(285,a,3139,a(flip),b,5012,a),flip(a)]. 5015 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4874(a,1),2450(a,1))]. 5016 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(66,a,4799,a(flip),b,4903,a)]. 5017 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4978(a,1,1,2,2))]. 5019 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(5017(a,2),46(a,1))]. 5020 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2850(a,1),5011(a,1,2,2)),flip(a)]. 5021 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2398(a,1),5020(a,1,2))]. 5022 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4113(a,1),5016(a,1,1)),flip(a)]. 5023 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(285,a,2398,a,b,5022,a),flip(a)]. 5026 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5023(a,2),46(a,1))]. 5028 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,4617,a(flip),b,4921,a),flip(a)]. 5029 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),4788(a,1,2))]. 5030 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),4896(a,1,2))]. 5031 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3759(a,1),4973(a,1,1))]. 5032 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),5029(a,1,2,2))]. 5033 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),5030(a,1,2,2))]. 5034 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(447,a,5032,a)]. 5035 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(285,a,2409,a,b,5034,a),flip(a)]. 5036 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2409(a,2),5035(a,1,1))]. 5037 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(447,a,5033,a)]. 5038 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(285,a,2398,a(flip),b,5037,a),flip(a)]. 5039 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1963(a,1),5037(a,1,1)),flip(a)]. 5040 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5037(a,2),2982(a,1,2))]. 5041 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(66,a,2101,a(flip),b,5039,a)]. 5042 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(117(a,1),5041(a,2,1))]. 5043 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(128,a,5042,a)]. 5044 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(66,a,1978,a,b,5043,a)]. 5045 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2167,a,5044,a)]. 5046 L(x,y,z) / x = x \ L(x,y,z). [hyper(135,a,5045,a)]. 5047 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(128,a,5045,a)]. 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5047(a,1),419(a,1,2,1)),flip(a)]. 5053 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1889(a,1),5038(a,1,1)),flip(a)]. 5054 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5038(a,2,2))]. 5055 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5053(a,1),3681(a,1,1))]. 5056 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(122,a,5052,a(flip),b,996,a)]. 5057 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(243(a,2),4966(a,2,1,2,1,2))]. 5058 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2977(a,1),5040(a,1,2,1))]. 5059 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(66,a,947,a(flip),b,5058,a),flip(a)]. 5060 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(136,a,5059,a)]. 5061 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(17(a,1),5059(a,1,1,1)),flip(a)]. 5062 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(15(a,1),5060(a,1,1,2,1)),flip(a)]. 5063 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(138,a,5061,a),flip(a)]. 5064 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5062(a,1),30(a,2,1))]. 5065 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(452(a,1),5062(a,2,1,2))]. 5066 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(453(a,1),5062(a,2,1,2))]. 5067 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1880(a,1),5063(a,2,2,1))]. 5068 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(285,a,4929,a,b,5067,a)]. 5069 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(15(a,1),5065(a,2,1,2))]. 5070 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(66,a,4971,a(flip),b,5066,a),flip(a)]. 5071 x * (y \ (x / (x / y))) = (y \ x) * y. [para(160(a,1),5070(a,1,1,2)),flip(a)]. 5072 x \ (y / (y / x)) = K(x \ y,x). [hyper(37,a,271,a,b,5071,a),flip(a)]. 5073 x / (x / y) = y * K(y \ x,y). [hyper(138,a,5072,a),flip(a)]. 5074 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [hyper(124,a,4558,a(flip),b,5072,a),flip(a)]. 5075 (x * y) / ((x * y) / x) = x * K(y,x). [hyper(124,a,625,a(flip),b,5072,a),flip(a)]. 5076 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(66,a,4970,a,b,5072,a)]. 5077 ((x \ y) * x) / y = K(x \ y,x). [hyper(66,a,4581,a,b,5072,a)]. 5078 x / (y * (x / y)) = K(y \ x,y). [hyper(66,a,4261,a,b,5072,a)]. 5082 (x / y) * K(y \ x,y) = y \ x. [hyper(124,a,5072,a(flip),b,3800,a)]. 5083 (1 / x) \ K(y \ x,y) = (y \ x) * y. [hyper(122,a,5072,a(flip),b,4970,a)]. 5085 T(K(x \ y,x),y) = K(x \ y,x). [para(5072(a,1),4043(a,1,1))]. 5087 (x * K(x \ y,x)) \ y = y / x. [hyper(180,a,5073,a)]. 5091 (x * y) * K((x * y) \ y,x * y) = y / R(1 / x,x,y). [para(205(a,2),5073(a,1,2)),flip(a)]. 5093 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(404(a,1),5073(a,2,2,1))]. 5096 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5073(a,1),596(a,1,1,1))]. 5097 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5073(a,1),4273(a,1,1))]. 5098 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5073(a,2),4409(a,1,1))]. 5101 K(x \ y,x) * y = (x \ y) * x. [hyper(136,a,5077,a)]. 5102 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(66,a,4700,a,b,5077,a)]. 5104 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(5077(a,1),2836(a,1,1))]. 5106 K(x \ y,x) * (x * (y / x)) = y. [hyper(136,a,5078,a)]. 5107 K(x \ 1,x) * K(y \ (1 / x),y) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),3676(a,1,2))]. 5108 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5078(a,1),4906(a,1,1,2,1,2))]. 5110 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4658(a,1),5082(a,1,2))]. 5111 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(285,a,5077,a,b,5085,a)]. 5113 (x * ((y \ z) * y)) * a(x,K(y \ z,y),z) = (x * K(y \ z,y)) * z. [para(5101(a,1),93(a,1,1,2))]. 5114 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5101(a,1),2182(a,2,2))]. 5115 K(x \ y,x) * (y / x) = x \ y. [hyper(122,a,5106,a(flip),b,4427,a(flip)),flip(a)]. 5119 K(x,y) = T(y,x) \ y. [hyper(3836,a,5075,a),flip(a)]. 5120 K(x,y) = (x * y) / (y * x). [hyper(285,a,4034,a,b,5119,a),flip(a)]. 5121 K(x,y) = ((y * x) / y) \ x. [hyper(285,a,3779,a,b,5119,a),flip(a)]. 5122 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(285,a,3252,a,b,5119,a),flip(a)]. 5123 K(x,y) = y / T(y,x). [hyper(285,a,3170,a,b,5119,a),flip(a)]. 5124 K(x,y) = y * (T(y,x) \ 1). [hyper(285,a,1000,a,b,5119,a),flip(a)]. 5125 K(x,y) = x \ T(x,y). [hyper(285,a,4101,a(flip),b,5119,a),flip(a)]. 5126 x * T(x \ 1,y) = K(x \ 1,y). [hyper(285,a,4092,a(flip),b,5119,a)]. 5128 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(124,a,5119,a,b,3252,a)]. 5129 x / (x / y) = y * K(x / y,y). [hyper(124,a,5119,a,b,4102,a(flip)),flip(a)]. 5130 T(x,y) = x * K(x,y). [hyper(124,a,5119,a,b,4101,a(flip)),flip(a)]. 5131 T(x,y) * K(y,x) = x. [hyper(124,a,5119,a,b,xx)]. 5132 K(x,y) / y = 1 / T(y,x). [hyper(123,a,5119,a,b,3169,a)]. 5133 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(122,a,5119,a,b,2437,a)]. 5134 T(x,y) \ 1 = x \ K(y,x). [hyper(122,a,5119,a,b,1000,a),flip(a)]. 5135 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(122,a,5119,a,b,4092,a(flip))]. 5136 T(x,y) = x / K(y,x). [hyper(185,a,5119,a(flip)),flip(a)]. 5137 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(32(a,2),5119(a,2,1)),flip(a)]. 5138 K(x,y) != z \ y | T(y,x) = z. [para(5119(a,2),51(a,1))]. 5142 T(x,y) = K(y,x) \ x. [para(5119(a,2),3168(a,1,1)),flip(a)]. 5143 K(x,y) * T(y,x) = y. [para(5119(a,2),3171(a,1,1))]. 5144 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5119(a,2),3393(a,1,1))]. 5145 K(x,y) * ((y * x) / y) = x. [para(5119(a,2),3775(a,1,1))]. 5146 K(x,y) * (y * x) = x * y. [para(5119(a,2),4032(a,1,1))]. 5148 K(x,y) = T(y,T(x,y)) \ y. [para(4105(a,2),5119(a,2,1))]. 5149 (x * y) / x = y * K(x,y). [para(5119(a,2),4104(a,2,2))]. 5150 T(x * K(y,x),y) = x. [para(5119(a,2),4198(a,1,1,2))]. 5152 x * (K(x,y) * z) = T(x,y) * z. [para(5119(a,2),4107(a,1,2,1))]. 5153 T(x,y) * (x \ z) = K(x,y) * z. [para(5119(a,2),4108(a,2,1))]. 5154 K(x / y,z) * x = y * T(y \ x,z). [para(5119(a,2),4262(a,1,1))]. 5156 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5119(a,2),4099(a,1,2)),flip(a)]. 5157 x * (T(x,y) \ z) = K(y,x) * z. [para(5119(a,2),4498(a,1,1)),flip(a)]. 5158 K(x,y) * (T(y,x) * z) = y * z. [para(5119(a,2),4499(a,1,1))]. 5159 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(28(a,1),5123(a,2,2)),flip(a)]. 5160 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(30(a,2),5123(a,2,2)),flip(a)]. 5161 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(32(a,2),5123(a,2,2)),flip(a)]. 5162 K(x,y) \ y != z | T(y,x) = z. [para(5123(a,2),307(a,1,1)),flip(b)]. 5164 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(285,a,3854,a,b,5125,a)]. 5166 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(285,a,3773,a,b,5125,a)]. 5167 K(x,y) = y \ ((x * y) / x). [hyper(285,a,3768,a,b,5125,a),flip(a)]. 5168 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(285,a,3269,a,b,5125,a),flip(a)]. 5169 K(x,y) = T(x,y) / x. [hyper(285,a,3266,a,b,5125,a),flip(a)]. 5170 K(x,y) = T(x,y) * (x \ 1). [hyper(285,a,886,a,b,5125,a),flip(a)]. 5171 x * T(x \ 1,y) = K(1 / x,y). [hyper(285,a,891,a(flip),b,5125,a)]. 5174 T(x,y) \ K(x,y) = x \ 1. [hyper(122,a,5125,a,b,886,a)]. 5177 (1 / x) * K(x \ 1,y) = T(1 / x,y). [hyper(124,a,3339,a(flip),b,5125,a(flip))]. 5178 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(30(a,2),5125(a,2,2)),flip(a)]. 5179 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(32(a,2),5125(a,2,2)),flip(a)]. 5180 x * K(x,y) != z | T(x,y) = z. [para(5125(a,2),240(a,1,2)),flip(b)]. 5185 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5125(a,2),1141(a,1,1))]. 5186 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1. [para(5125(a,2),1422(a,1,2))]. 5187 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5125(a,2),1804(a,1,2))]. 5188 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(2771(a,1),5125(a,2,2)),flip(a)]. 5189 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2788(a,1),5125(a,2,2))]. 5190 T(x,y) = K(x,y) * x. [para(5125(a,2),3267(a,1,1)),flip(a)]. 5191 (x * K(y,x)) * y = y * x. [para(5125(a,2),3765(a,1,1,2))]. 5192 (x * y) / x = K(x,y) * y. [para(5125(a,2),3772(a,1,1)),flip(a)]. 5193 (x \ y) * K(x,x \ y) = y / x. [para(5125(a,2),3767(a,1,2))]. 5196 x * (T(x,y) \ z) = K(x,y) \ z. [para(5125(a,2),3958(a,1,1)),flip(a)]. 5197 K(x,x \ y) * y = x * (y / x). [para(5125(a,2),4013(a,1,1))]. 5200 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4273(a,1),5125(a,2,2)),flip(a)]. 5201 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4303(a,2),5125(a,2,2)),flip(a)]. 5202 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(123,a,5130,a,b,93,a)]. 5203 (x * y) * K(x * y,T(y,x)) = T(x * y,y). [hyper(66,a,4180,a(flip),b,5130,a),flip(a)]. 5204 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,2773,a(flip),b,5130,a),flip(a)]. 5207 T(x,y) != x * z | K(x,y) = z. [para(5130(a,2),46(a,1))]. 5208 x \ T(x,y) != z | K(x,y) = z. [para(5130(a,2),304(a,1,2)),flip(b)]. 5209 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5130(a,2),113(a,2,1))]. 5212 (x * y) \ (x * T(y,z)) != u | L(K(y,z),y,x) = u. [para(5130(a,2),447(a,1,2,2))]. 5213 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5130(a,2),475(a,2,2))]. 5215 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5130(a,2),947(a,2,2,1))]. 5216 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5130(a,2),1152(a,1,2)),flip(a)]. 5217 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(5130(a,2),1245(a,1,2)),flip(a)]. 5218 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5130(a,1),3036(a,2,2))]. 5219 K(x,y) * (x * z) = T(x,y) * z. [para(5130(a,2),4071(a,1,1)),flip(a)]. 5220 x * (y * K(x,y)) = T(x,y) * y. [para(5130(a,2),4454(a,1,1)),flip(a)]. 5221 x * K(R(x,y,z),x) = x. [para(168(a,1),5131(a,1,1))]. 5223 T(x,y) \ x != z | K(y,x) = z. [para(5131(a,1),304(a,1,2)),flip(b)]. 5226 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(598(a,1),5131(a,1,1))]. 5227 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5131(a,1),2323(a,1,1,1)),flip(a)]. 5228 T(x,y) * (K(y,x) * z) = x * z. [para(5131(a,1),4419(a,1,1)),flip(a)]. 5230 T(x,y) != x / z | K(y,x) = z. [para(5136(a,2),48(a,1))]. 5231 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5136(a,2),1414(a,1,1)),flip(a)]. 5232 T(x,y) = (K(y,x) / x) \ 1. [hyper(285,a,4672,a,b,5142,a),flip(a)]. 5233 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(285,a,4260,a,b,5142,a)]. 5234 K(x,y / x) * (x \ y) = y / x. [hyper(124,a,118,a(flip),b,5142,a(flip))]. 5235 x / T(x,y) != z | K(y,x) = z. [para(5142(a,2),297(a,1,2)),flip(b)]. 5236 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5142(a,2),2315(a,1,2,1))]. 5237 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(728,a,5150,a),flip(a)]. 5238 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(426,a,5150,a)]. 5239 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(43,a,4114,a,b,5150,a)]. 5240 T(T(x * K(y,x),z),y) = T(x,z). [para(5150(a,1),28(a,1,1)),flip(a)]. 5241 (x * y) / x != z | y * K(x,y) = z. [para(5150(a,1),298(a,1,1,2)),flip(b)]. 5242 T(x * K(y,x),z) * y = y * T(x,z). [para(5150(a,1),221(a,1,2,1)),flip(a)]. 5243 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5150(a,1),252(a,1,1,2,1)),flip(a)]. 5244 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5150(a,1),222(a,1,2,1)),flip(a)]. 5245 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5150(a,1),223(a,1,2,1)),flip(a)]. 5246 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5150(a,1),662(a,1,1)),flip(a)]. 5248 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5150(a,1),415(a,1,2,1,1)),flip(a)]. 5249 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(5150(a,1),591(a,1,2,1,1)),flip(a)]. 5250 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5150(a,1),1509(a,1,1)),flip(a)]. 5251 T(K(x,y) * y,x) = y. [para(3186(a,2),5150(a,1,1))]. 5252 T(x \ K(y,x \ 1),y) = x \ 1. [para(3224(a,1),5150(a,1,1))]. 5253 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5150(a,1),4547(a,1,3)),flip(a)]. 5254 K(x,y) = (1 / x) * T(x,y). [hyper(285,a,903,a,b,5169,a),flip(a)]. 5255 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(123,a,5169,a,b,898,a),flip(a)]. 5256 T(x,y) = (1 / x) \ K(x,y). [hyper(122,a,5169,a,b,903,a),flip(a)]. 5258 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(32(a,2),5169(a,2,1)),flip(a)]. 5259 K(x,y) * x != z | T(x,y) = z. [para(5169(a,2),236(a,1,1)),flip(b)]. 5265 K((x \ y) * x,y \ 1) = K(y,y \ 1). [hyper(5001,a,5190,a),flip(a)]. 5266 K(x,x \ y) * x = T(x,y / x). [hyper(4223,a,5190,a),flip(a)]. 5268 K(x / y,y) * (x / y) = y \ x. [hyper(630,a,5190,a),flip(a)]. 5269 T(x,y) / (y \ x) = y * K(x,y). [hyper(123,a,5190,a,b,4425,a)]. 5271 K(x,y) * (y \ x) = y \ T(x,y). [hyper(122,a,5190,a,b,4428,a),flip(a)]. 5272 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(66,a,30,a,b,5190,a),flip(a)]. 5273 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(66,a,28,a,b,5190,a),flip(a)]. 5274 x * (K(y,x) * y) = y * x. [hyper(124,a,5190,a(flip),b,27,a(flip))]. 5279 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5190(a,2),216(a,1,1))]. 5280 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5190(a,2),499(a,1,1))]. 5281 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5190(a,2),447(a,1,2,2))]. 5282 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5190(a,2),475(a,2,2))]. 5283 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5190(a,2),563(a,1,2))]. 5284 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5190(a,2),644(a,1,1))]. 5285 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5190(a,2),646(a,1,1))]. 5286 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5190(a,2),1505(a,2,1,1))]. 5287 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5190(a,2),1628(a,1,1))]. 5289 K(R(x,y,z),x) = 1. [hyper(126,a,5221,a),flip(a)]. 5291 T(x * y,K(y,x)) = x * y. [hyper(382,a,5120,a(flip))]. 5292 x / ((y \ x) * y) = K(y,y \ x). [para(15(a,1),5120(a,2,1)),flip(a)]. 5293 K(x,y) * (y * x) = (x * y) * 1. [para(5120(a,2),157(a,1,1))]. 5294 K(x,x \ y) * ((x \ y) * x) = y. [para(5120(a,2),92(a,1,1))]. 5296 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5120(a,2),837(a,1,1,1))]. 5297 K(x,y) != z | T(y,x) \ y = z. [para(5120(a,2),4036(a,1))]. 5298 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5124(a,2),104(a,1,2,2)),flip(a)]. 5300 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5132(a,2),2381(a,1,2)),flip(a)]. 5301 K(x,y) \ (1 / T(y,x)) = 1 / y. [para(5132(a,1),4693(a,1,2))]. 5302 T(x,y) = 1 / (x \ K(y,x)). [hyper(185,a,5134,a),flip(a)]. 5303 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(117(a,1),5134(a,1,1))]. 5304 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5134(a,1),297(a,1,2)),flip(b)]. 5306 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5134(a,1),1830(a,1,2,1))]. 5307 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5134(a,2),3495(a,2,1))]. 5309 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(103(a,1),5145(a,1,2,1))]. 5310 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(93(a,1),5145(a,1,2,1))]. 5312 K(x,y / x) * y = x * (y / x). [para(17(a,1),5146(a,1,2))]. 5313 x * (y * z) != z * y | K(z,y) = x. [para(5146(a,1),47(a,1)),flip(a)]. 5314 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),5146(a,1,2))]. 5315 (x * (y * x)) / (x * y) = x * K(y,x). [para(5146(a,1),4411(a,1,1,2))]. 5316 K(T(x,y),y) = K(x,y). [hyper(285,a,5119,a,b,5148,a)]. 5317 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5148(a,2),4728(a,1,1))]. 5318 K(x,y / x) = K(x,x \ y). [hyper(4471,a,5316,a)]. 5319 K(x,T(y,x)) = K(x,y). [hyper(4460,a,5316,a),flip(a)]. 5320 K(x,y) \ 1 = K(y,x). [hyper(66,a,4447,a(flip),b,5316,a)]. 5321 K(x,y) * K(y,x) = 1. [hyper(124,a,5316,a(flip),b,4447,a(flip))]. 5322 K(x \ (y * x),x) = K(y,x). [para(27(a,1),5316(a,1,1))]. 5323 K(x / y,y) = K(y \ x,y). [para(118(a,1),5316(a,1,1)),flip(a)]. 5325 K(T(x,x * y),y) = K(L(x,y,x),y). [para(664(a,1),5316(a,1,1))]. 5326 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(603(a,1),5316(a,1,1))]. 5327 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(726(a,1),5316(a,1,1)),flip(a)]. 5328 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(718(a,1),5316(a,1,1)),flip(a)]. 5329 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(981(a,1),5316(a,1,1)),flip(a)]. 5330 K(x \ (y * L(x,z,u)),x) = K((y / x) * L(x,z,u),x). [para(1568(a,1),5316(a,1,1))]. 5331 K(x,y) \ x = x * K(y,x). [para(5316(a,1),4457(a,1,2)),flip(a)]. 5332 K(x,y) \ 1 != z | K(y,x) = z. [para(5316(a,1),4455(a,1,1))]. 5333 L(x,K(y,z),K(z,y)) = x. [para(5316(a,1),4543(a,1,3))]. 5334 K(x,y) \ z = K(y,x) * z. [para(5316(a,1),4544(a,1,1)),flip(a)]. 5335 K(x * K(y,x),y) = K(x,y). [para(5150(a,1),5316(a,1,1)),flip(a)]. 5336 K(x,x \ (y * x)) = K(x,y). [para(27(a,1),5319(a,1,2))]. 5337 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(28(a,1),5319(a,1,2))]. 5338 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(30(a,2),5319(a,1,2))]. 5339 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(117(a,1),5319(a,1,2))]. 5340 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(231(a,1),5319(a,1,2)),flip(a)]. 5341 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(233(a,1),5319(a,1,2)),flip(a)]. 5342 K(x,y * K(x,y)) = K(x,y). [para(5150(a,1),5319(a,1,2)),flip(a)]. 5344 1 / K(x,y) = K(y,x). [hyper(185,a,5320,a)]. 5345 x / (x * K(y,x)) = K(x,y). [hyper(66,a,4545,a,b,5320,a)]. 5346 (x * K(y,x)) \ x = K(x,y). [hyper(66,a,3555,a,b,5320,a)]. 5347 K(x,y) != z \ 1 | K(y,x) = z. [para(5320(a,1),51(a,1))]. 5348 x * (K(y,z) * K(z,y)) = x. [para(5320(a,1),82(a,1,2,2))]. 5349 x * K(y,z) != 1 | K(z,y) = x. [para(5320(a,1),134(a,1,2)),flip(b)]. 5350 1 / K(x,y) != z | K(y,x) = z. [para(5320(a,1),297(a,1,2)),flip(b)]. 5355 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5320(a,1),1715(a,2,2,1))]. 5356 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5320(a,1),1744(a,1,1,2,2,1)),flip(a)]. 5357 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5320(a,1),1799(a,2,1,2,1))]. 5359 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5320(a,1),4426(a,2,2))]. 5360 K(x,y) * (K(y,x) * z) = z. [para(5320(a,1),4536(a,1,1))]. 5361 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(5320(a,1),4542(a,1,1))]. 5362 1 / (x \ K(x,y)) = x * K(y,x). [hyper(123,a,5321,a(flip),b,4425,a)]. 5364 K(x,y) * z != 1 | K(y,x) = z. [para(5321(a,1),46(a,1)),flip(a)]. 5365 x * (K(y,z) * K(z,y)) != u | x = u. [para(5321(a,2),133(a,1,2))]. 5366 L(x,K(y,z),K(z,y)) != u | x = u. [para(5333(a,1),53(a,2))]. 5367 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4281,a,5149,a),flip(a)]. 5368 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3863,a,5149,a)]. 5370 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(124,a,5149,a,b,14,a)]. 5371 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(66,a,1573,a,b,5149,a)]. 5372 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(66,a,4392,a(flip),b,5149,a),flip(a)]. 5373 x \ T(x * y,y) = y * K(x * y,y). [hyper(66,a,3994,a(flip),b,5149,a)]. 5374 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(124,a,5149,a(flip),b,90,a)]. 5375 T(x,y) \ (y * K(x,y)) = x \ y. [hyper(122,a,5149,a(flip),b,3964,a)]. 5376 (x * y) / x != y * z | K(x,y) = z. [para(5149(a,2),46(a,1))]. 5377 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5149(a,1),298(a,1))]. 5378 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(112(a,1),5149(a,1,1))]. 5379 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5149(a,1),113(a,1,1))]. 5381 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5149(a,2),463(a,1,2))]. 5382 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5149(a,1),488(a,1,1))]. 5383 T(x * K(y,x),x * y) = L(x,y,x). [para(5149(a,1),670(a,1,1))]. 5384 (x * (y * z)) / L(y,z * K(y,z),x) = x * ((y * z) / y). [para(5149(a,1),499(a,1,2,2))]. 5385 T(x * K(y * x,x),y) = R(x,y,x). [para(5149(a,1),713(a,2,1)),flip(a)]. 5386 T((x / y) * K(z,x / y),y) = (z * (y \ x)) / z. [para(5149(a,1),638(a,1,1))]. 5387 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5149(a,1),779(a,1,1))]. 5388 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5149(a,1),783(a,1,1))]. 5389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5149(a,2),95(a,1,2))]. 5390 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(931(a,1),5149(a,1,1))]. 5391 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(5149(a,1),1035(a,1,1))]. 5392 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5149(a,1),780(a,1,1))]. 5393 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5149(a,1),1331(a,2,1,2))]. 5394 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(5149(a,1),1523(a,1,1))]. 5395 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1551(a,1),5149(a,1,1))]. 5396 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5149(a,1),1574(a,2,1)),flip(a)]. 5397 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1614(a,1),5149(a,1,1))]. 5398 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1661(a,1),5149(a,1,1))]. 5399 L(x,y,x * K(y,x)) = L(x,y,x). [para(5149(a,1),4227(a,1,3))]. 5400 T(x * K(y,x),y * x) = L(x,y,x). [para(5149(a,1),4230(a,1,1))]. 5401 ((x \ 1) * y) * K(((x \ 1) * y) \ y,(x \ 1) * y) = (x * (y / x)) / (((x \ 1) * y) \ y). [para(4393(a,1),5149(a,1,1)),flip(a)]. 5402 ((x * y) / x) * z = y * (K(x,y) * z). [para(5149(a,2),4409(a,1,1))]. 5404 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5149(a,1),4527(a,1,1))]. 5405 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(5149(a,1),4961(a,2,2)),flip(a)]. 5406 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5149(a,1),4980(a,1,1,2))]. 5407 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(122,a,5167,a,b,1304,a)]. 5408 (x \ y) \ (y / x) = K(x,x \ y). [para(15(a,1),5167(a,2,2,1)),flip(a)]. 5409 x * K(y,x) != z | (y * x) / y = z. [para(5167(a,2),240(a,1,2)),flip(b)]. 5410 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5167(a,2),303(a,1,2,2))]. 5411 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),1490(a,1,2)),flip(a)]. 5412 K(x,y) = x * (((y * x) / y) \ 1). [hyper(285,a,4263,a,b,5170,a),flip(a)]. 5413 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(122,a,5170,a,b,4263,a),flip(a)]. 5414 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(122,a,5170,a,b,116,a),flip(a)]. 5415 K(x \ 1,y) * K(x \ 1,x) = T(x \ 1,y) * x. [para(5170(a,2),2691(a,1,1))]. 5416 K(x,x \ 1) * K(x,y) = T(x,y) * (1 / x). [para(5170(a,2),2860(a,1,2))]. 5417 K(x \ 1,x) * ((T(x,y) * (1 / x)) * z) = K(x,y) * z. [para(5170(a,2),3709(a,2,1))]. 5418 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5320(a,1),5170(a,2,2)),flip(a)]. 5420 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5191,a),flip(a)]. 5421 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [hyper(38,a,2905,a(flip),b,5191,a),flip(a)]. 5422 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(5191(a,1),19(a,2,1,2)),flip(a)]. 5423 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3224(a,1),5191(a,1,1))]. 5424 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(123,a,875,a,b,5192,a(flip))]. 5425 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(123,a,3994,a(flip),b,5192,a(flip))]. 5426 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(122,a,756,a(flip),b,5192,a(flip))]. 5427 (x * K(y,z)) \ (x * ((y * z) / y)) = L(z,K(y,z),x). [para(5192(a,2),23(a,2,2,2)),flip(a)]. 5431 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5274(a,1),4588(a,1,1))]. 5432 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(636,a,5291,a)]. 5434 x \ (y * (x / y)) = K(y,y \ x). [hyper(66,a,99,a,b,5318,a)]. 5435 x * K(y,y \ x) = y * (x / y). [hyper(124,a,5318,a(flip),b,99,a)]. 5438 (x * (y / x)) \ y = K(x \ y,x). [hyper(66,a,100,a,b,5323,a)]. 5439 (x * (y / x)) * K(x \ y,x) = y. [hyper(124,a,5323,a(flip),b,100,a)]. 5443 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5331(a,1),105(a,1,1))]. 5444 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5331(a,1),4426(a,2,2))]. 5445 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(2234,a,5334,a)]. 5446 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(659,a,5334,a)]. 5447 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(285,a,3199,a,b,5334,a),flip(a)]. 5448 x / (K(y,z) * x) = K(z,y). [hyper(185,a,5334,a)]. 5449 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(122,a,5334,a,b,116,a)]. 5450 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(66,a,3652,a(flip),b,5334,a),flip(a)]. 5452 K(x,y) * z != u | K(y,x) * u = z. [para(5334(a,1),138(a,1))]. 5453 K(x,y) * (K(y,x) * z) != u | u = z. [para(5334(a,1),240(a,1,2))]. 5454 x / (K(y,z) * x) != u | K(z,y) = u. [para(5334(a,1),297(a,1,2)),flip(b)]. 5455 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5334(a,1),129(a,1,2))]. 5458 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5334(a,1),546(a,1,2))]. 5459 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5334(a,1),335(a,1,1,3))]. 5460 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(123,a,5348,a(flip),b,112,a(flip))]. 5461 L(x,K(y,z),K(z,y)) = K(u,w) * (K(w,u) * x) # label(flip_matches_hint). [hyper(285,a,5333,a,b,5360,a)]. 5462 (K(x,y) / y) / (K(z,u) * (1 / T(y,x))) = K(u,z). [hyper(123,a,5132,a,b,5360,a)]. 5463 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [hyper(124,a,5360,a(flip),b,176,a)]. 5464 K(x,y) \ z != u | K(y,x) * z = u. [para(5360(a,1),304(a,1,2)),flip(b)]. 5465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5360(a,1),442(a,1,1)),flip(a)]. 5467 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3193(a,2),5448(a,1,2))]. 5468 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5448(a,1),3718(a,1,2)),flip(a)]. 5473 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(30(a,2),5208(a,1,2))]. 5474 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(32(a,2),5208(a,1,2))]. 5476 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(662(a,2),5208(a,1,2))]. 5477 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3268(a,1),5208(a,1))]. 5478 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5334(a,1),5208(a,1))]. 5479 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(28(a,1),5235(a,1,2))]. 5490 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5122(a,2),105(a,1,1)),flip(a)]. 5491 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(839,a,5126,a)]. 5492 T(1 / x,y) * x = K(x \ 1,y). [hyper(423,a,5126,a)]. 5493 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(66,a,2299,a(flip),b,5126,a)]. 5494 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(66,a,2290,a(flip),b,5126,a)]. 5495 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(66,a,1262,a(flip),b,5126,a)]. 5497 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(124,a,5126,a(flip),b,1262,a(flip)),flip(a)]. 5498 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(122,a,5126,a(flip),b,830,a(flip))]. 5500 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5126(a,1),850(a,2,2))]. 5501 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5126(a,1),1126(a,1,1))]. 5502 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5126(a,1),1289(a,1,1))]. 5503 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5126(a,1),1357(a,2,1))]. 5504 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5126(a,1),1364(a,2,1))]. 5505 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5126(a,1),1344(a,1,2)),flip(a)]. 5506 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),1355(a,2,2))]. 5507 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5126(a,1),2121(a,2,1,2))]. 5512 (x * T(x \ (K((x / y) \ 1,z) * y),u)) / y = (x / y) * T(T((x / y) \ 1,z),u). [para(5135(a,1),1352(a,2,2,1))]. 5514 x \ (T(x,y) * z) = K(x,y) * z. [hyper(128,a,5152,a)]. 5515 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(122,a,5170,a,b,5152,a),flip(a)]. 5516 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(122,a,15,a(flip),b,5152,a),flip(a)]. 5517 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(37,a,4263,a,b,5152,a)]. 5518 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(37,a,1004,a,b,5152,a),flip(a)]. 5519 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(37,a,4325,a(flip),b,5152,a),flip(a)]. 5520 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(37,a,4323,a(flip),b,5152,a),flip(a)]. 5521 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5152(a,1),19(a,2,2,1)),flip(a)]. 5522 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2229(a,1),5152(a,1,2))]. 5523 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(863,a,5153,a)]. 5524 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(285,a,3355,a,b,5153,a),flip(a)]. 5525 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(135,a,5153,a)]. 5526 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(128,a,5153,a)]. 5527 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(122,a,5360,a(flip),b,5153,a),flip(a)]. 5529 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(66,a,5152,a,b,5153,a)]. 5530 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(66,a,5052,a(flip),b,5153,a)]. 5532 (x * y) / (T(x,z) * y) = K(z,x). [hyper(123,a,4510,a(flip),b,5153,a(flip))]. 5533 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(123,a,994,a(flip),b,5153,a(flip))]. 5534 K(x,y) \ (y * z) = T(y,x) * z. [hyper(122,a,4510,a(flip),b,5153,a(flip))]. 5535 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(122,a,5153,a(flip),b,5152,a)]. 5536 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(23(a,2),5153(a,1,2)),flip(a)]. 5537 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(5153(a,1),294(a,1,1)),flip(b)]. 5540 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(5153(a,1),215(a,1,2,2))]. 5541 K(x \ y,z) * K(x \ y,y \ x) = T(x \ y,z) * (1 / (x \ y)). [para(2503(a,1),5153(a,1,2)),flip(a)]. 5542 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5125(a,2),5153(a,1,2)),flip(a)]. 5543 x * (T(x,y) \ K(x,z)) = K(x,z) * K(y,x). [hyper(285,a,2229,a,b,5157,a),flip(a)]. 5544 T(x,y) \ (x * z) = K(y,x) * z. [hyper(66,a,999,a,b,5157,a)]. 5545 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(37,a,4428,a,b,5157,a)]. 5546 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(123,a,4517,a,b,5157,a(flip))]. 5547 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(123,a,4826,a(flip),b,5157,a(flip)),flip(a)]. 5550 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4143(a,1),5157(a,1,2,1))]. 5551 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5157(a,1),4427(a,1,2)),flip(a)]. 5552 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5125(a,2),5157(a,1,2)),flip(a)]. 5557 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(180,a,5187,a),flip(a)]. 5558 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5187(a,1),307(a,1,1)),flip(b)]. 5559 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(37,a,3496,a,b,5193,a),flip(a)]. 5560 (1 / (x \ y)) * (y / x) = K(x,x \ y). [hyper(124,a,5193,a(flip),b,3222,a)]. 5561 R((x \ y) / z,z,K(x,x \ y)) = (y / x) / (z * K(x,x \ y)). [para(5193(a,1),113(a,2,1))]. 5562 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5193(a,1),3221(a,1,2))]. 5563 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5193(a,1),4409(a,1,1)),flip(a)]. 5564 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5193(a,1),4414(a,1,1)),flip(a)]. 5566 T(x \ y,R(y / x,z,u)) = x \ y. [para(5193(a,1),4625(a,1,2,1))]. 5567 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(124,a,4517,a,b,5196,a(flip))]. 5569 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5197(a,1),447(a,1,1))]. 5570 (x * K(y,y \ z)) * z != u * (y * (z / y)) | R(x,K(y,y \ z),z) = u. [para(5197(a,1),475(a,2,2))]. 5571 K(x,(x \ 1) * y) * y = x * (y / x). [para(4664(a,2),5197(a,1,1))]. 5574 x \ (T(x,y) * y) = y * K(x,y). [hyper(122,a,5219,a(flip),b,4468,a(flip))]. 5576 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5219(a,1),303(a,1))]. 5577 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(222(a,1),5219(a,1,2))]. 5578 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(223(a,1),5219(a,1,2))]. 5579 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(5219(a,1),479(a,1,1,1))]. 5583 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5220(a,1),25(a,2,2)),flip(a)]. 5584 K(x,y) * (x / y) = x / T(y,x). [hyper(4339,a,5228,a),flip(a)]. 5585 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(551,a,5228,a),flip(a)]. 5586 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(123,a,5130,a,b,5228,a)]. 5587 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(122,a,5130,a,b,5228,a)]. 5590 T(x,y) * z != x * u | K(y,x) * u = z. [para(5228(a,1),46(a,1)),flip(a)]. 5591 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5228(a,1),304(a,1,2)),flip(b)]. 5592 T(x,y) \ (x * z) != z * u | T(K(y,x),z) = u. [para(5228(a,1),375(a,1,2))]. 5593 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(5233(a,1),3054(a,1,1))]. 5594 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(43,a,5251,a,b,5240,a)]. 5595 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(43,a,5150,a,b,5240,a)]. 5596 T(x * K(x * y,x),y * x) = x. [hyper(43,a,4182,a(flip),b,5240,a),flip(a)]. 5597 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5252(a,1),221(a,1,2,1)),flip(a)]. 5599 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(27(a,2),5269(a,1,2))]. 5600 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5269(a,1),417(a,1,1,1)),flip(a)]. 5601 T(x,y) \ (y \ T(x,y)) = x \ (y \ x). [hyper(122,a,5271,a(flip),b,5153,a)]. 5602 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5069(a,2),5292(a,1,2))]. 5603 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4401(a,2),5293(a,2,2))]. 5604 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5150(a,1),5301(a,1,2,2))]. 5606 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [hyper(124,a,5359,a(flip),b,5174,a)]. 5608 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [hyper(285,a,27,a,b,5375,a),flip(a)]. 5609 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(28(a,1),5375(a,1,1))]. 5610 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5408(a,1),240(a,1,2)),flip(b)]. 5611 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5412(a,2),1147(a,2,2))]. 5612 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3849,a,5434,a)]. 5613 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [hyper(124,a,4665,a(flip),b,5434,a),flip(a)]. 5615 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4905(a,2),5434(a,1,2))]. 5616 T(K(x,x \ y),y) = K(x,x \ y). [hyper(224,a,5197,a,b,5435,a)]. 5617 T(x,K(y,y \ x)) = x. [hyper(224,a,5435,a,b,5197,a)]. 5618 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(66,a,5228,a,b,5435,a)]. 5619 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(66,a,3009,a,b,5435,a)]. 5620 x * (y / x) != y * z | K(x,x \ y) = z. [para(5435(a,1),46(a,1))]. 5621 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5435(a,1),105(a,2,1))]. 5622 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5435(a,1),462(a,1,2))]. 5623 (x \ 1) * (y * K(x,x \ y)) = L(y,x \ 1,x) / x. [para(5435(a,2),2187(a,1,2))]. 5624 K(x,K(y,y \ x)) = 1. [hyper(58,a,5617,a)]. 5625 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4905(a,2),5438(a,1,1))]. 5626 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1588(a,1,2,2,1))]. 5627 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1658(a,1,2,2,1))]. 5628 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(66,a,281,a(flip),b,5492,a),flip(a)]. 5629 K(x \ 1,x) * K(x \ 1,y) = T(x \ 1,y) * x. [para(5492(a,1),4743(a,1,2))]. 5630 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5514(a,1),1016(a,1))]. 5631 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1386,a,5515,a)]. 5632 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(5515(a,1),103(a,1,1))]. 5633 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(5515(a,1),5448(a,1,2))]. 5634 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [hyper(124,a,5516,a(flip),b,4544,a(flip))]. 5635 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5516(a,1),46(a,1))]. 5637 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(41,a,4088,a,b,5526,a),flip(a)]. 5638 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(41,a,4297,a(flip),b,5526,a),flip(a)]. 5643 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(32(a,2),5532(a,1,2,1))]. 5644 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(30(a,2),5533(a,1,2,1))]. 5646 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(123,a,4121,a(flip),b,5544,a(flip))]. 5648 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5545(a,1),445(a,1,1)),flip(a)]. 5649 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5134(a,1),5557(a,2,1)),flip(a)]. 5650 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(5574(a,1),5073(a,2,2,1))]. 5651 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5584(a,1),103(a,1,1))]. 5652 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5584(a,1),176(a,1,2,1))]. 5653 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5585(a,1),240(a,1,2)),flip(b)]. 5655 T(K(x,(x \ 1) * y),y) = K(x,x \ y). [para(4664(a,2),5616(a,1,1))]. 5660 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4231(a,2),5376(a,1,1))]. 5661 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(5385(a,1),4328(a,1,2)),flip(a)]. 5662 K(x,y) * z != u | K(y,x) \ z = u. [para(15(a,1),5453(a,1,2)),flip(b)]. 5664 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3751(a,2),5453(a,1,2)),flip(b)]. 5666 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5158(a,1),5453(a,1,2)),flip(b)]. 5667 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5515(a,1),5454(a,1,2))]. 5668 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(27(a,2),5464(a,1))]. 5670 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3196,a,5520,a)]. 5671 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5520(a,1),4395(a,1,1)),flip(a)]. 5675 T(x,y) \ (x * z) != u | K(x,y) \ z = u. [para(5544(a,2),5662(a,1))]. 5676 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(122,a,5670,a(flip),b,5152,a),flip(a)]. 5677 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,x \ 1). [hyper(122,a,5076,a(flip),b,3667,a)]. 5678 x \ K(y \ (x \ 1),y) = (y \ (x \ 1)) * y. [hyper(122,a,5076,a(flip),b,175,a(flip))]. 5679 K(x \ y,x) \ (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5076(a,1),19(a,2,1)),flip(a)]. 5680 ((1 / x) * y) \ K(y \ x,y) = L(T(y \ x,y),y,1 / x). [para(5076(a,1),216(a,1,2))]. 5682 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(14(a,1),5102(a,1,1,1)),flip(a)]. 5683 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5150(a,1),5133(a,1,1,1)),flip(a)]. 5685 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(123,a,829,a(flip),b,5154,a)]. 5687 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5154(a,1),225(a,2)),flip(a)]. 5688 x / (y * T(y \ x,z)) = K(z,x / y). [para(5154(a,1),5448(a,1,2))]. 5690 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3975(a,1),5159(a,1,2,1))]. 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(66,a,2807,a(flip),b,5166,a)]. 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(66,a,2215,a(flip),b,5166,a)]. 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(66,a,2052,a(flip),b,5166,a)]. 5695 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [hyper(124,a,5166,a(flip),b,1760,a(flip))]. 5696 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(123,a,5166,a(flip),b,798,a)]. 5697 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5166(a,1),25(a,2,2)),flip(a)]. 5698 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5166(a,1),1177(a,2,2))]. 5699 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5166(a,1),2045(a,2,1))]. 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5168(a,2),1357(a,2,1))]. 5702 T(T(1 / x,y) * x,z) / x = (1 / x) * T(K(x \ 1,y),z). [para(5177(a,1),896(a,1,1,1,1))]. 5703 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [hyper(124,a,5186,a(flip),b,27,a(flip))]. 5704 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5208,a,5201,a)]. 5706 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(66,a,4413,a,b,5704,a)]. 5707 K(x,(y \ z) / z) = K(x,y \ 1). [para(15(a,1),5704(a,1,2,2))]. 5708 K(x,(y / z) \ 1) = K(x,z / y). [para(17(a,1),5704(a,1,2,2)),flip(a)]. 5709 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5704(a,1),5234(a,1,1))]. 5712 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(463(a,1),5707(a,1,2,1)),flip(a)]. 5714 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(285,a,4413,a,b,5708,a)]. 5715 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(285,a,13,a,b,5708,a),flip(a)]. 5716 ((x / y) \ 1) \ K(z,y / x) = T((x / y) \ 1,z) \ 1. [hyper(122,a,5708,a(flip),b,5124,a(flip))]. 5718 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5239(a,1),588(a,1,1,1))]. 5719 T(x * K(x * y,x),y) = R(x,y,x). [hyper(38,a,4134,a,b,5242,a),flip(a)]. 5720 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5242,a),flip(a)]. 5721 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(123,a,5243,a,b,5192,a(flip))]. 5722 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(122,a,5243,a,b,5149,a(flip))]. 5723 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5243(a,2),3955(a,2,2))]. 5724 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5243(a,2),5121(a,2,1)),flip(a)]. 5725 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5243(a,2),5241(a,1))]. 5726 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5273(a,1),5259(a,1))]. 5727 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4284(a,2),5726(a,1))]. 5728 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(66,a,5255,a(flip),b,5300,a)]. 5729 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2963(a,1),5338(a,1,2))]. 5730 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5370(a,1),135(a,1))]. 5731 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(5373(a,1),4273(a,2,2))]. 5732 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5243(a,2),5402(a,1,1)),flip(a)]. 5734 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(123,a,1246,a(flip),b,5423,a),flip(a)]. 5735 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5425(a,1),705(a,1,1))]. 5736 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(285,a,3341,a(flip),b,5467,a),flip(a)]. 5737 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(15(a,1),5517(a,1,1,1)),flip(a)]. 5738 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5149(a,1),5517(a,1,1))]. 5740 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(285,a,4124,a,b,5518,a)]. 5742 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5125(a,2),5529(a,1,2,2))]. 5743 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(285,a,3353,a(flip),b,5542,a)]. 5744 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5542(a,2),3362(a,1))]. 5745 T(x,(((y \ z) \ 1) * (z / y)) * u) = T(x,K(y,y \ z) * u). [para(5560(a,1),4816(a,1,2,1)),flip(a)]. 5746 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5150(a,1),5586(a,1,1))]. 5747 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(28(a,1),5587(a,1,2))]. 5748 (x * T(y,x)) * T((x * T(y,x)) \ T(y,x),z) = x * (T(y,x) * T(y \ (x \ y),z)). [para(5601(a,1),830(a,2,2,2,1))]. 5749 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(15(a,1),5638(a,1,2,1,1))]. 5753 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(830(a,1),5688(a,1,2))]. 5754 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1414(a,1),5688(a,1,2))]. 5755 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5696(a,2),713(a,2,1)),flip(a)]. 5756 K(x,(y / z) \ 1) != u * 1 | K(x,z / y) = u. [para(5715(a,2),47(a,1))]. 5757 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5715(a,2),132(a,1)),flip(b)]. 5759 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [hyper(124,a,5743,a,b,176,a)]. 5760 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5743(a,1),46(a,1))]. 5763 T(x,y) * K(x * y,x) = R(x,y,x). [para(4345(a,1),5237(a,1,2))]. 5764 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(122,a,5763,a(flip),b,5152,a),flip(a)]. 5765 K(x * y,T(x,y)) = K(x * y,x). [hyper(37,a,5763,a,b,5367,a),flip(a)]. 5766 K(1 / x,y) != z | K(x \ 1,y) = z. [para(5171(a,1),5477(a,1))]. 5767 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(87(a,1),5766(a,1,1))]. 5770 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5527(a,1),5576(a,1,2))]. 5771 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3856(a,2),5620(a,1))]. 5775 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(116(a,1),5666(a,1,2))]. 5777 K(x,y \ 1) != z | K(x,1 / y) = z. [para(86(a,1),5757(a,1,2,1))]. 5778 K(T(x / y,z),T(x / y,z) \ 1) != u | K(x / y,y / x) = u. [para(3158(a,2),5757(a,1))]. 5783 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(135,a,5156,a)]. 5784 K(x * y,T(y,x)) = K(x * y,y). [hyper(37,a,5130,a(flip),b,5203,a),flip(a)]. 5785 K(x * y,y) = K(y * x,y). [hyper(4346,a,5784,a),flip(a)]. 5786 K(x * y,y) != z | K(y * x,y) = z. [para(5784(a,1),4346(a,1))]. 5787 K(x * (y / x),x) = K(y,x). [para(17(a,1),5785(a,1,1)),flip(a)]. 5788 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5785(a,2),5764(a,1,2))]. 5789 K(T(x,y) * y,x) = K(x * y,x). [para(3955(a,2),5787(a,1,1))]. 5790 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4905(a,2),5787(a,1,1))]. 5791 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3955(a,2),5790(a,1,1,1))]. 5792 K(x * y,y) * K(y,x) = y \ R(y,x,y). [hyper(2236,a,5788,a)]. 5793 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(66,a,3036,a(flip),b,5218,a),flip(a)]. 5794 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [hyper(124,a,5238,a,b,5534,a)]. 5795 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5244,a)]. 5796 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(35(a,1),5244(a,2,2))]. 5798 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5245,a)]. 5799 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [hyper(2416,a,5307,a)]. 5800 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5307(a,1),3418(a,1,1))]. 5801 K(x,y) * (K(y \ 1,y) * z) = ((T(y,x) \ 1) * y) * z. [para(5307(a,1),4776(a,1,1)),flip(a)]. 5802 (x * K(y,y \ 1)) / K(z,y) = x / ((T(y,z) \ 1) * y). [para(5307(a,1),4840(a,2,2))]. 5803 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(123,a,5387,a,b,5192,a(flip))]. 5804 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5387(a,2),5121(a,2,1)),flip(a)]. 5805 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(122,a,5388,a,b,5149,a(flip))]. 5806 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5388(a,2),4199(a,1,1))]. 5807 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5388(a,2),5121(a,2,1)),flip(a)]. 5808 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(5388(a,2),5413(a,1,1)),flip(a)]. 5809 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(5388(a,2),5402(a,1,1)),flip(a)]. 5812 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(285,a,2451,a(flip),b,5407,a)]. 5813 K(x \ y,y \ x) * K(x \ y,z) = T(x \ y,z) * (1 / (x \ y)). [para(2490(a,1),5416(a,1,1))]. 5814 (x * K(y,y \ 1)) * K(y,z) = x * (T(y,z) * (1 / y)). [para(5416(a,1),4891(a,2,2))]. 5815 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(981(a,1),5495(a,1,2,2))]. 5816 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1329(a,1),5495(a,1,2))]. 5817 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1363,a,5497,a),flip(a)]. 5818 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,5497,a),flip(a)]. 5819 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(66,a,838,a(flip),b,5497,a)]. 5820 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(124,a,5497,a(flip),b,838,a(flip))]. 5821 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(123,a,5497,a(flip),b,417,a)]. 5822 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(285,a,5497,a(flip),b,5502,a),flip(a)]. 5824 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(285,a,884,a(flip),b,5502,a),flip(a)]. 5826 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [hyper(123,a,838,a(flip),b,5502,a),flip(a)]. 5827 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(123,a,830,a(flip),b,5502,a)]. 5828 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(123,a,829,a(flip),b,5502,a)]. 5829 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [hyper(122,a,5502,a,b,xx)]. 5830 K((x / y) \ 1,z) = K(y / x,z). [hyper(38,a,5154,a,b,5502,a),flip(a)]. 5832 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(14(a,1),5502(a,2,2,1))]. 5833 K((x / y) \ 1,x) = K(x \ y,x). [hyper(285,a,5323,a(flip),b,5830,a),flip(a)]. 5834 K(x / (y * x),z) = K(y \ 1,z). [para(16(a,1),5830(a,1,1,1)),flip(a)]. 5835 K((x / (y * x)) \ 1,z) = K(y,z). [para(16(a,1),5830(a,2,1))]. 5836 K((x \ y) / y,z) = K(x \ 1,z). [para(87(a,1),5830(a,1,1,1)),flip(a)]. 5837 K(L(x \ y,x,z) / (z * y),u) = K((z * x) \ 1,u). [para(437(a,1),5830(a,1,1,1)),flip(a)]. 5838 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(285,a,5085,a,b,5833,a)]. 5839 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(285,a,4655,a(flip),b,5833,a),flip(a)]. 5840 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(16(a,1),5833(a,1,1,1)),flip(a)]. 5841 K(x \ (y \ x),x) = K(y \ 1,x). [para(87(a,1),5833(a,1,1,1)),flip(a)]. 5845 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5841(a,1),5087(a,1,1,2))]. 5846 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(66,a,4409,a,b,5522,a)]. 5847 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5523(a,2),225(a,2)),flip(a)]. 5848 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(37,a,5529,a,b,5543,a)]. 5850 K(x / (y \ 1),y) = K(y * x,y). [hyper(66,a,5646,a(flip),b,5546,a),flip(a)]. 5852 K(x / (y \ 1),y) = K(x * y,y). [hyper(285,a,5785,a,b,5850,a),flip(a)]. 5853 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3214,a,5552,a)]. 5854 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(122,a,15,a(flip),b,5563,a),flip(a)]. 5865 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5595(a,1),304(a,1,2)),flip(b)]. 5866 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5595(a,1),215(a,1,2,2))]. 5867 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(4181(a,1),5595(a,1,1))]. 5868 T(x,y) * T(y * K(z,y),x) = x * (y * K(z,T(y,x))). [para(5595(a,1),4513(a,1,2))]. 5869 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5595(a,1),5087(a,1,1))]. 5870 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(135,a,5637,a)]. 5871 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5637(a,1),5448(a,1,2))]. 5872 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(66,a,625,a(flip),b,5682,a)]. 5874 K(x,y) = (1 / (y * x)) * (x * y). [hyper(285,a,4955,a,b,5872,a),flip(a)]. 5875 K(x,y) / (x * y) = 1 / (y * x). [hyper(123,a,5872,a,b,4955,a)]. 5876 T(x * y,(y * x) \ 1) = ((y * x) \ 1) \ K(x,y). [hyper(122,a,5872,a,b,116,a),flip(a)]. 5877 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(122,a,5872,a,b,151,a(flip)),flip(a)]. 5880 (x * y) * ((y * x) * (1 / (x * y))) = (((x * y) \ 1) \ 1) * K(y,x). [para(5872(a,2),2912(a,1,2)),flip(a)]. 5882 (1 / ((x \ y) * x)) * y = K(x,x \ y). [hyper(285,a,152,a(flip),b,5874,a)]. 5883 ((1 / (x * y)) * y) \ K(y,x) = L(x,y,(x * y) \ 1). [hyper(122,a,5874,a,b,3667,a)]. 5885 (x * y) * ((y * x) * (1 / (x * y))) = T(y * x,(x * y) \ 1). [para(5875(a,1),3832(a,1,2,2))]. 5886 K(x \ (1 / y),T(x,x \ (y \ 1))) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4856(a,1),5875(a,2,2))]. 5887 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5373(a,2),5721(a,1,1,1))]. 5888 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(5367(a,1),5721(a,1,1,1))]. 5889 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(5595(a,1),5721(a,1,1,1))]. 5890 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5722(a,1),240(a,1,2)),flip(b)]. 5892 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) = K(z,T(x \ 1,y)). [para(3224(a,1),5722(a,1,2,1))]. 5893 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5785(a,1),5722(a,1,2,1,2))]. 5894 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5595(a,1),5724(a,1,1,1))]. 5895 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(66,a,5535,a,b,5737,a)]. 5899 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(5125(a,2),5737(a,1,2))]. 5900 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5742(a,1),46(a,1))]. 5905 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5749(a,1),5453(a,1,2)),flip(b)]. 5906 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5749(a,1),5098(a,2,2))]. 5907 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(90(a,1),5783(a,1,2,1,2))]. 5908 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(5791(a,1),5142(a,2,1))]. 5909 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(41,a,1345,a(flip),b,5829,a),flip(a)]. 5910 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(16(a,1),5829(a,1,2,1,1,1))]. 5913 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [hyper(124,a,5840,a(flip),b,97,a),flip(a)]. 5914 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5421(a,1),5845(a,1,1)),flip(a)]. 5916 ((x * L(y,x,z)) \ (z * (x * y))) \ R(z,x,L(y,x,z)) = K(x * L(y,x,z),R(z,x,L(y,x,z))). [para(854(a,1),5137(a,1,1))]. 5917 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4181(a,1),5160(a,1,2,1)),flip(a)]. 5918 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(28(a,1),5161(a,1,2,1))]. 5919 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(5258(a,1),494(a,1,1)),flip(a)]. 5920 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(38,a,5039,a,b,5272,a),flip(a)]. 5922 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5920(a,2),4797(a,1,2))]. 5923 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4741(a,1),5326(a,2,1,1))]. 5925 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(285,a,5149,a(flip),b,5379,a),flip(a)]. 5926 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5925(a,1),1575(a,1,2,3))]. 5927 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(5073(a,2),5925(a,1,1))]. 5928 R(x * K(y,x),y,x) = x * K(x * y,x). [para(5785(a,1),5925(a,2,2))]. 5929 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(5928(a,1),32(a,2,1))]. 5930 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5396(a,2),4229(a,1,1))]. 5931 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(84(a,1),5455(a,1,2))]. 5941 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(291,a,5460,a),flip(a)]. 5944 T(x,y) \ (x * z) != u * w | u \ (K(x,y) \ z) = w. [para(5544(a,2),5931(a,1))]. 5945 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5941(a,1),32(a,2,1))]. 5946 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5125(a,2),5164(a,1,1))]. 5948 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(124,a,5946,a(flip),b,23,a(flip))]. 5949 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(90(a,1),5946(a,1,1,2)),flip(a)]. 5950 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4596(a,1),5946(a,1,1)),flip(a)]. 5951 R(x,L(K(x,y),z,u),w) = x. [para(5949(a,1),4448(a,1,2))]. 5952 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(5951(a,1),112(a,1,1)),flip(a)]. 5953 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(357(a,1),5950(a,1,2,1)),flip(a)]. 5954 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5950(a,1),5334(a,1,1)),flip(a)]. 5955 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5950(a,1),5946(a,1,1)),flip(a)]. 5956 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(124,a,5953,a(flip),b,104,a),flip(a)]. 5957 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [hyper(285,a,5149,a(flip),b,5386,a),flip(a)]. 5960 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5393(a,1),630(a,1,1))]. 5961 K(x \ 1,y) * (K(x \ 1,x) * z) = (T(x \ 1,y) * x) * z. [para(5415(a,1),4776(a,1,1)),flip(a)]. 5962 K(x \ 1,x) * (y * K(x \ 1,z)) = y * (T(x \ 1,z) * x). [para(5415(a,1),4844(a,2,2))]. 5963 (K(x,y) / y) / (K(z \ 1,z) / T(y,x)) = K(z,z \ 1). [para(3655(a,1),5462(a,1,2))]. 5964 (K(x,y) / y) / (K(z \ u,u \ z) / T(y,x)) = K(u \ z,z \ u). [para(3661(a,1),5462(a,1,2))]. 5965 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(66,a,1416,a(flip),b,5491,a)]. 5966 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(90(a,1),5491(a,1,2,2,1,2))]. 5967 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(116(a,1),5491(a,1,2))]. 5969 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5126(a,1),5493(a,1,1))]. 5970 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,4413,a(flip),b,5969,a),flip(a)]. 5972 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(113(a,1),5969(a,2,1,1))]. 5973 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3341(a,1),5969(a,1,1)),flip(a)]. 5974 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(704(a,1),5970(a,1,1,1))]. 5975 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5973(a,1),5320(a,1,1)),flip(a)]. 5976 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5973(a,1),5334(a,1,1)),flip(a)]. 5977 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(5126(a,1),5494(a,1,1))]. 5978 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(5171(a,1),5494(a,1,1))]. 5979 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [hyper(124,a,5977,a(flip),b,23,a(flip))]. 5980 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1593(a,1),5977(a,1,1)),flip(a)]. 5981 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3341(a,1),5977(a,1,1)),flip(a)]. 5982 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(5977(a,1),4621(a,1,1))]. 5983 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5320(a,1),5977(a,1,1,1)),flip(a)]. 5985 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [hyper(124,a,5981,a(flip),b,5722,a),flip(a)]. 5986 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5981(a,1),5320(a,1,1)),flip(a)]. 5987 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(5981(a,1),5559(a,1,2,2))]. 5988 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5981(a,1),5728(a,2,2,1))]. 5989 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(123,a,5987,a(flip),b,5560,a)]. 5990 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(124,a,5498,a,b,838,a(flip))]. 5991 (x \ y) * T((x \ y) \ (x \ 1),z) = x \ K(y \ 1,z). [para(15(a,1),5498(a,1,2,1,1)),flip(a)]. 5994 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(838(a,1),5504(a,1,2))]. 5996 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5501(a,2),5504(a,1,2))]. 5997 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5342(a,1),5604(a,1,1)),flip(a)]. 5998 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4182(a,1),5608(a,1,1))]. 5999 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [hyper(138,a,5609,a)]. 6000 x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x \ 1,x). [hyper(124,a,5613,a(flip),b,404,a)]. 6001 K(x \ y,y \ x) * K((y \ x) \ 1,z) = T((y \ x) \ 1,z) * (y \ x). [para(2618(a,1),5629(a,1,1))]. 6002 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5479,a,5690,a),flip(a)]. 6004 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(87(a,1),6002(a,1,1)),flip(a)]. 6005 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4111(a,2),6004(a,1,1))]. 6006 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(136,a,5693,a)]. 6007 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5166(a,1),5694(a,1,1)),flip(a)]. 6009 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3366(a,1),6007(a,1,2,1)),flip(a)]. 6010 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(4596(a,1),6007(a,2,1))]. 6012 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6007(a,1),5180(a,1,2))]. 6013 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6010(a,1),3370(a,1,2,1))]. 6014 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6010(a,1),5946(a,1,1)),flip(a)]. 6017 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(5134(a,1),5703(a,1,2))]. 6018 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5031(a,1),5754(a,1,2))]. 6019 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(66,a,278,a(flip),b,5819,a)]. 6020 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5819(a,1),1640(a,2,2,1))]. 6021 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5819(a,2),5721(a,1,1,1))]. 6022 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5320(a,1),5820(a,1,2,2,1,1,2))]. 6023 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4191(a,1),5906(a,1,1,2))]. 6024 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5833(a,1),5907(a,1,1,2))]. 6025 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5073(a,2),6024(a,1,1))]. 6026 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(180,a,6025,a)]. 6027 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(285,a,5142,a,b,5908,a),flip(a)]. 6028 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(6027(a,1),5258(a,1,1,1)),flip(a)]. 6029 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(5910(a,1),240(a,1,2)),flip(b)]. 6030 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3319(a,1),5910(a,1,2,1)),flip(a)]. 6031 (((x \ 1) * y) \ y) * (x \ L(y,x \ 1,x)) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(404(a,2),5913(a,1,2))]. 6032 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(66,a,5950,a(flip),b,5986,a),flip(a)]. 6033 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(185,a,6032,a)]. 6034 L(K(x,y),z,u) != w \ 1 | L(K(y,x),z,u) = w. [para(6032(a,1),51(a,1))]. 6035 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6032(a,1),297(a,1,2)),flip(b)]. 6036 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6033(a,1),307(a,1,1)),flip(b)]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(90(a,1),5996(a,1,2,1,1))]. 6041 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3341(a,1),5996(a,1,2,1))]. 6042 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5149(a,2),5998(a,1,2))]. 6043 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(285,a,5695,a,b,6006,a),flip(a)]. 6044 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(87(a,1),6006(a,1,1,2,1))]. 6045 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(66,a,5848,a(flip),b,6017,a),flip(a)]. 6046 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5708(a,1),6043(a,1,1)),flip(a)]. 6047 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(225,a,6046,a)]. 6049 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(15(a,1),5427(a,1,2,2,1))]. 6050 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5335(a,2),5443(a,1,2))]. 6051 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(205(a,2),5706(a,1,2))]. 6052 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(205(a,1),5720(a,2,3))]. 6053 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(37,a,5034,a(flip),b,5795,a),flip(a)]. 6054 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6053(a,2),4784(a,1,2))]. 6057 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(5798(a,1),5345(a,1,2))]. 6059 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) != u | K(z,T(x \ 1,y)) = u. [para(3224(a,1),5865(a,1,2,1))]. 6060 (1 / L(x,y,(x * y) \ 1)) * ((K(y,x) \ ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),1479(a,1,1,2))]. 6063 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [hyper(124,a,5927,a,b,5373,a)]. 6064 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(5789(a,1),6057(a,1,2,1,2)),flip(a)]. 6065 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(37,a,1965,a,b,5204,a)]. 6066 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),2398(a,2,2))]. 6068 K(x * y,y \ (x \ 1)) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(6065(a,1),2895(a,1,1))]. 6069 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6065(a,1),3686(a,1,1))]. 6070 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6065(a,1),3638(a,1,1,2))]. 6071 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(5929(a,1),5249(a,1,1))]. 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(224,a,6071,a,b,xx)]. 6074 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5785(a,2),6072(a,1,1,1,2))]. 6075 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(6074(a,1),5248(a,1,1))]. 6076 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(592,a,6075,a)]. 6077 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(5253(a,1),4480(a,1,1,1,1))]. 6078 (T(x,y) * (1 / x)) * (z * K(x \ 1,x)) = K(x,y) * z. [hyper(4846,a,5417,a),flip(a)]. 6079 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [hyper(66,a,5503,a(flip),b,5505,a),flip(a)]. 6080 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(224,a,5503,a(flip),b,5505,a(flip)),flip(a)]. 6081 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(90(a,1),6080(a,2,1,1))]. 6082 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3341(a,1),6080(a,2,1))]. 6083 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6081(a,1),5977(a,1,1)),flip(a)]. 6084 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6082(a,1),5977(a,1,1)),flip(a)]. 6086 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5634(a,1),5551(a,1,2)),flip(a)]. 6087 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(285,a,4241,a(flip),b,5577,a),flip(a)]. 6088 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(285,a,4242,a(flip),b,5578,a),flip(a)]. 6090 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5166(a,1),5692(a,1,1))]. 6091 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4477,a,6090,a),flip(a)]. 6092 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(66,a,5969,a(flip),b,6090,a)]. 6093 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,6090,a),flip(a)]. 6094 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4596(a,1),6090(a,1,1)),flip(a)]. 6095 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5708(a,1),6090(a,1,1)),flip(a)]. 6096 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(36(a,1),6091(a,1,2,1))]. 6097 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(66,a,5975,a(flip),b,6094,a)]. 6098 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(66,a,5712,a(flip),b,6095,a),flip(a)]. 6099 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(488(a,1),6095(a,1,2,1)),flip(a)]. 6100 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(461(a,1),6095(a,1,2)),flip(a)]. 6101 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(17(a,1),6098(a,2,2,1))]. 6102 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(17(a,1),6098(a,2,2,2))]. 6103 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(87(a,1),6098(a,1,1,2)),flip(a)]. 6104 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6103(a,1,2))]. 6105 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(14(a,1),6104(a,1,2,2)),flip(a)]. 6106 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(176(a,1),6104(a,1,2,2)),flip(a)]. 6107 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(66,a,5969,a(flip),b,6105,a)]. 6108 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6105(a,1),32(a,2,1))]. 6109 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(495(a,1),6096(a,1,2,1)),flip(a)]. 6110 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(87(a,1),6099(a,1,1,2)),flip(a)]. 6111 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(66,a,2043,a(flip),b,5698,a)]. 6112 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5698(a,1),2073(a,1,1)),flip(a)]. 6113 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(66,a,1179,a(flip),b,5699,a)]. 6115 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(123,a,5732,a(flip),b,4427,a)]. 6116 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(830(a,1),5753(a,1,2,2))]. 6117 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1414(a,1),5753(a,1,2,2))]. 6118 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5379(a,2),5753(a,2,2))]. 6119 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(32(a,2),5818(a,2,2))]. 6120 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5865,a,5893,a),flip(a)]. 6121 K(x * y,T(y,z)) != u | K(y * x,T(y,z)) = u. [para(5893(a,1),5865(a,1))]. 6122 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6120(a,1),4346(a,1))]. 6123 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(66,a,5629,a(flip),b,5899,a),flip(a)]. 6124 x * T(x \ (T(x \ 1,y) * x),z) = (1 / x) \ T(T(x \ 1,y),z). [para(6123(a,1),892(a,1,2,1,2))]. 6125 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(135,a,5909,a),flip(a)]. 6126 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5981(a,1),5954(a,1,1)),flip(a)]. 6127 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(305,a,6126,a),flip(a)]. 6128 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(285,a,2238,a(flip),b,6126,a),flip(a)]. 6129 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6127(a,1),304(a,1,2)),flip(b)]. 6130 ((x / y) * K(z,x / y)) * y = y * ((y \ x) * K(z,y \ x)). [hyper(124,a,5957,a(flip),b,27,a(flip)),flip(a)]. 6131 K(T(x / y,z),T(x / y,z) \ 1) = (K(u,w) / w) / (K(x \ y,y \ x) / T(w,u)). [para(3464(a,1),5963(a,1,2,1)),flip(a)]. 6132 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5497(a,1),5965(a,1,1))]. 6133 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6094(a,1),5976(a,1,1)),flip(a)]. 6134 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(305,a,6133,a),flip(a)]. 6135 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(185,a,6133,a)]. 6136 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(123,a,176,a(flip),b,6133,a(flip))]. 6137 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6133(a,2),132(a,1)),flip(b)]. 6138 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6134(a,1),304(a,1,2)),flip(b)]. 6139 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(196,a,6136,a)]. 6141 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5101(a,1),6136(a,1,2,1))]. 6142 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(5197(a,1),6136(a,1,2,1))]. 6143 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(66,a,153,a(flip),b,6141,a),flip(a)]. 6144 K(((x \ y) * ((x \ 1) \ 1)) \ 1,z) = (x \ K(y \ 1,z)) * ((x \ 1) \ 1). [para(5991(a,1),5965(a,1,1)),flip(a)]. 6145 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(285,a,5910,a(flip),b,6030,a),flip(a)]. 6146 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = K(x,y) * ((x \ 1) * z). [para(3744(a,1),6078(a,1,2))]. 6147 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6084(a,1),5334(a,1,1)),flip(a)]. 6148 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6044(a,2),6113(a,1,2))]. 6149 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(14(a,1),6148(a,1,2,2)),flip(a)]. 6152 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(4596(a,1),6149(a,1,1)),flip(a)]. 6153 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(6032(a,2),6128(a,2,2)),flip(a)]. 6154 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(123,a,5284,a(flip),b,116,a)]. 6155 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5298(a,1),1833(a,1,2))]. 6156 ((1 / (x * y)) * (x * y)) / L(x,y * K(x,y),1 / (x * y)) = a((x * y) \ 1,(x * y) / x,x) / x. [hyper(285,a,3939,a,b,5384,a),flip(a)]. 6157 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5219(a,1),5431(a,1,2,2))]. 6158 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(767,a,6157,a),flip(a)]. 6159 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5536(a,1),456(a,1,1))]. 6160 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6138,a,5652,a)]. 6163 ((1 / x) * y) \ K(y \ x,y) = T(((1 / x) * y) \ 1,y). [hyper(285,a,697,a,b,5680,a),flip(a)]. 6164 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4639(a,1),5755(a,1,1,1))]. 6165 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(32(a,2),5888(a,1,1))]. 6166 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [hyper(285,a,5160,a(flip),b,5917,a),flip(a)]. 6168 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5972(a,1),112(a,1,1))]. 6170 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5833(a,1),5972(a,1,1))]. 6171 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(14(a,1),6170(a,1,1,1))]. 6172 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4787,a,5979,a),flip(a)]. 6173 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(37,a,5922,a,b,5979,a)]. 6174 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5979(a,1),46(a,1)),flip(a)]. 6175 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(268(a,1),5979(a,1,2,1,1))]. 6176 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(124,a,6172,a(flip),b,1252,a)]. 6177 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6176(a,1),2647(a,1,1))]. 6178 (L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(6000(a,1),4314(a,1,1,1))]. 6179 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(830(a,1),6029(a,1))]. 6180 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6053(a,2),6054(a,2,2,2))]. 6181 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(37,a,5405,a,b,6063,a),flip(a)]. 6182 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(285,a,6065,a(flip),b,6069,a),flip(a)]. 6184 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(66,a,6135,a,b,6139,a)]. 6185 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(285,a,4791,a(flip),b,6164,a),flip(a)]. 6186 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6171(a,1),3189(a,1,2))]. 6187 x * (T(y,x) * T(y \ (x \ y),z)) != u | K(x \ 1,z) * T(y,x) = u. [para(5601(a,1),6179(a,1,2,2,1))]. 6188 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1579(a,1),5096(a,1,1,1,2,1))]. 6189 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(285,a,4938,a(flip),b,5104,a),flip(a)]. 6191 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5414(a,2),5215(a,1,2,1))]. 6192 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5256(a,2),5286(a,1,2,1))]. 6193 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5150(a,1),6192(a,1,2,1)),flip(a)]. 6194 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(66,a,5152,a,b,5306,a)]. 6195 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1628,a,5378,a),flip(a)]. 6196 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(684(a,1),5506(a,1,1))]. 6197 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),6196(a,1,1,2))]. 6199 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(224,a,6197,a,b,15,a),flip(a)]. 6200 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(123,a,150,a(flip),b,6197,a)]. 6201 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(123,a,6197,a(flip),b,112,a)]. 6204 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6200(a,1),118(a,1,1))]. 6205 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5131(a,1),6200(a,1,1)),flip(a)]. 6206 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(128,a,6205,a)]. 6207 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(66,a,3441,a,b,6206,a)]. 6208 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(16(a,1),6207(a,1,2,2))]. 6209 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(66,a,3339,a,b,6208,a)]. 6210 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(66,a,5628,a(flip),b,6208,a)]. 6211 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [hyper(124,a,6209,a(flip),b,5408,a)]. 6212 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(38,a,5492,a,b,6210,a)]. 6213 R(T(1 / x,y * x),x,y) = (x * y) \ y. [para(6212(a,2),4835(a,1,1))]. 6214 T(R(1 / x,x,y),y * x) = (x * y) \ y. [hyper(66,a,32,a(flip),b,6213,a)]. 6215 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(285,a,4571,a(flip),b,6199,a),flip(a)]. 6216 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(285,a,2979,a(flip),b,5593,a),flip(a)]. 6217 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(5335(a,1),5650(a,2,2))]. 6219 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5523(a,1),5685(a,1,1,2)),flip(a)]. 6220 (1 / x) * T(K(x \ 1,y),z) = T(K(x \ 1,y),z) / x. [para(5492(a,1),5702(a,1,1,1)),flip(a)]. 6221 T(K(x \ 1,y),z) \ (T(K(x \ 1,y),z) / x) = 1 / x. [hyper(122,a,6220,a(flip),b,3365,a)]. 6222 (T(K(x \ 1,y),z) * (((1 / x) \ 1) \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(6221(a,1),2524(a,1,1,2,1,1))]. 6223 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(28(a,1),5747(a,1,1))]. 6224 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1427(a,1),5827(a,1,1))]. 6225 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(6074(a,1),5889(a,1,1))]. 6226 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(66,a,502,a,b,5914,a)]. 6227 ((K(x \ 1,x) * y) * K(x \ 1,z)) \ ((T(x \ 1,z) * x) * y) = K(K(x \ 1,z),K(x \ 1,x) * y). [hyper(122,a,5961,a(flip),b,96,a)]. 6228 ((T(x \ 1,y) * x) * z) \ ((K(x \ 1,x) * z) * K(x \ 1,y)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(5961(a,1),21(a,2,1)),flip(a)]. 6229 (K(x \ 1,x) * y) * K(x \ 1,z) = y * (T(x \ 1,z) * x). [hyper(66,a,3646,a,b,5962,a)]. 6230 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5497(a,2),6022(a,1,2))]. 6231 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(90(a,1),6040(a,2,1,1))]. 6232 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(14(a,1),6231(a,1,2,2)),flip(a)]. 6234 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(123,a,6232,a,b,xx)]. 6235 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(122,a,6232,a,b,116,a)]. 6238 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3341(a,1),6041(a,2,1))]. 6239 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(27(a,2),6238(a,1,2,2))]. 6240 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(123,a,6066,a(flip),b,2893,a)]. 6241 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),6066(a,1,1))]. 6242 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4250(a,1),6087(a,1,2))]. 6243 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4250(a,1),6088(a,1,2))]. 6244 (x * K(y,(x \ z) \ 1)) / z = (x / z) * K(y,x / z). [hyper(123,a,5956,a(flip),b,6130,a)]. 6245 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(337,a,6132,a)]. 6246 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(4596(a,1),6152(a,1,2,1)),flip(a)]. 6247 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(5361(a,1),6246(a,2,2))]. 6249 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(384,a,6191,a)]. 6250 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5327(a,1),6195(a,1,2)),flip(a)]. 6251 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(285,a,5372,a(flip),b,6250,a),flip(a)]. 6252 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(15(a,1),6251(a,1,1,1)),flip(a)]. 6253 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2853(a,1),6215(a,1,2)),flip(a)]. 6254 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(39,a,5448,a,b,6219,a(flip))]. 6256 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(128,a,6230,a)]. 6257 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6230(a,1),46(a,1))]. 6258 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(414(a,1),6230(a,1,2)),flip(a)]. 6259 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(135,a,6254,a),flip(a)]. 6261 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1149(a,1),6254(a,1,1,2))]. 6262 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6254(a,1),5454(a,1,2))]. 6263 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5452,a,6261,a),flip(a)]. 6264 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5360(a,1),6261(a,1,2,2)),flip(a)]. 6265 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(122,a,82,a(flip),b,6263,a),flip(a)]. 6266 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(122,a,6265,a,b,1479,a)]. 6267 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4483,a,6264,a)]. 6268 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6256(a,1),4922(a,1,1))]. 6269 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(5026,a,6258,a)]. 6270 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6258(a,2),46(a,1))]. 6273 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6269(a,2),4785(a,1,2))]. 6274 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(14(a,1),6268(a,1,1,2,1)),flip(a)]. 6275 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6274(a,2),47(a,1))]. 6276 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5068(a,2),505(a,1))]. 6277 R((x \ 1) / (y \ T(x \ 1,z)),y \ T(x \ 1,z),K(x,x \ 1)) = (1 / x) / (y \ T(1 / x,z)). [para(3928(a,1),5561(a,2,2))]. 6278 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5334(a,1),5621(a,1,1))]. 6279 K(L(x,y,x),y) = K(x,y). [hyper(5660,a,5371,a)]. 6280 K(T(x,x * y),y) = K(x,y). [hyper(66,a,5325,a,b,6279,a)]. 6281 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [hyper(5464,a,5679,a)]. 6283 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(4475,a,5809,a),flip(a)]. 6284 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(116(a,1),5866(a,1,2)),flip(a)]. 6285 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(285,a,3211,a(flip),b,6284,a)]. 6286 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(285,a,345,a(flip),b,5980,a),flip(a)]. 6288 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1080(a,1),6286(a,1,2))]. 6289 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(59,a,6288,a)]. 6290 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(57,a,6289,a)]. 6291 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1242(a,2),6290(a,1,1))]. 6292 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6291(a,1),4311(a,1,2)),flip(a)]. 6293 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(285,a,2554,a(flip),b,6292,a),flip(a)]. 6294 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1242(a,1),6293(a,1,1))]. 6295 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5063(a,2),6112(a,1,2))]. 6296 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(98(a,1),6226(a,1,3,2))]. 6297 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4188(a,1),6252(a,1,1)),flip(a)]. 6298 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(285,a,3997,a(flip),b,6297,a),flip(a)]. 6299 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(38,a,5406,a,b,6298,a),flip(a)]. 6300 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(285,a,5444,a,b,6299,a),flip(a)]. 6301 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4252(a,1),6300(a,1,2))]. 6302 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(180,a,6301,a)]. 6303 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5444(a,1),6302(a,1,1))]. 6304 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5149(a,2),6303(a,1,1,2))]. 6305 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(y \ 1,x \ y,x). [hyper(285,a,3935,a(flip),b,6281,a),flip(a)]. 6306 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(265,a,6295,a)]. 6307 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3826(a,1),6306(a,1,2)),flip(a)]. 6309 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(4596(a,1),6307(a,1,1,2))]. 6311 (x * K(y,z)) * y = x * T(y,z). [para(3029(a,1),6309(a,2,2))]. 6312 R(x,K(y,z),y) = x. [hyper(5282,a,6311,a)]. 6313 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(285,a,3193,a,b,6311,a),flip(a)]. 6315 x * T(y * K(x,z),x) = y * T(x,z). [hyper(264,a,6311,a)]. 6316 (x * T(y,z)) / y = x * K(y,z). [hyper(135,a,6311,a)]. 6317 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(128,a,6311,a)]. 6319 (x / T(y,z)) * K(y,z) = x / y. [hyper(123,a,17,a(flip),b,6311,a),flip(a)]. 6320 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(38,a,1224,a,b,6311,a),flip(a)]. 6321 (x / y) * T(y,z) = x * K(y,z). [hyper(38,a,1204,a,b,6311,a)]. 6322 (x * y) * K(y,z) = x * T(y,z). [hyper(38,a,1200,a,b,6311,a),flip(a)]. 6323 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6311(a,1),19(a,2,1,2)),flip(a)]. 6327 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5128(a,1),6311(a,1,1))]. 6328 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6311(a,1),5788(a,1,2,1))]. 6329 R(x,R(K(y,z),u,w),y) = x. [para(6094(a,1),6312(a,1,2))]. 6330 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6329(a,1),112(a,1,1)),flip(a)]. 6331 (x * K(y,z)) / T(y,z) = x / y. [hyper(123,a,6316,a(flip),b,1206,a(flip))]. 6332 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6316,a(flip),b,1206,a(flip))]. 6333 x / y != z * K(y,u) | z * T(y,u) = x. [para(6316(a,1),49(a,1)),flip(a)]. 6334 L(x,K(x,y),z) = x. [hyper(5281,a,6317,a)]. 6335 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(66,a,6050,a(flip),b,6334,a)]. 6336 (x * K(y,z)) * (y * K(z,y)) = x * y. [hyper(124,a,6334,a(flip),b,6050,a(flip))]. 6337 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6334(a,1),410(a,1,2,1))]. 6338 (x * K(y,z)) * R(y,u,w) = x * (K(y,z) * R(y,u,w)). [para(6334(a,1),411(a,1,2,1))]. 6343 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4495(a,1),6319(a,1,1))]. 6344 x * T(x \ y,z) = y * K(x \ y,z). [hyper(315,a,6321,a)]. 6346 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,5028,a(flip),b,6321,a),flip(a)]. 6348 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(123,a,6321,a(flip),b,6311,a)]. 6349 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(122,a,175,a(flip),b,6321,a(flip))]. 6351 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6321(a,1),882(a,1,2,1))]. 6352 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5120(a,2),6321(a,1,1))]. 6353 R(x,y,K(y,z)) = x. [hyper(5213,a,6322,a)]. 6355 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(285,a,5023,a,b,6322,a),flip(a)]. 6357 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(224,a,6322,a,b,15,a),flip(a)]. 6358 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(128,a,6322,a)]. 6359 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(122,a,17,a(flip),b,6322,a)]. 6361 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(37,a,5948,a(flip),b,6322,a(flip)),flip(a)]. 6362 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(6322(a,1),23(a,2,2,2)),flip(a)]. 6366 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6322(a,1),513(a,1))]. 6367 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6322(a,1),469(a,1,1))]. 6369 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6353(a,1),2528(a,1,1,1))]. 6372 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6332(a,1),5870(a,1,2))]. 6373 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6332(a,1),5871(a,1,1))]. 6374 L(K(x,y),x,z) = K(x,y). [hyper(5212,a,6358,a)]. 6375 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6358(a,1),240(a,1,2)),flip(b)]. 6380 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(285,a,5320,a,b,6374,a),flip(a)]. 6382 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6374(a,1),34(a,1,1)),flip(a)]. 6383 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6374(a,1),413(a,1,2,1))]. 6384 (x \ 1) * T(K(x \ 1,y),z) = x \ T(K(x \ 1,y),z). [para(6374(a,1),504(a,1,2,1)),flip(a)]. 6385 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6374(a,1),506(a,1,2,1))]. 6388 L(K(x,y),y,z) = K(x,y). [hyper(6034,a,6380,a)]. 6389 L(K(x,y),x,z) != u | K(x,y) = u. [para(6380(a,2),5332(a,1))]. 6390 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(285,a,6388,a,b,6388,a)]. 6392 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(66,a,5953,a(flip),b,6388,a)]. 6393 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(124,a,6388,a(flip),b,106,a),flip(a)]. 6394 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(124,a,6388,a(flip),b,23,a(flip))]. 6395 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6388(a,1),35(a,1,1)),flip(a)]. 6403 L(K(x,y),y,z) != u | K(x,y) = u. [para(6390(a,1),3653(a,1)),flip(b)]. 6404 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5777,a,6392,a)]. 6406 T(K(x,y / z),y) = K(x,z \ y). [hyper(66,a,6047,a,b,6392,a)]. 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(14(a,1),6392(a,1,2,1)),flip(a)]. 6408 K(x,((y * z) \ y) \ 1) = K(x,z). [para(14(a,1),6392(a,2,2))]. 6409 K(x,y \ (y / z)) = K(x,z \ 1). [para(90(a,1),6392(a,1,2,1)),flip(a)]. 6410 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(105(a,2),6392(a,1,2,1))]. 6411 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(657(a,1),6392(a,1,2,1)),flip(a)]. 6412 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(993(a,1),6392(a,1,2,1))]. 6414 T(x \ y,K(z,y \ x)) = x \ y. [para(6392(a,1),2090(a,1,2))]. 6416 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5334(a,1),6392(a,1,2,1))]. 6417 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6392(a,1),5946(a,1,1)),flip(a)]. 6418 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6392(a,1),5695(a,1,2))]. 6419 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6392(a,1),6043(a,2,2))]. 6420 K(x,y / z) * y = y * K(x,z \ y). [para(6392(a,1),6046(a,1,2)),flip(a)]. 6421 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6392(a,1),6090(a,1,1)),flip(a)]. 6422 (x * K(y,z \ x)) / z = (x / z) * K(y,x / z). [para(6392(a,1),6244(a,1,1,2))]. 6423 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5953(a,1),6403(a,1))]. 6424 K(x,x / y) = K(x,y \ x). [hyper(66,a,3343,a(flip),b,6406,a)]. 6425 K(x,(y \ z) \ z) = T(K(x,y),z). [para(87(a,1),6406(a,1,1,2)),flip(a)]. 6427 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(6406(a,1),5319(a,1,2)),flip(a)]. 6428 K(x,(y \ x) \ x) = K(x,y). [para(87(a,1),6424(a,1,2)),flip(a)]. 6429 K(x,x / (x / y)) = K(x,y). [para(90(a,1),6424(a,2,2))]. 6433 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5877(a,2,2))]. 6434 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(285,a,6388,a,b,6408,a)]. 6437 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [hyper(124,a,6414,a(flip),b,27,a(flip))]. 6439 K(x,T(y,y \ z)) = T(K(x,y),z). [para(117(a,2),6425(a,1,2))]. 6440 T(K(x,y),z * y) = K(x,T(y,z)). [para(4140(a,2),6425(a,1,2)),flip(a)]. 6441 T(K(x,y),y * z) = K(x,T(y,z)). [para(14(a,1),6439(a,1,2,2)),flip(a)]. 6442 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(285,a,6440,a,b,6441,a)]. 6443 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [hyper(124,a,6441,a(flip),b,27,a(flip))]. 6445 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(122,a,2430,a,b,6315,a),flip(a)]. 6447 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6315(a,1),263(a,1))]. 6453 (x * K(x \ y,z)) \ y = (x \ y) * K(z,x \ y). [para(15(a,1),6335(a,1,2))]. 6454 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6335(a,1),1667(a,1,2,2,1,2)),flip(a)]. 6455 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6335(a,1),1609(a,1,1)),flip(a)]. 6456 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5730,a,6336,a)]. 6457 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(123,a,17,a(flip),b,6336,a)]. 6459 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5847,a,6344,a),flip(a)]. 6460 T(K(x / y,z),x) = K(y \ x,z). [hyper(5687,a,6344,a)]. 6461 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,6344,a),flip(a)]. 6462 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(66,a,838,a(flip),b,6344,a)]. 6466 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [hyper(122,a,838,a(flip),b,6344,a(flip))]. 6467 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [hyper(37,a,5505,a(flip),b,6344,a(flip))]. 6468 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(37,a,5497,a(flip),b,6344,a(flip))]. 6471 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(6344(a,2),2202(a,1,1))]. 6472 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6344(a,2),3211(a,1,2,1)),flip(a)]. 6473 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6344(a,2),3210(a,1,1,1)),flip(a)]. 6475 K((x \ y) \ y,y) = K(x,y). [hyper(285,a,3183,a(flip),b,6459,a),flip(a)]. 6476 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [hyper(124,a,6475,a(flip),b,21,a(flip))]. 6477 K(x / y,x) = K(y \ x,x). [para(90(a,1),6475(a,1,1,1)),flip(a)]. 6478 K((x / y) \ 1,y) = K(x \ y,y). [hyper(66,a,5830,a,b,6477,a)]. 6479 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(66,a,5200,a,b,6477,a)]. 6480 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(66,a,5836,a(flip),b,6477,a),flip(a)]. 6481 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(66,a,3246,a(flip),b,6460,a)]. 6482 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(285,a,625,a(flip),b,6468,a),flip(a)]. 6484 K((x * y) \ x,z) = K(y \ 1,z). [para(14(a,1),6468(a,1,1,1)),flip(a)]. 6485 K(x \ (x / y),z) = K(y \ 1,z). [para(90(a,1),6468(a,1,1,1)),flip(a)]. 6488 K(((x / y) * x) \ (y * (x / y)),z) = K(T(y \ x,x) \ 1,z). [para(4364(a,1),6468(a,1,1,1)),flip(a)]. 6490 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5334(a,1),6468(a,1,1,1))]. 6491 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6468(a,1),5162(a,1,1))]. 6496 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(66,a,6478,a,b,6484,a)]. 6497 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(6484(a,1),399(a,1,2))]. 6511 1 / (x * K(y,x)) = K(x,y) / x. [hyper(123,a,5321,a(flip),b,6393,a)]. 6512 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(122,a,5321,a(flip),b,6393,a)]. 6513 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(5193(a,1),6393(a,1,2))]. 6514 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(66,a,5997,a(flip),b,6511,a)]. 6515 K(x,y) / x = 1 / ((y * x) / y). [para(5149(a,2),6511(a,1,2)),flip(a)]. 6516 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(6511(a,1),5254(a,2,1)),flip(a)]. 6518 K(x,y) * (1 / x) = K(x,y) / x. [hyper(5464,a,6514,a)]. 6519 T(1 / ((x * y) / x),y) = y \ K(y,x). [para(6515(a,1),118(a,1,1))]. 6520 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(756(a,1),6515(a,2,2))]. 6521 R(x,y,K(z,y)) = x. [hyper(475,a,6394,a)]. 6523 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5193(a,1),6394(a,2,2))]. 6524 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6394(a,1),6311(a,1,1))]. 6526 K(x,L(x,y,z) / u) = K(x,u \ L(x,y,z)). [hyper(38,a,3354,a(flip),b,6420,a),flip(a)]. 6527 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6442(a,2),5418(a,1,1))]. 6528 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(66,a,5393,a(flip),b,6456,a)]. 6529 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(66,a,153,a(flip),b,6456,a)]. 6533 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5193(a,1),6457(a,1,2)),flip(a)]. 6534 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(66,a,6082,a(flip),b,6467,a),flip(a)]. 6535 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(66,a,3462,a(flip),b,6467,a),flip(a)]. 6536 ((x * y) / x) * T(T(((x * y) / x) \ 1,y),z) = T(y \ K(y,x),z) * ((x * y) / x). [para(6519(a,1),424(a,1,1,1)),flip(a)]. 6537 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5193(a,1),6528(a,1,1,2))]. 6538 K(((x \ 1) * y) \ y,(x \ 1) * y) = K(x,x \ y). [hyper(285,a,5655,a(flip),b,6534,a),flip(a)]. 6540 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(112(a,1),6535(a,1,1,1))]. 6542 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(6361(a,2),5180(a,1))]. 6545 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5146(a,1),6375(a,1,1))]. 6546 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5192(a,2),6375(a,1,1))]. 6547 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [hyper(124,a,6382,a(flip),b,106,a),flip(a)]. 6548 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4598(a,2),6423(a,1))]. 6549 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6047(a,2),6423(a,1))]. 6550 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(116(a,1),6434(a,2,2,1,1))]. 6551 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6434(a,1),3653(a,1)),flip(b)]. 6554 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(12(a,1),6551(a,1,2,1,1))]. 6555 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(1959(a,2),6554(a,1,2))]. 6556 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2383(a,1),6554(a,1,2))]. 6557 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2484(a,2),6554(a,1,2))]. 6558 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3585(a,2),6554(a,1,2))]. 6559 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3497(a,1),6313(a,1,1)),flip(a)]. 6560 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(66,a,5317,a(flip),b,6357,a),flip(a)]. 6561 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5153(a,2),6416(a,1,2,1))]. 6562 K(x,T(K(y,z) * u,w) \ 1) = T(K(x,u \ K(z,y)),w). [para(6416(a,1),6007(a,2,1))]. 6563 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(285,a,2060,a(flip),b,6418,a)]. 6564 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6418(a,1),46(a,1))]. 6565 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(285,a,5564,a(flip),b,6443,a),flip(a)]. 6566 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3185(a,1),6443(a,1,2,2)),flip(a)]. 6567 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4963,a,6462,a)]. 6568 K((x \ 1) \ y,y) = K(x * y,y). [hyper(37,a,5373,a(flip),b,6462,a(flip)),flip(a)]. 6569 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6462(a,1),1671(a,2,2,1))]. 6570 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6462(a,1),4922(a,1,1))]. 6571 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6462(a,1),4927(a,1,1))]. 6572 K((x \ 1) \ y,y) = K(y * x,y). [hyper(285,a,5785,a(flip),b,6568,a),flip(a)]. 6573 K((1 / x) * y,y) = K(x \ y,y). [para(90(a,1),6568(a,1,1,1)),flip(a)]. 6574 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(17(a,1),6466(a,1,2,2,1)),flip(a)]. 6575 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(66,a,5965,a(flip),b,6471,a)]. 6576 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6575(a,1),5990(a,1,2,2))]. 6577 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6490(a,1),6080(a,2,1))]. 6578 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(66,a,1233,a,b,6513,a)]. 6580 K(K(x,x \ y) / (z * (y / x)),u) = K((z * (x \ y)) \ 1,u). [para(6523(a,1),5834(a,1,1,2))]. 6581 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5149(a,2),6524(a,1,1,2))]. 6582 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6524(a,1),5422(a,1,2))]. 6583 R(K(x,(y / z) \ L(x,u,w)),L(x,u,w),z) = K(x,(L(x,u,w) * z) / y). [para(6526(a,1),6102(a,1,1))]. 6585 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(16(a,1),6537(a,1,1)),flip(a)]. 6586 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6576(a,1),1690(a,2,2,1))]. 6587 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(66,a,153,a(flip),b,6578,a),flip(a)]. 6588 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3368,a,b,6581,a),flip(a)]. 6590 T(x / (y / z),K(z,z \ y)) = K(z \ y,z) * (x / (z \ y)). [hyper(224,a,6587,a,b,5360,a)]. 6592 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6491,a,5142,a(flip))]. 6593 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [hyper(124,a,6592,a(flip),b,27,a(flip))]. 6594 T(x,(y * z) \ y) = T(x,z \ 1). [para(14(a,1),6592(a,1,2,1)),flip(a)]. 6596 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(23(a,2),6592(a,1,2,1)),flip(a)]. 6597 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(27(a,2),6592(a,1,2,1))]. 6599 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6592(a,1),3046(a,1,2))]. 6600 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5334(a,1),6592(a,2,2))]. 6601 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(632,a,6594,a),flip(a)]. 6603 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6597(a,2),249(a,1,2))]. 6604 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(285,a,358,a,b,6601,a)]. 6605 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(185,a,6604,a)]. 6606 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4977(a,1),6605(a,1,2))]. 6607 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(6352(a,1),46(a,1)),flip(a)]. 6608 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6383(a,1),5355(a,1,2))]. 6609 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(66,a,5110,a,b,6385,a)]. 6610 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6385(a,1),5111(a,1,1,1)),flip(a)]. 6611 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2958(a,1),6417(a,1,2,1)),flip(a)]. 6612 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [hyper(124,a,6437,a(flip),b,5544,a)]. 6613 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6461(a,1),2959(a,1,2))]. 6614 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(285,a,4020,a(flip),b,6476,a),flip(a)]. 6615 x / R(1 / (y \ 1),y \ 1,x) = ((y \ 1) * x) * K(y,y \ x). [para(6538(a,1),5091(a,1,2)),flip(a)]. 6616 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(38,a,4355,a,b,6559,a)]. 6617 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5134(a,2),6616(a,1,2))]. 6618 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6617(a,1),32(a,2,1))]. 6619 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6618(a,1),394(a,1,1))]. 6620 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(117(a,1),6619(a,1,1,1))]. 6621 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6620(a,1),4572(a,1,1,1))]. 6622 (x * ((1 / y) / x)) * y != z | K(x,(x * y) \ 1) = z. [para(6563(a,2),125(a,1))]. 6623 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5197(a,2),6563(a,1,1))]. 6624 T((x / y) * K((L(y,z,u) \ 1) \ (x / y),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(1568(a,1),6571(a,2,2))]. 6625 K(x,x * (y / x)) = K(x,y). [hyper(4270,a,6614,a)]. 6626 K(x,y * x) = K(x,x * y). [para(16(a,1),6625(a,1,2,2)),flip(a)]. 6627 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4905(a,2),6625(a,1,2))]. 6628 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4912(a,1),6625(a,1,2)),flip(a)]. 6629 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4913(a,1),6625(a,1,2))]. 6630 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5063(a,2),6625(a,1,2))]. 6631 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(93(a,1),6626(a,2,2))]. 6632 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4913(a,1),6627(a,1,2,1))]. 6633 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4105(a,2),6629(a,2,2))]. 6634 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(66,a,6417,a(flip),b,6410,a)]. 6635 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6389,a,6634,a),flip(a)]. 6636 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(15(a,1),6634(a,2,2,1))]. 6637 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(15(a,1),6634(a,2,2,2))]. 6638 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(90(a,1),6634(a,1,1,2)),flip(a)]. 6639 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6634(a,1),6389(a,1))]. 6640 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(15(a,1),6635(a,1,2,1)),flip(a)]. 6641 K(x,(1 / y) * x) = K(x,y \ x). [para(162(a,1),6635(a,1,2))]. 6642 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(105(a,2),6635(a,1,2))]. 6643 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4523(a,1),6642(a,1,2))]. 6644 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [hyper(124,a,6636,a(flip),b,23,a(flip))]. 6645 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6636(a,1),6389(a,1))]. 6646 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6638(a,1,2))]. 6647 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(285,a,6032,a,b,6646,a),flip(a)]. 6648 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(16(a,1),6646(a,1,2,2)),flip(a)]. 6649 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(66,a,6395,a,b,6648,a)]. 6650 K(L(x,y * z,u) \ 1,z) = K(x \ 1,L(z,y,u)). [hyper(66,a,5977,a(flip),b,6648,a)]. 6651 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(5347,a,6647,a)]. 6652 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6647(a,2),6036(a,1))]. 6653 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(16(a,1),6651(a,1,1,2)),flip(a)]. 6654 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(87(a,1),6651(a,1,1,2)),flip(a)]. 6655 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4120(a,1),6651(a,1,1,2))]. 6656 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6403,a,6653,a),flip(a)]. 6657 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(6653(a,1),6403(a,1))]. 6658 K(L(x,y,z),y * x) = K(x,x * y). [hyper(285,a,6626,a(flip),b,6656,a),flip(a)]. 6659 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6403,a,6654,a),flip(a)]. 6660 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4072,a,6654,a)]. 6661 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(105(a,1),6654(a,2,1))]. 6662 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(268(a,1),6654(a,2,1))]. 6663 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(453(a,1),6654(a,2,1))]. 6664 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(458(a,1),6654(a,2,1))]. 6665 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(453(a,1),6659(a,1,1)),flip(a)]. 6666 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6158(a,1),6659(a,1,1))]. 6667 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6660(a,1),5314(a,1,1))]. 6669 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6648(a,1),6649(a,1,1))]. 6670 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6652(a,1,2))]. 6671 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(66,a,6669,a(flip),b,6663,a)]. 6672 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [hyper(124,a,6663,a(flip),b,23,a(flip))]. 6673 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(19(a,2),6663(a,2,1))]. 6674 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6663(a,1),6403(a,1))]. 6675 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(285,a,626,a(flip),b,6479,a)]. 6677 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(66,a,6285,a,b,6550,a)]. 6678 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(285,a,6640,a(flip),b,6643,a),flip(a)]. 6679 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(66,a,4691,a(flip),b,6662,a),flip(a)]. 6681 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(66,a,5368,a,b,6679,a)]. 6682 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3351(a,1),6330(a,2,2))]. 6683 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(37,a,5130,a(flip),b,6355,a)]. 6684 K(K(x \ 1,x) * y,z) = K(y,z). [para(1906(a,1),6683(a,1,1,1))]. 6687 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2830(a,1),6683(a,1,1))]. 6688 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2860(a,1),6683(a,1,1))]. 6689 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2888(a,1),6683(a,1,1))]. 6690 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2897(a,1),6683(a,1,1)),flip(a)]. 6691 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2909(a,1),6683(a,1,1)),flip(a)]. 6692 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2947(a,1),6683(a,1,1))]. 6694 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2975(a,1),6683(a,1,1)),flip(a)]. 6695 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3684(a,1),6683(a,1,1))]. 6696 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3897(a,1),6683(a,1,1))]. 6697 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4851(a,1),6683(a,1,1))]. 6698 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4867(a,2),6683(a,1,1))]. 6699 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4878(a,1),6683(a,1,1))]. 6702 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3710(a,1),6684(a,1,1))]. 6703 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4883(a,2),6684(a,1,1))]. 6704 K((x \ K(y \ 1,y)) * z,u) = K((x \ 1) * z,u). [para(4875(a,1),6684(a,1,1))]. 6705 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4884(a,1),6684(a,1,1))]. 6706 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4893(a,1),6684(a,1,1))]. 6707 K((((x \ 1) \ 1) * y) \ z,u) = K((x * y) \ z,u). [para(4894(a,1),6684(a,1,1))]. 6708 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(5020(a,2),6684(a,1,1))]. 6709 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(15(a,1),6687(a,2,1))]. 6710 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(3422(a,2),6687(a,1,1,2))]. 6711 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3581(a,1),6687(a,1,1,2)),flip(a)]. 6712 K(x * (y \ 1),x) = K(y \ x,x). [hyper(66,a,6572,a(flip),b,6691,a)]. 6714 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3585(a,2),6691(a,1,1,1))]. 6715 K((1 / x) \ y,y) = K(y * x,y). [para(90(a,1),6712(a,1,1,2)),flip(a)]. 6716 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5413(a,1),6712(a,1,1,2)),flip(a)]. 6717 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(6712(a,1),5807(a,1,1,1,2))]. 6718 K((1 / x) \ y,y) = K(x * y,y). [hyper(285,a,5785,a,b,6715,a),flip(a)]. 6719 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(66,a,625,a(flip),b,6718,a),flip(a)]. 6720 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(66,a,6468,a,b,6696,a)]. 6721 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [hyper(124,a,6697,a(flip),b,97,a)]. 6722 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (x \ 1),y)) * x. [para(6697(a,1),4958(a,2,1,2))]. 6723 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6697(a,1),6567(a,2,2))]. 6724 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2830(a,1),6698(a,1,1,2))]. 6725 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2947(a,1),6698(a,1,1,2))]. 6727 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3754(a,1),6698(a,1,1,2))]. 6728 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5294(a,1),6698(a,1,1,2)),flip(a)]. 6729 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,6661,a,b,6728,a)]. 6730 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4880(a,1),6703(a,1,1,1))]. 6731 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4995(a,1),6703(a,1,1,1))]. 6732 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(2947(a,1),6708(a,1,1,2))]. 6733 K((x \ K(y \ z,z \ y)) * u,w) = K((x \ 1) * u,w). [para(2618(a,1),6704(a,1,1,1,2))]. 6734 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,5966,a,b,6705,a)]. 6735 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2951(a,1),6705(a,1,1,1)),flip(a)]. 6737 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(15(a,1),6724(a,2,1,2))]. 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2520(a,2),6411(a,1,2))]. 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(66,a,6561,a(flip),b,6412,a),flip(a)]. 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(15(a,1),6739(a,1,2,1)),flip(a)]. 6741 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5251(a,1),6577(a,1,1,1)),flip(a)]. 6742 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6741(a,1),52(a,1)),flip(a)]. 6743 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(14(a,1),6599(a,1,2,2))]. 6744 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(285,a,6641,a(flip),b,6719,a),flip(a)]. 6745 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5786,a,6744,a)]. 6746 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(285,a,6640,a(flip),b,6745,a),flip(a)]. 6747 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3642(a,1),6730(a,1,1,1,2))]. 6748 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4282(a,1),6730(a,1,1,1)),flip(a)]. 6749 K(((x \ 1) * (y \ x)) \ 1,z) = (1 / x) * (K(y,z) * x). [para(5523(a,1),6734(a,1,2)),flip(a)]. 6750 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(285,a,6653,a(flip),b,6362,a),flip(a)]. 6751 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(285,a,6374,a,b,6750,a)]. 6752 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(873,a,6582,a),flip(a)]. 6753 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(90(a,1),6606(a,1,2,2)),flip(a)]. 6754 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5799(a,1),6445(a,1,1)),flip(a)]. 6755 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(285,a,6419,a,b,6623,a),flip(a)]. 6756 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6644(a,1),46(a,1)),flip(a)]. 6757 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(78(a,1),6644(a,1,2,2)),flip(a)]. 6759 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(37,a,6757,a(flip),b,6672,a),flip(a)]. 6760 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6672(a,1),46(a,1)),flip(a)]. 6761 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(15(a,1),6759(a,1,1,2)),flip(a)]. 6762 (1 / x) \ ((y \ (x \ 1)) * y) = ((y \ (x \ 1)) * y) * x. [para(5678(a,1),6722(a,2,1))]. 6763 K(x \ 1,x) * K(y \ (x \ 1),y) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,2980,a,b,6762,a)]. 6764 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(78(a,1),6743(a,2,2))]. 6765 ((x \ 1) * y) * K(x,x \ y) = y / R(x,x \ 1,y). [para(87(a,1),6615(a,1,2,1)),flip(a)]. 6767 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4656(a,1),5093(a,2,2))]. 6768 K(x \ 1,x) * K(y \ (x \ 1),y) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),5107(a,1,2))]. 6769 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(5189(a,2),1970(a,1,2))]. 6770 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(66,a,1342,a(flip),b,5600,a),flip(a)]. 6771 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1224(a,2),6770(a,2,2))]. 6772 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5342(a,1),5683(a,2,2))]. 6773 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5359(a,1),6772(a,1,2))]. 6774 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6773(a,1),221(a,1,2,1))]. 6775 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6234(a,1),5828(a,2,1,1))]. 6776 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(4181(a,1),5867(a,1,2,2)),flip(a)]. 6777 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(285,a,5595,a(flip),b,6776,a),flip(a)]. 6778 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4912(a,1),6777(a,1,2)),flip(a)]. 6779 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5950(a,1),5988(a,1,1))]. 6780 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(66,a,5887,a(flip),b,6021,a),flip(a)]. 6781 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(66,a,6468,a(flip),b,6780,a)]. 6782 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(32(a,2),6781(a,1,2))]. 6783 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5698(a,1),6111(a,1,1))]. 6786 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6783(a,2,2))]. 6787 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6786(a,1,1,2))]. 6788 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5031(a,1),6117(a,1,2,2))]. 6790 (1 / x) \ T(T(x \ 1,y),z) != u | T(T(x \ 1,y),z) * x = u. [para(6124(a,1),688(a,1))]. 6791 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6014(a,1),6147(a,1,1)),flip(a)]. 6792 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2963(a,1),6791(a,1,1)),flip(a)]. 6793 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2963(a,1),6792(a,1,1)),flip(a)]. 6794 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(285,a,4596,a(flip),b,6173,a),flip(a)]. 6795 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(6554,a,6794,a)]. 6796 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(6795(a,2),5320(a,1,1)),flip(a)]. 6797 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(285,a,5320,a(flip),b,6796,a)]. 6798 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6174,a,6180,a)]. 6799 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(268(a,1),6798(a,1,1,1))]. 6800 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6798(a,1),2446(a,1,1))]. 6801 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6798(a,1),2686(a,1,1))]. 6802 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6798(a,2),5321(a,1,1))]. 6803 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5364,a,6802,a)]. 6804 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(122,a,6803,a(flip),b,1903,a(flip))]. 6805 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(341(a,1),6804(a,1,2,1))]. 6806 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(122,a,6805,a(flip),b,1921,a(flip)),flip(a)]. 6807 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(709,a,6235,a)]. 6808 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(116(a,1),6807(a,2,2))]. 6809 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6807(a,1),6083(a,1,1,1)),flip(a)]. 6810 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(285,a,6081,a(flip),b,6809,a),flip(a)]. 6811 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6810(a,1),649(a,1,2,1)),flip(a)]. 6812 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(262,a,6283,a),flip(a)]. 6813 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4409(a,1),6812(a,2,1))]. 6814 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(23(a,2),6673(a,1,1,1,1))]. 6815 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(701,a,6755,a)]. 6816 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(66,a,6143,a(flip),b,6815,a)]. 6817 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4952(a,1),6816(a,1,2))]. 6818 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(285,a,5708,a(flip),b,6817,a),flip(a)]. 6819 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(66,a,6018,a(flip),b,6818,a)]. 6820 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4953(a,1),6818(a,1,2))]. 6821 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(571(a,1),6820(a,1,2,2))]. 6822 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(15(a,1),6761(a,1,2)),flip(a)]. 6823 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1839(a,2),6822(a,1,2))]. 6824 (x \ 1) / (y * ((1 / x) / y)) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,6763,a(flip),b,6768,a),flip(a)]. 6825 (x * (((y \ z) * y) * (1 / z))) * a(x,K((1 / z) \ K(y \ z,y),1 / z),K(y \ z,y)) = (x * K((1 / z) \ K(y \ z,y),1 / z)) * K(y \ z,y). [para(5083(a,1),5113(a,1,1,2,1))]. 6826 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(66,a,5379,a,b,5395,a)]. 6827 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5395(a,1),713(a,2,1)),flip(a)]. 6828 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5395(a,1),880(a,1,1,1))]. 6829 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5725,a,6827,a)]. 6830 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1886(a,1),6827(a,1,1,2,1,2))]. 6831 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5595(a,1),6827(a,1,1))]. 6832 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6826(a,1),1620(a,1,1,2)),flip(a)]. 6833 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5397(a,1),880(a,1,1,1))]. 6834 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(838(a,1),5507(a,1,2))]. 6835 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(783(a,2),5611(a,1,2,2,1))]. 6836 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5795(a,1),5796(a,1,1,1))]. 6837 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(285,a,6057,a(flip),b,6064,a),flip(a)]. 6838 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1408(a,1),6201(a,1,2))]. 6839 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(285,a,5816,a(flip),b,6472,a),flip(a)]. 6840 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(66,a,6677,a(flip),b,6839,a),flip(a)]. 6841 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(66,a,6468,a(flip),b,6840,a),flip(a)]. 6842 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6423,a,6841,a),flip(a)]. 6843 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(27(a,2),6842(a,2,2))]. 6844 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(17(a,1),6843(a,1,1,1)),flip(a)]. 6845 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(66,a,5807,a(flip),b,6717,a),flip(a)]. 6846 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(34(a,1),6845(a,1,1))]. 6847 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(6181(a,1),6845(a,1,1)),flip(a)]. 6848 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6751(a,1,1,1))]. 6849 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3820(a,1),6753(a,2,2))]. 6850 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(66,a,3824,a(flip),b,6849,a),flip(a)]. 6851 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3029(a,1),6850(a,1,2,2)),flip(a)]. 6852 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3029(a,1),6851(a,1,1,1)),flip(a)]. 6853 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(180,a,6852,a)]. 6854 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(118(a,1),6853(a,1,1,1,1))]. 6855 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(118(a,1),6854(a,2,2))]. 6856 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(285,a,116,a(flip),b,6800,a),flip(a)]. 6859 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2610(a,2),6801(a,2,2))]. 6860 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1814(a,1),6835(a,1,2))]. 6862 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6838(a,1),479(a,1))]. 6863 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(66,a,6856,a(flip),b,6859,a),flip(a)]. 6864 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(180,a,6863,a)]. 6865 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5054(a,1,1,2))]. 6866 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(37,a,5795,a,b,6865,a(flip))]. 6868 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(453(a,1),6866(a,1,2)),flip(a)]. 6869 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(19(a,2),6868(a,2,2))]. 6870 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(1972,a,5188,a)]. 6871 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6423,a,6870,a)]. 6873 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3914,a,b,6871,a)]. 6874 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3730,a,b,6873,a)]. 6875 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3239,a(flip),b,6874,a)]. 6876 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,6871,a,b,6875,a),flip(a)]. 6877 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5136(a,2),5231(a,2,2,1,1))]. 6878 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(122,a,5236,a(flip),b,5157,a),flip(a)]. 6879 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(4596(a,1),5736(a,1,2,2))]. 6880 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(5981(a,1),5985(a,1,1,2)),flip(a)]. 6881 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5319(a,1),6880(a,1,2,1)),flip(a)]. 6882 K(x \ y,y \ x) * K(x \ y,z) = T((y \ x) \ 1,z) * (y \ x). [para(6468(a,1),6001(a,1,2))]. 6883 T((x \ y) \ 1,z) * (x \ y) = T(y \ x,z) * (1 / (y \ x)). [hyper(66,a,5813,a(flip),b,6882,a),flip(a)]. 6884 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(285,a,1965,a(flip),b,6070,a),flip(a)]. 6886 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(116(a,1),6116(a,1,2,2,2))]. 6887 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(6123(a,2),6886(a,2,2,2,2))]. 6888 (x \ K(y \ 1,z)) * ((x \ 1) \ 1) = K(((x \ y) * x) \ 1,z). [hyper(66,a,6706,a(flip),b,6144,a),flip(a)]. 6889 K(((x \ y) * x) \ 1,y) = K(y \ 1,y). [hyper(4984,a,6888,a),flip(a)]. 6890 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(13(a,1),6155(a,2,1,2,2))]. 6891 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(66,a,5822,a(flip),b,6168,a)]. 6893 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(90(a,1),6245(a,1,1,1,1,2)),flip(a)]. 6894 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6468(a,1),6893(a,1,2))]. 6895 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(6697(a,1),6894(a,1,2))]. 6896 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(37,a,4692,a,b,6895,a)]. 6897 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(6896(a,1),5977(a,1,1))]. 6898 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6322(a,1),6367(a,1,2)),flip(a)]. 6899 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(285,a,25,a,b,6898,a),flip(a)]. 6900 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6898(a,2),479(a,1))]. 6901 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(66,a,36,a,b,6899,a)]. 6902 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(14(a,1),6569(a,1,1,2,1)),flip(a)]. 6903 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6731(a,1),6723(a,2,2))]. 6904 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(66,a,6886,a(flip),b,6788,a),flip(a)]. 6905 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(242(a,1),6788(a,1,2))]. 6906 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5822(a,1),6891(a,2,1))]. 6907 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(285,a,6895,a(flip),b,6903,a),flip(a)]. 6908 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(224,a,6906,a(flip),b,6175,a(flip)),flip(a)]. 6910 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(27(a,2),6908(a,1,2,1,1,2)),flip(a)]. 6911 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(285,a,5497,a,b,6910,a),flip(a)]. 6912 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6468(a,1),6911(a,1,1,2)),flip(a)]. 6913 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(66,a,4946,a(flip),b,4968,a),flip(a)]. 6914 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3757(a,2),4975(a,1,1))]. 6915 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5245(a,1),5250(a,1,2))]. 6916 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5925(a,1),6915(a,2,3))]. 6917 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4250(a,1),6916(a,1,2))]. 6918 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(285,a,5258,a(flip),b,6028,a),flip(a)]. 6920 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(285,a,5708,a(flip),b,6109,a),flip(a)]. 6921 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(66,a,6095,a(flip),b,6920,a)]. 6922 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6424(a,1),6921(a,1,1))]. 6923 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(32(a,2),6540(a,1,2))]. 6924 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(14(a,1),6828(a,2,1,1))]. 6925 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(14(a,1),6833(a,2,1,1))]. 6926 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5063(a,2),6913(a,1,2))]. 6927 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(262,a,6914,a),flip(a)]. 6928 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6681(a,1),6927(a,2,1))]. 6929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6928(a,1),6018(a,1,2)),flip(a)]. 6930 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(285,a,5448,a(flip),b,6929,a),flip(a)]. 6932 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(66,a,6819,a(flip),b,6930,a)]. 6933 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(66,a,6429,a(flip),b,6930,a)]. 6934 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(6933(a,1),6090(a,1,1))]. 6935 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(112(a,1),6932(a,1,2,2,2))]. 6936 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(285,a,3729,a(flip),b,6923,a),flip(a)]. 6938 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6936(a,1),3390(a,1,1))]. 6939 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(265,a,6926,a),flip(a)]. 6940 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5439(a,1),5108(a,1,1,2,1))]. 6941 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(135,a,6940,a)]. 6942 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [hyper(185,a,6941,a(flip))]. 6943 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5360(a,1),5465(a,2,2))]. 6944 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(285,a,14,a(flip),b,6943,a),flip(a)]. 6947 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(6944(a,1),53(a,1)),flip(a)]. 6948 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(222(a,1),5626(a,1,2)),flip(a)]. 6949 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5320(a,1),6948(a,1,1,2,1))]. 6950 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(223(a,1),5627(a,1,2)),flip(a)]. 6951 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5320(a,1),6950(a,1,1,2,1))]. 6952 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(14(a,1),6020(a,1,1,2,1)),flip(a)]. 6953 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6468(a,1),6952(a,1,2,1,2))]. 6954 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(4598(a,1),6052(a,1,1,2))]. 6955 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(6511(a,1),6193(a,2,1))]. 6956 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5150(a,1),6955(a,1,1,1))]. 6957 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(180,a,6956,a)]. 6958 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6957(a,1,1,2))]. 6959 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(32(a,2),6782(a,2,2))]. 6960 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(66,a,989,a(flip),b,6878,a)]. 6962 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3022(a,1),6954(a,1,1))]. 6963 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(6711(a,1),6962(a,1,1,1))]. 6964 (((x \ 1) * y) \ y) * T(L(y,x \ 1,x) / x,x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(118(a,2),6031(a,1,2))]. 6965 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3138(a,1),6119(a,1,2,1,1))]. 6966 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3341(a,1),6965(a,1,2))]. 6967 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(66,a,5714,a(flip),b,6473,a),flip(a)]. 6969 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1417(a,1),6967(a,1,1))]. 6970 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(66,a,5827,a(flip),b,6969,a)]. 6971 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6729(a,1),6613(a,1,1))]. 6972 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1673(a,2),6834(a,1,2))]. 6973 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(265,a,6972,a)]. 6974 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5994(a,1),6973(a,1,2)),flip(a)]. 6975 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5144(a,1),6974(a,2,2))]. 6976 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(90(a,1),6975(a,1,1,2,1))]. 6977 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(90(a,1),6976(a,2,2,1,2))]. 6978 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(122,a,802,a(flip),b,6977,a(flip))]. 6979 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(122,a,6977,a(flip),b,6787,a(flip))]. 6982 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(117(a,1),6978(a,2,1))]. 6983 L(K(x,y),y \ 1,z) = K(x,y). [hyper(66,a,5490,a(flip),b,6979,a)]. 6984 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(6979(a,1),134(a,1,2)),flip(b)]. 6986 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,5977,a(flip),b,6983,a)]. 6988 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6982(a,1),4922(a,1,1)),flip(a)]. 6989 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(66,a,4313,a(flip),b,6988,a)]. 6990 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(90(a,1),6989(a,2,1,1,1))]. 6991 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(66,a,4316,a(flip),b,6990,a)]. 6992 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * ((y * x) / x)). [para(16(a,1),6991(a,1,1,1)),flip(a)]. 6993 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * y). [para(16(a,1),6992(a,2,2,2))]. 6994 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(118(a,1),4825(a,1,2))]. 6996 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(66,a,4994,a(flip),b,6994,a)]. 6997 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(87(a,1),6996(a,1,1,1)),flip(a)]. 6999 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(66,a,3936,a(flip),b,6997,a)]. 7000 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(183(a,1),6999(a,1,1)),flip(a)]. 7001 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(117(a,2),7000(a,1,1))]. 7002 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4996(a,1),4993(a,2,2))]. 7003 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(66,a,5498,a,b,5057,a)]. 7004 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6747(a,1),7003(a,1,2))]. 7005 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6273(a,1),7004(a,2,1))]. 7006 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5125(a,2),7005(a,2,1,1))]. 7007 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(124,a,2701,a(flip),b,7006,a),flip(a)]. 7008 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(117(a,1),7007(a,2,2,2))]. 7009 (x / y) * T(T((x / y) \ 1,z),u) = (x * T(T(x \ y,z),u)) / y. [para(5829(a,1),5512(a,1,1,2,1)),flip(a)]. 7010 (x * y) * T((y * T(x,y)) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),5748(a,1,1))]. 7011 (x * y) * T((x * y) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),7010(a,1,2,1,1))]. 7012 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(112(a,1),5919(a,1,1)),flip(a)]. 7013 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(4477,a,7012,a),flip(a)]. 7014 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(5579,a,7013,a)]. 7016 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,6922,a(flip),b,7014,a)]. 7017 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,7014,a),flip(a)]. 7018 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(15(a,1),7014(a,1,2)),flip(a)]. 7019 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5157(a,1),7014(a,1,2))]. 7020 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5529(a,1),7014(a,1,2)),flip(a)]. 7021 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(66,a,3613,a,b,7017,a)]. 7022 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(122,a,7017,a(flip),b,3613,a)]. 7023 K(R(x,x \ 1,y),z) = K(x,z). [hyper(285,a,352,a(flip),b,7018,a),flip(a)]. 7024 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(110(a,1),7018(a,1,1))]. 7026 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(37,a,3692,a,b,7021,a)]. 7027 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(7022(a,1),5216(a,1,2)),flip(a)]. 7028 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(128,a,7026,a)]. 7030 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(66,a,5013,a(flip),b,7028,a)]. 7031 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(90(a,1),7024(a,1,1,2,1)),flip(a)]. 7032 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(17(a,1),7031(a,2,1,1))]. 7033 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(17(a,1),7031(a,2,1,2))]. 7034 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(3900,a,7027,a)]. 7035 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6477(a,1),7032(a,1,1))]. 7036 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6093(a,2),7034(a,1,2))]. 7037 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4231(a,2),7016(a,1,2,1,1))]. 7038 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4344,a,7036,a)]. 7039 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(136,a,7038,a)]. 7040 x / R(x,y,z) = R(x,y,z) \ x. [hyper(66,a,1616,a(flip),b,7039,a)]. 7041 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(136,a,7040,a)]. 7042 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(7040(a,1),6098(a,1,1,2))]. 7043 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(4704(a,1),7041(a,1,1,1))]. 7044 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(7041(a,1),4926(a,1,1,1))]. 7045 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5287,a,7044,a)]. 7046 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(4704(a,1),7043(a,1,2))]. 7047 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(322,a,7046,a)]. 7048 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(66,a,4854,a(flip),b,7047,a)]. 7049 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [hyper(124,a,7048,a(flip),b,117,a(flip))]. 7050 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5191(a,1),5926(a,1,1))]. 7051 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1563,a,7050,a)]. 7052 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5245(a,1),7051(a,2,1))]. 7053 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4250(a,1),7052(a,2,1))]. 7054 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = (K(w,v5) / v5) / (K(x \ (z * y),(z * y) \ x) / T(v5,w)). [para(6876(a,1),6131(a,2,2,1))]. 7055 (T(K(x \ 1,y),z) * (x \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(90(a,1),6222(a,1,1,2,1))]. 7056 ((x \ 1) * T(K(x \ 1,y),z)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(3349(a,1),7055(a,1,1))]. 7057 T(K(x \ 1,y),z) * K(x \ 1,x) = (x \ T(K(x \ 1,y),z)) * x. [para(6384(a,1),7056(a,1,1)),flip(a)]. 7058 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ T(K(x \ 1,z),y)) * x. [para(6080(a,2),7057(a,1,1))]. 7059 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ K(T(x,y) \ 1,z)) * x. [para(6080(a,2),7058(a,2,1,2))]. 7060 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(285,a,4932,a,b,6351,a)]. 7061 ((x * y) * T(T((x * y) \ x,y),z)) / x = T(y \ K(y,x),z) * ((x * y) / x). [hyper(66,a,7009,a(flip),b,6536,a)]. 7062 (x * (y * T(T(y \ 1,y),z))) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(831(a,1),7061(a,1,1))]. 7063 T(x \ K(x,y),z) * ((y * x) / y) = (y * (T(x \ 1,z) * x)) / y. [para(221(a,1),7062(a,1,1,2)),flip(a)]. 7064 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3839(a,1),7060(a,1,1)),flip(a)]. 7065 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7064(a,1),6372(a,1,1)),flip(a)]. 7066 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(7064(a,1),6373(a,1,2)),flip(a)]. 7067 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3657(a,1),5009(a,1,2))]. 7068 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4869(a,1),5010(a,1,2)),flip(a)]. 7069 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(285,a,23,a,b,7068,a),flip(a)]. 7072 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1388(a,1),7069(a,1,2)),flip(a)]. 7074 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(66,a,6983,a(flip),b,7072,a),flip(a)]. 7077 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [hyper(124,a,7074,a(flip),b,23,a(flip))]. 7078 R(x,y,K(z,y \ 1)) = x. [hyper(475,a,7077,a)]. 7080 R(x,y \ 1,K(z,y)) = x. [para(4596(a,1),7078(a,1,3))]. 7081 R(x,y \ z,K(u,z \ y)) = x. [para(6392(a,1),7078(a,1,3))]. 7082 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(66,a,5209,a(flip),b,7080,a)]. 7083 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7081(a,1),462(a,1,1))]. 7084 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5128(a,1),7082(a,1,2))]. 7085 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(180,a,7084,a)]. 7087 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7083(a,1),6890(a,1,2))]. 7088 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(66,a,6612,a(flip),b,7087,a),flip(a)]. 7090 T(x,(y \ z) * (z \ y)) = x. [hyper(57,a,7088,a)]. 7093 T(x,y * ((z * y) \ z)) = x. [para(14(a,1),7090(a,1,2,1))]. 7096 K(x,y * ((z * y) \ z)) = 1. [hyper(58,a,7093,a)]. 7098 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(774,a,5398,a),flip(a)]. 7099 T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). [hyper(5890,a,7098,a)]. 7100 ((x * y) * z) \ (R(y,x,z) * (x * z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(223(a,1),5815(a,1,2))]. 7101 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(112(a,1),7100(a,1,2)),flip(a)]. 7102 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(66,a,5704,a(flip),b,5974,a),flip(a)]. 7104 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(285,a,5830,a(flip),b,7102,a),flip(a)]. 7105 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,5704,a(flip),b,7104,a)]. 7107 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(66,a,5830,a(flip),b,7105,a)]. 7108 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6836(a,1),6077(a,1,1))]. 7109 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(285,a,5718,a(flip),b,7108,a),flip(a)]. 7110 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(35(a,1),7109(a,1,1,2))]. 7111 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1354(a,1),6118(a,1,2))]. 7112 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(14(a,1),7111(a,1,2,1,2,1))]. 7113 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6779(a,1),6609(a,1,1))]. 7114 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(66,a,5602,a(flip),b,6905,a),flip(a)]. 7116 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(66,a,6904,a(flip),b,7114,a)]. 7117 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(242(a,1),7116(a,1,2,2))]. 7118 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,x \ y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(5623(a,2),6964(a,1,2,1))]. 7119 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(66,a,4842,a(flip),b,7067,a)]. 7120 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3749(a,1),7119(a,1,2))]. 7121 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5664,a,7120,a),flip(a)]. 7123 R(x,1 / y,z) = R(x,y \ 1,z). [para(1103(a,1),7121(a,1,2)),flip(a)]. 7127 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7123(a,1),3589(a,1,2))]. 7128 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2954(a,1),7127(a,1,2,1))]. 7129 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4039(a,1),7128(a,1,2,1)),flip(a)]. 7130 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4711(a,1),7129(a,1,1)),flip(a)]. 7131 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(180,a,7130,a)]. 7132 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(66,a,3425,a(flip),b,7131,a)]. 7133 T(x,y * (((z * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(90(a,1),4997(a,1,2,2,1,1,1))]. 7135 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3735(a,1),7133(a,1,2,2,1)),flip(a)]. 7136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(66,a,7002,a,b,7135,a)]. 7137 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3646(a,1),7136(a,1,2))]. 7138 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(66,a,4809,a(flip),b,7137,a),flip(a)]. 7140 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(122,a,7138,a(flip),b,5130,a(flip)),flip(a)]. 7141 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(285,a,5125,a,b,7140,a),flip(a)]. 7142 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1905(a,1),7141(a,1,2,2,1))]. 7143 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(15(a,1),7142(a,2,2))]. 7144 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(87(a,1),7142(a,1,2,2,1)),flip(a)]. 7145 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(90(a,1),7142(a,1,2,2)),flip(a)]. 7146 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2770(a,2),7142(a,1,2,2))]. 7147 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(14(a,1),7143(a,1,2,2)),flip(a)]. 7148 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2960(a,1),7143(a,1,2,2))]. 7149 K(x,K(y \ 1,y) * z) = K(x,z). [para(2991(a,1),7143(a,1,2))]. 7150 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2649(a,1),7149(a,1,2)),flip(a)]. 7153 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2915(a,1),7149(a,1,2))]. 7154 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2976(a,1),7149(a,1,2))]. 7155 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(3130(a,1),7149(a,1,2))]. 7156 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3656(a,2),7149(a,1,2))]. 7157 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3892(a,1),7149(a,1,2)),flip(a)]. 7158 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4852(a,1),7149(a,1,2)),flip(a)]. 7159 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4883(a,2),7149(a,1,2))]. 7160 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4884(a,1),7149(a,1,2))]. 7161 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4886(a,1),7149(a,1,2))]. 7163 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4895(a,1),7149(a,1,2))]. 7164 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(5020(a,2),7149(a,1,2))]. 7165 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5021(a,2),7149(a,1,2))]. 7167 K(x,(1 / x) * y) * y = x * (y / x). [para(7147(a,2),5571(a,1,1))]. 7169 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2933(a,2),7153(a,1,2,1))]. 7170 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(66,a,6208,a(flip),b,7154,a),flip(a)]. 7171 x * K(x \ (1 / y),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(7154(a,1),3621(a,1,2))]. 7172 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7157(a,1),6934(a,1,1)),flip(a)]. 7173 (1 / x) * K(y,y \ (x \ 1)) = y * ((1 / x) / y). [hyper(124,a,7158,a(flip),b,5434,a)]. 7174 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [hyper(124,a,7158,a(flip),b,5408,a)]. 7175 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5729(a,1),7167(a,1,1))]. 7176 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2649(a,1),7156(a,1,2,1)),flip(a)]. 7178 K(x,(T(y \ 1,y) * z) / u) = K(x,((y \ 1) * z) / u). [para(3743(a,1),7156(a,1,2,1))]. 7179 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1906(a,1),7159(a,1,2,1,1))]. 7180 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2860(a,1),7159(a,1,2,1))]. 7181 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(2975(a,1),7159(a,1,2,1)),flip(a)]. 7182 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3637(a,1),7159(a,1,2)),flip(a)]. 7183 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1906(a,1),7164(a,1,2,2,1))]. 7184 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2888(a,1),7164(a,1,2,2))]. 7185 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(2947(a,1),7164(a,1,2,2))]. 7186 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4879(a,1),7164(a,1,2,2)),flip(a)]. 7187 K(x,y / (T(z \ 1,z) * u)) = K(x,y / ((z \ 1) * u)). [para(5158(a,1),7164(a,1,2,2)),flip(a)]. 7188 K(x,y / (z * (1 / (1 / (z \ u))))) = K(x,y / u). [para(2617(a,1),7165(a,1,2,2))]. 7189 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(66,a,4666,a(flip),b,7170,a)]. 7190 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(66,a,4665,a(flip),b,7170,a),flip(a)]. 7191 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(124,a,7170,a(flip),b,5434,a),flip(a)]. 7192 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(7190(a,1),5500(a,2,2))]. 7193 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7190(a,1),6211(a,1,2))]. 7194 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4894(a,1),7179(a,1,2,1))]. 7195 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5036(a,2),7179(a,1,2,1))]. 7196 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(2835(a,1),7182(a,1,2,2))]. 7197 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2888(a,1),7182(a,1,2,2))]. 7198 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2947(a,1),7182(a,1,2,2))]. 7199 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3710(a,1),7183(a,1,2,2))]. 7200 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3711(a,1),7183(a,1,2,2))]. 7201 K(x,y / ((((z \ 1) \ 1) * u) \ w)) = K(x,y / ((z * u) \ w)). [para(4894(a,1),7183(a,1,2,2))]. 7202 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(5962(a,1),7183(a,1,2,2))]. 7203 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(66,a,6611,a,b,7160,a)]. 7204 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(7161(a,1),5619(a,1,2,2))]. 7206 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(87(a,1),7176(a,1,2,1,2)),flip(a)]. 7207 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(66,a,2922,a(flip),b,7191,a),flip(a)]. 7208 ((1 / ((1 / x) * (x / y))) \ y) * K(((1 / x) * (x / y)) \ 1,a(1 / x,x / y,y)) = y / (1 / ((1 / x) * (x / y))). [para(865(a,1),7193(a,1,2,2))]. 7209 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(6497,a,7207,a)]. 7210 x * K(y,x * (y \ 1)) = y * (x / y). [para(3341(a,1),7207(a,1,2))]. 7211 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(37,a,5435,a,b,7210,a),flip(a)]. 7212 T(x,y * (x \ 1)) = T(x,y / x). [hyper(224,a,7210,a(flip),b,6321,a),flip(a)]. 7214 K(x,y * (1 / x)) = K(x,x \ y). [hyper(66,a,7150,a,b,7211,a)]. 7215 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(285,a,4123,a(flip),b,7212,a),flip(a)]. 7216 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(7214(a,1),5344(a,1,2)),flip(a)]. 7217 K(x * (1 / y),y) = K(y \ x,y). [hyper(285,a,5344,a(flip),b,7216,a),flip(a)]. 7218 K(x * (y \ 1),y) = K(y \ x,y). [hyper(66,a,6688,a(flip),b,7217,a)]. 7219 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(87(a,1),7217(a,1,1,2)),flip(a)]. 7220 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(66,a,5328,a(flip),b,7218,a)]. 7221 K(x \ (y / (x \ 1)),x) = K(y,x). [para(17(a,1),7218(a,1,1)),flip(a)]. 7222 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(7221(a,1),5390(a,2,2))]. 7223 K(R(x,y,y \ 1),y) = K(x,y). [hyper(285,a,625,a(flip),b,7220,a),flip(a)]. 7224 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5297,a,7223,a),flip(a)]. 7226 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(7223(a,1),6520(a,1,1))]. 7227 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5138,a,7224,a),flip(a)]. 7228 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(285,a,3789,a,b,7224,a),flip(a)]. 7229 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(122,a,7227,a,b,5130,a(flip)),flip(a)]. 7230 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(285,a,5125,a,b,7229,a)]. 7231 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(285,a,3769,a,b,7229,a),flip(a)]. 7232 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(7230(a,1),5426(a,1,1))]. 7233 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(285,a,6408,a(flip),b,7219,a),flip(a)]. 7234 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(66,a,4660,a(flip),b,7219,a),flip(a)]. 7235 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [hyper(124,a,7219,a(flip),b,97,a),flip(a)]. 7236 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(7234(a,1),5252(a,1,1,2))]. 7237 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(7236(a,1),5597(a,1,1)),flip(a)]. 7238 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(7231(a,2),4369(a,2,1,1))]. 7239 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5464,a,7232,a)]. 7240 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(7209(a,1),6433(a,1,1)),flip(a)]. 7241 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5771,a,7235,a)]. 7242 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(15(a,1),7235(a,2,2,1))]. 7243 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(225,a,7237,a),flip(a)]. 7244 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(7243(a,1),1830(a,1,2,1,1))]. 7245 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(7243(a,2),1830(a,1,1))]. 7246 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(16(a,1),7175(a,2,2))]. 7247 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5313,a,7246,a),flip(a)]. 7248 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(66,a,7023,a,b,7247,a)]. 7249 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2961(a,1),7247(a,1,2))]. 7250 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2984(a,1),7249(a,1,2,1)),flip(a)]. 7251 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(66,a,5982,a(flip),b,7226,a),flip(a)]. 7252 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1246(a,1),7251(a,1,2,1))]. 7253 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(180,a,7252,a),flip(a)]. 7254 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(337,a,7253,a)]. 7255 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(7222(a,1),1334(a,2,1,2))]. 7256 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(4596(a,1),7240(a,1,2))]. 7257 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(7218(a,1),7256(a,1,2)),flip(a)]. 7258 x * ((y * (x / y)) \ 1) = K(y \ x,y). [hyper(124,a,7257,a,b,xx)]. 7260 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(66,a,4738,a(flip),b,7254,a)]. 7261 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(285,a,5055,a(flip),b,7260,a),flip(a)]. 7262 x * K(x \ (y \ 1),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(6697(a,1),7171(a,1,2))]. 7263 K(x,y / (z * ((u \ 1) * x))) = K(x,y / (z * (x / u))). [hyper(66,a,6904,a(flip),b,7186,a)]. 7264 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2948(a,1),7195(a,1,2,1,1)),flip(a)]. 7265 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(87(a,1),7199(a,1,2,2,1,2)),flip(a)]. 7266 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6392(a,1),7242(a,2,2))]. 7267 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(285,a,5435,a(flip),b,7266,a),flip(a)]. 7269 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(66,a,6216,a,b,7267,a)]. 7270 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(136,a,7269,a)]. 7271 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(597(a,1),7269(a,1,1))]. 7272 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(285,a,4741,a(flip),b,7271,a),flip(a)]. 7273 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(388,a,7272,a)]. 7274 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(14(a,1),7273(a,1,3)),flip(a)]. 7275 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(66,a,3776,a(flip),b,7274,a)]. 7276 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(4197(a,1),7274(a,1,2))]. 7277 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7275(a,1),1591(a,1,1,2))]. 7278 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1831,a,7277,a)]. 7279 (x * y) \ T(x,y) = (y * x) \ x. [hyper(66,a,4525,a(flip),b,7278,a)]. 7280 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(316,a,7279,a),flip(a)]. 7281 (x * y) * T(R(1 / y,y,x),x * y) = T(x,y). [hyper(124,a,6214,a,b,7279,a)]. 7282 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(246(a,1),7279(a,1,1))]. 7283 x * (T(y,x) * T(y \ (x \ y),z)) = (y * x) * T((x * y) \ y,z). [para(7279(a,1),7011(a,1,2,1)),flip(a)]. 7284 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(263,a,7281,a),flip(a)]. 7285 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(123,a,7281,a(flip),b,116,a(flip))]. 7286 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(122,a,7281,a(flip),b,116,a(flip))]. 7287 T(x,y) = (x / (y * x)) * (x * y). [hyper(285,a,365,a(flip),b,7284,a),flip(a)]. 7288 (x / (y * x)) \ T(x,y) = x * y. [hyper(122,a,7284,a,b,365,a(flip))]. 7289 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(7284(a,2),414(a,1,2,1,2))]. 7290 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(123,a,7287,a,b,152,a(flip))]. 7291 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7287(a,2),6322(a,1,1)),flip(a)]. 7293 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = ((x \ 1) * y) * K(x,x \ 1). [para(7288(a,1),3928(a,1,1)),flip(a)]. 7294 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(622,a,7285,a)]. 7295 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(7285(a,1),1514(a,1,1)),flip(a)]. 7296 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4076(a,1),7290(a,1,1))]. 7297 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(118(a,1),7294(a,1,3)),flip(a)]. 7298 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7297(a,1),367(a,1,1))]. 7299 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7298(a,1),723(a,1,2))]. 7300 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3029(a,1),7296(a,1,1))]. 7301 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5233(a,1),7296(a,1,1))]. 7303 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [hyper(180,a,7300,a(flip))]. 7304 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(285,a,357,a(flip),b,7276,a),flip(a)]. 7305 (1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))). [hyper(66,a,2755,a(flip),b,7262,a),flip(a)]. 7306 (1 / x) * (1 / (1 / ((1 / x) \ y))) = x \ (1 / (1 / (x * y))). [hyper(66,a,3620,a,b,7305,a)]. 7307 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = K(R(x,z,u) \ 1,y \ x). [hyper(285,a,5969,a(flip),b,7172,a),flip(a)]. 7308 (x * y) * T((y * x) \ x,z) = K(y \ 1,z) * T(x,y). [hyper(6187,a,7283,a),flip(a)]. 7309 (x * y) * T((y * x) \ x,z) != u | K(y \ 1,z) * T(x,y) = u. [para(7283(a,1),6187(a,1))]. 7310 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(32(a,2),7289(a,2,1))]. 7311 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(7279(a,1),7310(a,1,2,1)),flip(a)]. 7312 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [hyper(285,a,7308,a(flip),b,7311,a),flip(a)]. 7313 R(T(1 / x,y),x,z) * (z * x) != u | K(x \ 1,y) * T(z,x) = u. [para(7311(a,2),7309(a,1))]. 7314 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(285,a,1490,a,b,7312,a),flip(a)]. 7315 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6086(a,1),7146(a,1,2,2,2))]. 7316 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(66,a,6626,a(flip),b,7155,a)]. 7317 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(87(a,1),7204(a,1,2,2,2,2))]. 7319 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(285,a,4929,a,b,7317,a)]. 7320 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6551,a,7233,a)]. 7322 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(718(a,1),7238(a,1,1,2))]. 7323 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(7228(a,2),7322(a,1,1)),flip(a)]. 7324 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(185,a,7323,a)]. 7325 T(K(x,y),z) * T(K(y,x),z) = 1. [hyper(138,a,7323,a)]. 7326 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [hyper(124,a,7323,a(flip),b,465,a),flip(a)]. 7327 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(124,a,7323,a(flip),b,5134,a(flip))]. 7328 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(5973(a,1),7323(a,1,1,1)),flip(a)]. 7329 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7323(a,1),5357(a,1,2,1))]. 7331 K(K(x,y),z) = K(z,K(y,x)). [hyper(5478,a,7327,a)]. 7332 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2240,a,7327,a)]. 7333 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(66,a,6608,a,b,7327,a)]. 7334 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7327(a,1),5478(a,1))]. 7335 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6441(a,1),7327(a,1,2))]. 7336 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(124,a,7331,a,b,5125,a(flip))]. 7337 K(x,K(y,z)) * K(x,K(z,y)) = 1. [hyper(124,a,7331,a(flip),b,5320,a)]. 7338 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(7331(a,1),5190(a,2,1)),flip(a)]. 7339 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(7331(a,1),5364(a,1,1))]. 7340 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7331(a,1),5219(a,1,1))]. 7341 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5610,a,7336,a),flip(a)]. 7342 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5377,a,7336,a)]. 7343 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(7336(a,1),5191(a,1,1))]. 7344 T(K(x,y),K(z,y)) = K(x,y). [hyper(2235,a,7342,a),flip(a)]. 7345 T(K(x,y),K(x,z)) = K(x,y). [hyper(2230,a,7342,a),flip(a)]. 7347 K(x,y) * K(z,y) = K(z,y) * K(x,y). [hyper(124,a,7344,a(flip),b,27,a(flip))]. 7351 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(66,a,6527,a(flip),b,7332,a)]. 7353 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(66,a,7331,a(flip),b,7351,a),flip(a)]. 7354 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(32(a,2),7328(a,2,1))]. 7355 T(R(K(x,y),z,u) \ 1,w) = R(T(K(x,y),w),z,u) \ 1. [para(5975(a,1),7354(a,1,1))]. 7356 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = (1 / x) * y. [hyper(285,a,2950,a(flip),b,7293,a),flip(a)]. 7357 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(15(a,1),7316(a,1,2)),flip(a)]. 7359 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2398(a,2),7357(a,1,2,1))]. 7360 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(66,a,7250,a,b,7359,a)]. 7361 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(285,a,6630,a(flip),b,7360,a),flip(a)]. 7362 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6276,a,7319,a),flip(a)]. 7363 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2955,a,7362,a)]. 7364 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [hyper(2412,a,7362,a)]. 7365 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(66,a,5468,a,b,7362,a)]. 7366 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(315,a,7363,a)]. 7368 (x * ((1 / y) / x)) * y = K(x,x \ (y \ 1)). [hyper(4947,a,7366,a)]. 7369 K(x,(x * y) \ 1) = K(x,x \ (y \ 1)). [hyper(6622,a,7368,a)]. 7370 (x * K(y,y \ 1)) / K(z,z \ y) = x / ((y \ 1) * (z * (y / z))). [para(7364(a,1),4840(a,2,2))]. 7371 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6189(a,1),7365(a,1,2))]. 7372 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7323(a,1),7326(a,1,3)),flip(a)]. 7373 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7372(a,1),47(a,1))]. 7374 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(931(a,1),7255(a,1,2,1))]. 7375 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(7222(a,1),7374(a,1,2)),flip(a)]. 7376 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(180,a,7375,a)]. 7377 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(6393(a,1),7376(a,1,1))]. 7378 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(709,a,7377,a)]. 7379 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(138,a,7377,a)]. 7380 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7377(a,1),240(a,1,2)),flip(b)]. 7382 L(x,K(y,x),z) = x. [para(3185(a,1),7378(a,1,1))]. 7383 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(7382(a,1),34(a,1,1)),flip(a)]. 7384 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(7382(a,1),35(a,1,1)),flip(a)]. 7385 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(7382(a,1),413(a,1,2,1))]. 7388 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(7383(a,1),3249(a,1,2,2)),flip(a)]. 7389 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(7384(a,1),444(a,1,2,2)),flip(a)]. 7390 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(285,a,6394,a,b,7379,a),flip(a)]. 7392 (x * K(y,z)) * K(z,y) = x. [hyper(38,a,6336,a(flip),b,7379,a),flip(a)]. 7393 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(123,a,7379,a(flip),b,6336,a)]. 7394 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6322(a,1),7379(a,1,1)),flip(a)]. 7395 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6984,a,7392,a),flip(a)]. 7396 x / K(y,z) = x * K(z,y). [hyper(293,a,7392,a),flip(a)]. 7398 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(224,a,7392,a,b,5360,a)]. 7399 (x * K(y,z)) \ x = K(z,y). [hyper(128,a,7392,a)]. 7400 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(122,a,117,a,b,7392,a)]. 7401 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(38,a,7343,a,b,7392,a),flip(a)]. 7402 (x * T(y,z)) * K(z,y) = x * y. [hyper(38,a,6322,a,b,7392,a),flip(a)]. 7403 (x / y) * K(z,y) = x / T(y,z). [hyper(38,a,6319,a,b,7392,a),flip(a)]. 7404 (T(x,y) \ K(x,z)) * K(z,x) = T(x,y) \ 1. [hyper(38,a,6045,a,b,7392,a),flip(a)]. 7405 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(38,a,5631,a,b,7392,a),flip(a)]. 7406 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(38,a,2229,a,b,7392,a),flip(a)]. 7408 (x * K(y,z)) / z = x / T(z,y). [hyper(123,a,7392,a(flip),b,6321,a),flip(a)]. 7409 x * K(y,z) != u | u * K(z,y) = x. [para(7392(a,1),47(a,1)),flip(a)]. 7410 x / K(y,z) != u | x * K(z,y) = u. [para(7392(a,1),294(a,1,1)),flip(b)]. 7411 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7392(a,1),304(a,1,2)),flip(b)]. 7413 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7392(a,1),103(a,1,1))]. 7414 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7392(a,1),113(a,2,1))]. 7415 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7392(a,1),447(a,1,2,2))]. 7416 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7392(a,1),647(a,1,1,2))]. 7417 (x * K(y,z)) * T(z,y) = x * z. [para(7392(a,1),6311(a,1,1)),flip(a)]. 7418 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7392(a,1),6977(a,1,1)),flip(a)]. 7419 (x / T(y,z)) / K(z,y) = x / y. [hyper(285,a,6319,a(flip),b,7396,a),flip(a)]. 7420 (x * K(y,y \ 1)) / K(z,y) = x * (T(y,z) * (1 / y)). [hyper(285,a,5814,a(flip),b,7396,a),flip(a)]. 7421 (x * K(y,y \ 1)) * K(z \ y,z) = x / ((y \ 1) * (z * (y / z))). [hyper(66,a,7370,a(flip),b,7396,a),flip(a)]. 7422 (x * K(y,z)) * K(z,y) != u | x = u. [para(7396(a,1),237(a,1,1))]. 7425 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7396(a,1),487(a,1,1))]. 7426 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),708(a,1,1,2))]. 7427 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7396(a,1),1847(a,1,1,2))]. 7428 x / (K(y,z) \ 1) = x * K(y,z). [para(5320(a,2),7396(a,1,2))]. 7431 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(285,a,5950,a(flip),b,7399,a),flip(a)]. 7432 (x / T(y,z)) * y = x * K(z,y). [hyper(42,a,6359,a,b,7399,a)]. 7433 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7399(a,2),5334(a,1,1))]. 7434 (x / y) \ (x / T(y,z)) = K(z,y). [para(6319(a,1),7399(a,1,1))]. 7435 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6320(a,1),7399(a,1,1))]. 7436 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6344(a,2),7399(a,1,1))]. 7437 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6462(a,2),7399(a,1,1))]. 7438 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(6461(a,1),7399(a,1,1)),flip(a)]. 7439 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(6759(a,1),7399(a,1,1,2))]. 7440 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7018(a,1),7399(a,1,1,2)),flip(a)]. 7441 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(224,a,7402,a,b,5360,a)]. 7444 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7402(a,1),6311(a,1,1)),flip(a)]. 7445 ((x * T(y,z)) / z) * K(z,y) = (x * y) / z. [para(7402(a,1),6348(a,1,1)),flip(a)]. 7447 x / T(y \ x,z) = y * K(z,y \ x). [hyper(315,a,7403,a),flip(a)]. 7448 (x / y) * K(x,y) = T(x,y) / y. [hyper(285,a,4120,a,b,7403,a),flip(a)]. 7450 T(x / y,K(x,y)) = x / y. [hyper(224,a,7403,a,b,5584,a)]. 7452 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(7403(a,1),315(a,1))]. 7453 T(x / y,K(y,x)) = x / y. [hyper(43,a,7342,a,b,7450,a)]. 7455 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7405(a,1),113(a,2,2))]. 7456 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(7408(a,1),118(a,1,1))]. 7457 T(x * K(y,z),T(z,y)) = T(z,y) \ (x * z). [hyper(224,a,7417,a,b,15,a)]. 7458 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(128,a,7417,a)]. 7459 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(123,a,5197,a(flip),b,7417,a)]. 7460 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(122,a,5146,a(flip),b,7417,a)]. 7461 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(122,a,15,a(flip),b,7417,a)]. 7468 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(224,a,7428,a(flip),b,5360,a),flip(a)]. 7470 x * K(y,z) != u * z | x / T(z,y) = u. [para(7432(a,1),47(a,1))]. 7475 (x \ y) \ (y / T(T(x,x \ y),z)) = K(z,T(x,x \ y)). [para(249(a,1),7434(a,1,1))]. 7477 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(66,a,5402,a(flip),b,7448,a)]. 7479 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(7448(a,1),447(a,1,1))]. 7481 T(x,((y \ x) * y) \ 1) = (z * K(x \ 1,x)) \ (z * x). [para(6889(a,1),7458(a,1,1,2)),flip(a)]. 7485 T(x * K(y,x),z) \ T(x,z) != u | K(T(x,z),y) = u. [para(5595(a,1),7411(a,1,1))]. 7486 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5795(a,1),7411(a,1,1))]. 7487 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5798(a,1),7411(a,1,1))]. 7493 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6322(a,1),7422(a,1,1))]. 7495 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(7390(a,2),225(a,2))]. 7496 T(K(x,y) * z,K(x,y)) = z * K(x,y). [hyper(43,a,7342,a,b,7398,a)]. 7499 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(7398(a,1),383(a,1,2,1))]. 7500 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5334(a,2),7401(a,1,1))]. 7502 (((x \ y) \ y) * z) \ (x * z) = K(x \ y,T(x,z)). [para(117(a,1),7435(a,1,1,1))]. 7504 ((x * (y * T(y \ z,u))) / z) \ x = K(u,((x * y) / z) \ x). [para(1413(a,1),7436(a,1,1))]. 7505 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(7436(a,1),2570(a,2,1,2,1))]. 7507 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [hyper(285,a,112,a,b,7444,a),flip(a)]. 7508 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7444(a,1),4149(a,1,2))]. 7509 (x * K(y,x \ z)) \ z != u | T(x \ z,y) = u. [para(7447(a,1),307(a,1,1)),flip(b)]. 7511 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7496(a,1),28(a,1,1)),flip(a)]. 7512 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7496(a,2),225(a,2)),flip(a)]. 7513 x / T(K(y,z),x) = K(y,z) \ x. [hyper(38,a,4116,a,b,7500,a)]. 7514 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(180,a,7513,a)]. 7515 (K(x,y) * z) \ z = T(K(y,x),z). [para(5334(a,1),7514(a,1,1))]. 7516 x * ((K(y,z) * x) \ x) = K(z,y) * x. [hyper(124,a,7515,a,b,27,a(flip))]. 7518 (x * T(y / z,z)) * z = (x * (y / z)) * (y / (y / z)). [para(5129(a,2),7394(a,1,2)),flip(a)]. 7519 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(7394(a,1),5583(a,1,1))]. 7520 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(7395(a,1),7411(a,1,1))]. 7521 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5150(a,1),7418(a,1,2,1))]. 7522 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(17(a,1),7437(a,1,1,2,1)),flip(a)]. 7523 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5344(a,2),7468(a,1,1))]. 7526 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4153,a,7507,a)]. 7530 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(90(a,1),7438(a,2,1))]. 7531 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(66,a,6104,a(flip),b,7440,a),flip(a)]. 7532 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(124,a,6104,a(flip),b,7440,a(flip))]. 7533 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(185,a,7531,a)]. 7535 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6267(a,1),7531(a,1,1,2)),flip(a)]. 7536 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7531(a,1),7192(a,1,1)),flip(a)]. 7537 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(7532(a,1),304(a,1,2)),flip(b)]. 7539 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(7535(a,2),7411(a,1))]. 7540 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5764(a,1),7477(a,1,2))]. 7541 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7540(a,1),200(a,2,2))]. 7542 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(949(a,2),7425(a,2,2))]. 7543 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5446(a,1),7425(a,2,2))]. 7544 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(T(T(x,z),u),y) = w. [para(5595(a,1),7485(a,1,1,1))]. 7546 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7508(a,1),647(a,1))]. 7548 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(5490(a,1),7520(a,1))]. 7549 K((x * y) \ 1,x) != z | K(y \ (x \ 1),x) = z. [para(6662(a,1),7548(a,1))]. 7550 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5834(a,2),7549(a,1))]. 7551 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(7440(a,2),7537(a,1))]. 7552 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(176(a,1),7551(a,1,2,2))]. 7553 x / ((T(y,z) \ 1) * y) = x * (T(y,z) * (1 / y)). [hyper(66,a,5802,a(flip),b,7420,a)]. 7554 ((T(x,y) \ 1) * x) \ 1 = T(x,y) * (1 / x). [hyper(4701,a,7553,a)]. 7555 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = ((T(y,z) \ 1) * y) * ((T(y,z) * (1 / y)) * x). [para(7554(a,1),242(a,1,2,1)),flip(a)]. 7556 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5981(a,1),7431(a,1,1,2))]. 7557 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(185,a,7556,a)]. 7558 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(140,a,7556,a),flip(a)]. 7559 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(66,a,278,a,b,7556,a)]. 7560 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7556(a,1),297(a,1,2)),flip(b)]. 7561 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),7556(a,1,1))]. 7562 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7558(a,1),46(a,1)),flip(a)]. 7563 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7558(a,1),304(a,1,2)),flip(b)]. 7565 T(x,((y \ x) * y) \ 1) = T(x,x \ 1). [hyper(285,a,7458,a(flip),b,7481,a),flip(a)]. 7566 T(x,(y * (x / y)) \ 1) = T(x,x \ 1). [para(90(a,1),7565(a,1,2,1,1))]. 7567 (x * (y / z)) * (y / (y / z)) = (x * (z \ y)) * z. [para(118(a,1),7518(a,1,1,2)),flip(a)]. 7568 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(479,a,7519,a),flip(a)]. 7572 (((x * y) * T((x * y) \ (y * z),u)) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(1184(a,2),7504(a,1,1,1))]. 7573 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5335(a,1),7521(a,1,1,2))]. 7574 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5738(a,1),7573(a,2,2))]. 7575 R(x,K(y \ 1,z),y) = x. [hyper(5005,a,7574,a)]. 7576 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,7574,a)]. 7577 R(x,y,K(y \ 1,z)) = x. [hyper(6862,a,7575,a)]. 7579 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(7577(a,1),112(a,1,1)),flip(a)]. 7580 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(445,a,7579,a)]. 7581 a(x,y,K(y \ 1,z)) = 1. [hyper(56,a,7580,a)]. 7582 a(x,y \ 1,K(y,z)) = 1. [para(3341(a,1),7581(a,1,3))]. 7583 L(K(x,y),x \ 1,z) = K(x,y). [hyper(55,a,7582,a)]. 7584 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(66,a,5946,a(flip),b,7583,a)]. 7585 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [hyper(124,a,7584,a(flip),b,5125,a(flip)),flip(a)]. 7586 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(285,a,5130,a,b,7585,a),flip(a)]. 7587 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7415,a,7561,a)]. 7588 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7396(a,1),7427(a,2,2))]. 7589 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(7411,a,7439,a),flip(a)]. 7590 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(138,a,7588,a)]. 7591 ((x * (y * T(y \ (x \ (y * z)),u))) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(830(a,1),7572(a,1,1,1))]. 7592 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(116(a,1),7591(a,1,1,1,2))]. 7593 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((x * y) / z) \ y). [para(116(a,1),7592(a,2,2,1,1))]. 7594 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((y * x) / z) \ x). [para(4972(a,1),7593(a,1,1,1))]. 7595 K(x,((y * x) / z) \ x) = K(x,((x * y) / z) \ x). [hyper(66,a,7504,a(flip),b,7594,a),flip(a)]. 7596 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(66,a,5835,a(flip),b,7189,a),flip(a)]. 7598 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(66,a,5835,a(flip),b,7596,a),flip(a)]. 7600 (x * (y / x)) / (((x \ 1) * y) \ y) = ((x \ 1) * y) * K(x,x \ y). [para(6538(a,1),5401(a,1,2)),flip(a)]. 7601 (x * (y / x)) / (((x \ 1) * y) \ y) = y / R(x,x \ 1,y). [hyper(285,a,6765,a(flip),b,7600,a),flip(a)]. 7602 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),5411(a,1,2,1,2,2))]. 7603 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(66,a,2155,a(flip),b,7602,a)]. 7604 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(116(a,1),7603(a,1,1,2))]. 7605 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4940(a,1),7604(a,1,1))]. 7606 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(295,a,7605,a)]. 7608 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7606(a,1),6877(a,1,1))]. 7609 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(295,a,7608,a),flip(a)]. 7610 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6366,a,7609,a)]. 7612 x / T(y,T(y,z) \ x) = y \ x. [hyper(7470,a,7610,a)]. 7613 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(37,a,271,a,b,7610,a),flip(a)]. 7615 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(39,a,249,a,b,7612,a),flip(a)]. 7618 K((x / y) \ z,x / y) = K((y \ x) \ z,x / y). [para(118(a,1),7613(a,1,1,1)),flip(a)]. 7620 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7613(a,1),5869(a,1,1,1,2))]. 7623 T(x,x \ (T(x,y) * z)) = T(x,z). [para(14(a,1),7615(a,1,2)),flip(a)]. 7625 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7623(a,1),3979(a,1,2))]. 7626 T(x,K(x,y) * z) = T(x,z). [para(5514(a,1),7623(a,1,2))]. 7627 T(x,K(x,y) \ z) = T(x,z). [para(15(a,1),7626(a,1,2)),flip(a)]. 7628 T(x,K(y,x) * z) = T(x,z). [para(5360(a,1),7626(a,1,2)),flip(a)]. 7629 T(x,T(y,x) * z) = T(x,y * z). [para(5158(a,1),7626(a,1,2)),flip(a)]. 7630 T(x,T(x,y) * z) = T(x,x * z). [para(5219(a,1),7626(a,1,2))]. 7633 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7626(a,1),5595(a,1,1))]. 7634 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5854(a,1),7626(a,1,2)),flip(a)]. 7635 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5196(a,2),7627(a,1,2))]. 7637 T(x,K(y,x) * T(x,z)) = x. [hyper(285,a,170,a(flip),b,7628,a),flip(a)]. 7638 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7628(a,1),4524(a,1,3))]. 7639 T(x,y * T(z,x)) = T(x,y * z). [para(5832(a,1),7628(a,1,2))]. 7640 T(x,y \ T(z,x)) = T(x,y \ z). [para(5824(a,1),7628(a,1,2))]. 7642 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7629(a,1),853(a,1,1)),flip(a)]. 7643 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(66,a,4182,a,b,7635,a)]. 7644 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(118(a,1),7640(a,1,2,2)),flip(a)]. 7645 T(x / (x / y),z) \ x = x / T(y,z). [para(5073(a,2),7620(a,1,1,1))]. 7646 L(x,x \ y,x) \ y = y / T(x,y). [para(5097(a,1),7620(a,1,1))]. 7647 x / T(y,L(y,z,u) * (y \ x)) = L(y,y \ x,L(y,z,u)) \ x. [para(5394(a,1),7620(a,1,1)),flip(a)]. 7649 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(185,a,7645,a)]. 7651 T(x / (x / K(y,z)),x) = K(y,z). [hyper(42,a,7513,a(flip),b,7645,a),flip(a)]. 7653 x / T(y \ x,z) = T(x / y,z) \ x. [para(87(a,1),7645(a,1,1,1,2)),flip(a)]. 7654 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(181(a,1),7645(a,1,1,1)),flip(a)]. 7655 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(6942(a,1),7645(a,1,1,1)),flip(a)]. 7656 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7651(a,1),52(a,1)),flip(a)]. 7658 T(x / (x / y),x) = x / (T(x,y) / y). [para(4120(a,2),7649(a,1,2)),flip(a)]. 7660 T(x / y,z) \ x = y * K(z,y \ x). [hyper(7452,a,7653,a),flip(a)]. 7661 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(180,a,7653,a)]. 7662 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(122,a,7653,a(flip),b,7447,a(flip))]. 7664 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(117(a,2),7654(a,1,2,1))]. 7665 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(282(a,2),7654(a,1,2))]. 7666 x / T((y \ x) * y,z) = T((y \ x) * y,z) \ x. [para(5432(a,1),7654(a,1,2,1))]. 7667 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(66,a,4273,a(flip),b,7658,a)]. 7668 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(7667(a,2),4942(a,1,1,1,2))]. 7669 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(185,a,7660,a)]. 7671 L(K(x,(y \ 1) \ z),y \ 1,y) != u | y * (T(z / (y \ 1),x) \ z) = u. [para(7662(a,1),539(a,1,1))]. 7673 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [para(7664(a,1),7475(a,1,2))]. 7674 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(180,a,7665,a),flip(a)]. 7675 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(27(a,2),7669(a,1,2,2,2))]. 7676 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(66,a,7371,a(flip),b,7666,a),flip(a)]. 7677 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(16(a,1),7675(a,2,1))]. 7678 T(x,y) \ (x * z) = z * K(y,T(x,z)). [hyper(180,a,7677,a)]. 7679 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(5944,a,7678,a)]. 7680 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(5675,a,7678,a),flip(a)]. 7681 K(x,T(y,z)) = T(K(x,y),z). [hyper(5592,a,7678,a),flip(a)]. 7682 x * K(y,T(z,x)) = K(y,z) * x. [hyper(5591,a,7678,a),flip(a)]. 7683 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [hyper(66,a,4297,a,b,7678,a)]. 7684 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7678(a,1),5591(a,1))]. 7685 T(K(x * y,x),y) = K(x * y,x). [hyper(6122,a,7681,a),flip(a)]. 7686 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(285,a,7338,a,b,7681,a)]. 7687 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(285,a,6459,a,b,7681,a)]. 7688 K(x,T(y,y \ z)) = K(x,T(y,z)). [hyper(285,a,6439,a,b,7681,a)]. 7689 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(285,a,6425,a,b,7681,a)]. 7690 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(285,a,6108,a,b,7681,a)]. 7691 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(285,a,6080,a,b,7681,a)]. 7692 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(285,a,6007,a,b,7681,a),flip(a)]. 7693 K(x,T(y,K(x,z))) = K(x,y). [hyper(285,a,7345,a(flip),b,7681,a),flip(a)]. 7694 K(x / y,T(z,x)) = K(y \ x,z). [hyper(285,a,6460,a(flip),b,7681,a),flip(a)]. 7695 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(285,a,6441,a(flip),b,7681,a),flip(a)]. 7696 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(285,a,6440,a(flip),b,7681,a),flip(a)]. 7697 K(x,T(y / z,y)) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7681,a),flip(a)]. 7698 K(x,T(y,z * (x / z))) = K(x,y). [hyper(285,a,4930,a(flip),b,7681,a),flip(a)]. 7699 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(285,a,3371,a(flip),b,7681,a),flip(a)]. 7700 K(x,T(y,T(x,z))) = K(x,y). [hyper(285,a,3359,a(flip),b,7681,a),flip(a)]. 7701 K(x,T(y,K(z,x))) = K(x,y). [hyper(285,a,2227,a(flip),b,7681,a),flip(a)]. 7702 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(124,a,7681,a,b,7515,a)]. 7703 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(66,a,6439,a(flip),b,7681,a),flip(a)]. 7704 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(124,a,7681,a(flip),b,5125,a(flip))]. 7705 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(30(a,2),7681(a,1,2))]. 7707 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7681(a,2),582(a,1,2,2))]. 7708 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7681(a,2),6549(a,1))]. 7709 K(x,T(y,z)) * T(K(y,x),z) = 1. [para(7681(a,2),7325(a,1,1))]. 7710 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7681(a,2),7327(a,1,2))]. 7711 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7681(a,2),7340(a,2,1))]. 7712 T(R(K(x,y),z,u) \ 1,w) = R(K(x,T(y,w)),z,u) \ 1. [para(7681(a,2),7355(a,2,1,1))]. 7713 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7329(a,1,1))]. 7714 T(K(x,y),K(z,y) * T(y,u)) = K(x,y). [para(7637(a,1),7681(a,1,2)),flip(a)]. 7715 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7681(a,2),7681(a,1,2))]. 7716 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [hyper(124,a,7700,a(flip),b,5722,a),flip(a)]. 7717 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(118(a,1),7700(a,1,2)),flip(a)]. 7718 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7700(a,2),3193(a,1,2))]. 7720 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(118(a,1),7699(a,1,2)),flip(a)]. 7721 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7699(a,1),5890(a,1,2))]. 7723 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(7409,a,7682,a)]. 7724 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(37,a,3354,a,b,7682,a),flip(a)]. 7725 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(30(a,2),7682(a,1,2,2))]. 7726 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7682(a,1),46(a,1))]. 7727 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(3980(a,1),7682(a,1,2,2))]. 7728 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5617(a,1),7682(a,1,2,2))]. 7729 K(x * y,x) * y = y * K(x * y,x). [para(5765(a,1),7682(a,1,2)),flip(a)]. 7730 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(118(a,1),7724(a,1,2)),flip(a)]. 7731 K(x,T(y,(1 / (z / x)) * z)) = K(x,y). [para(507(a,1),7724(a,1,2,2))]. 7732 R(x,y,K(z,T(y,u))) = x. [para(7687(a,1),6521(a,1,3))]. 7733 R(x,y \ 1,K(z,T(y,u))) = x. [para(7687(a,1),7080(a,1,3))]. 7734 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7732(a,1),112(a,1,1)),flip(a)]. 7735 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5150(a,1),7733(a,1,3,2))]. 7736 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(124,a,7688,a(flip),b,7673,a)]. 7737 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4313(a,2),7688(a,1,2,2))]. 7738 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(66,a,617,a,b,7689,a)]. 7739 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(1240(a,1),7689(a,1,2,1))]. 7740 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(4286(a,1),7689(a,1,2)),flip(a)]. 7741 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7689(a,1),6634(a,1,1)),flip(a)]. 7742 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(7433(a,1),7689(a,1,2)),flip(a)]. 7743 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(66,a,7031,a,b,7694,a)]. 7744 K(x / y,x \ z) = K(y \ x,z / x). [para(118(a,1),7694(a,1,2))]. 7745 K(L(x,y,z) / u,T(x,w)) = K(u \ L(x,y,z),T(x,w)). [para(199(a,1),7694(a,1,2))]. 7746 T((x / y) \ 1,K(y \ x,z)) = (x / y) \ 1. [para(7694(a,1),1383(a,1,2))]. 7748 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7694(a,1),4072(a,1,3))]. 7750 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5566(a,1),7694(a,1,2))]. 7753 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7694(a,1),7031(a,1,1)),flip(a)]. 7754 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(490(a,1),7697(a,1,2))]. 7755 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(118(a,1),7698(a,1,2)),flip(a)]. 7756 x * K(T(y,x),z) = K(y,z) * x. [hyper(7409,a,7702,a)]. 7757 T(K(x,y),y) != z | K(x,y) = z. [para(7703(a,1),192(a,1))]. 7758 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6012,a,7704,a),flip(a)]. 7759 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7704(a,1),7333(a,1,2,2))]. 7760 K(T(x,y),z) = T(K(x,z),y). [hyper(5364,a,7709,a)]. 7761 K(T(x,y),z) = K(x,T(z,y)). [hyper(285,a,7681,a,b,7760,a),flip(a)]. 7762 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(285,a,6459,a,b,7760,a)]. 7763 K(T(x \ K(x,y),y),z) = K(x \ 1,z). [hyper(285,a,6741,a(flip),b,7760,a),flip(a)]. 7764 K(T(x,y),y / z) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7760,a),flip(a)]. 7765 x * K(T(y,x),z) = K(z,y) \ x. [hyper(124,a,7760,a,b,5449,a)]. 7767 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7760(a,1),5190(a,2,1)),flip(a)]. 7768 K(T(x * y,x),y) = K(x * y,y). [hyper(285,a,5784,a(flip),b,7761,a),flip(a)]. 7769 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(66,a,7399,a,b,7761,a)]. 7770 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(66,a,3346,a(flip),b,7761,a),flip(a)]. 7771 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(124,a,7761,a(flip),b,7434,a)]. 7772 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(32(a,2),7761(a,1,1))]. 7773 K(T(x,R(y,z,u)),y) = K(x,y). [para(168(a,1),7761(a,2,2))]. 7774 K(x / y,T(z,y)) = K(y \ x,z). [para(118(a,1),7761(a,1,1)),flip(a)]. 7775 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(191(a,1),7761(a,1,1)),flip(a)]. 7776 K((x * y) / x,T(z,x)) = K(y,z). [para(208(a,1),7761(a,1,1)),flip(a)]. 7777 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(197(a,1),7761(a,1,1)),flip(a)]. 7778 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1383(a,1),7761(a,1,1)),flip(a)]. 7779 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7761(a,1),5190(a,2,1)),flip(a)]. 7781 R(x,y,K(T(y,z),u)) = x. [para(7761(a,2),6353(a,1,3))]. 7782 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7761(a,1),7409(a,1,2))]. 7783 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7761(a,1),7411(a,1,1,2))]. 7784 (x * K(y,T(x \ z,u))) \ z = T(x \ z,T(y,u)). [para(7761(a,1),7461(a,1,1,2))]. 7785 (x * K(y,T(x \ z,u))) \ z != w | T(x \ z,T(y,u)) = w. [para(7761(a,1),7509(a,1,1,2))]. 7786 R(x,(y * z) / y,K(z,u)) = x. [para(208(a,1),7781(a,1,3,1))]. 7788 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7786(a,1),463(a,1,1))]. 7789 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2102,a,7756,a),flip(a)]. 7790 K(x / y,z) * y = y * K(y \ x,z). [para(118(a,1),7756(a,1,2,1)),flip(a)]. 7792 K(T(x,x \ y),z) = K(T(x,y),z). [para(117(a,2),7762(a,1,1))]. 7793 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7762(a,1,1,1)),flip(a)]. 7794 K(T(x,y * x),z) = K(T(x,y),z). [para(4140(a,2),7762(a,1,1)),flip(a)]. 7795 K(T(x \ 1,x * y),z) = K(T(x \ 1,y),z). [para(4285(a,2),7762(a,1,1))]. 7796 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7762(a,1),6661(a,1,1)),flip(a)]. 7797 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7433(a,1),7762(a,1,1)),flip(a)]. 7798 K(T(T(x / y,z),x),u) = K(T(y \ x,z),u). [para(7661(a,1),7762(a,1,1)),flip(a)]. 7799 K(T(T(x,y),x \ z),u) = K(T(T(x,y),z),u). [para(7674(a,2),7762(a,1,1))]. 7800 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(197(a,1),7764(a,1,1))]. 7801 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(198(a,1),7764(a,1,1))]. 7802 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6557,a,7774,a)]. 7803 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(66,a,5836,a(flip),b,7774,a),flip(a)]. 7804 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(169(a,1),7774(a,1,2))]. 7806 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7775(a,1),5190(a,2,1))]. 7807 R(x,T(y,z),K(u,y)) = x. [para(7776(a,1),6521(a,1,3))]. 7808 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(4836,a,7807,a),flip(a)]. 7809 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(66,a,7414,a(flip),b,7807,a),flip(a)]. 7810 R(x,y \ K(y,z),K(u,y)) = x. [para(5359(a,1),7735(a,1,2))]. 7811 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(66,a,7455,a(flip),b,7810,a)]. 7812 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(118(a,1),7777(a,1,2)),flip(a)]. 7813 K(((x / y) * x) \ (y * (x / y)),z) = K((y \ x) \ 1,T(z,x)). [hyper(66,a,6488,a,b,7691,a)]. 7814 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(169(a,1),7691(a,1,1,1)),flip(a)]. 7815 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(66,a,7335,a(flip),b,7710,a)]. 7816 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(66,a,7353,a,b,7815,a)]. 7817 R(x,y * z,K(y,K(z,u))) = x. [para(7816(a,1),6353(a,1,3))]. 7818 R(x,y * z,K(y,K(z,u))) != w | x = w. [para(7817(a,1),54(a,2))]. 7819 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6712(a,1),7729(a,1,1)),flip(a)]. 7820 K(x,T(y,((z / x) \ 1) * z)) = K(x,y). [para(4813(a,1),7731(a,1,2))]. 7821 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(7736(a,1),7417(a,1,1))]. 7823 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7769(a,1),7411(a,1))]. 7824 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7778(a,1),5177(a,1,2)),flip(a)]. 7825 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5744,a,7779,a)]. 7828 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(285,a,7691,a,b,7803,a)]. 7829 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(285,a,5190,a,b,7806,a),flip(a)]. 7830 T(x,T(y,T(x,z))) = T(x,y). [para(115(a,1),7829(a,1,2,2,1))]. 7832 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5150(a,1),7829(a,1,2,2,1))]. 7833 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(230(a,1),7830(a,1,2,2))]. 7834 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5150(a,1),7830(a,1,2,2))]. 7835 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7830(a,1),5723(a,1,1)),flip(a)]. 7837 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7681(a,2),7825(a,1,2,2))]. 7838 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(66,a,6467,a(flip),b,7828,a)]. 7839 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7838(a,1),5302(a,2,2,2)),flip(a)]. 7842 K(x,(((y / x) \ 1) * y) / z) != u | K(x,z \ (((y / x) \ 1) * y)) = u. [para(7820(a,1),7708(a,1))]. 7843 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4184(a,1),7683(a,1,2,1))]. 7844 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(66,a,7117,a(flip),b,7730,a),flip(a)]. 7845 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(3090(a,1),7844(a,1,2,1))]. 7846 K(L(x,y,y \ 1) \ z,x) = u / (K(x,x \ z) * u). [para(7845(a,1),5448(a,1,2,1)),flip(a)]. 7847 K(x,T((y * z) \ 1,z \ 1)) = K(x,T((y * z) \ 1,y)). [para(6594(a,1),7740(a,1,2))]. 7848 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6560(a,2),7759(a,1,2))]. 7849 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(118(a,1),7771(a,1,2,2))]. 7850 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7808(a,1),3024(a,2,2))]. 7852 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5130(a,2),7811(a,1,1))]. 7853 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(180,a,7852,a(flip))]. 7854 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5318(a,1),7853(a,2,2))]. 7855 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7833(a,1),28(a,1,1)),flip(a)]. 7856 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(66,a,6917,a(flip),b,7834,a)]. 7857 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [hyper(124,a,7834,a(flip),b,27,a(flip))]. 7858 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5208,a,7848,a)]. 7859 K(x,K(y,z)) = K(z,K(y,x)). [hyper(66,a,7816,a(flip),b,7858,a)]. 7860 K(K(x,y),z) = K(x,K(y,z)). [hyper(7334,a,7859,a)]. 7861 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(285,a,7858,a(flip),b,7859,a),flip(a)]. 7862 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(124,a,7859,a,b,5125,a(flip))]. 7863 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [hyper(124,a,7859,a,b,21,a(flip))]. 7864 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7859(a,1),5142(a,2,1)),flip(a)]. 7865 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7859(a,1),5162(a,1,1))]. 7867 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(7859(a,1),7337(a,1,1))]. 7868 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7859(a,1),7338(a,1,1))]. 7869 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7859(a,1),7340(a,1,1))]. 7870 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(285,a,5973,a(flip),b,7860,a),flip(a)]. 7871 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [hyper(124,a,7860,a(flip),b,6358,a)]. 7872 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(124,a,7860,a(flip),b,5125,a(flip))]. 7873 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7860(a,1),5180(a,1,2))]. 7875 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(7860(a,1),5525(a,1,1,1))]. 7876 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7860(a,1),5983(a,2,1))]. 7877 (x * (y / K(z,u))) / (K(z,u) \ y) = x * K(z,K(u,K(z,u) \ y)). [para(7860(a,1),6578(a,2,2))]. 7878 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(93(a,1),7861(a,1,2,2))]. 7879 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6626(a,1),7861(a,1,2))]. 7881 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7339,a,7867,a)]. 7882 K(K(x,y),z) = K(y,K(z,x)). [hyper(5364,a,7867,a)]. 7883 K(K(x,y),z) = K(y,K(x,z)). [hyper(285,a,7860,a,b,7881,a)]. 7884 K(x,K(y,z)) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7881,a),flip(a)]. 7885 L(K(x \ 1,K(y,z)),u,w) = K(y,K(L(x,u,w) \ 1,z)). [hyper(285,a,5977,a,b,7881,a)]. 7886 K(x,K(y,x \ y)) = 1. [hyper(285,a,5624,a(flip),b,7881,a),flip(a)]. 7888 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(124,a,7881,a,b,5125,a(flip))]. 7889 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7881(a,1),5190(a,2,1)),flip(a)]. 7891 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7881(a,1),5259(a,1,1))]. 7892 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7881(a,1),5152(a,1,2,1))]. 7893 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(7881(a,1),5525(a,1,1,1))]. 7894 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(7881(a,1),5542(a,2,2))]. 7895 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(7881(a,1),5537(a,1,1,1))]. 7896 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7881(a,1),6375(a,1,2))]. 7897 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6626(a,2),7881(a,1,2))]. 7898 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(7881(a,1),6899(a,1,3))]. 7900 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(7881(a,1),7686(a,1,1))]. 7901 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7881(a,1),7862(a,1,2))]. 7902 T(x,K(y,x \ y)) = x. [hyper(59,a,7886,a)]. 7903 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(7902(a,1),5178(a,1,2,1)),flip(a)]. 7906 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [hyper(124,a,7882,a(flip),b,5125,a(flip))]. 7907 K(K(x,y),z) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7883,a),flip(a)]. 7908 K(x,K(y,z)) = K(x,K(z,y)). [hyper(66,a,7882,a(flip),b,7883,a)]. 7909 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7883(a,1),5146(a,1,1))]. 7910 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5973(a,1),7883(a,1,1)),flip(a)]. 7911 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5981(a,1),7883(a,1,1)),flip(a)]. 7912 x * K(K(y,z),x) = T(x,K(y,z)). [para(7883(a,2),7862(a,1,2))]. 7913 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [hyper(124,a,7884,a,b,6466,a),flip(a)]. 7914 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [hyper(124,a,7884,a,b,6358,a)]. 7915 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [hyper(124,a,7884,a,b,6574,a(flip)),flip(a)]. 7916 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [hyper(124,a,7884,a,b,21,a(flip))]. 7917 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7884(a,2),5190(a,2,1)),flip(a)]. 7918 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7884(a,2),5259(a,1,1))]. 7919 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7884(a,2),5219(a,1,1))]. 7920 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(7884(a,1),5525(a,1,1,1))]. 7921 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5826(a,1),7884(a,1,2)),flip(a)]. 7922 L(K(x,y) * K(x,K(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). [para(7884(a,2),5392(a,1,1,2))]. 7923 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7884(a,2),5909(a,1,1))]. 7924 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7761(a,1),7884(a,1,2))]. 7925 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7884(a,1),7867(a,1,1))]. 7926 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7907(a,1),5545(a,1,1))]. 7927 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7907(a,1),5452(a,1,1))]. 7929 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(285,a,7861,a,b,7908,a)]. 7930 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7908(a,1),5190(a,2,1)),flip(a)]. 7931 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(5981(a,1),7908(a,1,2)),flip(a)]. 7932 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6125(a,1),7908(a,1,2)),flip(a)]. 7933 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7761(a,1),7908(a,1,2))]. 7934 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7774(a,2),7908(a,1,2))]. 7935 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(285,a,7881,a,b,7879,a),flip(a)]. 7936 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(15(a,1),7879(a,1,2,2)),flip(a)]. 7937 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7879(a,1),7686(a,1,1))]. 7939 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(935(a,1),7889(a,1,1,2)),flip(a)]. 7940 T(x,K(y,z)) = T(x,K(z,y)). [hyper(66,a,7862,a(flip),b,7901,a)]. 7941 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5668,a,7940,a)]. 7942 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(285,a,7401,a,b,7940,a)]. 7943 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(285,a,7496,a(flip),b,7940,a),flip(a)]. 7944 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(285,a,7441,a(flip),b,7940,a),flip(a)]. 7945 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7940(a,1),7343(a,1,1))]. 7946 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(7912(a,1),6752(a,1,2))]. 7947 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7912(a,1),7568(a,1,3)),flip(a)]. 7948 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(285,a,7523,a,b,7917,a),flip(a)]. 7950 K(x,K(y,x * y)) = 1. [hyper(285,a,3352,a(flip),b,7929,a),flip(a)]. 7951 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(285,a,4401,a,b,7950,a),flip(a)]. 7952 T(x,K(y,x * y)) = x. [hyper(59,a,7950,a)]. 7953 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7930(a,1),5259(a,1))]. 7954 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(66,a,7881,a,b,7935,a)]. 7955 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(285,a,7884,a,b,7936,a),flip(a)]. 7956 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(124,a,7936,a(flip),b,5125,a(flip)),flip(a)]. 7957 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(7936(a,1),7686(a,1,1))]. 7958 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(66,a,7884,a,b,7955,a)]. 7960 K(x,K(x * y,z)) = K(x,K(y,z)). [para(14(a,1),7958(a,1,2,1)),flip(a)]. 7961 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5319(a,1),7958(a,2,2))]. 7962 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(66,a,7859,a,b,7960,a)]. 7963 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(66,a,7881,a,b,7951,a)]. 7964 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(7963(a,2),5603(a,2,2))]. 7967 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7693(a,1),7868(a,1,1,2)),flip(a)]. 7968 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(285,a,7681,a,b,7872,a),flip(a)]. 7971 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7761(a,1),7906(a,1,2,2))]. 7973 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(66,a,7881,a,b,7924,a)]. 7974 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(66,a,7958,a(flip),b,7924,a),flip(a)]. 7975 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(7933(a,1),7868(a,1,1))]. 7976 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(6394(a,1),7941(a,1,2))]. 7977 (x * K(y,z)) / x = T(K(y,z),x). [hyper(224,a,7945,a(flip),b,3955,a(flip)),flip(a)]. 7978 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7523(a,2),7945(a,1,1))]. 7979 T(K(x,y),z) * z = z * K(x,y). [hyper(136,a,7977,a)]. 7980 T(T(K(x,y),z),z) = K(x,y). [para(7977(a,1),208(a,1,1))]. 7981 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7977(a,1),588(a,1,1,1))]. 7982 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7977(a,1),594(a,1,1,1))]. 7984 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6742,a,7980,a),flip(a)]. 7985 T(K(x,y \ z),z) = K(x,z / y). [hyper(43,a,6406,a,b,7980,a),flip(a)]. 7986 T(K(x,T(y,z)),z) = K(x,y). [hyper(43,a,7681,a(flip),b,7980,a),flip(a)]. 7987 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(7980(a,1),52(a,1)),flip(a)]. 7988 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7980(a,1),257(a,1,2,2,1))]. 7989 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7656,a,7986,a)]. 7990 K(T(x,y),T(z,y)) = K(x,z). [hyper(66,a,7760,a,b,7986,a)]. 7991 K(x,T(T(y,z),z)) = K(x,y). [hyper(66,a,7681,a,b,7986,a)]. 7994 K(x \ y,T(z,y)) = K(y / x,z). [hyper(66,a,6460,a(flip),b,7986,a)]. 7995 K(x,T(y \ z,z)) = K(x,z / y). [hyper(43,a,6406,a,b,7986,a),flip(a)]. 7996 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(43,a,5150,a,b,7986,a)]. 7997 K(x,T(y,z)) * z = z * K(x,y). [hyper(124,a,7986,a(flip),b,27,a(flip)),flip(a)]. 7998 T(K(x,y \ z),y) = K(x,z / y). [para(118(a,1),7986(a,1,1,2))]. 7999 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7986(a,1),227(a,1,2))]. 8000 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7986(a,1),223(a,1,2,1)),flip(a)]. 8001 T(K(x \ y,z),x) = K(y / x,z). [para(7774(a,1),7986(a,1,1))]. 8002 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7986(a,1),7767(a,1,1)),flip(a)]. 8003 K(T(x,y),z \ y) = K(x,y / z). [hyper(7708,a,7990,a)]. 8004 x * K(T(x,y),T(z,y)) = T(x,z). [hyper(124,a,7990,a,b,5125,a(flip))]. 8006 K(x,T(y,z)) \ z = z * K(y,x). [hyper(124,a,7990,a(flip),b,7679,a),flip(a)]. 8007 K(T(T(x,y),z),T(u,y)) = K(T(x,z),u). [para(28(a,1),7990(a,1,1))]. 8008 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(28(a,1),7990(a,1,2))]. 8009 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(30(a,2),7990(a,1,1))]. 8010 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(30(a,2),7990(a,1,2))]. 8011 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(32(a,2),7990(a,1,1))]. 8012 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(32(a,2),7990(a,1,2))]. 8013 K(x \ y,T(z,x)) = K(y / x,z). [para(118(a,1),7990(a,1,1))]. 8014 K(T(x,y),y \ z) = K(x,z / y). [para(118(a,1),7990(a,1,2))]. 8015 K((x * y) / x,z) = K(y,T(z,x)). [para(208(a,1),7990(a,1,1)),flip(a)]. 8016 K(x,(y * z) / y) = K(T(x,y),z). [para(208(a,1),7990(a,1,2)),flip(a)]. 8017 K(x / (x / y),z) = K(y,T(z,x / y)). [para(230(a,1),7990(a,1,1)),flip(a)]. 8018 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(231(a,1),7990(a,1,1))]. 8019 K(R(x \ y,z,u),T(w,x)) = K(R(y / x,z,u),w). [para(233(a,1),7990(a,1,1))]. 8020 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(713(a,2),7990(a,1,2)),flip(a)]. 8021 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(981(a,1),7990(a,1,2))]. 8022 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(1225(a,1),7990(a,1,1)),flip(a)]. 8023 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3991(a,1),7990(a,1,1))]. 8024 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4200(a,1),7990(a,1,2))]. 8025 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(4114(a,1),7990(a,1,2)),flip(a)]. 8026 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4202(a,1),7990(a,1,1)),flip(a)]. 8027 K(x * K(y,x),z) = K(x,T(z,y)). [para(5150(a,1),7990(a,1,1)),flip(a)]. 8028 K(x,y * K(z,y)) = K(T(x,z),y). [para(5150(a,1),7990(a,1,2)),flip(a)]. 8029 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5240(a,1),7990(a,1,1)),flip(a)]. 8030 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5240(a,1),7990(a,1,2)),flip(a)]. 8031 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7990(a,1),5594(a,1,1)),flip(a)]. 8032 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(7990(a,1),5721(a,1,1,1,2))]. 8033 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),6261(a,1,1))]. 8034 R(x,K(y,z),T(y,u)) = x. [para(7990(a,1),6312(a,1,2))]. 8035 K(T(x,y),z) * y = y * K(x,z). [para(7990(a,1),7682(a,1,2)),flip(a)]. 8037 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(8034(a,1),5759(a,1,1)),flip(a)]. 8038 K(x,T(y \ z,y)) = K(x,z / y). [para(118(a,1),7991(a,1,2,1))]. 8040 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(757(a,2),7991(a,1,2))]. 8041 K(x,y \ z) * z = z * K(x,z / y). [para(6406(a,1),7979(a,1,1))]. 8044 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(7985(a,2),6100(a,1,1))]. 8045 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(66,a,7695,a(flip),b,7994,a)]. 8046 K(x / (x / y),z) = K(y,T(z,x)). [hyper(66,a,626,a(flip),b,7994,a),flip(a)]. 8048 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7626(a,1),7994(a,1,2))]. 8049 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7994(a,1),7708(a,1))]. 8051 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5630,a,7997,a)]. 8052 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(123,a,7997,a(flip),b,5153,a)]. 8053 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7997(a,1),589(a,1,2,1)),flip(a)]. 8054 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7997(a,1),5537(a,1,1))]. 8055 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7997(a,1),5463(a,1,1,3)),flip(a)]. 8056 T(x,y * K(x,z)) = T(x,y). [para(7997(a,1),7626(a,1,2))]. 8058 K(x,y * K(x,z)) = x \ T(x,y). [hyper(122,a,8056,a(flip),b,5130,a(flip)),flip(a)]. 8061 T(x,y * T(x,z)) = T(x,y * x). [para(6322(a,1),8056(a,1,2))]. 8062 T(x,y * K(z,x)) = T(x,y). [para(7392(a,1),8056(a,1,2)),flip(a)]. 8063 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(8062(a,1),4932(a,2,1,2))]. 8064 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8062(a,1),5178(a,1,2,1)),flip(a)]. 8065 T(K(x,y \ z),z) = T(K(x,y \ z),y). [hyper(285,a,7985,a,b,7998,a)]. 8067 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(285,a,5830,a,b,8001,a),flip(a)]. 8069 K(x / y,y / z) != u | K(y \ x,z \ y) = u. [para(8001(a,1),6549(a,1))]. 8071 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8001(a,1),7704(a,1,2))]. 8073 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),(x \ z) / u). [hyper(66,a,7799,a(flip),b,8003,a)]. 8074 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(66,a,7795,a(flip),b,8003,a)]. 8075 K(T(x,y),z \ (x \ y)) = K(x,(x \ y) / z). [hyper(66,a,7792,a(flip),b,8003,a)]. 8076 K(x,y / (y / z)) = K(T(x,y),z). [para(90(a,1),8003(a,1,2)),flip(a)]. 8077 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(7215(a,1),8003(a,1,1))]. 8078 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(208(a,1),8004(a,1,2,1))]. 8079 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5252(a,1),8004(a,1,2,2)),flip(a)]. 8080 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(138,a,8006,a)]. 8082 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(66,a,7742,a(flip),b,8013,a),flip(a)]. 8083 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(19(a,2),8013(a,1,1)),flip(a)]. 8084 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(28(a,1),8013(a,1,2))]. 8085 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4200(a,1),8013(a,1,2)),flip(a)]. 8086 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7630(a,1),8013(a,1,2))]. 8087 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8056(a,1),8013(a,1,2))]. 8088 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(66,a,7792,a(flip),b,8014,a)]. 8089 K(L(T(x,y),z,u),y \ w) = K(L(x,z,u),w / y). [para(30(a,2),8014(a,1,1))]. 8090 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [para(32(a,2),8014(a,1,1))]. 8092 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4118(a,1),8014(a,1,1))]. 8093 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8062(a,1),8014(a,1,1))]. 8094 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(66,a,5805,a,b,8015,a)]. 8095 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(66,a,5803,a,b,8015,a)]. 8096 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [hyper(66,a,6628,a(flip),b,8015,a)]. 8097 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(745(a,1),8015(a,1,1))]. 8098 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3965(a,1),8015(a,1,1))]. 8099 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3994(a,1),8015(a,1,1))]. 8100 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(5388(a,2),8015(a,1,1))]. 8101 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8015(a,1),5953(a,1,1))]. 8102 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(66,a,5424,a,b,8016,a)]. 8103 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(783(a,2),8016(a,1,2))]. 8104 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(8016(a,1),5226(a,1,2))]. 8105 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6516,a,b,8027,a)]. 8106 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(66,a,5606,a,b,8027,a)]. 8107 T(K(x * K(y,x),z \ 1),u) = K(x,T(T(z,u) \ 1,y)). [hyper(66,a,6007,a(flip),b,8027,a)]. 8108 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8027(a,1),5721(a,1,1,1,2)),flip(a)]. 8109 K(T(x,y),T(z,y * L(x,u,w))) = K(R(x,y,L(x,u,w)),z). [para(6829(a,1),8027(a,1,1)),flip(a)]. 8110 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7098(a,1),8027(a,1,1)),flip(a)]. 8111 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7761(a,1),8027(a,1,1,2))]. 8112 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7773(a,1),8027(a,1,1,2)),flip(a)]. 8114 L(K(x \ 1,y * K(z,y)),u,w) = K(T(L(x,u,w) \ 1,z),y). [hyper(66,a,5977,a,b,8028,a)]. 8115 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5085(a,2),8028(a,1,2,2))]. 8116 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5785(a,2),8028(a,1,2,2))]. 8117 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8028(a,1),5793(a,1,2,2)),flip(a)]. 8118 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5838(a,2),8028(a,1,2,2))]. 8119 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8028(a,1),5746(a,1,2,1))]. 8120 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7797(a,1),8035(a,1,1))]. 8122 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(28(a,1),8046(a,2,2))]. 8123 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8046(a,1),7031(a,1,1)),flip(a)]. 8124 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7649(a,1),8046(a,1,1))]. 8125 K(x,y * K(x,z)) = K(x,y). [hyper(285,a,5125,a,b,8058,a),flip(a)]. 8126 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8058(a,2),5208(a,1))]. 8128 K(x,y * T(x,z)) = K(x,y * x). [para(6322(a,1),8125(a,1,2))]. 8130 K(x \ y,z * (y / x)) = K(x \ y,z * (x \ y)). [para(6585(a,1),8125(a,1,2)),flip(a)]. 8131 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6587(a,1),8125(a,1,2)),flip(a)]. 8133 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8125(a,1),6328(a,1,1)),flip(a)]. 8134 K(x,y * K(z,x)) = K(x,y). [para(7392(a,1),8125(a,1,2)),flip(a)]. 8135 K(x,y / K(z,x)) = K(x,y). [para(7396(a,2),8125(a,1,2))]. 8136 K(x,y * T(z,x)) = K(x,y * z). [para(7402(a,1),8125(a,1,2)),flip(a)]. 8137 K(x,K(y,x) \ z) = K(x,z). [para(7680(a,1),8125(a,1,2))]. 8138 K(x,K(x,y) * z) = K(x,z). [para(7682(a,1),8125(a,1,2))]. 8139 K(x,T(y,x) \ z) = K(x,y \ z). [para(7736(a,1),8125(a,1,2))]. 8140 K(x * K(y,z),z) = 1 / K(z,x). [para(8134(a,1),5344(a,1,2)),flip(a)]. 8141 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(8134(a,1),5387(a,1,1,2))]. 8142 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(8134(a,1),6105(a,1,1))]. 8143 K(x,y \ T(z,x)) = K(x,y \ z). [para(5818(a,1),8134(a,1,2))]. 8146 K(x,K(x,y) \ z) = K(x,z). [para(7765(a,1),8134(a,1,2))]. 8147 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(66,a,5707,a(flip),b,8135,a),flip(a)]. 8148 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(5981(a,1),8135(a,1,2,2))]. 8149 K(x,T(x,y) * z) = K(x,x * z). [para(5534(a,1),8137(a,1,2))]. 8150 K(x,T(x,y) \ z) = K(x,x \ z). [para(5585(a,1),8137(a,1,2)),flip(a)]. 8151 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8137(a,1),7872(a,1,2,2)),flip(a)]. 8152 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(8138(a,1),3185(a,1,2))]. 8153 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(5517(a,2),8138(a,1,2))]. 8154 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5854(a,1),8138(a,1,2)),flip(a)]. 8155 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6094(a,1),8138(a,1,2,1))]. 8156 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(8138(a,1),7860(a,1,1)),flip(a)]. 8157 K(x,K(x,y) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,8146,a),flip(a)]. 8159 T(x,y * T(x,z)) = T(x,x * y). [hyper(285,a,4182,a(flip),b,8061,a),flip(a)]. 8160 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(8061(a,1),7639(a,1,2,2))]. 8161 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(8061(a,1),7994(a,1,2))]. 8162 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(118(a,1),8128(a,1,2,2)),flip(a)]. 8163 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(8128(a,1),7889(a,1,1,2)),flip(a)]. 8164 K(x,(x \ T(y * x,x \ 1)) \ z) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(2172(a,1),8139(a,1,2,1))]. 8165 K(x * K(y,z),z) = K(x,z). [hyper(285,a,5344,a(flip),b,8140,a),flip(a)]. 8167 K(x * T(y,z),z) = K(x * y,z). [para(1270(a,1),8165(a,1,1))]. 8170 K(x \ T(y,z),z) = K(x \ y,z). [para(5818(a,1),8165(a,1,1))]. 8172 K(x / (y / z),z) = K(x / (z \ y),z). [para(6533(a,1),8165(a,1,1))]. 8173 K(x * K(y,z),y) = K(x,y). [para(7392(a,1),8165(a,1,1)),flip(a)]. 8174 K(x * T(y,z),y) = K(x * y,y). [para(7402(a,1),8165(a,1,1)),flip(a)]. 8175 K(x * K(y,T(z,u)),z) = K(x,z). [para(7687(a,1),8165(a,1,1,2))]. 8176 K(K(x,y) * z,x) = K(z,x). [para(7723(a,1),8165(a,1,1)),flip(a)]. 8177 K(K(x,y) * z,y) = K(z,y). [para(7756(a,1),8165(a,1,1))]. 8178 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7764(a,1),8165(a,1,1,2))]. 8179 K(K(x,y) \ z,x) = K(z,x). [para(7765(a,1),8165(a,1,1))]. 8180 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5949(a,1),8173(a,1,1,2))]. 8183 K((x / y) * z,y) = K((y \ x) * z,y). [para(6565(a,1),8173(a,1,1))]. 8185 K(T(x,y) * z,x) = K(x * z,x). [para(5219(a,1),8176(a,1,1))]. 8186 K(((x * y) / x) \ z,y) = K(y \ z,y). [para(5517(a,2),8176(a,1,1))]. 8187 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(5854(a,1),8176(a,1,1)),flip(a)]. 8188 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6094(a,1),8176(a,1,1,1))]. 8189 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6254(a,1),8176(a,1,1)),flip(a)]. 8190 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8176(a,1),6374(a,1,1))]. 8192 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7776(a,1),8177(a,1,1,1))]. 8194 K(x,y / T(x,z)) = K(x,x \ y). [hyper(66,a,7717,a,b,8150,a)]. 8195 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(118(a,1),8150(a,1,2,1)),flip(a)]. 8196 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(8150(a,2),7936(a,1,2))]. 8198 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6764(a,1),8167(a,1,1)),flip(a)]. 8199 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(27(a,1),8170(a,1,1,2))]. 8200 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(118(a,1),8170(a,1,1,2)),flip(a)]. 8202 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6320(a,1),8175(a,1,1))]. 8203 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [hyper(124,a,8185,a(flip),b,5125,a(flip))]. 8206 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(8194(a,1),5550(a,2,1))]. 8209 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(7888(a,1),8126(a,1,2))]. 8210 K(x,y * (z * K(u,x))) = K(x,y * z). [para(178(a,1),8148(a,1,2)),flip(a)]. 8211 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(112(a,1),8155(a,1,2))]. 8212 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7014(a,1),8155(a,1,2,1))]. 8215 K(x * (y * K(z,u)),u) = K(x * y,u). [para(7558(a,1),8180(a,1,1)),flip(a)]. 8216 K((K(x,y) * z) * u,x) = K(z * u,x). [para(112(a,1),8188(a,1,1))]. 8217 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7990(a,1),8188(a,1,1,1,1))]. 8221 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(7681(a,1),8209(a,1))]. 8222 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5146(a,1),8212(a,1,2))]. 8223 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5516(a,1),8212(a,1,2)),flip(a)]. 8224 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5854(a,1),8212(a,1,2)),flip(a)]. 8225 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7940(a,1),8221(a,1))]. 8226 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(285,a,5130,a,b,7956,a),flip(a)]. 8227 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7956(a,2),5180(a,1))]. 8228 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(66,a,6590,a(flip),b,8226,a)]. 8229 T(x,K(y,y * z)) = T(x,K(y,z)). [para(14(a,1),8226(a,1,2,2)),flip(a)]. 8230 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8225,a,8229,a),flip(a)]. 8231 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(285,a,2227,a(flip),b,8229,a),flip(a)]. 8232 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(66,a,7943,a(flip),b,8229,a),flip(a)]. 8233 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(57,a,8231,a)]. 8234 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7968(a,1),46(a,1))]. 8235 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(285,a,7958,a(flip),b,7973,a),flip(a)]. 8236 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(66,a,6080,a,b,7984,a)]. 8237 K((x \ y) \ K(x \ y,z),u) = T(K(y \ x,u),z). [para(6468(a,1),7984(a,1,1)),flip(a)]. 8238 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7996(a,1),5392(a,1,1)),flip(a)]. 8239 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7962(a,1),7996(a,1,2))]. 8240 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(285,a,5743,a,b,8002,a),flip(a)]. 8241 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8002(a,2),5744(a,1))]. 8243 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(66,a,8046,a(flip),b,8017,a),flip(a)]. 8244 K(x,T(y,z * x)) = K(x,T(y,z)). [para(16(a,1),8243(a,1,2,2)),flip(a)]. 8245 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(177(a,1),8243(a,1,2,2)),flip(a)]. 8246 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4301(a,1),8243(a,1,2))]. 8247 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4303(a,1),8243(a,1,2))]. 8248 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(8243(a,1),7924(a,2,2))]. 8249 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(8244(a,1),7682(a,1,2))]. 8250 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8244(a,1),7997(a,1,1))]. 8251 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(285,a,8076,a(flip),b,8024,a),flip(a)]. 8254 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(27(a,2),8067(a,1,1,1)),flip(a)]. 8256 (((x * y) / x) \ z) * K(y,y \ z) = (y * (((x * y) / x) \ z)) / y. [hyper(124,a,8153,a(flip),b,5167,a(flip))]. 8258 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(285,a,7860,a(flip),b,8156,a),flip(a)]. 8259 K(x \ (y * L(x,z,u)),x) = K((x \ y) * L(x,z,u),x). [hyper(66,a,5330,a,b,8183,a)]. 8260 (((x * y) / x) \ z) \ K(y \ z,y) = ((y * (((x * y) / x) \ z)) / y) \ 1. [hyper(122,a,8186,a(flip),b,5412,a(flip))]. 8262 K(x * ((y * z) / y),z) = K(x * z,z). [para(5192(a,2),8189(a,1,1,2))]. 8263 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5360(a,1),8189(a,1,1,2)),flip(a)]. 8264 K((x / (x / y)) * z,y) = K(y * z,y). [para(5098(a,2),8189(a,1,1))]. 8265 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5709(a,1),8189(a,1,1,2))]. 8266 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5824(a,1),8189(a,1,1,2))]. 8267 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(66,a,7218,a(flip),b,8192,a)]. 8268 (K(x,y) * z) * K(z,T(y,u)) = T(K(x,y) * z,T(y,u)). [hyper(124,a,8192,a(flip),b,5125,a(flip))]. 8269 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5158(a,1),8192(a,1,1)),flip(a)]. 8270 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5516(a,1),8192(a,1,1)),flip(a)]. 8271 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8200(a,1),5803(a,1,1,1,2))]. 8272 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8202(a,1),5720(a,1,1,2))]. 8273 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(1283(a,1),8210(a,1,2,2))]. 8274 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5981(a,1),8210(a,1,2,2,2))]. 8275 K(x,y * (z * K(x,u))) = K(x,y * z). [para(7392(a,1),8210(a,1,2,2)),flip(a)]. 8276 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7723(a,1),8210(a,1,2,2)),flip(a)]. 8277 K(x,(y * x) * z) = K(x,(x * y) * z). [para(5146(a,1),8211(a,1,2,1)),flip(a)]. 8279 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6319(a,1),8215(a,1,1,2)),flip(a)]. 8280 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6626(a,2),8233(a,1,1))]. 8281 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5413(a,2),8236(a,2,1)),flip(a)]. 8282 K(T(x,y) \ 1,z) * K(x \ K(x,y),K(x,y) \ x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8236(a,2),5541(a,1,1))]. 8283 T(x,T(T(y,z),z)) = T(x,y). [hyper(37,a,7825,a,b,8240,a(flip))]. 8284 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(8240(a,1),221(a,1,2))]. 8285 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8240(a,2),217(a,1,1,1))]. 8286 T(x,K(y,x) * T(y,z)) = T(x,T(y,T(z,x))). [para(8240(a,1),4122(a,1,2))]. 8287 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(8240(a,2),5744(a,1))]. 8288 T(x,(y * z) / y) = T(x,T(z,y)). [para(208(a,1),8283(a,1,2,1)),flip(a)]. 8289 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5150(a,1),8283(a,1,2,1)),flip(a)]. 8290 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(66,a,7110,a(flip),b,8289,a),flip(a)]. 8292 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(66,a,7881,a,b,8258,a)]. 8293 K(x * ((y * z) / y),z) = K(z * x,z). [hyper(285,a,5785,a(flip),b,8262,a),flip(a)]. 8296 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8263(a,1),5805(a,1,2,1,2)),flip(a)]. 8299 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5949(a,1),8275(a,1,2,2,2))]. 8300 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6254(a,1),8276(a,1,2,2)),flip(a)]. 8301 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8280(a,1),7945(a,1,1))]. 8302 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(285,a,7908,a,b,8292,a),flip(a)]. 8303 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(285,a,7881,a,b,8292,a),flip(a)]. 8304 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5360(a,1),8302(a,1,1)),flip(a)]. 8305 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5360(a,1),8303(a,1,1)),flip(a)]. 8306 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8303(a,1),6353(a,1,3))]. 8307 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7997(a,1),8303(a,1,1))]. 8308 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6900,a,8306,a)]. 8309 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8306(a,1),478(a,1,1)),flip(a)]. 8310 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(285,a,7884,a,b,8304,a),flip(a)]. 8311 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7687(a,1),8304(a,1,2,2,1))]. 8312 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(285,a,8292,a(flip),b,8305,a),flip(a)]. 8313 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5737(a,1),8310(a,1,2,2))]. 8314 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3477,a,7863,a),flip(a)]. 8315 T(x,K(y,z)) * u != x * w | K(y,K(x,z)) * u = w. [para(7892(a,1),46(a,1))]. 8316 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7396(a,2),7909(a,1,2))]. 8317 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7961(a,1),7909(a,1,1))]. 8318 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(6427(a,1),7916(a,1,2))]. 8319 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5319(a,1),7919(a,1,1,2))]. 8322 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7944(a,1),7761(a,1,1)),flip(a)]. 8324 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(285,a,7973,a,b,7974,a),flip(a)]. 8325 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(66,a,6651,a(flip),b,8009,a)]. 8326 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1521(a,1),8009(a,1,1))]. 8327 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6652,a,8010,a)]. 8328 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(115(a,1),8010(a,1,2,1))]. 8329 K(T(x,y),T(z,R(z,u,w) * y)) = K(x,L(z,y,R(z,u,w))). [para(1509(a,1),8010(a,1,2))]. 8330 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1521(a,1),8010(a,1,2))]. 8331 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(32(a,2),8328(a,1,1))]. 8332 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4200(a,1),8011(a,1,1,1)),flip(a)]. 8333 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4275(a,1),8011(a,1,1))]. 8334 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5149(a,1),8023(a,1,2,2))]. 8335 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(66,a,8016,a(flip),b,8025,a)]. 8336 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(32(a,2),8335(a,1,1))]. 8337 K(T(x,y),T(z,y * z)) = K(x,L(z,y,z)). [para(5400(a,1),8030(a,1,2)),flip(a)]. 8338 K((x * y) \ z,L(y,x,y)) = K(T(z / (x * y),x),y). [hyper(66,a,8018,a(flip),b,8337,a),flip(a)]. 8339 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8031(a,1),425(a,1,1,2)),flip(a)]. 8340 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8031(a,1),7990(a,1,1))]. 8341 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8028(a,1),8031(a,1,1,2))]. 8342 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5150(a,1),8040(a,1,2,1,1)),flip(a)]. 8343 (K(x \ 1,y) \ z) * K(z / K(x \ 1,y),x) = T(K(x \ 1,y) \ z,x). [para(1407(a,1),8071(a,2,2))]. 8344 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(66,a,7770,a(flip),b,8084,a),flip(a)]. 8345 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6912(a,1),8097(a,1,1))]. 8346 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [hyper(124,a,8099,a(flip),b,5072,a),flip(a)]. 8347 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(66,a,8028,a(flip),b,8116,a)]. 8348 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(32(a,2),8347(a,1,1))]. 8349 K(T(x / (x / y),z),u * K(R(u,w,v5) * x,u)) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(7099(a,1),8124(a,2,2))]. 8350 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1270(a,1),8178(a,1,1))]. 8351 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(5082(a,1),8178(a,1,1)),flip(a)]. 8353 K((x \ 1) * y,T(z,y)) = K((x \ 1) * y,T(z,x)). [para(3029(a,1),8247(a,1,2)),flip(a)]. 8354 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(285,a,7881,a,b,8248,a),flip(a)]. 8355 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8249(a,2),6136(a,1,2,1))]. 8356 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7681(a,1),8249(a,1,2))]. 8357 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(285,a,6322,a(flip),b,8250,a),flip(a)]. 8358 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5775,a,8357,a)]. 8359 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(123,a,8357,a(flip),b,5518,a(flip))]. 8360 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7681(a,1),8357(a,1,1))]. 8361 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7696(a,1),8357(a,1,1))]. 8362 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(123,a,280,a(flip),b,8358,a)]. 8363 T(x,T(y,x \ y)) = T(x,y). [hyper(38,a,3997,a,b,8358,a),flip(a)]. 8364 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8358(a,1),294(a,1,1)),flip(b)]. 8366 T(x,T(x * y,y)) = T(x,x * y). [para(14(a,1),8363(a,1,2,2))]. 8367 T(x / y,T(x,y)) = T(x / y,x). [para(90(a,1),8363(a,1,2,2))]. 8368 T(x \ y,T(y,x)) = T(x \ y,y). [para(3976(a,1),8363(a,1,2))]. 8369 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [para(5149(a,1),8367(a,1,1))]. 8370 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(8368(a,1),5179(a,1,2,1))]. 8371 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8368(a,1),5816(a,1,2,1,2)),flip(a)]. 8372 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(118(a,1),8359(a,1,2))]. 8373 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1705(a,1),8359(a,1,1,2))]. 8374 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7630(a,1),8359(a,1,1,2)),flip(a)]. 8375 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8056(a,1),8359(a,1,1,2)),flip(a)]. 8376 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(66,a,4512,a(flip),b,8360,a),flip(a)]. 8377 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(66,a,7596,a(flip),b,8254,a),flip(a)]. 8378 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(7279(a,1),8266(a,1,1,2))]. 8379 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8269(a,1),5722(a,1,2,1,2)),flip(a)]. 8381 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(7290(a,1),8273(a,1,2,2))]. 8382 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4085(a,1),8279(a,1,1,2)),flip(a)]. 8383 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(791(a,1),8281(a,1,1,1))]. 8384 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(8002(a,2),8284(a,1,2))]. 8385 T(x,T(y,T(z,x))) = T(x,T(y,z)). [hyper(66,a,7628,a(flip),b,8286,a),flip(a)]. 8387 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(118(a,1),8385(a,1,2,2)),flip(a)]. 8388 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8308(a,2),5459(a,1,1))]. 8389 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8311(a,1),7917(a,1,1))]. 8390 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8311(a,1),7918(a,1,1))]. 8391 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(285,a,8013,a(flip),b,8344,a),flip(a)]. 8392 T(K(x,y),z * x) = T(K(x,y),z). [hyper(225,a,8356,a)]. 8393 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(285,a,3213,a(flip),b,8392,a),flip(a)]. 8394 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(224,a,8376,a,b,5518,a(flip))]. 8396 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8230(a,1),8376(a,1,1)),flip(a)]. 8397 T(K(x,y),T(z,x)) = T(K(x,y),z). [para(2227(a,1),8394(a,1,1))]. 8398 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7342(a,1),8394(a,1,1)),flip(a)]. 8399 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7344(a,1),8394(a,1,1))]. 8400 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5726,a,8398,a)]. 8404 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7940(a,1),8398(a,1,1))]. 8405 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(118(a,1),8399(a,1,2)),flip(a)]. 8406 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(7953,a,8400,a)]. 8407 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8400(a,1),7693(a,1,2))]. 8409 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(66,a,5240,a(flip),b,8404,a),flip(a)]. 8410 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [hyper(66,a,231,a(flip),b,8404,a),flip(a)]. 8411 x \ T(T(x,y),K(y,z)) = T(K(x,y),z). [hyper(122,a,8406,a,b,7704,a)]. 8412 K(x,T(T(y,z) \ 1,K(z,u))) = K(x,T(y,T(z,u)) \ 1). [para(8406(a,1),7692(a,2,2,1))]. 8413 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(118(a,1),8407(a,1,2,2)),flip(a)]. 8414 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(714(a,1),8407(a,1,2,2))]. 8415 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5391(a,1),8407(a,1,2,2))]. 8416 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(8405(a,1),7979(a,1,1))]. 8418 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(1 / x,y),z)) * x. [para(8411(a,1),919(a,1,1,2)),flip(a)]. 8419 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(66,a,8243,a(flip),b,8413,a),flip(a)]. 8420 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(66,a,8244,a,b,8419,a)]. 8421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(14(a,1),8419(a,1,2,2)),flip(a)]. 8422 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(8419(a,1),7864(a,1,1,2))]. 8423 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(118(a,1),8421(a,1,2)),flip(a)]. 8424 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4922(a,1),8420(a,1,2,2))]. 8425 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(5150(a,1),8384(a,1,2,1)),flip(a)]. 8426 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5346(a,1),7783(a,1))]. 8428 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7760(a,1),8426(a,1))]. 8429 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7762(a,2),8426(a,1))]. 8430 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8016(a,2),8426(a,1))]. 8434 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6439(a,2),8428(a,1))]. 8435 K(x \ y,z) != u | K(y / x,T(z,y)) = u. [para(6460(a,1),8428(a,1))]. 8438 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7924(a,2),7873(a,1,2))]. 8446 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(7927,a,6153,a)]. 8448 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,8112,a),flip(a)]. 8449 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(118(a,1),8448(a,1,2,2)),flip(a)]. 8450 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(66,a,6653,a(flip),b,8190,a)]. 8451 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8190(a,1),3653(a,1)),flip(b)]. 8452 K(x * y,x) != z | K(y * x,x) = z. [para(5146(a,1),8451(a,1,1))]. 8455 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(6572(a,2),8452(a,1))]. 8456 K(L(x,K(y,z),u),y) = K(x,y). [hyper(285,a,8176,a(flip),b,8450,a),flip(a)]. 8458 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8456(a,1,1))]. 8459 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7014(a,1),8217(a,1,1,1))]. 8460 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(103(a,1),8274(a,1,2,2))]. 8461 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(32(a,2),7690(a,2,2))]. 8462 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2963(a,1),7725(a,1,2,2))]. 8463 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(66,a,7459,a,b,7728,a)]. 8464 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6760,a,7734,a),flip(a)]. 8465 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(445,a,7734,a)]. 8466 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(66,a,6661,a(flip),b,8465,a)]. 8467 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(66,a,7186,a,b,7755,a)]. 8468 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(7821(a,1),6628(a,2,2,1))]. 8469 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(285,a,5177,a(flip),b,7824,a),flip(a)]. 8470 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(8469(a,1),6808(a,1,1))]. 8471 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4833(a,1),7837(a,1,1))]. 8472 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5304,a,7839,a),flip(a)]. 8473 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(66,a,6597,a,b,8472,a)]. 8474 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(66,a,7758,a,b,8473,a)]. 8476 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(7958(a,1),7869(a,1,1))]. 8477 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7392(a,1),7871(a,1,1)),flip(a)]. 8478 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7875(a,2),5296(a,1,1))]. 8479 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6032(a,1),7876(a,1,1)),flip(a)]. 8481 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7924(a,2),7937(a,1,1))]. 8482 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(194,a,7939,a(flip)),flip(a)]. 8483 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(7154(a,1),8482(a,1,2))]. 8484 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(8483(a,1),7343(a,1,1)),flip(a)]. 8485 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(285,a,8308,a(flip),b,7947,a),flip(a)]. 8487 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(7860(a,2),7964(a,2,2))]. 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(285,a,7868,a(flip),b,7967,a),flip(a)]. 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(7341(a,1),8488(a,1,2))]. 8491 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4182(a,1),7971(a,1,2,2,2))]. 8493 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [hyper(285,a,7681,a,b,7975,a),flip(a)]. 8494 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,x \ y)). [para(5073(a,2),7976(a,1,2,2))]. 8495 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(123,a,7558,a(flip),b,7981,a),flip(a)]. 8496 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2963(a,1),7981(a,1,1))]. 8497 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(32(a,1),7982(a,1,1))]. 8498 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5727,a,7988,a)]. 8499 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(66,a,5240,a(flip),b,8498,a),flip(a)]. 8500 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [hyper(262,a,8000,a)]. 8501 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8056(a,1),8000(a,1,1,1,2))]. 8502 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(66,a,8098,a(flip),b,8022,a),flip(a)]. 8503 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8502(a,1),7682(a,1,2))]. 8504 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(66,a,8124,a(flip),b,8026,a),flip(a)]. 8505 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(14(a,1),8504(a,1,2,2)),flip(a)]. 8506 (x * K(y,z)) * u != x * (K(y,w) * T(y,z)) | T(y,w) = u. [para(8037(a,1),46(a,1)),flip(a)]. 8507 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,8063,a),flip(a)]. 8508 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6546,a,8078,a)]. 8509 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5452,a,8508,a)]. 8510 K(x,y) * T((y * x) / y,z) != u | T(x,T(z,y)) = u. [para(8508(a,1),5453(a,1,2)),flip(b)]. 8511 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(15(a,1),8509(a,1,2,1,1))]. 8512 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(638(a,1),8509(a,1,2))]. 8513 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5149(a,1),8509(a,1,2,1))]. 8514 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6594(a,1),8513(a,1,2)),flip(a)]. 8515 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(66,a,4981,a,b,8079,a)]. 8516 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(66,a,5830,a,b,8082,a)]. 8517 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(404(a,1),8085(a,1,1,2))]. 8518 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(115(a,1),8089(a,1,1,1)),flip(a)]. 8519 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4553(a,1),8090(a,1,2)),flip(a)]. 8520 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(124,a,8103,a(flip),b,5125,a(flip)),flip(a)]. 8522 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5149(a,2),8105(a,1,2,1))]. 8523 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6774,a,b,8106,a)]. 8524 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8117(a,1),5123(a,2,2))]. 8525 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(285,a,7872,a(flip),b,8151,a),flip(a)]. 8526 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(7929(a,1),8163(a,2,1))]. 8527 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(285,a,7917,a(flip),b,8526,a),flip(a)]. 8528 T(x,K(y,z * x)) = T(x,K(y,z)). [para(115(a,1),8527(a,1,2,2,2))]. 8529 T(x,K(y,x * z)) = T(x,K(y,z)). [para(116(a,1),8527(a,1,2,2))]. 8530 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(207(a,1),8527(a,1,2,2)),flip(a)]. 8531 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8528,a),flip(a)]. 8532 T(x,K(y,z / x)) = T(x,K(y,z)). [para(17(a,1),8528(a,1,2,2)),flip(a)]. 8533 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8528(a,1),7945(a,1,1))]. 8534 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8529,a),flip(a)]. 8536 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8530,a),flip(a)]. 8537 T(x,K(y,x \ z)) != u | T(x,K(z,y)) = u. [para(8530(a,2),7953(a,1))]. 8538 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7953,a,8531,a)]. 8539 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8531(a,1),7701(a,1,2))]. 8540 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8534(a,1),28(a,1,1)),flip(a)]. 8541 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(8536(a,2),7953(a,1))]. 8542 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(32(a,2),8539(a,1,2))]. 8543 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [hyper(124,a,8195,a(flip),b,5434,a)]. 8544 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(32(a,2),8223(a,1,2,1))]. 8545 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(998(a,1),8223(a,1,2)),flip(a)]. 8546 K((x \ y) \ K(x \ y,z),u) = K(y \ x,T(u,z)). [hyper(285,a,7681,a,b,8237,a),flip(a)]. 8547 K((x \ y) \ K(x \ y,z),u) != w | K(y \ x,T(u,z)) = w. [para(8237(a,2),8428(a,1))]. 8549 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(66,a,5676,a(flip),b,8301,a),flip(a)]. 8550 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(32(a,2),8336(a,2,1))]. 8551 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(66,a,7112,a,b,8342,a)]. 8552 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6593(a,1),8350(a,1,1)),flip(a)]. 8554 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3492,a,b,8361,a),flip(a)]. 8555 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8362(a,1),6359(a,1,1,1))]. 8556 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6321(a,1),8372(a,1,1))]. 8557 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8054,a,8556,a),flip(a)]. 8558 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(66,a,8387,a(flip),b,8557,a)]. 8559 T(x,T(y,z * x)) = T(x,T(y,z)). [para(16(a,1),8557(a,1,2,2)),flip(a)]. 8560 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(87(a,1),8557(a,1,2,2)),flip(a)]. 8561 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(118(a,1),8558(a,1,2)),flip(a)]. 8562 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6594(a,1),8558(a,1,2))]. 8563 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(8558(a,1),8407(a,1,2))]. 8564 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(118(a,1),8559(a,1,2)),flip(a)]. 8565 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(801(a,1),8559(a,1,2)),flip(a)]. 8566 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8560(a,1),8407(a,1,2))]. 8567 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(5150(a,1),8563(a,1,2,2)),flip(a)]. 8568 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(118(a,1),8566(a,1,2,2)),flip(a)]. 8569 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(285,a,8359,a(flip),b,8375,a),flip(a)]. 8570 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6587(a,1),8569(a,1,2,1)),flip(a)]. 8571 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7703(a,1),8416(a,1,1))]. 8572 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(285,a,7403,a(flip),b,8571,a),flip(a)]. 8573 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7681(a,2),8572(a,1,1))]. 8574 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(38,a,5242,a,b,8425,a)]. 8575 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(285,a,8179,a(flip),b,8458,a),flip(a)]. 8577 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7392(a,1),8575(a,1,1,1)),flip(a)]. 8578 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7702(a,1),8575(a,1,1,1)),flip(a)]. 8579 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),8575(a,1,1,1,2))]. 8580 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1403(a,1),8577(a,1,1,1,2))]. 8581 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(5981(a,1),8577(a,1,1,1,2))]. 8582 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8577(a,1),7399(a,1,1,2)),flip(a)]. 8583 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(66,a,6490,a(flip),b,8578,a)]. 8584 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(105(a,2),8578(a,1,1))]. 8585 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5949(a,1),8583(a,1,1,2))]. 8586 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8585(a,1),5804(a,1,1,1,2)),flip(a)]. 8587 K(x \ K(L(y,z,u),w),y) = K(x \ 1,y). [para(6653(a,1),8585(a,1,1,2))]. 8588 K(x \ K(L(y,z,u),w),T(y,v5)) = K(x \ 1,T(y,v5)). [para(8009(a,1),8587(a,1,1,2))]. 8589 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7704(a,1),8580(a,1,1,1))]. 8590 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(7558(a,1),8581(a,1,1,1)),flip(a)]. 8591 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7681(a,2),8461(a,1,1))]. 8592 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(21(a,1),8487(a,2,2,1))]. 8593 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(285,a,8525,a(flip),b,8489,a),flip(a)]. 8595 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7396(a,1),8593(a,1,2))]. 8596 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8595(a,1),8485(a,1,2))]. 8597 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(8410(a,1),8493(a,2,2))]. 8598 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(224,a,8497,a(flip),b,3968,a(flip))]. 8600 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(5818(a,1),8507(a,1,2))]. 8601 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(8511(a,1),8211(a,1,2,1))]. 8602 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5207,a,8515,a)]. 8603 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5839(a,1),8602(a,1,2,1)),flip(a)]. 8604 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(285,a,7399,a(flip),b,8582,a),flip(a)]. 8605 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8582(a,2),7411(a,1))]. 8607 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7723(a,1),8604(a,1,2,1)),flip(a)]. 8608 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7756(a,1),8604(a,1,2,1))]. 8609 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7776(a,1),8604(a,1,2,1,2))]. 8610 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [hyper(124,a,8607,a(flip),b,5125,a(flip)),flip(a)]. 8611 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(19(a,2),8607(a,1,2)),flip(a)]. 8612 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6254(a,1),8607(a,1,2,1)),flip(a)]. 8613 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(285,a,5130,a,b,8610,a),flip(a)]. 8615 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,8613,a),flip(a)]. 8616 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(5360(a,1),8613(a,1,2,1)),flip(a)]. 8617 K(x \ 1,T(y,z \ K(x,u))) = K(T(x,z \ 1) \ 1,y). [para(8615(a,1),7691(a,1,1,1)),flip(a)]. 8619 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6585(a,1),8605(a,1,2,1))]. 8620 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(96(a,1),8590(a,1,1,1,2)),flip(a)]. 8621 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(8590(a,1),5302(a,2,2,2))]. 8622 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(15(a,1),8591(a,1,2)),flip(a)]. 8623 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(702(a,1),8591(a,2,2))]. 8624 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5150(a,1),8591(a,1,1,2))]. 8626 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(285,a,6735,a(flip),b,8620,a),flip(a)]. 8627 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(285,a,352,a(flip),b,8622,a),flip(a)]. 8628 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(285,a,7681,a(flip),b,8627,a),flip(a)]. 8630 K(L(x,y,y \ 1) \ z,x) = K(x \ z,x). [hyper(285,a,5448,a(flip),b,7846,a),flip(a)]. 8631 K(x / L(y,z,z \ 1),y) = K(y \ x,y). [hyper(66,a,7804,a,b,8630,a)]. 8632 K(x \ (y * L(x,z,z \ 1)),x) = K(y,x). [para(16(a,1),8631(a,1,1)),flip(a)]. 8633 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7856(a,1),7053(a,1,1,2))]. 8635 K(L(x,y,z),K(u,x \ u)) = 1. [hyper(285,a,79,a(flip),b,7903,a),flip(a)]. 8637 K(x,K(L(y,z,u),y \ x)) = 1. [hyper(66,a,7881,a,b,8635,a)]. 8638 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3371(a,1),8044(a,1,1))]. 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(5149(a,1),8510(a,1,2,1))]. 8642 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7727(a,1),46(a,1)),flip(a)]. 8643 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(285,a,8544,a(flip),b,7812,a),flip(a)]. 8645 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(8574(a,1),7835(a,1,2))]. 8646 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(118(a,1),7854(a,1,1,1))]. 8647 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(8646(a,1),6855(a,1,1))]. 8648 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4664(a,2),8647(a,1,1,2))]. 8649 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(66,a,4298,a(flip),b,7855,a),flip(a)]. 8650 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(66,a,5868,a(flip),b,7857,a),flip(a)]. 8651 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5973(a,1),7870(a,1,1)),flip(a)]. 8652 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5973(a,1),7910(a,1,2)),flip(a)]. 8653 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(66,a,8651,a,b,8652,a)]. 8654 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7881(a,1),8653(a,1,1))]. 8655 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4066(a,1),8654(a,2,2))]. 8656 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6090(a,1),8654(a,2,2))]. 8657 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5981(a,1),7911(a,1,2)),flip(a)]. 8658 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [hyper(285,a,5130,a,b,7913,a)]. 8659 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(5986(a,1),7931(a,1,2))]. 8660 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(6327(a,2),8074(a,1,2,2))]. 8661 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(66,a,8579,a(flip),b,8087,a)]. 8663 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(66,a,8013,a(flip),b,8661,a),flip(a)]. 8664 K(x / (y * z),z) = K(x / (z * y),z). [para(96(a,1),8663(a,1,1,2)),flip(a)]. 8665 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7682(a,1),8663(a,1,1,2))]. 8666 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7702(a,1),8663(a,1,1,2)),flip(a)]. 8668 K(x / (y * (K(z,u) * w)),u) = K(x / (y * w),u). [para(6254(a,1),8665(a,1,1,2)),flip(a)]. 8669 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(8665(a,1),7032(a,1,1))]. 8670 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(8666(a,1),5302(a,2,2,2))]. 8671 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(5360(a,1),8668(a,1,1,2,2)),flip(a)]. 8672 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(285,a,5302,a,b,8670,a),flip(a)]. 8673 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(25(a,2),8672(a,1,2)),flip(a)]. 8674 T(x,y / ((x \ z) * x)) = T(x,y / z). [para(5101(a,1),8672(a,1,2,2))]. 8675 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5146(a,1),8672(a,1,2,2))]. 8676 T(x,y / ((x \ z) * x)) = x * K(x,y / z). [hyper(285,a,5130,a(flip),b,8674,a),flip(a)]. 8677 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(5207,a,8676,a)]. 8679 K(x,y / (z * x)) = K(x,y / (x * z)). [para(14(a,1),8677(a,1,2,2,1))]. 8680 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(404(a,1),8677(a,1,2,2,1))]. 8681 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(285,a,6932,a(flip),b,8679,a),flip(a)]. 8682 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(113(a,2),8679(a,2,2)),flip(a)]. 8683 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(17(a,1),8681(a,1,2,2,1)),flip(a)]. 8684 K(x,R(1 / y,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(7284(a,2),8681(a,1,2,2,1)),flip(a)]. 8685 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7299(a,1),8681(a,1,2,2,1))]. 8686 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(66,a,7157,a(flip),b,8683,a),flip(a)]. 8687 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(66,a,5341,a(flip),b,8682,a)]. 8688 K(x,R(x \ y,x,T(z,y))) = K(x,(z * y) / (T(z,y) * x)). [para(116(a,1),8687(a,2,2,1))]. 8689 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [hyper(66,a,7024,a(flip),b,8671,a),flip(a)]. 8690 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(16(a,1),8673(a,1,2)),flip(a)]. 8691 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(285,a,8062,a(flip),b,8690,a),flip(a)]. 8694 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(122,a,8691,a(flip),b,5130,a(flip)),flip(a)]. 8695 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(285,a,5125,a,b,8694,a),flip(a)]. 8696 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8695(a,1,2))]. 8697 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8695(a,1),6106(a,1,1))]. 8698 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(66,a,8609,a(flip),b,8093,a)]. 8700 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(66,a,8014,a(flip),b,8698,a),flip(a)]. 8701 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1270(a,1),8700(a,1,2,2))]. 8702 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5197(a,1),8700(a,1,2,2)),flip(a)]. 8703 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7723(a,1),8700(a,1,2,2)),flip(a)]. 8704 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(25(a,2),8703(a,1,2)),flip(a)]. 8705 K(x \ y,z / ((y / x) * u)) = K(x \ y,z / ((x \ y) * u)). [para(5749(a,1),8703(a,1,2,2)),flip(a)]. 8706 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(16(a,1),8704(a,1,2)),flip(a)]. 8707 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(285,a,8125,a(flip),b,8706,a),flip(a)]. 8710 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8707(a,1,2))]. 8711 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5149(a,1),8102(a,1,1,1,2))]. 8712 K(x,T(T(y,z) \ 1,u)) = T(K(x,T(y \ 1,u)),z). [para(8027(a,1),8107(a,1,1)),flip(a)]. 8713 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(66,a,8115,a(flip),b,8118,a),flip(a)]. 8715 K((x \ y) * L(x,z,z \ 1),x) = K(y,x). [hyper(66,a,8632,a(flip),b,8259,a),flip(a)]. 8716 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(285,a,3462,a(flip),b,8267,a),flip(a)]. 8718 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [hyper(124,a,8716,a(flip),b,97,a),flip(a)]. 8719 T(K(x,y) * z,T(y,u)) = K(x,y) * T(z,T(y,u)). [hyper(6375,a,8268,a),flip(a)]. 8721 K(T(K(x,y) * z,T(y,u)) \ 1,w) = K(T(z,T(y,u)) \ K(y,x),w). [para(8719(a,2),6490(a,1,1,1))]. 8722 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(8400(a,1),8319(a,2,1))]. 8723 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(285,a,8459,a(flip),b,8322,a),flip(a)]. 8724 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7990(a,1),8325(a,1,1)),flip(a)]. 8725 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(66,a,6655,a(flip),b,8724,a)]. 8726 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(179(a,1),8724(a,1,1,2)),flip(a)]. 8727 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(249(a,1),8724(a,1,1,2))]. 8730 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6403,a,8726,a),flip(a)]. 8731 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(66,a,6648,a(flip),b,8726,a),flip(a)]. 8732 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(66,a,6636,a(flip),b,8726,a),flip(a)]. 8733 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5124(a,2),8726(a,1,2)),flip(a)]. 8734 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7990(a,1),8327(a,1,1)),flip(a)]. 8735 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(179(a,1),8734(a,1,2,2)),flip(a)]. 8736 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6331(a,1),8734(a,1,2,2)),flip(a)]. 8738 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6389,a,8735,a),flip(a)]. 8739 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(124,a,8735,a(flip),b,273,a)]. 8740 T(x,y * (z * x)) = T(x,y * (x * z)). [para(8739(a,1),8056(a,1,2)),flip(a)]. 8741 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(285,a,6646,a(flip),b,8736,a),flip(a)]. 8742 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(8741(a,2),8479(a,2,1)),flip(a)]. 8743 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8332(a,2),5321(a,1,1))]. 8744 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(285,a,8027,a(flip),b,8340,a),flip(a)]. 8745 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(6665(a,1),8345(a,1,1,1,2))]. 8746 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(32(a,2),8348(a,2,1))]. 8747 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(285,a,4230,a(flip),b,8369,a),flip(a)]. 8748 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(66,a,6778,a(flip),b,8747,a)]. 8749 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8364,a,8373,a),flip(a)]. 8750 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(122,a,8749,a(flip),b,5130,a(flip)),flip(a)]. 8751 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(285,a,5125,a,b,8750,a),flip(a)]. 8752 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(66,a,6628,a,b,8751,a)]. 8753 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [hyper(285,a,8359,a(flip),b,8374,a),flip(a)]. 8755 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5150(a,1),8753(a,1,2,1,1)),flip(a)]. 8757 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7865,a,8422,a),flip(a)]. 8758 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(14(a,1),8757(a,1,2,2)),flip(a)]. 8760 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(753(a,1),8512(a,1,2,1,2))]. 8761 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4197(a,1),8520(a,1,2,1))]. 8762 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4811(a,1),8523(a,1,2)),flip(a)]. 8763 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(285,a,5123,a,b,8524,a),flip(a)]. 8764 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5596(a,1),8763(a,2,1,2,1))]. 8765 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7794(a,1),8763(a,2,1,2))]. 8766 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(753(a,1),8543(a,1,2,2,1)),flip(a)]. 8767 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z \ 1)). [hyper(285,a,7691,a(flip),b,8617,a),flip(a)]. 8768 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5383(a,1),8633(a,1,1,2))]. 8769 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(8768(a,2),5821(a,2,1))]. 8770 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(5590,a,8645,a(flip))]. 8771 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7716(a,1),8645(a,1,2))]. 8772 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3978(a,2),8770(a,2,2))]. 8773 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(8409(a,1),8770(a,1,2))]. 8774 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8656(a,2),7930(a,1,1))]. 8775 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(136,a,8711,a)]. 8776 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(8711(a,1),5374(a,1,1))]. 8777 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(285,a,5307,a(flip),b,8718,a),flip(a)]. 8778 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4959,a,8777,a)]. 8779 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(285,a,7876,a,b,8742,a),flip(a)]. 8780 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8775(a,1),5448(a,1,2))]. 8781 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8775(a,1),5454(a,1,2))]. 8782 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(66,a,6566,a(flip),b,8776,a)]. 8783 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5836(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8784 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(6725(a,1),8780(a,1,2,1,2,2))]. 8785 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(8215(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8786 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(8122(a,1),7743(a,1,1))]. 8787 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(87(a,1),7754(a,1,2,1,1))]. 8788 R(x,y,T(z,K(y,u))) = R(x,y,z). [hyper(7818,a,7898,a),flip(a)]. 8789 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(7990(a,1),8788(a,1,3,2))]. 8790 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(8406(a,1),8789(a,1,3))]. 8792 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(285,a,5178,a(flip),b,8064,a),flip(a)]. 8793 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7756(a,1),8792(a,1,2))]. 8794 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5981(a,1),8793(a,1,2,1))]. 8795 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(4227(a,1),8104(a,1,1))]. 8796 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8795(a,1),8215(a,1,1,2)),flip(a)]. 8797 K(x * L(y,z,y),y) = K(y * x,y). [hyper(285,a,8293,a(flip),b,8796,a),flip(a)]. 8801 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8174(a,1),8133(a,2,2))]. 8802 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(285,a,5788,a(flip),b,8801,a),flip(a)]. 8804 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7682(a,1),8238(a,1,1,2)),flip(a)]. 8805 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(66,a,8008,a(flip),b,8326,a),flip(a)]. 8806 K(T(x,R(y,z,u) * w),L(y,w,R(y,z,u))) = K(T(x,w),y). [hyper(66,a,8007,a(flip),b,8329,a),flip(a)]. 8807 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(7147(a,1),8462(a,1,2))]. 8808 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4828(a,1),8500(a,1,1,1,2)),flip(a)]. 8809 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(589(a,1),8611(a,1,2))]. 8810 K(x,a(K(x,y),z,u)) = 1. [hyper(66,a,6013,a(flip),b,8809,a),flip(a)]. 8812 T(x,a(K(x,y),z,u)) = x. [hyper(59,a,8810,a)]. 8813 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,8812,a)]. 8814 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8812(a,1),28(a,1,1)),flip(a)]. 8815 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8812(a,1),7756(a,1,2,1)),flip(a)]. 8816 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8814(a,1),6154(a,1,2))]. 8817 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8813(a,1),7756(a,1,2,1)),flip(a)]. 8818 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8732(a,2,2))]. 8819 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7999,a,8807,a)]. 8821 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5527(a,1),7638(a,1,2))]. 8822 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5527(a,1),8821(a,2,2))]. 8823 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [hyper(124,a,8822,a(flip),b,104,a),flip(a)]. 8824 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4121(a,1),8823(a,1,2,1))]. 8825 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4121(a,1),8824(a,2,2,2))]. 8826 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8825(a,1),4158(a,1,1))]. 8827 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(66,a,7066,a,b,7655,a)]. 8829 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7788(a,2),6546(a,1))]. 8831 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(66,a,7792,a(flip),b,8077,a)]. 8832 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(66,a,7695,a(flip),b,8086,a)]. 8833 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(66,a,7792,a(flip),b,8092,a)]. 8834 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(216(a,1),8833(a,1,2))]. 8835 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6327(a,2),8833(a,1,2,1))]. 8836 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [hyper(66,a,8027,a(flip),b,8108,a),flip(a)]. 8837 L(K(T(x \ 1,y),z),u,w) = K(T(L(x,u,w) \ 1,y),z). [para(8028(a,1),8114(a,1,1))]. 8838 K(T(L(x \ 1,y,z) \ 1,u),w) = L(K(T(x,u),w),y,z). [para(3345(a,1),8837(a,1,1)),flip(a)]. 8839 K(x,T(L(y \ 1,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(8838(a,1),5320(a,1,1)),flip(a)]. 8840 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5335(a,1),8119(a,1,2,2))]. 8841 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(180,a,8840,a)]. 8843 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5149(a,2),8841(a,1,1,1))]. 8844 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5385(a,1),8841(a,1,1)),flip(a)]. 8845 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5400(a,1),8841(a,1,1)),flip(a)]. 8846 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7768(a,1),8845(a,1,1))]. 8847 L(x,y,x) \ x = x \ R(x,y,x). [hyper(66,a,5792,a(flip),b,8846,a),flip(a)]. 8848 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(285,a,2229,a,b,8843,a),flip(a)]. 8849 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1523(a,1),8848(a,1,1)),flip(a)]. 8850 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6280(a,1),8844(a,1,1))]. 8851 R(x,y,x) \ x = x \ L(x,y,x). [hyper(66,a,8549,a(flip),b,8850,a),flip(a)]. 8852 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,7040,a,b,8851,a)]. 8853 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(122,a,8851,a(flip),b,1153,a)]. 8854 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),2708(a,1,1,2,1))]. 8855 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8853(a,1),5056(a,2,2))]. 8856 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(8160(a,1),6629(a,1,2))]. 8857 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(66,a,7696,a(flip),b,8161,a)]. 8858 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(66,a,6692,a(flip),b,8198,a)]. 8859 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(8637(a,1),8318(a,1,2))]. 8860 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(4062(a,1),8346(a,2,2))]. 8861 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(8860(a,1),5731(a,1,1))]. 8862 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(66,a,8748,a(flip),b,8861,a),flip(a)]. 8863 L(x,R(y,x,y),x) = L(x,y,x). [hyper(66,a,5661,a(flip),b,8862,a)]. 8864 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(285,a,4332,a(flip),b,8863,a),flip(a)]. 8865 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(616(a,1),8382(a,1,1,2,1)),flip(a)]. 8866 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(66,a,7114,a(flip),b,8467,a),flip(a)]. 8868 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7681(a,2),8476(a,2,1))]. 8869 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(224,a,8484,a,b,xx)]. 8871 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(8869(a,1),981(a,2,1))]. 8873 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8491(a,1),8438(a,1))]. 8874 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,y)). [hyper(285,a,8226,a(flip),b,8494,a),flip(a)]. 8875 K(x,x \ y) * ((z * (x \ y)) * x) = T((z * (y / x)) * x,K(x,y)). [para(7567(a,1),8874(a,1,2))]. 8876 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(285,a,8513,a(flip),b,8514,a),flip(a)]. 8877 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(15(a,1),8876(a,1,2,1,1)),flip(a)]. 8878 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(66,a,8474,a(flip),b,8877,a)]. 8879 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(7217(a,2),8592(a,2,2))]. 8880 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7681(a,2),8596(a,1,2))]. 8881 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(285,a,5302,a,b,8621,a),flip(a)]. 8882 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(96(a,1),8881(a,1,2,1,2)),flip(a)]. 8883 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7396(a,1),8702(a,1,2)),flip(a)]. 8885 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(8777(a,1),8778(a,1,1))]. 8886 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(5977(a,1),8779(a,2,1,1))]. 8887 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(285,a,5625,a(flip),b,8827,a),flip(a)]. 8888 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(66,a,8516,a(flip),b,8887,a)]. 8889 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [hyper(66,a,4612,a,b,8839,a)]. 8890 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(285,a,1810,a(flip),b,8855,a),flip(a)]. 8891 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5530(a,1),8890(a,1,2))]. 8892 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(285,a,6688,a(flip),b,8858,a),flip(a)]. 8893 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(133,a,8859,a)]. 8894 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(4259(a,1),8864(a,1,2)),flip(a)]. 8895 L(x,L(y,x,y),x) = L(x,y,x). [hyper(285,a,4328,a(flip),b,8894,a),flip(a)]. 8897 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(8895(a,1),34(a,1,1)),flip(a)]. 8898 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(285,a,34,a(flip),b,8897,a),flip(a)]. 8899 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(66,a,5309,a,b,8898,a)]. 8900 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(66,a,7184,a(flip),b,8883,a),flip(a)]. 8901 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(x,T(y,w)),z,u). [hyper(285,a,6032,a(flip),b,8889,a),flip(a)]. 8902 L(K(x,T(y \ 1,z)),u,w) = K(x,T(L(y,u,w) \ 1,z)). [para(87(a,1),8901(a,1,2,1,1,1)),flip(a)]. 8903 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(32(a,2),7793(a,1,1))]. 8904 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8021(a,1),8314(a,1,2))]. 8905 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(285,a,8015,a(flip),b,8101,a),flip(a)]. 8906 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(66,a,8465,a(flip),b,8905,a),flip(a)]. 8907 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6556,a,8906,a)]. 8909 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(66,a,6120,a,b,8906,a)]. 8910 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(14(a,1),8906(a,1,2,1,1)),flip(a)]. 8913 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(66,a,7995,a(flip),b,8910,a),flip(a)]. 8914 K(x,T(L(y,z,u) \ 1,u * z)) = K(x,(u * z) / (u * (z * y))). [para(103(a,1),8913(a,2,2,2))]. 8915 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(66,a,8008,a(flip),b,8110,a),flip(a)]. 8916 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(8470(a,1),6083(a,1,1,1)),flip(a)]. 8918 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8598(a,1),4179(a,1,2))]. 8919 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5074(a,1),8649(a,1,1,1))]. 8920 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5097(a,1),8919(a,1,1)),flip(a)]. 8921 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(285,a,30,a,b,8920,a),flip(a)]. 8922 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(8921(a,1),34(a,1,1)),flip(a)]. 8923 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(66,a,7032,a(flip),b,8669,a),flip(a)]. 8924 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5516(a,1),8923(a,1,1,2,1)),flip(a)]. 8925 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8923(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8926 K(x,R(y \ 1,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [hyper(66,a,7163,a(flip),b,8684,a)]. 8927 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(8786(a,1),7712(a,2,1))]. 8928 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(66,a,8622,a(flip),b,8787,a),flip(a)]. 8930 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8804(a,2),6262(a,1))]. 8931 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2684(a,1),8903(a,2,1,1))]. 8932 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7626(a,1),7633(a,1,2,2)),flip(a)]. 8933 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(285,a,5595,a(flip),b,8932,a),flip(a)]. 8935 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,8933,a),flip(a)]. 8936 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,7107,a(flip),b,7750,a),flip(a)]. 8937 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,6727,a(flip),b,8936,a)]. 8938 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(205(a,1),8936(a,1,1,2)),flip(a)]. 8940 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8938(a,2),6554(a,1))]. 8941 (x * (y * K(z,u))) / (K(u,z) \ y) = x * K(u,K(z,K(u,z) \ y)). [para(7396(a,1),7877(a,1,1,2))]. 8942 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7932(a,1),7923(a,1,1))]. 8943 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / z) = x / z. [hyper(5452,a,8942,a)]. 8944 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8942(a,1),114(a,1,1,1)),flip(a)]. 8945 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8943(a,1),47(a,1)),flip(a)]. 8946 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(285,a,8008,a(flip),b,8032,a),flip(a)]. 8948 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(136,a,8946,a)]. 8949 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(28(a,1),8948(a,1,2))]. 8950 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(66,a,5519,a(flip),b,8949,a),flip(a)]. 8951 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(143,a,8950,a),flip(a)]. 8953 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(8159(a,1),8951(a,1,1)),flip(a)]. 8954 L(x,y,T(x,z)) = L(x,y,x). [hyper(285,a,5670,a(flip),b,8953,a),flip(a)]. 8958 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8954(a,1),30(a,2,1))]. 8961 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(285,a,30,a,b,8958,a),flip(a)]. 8963 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5114(a,1),8245(a,1,2)),flip(a)]. 8964 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(66,a,8722,a(flip),b,8317,a)]. 8965 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8389(a,2),5220(a,2,1))]. 8966 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(285,a,8334,a(flip),b,8415,a),flip(a)]. 8967 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(66,a,8419,a(flip),b,8966,a)]. 8970 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5340(a,1),8597(a,1,1,2))]. 8971 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [hyper(66,a,8149,a(flip),b,8601,a),flip(a)]. 8973 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [hyper(285,a,6626,a,b,8971,a),flip(a)]. 8974 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (y / x)). [hyper(285,a,8130,a,b,8973,a),flip(a)]. 8975 K(x \ y,(y / x) * z) = K(x \ y,z * (y / x)). [para(115(a,1),8974(a,1,2,1))]. 8976 K((x \ y) \ K(x \ y,(y / x) * z),u) = K(y \ x,T(u,z * (y / x))). [para(8975(a,2),8546(a,1,1,2))]. 8977 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4409(a,1),8624(a,1,2))]. 8978 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(285,a,8683,a(flip),b,8685,a),flip(a)]. 8979 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(66,a,8687,a,b,8978,a)]. 8980 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(90(a,1),8979(a,2,2,2,1))]. 8981 K(T(x,T(y,z)) \ K(y,u),w) = T(K(x \ K(y,u),w),T(y,z)). [hyper(66,a,6577,a(flip),b,8721,a),flip(a)]. 8982 T(((1 / x) * (x / y)) * y,K(y,x)) = a(x \ 1,y \ x,y). [hyper(66,a,6305,a(flip),b,8875,a),flip(a)]. 8983 T(a(x \ 1,x / y,y),K(y,x)) = a(x \ 1,y \ x,y). [para(3938(a,1),8982(a,1,1))]. 8984 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6607,a,8879,a)]. 8985 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8984(a,2),6049(a,1,2))]. 8986 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(285,a,34,a(flip),b,8922,a),flip(a)]. 8987 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,K(u,z) \ y)). [para(5334(a,1),8941(a,1,2))]. 8988 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8324(a,1),8970(a,1,1))]. 8989 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(66,a,6105,a(flip),b,8977,a),flip(a)]. 8990 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5150(a,1),8989(a,1,2,1)),flip(a)]. 8991 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),8990(a,1,2,2)),flip(a)]. 8992 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8991(a,1),7399(a,1,1,2)),flip(a)]. 8993 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(285,a,7399,a(flip),b,8992,a),flip(a)]. 8994 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(66,a,7020,a(flip),b,8993,a)]. 8996 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(285,a,7018,a(flip),b,8994,a),flip(a)]. 8997 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5360(a,1),8996(a,1,2)),flip(a)]. 8998 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5234(a,1),8996(a,1,2))]. 8999 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6254(a,1),8996(a,1,2)),flip(a)]. 9000 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8080(a,1),8996(a,1,2)),flip(a)]. 9001 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(66,a,7019,a(flip),b,8997,a)]. 9002 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8998(a,1),6160(a,1,1))]. 9004 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(14(a,1),9001(a,1,1,2)),flip(a)]. 9005 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8035(a,1),8999(a,1,2,2))]. 9006 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9002(a,1),47(a,1)),flip(a)]. 9007 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,y)). [para(8137(a,1),8987(a,2,2,2))]. 9008 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7884(a,2),9007(a,2,2))]. 9010 L(K(x,y) * K(x,K(y,z * (u * x))),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(6322(a,1),7922(a,2,1,2))]. 9011 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8015(a,1),8094(a,1,2,1,2))]. 9012 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(32(a,2),9011(a,2,2))]. 9013 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8015(a,1),8095(a,1,1,1,2))]. 9014 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(30(a,2),9013(a,2,2))]. 9015 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7695(a,1),9014(a,1,1,1,2))]. 9016 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6322(a,1),8355(a,1,2,1))]. 9017 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(66,a,8551,a(flip),b,9016,a),flip(a)]. 9018 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(285,a,8012,a(flip),b,9017,a),flip(a)]. 9020 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(66,a,7014,a(flip),b,9018,a)]. 9021 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(15(a,1),9018(a,1,2))]. 9022 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(8134(a,1),9018(a,1,1))]. 9023 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [hyper(124,a,9020,a,b,5125,a(flip))]. 9024 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(36(a,1),9020(a,2,2))]. 9025 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(9020(a,1),5190(a,2,1)),flip(a)]. 9026 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [hyper(285,a,32,a,b,9025,a),flip(a)]. 9027 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [hyper(122,a,9026,a(flip),b,5153,a)]. 9028 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(66,a,9005,a(flip),b,9022,a)]. 9030 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9018,a(flip),b,9028,a),flip(a)]. 9031 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(66,a,8142,a,b,9030,a)]. 9032 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7392(a,1),9030(a,1,2,1)),flip(a)]. 9034 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(5474,a,8370,a),flip(a)]. 9036 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(66,a,8019,a(flip),b,9034,a)]. 9037 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(6217(a,1),9036(a,1,1,1)),flip(a)]. 9038 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(66,a,9014,a(flip),b,9015,a),flip(a)]. 9039 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5246(a,1),9038(a,1,2,1))]. 9040 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5150(a,1),9039(a,2,2,1))]. 9041 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5399(a,1),9040(a,1,2,1))]. 9042 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4586(a,1),9041(a,1,2,1)),flip(a)]. 9043 K(x,L(y,z,y)) = K(x,y). [para(4245(a,1),9042(a,1,2)),flip(a)]. 9044 L(K(x,y),z,y) = K(x,y). [hyper(6652,a,9043,a)]. 9045 K(T(x / (y * z),y),z) = K((y * z) \ x,z). [hyper(66,a,8338,a(flip),b,9043,a)]. 9046 T(x,L(y,z,y)) = x * K(x,y). [hyper(124,a,9043,a(flip),b,5125,a(flip)),flip(a)]. 9047 K(x,R(y,z,y)) = K(x,y). [para(4586(a,1),9043(a,1,2)),flip(a)]. 9048 K(L(x,y,z),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9044,a)]. 9049 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(66,a,6663,a(flip),b,9044,a),flip(a)]. 9050 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(66,a,6662,a(flip),b,9044,a)]. 9051 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(124,a,9044,a(flip),b,7068,a(flip))]. 9056 R(K(x,y),z,y) = K(x,y). [hyper(7551,a,9047,a)]. 9057 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(285,a,5344,a,b,9047,a),flip(a)]. 9058 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [hyper(124,a,9047,a(flip),b,5805,a),flip(a)]. 9059 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(35(a,1),9048(a,1,1))]. 9060 K((x \ 1) \ y,x) = K(x * y,x). [para(452(a,1),9048(a,1,1)),flip(a)]. 9061 T(x,L(y,z,x)) = 1 / (x \ K(y,x)). [para(9048(a,1),5302(a,2,2,2))]. 9062 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9048(a,1),5805(a,1,2,1,2)),flip(a)]. 9063 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9048(a,1),5807(a,1,1,1,2)),flip(a)]. 9064 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9048(a,1),8027(a,1,1,2)),flip(a)]. 9065 K(R(x,y,z),z) = K(x,z). [hyper(66,a,9004,a(flip),b,9056,a)]. 9066 (K(x,y) * z) * y = K(x,y) * (z * y). [para(9056(a,1),112(a,1,1)),flip(a)]. 9067 K(T(x / (y * z),y),z) = K(y \ (x / z),z). [para(605(a,1),9065(a,1,1))]. 9068 T(x,L(y,z,y)) = x / K(y,x). [hyper(285,a,7396,a,b,9046,a),flip(a)]. 9069 T(x,L(y,z,y)) = T(x,y). [hyper(285,a,5130,a,b,9046,a),flip(a)]. 9071 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(630,a,9069,a),flip(a)]. 9073 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(285,a,4329,a(flip),b,9069,a),flip(a)]. 9075 L(x,y,x) * T(z,x) = z * L(x,y,x). [hyper(124,a,9069,a(flip),b,27,a(flip))]. 9077 T(x,R(y,z,y)) = T(x,y). [para(4586(a,1),9069(a,1,2)),flip(a)]. 9078 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(124,a,9077,a(flip),b,27,a(flip))]. 9079 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4290(a,1),9077(a,1,2))]. 9080 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4618(a,1),9077(a,1,2))]. 9081 K(R(x,y,x),z) = K(x,z). [hyper(39,a,5344,a,b,9057,a(flip))]. 9082 K(x,R(y,z,y)) != u | K(x,y) = u. [para(9057(a,2),5350(a,1))]. 9083 x * K(R(x,y,x),z) = T(x,z). [hyper(124,a,9081,a,b,5125,a(flip))]. 9084 R(K(x,y),z,x) = K(x,y). [hyper(66,a,9001,a(flip),b,9081,a)]. 9085 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(124,a,9081,a(flip),b,5179,a)]. 9086 K((x \ y) \ T(y,x),z) = K(x,z). [para(4252(a,1),9081(a,1,1))]. 9089 K(x,R(y,z,x)) = K(x,y). [hyper(66,a,9031,a(flip),b,9084,a)]. 9090 (K(x,y) * z) * x = K(x,y) * (z * x). [para(9084(a,1),112(a,1,1)),flip(a)]. 9092 T(x,R(y,z,x)) = x * K(x,y). [hyper(124,a,9089,a(flip),b,5125,a(flip)),flip(a)]. 9093 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6105(a,1),9089(a,1,2))]. 9094 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(9089(a,1),6813(a,1,1)),flip(a)]. 9095 K(L(x,y,x),z) = K(x,z). [hyper(5230,a,9068,a)]. 9097 L(K(x,y),z,x) = K(x,y). [hyper(66,a,8727,a(flip),b,9095,a)]. 9099 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9095(a,1),5272(a,1,1))]. 9100 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(8961(a,1),9095(a,1,1))]. 9101 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(285,a,14,a,b,9097,a),flip(a)]. 9102 K(x,L(y,z,x)) = K(x,y). [hyper(66,a,8735,a(flip),b,9097,a)]. 9103 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(66,a,6637,a(flip),b,9097,a)]. 9104 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(66,a,6636,a(flip),b,9097,a),flip(a)]. 9105 a(x,y,K(x,z)) = 1. [hyper(56,a,9097,a)]. 9106 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(124,a,9097,a(flip),b,104,a),flip(a)]. 9107 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(124,a,9097,a(flip),b,7068,a(flip))]. 9110 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(35(a,1),9102(a,1,2))]. 9111 K(x,(x \ 1) \ y) = K(x,x * y). [para(452(a,1),9102(a,1,2)),flip(a)]. 9112 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(695(a,1),9102(a,1,2)),flip(a)]. 9113 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9102(a,1),6653(a,1,1)),flip(a)]. 9114 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(122,a,9083,a(flip),b,6860,a),flip(a)]. 9115 T(x,R(y,z,x)) = T(x,y). [hyper(285,a,5130,a,b,9092,a),flip(a)]. 9116 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(605(a,1),9115(a,1,2))]. 9117 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(702(a,1),9115(a,1,2))]. 9121 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(66,a,6691,a(flip),b,9060,a),flip(a)]. 9122 x \ T(x * y,x) = y * K(x * y,x). [hyper(124,a,9060,a(flip),b,6466,a),flip(a)]. 9123 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(9060(a,1),6661(a,1,1))]. 9124 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(9060(a,1),6902(a,1,2,1,2))]. 9125 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(9060(a,1),6953(a,1,2,1,2))]. 9127 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(66,a,8574,a,b,9079,a)]. 9128 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(66,a,8399,a(flip),b,9079,a),flip(a)]. 9129 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(117(a,1),9079(a,1,2))]. 9130 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(4076(a,1),9079(a,1,2))]. 9131 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(630,a,9129,a),flip(a)]. 9132 T(x,L(y,z,x)) = T(x,y). [hyper(285,a,5302,a,b,9061,a),flip(a)]. 9133 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9132(a,1,2))]. 9134 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(453(a,1),9132(a,1,2)),flip(a)]. 9135 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(822(a,1),9132(a,1,2)),flip(a)]. 9136 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(706(a,1),9093(a,1,2,2))]. 9137 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9100(a,1),5272(a,1,1))]. 9139 L(K(x,y),z,x) != u | K(x,y) = u. [para(9101(a,2),304(a,1)),flip(b)]. 9140 K(L(x,y,x),z) != u | K(x,z) = u. [para(6653(a,1),9139(a,1))]. 9141 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6637(a,1),9139(a,1))]. 9142 K(x,y) != z | K(R(x,u,x),y) = z. [para(4586(a,1),9140(a,1,1))]. 9144 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(15(a,1),9049(a,2,1,2))]. 9145 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(9049(a,1),6662(a,1,1))]. 9146 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1483(a,1),9050(a,1,1,1)),flip(a)]. 9147 T(T(x * K(y \ (x \ z),x),u),w) \ T(T(x,u),w) = K(T(T(x,u),w),(x * y) \ z). [para(9050(a,1),5894(a,1,1,1,1,2))]. 9148 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9050(a,1),8745(a,1,1,1,2))]. 9149 x * (y * K(x * y,x)) = T(x * y,x). [hyper(5180,a,9051,a),flip(a)]. 9150 R(x,y,K(z,x)) = x. [hyper(475,a,9051,a)]. 9151 R(x,y,K(z,T(x,u))) = x. [hyper(144,a,9150,a(flip))]. 9152 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9150(a,1),471(a,1,1,1)),flip(a)]. 9153 (R(x,y,z) * u) * K(w,x) = R(x,y,z) * (u * K(w,x)). [para(9150(a,1),473(a,1,1,1)),flip(a)]. 9157 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9151(a,1),112(a,1,1)),flip(a)]. 9158 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9151(a,1),472(a,1,1,1)),flip(a)]. 9159 L(x,y,K(z,x)) = x. [hyper(445,a,9066,a)]. 9161 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(116(a,1),9066(a,1,1)),flip(a)]. 9162 L(x,y,K(x,z)) = x. [hyper(6947,a,9159,a)]. 9163 L(x,y,K(z,L(x,u,w))) = x. [hyper(147,a,9159,a)]. 9165 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(9159(a,1),35(a,1,1)),flip(a)]. 9166 (K(x,y) * z) * y != u | K(x,y) * (z * y) = u. [para(9159(a,1),265(a,1,2))]. 9167 (K(x,y) * z) * L(y,u,w) = K(x,y) * (z * L(y,u,w)). [para(9159(a,1),410(a,1,2,1))]. 9168 L(K(x,y),z,K(u,y)) = K(x,y). [para(9159(a,1),6646(a,1,2)),flip(a)]. 9169 L(K(x,y),z,K(u,x)) = K(x,y). [para(9159(a,1),6651(a,1,1)),flip(a)]. 9170 L(x,y,K(R(x,z,u),w)) = x. [hyper(149,a,9162,a(flip))]. 9171 L(T(x,y),z,K(x,u)) = T(x,y). [para(9162(a,1),30(a,2,1))]. 9172 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(9162(a,1),410(a,1,2,1))]. 9173 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(9162(a,1),411(a,1,2,1))]. 9176 L(K(x,y),z,K(y,u)) = K(x,y). [para(9162(a,1),6646(a,1,2)),flip(a)]. 9177 L(K(x,y),z,K(x,u)) = K(x,y). [para(9162(a,1),6651(a,1,1)),flip(a)]. 9179 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(9163(a,1),5280(a,1,2)),flip(a)]. 9180 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(9170(a,1),444(a,1,2,2)),flip(a)]. 9181 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(66,a,8726,a(flip),b,9168,a)]. 9182 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [hyper(124,a,9168,a(flip),b,7068,a(flip))]. 9183 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(66,a,8735,a(flip),b,9169,a)]. 9184 (K(x,y) * (x \ z)) \ (K(x,y) * z) = T(x,x \ z). [hyper(66,a,320,a(flip),b,9171,a)]. 9188 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [hyper(124,a,9176,a(flip),b,7068,a(flip))]. 9189 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(9176(a,1),411(a,1,2,1))]. 9192 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(6094(a,1),9176(a,1,3))]. 9193 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(66,a,8735,a(flip),b,9177,a)]. 9194 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [hyper(124,a,9177,a(flip),b,7068,a(flip))]. 9195 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(9177(a,1),30(a,2,1))]. 9196 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(9177(a,1),34(a,1,1)),flip(a)]. 9197 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(66,a,8584,a(flip),b,9181,a)]. 9198 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9181(a,1),5232(a,2,1,1))]. 9199 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(35(a,1),9183(a,1,2))]. 9200 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(9193(a,1),7881(a,1,2)),flip(a)]. 9202 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(9165(a,1),499(a,1,2))]. 9203 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [hyper(124,a,9071,a(flip),b,27,a(flip)),flip(a)]. 9205 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(118(a,1),9075(a,1,2))]. 9207 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(118(a,1),9078(a,1,2))]. 9209 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5960,a,9080,a),flip(a)]. 9210 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(3372,a,9085,a)]. 9211 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(122,a,9085,a(flip),b,5524,a)]. 9212 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(9085(a,1),4452(a,1,1)),flip(a)]. 9213 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(285,a,5518,a(flip),b,9090,a),flip(a)]. 9215 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(8228(a,1),9090(a,1,1)),flip(a)]. 9217 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5452,a,9099,a)]. 9219 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(122,a,9099,a(flip),b,5530,a)]. 9220 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(122,a,9099,a(flip),b,5529,a),flip(a)]. 9221 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9099(a,1),8891(a,1,2)),flip(a)]. 9222 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(66,a,8423,a,b,9103,a)]. 9223 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(66,a,7369,a(flip),b,9103,a),flip(a)]. 9224 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(5435(a,1),9103(a,1,2,1)),flip(a)]. 9225 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(9103(a,1),5946(a,1,1))]. 9226 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9103(a,1),6563(a,2,2))]. 9227 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(66,a,8154,a,b,9104,a)]. 9228 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9104(a,1),6637(a,1,1))]. 9230 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(122,a,5131,a(flip),b,9106,a),flip(a)]. 9231 (x \ y) * K(y,x) = x \ T(y,x). [hyper(7409,a,9230,a)]. 9232 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(128,a,9230,a),flip(a)]. 9233 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(9231(a,1),23(a,2,1)),flip(a)]. 9234 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(27(a,2),9231(a,1,1))]. 9235 R(x,y,K(x,z)) = x. [hyper(475,a,9107,a)]. 9236 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9107(a,1),6311(a,1,1))]. 9237 R(x,y,K(T(x,z),u)) = x. [hyper(144,a,9235,a(flip))]. 9238 R(T(x,y),z,K(x,u)) = T(x,y). [para(9235(a,1),32(a,2,1))]. 9239 R((x * y) / x,z,K(y,u)) = (x * y) / x. [para(9235(a,1),783(a,2,1,2))]. 9240 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9235(a,1),471(a,1,1,1)),flip(a)]. 9241 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9235(a,1),472(a,1,1,1)),flip(a)]. 9242 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9235(a,1),473(a,1,1,1)),flip(a)]. 9243 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(9235(a,1),1192(a,1,1,3,2))]. 9248 R(x,y,T(x,z)) = R(x,y,x). [para(9235(a,1),6901(a,1,1)),flip(a)]. 9250 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9237(a,1),474(a,1,1)),flip(a),flip(b)]. 9253 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(118(a,1),9248(a,1,3)),flip(a)]. 9254 R(x,y,(x \ z) \ z) = R(x,y,x). [para(117(a,1),9248(a,1,3))]. 9255 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(615(a,1),9248(a,1,3))]. 9256 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9248(a,1),988(a,2,2))]. 9261 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(9238(a,1),6901(a,1,1)),flip(a)]. 9262 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(124,a,7819,a(flip),b,9122,a)]. 9263 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(66,a,4495,a,b,9122,a)]. 9264 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(66,a,1362,a,b,9122,a)]. 9265 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(4084(a,1),9122(a,1,2,1)),flip(a)]. 9266 x \ T(x * y,x) = y * K(y * x,x). [para(5785(a,2),9122(a,2,2))]. 9267 K((((x \ (x * y)) \ 1) * (x \ 1)) \ 1,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(9122(a,1),6971(a,1,2))]. 9268 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(9122(a,2),7561(a,1,1,2))]. 9269 T(x,y \ (x \ 1)) / (x * y) = x * ((x / (x * y)) / x). [hyper(123,a,9133,a(flip),b,3815,a)]. 9270 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(15(a,1),9133(a,1,2,1)),flip(a)]. 9271 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ z)) = T(1 / x,(y * ((1 / x) / y)) \ z). [para(7173(a,1),9133(a,1,2,1)),flip(a)]. 9272 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9133(a,1),8419(a,1,2))]. 9273 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(66,a,8561,a,b,9134,a)]. 9274 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(66,a,7634,a,b,9134,a)]. 9275 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,9144,a)]. 9276 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(9192(a,1),35(a,1,1)),flip(a)]. 9278 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5101(a,1),9197(a,1,1,2))]. 9279 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5146(a,1),9197(a,1,1,2))]. 9280 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5360(a,1),9197(a,1,1,2)),flip(a)]. 9281 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5234(a,1),9197(a,1,1,2))]. 9282 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5545(a,1),9197(a,1,1,2))]. 9284 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5709(a,1),9197(a,1,1,2))]. 9285 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5832(a,1),9197(a,1,1,2))]. 9286 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(224,a,9213,a,b,5152,a)]. 9289 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(285,a,7366,a,b,9223,a)]. 9290 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(285,a,7157,a(flip),b,9223,a),flip(a)]. 9291 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(9223(a,2),7174(a,1,2))]. 9292 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(285,a,4225,a(flip),b,9261,a),flip(a)]. 9293 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [hyper(124,a,9261,a(flip),b,4248,a),flip(a)]. 9294 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5150(a,1),9261(a,1,1)),flip(a)]. 9295 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(9261(a,1),9047(a,1,2))]. 9296 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(9261(a,1),9077(a,1,2))]. 9297 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(32(a,1),9295(a,1,2))]. 9298 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(32(a,1),9296(a,1,2))]. 9299 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4259(a,1),9297(a,1,2,1)),flip(a)]. 9300 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(66,a,3981,a(flip),b,9298,a),flip(a)]. 9301 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4259(a,1),9298(a,1,2,1)),flip(a)]. 9302 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(9266(a,1),6343(a,1,1))]. 9303 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2710(a,1),9274(a,1,2,1)),flip(a)]. 9304 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(66,a,8187,a,b,9275,a)]. 9305 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [hyper(6674,a,9278,a)]. 9306 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(285,a,6844,a,b,9279,a)]. 9307 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(9279(a,1),8027(a,1,1,2))]. 9308 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(9279(a,1),8780(a,1,2,1,2,2))]. 9309 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5115(a,1),9280(a,1,1,2)),flip(a)]. 9310 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(5153(a,2),9280(a,1,1,2))]. 9311 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),9280(a,1,1,2,1))]. 9312 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6270,a,9286,a),flip(a)]. 9313 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6257,a,9286,a)]. 9314 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(285,a,2432,a(flip),b,9286,a),flip(a)]. 9315 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(15(a,1),9286(a,1,1)),flip(a)]. 9316 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(28(a,1),9286(a,2,2))]. 9317 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7681(a,2),9286(a,2,2))]. 9319 K(x,R((y \ 1) * x,z,u) \ 1) = R(K(x,x \ y),z,u). [para(9290(a,1),6934(a,1,1)),flip(a)]. 9320 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(87(a,1),9304(a,1,1,1)),flip(a)]. 9321 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T((T(y,u) * K(z,u)) \ 1,K(z,u) \ 1)). [para(9312(a,2),7847(a,2,2,1,1)),flip(a)]. 9322 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(14(a,1),9313(a,1,2,1)),flip(a)]. 9323 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9313(a,1),1417(a,1,1)),flip(a)]. 9324 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9313(a,1),6268(a,1,1)),flip(a)]. 9325 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(66,a,5185,a,b,9315,a)]. 9327 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(122,a,9315,a(flip),b,972,a),flip(a)]. 9328 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(123,a,9322,a,b,xx)]. 9330 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5764(a,1),9322(a,1,1)),flip(a)]. 9331 K(x,T(K(y,z) * u,z) \ 1) = K(x,T(u,z) \ K(z,y)). [para(9322(a,2),6416(a,1,2,1))]. 9332 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(122,a,9324,a,b,5152,a)]. 9335 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5158(a,1),9328(a,1,1,1))]. 9336 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,9064,a),flip(a)]. 9337 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(453(a,1),9336(a,1,2,2)),flip(a)]. 9338 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(285,a,5232,a,b,9198,a),flip(a)]. 9339 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),9338(a,1,2))]. 9340 (((x * y) / x) \ z) * K(y,y \ z) = ((x * y) / x) \ (y * (z / y)). [para(9239(a,1),5622(a,1,1)),flip(a)]. 9341 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(9292(a,1),9297(a,1,2,1))]. 9343 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(285,a,6513,a,b,9058,a)]. 9344 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(285,a,3195,a(flip),b,9058,a),flip(a)]. 9345 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9058(a,2,2))]. 9346 K((x * y) \ z,y) = K(x \ (z / y),y). [hyper(66,a,9045,a(flip),b,9067,a)]. 9347 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(285,a,8200,a(flip),b,9346,a),flip(a)]. 9348 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(124,a,9347,a(flip),b,6349,a),flip(a)]. 9349 K(L(x \ y,x,z / y),x) = K((z / y) \ (x \ z),x). [para(455(a,2),9347(a,1,1))]. 9350 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9347(a,1),5803(a,1,1,1,2))]. 9351 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(9347(a,1),7399(a,1,1,2))]. 9352 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(66,a,8564,a(flip),b,9116,a)]. 9353 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(285,a,7644,a(flip),b,9352,a),flip(a)]. 9354 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9353(a,1,2))]. 9355 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(8452,a,9121,a)]. 9356 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6423,a,9121,a)]. 9357 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8873,a,9128,a)]. 9360 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6447,a,9203,a)]. 9361 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4586(a,1),9205(a,1,1)),flip(a)]. 9362 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(9207(a,2),1622(a,1,1))]. 9363 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(4252(a,1),9207(a,2,2))]. 9364 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9207(a,1),6264(a,2,2))]. 9365 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9236(a,1),6323(a,1,2))]. 9366 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7453(a,2),9253(a,1,1))]. 9367 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(9263(a,2),5392(a,2,1,2))]. 9368 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(9263(a,2),7642(a,1,2,1))]. 9369 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(211(a,1),9285(a,1,1)),flip(a)]. 9370 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9289(a,1),6939(a,2,2))]. 9371 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(66,a,5337,a(flip),b,9299,a),flip(a)]. 9372 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(4189(a,1),9299(a,1,2))]. 9373 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(124,a,9300,a(flip),b,1679,a)]. 9374 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4189(a,1),9301(a,1,2))]. 9375 K((x / y) \ z,T(z,y)) = K((y \ x) \ z,z). [hyper(285,a,6665,a,b,9306,a),flip(a)]. 9376 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(87(a,1),9306(a,1,1,1)),flip(a)]. 9377 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(9310(a,1),5724(a,1,1,1,2)),flip(a)]. 9378 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(5435(a,1),9332(a,1,2,1))]. 9379 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9355(a,1),6185(a,1,1,1))]. 9380 T(x \ 1,y) \ T(x \ K(x \ z,x \ 1),y) = K(z * (x \ 1),T(x \ 1,y)). [para(9355(a,1),5892(a,1,2,1,2))]. 9384 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(66,a,6165,a,b,9371,a)]. 9385 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(28(a,1),9372(a,2,2))]. 9386 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(4294(a,1),9385(a,1,2)),flip(a)]. 9387 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(285,a,6653,a(flip),b,9113,a),flip(a)]. 9388 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(453(a,1),9387(a,1,2)),flip(a)]. 9390 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4370(a,1),9293(a,2,2))]. 9391 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(66,a,7995,a(flip),b,9112,a),flip(a)]. 9392 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9391(a,2),7726(a,1,1))]. 9393 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(285,a,9221,a(flip),b,9114,a),flip(a)]. 9394 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(285,a,8570,a(flip),b,9117,a),flip(a)]. 9395 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,9152,a)]. 9396 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(66,a,8203,a(flip),b,9152,a),flip(a)]. 9397 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9395,a)]. 9398 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(66,a,6662,a(flip),b,9395,a)]. 9400 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(9395(a,1),410(a,1,2,1))]. 9401 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(789(a,1),9397(a,1,1))]. 9402 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(6760,a,9157,a),flip(a)]. 9403 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(445,a,9157,a)]. 9404 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(66,a,6662,a(flip),b,9403,a)]. 9405 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7495,a,9161,a)]. 9406 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(8226(a,1),9405(a,2,1))]. 9407 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [hyper(66,a,8893,a(flip),b,9179,a)]. 9408 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(9182(a,1),7941(a,1,2))]. 9409 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K((x \ y) \ u,x \ y)) \ y. [hyper(285,a,7461,a,b,9184,a),flip(a)]. 9410 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(9188(a,1),981(a,1,1,2))]. 9411 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8015(a,1),9188(a,1,2)),flip(a)]. 9413 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(9194(a,1),8309(a,2,2))]. 9414 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(66,a,6263,a(flip),b,9212,a)]. 9415 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(66,a,4967,a(flip),b,9226,a),flip(a)]. 9416 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(66,a,4946,a(flip),b,9226,a),flip(a)]. 9417 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,9240,a)]. 9418 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(66,a,6637,a(flip),b,9417,a)]. 9419 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(9262(a,1),6586(a,1,1,1))]. 9420 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(9281(a,1),7035(a,1,1))]. 9421 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(38,a,6319,a,b,9291,a)]. 9422 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(9421(a,1),7432(a,1,1)),flip(a)]. 9423 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(9309(a,1),5807(a,1,1,1,2))]. 9424 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(66,a,8048,a(flip),b,9311,a),flip(a)]. 9425 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5146(a,1),9311(a,1,1,2)),flip(a)]. 9427 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5516(a,1),9311(a,1,1,2)),flip(a)]. 9428 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7997(a,1),9311(a,1,1,2))]. 9430 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(66,a,7994,a(flip),b,9424,a),flip(a)]. 9431 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9430(a,1),7399(a,1,1,2)),flip(a)]. 9432 K((x * K(y,z)) / u,z) = K(x / u,z). [para(8080(a,1),9430(a,1,1,1)),flip(a)]. 9433 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9430(a,1),8780(a,1,2,1,2,2)),flip(a)]. 9434 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1270(a,1),9432(a,1,1,1))]. 9435 K((x * L(K(y,z),u,w)) / v5,z) = K(x / v5,z). [para(5981(a,1),9432(a,1,1,1,2))]. 9436 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(9434(a,1),7399(a,1,1,2)),flip(a)]. 9437 K((x * (y * K(z,u))) / w,z) = K((x * y) / w,z). [para(7558(a,1),9435(a,1,1,1)),flip(a)]. 9438 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(285,a,5552,a(flip),b,9316,a),flip(a)]. 9439 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(9438(a,1),7990(a,1,1))]. 9440 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(976(a,1),9337(a,1,2,2)),flip(a)]. 9441 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(66,a,8616,a(flip),b,9339,a)]. 9443 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5101(a,1),9441(a,1,2,2))]. 9444 T(x,y \ T(x,z)) = T(x,y \ x). [para(5143(a,1),9441(a,1,2,2)),flip(a)]. 9445 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5146(a,1),9441(a,1,2,2))]. 9446 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5158(a,1),9441(a,1,2,2)),flip(a)]. 9447 T(K(x \ T(y,z),u),T(y,x \ y)) = T(K(x \ T(y,z),u),y). [para(9444(a,1),8397(a,1,2))]. 9448 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9445(a,1),5178(a,1,2,1))]. 9449 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9445(a,1),8522(a,1,2))]. 9450 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(118(a,1),9446(a,1,2,2,1)),flip(a)]. 9451 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(7411,a,9351,a),flip(a)]. 9452 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(9351(a,1),7411(a,1))]. 9453 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9451(a,1,2))]. 9454 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(105(a,2),9452(a,1,2))]. 9455 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,((x / y) \ (x * z)) / x). [hyper(285,a,7744,a(flip),b,9453,a),flip(a)]. 9456 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(66,a,7361,a(flip),b,9453,a),flip(a)]. 9457 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4083(a,1),9453(a,2,2,2,2))]. 9458 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(4201(a,1),9453(a,2,2,2,2))]. 9459 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9393(a,1),9131(a,1,1,2,1))]. 9460 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(9122(a,2),9396(a,1,2))]. 9461 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(285,a,9282,a(flip),b,9398,a),flip(a)]. 9463 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9461(a,1),7884(a,2,2))]. 9466 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(9404(a,1),5977(a,1,1))]. 9467 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(9416(a,1),7399(a,1,1))]. 9468 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(37,a,6721,a,b,9422,a),flip(a)]. 9469 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(66,a,9144,a(flip),b,9468,a),flip(a)]. 9470 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [hyper(66,a,6484,a(flip),b,9468,a),flip(a)]. 9471 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1081(a,1),9469(a,1,1,2,1)),flip(a)]. 9472 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(9469(a,1),5302(a,2,2,2))]. 9473 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(285,a,6724,a(flip),b,9425,a),flip(a)]. 9474 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6311(a,1),9425(a,1,1,2)),flip(a)]. 9475 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(285,a,7399,a(flip),b,9431,a),flip(a)]. 9476 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5146(a,1),9475(a,1,2,1)),flip(a)]. 9477 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5564(a,1),9475(a,1,2,1))]. 9478 R(K(x,y / (z / u)),K(x,w) * y,u) = K(x,((K(x,w) * y) * u) / z). [para(9475(a,1),6102(a,1,1))]. 9479 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8357(a,1),9475(a,1,2,1))]. 9480 x * K(x,(x * y) / z) = T(x,(y * x) / z). [hyper(124,a,9476,a(flip),b,5125,a(flip))]. 9481 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(1552(a,1),9476(a,2,2))]. 9482 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5180,a,9480,a),flip(a)]. 9484 K((x * (y * z)) / u,z) = K((x * (z * y)) / u,z). [para(96(a,1),9437(a,1,1,1,2)),flip(a)]. 9485 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(7682(a,1),9437(a,1,1,1,2))]. 9486 K((x * (y * K(z,u))) / w,T(z,v5)) = K((x * y) / w,T(z,v5)). [para(7990(a,1),9437(a,1,1,1,2,2))]. 9487 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1642(a,1),9460(a,1,2)),flip(a)]. 9488 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1672(a,1),9460(a,1,2)),flip(a)]. 9489 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(393(a,2),9467(a,1,1,2,2,1))]. 9490 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(9467(a,1),1353(a,1,1,2,1))]. 9491 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(285,a,5302,a,b,9472,a),flip(a)]. 9492 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(14(a,1),9491(a,1,2,2,1)),flip(a)]. 9493 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1081(a,1),9491(a,1,2,2,1)),flip(a)]. 9494 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(66,a,9133,a(flip),b,9492,a)]. 9495 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,9494,a),flip(a)]. 9496 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K((L(y,z,x) * (x * z)) / u,T(y,x * z)). [para(582(a,1),9484(a,1,1,1)),flip(a)]. 9497 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [hyper(66,a,8689,a(flip),b,9485,a)]. 9498 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7685(a,1),9330(a,1,2))]. 9499 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(66,a,5764,a(flip),b,9498,a),flip(a)]. 9500 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(254,a,9499,a)]. 9501 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7540(a,1),9500(a,1,1))]. 9502 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(28(a,1),9384(a,1,2))]. 9503 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(66,a,6225,a(flip),b,9502,a)]. 9504 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(28(a,1),9503(a,1,2))]. 9505 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(4200(a,1),9504(a,2,2))]. 9506 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5785(a,2),9124(a,1,2,1,2))]. 9507 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(37,a,9149,a,b,9125,a)]. 9509 L(K(x,y),z,R(y,u,w)) = K(x,y). [hyper(445,a,9153,a)]. 9510 K(x,L(y,z,R(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9509,a)]. 9511 K(T(x,R(y,z,u) * w),y) = K(T(x,w),y). [hyper(66,a,8806,a(flip),b,9510,a),flip(a)]. 9513 R(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(475,a,9167,a)]. 9514 K((x * L(y,z,u)) / w,y) = K(x / (w / L(y,z,u)),y). [hyper(66,a,7033,a(flip),b,9513,a)]. 9515 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(475,a,9173,a)]. 9516 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5146(a,1),9173(a,1,1)),flip(a)]. 9517 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(9173(a,1),5521(a,1,1,2))]. 9518 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(66,a,9031,a(flip),b,9515,a)]. 9519 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,9004,a(flip),b,9515,a)]. 9520 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(706(a,1),9518(a,1,2))]. 9521 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9519(a,1),5190(a,2,1)),flip(a)]. 9522 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9519(a,1),6512(a,1,1,1)),flip(a)]. 9523 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5334(a,1),9224(a,1,2))]. 9524 K(x,L(x * (y \ z),x \ 1,y) \ 1) = K(x,z \ (y * (x \ 1))). [hyper(66,a,6636,a(flip),b,9225,a),flip(a)]. 9525 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(90(a,1),9225(a,1,1,2,2)),flip(a)]. 9526 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,9241,a)]. 9527 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9241(a,1),7399(a,1,1))]. 9528 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9241(a,1),7411(a,1,1))]. 9529 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(9241(a,1),7941(a,1,2))]. 9530 K(x,T(L(y,z,L(x,u,w)) \ 1,v5)) = K(x,T(y \ 1,v5)). [hyper(66,a,8902,a(flip),b,9526,a)]. 9531 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9526,a)]. 9532 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,8805,a(flip),b,9531,a),flip(a)]. 9534 K(x,(L(x,y,z) * u) / (L(x,y,z) * (u * w))) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,8914,a(flip),b,9532,a)]. 9535 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9532(a,1,2,2)),flip(a)]. 9536 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6756,a,9242,a),flip(a)]. 9537 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(519,a,9242,a),flip(a)]. 9538 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(445,a,9242,a)]. 9539 ((x / y) * R(y,z,y)) * K(y,u) = R(y,z,y) * ((y \ x) * K(y,u)). [para(9207(a,1),9242(a,1,1))]. 9540 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9538,a)]. 9541 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(128,a,9537,a)]. 9543 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(9266(a,1),9264(a,1,1)),flip(a)]. 9544 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) / (y * ((1 / x) / y)) = (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)). [para(7173(a,1),9269(a,1,2))]. 9545 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(66,a,8027,a(flip),b,9307,a),flip(a)]. 9546 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5307(a,1),9314(a,1,1))]. 9547 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(285,a,5799,a(flip),b,9546,a),flip(a)]. 9548 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(66,a,6754,a,b,9547,a)]. 9549 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9325(a,2),1416(a,2,1,2))]. 9550 K(x,T(y,z) \ K(z,u)) = T(K(x,y \ K(z,u)),z). [hyper(66,a,6562,a(flip),b,9331,a),flip(a)]. 9551 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(66,a,5002,a(flip),b,9348,a)]. 9552 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(16(a,1),9551(a,1,1,1,2)),flip(a)]. 9553 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6385(a,2),9388(a,2,2,2)),flip(a)]. 9554 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(8227,a,9406,a)]. 9555 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(7953,a,9554,a)]. 9556 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(7940(a,1),9555(a,2,1))]. 9558 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(9436(a,2),7411(a,1))]. 9559 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(285,a,7884,a(flip),b,9463,a),flip(a)]. 9560 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(37,a,9149,a,b,9506,a)]. 9562 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9506(a,1),8141(a,2,1))]. 9563 K((K(x,(y / L(z,u,w)) \ 1) * L(z,u,w)) / y,z) = K((x * (1 / (y / L(z,u,w)))) / x,z). [para(5696(a,1),9514(a,2,1))]. 9564 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1614(a,2),9516(a,1,2))]. 9565 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(285,a,32,a,b,9521,a),flip(a)]. 9566 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(27(a,2),9523(a,1,2,2)),flip(a)]. 9567 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7563,a,9527,a)]. 9568 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9567,a)]. 9569 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9567,a)]. 9570 K((L(x,y,z) \ u) \ w,x) = K(u \ (L(x,y,z) * w),x). [hyper(66,a,6663,a(flip),b,9567,a),flip(a)]. 9571 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(124,a,9567,a(flip),b,104,a),flip(a)]. 9572 K((L(x,y,z) \ 1) \ u,x) = K(L(x,y,z) * u,x). [para(452(a,1),9569(a,1,1)),flip(a)]. 9573 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4206(a,1),9569(a,1,1))]. 9575 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(9552(a,1),8605(a,1,2,1))]. 9576 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(9552(a,1),8700(a,1,2,2))]. 9577 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(14(a,1),9576(a,1,2,2,1,1))]. 9578 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(122,a,9565,a(flip),b,5529,a),flip(a)]. 9579 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9565(a,1),9094(a,1,1,2)),flip(a)]. 9580 K((L(x,y,z) \ x) \ u,x) = K(L(x,y,z) * (x \ u),x). [para(1240(a,1),9570(a,2,1))]. 9581 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(285,a,9445,a(flip),b,9135,a),flip(a)]. 9582 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(285,a,6596,a(flip),b,9135,a),flip(a)]. 9584 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(9582(a,2),6542(a,1))]. 9586 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9250,a,6644,a)]. 9587 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(66,a,8088,a(flip),b,9586,a),flip(a)]. 9588 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(66,a,8014,a(flip),b,9587,a)]. 9589 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(66,a,9476,a,b,9588,a)]. 9590 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(15(a,1),9588(a,1,2,1)),flip(a)]. 9591 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(66,a,9479,a,b,9589,a)]. 9592 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(66,a,8131,a,b,9590,a)]. 9593 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(16(a,1),9592(a,1,2,2))]. 9594 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(66,a,8075,a,b,9593,a)]. 9595 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [hyper(124,a,9593,a(flip),b,5125,a(flip))]. 9596 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(9593(a,1),7399(a,1,1,2))]. 9597 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [hyper(8426,a,9594,a)]. 9598 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5180,a,9595,a),flip(a)]. 9599 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(285,a,8675,a(flip),b,9598,a),flip(a)]. 9600 T(x,(x * y) / (x * z)) = T(x,y / z). [para(14(a,1),9599(a,1,2,1)),flip(a)]. 9601 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(15(a,1),9600(a,1,2,2))]. 9602 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(66,a,9482,a,b,9601,a)]. 9603 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7411,a,9596,a),flip(a)]. 9605 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9268(a,1),5562(a,1,1,2))]. 9606 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(8136(a,1),9268(a,2,1))]. 9607 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(285,a,4999,a(flip),b,9303,a),flip(a)]. 9608 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9369(a,1),7860(a,1,1)),flip(a)]. 9610 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [hyper(285,a,7024,a(flip),b,9497,a),flip(a)]. 9611 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(9610(a,1),7531(a,1,1,2)),flip(a)]. 9612 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [hyper(285,a,7531,a(flip),b,9611,a),flip(a)]. 9613 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(5294(a,1),9612(a,1,3)),flip(a)]. 9614 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(8080(a,1),9612(a,1,3)),flip(a)]. 9615 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4932(a,2),9613(a,1,3))]. 9616 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(9614(a,1),1191(a,1,1,1)),flip(a)]. 9617 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(9584,a,9581,a),flip(a)]. 9619 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(15(a,1),9617(a,1,2,2))]. 9620 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(15(a,1),9619(a,1,2,1,2))]. 9621 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(285,a,6592,a(flip),b,9620,a),flip(a)]. 9622 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(14(a,1),9621(a,1,2,1,1))]. 9623 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(66,a,9445,a,b,9622,a)]. 9624 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(15(a,1),9623(a,1,2,1)),flip(a)]. 9625 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(9624(a,1),5918(a,1,2,1,1))]. 9626 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(15(a,1),9607(a,1,2,2)),flip(a)]. 9627 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(285,a,5805,a(flip),b,9062,a),flip(a)]. 9628 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(452(a,1),9627(a,1,1)),flip(a)]. 9629 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(66,a,6691,a(flip),b,9628,a),flip(a)]. 9631 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(9063(a,2),7487(a,1))]. 9632 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(66,a,8354,a(flip),b,9136,a)]. 9633 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(66,a,7934,a(flip),b,9632,a),flip(a)]. 9634 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(66,a,8938,a,b,9284,a)]. 9635 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(285,a,417,a(flip),b,9323,a),flip(a)]. 9636 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(9327(a,1),7436(a,1,1)),flip(a)]. 9637 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(285,a,7437,a(flip),b,9636,a),flip(a)]. 9638 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(285,a,7153,a(flip),b,9637,a),flip(a)]. 9639 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(285,a,6392,a(flip),b,9356,a),flip(a)]. 9640 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(285,a,7802,a,b,9639,a),flip(a)]. 9641 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(14(a,1),9640(a,2,2))]. 9642 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(66,a,8758,a(flip),b,9357,a)]. 9644 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9642(a,1),8428(a,1))]. 9645 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(37,a,9416,a,b,9370,a(flip))]. 9647 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(15(a,1),9645(a,1,2,1)),flip(a)]. 9648 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9645(a,1),7399(a,1,1,2)),flip(a)]. 9649 K(x,(x * (y \ z)) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,9103,a,b,9647,a)]. 9650 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(90(a,1),9647(a,1,2,2)),flip(a)]. 9651 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(9647(a,1),5977(a,1,1)),flip(a)]. 9652 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(7304(a,1),9647(a,1,2,1)),flip(a)]. 9653 K(x,L(x * (y \ z),x \ 1,u) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,7584,a,b,9649,a)]. 9654 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(285,a,7399,a(flip),b,9648,a),flip(a)]. 9655 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(15(a,1),9654(a,1,1,1)),flip(a)]. 9656 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),9654(a,1,1,1))]. 9657 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,9050,a,b,9655,a)]. 9658 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9655(a,1),5302(a,2,2,2)),flip(a)]. 9659 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,6986,a,b,9657,a)]. 9661 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(9650(a,2),5766(a,1))]. 9662 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5304,a,9658,a),flip(a)]. 9663 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,9133,a,b,9662,a)]. 9664 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,7586,a,b,9663,a)]. 9665 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(66,a,8015,a(flip),b,9401,a)]. 9666 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(66,a,8832,a(flip),b,9665,a),flip(a)]. 9667 K((x * (y * T(z,u))) / w,T(z,v5)) = K((x * (y * z)) / w,T(z,v5)). [para(6322(a,1),9486(a,1,1,1,2))]. 9668 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(285,a,8136,a(flip),b,9566,a),flip(a)]. 9669 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(66,a,8866,a(flip),b,9668,a)]. 9671 K(x,K(y \ x,y) * z) = K(x,z). [hyper(66,a,5336,a(flip),b,9669,a),flip(a)]. 9673 K(x * y,K(y,x) * z) = K(x * y,z). [para(14(a,1),9671(a,1,2,1,1))]. 9674 K(x,K(y,y \ x) * z) = K(x,z). [para(5360(a,1),9671(a,1,2)),flip(a)]. 9675 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5737(a,1),9671(a,1,2))]. 9676 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5749(a,1),9671(a,1,2)),flip(a)]. 9677 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(9671(a,1),7460(a,1,1,2))]. 9678 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9674(a,1),5146(a,1,1))]. 9679 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9673(a,1),5150(a,1,1,2))]. 9680 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(87(a,1),9675(a,1,2,1)),flip(a)]. 9681 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9679(a,1),6315(a,1,2)),flip(a)]. 9682 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(604(a,1),9629(a,1,2)),flip(a)]. 9683 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5775,a,9678,a)]. 9684 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4141,a,9683,a)]. 9685 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(9684(a,1),218(a,1,2,2)),flip(a)]. 9686 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(9233(a,1),8206(a,1,2)),flip(a)]. 9688 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9365(a,1),647(a,1))]. 9689 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(66,a,4413,a(flip),b,9420,a),flip(a)]. 9690 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(8049,a,9689,a)]. 9692 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(9690(a,1),5649(a,1,1,2))]. 9693 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9690(a,1),7399(a,1,1,2))]. 9694 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(7411,a,9693,a)]. 9695 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5785(a,2),9507(a,2,1,2))]. 9696 K(x,y \ (z * (x \ 1))) = K(x,y \ (x \ z)). [hyper(66,a,9653,a(flip),b,9524,a),flip(a)]. 9698 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9560(a,1),441(a,1,2,2))]. 9699 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,9158,a)]. 9700 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(9189(a,1),2181(a,2,2))]. 9701 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6528(a,1),9209(a,1,1))]. 9702 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5150(a,1),9294(a,1,1)),flip(a)]. 9703 R(x,y,x * K(z,x)) = R(x,y,x). [para(5150(a,1),9702(a,1,3)),flip(a)]. 9704 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5193(a,1),9703(a,1,3))]. 9705 (x * (((y * x) / y) \ z)) / x = ((y * x) / y) \ (x * (z / x)). [hyper(66,a,8256,a(flip),b,9340,a)]. 9706 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5545(a,1),9364(a,1,2)),flip(a)]. 9707 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8015(a,1),9411(a,1,2,2)),flip(a)]. 9708 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(123,a,9501,a(flip),b,9419,a(flip))]. 9709 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(66,a,7541,a,b,9708,a)]. 9711 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9107(a,2),9474(a,1,1,2))]. 9712 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(285,a,4161,a(flip),b,9487,a),flip(a)]. 9713 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(285,a,4160,a(flip),b,9488,a),flip(a)]. 9714 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(14(a,1),9713(a,1,1,2,1)),flip(a)]. 9715 K(1 / x,L((1 / x) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(285,a,5978,a(flip),b,9525,a),flip(a)]. 9716 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(9302(a,1),9562(a,1,1))]. 9717 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(14(a,1),9641(a,1,2))]. 9718 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(66,a,8892,a(flip),b,9717,a)]. 9720 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(285,a,9647,a(flip),b,9652,a),flip(a)]. 9721 K((x * (T(y,z) * u)) / w,T(y,z)) = K((x * (u * y)) / w,T(y,z)). [hyper(66,a,9484,a(flip),b,9667,a)]. 9722 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(66,a,9428,a(flip),b,9711,a),flip(a)]. 9724 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(66,a,8857,a(flip),b,9722,a),flip(a)]. 9727 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,7264,a(flip),b,9715,a)]. 9728 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(5766,a,9727,a)]. 9729 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4586(a,1),9361(a,1,2))]. 9730 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(135,a,9729,a)]. 9731 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(9729(a,1),4182(a,1,2)),flip(a)]. 9732 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1152(a,1),9730(a,1,1,2))]. 9733 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(285,a,9373,a,b,9732,a),flip(a)]. 9734 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4011,a,9733,a)]. 9735 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(66,a,9731,a,b,9734,a)]. 9737 T(x,y * R(x,z,x)) = T(x,x * y). [para(16(a,1),9735(a,1,2,2)),flip(a)]. 9738 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(285,a,5130,a(flip),b,9737,a),flip(a)]. 9739 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5207,a,9738,a)]. 9740 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(66,a,8222,a,b,9739,a)]. 9741 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(9142,a,9740,a)]. 9743 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9448(a,1),5473(a,1))]. 9744 R(K(x,y / (z / u)),y,u) = K(x,((K(x,w) * y) * u) / z). [hyper(66,a,8996,a(flip),b,9478,a)]. 9746 K(x,((K(x,y) * z) * u) / w) = K(x,(z * u) / w). [hyper(66,a,6102,a(flip),b,9744,a),flip(a)]. 9747 K(x,(((y / x) \ z) * u) / w) = K(x,(((x \ y) \ z) * u) / w). [para(5854(a,1),9746(a,1,2,1,1)),flip(a)]. 9748 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [hyper(7842,a,9747,a),flip(a)]. 9749 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(285,a,7882,a(flip),b,9608,a),flip(a)]. 9750 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(66,a,7884,a,b,9749,a)]. 9751 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7713(a,1,2,1))]. 9752 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(6627(a,1),7843(a,2,2))]. 9753 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [hyper(285,a,7682,a(flip),b,9752,a),flip(a)]. 9754 K(x,T(y * x,x \ 1) \ (x * z)) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [hyper(66,a,9104,a(flip),b,8164,a)]. 9755 (((x * y) / x) \ (y * (z / y))) \ 1 = (((x * y) / x) \ z) \ K(y \ z,y). [para(9705(a,1),8260(a,2,1)),flip(a)]. 9757 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(285,a,5816,a(flip),b,8371,a),flip(a)]. 9758 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(285,a,6840,a(flip),b,9757,a),flip(a)]. 9759 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(66,a,6468,a(flip),b,9758,a)]. 9760 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(285,a,6392,a(flip),b,9759,a),flip(a)]. 9761 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(27(a,2),9760(a,2,2))]. 9762 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(x \ 1,y),z)) * x. [para(3339(a,1),8418(a,2,1,2,1))]. 9763 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(6126(a,1),8446(a,1,2))]. 9764 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(7539,a,8638,a),flip(a)]. 9767 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(8755(a,1),8105(a,1,2))]. 9768 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(285,a,8780,a(flip),b,8783,a),flip(a)]. 9769 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(90(a,1),9768(a,1,2,1,1)),flip(a)]. 9770 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(118(a,1),9768(a,1,2)),flip(a)]. 9771 K(x,T((y * K(z,u)) \ 1,w)) = K(x,T(K(u,z) / y,w)). [para(7399(a,1),9768(a,1,2,1,1)),flip(a)]. 9772 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(66,a,8906,a(flip),b,9770,a),flip(a)]. 9773 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(9770(a,1),7682(a,1,2))]. 9774 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(66,a,9770,a(flip),b,9769,a)]. 9775 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(285,a,5699,a,b,9773,a)]. 9776 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(90(a,1),9773(a,1,2,2,2)),flip(a)]. 9777 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(38,a,8120,a,b,9776,a),flip(a)]. 9780 K(x,T(T(y * K(z,u),w) \ 1,v5)) = T(K(x,T(K(u,z) / y,v5)),w). [para(9771(a,1),8712(a,2,1))]. 9781 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6564,a,9775,a)]. 9782 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(9781(a,1),8052(a,1,1,2))]. 9783 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8054,a,9782,a),flip(a)]. 9784 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4105(a,1),8835(a,1,1))]. 9785 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(285,a,8701,a(flip),b,9784,a),flip(a)]. 9786 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u * (x / y))). [hyper(8547,a,8976,a)]. 9787 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(285,a,9261,a(flip),b,9255,a),flip(a)]. 9789 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9345(a,1,1,2))]. 9790 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9789(a,2),7531(a,1,1))]. 9791 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(285,a,5724,a(flip),b,9377,a),flip(a)]. 9792 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(994(a,1),9791(a,1,2,2)),flip(a)]. 9793 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(8051(a,1),9791(a,1,2,2))]. 9794 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(7395(a,1),9793(a,1,2,2)),flip(a)]. 9795 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(285,a,8831,a(flip),b,9794,a),flip(a)]. 9796 K(T(x,y),z \ (T(x,y) \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9696,a(flip),b,9795,a)]. 9797 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9792,a(flip),b,9796,a)]. 9799 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,9797,a),flip(a)]. 9800 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(66,a,7206,a(flip),b,9799,a),flip(a)]. 9801 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(355(a,1),9800(a,1,2,2))]. 9802 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(14(a,1),9712(a,1,1,2,1))]. 9803 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(14(a,1),9714(a,1,1,2,1)),flip(a)]. 9804 (((x * y) / x) \ z) \ K(y \ z,y) = (T(y,x) * (y \ (z / y))) \ 1. [para(4292(a,1),9755(a,1,1)),flip(a)]. 9805 (((x * y) / x) \ z) \ K(y \ z,y) = (K(y,x) * (z / y)) \ 1. [para(5153(a,1),9804(a,2,1))]. 9806 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ K(T(x,z) \ 1,y)) * x. [para(6080(a,2),9762(a,2,1,2))]. 9807 (1 / x) \ T(T(x \ 1,y),K(y,z)) = (x \ K(T(x,z) \ 1,y)) * x. [para(421(a,1),9806(a,1,2))]. 9809 (x \ K(T(x,y) \ 1,z)) * x != u | T(T(x \ 1,z),K(z,y)) * x = u. [para(9807(a,1),6790(a,1))]. 9810 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4154(a,1),7668(a,2,1,2))]. 9811 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,9810,a),flip(a)]. 9812 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(66,a,7741,a(flip),b,7739,a)]. 9813 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,9699,a(flip),b,9812,a),flip(a)]. 9815 K((L(x,y,z) * u) / w,T(x,u)) = K(w \ (L(x,y,z) * u),x). [hyper(66,a,7694,a(flip),b,9813,a),flip(a)]. 9816 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(66,a,5319,a(flip),b,9813,a),flip(a)]. 9817 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9813(a,1,2,2)),flip(a)]. 9818 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9813(a,1),7707(a,1,2,2)),flip(a)]. 9819 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(186(a,1),9817(a,2,2))]. 9820 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7823,a,9816,a)]. 9821 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9820(a,1),8849(a,1,2))]. 9822 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,8271,a),flip(a)]. 9823 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(66,a,7832,a(flip),b,8272,a)]. 9825 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9823,a),flip(a)]. 9826 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8283(a,1),9825(a,1,2))]. 9827 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(285,a,5805,a(flip),b,8296,a),flip(a)]. 9828 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5360(a,1),9827(a,1,1)),flip(a)]. 9829 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5360(a,1),9828(a,1,1)),flip(a)]. 9830 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5973(a,1),9828(a,1,1,1))]. 9831 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [hyper(124,a,9829,a(flip),b,5125,a(flip))]. 9832 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6375,a,9831,a),flip(a)]. 9833 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(9832(a,2),7436(a,1,1))]. 9834 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(15(a,1),9833(a,1,1,1)),flip(a)]. 9835 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(285,a,5119,a,b,9834,a),flip(a)]. 9836 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8006(a,1),9835(a,1,2))]. 9837 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7392(a,1),9836(a,1,2)),flip(a)]. 9838 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9837(a,1),8648(a,1,1,2))]. 9839 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7943(a,1),8388(a,1,1,3))]. 9840 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5334(a,1),9839(a,2,2))]. 9841 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5599(a,1),8519(a,1,2)),flip(a)]. 9842 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(285,a,8028,a(flip),b,9841,a),flip(a)]. 9843 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(32(a,2),9842(a,2,1))]. 9844 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(9082,a,9843,a)]. 9846 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(66,a,8550,a(flip),b,9844,a),flip(a)]. 9847 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(66,a,8746,a(flip),b,9846,a)]. 9848 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(66,a,5329,a,b,9847,a)]. 9850 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,9031,a(flip),b,8697,a),flip(a)]. 9852 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,8696,a(flip),b,9850,a)]. 9854 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),9852(a,1,2,2)),flip(a)]. 9855 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(9852(a,1),7399(a,1,1,2)),flip(a)]. 9856 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(545(a,1),9854(a,1,2)),flip(a)]. 9857 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(285,a,7399,a(flip),b,9855,a),flip(a)]. 9858 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5143(a,1),9857(a,1,1,2)),flip(a)]. 9859 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(9858(a,1),5722(a,1,2,1,2)),flip(a)]. 9860 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(285,a,5722,a(flip),b,9859,a),flip(a)]. 9862 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8010,a(flip),b,8834,a),flip(a)]. 9864 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(6570(a,1),8871(a,1,1,2))]. 9865 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(5125(a,2),9864(a,1,1)),flip(a)]. 9866 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(6691(a,1),9865(a,1,1))]. 9867 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) = K(L(y,z,u) * (x \ 1),y). [hyper(285,a,3246,a(flip),b,9866,a),flip(a)]. 9868 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(285,a,6081,a(flip),b,8916,a),flip(a)]. 9869 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(66,a,9195,a(flip),b,9868,a),flip(a)]. 9871 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6322(a,1),9869(a,1,2))]. 9872 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7392(a,1),9869(a,1,2)),flip(a)]. 9873 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7702(a,1),9869(a,1,2)),flip(a)]. 9874 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(271(a,1),9872(a,1,2))]. 9875 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5981(a,1),9872(a,1,2,2))]. 9876 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(66,a,8392,a(flip),b,9874,a)]. 9877 T(K(x,y \ (x \ z)),z) = T(K(x,y \ (x \ z)),y). [hyper(66,a,8065,a(flip),b,9876,a),flip(a)]. 9878 T(K(x,y),x) != z | K(x,y) = z. [para(9876(a,1),192(a,1))]. 9879 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9876(a,1),8360(a,1,1))]. 9881 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2746(a,1),9878(a,1))]. 9884 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(5836(a,2),9881(a,1))]. 9885 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(7674(a,2),9881(a,1,1))]. 9887 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(285,a,8393,a(flip),b,9871,a),flip(a)]. 9888 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(9887(a,1),7324(a,1,2)),flip(a)]. 9889 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(285,a,5344,a(flip),b,9888,a),flip(a)]. 9890 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [hyper(124,a,9889,a(flip),b,27,a(flip))]. 9891 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(103(a,1),9875(a,1,2))]. 9893 T(K(x,L(x \ y,x,z)),z) = T(K(x,z \ (x \ (z * y))),z * y). [para(9453(a,2),9877(a,2,1)),flip(a)]. 9894 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(9891(a,1),8495(a,1,1)),flip(a)]. 9895 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7681(a,2),9894(a,2,1))]. 9897 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7756(a,1),9895(a,1,2,2)),flip(a)]. 9898 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(9122(a,2),9895(a,1,2,2)),flip(a)]. 9899 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(7493,a,9890,a),flip(a)]. 9900 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5518(a,2),9899(a,1,2))]. 9901 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(66,a,8868,a(flip),b,9900,a)]. 9902 T(K(x,y \ (x \ (y * z))),y * z) = K(x,L(T(x \ z,y),x,y)). [hyper(66,a,7705,a,b,9893,a),flip(a)]. 9903 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(8930,a,9897,a)]. 9904 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(285,a,6259,a,b,9903,a),flip(a)]. 9905 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(66,a,6219,a(flip),b,9904,a),flip(a)]. 9906 K(x,T(y \ (x \ (y * z)),y * z)) = K(x,L(T(x \ z,y),x,y)). [hyper(8428,a,9902,a)]. 9907 K(x,L(T(x \ y,z),x,z)) = K(x,(z * y) / (z * x)). [hyper(66,a,9597,a(flip),b,9906,a),flip(a)]. 9908 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(285,a,5320,a(flip),b,8927,a),flip(a)]. 9909 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(6133(a,1),9908(a,1,1))]. 9910 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(7761(a,1),9909(a,1,1,1,1))]. 9911 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(13(a,1),9910(a,1,1))]. 9912 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(66,a,32,a,b,9911,a)]. 9913 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(66,a,8053,a(flip),b,9912,a),flip(a)]. 9914 R(K(x,T(T(y,z),z * u)),z,u) = K(x,((z / y) * u) \ (z * u)). [para(7681(a,2),9912(a,1,1))]. 9915 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(66,a,8786,a(flip),b,9914,a)]. 9916 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(285,a,9913,a(flip),b,9915,a),flip(a)]. 9917 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8216(a,1),8935(a,1,1,2))]. 9918 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9917,a),flip(a)]. 9920 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(9918(a,1),6960(a,2,2,2,1,1))]. 9921 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(285,a,153,a(flip),b,8944,a),flip(a)]. 9922 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(285,a,5169,a,b,9921,a),flip(a)]. 9924 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(285,a,7881,a,b,9922,a),flip(a)]. 9925 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(66,a,5803,a(flip),b,9350,a),flip(a)]. 9926 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(285,a,4131,a(flip),b,9390,a),flip(a)]. 9927 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(116(a,1),9606(a,1,1,2,2,1))]. 9928 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(285,a,8725,a(flip),b,9927,a),flip(a)]. 9929 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(285,a,7995,a(flip),b,7737,a),flip(a)]. 9930 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(285,a,5704,a(flip),b,9929,a),flip(a)]. 9932 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(285,a,4596,a(flip),b,9930,a),flip(a)]. 9933 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4318(a,1),9932(a,1,2))]. 9934 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(124,a,14,a(flip),b,7850,a)]. 9935 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9934(a,1),6879(a,1,2))]. 9936 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),8033(a,1,2,2,1))]. 9938 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [hyper(66,a,8015,a(flip),b,8096,a)]. 9939 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(125,a,8471,a),flip(a)]. 9940 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4830(a,1),9939(a,1,1)),flip(a)]. 9941 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,6194,a,b,9940,a)]. 9942 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(32(a,2),8545(a,1,2,2,2,1))]. 9943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(285,a,5804,a(flip),b,8586,a),flip(a)]. 9944 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(285,a,8602,a(flip),b,8603,a),flip(a)]. 9946 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(87(a,1),9944(a,1,1,2,1,2,1))]. 9948 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8713,a(flip),b,9946,a)]. 9949 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8251,a(flip),b,9948,a)]. 9950 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(285,a,8523,a(flip),b,8762,a),flip(a)]. 9951 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(597(a,1),9950(a,1,2,1,1)),flip(a)]. 9952 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5076(a,1),9951(a,1,2,1)),flip(a)]. 9953 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7681(a,2),9952(a,2,2))]. 9955 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(285,a,8780,a(flip),b,8785,a),flip(a)]. 9956 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(5130(a,2),9955(a,1,2,1,2))]. 9957 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(7687(a,1),9955(a,1,2,1,2,2))]. 9958 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(8650(a,1),9956(a,1,2,1))]. 9959 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(66,a,9957,a(flip),b,9958,a),flip(a)]. 9961 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(5073(a,2),9959(a,1,2,1,1))]. 9962 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [hyper(285,a,8752,a(flip),b,9961,a),flip(a)]. 9963 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(66,a,8906,a(flip),b,8909,a),flip(a)]. 9964 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8199(a,1),9148(a,1,1,1,2)),flip(a)]. 9965 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1770(a,1),9964(a,2,1))]. 9966 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(285,a,8027,a(flip),b,9965,a),flip(a)]. 9967 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(7940(a,1),9215(a,2,1))]. 9968 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(8781,a,9308,a),flip(a)]. 9969 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(280(a,2),9968(a,1,2,1,2)),flip(a)]. 9970 K(x * (y \ 1),T(y \ 1,z)) = K(y \ x,T(y \ 1,z)). [hyper(6059,a,9380,a),flip(a)]. 9971 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6121,a,9970,a)]. 9972 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(285,a,8906,a(flip),b,9971,a),flip(a)]. 9973 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(66,a,8906,a(flip),b,9972,a)]. 9974 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(66,a,9963,a(flip),b,9973,a)]. 9975 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(285,a,8038,a(flip),b,9974,a),flip(a)]. 9976 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(66,a,8038,a(flip),b,9975,a)]. 9977 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(66,a,8552,a,b,9976,a)]. 9978 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(285,a,8780,a(flip),b,9433,a),flip(a)]. 9979 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8080(a,1),9978(a,1,2,1,1)),flip(a)]. 9980 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(4202(a,1),9505(a,1,2))]. 9981 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(285,a,8264,a(flip),b,9980,a),flip(a)]. 9984 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(285,a,5785,a,b,9981,a),flip(a)]. 9985 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(223(a,1),9579(a,2,1))]. 9986 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(66,a,9564,a(flip),b,9985,a),flip(a)]. 9987 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7908(a,1),9677(a,1,1,1))]. 9988 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7682(a,1),9818(a,2,2))]. 9989 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9567(a,1),9988(a,1,1)),flip(a)]. 9990 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(285,a,152,a(flip),b,9989,a),flip(a)]. 9991 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5361(a,1),9989(a,1,2)),flip(a)]. 9993 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9990(a,1),1320(a,1,1,2,1))]. 9994 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(66,a,9529,a(flip),b,9991,a)]. 9995 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7953,a,9994,a)]. 9996 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(285,a,7914,a,b,9995,a)]. 9997 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(37,a,7862,a,b,9996,a)]. 9998 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(285,a,7881,a,b,9997,a),flip(a)]. 9999 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(14(a,1),9942(a,1,2))]. 10001 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(17(a,1),9967(a,1,2)),flip(a)]. 10002 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(66,a,9556,a,b,10001,a)]. 10004 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(6537(a,1),10002(a,1,1))]. 10005 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7936(a,1),9987(a,1,1,1))]. 10006 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(7900(a,1),10005(a,1,1))]. 10007 K(T(x,y),z) * (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [hyper(5464,a,10006,a)]. 10008 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [para(7761(a,1),10007(a,1,1))]. 10009 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(5666,a,10008,a)]. 10010 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(66,a,8964,a(flip),b,10009,a),flip(a)]. 10011 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5322(a,1),10010(a,2,1))]. 10012 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5322(a,1),10011(a,1,1,1))]. 10013 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6270,a,10012,a),flip(a)]. 10014 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(10013(a,2),215(a,1,2,2))]. 10015 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7761(a,1),8055(a,2,1,2))]. 10016 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(17(a,1),8623(a,1,2))]. 10017 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(66,a,9000,a(flip),b,10016,a)]. 10018 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(32(a,2),8723(a,1,1,2))]. 10019 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5817(a,1),8769(a,1,1)),flip(a)]. 10020 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(14(a,1),10019(a,2,1,1,2,1))]. 10021 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(8768(a,1),10020(a,1,1)),flip(a)]. 10022 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(285,a,9720,a(flip),b,9458,a),flip(a)]. 10023 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5905,a,9686,a),flip(a)]. 10024 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10023(a,1),4174(a,1,2))]. 10026 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10024(a,1),7479(a,1))]. 10027 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8880(a,1),10015(a,2,1))]. 10028 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(285,a,9840,a(flip),b,10027,a),flip(a)]. 10029 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7761(a,1),10028(a,1,1,2))]. 10030 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7997(a,1),10029(a,1,2))]. 10031 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8815(a,2),10030(a,1,1))]. 10032 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(9979(a,1),10017(a,1,1))]. 10033 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(66,a,10016,a(flip),b,10032,a),flip(a)]. 10035 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7940(a,1),10018(a,1,2))]. 10036 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3207(a,1),10035(a,1,2))]. 10038 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10036(a,1),5720(a,1,1,2))]. 10039 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5595(a,1),10038(a,1,1))]. 10040 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(66,a,6925,a(flip),b,10039,a),flip(a)]. 10041 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(8782(a,1),8341(a,1,1))]. 10042 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(66,a,8339,a(flip),b,10041,a),flip(a)]. 10043 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8028(a,1),10042(a,1,1))]. 10044 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5149(a,2),10043(a,1,2,1))]. 10045 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7718(a,2),10044(a,2,1,2)),flip(a)]. 10046 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(285,a,5794,a(flip),b,10045,a),flip(a)]. 10047 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(8407(a,1),10046(a,2,2))]. 10048 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7700(a,1),10047(a,1,1,2,2))]. 10049 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(8771(a,1),10048(a,1,1))]. 10050 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6333,a,10049,a),flip(a)]. 10051 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(66,a,7835,a,b,10050,a)]. 10052 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(224,a,6311,a,b,10051,a)]. 10053 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(7994(a,1),10052(a,1,1,2)),flip(a)]. 10054 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(8013(a,1),10052(a,1,1,2)),flip(a)]. 10055 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(66,a,8409,a(flip),b,10053,a),flip(a)]. 10056 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(66,a,9127,a(flip),b,10054,a),flip(a)]. 10057 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(66,a,10053,a,b,10056,a)]. 10058 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(10057(a,1),8772(a,1,2)),flip(a)]. 10059 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(285,a,8770,a(flip),b,10058,a),flip(a)]. 10060 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3978(a,1),10059(a,1,2))]. 10061 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(66,a,9130,a,b,10060,a)]. 10062 T(K(x \ T(y,z),u),T(y,x)) = T(K(x \ T(y,z),u),y). [hyper(66,a,9447,a(flip),b,10060,a),flip(a)]. 10063 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(285,a,8406,a,b,10061,a)]. 10064 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(285,a,5130,a(flip),b,10061,a),flip(a)]. 10065 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(66,a,8562,a(flip),b,10061,a),flip(a)]. 10066 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6592(a,1),10061(a,1,2))]. 10067 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5207,a,10064,a)]. 10068 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(10064(a,2),5180(a,1))]. 10069 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z)). [hyper(66,a,8767,a,b,10067,a)]. 10070 K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u)). [hyper(66,a,9386,a(flip),b,10067,a)]. 10071 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(66,a,8247,a(flip),b,10067,a)]. 10072 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(66,a,8246,a(flip),b,10067,a)]. 10073 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,u),z)). [para(28(a,1),10067(a,1,2))]. 10074 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6592(a,1),10067(a,1,2))]. 10075 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(6600(a,1),10067(a,1,2)),flip(a)]. 10076 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(10067(a,1),7682(a,1,2))]. 10077 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(198(a,1),10065(a,1,2)),flip(a)]. 10078 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(168(a,1),10071(a,1,2)),flip(a)]. 10079 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(168(a,1),10071(a,2,2))]. 10080 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(169(a,1),10071(a,1,2)),flip(a)]. 10081 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(8434,a,10074,a),flip(a)]. 10082 K(x,T(y,z \ L(y,u,w))) = K(x,T(y,z)). [hyper(285,a,9817,a(flip),b,10074,a),flip(a)]. 10083 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(10074(a,1),8434(a,1))]. 10084 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(285,a,10074,a,b,10081,a),flip(a)]. 10085 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(66,a,7694,a(flip),b,10081,a),flip(a)]. 10086 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(14(a,1),10081(a,1,2,2))]. 10087 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(10081(a,1),8111(a,1,1,2))]. 10090 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10063(a,2),10068(a,1))]. 10092 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(28(a,1),10090(a,1))]. 10093 T(x \ y,K(x,z)) != u | T(y / x,T(x,z)) = u. [para(118(a,1),10090(a,1,1))]. 10095 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,z),u)). [para(28(a,1),10073(a,2,2))]. 10096 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(7681(a,1),10076(a,1,2))]. 10097 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9624(a,1),10084(a,1,2))]. 10098 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(10084(a,1),10083(a,1))]. 10099 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(32(a,2),10085(a,1,2))]. 10100 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(225,a,10096,a)]. 10102 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(37,a,6079,a,b,10096,a)]. 10103 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(285,a,7872,a,b,10100,a)]. 10104 T(K(x,y),z \ K(u,w)) = T(K(x,y),K(w,u) * z). [hyper(66,a,6600,a(flip),b,10100,a),flip(a)]. 10105 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(10100(a,1),3032(a,1,2))]. 10106 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(10100(a,2),7757(a,1))]. 10107 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6594(a,2),10106(a,1))]. 10108 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8001(a,1),10107(a,1))]. 10109 K(x,T(y,(z * (u * y)) \ (z * u))) = K(x,T(y,a(z,u,y))). [para(19(a,2),10097(a,1,2,2)),flip(a)]. 10110 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9443(a,1),10097(a,1,2)),flip(a)]. 10111 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(285,a,6080,a,b,10102,a),flip(a)]. 10112 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(37,a,7872,a,b,10103,a)]. 10113 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(10103(a,1),7873(a,1))]. 10114 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(285,a,7908,a,b,10112,a),flip(a)]. 10115 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(66,a,8656,a,b,10112,a)]. 10116 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(66,a,7908,a,b,10112,a)]. 10117 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(66,a,7921,a(flip),b,10112,a)]. 10118 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5704(a,2),10112(a,1,2))]. 10119 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5708(a,1),10112(a,1,2))]. 10120 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6392(a,1),10112(a,1,2))]. 10121 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6416(a,1),10112(a,1,2))]. 10122 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10114,a)]. 10123 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(66,a,7884,a(flip),b,10114,a)]. 10124 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6392(a,1),10114(a,1,2)),flip(a)]. 10125 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(10114(a,1),8774(a,1,1,1)),flip(a)]. 10126 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(285,a,7884,a(flip),b,10116,a),flip(a)]. 10127 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(66,a,7885,a,b,10116,a)]. 10128 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5967(a,2),10122(a,1,2))]. 10129 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10123,a),flip(a)]. 10130 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(10118(a,1),7957(a,1,1))]. 10131 K(x,K(y,z \ T(y,u))) = K(x,K(y,z)). [hyper(285,a,8196,a(flip),b,10120,a),flip(a)]. 10132 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7589(a,1),10124(a,1,2)),flip(a)]. 10133 K(x,K(y,z)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10131(a,1),7917(a,1,1))]. 10134 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7681(a,2),10105(a,1,2))]. 10135 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(66,a,9272,a(flip),b,10110,a),flip(a)]. 10136 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9270(a,1),10110(a,1,2)),flip(a)]. 10137 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(66,a,8383,a,b,10111,a)]. 10138 (1 / (x * y)) * K(x,y) = K(x,y) * (1 / (x * y)). [para(4193(a,1),10134(a,1,2))]. 10140 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(285,a,6120,a,b,10135,a),flip(a)]. 10142 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,7968,a,b,10136,a)]. 10144 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(66,a,6120,a,b,10140,a)]. 10145 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(14(a,1),10144(a,1,2,2)),flip(a)]. 10146 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(10072(a,2),10098(a,1))]. 10147 K(x \ 1,T(y,K(z,x) * u)) = K(x \ 1,T(y,u)). [hyper(66,a,10069,a(flip),b,10075,a),flip(a)]. 10148 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(10078(a,1),5420(a,1,2))]. 10149 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(10078(a,2),7906(a,2,1))]. 10150 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(10080(a,1),6829(a,1,2))]. 10151 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(66,a,8111,a(flip),b,10087,a),flip(a)]. 10152 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(10066(a,1),10151(a,1,2))]. 10153 T(K(x,y),T(y,z) \ K(y,u)) = K(x,y). [hyper(285,a,7714,a(flip),b,10104,a),flip(a)]. 10154 K(x,y) * (T(y,z) \ K(y,u)) = (T(y,z) \ K(y,u)) * K(x,y). [hyper(124,a,10153,a(flip),b,27,a(flip)),flip(a)]. 10155 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(10112(a,1),10115(a,1,1))]. 10156 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(66,a,8655,a(flip),b,10155,a),flip(a)]. 10157 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7884(a,1),10155(a,1,1))]. 10158 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(66,a,10155,a(flip),b,10157,a),flip(a)]. 10159 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(66,a,8653,a(flip),b,10157,a)]. 10160 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(66,a,8651,a(flip),b,10157,a)]. 10161 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7881,a,b,10158,a)]. 10162 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7042(a,1),10159(a,1,2)),flip(a)]. 10163 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7958,a(flip),b,10161,a),flip(a)]. 10164 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(10121(a,1),7889(a,1,1))]. 10165 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(10123(a,1),10127(a,1,1))]. 10166 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10129(a,1),10127(a,1,1))]. 10167 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(66,a,8742,a,b,10165,a)]. 10168 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10165,a(flip),b,10166,a)]. 10169 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(66,a,8479,a(flip),b,10166,a)]. 10170 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(285,a,7881,a,b,10168,a)]. 10171 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,10123,a(flip),b,10168,a),flip(a)]. 10172 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,7958,a(flip),b,10168,a),flip(a)]. 10173 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(285,a,7881,a,b,10169,a),flip(a)]. 10174 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(66,a,8657,a(flip),b,10169,a)]. 10175 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(10169(a,2),7888(a,1,2))]. 10176 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(268(a,1),10170(a,2,2,2))]. 10177 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [hyper(66,a,8659,a,b,10174,a)]. 10178 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6573(a,1),10128(a,2,2))]. 10179 (K(x,y) * (1 / (x * y))) * y = (1 / (x * y)) * (y * K(x,y)). [para(10138(a,1),7379(a,1,1))]. 10180 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(66,a,10173,a,b,10172,a)]. 10181 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(66,a,8499,a(flip),b,10175,a)]. 10182 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6032(a,1),10177(a,1,2))]. 10183 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6648(a,1),10182(a,1,2)),flip(a)]. 10184 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10168,a,b,10183,a)]. 10185 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(122,a,10148,a(flip),b,5522,a),flip(a)]. 10186 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(10148(a,1),4419(a,1,1)),flip(a)]. 10187 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(122,a,10150,a(flip),b,5522,a),flip(a)]. 10188 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(122,a,10150,a(flip),b,5152,a),flip(a)]. 10189 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(4904(a,1),10117(a,1,2,1)),flip(a)]. 10190 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8654(a,1),10125(a,2,1))]. 10191 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(7908(a,1),10133(a,1,1))]. 10192 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,10097,a(flip),b,10142,a),flip(a)]. 10193 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(7891,a,10164,a),flip(a)]. 10194 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(8138(a,1),10193(a,2,2))]. 10195 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(165(a,1),10194(a,1,2,2,2))]. 10196 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7953,a,10195,a)]. 10197 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6392(a,1),10195(a,1,2))]. 10198 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10195(a,1),10090(a,1))]. 10199 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(285,a,7940,a,b,10196,a),flip(a)]. 10200 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6468(a,1),10196(a,1,2))]. 10201 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [hyper(66,a,8536,a,b,10199,a)]. 10203 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8541,a,10197,a),flip(a)]. 10204 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8537,a,10197,a),flip(a)]. 10205 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [hyper(285,a,8658,a(flip),b,10197,a),flip(a)]. 10206 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(10203(a,1),5178(a,1,2,1))]. 10207 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(10203(a,1),7945(a,1,1))]. 10208 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(122,a,10204,a(flip),b,7401,a)]. 10209 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(285,a,8226,a(flip),b,10200,a),flip(a)]. 10210 T((x / y) \ 1,K(z,x \ y)) = (x / y) \ 1. [hyper(66,a,7746,a(flip),b,10200,a),flip(a)]. 10211 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(10200(a,2),7953(a,1))]. 10212 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(66,a,10055,a,b,10209,a)]. 10213 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10212(a,1),5240(a,1,1))]. 10214 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(8152(a,1),10213(a,1,1))]. 10215 T((x / y) \ 1,z / (x \ y)) = T((x / y) \ 1,(x \ y) \ z). [para(10210(a,1),10213(a,1,1))]. 10216 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [hyper(66,a,10201,a(flip),b,10205,a),flip(a)]. 10217 x \ T(y * x,K(y,z)) = T(T(y,K(x,z)),x). [para(10216(a,1),4927(a,1,1)),flip(a)]. 10219 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(10217(a,2),10092(a,1))]. 10220 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(285,a,8041,a(flip),b,10207,a),flip(a)]. 10221 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7286(a,1),10208(a,1,1,1,1))]. 10222 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(8315,a,10220,a)]. 10223 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7884(a,1),10222(a,1,1))]. 10224 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7879(a,1),10223(a,1,1))]. 10225 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(66,a,8886,a(flip),b,10167,a)]. 10226 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(285,a,5190,a,b,10190,a),flip(a)]. 10228 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(66,a,10196,a(flip),b,10226,a),flip(a)]. 10230 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9718(a,2),10108(a,1))]. 10231 K(x,T(y,L(y,z,u) \ 1)) = K(x,T(y,a(u,z,y))). [para(6596(a,1),10109(a,1,2))]. 10232 K(x,T(y,a(z,u,y))) = K(x,y). [hyper(66,a,9819,a(flip),b,10231,a),flip(a)]. 10234 T(x,T(y,a(z,u,y))) = x * K(x,y). [hyper(124,a,10232,a(flip),b,5125,a(flip)),flip(a)]. 10235 T(x,T(y,a(z,u,y))) = T(x,y). [hyper(285,a,5130,a,b,10234,a),flip(a)]. 10236 (x * T(y,a(z,u,y))) / T(x,y) = T(y,a(z,u,y)). [para(10235(a,1),179(a,1,2))]. 10237 T(x,T(a(y,z,x),u)) = T(x,a(y,z,x)). [hyper(8364,a,10236,a)]. 10238 T(T(x,y),T(a(z,u,x),w)) = T(T(x,a(z,u,x)),y). [para(10237(a,1),28(a,1,1)),flip(a)]. 10239 K(x,a(y,z,x)) * T(x,u) = T(T(x,a(y,z,x)),u). [hyper(8287,a,10238,a)]. 10240 T(x,T(y,a(z,u,x))) = T(x,y). [hyper(37,a,7825,a,b,10239,a)]. 10241 T(x,T(y,a(z,u,x))) = x * K(x,y). [hyper(285,a,5130,a(flip),b,10240,a),flip(a)]. 10242 K(x,T(y,a(z,u,x))) = K(x,y). [hyper(5207,a,10241,a)]. 10244 K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y). [para(10242(a,1),7682(a,1,2)),flip(a)]. 10245 K(x,a(y,z,x) / u) != w | K(x,u \ a(y,z,x)) = w. [para(10242(a,1),7708(a,1))]. 10246 T(a(x,y,z),K(z,u)) = a(x,y,z). [hyper(225,a,10244,a)]. 10248 a(x \ 1,x / y,y) = a(x \ 1,y \ x,y). [hyper(66,a,8983,a(flip),b,10246,a),flip(a)]. 10250 a(x \ 1,y \ x,y) / y = (1 / x) * (x / y). [hyper(123,a,10248,a(flip),b,3938,a)]. 10251 a((x * y) \ 1,(x * y) / x,x) = a((x * y) \ 1,y,x). [para(14(a,1),10248(a,2,2))]. 10252 (1 / (x * y)) * ((x * y) / x) = a((x * y) \ 1,y,x) / x. [para(14(a,1),10250(a,1,1,2)),flip(a)]. 10253 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(66,a,10184,a(flip),b,10176,a)]. 10254 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(66,a,497,a,b,10185,a)]. 10255 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(223(a,1),10185(a,1,1,1))]. 10256 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(10187(a,1),2232(a,1))]. 10257 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10080(a,2),10187(a,1,1))]. 10258 K(x,y) * (T(y,z) \ K(y,x)) = T(y,z) \ 1. [hyper(285,a,7404,a(flip),b,10154,a),flip(a)]. 10259 (1 / (x * y)) * (y * K(x,y)) = K(x,y) * ((1 / (x * y)) * y). [hyper(9166,a,10179,a),flip(a)]. 10260 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(37,a,10142,a,b,10192,a),flip(a)]. 10261 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1148(a,1),10260(a,1,2,2))]. 10262 1 / (((x / y) \ 1) \ K(z / (x \ y),(x / y) \ 1)) = T((x / y) \ 1,(x \ y) \ z). [hyper(66,a,5302,a(flip),b,10215,a)]. 10263 ((x / y) * T((x / y) \ 1,(x \ y) \ z)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(10215(a,1),7436(a,1,1,2))]. 10264 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(285,a,10171,a(flip),b,10225,a),flip(a)]. 10266 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(10137(a,1),10264(a,1,1,1)),flip(a)]. 10267 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10040(a,1),10186(a,2,1))]. 10268 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(5473,a,10206,a),flip(a)]. 10269 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(285,a,7884,a,b,10268,a),flip(a)]. 10270 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(10269(a,1),7920(a,1,1,1)),flip(a)]. 10271 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2606(a,1),10257(a,1,1,1,2)),flip(a)]. 10272 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(66,a,8290,a(flip),b,10077,a),flip(a)]. 10273 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(10272(a,1),5567(a,1,2,2))]. 10274 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(285,a,5525,a(flip),b,10270,a),flip(a)]. 10275 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(10211,a,10274,a)]. 10276 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9925(a,1),10253(a,1,2))]. 10277 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(66,a,7908,a,b,10162,a)]. 10278 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5320(a,1),10266(a,2,1))]. 10279 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(285,a,7860,a(flip),b,10278,a),flip(a)]. 10280 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(285,a,10116,a(flip),b,10279,a),flip(a)]. 10281 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(170(a,1),10099(a,1,2,1))]. 10282 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(285,a,5722,a(flip),b,8379,a),flip(a)]. 10283 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(117(a,1),10282(a,1,1,1))]. 10284 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8029,a(flip),b,8764,a)]. 10285 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8505,a(flip),b,10284,a)]. 10286 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(66,a,8765,a(flip),b,10285,a),flip(a)]. 10287 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(285,a,9439,a(flip),b,10286,a),flip(a)]. 10288 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5846(a,1),10287(a,1,1))]. 10289 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3193(a,1),10288(a,1,1))]. 10290 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(285,a,8744,a(flip),b,10289,a),flip(a)]. 10291 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8744,a(flip),b,10290,a)]. 10292 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8424,a,b,10291,a)]. 10293 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(170(a,1),10291(a,1,2)),flip(a)]. 10294 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8283(a,1),10293(a,1,2))]. 10295 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(66,a,6633,a(flip),b,10294,a)]. 10296 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(285,a,6626,a,b,10295,a),flip(a)]. 10297 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(15(a,1),10296(a,2,2))]. 10298 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4105(a,1),10297(a,1,2))]. 10299 K(T(T(x,y),z),(x * u) \ w) = K(T(T(x,y),z),u \ (x \ w)). [hyper(7544,a,9147,a),flip(a)]. 10301 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),z / (x * u)). [hyper(66,a,8003,a(flip),b,10299,a),flip(a)]. 10302 K(T(x,y),(x \ z) / u) = K(T(x,y),z / (x * u)). [hyper(66,a,8073,a(flip),b,10301,a)]. 10303 K(T(x / y,y),z / ((x / y) * u)) = K(y \ x,((x / y) \ z) / u). [para(118(a,1),10302(a,1,1)),flip(a)]. 10304 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((y / x) * u)). [para(118(a,1),10303(a,1,1)),flip(a)]. 10305 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((x \ y) * u)). [hyper(285,a,8705,a(flip),b,10304,a),flip(a)]. 10306 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9787(a,1),9256(a,1,2))]. 10307 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(66,a,9211,a(flip),b,10306,a),flip(a)]. 10308 K(((x \ 1) * (y \ 1)) \ 1,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(14(a,1),9267(a,1,1,1,1,1,1))]. 10309 K((x \ 1) \ y,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(6575(a,1),10308(a,1,1))]. 10310 K(x * y,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(6572(a,1),10309(a,1,1))]. 10311 R(1 / x,x,K(y * x,y)) = 1 / (y \ (y * x)). [hyper(395,a,10310,a)]. 10312 R(1 / x,x,K(y * x,y)) = 1 / x. [para(14(a,1),10311(a,2,2))]. 10313 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(10312(a,1),367(a,1,1))]. 10314 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5785(a,2),10313(a,1,2))]. 10315 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(5785(a,2),10314(a,2,2))]. 10316 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10315(a,2),215(a,1,2,2))]. 10317 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = T(1 / x,(1 / x) \ 1). [hyper(285,a,7566,a(flip),b,9271,a),flip(a)]. 10318 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = x \ 1. [hyper(285,a,597,a(flip),b,10317,a),flip(a)]. 10320 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(8961(a,1),9360(a,1,1,1,2)),flip(a)]. 10322 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [hyper(66,a,8105,a(flip),b,9767,a),flip(a)]. 10323 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5149(a,2),10322(a,1,2,1,1,1))]. 10324 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [hyper(66,a,9938,a(flip),b,10323,a)]. 10325 1 / (((x / y) \ 1) \ K(z / (x \ y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(5708(a,1),10262(a,1,2,2))]. 10326 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3359(a,1),8285(a,1,2,1)),flip(a)]. 10327 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3359(a,1),10326(a,1,2)),flip(a)]. 10329 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10327(a,1),593(a,1,1,1)),flip(a)]. 10331 K(T(T(x / (x / y),z),R(u,w,v5) * x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,8028,a(flip),b,8349,a)]. 10332 K(T(T(x / (x / y),z),x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,9511,a(flip),b,10331,a)]. 10334 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T((u / x) \ u,y),z). [hyper(66,a,7798,a(flip),b,10332,a),flip(a)]. 10335 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T(x,y),z). [para(90(a,1),10334(a,2,1,1))]. 10336 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(14(a,1),8818(a,1,2,1))]. 10338 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(23(a,2),10336(a,1,2))]. 10339 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(66,a,9387,a(flip),b,10338,a)]. 10340 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(285,a,9110,a(flip),b,10339,a),flip(a)]. 10343 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(15(a,1),10340(a,2,2,2))]. 10344 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(17(a,1),10340(a,1,1,2)),flip(a)]. 10345 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(66,a,7096,a(flip),b,10343,a),flip(a)]. 10346 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4250(a,1),10343(a,1,1,2))]. 10347 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(10343(a,1),6804(a,1,2))]. 10348 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10343(a,1),8165(a,1,1,2))]. 10349 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10343(a,1),8147(a,1,2,2))]. 10350 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(66,a,6738,a(flip),b,10345,a)]. 10352 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(96(a,1),10348(a,1,1)),flip(a)]. 10353 K(x / (y / L(z,u,w)),z) = K(x / (L(z,u,w) \ y),z). [para(6533(a,1),10348(a,1,1))]. 10354 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7402(a,1),10348(a,1,1)),flip(a)]. 10355 K((x * T(L(y,z,u),w)) / w,y) = K((x * L(y,z,u)) / w,y). [para(7445(a,1),10348(a,1,1)),flip(a)]. 10356 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7723(a,1),10348(a,1,1)),flip(a)]. 10357 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10356(a,1),8027(a,1,1,2)),flip(a)]. 10358 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(66,a,6740,a(flip),b,10349,a),flip(a)]. 10359 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10343(a,1),10349(a,1,2,2))]. 10360 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9631,a,10344,a),flip(a)]. 10361 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10344(a,1),8056(a,1,2,2))]. 10362 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10344(a,1),8138(a,1,2,1))]. 10363 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(96(a,1),10361(a,1,2))]. 10364 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5146(a,1),10362(a,1,2))]. 10365 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(66,a,8333,a(flip),b,10360,a)]. 10366 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(66,a,6846,a(flip),b,10360,a)]. 10367 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(34(a,2),10360(a,1,1))]. 10369 K(L(x,y,x) * z,x) = K(x * z,x). [hyper(285,a,8797,a(flip),b,10352,a),flip(a)]. 10370 K((L(x,y,z) \ x) \ u,x) = K((x \ u) * L(x,y,z),x). [hyper(66,a,9580,a,b,10352,a)]. 10371 K(x * (L(x,y,x) \ z),x) = K(z,x). [para(15(a,1),10369(a,1,1)),flip(a)]. 10372 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(10371(a,1),5150(a,1,1,2))]. 10373 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(10372(a,1),5240(a,1,1)),flip(a)]. 10374 T(x,L(x,y,x) * z) = T(x,x * z). [para(14(a,1),10373(a,1,2,2)),flip(a)]. 10376 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(285,a,5130,a(flip),b,10374,a),flip(a)]. 10379 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5207,a,10376,a)]. 10380 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(10379(a,1),9004(a,1,1))]. 10381 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(10363(a,1),9813(a,1,2))]. 10382 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(103(a,1),10381(a,1,2,2))]. 10383 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10364(a,1),9998(a,1,2))]. 10384 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [hyper(66,a,7881,a,b,10383,a)]. 10385 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10384,a),flip(a)]. 10386 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(103(a,1),10385(a,1,2,2))]. 10387 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(15(a,1),10382(a,1,2,2,2))]. 10388 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8740(a,1),10382(a,1,2))]. 10389 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(285,a,8244,a(flip),b,10388,a),flip(a)]. 10390 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(66,a,8244,a(flip),b,10388,a),flip(a)]. 10391 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(15(a,1),10389(a,1,2,2,2))]. 10392 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(66,a,8269,a,b,10390,a)]. 10393 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(15(a,1),10390(a,1,2,2))]. 10394 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(5191(a,1),10391(a,1,2,2)),flip(a)]. 10395 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(30(a,2),10354(a,1,1,2))]. 10397 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(113(a,1),10365(a,1,1)),flip(a)]. 10398 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10365(a,1),8743(a,1,1))]. 10399 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(285,a,8244,a(flip),b,10387,a),flip(a)]. 10400 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(66,a,8244,a(flip),b,10387,a),flip(a)]. 10401 K(x,T(x \ (y \ z),z)) = K(x,T(x \ (y \ z),y)). [para(15(a,1),10399(a,1,2,2))]. 10402 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10399(a,1),8500(a,1,1,1)),flip(a)]. 10403 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(17(a,1),10400(a,1,2,2)),flip(a)]. 10404 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(66,a,8568,a(flip),b,10403,a)]. 10405 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10395(a,1),6831(a,1,1,1,2))]. 10406 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6797(a,1),10347(a,1,2))]. 10407 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(285,a,8027,a(flip),b,10357,a),flip(a)]. 10408 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(341(a,1),10407(a,1,2,2,1,1))]. 10409 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(5234(a,1),10407(a,1,2,2))]. 10410 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(7708,a,10408,a),flip(a)]. 10411 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5545(a,1),10408(a,1,2,2))]. 10412 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6094(a,1),10408(a,1,2,2,1))]. 10415 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7997(a,1),10408(a,1,2,2))]. 10416 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8739(a,1),10415(a,1,2,2)),flip(a)]. 10417 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(66,a,9966,a(flip),b,10411,a),flip(a)]. 10418 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(112(a,1),10412(a,1,2,2))]. 10420 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(10146,a,10417,a)]. 10421 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [hyper(8434,a,10420,a),flip(a)]. 10422 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(15(a,1),10420(a,1,2,2,1)),flip(a)]. 10423 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(19(a,2),10420(a,1,2,2)),flip(a)]. 10424 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(5000(a,1),10420(a,1,2)),flip(a)]. 10425 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [para(14(a,1),10421(a,1,2,2)),flip(a)]. 10427 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(285,a,7968,a,b,10422,a)]. 10428 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(66,a,9337,a(flip),b,10422,a)]. 10429 K(x \ 1,T(y,z \ x)) = K(x \ 1,T(y,z)). [hyper(10098,a,10424,a)]. 10430 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [hyper(66,a,6628,a,b,10425,a)]. 10431 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(66,a,9545,a,b,10428,a)]. 10432 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [hyper(124,a,10428,a(flip),b,5125,a(flip)),flip(a)]. 10433 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(15(a,1),10428(a,1,2,2,2)),flip(a)]. 10434 K((x * y) \ 1,T(z,y)) = K((x * y) \ 1,T(z,x)). [para(14(a,1),10429(a,1,2,2))]. 10435 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(17(a,1),10430(a,1,2,2))]. 10436 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(15(a,1),10431(a,1,2,2,2))]. 10437 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(10083,a,10433,a),flip(a)]. 10438 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(66,a,10070,a(flip),b,10433,a),flip(a)]. 10440 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5146(a,1),10418(a,1,2,2,1)),flip(a)]. 10441 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8080(a,1),10418(a,1,2,2,1)),flip(a)]. 10442 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(285,a,5130,a,b,10432,a),flip(a)]. 10443 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(15(a,1),10442(a,1,2,2,2)),flip(a)]. 10444 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(115(a,1),10443(a,1,2)),flip(a)]. 10445 K((x * y) \ 1,T(T(z,x),y)) = K((x * y) \ 1,z). [hyper(285,a,7991,a(flip),b,10434,a),flip(a)]. 10446 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [hyper(285,a,8096,a(flip),b,10435,a),flip(a)]. 10447 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(285,a,10074,a,b,10436,a),flip(a)]. 10448 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(7708,a,10441,a),flip(a)]. 10450 K(((x \ 1) * y) \ 1,T(T(z,x),y)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,10095,a(flip),b,10445,a)]. 10451 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(10083,a,10447,a),flip(a)]. 10452 K(x \ y,T(z,(u * x) \ y)) = K(x \ y,T(z,T(u,x))). [para(27(a,2),10447(a,2,2,2))]. 10455 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(66,a,9376,a,b,10451,a)]. 10456 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(66,a,9320,a(flip),b,10455,a),flip(a)]. 10457 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(66,a,5734,a(flip),b,10406,a)]. 10458 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(10406(a,1),5252(a,1,1))]. 10459 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(10406(a,1),5217(a,1,2)),flip(a)]. 10461 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(10457(a,1),488(a,1,1))]. 10462 L(x,y,1 / (y * x)) \ 1 = T((1 / (y * x)) * y,x). [para(438(a,1),10458(a,1,1)),flip(a)]. 10464 1 / T((1 / (x * y)) * x,y) = L(y,x,1 / (x * y)). [hyper(185,a,10462,a)]. 10466 1 / T((1 / (x * y)) * x,y) != z | L(y,x,(x * y) \ 1) = z. [para(10464(a,2),3659(a,1))]. 10467 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(30(a,2),10358(a,1,2,1,1))]. 10468 K((x \ y) * L(x,z,z \ 1),x) = K(a(z \ 1,z,x) \ y,x). [para(3937(a,1),10370(a,1,1,1)),flip(a)]. 10469 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(66,a,8567,a(flip),b,10394,a),flip(a)]. 10470 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(17(a,1),10469(a,1,2,2)),flip(a)]. 10471 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5364,a,10398,a),flip(a)]. 10472 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10471(a,1),8761(a,2,2))]. 10473 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(285,a,9535,a(flip),b,10409,a),flip(a)]. 10475 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(16(a,1),10473(a,1,2,2)),flip(a)]. 10476 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(178(a,1),10473(a,1,2,2)),flip(a)]. 10477 K(T(x,y),T(z,u * L(x,w,v5))) = K(x,T(z * K(y,z),u)). [hyper(66,a,8030,a(flip),b,10475,a)]. 10478 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(66,a,10416,a(flip),b,10476,a)]. 10479 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(66,a,7696,a(flip),b,10478,a),flip(a)]. 10480 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(285,a,6628,a,b,10479,a),flip(a)]. 10481 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10480(a,1),9898(a,1,1)),flip(a)]. 10482 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(66,a,9978,a(flip),b,10410,a)]. 10483 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7708,a,10482,a),flip(a)]. 10485 K(x,y \ T(x,z)) = K(x,y \ x). [para(5190(a,2),10483(a,1,2,2))]. 10486 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(5146(a,1),10483(a,1,2,2)),flip(a)]. 10487 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5158(a,1),10483(a,1,2,2)),flip(a)]. 10488 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(5268(a,1),10483(a,1,2,2)),flip(a)]. 10489 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(5294(a,1),10483(a,1,2,2)),flip(a)]. 10490 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5516(a,1),10483(a,1,2,2)),flip(a)]. 10491 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6254(a,1),10483(a,1,2,2)),flip(a)]. 10492 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(7239(a,1),10483(a,1,2,2)),flip(a)]. 10493 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8080(a,1),10483(a,1,2,2)),flip(a)]. 10494 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10485(a,1),7917(a,1,1,2))]. 10495 K(x,(y * z) \ (x * y)) = K(x,z \ x). [hyper(6639,a,10486,a),flip(a)]. 10496 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10489(a,1),10260(a,1,2)),flip(a)]. 10497 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5818(a,1),10493(a,1,2,2))]. 10498 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6585(a,1),10493(a,1,2,2)),flip(a)]. 10499 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(66,a,9418,a,b,10490,a)]. 10500 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(285,a,10112,a(flip),b,10496,a),flip(a)]. 10501 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(10496(a,1),7893(a,1,1,1))]. 10502 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10500(a,1),7686(a,1,1))]. 10503 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(90(a,1),10497(a,1,2,2)),flip(a)]. 10505 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(66,a,7530,a(flip),b,10503,a),flip(a)]. 10506 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(285,a,9694,a(flip),b,10488,a),flip(a)]. 10507 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(442(a,1),10491(a,1,2))]. 10508 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(5101(a,1),10491(a,1,2,2,2))]. 10509 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(5312(a,1),10491(a,1,2,2,2))]. 10510 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(8035(a,1),10491(a,1,2,2,2))]. 10511 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(10510(a,1),7399(a,1,1,2)),flip(a)]. 10513 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(37,a,7968,a,b,10427,a)]. 10514 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(66,a,10120,a,b,10513,a)]. 10515 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(66,a,8313,a,b,10513,a)]. 10516 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(66,a,9559,a,b,10514,a)]. 10517 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(66,a,9633,a(flip),b,10515,a)]. 10518 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10517(a,1),10103(a,1,2)),flip(a)]. 10519 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(66,a,7884,a,b,10516,a)]. 10520 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(10098,a,10438,a)]. 10521 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w * x)). [hyper(66,a,10082,a(flip),b,10452,a),flip(a)]. 10522 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(66,a,7995,a(flip),b,10456,a),flip(a)]. 10523 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(122,a,10522,a(flip),b,5124,a(flip))]. 10524 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6423,a,10467,a)]. 10525 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1051(a,1),10524(a,1,2,2,1)),flip(a)]. 10526 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1052(a,1),10524(a,1,2,2,1))]. 10527 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(285,a,8520,a,b,10472,a)]. 10529 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(14(a,1),10520(a,1,2,2)),flip(a)]. 10530 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10529(a,1),8804(a,1,1))]. 10531 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(66,a,7991,a(flip),b,10397,a)]. 10532 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(589(a,1),10423(a,1,2,2))]. 10533 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(66,a,7777,a(flip),b,10532,a),flip(a)]. 10535 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(66,a,8038,a(flip),b,10533,a)]. 10536 T(x,T(y,a(x,z,u))) = x * K(x,y). [hyper(124,a,10533,a(flip),b,5125,a(flip)),flip(a)]. 10537 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(285,a,5130,a,b,10536,a),flip(a)]. 10538 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10537(a,1),8555(a,1,1,1))]. 10539 x * (a(1 / y,y,x) / x) = x * (1 / L(x,y,y \ 1)). [hyper(66,a,3830,a(flip),b,10459,a)]. 10541 x * (a(y \ 1,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(3935(a,1),10539(a,1,2,1))]. 10542 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (a(y \ 1,y,x) / x))) = K(x,z \ x). [para(10541(a,2),10495(a,1,2,2))]. 10543 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1584,a,10461,a)]. 10544 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(180,a,10543,a)]. 10545 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(136,a,10543,a)]. 10546 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(10544(a,1),6344(a,2,2,1))]. 10547 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(10544(a,1),6989(a,2,1,1))]. 10548 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),L(z,y,x)). [para(10545(a,1),4731(a,1,2,2))]. 10549 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6864(a,1),10547(a,1,1))]. 10550 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [hyper(185,a,10549,a)]. 10551 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10549(a,1),3894(a,2,1))]. 10552 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(9467(a,1),10550(a,2,1,1))]. 10553 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [hyper(647,a,10548,a),flip(a)]. 10554 K(L(x,y,z),a(z,y,x)) = a(z,y,x) / a(z,y,x). [para(10553(a,1),5123(a,2,2))]. 10555 K(L(x,y,z),a(z,y,x)) = 1. [hyper(285,a,85,a(flip),b,10554,a),flip(a)]. 10557 K(((x / y) * (y / z)) \ x,a(x / y,y / z,z)) = 1. [para(654(a,1),10555(a,1,1))]. 10558 K(T(x,y),T(z,u * L(x,w,v5))) = K(T(x,y),T(z,u)). [hyper(285,a,8030,a(flip),b,10477,a),flip(a)]. 10559 K(T(x,y),T(z,y)) = K(R(x,y,L(x,u,w)),z). [hyper(66,a,8109,a(flip),b,10558,a),flip(a)]. 10561 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,7990,a(flip),b,10559,a),flip(a)]. 10563 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(66,a,8011,a(flip),b,10561,a),flip(a)]. 10564 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(10561(a,1),5190(a,2,1)),flip(a)]. 10565 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(66,a,7990,a(flip),b,10563,a),flip(a)]. 10567 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(10565(a,1),5232(a,2,1,1))]. 10568 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(285,a,5232,a,b,10567,a),flip(a)]. 10569 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(285,a,32,a,b,10564,a),flip(a)]. 10570 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(285,a,7753,a(flip),b,10531,a)]. 10571 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(90(a,1),10570(a,1,1,1)),flip(a)]. 10572 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(16(a,1),10571(a,1,1,2)),flip(a)]. 10573 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(87(a,1),10571(a,1,1,2)),flip(a)]. 10575 K(a(x \ 1,x,y) \ z,y) = K(z,y). [hyper(66,a,8715,a(flip),b,10468,a),flip(a)]. 10577 K(x,a(y \ 1,y,x) \ z) = (x \ K(z,x)) \ (x \ 1). [para(10575(a,1),5649(a,1,1,2)),flip(a)]. 10578 K(x,a(y \ 1,y,x) \ z) = K(x,z). [hyper(285,a,5649,a(flip),b,10577,a),flip(a)]. 10579 K(x,a(y \ 1,y,x) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,10578,a),flip(a)]. 10580 K(x,y \ a(z \ 1,z,x)) = K(x,y \ 1). [hyper(10245,a,10579,a)]. 10581 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(38,a,10191,a,b,10494,a),flip(a)]. 10582 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10581,a)]. 10583 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(66,a,10178,a,b,10582,a)]. 10584 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(90(a,1),10583(a,1,2,2,1,2))]. 10585 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(66,a,7147,a(flip),b,10584,a)]. 10586 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(7895,a,10501,a),flip(a)]. 10587 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(10586(a,1),8773(a,1,2))]. 10588 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(285,a,7399,a(flip),b,10511,a),flip(a)]. 10589 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(96(a,1),10588(a,1,1,2,2))]. 10590 K((x * (y * z)) / u,T(z,x * (y * z))) = K(u \ (x * (z * y)),z). [hyper(8435,a,10589,a)]. 10591 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),10589(a,2,1))]. 10592 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(285,a,7872,a(flip),b,10518,a),flip(a)]. 10593 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(10113,a,10592,a)]. 10594 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(17(a,1),10593(a,1,2,2)),flip(a)]. 10595 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(10594(a,1),5178(a,1,2,1))]. 10596 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(66,a,9004,a(flip),b,10380,a),flip(a)]. 10597 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(7997(a,1),10402(a,2,1))]. 10598 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(10523(a,1),9692(a,1,1))]. 10599 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (x * (z * y)),z). [hyper(66,a,10382,a(flip),b,10590,a)]. 10600 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(66,a,6924,a(flip),b,10405,a),flip(a)]. 10602 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(7991(a,1),10530(a,1,1)),flip(a)]. 10603 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(66,a,9905,a,b,10602,a)]. 10605 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(619,a,10546,a)]. 10606 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(30(a,2),10605(a,1,1))]. 10607 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(128,a,10606,a)]. 10608 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1509(a,1),10607(a,1,1))]. 10609 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(66,a,10033,a(flip),b,10448,a)]. 10610 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(7708,a,10609,a),flip(a)]. 10612 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5439(a,1),10610(a,1,2,2,1)),flip(a)]. 10613 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(285,a,9059,a(flip),b,10591,a),flip(a)]. 10615 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5558,a,10598,a),flip(a)]. 10616 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(66,a,10506,a,b,10615,a)]. 10617 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(285,a,10596,a(flip),b,10366,a),flip(a)]. 10619 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(285,a,6845,a(flip),b,10617,a),flip(a)]. 10620 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(66,a,7738,a(flip),b,10538,a)]. 10621 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(9082,a,10346,a)]. 10623 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (x \ a(y \ 1,y,x)))) = K(x,z \ x). [hyper(66,a,10498,a(flip),b,10542,a)]. 10624 K(x,((1 / L(x,y,y \ 1)) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(15(a,1),10623(a,1,2,2))]. 10625 K(x,((L(x,y,y \ 1) \ 1) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [hyper(66,a,7160,a(flip),b,10624,a)]. 10627 K(x,((L(x,y,y \ 1) \ 1) * z) \ 1) = K(x,z \ x). [hyper(66,a,10580,a(flip),b,10625,a)]. 10629 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5473,a,10595,a),flip(a)]. 10630 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(285,a,10169,a(flip),b,10629,a),flip(a)]. 10631 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(66,a,10169,a(flip),b,10630,a)]. 10632 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9822(a,1),10631(a,1,2))]. 10633 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(66,a,10276,a(flip),b,10632,a),flip(a)]. 10634 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(66,a,10176,a(flip),b,10633,a),flip(a)]. 10635 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(66,a,7881,a,b,10634,a)]. 10636 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(66,a,9750,a(flip),b,10635,a)]. 10637 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(285,a,8904,a(flip),b,10636,a),flip(a)]. 10639 K(x,K(y,a(z,x,u))) = 1. [para(208(a,1),10637(a,1,2,2,3))]. 10641 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10639(a,1),7862(a,1,2)),flip(a)]. 10642 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(285,a,13,a(flip),b,10641,a),flip(a)]. 10643 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8227,a,10642,a)]. 10644 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [hyper(124,a,10643,a(flip),b,27,a(flip)),flip(a)]. 10646 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(9540(a,1),10608(a,1,2,2))]. 10647 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5591,a,10646,a)]. 10649 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(66,a,9199,a(flip),b,10507,a),flip(a)]. 10651 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(66,a,8612,a(flip),b,10649,a),flip(a)]. 10653 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(23(a,2),10651(a,2,2))]. 10654 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5360(a,1),10653(a,1,2,2)),flip(a)]. 10655 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10654(a,1),5633(a,1,2,2)),flip(a)]. 10656 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(285,a,5633,a(flip),b,10655,a),flip(a)]. 10657 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5143(a,1),10656(a,1,1,2)),flip(a)]. 10658 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(66,a,10621,a(flip),b,10657,a)]. 10661 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(38,a,6177,a(flip),b,10551,a),flip(a)]. 10662 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(66,a,7261,a,b,10661,a)]. 10663 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1080(a,1),10662(a,1,2))]. 10664 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(136,a,10663,a)]. 10665 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(10663(a,1),5254(a,2,1)),flip(a)]. 10666 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(10664(a,1),6938(a,1,2,2,1)),flip(a)]. 10667 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(285,a,7908,a,b,10665,a),flip(a)]. 10668 L(K(x,y) * K(x,K(y,z * u)),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(10386(a,1),9010(a,1,1,2))]. 10669 (x * (y * T(z,u))) / (x * (y * z)) = L(K(z,T(u,x * y)),y * z,x). [para(7968(a,1),10668(a,1,1)),flip(a)]. 10670 (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). [hyper(285,a,6653,a(flip),b,10669,a),flip(a)]. 10671 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(285,a,16,a(flip),b,9180,a),flip(a)]. 10673 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(9170(a,1),10671(a,1,3))]. 10674 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(285,a,10152,a(flip),b,9440,a),flip(a)]. 10675 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(285,a,10292,a(flip),b,10674,a),flip(a)]. 10676 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(208(a,1),10675(a,2,2,2))]. 10677 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(66,a,10428,a(flip),b,10676,a)]. 10678 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(14(a,1),10677(a,1,2,2))]. 10679 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(66,a,8414,a(flip),b,10678,a)]. 10683 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(285,a,8419,a(flip),b,10679,a),flip(a)]. 10684 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(17(a,1),10683(a,1,2,2,1)),flip(a)]. 10685 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [hyper(124,a,10684,a(flip),b,5125,a(flip)),flip(a)]. 10686 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(285,a,5130,a,b,10685,a),flip(a)]. 10687 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(285,a,9470,a(flip),b,9471,a),flip(a)]. 10688 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(285,a,6468,a(flip),b,10687,a),flip(a)]. 10689 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(66,a,9659,a(flip),b,10688,a),flip(a)]. 10691 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1245(a,1),10689(a,1,1))]. 10692 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(285,a,9495,a(flip),b,9493,a),flip(a)]. 10693 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(285,a,6592,a(flip),b,10692,a),flip(a)]. 10694 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(66,a,9664,a(flip),b,10693,a),flip(a)]. 10696 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(8426,a,9573,a),flip(a)]. 10697 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(66,a,5918,a(flip),b,9625,a),flip(a)]. 10698 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(78(a,1),10697(a,2,1))]. 10699 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(285,a,4600,a(flip),b,9682,a),flip(a)]. 10700 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(604(a,1),10699(a,1,2))]. 10701 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6555,a,10700,a),flip(a)]. 10702 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(116(a,1),9685(a,2,2))]. 10703 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(285,a,9905,a,b,10702,a),flip(a)]. 10704 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(9684(a,1),10703(a,1,3)),flip(a)]. 10705 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(66,a,10603,a(flip),b,10704,a),flip(a)]. 10707 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(10705(a,1),32(a,2,1))]. 10708 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(5336(a,1),10705(a,1,1))]. 10709 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(10705(a,1),5808(a,1,1))]. 10710 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(285,a,30,a,b,10707,a),flip(a)]. 10711 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(5336(a,1),10708(a,2,1))]. 10712 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [hyper(66,a,8790,a(flip),b,10711,a)]. 10713 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(66,a,25,a(flip),b,10711,a)]. 10714 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10710(a,2,1))]. 10715 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [hyper(66,a,9615,a(flip),b,10712,a)]. 10716 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10714(a,1,1))]. 10717 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [hyper(66,a,7526,a(flip),b,10715,a),flip(a)]. 10718 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10713(a,1),479(a,1))]. 10719 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(9681(a,1),10713(a,1,1))]. 10720 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(116(a,1),10719(a,1,2))]. 10721 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(66,a,9905,a,b,10720,a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(116(a,1),10014(a,1,2))]. 10723 K(((x / y) * (z * y)) \ (x * (z * y)),z) = L(K(y,z),T(x,z * y),z * y). [hyper(66,a,9916,a,b,10722,a)]. 10724 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(10079(a,1),10255(a,1,1)),flip(a)]. 10725 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5316(a,1),10724(a,2,2))]. 10726 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10036(a,1),10267(a,1,2,1))]. 10727 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5545(a,1),10726(a,1,2))]. 10729 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7801(a,1),10273(a,1,1))]. 10730 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10314(a,1),10316(a,1,2,2))]. 10731 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9543(a,1),10730(a,1,2,2))]. 10732 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(116(a,1),10731(a,1,2)),flip(a)]. 10733 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(285,a,9817,a(flip),b,10696,a),flip(a)]. 10735 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(285,a,8013,a(flip),b,10733,a),flip(a)]. 10736 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6775(a,1,1,2))]. 10737 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(285,a,626,a(flip),b,10736,a),flip(a)]. 10739 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(136,a,10737,a)]. 10740 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(39,a,5448,a,b,10737,a)]. 10742 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(116(a,1),10739(a,1,2)),flip(a)]. 10743 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10739(a,1),5453(a,1,2)),flip(b)]. 10744 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7884(a,2),10739(a,1,1))]. 10745 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5360(a,1),10740(a,1,2,2)),flip(a)]. 10746 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(66,a,7945,a,b,10745,a)]. 10747 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6651(a,1),10745(a,1,2,1)),flip(a)]. 10748 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7941(a,1),10745(a,2,2))]. 10750 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(224,a,9194,a,b,10742,a)]. 10751 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6270,a,10750,a),flip(a)]. 10753 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(10750(a,2),263(a,1))]. 10754 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(7884(a,1),10750(a,2,1))]. 10756 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7884(a,2),10744(a,2,2,1))]. 10757 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8232(a,1),10746(a,1,1))]. 10758 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(66,a,9408,a(flip),b,10748,a)]. 10759 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6270,a,10758,a),flip(a)]. 10760 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(285,a,8533,a(flip),b,10759,a),flip(a)]. 10761 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(10759(a,2),7399(a,1,1))]. 10763 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(10760(a,1),4144(a,1,1)),flip(a)]. 10764 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(285,a,8915,a(flip),b,10761,a),flip(a)]. 10765 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(7884(a,1),10754(a,1,1,1))]. 10766 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(303,a,10756,a),flip(a)]. 10767 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7884(a,2),10766(a,1,2,1))]. 10768 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6651(a,1),10747(a,1,1))]. 10769 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(268(a,1),6799(a,1,2)),flip(a)]. 10770 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(285,a,6468,a(flip),b,10769,a),flip(a)]. 10771 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(268(a,1),10770(a,1,2))]. 10772 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(285,a,6871,a(flip),b,10771,a),flip(a)]. 10773 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(10772(a,1),6019(a,2,2)),flip(a)]. 10774 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(78(a,1),10773(a,1,2,1))]. 10775 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(37,a,3896,a(flip),b,10774,a),flip(a)]. 10776 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(37,a,2756,a(flip),b,10774,a),flip(a)]. 10777 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(123,a,10774,a(flip),b,6241,a)]. 10778 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(10774(a,1),785(a,2,1,1))]. 10779 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(15(a,1),10775(a,1,1))]. 10780 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(10779(a,1),5344(a,1,2)),flip(a)]. 10781 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(285,a,5344,a(flip),b,10780,a),flip(a)]. 10782 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(14(a,1),10781(a,1,1,1)),flip(a)]. 10783 K(x \ ((y / x) \ 1),y) = K(y \ 1,y). [para(90(a,1),10781(a,1,1,1))]. 10784 K((x * y) \ 1,1 \ (x * y)) = K(y \ (x \ 1),x * y). [para(78(a,2),10782(a,1,2))]. 10785 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(90(a,1),10776(a,1,2,2))]. 10786 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(10785(a,2),2622(a,1,2))]. 10787 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(7158(a,1),10786(a,1,2))]. 10788 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(6702(a,1),10787(a,1,2))]. 10789 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(87(a,1),10788(a,1,2,1,1)),flip(a)]. 10791 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(285,a,10774,a(flip),b,10789,a),flip(a)]. 10792 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(10791(a,1),3614(a,1,1))]. 10793 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(38,a,6884,a,b,10792,a)]. 10794 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(10793(a,1),6240(a,1,1))]. 10795 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5119(a,2),6823(a,1,2,1,2)),flip(a)]. 10796 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6958(a,1,2))]. 10797 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(285,a,5798,a(flip),b,10796,a),flip(a)]. 10798 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(9081(a,1),10797(a,1,1,1,1))]. 10799 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7045(a,1),10798(a,1,1))]. 10801 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9221(a,1),10799(a,1,1))]. 10802 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),7426(a,1,2,2))]. 10803 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(8781,a,8784,a),flip(a)]. 10804 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(87(a,1),10803(a,1,2,1,2,1)),flip(a)]. 10805 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(285,a,8780,a(flip),b,8925,a),flip(a)]. 10806 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8357(a,1),10805(a,1,2,1,2,1))]. 10807 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(z,u) \ 1)). [para(9312(a,2),9321(a,2,2,1,1))]. 10808 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6086(a,1),9413(a,1,1,2))]. 10809 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(285,a,9943,a(flip),b,9553,a),flip(a)]. 10811 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,6392,a(flip),b,10809,a),flip(a)]. 10812 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6385(a,1),10811(a,1,2,2))]. 10813 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [hyper(285,a,10324,a(flip),b,10446,a),flip(a)]. 10814 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [hyper(285,a,6632,a(flip),b,10813,a),flip(a)]. 10815 T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7587(a,1),10802(a,1,2))]. 10816 T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). [hyper(66,a,10181,a(flip),b,10815,a)]. 10818 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(66,a,10275,a(flip),b,10816,a),flip(a)]. 10819 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(u,z))). [para(5320(a,1),10807(a,2,2,2))]. 10820 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(y * K(z,u),T(u,z)) \ 1). [hyper(285,a,8412,a(flip),b,10819,a),flip(a)]. 10821 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(T(u,z) \ (y * u)) \ 1). [para(7457(a,1),10820(a,2,2,1))]. 10822 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(y * u) \ T(u,z)). [hyper(285,a,6392,a(flip),b,10821,a),flip(a)]. 10823 T(K(x,T(K(y,z) / u,T(u,y))),y) = K(x,(u * y) \ T(y,z)). [hyper(66,a,9780,a(flip),b,10822,a)]. 10824 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8302(a,1),10808(a,1,2))]. 10825 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7881(a,1),10824(a,1,2))]. 10827 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10825(a,1),8275(a,1,2,2))]. 10828 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(66,a,8300,a(flip),b,10827,a),flip(a)]. 10830 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(285,a,8460,a(flip),b,10828,a),flip(a)]. 10832 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(8888(a,1),6667(a,1,1))]. 10833 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(15(a,1),10832(a,1,2,2)),flip(a)]. 10835 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(5190(a,2),10833(a,2,2))]. 10836 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(285,a,5101,a(flip),b,10835,a),flip(a)]. 10837 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,10836,a),flip(a)]. 10838 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(10836(a,2),4935(a,1))]. 10839 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10837(a,1,1,3))]. 10840 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(285,a,8027,a(flip),b,6847,a),flip(a)]. 10841 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(6181(a,1),10840(a,1,1))]. 10842 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(66,a,8027,a(flip),b,10841,a),flip(a)]. 10843 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(66,a,9962,a(flip),b,10842,a),flip(a)]. 10845 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(66,a,8046,a,b,10843,a)]. 10846 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(66,a,10616,a(flip),b,10845,a)]. 10847 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(66,a,626,a(flip),b,10846,a)]. 10849 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(66,a,9227,a(flip),b,10847,a)]. 10850 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(66,a,10486,a,b,10849,a)]. 10851 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(90(a,1),10850(a,1,2,2,1)),flip(a)]. 10852 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(10851(a,1),7986(a,1,1))]. 10854 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(66,a,7998,a(flip),b,10852,a)]. 10855 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(10852(a,1),9644(a,1))]. 10856 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(66,a,9589,a(flip),b,10854,a)]. 10857 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,9481,a(flip),b,10854,a),flip(a)]. 10858 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(66,a,9391,a,b,10856,a)]. 10859 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(60,a,10856,a)]. 10860 K(x,((x * y) / z) \ x) = K(x,z / y). [para(14(a,1),10856(a,1,2,2)),flip(a)]. 10861 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10856(a,1),6101(a,1,1))]. 10862 K(x,((y * x) / z) \ x) = K(x,z / y). [hyper(66,a,7595,a,b,10860,a)]. 10863 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(87(a,1),10860(a,1,2,1)),flip(a)]. 10864 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(4179(a,1),10860(a,1,2,1))]. 10865 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(7653(a,1),10860(a,1,2,1))]. 10866 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(658(a,1),10863(a,1,2,1,2))]. 10867 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10858(a,2),7682(a,2,1)),flip(a)]. 10868 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5760,a,10859,a)]. 10869 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(66,a,9602,a,b,10868,a)]. 10870 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5046(a,1),10857(a,1,2,1))]. 10871 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,6640,a(flip),b,10870,a)]. 10872 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1245(a,1),10871(a,1,2)),flip(a)]. 10873 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(66,a,10535,a(flip),b,10866,a)]. 10874 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(9392,a,10867,a)]. 10875 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [hyper(124,a,10874,a(flip),b,5125,a(flip))]. 10876 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5180,a,10875,a),flip(a)]. 10877 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10875(a,1),5180(a,1))]. 10878 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(66,a,9273,a(flip),b,10876,a),flip(a)]. 10879 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(87(a,1),10878(a,1,2,1,1)),flip(a)]. 10880 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(66,a,6640,a(flip),b,10865,a)]. 10881 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(9141,a,10880,a)]. 10882 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(27(a,2),10881(a,1,2,2))]. 10883 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(66,a,8143,a(flip),b,10882,a),flip(a)]. 10884 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(66,a,10864,a,b,10883,a)]. 10885 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(118(a,1),10884(a,2,2,2))]. 10886 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(66,a,6640,a(flip),b,10885,a)]. 10887 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(66,a,10850,a(flip),b,10886,a)]. 10888 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,10887,a),flip(a)]. 10889 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6126(a,1),10888(a,1,2))]. 10890 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(66,a,8794,a(flip),b,10889,a),flip(a)]. 10891 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6848(a,1,2))]. 10892 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(285,a,9008,a(flip),b,7388,a),flip(a)]. 10894 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5289(a,1),10892(a,2,2,2))]. 10895 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(187(a,1),10894(a,2,2))]. 10897 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(285,a,13,a(flip),b,10895,a),flip(a)]. 10899 R(x,K(y,z),R(z,u,w)) = x. [para(7383(a,1),10897(a,1,3))]. 10900 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10899,a)]. 10902 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(9344(a,2),10900(a,1,2))]. 10903 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(285,a,16,a(flip),b,7389,a),flip(a)]. 10905 R(x,K(y,z),L(z,u,w)) = x. [para(7384(a,1),10903(a,1,3))]. 10906 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10905,a)]. 10909 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7776(a,1),10905(a,1,2))]. 10910 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(66,a,7425,a(flip),b,10909,a)]. 10911 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(66,a,3247,a(flip),b,10906,a),flip(a)]. 10912 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9217(a,1),10910(a,1,2)),flip(a)]. 10913 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(10912(a,1),10320(a,2,1))]. 10914 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(285,a,9203,a(flip),b,10913,a),flip(a)]. 10916 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8961(a,1),10914(a,1,2,1))]. 10918 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7884(a,1),9367(a,1,1,2))]. 10919 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K(u \ (L(y,z,x) * (x * z)),y). [hyper(285,a,9815,a(flip),b,9496,a),flip(a)]. 10920 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (L(z,y,x) * (x * y)),z). [hyper(66,a,9721,a(flip),b,10919,a)]. 10921 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (y * z)),y). [hyper(66,a,10599,a(flip),b,10920,a),flip(a)]. 10923 K((K(x,L(y,z,u) / w) * L(y,z,u)) / w,y) = K((x * (1 / (w / L(y,z,u)))) / x,y). [para(5708(a,1),9563(a,1,1,1,1))]. 10924 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5770,a,10727,a)]. 10925 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6182(a,1),10778(a,1,1,2))]. 10927 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(10774(a,1),10925(a,1,1))]. 10928 (x \ (((x * y) \ 1) \ 1)) / z != ((x \ (((x * y) \ 1) \ 1)) / y) * u | u \ y = z. [para(10927(a,1),48(a,1)),flip(a)]. 10929 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(10777(a,1),10927(a,2,1))]. 10930 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(66,a,10794,a(flip),b,10929,a),flip(a)]. 10931 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,6241,a(flip),b,10930,a)]. 10932 (((x * y) \ 1) \ 1) * K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,6068,a(flip),b,10930,a)]. 10933 (x * y) * ((y * x) * (1 / (x * y))) = ((y * x) \ 1) \ 1. [hyper(66,a,5880,a,b,10932,a)]. 10935 T(x * y,(y * x) \ 1) = ((x * y) \ 1) \ 1. [hyper(66,a,5885,a(flip),b,10933,a)]. 10936 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,5876,a(flip),b,10935,a)]. 10937 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(89(a,1),10891(a,2,1))]. 10938 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(5254(a,2),10937(a,2,2,2))]. 10939 K(L(x,x \ 1,y),z) = K(x,z). [hyper(344,a,10938,a),flip(a)]. 10940 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(66,a,8009,a(flip),b,10939,a),flip(a)]. 10941 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(66,a,7990,a(flip),b,10940,a),flip(a)]. 10942 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(10940(a,2),9140(a,1))]. 10944 L(K(x,y),K(z,x),u) = K(x,y). [hyper(66,a,8733,a(flip),b,10941,a)]. 10946 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(124,a,10944,a(flip),b,23,a(flip))]. 10947 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(10944(a,1),34(a,1,1)),flip(a)]. 10948 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(10944(a,1),410(a,1,2,1))]. 10949 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10944(a,1),411(a,1,2,1))]. 10952 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(32(a,2),10942(a,1,2))]. 10953 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(118(a,1),10942(a,1,1))]. 10954 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(118(a,1),10942(a,1,2))]. 10955 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(208(a,1),10942(a,1,1))]. 10956 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(197(a,1),10942(a,1,1))]. 10958 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(5617(a,1),10942(a,1,1))]. 10959 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7697(a,1),10942(a,1))]. 10960 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7761(a,1),10942(a,1))]. 10961 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(10940(a,1),10942(a,1))]. 10962 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(118(a,1),10960(a,1,2,1))]. 10963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7694(a,1),10960(a,1))]. 10964 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7994(a,1),10960(a,1))]. 10965 K((x \ 1) * y,T(T(z,y),x)) != u | K((x \ 1) * y,z) = u. [para(8353(a,1),10960(a,1))]. 10966 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(169(a,1),10953(a,1,2))]. 10967 K((x \ y) \ 1,T(z,y)) != u | K(x / y,z) = u. [para(6468(a,2),10953(a,1))]. 10968 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(7681(a,1),10953(a,1))]. 10970 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8270(a,2),10953(a,1))]. 10974 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(197(a,1),10959(a,1,1))]. 10975 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7761(a,1),10959(a,1))]. 10978 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(19(a,2),10962(a,1,2,1))]. 10982 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7695(a,1),10963(a,1))]. 10983 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9402(a,1),10963(a,1))]. 10988 K((L(x,y,z) * u) / w,T(x,u)) != v5 | K(w \ (L(x,y,z) * u),x) = v5. [para(9813(a,1),10964(a,1))]. 10989 K(x \ (y * (z * u)),z) != w | K(x \ (y * (u * z)),z) = w. [para(10590(a,1),10964(a,1))]. 10990 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(8067(a,1),10968(a,1))]. 10991 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8907(a,2),10975(a,1))]. 10994 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(5828(a,2),10990(a,1))]. 10996 K(x \ (x * y),z) != u | K(y,z) = u. [para(342(a,1),10961(a,1,1))]. 10997 K((x / y) \ x,z) != u | K(y,z) = u. [para(17(a,1),10996(a,1,1,2))]. 11000 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8013(a,1),10996(a,1))]. 11001 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(7994(a,1),10997(a,1))]. 11003 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5149(a,1),11000(a,1,1))]. 11008 K(x,T(y,z / x)) != u | K(x,T(y,z)) = u. [para(8017(a,1),11001(a,1))]. 11009 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(6516(a,2),11003(a,1))]. 11011 K((x \ y) * K(z,y / x),u) != w | K(x \ y,T(u,T(z,x))) = w. [para(8014(a,1),11003(a,1,1,2))]. 11018 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8413(a,1),11008(a,1))]. 11019 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(10074(a,1),11018(a,1))]. 11020 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8246(a,2),11019(a,1))]. 11021 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(10086(a,1),11019(a,1))]. 11024 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(10947(a,1),7413(a,1,2)),flip(a)]. 11025 K(((x / y) * x) \ (y * (x / y)),z) != u | K(y / x,z) = u. [para(7813(a,2),10967(a,1))]. 11026 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7409,a,10946,a)]. 11027 R(x,K(y,z),K(z,u)) = x. [hyper(475,a,10946,a)]. 11030 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2229(a,2),10946(a,2,2))]. 11031 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(285,a,7396,a(flip),b,11027,a),flip(a)]. 11033 R(x,T(K(y,z),u),K(z,w)) = x. [para(1403(a,1),11027(a,1,2))]. 11034 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(11027(a,1),2528(a,1,1,1))]. 11037 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5949(a,1),11027(a,1,3))]. 11038 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5981(a,1),11027(a,1,2))]. 11039 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6094(a,1),11027(a,1,3))]. 11040 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6010(a,1),11033(a,1,3))]. 11041 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(11037(a,1),54(a,2))]. 11042 R(x,K(y,z),L(R(K(z,u),w,v5),v6,v7)) = x. [para(6094(a,1),11037(a,1,3,1))]. 11043 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(11038(a,1),463(a,1,1))]. 11044 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(11038(a,1),498(a,1,1))]. 11045 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(11039(a,1),54(a,2))]. 11046 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(11040(a,1),847(a,1,1)),flip(a)]. 11047 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(11040(a,1),7373(a,1)),flip(a)]. 11049 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5697(a,1),11031(a,1,1))]. 11050 L(K(x,y),K(z,y),u) = K(x,y). [hyper(7562,a,11026,a)]. 11051 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2229(a,2),11026(a,1,1,2))]. 11052 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [hyper(124,a,11050,a(flip),b,23,a(flip))]. 11053 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(11050(a,1),7413(a,1,2)),flip(a)]. 11054 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(224,a,11030,a,b,582,a)]. 11055 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(66,a,10757,a(flip),b,11030,a)]. 11056 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(7392(a,1),11030(a,1,1)),flip(a)]. 11057 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7403(a,1),11030(a,1,1)),flip(a)]. 11058 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(38,a,11026,a,b,11051,a(flip))]. 11061 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(11051(a,1),7422(a,1,1))]. 11062 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7347(a,1),11053(a,1,2))]. 11063 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(128,a,11056,a)]. 11064 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(390,a,11058,a)]. 11066 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(11058(a,1),294(a,1,1)),flip(b)]. 11067 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(66,a,11052,a,b,11062,a)]. 11068 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7682(a,1),11063(a,1,1))]. 11069 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(7409,a,11067,a),flip(a)]. 11070 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(38,a,11051,a,b,11067,a),flip(a)]. 11071 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(11067(a,1),7417(a,1,1)),flip(a)]. 11072 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(123,a,11069,a(flip),b,7432,a)]. 11073 R(x,K(y,z),K(u,y)) = x. [hyper(475,a,11070,a)]. 11074 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3018(a,1),11070(a,1,1))]. 11080 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9017(a,2),10952(a,1))]. 11081 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(7014(a,1),11080(a,1))]. 11083 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8045(a,1),10983(a,1))]. 11084 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9724(a,1),10983(a,1))]. 11085 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7761(a,1),11068(a,2,2))]. 11086 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7380,a,11071,a)]. 11087 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(66,a,6348,a(flip),b,11072,a)]. 11088 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7682(a,1),11085(a,1,2))]. 11089 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(285,a,7385,a(flip),b,11086,a),flip(a)]. 11090 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(7408(a,1),11087(a,1,1)),flip(a)]. 11091 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(66,a,7809,a(flip),b,11090,a)]. 11092 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(285,a,11057,a,b,11091,a)]. 11093 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3193(a,2),11089(a,2,2))]. 11094 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5670(a,1),11092(a,2,2))]. 11095 K(x \ (L(y,z,u) * (u * z)),y) != w | K(x \ (u * (z * y)),y) = w. [para(10921(a,2),10989(a,1))]. 11096 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5149(a,2),11009(a,1,2,1))]. 11098 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(11069(a,2),11061(a,1))]. 11099 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2233(a,2),10948(a,2,2))]. 11100 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(7392(a,1),10948(a,1,1)),flip(a)]. 11101 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(123,a,7532,a(flip),b,11024,a)]. 11102 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(7557(a,1),11043(a,1,1))]. 11103 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(285,a,2238,a(flip),b,11102,a),flip(a)]. 11104 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(838(a,1),10994(a,1,1,2))]. 11105 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7416,a,11044,a)]. 11106 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(285,a,2238,a(flip),b,11105,a),flip(a)]. 11107 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7392(a,1),11106(a,1,2)),flip(a)]. 11108 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7587(a,1),11107(a,1,2))]. 11109 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5662,a,11108,a)]. 11110 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5452,a,11108,a)]. 11111 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2241,a,11108,a)]. 11112 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(653,a,11108,a)]. 11113 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [hyper(66,a,9753,a,b,11108,a)]. 11114 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(66,a,6128,a,b,11108,a)]. 11115 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(124,a,11108,a(flip),b,6128,a)]. 11116 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(124,a,11108,a(flip),b,5514,a),flip(a)]. 11117 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5946(a,1),11108(a,1,2))]. 11118 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6653(a,1),11108(a,1,2))]. 11119 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(11108(a,1),6949(a,1,1)),flip(a)]. 11121 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(11110(a,1),5453(a,1,2)),flip(b)]. 11123 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(11110(a,1),8300(a,1,2,2,2)),flip(a)]. 11124 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(66,a,11044,a,b,11111,a)]. 11126 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6648(a,1),11111(a,1,1))]. 11127 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6814(a,1),11115(a,1,1))]. 11128 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(66,a,6881,a,b,11116,a)]. 11129 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(11118(a,1),5098(a,2,2))]. 11130 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(8734(a,1),11126(a,1,1)),flip(a)]. 11131 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(11128(a,1),6311(a,2,2))]. 11133 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6653(a,1),11121(a,1,2))]. 11134 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(66,a,10768,a,b,11119,a)]. 11135 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6127(a,1),11119(a,1,2)),flip(a)]. 11136 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(122,a,5360,a(flip),b,11135,a),flip(a)]. 11137 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(66,a,11134,a(flip),b,11136,a),flip(a)]. 11138 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11137(a,1),138(a,1))]. 11139 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(11112(a,1),7590(a,1,1))]. 11140 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(285,a,5389,a,b,11124,a)]. 11141 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5981(a,1),11117(a,1,1))]. 11142 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(285,a,11111,a(flip),b,11130,a),flip(a)]. 11144 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(7432(a,1),11142(a,1,2))]. 11146 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(7392(a,1),11144(a,1,2)),flip(a)]. 11147 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(7888(a,1),11146(a,1,2))]. 11148 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(66,a,7946,a(flip),b,11147,a)]. 11150 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(11138,a,11139,a)]. 11151 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(285,a,8274,a(flip),b,11123,a),flip(a)]. 11153 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4072,a,11064,a),flip(a)]. 11154 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(9873(a,1),11046(a,1,2)),flip(a)]. 11156 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(9400(a,1),11113(a,1,2))]. 11157 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(66,a,7849,a(flip),b,11129,a)]. 11158 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(30(a,2),11157(a,1,2,2))]. 11159 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(115(a,1),11158(a,1,2,2,1))]. 11161 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(8180(a,1),11131(a,1,1,2))]. 11163 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7954(a,1),10918(a,1,1,2))]. 11164 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5785(a,1),11163(a,1,1,2,2))]. 11165 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7908(a,1),11164(a,1,1,2))]. 11166 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7879(a,1),11165(a,1,1,2)),flip(a)]. 11167 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4495(a,1),11166(a,1,1,2)),flip(a)]. 11168 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8239(a,1),11167(a,1,1)),flip(a)]. 11169 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(11104,a,11168,a),flip(a)]. 11170 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7761(a,1),10924(a,1,1))]. 11171 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5955(a,1),11141(a,1,2))]. 11172 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5981(a,1),11171(a,2,3))]. 11173 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(285,a,7396,a(flip),b,5356,a),flip(a)]. 11174 ((K(x,y) * R(K(y,z),u,w)) \ (v5 * (K(x,y) * R(K(y,z),u,w)))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)) = K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))). [para(10947(a,1),5916(a,1,1,1,2))]. 11175 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6353(a,1),6369(a,1,1,2,1,1)),flip(a)]. 11176 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(14(a,1),11175(a,2,1,2,1))]. 11177 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6353(a,1),11176(a,1,1)),flip(a)]. 11178 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(6756,a,11177,a),flip(a)]. 11179 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * (R(x,y,x) * K(x,u)). [hyper(66,a,9539,a(flip),b,11177,a)]. 11180 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * R(T(x,u),y,x). [para(9085(a,1),11179(a,2,2))]. 11181 T((x / y) * K((L(y,z,u) \ 1) \ (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(8200(a,1),6624(a,1,1,2))]. 11182 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5367(a,1),6771(a,1,1,1))]. 11183 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(32(a,2),11182(a,1,1))]. 11184 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4113(a,1),11183(a,1,2)),flip(a)]. 11185 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(308,a,11184,a),flip(a)]. 11186 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(285,a,7625,a(flip),b,11185,a),flip(a)]. 11187 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(66,a,9926,a,b,11186,a)]. 11188 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(11187(a,1),8589(a,1,1,1)),flip(a)]. 11189 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(285,a,8270,a(flip),b,11188,a),flip(a)]. 11190 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(285,a,8832,a(flip),b,11189,a),flip(a)]. 11191 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9461,a(flip),b,11190,a)]. 11193 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9427,a(flip),b,11191,a)]. 11194 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(10970,a,11193,a),flip(a)]. 11196 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(285,a,9603,a(flip),b,11194,a),flip(a)]. 11197 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(66,a,9666,a,b,11196,a)]. 11199 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(9140,a,7037,a),flip(a)]. 11201 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(285,a,9477,a(flip),b,11199,a),flip(a)]. 11202 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(14(a,1),11201(a,2,2,1,1))]. 11203 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,10619,a(flip),b,11202,a),flip(a)]. 11206 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(4664(a,2),7118(a,1,2,1,2,2))]. 11207 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6793(a,1),7315(a,1,2,2))]. 11208 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(9189(a,1),7536(a,2,2))]. 11209 K(T(x,y) \ 1,z) * K(x \ K(x,y),x * K(y,x)) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(5331(a,1),8282(a,1,2,2))]. 11210 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(5999(a,1),8468(a,1,2,1)),flip(a)]. 11211 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [hyper(285,a,8030,a(flip),b,11210,a)]. 11212 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6005,a(flip),b,11211,a),flip(a)]. 11213 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [hyper(285,a,5721,a,b,11212,a),flip(a)]. 11214 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(4129(a,1),8660(a,1,1))]. 11215 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(9885,a,11214,a)]. 11216 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(285,a,3341,a(flip),b,11215,a),flip(a)]. 11218 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(11216(a,2),9558(a,1))]. 11219 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4228(a,1),8760(a,1,1,1)),flip(a)]. 11220 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4182(a,1),11219(a,2,2,1,2))]. 11221 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(425(a,1),11220(a,2,2))]. 11222 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4228(a,1),11221(a,1,1)),flip(a)]. 11223 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [hyper(285,a,30,a,b,11222,a),flip(a)]. 11224 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(9095(a,1),11223(a,1,1)),flip(a)]. 11225 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [hyper(285,a,8509,a(flip),b,11224,a),flip(a)]. 11227 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(28(a,1),11225(a,1,1,2))]. 11228 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9374(a,1),11225(a,1,1))]. 11229 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [hyper(66,a,11227,a(flip),b,11228,a),flip(a)]. 11230 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [hyper(122,a,11229,a(flip),b,5130,a(flip)),flip(a)]. 11232 K(x,T(x * T(y,z),u * y)) != w | K(x,T(x * T(y,z),u)) = w. [para(11230(a,2),5208(a,1))]. 11233 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7008(a,2),8900(a,2,2,2))]. 11234 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9450(a,1),9449(a,1,2))]. 11235 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5152(a,1),9517(a,1,1))]. 11236 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(647,a,11235,a),flip(a)]. 11237 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11235(a,1),647(a,1))]. 11238 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5516(a,1),11236(a,1,2)),flip(a)]. 11239 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(7940(a,1),9969(a,1,2))]. 11240 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3584(a,1),10221(a,1,2,2))]. 11241 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(9102(a,1),10818(a,2,2))]. 11242 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1426(a,2),11049(a,2,1))]. 11243 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5334(a,1),11074(a,1,1,1))]. 11244 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(17(a,1),11140(a,2,1))]. 11245 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(285,a,7456,a,b,11244,a)]. 11246 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(7396(a,1),11173(a,1,1))]. 11247 T((x / y) * K(L(y,z,u) * (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(9572(a,1),11181(a,1,1,2))]. 11248 T(x / T(y,L(y,z,u) * (y \ x)),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7403(a,1),11247(a,1,1))]. 11249 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = L(x,z,u) \ (x \ (y * L(x,z,u))). [para(7647(a,1),11248(a,1,1))]. 11250 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ (L(x,z,u) \ (y * L(x,z,u))). [hyper(285,a,1255,a(flip),b,11249,a),flip(a)]. 11251 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(27(a,2),11250(a,2,2))]. 11252 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(66,a,10830,a(flip),b,11207,a)]. 11253 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8496(a,1),11252(a,1,2,2))]. 11254 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(66,a,8299,a(flip),b,11253,a),flip(a)]. 11256 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(66,a,7144,a(flip),b,11254,a)]. 11257 K(T(x,y) \ 1,z) * K(T(x \ K(x,y),y),x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8028(a,1),11209(a,1,2))]. 11258 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = K(T(x,y) \ 1,z) * K(x \ 1,x). [para(7763(a,1),11257(a,1,2)),flip(a)]. 11259 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = (x \ K(T(x,y) \ 1,z)) * x. [hyper(285,a,7059,a(flip),b,11258,a),flip(a)]. 11261 T(x \ K(x,y),z) * (x * K(y,x)) = (x \ K(T(x,y) \ 1,z)) * x. [para(5362(a,1),11259(a,1,2))]. 11262 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(285,a,8135,a(flip),b,11233,a),flip(a)]. 11264 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(4596(a,1),11262(a,1,2,2))]. 11265 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(4645(a,1),11264(a,1,2,2))]. 11267 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6585(a,1),11265(a,1,2)),flip(a)]. 11268 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(285,a,11256,a(flip),b,11267,a),flip(a)]. 11270 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(14(a,1),11234(a,1,2,2,2,1))]. 11271 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(11096,a,11270,a),flip(a)]. 11272 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(10955,a,11271,a)]. 11273 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6746,a,b,11272,a)]. 11274 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7940(a,1),11240(a,1,2))]. 11275 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2510(a,1),11243(a,1,1,2)),flip(a)]. 11276 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7401(a,1),11275(a,2,1))]. 11277 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(285,a,10751,a,b,11276,a),flip(a)]. 11278 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2515(a,1),11277(a,1,1,1))]. 11279 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5334(a,1),11278(a,1,1))]. 11280 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(285,a,7940,a,b,11279,a),flip(a)]. 11281 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2229(a,1),11280(a,1,2))]. 11282 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11280(a,2),7953(a,1))]. 11283 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(123,a,11281,a(flip),b,5191,a)]. 11284 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5320(a,1),11246(a,1,2,2,1)),flip(a)]. 11285 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(285,a,11100,a(flip),b,11284,a),flip(a)]. 11286 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(7409,a,11285,a)]. 11288 (1 / x) / (y \ T(1 / x,z)) = (x \ 1) / (y \ T(x \ 1,z)). [hyper(4796,a,6277,a),flip(a)]. 11290 (1 / x) / (((x \ 1) / (y * (x \ 1))) \ T(1 / x,y)) = (x \ 1) / ((x \ 1) * y). [para(7288(a,1),11288(a,2,2))]. 11291 (1 / x) / ((1 / x) * y) = (x \ 1) / ((x \ 1) * y). [para(7356(a,1),11290(a,1,2))]. 11292 (x \ 1) / ((x \ 1) * (x * y)) = (1 / x) / L(y,x,x \ 1). [para(2951(a,1),11291(a,1,2)),flip(a)]. 11293 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(66,a,2120,a(flip),b,7282,a),flip(a)]. 11295 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11293(a,1,1,2,1,2))]. 11296 K(x,y) * (K(y \ 1,y) * ((T(y,x) * (1 / y)) * z)) = L(z,((T(y,x) \ 1) * y) \ 1,(T(y,x) \ 1) * y). [hyper(285,a,5801,a,b,7555,a)]. 11297 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = L(z,T(x,y) * (1 / x),(T(x,y) \ 1) * x). [para(7554(a,1),7555(a,1,2)),flip(a)]. 11298 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6767(a,1),8517(a,1,2))]. 11299 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(66,a,8028,a(flip),b,11298,a)]. 11300 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(404(a,1),11299(a,2,1,1))]. 11301 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(66,a,8251,a(flip),b,11300,a)]. 11302 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(10942,a,11301,a),flip(a)]. 11303 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(285,a,8924,a(flip),b,11302,a),flip(a)]. 11305 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7487,a,9423,a),flip(a)]. 11306 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5381(a,1),11305(a,1,2)),flip(a)]. 11307 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8463(a,1),4962(a,1,2,1,2))]. 11308 K(x \ (1 / y),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(7688(a,1),5886(a,1,1))]. 11309 K(x \ (y \ 1),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(6697(a,1),11308(a,1,1))]. 11310 K(x \ (y \ 1),x) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4060(a,1),11309(a,1,1))]. 11311 K(x \ (y \ 1),x) / (x * (x \ (1 / y))) = 1 / (x * ((1 / y) / x)). [para(4855(a,1),11310(a,1,2))]. 11312 K(x \ (y \ 1),x) / (1 / y) = 1 / (x * ((1 / y) / x)). [para(15(a,1),11311(a,1,2))]. 11314 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),1 / (x * y)). [hyper(66,a,153,a(flip),b,6156,a),flip(a)]. 11316 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),(x * y) \ 1). [para(3645(a,1),11314(a,2,2))]. 11317 1 / L(x,y * K(x,y),(x * y) \ 1) = a((x * y) \ 1,y,x) / x. [para(10251(a,1),11316(a,1,1)),flip(a)]. 11318 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(15(a,1),6186(a,1,2,1,1,2)),flip(a)]. 11319 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6496(a,1),11318(a,2,2))]. 11320 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6482(a,1),11319(a,2,2))]. 11321 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5146(a,1),11320(a,1,1))]. 11323 (x * (T(y \ 1,z) * y)) \ ((T(y \ 1,z) * y) * x) = K(K(y \ 1,z),K(y \ 1,y) * x). [para(6229(a,1),6227(a,1,1))]. 11324 K(K(x \ 1,y),K(x \ 1,x) * z) = K(T(x \ 1,y) * x,z). [hyper(310,a,11323,a),flip(a)]. 11326 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(T(y \ 1,x) * y,z). [hyper(66,a,7883,a(flip),b,11324,a)]. 11327 K(T(x \ 1,y) * x,z) = K(y,K(x \ 1,z)). [para(3121(a,1),11326(a,1,2)),flip(a)]. 11328 K(T(x \ 1,y) * x,z) = K(y,K(z,x \ 1)). [hyper(285,a,7908,a,b,11327,a),flip(a)]. 11331 (T(x \ 1,y) * x) * K(y,K(z,x \ 1)) = T(T(x \ 1,y) * x,z). [hyper(124,a,11328,a(flip),b,5125,a(flip))]. 11332 ((T(x \ 1,y) * x) * z) \ (z * (T(x \ 1,y) * x)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(6229(a,1),6228(a,1,2))]. 11333 K(K(x \ 1,x) * y,K(x \ 1,z)) = K(y,T(x \ 1,z) * x). [hyper(310,a,11332,a),flip(a)]. 11335 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(z,T(y \ 1,x) * y). [hyper(66,a,7859,a,b,11333,a)]. 11336 K(x,T(y \ 1,z) * y) = K(z,K(y \ 1,x)). [para(3121(a,1),11335(a,1,2)),flip(a)]. 11337 K(x,T(y \ 1,z) * y) = K(z,K(x,y \ 1)). [hyper(285,a,7908,a,b,11336,a),flip(a)]. 11340 (T(x \ 1,y) * x) * K(z,T(x \ 1,y) * x) = T(T(x \ 1,y) * x,z). [para(11337(a,2),11331(a,1,2))]. 11341 (x * (T(y \ 1,z) * y)) / x = T(T(y \ 1,z) * y,x). [hyper(5409,a,11340,a)]. 11342 T(x \ K(x,y),z) * ((y * x) / y) = T(T(x \ 1,z) * x,y). [hyper(66,a,7063,a,b,11341,a)]. 11343 T(x \ K(x,y),z) * (x * K(y,x)) = T(T(x \ 1,z) * x,y). [hyper(66,a,5370,a(flip),b,11342,a)]. 11344 (x \ K(T(x,y) \ 1,z)) * x = T(T(x \ 1,z) * x,y). [hyper(66,a,11261,a(flip),b,11343,a)]. 11345 T(T(x \ 1,y),K(y,z)) * x = T(T(x \ 1,y) * x,z). [hyper(9809,a,11344,a)]. 11346 T(T(x \ 1,x) * x,y) = T(x \ 1,x) * x. [para(1385(a,1),11345(a,1,1)),flip(a)]. 11347 x / (T(y \ 1,y) * y) = (T(y \ 1,y) * y) \ x. [para(11346(a,1),249(a,1,2))]. 11348 K((T((x \ y) \ 1,x \ y) * (x \ y)) \ (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(11347(a,1),9904(a,1,1))]. 11349 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(14(a,1),6454(a,2,2,2,1))]. 11350 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(123,a,11161,a(flip),b,11349,a)]. 11352 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(7399(a,1),11350(a,2,2,1))]. 11353 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(285,a,11099,a(flip),b,11352,a),flip(a)]. 11355 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(11111(a,1),11353(a,2,2))]. 11356 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3747,a,11355,a)]. 11357 T(x,a(y,z,K(x,u))) = x. [hyper(250,a,11356,a)]. 11358 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11357(a,1),7682(a,1,2,2)),flip(a)]. 11359 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(285,a,11137,a,b,11358,a)]. 11360 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11359(a,2),46(a,1))]. 11361 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1080(a,1),7244(a,2,1))]. 11362 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(66,a,11361,a(flip),b,7245,a),flip(a)]. 11363 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1080(a,1),11362(a,1,1)),flip(a)]. 11364 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(7533(a,1),7543(a,1,1,1))]. 11365 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(285,a,8100,a(flip),b,9037,a),flip(a)]. 11366 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(285,a,6918,a(flip),b,11365,a),flip(a)]. 11367 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(90(a,1),11366(a,1,1,1)),flip(a)]. 11368 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11367,a),flip(a)]. 11369 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(9073(a,1),11368(a,1,2)),flip(a)]. 11370 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11369,a),flip(a)]. 11371 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(285,a,6404,a(flip),b,9146,a),flip(a)]. 11372 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(14(a,1),11371(a,2,2))]. 11373 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6548,a,11372,a)]. 11374 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(14(a,1),11373(a,1,2))]. 11375 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(66,a,9050,a(flip),b,11374,a)]. 11376 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(103(a,1),9698(a,1,2)),flip(a)]. 11377 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(285,a,442,a(flip),b,11376,a)]. 11378 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(11000,a,10814,a)]. 11379 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(66,a,10324,a(flip),b,11378,a)]. 11380 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [hyper(66,a,6632,a(flip),b,11379,a),flip(a)]. 11381 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K((x \ 1) \ 1,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(3341(a,2),11206(a,1,2,1,2,2))]. 11382 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,7147,a(flip),b,11273,a)]. 11383 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7940(a,1),11283(a,1,1))]. 11384 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5618(a,1),11307(a,1,2,1)),flip(a)]. 11385 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4566(a,1),11384(a,1,2))]. 11387 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(66,a,7065,a,b,11385,a)]. 11389 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(285,a,5615,a(flip),b,11387,a),flip(a)]. 11390 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(66,a,9777,a(flip),b,11389,a)]. 11391 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(124,a,11390,a(flip),b,5125,a(flip))]. 11392 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(6375,a,11391,a)]. 11393 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5452,a,11392,a)]. 11394 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10214(a,2),11393(a,1,2))]. 11395 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(7499,a,11394,a)]. 11396 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(7409,a,11395,a)]. 11397 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(66,a,6346,a(flip),b,11396,a)]. 11398 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(16(a,1),11397(a,1,2,1,2)),flip(a)]. 11399 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(16(a,1),11398(a,1,2)),flip(a)]. 11400 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(66,a,7291,a(flip),b,11399,a),flip(a)]. 11401 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(17(a,1),11400(a,2,2,1))]. 11402 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(11400(a,2),7941(a,1,2))]. 11403 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(118(a,1),11401(a,2,1))]. 11404 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6166(a,1),11403(a,1,1,2))]. 11405 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(9407(a,1),11404(a,1,1))]. 11406 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(630,a,11405,a),flip(a)]. 11407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(285,a,8540,a(flip),b,11402,a),flip(a)]. 11408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(285,a,8404,a(flip),b,11407,a),flip(a)]. 11409 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6695,a(flip),b,11382,a)]. 11410 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(8452,a,11409,a)]. 11411 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(242(a,1),11410(a,1,1))]. 11412 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(6657,a,11411,a)]. 11414 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(66,a,8162,a(flip),b,11412,a)]. 11415 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(14(a,1),11414(a,1,2,2))]. 11416 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(11000,a,11415,a)]. 11417 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(66,a,8752,a(flip),b,11416,a)]. 11418 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(285,a,10858,a(flip),b,11417,a),flip(a)]. 11419 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(14(a,1),11418(a,1,2,1,1)),flip(a)]. 11420 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4197(a,1),11419(a,1,2,1)),flip(a)]. 11421 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(66,a,10404,a(flip),b,11420,a),flip(a)]. 11422 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(66,a,10860,a(flip),b,11421,a),flip(a)]. 11423 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,11422,a),flip(a)]. 11424 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(66,a,8643,a(flip),b,11423,a)]. 11426 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11424(a,2),10956(a,1))]. 11428 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5219(a,1),6159(a,1,2))]. 11429 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11428(a,1),10519(a,1,2,2))]. 11430 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(6711(a,1),6830(a,1,1,2))]. 11431 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(285,a,7393,a(flip),b,6832,a),flip(a)]. 11432 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(285,a,11030,a(flip),b,11431,a),flip(a)]. 11433 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(7285(a,1),7295(a,2,2,1,1))]. 11434 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(285,a,2570,a(flip),b,11433,a),flip(a)]. 11435 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1635(a,1),11434(a,2,1))]. 11436 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4113(a,1),11435(a,1,1,2,1))]. 11437 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4128(a,1),11436(a,1,1))]. 11438 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9078(a,1),11437(a,1,1)),flip(a)]. 11439 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(5008(a,1),8808(a,2,1,1))]. 11440 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(216(a,1),9410(a,1,1)),flip(a)]. 11441 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7940(a,1),11440(a,2,1,1))]. 11442 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(285,a,30,a,b,11441,a),flip(a)]. 11443 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11073,a(flip),b,11442,a),flip(a)]. 11445 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10801(a,1),9459(a,1,1,2))]. 11446 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(10902(a,1),11445(a,1,1))]. 11447 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(32(a,2),11446(a,1,2))]. 11448 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(255(a,1),11447(a,1,2,1))]. 11449 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,10527,a(flip),b,11448,a)]. 11450 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = K(z,y) * (K(y,z) * x). [para(5417(a,1),11296(a,1,2)),flip(a)]. 11451 L(x,K(y,z),K(z,y)) = L(x,((T(u,w) \ 1) * u) \ 1,(T(u,w) \ 1) * u) # label(flip_matches_hint). [hyper(285,a,5461,a,b,11450,a)]. 11453 L(x,K(y,z),K(z,y)) = L(x,T(u,w) * (1 / u),(T(u,w) \ 1) * u) # label(flip_matches_hint). [para(7554(a,1),11451(a,2,2))]. 11454 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = x. [hyper(5366,a,11453,a),flip(a)]. 11455 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = z. [hyper(66,a,11297,a,b,11454,a)]. 11456 (T(x,y) * (1 / x)) \ z = ((T(x,y) \ 1) * x) * z. [hyper(303,a,11455,a),flip(a)]. 11458 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(14(a,1),11306(a,2,1,1))]. 11459 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(285,a,9836,a(flip),b,11458,a),flip(a)]. 11461 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(14(a,1),11459(a,1,1,1))]. 11462 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(14(a,1),11461(a,1,2,2))]. 11463 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5981(a,1),11462(a,1,2,1,3))]. 11464 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(90(a,1),11430(a,1,1,2,1,2,1))]. 11465 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(9933(a,1),11439(a,2,1,1))]. 11466 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5144(a,1),11465(a,2,1))]. 11468 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9781(a,1),11466(a,1,2,1))]. 11469 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9774(a,1),11468(a,1,2,1))]. 11470 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(86(a,1),11469(a,1,2,1,2,1))]. 11471 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4784(a,1),4882(a,1,1,2))]. 11472 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5334(a,1),6266(a,1,1,2))]. 11473 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = K((z * y) \ x,x \ (z * y)). [hyper(285,a,5964,a(flip),b,7054,a),flip(a)]. 11474 K((x / y) / z,z / (x / y)) = K((z * y) \ x,x \ (z * y)). [hyper(5778,a,11473,a)]. 11475 K((x * y) \ z,z \ (x * y)) = K(x \ (z / y),(z / y) \ x). [hyper(8069,a,11474,a),flip(a)]. 11476 K(x \ (1 / y),(1 / y) \ x) = K(y \ (x \ 1),x * y). [hyper(66,a,10784,a(flip),b,11475,a),flip(a)]. 11477 (1 / x) * (1 / (1 / ((1 / x) \ y))) = y * K(x \ (y \ 1),y * x). [para(11476(a,1),2627(a,1,2)),flip(a)]. 11478 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(x \ ((y / x) \ 1),y). [para(17(a,1),11477(a,2,2,2))]. 11479 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(y \ 1,y). [para(10783(a,1),11478(a,2,2))]. 11480 x \ (1 / (1 / (x * (y / x)))) = (y / x) * K(y \ 1,y). [hyper(66,a,7306,a(flip),b,11479,a)]. 11482 x * (K(y \ 1,y) * (y / x)) = 1 / (1 / (x * (y / x))). [hyper(2418,a,11480,a)]. 11483 1 / (1 / (x * (y / x))) = x * ((1 / (1 / y)) / x). [para(3719(a,1),11482(a,1,2)),flip(a)]. 11484 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [hyper(11232,a,8856,a)]. 11485 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6629,a(flip),b,11484,a),flip(a)]. 11486 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7643(a,1),11485(a,1,2,2,2))]. 11487 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7639(a,1),11486(a,1,2))]. 11489 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),9489(a,1,1,2))]. 11490 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(285,a,9086,a(flip),b,10525,a),flip(a)]. 11492 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(285,a,10524,a(flip),b,11490,a),flip(a)]. 11494 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5133(a,1),10795(a,2,2,1))]. 11497 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(11494(a,2),6558(a,1))]. 11498 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(285,a,3341,a(flip),b,11239,a),flip(a)]. 11499 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(285,a,7693,a(flip),b,11498,a),flip(a)]. 11500 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(285,a,7196,a(flip),b,11499,a),flip(a)]. 11501 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(7940(a,1),11500(a,1,2))]. 11502 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4885,a,11471,a)]. 11503 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(10900(a,1),11472(a,1,1))]. 11504 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),11489(a,1,1,2,1))]. 11505 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(5015,a,11502,a),flip(a)]. 11506 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3654,a,11505,a),flip(a)]. 11508 a(x,y,1 / z) = a(x,y,z \ 1). [para(1103(a,1),11506(a,1,3)),flip(a)]. 11510 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11504(a,1,1))]. 11511 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11510(a,1,1,2))]. 11512 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(9289(a,1),11511(a,1,1,2,2))]. 11513 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(7563,a,11512,a),flip(a)]. 11514 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(285,a,6897,a(flip),b,11513,a),flip(a)]. 11515 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(66,a,9656,a(flip),b,11514,a),flip(a)]. 11516 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),6869(a,1,1,2))]. 11517 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),11516(a,1,2,1))]. 11518 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(23(a,2),11517(a,2,1,2))]. 11519 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5785(a,2),9368(a,1,1,1,2))]. 11520 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(10335(a,1),10764(a,1,1,1,2)),flip(a)]. 11521 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(285,a,10761,a(flip),b,11520,a),flip(a)]. 11523 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(285,a,7968,a,b,11521,a),flip(a)]. 11524 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),11521(a,1,2,2)),flip(a)]. 11525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(112(a,1),11521(a,1,2,2))]. 11526 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(66,a,8449,a,b,11524,a)]. 11528 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(66,a,9520,a(flip),b,11526,a),flip(a)]. 11529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(66,a,10440,a,b,11525,a)]. 11530 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K((x \ y) \ 1,T(z,(y / x) * u)). [para(5745(a,1),11525(a,1,2))]. 11531 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(118(a,1),11529(a,1,2)),flip(a)]. 11532 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8234,a,11523,a)]. 11533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(15(a,1),11532(a,1,2,2)),flip(a)]. 11534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(112(a,1),11532(a,1,2,2))]. 11535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10120,a,b,11533,a)]. 11536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(90(a,1),11535(a,1,2,2)),flip(a)]. 11537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10118,a(flip),b,11536,a),flip(a)]. 11538 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(11537(a,1),10149(a,1,2))]. 11539 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(66,a,7881,a,b,11534,a)]. 11540 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(285,a,7881,a,b,11539,a),flip(a)]. 11541 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(285,a,7935,a(flip),b,11539,a),flip(a)]. 11542 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(11541(a,1),8478(a,1,1,1,1))]. 11543 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(8277(a,2),11540(a,1,2))]. 11545 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(118(a,1),11528(a,1,2)),flip(a)]. 11546 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(66,a,8224,a(flip),b,11545,a)]. 11547 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(66,a,9536,a(flip),b,11546,a)]. 11548 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(112(a,1),11547(a,1,2,2)),flip(a)]. 11549 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7884(a,1),11538(a,1,2))]. 11551 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(10078(a,1),11549(a,2,1))]. 11552 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K(y \ x,T(z,(y / x) * u)). [hyper(285,a,6468,a(flip),b,11530,a),flip(a)]. 11553 K(x \ y,T(z,(x / y) * u)) = K((y \ x) \ 1,T(z,u)). [hyper(66,a,10147,a(flip),b,11552,a),flip(a)]. 11555 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u)). [hyper(285,a,6468,a(flip),b,11553,a),flip(a)]. 11556 K(x \ y,T(z,u * (x / y))) = K(x \ y,T(z,u)). [hyper(66,a,9786,a(flip),b,11555,a)]. 11557 K(((x / y) * x) \ (y * (x / y)),T(z,u * (y \ x))) = K(((x / y) * x) \ (y * (x / y)),T(z,u)). [para(4287(a,1),11556(a,1,2,2,2))]. 11558 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(7875(a,1),11542(a,1,1)),flip(a)]. 11559 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(66,a,7101,a,b,11558,a),flip(a)]. 11560 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(285,a,6468,a(flip),b,11559,a),flip(a)]. 11561 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(285,a,9848,a(flip),b,11560,a),flip(a)]. 11562 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(66,a,11558,a,b,11561,a)]. 11563 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(285,a,7772,a(flip),b,11562,a),flip(a)]. 11564 K(((x / y) * x) \ (y * (x / y)),T(z,u)) = K(y / x,T(z,u * (y \ x))). [hyper(11025,a,11557,a),flip(a)]. 11565 K(x / y,T(z,u * (x \ y))) = K(x / y,T(z,u)). [hyper(11025,a,11564,a),flip(a)]. 11566 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10839(a,1,2,1))]. 11567 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(66,a,9200,a(flip),b,11429,a),flip(a)]. 11569 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(66,a,7881,a,b,11567,a)]. 11570 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10499(a,1),11569(a,1,2))]. 11571 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,10496,a(flip),b,11570,a)]. 11572 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(7940(a,1),11519(a,1,1,1))]. 11573 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(10838,a,11566,a),flip(a)]. 11575 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(66,a,9811,a(flip),b,11573,a),flip(a)]. 11576 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(66,a,5064,a,b,11575,a)]. 11577 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(8600(a,1),11576(a,1,1))]. 11578 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [hyper(124,a,11577,a(flip),b,650,a(flip))]. 11579 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(263,a,11578,a),flip(a)]. 11580 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(7952(a,1),11572(a,1,1,1)),flip(a)]. 11581 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(9263(a,1),11580(a,2,2,1))]. 11582 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5785(a,2),11581(a,2,2,1,2))]. 11583 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5785(a,2),11582(a,1,1,1))]. 11584 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7681(a,2),11583(a,1,1))]. 11585 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10145(a,1),11584(a,1,1))]. 11586 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8538(a,1),11585(a,1,2))]. 11587 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(165(a,1),11586(a,1,2,2)),flip(a)]. 11589 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(186(a,1),11587(a,2,2))]. 11590 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(66,a,10732,a,b,11589,a)]. 11591 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(5785(a,1),11590(a,1,1))]. 11592 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6335(a,1),6455(a,2,2,1,1))]. 11593 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5346(a,1),11592(a,2,2,1))]. 11596 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4069(a,1),6610(a,2,1))]. 11597 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(15(a,1),6811(a,2,2,1,2))]. 11598 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(285,a,222,a(flip),b,11597,a),flip(a)]. 11599 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(222(a,1),11598(a,1,2))]. 11600 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5334(a,1),11599(a,1,2,2))]. 11601 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(285,a,2586,a(flip),b,11600,a),flip(a)]. 11602 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4330(a,1),8766(a,2,2,1))]. 11603 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4182(a,1),11602(a,2,2,2,1))]. 11604 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(9095(a,1),11603(a,2,2))]. 11605 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(8150(a,1),11604(a,2,2))]. 11607 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(285,a,5435,a(flip),b,11605,a),flip(a)]. 11609 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4330(a,1),11607(a,1,1))]. 11610 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4330(a,1),11609(a,1,2,2))]. 11611 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4328(a,1),11610(a,1,1))]. 11612 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4328(a,1),11611(a,1,2,2))]. 11613 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(16(a,1),11612(a,2,2))]. 11614 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(7884(a,2),8965(a,1,2,2))]. 11615 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1905(a,1),9838(a,1,1))]. 11616 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(124,a,9541,a(flip),b,11615,a)]. 11617 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11616(a,1),11503(a,1,1))]. 11618 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6265(a,1),11617(a,1,2))]. 11619 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1109,a,11618,a)]. 11620 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(285,a,5334,a(flip),b,11619,a),flip(a)]. 11621 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(66,a,9522,a,b,11620,a)]. 11622 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3248,a,11621,a),flip(a)]. 11623 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(10952,a,11622,a),flip(a)]. 11625 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10942,a,11623,a),flip(a)]. 11628 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(285,a,7977,a(flip),b,11596,a),flip(a)]. 11629 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(285,a,6009,a(flip),b,11628,a),flip(a)]. 11632 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4658(a,1),11629(a,1,1))]. 11633 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(66,a,6009,a(flip),b,11632,a)]. 11636 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(11633(a,1),7113(a,1,2))]. 11637 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(66,a,3675,a(flip),b,11636,a)]. 11639 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(66,a,5989,a(flip),b,11637,a)]. 11640 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8311(a,1),11614(a,1,2,2)),flip(a)]. 11641 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(38,a,7394,a(flip),b,11640,a),flip(a)]. 11643 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8390,a,11641,a)]. 11644 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(7953,a,11643,a)]. 11645 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(11644(a,2),46(a,1))]. 11646 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((K(y \ 1,y) / (x * y)) * ((((x * y) / x) \ 1) \ 1)) \ 1. [para(2451(a,1),4989(a,2,1,2))]. 11647 (x * ((1 / y) * (y / x))) * K(((1 / y) * (y / x)) \ 1,a(1 / y,y / x,x)) = x / (1 / ((1 / y) * (y / x))). [para(2782(a,1),7208(a,1,1))]. 11648 x / (1 / ((1 / y) * (y / x))) = (x * ((1 / y) * (y / x))) * 1. [para(10557(a,1),11647(a,1,2)),flip(a)]. 11649 x / (1 / ((1 / y) * (y / x))) = x * ((1 / y) * (y / x)). [hyper(285,a,13,a(flip),b,11648,a),flip(a)]. 11651 (x * ((1 / y) * (y / x))) \ x = 1 / ((1 / y) * (y / x)). [hyper(180,a,11649,a)]. 11652 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = (((1 / x) * (x / y)) * y) \ y. [para(11651(a,1),4837(a,1,1))]. 11653 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = a(x \ 1,x / y,y) \ y. [para(3938(a,1),11652(a,2,1))]. 11654 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = L(y,x / y,x \ 1). [hyper(285,a,3940,a(flip),b,11653,a),flip(a)]. 11655 R(1 / (a((x * y) \ 1,y,x) / x),(1 / (x * y)) * ((x * y) / x),x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11654(a,1,1,2))]. 11656 R(1 / (a((x * y) \ 1,y,x) / x),a((x * y) \ 1,y,x) / x,x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11655(a,1,2))]. 11657 L(x,(x * y) / x,(x * y) \ 1) = x / a((x * y) \ 1,y,x). [hyper(66,a,369,a(flip),b,11656,a),flip(a)]. 11658 L(x,y * K(x,y),(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(5149(a,1),11657(a,1,2))]. 11659 1 / (x / a((x * y) \ 1,y,x)) = a((x * y) \ 1,y,x) / x. [para(11658(a,1),11317(a,1,2))]. 11660 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(285,a,473,a(flip),b,10329,a),flip(a)]. 11661 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(66,a,1532,a(flip),b,11660,a)]. 11662 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5447(a,1),11661(a,1,1,2,1))]. 11663 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5853(a,1),11662(a,1,1,2,1))]. 11664 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8004(a,1),11663(a,1,1,2,1)),flip(a)]. 11665 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(66,a,4458,a(flip),b,11664,a),flip(a)]. 11667 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11665(a,1),1167(a,2,1,2)),flip(a)]. 11668 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5334(a,1),11667(a,1,1))]. 11669 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9936(a,1),11668(a,1,1))]. 11670 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(297,a,11669,a)]. 11673 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(66,a,6100,a(flip),b,11670,a)]. 11674 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(285,a,7800,a(flip),b,11673,a),flip(a)]. 11676 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(66,a,9999,a(flip),b,11674,a),flip(a)]. 11678 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(285,a,9764,a(flip),b,11676,a),flip(a)]. 11679 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(10974,a,11678,a)]. 11681 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(66,a,9086,a(flip),b,10526,a),flip(a)]. 11683 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(10705(a,1),10709(a,1,2,1)),flip(a)]. 11684 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(10180(a,1),11683(a,2,2))]. 11685 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(9102(a,1),11684(a,2,2,2))]. 11686 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(285,a,6126,a(flip),b,11685,a),flip(a)]. 11688 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(7996(a,1),11686(a,1,1,1))]. 11689 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(10716(a,1),11688(a,1,1)),flip(a)]. 11690 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(285,a,6126,a(flip),b,11689,a),flip(a)]. 11691 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(7761(a,1),11690(a,2,1,1))]. 11692 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(285,a,13,a(flip),b,11691,a),flip(a)]. 11693 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(11692(a,1),9763(a,1,2))]. 11695 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(11693(a,2),6036(a,1))]. 11696 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5320(a,1),11601(a,2,1,2,1))]. 11697 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(11108(a,1),11696(a,2,1))]. 11698 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6032(a,1),11697(a,1,2,2,2,1))]. 11699 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(66,a,11600,a(flip),b,11698,a)]. 11700 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(66,a,11172,a(flip),b,11699,a)]. 11701 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6374(a,1),11700(a,1,3)),flip(a)]. 11702 a(x,y,a(z,u,K(y,w))) = 1. [hyper(56,a,11701,a)]. 11703 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((((x * y) / x) \ 1) \ K(y \ 1,y))) \ 1. [para(4990(a,1),11646(a,2,1))]. 11704 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) * (1 / y)) \ 1)) \ 1. [para(9805(a,1),11703(a,2,1,2))]. 11705 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) / y) \ 1)) \ 1. [para(6518(a,1),11704(a,2,1,2,1))]. 11706 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(6512(a,1),11705(a,2,1,2))]. 11707 L(x,(((x * y) / x) \ 1) \ 1,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(2451(a,1),11706(a,1,2))]. 11708 L(x,(((x * y) / x) \ 1) \ 1,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,5003,a(flip),b,11707,a)]. 11710 L(x,(x * y) / x,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,7072,a(flip),b,11708,a)]. 11711 ((1 / (x * y)) * (y * K(x,y))) \ 1 = x / a((x * y) \ 1,y,x). [hyper(66,a,11657,a(flip),b,11710,a),flip(a)]. 11712 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = x / a((x * y) \ 1,y,x). [para(10259(a,1),11711(a,1,1))]. 11713 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5320(a,1),7542(a,1,1,1,2,1))]. 11714 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(7557(a,1),11713(a,1,1,1))]. 11715 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11286(a,1),11714(a,1,1))]. 11716 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(11108(a,1),11715(a,1,1,2))]. 11717 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5320(a,1),11716(a,1,3,1))]. 11718 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(11041,a,11717,a),flip(a)]. 11720 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11718(a,1,2,1))]. 11721 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11720(a,1,2,2,1))]. 11722 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(11109(a,1),11721(a,1,2))]. 11723 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(180,a,11722,a)]. 11724 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(66,a,5202,a(flip),b,11722,a),flip(a)]. 11725 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(11722(a,1),307(a,1,1)),flip(b)]. 11727 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(278(a,1),11725(a,1))]. 11728 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3064(a,1),8865(a,2,1,2))]. 11729 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(616(a,1),11728(a,1,1,2,2))]. 11730 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3104(a,1),11729(a,1,1,2))]. 11731 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,6710,a(flip),b,11730,a),flip(a)]. 11732 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(112(a,1),9616(a,2,1))]. 11733 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [hyper(285,a,23,a,b,11732,a),flip(a)]. 11734 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [hyper(66,a,9276,a(flip),b,11733,a),flip(a)]. 11736 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(5101(a,1),11734(a,1,3))]. 11737 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9202(a,1),9993(a,1,1,2))]. 11738 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(11027(a,1),10254(a,1,1))]. 11739 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(6322(a,1),11738(a,1,2))]. 11741 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1633(a,1),11739(a,1,2))]. 11742 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(648,a,11741,a)]. 11743 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(647,a,11741,a),flip(a)]. 11744 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11741(a,1),647(a,1))]. 11745 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(122,a,9826,a,b,11742,a)]. 11746 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(66,a,10185,a,b,11743,a)]. 11747 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(11743(a,1),7030(a,1,1)),flip(a)]. 11748 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(11743(a,1),9578(a,1,2)),flip(a)]. 11749 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4529(a,1),11747(a,2,1))]. 11751 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(11746(a,1),7406(a,1,1))]. 11752 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(11746(a,1),8477(a,1,1)),flip(a)]. 11753 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(17(a,1),11751(a,1,2,2))]. 11754 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5635,a,11748,a)]. 11755 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,989,a(flip),b,11754,a)]. 11756 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(66,a,9920,a(flip),b,11755,a),flip(a)]. 11757 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(66,a,11551,a(flip),b,11752,a),flip(a)]. 11758 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(11047,a,11757,a)]. 11759 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(11744,a,11745,a)]. 11760 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4632,a(flip),b,11759,a),flip(a)]. 11761 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4530,a,11760,a)]. 11762 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9826(a,1),11749(a,1,1))]. 11763 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(11761(a,1),11762(a,2,1))]. 11764 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(66,a,11747,a(flip),b,11763,a)]. 11765 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11237,a,11756,a)]. 11768 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9986(a,1),11765(a,2,2,2))]. 11769 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(15(a,1),11768(a,2,2,2,1))]. 11770 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(14(a,1),11769(a,2,2))]. 11772 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(285,a,11743,a(flip),b,11770,a),flip(a)]. 11773 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4530,a,11772,a),flip(a)]. 11774 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(66,a,11238,a(flip),b,11772,a),flip(a)]. 11777 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(11027(a,1),11034(a,1,1,2,1,1)),flip(a)]. 11778 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(14(a,1),11777(a,2,1,2,1))]. 11780 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(11027(a,1),11778(a,1,1)),flip(a)]. 11781 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2239(a,1),11780(a,2,2))]. 11782 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(66,a,11101,a,b,11781,a)]. 11783 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(11781(a,1),11364(a,1,1))]. 11784 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11782,a),flip(a)]. 11785 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5446(a,1),11783(a,1,1,2))]. 11786 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(11045,a,11785,a),flip(a)]. 11787 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4701,a,11786,a)]. 11789 K(x,a(K(y,z),u,u \ 1)) = 1. [para(11787(a,1),10350(a,1,2))]. 11790 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(59,a,11789,a)]. 11791 T(x,a(K(y,z),u \ 1,u)) = x. [para(3671(a,1),11790(a,1,2))]. 11792 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(57,a,11791,a)]. 11793 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(285,a,3652,a,b,11792,a),flip(a)]. 11794 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5450(a,2),11793(a,1,1))]. 11795 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(66,a,9751,a,b,11794,a)]. 11796 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(66,a,7711,a,b,11795,a)]. 11797 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4864(a,1),11295(a,1,1))]. 11799 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11797(a,1,2,1,2))]. 11800 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2987,a,11799,a)]. 11801 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(285,a,6294,a,b,11800,a)]. 11802 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2193,a,11801,a)]. 11803 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(285,a,8847,a(flip),b,11802,a),flip(a)]. 11805 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11802(a,1),240(a,1,2)),flip(b)]. 11806 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11803(a,1),8854(a,1,1,2))]. 11807 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),11806(a,1,2,1))]. 11808 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(14(a,1),11737(a,1,1)),flip(a)]. 11809 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(285,a,7428,a(flip),b,11808,a),flip(a)]. 11811 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(7428(a,1),11809(a,1,1,2))]. 11812 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(9571(a,1),11811(a,1,1))]. 11814 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(11812(a,1),10911(a,1,1))]. 11815 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(16(a,1),11814(a,1,1,1)),flip(a)]. 11816 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(285,a,7392,a(flip),b,11815,a),flip(a)]. 11818 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(11816(a,1),476(a,1,1)),flip(a)]. 11819 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [hyper(122,a,11818,a(flip),b,646,a)]. 11820 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(306,a,11819,a),flip(a)]. 11822 a(x,L(y,z,u),K(w,y)) = 1. [hyper(66,a,11148,a(flip),b,11820,a)]. 11823 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(55,a,11822,a)]. 11825 K(L(x \ L(y,z,u),x,w),y) = K(x \ L(y,z,u),y). [hyper(66,a,6654,a(flip),b,11823,a)]. 11826 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11823(a,1),7559(a,1,1,2)),flip(a)]. 11827 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(T(z,x * y),u,w),T(z,x * y)). [hyper(66,a,10670,a,b,11825,a)]. 11828 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,7400,a(flip),b,11826,a),flip(a)]. 11829 K(x,((L(x,y,z) \ 1) * u) \ 1) = K(x,u \ L(x,y,z)). [hyper(66,a,7203,a(flip),b,11828,a)]. 11830 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(66,a,6636,a(flip),b,11828,a),flip(a)]. 11831 (1 / L(x,y,z)) \ K(x,u) = L(x,y,z) * K(x,u). [hyper(122,a,11828,a(flip),b,2951,a)]. 11833 L(x \ y,x,1 / y) * K(x \ y,z) = ((1 / y) * x) \ K(x \ y,z). [para(561(a,1),11831(a,1,1)),flip(a)]. 11834 K(x,y \ L(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10627,a(flip),b,11829,a),flip(a)]. 11835 K(x,y \ L(x,z \ 1,z)) = K(x,y \ x). [para(2969(a,1),11834(a,1,2,2))]. 11836 K(x,y \ ((1 / (z / x)) * z)) = K(x,y \ x). [para(2962(a,1),11834(a,1,2,2))]. 11837 K(x,y \ (((z / x) \ 1) * z)) = K(x,y \ x). [hyper(66,a,7198,a(flip),b,11836,a)]. 11838 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ x). [hyper(66,a,9748,a,b,11837,a)]. 11840 (((1 / x) * y) \ 1) * K(y \ x,z) = ((1 / x) * y) \ K(y \ x,z). [para(455(a,1),11833(a,1,1))]. 11841 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(10360(a,1),8899(a,1,1))]. 11843 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(11370(a,1),11841(a,1,1))]. 11844 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1782(a,2),11843(a,1,2))]. 11845 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(5315(a,1),11844(a,1,2,1))]. 11846 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(6279(a,1),11845(a,1,2,1,2))]. 11847 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(6142(a,2),11846(a,2,1))]. 11849 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(11073(a,1),9243(a,1,1))]. 11850 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(9235(a,1),11849(a,1,2,2)),flip(a)]. 11852 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(6311(a,1),11850(a,2,2))]. 11853 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(9235(a,1),11852(a,1,2,2)),flip(a)]. 11854 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8173(a,1),11853(a,2,2))]. 11855 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(285,a,10188,a(flip),b,11854,a),flip(a)]. 11856 K(x,x \ y) * K(y,x) = a(x,y / x,x). [hyper(66,a,4268,a(flip),b,11854,a),flip(a)]. 11857 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(66,a,2364,a(flip),b,11854,a),flip(a)]. 11859 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(2236,a,11856,a)]. 11860 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(66,a,9378,a,b,11859,a)]. 11861 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(16(a,1),11860(a,1,2,1,2)),flip(a)]. 11862 (x * y) \ T(y * x,y) = a(y,x,y). [para(16(a,1),11861(a,1,2)),flip(a)]. 11863 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5316(a,1),11857(a,1,1))]. 11864 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(9816(a,1),11863(a,1,2)),flip(a)]. 11865 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(285,a,9821,a(flip),b,11864,a),flip(a)]. 11866 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1571(a,1),11855(a,1,2))]. 11867 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(647,a,11866,a),flip(a)]. 11869 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(10256,a,11867,a)]. 11870 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [hyper(124,a,11867,a(flip),b,5526,a),flip(a)]. 11871 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10600(a,1),11867(a,1,2))]. 11872 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5452,a,11869,a)]. 11873 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(11869(a,1),11153(a,1,1)),flip(a)]. 11874 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(11869(a,1),11432(a,2,2))]. 11875 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(122,a,10569,a(flip),b,11870,a(flip))]. 11876 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(66,a,11875,a(flip),b,11871,a),flip(a)]. 11878 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(66,a,11865,a(flip),b,11876,a)]. 11880 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11878(a,1),10544(a,1,1))]. 11881 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6457(a,1),11874(a,1,1))]. 11882 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6826(a,1),11881(a,1,2))]. 11883 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(66,a,11093,a(flip),b,11882,a)]. 11884 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10150(a,1),11883(a,1,2))]. 11885 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),5227(a,2,2,1,1,1))]. 11886 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),11885(a,1,1))]. 11887 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5853(a,1),11886(a,1,2,1))]. 11888 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5334(a,1),11887(a,1,2,2))]. 11889 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5334(a,1),11888(a,2,2,1,2))]. 11890 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(8851(a,2),11889(a,2,1))]. 11891 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9099(a,1),11890(a,1,2,2))]. 11892 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6337(a,1),11891(a,1,2))]. 11893 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9137(a,1),11892(a,1,2,2)),flip(a)]. 11894 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(285,a,14,a(flip),b,11893,a),flip(a)]. 11896 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(8851(a,1),11894(a,1,1))]. 11897 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9099(a,1),11896(a,1,2,1,2))]. 11898 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9219(a,1),11897(a,1,2,1))]. 11899 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(38,a,5045,a,b,11898,a)]. 11901 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(665(a,1),11899(a,1,2))]. 11902 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(66,a,6223,a(flip),b,11901,a)]. 11903 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7761(a,1),11902(a,1,2))]. 11904 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(11902(a,1),11058(a,1,2))]. 11905 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(11903(a,1),6311(a,1,1)),flip(a)]. 11906 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(285,a,5045,a(flip),b,11905,a),flip(a)]. 11907 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8749(a,1),11906(a,1,2))]. 11908 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7803(a,2),11907(a,1,1))]. 11909 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6051,a(flip),b,5735,a),flip(a)]. 11911 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,6224,a(flip),b,11909,a)]. 11912 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6970,a(flip),b,11911,a)]. 11913 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(16(a,1),11912(a,1,2,1))]. 11914 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,9284,a(flip),b,11913,a)]. 11915 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(285,a,8265,a(flip),b,11914,a),flip(a)]. 11916 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(8878(a,1),9265(a,2,2))]. 11917 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(78(a,1),11916(a,2,2,2,1))]. 11918 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4220(a,1),11917(a,2,2))]. 11919 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4084(a,1),11918(a,1,2,1))]. 11920 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(11918(a,1),7561(a,1,1,2)),flip(a)]. 11921 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(9772(a,1),11919(a,1,2)),flip(a)]. 11922 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(78(a,1),11921(a,2,2,2,1))]. 11923 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(7994(a,1),11922(a,2,2))]. 11924 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(5852(a,1),11923(a,2,2))]. 11925 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(285,a,9234,a(flip),b,11924,a),flip(a)]. 11926 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),9549(a,1,2,1))]. 11927 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),11926(a,1,2,2,1,1))]. 11928 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(830(a,1),11927(a,1,2))]. 11929 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9635(a,1),11928(a,1,2))]. 11930 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(6179,a,11929,a),flip(a)]. 11932 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3341(a,1),11930(a,2,1))]. 11933 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6238(a,1),11932(a,1,1))]. 11934 R(K(x,y),K(y,z),u) = K(x,y). [hyper(869,a,11933,a)]. 11935 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(14(a,1),11933(a,1,2))]. 11937 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(11934(a,1),2570(a,1,1)),flip(a)]. 11939 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(224,a,11935,a,b,15,a),flip(a)]. 11940 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(123,a,10740,a(flip),b,11935,a)]. 11941 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(123,a,11935,a(flip),b,5191,a)]. 11942 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2229(a,2),11935(a,1,1))]. 11943 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(8549(a,1),11935(a,1,1)),flip(a)]. 11944 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5106(a,1),11940(a,1,1))]. 11945 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(285,a,10745,a,b,11942,a),flip(a)]. 11946 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5360(a,1),11942(a,2,2))]. 11947 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,11945,a)]. 11948 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(224,a,11945,a,b,15,a),flip(a)]. 11952 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(285,a,4200,a(flip),b,11947,a),flip(a)]. 11953 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11443,a(flip),b,11947,a),flip(a)]. 11958 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7687(a,1),11947(a,1,2))]. 11960 L(x,K(y,z),K(u,K(z,w))) = x. [para(7881(a,1),11947(a,1,3))]. 11961 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(11947(a,1),11054(a,1,1,1)),flip(a)]. 11962 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1176,a,11958,a),flip(a)]. 11963 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1176,a,11960,a),flip(a)]. 11964 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(11952(a,1),10568(a,1,2,3))]. 11965 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,11449,a(flip),b,11964,a),flip(a)]. 11966 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(122,a,5360,a(flip),b,11946,a)]. 11967 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5726,a,11953,a)]. 11969 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7940(a,1),11953(a,1,1))]. 11970 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(2229(a,1),11966(a,1,1))]. 11971 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(285,a,5130,a(flip),b,11967,a)]. 11972 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11953,a(flip),b,11967,a)]. 11973 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10571(a,1),11969(a,1,1,2)),flip(a)]. 11974 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(285,a,11942,a,b,11970,a),flip(a)]. 11975 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(285,a,5150,a(flip),b,11972,a),flip(a)]. 11976 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11972(a,1),4577(a,1,2))]. 11977 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(11972(a,1),5207(a,1))]. 11978 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(66,a,11154,a(flip),b,11948,a)]. 11979 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5360(a,1),11948(a,1,2,2)),flip(a)]. 11980 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5190(a,1),11971(a,2,1)),flip(a)]. 11981 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(66,a,11758,a(flip),b,11978,a),flip(a)]. 11982 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2229(a,1),11961(a,1,2,2))]. 11983 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11963(a,2),847(a,1,2))]. 11984 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(66,a,10765,a(flip),b,11980,a)]. 11985 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(11982(a,1),7436(a,1,1))]. 11986 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5900,a,11984,a)]. 11987 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(66,a,10767,a,b,11986,a)]. 11988 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(11986(a,2),5303(a,2,2)),flip(a)]. 11989 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8307(a,1),11986(a,1,1))]. 11990 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(200(a,2),11944(a,1,2,2,2))]. 11991 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(10228(a,1),11973(a,2,1))]. 11992 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11953,a(flip),b,11991,a),flip(a)]. 11993 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10571(a,1),11992(a,1,2,2))]. 11994 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(285,a,11972,a,b,11993,a)]. 11995 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(11066,a,11941,a)]. 11996 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7500(a,1),11985(a,1,1,1)),flip(a)]. 11997 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11969(a,1),11996(a,2,1))]. 11998 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(285,a,5119,a,b,11997,a),flip(a)]. 11999 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5334(a,1),11998(a,1,2))]. 12000 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7881(a,1),11987(a,1,2,2,2))]. 12001 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8307(a,1),11989(a,1,2)),flip(a)]. 12002 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(285,a,11986,a(flip),b,12001,a),flip(a)]. 12005 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7702(a,1),12002(a,1,1)),flip(a)]. 12006 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11282,a,11995,a)]. 12007 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7942(a,1),12006(a,1,1)),flip(a)]. 12008 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(285,a,11967,a(flip),b,12007,a),flip(a)]. 12009 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(11977,a,12008,a(flip)),flip(a)]. 12010 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2229(a,2),12008(a,1,2,1))]. 12011 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(37,a,5130,a(flip),b,12010,a),flip(a)]. 12012 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12010(a,1),11975(a,1,1))]. 12013 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(66,a,11999,a,b,12011,a)]. 12014 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(124,a,12011,a(flip),b,5125,a(flip))]. 12015 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2229(a,1),12011(a,2,2))]. 12016 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2229(a,1),12015(a,1,1))]. 12017 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(66,a,12009,a(flip),b,12016,a)]. 12018 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(66,a,12005,a(flip),b,12017,a),flip(a)]. 12020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12018(a,1),11383(a,2,2))]. 12022 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5409,a,12014,a)]. 12023 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11279(a,1),12022(a,1,1))]. 12024 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4463,a,12000,a)]. 12025 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7881(a,1),12024(a,1,1))]. 12027 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(66,a,9701,a(flip),b,11965,a),flip(a)]. 12028 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9729(a,1),12027(a,2,2))]. 12029 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(285,a,4292,a(flip),b,12028,a),flip(a)]. 12030 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9393(a,1),12029(a,1,1,1))]. 12031 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10801(a,1),12030(a,1,1)),flip(a)]. 12033 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12031(a,1),5576(a,1))]. 12034 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(285,a,11935,a(flip),b,12020,a),flip(a)]. 12036 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(11934(a,1),11937(a,2,2,1,1))]. 12037 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12036(a,2,2,1))]. 12039 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12037(a,1,1,2,1))]. 12040 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12039(a,1),466(a,1,1,1)),flip(a)]. 12041 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12039(a,2),6951(a,1,1))]. 12042 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7860(a,1),12041(a,1,1,1,2,1))]. 12043 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(10155(a,1),12042(a,1,1,1,2))]. 12044 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12025(a,1),12043(a,1,1,1))]. 12045 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5334(a,1),6060(a,1,2,1))]. 12046 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5493(a,1),7505(a,1,1))]. 12047 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5493(a,1),12046(a,1,2,1,1)),flip(a)]. 12048 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5320(a,1),12047(a,2,2,1))]. 12049 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6090(a,1),12048(a,2,2))]. 12050 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5126(a,1),12049(a,1,1,1)),flip(a)]. 12051 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6090(a,1),12050(a,2,1,2))]. 12052 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6065(a,1),8985(a,1,1,2))]. 12053 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * L(x,y,(x * y) \ 1)) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),12045(a,1,2,2))]. 12054 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * (((1 / (x * y)) * y) * L(x,y,(x * y) \ 1))) = K(y,x) \ ((1 / (x * y)) * y). [para(9172(a,1),12053(a,1,2))]. 12055 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * ((1 / (x * y)) * (y * x))) = K(y,x) \ ((1 / (x * y)) * y). [para(3667(a,1),12054(a,1,2,2))]. 12056 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * K(y,x)) = K(y,x) \ ((1 / (x * y)) * y). [para(5874(a,2),12055(a,1,2,2))]. 12057 K(x,y) \ ((1 / (y * x)) * x) = 1 / L(y,x,(y * x) \ 1). [hyper(5365,a,12056,a),flip(a)]. 12058 K(x,y) * ((1 / (x * y)) * y) = 1 / L(x,y,(x * y) \ 1). [hyper(5464,a,12057,a)]. 12060 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = L(x,y,(x * y) \ 1). [hyper(180,a,12058,a(flip))]. 12062 x / a((x * y) \ 1,y,x) = L(x,y,(x * y) \ 1). [hyper(66,a,11712,a(flip),b,12060,a)]. 12063 a((x * y) \ 1,y,x) / x = 1 / L(x,y,(x * y) \ 1). [para(12062(a,1),11659(a,1,2)),flip(a)]. 12064 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(10931(a,1),12052(a,1,1))]. 12065 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(8984(a,1),12064(a,1,2)),flip(a)]. 12066 (((x * y) \ 1) \ 1) * ((y * x) \ 1) = (x * y) * (1 / (y * x)). [hyper(124,a,7576,a(flip),b,12065,a(flip))]. 12067 (((((1 / (1 / x)) / y) * y) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(11483(a,2),12066(a,1,2,1))]. 12068 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4228(a,1),6023(a,1,1)),flip(a)]. 12069 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4191(a,1),12068(a,2,2,1))]. 12070 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6042(a,1),12069(a,1,2,1))]. 12071 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4181(a,1),12070(a,1,1)),flip(a)]. 12072 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(118(a,1),12071(a,2,2,1))]. 12073 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4331(a,1),12072(a,1,1))]. 12074 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5800(a,1),6621(a,1,1)),flip(a)]. 12075 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5143(a,1),12074(a,2,1))]. 12076 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(285,a,6253,a(flip),b,12075,a),flip(a)]. 12077 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(9548(a,1),12076(a,1,2,1))]. 12078 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3036(a,1),12077(a,1,2))]. 12079 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(8885(a,1),12078(a,1,2)),flip(a)]. 12080 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(12079(a,1),8464(a,1,1,1)),flip(a)]. 12082 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3742(a,1),12080(a,1,1)),flip(a)]. 12083 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(285,a,9473,a(flip),b,12082,a),flip(a)]. 12084 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(285,a,9761,a(flip),b,12083,a),flip(a)]. 12085 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(66,a,6748,a(flip),b,12084,a)]. 12086 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(66,a,10298,a(flip),b,12085,a)]. 12087 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(282(a,1),12086(a,1,1,1))]. 12088 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4271(a,1),12086(a,1,1,1))]. 12089 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(12086(a,1),5805(a,1,2,1,2))]. 12090 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(12086(a,1),11213(a,2,1,1,2))]. 12091 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [hyper(66,a,12086,a(flip),b,12087,a),flip(a)]. 12092 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [hyper(285,a,11487,a(flip),b,12088,a),flip(a)]. 12093 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,12086,a(flip),b,12092,a)]. 12094 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(15(a,1),12093(a,1,2,2)),flip(a)]. 12095 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [hyper(285,a,8464,a(flip),b,12091,a),flip(a)]. 12096 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [hyper(66,a,12094,a(flip),b,12095,a),flip(a)]. 12097 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(66,a,9012,a(flip),b,12089,a),flip(a)]. 12098 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [hyper(285,a,8836,a(flip),b,12090,a),flip(a)]. 12099 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(66,a,11212,a(flip),b,12098,a)]. 12100 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [hyper(66,a,12096,a,b,12099,a)]. 12101 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(90(a,1),12100(a,1,1,2,1)),flip(a)]. 12102 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [hyper(66,a,11380,a,b,12101,a)]. 12103 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(10960,a,12102,a),flip(a)]. 12104 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(66,a,9425,a(flip),b,12103,a)]. 12105 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(66,a,8466,a(flip),b,12103,a),flip(a)]. 12106 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(10983,a,12104,a)]. 12107 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(10982,a,12104,a)]. 12108 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(66,a,8172,a,b,12106,a)]. 12109 K(((x * y) / z) \ y,y) = K(z / x,y). [para(16(a,1),12108(a,1,1,2)),flip(a)]. 12110 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(66,a,6716,a(flip),b,12105,a)]. 12111 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),10552(a,1,1))]. 12112 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12111(a,1,2,1,1,1))]. 12113 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9225(a,1),12112(a,1,2,1,1))]. 12114 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(5320(a,1),12113(a,1,2,1))]. 12115 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12114(a,1,2,2))]. 12116 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7681(a,2),10763(a,2,2))]. 12117 (((1 / (1 / x)) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(17(a,1),12067(a,1,1,1,1))]. 12119 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * ((1 / (1 / (y * (x / y)))) \ 1). [para(184(a,1),12117(a,1,1)),flip(a)]. 12120 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(90(a,1),12119(a,2,2))]. 12121 (1 / (1 / x)) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [hyper(293,a,12120,a)]. 12124 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(10415(a,1),12116(a,2,2))]. 12125 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). [hyper(285,a,7396,a(flip),b,12124,a),flip(a)]. 12127 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [para(7761(a,1),12125(a,2,2))]. 12128 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(285,a,9707,a(flip),b,12127,a),flip(a)]. 12129 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7682(a,1),12128(a,2,2))]. 12130 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7980(a,1),12129(a,1,2))]. 12131 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(7410,a,12130,a)]. 12134 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(12131(a,1),11098(a,1))]. 12135 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10174(a,1),9605(a,1,1))]. 12136 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(11925(a,1),11920(a,2,1,2))]. 12137 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),11983(a,1,1,3,1))]. 12138 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6534(a,1),11990(a,1,2,1))]. 12139 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3858(a,1),12138(a,1,2,2)),flip(a)]. 12140 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9879(a,1),12139(a,2,2))]. 12141 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(14(a,1),12140(a,2,2,1))]. 12142 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12141(a,1,1,2))]. 12143 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8628(a,1),12142(a,1,1))]. 12144 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12143(a,1,2,1))]. 12146 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7148(a,1),12144(a,1,2))]. 12147 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8331(a,1),12146(a,1,2))]. 12148 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7248(a,1),12147(a,1,2)),flip(a)]. 12149 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(285,a,9312,a,b,12148,a),flip(a)]. 12151 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8738(a,1),12135(a,1,1,2))]. 12152 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7881(a,1),12151(a,1,1))]. 12154 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8266(a,1),12152(a,1,1,2))]. 12155 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(14(a,1),12154(a,1,1,2,1,2))]. 12156 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7884(a,1),12155(a,1,1))]. 12157 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7960(a,1),12156(a,1,1))]. 12158 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7929(a,1),12157(a,1,1))]. 12159 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7881(a,1),12158(a,1,1))]. 12160 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10481(a,1),12159(a,1,2))]. 12161 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(7560,a,12160,a)]. 12162 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7761(a,1),12161(a,1,2,1))]. 12163 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(12162(a,1),46(a,1))]. 12164 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9873(a,1),12137(a,1,1,3))]. 12165 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7715(a,2),12164(a,1,1,3))]. 12167 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),12165(a,1,2,1,1))]. 12168 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11942(a,1),12167(a,1,2))]. 12169 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7881(a,1),12168(a,2,2,1))]. 12170 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(9873(a,1),12169(a,2,2))]. 12171 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7715(a,2),12170(a,2,2))]. 12173 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(11033(a,1),12171(a,1,1))]. 12174 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(66,a,11939,a(flip),b,12173,a),flip(a)]. 12175 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(66,a,2237,a(flip),b,12174,a)]. 12176 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7681(a,2),12175(a,1,2))]. 12177 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9741(a,1),6242(a,1,1)),flip(a)]. 12178 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(285,a,9286,a,b,12177,a),flip(a)]. 12180 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5219(a,1),12178(a,2,1))]. 12181 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9741(a,1),6243(a,1,1)),flip(a)]. 12182 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(285,a,9286,a,b,12181,a),flip(a)]. 12184 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5219(a,1),12182(a,2,1))]. 12185 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(285,a,9802,a(flip),b,12184,a),flip(a)]. 12186 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4187(a,2),12185(a,1,2))]. 12187 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9737(a,1),12186(a,1,2,1))]. 12188 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4182(a,2),12187(a,1,2,1))]. 12190 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),6821(a,1,2,1))]. 12191 (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(10318(a,1),9544(a,1,1)),flip(a)]. 12192 (1 / x) * (((1 / x) / (y * ((1 / x) / y))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(7173(a,1),12191(a,1,2,1,2))]. 12194 (1 / x) * (K(y \ (1 / x),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),12192(a,1,2,1))]. 12195 (1 / x) * (K(y \ (x \ 1),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),12194(a,1,2,1))]. 12196 (1 / x) * (1 / (y * ((1 / x) / y))) = (x \ 1) / (y * ((1 / x) / y)). [para(11312(a,1),12195(a,1,2))]. 12197 (1 / x) * (1 / (y * ((1 / x) / y))) = ((y \ (x \ 1)) * y) * x. [hyper(285,a,6824,a(flip),b,12196,a),flip(a)]. 12198 ((x \ ((1 / y) \ 1)) * x) * (1 / y) = y * (1 / (x * (y / x))). [hyper(66,a,12121,a(flip),b,12197,a),flip(a)]. 12199 ((x \ y) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(90(a,1),12198(a,1,1,1,2))]. 12200 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(8907(a,1),10271(a,2,1))]. 12201 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(9984(a,1),12200(a,2,1))]. 12202 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(3339(a,1),12201(a,2,2))]. 12204 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(6468(a,1),12202(a,2,2))]. 12205 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(285,a,5792,a(flip),b,12204,a),flip(a)]. 12206 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2606(a,1),12205(a,1,2,3))]. 12207 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4803(a,1),12206(a,1,2))]. 12208 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(1089,a,12207,a)]. 12209 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(66,a,1535,a(flip),b,12208,a),flip(a)]. 12210 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [para(117(a,2),12209(a,1,1))]. 12211 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12210(a,2,2))]. 12212 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),12211(a,2,2,1))]. 12213 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(66,a,10307,a(flip),b,12212,a),flip(a)]. 12216 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(11966(a,1),11988(a,2,1,1))]. 12217 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),12190(a,1,2,1,1))]. 12218 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(112(a,1),12217(a,1,2)),flip(a)]. 12219 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(112(a,1),12218(a,2,2,1))]. 12220 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(6681(a,1),12219(a,2,2,1,1))]. 12221 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(285,a,6136,a(flip),b,12220,a),flip(a)]. 12222 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(285,a,6934,a(flip),b,12221,a),flip(a)]. 12223 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(571(a,1),12222(a,1,2,2,2))]. 12224 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(66,a,6935,a(flip),b,12223,a),flip(a)]. 12225 K(x,R(y \ 1,z,u) \ (x \ 1)) = R(K(x,x \ y),z,u). [hyper(66,a,9319,a(flip),b,12224,a),flip(a)]. 12226 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(66,a,7307,a(flip),b,12224,a),flip(a)]. 12227 K(x,(y * z) / (T(y,z) * x)) = R(K(x,x \ z),z,y). [hyper(66,a,8926,a(flip),b,12225,a)]. 12228 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),y,z). [hyper(66,a,8688,a,b,12227,a)]. 12229 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12226,a),flip(a)]. 12230 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(10936(a,1),6296(a,1,3)),flip(a)]. 12231 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(15(a,1),12230(a,2,3,1,1))]. 12232 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(285,a,4802,a(flip),b,12231,a),flip(a)]. 12234 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(5292(a,1),12232(a,1,1))]. 12235 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(98(a,1),12234(a,1,2,2))]. 12236 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(10936(a,1),12235(a,1,2)),flip(a)]. 12237 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(15(a,1),12236(a,2,2,1,1))]. 12238 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(285,a,5334,a(flip),b,12237,a),flip(a)]. 12240 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(285,a,6189,a(flip),b,12238,a),flip(a)]. 12241 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12240(a,1),394(a,1,1))]. 12242 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(66,a,7676,a(flip),b,12241,a),flip(a)]. 12243 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6097(a,1),9700(a,1,1,1))]. 12244 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6134(a,1),12243(a,1,1)),flip(a)]. 12245 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(285,a,10228,a(flip),b,12244,a),flip(a)]. 12247 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6097(a,1),12245(a,1,1))]. 12248 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(66,a,11208,a,b,12247,a)]. 12249 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6097(a,1),12248(a,1,2,1))]. 12250 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10160(a,1),12249(a,1,2))]. 12251 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9827(a,1),12250(a,1,2,2))]. 12253 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9830(a,1),12251(a,1,2,2))]. 12254 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(7896,a,12253,a),flip(a)]. 12256 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(11645,a,12254,a)]. 12257 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7512,a,12254,a)]. 12259 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11967,a(flip),b,12257,a),flip(a)]. 12260 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(285,a,10199,a(flip),b,12257,a),flip(a)]. 12261 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(606(a,1),12257(a,1,2,2)),flip(a)]. 12262 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12260(a,1),11274(a,1,2))]. 12263 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(66,a,11969,a(flip),b,12259,a)]. 12264 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2229(a,1),12263(a,1,2)),flip(a)]. 12265 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(66,a,11972,a,b,12264,a)]. 12266 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(285,a,5130,a(flip),b,12265,a)]. 12267 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(37,a,5130,a(flip),b,12266,a)]. 12268 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(285,a,10585,a(flip),b,8963,a),flip(a)]. 12269 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(285,a,7884,a(flip),b,12268,a),flip(a)]. 12270 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),9490(a,1,1,1))]. 12271 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6897(a,1),12270(a,1,1,2))]. 12272 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(11515(a,1),12271(a,1,1,2))]. 12273 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),12272(a,1,2,1))]. 12274 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5334(a,1),12273(a,1,2))]. 12275 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(66,a,11946,a(flip),b,12274,a),flip(a)]. 12277 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9289(a,1),12275(a,1,2,1,2,1))]. 12278 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(7679(a,1),12277(a,1,2,1))]. 12279 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9466(a,1),12278(a,1,2))]. 12280 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(7684,a,12279,a)]. 12281 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(12280(a,1),12115(a,1,2))]. 12282 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(5454,a,12281,a),flip(a)]. 12284 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(5320(a,1),12282(a,1,1))]. 12285 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(66,a,9225,a(flip),b,12284,a)]. 12286 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,9728,a(flip),b,12285,a),flip(a)]. 12287 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12286,a),flip(a)]. 12289 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3075(a,1),8931(a,1,1,1,2))]. 12290 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10160(a,1),11847(a,1,1))]. 12291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(285,a,14,a(flip),b,12040,a),flip(a)]. 12293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12039(a,1),12291(a,1,3))]. 12296 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4815(a,1),12289(a,1,1,1))]. 12297 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(115(a,1),12296(a,1,1,1)),flip(a)]. 12301 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3075(a,1),12297(a,2,1,3,2))]. 12302 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(14(a,1),12301(a,2,1,3))]. 12306 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4802(a,1),12302(a,2,1))]. 12307 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(87(a,1),12306(a,1,1,1,1,2))]. 12309 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3075(a,1),12307(a,1,1,2))]. 12310 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(66,a,6737,a(flip),b,12309,a)]. 12312 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(27(a,2),12310(a,1,1,1,1)),flip(a)]. 12313 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(9829(a,1),12290(a,1,1,2))]. 12315 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10163(a,1),12313(a,1,1))]. 12316 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(10156(a,1),12315(a,1,1)),flip(a)]. 12317 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(7996(a,1),12316(a,2,2,1))]. 12319 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(6142(a,1),12317(a,1,1))]. 12320 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(66,a,9196,a(flip),b,12319,a),flip(a)]. 12322 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11966(a,1),11976(a,1,2,1,1))]. 12323 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11279(a,1),12322(a,1,2,1))]. 12324 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7942(a,1),12323(a,1,2,1,1))]. 12325 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11953(a,1),12324(a,1,2,1))]. 12326 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12012(a,1),12325(a,1,2)),flip(a)]. 12327 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(285,a,12022,a(flip),b,12326,a),flip(a)]. 12328 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(11966(a,1),12327(a,1,2))]. 12329 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5316(a,1),6188(a,1,1,1,2))]. 12330 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6829(a,1),12329(a,1,1,1))]. 12331 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1580(a,1),12330(a,1,2))]. 12332 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(760,a,12331,a),flip(a)]. 12333 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1580(a,1),12332(a,1,1))]. 12334 (x * (y * (1 / (z * (y / z))))) * a(x,K((1 / y) \ K(z \ y,z),1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(12199(a,1),6825(a,1,1,2))]. 12335 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),7314(a,2,2))]. 12336 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12335(a,1,1,3,2,2))]. 12337 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12336(a,1,2,1,2,2))]. 12338 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(7313,a,12337,a)]. 12339 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5083(a,1),12334(a,1,2,2,1))]. 12340 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(4598(a,1),12339(a,1,2,2))]. 12341 (x * (y * (1 / (z * (y / z))))) * a(x,K(y,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5265(a,1),12340(a,1,2,2))]. 12342 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = (x * (y * (1 / (z * (y / z))))) * 1. [para(4899(a,1),12341(a,1,2)),flip(a)]. 12344 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [hyper(285,a,13,a(flip),b,12342,a),flip(a)]. 12346 (x * K((y \ z) * y,1 / z)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(5083(a,1),12344(a,1,1,2,1))]. 12347 (x * K((y \ z) * y,z \ 1)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(4598(a,1),12346(a,1,1,2))]. 12348 (x * K(y,y \ 1)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [para(5265(a,1),12347(a,1,1,2))]. 12349 x / ((y \ 1) * (z * (y / z))) = x * (y * (1 / (z * (y / z)))). [hyper(66,a,7421,a(flip),b,12348,a)]. 12351 K((T(x \ y,y \ x) * (1 / (x \ y))) \ (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(6883(a,1),11348(a,1,1,1))]. 12352 K(((T(x \ y,y \ x) \ 1) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(11456(a,1),12351(a,1,1))]. 12353 K((T((x \ y) \ 1,x \ y) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(2501(a,2),12352(a,1,1,1,1))]. 12354 K((T(x \ y,y \ x) * (1 / (x \ y))) * (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(6883(a,1),12353(a,1,1,1))]. 12355 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2618(a,1),10666(a,2,1))]. 12356 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(11518(a,1),12355(a,2,1))]. 12357 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(12(a,1),12356(a,2,2,2))]. 12358 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(16(a,1),12357(a,2,2))]. 12359 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(285,a,5190,a,b,12358,a),flip(a)]. 12361 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(10664(a,1),12359(a,1,1,1,2,1)),flip(a)]. 12362 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(12(a,1),12361(a,2,1,1,2))]. 12364 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(16(a,1),12362(a,2,1,1))]. 12365 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12364(a,1),10665(a,1,2))]. 12366 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2498,a,12365,a)]. 12367 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11805,a,12366,a),flip(a)]. 12369 x * K(y \ L(y,z,u),a(u,z,y)) = x. [hyper(124,a,12367,a,b,79,a)]. 12370 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5349,a,12369,a)]. 12371 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12370(a,1),6769(a,1,2)),flip(a)]. 12372 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(180,a,12371,a)]. 12374 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(605(a,1),11242(a,1,1))]. 12375 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5166(a,1),12374(a,1,1,1,2))]. 12376 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(66,a,5945,a(flip),b,12375,a),flip(a)]. 12377 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2155(a,1),12376(a,1,1,2))]. 12378 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(838(a,1),12377(a,1,1,2,1,2))]. 12379 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1360(a,1),12378(a,1,1,2,1,2))]. 12380 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(209(a,1),12379(a,1,1,2))]. 12381 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(513,a,12380,a),flip(a)]. 12383 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6275,a,12381,a),flip(a)]. 12386 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(118(a,1),12381(a,2,1))]. 12387 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5334(a,2),12383(a,1,1))]. 12388 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(12383(a,1),7511(a,1,1))]. 12390 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(285,a,6322,a,b,12387,a)]. 12391 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(124,a,12386,a(flip),b,6204,a(flip))]. 12392 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(14(a,1),12391(a,1,2,1)),flip(a)]. 12393 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(6756,a,12392,a),flip(a)]. 12394 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6174,a,12392,a)]. 12395 R(x,y,K(x \ 1,z)) = x. [hyper(475,a,12392,a)]. 12397 R(x \ 1,y,K(x,z)) = x \ 1. [para(3341(a,1),12395(a,1,3))]. 12398 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(12397(a,1),112(a,1,1)),flip(a)]. 12400 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [hyper(66,a,6650,a(flip),b,12394,a)]. 12401 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4586(a,1),12394(a,1,1,1)),flip(a)]. 12402 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(12394(a,1),7399(a,1,1,2)),flip(a)]. 12403 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(509(a,1),12400(a,1,2))]. 12404 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(66,a,6107,a(flip),b,12401,a)]. 12405 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(113(a,1),12404(a,1,2))]. 12406 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(285,a,7399,a(flip),b,12402,a),flip(a)]. 12407 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4221(a,2),12406(a,2,2))]. 12409 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(12393(a,1),6637(a,1,1))]. 12410 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(6756,a,12398,a),flip(a)]. 12411 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,12398,a)]. 12412 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [hyper(224,a,12398,a,b,5360,a),flip(a)]. 12413 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(66,a,8735,a(flip),b,12411,a)]. 12414 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [hyper(66,a,6637,a(flip),b,12411,a)]. 12416 T(x,L(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12413,a(flip),b,5125,a(flip)),flip(a)]. 12418 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12416,a),flip(a)]. 12419 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(453(a,1),12418(a,1,2)),flip(a)]. 12420 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(66,a,9801,a,b,12405,a)]. 12421 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(606(a,1),12420(a,1,2,2))]. 12422 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5334(a,2),12390(a,1,1))]. 12423 K(x / K(y \ 1,z),y) = K(x,y). [hyper(37,a,8343,a,b,12422,a)]. 12424 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(37,a,5130,a(flip),b,12422,a)]. 12425 K(x * K(y \ 1,z),y) = K(x,y). [para(16(a,1),12423(a,1,1)),flip(a)]. 12426 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [para(12423(a,1),5344(a,1,2)),flip(a)]. 12427 K(x * K(y,z \ 1),z) = K(x,z). [para(7396(a,1),12423(a,1,1))]. 12428 K(x / T(y,z \ 1),z) = K(x / y,z). [para(7419(a,1),12423(a,1,1)),flip(a)]. 12431 K(K(x,y \ 1) * z,y) = K(z,y). [para(5334(a,1),12424(a,1,1))]. 12432 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5585(a,1),12424(a,1,1)),flip(a)]. 12433 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6468(a,1),12425(a,1,1,2))]. 12434 K(x * K(y,y \ z),y / z) = K(x,y / z). [para(5612(a,1),12427(a,1,1,2))]. 12435 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5818(a,1),12427(a,1,1))]. 12436 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5612(a,1),12431(a,1,1,1))]. 12439 K(x,y / K(x \ 1,z)) = K(x,y). [hyper(285,a,5344,a(flip),b,12426,a),flip(a)]. 12440 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3341(a,1),12439(a,1,2,2))]. 12441 K(x,y * K(z,x \ 1)) = K(x,y). [para(7396(a,1),12439(a,1,2))]. 12442 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6392(a,1),12441(a,1,2,2))]. 12443 K(x,K(x \ 1,y) * z) = K(x,z). [para(7723(a,1),12441(a,1,2)),flip(a)]. 12444 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(124,a,12443,a(flip),b,5125,a(flip)),flip(a)]. 12445 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5545(a,1),12443(a,1,2))]. 12446 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(6254(a,1),12443(a,1,2)),flip(a)]. 12447 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(11083,a,12428,a)]. 12449 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(7419(a,1),12440(a,1,2)),flip(a)]. 12450 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(285,a,5130,a,b,12444,a),flip(a)]. 12452 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(5545(a,1),12450(a,1,2))]. 12453 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5854(a,1),12450(a,1,2)),flip(a)]. 12456 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,(y * x) \ (x * z)). [hyper(66,a,9754,a(flip),b,12445,a)]. 12458 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6585(a,1),12433(a,1,1)),flip(a)]. 12459 K(x * (y / z),z / y) = K(x * (z \ y),z / y). [para(6523(a,1),12434(a,1,1))]. 12460 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5854(a,1),12436(a,1,1)),flip(a)]. 12461 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6523(a,1),12442(a,1,2))]. 12462 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5360(a,1),12446(a,1,2,2)),flip(a)]. 12464 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8573(a,1),12462(a,1,2,2))]. 12466 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(12447(a,2),11083(a,1))]. 12467 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((K(x * (L(z,u,w) \ y),L(z,u,w) / y) * L(z,u,w)) / y,z). [para(12459(a,1),10923(a,1,1,1,1)),flip(a)]. 12468 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(66,a,10701,a,b,12460,a)]. 12469 T(K(x \ y,z * (y \ x)),x) = K((x / y) \ 1,z * (x / y)). [para(12461(a,1),8067(a,1,1))]. 12470 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6603(a,1),12464(a,1,2,2)),flip(a)]. 12471 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(404(a,1),12403(a,2,2,1,2))]. 12472 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(66,a,6247,a(flip),b,12412,a),flip(a)]. 12473 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(5019,a,12472,a),flip(a)]. 12474 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(4760,a,12472,a),flip(a)]. 12475 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4941,a,12473,a),flip(a)]. 12477 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(10004(a,1),12474(a,2,2))]. 12478 T(x \ K(y,z),K(x,y)) = x \ K(y,z). [para(2227(a,1),12475(a,2,2))]. 12479 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(12475(a,2),10485(a,1,2))]. 12480 T(K(x,y) / z,T(z,x)) = z \ K(x,y). [hyper(10093,a,12478,a)]. 12481 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(12256(a,2),12479(a,1,2))]. 12482 K(x,(y * z) \ T(z,u)) = T(K(x,y \ K(z,u)),z). [para(12480(a,1),10823(a,1,1,2)),flip(a)]. 12483 T(K(x,(y / z) \ K(z,u)),z) = K(x,y \ T(z,u)). [para(17(a,1),12482(a,1,2,1)),flip(a)]. 12484 K(x,T(y / z,z) \ K(z,u)) = K(x,y \ T(z,u)). [hyper(66,a,9550,a,b,12483,a)]. 12485 K(x,(y * z) \ T(y,u)) = K(x,z \ K(y,u)). [para(208(a,1),12484(a,1,2,1)),flip(a)]. 12486 K((x * y) \ T(x,z),u) = (u \ 1) / (u \ K(u,y \ K(x,z))). [para(12485(a,1),5633(a,1,2,2)),flip(a)]. 12487 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(66,a,12449,a(flip),b,12421,a)]. 12488 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(66,a,8686,a(flip),b,12487,a),flip(a)]. 12489 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(12488(a,1),6101(a,1,1))]. 12490 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ (x \ (x * z))). [hyper(285,a,9451,a(flip),b,12456,a),flip(a)]. 12491 K((x / y) \ 1,z * (x / y)) = K(y / x,z * (y \ x)). [hyper(10968,a,12469,a),flip(a)]. 12492 K(x / y,z * (y / x)) = K(x / y,z * (x \ y)). [hyper(10990,a,12491,a)]. 12493 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(12470(a,1),8377(a,1,1))]. 12494 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(66,a,11241,a,b,12477,a)]. 12495 K((x * y) \ T(x,z),u) = K(y \ K(x,z),u). [hyper(285,a,5633,a(flip),b,12486,a),flip(a)]. 12496 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(15(a,1),12495(a,1,1,1)),flip(a)]. 12497 K(T(x / y,T(y,x)) \ K(y,z),u) = K(x \ T(y,z),u). [para(3981(a,2),12496(a,1,1,1))]. 12498 T(K((x / y) \ K(y,z),u),T(y,x)) = K(x \ T(y,z),u). [hyper(66,a,8981,a(flip),b,12497,a)]. 12499 T(K(x \ T(y,z),u),T(y,x)) = K((x / y) \ K(y,z),u). [hyper(7987,a,12498,a)]. 12500 K((x / y) \ K(y,z),u) = T(K(x \ T(y,z),u),y). [hyper(66,a,10062,a(flip),b,12499,a),flip(a)]. 12501 K((x / y) \ K(y,z),u) = K(x \ T(y,z),T(u,y)). [hyper(285,a,7681,a,b,12500,a),flip(a)]. 12502 K((x / L(y,z,u)) \ K(L(y,z,u),w),(v5 * y) / v5) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(637(a,1),12501(a,2,2))]. 12503 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ z). [para(14(a,1),12490(a,2,2,2))]. 12504 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(14(a,1),12503(a,1,2,1,1)),flip(a)]. 12505 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(8428,a,12493,a)]. 12506 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(10942,a,12505,a),flip(a)]. 12508 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(10753,a,12388,a),flip(a)]. 12509 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(6275,a,12508,a),flip(a)]. 12513 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12508(a,2,2))]. 12514 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(285,a,12338,a(flip),b,12509,a),flip(a)]. 12516 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12513(a,1,1,2))]. 12517 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6275,a,12516,a),flip(a)]. 12518 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(30(a,2),12517(a,2,2))]. 12519 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(12517(a,2),6239(a,1,2))]. 12520 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(263,a,12519,a)]. 12521 R(K(x,y),z,x \ 1) = K(x,y). [hyper(475,a,12520,a)]. 12522 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(11080,a,12521,a)]. 12523 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [hyper(124,a,12522,a(flip),b,5805,a),flip(a)]. 12524 T(x,R(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12522,a(flip),b,5125,a(flip)),flip(a)]. 12526 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12524,a),flip(a)]. 12527 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(706(a,1),12526(a,1,2))]. 12528 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(285,a,3195,a(flip),b,12523,a),flip(a)]. 12529 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(122,a,12528,a,b,4428,a)]. 12530 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(66,a,10686,a(flip),b,12527,a)]. 12531 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(86(a,1),12530(a,1,2,2))]. 12532 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(118(a,1),12531(a,1,2)),flip(a)]. 12533 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(285,a,10694,a(flip),b,12532,a),flip(a)]. 12534 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(66,a,12453,a(flip),b,12533,a)]. 12535 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(66,a,12419,a(flip),b,12534,a)]. 12536 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(27(a,2),12534(a,1,2,1)),flip(a)]. 12537 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(12535(a,1),8359(a,1,1,2))]. 12538 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(66,a,9626,a(flip),b,12536,a)]. 12539 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(285,a,12452,a(flip),b,12538,a),flip(a)]. 12540 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(66,a,9607,a(flip),b,12539,a)]. 12541 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(657(a,1),12529(a,2,2))]. 12542 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5382(a,1),12541(a,1,2)),flip(a)]. 12543 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(12542(a,1),8608(a,1,2,1))]. 12544 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(66,a,9104,a(flip),b,12543,a)]. 12545 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(8364,a,12537,a),flip(a)]. 12546 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(122,a,12545,a(flip),b,5130,a(flip)),flip(a)]. 12547 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(285,a,5125,a,b,12546,a),flip(a)]. 12548 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(66,a,10804,a(flip),b,12547,a),flip(a)]. 12549 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(14(a,1),12548(a,1,2,1,2)),flip(a)]. 12550 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(242(a,1),12549(a,1,2,1,2))]. 12551 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3645(a,1),12407(a,1,2,1))]. 12552 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(66,a,5949,a(flip),b,12551,a)]. 12553 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(90(a,1),12552(a,2,2,1,2))]. 12554 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(79(a,1),12553(a,2,2,1))]. 12556 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(186(a,1),12554(a,2,2,2))]. 12557 L(K(x,y),z,y \ 1) = K(x,y). [para(12(a,1),12556(a,2,2))]. 12561 K(L(x,y,z \ 1),z) = K(x,z). [hyper(66,a,8726,a(flip),b,12557,a)]. 12562 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,6664,a(flip),b,12557,a)]. 12563 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [hyper(124,a,12557,a(flip),b,7068,a(flip))]. 12565 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(789(a,1),12561(a,1,1))]. 12566 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8015(a,1),12563(a,1,2)),flip(a)]. 12567 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,10689,a(flip),b,12562,a)]. 12568 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(285,a,12435,a(flip),b,12567,a),flip(a)]. 12569 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,12568,a)]. 12570 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(66,a,11303,a(flip),b,12569,a),flip(a)]. 12571 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(66,a,8626,a(flip),b,12569,a)]. 12572 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(116(a,1),12569(a,1,1,1)),flip(a)]. 12573 K(L(x,y,y \ 1) \ z,y) = K(x \ (y \ (z * y)),y). [hyper(285,a,9347,a(flip),b,12571,a),flip(a)]. 12574 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(285,a,8199,a(flip),b,12573,a),flip(a)]. 12575 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12574(a,1),5722(a,1,2,1,2))]. 12576 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(10953,a,12570,a)]. 12577 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(11084,a,12576,a),flip(a)]. 12579 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(116(a,1),12577(a,1,1,2)),flip(a)]. 12580 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(66,a,12432,a(flip),b,12572,a),flip(a)]. 12581 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(66,a,9123,a,b,12580,a)]. 12582 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(12581(a,1),11114(a,1,1))]. 12583 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(11321(a,1),12581(a,2,1,2,1))]. 12584 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(12466,a,12579,a),flip(a)]. 12585 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(66,a,11169,a,b,12584,a)]. 12586 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(285,a,12106,a(flip),b,12585,a),flip(a)]. 12587 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6120(a,2),12586(a,1,1))]. 12588 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(11000,a,12565,a)]. 12589 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5464,a,12582,a)]. 12590 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(38,a,11111,a,b,12589,a)]. 12591 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6626(a,2),12590(a,1,1))]. 12592 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(7270(a,1),12590(a,2,2,2,1))]. 12593 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(267(a,1),12591(a,2,2))]. 12594 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(285,a,6658,a(flip),b,12593,a),flip(a)]. 12596 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8015(a,1),12566(a,1,2,2)),flip(a)]. 12597 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5865,a,12575,a),flip(a)]. 12598 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2958(a,1),12597(a,1,1,1))]. 12599 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(66,a,6705,a(flip),b,12598,a)]. 12600 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(285,a,9402,a(flip),b,12599,a),flip(a)]. 12601 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(66,a,12588,a(flip),b,12600,a),flip(a)]. 12602 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(10953,a,12601,a),flip(a)]. 12603 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(285,a,12107,a(flip),b,12602,a),flip(a)]. 12604 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(14(a,1),12603(a,1,1,1)),flip(a)]. 12605 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(66,a,12109,a(flip),b,12604,a)]. 12606 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(16(a,1),12604(a,1,1,1)),flip(a)]. 12607 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(4597,a,12606,a)]. 12608 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8940,a,12607,a)]. 12610 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3062(a,2),12608(a,1,1,2))]. 12611 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(66,a,8937,a(flip),b,12610,a)]. 12613 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(66,a,9634,a(flip),b,12611,a)]. 12615 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,11915,a(flip),b,12613,a),flip(a)]. 12616 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8455,a,12615,a),flip(a)]. 12618 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(285,a,9355,a(flip),b,12616,a),flip(a)]. 12619 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(66,a,11731,a,b,12618,a)]. 12621 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12619(a,1),6963(a,1,1,1))]. 12622 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(66,a,9379,a(flip),b,12621,a),flip(a)]. 12624 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(17(a,1),12622(a,1,3,2)),flip(a)]. 12625 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,5977,a(flip),b,12409,a)]. 12626 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(66,a,5969,a(flip),b,12489,a)]. 12627 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(7396(a,1),12494(a,1,1,2))]. 12628 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(66,a,12229,a(flip),b,12626,a)]. 12629 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(7587(a,1),12627(a,1,1))]. 12631 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(12629(a,1),6129(a,1))]. 12633 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(489(a,1),12628(a,1,2,1)),flip(a)]. 12634 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(66,a,12550,a(flip),b,12471,a),flip(a)]. 12635 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(285,a,12403,a(flip),b,12634,a),flip(a)]. 12636 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(66,a,11501,a(flip),b,12635,a),flip(a)]. 12637 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(9881,a,12636,a)]. 12638 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(10958,a,12637,a)]. 12639 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(66,a,12414,a,b,12638,a)]. 12640 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(66,a,12504,a(flip),b,12639,a)]. 12641 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(66,a,9785,a(flip),b,12639,a),flip(a)]. 12642 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(15(a,1),12639(a,1,2,1)),flip(a)]. 12643 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(66,a,12410,a(flip),b,12642,a)]. 12644 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(66,a,10508,a(flip),b,12643,a)]. 12645 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(11218,a,12644,a),flip(a)]. 12646 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(66,a,7197,a(flip),b,12644,a),flip(a)]. 12647 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(90(a,1),12644(a,1,2,2,1)),flip(a)]. 12648 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(10954,a,12641,a)]. 12649 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(66,a,9591,a(flip),b,12648,a),flip(a)]. 12651 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(66,a,8020,a(flip),b,12649,a),flip(a)]. 12652 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(66,a,9792,a(flip),b,12645,a)]. 12654 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,12652,a),flip(a)]. 12655 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,9862,a(flip),b,12654,a),flip(a)]. 12656 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(12646(a,1),9651(a,2,1))]. 12657 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(9661,a,12647,a),flip(a)]. 12659 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(12657(a,1),5766(a,1))]. 12660 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8680,a(flip),b,12655,a)]. 12661 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(285,a,12413,a(flip),b,12660,a),flip(a)]. 12663 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(17(a,1),12661(a,1,2,1))]. 12664 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(66,a,8680,a,b,12663,a)]. 12665 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(15(a,1),12664(a,1,2,2,1)),flip(a)]. 12666 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(12665(a,1),6101(a,1,1))]. 12667 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(285,a,3344,a(flip),b,12651,a),flip(a)]. 12668 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(66,a,10856,a(flip),b,12667,a)]. 12669 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(285,a,9021,a,b,12668,a)]. 12670 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(66,a,6101,a(flip),b,12666,a),flip(a)]. 12671 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,7200,a(flip),b,12670,a),flip(a)]. 12672 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9111(a,1),12669(a,1,1))]. 12673 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(15(a,1),12672(a,2,2,1,2,1))]. 12674 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(285,a,7169,a,b,12673,a)]. 12676 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [hyper(124,a,12674,a(flip),b,5125,a(flip)),flip(a)]. 12677 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(285,a,5977,a(flip),b,12656,a),flip(a)]. 12678 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(66,a,7157,a(flip),b,12677,a)]. 12679 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(66,a,12287,a(flip),b,12678,a),flip(a)]. 12680 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,12625,a(flip),b,12679,a),flip(a)]. 12681 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(453(a,1),12680(a,1,2,1))]. 12683 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(12681(a,1),12659(a,1))]. 12684 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4409(a,1),12583(a,2,1,2))]. 12685 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4548(a,1),12592(a,2,2))]. 12686 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(285,a,6678,a(flip),b,12685,a),flip(a)]. 12687 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(5540(a,1),12684(a,2,1))]. 12688 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(285,a,6666,a(flip),b,12687,a),flip(a)]. 12690 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(15(a,1),12514(a,1,1)),flip(a)]. 12691 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(38,a,4932,a(flip),b,12690,a),flip(a)]. 12693 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(12691(a,1),6887(a,1,2,2,2))]. 12694 K((x / L(y,z,u)) \ K(L(y,z,u),w),T(y,v5)) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [hyper(8430,a,12502,a)]. 12695 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K((x / L(y,z,u)) \ 1,T(y,v5)). [hyper(66,a,8588,a(flip),b,12694,a),flip(a)]. 12697 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(L(y,z,u) / x,T(y,v5)). [hyper(285,a,5830,a(flip),b,12695,a),flip(a)]. 12698 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(x \ L(y,z,u),T(y,v5)). [hyper(285,a,7745,a(flip),b,12697,a),flip(a)]. 12699 K(x \ L(T(y,z),u,w),(v5 * y) / v5) = K(x \ L(y,u,w),T(y,v5)). [para(30(a,2),12698(a,1,1,2))]. 12700 K(x \ L(T(y,z),u,w),T(y,v5)) = K(x \ L(y,u,w),T(y,v5)). [hyper(8430,a,12699,a)]. 12701 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x * y)). [hyper(66,a,11827,a,b,12700,a)]. 12702 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(15(a,1),12693(a,1,2,2)),flip(a)]. 12703 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(285,a,5688,a(flip),b,12702,a),flip(a)]. 12705 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(6123(a,1),12703(a,1,2,2,2))]. 12706 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(66,a,7202,a(flip),b,12705,a)]. 12707 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(6565(a,1),12706(a,1,2,2))]. 12708 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(285,a,12670,a(flip),b,12707,a),flip(a)]. 12709 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(5767,a,12708,a)]. 12710 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(66,a,7265,a(flip),b,12708,a),flip(a)]. 12711 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,12671,a(flip),b,12710,a),flip(a)]. 12712 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(285,a,12633,a(flip),b,12711,a),flip(a)]. 12713 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(66,a,12709,a(flip),b,12712,a),flip(a)]. 12714 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(9881,a,12713,a)]. 12715 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(66,a,8683,a(flip),b,12714,a)]. 12716 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,8679,a(flip),b,12715,a),flip(a)]. 12717 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(116(a,1),12715(a,1,2,2)),flip(a)]. 12718 K(x,R(y / (z * u),z * u,x)) = K(x,(y * x) / ((z * x) * u)). [para(113(a,2),12715(a,1,2))]. 12719 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(66,a,10721,a(flip),b,12716,a),flip(a)]. 12720 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,9577,a(flip),b,12716,a)]. 12721 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(124,a,12720,a(flip),b,5125,a(flip))]. 12722 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(12720(a,1),5633(a,1,2,2))]. 12723 K(x,(y * x) / ((z * x) * u)) = K(x,y / (z * u)). [hyper(66,a,9089,a(flip),b,12718,a),flip(a)]. 12725 K(x,(((y * x) * z) / u) \ x) = K(x,u / (y * z)). [hyper(66,a,10854,a(flip),b,12723,a)]. 12726 K(x,y / ((1 / x) * z)) = K(x,(z / y) \ x). [para(88(a,1),12725(a,1,2,1,1)),flip(a)]. 12727 K(x,y / ((1 / x) * (z * x))) = K(x,y / z). [hyper(285,a,10862,a(flip),b,12726,a),flip(a)]. 12728 K(x,y / ((1 / x) * (x / z))) = K(x,y / (z \ 1)). [hyper(66,a,7263,a(flip),b,12727,a)]. 12729 K(x,((x / y) / z) \ x) = K(x,z / (y \ 1)). [hyper(66,a,12726,a(flip),b,12728,a)]. 12730 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (((y \ 1) * x) \ 1)). [para(200(a,2),12729(a,1,2,1,1))]. 12731 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(15(a,1),12719(a,1,2,2,2)),flip(a)]. 12732 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(25(a,2),12731(a,2,2))]. 12734 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10718,a,12732,a)]. 12735 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,R(z,y,T(x,z * y))). [hyper(66,a,10723,a,b,12732,a)]. 12736 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [hyper(66,a,11736,a(flip),b,12732,a)]. 12737 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [hyper(66,a,10717,a(flip),b,12732,a),flip(a)]. 12738 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(12732(a,1),30(a,2,1))]. 12739 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(12734(a,1),476(a,1,1))]. 12740 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [hyper(285,a,9021,a,b,12736,a)]. 12741 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [hyper(66,a,12228,a(flip),b,12737,a),flip(a)]. 12742 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(285,a,12740,a(flip),b,12741,a),flip(a)]. 12743 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(12742(a,1),10597(a,1,2))]. 12744 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(285,a,7681,a,b,12738,a),flip(a)]. 12745 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(32(a,2),12744(a,2,2))]. 12746 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(7681(a,2),12745(a,1,1))]. 12747 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(285,a,8622,a(flip),b,12746,a),flip(a)]. 12748 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(66,a,6813,a(flip),b,12739,a),flip(a)]. 12749 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5274(a,1),12748(a,2,1))]. 12750 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(66,a,9681,a(flip),b,12749,a)]. 12752 L(x,K(y,z),z * y) = x. [hyper(766,a,12750,a)]. 12753 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(513,a,12750,a)]. 12754 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(122,a,5130,a,b,12750,a)]. 12756 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(122,a,15,a(flip),b,12750,a),flip(a)]. 12757 L(x,K(y \ z,y),z) = x. [para(15(a,1),12752(a,1,3))]. 12758 L(x,K(y,y \ z),z) = x. [para(5612(a,1),12757(a,1,2))]. 12759 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(66,a,6278,a(flip),b,12758,a)]. 12760 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [hyper(124,a,12756,a(flip),b,5544,a)]. 12762 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(7884(a,2),12756(a,1,1))]. 12764 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(12631,a,12753,a)]. 12765 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(37,a,11579,a,b,12753,a)]. 12768 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(15(a,1),12759(a,1,2)),flip(a)]. 12769 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(12760(a,1),12312(a,2,1,1))]. 12770 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),12765(a,1,2)),flip(a)]. 12771 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(12768(a,1),12753(a,1,2)),flip(a)]. 12773 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(66,a,11862,a(flip),b,12754,a),flip(a)]. 12774 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7409,a,12773,a)]. 12775 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5452,a,12773,a)]. 12776 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(2236,a,12773,a)]. 12777 x \ R(x,y,x) = a(x,y,x). [hyper(66,a,5764,a(flip),b,12773,a)]. 12778 x * a(x,y,x) = R(x,y,x). [hyper(124,a,12773,a(flip),b,5764,a(flip))]. 12780 K(x,x * y) * a(x,y,x) = K(x,y). [para(12773(a,1),5445(a,1,2))]. 12781 T(x * y,x) / x = y * a(x,y,x). [para(12773(a,1),7477(a,1,2)),flip(a)]. 12782 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12773(a,1),11094(a,1,2))]. 12783 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12773(a,1),11055(a,2,2))]. 12784 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12773(a,1),11942(a,1,1)),flip(a)]. 12785 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(12773(a,1),11945(a,1,1)),flip(a)]. 12786 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12773(a,1),11966(a,1,1)),flip(a)]. 12787 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(66,a,9211,a,b,12777,a)]. 12788 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(66,a,8802,a(flip),b,12777,a),flip(a)]. 12789 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(124,a,12777,a(flip),b,12213,a),flip(a)]. 12791 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12777(a,1),9709(a,1,3))]. 12792 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12778(a,1),304(a,1,2)),flip(b)]. 12793 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12778(a,1),113(a,2,2)),flip(a)]. 12795 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12791(a,1),394(a,1,1)),flip(a)]. 12796 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(15(a,1),12774(a,1,2,2))]. 12797 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (R(a(z,u,z),K(z,z * u),y * x) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(12774(a,1),1191(a,1,2,1)),flip(a)]. 12799 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7409,a,12776,a)]. 12801 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(15(a,1),12780(a,1,1,2))]. 12802 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(12780(a,1),5453(a,1,2)),flip(b)]. 12803 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(66,a,1656,a,b,12781,a)]. 12804 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12781(a,1),118(a,1,1))]. 12805 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12781(a,2),215(a,1,2,2))]. 12807 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12781(a,2),441(a,1,2,2))]. 12808 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12781(a,2),769(a,1,2,2,2))]. 12809 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12781(a,2),7642(a,1,2,1)),flip(a)]. 12810 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(285,a,5785,a,b,12799,a),flip(a)]. 12811 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12799(a,1),1191(a,1,2,1))]. 12812 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6764(a,1),12799(a,2,1))]. 12813 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(8244(a,1),12799(a,1,2))]. 12814 a(x,y,x) \ x = L(x,y,x). [hyper(10928,a,12782,a(flip))]. 12815 (x * y) / L(y,z,y) = x * a(y,z,y). [para(16(a,1),12782(a,1,1)),flip(a)]. 12816 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9688,a,12788,a)]. 12818 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12816(a,2),12792(a,1))]. 12819 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(66,a,9363,a(flip),b,12789,a)]. 12820 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(66,a,9207,a(flip),b,12789,a)]. 12821 x * (y * a(x,z,x)) = R(x,z,x) * y. [hyper(124,a,12789,a(flip),b,1148,a)]. 12822 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(123,a,12789,a(flip),b,9207,a(flip))]. 12823 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(14(a,1),12789(a,1,2)),flip(a)]. 12824 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5527(a,1),12789(a,1,2))]. 12825 R(x,y,x) * (K(x,z) * (x \ u)) = K(x,z) * (u * a(x,y,x)). [para(12789(a,1),6263(a,2,2))]. 12826 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12789(a,1),9362(a,1,1))]. 12827 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(12815(a,1),11613(a,1,2))]. 12828 R(x,y,x) / x = a(x,y,x). [hyper(121,a,12820,a(flip),b,1621,a(flip)),flip(a)]. 12829 (x * y) * a(y,z,y) = x * R(y,z,y). [para(16(a,1),12820(a,1,1)),flip(a)]. 12830 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(12820(a,2),46(a,1))]. 12832 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1581(a,1),12820(a,1,1))]. 12833 a(x,y,x) * x = R(x,y,x). [hyper(136,a,12828,a)]. 12834 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12828(a,1),11438(a,1,1)),flip(a)]. 12836 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12821(a,1),447(a,1,2))]. 12837 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(128,a,12823,a)]. 12839 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(128,a,12827,a)]. 12840 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(122,a,15,a(flip),b,12827,a),flip(a)]. 12841 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(17(a,1),12827(a,1,2)),flip(a)]. 12842 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(128,a,12829,a)]. 12844 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12829(a,1),447(a,1,2,2))]. 12845 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12829(a,1),5812(a,1,1,1,1)),flip(a)]. 12847 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(66,a,1245,a(flip),b,12839,a)]. 12848 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(37,a,1243,a,b,12841,a)]. 12849 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(285,a,12837,a,b,12842,a)]. 12850 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(122,a,12,a(flip),b,12847,a),flip(a)]. 12851 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(66,a,10916,a,b,12847,a)]. 12852 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8961(a,1),12847(a,1,2,1))]. 12853 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12850(a,1),7023(a,1,1,2))]. 12854 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(122,a,12848,a(flip),b,9205,a(flip))]. 12856 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10743,a,12784,a),flip(a)]. 12857 a(x,y,x) * z = z * a(x,y,x). [hyper(66,a,12783,a(flip),b,12784,a),flip(a)]. 12858 T(x,a(y,z,y)) = x. [hyper(224,a,12783,a(flip),b,12784,a(flip))]. 12859 T(a(x,y,x),z) = a(x,y,x). [hyper(224,a,12784,a(flip),b,12783,a(flip))]. 12861 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5785(a,2),12784(a,1,1))]. 12862 x / a(y,z,y) = a(y,z,y) \ x. [hyper(630,a,12858,a),flip(a)]. 12863 K(x,a(y,z,y)) = 1. [hyper(58,a,12858,a)]. 12865 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12858(a,1),226(a,1,2)),flip(b)]. 12867 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12858(a,1),630(a,1))]. 12868 x * K(y,a(z,u,z)) != w | x = w. [para(12863(a,2),133(a,1,2))]. 12869 T(a(x,y,x),z) = T(a(x,y,x),u). [hyper(285,a,12859,a,b,12859,a)]. 12870 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(285,a,12777,a,b,12859,a),flip(a)]. 12871 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12859(a,1),223(a,1,2,1)),flip(a)]. 12873 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(285,a,12823,a(flip),b,12857,a),flip(a)]. 12874 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12862(a,1),12854(a,1,2))]. 12876 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3532(a,1),12870(a,2,2))]. 12880 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12873(a,1),479(a,1,1,1))]. 12882 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(15(a,1),12785(a,1,2,1,1))]. 12883 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6626(a,2),12786(a,1,2,1))]. 12884 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4427(a,1),12861(a,1,2))]. 12885 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(66,a,11943,a(flip),b,12883,a)]. 12886 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(133,a,12885,a),flip(a)]. 12888 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12886(a,2),12885(a,1,1))]. 12889 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(122,a,14,a(flip),b,12888,a)]. 12890 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(285,a,12857,a(flip),b,12889,a),flip(a)]. 12891 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12886(a,1),12890(a,1,1))]. 12892 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(66,a,12765,a(flip),b,12771,a),flip(a)]. 12894 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [hyper(122,a,5671,a(flip),b,12892,a),flip(a)]. 12895 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(37,a,5360,a(flip),b,12892,a),flip(a)]. 12896 L(x,y,K(z,z \ y)) = x. [hyper(5569,a,12895,a)]. 12898 L(x,y * z,K(z,y)) = x. [para(5336(a,1),12896(a,1,3))]. 12899 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(66,a,4624,a(flip),b,12898,a)]. 12900 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(66,a,6157,a,b,12899,a),flip(a)]. 12905 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(185,a,12900,a(flip))]. 12907 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12795(a,1),12804(a,1,1))]. 12908 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [hyper(124,a,12851,a(flip),b,5534,a)]. 12909 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12851(a,2),46(a,1))]. 12910 T(x,R(a(y,z,y),u,w)) = x. [hyper(228,a,12871,a)]. 12911 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(38,a,12770,a,b,12764,a),flip(a)]. 12914 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12882(a,1),5563(a,1,2))]. 12915 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(12907(a,1),1799(a,1,1)),flip(a)]. 12916 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(12762(a,1),8276(a,1,2,2))]. 12917 R(x / y,y,a(y,z,y)) = x / y. [hyper(66,a,12822,a(flip),b,12793,a),flip(a)]. 12919 R((x * y) / y,y,a(y,z,y)) = x. [hyper(285,a,16,a(flip),b,12917,a),flip(a)]. 12920 R(x,y,a(y,z,y)) = x. [para(16(a,1),12919(a,1,1))]. 12923 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12920(a,1),663(a,1,1,1)),flip(a)]. 12924 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12836,a,12849,a)]. 12926 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(285,a,154,a(flip),b,12924,a),flip(a)]. 12927 L(a(x,y,x),z,x) = (u * T(x,w)) \ ((u * K(x,w)) * R(x,y,x)). [para(6311(a,1),12924(a,2,1))]. 12928 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(66,a,10367,a(flip),b,12853,a)]. 12929 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(285,a,9095,a(flip),b,12928,a),flip(a)]. 12932 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(66,a,7018,a(flip),b,12929,a)]. 12933 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(12932(a,1),112(a,1,1)),flip(a)]. 12934 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12820(a,2),12908(a,1,2))]. 12935 (a(x,y,x) * K(x,z)) * u = K(x,z) * (a(x,y,x) * u). [para(10244(a,1),12933(a,1,1))]. 12936 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(285,a,10023,a,b,12914,a),flip(a)]. 12937 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12781(a,1),12803(a,1,1)),flip(a)]. 12938 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(66,a,12857,a,b,12937,a)]. 12939 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * (y \ T(x,K(y,z))))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [hyper(122,a,12825,a,b,446,a)]. 12940 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12909,a,12852,a),flip(a)]. 12942 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12624(a,1),12876(a,2,2))]. 12943 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,9706,a(flip),b,12934,a)]. 12944 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(66,a,12824,a(flip),b,12943,a)]. 12945 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12943(a,1),9414(a,1,2))]. 12946 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,12857,a,b,12944,a)]. 12947 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * (K(x,w) * R(x,y,x))). [para(6338(a,1),12927(a,2,2))]. 12948 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * R(T(x,w),y,x)). [para(9210(a,1),12947(a,2,2,2))]. 12949 (x * T(y,z)) \ (x * R(T(y,z),u,y)) = a(y,u,y). [hyper(4902,a,12948,a)]. 12950 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = a(y,u,y). [para(6321(a,1),12949(a,1,1))]. 12951 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5667,a,12722,a),flip(a)]. 12952 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(7550,a,12951,a),flip(a)]. 12953 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(66,a,8664,a,b,12952,a)]. 12954 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(15(a,1),12952(a,1,1,2,2))]. 12955 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(17(a,1),12953(a,1,1,2,1)),flip(a)]. 12956 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(6026(a,1),12954(a,1,1,1))]. 12957 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(15(a,1),12747(a,1,3)),flip(a)]. 12958 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(12957(a,1),12320(a,1,2))]. 12959 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(285,a,12955,a(flip),b,12956,a),flip(a)]. 12960 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(66,a,5923,a,b,12959,a)]. 12961 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(11695,a,12958,a),flip(a)]. 12962 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(285,a,12911,a(flip),b,12961,a),flip(a)]. 12964 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(66,a,10573,a(flip),b,12962,a)]. 12965 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(66,a,12960,a(flip),b,12964,a)]. 12966 K(R(x,y,z),y) = K(y \ (y * x),y). [para(14(a,1),12964(a,1,1,1))]. 12967 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(285,a,12966,a,b,12966,a)]. 12969 K(R(x,y,z),y) = K(x,y). [hyper(285,a,625,a(flip),b,12966,a),flip(a)]. 12970 K(R(x,y,z),y) != u | K(x,y) = u. [para(12966(a,2),10996(a,1))]. 12971 K(x,R(y,x,z)) = K(x,y). [hyper(11081,a,12969,a)]. 12974 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9024,a(flip),b,12969,a)]. 12978 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(66,a,12736,a,b,12971,a)]. 12979 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(66,a,8980,a(flip),b,12971,a)]. 12982 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12971(a,1),12262(a,1,2,2))]. 12992 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(12967(a,1),9023(a,1,2)),flip(a)]. 12995 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(9860(a,1),12970(a,1))]. 12998 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(12978(a,1),12743(a,1,2)),flip(a)]. 12999 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(66,a,12605,a,b,12965,a)]. 13000 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(66,a,11197,a,b,12965,a)]. 13001 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(66,a,9603,a,b,12965,a)]. 13002 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(66,a,12953,a(flip),b,12965,a),flip(a)]. 13004 K(x,L(T(x \ y,z),x,z)) = K(x,x \ ((z * y) / z)). [hyper(66,a,9907,a,b,12979,a)]. 13005 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(66,a,9593,a,b,12979,a)]. 13006 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(66,a,8679,a(flip),b,12979,a)]. 13007 T(x,R(y,x,z)) = T(x,y). [hyper(285,a,9083,a(flip),b,12992,a),flip(a)]. 13011 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(494(a,1),13007(a,1,2))]. 13012 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(13007(a,1),9027(a,1,1))]. 13013 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(13001(a,1),7790(a,1,1))]. 13014 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(14(a,1),13005(a,1,2,1)),flip(a)]. 13015 K(x \ y,((y / x) \ z) / u) = K(x \ y,(x \ y) \ (z / u)). [hyper(66,a,10305,a,b,13006,a)]. 13016 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(13006(a,1),12721(a,1,2))]. 13017 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(7552,a,12974,a)]. 13018 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11563(a,2),12995(a,1))]. 13020 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(12999(a,1),6115(a,1,1,1,1,2))]. 13021 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(13000(a,1),5805(a,1,2,1,2)),flip(a)]. 13022 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(13002(a,1),10130(a,1,2)),flip(a)]. 13023 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(66,a,10725,a(flip),b,13012,a)]. 13024 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5379(a,1),13012(a,2,2))]. 13027 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7726,a,13013,a)]. 13028 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(66,a,10470,a(flip),b,13027,a)]. 13029 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(13028(a,1),7399(a,1,1,2)),flip(a)]. 13030 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5180,a,13016,a),flip(a)]. 13031 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(285,a,7399,a(flip),b,13029,a),flip(a)]. 13032 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(8426,a,13031,a)]. 13033 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(87(a,1),13032(a,1,2,1,2)),flip(a)]. 13034 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(66,a,9457,a,b,13033,a)]. 13035 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(12971(a,1),13017(a,1,1))]. 13037 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ ((x * z) / x)). [hyper(66,a,9455,a,b,13015,a)]. 13038 K(x \ y,(x \ y) \ (y / z)) = K(x \ y,x / z). [para(90(a,1),13015(a,1,2,1)),flip(a)]. 13039 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(66,a,10647,a(flip),b,13023,a),flip(a)]. 13040 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(285,a,10502,a(flip),b,13022,a),flip(a)]. 13042 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(285,a,12971,a(flip),b,12735,a),flip(a)]. 13044 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(66,a,9915,a(flip),b,13042,a)]. 13045 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3831(a,2),13044(a,1,2,1,2))]. 13046 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(15(a,1),12894(a,1,2,1,2))]. 13047 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(66,a,11156,a(flip),b,13046,a),flip(a)]. 13048 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12926(a,2,2))]. 13049 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(12073(a,1),13047(a,1,2))]. 13050 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [hyper(138,a,13049,a),flip(a)]. 13051 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(10021(a,1),12805(a,1,2,2))]. 13052 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(122,a,12936,a(flip),b,103,a)]. 13053 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5666,a,12945,a),flip(a)]. 13054 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(116(a,1),13051(a,1,2)),flip(a)]. 13055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(66,a,32,a,b,13011,a)]. 13056 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4814(a,1),13034(a,2,2))]. 13057 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(285,a,4123,a(flip),b,13055,a),flip(a)]. 13058 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(285,a,10437,a(flip),b,13056,a),flip(a)]. 13059 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(285,a,10067,a(flip),b,13058,a),flip(a)]. 13060 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(285,a,32,a,b,13057,a),flip(a)]. 13061 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13030(a,1),13060(a,1,1))]. 13062 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(16(a,1),13061(a,1,1,2,2)),flip(a)]. 13063 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(54,a,13062,a)]. 13064 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(13062(a,1),332(a,1,2))]. 13065 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(13062(a,1),5643(a,1,2,1))]. 13066 T(x,x \ R(x,y,z)) = x. [hyper(192,a,13063,a),flip(a)]. 13068 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(124,a,13066,a(flip),b,117,a(flip))]. 13069 R(x,y,z) / x = x \ R(x,y,z). [para(13066(a,1),249(a,1,2))]. 13070 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(13066(a,1),5137(a,1,1,1)),flip(a)]. 13071 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(13066(a,1),5179(a,1,2,1)),flip(a)]. 13072 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12787(a,1),13068(a,1,1))]. 13073 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(13069(a,1),493(a,1,1))]. 13074 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(13069(a,1),9343(a,1,1))]. 13075 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(13069(a,1),11807(a,1,2,2))]. 13076 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7453(a,1),13072(a,1,2)),flip(a)]. 13079 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(597(a,1),13064(a,1,2,1))]. 13081 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(180,a,13079,a)]. 13083 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(87(a,1),13081(a,1,1,1,1)),flip(a)]. 13084 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(13081(a,1),9680(a,1,2,1)),flip(a)]. 13086 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5806(a,1),13083(a,2,1))]. 13087 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(7514(a,1),13083(a,1,1)),flip(a)]. 13088 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(66,a,8918,a,b,13087,a)]. 13089 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6133(a,1),13087(a,1,1))]. 13090 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7681(a,2),13088(a,2,1))]. 13091 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(112(a,1),13089(a,1,1))]. 13093 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(13070(a,2),306(a,1))]. 13095 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(285,a,79,a(flip),b,13071,a),flip(a)]. 13097 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(13095(a,1),8316(a,1,1,2))]. 13098 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7681(a,2),13091(a,2,1))]. 13099 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8330(a,1),13098(a,2,1))]. 13100 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5334(a,1),13073(a,1,1))]. 13101 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(13073(a,2),8083(a,1,1))]. 13102 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(13073(a,1),9021(a,2,2))]. 13103 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(13076(a,2),47(a,1))]. 13104 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(11081,a,13101,a)]. 13105 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5458(a,1),13101(a,2,2))]. 13106 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(13101(a,1),10114(a,2,2))]. 13107 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(66,a,5643,a(flip),b,13065,a),flip(a)]. 13108 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(66,a,6485,a(flip),b,13107,a),flip(a)]. 13111 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(13107(a,1),5097(a,1,1,2))]. 13112 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(285,a,7796,a(flip),b,12769,a),flip(a)]. 13113 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(27(a,2),13112(a,1,1,3))]. 13114 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7761(a,1),13113(a,2,1))]. 13115 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(66,a,7018,a(flip),b,13114,a)]. 13116 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),6588(a,2,2))]. 13117 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),8554(a,2,2))]. 13118 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13116,a),flip(a)]. 13119 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7682(a,1),13118(a,2,2))]. 13120 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(66,a,6581,a(flip),b,13119,a)]. 13121 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13120(a,2),46(a,1))]. 13122 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(66,a,12889,a(flip),b,12845,a),flip(a)]. 13123 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12834(a,1),13122(a,1,1,1)),flip(a)]. 13124 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(285,a,13083,a,b,13123,a),flip(a)]. 13125 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12372(a,1),13124(a,2,1))]. 13126 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12868,a,13125,a),flip(a)]. 13128 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(66,a,470,a,b,13126,a)]. 13129 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [hyper(66,a,114,a,b,13126,a)]. 13130 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(7286(a,1),12982(a,2,2))]. 13132 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(8406(a,1),13130(a,1,2))]. 13133 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(285,a,5805,a(flip),b,13021,a),flip(a)]. 13134 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(66,a,10281,a(flip),b,13133,a)]. 13136 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(285,a,13108,a(flip),b,13134,a),flip(a)]. 13137 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(11497,a,13136,a),flip(a)]. 13139 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(66,a,6720,a(flip),b,13137,a),flip(a)]. 13140 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(66,a,12086,a(flip),b,13139,a)]. 13141 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(285,a,12097,a(flip),b,13140,a),flip(a)]. 13142 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(32(a,2),13141(a,1,2))]. 13143 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(66,a,6959,a(flip),b,13142,a)]. 13144 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(285,a,10698,a(flip),b,13143,a),flip(a)]. 13145 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(66,a,8542,a(flip),b,13144,a)]. 13146 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2090(a,1),13145(a,2,2,1))]. 13147 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(13146(a,1),11464(a,1,1,2))]. 13148 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(285,a,7761,a(flip),b,12717,a),flip(a)]. 13149 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(285,a,1086,a(flip),b,12942,a),flip(a)]. 13150 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(285,a,1514,a(flip),b,13149,a),flip(a)]. 13151 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9704(a,1),13150(a,2,1,2))]. 13152 (x * R(x \ y,z,x \ y)) / y != u | T(a(1 / (x / y),z,1 / (x / y)),w) = u. [para(13151(a,1),4222(a,1))]. 13153 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(66,a,6115,a(flip),b,13020,a),flip(a)]. 13154 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(66,a,8123,a(flip),b,13153,a),flip(a)]. 13155 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(66,a,13040,a(flip),b,13154,a),flip(a)]. 13157 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(285,a,626,a(flip),b,13155,a),flip(a)]. 13159 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(4611(a,1),13157(a,1,1))]. 13160 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(13159(a,1),11470(a,1,2))]. 13161 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(66,a,12596,a(flip),b,13160,a)]. 13163 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7682(a,1),13161(a,1,2))]. 13164 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(66,a,6246,a,b,13163,a)]. 13165 L(x,y \ 1,K(z,y)) = x. [hyper(5648,a,13164,a)]. 13166 L(x,y,K(z,y \ 1)) = x. [hyper(66,a,7072,a(flip),b,13165,a)]. 13167 L(x,y \ 1,K(z,y)) != u | x = u. [para(13165(a,1),53(a,2))]. 13168 L(x,y,K(z,y \ 1)) != u | x = u. [para(13166(a,1),53(a,2))]. 13170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5193(a,1),13074(a,2,1))]. 13171 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12777(a,1),13170(a,1,1))]. 13172 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(285,a,9366,a,b,13171,a)]. 13173 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(13103,a,13172,a)]. 13174 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(13173(a,1),13129(a,1,1,1,1))]. 13175 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(13171(a,1),13174(a,1,1,1))]. 13176 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(593(a,1),13175(a,1,1))]. 13177 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(285,a,13173,a(flip),b,13176,a),flip(a)]. 13178 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(13152,a,13177,a)]. 13179 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11508(a,1),13178(a,1,1))]. 13180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(285,a,6304,a(flip),b,13086,a),flip(a)]. 13181 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6302(a,1),13180(a,1,1)),flip(a)]. 13182 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(13181(a,1),12819(a,1,2))]. 13183 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(187(a,1),13097(a,1,1))]. 13185 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7396(a,1),13183(a,1,2))]. 13186 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6966(a,1),13185(a,1,2)),flip(a)]. 13187 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(285,a,12,a(flip),b,13186,a),flip(a)]. 13188 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5452,a,13187,a)]. 13189 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6076(a,1),13188(a,1,2,2))]. 13190 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(10159(a,1),13188(a,1,1))]. 13191 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11625(a,1),13188(a,1,1))]. 13192 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5653,a,13191,a)]. 13193 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10040(a,1),13191(a,1,2,2))]. 13194 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(11744,a,13192,a)]. 13196 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(11748(a,1),13193(a,1,2))]. 13197 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5453,a,13196,a)]. 13198 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(13196(a,1),5453(a,1)),flip(b)]. 13200 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,13194,a,b,13197,a)]. 13201 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(66,a,13039,a(flip),b,13197,a)]. 13203 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(13201(a,1),10544(a,1,1))]. 13205 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(13200(a,1),11764(a,1,1)),flip(a)]. 13206 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(51,a,13205,a)]. 13208 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(7546,a,13206,a),flip(a)]. 13209 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(285,a,8826,a,b,13206,a)]. 13210 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(66,a,7001,a,b,13206,a)]. 13212 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(13194(a,2),13198(a,1))]. 13213 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(13212,a,13208,a),flip(a)]. 13215 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(285,a,11773,a(flip),b,13213,a),flip(a)]. 13216 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(285,a,10620,a(flip),b,13104,a),flip(a)]. 13217 K(a(x,y,z),x) = 1. [hyper(13093,a,13216,a),flip(a)]. 13220 T(a(x,y,z),x) = a(x,y,z). [hyper(59,a,13217,a)]. 13221 T(x,a(x,y,z)) = x. [hyper(57,a,13220,a)]. 13222 a(x,y,z) * x = x * a(x,y,z). [hyper(124,a,13220,a(flip),b,27,a(flip)),flip(a)]. 13223 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3935(a,2),13220(a,1,1))]. 13224 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(13221(a,1),222(a,1,2,1)),flip(a)]. 13225 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(66,a,11150,a(flip),b,13222,a),flip(a)]. 13226 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(66,a,13179,a(flip),b,13223,a),flip(a)]. 13227 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(13224(a,1),1564(a,2,2,1,2)),flip(a)]. 13228 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(13225(a,1),11151(a,1,2,2))]. 13229 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(66,a,7150,a(flip),b,13228,a)]. 13230 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(66,a,12916,a,b,13229,a)]. 13231 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(285,a,11268,a(flip),b,13230,a),flip(a)]. 13233 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(66,a,9856,a,b,13231,a)]. 13234 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5798(a,1),13111(a,1,1))]. 13235 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,32,a,b,13234,a)]. 13236 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5097(a,1),13235(a,1,1)),flip(a)]. 13237 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(285,a,34,a(flip),b,13236,a),flip(a)]. 13238 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(13237(a,1),1825(a,1,1,1)),flip(a)]. 13239 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5798(a,1),13147(a,1,1))]. 13240 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5785(a,1),13239(a,1,1,1,2))]. 13241 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(66,a,32,a,b,13240,a)]. 13242 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(5719(a,1),13241(a,1,1)),flip(a)]. 13243 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(285,a,9222,a(flip),b,13148,a),flip(a)]. 13244 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(8426,a,13243,a)]. 13245 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(66,a,10806,a(flip),b,13244,a)]. 13247 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(66,a,11531,a(flip),b,13245,a)]. 13248 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9575,a,13247,a),flip(a)]. 13250 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(161(a,1),13247(a,2,2))]. 13251 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(13247(a,1),6670(a,1))]. 13252 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(66,a,12544,a(flip),b,13250,a)]. 13254 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(14(a,1),13252(a,2,2))]. 13255 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10873,a(flip),b,13254,a),flip(a)]. 13257 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(66,a,10492,a,b,13255,a)]. 13259 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(66,a,8928,a(flip),b,13257,a)]. 13260 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(79(a,1),13248(a,1,2,2))]. 13261 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9295(a,1),13189(a,1,1))]. 13262 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5125(a,2),13261(a,1,2))]. 13264 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6120(a,1),13262(a,1,1))]. 13265 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(285,a,9211,a(flip),b,13264,a),flip(a)]. 13266 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2232,a,13265,a)]. 13268 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(13266(a,1),11904(a,1,1,2))]. 13270 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(355(a,1),13233(a,2,2))]. 13271 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(285,a,9032,a(flip),b,13270,a),flip(a)]. 13273 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(66,a,8710,a(flip),b,13271,a)]. 13275 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12940(a,1),12813(a,1,1)),flip(a)]. 13276 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(66,a,10392,a(flip),b,13275,a),flip(a)]. 13278 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7782,a,13276,a)]. 13280 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(28(a,1),13278(a,1,2,2))]. 13281 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8565(a,1),13278(a,1,1,2))]. 13282 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(9341(a,1),13278(a,1,1))]. 13283 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9769(a,1),13278(a,1,1))]. 13284 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(13280(a,1),47(a,1))]. 13285 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6421(a,1),13106(a,1,2))]. 13286 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(66,a,10159,a(flip),b,13285,a)]. 13287 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7681(a,2),13190(a,1,2,2,1))]. 13288 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(32(a,2),13210(a,1,1))]. 13289 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5334(a,1),13287(a,1,2))]. 13290 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,13215,a(flip),b,13288,a),flip(a)]. 13291 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(13290(a,1),11753(a,1,1))]. 13292 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(285,a,7720,a(flip),b,13291,a),flip(a)]. 13293 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(38,a,11796,a,b,13289,a),flip(a)]. 13295 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2720(a,1),13293(a,1,2,2))]. 13296 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(285,a,7908,a,b,13295,a),flip(a)]. 13297 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(13295(a,1),7888(a,1,2)),flip(a)]. 13298 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),13296(a,1,2,2))]. 13299 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7145(a,1),13298(a,1,2)),flip(a)]. 13300 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(66,a,10119,a,b,13299,a)]. 13301 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(66,a,7908,a,b,13299,a)]. 13302 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7764(a,1),13299(a,1,2)),flip(a)]. 13303 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(17(a,1),13300(a,2,2,2))]. 13304 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(285,a,7908,a,b,13301,a),flip(a)]. 13305 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(285,a,7881,a,b,13303,a),flip(a)]. 13306 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(66,a,10280,a(flip),b,13304,a),flip(a)]. 13307 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(66,a,10189,a(flip),b,13305,a)]. 13309 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(13307(a,1),8942(a,1,1))]. 13310 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(13307(a,1),9924(a,1,1))]. 13311 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(13310(a,1),4783(a,1)),flip(b)]. 13312 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7908(a,1),13310(a,1,1))]. 13314 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7331(a,2),13311(a,1))]. 13315 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7761(a,1),13311(a,1,2))]. 13318 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7861(a,2),13311(a,1))]. 13321 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7884(a,1),13311(a,1))]. 13322 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7884(a,2),13311(a,1))]. 13328 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(10124(a,1),13311(a,1))]. 13329 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10277(a,1),13311(a,1))]. 13330 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(10665(a,2),13311(a,1))]. 13341 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(66,a,10157,a(flip),b,13312,a)]. 13345 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(87(a,1),13341(a,1,2,2,2))]. 13346 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7927,a,13309,a)]. 13347 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(87(a,1),13309(a,1,2)),flip(a)]. 13349 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7859(a,1),13346(a,1,1))]. 13350 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7884(a,1),13347(a,2,1))]. 13351 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8945,a,13349,a)]. 13352 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(180,a,13350,a)]. 13353 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11363(a,1),13351(a,1,1,1,1))]. 13355 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(5283,a,13352,a)]. 13356 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(56,a,13355,a)]. 13357 a(K(x * y,K(z,u)),x,y) = 1. [para(14(a,1),13356(a,1,3))]. 13358 a(K(K(x,y),z),u,u \ z) = 1. [para(7331(a,2),13356(a,1,1))]. 13359 a(K(x,K(y,z * u)),z,u) = 1. [para(7859(a,1),13357(a,1,1))]. 13360 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(285,a,7925,a,b,13358,a),flip(a)]. 13361 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(285,a,7862,a(flip),b,13297,a),flip(a)]. 13362 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(66,a,12261,a(flip),b,13361,a)]. 13363 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8235(a,2),13315(a,1))]. 13364 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10261(a,2),13328(a,1))]. 13366 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7761(a,1),13302(a,1,2))]. 13368 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7990(a,1),13362(a,1,2)),flip(a)]. 13369 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8014(a,1),13368(a,1,2)),flip(a)]. 13370 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10198,a,13369,a),flip(a)]. 13371 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(7145(a,1),13369(a,1,2)),flip(a)]. 13372 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(66,a,8532,a(flip),b,13371,a),flip(a)]. 13373 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13372(a,1),5306(a,1,1))]. 13375 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9953(a,2),13363(a,1))]. 13376 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10090,a,13370,a),flip(a)]. 13377 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(10068,a,13376,a)]. 13378 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(285,a,5130,a(flip),b,13377,a),flip(a)]. 13379 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5207,a,13378,a)]. 13380 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13379(a,1),13259(a,1,1))]. 13381 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(17(a,1),13306(a,1,2,1)),flip(a)]. 13382 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(13345(a,1),13360(a,2,2))]. 13383 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(13321,a,13381,a)]. 13384 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(66,a,13366,a(flip),b,13383,a)]. 13385 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(13384(a,1),7915(a,2,2))]. 13386 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(7881(a,1),13385(a,2,2))]. 13387 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7884(a,2),13382(a,2,2))]. 13388 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7331(a,1),13387(a,1,1))]. 13389 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(285,a,11986,a(flip),b,13388,a)]. 13390 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(285,a,13359,a(flip),b,13389,a),flip(a)]. 13391 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(66,a,12267,a(flip),b,13390,a)]. 13392 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(14(a,1),13391(a,1,2,2,2,3))]. 13393 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8288(a,1),13380(a,1,1,2))]. 13394 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7700(a,1),13393(a,1,1)),flip(a)]. 13395 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(285,a,10572,a(flip),b,13394,a),flip(a)]. 13397 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(462(a,1),13395(a,1,2,1,1)),flip(a)]. 13398 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(7551,a,13397,a)]. 13399 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(66,a,10673,a(flip),b,13398,a),flip(a)]. 13401 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(66,a,13247,a(flip),b,13399,a)]. 13402 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(79(a,1),13401(a,1,2,2))]. 13403 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(66,a,6110,a(flip),b,13402,a)]. 13405 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13403(a,2),5320(a,1,1))]. 13406 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6137,a,13405,a)]. 13407 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(355(a,2),13406(a,2,2)),flip(a)]. 13408 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(66,a,12039,a(flip),b,13100,a),flip(a)]. 13410 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12829(a,1),12923(a,2,2))]. 13411 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(285,a,12826,a(flip),b,13410,a),flip(a)]. 13413 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(12858(a,1),13411(a,1,1))]. 13415 L(x,a(x,y,x),z) = x. [para(12919(a,1),13413(a,1,3))]. 13416 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(13415(a,1),410(a,1,2,1))]. 13417 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5150(a,1),13024(a,1,1)),flip(a)]. 13418 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5150(a,1),13417(a,2,2,1))]. 13419 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),13048(a,2,2,1))]. 13421 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12789(a,1),13419(a,2,2))]. 13422 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(285,a,14,a(flip),b,13421,a),flip(a)]. 13423 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4902,a,13422,a),flip(a)]. 13425 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12858(a,1),12809(a,2,1,1))]. 13427 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12859(a,1),13425(a,1,1))]. 13429 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12858(a,1),13427(a,1,2)),flip(a)]. 13430 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(66,a,13054,a,b,13429,a)]. 13431 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5150(a,1),13430(a,1,1,2)),flip(a)]. 13432 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5150(a,1),13431(a,2,2))]. 13433 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4481(a,1),13099(a,1,1))]. 13434 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4555(a,1),13182(a,1,2,1)),flip(a)]. 13435 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7997(a,1),13433(a,1,1,2))]. 13436 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9528,a,13435,a),flip(a)]. 13438 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9568(a,1),13436(a,1,1))]. 13439 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(66,a,9867,a(flip),b,13438,a)]. 13440 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(66,a,7033,a(flip),b,13438,a)]. 13441 R(K(x,y),L(x,z,u),w) = v5 / (K(y,x) * v5). [para(13438(a,1),6135(a,1,2,1)),flip(a)]. 13443 R(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,5448,a(flip),b,13441,a),flip(a)]. 13444 K(x,(L(x,y,z) * u) / w) = K(x,(w / u) \ L(x,y,z)). [hyper(66,a,6583,a(flip),b,13443,a)]. 13446 K(((x * y) / x) \ L(z,u,w),z) = K(L(z,u,w) * (y \ K(y,x)),z). [para(5413(a,1),13439(a,1,1,2)),flip(a)]. 13447 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(285,a,6481,a(flip),b,13440,a),flip(a)]. 13449 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,9534,a(flip),b,13444,a),flip(a)]. 13450 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(L(x,w,v5) * u) / z). [hyper(66,a,7188,a(flip),b,13444,a),flip(a)]. 13451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(66,a,10735,a,b,13447,a)]. 13452 T(x,y) \ T(x * K((z / u) \ L(x,w,v5),x),y) = K((L(x,w,v5) * u) / z,T(x,y)). [para(13447(a,1),5722(a,1,2,1,2))]. 13453 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(8429,a,13451,a)]. 13454 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(10963,a,13453,a)]. 13455 K(x / (y / L(z,u,w)),z) = K((y / x) \ L(z,u,w),z). [hyper(66,a,10353,a,b,13454,a)]. 13456 K((x * L(y,z,u)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,9514,a,b,13455,a)]. 13457 K((x * T(L(y,z,u),w)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,10355,a,b,13456,a)]. 13458 K((x * L(T(y,z),u,w)) / z,y) = K((z / x) \ L(y,u,w),y). [para(30(a,2),13457(a,1,1,1,2))]. 13459 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(z / u) \ L(x,w,v5)). [hyper(285,a,13444,a(flip),b,13450,a),flip(a)]. 13460 K(x,((y * (z * (1 / (1 / (z \ (y \ u)))))) / w) \ L(x,v5,v6)) = K(x,(u / w) \ L(x,v5,v6)). [para(2784(a,1),13459(a,1,2,1,1))]. 13461 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(w \ 1,u)). [hyper(285,a,9530,a(flip),b,13449,a),flip(a)]. 13463 K((L(x,y,z) * u) / w,T(x,v5)) = K((w / u) \ L(x,y,z),T(x,v5)). [hyper(5865,a,13452,a),flip(a)]. 13465 K((x / y) \ L(z,u,w),T(z,y)) != v5 | K(x \ (L(z,u,w) * y),z) = v5. [para(13463(a,1),10988(a,1))]. 13466 K(x,T((1 / (1 / (y \ (L(x,z,u) \ w)))) \ 1,y)) = K(x,(w / y) \ L(x,z,u)). [hyper(66,a,13461,a(flip),b,13460,a)]. 13467 K(x,T(1 / (y \ (L(x,z,u) \ w)),y)) = K(x,(w / y) \ L(x,z,u)). [para(90(a,1),13466(a,1,2,1))]. 13468 K(x,y / (L(x,z,u) \ w)) = K(x,(w / y) \ L(x,z,u)). [hyper(10991,a,13467,a)]. 13470 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9716(a,2),12807(a,1,2,2))]. 13471 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * T(y \ x,K(y,z)))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(12475(a,2),12939(a,1,2,2,2))]. 13472 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12833(a,1),13128(a,1,1,1))]. 13473 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(473(a,1),13472(a,1,1))]. 13474 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(285,a,1825,a(flip),b,13238,a),flip(a)]. 13475 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(32(a,2),13474(a,2,3))]. 13476 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10283(a,1),13282(a,1,1)),flip(a)]. 13477 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7687(a,1),13476(a,2,2))]. 13479 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(66,a,13423,a(flip),b,13477,a),flip(a)]. 13481 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(28(a,1),13479(a,1,1,2))]. 13482 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(4604(a,1),13283(a,1,1))]. 13483 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5547(a,2),13353(a,1,1))]. 13484 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(13314,a,13483,a)]. 13485 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(66,a,13301,a(flip),b,13484,a)]. 13486 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(17(a,1),13485(a,1,2,2)),flip(a)]. 13487 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(13322,a,13486,a)]. 13488 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(103(a,1),13470(a,1,2)),flip(a)]. 13489 (x * K(y,z)) \ (R(y,u,y) * ((y \ x) * K(y,z))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(116(a,1),13471(a,1,2,2))]. 13490 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(11180(a,1),13489(a,1,2))]. 13491 L(a(x,y,x),T(z,K(x,u)),K(x,u)) = a(x,y,x). [hyper(66,a,12950,a(flip),b,13490,a),flip(a)]. 13493 L(a(x,y,x),z,K(x,u)) = a(x,y,x). [para(208(a,1),13491(a,1,2))]. 13495 x \ (K(y,z) \ ((a(y,u,y) * K(y,z)) * x)) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(13493(a,1),1127(a,1,2,2,1,1))]. 13497 x \ (K(y,z) \ (K(y,z) * (a(y,u,y) * x))) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(12935(a,1),13495(a,1,2,2))]. 13498 R(T(a(x,y,x),K(x,z) * u),K(x,z),u) = u \ (a(x,y,x) * u). [para(14(a,1),13497(a,1,2)),flip(a)]. 13501 R(T(a(x,y,x),z),K(x,u),w) = w \ (a(x,y,x) * w). [para(12869(a,1),13498(a,1,1))]. 13502 R(T(a(x,y,x),z),K(x,u),w) = T(a(x,y,x),w). [hyper(285,a,27,a,b,13501,a),flip(a)]. 13505 R(a(x,y,x),K(x,z),u) = a(x,y,x). [hyper(144,a,13502,a(flip))]. 13506 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12468(a,1),13482(a,1,1))]. 13507 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5830(a,1),13506(a,1,2))]. 13508 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8391(a,1),13507(a,1,2))]. 13509 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(285,a,13226,a(flip),b,13508,a),flip(a)]. 13510 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12840(a,1),13052(a,1,1))]. 13511 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(7646(a,1),13510(a,1,1))]. 13513 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(13511(a,1),304(a,1)),flip(b)]. 13515 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13117,a),flip(a)]. 13516 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7682(a,1),13515(a,2,2))]. 13517 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13516(a,1,1,2,2,1))]. 13518 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8538(a,1),13517(a,1,1,2))]. 13519 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7693(a,1),13518(a,1,1))]. 13520 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13519(a,1,2,1,1,1))]. 13522 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13520(a,1),5279(a,1,2)),flip(a)]. 13523 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(285,a,5544,a(flip),b,13522,a),flip(a)]. 13524 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4072,a,13523,a)]. 13526 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(66,a,8396,a(flip),b,13524,a),flip(a)]. 13527 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13526(a,2),13132(a,1,1))]. 13528 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2539(a,1),13075(a,1,2)),flip(a)]. 13530 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8852(a,1),13528(a,1,2,1))]. 13531 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11803(a,1),13530(a,1,2)),flip(a)]. 13532 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8852(a,1),13531(a,2,3))]. 13533 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(66,a,13268,a(flip),b,13532,a),flip(a)]. 13535 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12777(a,1),13533(a,1,2))]. 13536 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12886(a,2),13535(a,1,3))]. 13537 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(492,a,13536,a)]. 13538 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12886(a,1),13537(a,1,2))]. 13539 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(285,a,12862,a(flip),b,13538,a),flip(a)]. 13540 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(13538(a,2),12867(a,1))]. 13541 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(66,a,9220,a(flip),b,13539,a),flip(a)]. 13542 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(8986(a,1),13209(a,1,1,2))]. 13543 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(586(a,1),13542(a,1,1))]. 13544 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(223(a,1),13543(a,1,2)),flip(a)]. 13545 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(285,a,1825,a(flip),b,13544,a),flip(a)]. 13546 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(32(a,2),13545(a,2,3))]. 13547 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(66,a,13206,a(flip),b,13546,a)]. 13548 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(13212,a,13547,a)]. 13550 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(66,a,11774,a(flip),b,13548,a),flip(a)]. 13552 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13475,a,b,13550,a)]. 13553 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12818,a,13552,a)]. 13554 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(13553(a,1),13434(a,1,2)),flip(a)]. 13555 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(27(a,2),13554(a,2,2,2))]. 13556 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(11773(a,1),13555(a,2,2))]. 13557 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8906(a,1),13281(a,1,1))]. 13558 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7995(a,1),13557(a,1,1))]. 13559 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9977(a,1),13558(a,1,1))]. 13560 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6468(a,1),13559(a,1,2))]. 13561 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8967(a,1),13560(a,1,2))]. 13562 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(66,a,13509,a(flip),b,13561,a),flip(a)]. 13563 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(9261(a,1),12832(a,1,2)),flip(a)]. 13564 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(285,a,12333,a(flip),b,13563,a),flip(a)]. 13566 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12789(a,1),13564(a,2,1))]. 13567 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(285,a,13416,a(flip),b,13566,a),flip(a)]. 13568 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12940(a,1),13567(a,1,2))]. 13570 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13568(a,1),13227(a,1,1))]. 13572 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13570(a,1),304(a,1)),flip(b)]. 13574 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(66,a,10509,a(flip),b,13045,a)]. 13575 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(66,a,5836,a(flip),b,13574,a)]. 13576 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(12683,a,13575,a)]. 13578 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(6321(a,1),13576(a,1,2,1))]. 13579 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(9881,a,13578,a),flip(a)]. 13580 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,12644,a(flip),b,13579,a),flip(a)]. 13581 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,8604,a(flip),b,13580,a),flip(a)]. 13583 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(285,a,9456,a(flip),b,13581,a),flip(a)]. 13584 K(x,L(y,x,z)) = K(x,y). [hyper(9884,a,13583,a),flip(a)]. 13586 K(x,L(y,x,z)) != u | K(x,y) = u. [para(13583(a,1),9884(a,1))]. 13587 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(9454,a,13584,a)]. 13589 K(L(x,y,z),y) = K(x,y). [hyper(66,a,8731,a,b,13584,a)]. 13591 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(66,a,13059,a(flip),b,13584,a)]. 13592 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [hyper(66,a,13004,a(flip),b,13584,a)]. 13595 L(x,y,z) * (K(y,L(x,y,z)) * u) = (L(x,y,z) * K(y,x)) * u. [para(13584(a,1),4409(a,1,1,2)),flip(a)]. 13600 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(66,a,9349,a(flip),b,13589,a)]. 13604 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9113(a,1),13586(a,1))]. 13605 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(10022(a,1),13586(a,1))]. 13607 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(13587(a,1),9415(a,1,2))]. 13609 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(285,a,11390,a,b,13591,a)]. 13610 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(285,a,4943,a,b,13591,a)]. 13611 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(124,a,13591,a,b,5125,a(flip))]. 13616 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(87(a,1),13600(a,1,1,1))]. 13621 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [para(15(a,1),13592(a,1,2,2,1)),flip(a)]. 13622 (x * K(y,y \ z)) * z = x * (y * (z / y)). [hyper(66,a,12998,a,b,13607,a)]. 13624 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(13609(a,1),5190(a,2,1)),flip(a)]. 13625 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(5180,a,13611,a)]. 13626 T(x,T(x \ y,z)) = (x \ T(y,z)) \ T(y,z). [hyper(285,a,117,a(flip),b,13625,a),flip(a)]. 13627 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(66,a,3038,a(flip),b,13625,a),flip(a)]. 13628 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(13627(a,1),249(a,1,2))]. 13629 K(x,T(x \ (y \ z),z)) = K(x,x \ (z / y)). [hyper(66,a,10401,a,b,13621,a)]. 13630 R(x,K(y,y \ z),z) = x. [hyper(5570,a,13622,a)]. 13631 R(x,K(y,z),z * y) = x. [para(5336(a,1),13630(a,1,2))]. 13632 x / (K(y,z) * (z * y)) = (x / (z * y)) * K(z,y). [hyper(66,a,7425,a(flip),b,13631,a)]. 13633 K(x,x \ (y / (y / z))) = K(x,T(x \ z,y)). [para(90(a,1),13629(a,1,2,1,2)),flip(a)]. 13634 K(x,x \ ((y * z) / y)) = K(x,x \ (y / (y / z))). [hyper(285,a,13592,a,b,13633,a)]. 13640 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(627,a,13628,a)]. 13641 (x / (y * z)) * K(y,z) = x / (z * y). [para(5146(a,1),13632(a,1,2)),flip(a)]. 13643 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(13641(a,1),6311(a,1,1)),flip(a)]. 13644 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(13641(a,1),6336(a,1,1))]. 13647 (x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y). [para(17(a,1),13643(a,1,1,2)),flip(a)]. 13648 (1 / (x * y)) * (T(x,y) * T(T(x,y) \ (x * y),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(13643(a,1),5966(a,2,1,1))]. 13649 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ (x / (x / z))). [hyper(66,a,13037,a,b,13634,a)]. 13650 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(66,a,7301,a(flip),b,13640,a),flip(a)]. 13651 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5410,a,13644,a)]. 13652 a((x * y) \ 1,y,x) / x = (1 / (y * x)) * y. [hyper(66,a,10252,a(flip),b,13651,a)]. 13653 1 / L(x,y,(x * y) \ 1) = (1 / (y * x)) * y. [hyper(66,a,12063,a(flip),b,13652,a)]. 13654 (1 / ((x \ y) * x)) * (x \ y) = 1 / L(x,x \ y,y \ 1). [para(15(a,1),13653(a,1,2,3,1)),flip(a)]. 13655 L(x,y,(x * y) \ 1) \ 1 = T((1 / (y * x)) * y,x). [para(13653(a,1),10458(a,1,1)),flip(a)]. 13656 1 / T((1 / (x * y)) * x,y) = L(y,x,(y * x) \ 1). [hyper(185,a,13655,a)]. 13657 L(x,y,(y * x) \ 1) = L(x,y,(x * y) \ 1). [hyper(10466,a,13656,a)]. 13658 L(x \ y,x,((x \ y) * x) \ 1) = L(x \ y,x,y \ 1). [para(15(a,1),13657(a,1,3,1)),flip(a)]. 13659 L(x,y / x,(x * (y / x)) \ 1) = L(x,y / x,y \ 1). [para(17(a,1),13657(a,1,3,1)),flip(a)]. 13660 (x / (y * (z / y))) * (z / y) = (x / z) * (y \ z). [para(118(a,1),13647(a,2,2))]. 13661 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(y / x,x). [para(13660(a,1),5883(a,1,1)),flip(a)]. 13662 L(x \ y,x,((x \ y) * x) \ 1) = ((1 / y) * x) \ 1. [hyper(285,a,3666,a(flip),b,13658,a),flip(a)]. 13663 K((((1 / x) * y) \ 1) / ((((y \ x) * y) \ 1) * x),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13662(a,1),5837(a,1,1,1))]. 13664 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(66,a,9901,a(flip),b,13624,a),flip(a)]. 13665 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(13664(a,2),4519(a,1,2))]. 13666 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(263,a,13665,a)]. 13667 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(13666(a,1),8816(a,1,1))]. 13668 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(13667(a,1),11245(a,1,1)),flip(a)]. 13669 T(x,L(y,x,z)) = T(x,y). [hyper(8506,a,13595,a(flip))]. 13672 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(66,a,9354,a(flip),b,13669,a)]. 13674 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(124,a,13669,a(flip),b,27,a(flip))]. 13676 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(459(a,1),13669(a,1,2))]. 13680 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(13674(a,1),1247(a,1,2,2))]. 13681 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(x \ y,x). [para(5323(a,1),13661(a,2,2))]. 13682 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(285,a,8813,a(flip),b,13668,a),flip(a)]. 13683 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(66,a,5389,a(flip),b,13682,a),flip(a)]. 13684 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(16(a,1),13683(a,2,1))]. 13685 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(27(a,2),13684(a,1,3))]. 13686 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(13685(a,1),5285(a,1,2))]. 13687 L(x,y / x,(x * (y / x)) \ 1) = L(x,x \ y,y \ 1). [hyper(285,a,5677,a(flip),b,13681,a),flip(a)]. 13688 L(x,y / x,y \ 1) = L(x,x \ y,y \ 1). [hyper(66,a,13659,a(flip),b,13687,a)]. 13689 1 / L(x,x \ y,y \ 1) = (1 / y) * (y / x). [para(13688(a,1),3669(a,1,2))]. 13690 (1 / ((x \ y) * x)) * (x \ y) = (1 / y) * (y / x). [hyper(66,a,13654,a,b,13689,a)]. 13691 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((1 / ((x \ y) * x)) * y) / ((1 / y) * (y / x)),z). [para(13690(a,1),9904(a,1,1,2)),flip(a)]. 13692 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(66,a,11724,a(flip),b,13686,a),flip(a)]. 13693 K(x * y,z) * x = x * K(y * x,z). [hyper(13121,a,13692,a)]. 13694 K(x * y,T(z,x)) = K(y * x,z). [hyper(7726,a,13693,a)]. 13695 K(x * y,T(z,y)) = K(y * x,z). [hyper(38,a,7997,a,b,13693,a)]. 13700 K(x * y,z) * y = y * K(y * x,z). [para(13694(a,1),7997(a,1,1))]. 13701 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13694(a,1),8503(a,1,2)),flip(a)]. 13702 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13694(a,1),11906(a,1,1))]. 13703 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [hyper(124,a,13695,a(flip),b,5125,a(flip))]. 13706 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13700(a,1),13527(a,1,1,1))]. 13707 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6545,a,13703,a)]. 13708 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(122,a,13707,a,b,4913,a)]. 13709 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13701(a,2),7399(a,1,1))]. 13710 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13709(a,1),7516(a,1,2)),flip(a)]. 13711 K(x,T(y * z,y)) = K(x,z * y). [hyper(8642,a,13710,a(flip))]. 13712 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(11021,a,13711,a)]. 13713 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(11020,a,13711,a)]. 13715 K(x,T(y * z,z)) = K(x,z * y). [hyper(66,a,10086,a,b,13711,a)]. 13717 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13711(a,1),13366(a,1,2)),flip(a)]. 13718 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(13715(a,1),7779(a,1,1))]. 13719 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(285,a,13407,a(flip),b,13713,a),flip(a)]. 13720 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(13328,a,13717,a)]. 13721 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(5744,a,13718,a)]. 13722 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(66,a,10132,a(flip),b,13720,a),flip(a)]. 13723 T(x,T(y * z,z)) = T(x,z * y). [hyper(37,a,7825,a,b,13721,a)]. 13724 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [hyper(8241,a,13723,a)]. 13726 T(x,T(y * z,y)) = T(x,z * y). [hyper(37,a,7825,a,b,13724,a)]. 13727 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(66,a,8819,a(flip),b,13719,a),flip(a)]. 13728 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13406,a(flip),b,13727,a)]. 13729 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13273,a,b,13728,a)]. 13730 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),13728(a,1,2)),flip(a)]. 13731 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13728(a,1),13296(a,1,2))]. 13732 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2969(a,1),13731(a,1,2,2))]. 13733 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13732(a,1),13386(a,2,2))]. 13734 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(87(a,1),13733(a,1,1)),flip(a)]. 13736 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7884(a,2),13734(a,1,2))]. 13737 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(27(a,2),13736(a,1,1))]. 13738 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6145(a,2),13706(a,1,2,2))]. 13739 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(7049(a,1),13702(a,1,1,1))]. 13740 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(66,a,10582,a(flip),b,13722,a),flip(a)]. 13741 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(13328,a,13740,a)]. 13742 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6631(a,2),13741(a,2,2))]. 13743 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(15(a,1),13708(a,1,2,2,1))]. 13744 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(66,a,5895,a(flip),b,13743,a),flip(a)]. 13745 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3034(a,1),13744(a,1,1))]. 13746 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(285,a,7085,a(flip),b,13745,a),flip(a)]. 13747 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13746(a,1),7303(a,1,1)),flip(a)]. 13748 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(90(a,1),13747(a,1,1,2,1)),flip(a)]. 13749 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(185,a,13748,a)]. 13750 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(66,a,13650,a,b,13749,a),flip(a)]. 13751 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13750(a,1),2383(a,1,1))]. 13752 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7280(a,2),13751(a,1,1))]. 13753 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(14(a,1),13752(a,1,1,1,1)),flip(a)]. 13754 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1277,a,13753,a)]. 13755 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(11974(a,2),13754(a,2,1,1))]. 13756 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,y / (x / z)). [hyper(285,a,13038,a(flip),b,13649,a),flip(a)]. 13757 K(x / y,(x / y) \ z) = K(y \ x,y / (x / z)). [hyper(13586,a,13756,a)]. 13759 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(285,a,30,a,b,13676,a),flip(a)]. 13760 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(66,a,30,a,b,13759,a)]. 13761 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(116(a,1),13680(a,1,1,1))]. 13762 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1559,a,13761,a),flip(a)]. 13763 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(116(a,1),13762(a,1,2))]. 13764 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(66,a,6658,a(flip),b,13763,a),flip(a)]. 13766 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(13764(a,1),6653(a,1,1))]. 13767 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(13604,a,13766,a),flip(a)]. 13768 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(13767(a,1),12594(a,1,1))]. 13769 L(K(x,x * y),y,z) = K(x,x * y). [para(8730(a,1),13768(a,1,1))]. 13771 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(66,a,9928,a,b,13769,a)]. 13772 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(66,a,12686,a(flip),b,13769,a)]. 13773 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(13769(a,2),5344(a,1,2))]. 13775 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6645,a,13772,a)]. 13777 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(66,a,12640,a,b,13772,a)]. 13778 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(66,a,10489,a(flip),b,13772,a),flip(a)]. 13779 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(66,a,10486,a(flip),b,13772,a)]. 13780 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1245(a,1),13772(a,1,2))]. 13781 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(13772(a,1),6653(a,1,1))]. 13782 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(7040(a,2),13775(a,1,2,1))]. 13783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(66,a,10890,a,b,13779,a)]. 13784 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(13779(a,1),9228(a,1,1))]. 13785 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6035,a,13773,a)]. 13786 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9268(a,2),13773(a,1,2))]. 13787 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(66,a,12688,a(flip),b,13785,a),flip(a)]. 13788 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(66,a,11591,a(flip),b,13785,a)]. 13790 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(15(a,1),13787(a,1,1,2,1)),flip(a)]. 13791 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(203(a,2),13787(a,1,1,2))]. 13792 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(103(a,1),13787(a,1,1,2,1))]. 13793 K((x / y) \ z,T(z,y)) = K(z * (x \ y),z). [hyper(66,a,9375,a,b,13790,a)]. 13794 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(66,a,9305,a(flip),b,13790,a),flip(a)]. 13795 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(66,a,6665,a(flip),b,13790,a)]. 13796 K(x \ (y * z),y) = K(y * (x \ z),y). [para(14(a,1),13794(a,1,1,2,2)),flip(a)]. 13797 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(66,a,9304,a,b,13795,a)]. 13798 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(13795(a,1),5803(a,1,1,1,2))]. 13799 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(13796(a,1),9145(a,1,1))]. 13800 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(16(a,1),13797(a,1,1,1)),flip(a)]. 13801 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [hyper(124,a,13777,a(flip),b,5125,a(flip)),flip(a)]. 13803 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(285,a,5130,a,b,13801,a),flip(a)]. 13804 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(66,a,12540,a(flip),b,13803,a)]. 13805 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(66,a,10879,a(flip),b,13804,a),flip(a)]. 13806 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13805(a,1),5520(a,1,2))]. 13808 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(66,a,12136,a,b,13771,a)]. 13809 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(10855,a,13782,a)]. 13810 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(285,a,7986,a,b,13786,a)]. 13812 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(13604,a,13781,a),flip(a)]. 13813 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9743,a,13812,a)]. 13814 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(66,a,10812,a(flip),b,13813,a),flip(a)]. 13815 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(66,a,11908,a(flip),b,13806,a),flip(a)]. 13817 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(90(a,1),13815(a,1,2,2)),flip(a)]. 13818 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(15(a,2),13817(a,1,2))]. 13819 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7937(a,2),13810(a,1,1))]. 13820 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,13798,a),flip(a)]. 13821 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(66,a,6671,a,b,13820,a)]. 13822 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1148(a,1),13809(a,1,2,1))]. 13823 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(168(a,1),13822(a,1,2,2))]. 13824 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(66,a,13712,a(flip),b,13823,a)]. 13825 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(66,a,9317,a(flip),b,13819,a),flip(a)]. 13826 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(12163,a,13825,a)]. 13827 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(66,a,12587,a(flip),b,13826,a)]. 13830 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(285,a,6626,a,b,13808,a),flip(a)]. 13831 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(4084(a,1),13830(a,1,1,2))]. 13832 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(6480(a,1),13831(a,1,1))]. 13833 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3341(a,1),13832(a,1,1))]. 13834 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(9111(a,1),13833(a,1,1))]. 13835 K(x,y * x) != z | K(x,x * y) = z. [para(13834(a,1),3653(a,1)),flip(b)]. 13836 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(6626(a,2),13834(a,1,1))]. 13838 L(K(x,y * x),y,z) = K(x,y * x). [hyper(66,a,8725,a(flip),b,13836,a)]. 13839 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(13838(a,1),6033(a,1,2)),flip(a)]. 13840 L(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,5344,a(flip),b,13839,a),flip(a)]. 13841 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(13840(a,1),11377(a,1,1)),flip(a)]. 13842 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(66,a,13785,a(flip),b,13841,a),flip(a)]. 13845 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(268(a,1),13842(a,2,1,2))]. 13846 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(393(a,1),13842(a,2,1,2))]. 13847 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(5785(a,1),13845(a,1,1))]. 13848 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(15(a,1),13847(a,1,2))]. 13849 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(66,a,13799,a(flip),b,13848,a)]. 13851 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(14(a,1),13849(a,1,1,1,2)),flip(a)]. 13852 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(13849(a,1),5804(a,1,1,1,2))]. 13853 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(66,a,13794,a(flip),b,13851,a)]. 13854 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(66,a,10613,a(flip),b,13853,a),flip(a)]. 13856 (1 / (x * y)) * (T(x,y) * T(T(y,x),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(4113(a,1),13648(a,1,2,2,1))]. 13857 (1 / (x * y)) * (K(y,z) * (x * y)) = K(((1 / (y * x)) * x) \ 1,z). [para(5740(a,1),13856(a,1,2))]. 13858 (1 / (x * y)) * (K(y,z) * (x * y)) = K((((y * x) \ 1) * x) \ 1,z). [hyper(285,a,6705,a(flip),b,13857,a),flip(a)]. 13859 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7486,a,13852,a),flip(a)]. 13861 K((((1 / x) * y) \ 1) / ((x \ 1) * (y * (x / y))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12242(a,1),13663(a,1,1,2))]. 13862 K((((1 / x) * y) \ 1) * (x * (1 / (y * (x / y)))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12349(a,1),13861(a,1,1))]. 13863 K((((1 / x) * y) \ 1) * (x * ((y * (x / y)) \ 1)),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [hyper(66,a,6699,a(flip),b,13862,a)]. 13864 K((((1 / x) * y) \ 1) * K(y \ x,y),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(7258(a,1),13863(a,1,1,2))]. 13865 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ K(x \ y,x),z). [para(11840(a,1),13864(a,1,1)),flip(a)]. 13866 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(T(((1 / y) * x) \ 1,x),z). [para(6163(a,1),13865(a,2,1))]. 13867 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ 1,T(z,x)). [hyper(285,a,7761,a(flip),b,13866,a),flip(a)]. 13868 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((y \ 1) * x) \ 1,T(z,x)). [hyper(285,a,6705,a(flip),b,13867,a),flip(a)]. 13869 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5785(a,1),13846(a,1,1))]. 13870 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(13791(a,1),13869(a,1,1))]. 13871 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(360(a,1),13870(a,1,2)),flip(a)]. 13873 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(66,a,13792,a(flip),b,13871,a),flip(a)]. 13874 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(13873(a,1),6032(a,1,1))]. 13875 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6475(a,1),13873(a,1,1)),flip(a)]. 13876 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(66,a,9335,a,b,13875,a)]. 13877 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(13875(a,1),5302(a,2,2,2))]. 13878 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(5332,a,13874,a),flip(a)]. 13879 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(13775(a,1),13878(a,1,1))]. 13880 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(285,a,11639,a(flip),b,13877,a),flip(a)]. 13881 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(66,a,13784,a(flip),b,13879,a),flip(a)]. 13882 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(453(a,1),13881(a,1,2,1))]. 13883 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(66,a,13775,a(flip),b,13882,a),flip(a)]. 13885 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(8619,a,13883,a)]. 13886 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(285,a,13778,a(flip),b,13883,a),flip(a)]. 13887 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(14(a,1),13883(a,1,2,1,2)),flip(a)]. 13888 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(13605,a,13886,a)]. 13889 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(14(a,1),13886(a,1,2,1,2)),flip(a)]. 13890 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13887(a,1),11408(a,1,1))]. 13891 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(13887(a,1),13737(a,1,2,2)),flip(a)]. 13892 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(13888(a,1),6653(a,1,1)),flip(a)]. 13893 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(6806(a,1),13888(a,1,2,2,1,2))]. 13894 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(13880(a,1),13876(a,1,2,1,1))]. 13895 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(5952(a,1),13894(a,1,2,1))]. 13897 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(13892(a,2),13604(a,1))]. 13898 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(23(a,2),13742(a,1,2,2,2)),flip(a)]. 13899 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(5785(a,1),13890(a,1,2,1,2))]. 13900 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(285,a,7894,a,b,13891,a),flip(a)]. 13901 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13851(a,1),13899(a,1,2,1,2))]. 13902 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(8641,a,13901,a)]. 13904 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(13902(a,2),4222(a,1))]. 13905 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(13889(a,1),13900(a,2,1))]. 13906 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(285,a,10587,a(flip),b,13905,a),flip(a)]. 13907 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(7940(a,1),13906(a,1,2))]. 13908 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(10219,a,13907,a)]. 13909 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(13904,a,13908,a),flip(a)]. 13910 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,10444,a(flip),b,13909,a),flip(a)]. 13911 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,8882,a,b,13910,a)]. 13912 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(13911(a,1),13760(a,1,1))]. 13913 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(13672(a,1),13912(a,1,1)),flip(a)]. 13914 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(13913(a,1),5644(a,1,2,1))]. 13916 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(66,a,5644,a(flip),b,13914,a),flip(a)]. 13917 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13893,a(flip),b,13916,a),flip(a)]. 13918 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(13897,a,13917,a)]. 13919 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13885,a(flip),b,13918,a)]. 13920 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(13(a,1),13919(a,1,2,2,1))]. 13921 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(285,a,7180,a(flip),b,13920,a),flip(a)]. 13922 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(285,a,13859,a(flip),b,13921,a),flip(a)]. 13923 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(13(a,1),13922(a,2,2,2,1))]. 13924 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(66,a,13783,a,b,13923,a)]. 13925 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,13814,a(flip),b,13924,a),flip(a)]. 13927 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3245(a,1),13925(a,1,2))]. 13928 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(13927(a,1),7399(a,1,1,2)),flip(a)]. 13929 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(285,a,7399,a(flip),b,13928,a),flip(a)]. 13930 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13929(a,1),6571(a,1,1,2))]. 13931 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13821(a,1),13930(a,1,1,2))]. 13932 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(78(a,1),13931(a,1,1,2,1,2))]. 13933 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5795(a,1),13932(a,1,1))]. 13934 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(66,a,30,a,b,13933,a)]. 13935 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5719(a,1),13934(a,1,1)),flip(a)]. 13936 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4254,a,13935,a)]. 13937 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(146,a,13936,a)]. 13938 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(13936(a,1),9082(a,1,2))]. 13940 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(66,a,13242,a(flip),b,13937,a),flip(a)]. 13942 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(13937(a,1),11884(a,1,2))]. 13944 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13940(a,1),473(a,1,1)),flip(a)]. 13945 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(12830,a,13942,a),flip(a)]. 13947 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13940(a,1),13942(a,1,2))]. 13948 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(13945(a,1),11872(a,1,2)),flip(a)]. 13949 K(x * L(y,z,u),y) = K(y * x,y). [hyper(285,a,12775,a(flip),b,13948,a),flip(a)]. 13953 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(66,a,10352,a,b,13949,a)]. 13956 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(15(a,1),13953(a,1,1)),flip(a)]. 13957 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(66,a,13794,a(flip),b,13956,a)]. 13959 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(10966,a,13957,a)]. 13963 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10658(a,1),13938(a,1))]. 13964 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(285,a,112,a(flip),b,13944,a),flip(a)]. 13965 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10040(a,1),13964(a,1,1,1)),flip(a)]. 13966 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13964(a,1),13473(a,1,1))]. 13968 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13966(a,1),12880(a,1))]. 13969 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(66,a,13556,a(flip),b,13947,a),flip(a)]. 13970 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(341(a,1),13969(a,1,2,3))]. 13971 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12865,a,13970,a)]. 13972 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13968,a,13971,a)]. 13973 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13553,a(flip),b,13971,a),flip(a)]. 13974 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(15(a,1),13972(a,1,2)),flip(a)]. 13975 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [hyper(124,a,13974,a(flip),b,11754,a),flip(a)]. 13976 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [hyper(124,a,13974,a(flip),b,11743,a),flip(a)]. 13977 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(66,a,10040,a(flip),b,13976,a),flip(a)]. 13978 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13973(a,1),13292(a,1,1))]. 13979 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(66,a,10644,a(flip),b,13978,a)]. 13980 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12940(a,1),13977(a,1,2,1)),flip(a)]. 13981 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(285,a,13975,a,b,13980,a),flip(a)]. 13983 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13981(a,1),13965(a,2,1,1))]. 13984 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(11064(a,1),13755(a,1,1)),flip(a)]. 13985 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(285,a,11974,a(flip),b,13984,a),flip(a)]. 13987 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(285,a,5130,a,b,13985,a),flip(a)]. 13988 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(11970(a,1),13987(a,1,1,1))]. 13989 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(66,a,12216,a,b,13988,a)]. 13990 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7860(a,1),13373(a,1,2,1,2))]. 13991 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((1 / y) * (y / x)),z). [para(5882(a,1),13691(a,2,1,1))]. 13992 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((y \ 1) * (y / x)),z). [hyper(285,a,6732,a(flip),b,13991,a),flip(a)]. 13993 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((y \ 1) * (x \ y)) \ 1,z). [hyper(285,a,6580,a(flip),b,13992,a),flip(a)]. 13994 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(285,a,6749,a(flip),b,13993,a),flip(a)]. 13995 K(x,K(x,x \ y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(5882(a,1),13994(a,1,2,1))]. 13996 K(x,K(x,x \ y) / ((((x \ y) * x) \ 1) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,7185,a(flip),b,13995,a)]. 13997 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(10114(a,1),13990(a,1,2,1,2))]. 13998 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7897(a,1),13997(a,1,2,1,2))]. 13999 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7954(a,1),13998(a,1,2,1,2))]. 14000 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5414(a,2),13999(a,1,2,1))]. 14001 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(66,a,5577,a,b,14000,a)]. 14002 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(10129(a,1),14001(a,1,1)),flip(a)]. 14003 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14002(a,2,2))]. 14004 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14003,a),flip(a)]. 14006 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),13105(a,1,1,1))]. 14007 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12039(a,1),14006(a,1,1))]. 14008 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6423,a,14007,a)]. 14010 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),14008(a,1,2))]. 14011 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),13989(a,1,2,1,1))]. 14012 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14011(a,1,2,1))]. 14013 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7908(a,1),14012(a,1,2,1))]. 14015 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),14013(a,1,2,2,1))]. 14016 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14015(a,1,2,2))]. 14018 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12024(a,1),14016(a,1,2))]. 14019 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(66,a,11966,a(flip),b,14018,a)]. 14020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(66,a,12034,a,b,14019,a)]. 14021 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12023,a(flip),b,14020,a)]. 14022 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12328,a(flip),b,14021,a),flip(a)]. 14023 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(66,a,11979,a(flip),b,14022,a)]. 14024 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(66,a,11088,a(flip),b,14023,a)]. 14025 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(14024(a,1),11962(a,1,1)),flip(a)]. 14026 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(66,a,11170,a(flip),b,14025,a),flip(a)]. 14027 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(11981(a,1),14026(a,1,1)),flip(a)]. 14029 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(14027(a,1),13983(a,2,1))]. 14030 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13974(a,1),14029(a,2,1,1))]. 14032 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(9261(a,1),14030(a,1,1,1))]. 14034 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13053(a,1),14032(a,1,1))]. 14035 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12851(a,1),14034(a,1,1)),flip(a)]. 14036 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(14035(a,1),468(a,1,2))]. 14037 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(13018,a,14036,a),flip(a)]. 14038 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12859(a,1),14037(a,2,2))]. 14040 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(285,a,12863,a(flip),b,14038,a),flip(a)]. 14042 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(55,a,14040,a)]. 14043 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(14042(a,1),12905(a,1,2))]. 14044 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12910(a,1),14043(a,1,1,2,1))]. 14045 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(480,a,14044,a),flip(a)]. 14047 R(a(x,y,x),z,u) = a(x,y,x). [hyper(37,a,12857,a(flip),b,14045,a),flip(a)]. 14048 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(66,a,470,a,b,14047,a)]. 14050 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(66,a,13972,a(flip),b,14047,a)]. 14051 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(66,a,13432,a(flip),b,14047,a),flip(a)]. 14052 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(14047(a,1),112(a,1,1)),flip(a)]. 14054 L(x,y,a(z,u,z)) = x. [para(14047(a,1),14042(a,1,3))]. 14056 L(x,y,a(z,u,z)) != w | x = w. [para(14054(a,1),53(a,2))]. 14057 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(14054(a,1),499(a,1,2))]. 14058 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(14054(a,1),443(a,1,2,1)),flip(a)]. 14061 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(14050(a,1),13203(a,1,1)),flip(a)]. 14062 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(14050(a,1),13979(a,1,2)),flip(a)]. 14063 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(13945(a,2),14061(a,2,1))]. 14066 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5795(a,1),14051(a,1,2)),flip(a)]. 14067 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),19(a,2,1)),flip(a)]. 14068 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12857(a,1),14052(a,1,1))]. 14069 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(285,a,11880,a(flip),b,14063,a),flip(a)]. 14071 L(x,y,L(x,z,u)) = L(x,y,x). [para(352(a,1),14069(a,1,3)),flip(a)]. 14072 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(14071(a,1),35(a,1,1)),flip(a)]. 14074 T(L(x,x \ y,x) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(14071(a,1),11251(a,1,1,1))]. 14077 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(14072(a,1),12891(a,1,1,2))]. 14078 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(285,a,12801,a(flip),b,14062,a),flip(a)]. 14080 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11426,a,14078,a),flip(a)]. 14082 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(66,a,13014,a(flip),b,14080,a)]. 14083 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(66,a,11679,a(flip),b,14082,a)]. 14087 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(66,a,11178,a(flip),b,14083,a)]. 14089 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(285,a,13775,a(flip),b,14087,a),flip(a)]. 14090 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(66,a,11547,a,b,14089,a)]. 14091 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(66,a,11548,a(flip),b,14089,a)]. 14093 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1166(a,1),14090(a,1,2,2))]. 14095 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(66,a,10612,a(flip),b,14091,a),flip(a)]. 14096 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(16(a,1),14095(a,1,2,2,2,1)),flip(a)]. 14097 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(14096(a,1),10223(a,1,2))]. 14098 T(x / T(y,x),L(y,z,u)) = y \ T(x,L(y,z,u)). [para(7646(a,1),14074(a,1,1))]. 14100 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(285,a,13778,a(flip),b,14093,a),flip(a)]. 14101 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(15(a,1),14100(a,1,2,2,2,1))]. 14102 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(13251,a,14101,a),flip(a)]. 14103 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12938(a,1),14048(a,1,1,1))]. 14105 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(27(a,2),14102(a,1,2,2,1))]. 14106 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(66,a,10487,a(flip),b,14105,a),flip(a)]. 14107 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(285,a,6638,a(flip),b,14106,a),flip(a)]. 14108 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(14107(a,1),11428(a,1,1,2)),flip(a)]. 14109 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(66,a,13488,a(flip),b,14066,a)]. 14110 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(112(a,1),14103(a,1,1))]. 14111 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(11543(a,1),14097(a,1,1))]. 14112 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(14052(a,1),14058(a,2,1))]. 14113 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(285,a,14057,a(flip),b,14112,a),flip(a)]. 14114 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(25(a,2),14113(a,2,2))]. 14115 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(14054(a,1),14114(a,1,2))]. 14116 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14067(a,1,2,1))]. 14117 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5392(a,1),14109(a,2,2))]. 14118 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12808,a,14117,a)]. 14119 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14116(a,1,2))]. 14120 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(770,a,14119,a)]. 14121 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(14056,a,14120,a),flip(a)]. 14123 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12799(a,1),14121(a,1,1))]. 14124 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12810(a,1),14121(a,1,1))]. 14125 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12796(a,1),14121(a,1,1))]. 14126 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(15(a,1),14123(a,1,1,1)),flip(a)]. 14127 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(8174(a,2),14125(a,2,1)),flip(a)]. 14128 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(7219(a,1),14126(a,1,1))]. 14129 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(7241(a,1),14127(a,2,1))]. 14130 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(285,a,14128,a(flip),b,14129,a),flip(a)]. 14131 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(115(a,1),14130(a,1,1,1,2))]. 14132 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(66,a,14124,a(flip),b,14131,a),flip(a)]. 14133 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4596(a,1),14132(a,1,1)),flip(a)]. 14134 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6092(a,1),14132(a,1,1))]. 14135 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(13035(a,2),14133(a,2,1)),flip(a)]. 14136 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(66,a,14132,a(flip),b,14134,a)]. 14137 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(66,a,14132,a(flip),b,14136,a),flip(a)]. 14138 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(66,a,14132,a(flip),b,14137,a)]. 14139 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6107(a,1),14135(a,2,1))]. 14140 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(285,a,14133,a(flip),b,14139,a),flip(a)]. 14141 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(13035(a,1),14140(a,1,1))]. 14142 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(285,a,14138,a(flip),b,14141,a),flip(a)]. 14143 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5830(a,1),13739(a,1,1))]. 14144 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(15(a,1),14143(a,1,2,2,1,2))]. 14146 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8749(a,1),14144(a,1,2))]. 14147 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(12907(a,1),12915(a,2,2,1,1))]. 14148 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(285,a,1535,a(flip),b,14147,a),flip(a)]. 14149 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1726(a,1),14148(a,2,2))]. 14150 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(820(a,1),14149(a,2,2,1))]. 14151 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),14150(a,2,2,1,2))]. 14152 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1535(a,1),14151(a,1,1))]. 14153 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(14115(a,2),14152(a,1,1,2))]. 14154 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(15(a,1),14153(a,1,1,2,1)),flip(a)]. 14155 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(14047(a,1),12811(a,1,1,1)),flip(a)]. 14156 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12946(a,1),14155(a,2,1))]. 14158 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(662(a,1),14156(a,2,1,2,1))]. 14159 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5157(a,1),14158(a,2,1))]. 14160 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(285,a,23,a,b,14159,a),flip(a)]. 14161 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(14047(a,1),14160(a,1,3))]. 14162 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(14056,a,14161,a),flip(a)]. 14165 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(15(a,1),14162(a,1,3,1)),flip(a)]. 14166 L(x,y / z,K(y,z)) = x. [hyper(7748,a,14165,a)]. 14167 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(14166(a,1),5651(a,1,2)),flip(a)]. 14168 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5452,a,14167,a)]. 14169 R(K(x,y),x \ y,z) = K(x,y). [hyper(9006,a,14168,a)]. 14170 R(K(x,x * y),y,z) = K(x,x * y). [para(14(a,1),14169(a,1,2))]. 14172 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(14170(a,1),12676(a,2,2))]. 14173 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(285,a,5130,a,b,14172,a),flip(a)]. 14175 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(66,a,4831,a(flip),b,14173,a)]. 14176 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(17(a,1),14175(a,1,2,1,2))]. 14177 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(66,a,10869,a,b,14176,a)]. 14178 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(285,a,5130,a(flip),b,14177,a)]. 14179 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(37,a,9480,a,b,14178,a)]. 14180 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(37,a,5130,a(flip),b,14178,a)]. 14181 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(66,a,10224,a,b,14179,a)]. 14182 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(66,a,10854,a(flip),b,14180,a)]. 14183 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(14180(a,1),8052(a,1,1,2))]. 14184 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(25(a,2),14182(a,1,2,1)),flip(a)]. 14185 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(14182(a,1),7399(a,1,1,2))]. 14186 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(7411,a,14185,a),flip(a)]. 14187 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(66,a,13827,a(flip),b,14186,a),flip(a)]. 14188 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(25(a,2),14186(a,1,1,1)),flip(a)]. 14189 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(3064(a,1),14186(a,2,1,2))]. 14190 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(15(a,1),14187(a,1,1,2,1)),flip(a)]. 14191 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(66,a,10393,a,b,14190,a)]. 14192 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(14191(a,1),13278(a,1,1))]. 14193 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(13779(a,1),14181(a,1,2))]. 14194 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(66,a,14111,a(flip),b,14193,a)]. 14195 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(66,a,11203,a(flip),b,14194,a),flip(a)]. 14196 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7995(a,1),14192(a,1,2))]. 14197 a(x,y / z,x) = a(x,z \ y,x). [hyper(12802,a,14196,a)]. 14198 a(x,(y \ z) \ z,x) = a(x,y,x). [para(87(a,1),14197(a,1,2)),flip(a)]. 14199 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(113(a,2),14197(a,1,2))]. 14200 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14197(a,1,2))]. 14201 a(x,T(y,z),x) = a(x,y,x). [para(4140(a,2),14198(a,1,2))]. 14202 a(x,y * K(z,y),x) = a(x,y,x). [para(5930(a,1),14198(a,1,2)),flip(a)]. 14203 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(13081(a,1),14198(a,1,2)),flip(a)]. 14204 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(285,a,13481,a,b,14201,a),flip(a)]. 14205 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14201(a,1),12812(a,1,1))]. 14206 L(a(x,y,x),y,z) = a(x,y,x). [hyper(66,a,14051,a(flip),b,14202,a)]. 14208 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14206(a,1),14118(a,1,1))]. 14209 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(66,a,14203,a(flip),b,14199,a)]. 14211 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(14209(a,2),12874(a,1,2,1)),flip(a)]. 14212 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(66,a,14184,a(flip),b,14195,a),flip(a)]. 14213 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(66,a,11463,a(flip),b,14212,a),flip(a)]. 14214 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(285,a,14197,a(flip),b,14208,a),flip(a)]. 14216 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(23(a,2),14214(a,2,2))]. 14217 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(453(a,1),14216(a,2,2))]. 14218 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8054,a,14183,a),flip(a)]. 14219 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(66,a,9394,a(flip),b,14218,a)]. 14220 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10877,a,14219,a)]. 14221 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14220(a,1),14146(a,1,2))]. 14222 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(16(a,1),14189(a,1,1,1)),flip(a)]. 14223 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(285,a,6690,a(flip),b,14222,a),flip(a)]. 14225 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(13284,a,14204,a)]. 14226 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(285,a,7681,a(flip),b,14225,a),flip(a)]. 14228 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8239(a,2),14226(a,2,1)),flip(a)]. 14229 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5785(a,2),14228(a,1,1,1))]. 14230 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(66,a,12176,a,b,14229,a)]. 14231 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(37,a,8481,a,b,14230,a)]. 14232 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(66,a,13788,a,b,14231,a)]. 14233 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5150(a,1),14232(a,1,1,2))]. 14234 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(15(a,1),14217(a,1,2))]. 14235 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(212(a,1),14234(a,2,2))]. 14236 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8215(a,1),14233(a,1,1))]. 14237 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5150(a,1),14236(a,2,2))]. 14239 R(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,8215,a(flip),b,14237,a),flip(a)]. 14241 R(K(x * y,x),y,z) = K(y * x,x). [para(5785(a,1),14239(a,1,1))]. 14242 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(66,a,1688,a,b,14241,a)]. 14243 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(19(a,2),14200(a,2,2))]. 14244 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(12900(a,2),14235(a,1,1,2,1))]. 14245 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8366(a,1),14221(a,1,2)),flip(a)]. 14246 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(285,a,5520,a(flip),b,14245,a),flip(a)]. 14247 L(x,y / z,x) = L(x,z \ y,x). [hyper(66,a,13818,a(flip),b,14246,a),flip(a)]. 14249 L(x,(y \ z) \ z,x) = L(x,y,x). [para(87(a,1),14247(a,1,2)),flip(a)]. 14250 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5379(a,2),14247(a,1,2))]. 14251 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14247(a,1,2))]. 14253 L(x,y * K(z,y),x) = L(x,y,x). [para(5930(a,1),14249(a,1,2)),flip(a)]. 14256 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5798(a,1),14253(a,1,2))]. 14258 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(66,a,14256,a(flip),b,14250,a),flip(a)]. 14261 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(19(a,2),14251(a,2,2))]. 14262 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7729(a,1),14242(a,1,1,1))]. 14263 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9695(a,1),14262(a,1,1,1))]. 14264 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(112(a,1),14263(a,1,1))]. 14265 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13173(a,1),14205(a,1,1))]. 14267 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13562(a,1),14265(a,1,1))]. 14268 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(14(a,1),14267(a,1,1,1))]. 14269 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(14(a,1),14268(a,1,1,3)),flip(a)]. 14270 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6404(a,1),14269(a,2,2))]. 14271 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(14(a,1),14270(a,2,2,2))]. 14272 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5316(a,1),14271(a,2,2))]. 14273 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(285,a,12799,a(flip),b,14272,a),flip(a)]. 14274 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6548,a,14273,a)]. 14275 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(14(a,1),14274(a,1,2))]. 14276 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(66,a,6688,a(flip),b,14275,a)]. 14277 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(10230,a,14276,a)]. 14279 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(15(a,1),14277(a,2,1))]. 14280 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(66,a,11375,a(flip),b,14279,a),flip(a)]. 14282 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(66,a,6694,a(flip),b,14280,a)]. 14283 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(66,a,7320,a(flip),b,14282,a)]. 14285 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(66,a,8378,a,b,14283,a)]. 14286 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(15(a,1),14283(a,1,1,2,1)),flip(a)]. 14288 K((x / y) \ z,x / y) = K(z * (x \ y),x / y). [para(17(a,1),14285(a,1,1,2,1)),flip(a)]. 14289 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14285(a,1),13738(a,1,1,1,2))]. 14290 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(285,a,12458,a,b,14286,a),flip(a)]. 14291 K((x / y) \ z,x / y) = K(z * (y / x),x / y). [hyper(285,a,12459,a,b,14288,a),flip(a)]. 14292 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K(u * (x / y),x \ y)) \ y. [para(14290(a,1),9409(a,2,1,2))]. 14293 K((x \ y) \ z,y / x) = K(z * (x / y),y / x). [hyper(66,a,7618,a(flip),b,14291,a)]. 14294 K(x / (y \ z),z / y) = K(x * (y / z),z / y). [hyper(66,a,8351,a,b,14293,a)]. 14295 1 / (((x / y) \ 1) \ K(z * (x / y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(14294(a,1),10325(a,1,2,2))]. 14296 1 / (T((x / y) \ 1,z * (x / y)) \ 1) = T((x / y) \ 1,(x \ y) \ z). [para(5716(a,1),14295(a,1,2))]. 14297 T((x / y) \ 1,(x \ y) \ z) = T((x / y) \ 1,z * (x / y)). [hyper(297,a,14296,a)]. 14299 ((x / y) * T((x / y) \ 1,z * (x / y))) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(14297(a,1),10263(a,1,1,2))]. 14300 K((x / y) \ 1,z * (x / y)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(5126(a,1),14299(a,1,1))]. 14301 K(x / (y \ z),(y / z) \ 1) = K(z / y,x * (y / z)) \ 1. [para(5830(a,1),14300(a,1,1)),flip(a)]. 14302 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = T(x \ y,u * (x / y)). [hyper(285,a,7461,a(flip),b,14292,a),flip(a)]. 14303 T(x \ y,z * (x / y)) = ((x \ y) \ z) \ z. [hyper(66,a,3637,a(flip),b,14302,a),flip(a)]. 14304 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z,u) * (x / y)). [hyper(285,a,13626,a,b,14303,a)]. 14305 ((((x \ y) \ z) \ z) * u) \ ((x \ y) * u) = K(z * (x / y),T(x \ y,u)). [para(14303(a,1),7435(a,1,1,1))]. 14306 K((x \ y) \ z,T(x \ y,u)) = K(z * (x / y),T(x \ y,u)). [hyper(66,a,7502,a(flip),b,14305,a)]. 14307 (x * K(y * (x / z),T(x \ z,u))) \ z = T(x \ z,T((x \ z) \ y,u)). [para(14306(a,1),7784(a,1,1,2))]. 14308 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z * (x / y),u)). [hyper(7785,a,14307,a),flip(a)]. 14309 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (x / y)). [hyper(66,a,14304,a(flip),b,14308,a),flip(a)]. 14310 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(271(a,1),14289(a,1,1,1))]. 14312 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8472(a,1),14310(a,1,1))]. 14313 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(115(a,1),14312(a,1,2,2,2))]. 14314 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9783(a,1),14313(a,1,2))]. 14315 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3604(a,1),14314(a,1,2))]. 14316 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(66,a,13610,a(flip),b,14315,a)]. 14317 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(66,a,10433,a(flip),b,14316,a)]. 14318 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(189(a,1),14317(a,1,2)),flip(a)]. 14319 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(66,a,12506,a,b,14318,a)]. 14322 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(66,a,7598,a(flip),b,14319,a)]. 14324 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(66,a,8381,a(flip),b,14322,a),flip(a)]. 14325 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(17(a,1),14322(a,1,2,2,2)),flip(a)]. 14326 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(285,a,12461,a(flip),b,14324,a),flip(a)]. 14328 K(x / y,z * (y / x)) = K(y \ x,y / (x / z)). [hyper(66,a,13757,a(flip),b,14325,a),flip(a)]. 14329 K(x \ y,z * (y \ x)) * (x \ y) = T(x \ y,z / (x \ y)). [para(14326(a,1),5266(a,1,1))]. 14330 K(x / y,z * (x \ y)) = K(y \ x,y / (x / z)). [hyper(66,a,12492,a(flip),b,14328,a)]. 14331 K(x / (y \ z),(y / z) \ 1) = K(y \ z,y / (z / x)) \ 1. [para(14328(a,1),14301(a,2,1))]. 14332 T(x \ y,z / (x \ y)) = T(x \ y,z * (y \ x)). [hyper(5259,a,14329,a),flip(a)]. 14333 T(x \ y,z * (y \ x)) = ((x \ y) \ z) \ z. [hyper(4167,a,14332,a),flip(a)]. 14334 T(x \ y,z * (x / y)) = T(x \ y,z * (y \ x)). [hyper(285,a,14303,a,b,14333,a)]. 14335 K(T(x \ y,z * (y \ x)),u) = K(x \ y,T(u,z)). [para(14333(a,2),7687(a,1,1))]. 14336 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14309,a,b,14334,a)]. 14337 (x * T(y \ z,u * (z \ y))) / T(x,y \ z) = T(y \ z,T(u * (y / z),x)). [para(14334(a,1),8359(a,1,1,2))]. 14338 K(x / (y \ z),(y / z) \ 1) = K(y / (z / x),y \ z) * 1. [hyper(285,a,5334,a(flip),b,14331,a),flip(a)]. 14339 K(x / (y \ z),(y / z) \ 1) = K((z / x) \ y,z / y) * 1. [para(7744(a,1),14338(a,2,1))]. 14340 K(x / (y \ z),z / y) = K((z / x) \ y,z / y). [hyper(5756,a,14339,a)]. 14341 K((x / y) \ z,x / z) = K(y * (z / x),x / z). [hyper(66,a,14294,a(flip),b,14340,a),flip(a)]. 14342 K((x / y) \ z,x / z) = K(y * (x \ z),x / z). [hyper(285,a,12459,a(flip),b,14341,a),flip(a)]. 14343 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z * (y \ x),u)). [hyper(8364,a,14337,a),flip(a)]. 14345 T(x \ y,T(z * (y \ x),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14336,a(flip),b,14343,a),flip(a)]. 14346 K(T(x \ y,T(z * (y \ x),u)),w) = K(x \ y,T(w,T(z,u))). [para(14345(a,2),14335(a,1,1))]. 14347 K(x \ y,T(z,T(u * (y \ x),w))) = K(x \ y,T(z,T(u,w))). [hyper(8426,a,14346,a)]. 14348 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(285,a,11103,a(flip),b,14108,a),flip(a)]. 14350 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(285,a,11108,a(flip),b,14348,a),flip(a)]. 14351 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(13168,a,14350,a)]. 14352 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(14351(a,1),11723(a,1,1,2)),flip(a)]. 14353 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(285,a,11723,a(flip),b,14352,a),flip(a)]. 14354 a(x,y,K(x * z,z)) = 1. [hyper(66,a,9105,a(flip),b,14353,a),flip(a)]. 14355 L(K(x * y,y),z,x) = K(x * y,y). [hyper(55,a,14354,a)]. 14356 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(14355(a,1),7707(a,2,1))]. 14357 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10145(a,1),14356(a,1,2,2))]. 14358 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7682(a,1),14357(a,1,2)),flip(a)]. 14359 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(303,a,14358,a),flip(a)]. 14360 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(66,a,12884,a(flip),b,14358,a),flip(a)]. 14361 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12861(a,1),14360(a,1,2)),flip(a)]. 14362 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(303,a,14361,a),flip(a)]. 14363 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(66,a,14068,a,b,14361,a)]. 14364 L(x,a(y,z,y),z) = x. [hyper(445,a,14363,a)]. 14365 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(14363(a,1),14110(a,1,1,1))]. 14366 L(x,K(y,z),z \ y) = x. [hyper(13513,a,14364,a)]. 14367 L(x,K(y,z),y / z) = x. [hyper(10026,a,14366,a)]. 14370 L(x,K(y * z,z),y) = x. [para(16(a,1),14367(a,1,3))]. 14371 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1176,a,14370,a),flip(a)]. 14372 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(14371(a,1),14264(a,1,1,1))]. 14373 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(15(a,1),14365(a,1,2,1))]. 14374 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(14362(a,1),14373(a,1,1,1)),flip(a)]. 14375 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(285,a,25,a,b,14374,a),flip(a)]. 14376 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(14(a,1),14375(a,1,2,2)),flip(a)]. 14377 a(x,R(y,z,u),x) = a(x,y,x). [hyper(66,a,14047,a(flip),b,14376,a),flip(a)]. 14379 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(66,a,14243,a(flip),b,14377,a),flip(a)]. 14380 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(14377(a,1),13072(a,1,1)),flip(a)]. 14381 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(14377(a,1),14211(a,2,2,1))]. 14383 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5379(a,1),14379(a,1,2,2))]. 14384 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(285,a,13072,a(flip),b,14380,a),flip(a)]. 14385 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(14384(a,1),12188(a,1,2))]. 14386 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(285,a,12874,a(flip),b,14381,a),flip(a)]. 14388 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(66,a,14258,a(flip),b,14386,a)]. 14390 L(x,R(y,z,u),x) = L(x,y,x). [para(14(a,1),14388(a,2,2))]. 14393 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(66,a,14261,a(flip),b,14390,a),flip(a)]. 14395 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(727(a,1),14385(a,1,2)),flip(a)]. 14397 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(14395(a,1),5123(a,2,2)),flip(a)]. 14398 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(66,a,12149,a(flip),b,14397,a)]. 14399 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(14359(a,1),14372(a,1,1,1)),flip(a)]. 14400 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(285,a,25,a,b,14399,a),flip(a)]. 14401 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5786,a,14400,a)]. 14402 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5785(a,1),14401(a,2,1))]. 14403 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(110(a,1),14402(a,1,1,2))]. 14404 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(3061(a,1),14403(a,1,1,2,2,1))]. 14405 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(13418(a,1),14383(a,1,2)),flip(a)]. 14406 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(285,a,14379,a(flip),b,14405,a),flip(a)]. 14407 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(5404(a,1),14406(a,1,2))]. 14408 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(66,a,14244,a,b,14407,a)]. 14409 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(66,a,14188,a(flip),b,14404,a),flip(a)]. 14410 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(285,a,6714,a(flip),b,14409,a),flip(a)]. 14411 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(14223(a,1),14410(a,1,1))]. 14412 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14411(a,1),13090(a,1,2,2))]. 14415 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(66,a,7989,a(flip),b,14412,a),flip(a)]. 14416 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14415(a,1),7531(a,1,1,2))]. 14417 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(7783,a,14416,a),flip(a)]. 14418 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7761(a,1),14417(a,1,1))]. 14419 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(285,a,8988,a,b,14418,a)]. 14420 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(12481(a,1),14419(a,2,1))]. 14421 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3352(a,1),14420(a,1,1))]. 14424 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(6424(a,1),14421(a,1,2))]. 14425 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(125,a,14424,a),flip(a)]. 14426 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6428(a,1),14425(a,1,1)),flip(a)]. 14427 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(13084(a,1),14425(a,1,1))]. 14428 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14426(a,1),14427(a,1,1)),flip(a)]. 14429 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(66,a,14213,a(flip),b,14428,a),flip(a)]. 14430 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4413(a,1),14429(a,1,1))]. 14433 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14430(a,1),9790(a,1,1,1,2))]. 14438 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12033,a,14433,a)]. 14439 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(79(a,1),14438(a,1,2))]. 14440 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(133,a,14439,a),flip(a)]. 14443 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(285,a,13729,a(flip),b,14440,a),flip(a)]. 14446 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(14440(a,1),14010(a,1,1,2))]. 14449 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14443(a,1),6184(a,1,2,1))]. 14450 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5454,a,14449,a),flip(a)]. 14452 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(66,a,12013,a(flip),b,14446,a),flip(a)]. 14453 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(285,a,12267,a(flip),b,14452,a),flip(a)]. 14454 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(285,a,13392,a(flip),b,14453,a),flip(a)]. 14455 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6423,a,14454,a)]. 14457 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5334(a,1),14455(a,1,2))]. 14458 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(14457(a,1),5310(a,1,1))]. 14459 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(13408(a,1),14458(a,1,2))]. 14460 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(125,a,14459,a)]. 14461 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7907(a,1),14459(a,1,2,1))]. 14462 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5452,a,14460,a)]. 14463 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6090(a,1),14460(a,1,2))]. 14465 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9018(a,1),14460(a,1,2))]. 14466 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(14460(a,1),10949(a,2,2))]. 14467 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(14460(a,1),11784(a,1,1,2))]. 14468 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(14460(a,1),11994(a,2,2))]. 14469 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(14460(a,1),12293(a,1,3))]. 14471 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(14469(a,1),265(a,1,2))]. 14472 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(14462(a,1),10031(a,1,1)),flip(a)]. 14473 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(14465(a,1),5522(a,1,2)),flip(a)]. 14474 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(14465(a,1),14398(a,1,1))]. 14475 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(66,a,11593,a,b,14466,a)]. 14476 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(66,a,8501,a,b,14466,a)]. 14477 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(14460(a,1),14467(a,1,2))]. 14479 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(122,a,117,a(flip),b,14477,a)]. 14480 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7721,a,14473,a)]. 14481 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(14480(a,2),46(a,1))]. 14482 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(285,a,14132,a(flip),b,14463,a),flip(a)]. 14483 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(66,a,12051,a(flip),b,14463,a)]. 14484 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(10157(a,1),14461(a,1,2,2))]. 14485 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12025(a,1),14484(a,1,2))]. 14486 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(14(a,1),14475(a,1,2,1,2,1))]. 14488 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6682(a,1),14486(a,1,2))]. 14489 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6529(a,2),14488(a,1,1))]. 14490 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(285,a,14137,a(flip),b,14483,a),flip(a)]. 14491 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(14482(a,1),14490(a,1,1)),flip(a)]. 14492 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6547(a,1),14489(a,1,2))]. 14493 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14440(a,1),14492(a,1,2,2))]. 14494 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8829,a,14493,a)]. 14495 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(66,a,9832,a,b,14494,a)]. 14496 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3186(a,1),14495(a,1,1))]. 14497 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(14481,a,14496,a)]. 14498 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(285,a,14476,a(flip),b,14472,a),flip(a)]. 14499 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(14471,a,14498,a)]. 14500 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5360(a,1),14499(a,1,2))]. 14501 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7991(a,1),14500(a,1,1,1)),flip(a)]. 14502 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(225,a,14501,a),flip(a)]. 14503 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(285,a,14474,a(flip),b,14502,a)]. 14504 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(168(a,1),14503(a,2,1,2))]. 14505 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(66,a,4413,a,b,14504,a)]. 14506 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(17(a,1),14504(a,1,1))]. 14507 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(66,a,9676,a(flip),b,14506,a)]. 14508 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(66,a,13824,a(flip),b,14507,a)]. 14509 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5323(a,1),14508(a,2,1))]. 14510 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(285,a,14126,a(flip),b,14509,a),flip(a)]. 14511 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(66,a,9232,a(flip),b,14510,a)]. 14512 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(66,a,6675,a(flip),b,14510,a)]. 14513 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(14504(a,1),14505(a,1,1))]. 14514 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14491,a,b,14513,a)]. 14515 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14142,a(flip),b,14514,a)]. 14516 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(14154(a,1),14511(a,1,1))]. 14517 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(14(a,1),14516(a,1,2))]. 14518 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5223,a,14517,a),flip(a)]. 14520 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5075(a,1),14512(a,1,1))]. 14521 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(14(a,1),14520(a,1,2,2))]. 14523 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14393(a,1),14521(a,1,2))]. 14524 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(66,a,5738,a(flip),b,14523,a)]. 14525 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(14518(a,2),14524(a,1,1))]. 14526 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(13540,a,14525,a)]. 14527 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) * K(x * (L(z,u,w) \ y),y \ L(z,u,w))) / y,z). [para(6420(a,1),12467(a,2,1,1))]. 14528 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) / y) * K(x * (L(z,u,w) \ y),L(z,u,w) / y),z). [para(6422(a,1),14527(a,2,1))]. 14529 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x * (L(z,u,w) \ y))). [hyper(285,a,8027,a(flip),b,14528,a),flip(a)]. 14530 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x)). [hyper(285,a,11565,a(flip),b,14529,a),flip(a)]. 14531 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(y \ L(z,u,w),T(z,x)). [hyper(285,a,7745,a(flip),b,14530,a),flip(a)]. 14532 K(K(x * (y / L(z,u,w)),(y / L(z,u,w)) \ 1) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5696(a,2),14531(a,1,1))]. 14533 K(K(x * (y / L(z,u,w)),L(z,u,w) / y) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5708(a,1),14532(a,1,1,1))]. 14534 K(K(x * (L(y,z,u) \ w),L(y,z,u) / w) / (w / L(y,z,u)),y) = K(w \ L(y,z,u),T(y,x)). [para(12459(a,1),14533(a,1,1,1))]. 14535 K((x / K(y * (L(z,u,w) \ x),L(z,u,w) / x)) \ L(z,u,w),z) = K(x \ L(z,u,w),T(z,y)). [hyper(66,a,13455,a(flip),b,14534,a)]. 14536 K((x * K(L(y,z,u) / x,w * (L(y,z,u) \ x))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(7396(a,1),14535(a,1,1,1))]. 14537 K((x * K(x \ L(y,z,u),x / (L(y,z,u) / w))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(14330(a,1),14536(a,1,1,1,2))]. 14538 K((x \ L(y,z,u)) * K(x / (L(y,z,u) / w),x \ L(y,z,u)),y) = K(x \ L(y,z,u),T(y,w)). [para(6453(a,1),14537(a,1,1))]. 14539 K((x \ L(y,z,u)) * K((L(y,z,u) / w) \ x,L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(7744(a,1),14538(a,1,1,2))]. 14540 K((x \ L(y,z,u)) * K(w * (L(y,z,u) \ x),L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(14342(a,1),14539(a,1,1,2))]. 14541 K(x \ L(y,z,u),T(y,T(w * (L(y,z,u) \ x),x))) = K(x \ L(y,z,u),T(y,w)). [hyper(11011,a,14540,a)]. 14542 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,14347,a(flip),b,14541,a)]. 14543 K(x \ L(y,z,u),T(y,w * x)) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,10521,a(flip),b,14542,a)]. 14544 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,12701,a,b,14543,a)]. 14545 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * L(T(z,x * y),u,w)) = K(y \ L(z,u,w),T(z,x)). [para(15(a,1),14544(a,1,2,2))]. 14546 K((x * L(T(y,x * z),u,w)) / (x * z),y) = K(z \ L(y,u,w),T(y,x)). [hyper(10994,a,14545,a)]. 14548 K(((x * y) / x) \ L(z,u,w),z) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,13458,a(flip),b,14546,a)]. 14549 K(L(x,y,z) * (u \ K(u,w)),x) = K(u \ L(x,y,z),T(x,w)). [hyper(66,a,13446,a(flip),b,14548,a)]. 14550 K(x \ L(y,z,u),T(y,w)) = K(y * (x \ K(x,w)),y). [hyper(66,a,13953,a(flip),b,14549,a),flip(a)]. 14552 K(x \ L(y,z,u),T(y,w)) = K(x \ y,T(y,w)). [hyper(285,a,12110,a(flip),b,14550,a),flip(a)]. 14553 K((x / y) \ z,T(z,y)) = K(x \ (L(z,u,w) * y),z). [hyper(13465,a,14552,a),flip(a)]. 14555 K(x \ (L(y,z,u) * w),y) = K(y * (x \ w),y). [hyper(66,a,13793,a(flip),b,14553,a),flip(a)]. 14556 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [hyper(11095,a,14555,a)]. 14558 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(66,a,9347,a(flip),b,14556,a)]. 14559 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(285,a,13800,a(flip),b,14558,a),flip(a)]. 14560 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(66,a,13854,a(flip),b,14559,a)]. 14561 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(23(a,2),14560(a,2,1))]. 14562 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(13963,a,14561,a),flip(a)]. 14563 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(66,a,8727,a(flip),b,14562,a)]. 14564 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(7671,a,14563,a),flip(a)]. 14565 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(285,a,13730,a(flip),b,14563,a),flip(a)]. 14566 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(14563(a,1),13050(a,1,2,2))]. 14567 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(14563(a,1),13895(a,1,2,1,2,1))]. 14568 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(16(a,1),14565(a,1,1,2)),flip(a)]. 14569 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(13835,a,14568,a)]. 14570 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(285,a,9097,a(flip),b,14569,a),flip(a)]. 14573 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11406(a,1),14566(a,1,2))]. 14574 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(5576,a,14573,a)]. 14575 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(452(a,1),14564(a,1,2)),flip(a)]. 14576 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(14575(a,1),2732(a,1,2,2,2)),flip(a)]. 14577 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5152(a,1),14567(a,1,2,1))]. 14578 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(66,a,9335,a(flip),b,14577,a),flip(a)]. 14579 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(66,a,14563,a(flip),b,14578,a),flip(a)]. 14580 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(14578(a,1),11108(a,1,2))]. 14582 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(122,a,14579,a(flip),b,14450,a)]. 14583 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(452(a,1),14579(a,1,1)),flip(a)]. 14584 K(x,y) * (x \ K(z,L(x,u,w))) = T(x,L(z,u,w)) \ K(x,y). [para(14579(a,1),5848(a,1,2,2))]. 14585 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(11133,a,14580,a)]. 14586 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(14585(a,1),11159(a,2,2))]. 14587 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14582(a,1),9638(a,1,2,1))]. 14588 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(452(a,1),14583(a,1,2))]. 14589 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8035(a,1),14587(a,1,2,1,1))]. 14590 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(15(a,1),14588(a,1,2)),flip(a)]. 14591 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(66,a,7194,a(flip),b,14589,a)]. 14592 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(15(a,1),14590(a,1,1)),flip(a)]. 14593 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1283(a,1),14591(a,1,2,1,1))]. 14594 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(285,a,7181,a,b,14592,a),flip(a)]. 14595 T(x,y) / T(x / T(y,x),L(y,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(4120(a,1),14586(a,1,2,1))]. 14596 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(124,a,14593,a(flip),b,10505,a(flip)),flip(a)]. 14597 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = (K(x,y) \ 1) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(14584(a,1),11292(a,1,2,2)),flip(a)]. 14598 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(66,a,6691,a(flip),b,14594,a),flip(a)]. 14599 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(90(a,1),14598(a,1,2,1)),flip(a)]. 14600 T(x,y) / (y \ T(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(14098(a,1),14595(a,1,2))]. 14601 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(7147(a,1),14576(a,2,2,2,2))]. 14602 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2515(a,1),14601(a,2,2))]. 14603 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(90(a,1),14602(a,1,2,2,2,2,1,1,2))]. 14604 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(7662(a,1),14603(a,1,2,2,2)),flip(a)]. 14605 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2515(a,1),14604(a,2,2))]. 14606 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(15(a,1),14605(a,1,2,2)),flip(a)]. 14607 K(x,y \ ((y \ 1) \ z)) = y \ ((1 / y) \ K(x,z)). [hyper(128,a,14606,a),flip(a)]. 14608 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(14606(a,1),7399(a,1,1)),flip(a)]. 14609 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(66,a,14599,a(flip),b,14608,a)]. 14610 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14597(a,2,1))]. 14611 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (K(y,x) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14610(a,2,2,1))]. 14612 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (T(x,L(z,u,w)) \ 1). [para(10258(a,1),14611(a,2,2))]. 14613 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) * T(x,L(z,u,w)). [hyper(285,a,4398,a(flip),b,14612,a),flip(a)]. 14615 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(y,x) \ 1) = K(x,y) * T(y,L(z,u,w)). [para(5344(a,1),14613(a,1,1))]. 14616 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(x,y)) = K(x,y) * T(y,L(z,u,w)). [para(5320(a,1),14615(a,1,2,3))]. 14617 K(x,y) / (y \ K(z,L(y,u,w))) = K(x,y) * T(y,L(z,u,w)). [para(5333(a,1),14616(a,1,2))]. 14620 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (a(z,u,z) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(13505(a,1),12797(a,2,1,1))]. 14621 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (K(z,u) * y) \ (K(z,u) * (y * x)). [para(12856(a,1),14620(a,2,1))]. 14624 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = L(x,y,K(z,u)). [hyper(285,a,23,a,b,14621,a),flip(a)]. 14625 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(13505(a,1),14624(a,1,3))]. 14626 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(15(a,1),14625(a,1,1,3,2))]. 14629 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [hyper(14056,a,14626,a),flip(a)]. 14631 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5339(a,1),14629(a,1,3)),flip(a)]. 14632 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(285,a,14165,a(flip),b,14631,a),flip(a)]. 14633 L(x,y \ 1,K(y,z)) = x. [hyper(13167,a,14632,a),flip(a)]. 14634 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(14633(a,1),5632(a,1,2)),flip(a)]. 14635 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = (x \ K(x,y)) * z. [hyper(66,a,6146,a,b,14634,a)]. 14636 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ K(x \ y,y \ x)) * y,z). [para(14635(a,1),12354(a,1,1)),flip(a)]. 14637 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(285,a,6733,a(flip),b,14636,a),flip(a)]. 14639 K(x,(T((x \ y) \ 1,x \ y) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7187,a(flip),b,14637,a)]. 14640 K(x,(((x \ y) \ 1) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7178,a(flip),b,14639,a)]. 14641 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = K(((x \ y) \ 1) * y,z). [hyper(66,a,11838,a(flip),b,14640,a)]. 14643 ((L(x,y \ 1,y) / y) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4722(a,1),6178(a,1,1,1))]. 14644 ((L(x,y \ 1,y) / y) \ (x * K(y,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(3341(a,1),14643(a,1,1,2,2))]. 14645 ((L(x,y \ 1,y) / y) \ (x * K(y,y \ x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4664(a,1),14644(a,1,1,2,2))]. 14646 ((L(x,y \ 1,y) / y) \ (y * (x / y))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5435(a,1),14645(a,1,1,2))]. 14647 (L(x,y \ 1,y) / y) \ (y * (x / y)) = ((y \ 1) * x) \ x. [hyper(38,a,11381,a,b,14646,a),flip(a)]. 14649 (x * (y / x)) / (((x \ 1) * y) \ y) = L(y,x \ 1,x) / x. [hyper(185,a,14647,a)]. 14651 L(x,y \ 1,y) / y = x / R(y,y \ 1,x). [hyper(66,a,7601,a(flip),b,14649,a),flip(a)]. 14652 (x / R(y,y \ 1,x)) * y = L(x,y \ 1,y). [hyper(136,a,14651,a)]. 14653 L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x). [para(14652(a,1),1617(a,1,1))]. 14654 x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x). [hyper(66,a,1245,a(flip),b,14653,a)]. 14655 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (L(x,y \ 1,y) \ y)). [para(14654(a,1),10860(a,1,2,1,1))]. 14656 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ L(x,y \ 1,y)). [hyper(285,a,13468,a(flip),b,14655,a),flip(a)]. 14657 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ x). [hyper(285,a,11835,a(flip),b,14656,a),flip(a)]. 14659 K(x,y / (((z \ 1) * x) \ 1)) = K(x,(z / y) \ x). [hyper(66,a,12730,a(flip),b,14657,a)]. 14660 K(x,y / ((z * x) \ 1)) = K(x,((z \ 1) / y) \ x). [hyper(66,a,7201,a(flip),b,14659,a)]. 14661 R(K(x,((y \ 1) / (z / u)) \ x),z / u,u) = K(x,z / (((y * x) \ 1) * u)). [para(14660(a,1),6101(a,1,1))]. 14662 K(x,y / (((z * x) \ 1) * u)) = K(x,y / ((x \ (z \ 1)) * u)). [hyper(66,a,10861,a(flip),b,14661,a),flip(a)]. 14663 K(x,K(x,x \ y) / ((x \ ((x \ y) \ 1)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,13996,a(flip),b,14662,a),flip(a)]. 14664 K(x,((x \ ((x \ y) \ 1)) * (z \ y)) \ 1) = (1 / y) * (K(x,z) * y). [hyper(66,a,8157,a(flip),b,14663,a)]. 14666 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = (1 / y) * (K(x,z) * y). [hyper(66,a,13260,a(flip),b,14664,a)]. 14667 K(((x \ y) \ 1) * y,z) = (1 / y) * (K(x,z) * y). [hyper(66,a,14641,a(flip),b,14666,a)]. 14668 K(((x \ (y * x)) \ 1) * (y * x),z) = K((((x * y) \ 1) * y) \ 1,z). [hyper(285,a,13858,a(flip),b,14667,a),flip(a)]. 14669 K((((x * y) \ 1) * y) \ 1,z) = K((y \ 1) * (x * y),z). [para(6993(a,1),14668(a,1,1)),flip(a)]. 14670 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * ((y \ x) * y),z). [hyper(66,a,13868,a(flip),b,14669,a)]. 14671 K(((x \ 1) * y) \ 1,T(z,y)) = K(T((y \ 1) * x,y),z). [para(2179(a,1),14670(a,2,1))]. 14672 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * x,T(z,y)). [hyper(285,a,7761,a(flip),b,14671,a),flip(a)]. 14673 K((x \ 1) * y,T(T(z,y),x)) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,10450,a(flip),b,14672,a),flip(a)]. 14674 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(10965,a,14673,a),flip(a)]. 14676 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(66,a,6707,a(flip),b,14674,a),flip(a)]. 14677 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(14674(a,1),6907(a,2,1))]. 14678 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(66,a,6689,a(flip),b,14676,a),flip(a)]. 14679 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(14678(a,1),6971(a,1,1))]. 14680 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(15(a,1),14677(a,2,1,1))]. 14681 (1 / (x \ K(y,z))) \ y = x \ T(y,z). [hyper(39,a,172,a,b,14680,a),flip(a)]. 14682 K(x,y) / (z \ K(x,u)) = T(x,y) / (z \ T(x,u)). [para(14681(a,1),14680(a,1,2)),flip(a)]. 14683 K(x,y) / (y \ K(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [hyper(285,a,14600,a(flip),b,14682,a),flip(a)]. 14684 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6709(a,1),14679(a,1,1))]. 14685 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(180,a,14684,a)]. 14687 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(90(a,1),14685(a,1,1,2))]. 14688 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14687(a,2),7522(a,2,1))]. 14689 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(16(a,1),14688(a,1,2,1,1)),flip(a)]. 14690 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(66,a,14609,a,b,14689,a)]. 14691 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [hyper(124,a,14690,a(flip),b,14607,a(flip)),flip(a)]. 14692 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(17(a,1),14691(a,1,2,2)),flip(a)]. 14693 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(66,a,14596,a,b,14692,a)]. 14694 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(87(a,1),14693(a,1,1)),flip(a)]. 14696 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14694(a,2),7801(a,2,2)),flip(a)]. 14697 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [hyper(66,a,14617,a(flip),b,14683,a)]. 14698 x * a(y,z,K(x \ T(u,x),x)) = x * a(y,z,K(u,x)). [hyper(66,a,14574,a(flip),b,14697,a),flip(a)]. 14699 x * a(y,z,K(x \ u,x)) = x * a(y,z,K(u,x)). [para(4558(a,1),14698(a,1,2,3))]. 14700 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(259,a,14699,a),flip(a)]. 14702 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(14(a,1),14700(a,1,3,1)),flip(a)]. 14703 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6484(a,1),14700(a,1,3))]. 14704 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(13616(a,2),14700(a,1,3))]. 14705 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(14702(a,2),11359(a,1,1))]. 14706 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11360,a,14705,a)]. 14707 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(66,a,14703,a,b,14706,a)]. 14708 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(14570(a,1),14706(a,1,3)),flip(a)]. 14709 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(66,a,14707,a(flip),b,14708,a),flip(a)]. 14710 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(285,a,7801,a(flip),b,14696,a),flip(a)]. 14711 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(30(a,2),14710(a,1,2,1,2,2))]. 14712 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(30(a,2),14711(a,1,2,1,2,2,1))]. 14713 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(66,a,10359,a(flip),b,14712,a)]. 14715 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(90(a,1),14713(a,1,2))]. 14716 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(66,a,11681,a,b,14715,a)]. 14719 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(66,a,11492,a(flip),b,14716,a),flip(a)]. 14721 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14719(a,1),10729(a,1,1))]. 14722 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11830(a,1),14721(a,1,1))]. 14724 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(78(a,1),14722(a,1,1,2))]. 14725 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5514(a,1),14724(a,1,2))]. 14726 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(12134,a,14725,a)]. 14727 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2229(a,1),14726(a,1,2))]. 14728 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(11873(a,1),14727(a,1,2))]. 14729 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(128,a,14728,a)]. 14730 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14729(a,1),14077(a,1,1)),flip(a)]. 14731 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(121,a,14730,a,b,12372,a(flip))]. 14733 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [hyper(124,a,14731,a(flip),b,12777,a)]. 14734 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(285,a,13936,a(flip),b,14733,a),flip(a)]. 14735 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(13945(a,1),14734(a,1,2))]. 14736 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14735(a,1),441(a,1,2,2))]. 14738 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(103(a,1),14736(a,1,2))]. 14739 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12844,a,14738,a),flip(a)]. 14740 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13572,a,14739,a),flip(a)]. 14742 L(a(x,y,x),z,u) = a(x,y,x). [para(17(a,1),14740(a,1,2))]. 14751 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(66,a,14408,a(flip),b,14742,a),flip(a)]. 14752 a(x,L(y,z,u),x) = a(x,y,x). [hyper(66,a,14216,a(flip),b,14742,a)]. 14757 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(124,a,14752,a(flip),b,12777,a),flip(a)]. 14758 R(x,L(y,z,u),x) = R(x,y,x). [hyper(285,a,12778,a(flip),b,14757,a),flip(a)]. 14759 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),12180(a,1,2,1))]. 14761 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14751(a,1),12814(a,1,1)),flip(a)]. 14762 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(285,a,12814,a(flip),b,14761,a),flip(a)]. 14763 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),14759(a,1,2,2,1))]. 14765 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4182(a,2),14763(a,1,2))]. 14767 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4250(a,1),14765(a,1,2,2))]. 14768 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13726(a,1),14767(a,1,2))]. 14769 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(726(a,1),14768(a,1,2)),flip(a)]. 14770 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(66,a,9803,a(flip),b,14769,a)]. 14771 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(122,a,14770,a(flip),b,5130,a(flip))]. 14772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(66,a,11854,a(flip),b,14771,a),flip(a)]. 14773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(285,a,14580,a(flip),b,14772,a),flip(a)]. 14774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(17(a,1),14773(a,1,1))]. 14775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(66,a,10872,a(flip),b,14774,a)]. 14776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(13959(a,1),14775(a,2,3))]. 14777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(285,a,14700,a(flip),b,14776,a),flip(a)]. 14779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(66,a,13780,a(flip),b,14777,a)]. 14780 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(14777(a,1),14709(a,1,3)),flip(a)]. 14781 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(66,a,6675,a(flip),b,14779,a)]. 14782 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(14709(a,1),14780(a,2,3))]. 14783 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10691(a,1),14782(a,1,3))]. 14784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(66,a,14704,a(flip),b,14783,a)]. 14785 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14784(a,1),11127(a,1,2))]. 14786 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11702(a,1),14785(a,1,2)),flip(a)]. 14787 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(285,a,13,a(flip),b,14786,a),flip(a)]. 14789 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14787(a,1),9935(a,1,2,2)),flip(a)]. 14790 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(285,a,9935,a(flip),b,14789,a),flip(a)]. 14791 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(124,a,14790,a(flip),b,5125,a(flip)),flip(a)]. 14794 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(285,a,5130,a,b,14791,a),flip(a)]. 14795 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5075(a,1),14781(a,1,1))]. 14796 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(14(a,1),14795(a,1,2,2))]. 14798 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14762(a,1),14796(a,1,2))]. 14799 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(66,a,5738,a(flip),b,14798,a)]. 14800 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(66,a,9220,a(flip),b,14799,a)]. 14801 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14794(a,1),14800(a,1,2,1))]. 14802 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5476,a,14801,a)]. 14803 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),9941(a,1,2,1,2,2,2))]. 14804 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14803(a,1,2,1,2,2))]. 14805 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14804(a,1,2,1))]. 14806 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10424(a,1),14805(a,1,2,1,2))]. 14807 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7814(a,1),14806(a,1,2,1,2))]. 14809 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10126(a,1),14807(a,1,2,1))]. 14810 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),14809(a,1,2,2,1,2,1,2,2))]. 14811 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14810(a,1,2,2,1,2,1,2))]. 14812 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7860(a,1),14811(a,1,2,2,1,2))]. 14813 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9949(a,1),14812(a,1,2,2,1,2,2))]. 14814 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7789(a,1),14813(a,1,2,2,1,2,2))]. 14816 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(x,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10114(a,1),14814(a,1,2,2,1,2))]. 14817 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14816(a,1,2,2,1,2))]. 14818 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5414(a,2),14817(a,1,2,2,1))]. 14819 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(12518(a,2),14818(a,1,2))]. 14820 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,12519,a(flip),b,14819,a)]. 14821 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14820(a,1,2)),flip(a)]. 14822 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14821,a),flip(a)]. 14823 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1080(a,1),14822(a,1,1)),flip(a)]. 14824 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(66,a,14004,a,b,14823,a)]. 14825 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1080(a,1),14824(a,1,1))]. 14826 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14825(a,1),10667(a,1,2))]. 14827 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13330,a,14826,a),flip(a)]. 14828 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(285,a,7884,a,b,14827,a),flip(a)]. 14830 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(66,a,13486,a(flip),b,14828,a)]. 14831 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(285,a,7881,a,b,14830,a),flip(a)]. 14833 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(66,a,13487,a,b,14831,a)]. 14834 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(66,a,13898,a,b,14833,a)]. 14836 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(285,a,11571,a(flip),b,14834,a),flip(a)]. 14837 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(13318,a,14836,a)]. 14838 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14836(a,1),13318(a,1))]. 14839 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,7878,a,b,14837,a)]. 14840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(66,a,12269,a,b,14839,a)]. 14841 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(13375,a,14840,a)]. 14842 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * R(K(y,z),u,w)) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(27(a,2),11174(a,1,1)),flip(a)]. 14843 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(14440(a,1),14842(a,2,1,2,2))]. 14844 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ v5. [para(11042(a,1),14843(a,2,2))]. 14845 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [hyper(285,a,5119,a,b,14844,a),flip(a)]. 14846 K(K(x,y) * R(K(y,z),u,w),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(10947(a,1),14845(a,1,1,2))]. 14848 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(11042(a,1),14846(a,1,2))]. 14849 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(14460(a,1),14848(a,1,1)),flip(a)]. 14851 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(66,a,12009,a(flip),b,14849,a)]. 14852 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(14851(a,1),12044(a,1,1,1))]. 14853 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(2257(a,1),14852(a,1,1)),flip(a)]. 14854 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(285,a,8817,a(flip),b,14853,a),flip(a)]. 14855 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7860(a,1),14854(a,1,2,1,1))]. 14856 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(10155(a,1),14855(a,1,2,1))]. 14857 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5190(a,2),14856(a,1,2))]. 14858 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(66,a,12254,a,b,14857,a)]. 14859 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7889(a,1),14858(a,1,1))]. 14860 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(66,a,11953,a(flip),b,14859,a)]. 14861 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(66,a,14468,a(flip),b,14860,a),flip(a)]. 14862 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(37,a,5130,a(flip),b,14861,a),flip(a)]. 14863 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(66,a,14851,a,b,14862,a)]. 14864 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(14863(a,1),14485(a,1,2))]. 14865 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(125,a,14864,a),flip(a)]. 14866 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(285,a,14862,a,b,14865,a),flip(a)]. 14867 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7881(a,1),14865(a,1,1))]. 14868 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7881(a,1),14866(a,1,1))]. 14869 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14497(a,2),14866(a,2,1)),flip(a)]. 14870 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(14518(a,1),14867(a,2,2))]. 14871 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(66,a,14868,a,b,14869,a)]. 14872 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(66,a,14871,a(flip),b,14870,a),flip(a)]. 14873 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(66,a,10261,a,b,14872,a)]. 14874 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7884(a,2),14873(a,2,1))]. 14875 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(13364,a,14874,a)]. 14876 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(66,a,10277,a(flip),b,14875,a)]. 14877 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7908(a,1),14876(a,2,1))]. 14879 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10156(a,1),14877(a,2,1))]. 14880 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(13329,a,14879,a)]. 14883 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(66,a,13286,a(flip),b,14880,a)]. 14885 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,14841,a(flip),b,14883,a),flip(a)]. 14886 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(11539(a,1),14885(a,1,1)),flip(a)]. 14887 K(x,K(y * z,a(y,z,u))) = 1. [hyper(285,a,13359,a(flip),b,14886,a),flip(a)]. 14888 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14838,a,14887,a)]. 14891 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14888(a,1),7948(a,1,1)),flip(a)]. 14892 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(285,a,12,a(flip),b,14891,a),flip(a)]. 14893 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14892(a,1),7978(a,1,1)),flip(a)]. 14894 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7726,a,14893,a)]. 14895 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(10978,a,14894,a)]. 14896 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(66,a,13102,a,b,14895,a)]. 14897 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(14518(a,2),14896(a,1,1))]. 14898 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14491,a,b,14897,a)]. 14899 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14515,a(flip),b,14898,a)]. 14901 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14899(a,1),14526(a,1,2))]. 14902 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(66,a,13541,a(flip),b,14901,a)]. 14903 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5476,a,14902,a)]. 14905 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(285,a,14497,a(flip),b,14903,a),flip(a)]. 14908 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(66,a,14802,a(flip),b,14905,a),flip(a)]. 14909 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14908(a,1),14479(a,1,1,2))]. 14911 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(11727,a,14909,a),flip(a)]. 14915 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(66,a,14908,a(flip),b,14911,a),flip(a)]. 14917 $F # answer("aK3 (3241)"). [resolve(14915,a,71,a(flip))]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 5 at 2022.82 (+ 97.16) seconds: "Ka (4213)". % Length of proof is 12385. % Level of proof is 674. % Maximum clause weight is 513.000 (73 w/o degradation). % Given clauses 13410 (19.896 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 11 K(a(x,y,z),u) = K(a(u,y,x),z) # label("Ka (4213)") # label(non_clause) # label(goal). [goal]. 12 1 * x = x. [assumption]. 13 x * 1 = x. [assumption]. 14 x \ (x * y) = y. [assumption]. 15 x * (x \ y) = y. [assumption]. 16 (x * y) / y = x. [assumption]. 17 (x / y) * y = x. [assumption]. 18 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 19 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(18),flip(a)]. 20 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 21 K(x,y) = (y * x) \ (x * y). [copy(20),flip(a)]. 22 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 23 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(22),flip(a)]. 24 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 25 R(x,y,z) = ((x * y) * z) / (y * z). [copy(24),flip(a)]. 26 x \ (y * x) = T(y,x). [assumption]. 27 T(x,y) = y \ (x * y). [copy(26),flip(a)]. 28 T(T(x,y),z) = T(T(x,z),y). [assumption]. 29 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 30 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(29),flip(a)]. 31 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 32 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(31),flip(a)]. 33 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 34 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(33),flip(a)]. 35 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 36 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 37 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 38 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 39 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 40 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 41 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 42 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 43 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 44 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 45 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 46 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 47 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 48 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 49 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 50 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 51 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 52 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 53 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 54 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 55 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 56 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 57 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 58 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 59 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 60 x != y | x * z = y * z # label("Aux 1"). [assumption]. 61 x != y | z * x = z * y # label("Aux 2"). [assumption]. 62 x != y | x / z = y / z # label("Aux 3"). [assumption]. 63 x != y | z / x = z / y # label("Aux 4"). [assumption]. 64 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 65 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 66 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 76 K(a(c24,c22,c21),c23) != K(a(c21,c22,c23),c24) # label("Ka (4213)") # answer("Ka (4213)"). [deny(11)]. 77 K(a(c21,c22,c23),c24) != K(a(c24,c22,c21),c23) # answer("Ka (4213)"). [copy(76),flip(a)]. 78 1 \ x = x. [para(12(a,1),14(a,1,2))]. 79 x \ x = 1. [para(13(a,1),14(a,1,2))]. 80 x \ (x * (y \ (y * z))) = z. [para(14(a,2),14(a,1))]. 81 (x * (x \ 1)) * y = y. [para(15(a,2),12(a,1,1))]. 82 x * (y * (y \ 1)) = x. [para(15(a,2),13(a,1,2))]. 83 x \ (y * (y \ (x * z))) = z. [para(15(a,2),14(a,1,2))]. 84 x * (y * (y \ (x \ z))) = z. [para(15(a,2),15(a,1,2))]. 85 x / x = 1. [para(12(a,1),16(a,1,1))]. 86 x / 1 = x. [para(13(a,1),16(a,1,1))]. 87 x / (y \ x) = y. [para(15(a,1),16(a,1,1))]. 88 ((1 / x) * x) * y = y. [para(17(a,2),12(a,1,1))]. 89 x * ((1 / y) * y) = x. [para(17(a,2),13(a,1,2))]. 90 (x / y) \ x = y. [para(17(a,1),14(a,1,2))]. 91 (x \ (x * (y / z))) * z = y. [para(14(a,2),17(a,1,1))]. 92 ((x * (x \ y)) / z) * z = y. [para(17(a,2),15(a,1))]. 93 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(19(a,2),15(a,1,2))]. 94 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(15(a,1),19(a,2,2,1)),flip(a)]. 95 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(17(a,1),19(a,2,2,1)),flip(a)]. 96 (x * y) * K(y,x) = y * x. [para(21(a,2),15(a,1,2))]. 97 x \ ((y \ x) * y) = K(y \ x,y). [para(15(a,1),21(a,2,1)),flip(a)]. 98 ((x \ y) * x) \ y = K(x,x \ y). [para(15(a,1),21(a,2,2)),flip(a)]. 99 x \ (y * (x / y)) = K(y,x / y). [para(17(a,1),21(a,2,1)),flip(a)]. 100 (x * (y / x)) \ y = K(y / x,x). [para(17(a,1),21(a,2,2)),flip(a)]. 101 x \ (1 * (x * y)) = L(y,x,1). [para(12(a,1),23(a,2,1)),flip(a)]. 102 (x * y) \ (x * y) = L(1,y,x). [para(13(a,1),23(a,2,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(23(a,2),15(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(15(a,1),23(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(15(a,1),23(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(17(a,1),23(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(17(a,1),23(a,2,2,2))]. 108 (x * y) / (x * y) = R(1,x,y). [para(12(a,1),25(a,2,1,1)),flip(a)]. 109 ((x * 1) * y) / y = R(x,1,y). [para(12(a,1),25(a,2,2)),flip(a)]. 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(15(a,1),25(a,2,1,1))]. 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(15(a,1),25(a,2,1))]. 112 R(x,y,z) * (y * z) = (x * y) * z. [para(25(a,2),17(a,1,1))]. 113 R(x / y,y,z) = (x * z) / (y * z). [para(17(a,1),25(a,2,1,1))]. 114 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(17(a,1),25(a,2,2)),flip(a)]. 115 T(x,x) = x. [para(27(a,2),14(a,1))]. 116 x * T(y,x) = y * x. [para(27(a,2),15(a,1,2))]. 117 T(x,x \ y) = (x \ y) \ y. [para(15(a,1),27(a,2,2))]. 118 T(x / y,y) = y \ x. [para(17(a,1),27(a,2,2))]. 119 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(32(a,2),28(a,1,1)),flip(a)]. 120 x != y | 1 * z != y | x = z. [para(12(a,1),37(a,1))]. 121 1 * x != y | z != y | x = z. [para(12(a,1),37(b,1))]. 122 x != y | z * u != y | z \ x = u. [para(15(a,1),37(a,1))]. 123 x != y | z * u != y | x / u = z. [para(17(a,1),38(a,1))]. 124 x != y | z \ u != y | z * x = u. [para(14(a,1),41(a,1))]. 125 1 * x != y | x = y. [para(12(a,1),46(a,2))]. 126 x * y != x | 1 = y. [para(13(a,1),46(a,1)),flip(a)]. 128 x * y != z | x \ z = y. [para(15(a,1),46(a,1)),flip(a)]. 129 x * (x \ (y * z)) != y * u | z = u. [para(15(a,2),46(a,1))]. 130 (x / y) * z != x | y = z. [para(17(a,1),46(a,1)),flip(a)]. 132 x * 1 != y | y = x. [para(13(a,1),47(a,1)),flip(a)]. 133 x * 1 != y | x = y. [para(13(a,1),47(a,2))]. 134 x * (y \ z) != z | x = y. [para(15(a,1),47(a,2))]. 135 x * y != z | z / y = x. [para(17(a,1),47(a,1)),flip(a)]. 136 x / y != z | z * y = x. [para(16(a,1),49(a,1)),flip(a)]. 138 x \ y != z | x * z = y. [para(14(a,1),50(a,1)),flip(a)]. 140 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(23(a,2),51(a,1)),flip(a)]. 142 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(28(a,1),52(a,1))]. 143 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(30(a,2),52(a,1)),flip(a)]. 144 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(32(a,2),52(a,1)),flip(a)]. 146 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(34(a,2),53(a,1))]. 147 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(35(a,1),53(a,1))]. 148 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(32(a,1),54(a,1))]. 149 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(34(a,1),54(a,1)),flip(a)]. 150 ((x / y) * y) * z = x * z. [hyper(60,a,17,a)]. 151 (x * (x \ y)) * z = y * z. [hyper(60,a,15,a)]. 152 x * (y * (y \ z)) = x * z. [hyper(61,a,15,a)]. 153 ((x / y) * y) / z = x / z. [hyper(62,a,17,a)]. 154 (x * (x \ y)) \ z = y \ z. [hyper(64,a,15,a)]. 155 (x * y) / y = (x / z) * z. [hyper(66,a,17,a,b,16,a(flip)),flip(a)]. 156 (x / y) * y = z * (z \ x). [hyper(66,a,17,a,b,15,a(flip))]. 157 (x / y) * y = x * 1. [hyper(66,a,17,a,b,13,a(flip))]. 158 x \ (x * y) = z * (z \ y). [hyper(66,a,15,a,b,14,a(flip)),flip(a)]. 159 x * (x \ y) = y * 1. [hyper(66,a,15,a,b,13,a(flip))]. 160 1 \ (x * 1) = x. [hyper(66,a,78,a,b,13,a)]. 161 (x * (x \ 1)) \ y = y. [para(15(a,2),78(a,1,1))]. 162 ((1 / x) * x) \ y = y. [para(17(a,2),78(a,1,1))]. 163 1 \ x != y | y = x. [para(78(a,1),50(a,1)),flip(a)]. 165 K(x,x) = 1. [hyper(66,a,21,a,b,79,a)]. 166 x / ((1 / y) * y) = x. [para(17(a,2),86(a,1,2))]. 167 x / 1 != y | y = x. [para(86(a,1),49(a,1)),flip(a)]. 168 T(x,R(x,y,z)) = x. [hyper(45,a,32,a,b,115,a(flip))]. 169 T(x,L(x,y,z)) = x. [hyper(44,a,30,a,b,115,a(flip))]. 170 T(x,T(x,y)) = x. [hyper(43,a,28,a,b,115,a(flip))]. 171 T(T(x,y),x) = T(x,y). [para(115(a,1),28(a,1,1)),flip(a)]. 172 x / (y \ x) = z / (y \ z). [hyper(66,a,87,a,b,87,a(flip))]. 173 (x * y) / y = z / (x \ z). [hyper(66,a,87,a,b,16,a(flip)),flip(a)]. 174 x / (y \ x) = z * (z \ y). [hyper(66,a,87,a,b,15,a(flip))]. 175 (x / (y \ x)) * z = y * z. [hyper(60,a,87,a)]. 176 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(39,a,25,a(flip),b,87,a),flip(a)]. 177 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(19(a,2),87(a,1,2))]. 178 (x * (y * z)) / L(z,y,x) = x * y. [para(23(a,2),87(a,1,2))]. 179 (x * y) / T(x,y) = y. [para(27(a,2),87(a,1,2))]. 180 x / y != z | z \ x = y. [para(87(a,1),48(a,1)),flip(a)]. 181 x / (y / ((z \ x) \ y)) = z. [para(87(a,2),87(a,1,2))]. 182 ((x / y) \ x) * z = y * z. [hyper(60,a,90,a)]. 183 x * ((y / (x \ z)) \ y) = z. [hyper(41,a,14,a,b,90,a(flip))]. 184 ((x / (y / z)) \ x) \ y = z. [hyper(39,a,87,a,b,90,a(flip))]. 185 x \ y != z | y / z = x. [para(90(a,1),51(a,1)),flip(a)]. 186 T(x,1) = x. [hyper(66,a,27,a,b,160,a)]. 187 K(x,1) = 1. [hyper(58,a,186,a)]. 188 T(1,x) = 1. [hyper(57,a,186,a)]. 189 T(x,y \ y) = x. [para(79(a,2),186(a,1,2))]. 191 T(x,T(T(x,y),z)) = x. [hyper(43,a,28,a,b,170,a(flip))]. 192 T(x,y \ y) != z | x = z. [para(189(a,1),52(a,2))]. 193 ((1 / x) * x) * y != z | y = z. [para(17(a,2),125(a,1,1))]. 194 K(x,1) * y != z | y = z. [para(187(a,2),125(a,1,1))]. 195 x * (y * (y \ 1)) != z | z = x. [para(15(a,2),132(a,1,2))]. 196 x / (y * (y \ 1)) != z | z = x. [para(15(a,2),167(a,1,2))]. 197 T(x,R(T(x,y),z,u)) = x. [hyper(43,a,28,a,b,168,a(flip))]. 198 T(x,L(L(x,y,z),u,w)) = x. [hyper(44,a,30,a,b,169,a(flip))]. 199 T(T(x,y),L(x,z,u)) = T(x,y). [para(169(a,1),28(a,1,1)),flip(a)]. 200 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(81(a,1),25(a,2,1))]. 202 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(82(a,1),19(a,2,1)),flip(a)]. 203 L(x \ 1,x,y) = (y * x) \ y. [para(82(a,1),23(a,2,2))]. 204 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(88(a,1),19(a,2,2)),flip(a)]. 205 R(1 / x,x,y) = y / (x * y). [para(88(a,1),25(a,2,1))]. 206 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(89(a,1),19(a,2,1)),flip(a)]. 207 (x \ y) * T(x,x \ y) = y. [hyper(66,a,116,a,b,15,a)]. 208 T((x * y) / x,x) = y. [hyper(37,a,17,a(flip),b,116,a),flip(a)]. 209 (x * T(y,x)) / x = y. [hyper(38,a,17,a,b,116,a(flip))]. 210 x \ (y * T(x,y)) = y. [hyper(37,a,15,a,b,116,a(flip))]. 211 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(116(a,1),19(a,2,1,2)),flip(a)]. 212 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(116(a,1),19(a,2,2,1)),flip(a)]. 213 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(116(a,1),19(a,2,2)),flip(a)]. 214 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(116(a,1),21(a,2,1)),flip(a)]. 215 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(116(a,1),23(a,2,1)),flip(a)]. 216 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(116(a,1),23(a,2,2,2)),flip(a)]. 217 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(116(a,1),25(a,2,1,1)),flip(a)]. 218 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(116(a,1),25(a,2,1)),flip(a)]. 219 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(116(a,1),25(a,2,2)),flip(a)]. 220 T(x,y) \ (x * y) = T(y,T(x,y)). [para(116(a,1),27(a,2,2)),flip(a)]. 221 x * T(T(y,x),z) = T(y,z) * x. [para(28(a,1),116(a,1,2))]. 222 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(30(a,2),116(a,1,2))]. 223 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(32(a,2),116(a,1,2))]. 224 x * y != z | y * u != z | T(x,y) = u. [para(116(a,1),37(a,1))]. 225 x * y != z * x | T(z,x) = y. [para(116(a,1),46(a,1)),flip(a)]. 226 x * T(y,x) != y * z | z = x. [para(116(a,2),46(a,2)),flip(a)]. 227 x * T(y,x) != z * x | y = z. [para(116(a,2),47(a,1))]. 228 x * T(y,x) != z * x | z = y. [para(116(a,2),47(a,2)),flip(a)]. 229 T(x,y) * x = x * T(x,y). [para(170(a,1),116(a,1,2))]. 230 T(x / (x / y),x / y) = y. [hyper(66,a,118,a,b,90,a)]. 231 T(T(x / y,z),y) = T(y \ x,z). [para(118(a,1),28(a,1,1)),flip(a)]. 232 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(118(a,1),30(a,1,1)),flip(a)]. 233 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(118(a,1),32(a,1,1)),flip(a)]. 235 x * 1 != y * z | x / z = y. [para(157(a,1),47(a,1))]. 236 (x / y) * y != z | z = x. [para(157(a,2),132(a,1))]. 237 (x / y) * y != z | x = z. [para(157(a,2),133(a,1))]. 238 x \ (y * (y \ x)) = 1. [hyper(37,a,15,a,b,159,a(flip))]. 239 x * 1 != y * z | y \ x = z. [para(159(a,1),46(a,1))]. 240 x * (x \ y) != z | z = y. [para(159(a,2),132(a,1))]. 241 x * (x \ y) != z | y = z. [para(159(a,2),133(a,1))]. 242 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(66,a,23,a,b,161,a),flip(a)]. 243 K(x \ 1,x) = (x \ 1) * x. [hyper(66,a,21,a,b,161,a)]. 244 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(66,a,23,a,b,162,a),flip(a)]. 245 K(x,1 / x) = x * (1 / x). [hyper(66,a,21,a,b,162,a)]. 246 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(66,a,19,a,b,162,a),flip(a)]. 247 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(66,a,25,a,b,166,a),flip(a)]. 248 K(T(x,y),x) = 1. [hyper(58,a,171,a)]. 249 x / T(y,y \ x) = y \ x. [para(15(a,1),179(a,1,1))]. 250 (x * y) / z != y | T(x,y) = z. [para(179(a,1),48(a,1)),flip(a)]. 251 (x * y) / T(y,T(x,y)) = T(x,y). [para(116(a,1),179(a,1,1))]. 252 (x * T(T(y,x),z)) / x = T(y,z). [hyper(43,a,28,a,b,208,a),flip(a)]. 253 T(T((x * y) / x,z),x) = T(y,z). [para(208(a,1),28(a,1,1)),flip(a)]. 254 T(x,y) != z | (y * z) / y = x. [para(208(a,1),52(a,1)),flip(a)]. 255 T((x * y) / x,y) = (x * y) / x. [para(208(a,1),170(a,1,2))]. 256 K(x,(y * x) / y) = 1. [para(208(a,1),248(a,1,1))]. 257 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(30(a,2),210(a,1,2,2))]. 258 T(x,(y * x) / y) = x. [hyper(59,a,256,a)]. 259 x * y != x * z | z = y. [para(16(a,1),130(a,1,1))]. 260 x * L(y,z,u) != u * (z * y) | u * z = x. [para(23(a,2),134(a,1,2)),flip(b)]. 262 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(25(a,2),236(a,1,1)),flip(b)]. 263 x * T(y,x) != z | y * x = z. [para(179(a,1),236(a,1,1)),flip(b)]. 264 x * y != z | y * T(x,y) = z. [para(209(a,1),236(a,1,1)),flip(b)]. 265 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(23(a,2),240(a,1,2)),flip(b)]. 267 x \ ((x * y) * L(z,y,x)) = y * z. [para(23(a,2),83(a,1,2,2))]. 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(84(a,1),23(a,2,2))]. 269 ((x * (x \ y)) / z) \ y = z. [hyper(128,a,92,a)]. 271 x * K(y \ x,y) = (y \ x) * y. [para(15(a,1),96(a,1,1))]. 272 x * K(y,x / y) = y * (x / y). [para(17(a,1),96(a,1,1))]. 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(96(a,1),23(a,2,2,2)),flip(a)]. 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(96(a,1),25(a,2,1)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(96(a,1),46(a,1)),flip(a)]. 278 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(65,a,117,a)]. 279 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(63,a,117,a)]. 280 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(61,a,117,a)]. 281 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(60,a,117,a)]. 282 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(117(a,1),28(a,1,1)),flip(a)]. 284 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(117(a,2),117(a,1,2))]. 285 x != y | z != y | x = z. [para(12(a,1),120(b,1))]. 286 ((x / y) * y) * (x \ z) = z. [hyper(285,a,15,a(flip),b,150,a),flip(a)]. 287 x * y != z * y | (z / u) * u = x. [para(150(a,1),47(a,2)),flip(b)]. 288 (x / (y * (y \ z))) * z = x. [hyper(237,a,152,a),flip(a)]. 289 (((x / y) * y) / z) \ x = z. [hyper(39,a,87,a(flip),b,153,a),flip(a)]. 291 x / y != (z / u) * u | z * y = x. [para(155(a,1),49(a,1)),flip(a)]. 293 ((x / y) * y) * z != u | x * z = u. [para(155(a,1),236(a,1,1)),flip(b)]. 294 (x * y) / y != z | z = x. [para(155(a,2),236(a,1))]. 295 (x * y) / y != z | x = z. [para(155(a,2),237(a,1))]. 296 x / x != y | 1 = y. [para(12(a,1),294(a,1,1)),flip(b)]. 297 x / (y \ x) != z | z = y. [para(15(a,1),294(a,1,1))]. 298 (x * T(y,x)) / x != z | z = y. [para(116(a,2),294(a,1,1))]. 299 (x / y) * y != z * u | z \ x = u. [para(156(a,2),46(a,1))]. 300 x * (x \ y) != z * u | y / u = z. [para(156(a,1),47(a,1))]. 302 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),50(a,1)),flip(a)]. 303 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),240(a,1,2)),flip(b)]. 304 x \ (x * y) != z | z = y. [para(158(a,2),240(a,1))]. 305 x \ (x * y) != z | y = z. [para(158(a,2),241(a,1))]. 306 x \ x != y | 1 = y. [para(13(a,1),304(a,1,2)),flip(b)]. 307 (x / y) \ x != z | z = y. [para(17(a,1),304(a,1,2))]. 308 x \ (y * x) != z | T(y,x) = z. [para(116(a,1),304(a,1,2)),flip(b)]. 310 (x * y) \ (y * x) != z | K(y,x) = z. [para(96(a,1),304(a,1,2)),flip(b)]. 311 (x / y) \ x != z | y = z. [para(17(a,1),305(a,1,2))]. 312 x \ ((y / (x \ y)) * z) = z. [hyper(39,a,16,a,b,172,a),flip(a)]. 315 (x / (y \ x)) * z != u | y * z = u. [para(173(a,1),236(a,1,1)),flip(b)]. 316 (x * (x \ y)) \ z != u | y \ z = u. [para(174(a,1),307(a,1,1)),flip(b)]. 317 ((x / y) \ x) * (y \ z) = z. [hyper(285,a,15,a(flip),b,182,a),flip(a)]. 318 ((x / y) \ x) * z != u | y \ u = z. [para(182(a,2),128(a,1))]. 319 (x / y) * ((z / y) \ z) = x. [para(90(a,1),183(a,1,2,1,2))]. 320 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(207(a,1),23(a,2,2,2))]. 322 (x \ y) * z != y | T(x,x \ y) = z. [para(207(a,1),46(a,1)),flip(a)]. 324 T(x / (x / y),(z / (x / y)) \ z) = y. [para(90(a,2),230(a,1,2))]. 325 x * T(x \ 1,x) = K(x \ 1,x). [hyper(285,a,116,a,b,243,a)]. 326 (x \ 1) \ K(x \ 1,x) = x. [hyper(128,a,243,a(flip))]. 327 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(243(a,2),19(a,2,1,2)),flip(a)]. 328 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(243(a,2),25(a,2,1,1)),flip(a)]. 329 x \ K(x \ 1,x) = T(x \ 1,x). [para(243(a,2),27(a,2,2)),flip(a)]. 331 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(245(a,2),23(a,2,1)),flip(a)]. 332 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(32(a,2),249(a,1,2))]. 334 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(286(a,1),25(a,2,1))]. 335 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(25(a,2),288(a,1,1))]. 336 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(249(a,1),317(a,1,1,1))]. 337 x * ((y / z) \ y) != u | u / z = x. [para(319(a,1),47(a,1)),flip(a)]. 338 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(249(a,1),319(a,1,2,1))]. 339 (x \ 1) * x != y | K(x \ 1,x) = y. [para(326(a,1),240(a,1,2)),flip(b)]. 340 x \ (x * y) = L(y,x,1). [para(12(a,1),101(a,1,2))]. 341 L(x,y,1) = x. [hyper(305,a,340,a),flip(a)]. 342 L(x,y,1) = z \ (z * x). [hyper(285,a,14,a,b,341,a),flip(a)]. 344 L(x,y,1) != z \ (z * u) | u = x. [para(342(a,1),53(a,1)),flip(a)]. 345 L(1,x,y) = 1. [hyper(306,a,102,a),flip(a)]. 348 R(1,x,y) = 1. [hyper(296,a,108,a),flip(a)]. 351 (x * y) / y = R(x,1,y). [para(13(a,1),109(a,1,1,1))]. 352 R(x,1,y) = x. [hyper(295,a,351,a),flip(a)]. 355 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(196,a,25,a(flip)),flip(a)]. 356 L(x \ 1,x,1 / x) = 1 / x. [hyper(285,a,162,a(flip),b,203,a),flip(a)]. 357 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(285,a,154,a(flip),b,203,a),flip(a)]. 358 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(64,a,203,a)]. 359 x / L(y \ 1,y,x) = x * y. [hyper(185,a,203,a(flip))]. 360 (x * y) * L(y \ 1,y,x) = x. [hyper(138,a,203,a(flip))]. 361 L(x \ 1,x,y / x) = y \ (y / x). [para(17(a,1),203(a,2,1))]. 362 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(203(a,1),30(a,2,1)),flip(a)]. 363 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(203(a,1),34(a,1,1))]. 364 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(203(a,1),35(a,1,1)),flip(a)]. 365 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(60,a,205,a)]. 366 R(1 / x,x,x \ 1) = x \ 1. [hyper(196,a,205,a(flip))]. 367 R(1 / x,x,y) \ y = x * y. [hyper(180,a,205,a(flip))]. 368 R(1 / x,x,x \ y) = (x \ y) / y. [para(15(a,1),205(a,2,2))]. 369 R(1 / (x / y),x / y,y) = y / x. [para(17(a,1),205(a,2,2))]. 370 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(205(a,1),32(a,2,1)),flip(a)]. 371 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(205(a,1),36(a,1,1)),flip(a)]. 375 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(14(a,2),225(a,2)),flip(a)]. 376 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(28(a,1),227(a,1,2))]. 379 (x / y) * y != z * u | x / u = z. [para(157(a,2),235(a,1))]. 380 x * (y * (y \ 1)) != z * u | z \ x = u. [para(15(a,2),239(a,1,2))]. 381 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),239(a,1))]. 382 (x * y) / z != K(x,y) | T(y * x,K(x,y)) = z. [para(96(a,1),250(a,1,1))]. 383 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(28(a,1),263(a,1,2))]. 384 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(30(a,2),263(a,1,2))]. 385 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(32(a,2),263(a,1,2))]. 386 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(116(a,1),308(a,1,2))]. 388 x / y != x * z | L(z \ 1,z,x) = y. [para(359(a,1),48(a,1)),flip(a)]. 389 x / L(y,1 / y,x) = x * (1 / y). [para(90(a,1),359(a,1,2,1))]. 390 (x * y) * z != x | L(y \ 1,y,x) = z. [para(359(a,1),130(a,1,1))]. 391 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(359(a,1),307(a,1,1)),flip(b)]. 392 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),317(a,1,1,1))]. 393 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(360(a,1),23(a,2,2,2))]. 394 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(87(a,1),367(a,1,1,1))]. 395 x / (y * x) != z | R(1 / y,y,x) = z. [para(367(a,1),297(a,1,2)),flip(b)]. 396 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(14(a,1),97(a,2,1)),flip(a)]. 397 K(x \ 1,x) != y | (x \ 1) * x = y. [para(97(a,1),163(a,1)),flip(b)]. 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(116(a,2),97(a,1,2))]. 399 x * K(y \ x,y) != z | (y \ x) * y = z. [para(97(a,1),240(a,1,2)),flip(b)]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(243(a,2),98(a,1,1))]. 402 K(x,1 / x) != y | x * (1 / x) = y. [para(99(a,1),163(a,1)),flip(b)]. 403 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(122,a,23,a,b,162,a(flip))]. 404 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(122,a,23,a,b,161,a(flip))]. 406 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(123,a,203,a,b,12,a)]. 407 R(x,1 / y,y) / y = x * (1 / y). [hyper(123,a,25,a,b,166,a(flip))]. 408 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(123,a,203,a(flip),b,12,a)]. 409 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(124,a,117,a,b,90,a)]. 410 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(124,a,35,a,b,23,a(flip))]. 411 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(124,a,34,a,b,23,a(flip))]. 412 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(124,a,23,a,b,154,a(flip))]. 413 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(124,a,30,a(flip),b,23,a(flip))]. 414 x * T(x \ (y * x),z) = T(y,z) * x. [para(27(a,1),221(a,1,2,1))]. 415 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(28(a,1),221(a,1,2,1))]. 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(170(a,1),221(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(118(a,1),221(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(208(a,1),221(a,1,2,1)),flip(a)]. 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(117(a,1),221(a,1,2,1))]. 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(254,a,231,a)]. 421 T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). [para(231(a,1),28(a,1,1)),flip(a)]. 423 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(231(a,1),263(a,1,2))]. 424 T(T(x / y,z),u) * y = y * T(T(y \ x,z),u). [para(231(a,1),221(a,1,2,1)),flip(a)]. 425 (x * T(y,z)) / x = T((x * y) / x,z). [para(208(a,1),252(a,1,1,2,1))]. 426 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(253(a,1),52(a,2)),flip(b)]. 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(253(a,1),227(a,1,2))]. 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(253(a,1),298(a,1,1,2)),flip(b)]. 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),23(a,2,2,2)),flip(a)]. 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),304(a,1,2)),flip(b)]. 433 x * K(y,x / y) != y * z | x / y = z. [para(272(a,2),46(a,1))]. 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),304(a,1,2)),flip(b)]. 436 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(185,a,401,a)]. 437 (x * y) / L(z \ y,z,x) = x * z. [hyper(123,a,152,a(flip),b,103,a)]. 438 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(123,a,17,a(flip),b,103,a)]. 439 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(66,a,150,a(flip),b,103,a)]. 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),23(a,2,1)),flip(a)]. 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),23(a,2,2,2)),flip(a)]. 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(103(a,1),25(a,2,1,1)),flip(a)]. 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(103(a,1),25(a,2,1)),flip(a)]. 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),46(a,1)),flip(a)]. 446 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(116(a,1),103(a,1,1))]. 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),304(a,1,2)),flip(b)]. 448 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(243(a,2),103(a,1,1))]. 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),193(a,1))]. 450 L(x \ T(y * x,y),x,y) = y. [hyper(285,a,210,a(flip),b,105,a),flip(a)]. 451 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(285,a,162,a(flip),b,105,a),flip(a)]. 452 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(285,a,161,a(flip),b,105,a),flip(a)]. 453 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(285,a,154,a(flip),b,105,a),flip(a)]. 454 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(17(a,1),105(a,2,1))]. 455 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(17(a,1),105(a,2,2))]. 456 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(19(a,2),105(a,1,1)),flip(a)]. 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(116(a,1),105(a,2,1))]. 458 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(116(a,1),105(a,2,2))]. 459 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 460 (R(x,y,z) * (y * z)) / z = x * y. [hyper(123,a,112,a,b,xx)]. 461 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(122,a,286,a(flip),b,112,a)]. 462 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(122,a,151,a(flip),b,112,a)]. 463 R(x / y,y,z) \ (x * z) = y * z. [hyper(122,a,150,a(flip),b,112,a)]. 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,82,a(flip),b,112,a(flip))]. 465 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(122,a,82,a(flip),b,112,a(flip))]. 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(122,a,112,a(flip),b,103,a)]. 467 R(x,y / z,z) * y = (x * (y / z)) * z. [para(17(a,1),112(a,1,2))]. 468 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(112(a,1),19(a,2,1)),flip(a)]. 469 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(112(a,1),25(a,2,1,1)),flip(a)]. 470 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(112(a,1),25(a,2,2)),flip(a)]. 471 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(32(a,1),112(a,1,1))]. 472 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(34(a,1),112(a,1,1))]. 473 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(36(a,1),112(a,1,1))]. 474 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(112(a,2),46(a,2)),flip(a)]. 475 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(112(a,1),47(a,1))]. 476 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(116(a,1),112(a,1,2))]. 477 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(112(a,1),96(a,1,1))]. 478 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(96(a,1),112(a,1,2))]. 479 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(112(a,1),294(a,1,1)),flip(b)]. 480 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(112(a,2),294(a,1,1)),flip(b)]. 481 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(243(a,2),112(a,1,2))]. 482 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(112(a,1),195(a,1)),flip(b)]. 484 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(112(a,1),103(a,1,1))]. 485 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(112(a,1),112(a,1,2))]. 486 R(x / (1 / y),1 / y,y) = x * y. [hyper(285,a,166,a(flip),b,113,a),flip(a)]. 487 R((x / y) / z,z,y) = x / (z * y). [hyper(285,a,153,a(flip),b,113,a),flip(a)]. 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(196,a,113,a(flip))]. 489 R(x / (y / z),y / z,z) = (x * z) / y. [para(17(a,1),113(a,2,2))]. 490 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(113(a,1),32(a,2,1)),flip(a)]. 491 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(229(a,1),113(a,2,2))]. 492 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(113(a,2),196(a,1)),flip(b)]. 493 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(112(a,1),113(a,2,1))]. 494 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(112(a,1),113(a,2,2))]. 495 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(113(a,2),113(a,1,1))]. 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(96(a,1),176(a,1,2,1))]. 498 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),176(a,1,2,1))]. 499 (x * y) / L(z,y / z,x) = x * (y / z). [para(17(a,1),178(a,1,1,2))]. 501 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(116(a,1),178(a,1,1,2))]. 502 R(x,x \ 1,(x \ 1) \ y) = ((x \ 1) \ y) / y. [para(15(a,1),200(a,2,2))]. 503 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(122,a,35,a,b,242,a)]. 504 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(122,a,30,a(flip),b,242,a)]. 505 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(242(a,1),46(a,1))]. 506 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(122,a,35,a,b,244,a)]. 507 L(x,y / x,1 / (y / x)) = (1 / (y / x)) * y. [para(17(a,1),244(a,1,2)),flip(a)]. 508 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(123,a,34,a(flip),b,247,a)]. 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),30(a,2,1))]. 513 (x * (x \ y)) * z != u | y * z = u. [para(87(a,1),293(a,1,1,1))]. 515 1 * x != y * z | y \ x = z. [para(85(a,1),299(a,1,1))]. 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(179(a,1),299(a,1,1))]. 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(155(a,1),299(a,1,1))]. 519 (x * (x \ 1)) * y != z * u | z \ y = u. [para(15(a,2),515(a,1,1))]. 525 ((1 / x) * x) * y != z * u | y / u = z. [para(162(a,1),300(a,1,2))]. 526 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(158(a,1),300(a,1,2))]. 533 x \ y != z * T(u,z) | x * (u * z) = y. [para(27(a,2),302(a,2,2))]. 534 x \ y != (z / u) * u | x * z = y. [para(90(a,1),302(a,2,2))]. 535 x \ (x * y) != z \ u | z * y = u. [para(158(a,2),302(a,2)),flip(a)]. 539 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(242(a,1),303(a,1))]. 542 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(123,a,34,a(flip),b,355,a)]. 543 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(122,a,355,a(flip),b,116,a)]. 544 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(117(a,2),355(a,1,2))]. 545 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(112(a,1),355(a,1,1)),flip(a)]. 546 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(357(a,1),169(a,1,2))]. 547 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(361(a,1),30(a,2,1)),flip(a)]. 548 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(368(a,1),32(a,2,1)),flip(a)]. 549 (((x / y) / z) * z) * y != u * w | x / w = u. [para(17(a,2),379(a,1,1))]. 550 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(155(a,1),379(a,1,1))]. 551 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(15(a,2),381(a,1,2))]. 552 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),381(a,1,2))]. 554 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(389(a,1),48(a,1)),flip(a)]. 555 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(394(a,1),51(a,1)),flip(a)]. 556 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(404(a,1),240(a,1,2)),flip(b)]. 560 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(407(a,1),236(a,1,1)),flip(b)]. 561 x / L(y \ z,y,x / z) = (x / z) * y. [hyper(66,a,153,a(flip),b,437,a)]. 563 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(437(a,1),307(a,1,1)),flip(b)]. 564 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(451(a,1),30(a,2,1))]. 565 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(451(a,1),34(a,1,1)),flip(a)]. 566 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(452(a,1),30(a,2,1))]. 567 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(452(a,1),169(a,1,2))]. 570 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(116(a,1),463(a,1,2))]. 571 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(205(a,2),463(a,1,1,1))]. 572 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(486(a,1),32(a,2,1))]. 573 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),32(a,2,1))]. 574 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(488(a,1),34(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),36(a,1,1)),flip(a)]. 576 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),168(a,1,2))]. 577 T(x * (y \ 1),x / y) = x * (y \ 1). [hyper(57,a,576,a)]. 578 x \ y != (z / (u \ z)) * w | x * (u * w) = y. [para(173(a,1),534(a,2,1))]. 582 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(66,a,103,a(flip),b,222,a)]. 583 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(122,a,222,a(flip),b,103,a(flip))]. 584 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(222(a,1),19(a,2,1,2)),flip(a)]. 585 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(27(a,1),222(a,1,2,1))]. 586 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(32(a,2),222(a,1,2,1))]. 587 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(118(a,1),222(a,1,2,1)),flip(a)]. 588 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(208(a,1),222(a,1,2,1)),flip(a)]. 589 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(122,a,112,a(flip),b,223,a)]. 591 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(28(a,1),223(a,1,2,1))]. 592 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(223(a,1),46(a,1))]. 593 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(118(a,1),223(a,1,2,1)),flip(a)]. 594 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(208(a,1),223(a,1,2,1)),flip(a)]. 595 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(117(a,1),223(a,1,2,1))]. 596 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(230(a,1),223(a,1,2,1)),flip(a)]. 597 T(x / y,(z / y) \ z) = y \ x. [hyper(224,a,319,a,b,317,a)]. 598 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(224,a,103,a(flip),b,150,a(flip))]. 599 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(254,a,232,a)]. 600 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(254,a,233,a)]. 601 T(x / (y * x),y) = R(y \ 1,y,x). [para(205(a,1),233(a,1,1))]. 602 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(366(a,1),233(a,1,1)),flip(a)]. 603 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(113(a,1),233(a,1,1))]. 604 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(369(a,1),233(a,1,1)),flip(a)]. 605 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(487(a,1),233(a,1,1)),flip(a)]. 606 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),233(a,1,1)),flip(a)]. 607 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(124,a,601,a(flip),b,27,a(flip)),flip(a)]. 608 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(601(a,1),263(a,1,2))]. 609 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(278(a,1),50(a,1))]. 610 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(278(a,2),249(a,1,2,2))]. 611 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(295,a,279,a),flip(a)]. 612 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(279(a,1),136(a,1))]. 614 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(263,a,281,a),flip(a)]. 615 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(224,a,281,a,b,116,a)]. 616 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(122,a,281,a,b,xx)]. 617 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(281(a,2),21(a,2,1)),flip(a)]. 618 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(281(a,2),310(a,1,1))]. 619 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(282(a,1),263(a,1,2))]. 620 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(282(a,1),221(a,1,2,1))]. 621 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(17(a,1),391(a,1,1))]. 622 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(116(a,1),395(a,1,2))]. 623 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(245(a,2),395(a,1,2))]. 624 K(x \ (x * y),x) = K(y,x). [hyper(285,a,97,a(flip),b,396,a)]. 625 K(x \ (x * y),z) = K(y,z). [para(80(a,1),624(a,1,1)),flip(a)]. 626 K((x / y) \ x,z) = K(y,z). [para(17(a,1),625(a,1,1,2))]. 627 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(409(a,1),294(a,1,1)),flip(b)]. 628 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(66,a,281,a(flip),b,418,a)]. 629 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),236(a,1,1)),flip(b)]. 630 T(x / y,y) != z | y \ x = z. [para(420(a,1),298(a,1)),flip(b)]. 632 T(x,x \ y) != z | (x \ y) \ y = z. [para(87(a,1),630(a,1,1))]. 633 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(179(a,1),630(a,1,1))]. 634 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(249(a,1),630(a,1,1))]. 635 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(117(a,2),632(a,1,2))]. 636 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(98(a,1),632(a,1,2))]. 637 T((x * y) / x,L(y,z,u)) = (x * y) / x. [para(169(a,1),425(a,1,1,2)),flip(a)]. 638 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(118(a,1),425(a,1,1,2)),flip(a)]. 639 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(425(a,1),236(a,1,1)),flip(b)]. 640 T(x * y,(x \ 1) \ y) = x * y. [hyper(57,a,567,a)]. 641 T(x * ((y \ x) \ 1),y) = x * ((y \ x) \ 1). [para(87(a,1),577(a,1,2))]. 642 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(616(a,1),240(a,1,2)),flip(b)]. 644 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(15(a,1),93(a,1,1,2))]. 645 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(17(a,1),93(a,1,1,2))]. 646 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(116(a,1),93(a,1,1,2))]. 647 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(93(a,1),304(a,1,2)),flip(b)]. 648 (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. [para(93(a,1),535(a,1,2))]. 649 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(124,a,35,a,b,104,a)]. 650 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(116(a,1),104(a,1,2,2)),flip(a)]. 651 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(124,a,35,a,b,106,a)]. 652 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),163(a,1)),flip(b)]. 653 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(106(a,1),240(a,1,2)),flip(b)]. 654 L(x,y / x,z / y) = ((z / y) * (y / x)) \ z. [para(17(a,1),107(a,2,2))]. 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),269(a,1,1))]. 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(110(a,2),289(a,1,1))]. 657 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(355(a,1),202(a,1,2))]. 658 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(138,a,657,a)]. 659 x \ y != z * a(z,u,u \ 1) | x * R(z,u,u \ 1) = y. [para(657(a,1),302(a,2,2))]. 661 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(247(a,1),206(a,1,2))]. 662 L(T(x,y),y,x) = T(x,x * y). [hyper(308,a,216,a),flip(a)]. 663 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(112(a,1),216(a,1,2))]. 664 T(L(x,y,x),y) = T(x,x * y). [hyper(66,a,30,a(flip),b,662,a)]. 665 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(662(a,1),30(a,2,1))]. 666 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(662(a,1),34(a,1,1)),flip(a)]. 667 x * T(y,y * x) = L(y,x,y) * x. [para(662(a,1),222(a,1,2))]. 668 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(662(a,2),223(a,1,2,1))]. 669 (x * T(y,y * x)) / x = L(y,x,y). [hyper(254,a,664,a)]. 670 T((x * y) / x,y * x) = L(y,x,y). [hyper(43,a,253,a,b,664,a)]. 671 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(664(a,1),222(a,1,2,1))]. 672 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(15(a,1),667(a,1,2,2)),flip(a)]. 674 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(116(a,1),667(a,1,2,2)),flip(a)]. 676 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(15(a,1),670(a,1,2))]. 677 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(670(a,1),28(a,1,1)),flip(a)]. 678 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(274(a,1),417(a,1,1,1)),flip(a)]. 679 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(66,a,223,a,b,335,a)]. 680 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(122,a,335,a(flip),b,223,a)]. 681 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(14(a,1),335(a,1,1,3))]. 682 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(34(a,1),335(a,1,1))]. 683 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(285,a,27,a,b,358,a),flip(a)]. 684 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(124,a,362,a,b,23,a(flip))]. 685 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(241,a,365,a),flip(a)]. 686 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(630,a,370,a),flip(a)]. 687 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(117(a,1),376(a,1,2))]. 688 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(27(a,1),383(a,1,2,1))]. 689 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(392(a,1),304(a,1,2)),flip(b)]. 690 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(412(a,1),46(a,1))]. 691 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(412(a,1),304(a,1,2)),flip(b)]. 692 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(116(a,2),431(a,1,2))]. 693 L(x \ y,x,y / x) = T(y / x,y). [hyper(224,a,152,a(flip),b,439,a),flip(a)]. 695 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(453(a,1),30(a,2,1))]. 696 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(453(a,1),34(a,1,1)),flip(a)]. 697 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(455(a,1),30(a,2,1)),flip(a)]. 698 K(x,y) = L(x \ T(x,y),x,y). [hyper(285,a,21,a,b,458,a)]. 699 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(458(a,1),30(a,2,1))]. 700 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(462(a,1),297(a,1,2)),flip(b)]. 701 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(467(a,1),47(a,1))]. 702 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(489(a,1),32(a,2,1))]. 703 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(489(a,1),36(a,1,1)),flip(a)]. 704 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(205(a,2),489(a,1,1,2))]. 705 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(205(a,2),489(a,1,2))]. 706 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(489(a,1),233(a,1,1)),flip(a)]. 707 x / L(y,z / y,x / z) = (x / z) * (z / y). [hyper(66,a,153,a(flip),b,499,a)]. 708 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(499(a,1),118(a,1,1))]. 709 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(501(a,1),307(a,1,1)),flip(b)]. 713 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(14(a,1),603(a,2,1)),flip(a)]. 714 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(15(a,1),603(a,1,1,2))]. 715 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(603(a,1),231(a,1,1))]. 716 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(605(a,1),335(a,1,1)),flip(a)]. 717 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(66,a,355,a,b,606,a)]. 718 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(14(a,1),606(a,1,1)),flip(a)]. 719 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(17(a,1),607(a,1,1,2)),flip(a)]. 721 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(607(a,1),310(a,1,1))]. 722 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(124,a,665,a(flip),b,23,a(flip))]. 723 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(15(a,1),685(a,1,1,2))]. 724 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [hyper(124,a,713,a,b,27,a(flip)),flip(a)]. 725 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(166(a,1),713(a,2,1)),flip(a)]. 726 T(R(x,y,x),y * x) = T(x,y). [para(713(a,2),253(a,1,1))]. 727 R(T(x,y * x),y,x) = T(x,y). [hyper(66,a,32,a,b,726,a)]. 728 T(x,y * z) != T(z,y) | R(z,y,z) = x. [para(726(a,1),52(a,1)),flip(a)]. 729 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(726(a,1),223(a,1,2,1)),flip(a)]. 730 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(43,a,713,a(flip),b,727,a(flip))]. 731 R(T(x,y),y / x,x) = T(x,y / x). [para(17(a,1),727(a,1,1,2))]. 733 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(727(a,1),112(a,1,1)),flip(a)]. 734 R(x,1 / x,x) = T(x,1 / x). [para(186(a,1),731(a,1,1))]. 735 T(x,1 / x) / x = x * (1 / x). [hyper(123,a,734,a(flip),b,247,a)]. 736 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(734(a,1),36(a,1,1)),flip(a)]. 737 T(x,1 / x) / x = K(x,1 / x). [hyper(285,a,245,a,b,735,a),flip(a)]. 738 T(x * T(y,x * y),y) = x * y. [hyper(250,a,730,a)]. 739 (x * T(y,x * y)) * y = y * (x * y). [hyper(136,a,730,a),flip(a)]. 740 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(285,a,17,a(flip),b,738,a),flip(a)]. 741 (x * (y * x)) / x = y * T(x,y * x). [hyper(254,a,738,a)]. 743 T((x / y) * T(y,x),y) = x. [para(17(a,1),740(a,1,1,2,2))]. 744 (x / y) * T(y,x) = (y * x) / y. [hyper(254,a,743,a),flip(a)]. 745 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(315,a,744,a),flip(a)]. 746 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(224,a,744,a,b,15,a),flip(a)]. 747 ((x * y) / x) / T(x,y) = y / x. [hyper(135,a,744,a)]. 748 T(x,y) = (y / x) \ ((x * y) / x). [hyper(128,a,744,a),flip(a)]. 750 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),744(a,1,1)),flip(a)]. 751 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(389(a,1),744(a,1,1)),flip(a)]. 752 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(285,a,16,a(flip),b,747,a),flip(a)]. 753 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(39,a,173,a(flip),b,747,a)]. 754 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(752(a,1),299(a,1,1))]. 755 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(752(a,1),379(a,1,1))]. 756 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(254,a,718,a)]. 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(285,a,32,a,b,119,a)]. 760 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(36(a,1),262(a,1,1))]. 761 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(116(a,1),262(a,1,2))]. 762 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(30(a,1),265(a,1,2))]. 763 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(34(a,2),265(a,1,2))]. 764 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(243(a,2),265(a,1,1))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(96(a,1),445(a,1,1)),flip(a)]. 767 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(116(a,1),447(a,1,1))]. 768 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(84(a,1),447(a,1,2))]. 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. 770 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(93(a,1),447(a,1,2,2))]. 771 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(116(a,1),449(a,1,2))]. 774 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(223(a,1),479(a,1,2))]. 776 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(243(a,2),556(a,1,2))]. 778 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(357(a,1),587(a,2,2))]. 779 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(135,a,588,a),flip(a)]. 780 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(123,a,103,a(flip),b,588,a),flip(a)]. 781 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(593(a,1),355(a,1,1))]. 782 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(274(a,1),593(a,1,1,1)),flip(a)]. 783 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(135,a,594,a),flip(a)]. 784 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(128,a,594,a)]. 785 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(123,a,594,a(flip),b,335,a(flip))]. 786 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(123,a,594,a(flip),b,112,a(flip))]. 787 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(599(a,1),236(a,1,1)),flip(b)]. 788 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(203(a,1),599(a,1,1,2))]. 789 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),599(a,1,1,2)),flip(a)]. 790 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(357(a,1),599(a,1,1,2))]. 791 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(452(a,1),599(a,1,1,2))]. 792 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(698(a,2),599(a,1,1,2)),flip(a)]. 794 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(23(a,2),600(a,1,1,2,1))]. 795 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(90(a,1),600(a,1,1,2,1))]. 796 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(600(a,1),236(a,1,1)),flip(b)]. 797 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(254,a,638,a)]. 798 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [hyper(124,a,638,a(flip),b,27,a(flip)),flip(a)]. 800 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(638(a,1),263(a,1,2))]. 801 T(x,y * ((x \ y) \ 1)) = x. [hyper(57,a,641,a)]. 802 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(271(a,2),717(a,1,1))]. 805 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(118(a,1),757(a,1,1,1)),flip(a)]. 806 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(124,a,779,a(flip),b,23,a(flip))]. 807 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(361(a,1),779(a,2,1,2))]. 808 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(451(a,1),779(a,2,1,2))]. 809 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(452(a,1),779(a,2,1,2))]. 810 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(453(a,1),779(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(486(a,1),783(a,2,1,2))]. 813 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(487(a,1),783(a,2,1,2))]. 814 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),783(a,2,1,2))]. 815 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(783(a,1),262(a,1,1))]. 816 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(124,a,35,a,b,215,a)]. 817 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(66,a,425,a(flip),b,219,a)]. 818 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(246(a,1),465(a,1,1))]. 819 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(124,a,363,a,b,215,a)]. 820 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(124,a,363,a,b,23,a(flip))]. 821 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(602(a,1),363(a,2,1))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(285,a,105,a(flip),b,364,a),flip(a)]. 823 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(124,a,364,a(flip),b,23,a(flip))]. 824 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(356(a,1),364(a,1,1)),flip(a)]. 826 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(652,a,824,a)]. 827 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(15(a,1),824(a,1,1,1))]. 828 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(230(a,1),385(a,1,2,1))]. 829 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),413(a,1,2,1))]. 830 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),413(a,1,2,1))]. 831 (x * y) * T(T((x * y) \ x,z),u) = x * (y * T(T(y \ 1,z),u)). [para(362(a,2),413(a,1,2,1))]. 833 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(457(a,1),30(a,2,1))]. 834 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),34(a,1,1)),flip(a)]. 835 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(457(a,1),35(a,1,1)),flip(a)]. 836 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(113(a,1),471(a,1,1,1))]. 837 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(630,a,490,a),flip(a)]. 838 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(452(a,1),504(a,1,2,1)),flip(a)]. 839 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),265(a,1,2))]. 841 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(124,a,547,a,b,106,a),flip(a)]. 842 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(548(a,2),335(a,1,1))]. 845 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(122,a,564,a(flip),b,244,a)]. 846 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(362(a,1),564(a,1,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(179(a,1),570(a,1,1,1))]. 848 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(123,a,572,a(flip),b,247,a),flip(a)]. 849 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(123,a,573,a(flip),b,355,a)]. 850 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(203(a,1),582(a,2,1)),flip(a)]. 851 T(x,y) = (y * x) \ ((x * y) * x). [hyper(285,a,727,a(flip),b,589,a)]. 852 (x * y) * T(y,x) = (y * x) * y. [hyper(124,a,727,a(flip),b,589,a)]. 853 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(116(a,1),589(a,1,2,1)),flip(a)]. 854 R(T(x,y * L(z,y,x)),y,L(z,y,x)) = (y * L(z,y,x)) \ (x * (y * z)). [para(103(a,1),589(a,1,2)),flip(a)]. 855 ((x \ 1) * x) \ x = T(x,x \ 1). [para(81(a,1),851(a,2,2)),flip(a)]. 857 (x * (y / x)) * x = y * T(x,y / x). [hyper(293,a,852,a),flip(a)]. 858 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(122,a,852,a(flip),b,96,a)]. 859 K(x \ 1,x) \ x = T(x,x \ 1). [para(243(a,2),855(a,1,1))]. 860 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(124,a,117,a(flip),b,859,a)]. 861 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(335(a,1),592(a,1))]. 862 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(598(a,1),418(a,1,1))]. 863 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(87(a,1),629(a,1,1,1))]. 865 ((1 / x) * (x / y)) * y = a(1 / x,x / y,y). [hyper(193,a,645,a),flip(a)]. 867 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(285,a,30,a,b,677,a),flip(a)]. 868 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(122,a,150,a(flip),b,679,a),flip(a)]. 869 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(681(a,1),47(a,1))]. 870 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(214(a,1),789(a,2,1,2))]. 871 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(862(a,1),47(a,1))]. 873 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(116(a,1),647(a,1,1,2))]. 875 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(14(a,1),797(a,1,1,2,1,2))]. 876 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(797(a,1),236(a,1,1)),flip(b)]. 877 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(66,a,464,a,b,798,a)]. 878 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(87(a,1),798(a,1,1,1,2)),flip(a)]. 879 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(113(a,2),798(a,1,1,1,2))]. 880 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(113(a,1),805(a,1,1,1))]. 881 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(688,a,838,a),flip(a)]. 882 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(263,a,838,a),flip(a)]. 883 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(13(a,1),838(a,2,2,1))]. 884 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(15(a,1),838(a,2,2,1))]. 885 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(838(a,1),263(a,1))]. 886 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(66,a,419,a(flip),b,883,a)]. 888 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(886(a,1),310(a,1,2))]. 889 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(886(a,1),215(a,1,2,2))]. 890 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(533,a,845,a)]. 891 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(13(a,1),845(a,1,2,1))]. 892 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(15(a,1),845(a,1,2,1)),flip(a)]. 894 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(891(a,1),698(a,2,1)),flip(a)]. 895 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(90(a,1),894(a,1,1,2,1))]. 896 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(639,a,848,a),flip(a)]. 897 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(629,a,848,a)]. 898 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(12(a,1),848(a,2,1,1))]. 899 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(118(a,1),848(a,1,1)),flip(a)]. 900 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(848(a,1),629(a,1))]. 901 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(629,a,898,a)]. 902 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(898(a,1),629(a,1))]. 903 (1 / x) * T(x,y) = T(x,y) / x. [para(90(a,1),901(a,1,2,1))]. 904 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(901(a,1),894(a,1,1))]. 905 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(315,a,903,a),flip(a)]. 906 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(224,a,903,a,b,15,a),flip(a)]. 907 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(135,a,903,a)]. 908 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(66,a,280,a(flip),b,903,a),flip(a)]. 909 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(903(a,1),21(a,2,1)),flip(a)]. 910 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(903(a,1),315(a,1))]. 911 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(903(a,1),670(a,1,2))]. 912 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(621,a,906,a)]. 913 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(117(a,1),908(a,1,1)),flip(a)]. 914 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(285,a,417,a(flip),b,849,a),flip(a)]. 915 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(15(a,1),882(a,1,2,1)),flip(a)]. 917 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(123,a,884,a(flip),b,417,a)]. 918 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(123,a,884,a(flip),b,116,a(flip))]. 919 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(263,a,892,a)]. 920 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(892(a,1),398(a,1,2))]. 921 (1 / x) \ T((y \ (1 / x)) * y,x) = (x \ K(y \ (1 / x),y)) * x. [para(97(a,1),919(a,1,1,2)),flip(a)]. 923 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(17(a,1),899(a,1,1,1)),flip(a)]. 924 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(285,a,838,a(flip),b,914,a),flip(a)]. 925 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(136,a,914,a)]. 926 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(17(a,1),914(a,1,1,1)),flip(a)]. 927 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(32(a,2),918(a,1,1,2))]. 929 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(923(a,1),98(a,1,1)),flip(a)]. 930 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(14(a,1),925(a,1,1,2,1)),flip(a)]. 931 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(263,a,926,a)]. 932 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(115(a,1),930(a,2,1,2))]. 933 K((x * y) * (x \ 1),y) = 1. [hyper(58,a,932,a)]. 934 K(((1 / x) * y) * x,y) = 1. [para(90(a,1),933(a,1,1,2))]. 935 K(x * y,(1 / y) \ x) = 1. [para(15(a,1),934(a,1,1,1))]. 936 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(903(a,1),331(a,1,2,2))]. 937 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),410(a,1,2,1))]. 938 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),410(a,1,2,1))]. 939 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(662(a,1),410(a,1,2,1))]. 940 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),411(a,1,2,1))]. 941 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),411(a,1,2,1))]. 942 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,448,a),flip(a)]. 943 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(122,a,472,a(flip),b,582,a)]. 944 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(487(a,1),472(a,1,1,1)),flip(a)]. 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(113(a,1),473(a,1,1,1))]. 946 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(886(a,1),497(a,1,1,1))]. 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(452(a,1),503(a,1,2,1)),flip(a)]. 949 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(356(a,1),506(a,1,2,1))]. 950 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(451(a,1),506(a,1,2,1))]. 951 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(734(a,1),508(a,1,1,1))]. 952 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(30(a,1),951(a,1,1))]. 953 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(38,a,923,a,b,952,a(flip))]. 954 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(185,a,953,a)]. 955 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(138,a,953,a)]. 957 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(40,a,173,a,b,954,a),flip(a)]. 958 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(955(a,1),105(a,2,1))]. 959 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(955(a,1),670(a,1,2))]. 961 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(203(a,1),957(a,2,2))]. 962 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(180,a,961,a)]. 963 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(136,a,961,a)]. 964 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(15(a,1),962(a,1,1,2,1))]. 966 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(963(a,1),21(a,2,1)),flip(a)]. 968 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),542(a,1,1,1))]. 969 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(652,a,565,a)]. 970 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(821(a,1),565(a,1,1))]. 971 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [hyper(66,a,650,a(flip),b,695,a)]. 972 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(124,a,695,a(flip),b,104,a),flip(a)]. 973 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(695(a,1),30(a,2,1))]. 974 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(702(a,1),467(a,1,1)),flip(a)]. 975 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [hyper(66,a,32,a,b,715,a)]. 976 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(785(a,1),118(a,1,1)),flip(a)]. 977 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(368(a,1),785(a,1,1,2))]. 978 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(904(a,1),587(a,1,1)),flip(a)]. 979 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(942(a,1),46(a,1)),flip(a)]. 980 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(12(a,1),975(a,2,1,2))]. 981 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(14(a,1),975(a,1,1,1)),flip(a)]. 985 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(666(a,1),586(a,1,2))]. 986 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(37,a,223,a,b,595,a)]. 988 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(122,a,986,a,b,15,a)]. 989 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(122,a,986,a(flip),b,336,a),flip(a)]. 991 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(383,a,722,a),flip(a)]. 992 T(x,y) * (x * z) = x * (T(x,y) * z). [para(221(a,1),991(a,1,2)),flip(a)]. 993 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(552,a,992,a)]. 994 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(551,a,992,a),flip(a)]. 995 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(526,a,992,a)]. 996 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(303,a,992,a),flip(a)]. 997 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(285,a,152,a(flip),b,992,a),flip(a)]. 998 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(128,a,992,a)]. 999 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(122,a,152,a(flip),b,992,a)]. 1000 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(122,a,82,a(flip),b,992,a),flip(a)]. 1001 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(17(a,1),992(a,1,2)),flip(a)]. 1003 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(992(a,2),46(a,1))]. 1004 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(116(a,1),992(a,1,2)),flip(a)]. 1005 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),992(a,1,1)),flip(a)]. 1007 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(135,a,1000,a)]. 1008 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(128,a,1000,a)]. 1009 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(123,a,1000,a(flip),b,116,a)]. 1012 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1007(a,1),917(a,2,1))]. 1013 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(285,a,281,a(flip),b,993,a),flip(a)]. 1014 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),993(a,1,2))]. 1015 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(995(a,1),130(a,1,1)),flip(a)]. 1016 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(995(a,1),307(a,1,1)),flip(b)]. 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(224,a,116,a,b,997,a),flip(a)]. 1019 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(224,a,997,a,b,15,a)]. 1020 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(122,a,245,a,b,997,a)]. 1021 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(37,a,412,a,b,997,a),flip(a)]. 1022 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(37,a,272,a,b,997,a),flip(a)]. 1024 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(997(a,1),304(a,1,2)),flip(b)]. 1025 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(118(a,1),1018(a,1,2,1))]. 1026 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(224,a,733,a,b,1004,a)]. 1027 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(37,a,412,a,b,1004,a),flip(a)]. 1029 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(136,a,1012,a)]. 1030 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(118(a,1),1025(a,2,2))]. 1031 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(14(a,1),1030(a,1,2,1))]. 1032 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(118(a,1),1029(a,1,1)),flip(a)]. 1033 T(x,y) = ((x * y) / x) * (y \ x). [para(14(a,1),1031(a,2,2)),flip(a)]. 1034 T(x,y) / (y \ x) = (x * y) / x. [hyper(123,a,1033,a,b,xx)]. 1035 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(122,a,1033,a,b,116,a),flip(a)]. 1036 ((x * y) / x) \ T(x,y) = y \ x. [hyper(122,a,1033,a,b,xx)]. 1037 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(17(a,1),1033(a,2,1,1)),flip(a)]. 1038 ((x * (x / y)) / x) * y = T(x,x / y). [para(90(a,1),1033(a,2,2)),flip(a)]. 1039 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(367(a,1),1033(a,2,2)),flip(a)]. 1040 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(394(a,1),1033(a,2,2)),flip(a)]. 1041 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(14(a,1),1034(a,1,2)),flip(a)]. 1043 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(66,a,798,a(flip),b,1038,a)]. 1044 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(122,a,1038,a(flip),b,798,a(flip))]. 1045 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(90(a,1),1043(a,1,2,1,2))]. 1046 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(789(a,2),1043(a,1,2))]. 1048 T(x \ T(y,y / x),y) = x \ y. [para(1044(a,2),208(a,1,1))]. 1049 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1044(a,1),381(a,1,2))]. 1050 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(87(a,1),1048(a,1,1,2,2))]. 1051 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(285,a,117,a,b,1050,a),flip(a)]. 1052 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1035(a,1),867(a,1,1))]. 1053 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(123,a,208,a(flip),b,1037,a),flip(a)]. 1054 T(T(x * y,x) / y,x * y) = x. [para(1041(a,1),208(a,1,1))]. 1055 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1041(a,1),817(a,1,1))]. 1056 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(355(a,1),1054(a,1,1,1,1))]. 1057 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(630,a,1055,a)]. 1059 L(R(x,y,T(x,y)),y,x) = x. [para(1057(a,1),450(a,1,1))]. 1060 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(209(a,1),1045(a,1,2)),flip(a)]. 1062 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(245(a,2),1024(a,1,2))]. 1063 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(220(a,1),1024(a,1))]. 1064 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),1001(a,1,2))]. 1065 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(117(a,1),1013(a,1,2,1))]. 1067 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1014(a,1),1016(a,1))]. 1068 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(906(a,1),1022(a,1,2))]. 1071 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(122,a,1046,a(flip),b,103,a(flip))]. 1072 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(105(a,1),762(a,1,2,1))]. 1073 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(128,a,841,a)]. 1076 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(325(a,1),841(a,1,2))]. 1077 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(629,a,842,a),flip(a)]. 1078 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(909(a,1),105(a,1,1)),flip(a)]. 1079 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(32(a,2),943(a,2,2))]. 1080 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(13(a,1),947(a,2,2,1))]. 1081 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(268(a,1),947(a,1,2)),flip(a)]. 1082 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(138,a,950,a)]. 1084 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(285,a,587,a(flip),b,968,a),flip(a)]. 1085 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(13(a,1),969(a,2,1))]. 1086 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(128,a,1085,a)]. 1087 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(122,a,369,a(flip),b,1085,a),flip(a)]. 1088 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(37,a,658,a,b,1085,a),flip(a)]. 1089 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1085(a,1),304(a,1,2)),flip(b)]. 1090 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(607(a,2),1085(a,1,2))]. 1091 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(285,a,205,a(flip),b,1090,a),flip(a)]. 1092 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(123,a,368,a(flip),b,1090,a)]. 1093 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(224,a,1091,a,b,15,a),flip(a)]. 1095 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(285,a,798,a(flip),b,977,a),flip(a)]. 1096 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),1005(a,1,2,1))]. 1097 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(208(a,1),1005(a,1,2,1)),flip(a)]. 1098 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(230(a,1),1005(a,1,2,1)),flip(a)]. 1099 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(380,a,1096,a),flip(a)]. 1100 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(285,a,89,a(flip),b,1096,a),flip(a)]. 1101 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(122,a,82,a(flip),b,1096,a),flip(a)]. 1102 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(771,a,1100,a)]. 1103 (1 / x) * K(x \ 1,x) = x \ 1. [para(243(a,2),1100(a,1,2))]. 1104 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(128,a,1103,a)]. 1105 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1103(a,1),475(a,2,2))]. 1106 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1104(a,1),561(a,1,2,1))]. 1107 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1102(a,1),506(a,1,2,1))]. 1108 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(66,a,913,a(flip),b,1099,a)]. 1109 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1101(a,1),46(a,1))]. 1110 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(692,a,1073,a)]. 1111 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(122,a,398,a(flip),b,1073,a(flip))]. 1113 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(285,a,901,a(flip),b,1110,a),flip(a)]. 1114 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(285,a,883,a(flip),b,1110,a),flip(a)]. 1115 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(123,a,1110,a,b,417,a)]. 1116 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(906(a,1),1110(a,1,1))]. 1119 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1034(a,1),1111(a,1,2,1,2))]. 1120 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(136,a,1113,a(flip)),flip(a)]. 1121 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(601(a,1),1113(a,2,1))]. 1122 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(118(a,1),1114(a,2,2))]. 1123 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(208(a,1),1114(a,2,2))]. 1124 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(16(a,1),1115(a,1,1,1,2))]. 1126 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1077(a,1,1))]. 1127 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(122,a,1079,a,b,xx)]. 1128 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(90(a,1),1084(a,1,1,1,2))]. 1129 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(15(a,1),1092(a,1,2,1,2))]. 1130 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(180,a,1129,a)]. 1131 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(285,a,222,a(flip),b,1107,a),flip(a)]. 1132 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(124,a,222,a(flip),b,1107,a)]. 1133 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(357(a,1),1131(a,1,2)),flip(a)]. 1134 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(285,a,203,a(flip),b,1132,a)]. 1135 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(203(a,1),1134(a,2,2,1)),flip(a)]. 1136 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(128,a,1135,a)]. 1137 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1123(a,2),117(a,1,2))]. 1138 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1123(a,2),632(a,1,2))]. 1139 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1126(a,1),294(a,1,1)),flip(b)]. 1140 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(325(a,1),1126(a,1,1))]. 1141 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(883(a,1),1126(a,1,1))]. 1143 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(587(a,1),544(a,1,1))]. 1144 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(453(a,1),649(a,1,2,1)),flip(a)]. 1145 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(454(a,1),651(a,1,2,1)),flip(a)]. 1146 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(66,a,411,a(flip),b,668,a)]. 1147 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(223(a,1),1146(a,1,2)),flip(a)]. 1148 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(552,a,1147,a)]. 1149 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(526,a,1147,a)]. 1150 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(380,a,1147,a),flip(a)]. 1152 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1147,a)]. 1153 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1147,a),flip(a)]. 1154 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(116(a,1),1147(a,1,2)),flip(a)]. 1155 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1147(a,1),216(a,1,2))]. 1156 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(135,a,1150,a)]. 1157 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(128,a,1150,a)]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(66,a,595,a,b,1150,a)]. 1159 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(123,a,1150,a(flip),b,223,a)]. 1160 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1150(a,1),607(a,1,1,2)),flip(a)]. 1161 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),638(a,2,1))]. 1162 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [hyper(124,a,1153,a(flip),b,403,a),flip(a)]. 1163 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1153(a,1),881(a,1,2,1,2))]. 1165 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1157(a,1),1122(a,2,2))]. 1166 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(112(a,1),1148(a,1,2)),flip(a)]. 1167 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(135,a,1166,a),flip(a)]. 1168 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(224,a,112,a(flip),b,1154,a),flip(a)]. 1169 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(128,a,1168,a)]. 1170 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(368(a,1),682(a,1,1,1))]. 1171 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(124,a,696,a(flip),b,104,a),flip(a)]. 1172 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(122,a,696,a(flip),b,242,a),flip(a)]. 1173 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(703(a,1),467(a,1,1)),flip(a)]. 1174 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(66,a,473,a(flip),b,729,a),flip(a)]. 1176 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(780(a,2),49(a,1))]. 1177 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(203(a,1),806(a,1,2,1,2))]. 1178 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),806(a,1,2,1,2))]. 1179 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),806(a,1,2,1,2))]. 1180 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(124,a,807,a(flip),b,106,a),flip(a)]. 1181 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(122,a,808,a(flip),b,244,a)]. 1182 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(122,a,809,a(flip),b,242,a),flip(a)]. 1183 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(123,a,812,a(flip),b,247,a),flip(a)]. 1184 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(124,a,833,a(flip),b,215,a)]. 1185 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(993(a,1),870(a,1,1,1))]. 1186 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1038(a,1),876(a,1))]. 1187 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(17(a,1),885(a,1,2,1))]. 1188 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [hyper(122,a,895,a(flip),b,1082,a),flip(a)]. 1191 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(112(a,1),442(a,1,2))]. 1192 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(122,a,477,a(flip),b,112,a)]. 1193 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(620(a,1),412(a,2,2))]. 1194 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),763(a,1,2,1))]. 1196 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),820(a,1,1))]. 1198 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(639,a,836,a),flip(a)]. 1199 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(629,a,836,a)]. 1200 (x * T(y,z)) * y = (x * y) * T(y,z). [para(418(a,1),1198(a,1,1))]. 1201 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(550,a,1200,a)]. 1202 (1 / T(x,y)) * x = x / T(x,y). [hyper(525,a,1200,a),flip(a)]. 1203 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(293,a,1200,a),flip(a)]. 1204 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(285,a,150,a(flip),b,1200,a),flip(a)]. 1205 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(128,a,1200,a)]. 1206 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(123,a,150,a(flip),b,1200,a)]. 1207 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(549,a,1200,a(flip)),flip(a)]. 1209 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(116(a,1),1200(a,2,1))]. 1210 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(118(a,1),1200(a,1,1,2)),flip(a)]. 1211 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(128,a,1202,a)]. 1213 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1211(a,1),923(a,1,1)),flip(a)]. 1214 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1201(a,2),225(a,2)),flip(a)]. 1216 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1060(a,2),1203(a,1,1))]. 1218 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1205(a,1),981(a,1,1)),flip(a)]. 1220 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(667(a,1),1218(a,1,1,2))]. 1221 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1216(a,1),1004(a,1,2)),flip(a)]. 1222 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(135,a,1221,a),flip(a)]. 1223 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(66,a,1060,a(flip),b,1222,a),flip(a)]. 1224 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(221(a,1),1209(a,1,1))]. 1225 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(224,a,1224,a,b,116,a(flip))]. 1226 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(123,a,81,a(flip),b,1224,a)]. 1229 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(118(a,1),1210(a,1,2))]. 1230 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(208(a,1),1210(a,1,2)),flip(a)]. 1231 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(550,a,1229,a)]. 1232 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(525,a,1229,a),flip(a)]. 1233 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(123,a,150,a(flip),b,1229,a)]. 1234 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(224,a,1232,a,b,15,a),flip(a)]. 1235 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1232(a,1),225(a,2)),flip(a)]. 1236 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(285,a,886,a(flip),b,1226,a),flip(a)]. 1237 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1234(a,1),1113(a,1,1))]. 1238 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(384,a,939,a),flip(a)]. 1239 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(222(a,1),1238(a,1,2)),flip(a)]. 1240 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(552,a,1239,a)]. 1241 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(551,a,1239,a),flip(a)]. 1242 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(380,a,1239,a),flip(a)]. 1243 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(303,a,1239,a),flip(a)]. 1244 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(128,a,1239,a)]. 1245 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1239,a)]. 1246 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1239,a),flip(a)]. 1247 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(122,a,1239,a(flip),b,96,a)]. 1248 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1239(a,1),216(a,1,2))]. 1249 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(128,a,1242,a)]. 1250 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1242(a,1),607(a,1,1,2)),flip(a)]. 1251 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(827(a,1),1242(a,1,1)),flip(a)]. 1252 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1246(a,1),21(a,2,1)),flip(a)]. 1253 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1246(a,1),881(a,1,2,1,2))]. 1254 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1249(a,1,1))]. 1255 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(128,a,1241,a)]. 1259 (x * (y * z)) \ ((x * y) * ((((x * y) \ (x * (y * z))) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(19(a,2),971(a,2,1))]. 1260 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(128,a,972,a)]. 1261 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(13(a,1),972(a,2,2,1,2))]. 1262 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(128,a,1261,a),flip(a)]. 1263 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(122,a,116,a(flip),b,1261,a),flip(a)]. 1264 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(325(a,1),1261(a,1,2)),flip(a)]. 1265 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1110(a,2),1261(a,1,2)),flip(a)]. 1266 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(285,a,396,a,b,1263,a)]. 1267 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(122,a,396,a,b,1263,a),flip(a)]. 1268 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(122,a,1265,a,b,xx),flip(a)]. 1269 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(66,a,897,a(flip),b,1265,a)]. 1270 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(14(a,1),1265(a,1,2,1)),flip(a)]. 1271 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(21(a,2),1265(a,2,2,1,2,2))]. 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(23(a,2),1265(a,2,2,1,2,2))]. 1276 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(203(a,2),1267(a,1,1,1))]. 1277 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1267(a,2),689(a,1))]. 1278 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(16(a,1),1268(a,1,1,2))]. 1279 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(27(a,2),1268(a,1,1,2,2))]. 1280 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(90(a,1),1268(a,2,2,2,1))]. 1281 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [hyper(124,a,1276,a,b,358,a),flip(a)]. 1282 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1276(a,1),905(a,1,1))]. 1283 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(17(a,1),1269(a,1,1,1)),flip(a)]. 1284 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(406(a,1),1270(a,1,2,1,2))]. 1285 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(744(a,1),1280(a,2,2))]. 1286 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(12(a,1),974(a,2,1,1,1))]. 1287 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(417(a,1),974(a,1,1))]. 1288 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(285,a,417,a(flip),b,1286,a),flip(a)]. 1289 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1288(a,1,1))]. 1290 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(325(a,1),1289(a,1,1))]. 1291 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1110(a,2),1289(a,1,1))]. 1292 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(135,a,1291,a),flip(a)]. 1293 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(16(a,1),1292(a,1,1,2))]. 1294 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(25(a,2),1292(a,1,1,2,2))]. 1295 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1050(a,1),1292(a,2,1,2))]. 1296 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(285,a,414,a(flip),b,1290,a),flip(a)]. 1297 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(118(a,1),1032(a,1,2)),flip(a)]. 1298 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(87(a,1),1297(a,1,2,1,1)),flip(a)]. 1299 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(14(a,1),1097(a,1,1)),flip(a)]. 1300 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(552,a,1299,a)]. 1301 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(380,a,1299,a),flip(a)]. 1302 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(122,a,152,a(flip),b,1299,a)]. 1303 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(135,a,1301,a)]. 1304 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(66,a,878,a,b,1301,a)]. 1306 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(691,a,1300,a),flip(a)]. 1308 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(66,a,182,a(flip),b,1098,a),flip(a)]. 1310 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(380,a,1308,a),flip(a)]. 1312 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(285,a,89,a(flip),b,1308,a),flip(a)]. 1313 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(122,a,152,a(flip),b,1308,a)]. 1314 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1308(a,1),21(a,2,1)),flip(a)]. 1315 (1 / (1 / x)) * K(x,1 / x) = x. [para(245(a,2),1312(a,1,2))]. 1316 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(66,a,1232,a(flip),b,1310,a)]. 1317 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(787,a,1170,a),flip(a)]. 1318 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(78(a,1),1172(a,2,2,1))]. 1319 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(27(a,2),1318(a,1,2,1)),flip(a)]. 1320 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(123,a,1182,a(flip),b,798,a)]. 1321 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(66,a,1038,a(flip),b,1183,a),flip(a)]. 1322 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(12(a,1),1183(a,2,1,1,2))]. 1323 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(15(a,1),1321(a,1,1,1,2)),flip(a)]. 1324 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1321(a,1),487(a,1,1))]. 1325 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(285,a,1223,a(flip),b,1324,a),flip(a)]. 1326 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(876,a,1322,a)]. 1327 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(90(a,1),1326(a,1,2,1,2))]. 1328 x \ y != ((z * (u \ 1)) / z) / (u \ 1) | x * (u * ((z * (u \ 1)) / z)) = y. [para(1327(a,1),578(a,2))]. 1329 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1199(a,2,1))]. 1330 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(14(a,1),1230(a,1,1,2)),flip(a)]. 1331 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(550,a,1330,a)]. 1332 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(123,a,150,a(flip),b,1330,a)]. 1333 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1045(a,1),1330(a,1,1)),flip(a)]. 1334 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(931(a,1),1332(a,1,1,2,1)),flip(a)]. 1335 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(293,a,1333,a),flip(a)]. 1336 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1015,a,1335,a)]. 1338 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(135,a,1336,a)]. 1340 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(66,a,1323,a,b,1338,a)]. 1341 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(14(a,1),1340(a,1,2,2,2)),flip(a)]. 1342 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(210(a,1),1260(a,1,2,2,1)),flip(a)]. 1343 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(680(a,1),1260(a,1,2,2,1)),flip(a)]. 1344 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(124,a,1110,a(flip),b,1279,a(flip))]. 1345 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [hyper(122,a,1283,a(flip),b,1265,a),flip(a)]. 1346 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1211(a,1),1345(a,1,1)),flip(a)]. 1347 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(185,a,1346,a)]. 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1347(a,1),118(a,1,1)),flip(a)]. 1350 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),1115(a,1,1,1))]. 1351 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(285,a,417,a(flip),b,1287,a),flip(a)]. 1352 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(123,a,417,a(flip),b,1287,a)]. 1353 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(587(a,1),1317(a,1,1))]. 1354 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(66,a,830,a(flip),b,1329,a)]. 1355 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(66,a,684,a(flip),b,1329,a),flip(a)]. 1356 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(224,a,1329,a(flip),b,830,a(flip)),flip(a)]. 1357 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(12(a,1),1329(a,1,2,1,2))]. 1359 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(27(a,2),1356(a,1,2,1,2)),flip(a)]. 1360 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(122,a,1359,a,b,xx)]. 1361 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(326(a,1),1359(a,1,1,2,1)),flip(a)]. 1362 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(14(a,1),1360(a,1,2,1,2,1)),flip(a)]. 1363 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1360(a,1),240(a,1,2)),flip(b)]. 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(66,a,830,a(flip),b,1357,a)]. 1365 T(x,x * T(x \ 1,y)) = x. [hyper(224,a,684,a(flip),b,1357,a(flip))]. 1366 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1357(a,1),1279(a,2,2))]. 1367 T(x,(x \ 1) * x) = x. [para(116(a,1),1365(a,1,2))]. 1369 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),731(a,1,1))]. 1370 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1365(a,1,2))]. 1371 T(x \ 1,x \ T(x,y)) = x \ 1. [para(883(a,1),1365(a,1,2))]. 1372 T(1 / x,T(x,y) / x) = 1 / x. [para(901(a,1),1365(a,1,2))]. 1373 R(x,x \ 1,x) = T(x,x \ 1). [para(1367(a,1),727(a,1,1))]. 1375 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1373(a,1),32(a,2,1))]. 1376 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(57,a,1371,a)]. 1377 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1372(a,1),425(a,1,1,2)),flip(a)]. 1378 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1370(a,1),727(a,1,1))]. 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1376(a,1),699(a,1,1)),flip(a)]. 1380 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(285,a,698,a,b,1379,a)]. 1382 T(K(x,y),x \ 1) = K(x,y). [para(21(a,2),1380(a,2,1)),flip(a)]. 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(57,a,1382,a)]. 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [hyper(124,a,1382,a(flip),b,27,a(flip)),flip(a)]. 1385 T(T(x \ 1,y),K(x,z)) = T(x \ 1,y). [para(1383(a,1),28(a,1,1)),flip(a)]. 1386 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1383(a,1),263(a,1,2))]. 1387 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),419(a,1,2)),flip(a)]. 1388 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(66,a,860,a(flip),b,1384,a),flip(a)]. 1390 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(116(a,1),1364(a,1,2)),flip(a)]. 1391 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1141(a,2),1364(a,1,2))]. 1392 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(264,a,1390,a)]. 1393 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(135,a,1390,a)]. 1394 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1136(a,1),1390(a,2,2,1,2)),flip(a)]. 1395 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1157(a,1),1393(a,1,1,2,1))]. 1396 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(285,a,27,a,b,1366,a)]. 1397 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(124,a,1366,a,b,xx),flip(a)]. 1399 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(285,a,1110,a(flip),b,1396,a)]. 1400 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(122,a,1396,a,b,1110,a(flip))]. 1401 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(325(a,1),1396(a,1,1)),flip(a)]. 1402 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(883(a,1),1396(a,1,1))]. 1403 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1281(a,2),1396(a,1,1)),flip(a)]. 1404 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(117(a,1),1403(a,1,1,2,2)),flip(a)]. 1405 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(285,a,15,a(flip),b,1387,a),flip(a)]. 1407 T(x,K(x \ 1,y)) = x. [hyper(134,a,1405,a)]. 1408 K(x \ 1,y) * x = x * K(x \ 1,y). [hyper(124,a,1407,a(flip),b,27,a(flip))]. 1410 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(263,a,1399,a),flip(a)]. 1411 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1371(a,1),1400(a,1,2,1,2)),flip(a)]. 1412 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(123,a,830,a(flip),b,1351,a)]. 1413 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(123,a,829,a(flip),b,1351,a),flip(a)]. 1414 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(123,a,116,a(flip),b,1351,a),flip(a)]. 1415 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1205(a,1),1352(a,1,1,2,1)),flip(a)]. 1416 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(15(a,1),1354(a,1,2,2,1,2,2))]. 1417 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(17(a,1),1354(a,1,2,2,1,2,2)),flip(a)]. 1418 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(326(a,1),1354(a,2,1,2,1))]. 1419 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1354(a,1,2,2,1,2)),flip(a)]. 1420 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(15(a,1),1411(a,2,2,1))]. 1422 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(188(a,1),1420(a,2,2))]. 1423 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(57,a,1422,a)]. 1425 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(58,a,1423,a)]. 1426 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(116(a,1),1417(a,1,1)),flip(a)]. 1427 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(838(a,1),1417(a,1,1)),flip(a)]. 1428 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1076(a,2),1417(a,1,1))]. 1429 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(66,a,830,a,b,1426,a)]. 1430 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(14(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1431 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(79(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1432 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1140(a,2),1426(a,1,2)),flip(a)]. 1433 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(209(a,1),1430(a,1,1,1,2)),flip(a)]. 1434 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(116(a,1),1433(a,1,2))]. 1435 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(225,a,1434,a)]. 1436 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(123,a,1435,a,b,xx)]. 1437 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(122,a,1435,a,b,271,a)]. 1438 x * (T((x \ y) * x,x) / x) = T(y,x). [hyper(124,a,1436,a,b,xx)]. 1440 x \ T(x * (y / x),x) = T(y,x) / x. [para(91(a,1),1436(a,1,1,1)),flip(a)]. 1442 x * (T(y * x,x) / x) = T(x * y,x). [para(14(a,1),1438(a,1,2,1,1,1))]. 1443 T(x * (y / x),x) = x * (T(y,x) / x). [para(91(a,1),1438(a,1,2,1,1)),flip(a)]. 1445 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(896(a,1),1442(a,1,2)),flip(a)]. 1447 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1150(a,1),1442(a,1,2,1,1))]. 1448 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(14(a,1),1437(a,1,2,1,1))]. 1449 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(285,a,1354,a(flip),b,1445,a),flip(a)]. 1450 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(85(a,1),1432(a,1,1,1,2)),flip(a)]. 1452 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(243(a,2),1450(a,2,1))]. 1453 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(14(a,1),1452(a,1,2,2)),flip(a)]. 1454 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(27(a,2),1452(a,1,2,2))]. 1455 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1453(a,1),216(a,1,2))]. 1456 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),1428(a,2,2,2,1,2))]. 1458 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(325(a,1),1456(a,2,2))]. 1460 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(788(a,1),1458(a,1,1,1))]. 1462 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(582(a,1),213(a,1,1))]. 1463 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(15(a,1),1462(a,1,1,2))]. 1464 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(123,a,575,a(flip),b,781,a)]. 1465 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(12(a,1),1464(a,1,1,1))]. 1466 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(17(a,1),1464(a,1,1,1)),flip(a)]. 1467 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1465(a,1),1114(a,1,1,2))]. 1468 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(124,a,810,a(flip),b,104,a),flip(a)]. 1469 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),816(a,1,2,1))]. 1470 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(357(a,1),964(a,1,2))]. 1471 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(185,a,1470,a)]. 1472 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(66,a,719,a(flip),b,1087,a),flip(a)]. 1473 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(87(a,1),1472(a,1,2)),flip(a)]. 1474 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(578,a,1473,a(flip))]. 1476 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(224,a,1474,a,b,15,a)]. 1478 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(357(a,1),1133(a,1,1)),flip(a)]. 1479 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(138,a,1478,a)]. 1481 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(285,a,14,a(flip),b,1479,a),flip(a)]. 1482 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(224,a,1479,a,b,15,a)]. 1483 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(14(a,1),1481(a,1,2,1))]. 1484 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1369(a,1,2)),flip(a)]. 1485 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1484(a,1,2)),flip(a)]. 1486 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1485(a,1),36(a,1,1)),flip(a)]. 1487 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1485(a,1),1168(a,1,1))]. 1488 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(15(a,1),716(a,2,1,1,2))]. 1489 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(285,a,417,a(flip),b,1488,a),flip(a)]. 1490 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(16(a,1),1489(a,1,1,1,2))]. 1491 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(861,a,1490,a)]. 1492 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(815,a,1039,a)]. 1493 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(798(a,1),1492(a,1,1))]. 1494 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1000(a,1),1493(a,1,1,2,1))]. 1495 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),941(a,1,1))]. 1496 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(285,a,587,a(flip),b,944,a),flip(a)]. 1497 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(796,a,945,a)]. 1498 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(815,a,1040,a)]. 1499 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1301(a,1),1498(a,1,1))]. 1500 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(135,a,1499,a)]. 1502 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(209(a,1),1499(a,1,1,2)),flip(a)]. 1503 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1500(a,1),912(a,1,3)),flip(a)]. 1504 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1093(a,1),391(a,1))]. 1505 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(90(a,1),1128(a,1,2)),flip(a)]. 1506 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(12(a,1),1505(a,2,1,1))]. 1507 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(128,a,1144,a)]. 1508 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(15(a,1),1145(a,2,2,1,2))]. 1509 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(308,a,1155,a),flip(a)]. 1510 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(128,a,1171,a)]. 1511 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(12(a,1),1173(a,2,1,1,1))]. 1512 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(285,a,593,a(flip),b,1511,a),flip(a)]. 1513 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(593(a,1),1512(a,1,1))]. 1514 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(135,a,1513,a),flip(a)]. 1515 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1514(a,1,1)),flip(a)]. 1516 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1049,a,1177,a)]. 1517 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1177(a,1,1))]. 1518 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1516(a,1),50(a,1)),flip(a)]. 1519 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1516(a,2),1493(a,1,1)),flip(a)]. 1520 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(128,a,1180,a)]. 1521 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(308,a,1248,a),flip(a)]. 1522 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1521(a,1),222(a,1,2))]. 1523 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(427,a,1522,a)]. 1524 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(87(a,1),1298(a,1,1,1)),flip(a)]. 1526 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1524(a,1),1065(a,1,2)),flip(a)]. 1527 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(285,a,223,a(flip),b,1319,a),flip(a)]. 1528 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(915(a,1),1527(a,1,2,1,2))]. 1529 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(231(a,1),1487(a,1,2))]. 1530 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(16(a,1),1496(a,1,1,1,1,1)),flip(a)]. 1531 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(587(a,1),1496(a,1,1))]. 1532 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(593(a,1),1497(a,2,1))]. 1533 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(13(a,1),1507(a,1,2,2,1,2)),flip(a)]. 1534 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(23(a,2),1533(a,1,1)),flip(a)]. 1535 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(13(a,1),1510(a,1,2,2,1,2)),flip(a)]. 1536 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(15(a,1),1520(a,1,2,2,1))]. 1537 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1536,a)]. 1538 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1536(a,1),434(a,1))]. 1539 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(285,a,1304,a(flip),b,1537,a),flip(a)]. 1540 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(87(a,1),1537(a,1,2,1)),flip(a)]. 1541 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(907(a,1),1537(a,1,2)),flip(a)]. 1542 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(954(a,1),1537(a,1,2)),flip(a)]. 1543 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1347(a,1),1537(a,1,2)),flip(a)]. 1544 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),1539(a,2,2,1))]. 1545 T(x,x / (x * (y \ x))) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,1516,a),flip(a)]. 1546 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1545(a,1,2))]. 1547 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(16(a,1),1546(a,2,2,2))]. 1548 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(419(a,2),1541(a,1,2,1))]. 1549 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(14(a,1),1530(a,1,2,1)),flip(a)]. 1550 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(587(a,1),1530(a,2,1))]. 1551 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(588(a,1),1549(a,1,1))]. 1552 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(550,a,1551,a)]. 1553 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(525,a,1551,a),flip(a)]. 1554 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(517,a,1551,a)]. 1555 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(128,a,1551,a)]. 1556 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(123,a,150,a(flip),b,1551,a)]. 1557 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(122,a,1551,a(flip),b,96,a)]. 1559 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1551(a,1),310(a,1,1))]. 1560 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(224,a,1553,a,b,15,a)]. 1562 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1553(a,1),355(a,1,1)),flip(a)]. 1563 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1554(a,1),297(a,1,2)),flip(b)]. 1564 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(178(a,1),1554(a,1,1,1)),flip(a)]. 1565 ((x * (y / z)) * z) \ ((x * y) * z) = L(z,y / z,x). [para(499(a,1),1554(a,1,1,1))]. 1567 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1555(a,1),981(a,1,1)),flip(a)]. 1568 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [para(1556(a,1),118(a,1,1))]. 1569 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1556(a,1,1)),flip(a)]. 1570 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1560(a,1),231(a,1,1))]. 1571 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(124,a,1567,a(flip),b,589,a)]. 1573 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(135,a,1569,a)]. 1574 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(128,a,1569,a),flip(a)]. 1575 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(123,a,460,a(flip),b,1569,a)]. 1577 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1569(a,1),308(a,1,2))]. 1578 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(17(a,1),1574(a,2,2,1,2)),flip(a)]. 1579 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(224,a,1571,a,b,15,a),flip(a)]. 1580 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(135,a,1571,a)]. 1581 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(123,a,151,a(flip),b,1571,a)]. 1583 a(1 / x,x / y,y) \ (((1 / x) * x) * y) = L(y,x / y,1 / x). [para(865(a,1),1565(a,1,1))]. 1584 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1562(a,2),47(a,1))]. 1585 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(123,a,938,a(flip),b,1531,a)]. 1586 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(85(a,1),1531(a,1,1,2,1,2)),flip(a)]. 1588 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(66,a,938,a(flip),b,1586,a)]. 1589 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(66,a,937,a(flip),b,1586,a)]. 1590 T(x,x * L(x \ 1,y,z)) = x. [hyper(224,a,823,a(flip),b,1586,a(flip))]. 1591 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(224,a,1586,a(flip),b,446,a(flip))]. 1593 K(x,x * L(x \ 1,y,z)) = 1. [hyper(58,a,1590,a)]. 1594 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(357(a,1),1590(a,1,2,2))]. 1595 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1080(a,1),1590(a,1,2))]. 1596 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1506(a,1),1590(a,1,2))]. 1597 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1242(a,2),1595(a,1,2))]. 1598 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1596(a,1),425(a,1,1,2)),flip(a)]. 1599 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(90(a,1),1594(a,1,2,2))]. 1600 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1594(a,1),667(a,1,2)),flip(a)]. 1601 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1597(a,1),727(a,1,1))]. 1602 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(57,a,1599,a)]. 1603 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(38,a,778,a,b,1600,a),flip(a)]. 1604 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(123,a,1508,a(flip),b,1588,a(flip)),flip(a)]. 1605 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1604(a,1,1)),flip(a)]. 1606 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(66,a,941,a(flip),b,1532,a)]. 1607 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(224,a,1532,a(flip),b,1171,a),flip(a)]. 1608 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(224,a,1532,a(flip),b,941,a(flip)),flip(a)]. 1609 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(122,a,1532,a(flip),b,1171,a),flip(a)]. 1610 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(12(a,1),1532(a,1,2,1,2))]. 1611 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1532(a,1,2,1)),flip(a)]. 1613 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(663(a,1),1532(a,1,2,1)),flip(a)]. 1614 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1611(a,1,1,2,1))]. 1616 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(525,a,1614,a),flip(a)]. 1617 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(517,a,1614,a)]. 1619 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(128,a,1614,a)]. 1620 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(123,a,150,a(flip),b,1614,a)]. 1621 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(123,a,88,a(flip),b,1614,a),flip(a)]. 1622 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(122,a,150,a(flip),b,1614,a)]. 1623 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(223(a,1),1614(a,1,1)),flip(a)]. 1624 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(828,a,1621,a)]. 1625 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(224,a,1621,a,b,15,a),flip(a)]. 1626 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1621(a,1),225(a,2)),flip(a)]. 1627 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1621(a,1),105(a,2,1))]. 1628 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1617(a,1),297(a,1,2)),flip(b)]. 1630 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1619(a,1),981(a,1,1)),flip(a)]. 1631 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1619(a,1),1329(a,1,2,1)),flip(a)]. 1632 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(66,a,837,a(flip),b,1630,a)]. 1633 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(124,a,1630,a(flip),b,589,a)]. 1634 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1630(a,1),223(a,1,2)),flip(a)]. 1635 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(796,a,1624,a)]. 1636 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(123,a,81,a(flip),b,1633,a)]. 1638 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(627,a,1636,a)]. 1639 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1625(a,1),656(a,1,1,2))]. 1640 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(27(a,2),1608(a,1,2,1,2)),flip(a)]. 1641 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(123,a,1640,a,b,593,a)]. 1642 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(122,a,1640,a,b,xx)]. 1643 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(188(a,1),1640(a,2,2,1,2))]. 1644 T(x,x * R(x \ 1,y,z)) = x. [hyper(57,a,1643,a)]. 1645 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1643(a,1),1443(a,2,2,1))]. 1646 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(90(a,1),1644(a,1,2,2,1))]. 1647 T(x,(y / (x * y)) * x) = x. [para(607(a,2),1644(a,1,2))]. 1648 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(595(a,1),1644(a,1,2))]. 1649 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1644(a,1,2))]. 1650 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1647(a,1),1026(a,1,1,1)),flip(a)]. 1651 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(57,a,1649,a)]. 1652 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1649(a,1),28(a,1,1)),flip(a)]. 1653 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1646(a,1),669(a,1,1,2))]. 1654 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1648(a,1),727(a,1,1))]. 1655 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1654(a,1),1169(a,1,1))]. 1656 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(14(a,1),1641(a,1,1,1,2,1)),flip(a)]. 1658 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(66,a,941,a(flip),b,1610,a)]. 1659 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(66,a,940,a(flip),b,1610,a)]. 1661 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(116(a,1),1623(a,1,1)),flip(a)]. 1662 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(285,a,118,a(flip),b,1632,a),flip(a)]. 1663 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(124,a,118,a(flip),b,1632,a)]. 1664 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(205(a,1),1663(a,1,1,2))]. 1665 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(285,a,12,a(flip),b,1664,a),flip(a)]. 1666 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(15(a,1),1665(a,1,1,2,2))]. 1667 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(66,a,938,a(flip),b,1550,a)]. 1668 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(66,a,823,a(flip),b,1550,a),flip(a)]. 1669 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(224,a,1550,a(flip),b,938,a(flip)),flip(a)]. 1671 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(27(a,2),1669(a,1,2,1,2)),flip(a)]. 1672 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(122,a,1671,a,b,xx)]. 1673 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(14(a,1),1672(a,1,2,1,2,1)),flip(a)]. 1674 a(1 / x,x / y,y) \ y = L(y,x / y,1 / x). [para(88(a,1),1583(a,1,2))]. 1675 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(1508(a,1),1585(a,1,1)),flip(a)]. 1676 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(14(a,1),1631(a,1,1,2,1))]. 1677 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(123,a,150,a(flip),b,1676,a)]. 1678 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(116(a,1),1677(a,1,1)),flip(a)]. 1679 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(224,a,1678,a,b,15,a),flip(a)]. 1681 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(601(a,1),1650(a,1,2))]. 1682 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(748(a,2),1675(a,1,2,1)),flip(a)]. 1683 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(585(a,1),1682(a,1,1)),flip(a)]. 1684 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(16(a,1),1683(a,1,1)),flip(a)]. 1685 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1684(a,1),118(a,1,1))]. 1686 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(285,a,1240,a(flip),b,1685,a),flip(a)]. 1687 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(27(a,2),1686(a,2,2))]. 1688 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(15(a,1),470(a,1,2,1))]. 1689 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1375(a,1),484(a,1,2,3))]. 1690 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(814(a,1),877(a,1,1))]. 1691 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1211(a,1),1690(a,2,2,1,2))]. 1692 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(32(a,2),1056(a,1,1,1))]. 1693 ((x \ ((x * y) / z)) * x) * z != u | x * (z * T(z \ y,x)) = u. [para(1429(a,1),1072(a,1))]. 1694 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(66,a,978,a(flip),b,1188,a),flip(a)]. 1695 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(242(a,1),1395(a,1,1))]. 1696 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(491(a,1),1494(a,2,2))]. 1697 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(12(a,1),1696(a,2,2,1))]. 1698 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(464(a,1),1692(a,1,1))]. 1699 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(355(a,1),1698(a,1,2))]. 1700 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1699(a,1),28(a,1,1)),flip(a)]. 1701 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1225(a,1),1700(a,1,1))]. 1702 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(17(a,1),1701(a,1,1)),flip(a)]. 1703 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1702(a,2,2))]. 1704 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(17(a,1),1703(a,1,1))]. 1705 T(x,x * (y \ 1)) = T(x,y \ x). [para(118(a,1),1704(a,1,2)),flip(a)]. 1706 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(746(a,1),1119(a,1,2,1))]. 1707 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(138,a,1706,a)]. 1708 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(66,a,1262,a(flip),b,1707,a),flip(a)]. 1709 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1653(a,1),1161(a,1,1))]. 1710 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(66,a,232,a(flip),b,1709,a)]. 1711 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1027(a,1),1184(a,2,2))]. 1712 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(21(a,2),1711(a,1,2,1)),flip(a)]. 1713 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(21(a,2),1271(a,1,2,1)),flip(a)]. 1714 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1110(a,1),1713(a,1,2))]. 1715 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(128,a,1714,a)]. 1716 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1594(a,1),1278(a,2,2,2))]. 1717 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(15(a,1),1295(a,2,1))]. 1718 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(128,a,1468,a)]. 1719 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1537(a,2),1468(a,1,2))]. 1720 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(13(a,1),1719(a,2,2,1,2,2))]. 1721 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(27(a,2),1720(a,1,2,2,1,2)),flip(a)]. 1722 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1029(a,1),1543(a,1,2,1))]. 1723 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1586(a,1),1589(a,1,2)),flip(a)]. 1724 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1080(a,1),1723(a,1,1)),flip(a)]. 1725 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1607(a,1,1))]. 1726 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1725(a,1,2,1,1))]. 1727 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(14(a,1),1726(a,2,1,2,1))]. 1728 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(600(a,1),1645(a,2,2))]. 1729 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(600(a,1),1728(a,1,1,2))]. 1730 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(205(a,1),1729(a,1,1,2))]. 1731 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(205(a,1),1730(a,2,2))]. 1732 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(66,a,1681,a,b,1731,a)]. 1733 T(x,x * (y / (x * y))) = x. [hyper(57,a,1731,a)]. 1734 T(x,x * ((x \ y) / y)) = x. [para(15(a,1),1733(a,1,2,2,2))]. 1735 T(x / y,(x / y) * (y / x)) = x / y. [para(17(a,1),1733(a,1,2,2,2))]. 1736 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1734(a,1),282(a,1,1)),flip(a)]. 1737 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1735(a,1),231(a,1,1)),flip(a)]. 1738 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(285,a,118,a(flip),b,1737,a),flip(a)]. 1739 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1738(a,1),1293(a,2,1,2))]. 1740 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1736(a,1),1293(a,2,1,2))]. 1741 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1610(a,1),1659(a,1,2)),flip(a)]. 1742 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),1741(a,1,1)),flip(a)]. 1743 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(823(a,1),1668(a,1,1))]. 1744 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(123,a,150,a(flip),b,1743,a)]. 1745 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(356(a,1),1743(a,1,1,2,2)),flip(a)]. 1746 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(356(a,1),1745(a,1,2,2)),flip(a)]. 1747 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(285,a,238,a(flip),b,1716,a),flip(a)]. 1749 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1747(a,1),1124(a,1,1)),flip(a)]. 1750 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(66,a,1482,a(flip),b,1749,a)]. 1751 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(391,a,1750,a)]. 1752 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(14(a,1),1750(a,1,1,2))]. 1753 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1751(a,1),1533(a,1,2)),flip(a)]. 1754 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(14(a,1),1752(a,2,2))]. 1755 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(185,a,1754,a)]. 1756 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(138,a,1754,a)]. 1757 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1755(a,1),1120(a,2,1,1,2)),flip(a)]. 1758 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(203(a,2),1756(a,1,1,1)),flip(a)]. 1759 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(123,a,203,a,b,1758,a(flip))]. 1760 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(13(a,1),1718(a,1,2,2,1,2,2)),flip(a)]. 1761 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(15(a,1),1739(a,2,1))]. 1762 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(285,a,85,a(flip),b,1761,a),flip(a)]. 1764 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(285,a,413,a(flip),b,750,a),flip(a)]. 1765 T(x,x * (y * T(y \ 1,x))) = x. [para(1764(a,1),258(a,1,2))]. 1766 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1764(a,1),1301(a,1,1)),flip(a)]. 1767 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1764(a,1),1327(a,1,2)),flip(a)]. 1768 T(x,x * K(y,x)) = x. [para(1266(a,2),1765(a,1,2,2))]. 1769 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1262(a,1),1765(a,1,2,2))]. 1770 T(x * K(y,x),x) = x * K(y,x). [hyper(57,a,1768,a)]. 1771 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1050(a,1),1769(a,1,2,2,2,2))]. 1772 T(x,x * (T(x,y) \ x)) = x. [para(15(a,1),1771(a,1,2,2,2))]. 1773 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1772(a,1),28(a,1,1)),flip(a)]. 1774 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(66,a,1019,a(flip),b,1773,a)]. 1775 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(185,a,1774,a)]. 1777 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1502(a,1),1774(a,1,1,2,1))]. 1778 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1214,a,1775,a)]. 1779 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(66,a,1201,a(flip),b,1775,a)]. 1780 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1775(a,2),670(a,1,2))]. 1781 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1778(a,1),417(a,1,1)),flip(a)]. 1782 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(411(a,1),794(a,1,1)),flip(a)]. 1783 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(66,a,1377,a(flip),b,911,a)]. 1785 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1783(a,1),638(a,1,1))]. 1786 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(66,a,232,a(flip),b,1785,a),flip(a)]. 1787 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1786(a,1),1541(a,1,2))]. 1788 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(973(a,1),1193(a,1,2))]. 1789 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(27(a,2),1788(a,1,2,1,1))]. 1790 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(66,a,415,a(flip),b,1789,a),flip(a)]. 1791 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1254(a,1,2,2))]. 1792 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(138,a,1791,a)]. 1793 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1792(a,1),878(a,1,2,1))]. 1794 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1792(a,1),1537(a,2,2,1)),flip(a)]. 1795 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(308,a,1455,a),flip(a)]. 1796 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(285,a,1502,a(flip),b,1777,a),flip(a)]. 1797 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1571(a,2),584(a,1,2))]. 1798 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(116(a,1),819(a,1,2,1,1)),flip(a)]. 1799 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(224,a,1610,a(flip),b,1798,a),flip(a)]. 1800 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(608,a,1799,a),flip(a)]. 1801 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1799(a,1,2,1,1)),flip(a)]. 1802 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(886(a,1),1800(a,2,1,2))]. 1803 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1378(a,1),1802(a,1,1,2)),flip(a)]. 1804 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(38,a,1410,a(flip),b,1803,a),flip(a)]. 1806 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1804(a,1),118(a,1,1))]. 1807 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1804(a,2),1425(a,1,2))]. 1808 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(66,a,1422,a(flip),b,1806,a),flip(a)]. 1810 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(15(a,1),1163(a,1,2,1)),flip(a)]. 1811 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(118(a,1),1810(a,1,1)),flip(a)]. 1812 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(118(a,1),1811(a,1,2)),flip(a)]. 1813 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(14(a,1),1812(a,1,1)),flip(a)]. 1814 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(14(a,1),1813(a,1,2)),flip(a)]. 1815 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(15(a,1),1253(a,1,2,1)),flip(a)]. 1816 L(x / y,z,u) \ T(x / y,y) = (y \ x) * (L(x / y,z,u) \ 1). [para(118(a,1),1815(a,1,1)),flip(a)]. 1817 (x \ y) * (L(y / x,z,u) \ 1) = L(y / x,z,u) \ (x \ y). [para(118(a,1),1816(a,1,2)),flip(a)]. 1818 L(x / (x / y),z,u) \ ((x / y) \ x) = y * (L(x / (x / y),z,u) \ 1). [hyper(66,a,182,a(flip),b,1817,a),flip(a)]. 1822 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(883(a,1),1391(a,2,1))]. 1823 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(37,a,272,a,b,1822,a),flip(a)]. 1824 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(15(a,1),1463(a,1,2,2)),flip(a)]. 1825 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(15(a,1),1824(a,1,3,2)),flip(a)]. 1827 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(224,a,1531,a,b,1469,a(flip))]. 1828 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(224,a,1550,a(flip),b,1469,a(flip)),flip(a)]. 1829 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(13(a,1),1469(a,1,2,1,2)),flip(a)]. 1830 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(224,a,1586,a(flip),b,1829,a),flip(a)]. 1831 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1830(a,1),46(a,1))]. 1832 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(203(a,1),1830(a,1,2)),flip(a)]. 1833 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(453(a,1),1830(a,2,1,2))]. 1834 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(903(a,1),1832(a,2,2,1))]. 1835 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1787(a,1),1834(a,1,1)),flip(a)]. 1836 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(15(a,1),1528(a,1,2,1)),flip(a)]. 1837 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(135,a,1836,a)]. 1839 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(66,a,927,a(flip),b,1837,a),flip(a)]. 1840 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(595(a,1),1609(a,2,2,1))]. 1841 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(207(a,1),1740(a,2,1))]. 1842 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(285,a,85,a(flip),b,1841,a),flip(a)]. 1844 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1842(a,1),1124(a,1,1)),flip(a)]. 1845 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(66,a,1476,a(flip),b,1844,a)]. 1846 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(90(a,1),1845(a,1,1,2,1))]. 1847 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(90(a,1),1846(a,2,2,1))]. 1848 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(138,a,1847,a)]. 1850 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1847(a,1),1762(a,1,1))]. 1851 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(16(a,1),1850(a,1,1,2))]. 1852 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(123,a,16,a(flip),b,1848,a),flip(a)]. 1853 K(1 / x,(y / (x * y)) * x) = 1. [para(16(a,1),1851(a,1,2,2))]. 1854 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(59,a,1853,a)]. 1855 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1504,a,1854,a)]. 1856 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(124,a,1854,a(flip),b,1093,a)]. 1857 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(205(a,2),1855(a,1,3))]. 1858 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1857(a,1),359(a,1,2))]. 1859 L(x \ 1,x,x \ 1) = 1 / x. [para(366(a,1),1857(a,1,3))]. 1860 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1859(a,1),30(a,2,1))]. 1861 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1859(a,1),35(a,1,1)),flip(a)]. 1862 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1859(a,1),359(a,1,2))]. 1863 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1859(a,1),1353(a,1,1,2)),flip(a)]. 1864 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1859(a,1),1588(a,2,1,2))]. 1865 T(1 / (1 / x),x \ 1) = x. [hyper(1235,a,1862,a)]. 1866 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(285,a,243,a,b,1862,a),flip(a)]. 1867 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1862(a,2),339(a,1))]. 1869 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1865(a,1),28(a,1,1)),flip(a)]. 1870 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1865(a,1),142(a,1,1)),flip(a)]. 1871 T(x,x \ 1) / x = K(x,x \ 1). [para(1865(a,1),1237(a,1,1)),flip(a)]. 1872 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(136,a,1866,a)]. 1873 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(66,a,1316,a(flip),b,1866,a)]. 1874 x * K(x \ 1,x) = 1 / (1 / x). [hyper(124,a,1866,a(flip),b,1316,a(flip))]. 1875 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1866(a,1),841(a,1,1))]. 1876 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(117(a,1),1871(a,1,1))]. 1877 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1872(a,1),103(a,1,1))]. 1878 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(66,a,358,a(flip),b,1873,a),flip(a)]. 1880 L(x,x \ 1,x) = 1 / (1 / x). [hyper(776,a,1874,a)]. 1881 K(x \ 1,x) * x = 1 / (1 / x). [hyper(66,a,1408,a,b,1874,a)]. 1885 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(1874(a,1),479(a,1,1,1))]. 1886 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1880(a,1),34(a,1,1)),flip(a)]. 1887 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1557(a,1,1,2,2))]. 1888 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(136,a,1876,a)]. 1889 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(124,a,1876,a(flip),b,1108,a(flip))]. 1890 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1881(a,1),328(a,1,1))]. 1892 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(66,a,1384,a,b,1889,a)]. 1893 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1892(a,1),499(a,1,1))]. 1894 T(x,1 / x) = T(x,x \ 1). [para(230(a,1),1869(a,1,1)),flip(a)]. 1895 T(x,1 / x) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1894,a),flip(a)]. 1896 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1894(a,1),425(a,1,1,2))]. 1897 T(x,x \ 1) / x = K(x,1 / x). [para(1894(a,1),737(a,1,1))]. 1898 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1894(a,1),736(a,2,1))]. 1899 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(87(a,1),1895(a,1,2))]. 1900 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1895(a,1),737(a,1,1))]. 1901 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1895(a,1),951(a,1,1,1))]. 1902 K(x,1 / x) = K(x,x \ 1). [hyper(66,a,1871,a(flip),b,1897,a),flip(a)]. 1903 K(x,x \ 1) = x * (1 / x). [hyper(402,a,1902,a),flip(a)]. 1904 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(66,a,626,a,b,1902,a)]. 1905 x \ K(x,x \ 1) = 1 / x. [hyper(122,a,1902,a(flip),b,245,a(flip))]. 1906 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(87(a,1),1902(a,1,2)),flip(a)]. 1908 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1902(a,1),1062(a,1,2))]. 1909 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1902(a,1),1315(a,1,2))]. 1910 (x \ 1) * K(x,1 / x) = 1 / x. [para(1902(a,2),1889(a,1,2))]. 1911 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(124,a,1903,a,b,1753,a),flip(a)]. 1912 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [hyper(124,a,1903,a,b,1244,a)]. 1913 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [hyper(124,a,1903,a,b,176,a)]. 1914 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(66,a,401,a,b,1903,a)]. 1916 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1903(a,2),100(a,1,1))]. 1917 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1903(a,2),106(a,1,2,2))]. 1918 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1903(a,2),445(a,1,1))]. 1919 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1903(a,2),981(a,1,1,2,1))]. 1920 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),830(a,1,1))]. 1921 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1903(a,2),1245(a,1,2))]. 1922 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1903(a,2),1746(a,1,1,2))]. 1923 x * (1 / x) != y | K(x,x \ 1) = y. [para(1905(a,1),240(a,1,2)),flip(b)]. 1926 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(285,a,284,a,b,1899,a)]. 1927 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(117(a,2),1899(a,2,1)),flip(a)]. 1928 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(90(a,1),1900(a,1,1,1)),flip(a)]. 1929 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [hyper(124,a,1909,a(flip),b,176,a)]. 1930 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1909(a,1),113(a,2,2))]. 1931 (1 / x) / K(x,1 / x) = x \ 1. [hyper(135,a,1910,a)]. 1933 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1927(a,1),359(a,1,2,1))]. 1934 R(1 / x,x,1 / x) = x \ 1. [hyper(623,a,1931,a)]. 1935 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1934(a,1),371(a,1,1)),flip(a)]. 1936 K(x,1 / x) != y | K(x,x \ 1) = y. [para(245(a,2),1923(a,1))]. 1937 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1926(a,1),1402(a,2,1,2,2))]. 1938 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1860(a,1),448(a,1,2))]. 1939 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1890(a,1),587(a,1,1,1)),flip(a)]. 1940 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1928(a,2),1867(a,1))]. 1941 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1935(a,1),176(a,1,1))]. 1942 K(x \ 1,x) * L(1 / x,y,z) != u | (x \ 1) * (x * L(x \ 1,y,z)) = u. [para(1861(a,1),764(a,1,2))]. 1943 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1886(a,1),1695(a,1,1))]. 1944 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1898(a,1),661(a,1,2))]. 1947 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1940,a,1902,a),flip(a)]. 1948 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(1902(a,1),1940(a,1))]. 1950 K(1 / x,x) != y | K(x \ 1,x) = y. [para(90(a,1),1948(a,1,2))]. 1951 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(1950,a,1916,a(flip)),flip(a)]. 1952 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1626,a,1858,a)]. 1953 T(1 / (1 / x),y / (x * y)) = x. [para(205(a,1),1952(a,1,2))]. 1954 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1952(a,1),1869(a,1,1)),flip(a)]. 1955 T(x,y / (x * y)) = T(x,x \ 1). [para(1953(a,1),1869(a,1,1)),flip(a)]. 1956 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1955,a),flip(a)]. 1957 T(x,(x \ y) / y) = T(x,x \ 1). [para(15(a,1),1955(a,1,2,2))]. 1958 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1955(a,1),1296(a,2,1))]. 1959 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(17(a,1),1956(a,1,2,2))]. 1960 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [hyper(124,a,1957,a(flip),b,27,a(flip))]. 1961 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1957(a,1),263(a,1,2))]. 1962 x \ T(x,x \ 1) = K(x,1 / x). [hyper(122,a,1954,a(flip),b,1547,a(flip))]. 1963 x * K(x,x \ 1) = T(x,x \ 1). [hyper(124,a,1902,a(flip),b,1962,a)]. 1964 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(66,a,278,a(flip),b,1962,a)]. 1965 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1963,a),flip(a)]. 1966 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(122,a,1955,a,b,1963,a)]. 1969 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1963(a,1),479(a,1,1,1))]. 1970 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(122,a,1964,a,b,245,a(flip))]. 1971 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(122,a,1964,a(flip),b,994,a),flip(a)]. 1972 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1964(a,2),1936(a,1))]. 1974 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [hyper(124,a,1959,a(flip),b,27,a(flip))]. 1975 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1959(a,1),418(a,1,1))]. 1976 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1896,a),flip(a)]. 1977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(90(a,1),1901(a,1,1,1,1)),flip(a)]. 1978 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1901(a,1),118(a,1,1))]. 1979 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1903(a,2),1922(a,2,2))]. 1980 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(209(a,1),1976(a,1,1)),flip(a)]. 1981 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(128,a,1979,a)]. 1982 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(123,a,150,a(flip),b,1979,a)]. 1983 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1981(a,1),981(a,1,1)),flip(a)]. 1984 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1982(a,1),118(a,1,1))]. 1985 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1982(a,1),630(a,1,1))]. 1986 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(16(a,1),1852(a,1,1)),flip(a)]. 1987 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1986(a,1),1121(a,1,1,2))]. 1989 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(285,a,1020,a(flip),b,1971,a),flip(a)]. 1990 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(37,a,628,a(flip),b,1975,a(flip))]. 1992 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(209(a,1),1980(a,1,1)),flip(a)]. 1993 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1992(a,1),1213(a,1,1))]. 1994 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1993(a,1),1207(a,1,1,1))]. 1995 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1526,a,b,1989,a)]. 1996 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1903(a,2),1863(a,2,1))]. 1997 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1996(a,1),1864(a,1,2))]. 1998 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1903(a,2),1997(a,2,1))]. 1999 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(14(a,1),1998(a,1,2,2)),flip(a)]. 2000 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(27(a,2),1998(a,1,2,2))]. 2001 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1998(a,1),46(a,1))]. 2002 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(285,a,1402,a,b,1937,a),flip(a)]. 2003 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2002(a,1),699(a,1,1)),flip(a)]. 2004 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [hyper(124,a,1938,a(flip),b,583,a)]. 2005 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(876,a,1994,a)]. 2006 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [hyper(124,a,2005,a(flip),b,1516,a)]. 2007 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1000(a,1),2005(a,1,2,1))]. 2008 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2007(a,1),1697(a,1,1))]. 2009 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(237,a,2008,a),flip(a)]. 2012 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(66,a,2006,a,b,2009,a)]. 2013 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2007(a,2),2012(a,1,2))]. 2014 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(285,a,686,a(flip),b,1919,a),flip(a)]. 2015 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(285,a,1903,a,b,1941,a),flip(a)]. 2016 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(66,a,625,a(flip),b,1987,a),flip(a)]. 2018 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(136,a,2016,a)]. 2020 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(285,a,699,a(flip),b,2003,a),flip(a)]. 2021 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(21(a,2),2020(a,2,1))]. 2022 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(21(a,2),2021(a,1,1))]. 2023 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1856(a,1),2015(a,1,2))]. 2024 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(138,a,2023,a),flip(a)]. 2026 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(979,a,1877,a(flip))]. 2027 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(2026(a,2),46(a,1))]. 2028 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(14(a,1),1757(a,1,1,1))]. 2029 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(224,a,2028,a,b,15,a)]. 2030 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(135,a,2028,a)]. 2033 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(285,a,413,a(flip),b,751,a),flip(a)]. 2034 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(903(a,1),2033(a,2,2))]. 2035 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(66,a,1303,a,b,2034,a)]. 2036 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2034(a,1),1302(a,1,1)),flip(a)]. 2037 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2034(a,1),2035(a,1,1,2))]. 2038 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(14(a,1),2037(a,1,1))]. 2040 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(815,a,879,a),flip(a)]. 2041 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [para(12(a,1),2040(a,1,2,1,2,2))]. 2042 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(17(a,1),2040(a,1,2,1,2,2)),flip(a)]. 2043 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(798(a,1),2040(a,2,1))]. 2044 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [hyper(800,a,2041,a)]. 2045 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(798(a,1),2041(a,2,1))]. 2046 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(112(a,1),2044(a,1,2))]. 2047 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(66,a,1178,a(flip),b,2045,a)]. 2048 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(66,a,1177,a(flip),b,2045,a),flip(a)]. 2049 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(224,a,2045,a(flip),b,1721,a(flip))]. 2052 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(285,a,1537,a(flip),b,2049,a)]. 2053 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1326(a,1),2048(a,1,1)),flip(a)]. 2054 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(15(a,1),2052(a,2,1,2,1))]. 2055 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(419(a,2),2052(a,2,1,2,1)),flip(a)]. 2056 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1000(a,1),2054(a,1,2,1))]. 2057 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1903(a,2),2056(a,2,1))]. 2058 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2057(a,1),2013(a,1,2))]. 2059 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2058(a,1),46(a,1))]. 2060 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(293,a,2042,a),flip(a)]. 2061 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2042(a,1),293(a,1))]. 2062 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(66,a,1179,a(flip),b,2060,a)]. 2063 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(66,a,1043,a(flip),b,2060,a),flip(a)]. 2064 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(224,a,2063,a,b,15,a)]. 2066 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(334(a,2),2062(a,2,1,2,1)),flip(a)]. 2067 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2045(a,1),2062(a,1,2)),flip(a)]. 2068 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1043(a,1),2061(a,1))]. 2070 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(293,a,2043,a),flip(a)]. 2071 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(66,a,1179,a(flip),b,2043,a)]. 2072 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(15(a,1),2071(a,1,2,2,1)),flip(a)]. 2073 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2072(a,2,2,2,1))]. 2074 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2045(a,1),2047(a,1,2)),flip(a)]. 2075 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1537(a,2),2074(a,1,1))]. 2076 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1326(a,1),2053(a,1,2)),flip(a)]. 2077 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(135,a,2076,a)]. 2078 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2077(a,1),813(a,1,1))]. 2079 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(66,a,487,a(flip),b,2078,a),flip(a)]. 2080 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2079(a,1),638(a,1,1))]. 2081 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(630,a,2080,a),flip(a)]. 2082 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(285,a,21,a,b,2081,a)]. 2083 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(21(a,2),2082(a,2,1,2)),flip(a)]. 2084 T(1 / x,K(y,x)) = 1 / x. [hyper(250,a,2083,a)]. 2085 K(x,y) * (1 / y) = (1 / y) * K(x,y). [hyper(136,a,2083,a)]. 2086 x / (1 / (1 / x)) = K(x,1 / x). [para(1315(a,1),2083(a,1,1))]. 2087 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [hyper(254,a,2084,a)]. 2088 K(1 / x,K(y,x)) = 1. [hyper(58,a,2084,a)]. 2089 K(x,K(y,x \ 1)) = 1. [para(87(a,1),2088(a,1,1))]. 2090 T(x,K(y,x \ 1)) = x. [hyper(59,a,2089,a)]. 2091 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2090(a,1),222(a,1,2,1)),flip(a)]. 2092 x / (1 / (1 / x)) = x * (1 / x). [hyper(285,a,245,a(flip),b,2086,a),flip(a)]. 2093 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(136,a,2086,a)]. 2094 L(x,1 / x,x) = 1 / (1 / x). [hyper(554,a,2092,a)]. 2095 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2094(a,1),30(a,2,1))]. 2096 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1902(a,1),2093(a,1,1))]. 2097 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(128,a,2096,a)]. 2098 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2096(a,1),103(a,1,1))]. 2099 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2087(a,1),784(a,1,1,1))]. 2100 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [hyper(124,a,2095,a(flip),b,936,a)]. 2101 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(66,a,1912,a(flip),b,2091,a),flip(a)]. 2102 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2091(a,1),46(a,1)),flip(a)]. 2103 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(308,a,2099,a)]. 2104 T(K(x,y),y \ 1) = K(x,y). [para(366(a,1),2103(a,1,2))]. 2105 T(x \ 1,K(y,x)) = x \ 1. [hyper(57,a,2104,a)]. 2106 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2105(a,1),1399(a,1,1)),flip(a)]. 2107 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1902(a,1),2100(a,1,1))]. 2108 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2001,a,2101,a)]. 2109 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2097(a,2),2107(a,1,2,1))]. 2110 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(285,a,1977,a(flip),b,2108,a),flip(a)]. 2111 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2109(a,1),925(a,1,1))]. 2112 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1951(a,1),2111(a,1,2))]. 2113 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1951(a,1),2112(a,2,1,2))]. 2114 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1874(a,1),2113(a,2,1))]. 2116 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(66,a,1245,a(flip),b,966,a)]. 2117 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [hyper(124,a,966,a(flip),b,358,a(flip))]. 2118 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(2117(a,1),46(a,1)),flip(a)]. 2119 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(66,a,846,a(flip),b,970,a),flip(a)]. 2120 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2119(a,1),818(a,1,2))]. 2121 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(684(a,1),1419(a,1,1)),flip(a)]. 2122 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(745(a,1),1780(a,1,1))]. 2123 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1027(a,1),2122(a,1,1))]. 2124 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1775(a,1),2123(a,1,2))]. 2125 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(66,a,30,a,b,2124,a)]. 2126 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1772(a,1),2125(a,1,1))]. 2127 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(66,a,1027,a,b,2126,a)]. 2128 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2126(a,1),1712(a,1,2))]. 2129 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(66,a,1781,a(flip),b,2127,a),flip(a)]. 2130 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(285,a,472,a(flip),b,1939,a),flip(a)]. 2131 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(66,a,938,a(flip),b,2130,a)]. 2132 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1873(a,1),2131(a,1,2,2,1,2))]. 2133 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(329(a,1),2132(a,1,2,2,1))]. 2134 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(222(a,1),2133(a,1,2)),flip(a)]. 2135 T(x,L(x \ 1,y,z) * x) = x. [hyper(225,a,2134,a)]. 2136 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(357(a,1),2135(a,1,2,1))]. 2137 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(90(a,1),2136(a,1,2,1))]. 2138 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2137(a,1),727(a,1,1))]. 2139 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2138(a,1),1169(a,1,1))]. 2140 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1602(a,1),2139(a,1,2))]. 2141 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(386,a,2140,a)]. 2142 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1625(a,1),2141(a,1,2,1)),flip(a)]. 2143 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(231(a,1),2142(a,2,2))]. 2144 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1625(a,1),2143(a,1,2))]. 2145 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(683(a,1),2116(a,1,2)),flip(a)]. 2146 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2104(a,1),1361(a,1,2,1,2))]. 2147 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(326(a,1),2146(a,1,2,1)),flip(a)]. 2148 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(57,a,2147,a)]. 2149 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(285,a,90,a(flip),b,2148,a),flip(a)]. 2150 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(90(a,1),2149(a,1,1))]. 2151 T(x,x * T(1 / x,y)) = x. [para(90(a,1),2150(a,1,2,1))]. 2152 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(57,a,2151,a)]. 2154 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,1529,a,b,2152,a)]. 2155 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(27(a,2),1412(a,1,1,2,2,1,2)),flip(a)]. 2156 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1651(a,1),1447(a,1,2,1))]. 2157 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1156(a,1),2156(a,1,2)),flip(a)]. 2158 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2157(a,1),1655(a,1,2))]. 2159 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(386,a,2158,a)]. 2160 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(66,a,32,a,b,2159,a)]. 2161 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(285,a,32,a,b,2160,a),flip(a)]. 2162 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2144(a,2),2161(a,1,1))]. 2163 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(84(a,1),1449(a,1,1)),flip(a)]. 2164 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(116(a,1),2163(a,1,1))]. 2166 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(14(a,1),2164(a,1,1,1)),flip(a)]. 2167 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2164(a,1),47(a,1))]. 2168 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(87(a,1),2164(a,1,2)),flip(a)]. 2169 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2166(a,2),47(a,1))]. 2170 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(87(a,1),2168(a,1,1,2)),flip(a)]. 2172 T(((x \ 1) \ y) * (x \ 1),x) = x \ T(y * x,x \ 1). [hyper(224,a,2170,a,b,15,a)]. 2174 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(915(a,1),2170(a,1,1)),flip(a)]. 2175 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(931(a,1),2174(a,1,1)),flip(a)]. 2176 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(118(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(630,a,2176,a),flip(a)]. 2178 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(14(a,1),2177(a,1,1,2)),flip(a)]. 2179 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [hyper(138,a,2178,a)]. 2180 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [hyper(124,a,182,a(flip),b,2178,a),flip(a)]. 2181 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(14(a,1),2179(a,1,2,1)),flip(a)]. 2182 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(97(a,1),2179(a,1,2,1)),flip(a)]. 2183 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2179(a,1),429(a,1,2))]. 2184 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [hyper(124,a,2181,a(flip),b,27,a(flip)),flip(a)]. 2185 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(285,a,242,a(flip),b,2184,a),flip(a)]. 2186 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(123,a,242,a(flip),b,2184,a)]. 2187 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(17(a,1),2186(a,1,1,1)),flip(a)]. 2188 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(247(a,1),2186(a,1,1,1))]. 2189 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(66,a,508,a(flip),b,2188,a),flip(a)]. 2190 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(2189(a,2),47(a,1))]. 2191 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1080(a,1),1724(a,1,2,1)),flip(a)]. 2192 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2191,a),flip(a)]. 2193 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2192(a,1),46(a,1))]. 2194 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),1742(a,1,2,1)),flip(a)]. 2195 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2194,a),flip(a)]. 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1764(a,1),1766(a,1,2)),flip(a)]. 2197 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(122,a,14,a(flip),b,2196,a)]. 2199 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1281(a,2),2197(a,1,1,2))]. 2200 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1281(a,2),2199(a,1,2))]. 2201 K(x,y) / (y \ 1) = y * K(x,y). [hyper(185,a,2200,a)]. 2202 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(138,a,2200,a)]. 2203 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2200(a,1),300(a,1,2))]. 2204 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2201(a,1),841(a,1,1)),flip(a)]. 2205 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2202(a,1),2121(a,1,1))]. 2206 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(285,a,244,a(flip),b,1767,a),flip(a)]. 2207 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1764(a,1),2206(a,1,1)),flip(a)]. 2208 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1266(a,2),2207(a,1,1)),flip(a)]. 2209 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1266(a,2),2208(a,1,1,2)),flip(a)]. 2210 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1887(a,1,2,2))]. 2211 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),1920(a,1,2,1,1))]. 2212 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2034(a,1),2036(a,1,2,1)),flip(a)]. 2213 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(17(a,1),2070(a,2,2,1,2,1))]. 2214 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(135,a,2213,a)]. 2215 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(12(a,1),2214(a,1,1,2,1,2,2)),flip(a)]. 2216 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2105(a,1),2106(a,2,2,1,1))]. 2217 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(285,a,883,a(flip),b,2216,a),flip(a)]. 2219 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(883(a,1),2217(a,1,1))]. 2220 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(57,a,2219,a)]. 2221 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2219(a,1),699(a,1,1)),flip(a)]. 2222 K(K(x,y),y \ T(y,z)) = 1. [hyper(58,a,2220,a)]. 2223 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1502(a,1),2222(a,1,2,2))]. 2224 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(27(a,2),2223(a,1,2))]. 2225 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(285,a,698,a,b,2221,a),flip(a)]. 2227 T(K(x,y),K(z,x)) = K(x,y). [para(21(a,2),2225(a,1,1))]. 2228 T(K(x,y),K(y,z)) = K(x,y). [hyper(57,a,2227,a)]. 2229 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(124,a,2227,a(flip),b,27,a(flip)),flip(a)]. 2230 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(2227(a,1),52(a,1)),flip(a)]. 2232 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2227(a,1),263(a,1,2))]. 2233 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2227(a,1),222(a,1,2,1)),flip(a)]. 2234 x \ y != K(z,u) * K(u,w) | x * (K(u,w) * K(z,u)) = y. [para(2227(a,1),533(a,2,2))]. 2235 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(2228(a,1),52(a,1)),flip(a)]. 2236 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2228(a,1),263(a,1,2))]. 2237 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2228(a,1),221(a,1,2,1)),flip(a)]. 2238 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2228(a,1),222(a,1,2,1)),flip(a)]. 2239 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2228(a,1),223(a,1,2,1)),flip(a)]. 2240 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2228(a,1),383(a,1,2,1))]. 2241 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2228(a,1),384(a,1,2,1))]. 2243 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1947(a,1),2110(a,1,1))]. 2244 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(949(a,1),2243(a,1,2))]. 2245 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(897(a,1),2211(a,2,2))]. 2246 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(285,a,1438,a(flip),b,2245,a),flip(a)]. 2247 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(688,a,2246,a),flip(a)]. 2248 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(124,a,2246,a(flip),b,845,a),flip(a)]. 2249 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(14(a,1),2246(a,1,2,1)),flip(a)]. 2251 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(118(a,1),2247(a,2,1))]. 2252 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2249(a,2),2000(a,1,2))]. 2253 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1985,a,2251,a)]. 2254 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(124,a,2251,a(flip),b,1984,a(flip))]. 2255 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(37,a,1912,a(flip),b,2254,a),flip(a)]. 2256 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(14(a,1),2254(a,1,2,1)),flip(a)]. 2257 R(x,y,K(x,x \ 1)) = x. [hyper(475,a,2256,a)]. 2258 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2257(a,1),32(a,2,1))]. 2259 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2257(a,1,3))]. 2260 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(66,a,1983,a(flip),b,2258,a),flip(a)]. 2262 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1906(a,1),2260(a,1,2,2))]. 2263 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2024(a,2),2260(a,1,2)),flip(a)]. 2265 (1 / x) * (y * K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2259(a,1),262(a,1,1))]. 2266 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2263(a,1),214(a,1,2,1))]. 2267 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(263,a,2252,a)]. 2268 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2252(a,1),263(a,1))]. 2269 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2267,a)]. 2270 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2269(a,1,3))]. 2271 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2270(a,1),30(a,2,1))]. 2272 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(436(a,1),2248(a,1,1,1)),flip(a)]. 2273 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(436(a,1),2272(a,1,1)),flip(a)]. 2274 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2273(a,2),1454(a,1,2))]. 2275 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(263,a,2274,a)]. 2276 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2275,a)]. 2277 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2276(a,1),30(a,2,1))]. 2278 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(66,a,1795,a(flip),b,2277,a)]. 2280 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(285,a,471,a(flip),b,678,a),flip(a)]. 2281 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1072,a,2280,a)]. 2282 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(116(a,1),2281(a,1,2)),flip(a)]. 2283 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(66,a,1598,a(flip),b,959,a)]. 2285 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2283(a,1),798(a,1,1)),flip(a)]. 2286 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | x * L(x \ 1,L(x,y,z),1 / x) = u. [para(2285(a,2),787(a,1))]. 2287 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1072,a,1272,a),flip(a)]. 2288 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(684(a,1),2287(a,2,2))]. 2289 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2288,a)]. 2290 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2289,a)]. 2291 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(85(a,1),2289(a,2,1,2))]. 2292 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(883(a,1),2289(a,1,1))]. 2293 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(16(a,1),2292(a,2,1,2))]. 2294 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(408(a,1),2292(a,2,1,2))]. 2295 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2029(a,2),2294(a,1,1))]. 2296 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1329(a,1),1294(a,2,1))]. 2297 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1357(a,1),2296(a,2,1,1))]. 2298 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(285,a,25,a,b,2297,a)]. 2299 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2298,a)]. 2300 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(85(a,1),2298(a,2,1,2))]. 2301 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1159(a,1),2298(a,2,1,2))]. 2302 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(263,a,2299,a),flip(a)]. 2303 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2300(a,1),112(a,1,1))]. 2304 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(2286,a,1542,a)]. 2305 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(827(a,1),1251(a,1,2)),flip(a)]. 2306 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(27(a,2),1467(a,1,1))]. 2307 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2263(a,1),2306(a,2,2))]. 2308 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),1495(a,1,2,1,1))]. 2309 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1486(a,1),1639(a,1,1))]. 2310 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2162(a,1),2309(a,1,1))]. 2311 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1625(a,1),2310(a,2,1))]. 2313 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2311(a,2),629(a,1))]. 2314 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),1840(a,1,1))]. 2315 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),2314(a,1,2,1,1))]. 2316 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(285,a,1606,a(flip),b,2308,a),flip(a)]. 2317 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1318(a,1),2316(a,2,1))]. 2318 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(285,a,473,a(flip),b,782,a),flip(a)]. 2319 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1194,a,2318,a)]. 2320 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1373(a,1),2319(a,2,1,1))]. 2321 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(32(a,2),1343(a,2,2,2))]. 2322 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(591(a,1),2321(a,2,2))]. 2323 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(335(a,1),2322(a,2,2))]. 2324 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1804(a,1),1823(a,1,2,2)),flip(a)]. 2325 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(122,a,1807,a(flip),b,2324,a(flip)),flip(a)]. 2326 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(901(a,1),1875(a,1,2)),flip(a)]. 2327 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1866(a,1),2326(a,1,2,1,2))]. 2328 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(326(a,1),2327(a,1,2,1)),flip(a)]. 2329 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),23(a,2,1)),flip(a)]. 2330 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),1078(a,1,1))]. 2331 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(883(a,1),2204(a,2,2))]. 2332 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2201(a,1),2331(a,1,2,1,2))]. 2333 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(27(a,2),2332(a,1,2,1))]. 2334 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1590(a,1),2293(a,1,1,2)),flip(a)]. 2335 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(79(a,1),2334(a,2,1))]. 2336 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(285,a,345,a(flip),b,2335,a),flip(a)]. 2339 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(124,a,2336,a(flip),b,97,a),flip(a)]. 2340 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(285,a,13,a(flip),b,2339,a),flip(a)]. 2341 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(947(a,1),1143(a,1,1)),flip(a)]. 2342 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(66,a,574,a(flip),b,2341,a),flip(a)]. 2343 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(285,a,1281,a,b,1282,a),flip(a)]. 2344 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(203(a,1),2343(a,1,2,1))]. 2346 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2344(a,1),630(a,1,1))]. 2347 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1638(a,1),1544(a,1,2,1))]. 2348 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(16(a,1),2347(a,1,2)),flip(a)]. 2350 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(319(a,1),1691(a,1,1,1,2))]. 2351 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(90(a,1),2350(a,1,2)),flip(a)]. 2353 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(209(a,1),2351(a,1,2)),flip(a)]. 2354 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(209(a,1),2353(a,1,1)),flip(a)]. 2355 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(123,a,249,a(flip),b,2354,a),flip(a)]. 2356 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(627,a,2355,a)]. 2357 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2356(a,1),48(a,1))]. 2358 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(790(a,1),1793(a,2,1))]. 2359 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(285,a,2305,a(flip),b,2358,a),flip(a)]. 2360 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1471(a,1),1794(a,2,2,1))]. 2361 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(16(a,1),2360(a,2,2))]. 2362 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(124,a,2361,a(flip),b,2359,a(flip))]. 2364 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(222(a,1),1797(a,1,2,1))]. 2365 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1029(a,1),2055(a,2,2,1))]. 2366 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1548(a,1),2365(a,1,1)),flip(a)]. 2367 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(66,a,1722,a(flip),b,2366,a)]. 2368 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1936,a,2367,a)]. 2369 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(285,a,1835,a,b,2368,a)]. 2370 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2368(a,2),52(a,1)),flip(a)]. 2371 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(37,a,1903,a(flip),b,2369,a),flip(a)]. 2373 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(249(a,1),2371(a,1,2))]. 2374 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1236(a,1),2373(a,1,1))]. 2375 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(66,a,1808,a(flip),b,2374,a),flip(a)]. 2376 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(180,a,2375,a),flip(a)]. 2377 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(117(a,1),2375(a,1,2,1))]. 2378 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(324(a,1),2375(a,1,2,1)),flip(a)]. 2379 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(66,a,615,a(flip),b,2376,a)]. 2380 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(90(a,1),2377(a,1,2,1,1))]. 2381 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(185,a,2378,a)]. 2382 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(124,a,2379,a(flip),b,27,a(flip))]. 2383 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(90(a,1),2379(a,1,1,1)),flip(a)]. 2384 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(118(a,1),2379(a,2,1,1))]. 2386 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(66,a,1874,a,b,2381,a)]. 2387 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(118(a,1),2381(a,1,2,2)),flip(a)]. 2388 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(687,a,2382,a)]. 2389 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(118(a,1),2382(a,1,2,1,1)),flip(a)]. 2391 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(285,a,1965,a,b,2388,a),flip(a)]. 2392 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2388,a),flip(a)]. 2393 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2388(a,1),1009(a,1,2))]. 2394 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2059,a,2391,a)]. 2395 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2370,a,2394,a),flip(a)]. 2396 K(K(x,x \ 1),y) = 1. [hyper(58,a,2394,a)]. 2397 T(x,K(y,y \ 1)) = x. [hyper(57,a,2394,a)]. 2398 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(124,a,2394,a(flip),b,27,a(flip)),flip(a)]. 2399 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(122,a,2394,a(flip),b,2057,a)]. 2401 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2394(a,1),263(a,1,2))]. 2402 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2394(a,1),219(a,1,1,2))]. 2404 K(K(x \ 1,x),y) = 1. [para(1906(a,1),2396(a,1,1))]. 2405 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2397(a,1),263(a,1,2))]. 2407 T(x,K(y \ 1,y)) = x. [para(1906(a,1),2397(a,1,2))]. 2408 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(59,a,2404,a)]. 2409 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2169,a,2407,a),flip(a)]. 2411 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2407(a,1),227(a,1,2))]. 2412 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2407(a,1),263(a,1,2))]. 2413 x \ y != K(z \ 1,z) * u | x * (u * K(z \ 1,z)) = y. [para(2407(a,1),533(a,2,2))]. 2414 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(66,a,1401,a,b,2408,a)]. 2415 T((x \ 1) * x,y) = K(x \ 1,x). [para(243(a,1),2408(a,1,1))]. 2416 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2408(a,1),263(a,1,2))]. 2418 x \ y != z * K(u \ 1,u) | x * (K(u \ 1,u) * z) = y. [para(2408(a,1),533(a,2,2))]. 2420 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(122,a,2398,a(flip),b,446,a)]. 2421 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2398(a,2),462(a,1,2))]. 2422 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1942,a,2409,a),flip(a)]. 2423 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(764,a,2409,a),flip(a)]. 2424 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(285,a,1076,a(flip),b,2409,a),flip(a)]. 2425 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(124,a,2409,a,b,14,a)]. 2426 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(122,a,481,a(flip),b,2409,a)]. 2427 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2409(a,1),103(a,1,1))]. 2428 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2409(a,2),462(a,1,2))]. 2429 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2409(a,2),327(a,1,1))]. 2430 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2409(a,1),2273(a,1,1))]. 2431 T(x,y * K(x \ 1,x)) = T(x,y). [para(2409(a,1),2278(a,1,2))]. 2432 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2408(a,2),2409(a,2,2)),flip(a)]. 2434 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2414(a,1),1115(a,1,1))]. 2435 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(254,a,2384,a)]. 2436 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [hyper(124,a,2387,a(flip),b,27,a(flip)),flip(a)]. 2437 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(612,a,2393,a)]. 2443 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(37,a,628,a(flip),b,2389,a(flip))]. 2445 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(113(a,2),2389(a,1,1,1,1))]. 2446 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1570(a,1),2424(a,2,2))]. 2447 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2424(a,1),2412(a,1))]. 2449 x * (K(y \ 1,y) * z) != x * u | z * K(y \ 1,y) = u. [para(2425(a,2),46(a,1))]. 2450 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(2425(a,2),647(a,1,2))]. 2451 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(14(a,1),2435(a,1,1,2,1,1))]. 2452 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2435(a,1),236(a,1,1)),flip(b)]. 2453 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(105(a,2),2436(a,2,2,2,2))]. 2454 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(14(a,1),2443(a,2,1,1))]. 2455 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2454,a),flip(a)]. 2457 T(x,y / (y * x)) = T(x,x \ 1). [hyper(66,a,1990,a(flip),b,2455,a)]. 2459 T(1 / (1 / x),y / (y * x)) = x. [hyper(1870,a,2457,a(flip))]. 2460 T(1 / (1 / x),(y / x) / y) = x. [para(17(a,1),2459(a,1,2,2))]. 2461 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2460(a,1),210(a,1,2,2))]. 2462 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1744(a,2),2461(a,1,2))]. 2465 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(768,a,2429,a)]. 2467 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2422(a,1),1460(a,1,1))]. 2468 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(66,a,1743,a(flip),b,2467,a)]. 2470 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(243(a,2),2468(a,1,1))]. 2471 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(66,a,2244,a(flip),b,2470,a),flip(a)]. 2472 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(285,a,1759,a(flip),b,2471,a),flip(a)]. 2473 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(38,a,2467,a,b,2472,a(flip))]. 2474 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(285,a,203,a(flip),b,2473,a)]. 2475 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(203(a,1),2474(a,2,2,2)),flip(a)]. 2476 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(285,a,13,a,b,2475,a),flip(a)]. 2477 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(128,a,2475,a)]. 2478 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2477(a,1),268(a,1,1))]. 2479 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(2118,a,2476,a(flip))]. 2480 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(122,a,2479,a(flip),b,2145,a(flip)),flip(a)]. 2482 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(285,a,117,a,b,2480,a),flip(a)]. 2483 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(123,a,2480,a(flip),b,2028,a),flip(a)]. 2484 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(15(a,1),2480(a,1,2,1))]. 2485 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(203(a,2),2480(a,1,2))]. 2486 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(96(a,1),2482(a,1,2,1))]. 2487 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(285,a,1876,a(flip),b,2483,a),flip(a)]. 2490 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(15(a,1),2487(a,1,2,1)),flip(a)]. 2491 K(x,y \ (y / x)) = K(x,x \ 1). [para(17(a,1),2487(a,1,2,1))]. 2492 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1033(a,2),2487(a,1,2,1))]. 2493 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2487(a,2),1951(a,1,1))]. 2494 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2487(a,2),2394(a,1,1))]. 2495 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(66,a,626,a,b,2491,a)]. 2497 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(90(a,1),2484(a,1,2))]. 2498 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2484(a,1),263(a,1,2))]. 2499 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2484(a,1),897(a,1,2)),flip(a)]. 2500 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2484(a,1),1264(a,1,2)),flip(a)]. 2501 T((x \ y) \ 1,x \ y) = T(x \ y,y \ x) \ 1. [para(2484(a,2),1899(a,2,1))]. 2502 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2494(a,1),2295(a,1,1))]. 2503 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(122,a,2490,a(flip),b,1903,a(flip))]. 2504 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(14(a,1),2490(a,2,2))]. 2505 T(x,K(y \ z,z \ y)) = x. [para(2490(a,1),2397(a,1,2))]. 2506 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2169,a,2505,a),flip(a)]. 2507 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(2497(a,1),1417(a,1,1,2))]. 2508 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(21(a,2),2486(a,1,2)),flip(a)]. 2509 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(632,a,2508,a),flip(a)]. 2510 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(66,a,2228,a(flip),b,2509,a),flip(a)]. 2515 1 / (1 / K(x,y)) = K(x,y). [para(2510(a,1),181(a,1,2,2))]. 2516 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2502(a,2),401(a,1,1)),flip(a)]. 2518 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(746(a,1),2492(a,1,2))]. 2519 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2490,a(flip),b,2518,a),flip(a)]. 2520 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(355(a,1),2478(a,2,1))]. 2521 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(66,a,2504,a(flip),b,2516,a)]. 2522 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),2507(a,2,2,2,1,2))]. 2524 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(325(a,1),2522(a,2,2))]. 2525 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2426(a,1),2465(a,1,1,2))]. 2526 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(66,a,2436,a(flip),b,2453,a),flip(a)]. 2527 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(285,a,411,a(flip),b,1613,a),flip(a)]. 2528 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(223(a,1),2527(a,2,2))]. 2529 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2262(a,1),2004(a,1,2,2,2)),flip(a)]. 2530 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2397(a,1),2420(a,1,2,1,1))]. 2531 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(16(a,1),1415(a,1,1))]. 2532 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(16(a,1),2531(a,1,2,1,1)),flip(a)]. 2533 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(14(a,1),2532(a,2,2,1))]. 2534 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(17(a,1),2533(a,1,1,1))]. 2535 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1801(a,2,1))]. 2536 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(285,a,1158,a(flip),b,2535,a),flip(a)]. 2538 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),2536(a,1,1))]. 2539 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(57,a,2538,a)]. 2540 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1732(a,1),2266(a,1,2))]. 2541 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(721,a,2540,a),flip(a)]. 2542 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(66,a,2307,a(flip),b,2541,a)]. 2543 K(x,y / (x * y)) = K(x,x \ 1). [hyper(66,a,1966,a(flip),b,2542,a),flip(a)]. 2545 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(17(a,1),2543(a,1,2,2)),flip(a)]. 2546 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(16(a,1),2545(a,2,2))]. 2547 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1196(a,1,2,1,1))]. 2548 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1194,a,2547,a),flip(a)]. 2549 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(820(a,1),2548(a,2,2))]. 2550 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(445,a,2549,a),flip(a)]. 2551 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(66,a,1250,a(flip),b,2550,a),flip(a)]. 2552 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1601(a,1),2551(a,1,1,2)),flip(a)]. 2553 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(285,a,2291,a(flip),b,2552,a),flip(a)]. 2554 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(38,a,243,a(flip),b,2553,a),flip(a)]. 2555 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(90(a,1),2554(a,1,1))]. 2556 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(949(a,1),2555(a,1,2))]. 2557 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(136,a,2556,a)]. 2558 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(38,a,2340,a,b,2557,a)]. 2560 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1506(a,1),2558(a,1,1)),flip(a)]. 2561 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(285,a,2062,a(flip),b,2066,a),flip(a)]. 2562 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(886(a,1),1689(a,1,1,1))]. 2563 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(243(a,2),2562(a,1,2,2))]. 2564 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1927(a,1),2301(a,1,1,2,1))]. 2565 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1652(a,1),2564(a,1,1,2)),flip(a)]. 2567 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(25(a,2),1515(a,2,2,1,1))]. 2568 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1532(a,1),2567(a,1,1))]. 2569 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1610(a,1),2568(a,1,1,1))]. 2570 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(479,a,2569,a),flip(a)]. 2572 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(66,a,1160,a(flip),b,2570,a),flip(a)]. 2573 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1654(a,1),2572(a,1,1,2)),flip(a)]. 2574 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(38,a,2302,a(flip),b,2573,a),flip(a)]. 2576 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1517(a,1,2,1,2,1))]. 2577 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(66,a,1178,a(flip),b,2576,a),flip(a)]. 2578 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1177(a,1),2577(a,2,2))]. 2579 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2578,a),flip(a)]. 2580 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(15(a,1),2579(a,1,2,1)),flip(a)]. 2581 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,1903,a,b,2580,a),flip(a)]. 2582 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1542(a,1),2581(a,1,1))]. 2583 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(23(a,2),1534(a,2,2,1,1))]. 2584 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(937(a,1),2583(a,1,2))]. 2585 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(823(a,1),2584(a,1,2,2))]. 2586 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2585,a),flip(a)]. 2588 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(958(a,1),2586(a,1,2))]. 2589 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1880(a,1),2586(a,2,1,2))]. 2591 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(13(a,1),2588(a,1,2,2)),flip(a)]. 2592 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2304(a,1),2591(a,1,1)),flip(a)]. 2593 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,2582,a(flip),b,2592,a),flip(a)]. 2594 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(37,a,1903,a(flip),b,2593,a),flip(a)]. 2595 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(66,a,2560,a,b,2594,a)]. 2596 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(185,a,2595,a),flip(a)]. 2597 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(87(a,1),2595(a,1,1,1,2)),flip(a)]. 2598 L(1 / (1 / x),y,z) \ ((1 / x) \ 1) = x * (1 / L(x,y,z)). [para(2595(a,1),1818(a,2,2))]. 2599 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(87(a,1),2596(a,1,1,2)),flip(a)]. 2600 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(451(a,1),2596(a,2,2,2))]. 2601 L(1 / (1 / ((x \ 1) \ y)),x \ 1,x) = 1 / (1 / (x * y)). [para(452(a,1),2596(a,2,2,2))]. 2602 L(1 / (1 / x),y / x,1 / y) = 1 / ((1 / y) * (y / x)). [para(707(a,1),2596(a,2,2))]. 2603 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2596(a,2),2526(a,1,2))]. 2604 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(180,a,2597,a)]. 2605 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(203(a,1),2599(a,1,2,2)),flip(a)]. 2606 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(357(a,1),2599(a,1,2,2)),flip(a)]. 2607 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(361(a,1),2599(a,1,2,2)),flip(a)]. 2608 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2599(a,1),1878(a,2,2))]. 2609 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(87(a,1),2605(a,1,1))]. 2610 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(87(a,1),2604(a,1,1,1,1)),flip(a)]. 2611 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(451(a,1),2610(a,2,1,1))]. 2612 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(453(a,1),2610(a,2,1,1))]. 2613 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(1899(a,2),2610(a,1,1))]. 2614 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,2362,a,b,2606,a)]. 2615 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,1603,a,b,2606,a)]. 2616 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(124,a,2607,a(flip),b,1917,a),flip(a)]. 2617 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2615(a,1),1911(a,1,2)),flip(a)]. 2618 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(37,a,1874,a,b,2614,a)]. 2619 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(285,a,625,a(flip),b,2618,a),flip(a)]. 2620 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(122,a,2618,a(flip),b,243,a(flip))]. 2621 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(78(a,1),2618(a,2,1))]. 2622 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2618(a,1),2500(a,1,2))]. 2623 T(x \ 1,y * K(x,x \ 1)) = T(x \ 1,y). [para(2621(a,1),2431(a,1,2,2))]. 2627 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2490(a,1),2617(a,1,2))]. 2628 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(66,a,2506,a,b,2627,a)]. 2629 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(66,a,2502,a,b,2619,a)]. 2630 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(285,a,2487,a(flip),b,2629,a),flip(a)]. 2631 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2629(a,1),2521(a,2,1)),flip(a)]. 2633 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1947(a,1),2630(a,1,1))]. 2634 K((x * y) \ x,y) = K(y \ 1,y). [hyper(66,a,2493,a(flip),b,2631,a),flip(a)]. 2636 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(116(a,1),2634(a,1,1,1)),flip(a)]. 2637 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(27(a,1),2636(a,2,2)),flip(a)]. 2638 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(744(a,1),2636(a,2,1,1))]. 2639 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(285,a,1947,a(flip),b,2633,a),flip(a)]. 2640 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2639(a,1),1106(a,1,2)),flip(a)]. 2641 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(123,a,16,a(flip),b,2640,a),flip(a)]. 2643 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(136,a,2641,a)]. 2644 ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). [para(2423(a,1),2641(a,1,1))]. 2645 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(66,a,1231,a,b,2643,a)]. 2646 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(16(a,1),2643(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(136,a,2645,a)]. 2648 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(66,a,153,a(flip),b,2645,a),flip(a)]. 2649 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2416,a,2646,a)]. 2650 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1105,a,2646,a)]. 2651 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2650(a,1,3))]. 2652 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(66,a,1930,a(flip),b,2651,a)]. 2653 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2651(a,1),1929(a,1,1)),flip(a)]. 2654 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2416,a,2648,a)]. 2656 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(285,a,886,a(flip),b,2649,a),flip(a)]. 2658 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(66,a,1982,a(flip),b,2652,a)]. 2659 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2401,a,2653,a)]. 2660 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(66,a,2616,a(flip),b,2658,a)]. 2661 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(122,a,2658,a(flip),b,2616,a(flip)),flip(a)]. 2662 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2656(a,1),2330(a,1,2)),flip(a)]. 2663 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(87(a,1),2660(a,1,2,2,2,2)),flip(a)]. 2664 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(180,a,2661,a)]. 2665 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(87(a,1),2661(a,2,2,2,2))]. 2666 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(14(a,1),2663(a,2,2,2,2))]. 2667 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(181(a,1),2664(a,1,1,2,2)),flip(a)]. 2668 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2609(a,2),2666(a,1,2))]. 2669 x / L(y,y \ 1,x) = x * (1 / y). [para(87(a,1),2668(a,2,2,2))]. 2671 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(554,a,2669,a)]. 2672 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2669(a,2),625(a,1,1,2))]. 2673 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(87(a,1),2671(a,1,2)),flip(a)]. 2674 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(117(a,2),2673(a,1,2))]. 2675 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2674(a,1),2613(a,2,1,1))]. 2676 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(66,a,2292,a,b,2672,a)]. 2677 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(66,a,2289,a,b,2672,a)]. 2678 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(66,a,106,a,b,2677,a)]. 2679 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(90(a,1),2677(a,1,2))]. 2680 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(180,a,2667,a)]. 2682 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(66,a,2497,a,b,2680,a)]. 2683 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(124,a,2497,a,b,2680,a(flip))]. 2684 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [hyper(124,a,2682,a(flip),b,27,a(flip))]. 2685 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2447,a,2683,a)]. 2686 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(66,a,2424,a,b,2683,a)]. 2687 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(16(a,1),2685(a,1,1)),flip(a)]. 2688 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2685(a,1),1458(a,1,1))]. 2689 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(136,a,2687,a)]. 2690 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2376(a,2),2687(a,1,2))]. 2691 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(16(a,1),2688(a,1,1)),flip(a)]. 2692 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(117(a,2),2688(a,1,1,2))]. 2693 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(611(a,1),2688(a,1,1)),flip(a)]. 2694 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(924(a,1),2688(a,1,1)),flip(a)]. 2695 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2689(a,1),47(a,1)),flip(a)]. 2697 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2409(a,2),2689(a,1,1))]. 2698 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2646(a,1),2689(a,1,1))]. 2699 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(38,a,481,a,b,2691,a),flip(a)]. 2700 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2691(a,1),2647(a,1,1)),flip(a)]. 2701 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(135,a,2692,a)]. 2702 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2416,a,2693,a)]. 2703 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2342(a,1),2693(a,1,1))]. 2704 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2697(a,1),47(a,1)),flip(a)]. 2706 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(482,a,2699,a)]. 2707 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2699(a,1),202(a,1,2)),flip(a)]. 2708 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1959(a,2),2699(a,1,2))]. 2709 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(66,a,2699,a(flip),b,2698,a),flip(a)]. 2710 R(x,y \ 1,y) / y = x * (1 / y). [hyper(123,a,2699,a(flip),b,2698,a(flip))]. 2712 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2709,a)]. 2713 R(x / (1 / y),y \ 1,y) = x * y. [hyper(293,a,2709,a),flip(a)]. 2714 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2709(a,1),206(a,1,2))]. 2716 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2085(a,1),2709(a,1,1))]. 2717 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2647(a,1),2709(a,1,1)),flip(a)]. 2718 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(285,a,2706,a,b,2712,a)]. 2719 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(66,a,572,a(flip),b,2712,a),flip(a)]. 2720 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(87(a,1),2712(a,1,2)),flip(a)]. 2721 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2713(a,1),1662(a,1,1,2))]. 2722 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2714(a,1),2525(a,1,1))]. 2723 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1899(a,2),2718(a,1,3))]. 2724 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1974(a,1),2700(a,1,1))]. 2725 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(285,a,2714,a(flip),b,2707,a),flip(a)]. 2726 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(87(a,1),2676(a,2,1)),flip(a)]. 2728 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(886(a,2),2726(a,2,1))]. 2729 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2726(a,2),1084(a,2,2))]. 2730 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1431(a,1),2717(a,2,1))]. 2731 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2637(a,1),2622(a,1,2)),flip(a)]. 2732 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(122,a,2600,a(flip),b,244,a)]. 2733 (x \ 1) * (1 / (1 / ((x \ 1) \ y))) = x \ (1 / (1 / (x * y))). [hyper(122,a,2601,a(flip),b,242,a),flip(a)]. 2734 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(122,a,2611,a(flip),b,244,a)]. 2735 L(x / (y \ 1),y \ 1,y) = L(x,y,y \ 1) / (1 / y). [hyper(66,a,791,a(flip),b,2644,a)]. 2736 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(901(a,1),2679(a,1,1))]. 2737 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(66,a,792,a(flip),b,2736,a),flip(a)]. 2738 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(136,a,2737,a(flip))]. 2739 T(K(1 / (1 / x),y),x) = K(x,y). [para(2737(a,2),208(a,1,1))]. 2740 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(249(a,1),2739(a,1,1,1,2))]. 2741 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2739(a,1),919(a,2,2))]. 2742 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(66,a,1694,a,b,2738,a)]. 2743 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(87(a,1),2740(a,1,1,1))]. 2745 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(66,a,2022,a(flip),b,2743,a),flip(a)]. 2746 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(117(a,1),2745(a,1,1)),flip(a)]. 2747 x * K((x \ 1) \ 1,y) = K(x,y) * x. [hyper(124,a,2746,a(flip),b,27,a(flip))]. 2748 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(90(a,1),2747(a,1,2,1,1)),flip(a)]. 2749 L(1 / (1 / x),y / x,1 / y) \ ((1 / x) \ 1) = x * ((1 / y) * (y / x)). [para(707(a,1),2598(a,2,2))]. 2750 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2675(a,1),1933(a,1,2))]. 2751 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2750(a,1),1404(a,2,1,2))]. 2752 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(87(a,1),2723(a,2,2))]. 2754 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(117(a,2),2752(a,1,2))]. 2755 x * K(x \ (y \ 1),(y \ 1) \ x) = y \ (1 / (1 / (y * x))). [hyper(66,a,2627,a,b,2733,a)]. 2756 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(285,a,2622,a,b,2734,a),flip(a)]. 2757 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2742(a,1),2741(a,1,1,2))]. 2758 (1 / x) \ K(x,y) = K(x,y) * x. [para(14(a,1),2757(a,1,1)),flip(a)]. 2761 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2484(a,2),2612(a,1,1))]. 2762 K(x,y) / (x \ 1) = x * K(x,y). [para(2728(a,2),2729(a,1,1))]. 2763 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(136,a,2762,a)]. 2764 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(285,a,625,a(flip),b,2751,a),flip(a)]. 2766 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(117(a,1),2764(a,2,1))]. 2767 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(203(a,1),2766(a,1,2,1))]. 2769 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2767(a,1),2346(a,1))]. 2770 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2713(a,1),2721(a,1,2,2))]. 2771 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(66,a,695,a(flip),b,2761,a)]. 2772 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(66,a,566,a(flip),b,2761,a)]. 2773 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(78(a,1),2772(a,2,1,1))]. 2774 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(19(a,2),2771(a,1,1))]. 2775 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(285,a,1848,a(flip),b,2724,a),flip(a)]. 2777 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(123,a,87,a(flip),b,2775,a),flip(a)]. 2778 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(87(a,1),2777(a,1,2)),flip(a)]. 2780 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2778(a,1),1466(a,1,2,1,2))]. 2781 (1 / ((1 / x) * (x / y))) \ ((1 / y) \ 1) = y * ((1 / x) * (x / y)). [para(2602(a,1),2749(a,1,1))]. 2782 (1 / ((1 / x) * (x / y))) \ y = y * ((1 / x) * (x / y)). [para(90(a,1),2781(a,1,2))]. 2783 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(265,a,2603,a),flip(a)]. 2784 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(15(a,1),2783(a,1,2,2,2,2))]. 2786 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2662(a,2),888(a,1))]. 2787 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(23(a,2),2774(a,1,2,2))]. 2788 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(19(a,2),2787(a,2,1,1))]. 2789 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1036(a,1),2638(a,2,1))]. 2790 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2519,a(flip),b,2789,a),flip(a)]. 2791 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(14(a,1),2780(a,1,2,1)),flip(a)]. 2792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(25(a,2),1605(a,2,2,1,1))]. 2793 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1550(a,1),2792(a,1,1))]. 2794 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1586(a,1),2793(a,1,1,1))]. 2795 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(479,a,2794,a),flip(a)]. 2796 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(693(a,1),2795(a,2,1,2))]. 2797 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1627(a,1),2795(a,1,2))]. 2798 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1162(a,1),2796(a,1,2))]. 2799 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(186(a,1),2798(a,2,1,2))]. 2800 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1903(a,2),2799(a,2,1))]. 2801 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(13(a,1),2797(a,1,2,2)),flip(a)]. 2802 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(112(a,1),2046(a,1,1,1,2,2)),flip(a)]. 2803 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(285,a,798,a(flip),b,2802,a),flip(a)]. 2804 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(285,a,2043,a(flip),b,2803,a),flip(a)]. 2805 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(798(a,1),2804(a,1,1))]. 2806 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2045(a,1),2805(a,2,1))]. 2807 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(38,a,112,a,b,2806,a),flip(a)]. 2808 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1538,a,2807,a),flip(a)]. 2809 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(15(a,1),2807(a,1,2,1)),flip(a)]. 2810 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,1903,a,b,2809,a),flip(a)]. 2811 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1150(a,1),2810(a,1,1,2,1))]. 2812 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2791(a,1),1165(a,1,1,2))]. 2813 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(17(a,1),2812(a,1,1,2))]. 2815 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1157(a,1),2813(a,1,1)),flip(a)]. 2817 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(883(a,1),2205(a,2,1,2))]. 2818 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(901(a,1),1394(a,2,1))]. 2819 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(14(a,1),2818(a,1,2,1)),flip(a)]. 2820 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(285,a,826,a(flip),b,2819,a),flip(a)]. 2821 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2030(a,1),2820(a,1,1))]. 2822 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2487(a,1),2821(a,1,1))]. 2823 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2822,a(flip),b,2398,a(flip))]. 2825 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(66,a,2608,a,b,2823,a)]. 2827 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2825(a,1),1284(a,1,2)),flip(a)]. 2828 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2485(a,1),2827(a,1,2)),flip(a)]. 2830 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2401,a,2828,a)]. 2831 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(293,a,2828,a),flip(a)]. 2832 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(66,a,1979,a,b,2828,a)]. 2833 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(116(a,1),2828(a,1,1))]. 2835 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(285,a,280,a,b,2830,a),flip(a)]. 2836 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [para(17(a,1),2830(a,1,2)),flip(a)]. 2837 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(123,a,338,a(flip),b,2832,a),flip(a)]. 2838 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(38,a,2698,a(flip),b,2832,a),flip(a)]. 2839 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(38,a,2697,a(flip),b,2832,a),flip(a)]. 2840 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(38,a,2689,a(flip),b,2832,a),flip(a)]. 2841 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2704,a,2832,a(flip))]. 2842 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2695,a,2832,a(flip))]. 2844 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1888(a,2),2832(a,2,2))]. 2845 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2401,a,2839,a)]. 2846 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(38,a,2653,a,b,2839,a),flip(a)]. 2847 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(38,a,2398,a(flip),b,2839,a),flip(a)]. 2848 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(38,a,2024,a(flip),b,2839,a),flip(a)]. 2849 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2654(a,1),2839(a,1,1))]. 2850 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2401,a,2840,a)]. 2851 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(293,a,2840,a),flip(a)]. 2852 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(287,a,2840,a)]. 2853 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(38,a,2653,a,b,2840,a),flip(a)]. 2854 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(38,a,2398,a(flip),b,2840,a),flip(a)]. 2855 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2841(a,1),46(a,1)),flip(a)]. 2856 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2841(a,1),105(a,2,1))]. 2857 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(303,a,2845,a),flip(a)]. 2858 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2845(a,1),46(a,1)),flip(a)]. 2859 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2845(a,1),2449(a,1)),flip(a)]. 2860 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2649(a,1),2845(a,1,2))]. 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2654(a,1),2845(a,1,2))]. 2862 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2847(a,1),46(a,1)),flip(a)]. 2863 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2847(a,1),2411(a,1)),flip(a)]. 2864 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(66,a,2640,a,b,2851,a)]. 2865 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2854(a,1),113(a,2,1))]. 2866 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2854(a,1),2647(a,1,1)),flip(a)]. 2867 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2857(a,1),2317(a,1,2,1))]. 2868 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2268,a,2835,a)]. 2869 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(285,a,1960,a(flip),b,2835,a),flip(a)]. 2870 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2835(a,2),1961(a,1))]. 2871 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2836(a,1),2703(a,1,1,1))]. 2872 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2838(a,1),469(a,1,1))]. 2873 K(x / (y * x),y) = K(y \ 1,y). [hyper(38,a,2018,a,b,2848,a)]. 2874 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(66,a,2546,a,b,2873,a)]. 2875 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(17(a,1),2873(a,1,1,2)),flip(a)]. 2877 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(16(a,1),2875(a,2,1))]. 2878 L(x,K(x,x \ 1),y) = x. [hyper(445,a,2844,a)]. 2879 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2878(a,1,2))]. 2880 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2879(a,1),2529(a,1,1)),flip(a)]. 2883 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2874(a,1),1888(a,1,1))]. 2884 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(285,a,2543,a(flip),b,2877,a),flip(a)]. 2886 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2884(a,1),1958(a,1,1))]. 2887 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2405,a,2886,a)]. 2888 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2886,a),flip(a)]. 2889 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(123,a,2886,a(flip),b,1999,a(flip))]. 2890 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(242(a,1),2886(a,1,2))]. 2892 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2887,a),flip(a)]. 2893 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(303,a,2888,a),flip(a)]. 2894 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(66,a,2857,a,b,2888,a)]. 2895 K(x * y,(x * y) \ 1) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(96(a,1),2888(a,1,2))]. 2896 R(x,K(x,x \ 1),y) = x. [hyper(1969,a,2889,a)]. 2897 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [para(2889(a,1),269(a,1,1)),flip(a)]. 2899 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2896(a,1,2))]. 2900 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2899(a,1),2299(a,1,1)),flip(a)]. 2901 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(66,a,2256,a(flip),b,2892,a)]. 2903 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(2892(a,1),2623(a,1,2))]. 2905 ((x \ 1) \ 1) * (x \ y) = (y / x) * ((x \ 1) \ 1). [hyper(285,a,2836,a,b,2893,a),flip(a)]. 2906 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(122,a,2845,a(flip),b,2893,a),flip(a)]. 2907 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1995,a(flip),b,2893,a),flip(a)]. 2908 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2858,a,2897,a)]. 2909 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(117(a,1),2897(a,1,2,1))]. 2910 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(90(a,1),2901(a,2,1,1))]. 2911 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2839(a,1),2901(a,1,2)),flip(a)]. 2912 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [para(2838(a,1),2901(a,1,2)),flip(a)]. 2913 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(117(a,2),2906(a,2,1))]. 2914 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2621(a,1),2906(a,1,2,1))]. 2915 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(117(a,1),2908(a,2,1))]. 2916 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2908(a,1),2278(a,1,2))]. 2917 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(324(a,1),2916(a,1,2,1)),flip(a)]. 2918 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(122,a,90,a(flip),b,2909,a)]. 2919 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(642,a,2911,a)]. 2920 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(128,a,2911,a)]. 2921 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(122,a,2911,a(flip),b,2425,a(flip))]. 2922 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2686(a,1),2911(a,1,2))]. 2923 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(124,a,993,a(flip),b,2913,a)]. 2924 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2913(a,1),1790(a,1,2,2))]. 2925 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2409(a,1),2913(a,1,2))]. 2926 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(122,a,2915,a(flip),b,1140,a(flip)),flip(a)]. 2927 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2915(a,1),2697(a,1,1))]. 2929 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [hyper(124,a,2500,a(flip),b,2921,a)]. 2930 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(90(a,1),2926(a,2,2,1,1))]. 2932 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(87(a,1),2922(a,2,2))]. 2933 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(66,a,2848,a(flip),b,2883,a)]. 2934 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(205(a,2),2933(a,2,1,1)),flip(a)]. 2935 ((((x * y) / (R(z,x,y) * (x * y))) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2933(a,1),485(a,1,1))]. 2938 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1947(a,1),2910(a,1,2,2))]. 2939 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2265,a,2938,a)]. 2940 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(285,a,2407,a,b,2938,a)]. 2941 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(122,a,15,a(flip),b,2938,a),flip(a)]. 2942 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(66,a,2425,a,b,2938,a)]. 2944 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2648(a,1),2938(a,1,2))]. 2945 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2842(a,1),2938(a,1,2)),flip(a)]. 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2854(a,1),2938(a,1,2)),flip(a)]. 2947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2939,a)]. 2948 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2416,a,2939,a)]. 2949 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(513,a,2939,a),flip(a)]. 2950 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(38,a,2842,a,b,2939,a)]. 2951 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(38,a,2423,a,b,2939,a),flip(a)]. 2953 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(123,a,2939,a(flip),b,2409,a)]. 2954 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2939(a,1),2431(a,1,2)),flip(a)]. 2955 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2939(a,1),2411(a,2)),flip(b)]. 2956 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2939(a,1),2689(a,1,1))]. 2957 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2951,a)]. 2958 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(303,a,2951,a),flip(a)]. 2959 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(135,a,2951,a)]. 2960 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(128,a,2951,a)]. 2961 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(66,a,1082,a(flip),b,2951,a),flip(a)]. 2962 L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y. [para(17(a,1),2951(a,1,2)),flip(a)]. 2963 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(116(a,1),2951(a,1,2)),flip(a)]. 2964 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(242(a,1),2951(a,1,2)),flip(a)]. 2965 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(2951(a,1),204(a,1,1))]. 2966 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2951(a,1),273(a,1,1))]. 2967 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(1000(a,1),2951(a,1,2)),flip(a)]. 2968 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1246(a,1),2951(a,1,2)),flip(a)]. 2969 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(87(a,1),2957(a,1,3)),flip(a)]. 2970 L(x,1 / y,K(y \ 1,y)) = x. [hyper(2027,a,2958,a),flip(a)]. 2971 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2958(a,1),585(a,1,2))]. 2972 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2958(a,1),1830(a,2,1,2))]. 2973 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2970(a,1,3))]. 2974 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2973(a,1),2098(a,1,2)),flip(a)]. 2975 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2941,a)]. 2976 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(2416,a,2941,a)]. 2977 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(38,a,2842,a,b,2941,a)]. 2979 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2941(a,1),2647(a,1,1))]. 2980 K(x \ 1,x) * K(y \ (x \ 1),y) = (1 / x) \ ((y \ (x \ 1)) * y). [hyper(122,a,271,a(flip),b,2942,a),flip(a)]. 2982 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(285,a,1505,a(flip),b,2946,a),flip(a)]. 2983 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(552,a,2947,a)]. 2984 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(303,a,2947,a),flip(a)]. 2987 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2947(a,1),304(a,1,2)),flip(b)]. 2988 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2947(a,1),178(a,1,1,2))]. 2989 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2947(a,1),447(a,1,2,2))]. 2990 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(552,a,2948,a)]. 2991 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(303,a,2948,a),flip(a)]. 2992 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2948(a,1),25(a,2,2)),flip(a)]. 2993 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2948(a,1),501(a,1,1))]. 2994 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2948(a,1),442(a,1,1))]. 2995 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2948(a,1),2919(a,1,2))]. 2996 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1364(a,1),2953(a,1,2))]. 2997 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2859,a,2974,a)]. 2998 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2858,a,2974,a)]. 2999 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),2974(a,1,2))]. 3000 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2974(a,1),2866(a,1,1)),flip(a)]. 3001 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(122,a,2975,a(flip),b,2893,a)]. 3002 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1130(a,1),2975(a,1,2))]. 3003 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2381(a,1),2976(a,2,1))]. 3004 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(285,a,2325,a(flip),b,2983,a),flip(a)]. 3005 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [hyper(124,a,1181,a(flip),b,2990,a),flip(a)]. 3006 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2990(a,1),1418(a,1,2,2,1,2))]. 3007 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2618(a,1),2997(a,1,2))]. 3008 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(303,a,2998,a),flip(a)]. 3009 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(66,a,1453,a(flip),b,2998,a)]. 3010 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(123,a,2998,a(flip),b,1453,a(flip))]. 3012 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(285,a,2846,a(flip),b,3008,a),flip(a)]. 3013 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(122,a,15,a(flip),b,3009,a),flip(a)]. 3014 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(66,a,2425,a(flip),b,3009,a)]. 3015 R(x,K(x \ 1,x),y) = x. [hyper(1885,a,3010,a)]. 3017 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3015(a,1),471(a,1,1,1)),flip(a)]. 3018 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3013(a,1),2697(a,1,1)),flip(a)]. 3019 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2758(a,1),3013(a,1,2))]. 3020 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [hyper(285,a,2997,a,b,3014,a)]. 3021 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(285,a,2407,a,b,2944,a)]. 3022 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2203,a,2956,a),flip(a)]. 3023 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3000(a,1,1)),flip(a)]. 3024 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2379(a,2),3001(a,1,1))]. 3025 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(17(a,1),3012(a,1,2,2))]. 3026 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(27(a,2),3012(a,1,2))]. 3027 T(x,1 / (1 / y)) = T(x,y). [hyper(376,a,3026,a),flip(a)]. 3028 T(x,1 / y) = T(x,y \ 1). [para(87(a,1),3027(a,1,2,2))]. 3029 T(x,(y \ 1) \ 1) = T(x,y). [para(181(a,1),3027(a,1,2)),flip(a)]. 3031 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(66,a,725,a(flip),b,3028,a),flip(a)]. 3032 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(124,a,3028,a(flip),b,27,a(flip))]. 3033 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3028(a,1),923(a,2,1))]. 3034 T(x,T(y,y \ 1)) = T(x,y). [para(117(a,2),3029(a,1,2))]. 3035 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1899(a,2),3029(a,1,2))]. 3036 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2379(a,2),3029(a,1,2))]. 3037 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2383(a,1),3029(a,1,2)),flip(a)]. 3038 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2484(a,2),3029(a,1,2))]. 3041 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2934(a,1),3029(a,1,2)),flip(a)]. 3044 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(124,a,3034,a(flip),b,27,a(flip))]. 3045 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3034(a,1),614(a,1,2))]. 3046 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(78(a,2),3032(a,2,2))]. 3048 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3044(a,1),2565(a,2,1))]. 3049 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3045(a,2),543(a,2,1))]. 3050 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2984(a,1),3031(a,1,1,1))]. 3051 R(x,y,K(x \ 1,x)) = x. [hyper(475,a,3020,a)]. 3052 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1904(a,1),3051(a,1,3))]. 3053 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(3052(a,1),36(a,1,1)),flip(a)]. 3054 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(87(a,1),3033(a,1,1,2)),flip(a)]. 3055 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2874(a,1),2918(a,1,1))]. 3057 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2964(a,2),1827(a,1,1))]. 3058 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2933(a,2),3055(a,2,1)),flip(a)]. 3059 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(285,a,2894,a(flip),b,3058,a),flip(a)]. 3060 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(555,a,3059,a)]. 3061 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(285,a,281,a,b,3059,a),flip(a)]. 3062 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(185,a,3059,a),flip(a)]. 3063 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(90(a,1),3059(a,1,1,1))]. 3064 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(185,a,3061,a)]. 3065 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3062(a,2),118(a,1,1))]. 3066 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3060(a,2),3041(a,2,2)),flip(a)]. 3067 R(x,1 / x,y) \ y = (x \ 1) * y. [para(90(a,1),3063(a,2,1,1))]. 3068 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(555,a,3067,a),flip(a)]. 3069 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3068(a,1),1886(a,1,1))]. 3070 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(66,a,1886,a(flip),b,3069,a),flip(a)]. 3071 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(66,a,368,a(flip),b,3070,a),flip(a)]. 3072 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3071(a,2),99(a,1,2,2))]. 3073 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2395(a,1),2833(a,1,2))]. 3074 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(285,a,2382,a(flip),b,3073,a),flip(a)]. 3075 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(37,a,2929,a,b,2932,a),flip(a)]. 3077 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(66,a,2869,a(flip),b,3002,a),flip(a)]. 3078 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3077,a),flip(a)]. 3079 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3078(a,1),2811(a,1,1))]. 3080 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2907(a,1),3004(a,1,2))]. 3081 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2495(a,1),3007(a,1,2))]. 3082 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(445,a,3017,a)]. 3083 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2748(a,1),3019(a,1,2))]. 3084 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(66,a,2948,a(flip),b,3083,a)]. 3085 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3084(a,1),2763(a,1,1))]. 3086 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(99(a,2),3085(a,1,1,2))]. 3087 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(3002(a,1),2870(a,1))]. 3088 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(285,a,2995,a(flip),b,2890,a),flip(a)]. 3089 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1918,a,3088,a)]. 3090 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(87(a,1),3089(a,1,2)),flip(a)]. 3091 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(539,a,3090,a),flip(a)]. 3092 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(3090(a,1),2589(a,1,2))]. 3093 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2921(a,1),3091(a,1,1))]. 3094 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2949(a,2),3093(a,1,1))]. 3095 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2967(a,1),2972(a,1,2))]. 3096 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(13(a,1),3095(a,2,1,2))]. 3097 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1903(a,2),3096(a,2,1))]. 3098 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(122,a,2394,a(flip),b,3097,a)]. 3099 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2868(a,1),3050(a,1,1))]. 3100 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,32,a,b,3065,a)]. 3101 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2903(a,1),3100(a,1,1))]. 3102 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,980,a(flip),b,3101,a)]. 3103 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(90(a,1),3102(a,2,1,1,1))]. 3104 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(117(a,2),3102(a,2,1,1)),flip(a)]. 3105 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(285,a,2940,a,b,2880,a)]. 3107 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1906(a,1),3081(a,1,2))]. 3108 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3105(a,2),2678(a,1,2))]. 3109 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2271(a,1),2993(a,1,2))]. 3110 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3109(a,1),1397(a,2,2,1,2)),flip(a)]. 3112 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3021(a,1),3108(a,1,2))]. 3113 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2835(a,1),2867(a,1,2,1))]. 3114 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2416,a,2871,a)]. 3115 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(285,a,464,a,b,3023,a)]. 3116 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3112(a,1),3086(a,1,1,2))]. 3117 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(66,a,3085,a(flip),b,3116,a),flip(a)]. 3118 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(16(a,1),3117(a,1,2)),flip(a)]. 3119 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1233(a,1),3118(a,1,2))]. 3120 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2864(a,1),3119(a,1,2))]. 3121 K(x \ 1,K(x \ 1,x) * y) = K(x \ 1,y). [para(2839(a,1),3120(a,1,2)),flip(a)]. 3122 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2892(a,1),3120(a,1,2))]. 3124 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2968(a,1),3092(a,1,2))]. 3125 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(87(a,1),3124(a,2,1,2,2))]. 3127 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1903(a,2),3125(a,2,1))]. 3128 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2665(a,1),3107(a,2,1))]. 3129 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3128(a,1),2730(a,1,1))]. 3130 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2398(a,1),3114(a,1,2,1))]. 3131 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(207(a,1),3048(a,2,1))]. 3132 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(285,a,348,a(flip),b,3131,a),flip(a)]. 3135 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [hyper(124,a,3132,a(flip),b,97,a),flip(a)]. 3136 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(285,a,13,a(flip),b,3135,a),flip(a)]. 3137 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3136(a,1),294(a,1,1)),flip(b)]. 3138 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3137,a,2574,a)]. 3139 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(122,a,3138,a(flip),b,2195,a)]. 3140 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(90(a,1),3138(a,1,2))]. 3141 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1086(a,1),3140(a,1,1))]. 3142 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1635(a,1),3141(a,1,1)),flip(a)]. 3143 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(883(a,1),3129(a,2,1,2))]. 3144 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(66,a,2924,a(flip),b,2923,a)]. 3145 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1904(a,1),3003(a,1,1))]. 3147 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(901(a,1),2996(a,1,2,1))]. 3148 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(3006(a,1),3147(a,1,1))]. 3149 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(136,a,3148,a)]. 3150 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3149(a,1),2329(a,1,2))]. 3151 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(305,a,3150,a),flip(a)]. 3152 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2786,a,3151,a),flip(a)]. 3155 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [hyper(66,a,2395,a,b,3152,a)]. 3156 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3152(a,1),3074(a,1,2))]. 3157 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(37,a,2892,a,b,3156,a),flip(a)]. 3158 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(66,a,3155,a,b,3157,a)]. 3163 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(122,a,3158,a(flip),b,1903,a(flip))]. 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3158(a,1),3145(a,1,1))]. 3165 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1908,a,3163,a)]. 3166 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(66,a,2399,a(flip),b,3163,a)]. 3167 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(122,a,3163,a(flip),b,3098,a(flip))]. 3168 (T(x,y) \ x) \ x = T(x,y). [hyper(2357,a,3166,a)]. 3169 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(136,a,3166,a)]. 3170 x / T(x,y) = T(x,y) \ x. [hyper(185,a,3168,a)]. 3171 (T(x,y) \ x) * T(x,y) = x. [hyper(138,a,3168,a)]. 3175 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(66,a,1717,a,b,3170,a)]. 3176 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3170(a,1),1779(a,1,1))]. 3177 L(x,T(x,y) \ x,x) = x. [hyper(66,a,2129,a,b,3171,a)]. 3179 (x * y) * T(K(y,x),x) = y * x. [para(3177(a,1),2128(a,1,2)),flip(a)]. 3180 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(224,a,3169,a,b,1000,a)]. 3183 T(K(x,y),y) = K(x,y). [hyper(275,a,3179,a),flip(a)]. 3184 (x * K(y,x)) / x = K(y,x). [hyper(254,a,3183,a)]. 3185 T(x,K(y,x)) = x. [hyper(57,a,3183,a)]. 3186 K(x,y) * y = y * K(x,y). [hyper(124,a,3183,a(flip),b,27,a(flip)),flip(a)]. 3188 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3183(a,1),222(a,1,2,1)),flip(a)]. 3189 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3183(a,1),679(a,1,2,1))]. 3190 T(x,K(y,R(x,z,u))) = x. [hyper(148,a,3185,a)]. 3191 T(T(x,y),K(z,x)) = T(x,y). [para(3185(a,1),28(a,1,1)),flip(a)]. 3193 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3185(a,1),221(a,1,2,1)),flip(a)]. 3194 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3185(a,1),222(a,1,2,1)),flip(a)]. 3195 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3185(a,1),223(a,1,2,1)),flip(a)]. 3196 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3185(a,1),383(a,1,2,1))]. 3199 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3185(a,1),415(a,1,2,1,1)),flip(a)]. 3200 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3185(a,1),591(a,1,2,1,1)),flip(a)]. 3201 T(x,y * T(y \ 1,x)) = x. [para(1110(a,1),3185(a,1,2))]. 3202 T(x,y \ T(y,x)) = x. [para(1114(a,1),3185(a,1,2))]. 3203 T(x,x \ ((y * x) / y)) = x. [para(1285(a,1),3185(a,1,2))]. 3204 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3185(a,1),2282(a,1,1,1)),flip(a)]. 3205 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3185(a,1),2333(a,1,2,1)),flip(a)]. 3206 (x \ T(x,y)) * y = y * (x \ T(x,y)). [hyper(124,a,3202,a(flip),b,27,a(flip))]. 3207 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3190(a,1),28(a,1,1)),flip(a)]. 3208 L(K(x,y),y,1 / y) = K(x,y). [hyper(66,a,2209,a,b,3184,a)]. 3209 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(66,a,1185,a,b,3184,a)]. 3210 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3184(a,1),489(a,1,1)),flip(a)]. 3211 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3184(a,1),837(a,1,1,1)),flip(a)]. 3212 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [hyper(124,a,3186,a(flip),b,176,a)]. 3213 T(K(x,y),T(y,z)) = K(x,y). [hyper(57,a,3191,a)]. 3214 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3191(a,1),383(a,1,2,1))]. 3215 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(57,a,3201,a)]. 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3203(a,1),249(a,1,2))]. 3217 K(K(x,y),T(y,z)) = 1. [hyper(58,a,3213,a)]. 3219 K(x \ T(x,y),T(y,z)) = 1. [para(1114(a,1),3217(a,1,1))]. 3220 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(59,a,3219,a)]. 3221 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(123,a,3208,a(flip),b,244,a)]. 3222 (1 / x) \ K(y,x) = x * K(y,x). [hyper(122,a,3208,a(flip),b,244,a)]. 3223 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(66,a,2434,a,b,3180,a)]. 3224 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(39,a,172,a,b,3221,a),flip(a)]. 3226 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3165(a,1),3080(a,1,2))]. 3227 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3176(a,1),105(a,2,1)),flip(a)]. 3228 x * (((y * x) / y) / x) = (y * x) / y. [hyper(124,a,3216,a,b,xx)]. 3230 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(1328,a,3216,a(flip))]. 3231 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(795(a,1),3216(a,1,1)),flip(a)]. 3232 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(136,a,3223,a)]. 3235 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(339,a,3232,a)]. 3237 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3232(a,1),1100(a,1,2))]. 3238 K(T(x \ 1,y) \ 1,T(x \ 1,y)) = K(x,x \ 1). [hyper(285,a,2621,a(flip),b,3235,a),flip(a)]. 3239 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(66,a,2790,a(flip),b,3235,a),flip(a)]. 3240 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3235(a,1),2386(a,1,2))]. 3241 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3235(a,1),2690(a,2,2))]. 3242 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3235(a,1),2731(a,2,2))]. 3243 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3235(a,1),3082(a,1,2))]. 3244 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3243(a,1),2563(a,1,2)),flip(a)]. 3245 T(x,L(K(y,x),z,u)) = x. [hyper(225,a,3188,a)]. 3246 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(225,a,3194,a)]. 3247 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(3246(a,1),219(a,1,1,2))]. 3248 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3195(a,1),46(a,1)),flip(a)]. 3249 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3195(a,2),444(a,1,1,2))]. 3250 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3215(a,1),1392(a,1,2)),flip(a)]. 3251 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(66,a,3167,a(flip),b,3226,a),flip(a)]. 3252 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(66,a,2325,a,b,3251,a)]. 3253 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(124,a,3251,a(flip),b,2325,a)]. 3254 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(32(a,2),3251(a,1,1,2))]. 3255 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3251(a,1),82(a,1,2,2))]. 3256 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(118(a,1),3251(a,1,1,2)),flip(a)]. 3257 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1547(a,1),3251(a,1,1,2)),flip(a)]. 3258 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(262,a,3255,a)]. 3259 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [hyper(124,a,3237,a,b,1008,a)]. 3261 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(66,a,2884,a(flip),b,3239,a),flip(a)]. 3262 K(x / y,y / x) = K(y \ x,x \ y). [hyper(66,a,2875,a(flip),b,3239,a)]. 3263 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(66,a,2545,a,b,3262,a)]. 3264 x * (T(x,y) / x) = T(x,y). [hyper(38,a,2114,a,b,3240,a)]. 3266 T(x,y) / x = x \ T(x,y). [hyper(128,a,3264,a),flip(a)]. 3267 (x \ T(x,y)) * x = T(x,y). [para(3264(a,1),91(a,1,1,2))]. 3268 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(910,a,3266,a),flip(a)]. 3269 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(902,a,3266,a)]. 3270 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(66,a,1500,a(flip),b,3266,a),flip(a)]. 3271 T(x,x \ T(x,y)) = x. [hyper(39,a,249,a,b,3266,a)]. 3272 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3266(a,1),113(a,1,1))]. 3273 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3266(a,1),489(a,1,1))]. 3274 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3266(a,1),2038(a,1,1))]. 3275 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3266(a,1),2212(a,1,1,2))]. 3276 K(x,x \ T(x,y)) = 1. [hyper(58,a,3271,a)]. 3277 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3271(a,1),221(a,1,2,1)),flip(a)]. 3278 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1114(a,2),3271(a,1,2))]. 3279 K(x,T(x,y) / x) = 1. [para(3266(a,2),3276(a,1,2))]. 3280 T(1 / x,T(x,y)) = x \ 1. [hyper(122,a,3279,a(flip),b,1068,a),flip(a)]. 3281 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(66,a,1519,a,b,3267,a)]. 3282 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3267(a,1),23(a,2,1)),flip(a)]. 3283 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3267(a,1),103(a,1,1))]. 3284 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3267(a,1),479(a,1,1,1))]. 3285 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1114(a,2),3267(a,1,1)),flip(a)]. 3286 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(66,a,1503,a(flip),b,3280,a)]. 3287 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(87(a,1),3280(a,1,1))]. 3288 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3280(a,1),231(a,1,1)),flip(a)]. 3289 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3280(a,1),370(a,2,1))]. 3290 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3280(a,1),1116(a,1,1)),flip(a)]. 3291 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1138,a,3278,a)]. 3292 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(124,a,3278,a(flip),b,1137,a(flip))]. 3293 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(285,a,117,a,b,3287,a),flip(a)]. 3295 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3288(a,1),1396(a,1,1,2)),flip(a)]. 3297 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(66,a,3037,a,b,3293,a)]. 3300 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3297(a,1),2154(a,1,1))]. 3302 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3285(a,2),583(a,1,2,2))]. 3304 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1150(a,1),3291(a,1,1,1,1))]. 3305 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2971(a,1),3292(a,1,1,1,1))]. 3306 T(x,x / (y * x)) = T(x,x / (x * y)). [para(205(a,1),3281(a,1,2))]. 3308 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(209(a,1),3286(a,1,3,2))]. 3309 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3261(a,1),2614(a,1,2))]. 3310 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(3261(a,1),2628(a,1,1)),flip(a)]. 3311 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3263(a,1),1888(a,1,1))]. 3312 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3263(a,2),2622(a,1,2))]. 3314 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3268(a,1),698(a,2,1)),flip(a)]. 3315 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3268(a,1),3251(a,1,1))]. 3316 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3266(a,1),3274(a,2,2))]. 3318 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3288(a,1),3290(a,1,2)),flip(a)]. 3319 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(285,a,325,a(flip),b,3318,a),flip(a)]. 3322 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3319(a,1),946(a,1,1,2))]. 3323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(136,a,3316,a)]. 3324 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),3270(a,2,2,1))]. 3325 T(x,y \ ((x * y) / x)) = x. [para(3270(a,1),3271(a,1,2))]. 3326 T(x,T(y,x) \ y) = x. [para(209(a,1),3325(a,1,2,2))]. 3327 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(57,a,3326,a)]. 3328 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(124,a,3326,a(flip),b,27,a(flip))]. 3330 K(K(x,y),T(z,y) \ z) = 1. [para(3327(a,1),2224(a,1,2))]. 3331 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1114(a,1),3330(a,1,1))]. 3332 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(3331(a,1),2503(a,1,2)),flip(a)]. 3333 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3331(a,1),2620(a,1,2))]. 3334 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(66,a,1502,a,b,3328,a)]. 3335 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3328(a,1),1796(a,1,1,2,1))]. 3336 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(285,a,3251,a(flip),b,3332,a),flip(a)]. 3337 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3270(a,1),3336(a,1,2)),flip(a)]. 3338 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3333(a,1),2377(a,1,2,1))]. 3339 K(1 / x,y) = K(x \ 1,y). [hyper(66,a,2677,a(flip),b,3314,a)]. 3340 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(66,a,929,a(flip),b,3339,a),flip(a)]. 3341 K((x \ 1) \ 1,y) = K(x,y). [para(87(a,1),3339(a,1,1)),flip(a)]. 3342 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2769,a,3341,a)]. 3343 T(K(x,y),x) = K(x,y). [hyper(66,a,2746,a,b,3341,a)]. 3344 K(T(x,x \ 1),y) = K(x,y). [para(117(a,2),3341(a,1,1))]. 3345 K(T((x \ 1) \ 1,y),z) = K(T(x,y),z). [para(2379(a,2),3341(a,1,1))]. 3346 K(T(x \ y,y \ x),z) = K(x \ y,z). [para(2484(a,2),3341(a,1,1))]. 3347 K(x,y) * x = x * K(x,y). [para(3341(a,1),2747(a,1,2)),flip(a)]. 3348 T(x,K(x,y)) = x. [hyper(57,a,3343,a)]. 3349 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3343(a,1),221(a,1,2,1)),flip(a)]. 3350 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3343(a,1),222(a,1,2,1)),flip(a)]. 3351 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3343(a,1),223(a,1,2,1)),flip(a)]. 3352 K(x,K(x,y)) = 1. [hyper(58,a,3348,a)]. 3353 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3348(a,1),221(a,1,2,1)),flip(a)]. 3354 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3348(a,1),222(a,1,2,1)),flip(a)]. 3355 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3348(a,1),223(a,1,2,1)),flip(a)]. 3356 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3348(a,1),425(a,1,1,2)),flip(a)]. 3359 T(K(x,y),T(x,z)) = K(x,y). [hyper(225,a,3353,a)]. 3362 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3359(a,1),263(a,1,2))]. 3363 T(K(x,y),(z * x) / z) = K(x,y). [hyper(57,a,3356,a)]. 3364 T(K(x \ y,z),y / x) = K(x \ y,z). [para(15(a,1),3363(a,1,2,1))]. 3365 T(K(x \ y,z),u) * (y / x) = (y / x) * T(K(x \ y,z),u). [para(3364(a,1),221(a,1,2,1)),flip(a)]. 3366 T(x,L(K(x,y),z,u)) = x. [hyper(225,a,3350,a)]. 3367 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3350(a,1),1913(a,2,1))]. 3368 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(761,a,3351,a),flip(a)]. 3369 T(x,R(K(x,y),z,u)) = x. [hyper(225,a,3351,a)]. 3370 K(x,R(K(x,y),z,u)) = 1. [hyper(58,a,3369,a)]. 3371 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(225,a,3355,a)]. 3372 R(x,y,z) * K(x,u) != w | K(x,u) * R(x,y,z) = w. [para(3371(a,1),263(a,1,2))]. 3373 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3175(a,1),2105(a,1,2))]. 3374 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3175(a,1),2716(a,1,1,2)),flip(a)]. 3375 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(57,a,3373,a)]. 3376 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [hyper(124,a,3373,a(flip),b,27,a(flip))]. 3378 (K(x,y) \ y) * K(x,y) = y. [hyper(37,a,96,a(flip),b,3204,a),flip(a)]. 3379 x / K(y,x) = K(y,x) \ x. [hyper(135,a,3378,a)]. 3380 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3378(a,1),25(a,2,1,1))]. 3383 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3205(a,1),2817(a,2,1))]. 3384 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(118(a,1),3256(a,1,1)),flip(a)]. 3385 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(14(a,1),3384(a,1,1,2)),flip(a)]. 3386 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(66,a,3020,a,b,3259,a)]. 3387 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1067,a,3277,a),flip(a)]. 3388 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,281,a(flip),b,3300,a)]. 3390 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(589(a,1),3311(a,1,1,2))]. 3391 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1262(a,1),3315(a,1,1)),flip(a)]. 3392 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1281(a,2),3315(a,1,1)),flip(a)]. 3393 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(285,a,3253,a(flip),b,3376,a),flip(a)]. 3394 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3386(a,1),2938(a,1,2)),flip(a)]. 3395 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3387(a,2),995(a,1,2))]. 3396 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3388(a,1),23(a,2,1)),flip(a)]. 3397 R(x,x \ T(x,y),T(x,z)) = x. [hyper(700,a,3395,a)]. 3398 L(x,x \ T(x,y),x) = x. [para(3397(a,1),1059(a,1,1))]. 3399 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(60,a,3200,a)]. 3401 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(117(a,1),3241(a,1,2,1))]. 3404 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(128,a,3310,a)]. 3405 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(14(a,1),3385(a,1,1)),flip(a)]. 3406 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(185,a,3405,a)]. 3407 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(66,a,3337,a,b,3406,a)]. 3408 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(122,a,3407,a(flip),b,1000,a),flip(a)]. 3409 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(209(a,1),3407(a,2,1))]. 3410 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3408(a,1),2392(a,1,2))]. 3411 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(209(a,1),3410(a,1,2,2,1))]. 3412 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1267(a,1),3411(a,1,2,2,2))]. 3413 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(123,a,3409,a(flip),b,3169,a),flip(a)]. 3414 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3334(a,1),3409(a,1,1))]. 3415 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(185,a,3414,a)]. 3416 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1267(a,1),3415(a,1,2,2))]. 3417 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3394(a,1),2185(a,1,1)),flip(a)]. 3418 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(136,a,3401,a)]. 3419 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(3404(a,1),2014(a,1,1))]. 3420 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [hyper(124,a,3419,a(flip),b,27,a(flip)),flip(a)]. 3421 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(3419(a,1),2378(a,1,1)),flip(a)]. 3422 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(180,a,3421,a),flip(a)]. 3423 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(66,a,3103,a(flip),b,3422,a),flip(a)]. 3424 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3309(a,2),3420(a,1,1))]. 3425 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2951(a,1),3423(a,1,1,1,1))]. 3426 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3423(a,1),3341(a,1,1)),flip(a)]. 3427 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(224,a,3424,a(flip),b,2832,a(flip))]. 3429 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(17(a,1),3427(a,1,2,1))]. 3430 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3429(a,1),2719(a,1,1)),flip(a)]. 3431 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(14(a,1),3257(a,2,1))]. 3433 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3282(a,1),1021(a,1,2)),flip(a)]. 3434 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(15(a,1),3433(a,1,1)),flip(a)]. 3435 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3433(a,2),46(a,1))]. 3436 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(66,a,1827,a,b,3283,a)]. 3437 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3334(a,1),3413(a,1,2))]. 3438 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3268(a,1),3437(a,2,1))]. 3439 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3266(a,1),3275(a,2,2,1,2))]. 3440 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(285,a,3328,a(flip),b,3335,a),flip(a)]. 3441 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3028(a,1),3340(a,2,1,1))]. 3443 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3414(a,1),3440(a,1,1,2))]. 3444 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(37,a,3439,a(flip),b,3443,a(flip))]. 3446 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3444(a,1),241(a,1,2))]. 3447 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3273(a,2,1))]. 3448 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3169(a,1),3417(a,1,1)),flip(a)]. 3449 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(90(a,1),3164(a,1,2,1))]. 3451 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2405,a,3449,a)]. 3453 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1906(a,1),3451(a,1,2))]. 3454 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(32(a,2),3254(a,2,1))]. 3455 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),3295(a,1,1))]. 3456 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(116(a,1),3455(a,2,1))]. 3457 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(285,a,2415,a(flip),b,3456,a),flip(a)]. 3459 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3457(a,1),1350(a,1,1)),flip(a)]. 3460 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(285,a,3223,a(flip),b,3459,a),flip(a)]. 3462 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3460(a,1),3457(a,1,1))]. 3464 K(T(x / y,z) \ 1,T(x / y,u)) = K(x \ y,y \ x). [hyper(285,a,3239,a(flip),b,3462,a),flip(a)]. 3470 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3392(a,1),3308(a,1,3))]. 3471 T(x,K(y,x) \ 1) = x. [para(3392(a,1),3326(a,1,2))]. 3472 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [hyper(124,a,3471,a(flip),b,27,a(flip))]. 3474 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3472(a,1),203(a,2,1)),flip(a)]. 3475 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(285,a,3470,a(flip),b,3474,a),flip(a)]. 3477 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3399(a,1),126(a,1))]. 3478 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(87(a,1),3453(a,2,1,1,2))]. 3480 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2416,a,3478,a)]. 3481 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(14(a,1),3480(a,1,2)),flip(a)]. 3482 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [hyper(124,a,2976,a(flip),b,3481,a)]. 3483 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [hyper(124,a,3482,a(flip),b,993,a)]. 3484 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2983(a,1),3482(a,1,2)),flip(a)]. 3485 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1944(a,1),3454(a,1,1)),flip(a)]. 3486 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1375(a,1),3244(a,1,1))]. 3487 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(243(a,2),3486(a,1,2,1))]. 3488 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(66,a,3144,a(flip),b,3487,a)]. 3489 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3488(a,1),2919(a,1,2))]. 3490 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3446,a,3258,a),flip(a)]. 3491 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1267(a,1),3490(a,1,2,2))]. 3492 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(116(a,2),3368(a,2,1,1,1))]. 3493 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3342(a,1),3412(a,1,2,2))]. 3494 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3493(a,1),249(a,1,2))]. 3495 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3494(a,1),2692(a,1,1)),flip(a)]. 3496 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3494(a,1),2837(a,1,1))]. 3497 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(124,a,3496,a(flip),b,2253,a),flip(a)]. 3498 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(3497(a,1),2945(a,1,2))]. 3499 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(66,a,2187,a(flip),b,3498,a)]. 3500 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3267(a,1),3489(a,1,2,1))]. 3501 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(117(a,1),3500(a,2,2,1,1))]. 3502 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2914(a,1),3484(a,1,2))]. 3503 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(117(a,2),3502(a,1,2,1))]. 3504 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(34(a,1),3367(a,1,1))]. 3505 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(285,a,3448,a(flip),b,3374,a),flip(a)]. 3506 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3175(a,1),3505(a,1,1))]. 3507 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(795(a,1),3231(a,1,2)),flip(a)]. 3508 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(66,a,1943,a(flip),b,3507,a),flip(a)]. 3510 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3434(a,1),3436(a,1,1))]. 3511 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(66,a,232,a(flip),b,3510,a)]. 3512 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(14(a,1),3511(a,1,1)),flip(a)]. 3513 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(122,a,3398,a(flip),b,3512,a)]. 3514 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1547(a,1),3513(a,1,1,2)),flip(a)]. 3515 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3270(a,1),3513(a,1,1)),flip(a)]. 3516 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3407(a,1),3515(a,1,2)),flip(a)]. 3517 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(209(a,1),3516(a,1,1,2)),flip(a)]. 3518 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(209(a,1),3517(a,1,2,1)),flip(a)]. 3519 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(14(a,1),3514(a,2,1))]. 3521 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3431(a,1),3519(a,1,2))]. 3522 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(128,a,3521,a)]. 3523 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),3304(a,2,1))]. 3524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(2815(a,1),3523(a,1,1))]. 3525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(122,a,3524,a(flip),b,3521,a)]. 3526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3525,a),flip(a)]. 3527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(42,a,2510,a,b,3526,a)]. 3529 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2838(a,1),2872(a,1,2)),flip(a)]. 3530 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(285,a,25,a,b,3529,a),flip(a)]. 3531 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3529(a,2),479(a,1))]. 3532 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(66,a,3053,a(flip),b,3530,a),flip(a)]. 3533 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2899(a,1),2900(a,2,2,1,1))]. 3534 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(285,a,3269,a(flip),b,3533,a),flip(a)]. 3536 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3269(a,1),3534(a,1,1))]. 3537 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3536(a,1),3322(a,1,1))]. 3538 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3319(a,1),3537(a,2,1))]. 3540 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2413,a,3538,a)]. 3542 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2948(a,1),2994(a,1,2)),flip(a)]. 3544 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3542(a,2),447(a,1))]. 3545 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(112(a,1),2935(a,1,1,1,1,2))]. 3546 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2452,a,3545,a)]. 3547 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(16(a,1),3305(a,1,1,1))]. 3549 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3547(a,1),47(a,1)),flip(a)]. 3550 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3342(a,1),3491(a,1,2))]. 3551 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3391(a,1),3550(a,1,3))]. 3552 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(14(a,1),3551(a,1,3,1,2,2,1))]. 3553 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(116(a,1),3552(a,1,3,1,2))]. 3554 R(x,K(y,x),K(y,x) \ 1) = x. [para(21(a,2),3553(a,1,3,1))]. 3555 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(122,a,3554,a(flip),b,355,a)]. 3556 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3094(a,1),3057(a,1,1))]. 3557 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3269(a,1),3110(a,2,1))]. 3558 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3066(a,1),3324(a,1,2))]. 3559 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(32(a,2),3558(a,1,2))]. 3560 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1954(a,1),3559(a,1,2,1)),flip(a)]. 3561 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(285,a,1944,a(flip),b,3560,a),flip(a)]. 3563 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(3087,a,3561,a)]. 3564 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3561,a),flip(a)]. 3565 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3564(a,2),3527(a,1,1))]. 3566 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(66,a,3485,a,b,3565,a)]. 3567 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2313,a,3566,a)]. 3568 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(124,a,3567,a(flip),b,3508,a)]. 3569 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3567(a,1),2303(a,2,1,1))]. 3570 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1710(a,2),3563(a,1,2))]. 3571 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3570(a,1),2801(a,1,1)),flip(a)]. 3572 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3564(a,1),3571(a,2,1))]. 3573 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,3079,a(flip),b,3572,a),flip(a)]. 3574 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(37,a,1903,a(flip),b,3573,a),flip(a)]. 3575 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(66,a,3142,a,b,3574,a)]. 3576 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(185,a,3575,a),flip(a)]. 3577 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2381(a,1),3575(a,1,1,1))]. 3578 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(66,a,3568,a,b,3576,a)]. 3579 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(87(a,1),3576(a,1,1,2)),flip(a)]. 3580 R(1 / (1 / (x / (y / z))),y / z,z) = 1 / (1 / ((x * z) / y)). [para(489(a,1),3576(a,2,2,2))]. 3581 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3579(a,1),184(a,1,1,1))]. 3583 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(87(a,1),3581(a,1,1,1,1)),flip(a)]. 3584 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3581(a,1),3341(a,1,1)),flip(a)]. 3585 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(66,a,986,a,b,3583,a)]. 3586 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3583(a,2),2445(a,1,1))]. 3587 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2713(a,1),3583(a,2,1,1))]. 3588 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(87(a,1),3577(a,1,1,1,1,2)),flip(a)]. 3589 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(686(a,1),3577(a,1,1)),flip(a)]. 3590 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(868(a,1),3588(a,2,1))]. 3591 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(37,a,1874,a,b,3578,a)]. 3592 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(397,a,3591,a)]. 3593 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(487(a,1),3591(a,1,1,1)),flip(a)]. 3594 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3591(a,1),1914(a,1,1)),flip(a)]. 3595 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3591(a,1),3569(a,1,1)),flip(a)]. 3596 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3592(a,1),339(a,1))]. 3597 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(66,a,3430,a,b,3587,a)]. 3598 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3597(a,1),2499(a,1,1)),flip(a)]. 3599 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1491(a,1),3590(a,1,2))]. 3600 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(12(a,1),3599(a,1,2,1,2)),flip(a)]. 3601 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(12(a,1),3600(a,1,1,2)),flip(a)]. 3602 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(180,a,3601,a),flip(a)]. 3603 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2930(a,1),3601(a,1,2))]. 3604 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3602(a,2),3029(a,1,2))]. 3605 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(90(a,1),3603(a,1,2,2,1)),flip(a)]. 3606 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(185,a,3605,a)]. 3607 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(124,a,3606,a,b,xx)]. 3609 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(123,a,3607,a(flip),b,2436,a)]. 3610 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(90(a,1),3607(a,1,2,2,2,2)),flip(a)]. 3612 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(87(a,1),3609(a,1,1,1,2)),flip(a)]. 3613 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(285,a,3526,a(flip),b,3594,a),flip(a)]. 3614 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(136,a,3598,a(flip))]. 3615 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / ((x * y) / 1))) / y. [hyper(123,a,3580,a(flip),b,247,a),flip(a)]. 3616 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(445,a,3595,a)]. 3617 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3341(a,1),3616(a,1,3))]. 3618 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3617(a,1),260(a,1,2)),flip(a)]. 3619 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / (x * y))) / y. [para(86(a,1),3615(a,2,1,2,2))]. 3620 (1 / x) * (1 / (1 / ((1 / x) \ y))) = (1 / (1 / (y * x))) / x. [hyper(66,a,2436,a(flip),b,3619,a)]. 3621 x * K(x \ (1 / y),(1 / y) \ x) = (1 / (1 / (x * y))) / y. [hyper(66,a,2627,a,b,3620,a)]. 3622 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(262,a,3586,a),flip(a)]. 3623 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2389(a,1),3622(a,2,1))]. 3624 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(66,a,3546,a(flip),b,3623,a)]. 3625 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3242(a,1),3624(a,2,1))]. 3626 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3592(a,1),3625(a,1,1))]. 3627 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3626(a,1),47(a,1))]. 3628 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3341(a,1),3626(a,1,1))]. 3629 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2621(a,1),3628(a,2,1,2))]. 3630 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3618,a,3629,a)]. 3631 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(38,a,2398,a,b,3630,a),flip(a)]. 3633 L(x,y,K(z,z \ 1)) = x. [para(3631(a,1),3617(a,1,3))]. 3634 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3631(a,1),3629(a,1,1)),flip(a)]. 3635 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1176,a,3633,a),flip(a)]. 3636 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(66,a,2530,a,b,3633,a)]. 3637 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(66,a,105,a(flip),b,3633,a)]. 3638 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(124,a,3633,a(flip),b,2530,a)]. 3639 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3633(a,1),389(a,1,2)),flip(a)]. 3640 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3633(a,1),499(a,1,2))]. 3641 L(x,y,K(z \ 1,z)) = x. [para(1906(a,1),3633(a,1,3))]. 3642 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3633(a,1),1893(a,1,2)),flip(a)]. 3643 L(x,y,K(z \ u,u \ z)) = x. [para(2490(a,1),3633(a,1,3))]. 3645 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3544,a,3641,a),flip(a)]. 3646 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1176,a,3641,a),flip(a)]. 3650 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(66,a,2856,a(flip),b,3641,a),flip(a)]. 3651 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(66,a,2722,a(flip),b,3641,a),flip(a)]. 3652 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(66,a,2525,a(flip),b,3641,a),flip(a)]. 3653 L(x,y,K(z \ 1,z)) != u | u = x. [para(3641(a,1),53(a,1)),flip(a)]. 3654 L(x,y,K(z \ 1,z)) != u | x = u. [para(3641(a,1),53(a,2))]. 3655 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3641(a,1),389(a,1,2)),flip(a)]. 3656 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3641(a,1),499(a,1,2))]. 3657 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3641(a,1),2427(a,1,2))]. 3659 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3641(a,1),3544(a,1))]. 3661 K(x \ y,y \ x) * (1 / z) = K(x \ y,y \ x) / z. [para(3643(a,1),389(a,1,2)),flip(a)]. 3662 (K(x \ y,y \ x) * z) / u = K(x \ y,y \ x) * (z / u). [para(3643(a,1),499(a,1,2))]. 3664 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(66,a,2966,a,b,3645,a)]. 3665 a(1 / x,x / y,y) \ y = L(y,x / y,x \ 1). [hyper(66,a,1674,a,b,3645,a)]. 3666 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(66,a,455,a(flip),b,3645,a),flip(a)]. 3667 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [hyper(124,a,3645,a(flip),b,23,a(flip))]. 3668 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(87(a,1),3645(a,1,3)),flip(a)]. 3669 1 / L(x,y / x,y \ 1) = (1 / y) * (y / x). [para(3645(a,1),707(a,1,2))]. 3671 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(66,a,2725,a,b,3651,a)]. 3675 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2405,a,3639,a)]. 3676 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [hyper(2858,a,3642,a)]. 3677 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2405,a,3642,a)]. 3679 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(315,a,3677,a),flip(a)]. 3680 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(610(a,1),3677(a,1,1)),flip(a)]. 3681 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(180,a,3679,a)]. 3682 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(123,a,3634,a(flip),b,112,a)]. 3684 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2950(a,1),3634(a,1,1)),flip(a)]. 3686 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(475,a,3635,a)]. 3689 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(224,a,3635,a,b,15,a),flip(a)]. 3692 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,2800,a,b,3686,a)]. 3696 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3636(a,1),981(a,1,1)),flip(a)]. 3697 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2659(a,1),3637(a,1,1))]. 3698 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2845(a,1),3637(a,1,2))]. 3699 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2850(a,1),3637(a,1,1)),flip(a)]. 3704 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(2950(a,1),3638(a,1,1)),flip(a)]. 3705 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2398(a,1),3640(a,1,1))]. 3706 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3640(a,1),2865(a,1,1))]. 3708 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),25(a,2,1,1)),flip(a)]. 3709 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(2649(a,1),3646(a,1,1)),flip(a)]. 3710 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2654(a,1),3646(a,1,1)),flip(a)]. 3711 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2915(a,1),3646(a,1,1)),flip(a)]. 3713 K(x \ 1,x) * ((1 / y) * z) = (K(x \ 1,x) / y) * z. [para(3655(a,1),3646(a,1,1)),flip(a)]. 3714 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [hyper(2989,a,3650,a),flip(a)]. 3716 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2950(a,1),3650(a,1,1)),flip(a)]. 3717 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3656(a,1),118(a,1,1))]. 3718 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(860(a,1),3656(a,1,1)),flip(a)]. 3719 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1881(a,1),3656(a,1,1)),flip(a)]. 3720 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2855,a,3718,a)]. 3721 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(249(a,1),3719(a,1,2)),flip(a)]. 3722 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3627,a,3657,a)]. 3724 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),19(a,2,1)),flip(a)]. 3725 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),23(a,2,1)),flip(a)]. 3726 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3657(a,1),23(a,2,2,2)),flip(a)]. 3728 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3657(a,1),2992(a,1,1))]. 3729 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3596,a,3722,a)]. 3730 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(487(a,1),3722(a,1,2)),flip(a)]. 3733 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(13(a,1),3698(a,2,2))]. 3735 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(13(a,1),3699(a,2,2))]. 3736 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(66,a,2402,a(flip),b,3705,a),flip(a)]. 3737 (x * K(y,y \ 1)) / z != K(y,y \ 1) * u | x / z = u. [para(3705(a,2),46(a,1))]. 3739 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(116(a,1),3689(a,1,2,2))]. 3742 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2888(a,1),3697(a,1,2)),flip(a)]. 3743 K(x \ 1,x) * ((x \ 1) * y) = T(x \ 1,x) * y. [para(1899(a,2),3711(a,2,1))]. 3744 ((x \ 1) * y) * K(x \ 1,x) = T(x \ 1,x) * y. [hyper(2412,a,3743,a)]. 3745 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3716(a,1),3557(a,1,2,1)),flip(a)]. 3746 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3005(a,1),3717(a,1,1))]. 3747 (K(x \ y,y \ x) * z) / u != K(x \ y,y \ x) * w | z / u = w. [para(3662(a,2),46(a,1))]. 3748 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(66,a,3640,a(flip),b,3682,a)]. 3749 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),3708(a,1,1))]. 3750 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(66,a,3656,a(flip),b,3749,a)]. 3751 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(25(a,2),3750(a,1,2)),flip(a)]. 3752 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(285,a,3113,a(flip),b,3751,a),flip(a)]. 3753 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2862,a,3751,a(flip))]. 3754 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1872(a,1),3753(a,1,2,1))]. 3755 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3426(a,1),3745(a,2,2))]. 3756 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2702(a,1),3752(a,1,1)),flip(a)]. 3757 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(15(a,1),3756(a,1,1,2,1)),flip(a)]. 3758 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(123,a,3757,a,b,xx)]. 3759 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3757(a,2,1,2))]. 3760 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2713(a,1),3757(a,2,1,2))]. 3761 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(91(a,1),3758(a,1,1,1)),flip(a)]. 3762 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(138,a,3761,a),flip(a)]. 3763 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3762(a,2),2561(a,1,1))]. 3764 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(66,a,3143,a(flip),b,3760,a),flip(a)]. 3765 (x * (y \ T(y,x))) * y = y * x. [para(14(a,1),3764(a,1,1)),flip(a)]. 3766 x * (y \ T(y,x)) = (y * x) / y. [hyper(135,a,3765,a),flip(a)]. 3767 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(123,a,15,a(flip),b,3765,a),flip(a)]. 3768 x \ ((y * x) / y) = y \ T(y,x). [hyper(128,a,3766,a)]. 3769 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(122,a,756,a(flip),b,3766,a)]. 3770 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(122,a,209,a(flip),b,3766,a)]. 3771 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(122,a,153,a(flip),b,3766,a),flip(a)]. 3772 (x \ T(x,y)) * y = (x * y) / x. [hyper(66,a,3206,a,b,3766,a)]. 3773 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(37,a,3230,a,b,3766,a)]. 3774 ((x * y) / x) / y = x \ T(x,y). [hyper(37,a,3228,a,b,3766,a)]. 3775 (T(x,y) \ x) * ((x * y) / x) = y. [hyper(124,a,3766,a(flip),b,3518,a)]. 3776 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3766(a,1),889(a,1,2))]. 3777 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3268(a,1),3766(a,1,2)),flip(a)]. 3778 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3766(a,1),3323(a,1,1))]. 3779 ((x * y) / x) \ y = T(x,y) \ x. [para(3766(a,1),3444(a,1,1))]. 3781 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3770(a,2),3272(a,1,1))]. 3782 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3772(a,1),176(a,1,2,1))]. 3785 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3774(a,1),461(a,1,1,1))]. 3786 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3549,a,3775,a)]. 3787 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(15(a,1),3779(a,1,1,1)),flip(a)]. 3788 T(x,T(y,x)) \ x = y \ T(y,x). [para(209(a,1),3779(a,1,1)),flip(a)]. 3789 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(756(a,1),3779(a,1,1))]. 3790 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3779(a,1),1306(a,1,2,2,1))]. 3791 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(285,a,1114,a,b,3788,a)]. 3793 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3788(a,1),3168(a,1,1))]. 3795 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3268(a,1),3793(a,1,1))]. 3796 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(117(a,1),3767(a,1,2,2))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3778(a,1),447(a,1,1))]. 3799 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(128,a,3796,a)]. 3800 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(118(a,1),3771(a,1,2))]. 3801 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(66,a,3787,a,b,3800,a)]. 3802 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(124,a,3787,a,b,3800,a(flip)),flip(a)]. 3804 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(14(a,1),3802(a,2,2,1,2))]. 3805 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1538,a,3773,a)]. 3807 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(66,a,1095,a,b,3773,a)]. 3808 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(66,a,2579,a(flip),b,3773,a)]. 3809 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1518,a,3773,a(flip))]. 3810 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,3773,a(flip)),flip(a)]. 3811 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3773(a,1),2049(a,1,1))]. 3812 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3773(a,1),2075(a,2,2,1))]. 3813 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3773(a,1),2067(a,2,2,1))]. 3814 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3773(a,1),2808(a,1,1))]. 3815 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2068,a,3809,a)]. 3818 T(x,x / (y * x)) = T(x,y \ 1). [hyper(66,a,3306,a,b,3809,a)]. 3819 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(123,a,3809,a(flip),b,2063,a)]. 3820 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3809(a,1),2064(a,2,2))]. 3821 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3818(a,1),1071(a,1,2))]. 3822 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3805(a,2),3251(a,1,1))]. 3823 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(117(a,2),3810(a,1,2,1))]. 3824 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3819(a,2),203(a,2,1))]. 3825 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(885,a,3821,a),flip(a)]. 3826 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(138,a,3821,a)]. 3827 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(122,a,3821,a,b,xx)]. 3828 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(90(a,1),3821(a,2,2,1))]. 3829 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(368(a,2),3821(a,2,2)),flip(a)]. 3830 L(x,y,y \ 1) \ T(x,L(x,y,y \ 1) \ 1) = x * (a(1 / y,y,x) / x). [para(2965(a,1),3821(a,2,2,1))]. 3831 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [para(3029(a,1),3821(a,1,2))]. 3832 (x * y) * ((y * x) * (K(y,x) / (y * x))) = T(y * x,(x * y) \ 1). [para(21(a,2),3826(a,1,2,2,1))]. 3834 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1281(a,2),3795(a,1,1)),flip(a)]. 3835 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(66,a,1053,a(flip),b,3804,a)]. 3836 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3804(a,2),46(a,1))]. 3837 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3804(a,1),1313(a,1,1)),flip(a)]. 3838 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3820(a,1),2694(a,2,1,2))]. 3839 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1187,a,3828,a)]. 3840 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3835(a,1),1265(a,2,2,1,2))]. 3841 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(90(a,1),3829(a,2,2,2))]. 3842 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1276(a,1),3834(a,1,2))]. 3843 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1281(a,2),3777(a,2,2))]. 3844 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1429(a,1),3777(a,2,2))]. 3845 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(285,a,3805,a(flip),b,3811,a),flip(a)]. 3846 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3029(a,1),3811(a,1,1,2)),flip(a)]. 3847 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3823(a,2),46(a,1))]. 3849 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3839(a,1),431(a,1,2))]. 3850 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3289(a,1),3845(a,2,2,2,1))]. 3851 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3846(a,1),3822(a,1,1)),flip(a)]. 3852 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3781(a,1),834(a,1,1))]. 3853 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(285,a,3805,a(flip),b,3814,a),flip(a)]. 3854 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3773(a,1),3808(a,1,1))]. 3855 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3805(a,1),3812(a,1,1))]. 3856 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(14(a,1),3825(a,1,2,1)),flip(a)]. 3857 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(66,a,2927,a(flip),b,3856,a),flip(a)]. 3858 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(200(a,2),3857(a,1,2))]. 3859 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3858(a,1),786(a,1,1)),flip(a)]. 3860 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3070(a,1),3841(a,1,2))]. 3861 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3804(a,1),3837(a,1,2,1)),flip(a)]. 3862 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(447,a,3861,a),flip(a)]. 3863 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3844(a,2),46(a,1))]. 3864 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(66,a,3778,a(flip),b,3859,a)]. 3865 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(66,a,2183,a(flip),b,3864,a)]. 3866 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(14(a,1),3865(a,1,1,1)),flip(a)]. 3867 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(14(a,1),3866(a,1,1,1)),flip(a)]. 3868 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(66,a,3664,a(flip),b,3786,a)]. 3869 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2954(a,1),3868(a,2,1))]. 3870 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(66,a,3867,a(flip),b,3869,a),flip(a)]. 3871 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3227(a,1),3862(a,1,2))]. 3872 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(285,a,271,a(flip),b,3755,a)]. 3873 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(21(a,2),3852(a,2,1))]. 3874 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(66,a,3748,a(flip),b,3736,a),flip(a)]. 3875 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2394(a,1),3874(a,1,3)),flip(a)]. 3876 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1906(a,1),3875(a,1,2)),flip(a)]. 3878 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1906(a,1),3876(a,1,3)),flip(a)]. 3879 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(285,a,3853,a,b,3850,a),flip(a)]. 3880 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3029(a,1),3879(a,2,1,2))]. 3881 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(66,a,1413,a(flip),b,3840,a),flip(a)]. 3882 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(116(a,1),3881(a,2,1,2))]. 3883 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3779(a,1),3790(a,2,2))]. 3884 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [hyper(285,a,3714,a(flip),b,3746,a),flip(a)]. 3885 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2831(a,1),3838(a,1,1,1))]. 3886 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3720(a,1),3885(a,1,1,1))]. 3887 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(118(a,1),3886(a,1,1))]. 3888 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3827(a,1),3887(a,2,1))]. 3889 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(285,a,17,a(flip),b,3888,a),flip(a)]. 3890 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(38,a,2852,a(flip),b,3888,a)]. 3892 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2416,a,3889,a)]. 3894 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3889(a,1),2647(a,1,1)),flip(a)]. 3895 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(285,a,278,a,b,3890,a),flip(a)]. 3896 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(154(a,2),3890(a,2,2,1)),flip(a)]. 3897 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2401,a,3895,a)]. 3898 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(3895(a,1),3634(a,1,1)),flip(a)]. 3900 x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. [para(3897(a,1),2405(a,1))]. 3902 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3898(a,1),2946(a,1,2))]. 3903 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(117(a,1),3902(a,1,2,1,2))]. 3904 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [hyper(124,a,3903,a(flip),b,404,a),flip(a)]. 3906 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),3725(a,1,2))]. 3907 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(66,a,3656,a(flip),b,3728,a)]. 3908 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3906,a)]. 3909 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3654,a,3908,a),flip(a)]. 3911 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2409(a,2),3909(a,1,3))]. 3912 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(487(a,1),3593(a,2,2))]. 3913 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,3239,a(flip),b,3912,a),flip(a)]. 3914 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(487(a,1),3913(a,1,2))]. 3916 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1906(a,1),3680(a,2,2))]. 3917 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(87(a,1),3916(a,1,1))]. 3919 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(285,a,3889,a(flip),b,3917,a),flip(a)]. 3920 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(324(a,1),3919(a,1,2,2,2))]. 3921 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(66,a,3721,a(flip),b,3920,a)]. 3922 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2855,a,3921,a)]. 3923 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [hyper(2412,a,3921,a)]. 3924 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3922(a,1),3634(a,1,1)),flip(a)]. 3925 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (1 / T(y \ 1,z))). [para(3238(a,1),3923(a,1,2))]. 3926 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(66,a,2999,a(flip),b,3924,a)]. 3927 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (T(1 / y,z) \ 1)). [para(2380(a,1),3925(a,2,2,2))]. 3928 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ T(1 / y,z). [para(87(a,1),3927(a,2,2))]. 3930 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),3724(a,1,2,1))]. 3931 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3646(a,1),3930(a,1,2))]. 3932 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(770,a,3931,a)]. 3933 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3654,a,3932,a),flip(a)]. 3935 a(1 / x,y,z) = a(x \ 1,y,z). [para(1103(a,1),3933(a,1,1)),flip(a)]. 3936 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2646(a,1),3933(a,1,1)),flip(a)]. 3937 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [hyper(66,a,2965,a,b,3935,a)]. 3938 ((1 / x) * (x / y)) * y = a(x \ 1,x / y,y). [hyper(66,a,865,a,b,3935,a)]. 3939 a(x \ 1,x / y,y) / y = (1 / x) * (x / y). [hyper(123,a,3935,a(flip),b,865,a)]. 3940 a(x \ 1,x / y,y) \ y = L(y,x / y,x \ 1). [para(3935(a,1),3665(a,1,1))]. 3941 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3763(a,1),262(a,1))]. 3942 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3941,a,3813,a)]. 3943 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3815(a,1),3942(a,1,1)),flip(a)]. 3944 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3029(a,1),3943(a,1,2,1,2)),flip(a)]. 3945 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3029(a,1),3944(a,1,1)),flip(a)]. 3946 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(14(a,1),3945(a,1,2,2)),flip(a)]. 3947 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(14(a,1),3946(a,1,2)),flip(a)]. 3948 L(x,y \ T(y,z),y) = x. [hyper(690,a,3947,a)]. 3950 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(135,a,3947,a)]. 3951 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(37,a,996,a,b,3947,a),flip(a)]. 3954 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3770(a,2),3947(a,1,2,1))]. 3955 T(x,y) * y = x * ((x * y) / x). [para(3772(a,1),3947(a,1,2)),flip(a)]. 3957 L(x,y,y \ T(y,z)) = x. [hyper(3435,a,3948,a)]. 3958 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(122,a,3948,a(flip),b,3512,a)]. 3959 L(x,T(y,T(z,y)) \ y,z) = x. [para(3788(a,2),3948(a,1,2))]. 3962 L(x,y,T(z,T(y,z)) \ z) = x. [para(3788(a,2),3957(a,1,3))]. 3963 L(x,T(y,z) \ y,(y * z) / y) = x. [para(208(a,1),3959(a,1,2,1,2))]. 3964 T(x,y) * (x \ y) = (x * y) / x. [hyper(1015,a,3955,a)]. 3965 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1003,a,3955,a),flip(a)]. 3967 T(x,x / (x / y)) = T(x,y). [hyper(38,a,1335,a,b,3955,a)]. 3968 T(x,x \ y) * (x \ y) = x * (y / x). [para(15(a,1),3955(a,2,2,1))]. 3970 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3955(a,2),1578(a,1,1,1))]. 3971 T(x,y) = (x / y) * ((x * y) / x). [hyper(66,a,1045,a,b,3967,a),flip(a)]. 3972 T(x,x / (1 / y)) = T(x,x * y). [hyper(66,a,1341,a(flip),b,3967,a)]. 3973 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(66,a,1060,a(flip),b,3967,a)]. 3974 (x / y) \ T(x,y) = (x * y) / x. [hyper(122,a,3967,a(flip),b,1045,a)]. 3975 T(x,x / y) = T(x,y \ x). [para(87(a,1),3967(a,1,2,2))]. 3976 T(x,(y \ x) \ x) = T(x,y). [para(181(a,1),3967(a,1,2)),flip(a)]. 3977 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3967(a,1),1221(a,1,1))]. 3978 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1186,a,3975,a)]. 3979 T(x,T(y,y \ x)) = T(x,y). [para(117(a,2),3976(a,1,2))]. 3980 T(x * y,T(x,y)) = T(x * y,x). [para(14(a,1),3979(a,1,2,2))]. 3981 T(x / y,T(y,x)) = y \ x. [hyper(224,a,744,a,b,3964,a)]. 3982 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(224,a,745,a(flip),b,3964,a)]. 3984 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3964(a,1),23(a,2,1)),flip(a)]. 3985 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(97(a,1),3964(a,1,2))]. 3987 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3964(a,1),3209(a,1,1,1))]. 3988 T(x \ y,T(x,y)) = T(x \ y,x). [para(3981(a,1),231(a,1,1)),flip(a)]. 3989 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3981(a,1),1708(a,1,1)),flip(a)]. 3991 T(x / y,(x * y) / x) = y \ x. [hyper(224,a,3971,a(flip),b,1033,a(flip))]. 3993 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3972(a,1),1325(a,1,1))]. 3994 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(16(a,1),3974(a,1,1)),flip(a)]. 3995 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(285,a,117,a,b,3982,a),flip(a)]. 3997 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [hyper(124,a,3988,a(flip),b,27,a(flip))]. 3999 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3988(a,2),398(a,1,2,2))]. 4001 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(122,a,3963,a(flip),b,3883,a),flip(a)]. 4002 R(x,x \ T(x,y),z) = x. [hyper(700,a,3950,a)]. 4003 R(x,x \ (K(y,x) \ x),z) = x. [para(3834(a,1),4002(a,1,2,2))]. 4004 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(66,a,3855,a(flip),b,3951,a),flip(a)]. 4005 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(66,a,3540,a(flip),b,3951,a),flip(a)]. 4007 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(14(a,1),3958(a,2,2))]. 4011 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3965(a,2),47(a,1))]. 4012 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(122,a,3821,a,b,3968,a)]. 4013 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(66,a,3951,a,b,3968,a)]. 4014 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(66,a,281,a(flip),b,3968,a)]. 4015 T(x,x \ y) * y = x * (x * (y / x)). [hyper(124,a,3968,a(flip),b,993,a),flip(a)]. 4019 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(185,a,4007,a)]. 4020 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(124,a,4014,a(flip),b,1065,a),flip(a)]. 4021 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(123,a,4015,a(flip),b,1204,a)]. 4022 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3284,a,4019,a)]. 4023 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4019(a,1),307(a,1,1)),flip(b)]. 4024 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4019(a,1),3873(a,1,1)),flip(a)]. 4026 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(66,a,3447,a(flip),b,4022,a)]. 4027 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3774(a,1),3987(a,1,1))]. 4028 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(285,a,3973,a(flip),b,3993,a),flip(a)]. 4029 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4028(a,1),223(a,1,2))]. 4030 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4028(a,1),985(a,1,2)),flip(a)]. 4032 (T(x,y) \ x) * (x * y) = y * x. [hyper(37,a,3977,a(flip),b,3954,a),flip(a)]. 4033 K(x,y) = T(T(y,x) \ y,y * x). [hyper(224,a,4032,a,b,96,a),flip(a)]. 4034 (x * y) / (y * x) = T(y,x) \ y. [hyper(135,a,4032,a)]. 4035 T(x,y / x) \ x = y / (x * (y / x)). [hyper(123,a,17,a(flip),b,4032,a),flip(a)]. 4036 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4032(a,1),294(a,1,1)),flip(b)]. 4038 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(15(a,1),4033(a,2,2)),flip(a)]. 4039 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(42,a,3870,a,b,4034,a(flip))]. 4040 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(17(a,1),4034(a,1,2)),flip(a)]. 4042 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2179(a,1),4039(a,1,2))]. 4043 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3801(a,1),4038(a,1,1))]. 4044 T(x \ T(x * y,y),x) = R(y,x,y). [para(3994(a,1),713(a,2,1)),flip(a)]. 4045 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3994(a,1),724(a,1,1))]. 4046 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4045(a,1),98(a,1,1))]. 4048 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(138,a,4001,a)]. 4050 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3176(a,1),4001(a,1,2))]. 4051 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(38,a,418,a,b,4030,a)]. 4052 (x * (y / x)) / y = (x \ y) \ (y / x). [para(118(a,1),4040(a,1,1)),flip(a)]. 4053 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(285,a,3799,a(flip),b,4052,a),flip(a)]. 4054 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(66,a,3807,a(flip),b,4053,a),flip(a)]. 4055 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(66,a,3785,a,b,4048,a)]. 4056 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4050(a,1),3882(a,1,2,1))]. 4057 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3994(a,1),4051(a,1,1))]. 4059 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(15(a,1),4023(a,1,2))]. 4060 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(66,a,3999,a(flip),b,3989,a),flip(a)]. 4061 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(66,a,625,a(flip),b,4060,a),flip(a)]. 4062 K(x,T(y,y * x)) = K(x,y). [hyper(66,a,625,a(flip),b,4061,a),flip(a)]. 4064 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [hyper(66,a,3051,a(flip),b,4024,a)]. 4066 R(K(x,y),x,z) = K(x,y). [hyper(285,a,4024,a,b,4064,a)]. 4068 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4066(a,1),112(a,1,1)),flip(a)]. 4069 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4066(a,1),3504(a,1,1,1)),flip(a)]. 4070 L(x,y,K(y,z)) = x. [hyper(445,a,4068,a)]. 4071 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3347(a,1),4068(a,1,1))]. 4072 L(x,y,K(y,z)) != u | u = x. [para(4070(a,1),53(a,1)),flip(a)]. 4074 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1139,a,4026,a),flip(a)]. 4076 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(609,a,4054,a)]. 4077 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [hyper(124,a,4076,a(flip),b,117,a(flip))]. 4078 T(x,(x / y) \ 1) = T(x,x \ y). [para(90(a,1),4076(a,1,2,2)),flip(a)]. 4079 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4076(a,1),249(a,1,2))]. 4081 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4076(a,1),3801(a,1,1)),flip(a)]. 4082 (x / y) \ T(x,x \ y) = x * (y / x). [para(4078(a,1),3828(a,1,2))]. 4083 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(90(a,1),4077(a,1,2,2))]. 4084 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3029(a,1),4077(a,1,2))]. 4085 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3029(a,1),4079(a,1,2))]. 4086 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4082(a,1),1352(a,2,2,1))]. 4087 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4082(a,1),1666(a,1,1,2,1))]. 4088 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4076(a,1),4012(a,1,1))]. 4089 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2960(a,1),4088(a,2,2))]. 4090 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(66,a,3771,a(flip),b,4074,a)]. 4091 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4074(a,1),3793(a,1,1)),flip(a)]. 4092 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(66,a,4081,a(flip),b,4090,a)]. 4093 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(285,a,1266,a,b,4092,a)]. 4094 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(285,a,1110,a,b,4092,a)]. 4095 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(285,a,883,a(flip),b,4092,a),flip(a)]. 4096 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4092(a,2),23(a,2,1)),flip(a)]. 4098 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4092(a,2),1396(a,1,1))]. 4099 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4092(a,2),3250(a,2,2)),flip(a)]. 4100 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4094(a,2),3168(a,1,1))]. 4101 T(x,y) \ x = y \ T(y,x). [para(3029(a,1),4095(a,1,1))]. 4102 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(285,a,3771,a(flip),b,4101,a),flip(a)]. 4104 (x * y) / x = y * (T(y,x) \ y). [hyper(124,a,4101,a,b,3768,a),flip(a)]. 4105 T(x,T(y,x)) = T(x,y). [hyper(42,a,3788,a,b,4101,a)]. 4106 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [hyper(124,a,2437,a,b,4101,a(flip))]. 4107 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4101(a,2),3947(a,1,2,1))]. 4108 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4101(a,2),3951(a,1,1)),flip(a)]. 4109 K(x,y) = T(x \ T(x,y),y * x). [para(4101(a,1),4033(a,2,1))]. 4110 x * (T(x,y) \ y) = T(y,x). [hyper(1063,a,4105,a)]. 4111 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(635,a,4105,a),flip(a)]. 4112 T(x,x \ y) \ y = T(x \ y,x). [hyper(634,a,4105,a)]. 4113 T(x,y) \ (x * y) = T(y,x). [hyper(633,a,4105,a)]. 4114 T((T(x,y) * y) / T(x,y),x) = y. [hyper(426,a,4105,a)]. 4115 R(T(x,x * y),y,x) = T(x,y). [hyper(66,a,4028,a,b,4105,a)]. 4116 (x / T(y,x)) * y = T(x,y). [hyper(66,a,3973,a,b,4105,a)]. 4118 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(66,a,4042,a(flip),b,4105,a),flip(a)]. 4119 T(x,y) * T(y,x) = x * y. [hyper(124,a,4105,a(flip),b,220,a)]. 4120 T(x,y) / y = x / T(y,x). [hyper(123,a,4105,a(flip),b,3973,a)]. 4121 T(x,y) \ y = x \ T(y,x). [hyper(122,a,4105,a(flip),b,1018,a),flip(a)]. 4122 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(28(a,1),4105(a,1,2))]. 4123 T(x,y / x) = T(x,x \ y). [para(118(a,1),4105(a,1,2)),flip(a)]. 4124 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4105(a,1),221(a,1,2,1))]. 4126 (x * y) / T(y,x) = T(x,y). [para(4105(a,1),251(a,1,2))]. 4127 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4105(a,1),222(a,1,2,1))]. 4128 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4105(a,1),223(a,1,2,1))]. 4129 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(4105(a,1),282(a,1,1)),flip(a)]. 4130 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(664(a,1),4105(a,1,2))]. 4131 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4105(a,1),591(a,1,2,1,1))]. 4133 T(x,y) * (y * x) = x * (x * y). [para(4105(a,1),3977(a,1,1))]. 4134 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4105(a,1),4029(a,1,2)),flip(a)]. 4136 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [hyper(124,a,4110,a(flip),b,2894,a)]. 4140 T(x,y) = (x \ (y * x)) \ (y * x). [para(27(a,1),4113(a,1,1)),flip(a)]. 4141 x * T(y,z) != z * y | T(z,y) = x. [para(4113(a,1),134(a,1,2)),flip(b)]. 4143 T(x / T(y,x),y) = y \ T(x,y). [hyper(224,a,4116,a,b,15,a)]. 4144 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(123,a,4105,a(flip),b,4116,a)]. 4145 T(x,y) = (x * (x * y)) / (y * x). [hyper(66,a,1223,a,b,4116,a),flip(a)]. 4147 T(x,y) * (x \ T(y,x)) = y. [hyper(1015,a,4119,a)]. 4148 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(124,a,4119,a(flip),b,176,a)]. 4149 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4119(a,1),19(a,2,1,2)),flip(a)]. 4150 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4119(a,1),19(a,2,2,1)),flip(a)]. 4151 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4119(a,1),23(a,2,1)),flip(a)]. 4152 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4119(a,1),105(a,2,1))]. 4153 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4119(a,1),475(a,2,2))]. 4154 (T(x,y) / y) \ x = T(y,x). [hyper(180,a,4120,a(flip))]. 4155 x / (y \ T(x,y)) = T(y,x). [hyper(185,a,4121,a)]. 4157 x * (T(x,y) \ y) != z | T(y,x) = z. [para(4121(a,2),240(a,1,2)),flip(b)]. 4158 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4121(a,1),94(a,1,1,2,1))]. 4159 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4121(a,2),1435(a,2,1))]. 4160 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4121(a,1),1828(a,1,2,1))]. 4161 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4121(a,1),1727(a,1,2,1))]. 4162 T(x,y / x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4123,a),flip(a)]. 4163 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(66,a,731,a,b,4123,a)]. 4164 (x / y) * T(y,y \ x) = y * (x / y). [hyper(124,a,4123,a(flip),b,27,a(flip))]. 4165 (x * (y / x)) / T(x,x \ y) = y / x. [para(4123(a,1),179(a,1,2))]. 4166 x / T(y,x / y) = y \ x. [para(4123(a,2),249(a,1,2))]. 4167 T(x,y / x) != z | (x \ y) \ y = z. [para(4123(a,2),632(a,1))]. 4169 (x * (y / x)) * x = y * T(x,x \ y). [para(4123(a,1),857(a,2,2))]. 4170 T(x,T(y,x / y)) = T(x,y). [para(4123(a,2),3979(a,1,2))]. 4171 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(32(a,2),4126(a,1,2))]. 4172 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4126(a,1),744(a,1,1)),flip(a)]. 4174 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4154(a,1),312(a,1,2,1,2))]. 4175 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ T(1,y),(y \ T(1,y)) \ 1) / T(y,1). [para(4155(a,1),2735(a,2,2))]. 4178 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4162(a,1),857(a,2,2))]. 4179 x / T(y \ x,y) = (y \ x) \ x. [para(87(a,1),4166(a,1,2,2))]. 4180 T(x * y,T(y,x)) = T(x * y,y). [para(16(a,1),4170(a,1,2,2))]. 4181 T(x,x * (y / x)) = T(x,y). [hyper(45,a,731,a,b,4115,a),flip(a)]. 4182 T(x,y * x) = T(x,x * y). [hyper(45,a,727,a,b,4115,a)]. 4183 R(T(x,y),x \ y,x) = T(x,x \ y). [para(15(a,1),4115(a,1,1,2))]. 4184 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4181(a,1),3965(a,2,1))]. 4185 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4181(a,1),4116(a,1,1,2))]. 4186 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4181(a,1),4147(a,1,1))]. 4187 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(66,a,32,a,b,4182,a)]. 4188 T(x,(x \ y) * x) = T(x,y). [para(15(a,1),4182(a,2,2))]. 4189 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4182(a,1),28(a,1,1))]. 4190 x * T(y,x * y) = L(y,x,y) * x. [para(4182(a,2),667(a,1,2))]. 4191 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4182(a,1),752(a,1,2))]. 4192 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4182(a,2),671(a,1,2,1))]. 4193 K(x,T(y,x * y)) = K(x,y). [para(4182(a,2),4062(a,1,2))]. 4194 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(124,a,4188,a(flip),b,753,a),flip(a)]. 4195 T(x \ y,x * (y / x)) = T(x \ y,y). [para(4014(a,1),4188(a,1,2))]. 4196 K(x,T(x \ y,y)) = K(x,x \ y). [para(15(a,1),4193(a,1,2,2))]. 4197 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(285,a,3802,a,b,4104,a),flip(a)]. 4198 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),208(a,1,1))]. 4199 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4104(a,2),4050(a,1,2)),flip(a)]. 4200 T(x / (x / y),y \ x) = y. [para(3802(a,2),4198(a,1,1))]. 4201 (x / (x / y)) * (y \ x) = (y \ x) * y. [hyper(124,a,4200,a(flip),b,27,a(flip)),flip(a)]. 4202 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4200(a,1),28(a,1,1)),flip(a)]. 4203 T(x / (x / (x / y)),y) = x / y. [para(90(a,1),4200(a,1,2))]. 4205 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(285,a,3845,a(flip),b,4109,a)]. 4206 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4111(a,1),695(a,1,1))]. 4207 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(285,a,4044,a(flip),b,4112,a),flip(a)]. 4208 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2917(a,1),4112(a,1,1)),flip(a)]. 4209 T(x,(1 / x) * y) = T(x,x \ y). [hyper(66,a,2954,a,b,4118,a)]. 4210 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(66,a,2903,a(flip),b,4118,a),flip(a)]. 4211 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(15(a,1),4118(a,1,2)),flip(a)]. 4212 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4118(a,1),3872(a,2,1,2))]. 4213 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4133(a,1),858(a,1,1))]. 4214 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4133(a,1),1574(a,2,2,1)),flip(a)]. 4215 ((x / y) * x) / (y * (x / y)) = T(x / y,y). [para(17(a,1),4145(a,2,1,2)),flip(a)]. 4216 (x * (y / x)) / x = y / (y / (y / x)). [hyper(254,a,4203,a)]. 4217 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4203(a,1),702(a,1,1))]. 4218 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(15(a,1),4209(a,1,2)),flip(a)]. 4219 x / T(y,(1 / y) * x) = y \ x. [para(4209(a,2),249(a,1,2))]. 4220 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(4211(a,1),3979(a,1,2))]. 4221 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [hyper(124,a,4218,a(flip),b,117,a(flip))]. 4222 T(x,T(y,x)) != z | T(x,y) = z. [para(1018(a,1),4157(a,1))]. 4223 T(x,x \ y) != z | T(x,y / x) = z. [para(118(a,1),4222(a,1,2))]. 4225 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4183,a),flip(a)]. 4227 L(x,y,(y * x) / y) = L(x,y,x). [hyper(871,a,4190,a)]. 4228 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(755,a,4190,a)]. 4229 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(754,a,4190,a)]. 4230 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4190,a)]. 4231 (x * (y * x)) / x = L(x,y,x) * y. [hyper(66,a,741,a,b,4190,a)]. 4232 T(L(x,y,x) * y,x) = y * x. [para(4190(a,1),738(a,1,1))]. 4233 (L(x,y,x) * y) * x = x * (y * x). [para(4190(a,1),739(a,1,1))]. 4234 T(x,L(x,y,x) * y) = T(x,y * x). [para(4232(a,1),4105(a,1,2)),flip(a)]. 4236 T((x * y) / x,L(x,y,x)) = y. [hyper(1577,a,4229,a)]. 4237 T(x,L(y,x,y)) = T(x,y). [para(4236(a,1),253(a,1,1)),flip(a)]. 4238 T(x,T(y,y * x)) = T(x,y). [hyper(66,a,4130,a,b,4237,a)]. 4239 L(x,y,x) * T(y,x) = y * L(x,y,x). [hyper(124,a,4237,a(flip),b,27,a(flip))]. 4241 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4238(a,1),222(a,1,2,1))]. 4242 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4238(a,1),223(a,1,2,1))]. 4245 L(R(x,y,x),y,x) = x. [hyper(38,a,472,a,b,4233,a(flip))]. 4247 R(x,y,T(x,y)) = R(x,y,x). [hyper(44,a,1059,a,b,4245,a)]. 4248 x \ T(y * x,y) = R(y,x,y). [hyper(44,a,450,a,b,4245,a)]. 4250 x * R(y,x,y) = T(y * x,y). [hyper(124,a,4247,a(flip),b,1057,a)]. 4251 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4105(a,1),4247(a,1,3))]. 4252 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(15(a,1),4248(a,1,2,1)),flip(a)]. 4253 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4248(a,1),105(a,1,1)),flip(a)]. 4254 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4250(a,1),304(a,1,2)),flip(b)]. 4255 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4250(a,1),1633(a,1,1))]. 4256 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4250(a,1),2550(a,2,1))]. 4257 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(285,a,4182,a(flip),b,4234,a),flip(a)]. 4258 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(672(a,1),4234(a,1,2))]. 4259 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4257(a,1),1220(a,1,1))]. 4260 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(87(a,1),4100(a,1,1,1,2)),flip(a)]. 4261 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(66,a,4035,a(flip),b,4102,a)]. 4262 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(37,a,1064,a,b,4107,a),flip(a)]. 4263 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(285,a,4048,a,b,4108,a)]. 4264 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4159(a,2),4145(a,2,2)),flip(a)]. 4265 (x * T(y,y \ x)) / y = y * (x / y). [hyper(66,a,1206,a,b,4164,a)]. 4266 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4120(a,1),4164(a,1,1))]. 4267 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(123,a,4169,a(flip),b,1203,a)]. 4268 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(122,a,4169,a(flip),b,645,a)]. 4270 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4178(a,1),275(a,1,1))]. 4271 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(66,a,28,a,b,4189,a),flip(a)]. 4272 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1705(a,1),4189(a,1,1)),flip(a)]. 4273 T(x / (x / y),x) = L(y,y \ x,y). [para(4197(a,1),676(a,1,1))]. 4274 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4273(a,1),28(a,1,1)),flip(a)]. 4275 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4273(a,2),34(a,1,1))]. 4276 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(66,a,1231,a,b,4201,a)]. 4277 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4239(a,1),47(a,1)),flip(a)]. 4278 K(x \ y,x) \ x = x * K(x,y / x). [hyper(66,a,3810,a(flip),b,4260,a),flip(a)]. 4281 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(4134(a,1),294(a,1,1)),flip(b)]. 4282 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2835(a,2),4106(a,1,2))]. 4283 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(122,a,4119,a(flip),b,4124,a)]. 4284 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(30(a,2),4283(a,1,1))]. 4285 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(632,a,4210,a),flip(a)]. 4286 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(15(a,1),4285(a,1,2)),flip(a)]. 4287 ((x / y) * x) / (y * (x / y)) = y \ x. [hyper(285,a,118,a(flip),b,4215,a),flip(a)]. 4288 (x * (y / x)) \ ((y / x) * y) = T(x \ y,x * (y / x)). [para(4287(a,1),118(a,1,1)),flip(a)]. 4289 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(285,a,4188,a(flip),b,4258,a),flip(a)]. 4290 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4289(a,1),1218(a,1,1))]. 4291 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(285,a,1265,a(flip),b,4262,a)]. 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(66,a,1302,a,b,4263,a)]. 4294 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(285,a,28,a,b,4272,a),flip(a)]. 4295 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(124,a,994,a(flip),b,4292,a)]. 4296 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(66,a,1300,a,b,4295,a)]. 4297 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(285,a,999,a,b,4296,a),flip(a)]. 4298 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(285,a,30,a,b,4274,a),flip(a)]. 4299 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(285,a,3795,a(flip),b,4091,a),flip(a)]. 4300 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4222,a,4299,a),flip(a)]. 4301 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4222,a,4300,a),flip(a)]. 4303 T(x,y / (z * y)) = T(x,z \ 1). [para(14(a,1),4301(a,1,2,1))]. 4304 T(x,(y / z) \ 1) = T(x,z / y). [para(90(a,1),4301(a,1,2,1)),flip(a)]. 4306 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(4167,a,4303,a),flip(a)]. 4311 x / T(y * x,y \ 1) = (y * x) \ x. [para(4303(a,1),4166(a,1,2))]. 4312 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4304(a,1),3880(a,1,1,2))]. 4313 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(66,a,3029,a(flip),b,4306,a)]. 4314 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(124,a,3029,a(flip),b,4306,a(flip))]. 4315 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(90(a,1),4306(a,1,2))]. 4316 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(66,a,2180,a(flip),b,4313,a),flip(a)]. 4317 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4313(a,2),4111(a,2,1))]. 4318 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(224,a,4314,a,b,15,a)]. 4320 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4315(a,2),4111(a,2,1))]. 4321 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(285,a,4094,a(flip),b,4098,a),flip(a)]. 4322 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(662(a,1),4127(a,1,2))]. 4323 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(285,a,4239,a(flip),b,4322,a),flip(a)]. 4325 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4182(a,2),4323(a,1,2))]. 4326 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(66,a,674,a,b,4325,a)]. 4328 L(x,T(y,x),x) = L(x,y,x). [hyper(4277,a,4326,a),flip(a)]. 4329 T(x * L(y,x,y),y) = T(x,y) * y. [para(4326(a,1),4232(a,1,1))]. 4330 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(285,a,4228,a,b,4328,a)]. 4331 L(x,y / x,x) = L(x,x \ y,x). [para(118(a,1),4328(a,1,2)),flip(a)]. 4332 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(664(a,1),4328(a,1,2))]. 4333 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4128(a,1),212(a,1,1,2))]. 4334 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4115(a,1),4128(a,1,2)),flip(a)]. 4335 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4163(a,1),4128(a,1,2)),flip(a)]. 4336 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4183(a,1),4128(a,1,2)),flip(a)]. 4337 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1440(a,1),4186(a,1,2))]. 4338 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4120(a,1),4337(a,1,2))]. 4339 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4338(a,1),46(a,1)),flip(a)]. 4341 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4118(a,1),4205(a,1,2,2,1))]. 4342 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(138,a,4341,a),flip(a)]. 4343 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3847,a,4342,a)]. 4344 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4343(a,1),433(a,1,2))]. 4345 K(x * y,T(y,x)) = K(y * x,y). [hyper(310,a,4213,a),flip(a)]. 4346 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4213(a,1),310(a,1))]. 4347 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(285,a,3851,a(flip),b,4321,a),flip(a)]. 4348 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1770(a,1),4171(a,1,2,1))]. 4349 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4192(a,1),1687(a,1,1))]. 4350 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(285,a,4255,a(flip),b,4334,a),flip(a)]. 4351 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4350(a,1),4253(a,1,2))]. 4352 R(x,y / x,x) = R(x,x \ y,x). [hyper(38,a,4335,a,b,4336,a)]. 4354 R(x,(x * y) / x,x) = R(x,y,x). [para(14(a,1),4352(a,2,2))]. 4355 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4352(a,1),467(a,1,1))]. 4356 R(x,T(y,x),x) = R(x,y,x). [para(209(a,1),4354(a,1,2)),flip(a)]. 4357 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(66,a,4251,a,b,4356,a)]. 4358 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4357(a,1),32(a,2,1))]. 4359 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4357(a,1),36(a,1,1)),flip(a)]. 4361 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(285,a,32,a,b,4358,a),flip(a)]. 4362 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4361(a,1),32(a,2,1))]. 4364 (x * (y / x)) \ ((y / x) * y) = T(x \ y,y). [hyper(285,a,4195,a(flip),b,4288,a),flip(a)]. 4365 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(66,a,1283,a(flip),b,4291,a),flip(a)]. 4366 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3029(a,1),4347(a,1,1,1)),flip(a)]. 4367 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(185,a,4366,a)]. 4368 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(66,a,3338,a(flip),b,4367,a)]. 4369 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(718(a,1),4368(a,1,1,1,1)),flip(a)]. 4370 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(285,a,32,a,b,4362,a),flip(a)]. 4371 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4359(a,1),4148(a,1,1)),flip(a)]. 4372 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(285,a,638,a(flip),b,4217,a),flip(a)]. 4373 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4216(a,2),4372(a,1,2))]. 4374 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(16(a,1),4312(a,1,1,2,2))]. 4375 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(66,a,3220,a(flip),b,4374,a),flip(a)]. 4376 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4375(a,1),3782(a,1,1))]. 4377 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3798,a,4376,a)]. 4378 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(92(a,1),4376(a,1,2))]. 4380 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(117(a,1),4378(a,1,1,2))]. 4381 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(185,a,4380,a)]. 4382 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(285,a,4053,a,b,4381,a)]. 4384 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(285,a,242,a(flip),b,4377,a),flip(a)]. 4385 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3843(a,1),4384(a,1,3))]. 4386 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(285,a,452,a(flip),b,4385,a),flip(a)]. 4387 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4386(a,1),3383(a,1,2,2,1,2))]. 4389 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3951(a,1),4004(a,2,2))]. 4390 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2925(a,1),4005(a,1,2))]. 4391 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(66,a,3503,a(flip),b,4390,a),flip(a)]. 4392 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(285,a,4124,a(flip),b,4172,a),flip(a)]. 4393 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(285,a,4013,a(flip),b,4212,a),flip(a)]. 4394 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(66,a,2534,a(flip),b,4267,a),flip(a)]. 4395 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(414(a,1),4387(a,1,2)),flip(a)]. 4397 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,4395,a)]. 4398 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [hyper(123,a,82,a(flip),b,4395,a)]. 4399 L(x,y,K(z,y)) = x. [para(115(a,1),4397(a,1,2))]. 4400 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1176,a,4399,a),flip(a)]. 4401 a(K(x,y),y,z) = 1. [hyper(56,a,4399,a)]. 4402 L(x,y,T(y,z) \ y) = x. [para(3175(a,1),4399(a,1,3))]. 4403 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4402(a,1),3871(a,1,2)),flip(a)]. 4404 L(x,T(y,z) \ y,y) = x. [hyper(285,a,15,a(flip),b,4403,a),flip(a)]. 4408 L(x,K(y,z),z) = x. [para(4093(a,2),4404(a,1,2))]. 4409 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1176,a,4408,a),flip(a)]. 4411 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4408(a,1),178(a,1,2))]. 4413 R(K(x,y),y,z) = K(x,y). [hyper(475,a,4400,a)]. 4414 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3186(a,1),4400(a,1,1))]. 4415 R(x,K(y,x),z) = x. [hyper(475,a,4409,a)]. 4416 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4409(a,1),23(a,2,1)),flip(a)]. 4418 R(T(x,y),K(z,x),u) = T(x,y). [para(4415(a,1),32(a,2,1))]. 4419 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4415(a,1),471(a,1,1,1)),flip(a)]. 4420 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4415(a,1),473(a,1,1,1)),flip(a)]. 4423 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(285,a,3842,a(flip),b,4418,a),flip(a)]. 4424 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(516,a,4414,a)]. 4425 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(285,a,152,a(flip),b,4414,a),flip(a)]. 4426 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(122,a,84,a(flip),b,4414,a)]. 4427 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(66,a,4409,a(flip),b,4414,a),flip(a)]. 4428 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(66,a,4409,a(flip),b,4425,a)]. 4430 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(66,a,3555,a(flip),b,4426,a),flip(a)]. 4431 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(124,a,3555,a(flip),b,4426,a(flip))]. 4433 R(x,K(y,x) \ 1,z) = x. [para(4430(a,1),4003(a,1,2))]. 4435 K(x \ y,x) \ 1 = K(x,y / x). [hyper(37,a,4278,a(flip),b,4431,a),flip(a)]. 4436 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(122,a,4431,a(flip),b,3472,a)]. 4438 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4431(a,1),176(a,1,2,1))]. 4439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(4431(a,1),3475(a,1,1))]. 4441 K(x,(x * y) / x) = K(y,x) \ 1. [para(14(a,1),4435(a,1,1,1)),flip(a)]. 4443 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(4436(a,1),884(a,1,2,1))]. 4444 K(T(x,y),y) \ 1 = K(y,x). [para(209(a,1),4441(a,1,2)),flip(a)]. 4446 K(T(x,y),y) * K(y,x) = 1. [hyper(138,a,4444,a)]. 4447 K(T(x,y),y) = K(y,x) \ 1. [hyper(42,a,2510,a,b,4444,a),flip(a)]. 4448 R(x,K(x,y),z) = x. [para(4444(a,1),4433(a,1,2))]. 4450 R(T(x,y),K(x,z),u) = T(x,y). [para(4448(a,1),32(a,2,1))]. 4451 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4448(a,1),472(a,1,1,1)),flip(a)]. 4452 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4448(a,1),473(a,1,1,1)),flip(a)]. 4454 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4448(a,1),3212(a,1,1)),flip(a)]. 4455 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4446(a,1),304(a,1,2)),flip(b)]. 4457 x * K(T(y,x),x) = K(x,y) \ x. [hyper(124,a,4447,a,b,3522,a)]. 4458 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4450(a,1),473(a,1,1,1)),flip(a)]. 4459 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(118(a,1),4455(a,1,1,1))]. 4460 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4447(a,2),4455(a,1))]. 4463 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4427(a,1),303(a,1))]. 4465 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),442(a,1,1))]. 4467 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(138,a,4439,a)]. 4468 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(66,a,4071,a(flip),b,4454,a)]. 4469 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(4467(a,1),2699(a,1,1)),flip(a)]. 4470 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4468(a,1),375(a,1,2))]. 4471 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4447(a,2),4459(a,1))]. 4472 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4027(a,2),4460(a,1))]. 4474 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(66,a,280,a(flip),b,4443,a),flip(a)]. 4475 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(176(a,1),4463(a,1,2,2))]. 4477 R(K(x,y),x,z) != u | K(x,y) = u. [para(4024(a,2),4472(a,1))]. 4478 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3195(a,1),4420(a,1,1))]. 4479 T(x,y * K(x,y)) = T(x,y). [hyper(4470,a,4424,a),flip(a)]. 4480 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4479(a,1),4349(a,2,2))]. 4481 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3354(a,1),4451(a,1,1))]. 4482 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(66,a,278,a(flip),b,4474,a),flip(a)]. 4483 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(4478(a,1),475(a,1))]. 4484 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3842(a,1),4423(a,1,1))]. 4485 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(66,a,3380,a(flip),b,4484,a)]. 4487 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(136,a,4485,a)]. 4488 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(285,a,4482,a(flip),b,4469,a),flip(a)]. 4489 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(4488(a,1),2320(a,1,2,2))]. 4490 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(66,a,4185,a(flip),b,4394,a),flip(a)]. 4491 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(285,a,1443,a(flip),b,4490,a),flip(a)]. 4492 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(37,a,4266,a,b,4491,a)]. 4493 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4492(a,1),249(a,1,2))]. 4494 T(x,T(x,y) \ y) = T(x,x \ y). [para(4121(a,2),4492(a,1,2))]. 4495 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(14(a,1),4493(a,1,2,2))]. 4496 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(285,a,4331,a(flip),b,3970,a),flip(a)]. 4497 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4375(a,1),4055(a,1,1))]. 4498 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4059,a,4497,a),flip(a)]. 4499 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4023,a,4497,a),flip(a)]. 4504 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(66,a,4365,a(flip),b,4498,a),flip(a)]. 4505 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(66,a,4262,a(flip),b,4498,a)]. 4509 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(122,a,15,a(flip),b,4499,a)]. 4510 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(66,a,4108,a,b,4499,a)]. 4511 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(122,a,4499,a(flip),b,4048,a),flip(a)]. 4512 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),3954(a,1,2)),flip(a)]. 4513 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),4107(a,1,2)),flip(a)]. 4515 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [hyper(124,a,4510,a(flip),b,4292,a)]. 4516 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4513(a,1),4151(a,1,2))]. 4517 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(66,a,838,a(flip),b,4505,a)]. 4518 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(66,a,3984,a(flip),b,4511,a),flip(a)]. 4519 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(15(a,1),4515(a,1,1,1)),flip(a)]. 4520 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(4515(a,1),95(a,1,1)),flip(a)]. 4521 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(447,a,4516,a),flip(a)]. 4522 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(66,a,4152,a(flip),b,4521,a)]. 4523 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(118(a,1),4521(a,1,2))]. 4524 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(691,a,4518,a),flip(a)]. 4525 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(13(a,1),4522(a,1,2)),flip(a)]. 4526 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(118(a,1),4522(a,2,1,1))]. 4527 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(285,a,212,a(flip),b,4520,a),flip(a)]. 4528 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4513(a,1),4150(a,1,1))]. 4529 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(647,a,4528,a),flip(a)]. 4530 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4528(a,1),647(a,1))]. 4531 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(285,a,473,a(flip),b,4371,a),flip(a)]. 4532 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1168(a,1),4531(a,1,1))]. 4533 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(122,a,4255,a(flip),b,4532,a(flip))]. 4534 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4433(a,1),4438(a,1,1))]. 4535 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(138,a,4534,a)]. 4536 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(37,a,4487,a(flip),b,4535,a),flip(a)]. 4538 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(2190,a,4536,a)]. 4540 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(128,a,4536,a)]. 4542 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [para(116(a,1),4536(a,1,2))]. 4543 L(x,K(y,z),K(T(z,y),y)) = x. [para(4444(a,1),4538(a,1,2))]. 4544 K(T(x,y),y) * z = K(y,x) \ z. [para(4444(a,1),4540(a,1,1)),flip(a)]. 4545 x / (x * K(y,x)) = K(y,x) \ 1. [hyper(123,a,3185,a(flip),b,4542,a)]. 4546 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(14(a,1),4496(a,2,2))]. 4547 L(x,y,T(x,y)) = L(x,y,x). [hyper(66,a,4214,a(flip),b,4546,a)]. 4548 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(4123(a,1),4526(a,1,2,1))]. 4549 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(285,a,4245,a(flip),b,4057,a),flip(a)]. 4551 T(x,x \ T(x * y,y)) = T(x,y). [para(4549(a,1),3995(a,1,2)),flip(a)]. 4552 K(x,x \ T(x * y,y)) = K(x,y). [para(4549(a,1),4196(a,1,2)),flip(a)]. 4553 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4551(a,1),4207(a,1,1))]. 4554 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(66,a,4046,a,b,4552,a),flip(a)]. 4555 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(27(a,1),4553(a,1,1))]. 4556 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4250(a,1),4554(a,2,1))]. 4557 K(x \ T(x * y,x),x) = K(y,x). [hyper(285,a,1448,a(flip),b,4556,a)]. 4558 K(x \ T(y,x),x) = K(x \ y,x). [para(15(a,1),4557(a,1,1,2,1))]. 4559 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(208(a,1),4558(a,1,1,2)),flip(a)]. 4560 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4199(a,2),4559(a,1,1))]. 4561 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4560(a,1),4056(a,1,2)),flip(a)]. 4562 T(x,(y \ x) * y) = x. [hyper(38,a,3985,a,b,4561,a(flip))]. 4563 T((x \ y) * x,y) = (x \ y) * x. [hyper(57,a,4562,a)]. 4564 T(x,y * (x / y)) = x. [para(90(a,1),4562(a,1,2,1))]. 4565 T(x * (y / x),y) = x * (y / x). [para(91(a,1),4562(a,1,2))]. 4566 T(T(x,y),z * (x / z)) = T(x,y). [para(4564(a,1),28(a,1,1)),flip(a)]. 4567 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4565(a,2),4382(a,1,1))]. 4568 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3857(a,1),4567(a,1,1,1)),flip(a)]. 4570 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3029(a,1),4136(a,1,2))]. 4571 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(66,a,2430,a,b,4570,a)]. 4572 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4571(a,2),1490(a,2,2,1,2))]. 4573 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(66,a,3027,a(flip),b,4208,a),flip(a)]. 4574 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(90(a,1),4573(a,1,1,2)),flip(a)]. 4575 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4110(a,1),4264(a,1,1,2))]. 4576 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(116(a,1),4575(a,1,1))]. 4577 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(285,a,4494,a(flip),b,4576,a),flip(a)]. 4578 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3388(a,1),4391(a,1,1)),flip(a)]. 4579 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4393(a,1),4568(a,1,2)),flip(a)]. 4580 ((x \ y) * x) / y = y / (x * (y / x)). [para(4563(a,1),4579(a,1,1))]. 4581 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(285,a,4261,a(flip),b,4580,a),flip(a)]. 4582 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2387(a,1),4574(a,2,1))]. 4583 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3610(a,1),4582(a,1,1))]. 4584 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4583(a,1),4529(a,1,1))]. 4585 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(66,a,4509,a(flip),b,4096,a)]. 4586 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(66,a,4533,a(flip),b,4351,a),flip(a)]. 4588 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4409(a,1),4416(a,1,2))]. 4589 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(66,a,4389,a(flip),b,4585,a)]. 4590 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4510(a,1),4589(a,1,2)),flip(a)]. 4592 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4590(a,2),556(a,1))]. 4594 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(993(a,1),4086(a,1,1,2,1))]. 4595 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(552,a,4489,a),flip(a)]. 4596 K(x,(y \ 1) \ 1) = K(x,y). [hyper(285,a,617,a(flip),b,4595,a)]. 4597 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(4595(a,2),618(a,1))]. 4598 K(x,1 / y) = K(x,y \ 1). [para(90(a,1),4596(a,1,2,1)),flip(a)]. 4599 K(x,1 / (1 / y)) = K(x,y). [para(184(a,1),4596(a,1,2)),flip(a)]. 4600 K(x,T(y / z,z / y)) = K(x,y / z). [para(1959(a,2),4596(a,1,2))]. 4601 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2379(a,2),4596(a,1,2))]. 4604 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3429(a,2),4596(a,1,2))]. 4609 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(66,a,1314,a,b,4599,a)]. 4610 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3612(a,1),4599(a,1,2))]. 4611 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(282(a,2),4601(a,1,2))]. 4612 K(x,T(L(1 / y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u) \ 1,w)). [para(2604(a,1),4601(a,1,2,1,1)),flip(a)]. 4613 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(3423(a,1),4601(a,1,2,1)),flip(a)]. 4614 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(66,a,3072,a,b,4610,a)]. 4615 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4320(a,1),4613(a,1,2)),flip(a)]. 4616 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4609(a,1,1,2))]. 4617 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3968(a,1),4594(a,1,1,2,1))]. 4618 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(90(a,1),4373(a,2,1,2))]. 4619 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(66,a,1088,a(flip),b,4256,a),flip(a)]. 4620 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2415(a,1),4619(a,1,1)),flip(a)]. 4621 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(123,a,4620,a(flip),b,1088,a)]. 4623 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),4465(a,1,2))]. 4624 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(66,a,4588,a(flip),b,4623,a),flip(a)]. 4625 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4348,a),flip(a)]. 4627 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3860(a,1),4614(a,1,2)),flip(a)]. 4628 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1154(a,1),4333(a,1,1))]. 4629 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1174(a,1),4628(a,1,2))]. 4630 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(647,a,4629,a),flip(a)]. 4631 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4529,a,b,4630,a)]. 4632 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4105(a,1),4631(a,1,1))]. 4633 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3027(a,1),4616(a,1,2,1,2))]. 4634 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4633(a,1,2,1))]. 4635 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3027(a,1),4634(a,2,1,2))]. 4636 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(116(a,1),4635(a,2,1))]. 4637 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(66,a,2210,a(flip),b,4636,a)]. 4638 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1880(a,1),4637(a,1,1,2))]. 4639 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(87(a,1),4638(a,1,1,2,2))]. 4640 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3025(a,2),4638(a,1,1))]. 4641 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(17(a,1),4640(a,2,1))]. 4642 K(K(x \ 1,x) * y,x) = K(y,x). [para(3008(a,1),4641(a,1,1))]. 4643 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(2621(a,1),4642(a,1,1,1))]. 4644 K(K(x,x \ 1) * y,x) = K(y,x). [para(2847(a,1),4642(a,1,1)),flip(a)]. 4645 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2915(a,1),4642(a,1,1))]. 4646 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2249(a,2),4644(a,1,1))]. 4647 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3001(a,1),4645(a,1,1))]. 4648 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2974(a,1),4643(a,1,1)),flip(a)]. 4649 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2947(a,1),4646(a,1,1,1))]. 4650 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(66,a,920,a,b,4647,a)]. 4651 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4598,a,b,4648,a)]. 4652 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(66,a,4627,a,b,4650,a),flip(a)]. 4653 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(285,a,4343,a(flip),b,4652,a),flip(a)]. 4654 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(285,a,4596,a(flip),b,4653,a),flip(a)]. 4655 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(66,a,4647,a,b,4654,a)]. 4656 K((x \ 1) * y,x) = K(x \ y,x). [para(14(a,1),4654(a,1,1,2)),flip(a)]. 4657 K((1 / x) * y,x) = K(x \ y,x). [para(14(a,1),4655(a,1,1,2)),flip(a)]. 4658 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4651,a(flip),b,4657,a),flip(a)]. 4659 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(27(a,2),4657(a,2,1))]. 4660 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(87(a,1),4657(a,1,1,1)),flip(a)]. 4661 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(890(a,1),4659(a,1,1))]. 4662 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(66,a,4649,a(flip),b,4661,a)]. 4663 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4662(a,1),4444(a,1,1))]. 4664 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4455,a,4663,a),flip(a)]. 4665 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(66,a,3122,a(flip),b,4664,a),flip(a)]. 4666 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2933(a,2),4664(a,1,2,1)),flip(a)]. 4667 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3342(a,1),3416(a,1,2)),flip(a)]. 4668 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(285,a,3379,a(flip),b,4667,a),flip(a)]. 4670 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(4668(a,1),3438(a,1,2)),flip(a)]. 4671 1 / (K(x,y) \ y) = K(x,y) / y. [para(1266(a,2),4670(a,1,1)),flip(a)]. 4672 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(180,a,4671,a)]. 4673 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),3049(a,1,1))]. 4674 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),4673(a,1,2,3))]. 4675 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2754(a,1),4674(a,1,2)),flip(a)]. 4676 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3045(a,1),4675(a,1,1))]. 4677 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1927(a,1),4676(a,1,2))]. 4678 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2437(a,1),4676(a,1,1)),flip(a)]. 4679 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(66,a,3035,a(flip),b,4677,a),flip(a)]. 4680 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(285,a,3099,a(flip),b,4679,a),flip(a)]. 4681 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(285,a,2712,a(flip),b,4680,a),flip(a)]. 4682 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(66,a,4681,a(flip),b,4678,a)]. 4683 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1927(a,1),4682(a,2,2))]. 4684 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(285,a,3035,a(flip),b,4683,a),flip(a)]. 4685 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(285,a,3375,a(flip),b,4684,a),flip(a)]. 4686 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3252(a,1),4685(a,1,1))]. 4687 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(66,a,3506,a(flip),b,4686,a)]. 4688 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(4687(a,1),835(a,1,1))]. 4689 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(66,a,457,a(flip),b,4688,a),flip(a)]. 4690 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(285,a,21,a,b,4689,a)]. 4691 L(K(x,y),y \ 1,y) = K(x,y). [para(21(a,2),4690(a,2,1)),flip(a)]. 4692 (1 / x) * K(y,x) = K(y,x) / x. [para(4691(a,1),3499(a,1,1)),flip(a)]. 4693 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(122,a,4692,a(flip),b,2085,a)]. 4695 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(90(a,1),3115(a,1,1,3))]. 4696 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2712(a,1),4695(a,1,1))]. 4697 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3760(a,1),4696(a,1,1)),flip(a)]. 4698 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(12(a,1),4697(a,2,1,1,2))]. 4699 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(90(a,1),4698(a,2,2))]. 4700 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3926(a,1),4699(a,1,1))]. 4701 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4700(a,1),46(a,1))]. 4702 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4165(a,1),4087(a,1,1,2)),flip(a)]. 4703 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(285,a,2775,a(flip),b,4702,a),flip(a)]. 4704 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4082(a,1),4703(a,1,3))]. 4705 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(90(a,1),4089(a,1,1,2))]. 4706 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(30(a,2),4705(a,1,1))]. 4707 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4706(a,1,1))]. 4708 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(90(a,1),4707(a,1,2,2,2))]. 4709 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(30(a,2),4708(a,1,2,2))]. 4710 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4709(a,1,2,2))]. 4711 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(14(a,1),4710(a,1,2))]. 4713 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ T(1,y)) \ 1) / T(y,1). [para(188(a,1),4175(a,2,1,2,2))]. 4714 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ 1) \ 1) / T(y,1). [para(188(a,1),4713(a,2,1,3,1,2))]. 4717 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / T(y,1). [para(2969(a,1),4714(a,2,1))]. 4718 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(186(a,1),4717(a,2,2))]. 4719 L(x / ((y \ 1) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4718(a,1,1,2,1,2))]. 4720 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4719(a,1,2,1,2))]. 4722 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) = L(x,y \ 1,y) / y. [para(188(a,1),4720(a,1,3,2))]. 4725 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3285(a,2),3302(a,2,2,2))]. 4726 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4725(a,1,1))]. 4727 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4726(a,1,2,1,3))]. 4728 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3962(a,1),4727(a,1,2,1))]. 4729 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),1259(a,1,2,2,1,1))]. 4730 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),4729(a,1,2,2,2))]. 4731 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),L(z,y,x)). [para(23(a,2),4730(a,2,2))]. 4732 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(17(a,1),2462(a,1,2,1))]. 4733 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(85(a,1),4732(a,1,2))]. 4735 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(311,a,4733,a),flip(a)]. 4738 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2556(a,1),4735(a,1,1))]. 4739 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(597(a,1),3501(a,1,1)),flip(a)]. 4740 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(597(a,1),4265(a,1,1,2))]. 4741 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(66,a,4276,a(flip),b,4740,a),flip(a)]. 4742 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(90(a,1),4739(a,1,2,1,1,1))]. 4743 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(37,a,2942,a,b,4742,a)]. 4744 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(123,a,3483,a(flip),b,4742,a(flip))]. 4745 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(124,a,4743,a(flip),b,2920,a)]. 4746 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4578(a,1),4744(a,1,2))]. 4747 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4746(a,1),288(a,1,1)),flip(a)]. 4748 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4745(a,1),3396(a,1,2))]. 4749 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(447,a,4748,a),flip(a)]. 4751 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(66,a,3668,a(flip),b,4749,a),flip(a)]. 4752 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(66,a,105,a(flip),b,4751,a),flip(a)]. 4753 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(4592,a,4752,a)]. 4755 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4753(a,1),3556(a,2,2))]. 4756 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(285,a,4747,a(flip),b,4755,a),flip(a)]. 4758 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(66,a,3884,a(flip),b,4756,a)]. 4759 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(209(a,1),4756(a,1,1,2,2))]. 4760 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4759(a,2),46(a,1))]. 4762 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,4758,a),flip(a)]. 4764 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4762(a,1),2988(a,1,2))]. 4765 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4764(a,1),3907(a,1,2)),flip(a)]. 4767 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(285,a,2841,a(flip),b,4765,a),flip(a)]. 4771 R(x,K(y \ 1,y),z) = x. [para(15(a,1),4767(a,1,3))]. 4775 R(x,y,K(z \ 1,z)) = x. [hyper(66,a,3878,a(flip),b,4771,a)]. 4776 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4771(a,1),112(a,1,1)),flip(a)]. 4782 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(66,a,3706,a(flip),b,4775,a)]. 4783 R(x,y,K(z \ 1,z)) != u | u = x. [para(4775(a,1),54(a,1)),flip(a)]. 4784 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4775(a,1),112(a,1,1)),flip(a)]. 4785 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4775(a,1),462(a,1,1))]. 4787 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4775(a,1),474(a,1,1)),flip(a),flip(b)]. 4788 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4775(a,1),498(a,1,1))]. 4789 R(x,y,K(z,z \ 1)) = x. [para(1904(a,1),4775(a,1,3))]. 4790 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4775(a,1),2428(a,1,1))]. 4791 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3531,a,4789,a)]. 4795 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(66,a,3696,a(flip),b,4789,a),flip(a)]. 4796 R(x,y,K(z,z \ 1)) != u | x = u. [para(4789(a,1),54(a,2))]. 4797 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4789(a,1),112(a,1,1)),flip(a)]. 4799 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4789(a,1),2421(a,1,1))]. 4802 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(87(a,1),4791(a,1,3)),flip(a)]. 4803 R(x,y,1 / (1 / z)) = R(x,y,z). [para(90(a,1),4791(a,2,3))]. 4806 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2255(a,1),4795(a,1,2))]. 4807 T(x,K(y,y \ 1) * z) = T(x,z). [para(2398(a,2),4795(a,1,2))]. 4808 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2617(a,1),4795(a,1,2))]. 4809 T(x,K(y \ 1,y) * z) = T(x,z). [para(2839(a,1),4795(a,1,2)),flip(a)]. 4810 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2849(a,1),4795(a,1,2)),flip(a)]. 4811 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2887(a,1),4795(a,1,2))]. 4813 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2950(a,1),4795(a,1,2))]. 4814 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2977(a,1),4795(a,1,2)),flip(a)]. 4815 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3312(a,1),4795(a,1,2))]. 4816 T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). [para(3704(a,1),4795(a,1,2))]. 4818 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4802(a,1),112(a,1,1))]. 4820 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2909(a,1),4807(a,1,2)),flip(a)]. 4821 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2974(a,1),4807(a,1,2)),flip(a)]. 4822 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4807(a,1),4105(a,1,2))]. 4825 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4808(a,1),4584(a,1,2))]. 4826 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4810(a,1),4504(a,1,2,1))]. 4827 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(285,a,4317,a(flip),b,4813,a),flip(a)]. 4828 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(66,a,4320,a(flip),b,4813,a),flip(a)]. 4829 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3224(a,1),4813(a,2,2))]. 4830 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(66,a,640,a(flip),b,4820,a),flip(a)]. 4831 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2933(a,2),4820(a,1,2,1))]. 4832 x / T(1 / y,y * x) = (1 / y) \ x. [para(4821(a,1),4219(a,1,2))]. 4833 K((x \ 1) * y,x \ y) = 1. [hyper(58,a,4830,a)]. 4834 T(1 / x,x * y) = ((1 / x) \ y) \ y. [hyper(180,a,4832,a),flip(a)]. 4835 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4834(a,1),686(a,1,1))]. 4836 R(((1 / x) \ y) \ y,x,y) != z \ y | x * y = z. [para(4835(a,2),51(a,1))]. 4837 R((x * ((1 / y) * (y / x))) \ x,(1 / y) * (y / x),x) = (((1 / y) * (y / x)) * x) \ x. [para(2782(a,1),4835(a,1,1,1))]. 4839 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(66,a,3657,a(flip),b,4776,a)]. 4840 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3737,a,4782,a),flip(a)]. 4842 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2409(a,2),4782(a,1,2))]. 4843 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2863,a,4784,a)]. 4844 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2416,a,4784,a)]. 4846 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(4784(a,1),2411(a,2)),flip(b)]. 4847 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4784(a,1),3657(a,1,1))]. 4848 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4784(a,1),3699(a,1,1))]. 4849 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4784(a,1),4782(a,1,2))]. 4850 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1103(a,1),4785(a,1,2)),flip(a)]. 4851 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2863,a,4850,a)]. 4852 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2416,a,4850,a)]. 4853 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3729(a,1),4850(a,1,2))]. 4854 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4851(a,1),4807(a,1,2))]. 4855 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [hyper(124,a,4854,a(flip),b,27,a(flip))]. 4856 T(x,x \ (y \ 1)) * (x \ (1 / y)) = x * ((1 / y) / x). [para(4854(a,1),3968(a,1,1))]. 4858 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(285,a,2409,a,b,4790,a),flip(a)]. 4859 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(66,a,3698,a,b,4790,a)]. 4861 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(445,a,4797,a)]. 4864 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,3127,a,b,4861,a)]. 4867 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(285,a,2398,a,b,4799,a),flip(a)]. 4869 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2862,a,4839,a)]. 4870 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(380,a,4839,a),flip(a)]. 4874 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4839(a,1),4790(a,1,2))]. 4875 K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z. [para(4870(a,1),3646(a,1,1)),flip(a)]. 4876 L(x,y,z \ K(u \ 1,u)) = L(x,y,z \ 1). [para(4870(a,1),3911(a,1,3))]. 4877 K(x \ 1,x) * (y * (z \ 1)) = y * (z \ K(x \ 1,x)). [para(4870(a,1),4839(a,2,2))]. 4878 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2646(a,1),4843(a,1,2,2))]. 4879 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2685(a,1),4843(a,1,2,2))]. 4880 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2854(a,1),4843(a,1,2,2))]. 4881 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2941(a,1),4843(a,1,2,2))]. 4882 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4844(a,1),456(a,1,1))]. 4883 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(66,a,3698,a,b,4858,a)]. 4884 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(66,a,3716,a(flip),b,4858,a),flip(a)]. 4885 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4858(a,2),2412(a,1))]. 4886 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2654(a,1),4858(a,1,2)),flip(a)]. 4887 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(2861(a,1),4859(a,1,1)),flip(a)]. 4888 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2975(a,1),4859(a,1,1)),flip(a)]. 4889 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3639(a,1),4859(a,1,1)),flip(a)]. 4890 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2398(a,1),4867(a,1,2))]. 4891 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(66,a,3634,a,b,4880,a)]. 4893 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2830(a,1),4883(a,1,1)),flip(a)]. 4894 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2888(a,1),4883(a,1,1)),flip(a)]. 4895 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3754(a,1),4883(a,1,1)),flip(a)]. 4896 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(23(a,2),4890(a,2,2))]. 4897 L(x,K(y,y \ 1),z) = x. [hyper(445,a,4891,a)]. 4899 a(x,K(y,y \ 1),z) = 1. [hyper(56,a,4897,a)]. 4900 L(x,y * (1 / y),z) = x. [para(1903(a,1),4897(a,1,2))]. 4902 L(x,y * (1 / y),z) != u | u = x. [para(4900(a,1),53(a,1)),flip(a)]. 4903 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(66,a,3739,a,b,4822,a)]. 4904 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(66,a,4517,a,b,4826,a)]. 4905 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(124,a,4826,a(flip),b,4517,a),flip(a)]. 4906 (x \ T(x * (y / x),z)) * x = T(y,z). [hyper(136,a,4904,a(flip))]. 4907 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4904(a,1,2,1,2)),flip(a)]. 4908 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(87(a,1),4904(a,1,2,1,2))]. 4911 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4338(a,1),4904(a,1,2,1))]. 4912 x * (T(y * x,z) / x) = T(x * y,z). [para(16(a,1),4905(a,1,1,2)),flip(a)]. 4913 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(87(a,1),4905(a,1,1,2)),flip(a)]. 4914 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(118(a,1),4905(a,2,2,1))]. 4918 T(x * (y / x),K(z,y)) = x * (y / x). [para(3185(a,1),4905(a,2,2,1))]. 4919 T(x * (y / x),K(y,z)) = x * (y / x). [para(3348(a,1),4905(a,2,2,1))]. 4920 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4123(a,1),4905(a,2,2,1))]. 4921 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4905(a,2),4021(a,1,1,2))]. 4922 (x \ T(x * y,z)) * x = T(y * x,z). [para(16(a,1),4906(a,1,1,2,1,2))]. 4923 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(900,a,4907,a)]. 4926 T((x \ y) * x,z) / x = x \ T(y,z). [para(15(a,1),4907(a,2,2,1))]. 4927 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4907(a,1),118(a,1,1))]. 4929 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(4599(a,1),4918(a,1,2))]. 4930 T(K(x,y),z * (x / z)) = K(x,y). [hyper(57,a,4919,a)]. 4932 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(15(a,1),4922(a,1,1,2,1)),flip(a)]. 4935 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4926(a,1),236(a,1,1)),flip(b)]. 4938 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(285,a,3898,a,b,4932,a)]. 4940 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [hyper(124,a,4932,a(flip),b,27,a(flip))]. 4941 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4932(a,2),47(a,1))]. 4942 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(118(a,1),4932(a,2,1,2))]. 4943 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4932(a,2),98(a,1,1))]. 4946 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [hyper(124,a,4914,a(flip),b,27,a(flip)),flip(a)]. 4947 x * (y * ((x \ z) / y)) != u | (y * ((z / x) / y)) * x = u. [para(4914(a,1),263(a,1,2))]. 4949 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(66,a,3902,a(flip),b,4940,a),flip(a)]. 4950 T(1 / x,(y \ x) * y) = x \ 1. [hyper(224,a,3902,a(flip),b,4940,a(flip))]. 4952 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(118(a,1),4940(a,1,2,1,2)),flip(a)]. 4953 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(117(a,1),4940(a,1,2,1,2))]. 4954 T(1 / (x * y),y * x) = (x * y) \ 1. [para(14(a,1),4950(a,1,2,1))]. 4955 (1 / (x * y)) * (y * x) = (y * x) * ((x * y) \ 1). [hyper(124,a,4954,a(flip),b,27,a(flip)),flip(a)]. 4957 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(254,a,4942,a)]. 4958 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (1 / x),y)) * x. [para(4942(a,1),921(a,1,2))]. 4959 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3213(a,1),4935(a,1,1,2))]. 4961 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [hyper(124,a,1034,a(flip),b,4908,a),flip(a)]. 4962 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4566(a,1),4911(a,1,1))]. 4963 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4913(a,1),304(a,1,2)),flip(b)]. 4964 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(285,a,4905,a,b,4920,a),flip(a)]. 4965 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(124,a,414,a(flip),b,4923,a(flip)),flip(a)]. 4966 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(123,a,4923,a(flip),b,1351,a),flip(a)]. 4967 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(14(a,1),4946(a,2,2,2,1))]. 4968 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(203(a,2),4946(a,2,2,2,1))]. 4969 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(66,a,4700,a(flip),b,4949,a),flip(a)]. 4970 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(285,a,4581,a(flip),b,4969,a),flip(a)]. 4971 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4970(a,1),3904(a,2,2))]. 4972 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1693,a,4952,a),flip(a)]. 4973 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(66,a,464,a,b,4952,a)]. 4974 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(116(a,2),4952(a,2,2)),flip(a)]. 4975 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(205(a,2),4952(a,1,1,1,2))]. 4976 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(14(a,1),4957(a,1,1,2,1,2))]. 4977 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(66,a,4304,a,b,4964,a)]. 4978 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4965(a,2,2,2))]. 4980 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(66,a,4194,a(flip),b,4976,a),flip(a)]. 4981 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3022(a,1),4829(a,1,2))]. 4983 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) = K(y \ 1,y). [hyper(195,a,4875,a)]. 4984 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) != z | K(y \ 1,y) = z. [para(4875(a,1),195(a,1)),flip(b)]. 4985 ((K(x \ 1,x) / y) \ 1) \ 1 = y \ K(x \ 1,x). [hyper(318,a,4983,a),flip(a)]. 4986 (K(x \ 1,x) / y) \ 1 = K(x,x \ 1) * y. [hyper(42,a,3733,a,b,4985,a),flip(a)]. 4987 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ K(z \ 1,z)). [para(4985(a,1),3668(a,1,3)),flip(a)]. 4988 (K(x \ 1,x) / (y * x)) * (y * ((x \ 1) \ 1)) = 1. [hyper(124,a,2830,a(flip),b,4986,a)]. 4989 L(x,(y * ((z \ 1) \ 1)) / x,K(z \ 1,z) / (y * z)) = ((K(z \ 1,z) / (y * z)) * ((y * ((z \ 1) \ 1)) / x)) \ 1. [para(4988(a,1),107(a,2,2))]. 4990 (K(x \ 1,x) / y) * (z \ 1) = (1 / y) * (z \ K(x \ 1,x)). [hyper(66,a,3713,a(flip),b,4877,a)]. 4991 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4881(a,1),4807(a,1,2)),flip(a)]. 4992 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(87(a,1),4991(a,1,2,2,1)),flip(a)]. 4993 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3646(a,1),4991(a,1,2)),flip(a)]. 4994 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4887(a,1),3933(a,1,1)),flip(a)]. 4995 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2863,a,4888,a)]. 4996 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4889(a,1),4844(a,2,2))]. 4997 T(x,y * (((((1 / z) \ 1) * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(4889(a,2),4992(a,1,2,2,1,1))]. 4998 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(4893(a,1),4809(a,1,2))]. 4999 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(90(a,1),4998(a,1,2,1,2,1)),flip(a)]. 5000 T(x,((y \ 1) * y) \ z) = T(x,z). [para(161(a,1),4998(a,1,2)),flip(a)]. 5001 T((x \ y) * x,y \ 1) != z * ((x \ y) * x) | K(y,y \ 1) = z. [para(4938(a,1),47(a,1))]. 5002 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(66,a,830,a,b,4974,a)]. 5003 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ 1). [hyper(285,a,4876,a(flip),b,4987,a),flip(a)]. 5005 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4818(a,1),47(a,1))]. 5008 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4827(a,1),4615(a,1,2)),flip(a)]. 5009 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(123,a,4847,a(flip),b,112,a)]. 5010 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(66,a,3726,a(flip),b,4848,a),flip(a)]. 5011 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(124,a,4849,a,b,2857,a)]. 5012 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(66,a,2941,a(flip),b,4853,a)]. 5013 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(285,a,3139,a(flip),b,5012,a),flip(a)]. 5015 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4874(a,1),2450(a,1))]. 5016 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(66,a,4799,a(flip),b,4903,a)]. 5017 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4978(a,1,1,2,2))]. 5019 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(5017(a,2),46(a,1))]. 5020 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2850(a,1),5011(a,1,2,2)),flip(a)]. 5021 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2398(a,1),5020(a,1,2))]. 5022 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4113(a,1),5016(a,1,1)),flip(a)]. 5023 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(285,a,2398,a,b,5022,a),flip(a)]. 5026 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5023(a,2),46(a,1))]. 5028 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,4617,a(flip),b,4921,a),flip(a)]. 5029 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),4788(a,1,2))]. 5030 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),4896(a,1,2))]. 5031 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3759(a,1),4973(a,1,1))]. 5032 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),5029(a,1,2,2))]. 5033 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),5030(a,1,2,2))]. 5034 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(447,a,5032,a)]. 5035 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(285,a,2409,a,b,5034,a),flip(a)]. 5036 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2409(a,2),5035(a,1,1))]. 5037 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(447,a,5033,a)]. 5038 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(285,a,2398,a(flip),b,5037,a),flip(a)]. 5039 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1963(a,1),5037(a,1,1)),flip(a)]. 5040 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5037(a,2),2982(a,1,2))]. 5041 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(66,a,2101,a(flip),b,5039,a)]. 5042 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(117(a,1),5041(a,2,1))]. 5043 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(128,a,5042,a)]. 5044 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(66,a,1978,a,b,5043,a)]. 5045 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2167,a,5044,a)]. 5046 L(x,y,z) / x = x \ L(x,y,z). [hyper(135,a,5045,a)]. 5047 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(128,a,5045,a)]. 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5047(a,1),419(a,1,2,1)),flip(a)]. 5053 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1889(a,1),5038(a,1,1)),flip(a)]. 5054 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5038(a,2,2))]. 5055 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5053(a,1),3681(a,1,1))]. 5056 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(122,a,5052,a(flip),b,996,a)]. 5057 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(243(a,2),4966(a,2,1,2,1,2))]. 5058 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2977(a,1),5040(a,1,2,1))]. 5059 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(66,a,947,a(flip),b,5058,a),flip(a)]. 5060 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(136,a,5059,a)]. 5061 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(17(a,1),5059(a,1,1,1)),flip(a)]. 5062 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(15(a,1),5060(a,1,1,2,1)),flip(a)]. 5063 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(138,a,5061,a),flip(a)]. 5064 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5062(a,1),30(a,2,1))]. 5065 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(452(a,1),5062(a,2,1,2))]. 5066 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(453(a,1),5062(a,2,1,2))]. 5067 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1880(a,1),5063(a,2,2,1))]. 5068 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(285,a,4929,a,b,5067,a)]. 5069 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(15(a,1),5065(a,2,1,2))]. 5070 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(66,a,4971,a(flip),b,5066,a),flip(a)]. 5071 x * (y \ (x / (x / y))) = (y \ x) * y. [para(160(a,1),5070(a,1,1,2)),flip(a)]. 5072 x \ (y / (y / x)) = K(x \ y,x). [hyper(37,a,271,a,b,5071,a),flip(a)]. 5073 x / (x / y) = y * K(y \ x,y). [hyper(138,a,5072,a),flip(a)]. 5074 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [hyper(124,a,4558,a(flip),b,5072,a),flip(a)]. 5075 (x * y) / ((x * y) / x) = x * K(y,x). [hyper(124,a,625,a(flip),b,5072,a),flip(a)]. 5076 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(66,a,4970,a,b,5072,a)]. 5077 ((x \ y) * x) / y = K(x \ y,x). [hyper(66,a,4581,a,b,5072,a)]. 5078 x / (y * (x / y)) = K(y \ x,y). [hyper(66,a,4261,a,b,5072,a)]. 5082 (x / y) * K(y \ x,y) = y \ x. [hyper(124,a,5072,a(flip),b,3800,a)]. 5083 (1 / x) \ K(y \ x,y) = (y \ x) * y. [hyper(122,a,5072,a(flip),b,4970,a)]. 5085 T(K(x \ y,x),y) = K(x \ y,x). [para(5072(a,1),4043(a,1,1))]. 5087 (x * K(x \ y,x)) \ y = y / x. [hyper(180,a,5073,a)]. 5091 (x * y) * K((x * y) \ y,x * y) = y / R(1 / x,x,y). [para(205(a,2),5073(a,1,2)),flip(a)]. 5093 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(404(a,1),5073(a,2,2,1))]. 5096 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5073(a,1),596(a,1,1,1))]. 5097 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5073(a,1),4273(a,1,1))]. 5098 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5073(a,2),4409(a,1,1))]. 5101 K(x \ y,x) * y = (x \ y) * x. [hyper(136,a,5077,a)]. 5102 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(66,a,4700,a,b,5077,a)]. 5104 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(5077(a,1),2836(a,1,1))]. 5106 K(x \ y,x) * (x * (y / x)) = y. [hyper(136,a,5078,a)]. 5107 K(x \ 1,x) * K(y \ (1 / x),y) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),3676(a,1,2))]. 5108 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5078(a,1),4906(a,1,1,2,1,2))]. 5110 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4658(a,1),5082(a,1,2))]. 5111 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(285,a,5077,a,b,5085,a)]. 5113 (x * ((y \ z) * y)) * a(x,K(y \ z,y),z) = (x * K(y \ z,y)) * z. [para(5101(a,1),93(a,1,1,2))]. 5114 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5101(a,1),2182(a,2,2))]. 5115 K(x \ y,x) * (y / x) = x \ y. [hyper(122,a,5106,a(flip),b,4427,a(flip)),flip(a)]. 5119 K(x,y) = T(y,x) \ y. [hyper(3836,a,5075,a),flip(a)]. 5120 K(x,y) = (x * y) / (y * x). [hyper(285,a,4034,a,b,5119,a),flip(a)]. 5121 K(x,y) = ((y * x) / y) \ x. [hyper(285,a,3779,a,b,5119,a),flip(a)]. 5122 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(285,a,3252,a,b,5119,a),flip(a)]. 5123 K(x,y) = y / T(y,x). [hyper(285,a,3170,a,b,5119,a),flip(a)]. 5124 K(x,y) = y * (T(y,x) \ 1). [hyper(285,a,1000,a,b,5119,a),flip(a)]. 5125 K(x,y) = x \ T(x,y). [hyper(285,a,4101,a(flip),b,5119,a),flip(a)]. 5126 x * T(x \ 1,y) = K(x \ 1,y). [hyper(285,a,4092,a(flip),b,5119,a)]. 5128 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(124,a,5119,a,b,3252,a)]. 5129 x / (x / y) = y * K(x / y,y). [hyper(124,a,5119,a,b,4102,a(flip)),flip(a)]. 5130 T(x,y) = x * K(x,y). [hyper(124,a,5119,a,b,4101,a(flip)),flip(a)]. 5131 T(x,y) * K(y,x) = x. [hyper(124,a,5119,a,b,xx)]. 5132 K(x,y) / y = 1 / T(y,x). [hyper(123,a,5119,a,b,3169,a)]. 5133 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(122,a,5119,a,b,2437,a)]. 5134 T(x,y) \ 1 = x \ K(y,x). [hyper(122,a,5119,a,b,1000,a),flip(a)]. 5135 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(122,a,5119,a,b,4092,a(flip))]. 5136 T(x,y) = x / K(y,x). [hyper(185,a,5119,a(flip)),flip(a)]. 5137 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(32(a,2),5119(a,2,1)),flip(a)]. 5138 K(x,y) != z \ y | T(y,x) = z. [para(5119(a,2),51(a,1))]. 5142 T(x,y) = K(y,x) \ x. [para(5119(a,2),3168(a,1,1)),flip(a)]. 5143 K(x,y) * T(y,x) = y. [para(5119(a,2),3171(a,1,1))]. 5144 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5119(a,2),3393(a,1,1))]. 5145 K(x,y) * ((y * x) / y) = x. [para(5119(a,2),3775(a,1,1))]. 5146 K(x,y) * (y * x) = x * y. [para(5119(a,2),4032(a,1,1))]. 5148 K(x,y) = T(y,T(x,y)) \ y. [para(4105(a,2),5119(a,2,1))]. 5149 (x * y) / x = y * K(x,y). [para(5119(a,2),4104(a,2,2))]. 5150 T(x * K(y,x),y) = x. [para(5119(a,2),4198(a,1,1,2))]. 5152 x * (K(x,y) * z) = T(x,y) * z. [para(5119(a,2),4107(a,1,2,1))]. 5153 T(x,y) * (x \ z) = K(x,y) * z. [para(5119(a,2),4108(a,2,1))]. 5154 K(x / y,z) * x = y * T(y \ x,z). [para(5119(a,2),4262(a,1,1))]. 5156 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5119(a,2),4099(a,1,2)),flip(a)]. 5157 x * (T(x,y) \ z) = K(y,x) * z. [para(5119(a,2),4498(a,1,1)),flip(a)]. 5158 K(x,y) * (T(y,x) * z) = y * z. [para(5119(a,2),4499(a,1,1))]. 5159 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(28(a,1),5123(a,2,2)),flip(a)]. 5160 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(30(a,2),5123(a,2,2)),flip(a)]. 5161 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(32(a,2),5123(a,2,2)),flip(a)]. 5162 K(x,y) \ y != z | T(y,x) = z. [para(5123(a,2),307(a,1,1)),flip(b)]. 5164 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(285,a,3854,a,b,5125,a)]. 5166 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(285,a,3773,a,b,5125,a)]. 5167 K(x,y) = y \ ((x * y) / x). [hyper(285,a,3768,a,b,5125,a),flip(a)]. 5168 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(285,a,3269,a,b,5125,a),flip(a)]. 5169 K(x,y) = T(x,y) / x. [hyper(285,a,3266,a,b,5125,a),flip(a)]. 5170 K(x,y) = T(x,y) * (x \ 1). [hyper(285,a,886,a,b,5125,a),flip(a)]. 5171 x * T(x \ 1,y) = K(1 / x,y). [hyper(285,a,891,a(flip),b,5125,a)]. 5174 T(x,y) \ K(x,y) = x \ 1. [hyper(122,a,5125,a,b,886,a)]. 5177 (1 / x) * K(x \ 1,y) = T(1 / x,y). [hyper(124,a,3339,a(flip),b,5125,a(flip))]. 5178 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(30(a,2),5125(a,2,2)),flip(a)]. 5179 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(32(a,2),5125(a,2,2)),flip(a)]. 5180 x * K(x,y) != z | T(x,y) = z. [para(5125(a,2),240(a,1,2)),flip(b)]. 5185 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5125(a,2),1141(a,1,1))]. 5186 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1. [para(5125(a,2),1422(a,1,2))]. 5187 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5125(a,2),1804(a,1,2))]. 5188 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(2771(a,1),5125(a,2,2)),flip(a)]. 5189 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2788(a,1),5125(a,2,2))]. 5190 T(x,y) = K(x,y) * x. [para(5125(a,2),3267(a,1,1)),flip(a)]. 5191 (x * K(y,x)) * y = y * x. [para(5125(a,2),3765(a,1,1,2))]. 5192 (x * y) / x = K(x,y) * y. [para(5125(a,2),3772(a,1,1)),flip(a)]. 5193 (x \ y) * K(x,x \ y) = y / x. [para(5125(a,2),3767(a,1,2))]. 5196 x * (T(x,y) \ z) = K(x,y) \ z. [para(5125(a,2),3958(a,1,1)),flip(a)]. 5197 K(x,x \ y) * y = x * (y / x). [para(5125(a,2),4013(a,1,1))]. 5200 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4273(a,1),5125(a,2,2)),flip(a)]. 5201 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4303(a,2),5125(a,2,2)),flip(a)]. 5202 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(123,a,5130,a,b,93,a)]. 5203 (x * y) * K(x * y,T(y,x)) = T(x * y,y). [hyper(66,a,4180,a(flip),b,5130,a),flip(a)]. 5204 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,2773,a(flip),b,5130,a),flip(a)]. 5207 T(x,y) != x * z | K(x,y) = z. [para(5130(a,2),46(a,1))]. 5208 x \ T(x,y) != z | K(x,y) = z. [para(5130(a,2),304(a,1,2)),flip(b)]. 5209 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5130(a,2),113(a,2,1))]. 5212 (x * y) \ (x * T(y,z)) != u | L(K(y,z),y,x) = u. [para(5130(a,2),447(a,1,2,2))]. 5213 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5130(a,2),475(a,2,2))]. 5215 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5130(a,2),947(a,2,2,1))]. 5216 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5130(a,2),1152(a,1,2)),flip(a)]. 5217 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(5130(a,2),1245(a,1,2)),flip(a)]. 5218 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5130(a,1),3036(a,2,2))]. 5219 K(x,y) * (x * z) = T(x,y) * z. [para(5130(a,2),4071(a,1,1)),flip(a)]. 5220 x * (y * K(x,y)) = T(x,y) * y. [para(5130(a,2),4454(a,1,1)),flip(a)]. 5221 x * K(R(x,y,z),x) = x. [para(168(a,1),5131(a,1,1))]. 5223 T(x,y) \ x != z | K(y,x) = z. [para(5131(a,1),304(a,1,2)),flip(b)]. 5226 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(598(a,1),5131(a,1,1))]. 5227 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5131(a,1),2323(a,1,1,1)),flip(a)]. 5228 T(x,y) * (K(y,x) * z) = x * z. [para(5131(a,1),4419(a,1,1)),flip(a)]. 5230 T(x,y) != x / z | K(y,x) = z. [para(5136(a,2),48(a,1))]. 5231 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5136(a,2),1414(a,1,1)),flip(a)]. 5232 T(x,y) = (K(y,x) / x) \ 1. [hyper(285,a,4672,a,b,5142,a),flip(a)]. 5233 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(285,a,4260,a,b,5142,a)]. 5234 K(x,y / x) * (x \ y) = y / x. [hyper(124,a,118,a(flip),b,5142,a(flip))]. 5235 x / T(x,y) != z | K(y,x) = z. [para(5142(a,2),297(a,1,2)),flip(b)]. 5236 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5142(a,2),2315(a,1,2,1))]. 5237 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(728,a,5150,a),flip(a)]. 5238 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(426,a,5150,a)]. 5239 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(43,a,4114,a,b,5150,a)]. 5240 T(T(x * K(y,x),z),y) = T(x,z). [para(5150(a,1),28(a,1,1)),flip(a)]. 5241 (x * y) / x != z | y * K(x,y) = z. [para(5150(a,1),298(a,1,1,2)),flip(b)]. 5242 T(x * K(y,x),z) * y = y * T(x,z). [para(5150(a,1),221(a,1,2,1)),flip(a)]. 5243 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5150(a,1),252(a,1,1,2,1)),flip(a)]. 5244 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5150(a,1),222(a,1,2,1)),flip(a)]. 5245 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5150(a,1),223(a,1,2,1)),flip(a)]. 5246 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5150(a,1),662(a,1,1)),flip(a)]. 5248 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5150(a,1),415(a,1,2,1,1)),flip(a)]. 5249 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(5150(a,1),591(a,1,2,1,1)),flip(a)]. 5250 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5150(a,1),1509(a,1,1)),flip(a)]. 5251 T(K(x,y) * y,x) = y. [para(3186(a,2),5150(a,1,1))]. 5252 T(x \ K(y,x \ 1),y) = x \ 1. [para(3224(a,1),5150(a,1,1))]. 5253 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5150(a,1),4547(a,1,3)),flip(a)]. 5254 K(x,y) = (1 / x) * T(x,y). [hyper(285,a,903,a,b,5169,a),flip(a)]. 5255 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(123,a,5169,a,b,898,a),flip(a)]. 5256 T(x,y) = (1 / x) \ K(x,y). [hyper(122,a,5169,a,b,903,a),flip(a)]. 5258 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(32(a,2),5169(a,2,1)),flip(a)]. 5259 K(x,y) * x != z | T(x,y) = z. [para(5169(a,2),236(a,1,1)),flip(b)]. 5265 K((x \ y) * x,y \ 1) = K(y,y \ 1). [hyper(5001,a,5190,a),flip(a)]. 5266 K(x,x \ y) * x = T(x,y / x). [hyper(4223,a,5190,a),flip(a)]. 5268 K(x / y,y) * (x / y) = y \ x. [hyper(630,a,5190,a),flip(a)]. 5269 T(x,y) / (y \ x) = y * K(x,y). [hyper(123,a,5190,a,b,4425,a)]. 5271 K(x,y) * (y \ x) = y \ T(x,y). [hyper(122,a,5190,a,b,4428,a),flip(a)]. 5272 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(66,a,30,a,b,5190,a),flip(a)]. 5273 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(66,a,28,a,b,5190,a),flip(a)]. 5274 x * (K(y,x) * y) = y * x. [hyper(124,a,5190,a(flip),b,27,a(flip))]. 5279 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5190(a,2),216(a,1,1))]. 5280 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5190(a,2),499(a,1,1))]. 5281 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5190(a,2),447(a,1,2,2))]. 5282 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5190(a,2),475(a,2,2))]. 5283 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5190(a,2),563(a,1,2))]. 5284 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5190(a,2),644(a,1,1))]. 5285 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5190(a,2),646(a,1,1))]. 5286 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5190(a,2),1505(a,2,1,1))]. 5287 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5190(a,2),1628(a,1,1))]. 5289 K(R(x,y,z),x) = 1. [hyper(126,a,5221,a),flip(a)]. 5291 T(x * y,K(y,x)) = x * y. [hyper(382,a,5120,a(flip))]. 5292 x / ((y \ x) * y) = K(y,y \ x). [para(15(a,1),5120(a,2,1)),flip(a)]. 5293 K(x,y) * (y * x) = (x * y) * 1. [para(5120(a,2),157(a,1,1))]. 5294 K(x,x \ y) * ((x \ y) * x) = y. [para(5120(a,2),92(a,1,1))]. 5296 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5120(a,2),837(a,1,1,1))]. 5297 K(x,y) != z | T(y,x) \ y = z. [para(5120(a,2),4036(a,1))]. 5298 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5124(a,2),104(a,1,2,2)),flip(a)]. 5300 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5132(a,2),2381(a,1,2)),flip(a)]. 5301 K(x,y) \ (1 / T(y,x)) = 1 / y. [para(5132(a,1),4693(a,1,2))]. 5302 T(x,y) = 1 / (x \ K(y,x)). [hyper(185,a,5134,a),flip(a)]. 5303 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(117(a,1),5134(a,1,1))]. 5304 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5134(a,1),297(a,1,2)),flip(b)]. 5306 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5134(a,1),1830(a,1,2,1))]. 5307 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5134(a,2),3495(a,2,1))]. 5309 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(103(a,1),5145(a,1,2,1))]. 5310 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(93(a,1),5145(a,1,2,1))]. 5312 K(x,y / x) * y = x * (y / x). [para(17(a,1),5146(a,1,2))]. 5313 x * (y * z) != z * y | K(z,y) = x. [para(5146(a,1),47(a,1)),flip(a)]. 5314 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),5146(a,1,2))]. 5315 (x * (y * x)) / (x * y) = x * K(y,x). [para(5146(a,1),4411(a,1,1,2))]. 5316 K(T(x,y),y) = K(x,y). [hyper(285,a,5119,a,b,5148,a)]. 5317 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5148(a,2),4728(a,1,1))]. 5318 K(x,y / x) = K(x,x \ y). [hyper(4471,a,5316,a)]. 5319 K(x,T(y,x)) = K(x,y). [hyper(4460,a,5316,a),flip(a)]. 5320 K(x,y) \ 1 = K(y,x). [hyper(66,a,4447,a(flip),b,5316,a)]. 5321 K(x,y) * K(y,x) = 1. [hyper(124,a,5316,a(flip),b,4447,a(flip))]. 5322 K(x \ (y * x),x) = K(y,x). [para(27(a,1),5316(a,1,1))]. 5323 K(x / y,y) = K(y \ x,y). [para(118(a,1),5316(a,1,1)),flip(a)]. 5325 K(T(x,x * y),y) = K(L(x,y,x),y). [para(664(a,1),5316(a,1,1))]. 5326 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(603(a,1),5316(a,1,1))]. 5327 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(726(a,1),5316(a,1,1)),flip(a)]. 5328 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(718(a,1),5316(a,1,1)),flip(a)]. 5329 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(981(a,1),5316(a,1,1)),flip(a)]. 5330 K(x \ (y * L(x,z,u)),x) = K((y / x) * L(x,z,u),x). [para(1568(a,1),5316(a,1,1))]. 5331 K(x,y) \ x = x * K(y,x). [para(5316(a,1),4457(a,1,2)),flip(a)]. 5332 K(x,y) \ 1 != z | K(y,x) = z. [para(5316(a,1),4455(a,1,1))]. 5333 L(x,K(y,z),K(z,y)) = x. [para(5316(a,1),4543(a,1,3))]. 5334 K(x,y) \ z = K(y,x) * z. [para(5316(a,1),4544(a,1,1)),flip(a)]. 5335 K(x * K(y,x),y) = K(x,y). [para(5150(a,1),5316(a,1,1)),flip(a)]. 5336 K(x,x \ (y * x)) = K(x,y). [para(27(a,1),5319(a,1,2))]. 5337 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(28(a,1),5319(a,1,2))]. 5338 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(30(a,2),5319(a,1,2))]. 5339 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(117(a,1),5319(a,1,2))]. 5340 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(231(a,1),5319(a,1,2)),flip(a)]. 5341 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(233(a,1),5319(a,1,2)),flip(a)]. 5342 K(x,y * K(x,y)) = K(x,y). [para(5150(a,1),5319(a,1,2)),flip(a)]. 5344 1 / K(x,y) = K(y,x). [hyper(185,a,5320,a)]. 5345 x / (x * K(y,x)) = K(x,y). [hyper(66,a,4545,a,b,5320,a)]. 5346 (x * K(y,x)) \ x = K(x,y). [hyper(66,a,3555,a,b,5320,a)]. 5347 K(x,y) != z \ 1 | K(y,x) = z. [para(5320(a,1),51(a,1))]. 5348 x * (K(y,z) * K(z,y)) = x. [para(5320(a,1),82(a,1,2,2))]. 5349 x * K(y,z) != 1 | K(z,y) = x. [para(5320(a,1),134(a,1,2)),flip(b)]. 5350 1 / K(x,y) != z | K(y,x) = z. [para(5320(a,1),297(a,1,2)),flip(b)]. 5355 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5320(a,1),1715(a,2,2,1))]. 5356 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5320(a,1),1744(a,1,1,2,2,1)),flip(a)]. 5357 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5320(a,1),1799(a,2,1,2,1))]. 5359 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5320(a,1),4426(a,2,2))]. 5360 K(x,y) * (K(y,x) * z) = z. [para(5320(a,1),4536(a,1,1))]. 5361 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(5320(a,1),4542(a,1,1))]. 5362 1 / (x \ K(x,y)) = x * K(y,x). [hyper(123,a,5321,a(flip),b,4425,a)]. 5364 K(x,y) * z != 1 | K(y,x) = z. [para(5321(a,1),46(a,1)),flip(a)]. 5365 x * (K(y,z) * K(z,y)) != u | x = u. [para(5321(a,2),133(a,1,2))]. 5366 L(x,K(y,z),K(z,y)) != u | x = u. [para(5333(a,1),53(a,2))]. 5367 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4281,a,5149,a),flip(a)]. 5368 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3863,a,5149,a)]. 5370 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(124,a,5149,a,b,14,a)]. 5371 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(66,a,1573,a,b,5149,a)]. 5372 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(66,a,4392,a(flip),b,5149,a),flip(a)]. 5373 x \ T(x * y,y) = y * K(x * y,y). [hyper(66,a,3994,a(flip),b,5149,a)]. 5374 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(124,a,5149,a(flip),b,90,a)]. 5375 T(x,y) \ (y * K(x,y)) = x \ y. [hyper(122,a,5149,a(flip),b,3964,a)]. 5376 (x * y) / x != y * z | K(x,y) = z. [para(5149(a,2),46(a,1))]. 5377 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5149(a,1),298(a,1))]. 5378 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(112(a,1),5149(a,1,1))]. 5379 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5149(a,1),113(a,1,1))]. 5381 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5149(a,2),463(a,1,2))]. 5382 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5149(a,1),488(a,1,1))]. 5383 T(x * K(y,x),x * y) = L(x,y,x). [para(5149(a,1),670(a,1,1))]. 5384 (x * (y * z)) / L(y,z * K(y,z),x) = x * ((y * z) / y). [para(5149(a,1),499(a,1,2,2))]. 5385 T(x * K(y * x,x),y) = R(x,y,x). [para(5149(a,1),713(a,2,1)),flip(a)]. 5386 T((x / y) * K(z,x / y),y) = (z * (y \ x)) / z. [para(5149(a,1),638(a,1,1))]. 5387 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5149(a,1),779(a,1,1))]. 5388 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5149(a,1),783(a,1,1))]. 5389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5149(a,2),95(a,1,2))]. 5390 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(931(a,1),5149(a,1,1))]. 5391 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(5149(a,1),1035(a,1,1))]. 5392 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5149(a,1),780(a,1,1))]. 5393 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5149(a,1),1331(a,2,1,2))]. 5394 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(5149(a,1),1523(a,1,1))]. 5395 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1551(a,1),5149(a,1,1))]. 5396 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5149(a,1),1574(a,2,1)),flip(a)]. 5397 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1614(a,1),5149(a,1,1))]. 5398 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1661(a,1),5149(a,1,1))]. 5399 L(x,y,x * K(y,x)) = L(x,y,x). [para(5149(a,1),4227(a,1,3))]. 5400 T(x * K(y,x),y * x) = L(x,y,x). [para(5149(a,1),4230(a,1,1))]. 5401 ((x \ 1) * y) * K(((x \ 1) * y) \ y,(x \ 1) * y) = (x * (y / x)) / (((x \ 1) * y) \ y). [para(4393(a,1),5149(a,1,1)),flip(a)]. 5402 ((x * y) / x) * z = y * (K(x,y) * z). [para(5149(a,2),4409(a,1,1))]. 5404 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5149(a,1),4527(a,1,1))]. 5405 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(5149(a,1),4961(a,2,2)),flip(a)]. 5406 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5149(a,1),4980(a,1,1,2))]. 5407 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(122,a,5167,a,b,1304,a)]. 5408 (x \ y) \ (y / x) = K(x,x \ y). [para(15(a,1),5167(a,2,2,1)),flip(a)]. 5409 x * K(y,x) != z | (y * x) / y = z. [para(5167(a,2),240(a,1,2)),flip(b)]. 5410 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5167(a,2),303(a,1,2,2))]. 5411 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),1490(a,1,2)),flip(a)]. 5412 K(x,y) = x * (((y * x) / y) \ 1). [hyper(285,a,4263,a,b,5170,a),flip(a)]. 5413 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(122,a,5170,a,b,4263,a),flip(a)]. 5414 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(122,a,5170,a,b,116,a),flip(a)]. 5415 K(x \ 1,y) * K(x \ 1,x) = T(x \ 1,y) * x. [para(5170(a,2),2691(a,1,1))]. 5416 K(x,x \ 1) * K(x,y) = T(x,y) * (1 / x). [para(5170(a,2),2860(a,1,2))]. 5417 K(x \ 1,x) * ((T(x,y) * (1 / x)) * z) = K(x,y) * z. [para(5170(a,2),3709(a,2,1))]. 5418 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5320(a,1),5170(a,2,2)),flip(a)]. 5420 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5191,a),flip(a)]. 5421 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [hyper(38,a,2905,a(flip),b,5191,a),flip(a)]. 5422 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(5191(a,1),19(a,2,1,2)),flip(a)]. 5423 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3224(a,1),5191(a,1,1))]. 5424 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(123,a,875,a,b,5192,a(flip))]. 5425 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(123,a,3994,a(flip),b,5192,a(flip))]. 5426 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(122,a,756,a(flip),b,5192,a(flip))]. 5427 (x * K(y,z)) \ (x * ((y * z) / y)) = L(z,K(y,z),x). [para(5192(a,2),23(a,2,2,2)),flip(a)]. 5431 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5274(a,1),4588(a,1,1))]. 5432 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(636,a,5291,a)]. 5434 x \ (y * (x / y)) = K(y,y \ x). [hyper(66,a,99,a,b,5318,a)]. 5435 x * K(y,y \ x) = y * (x / y). [hyper(124,a,5318,a(flip),b,99,a)]. 5438 (x * (y / x)) \ y = K(x \ y,x). [hyper(66,a,100,a,b,5323,a)]. 5439 (x * (y / x)) * K(x \ y,x) = y. [hyper(124,a,5323,a(flip),b,100,a)]. 5443 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5331(a,1),105(a,1,1))]. 5444 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5331(a,1),4426(a,2,2))]. 5445 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(2234,a,5334,a)]. 5446 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(659,a,5334,a)]. 5447 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(285,a,3199,a,b,5334,a),flip(a)]. 5448 x / (K(y,z) * x) = K(z,y). [hyper(185,a,5334,a)]. 5449 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(122,a,5334,a,b,116,a)]. 5450 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(66,a,3652,a(flip),b,5334,a),flip(a)]. 5452 K(x,y) * z != u | K(y,x) * u = z. [para(5334(a,1),138(a,1))]. 5453 K(x,y) * (K(y,x) * z) != u | u = z. [para(5334(a,1),240(a,1,2))]. 5454 x / (K(y,z) * x) != u | K(z,y) = u. [para(5334(a,1),297(a,1,2)),flip(b)]. 5455 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5334(a,1),129(a,1,2))]. 5458 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5334(a,1),546(a,1,2))]. 5459 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5334(a,1),335(a,1,1,3))]. 5460 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(123,a,5348,a(flip),b,112,a(flip))]. 5461 L(x,K(y,z),K(z,y)) = K(u,w) * (K(w,u) * x) # label(flip_matches_hint). [hyper(285,a,5333,a,b,5360,a)]. 5462 (K(x,y) / y) / (K(z,u) * (1 / T(y,x))) = K(u,z). [hyper(123,a,5132,a,b,5360,a)]. 5463 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [hyper(124,a,5360,a(flip),b,176,a)]. 5464 K(x,y) \ z != u | K(y,x) * z = u. [para(5360(a,1),304(a,1,2)),flip(b)]. 5465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5360(a,1),442(a,1,1)),flip(a)]. 5467 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3193(a,2),5448(a,1,2))]. 5468 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5448(a,1),3718(a,1,2)),flip(a)]. 5473 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(30(a,2),5208(a,1,2))]. 5474 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(32(a,2),5208(a,1,2))]. 5476 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(662(a,2),5208(a,1,2))]. 5477 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3268(a,1),5208(a,1))]. 5478 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5334(a,1),5208(a,1))]. 5479 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(28(a,1),5235(a,1,2))]. 5490 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5122(a,2),105(a,1,1)),flip(a)]. 5491 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(839,a,5126,a)]. 5492 T(1 / x,y) * x = K(x \ 1,y). [hyper(423,a,5126,a)]. 5493 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(66,a,2299,a(flip),b,5126,a)]. 5494 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(66,a,2290,a(flip),b,5126,a)]. 5495 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(66,a,1262,a(flip),b,5126,a)]. 5497 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(124,a,5126,a(flip),b,1262,a(flip)),flip(a)]. 5498 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(122,a,5126,a(flip),b,830,a(flip))]. 5500 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5126(a,1),850(a,2,2))]. 5501 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5126(a,1),1126(a,1,1))]. 5502 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5126(a,1),1289(a,1,1))]. 5503 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5126(a,1),1357(a,2,1))]. 5504 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5126(a,1),1364(a,2,1))]. 5505 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5126(a,1),1344(a,1,2)),flip(a)]. 5506 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),1355(a,2,2))]. 5507 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5126(a,1),2121(a,2,1,2))]. 5512 (x * T(x \ (K((x / y) \ 1,z) * y),u)) / y = (x / y) * T(T((x / y) \ 1,z),u). [para(5135(a,1),1352(a,2,2,1))]. 5514 x \ (T(x,y) * z) = K(x,y) * z. [hyper(128,a,5152,a)]. 5515 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(122,a,5170,a,b,5152,a),flip(a)]. 5516 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(122,a,15,a(flip),b,5152,a),flip(a)]. 5517 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(37,a,4263,a,b,5152,a)]. 5518 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(37,a,1004,a,b,5152,a),flip(a)]. 5519 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(37,a,4325,a(flip),b,5152,a),flip(a)]. 5520 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(37,a,4323,a(flip),b,5152,a),flip(a)]. 5521 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5152(a,1),19(a,2,2,1)),flip(a)]. 5522 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2229(a,1),5152(a,1,2))]. 5523 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(863,a,5153,a)]. 5524 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(285,a,3355,a,b,5153,a),flip(a)]. 5525 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(135,a,5153,a)]. 5526 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(128,a,5153,a)]. 5527 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(122,a,5360,a(flip),b,5153,a),flip(a)]. 5529 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(66,a,5152,a,b,5153,a)]. 5530 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(66,a,5052,a(flip),b,5153,a)]. 5532 (x * y) / (T(x,z) * y) = K(z,x). [hyper(123,a,4510,a(flip),b,5153,a(flip))]. 5533 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(123,a,994,a(flip),b,5153,a(flip))]. 5534 K(x,y) \ (y * z) = T(y,x) * z. [hyper(122,a,4510,a(flip),b,5153,a(flip))]. 5535 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(122,a,5153,a(flip),b,5152,a)]. 5536 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(23(a,2),5153(a,1,2)),flip(a)]. 5537 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(5153(a,1),294(a,1,1)),flip(b)]. 5540 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(5153(a,1),215(a,1,2,2))]. 5541 K(x \ y,z) * K(x \ y,y \ x) = T(x \ y,z) * (1 / (x \ y)). [para(2503(a,1),5153(a,1,2)),flip(a)]. 5542 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5125(a,2),5153(a,1,2)),flip(a)]. 5543 x * (T(x,y) \ K(x,z)) = K(x,z) * K(y,x). [hyper(285,a,2229,a,b,5157,a),flip(a)]. 5544 T(x,y) \ (x * z) = K(y,x) * z. [hyper(66,a,999,a,b,5157,a)]. 5545 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(37,a,4428,a,b,5157,a)]. 5546 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(123,a,4517,a,b,5157,a(flip))]. 5547 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(123,a,4826,a(flip),b,5157,a(flip)),flip(a)]. 5550 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4143(a,1),5157(a,1,2,1))]. 5551 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5157(a,1),4427(a,1,2)),flip(a)]. 5552 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5125(a,2),5157(a,1,2)),flip(a)]. 5557 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(180,a,5187,a),flip(a)]. 5558 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5187(a,1),307(a,1,1)),flip(b)]. 5559 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(37,a,3496,a,b,5193,a),flip(a)]. 5560 (1 / (x \ y)) * (y / x) = K(x,x \ y). [hyper(124,a,5193,a(flip),b,3222,a)]. 5561 R((x \ y) / z,z,K(x,x \ y)) = (y / x) / (z * K(x,x \ y)). [para(5193(a,1),113(a,2,1))]. 5562 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5193(a,1),3221(a,1,2))]. 5563 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5193(a,1),4409(a,1,1)),flip(a)]. 5564 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5193(a,1),4414(a,1,1)),flip(a)]. 5566 T(x \ y,R(y / x,z,u)) = x \ y. [para(5193(a,1),4625(a,1,2,1))]. 5567 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(124,a,4517,a,b,5196,a(flip))]. 5569 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5197(a,1),447(a,1,1))]. 5570 (x * K(y,y \ z)) * z != u * (y * (z / y)) | R(x,K(y,y \ z),z) = u. [para(5197(a,1),475(a,2,2))]. 5571 K(x,(x \ 1) * y) * y = x * (y / x). [para(4664(a,2),5197(a,1,1))]. 5574 x \ (T(x,y) * y) = y * K(x,y). [hyper(122,a,5219,a(flip),b,4468,a(flip))]. 5576 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5219(a,1),303(a,1))]. 5577 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(222(a,1),5219(a,1,2))]. 5578 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(223(a,1),5219(a,1,2))]. 5579 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(5219(a,1),479(a,1,1,1))]. 5583 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5220(a,1),25(a,2,2)),flip(a)]. 5584 K(x,y) * (x / y) = x / T(y,x). [hyper(4339,a,5228,a),flip(a)]. 5585 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(551,a,5228,a),flip(a)]. 5586 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(123,a,5130,a,b,5228,a)]. 5587 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(122,a,5130,a,b,5228,a)]. 5590 T(x,y) * z != x * u | K(y,x) * u = z. [para(5228(a,1),46(a,1)),flip(a)]. 5591 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5228(a,1),304(a,1,2)),flip(b)]. 5592 T(x,y) \ (x * z) != z * u | T(K(y,x),z) = u. [para(5228(a,1),375(a,1,2))]. 5593 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(5233(a,1),3054(a,1,1))]. 5594 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(43,a,5251,a,b,5240,a)]. 5595 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(43,a,5150,a,b,5240,a)]. 5596 T(x * K(x * y,x),y * x) = x. [hyper(43,a,4182,a(flip),b,5240,a),flip(a)]. 5597 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5252(a,1),221(a,1,2,1)),flip(a)]. 5599 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(27(a,2),5269(a,1,2))]. 5600 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5269(a,1),417(a,1,1,1)),flip(a)]. 5601 T(x,y) \ (y \ T(x,y)) = x \ (y \ x). [hyper(122,a,5271,a(flip),b,5153,a)]. 5602 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5069(a,2),5292(a,1,2))]. 5603 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4401(a,2),5293(a,2,2))]. 5604 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5150(a,1),5301(a,1,2,2))]. 5606 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [hyper(124,a,5359,a(flip),b,5174,a)]. 5608 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [hyper(285,a,27,a,b,5375,a),flip(a)]. 5609 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(28(a,1),5375(a,1,1))]. 5610 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5408(a,1),240(a,1,2)),flip(b)]. 5611 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5412(a,2),1147(a,2,2))]. 5612 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3849,a,5434,a)]. 5613 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [hyper(124,a,4665,a(flip),b,5434,a),flip(a)]. 5615 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4905(a,2),5434(a,1,2))]. 5616 T(K(x,x \ y),y) = K(x,x \ y). [hyper(224,a,5197,a,b,5435,a)]. 5617 T(x,K(y,y \ x)) = x. [hyper(224,a,5435,a,b,5197,a)]. 5618 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(66,a,5228,a,b,5435,a)]. 5619 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(66,a,3009,a,b,5435,a)]. 5620 x * (y / x) != y * z | K(x,x \ y) = z. [para(5435(a,1),46(a,1))]. 5621 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5435(a,1),105(a,2,1))]. 5622 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5435(a,1),462(a,1,2))]. 5623 (x \ 1) * (y * K(x,x \ y)) = L(y,x \ 1,x) / x. [para(5435(a,2),2187(a,1,2))]. 5624 K(x,K(y,y \ x)) = 1. [hyper(58,a,5617,a)]. 5625 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4905(a,2),5438(a,1,1))]. 5626 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1588(a,1,2,2,1))]. 5627 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1658(a,1,2,2,1))]. 5628 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(66,a,281,a(flip),b,5492,a),flip(a)]. 5629 K(x \ 1,x) * K(x \ 1,y) = T(x \ 1,y) * x. [para(5492(a,1),4743(a,1,2))]. 5630 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5514(a,1),1016(a,1))]. 5631 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1386,a,5515,a)]. 5632 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(5515(a,1),103(a,1,1))]. 5633 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(5515(a,1),5448(a,1,2))]. 5634 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [hyper(124,a,5516,a(flip),b,4544,a(flip))]. 5635 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5516(a,1),46(a,1))]. 5637 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(41,a,4088,a,b,5526,a),flip(a)]. 5638 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(41,a,4297,a(flip),b,5526,a),flip(a)]. 5643 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(32(a,2),5532(a,1,2,1))]. 5644 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(30(a,2),5533(a,1,2,1))]. 5646 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(123,a,4121,a(flip),b,5544,a(flip))]. 5648 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5545(a,1),445(a,1,1)),flip(a)]. 5649 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5134(a,1),5557(a,2,1)),flip(a)]. 5650 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(5574(a,1),5073(a,2,2,1))]. 5651 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5584(a,1),103(a,1,1))]. 5652 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5584(a,1),176(a,1,2,1))]. 5653 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5585(a,1),240(a,1,2)),flip(b)]. 5655 T(K(x,(x \ 1) * y),y) = K(x,x \ y). [para(4664(a,2),5616(a,1,1))]. 5660 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4231(a,2),5376(a,1,1))]. 5661 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(5385(a,1),4328(a,1,2)),flip(a)]. 5662 K(x,y) * z != u | K(y,x) \ z = u. [para(15(a,1),5453(a,1,2)),flip(b)]. 5664 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3751(a,2),5453(a,1,2)),flip(b)]. 5666 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5158(a,1),5453(a,1,2)),flip(b)]. 5667 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5515(a,1),5454(a,1,2))]. 5668 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(27(a,2),5464(a,1))]. 5670 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3196,a,5520,a)]. 5671 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5520(a,1),4395(a,1,1)),flip(a)]. 5675 T(x,y) \ (x * z) != u | K(x,y) \ z = u. [para(5544(a,2),5662(a,1))]. 5676 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(122,a,5670,a(flip),b,5152,a),flip(a)]. 5677 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,x \ 1). [hyper(122,a,5076,a(flip),b,3667,a)]. 5678 x \ K(y \ (x \ 1),y) = (y \ (x \ 1)) * y. [hyper(122,a,5076,a(flip),b,175,a(flip))]. 5679 K(x \ y,x) \ (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5076(a,1),19(a,2,1)),flip(a)]. 5680 ((1 / x) * y) \ K(y \ x,y) = L(T(y \ x,y),y,1 / x). [para(5076(a,1),216(a,1,2))]. 5682 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(14(a,1),5102(a,1,1,1)),flip(a)]. 5683 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5150(a,1),5133(a,1,1,1)),flip(a)]. 5685 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(123,a,829,a(flip),b,5154,a)]. 5687 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5154(a,1),225(a,2)),flip(a)]. 5688 x / (y * T(y \ x,z)) = K(z,x / y). [para(5154(a,1),5448(a,1,2))]. 5690 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3975(a,1),5159(a,1,2,1))]. 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(66,a,2807,a(flip),b,5166,a)]. 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(66,a,2215,a(flip),b,5166,a)]. 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(66,a,2052,a(flip),b,5166,a)]. 5695 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [hyper(124,a,5166,a(flip),b,1760,a(flip))]. 5696 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(123,a,5166,a(flip),b,798,a)]. 5697 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5166(a,1),25(a,2,2)),flip(a)]. 5698 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5166(a,1),1177(a,2,2))]. 5699 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5166(a,1),2045(a,2,1))]. 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5168(a,2),1357(a,2,1))]. 5702 T(T(1 / x,y) * x,z) / x = (1 / x) * T(K(x \ 1,y),z). [para(5177(a,1),896(a,1,1,1,1))]. 5703 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [hyper(124,a,5186,a(flip),b,27,a(flip))]. 5704 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5208,a,5201,a)]. 5706 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(66,a,4413,a,b,5704,a)]. 5707 K(x,(y \ z) / z) = K(x,y \ 1). [para(15(a,1),5704(a,1,2,2))]. 5708 K(x,(y / z) \ 1) = K(x,z / y). [para(17(a,1),5704(a,1,2,2)),flip(a)]. 5709 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5704(a,1),5234(a,1,1))]. 5712 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(463(a,1),5707(a,1,2,1)),flip(a)]. 5714 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(285,a,4413,a,b,5708,a)]. 5715 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(285,a,13,a,b,5708,a),flip(a)]. 5716 ((x / y) \ 1) \ K(z,y / x) = T((x / y) \ 1,z) \ 1. [hyper(122,a,5708,a(flip),b,5124,a(flip))]. 5718 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5239(a,1),588(a,1,1,1))]. 5719 T(x * K(x * y,x),y) = R(x,y,x). [hyper(38,a,4134,a,b,5242,a),flip(a)]. 5720 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5242,a),flip(a)]. 5721 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(123,a,5243,a,b,5192,a(flip))]. 5722 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(122,a,5243,a,b,5149,a(flip))]. 5723 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5243(a,2),3955(a,2,2))]. 5724 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5243(a,2),5121(a,2,1)),flip(a)]. 5725 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5243(a,2),5241(a,1))]. 5726 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5273(a,1),5259(a,1))]. 5727 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4284(a,2),5726(a,1))]. 5728 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(66,a,5255,a(flip),b,5300,a)]. 5729 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2963(a,1),5338(a,1,2))]. 5730 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5370(a,1),135(a,1))]. 5731 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(5373(a,1),4273(a,2,2))]. 5732 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5243(a,2),5402(a,1,1)),flip(a)]. 5734 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(123,a,1246,a(flip),b,5423,a),flip(a)]. 5735 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5425(a,1),705(a,1,1))]. 5736 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(285,a,3341,a(flip),b,5467,a),flip(a)]. 5737 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(15(a,1),5517(a,1,1,1)),flip(a)]. 5738 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5149(a,1),5517(a,1,1))]. 5740 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(285,a,4124,a,b,5518,a)]. 5742 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5125(a,2),5529(a,1,2,2))]. 5743 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(285,a,3353,a(flip),b,5542,a)]. 5744 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5542(a,2),3362(a,1))]. 5745 T(x,(((y \ z) \ 1) * (z / y)) * u) = T(x,K(y,y \ z) * u). [para(5560(a,1),4816(a,1,2,1)),flip(a)]. 5746 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5150(a,1),5586(a,1,1))]. 5747 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(28(a,1),5587(a,1,2))]. 5748 (x * T(y,x)) * T((x * T(y,x)) \ T(y,x),z) = x * (T(y,x) * T(y \ (x \ y),z)). [para(5601(a,1),830(a,2,2,2,1))]. 5749 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(15(a,1),5638(a,1,2,1,1))]. 5753 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(830(a,1),5688(a,1,2))]. 5754 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1414(a,1),5688(a,1,2))]. 5755 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5696(a,2),713(a,2,1)),flip(a)]. 5756 K(x,(y / z) \ 1) != u * 1 | K(x,z / y) = u. [para(5715(a,2),47(a,1))]. 5757 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5715(a,2),132(a,1)),flip(b)]. 5759 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [hyper(124,a,5743,a,b,176,a)]. 5760 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5743(a,1),46(a,1))]. 5763 T(x,y) * K(x * y,x) = R(x,y,x). [para(4345(a,1),5237(a,1,2))]. 5764 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(122,a,5763,a(flip),b,5152,a),flip(a)]. 5765 K(x * y,T(x,y)) = K(x * y,x). [hyper(37,a,5763,a,b,5367,a),flip(a)]. 5766 K(1 / x,y) != z | K(x \ 1,y) = z. [para(5171(a,1),5477(a,1))]. 5767 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(87(a,1),5766(a,1,1))]. 5770 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5527(a,1),5576(a,1,2))]. 5771 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3856(a,2),5620(a,1))]. 5775 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(116(a,1),5666(a,1,2))]. 5777 K(x,y \ 1) != z | K(x,1 / y) = z. [para(86(a,1),5757(a,1,2,1))]. 5778 K(T(x / y,z),T(x / y,z) \ 1) != u | K(x / y,y / x) = u. [para(3158(a,2),5757(a,1))]. 5783 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(135,a,5156,a)]. 5784 K(x * y,T(y,x)) = K(x * y,y). [hyper(37,a,5130,a(flip),b,5203,a),flip(a)]. 5785 K(x * y,y) = K(y * x,y). [hyper(4346,a,5784,a),flip(a)]. 5786 K(x * y,y) != z | K(y * x,y) = z. [para(5784(a,1),4346(a,1))]. 5787 K(x * (y / x),x) = K(y,x). [para(17(a,1),5785(a,1,1)),flip(a)]. 5788 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5785(a,2),5764(a,1,2))]. 5789 K(T(x,y) * y,x) = K(x * y,x). [para(3955(a,2),5787(a,1,1))]. 5790 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4905(a,2),5787(a,1,1))]. 5791 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3955(a,2),5790(a,1,1,1))]. 5792 K(x * y,y) * K(y,x) = y \ R(y,x,y). [hyper(2236,a,5788,a)]. 5793 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(66,a,3036,a(flip),b,5218,a),flip(a)]. 5794 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [hyper(124,a,5238,a,b,5534,a)]. 5795 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5244,a)]. 5796 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(35(a,1),5244(a,2,2))]. 5798 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5245,a)]. 5799 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [hyper(2416,a,5307,a)]. 5800 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5307(a,1),3418(a,1,1))]. 5801 K(x,y) * (K(y \ 1,y) * z) = ((T(y,x) \ 1) * y) * z. [para(5307(a,1),4776(a,1,1)),flip(a)]. 5802 (x * K(y,y \ 1)) / K(z,y) = x / ((T(y,z) \ 1) * y). [para(5307(a,1),4840(a,2,2))]. 5803 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(123,a,5387,a,b,5192,a(flip))]. 5804 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5387(a,2),5121(a,2,1)),flip(a)]. 5805 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(122,a,5388,a,b,5149,a(flip))]. 5806 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5388(a,2),4199(a,1,1))]. 5807 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5388(a,2),5121(a,2,1)),flip(a)]. 5808 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(5388(a,2),5413(a,1,1)),flip(a)]. 5809 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(5388(a,2),5402(a,1,1)),flip(a)]. 5812 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(285,a,2451,a(flip),b,5407,a)]. 5813 K(x \ y,y \ x) * K(x \ y,z) = T(x \ y,z) * (1 / (x \ y)). [para(2490(a,1),5416(a,1,1))]. 5814 (x * K(y,y \ 1)) * K(y,z) = x * (T(y,z) * (1 / y)). [para(5416(a,1),4891(a,2,2))]. 5815 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(981(a,1),5495(a,1,2,2))]. 5816 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1329(a,1),5495(a,1,2))]. 5817 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1363,a,5497,a),flip(a)]. 5818 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,5497,a),flip(a)]. 5819 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(66,a,838,a(flip),b,5497,a)]. 5820 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(124,a,5497,a(flip),b,838,a(flip))]. 5821 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(123,a,5497,a(flip),b,417,a)]. 5822 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(285,a,5497,a(flip),b,5502,a),flip(a)]. 5824 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(285,a,884,a(flip),b,5502,a),flip(a)]. 5826 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [hyper(123,a,838,a(flip),b,5502,a),flip(a)]. 5827 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(123,a,830,a(flip),b,5502,a)]. 5828 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(123,a,829,a(flip),b,5502,a)]. 5829 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [hyper(122,a,5502,a,b,xx)]. 5830 K((x / y) \ 1,z) = K(y / x,z). [hyper(38,a,5154,a,b,5502,a),flip(a)]. 5832 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(14(a,1),5502(a,2,2,1))]. 5833 K((x / y) \ 1,x) = K(x \ y,x). [hyper(285,a,5323,a(flip),b,5830,a),flip(a)]. 5834 K(x / (y * x),z) = K(y \ 1,z). [para(16(a,1),5830(a,1,1,1)),flip(a)]. 5835 K((x / (y * x)) \ 1,z) = K(y,z). [para(16(a,1),5830(a,2,1))]. 5836 K((x \ y) / y,z) = K(x \ 1,z). [para(87(a,1),5830(a,1,1,1)),flip(a)]. 5837 K(L(x \ y,x,z) / (z * y),u) = K((z * x) \ 1,u). [para(437(a,1),5830(a,1,1,1)),flip(a)]. 5838 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(285,a,5085,a,b,5833,a)]. 5839 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(285,a,4655,a(flip),b,5833,a),flip(a)]. 5840 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(16(a,1),5833(a,1,1,1)),flip(a)]. 5841 K(x \ (y \ x),x) = K(y \ 1,x). [para(87(a,1),5833(a,1,1,1)),flip(a)]. 5845 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5841(a,1),5087(a,1,1,2))]. 5846 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(66,a,4409,a,b,5522,a)]. 5847 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5523(a,2),225(a,2)),flip(a)]. 5848 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(37,a,5529,a,b,5543,a)]. 5850 K(x / (y \ 1),y) = K(y * x,y). [hyper(66,a,5646,a(flip),b,5546,a),flip(a)]. 5852 K(x / (y \ 1),y) = K(x * y,y). [hyper(285,a,5785,a,b,5850,a),flip(a)]. 5853 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3214,a,5552,a)]. 5854 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(122,a,15,a(flip),b,5563,a),flip(a)]. 5865 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5595(a,1),304(a,1,2)),flip(b)]. 5866 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5595(a,1),215(a,1,2,2))]. 5867 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(4181(a,1),5595(a,1,1))]. 5868 T(x,y) * T(y * K(z,y),x) = x * (y * K(z,T(y,x))). [para(5595(a,1),4513(a,1,2))]. 5869 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5595(a,1),5087(a,1,1))]. 5870 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(135,a,5637,a)]. 5871 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5637(a,1),5448(a,1,2))]. 5872 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(66,a,625,a(flip),b,5682,a)]. 5874 K(x,y) = (1 / (y * x)) * (x * y). [hyper(285,a,4955,a,b,5872,a),flip(a)]. 5875 K(x,y) / (x * y) = 1 / (y * x). [hyper(123,a,5872,a,b,4955,a)]. 5876 T(x * y,(y * x) \ 1) = ((y * x) \ 1) \ K(x,y). [hyper(122,a,5872,a,b,116,a),flip(a)]. 5877 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(122,a,5872,a,b,151,a(flip)),flip(a)]. 5880 (x * y) * ((y * x) * (1 / (x * y))) = (((x * y) \ 1) \ 1) * K(y,x). [para(5872(a,2),2912(a,1,2)),flip(a)]. 5882 (1 / ((x \ y) * x)) * y = K(x,x \ y). [hyper(285,a,152,a(flip),b,5874,a)]. 5883 ((1 / (x * y)) * y) \ K(y,x) = L(x,y,(x * y) \ 1). [hyper(122,a,5874,a,b,3667,a)]. 5885 (x * y) * ((y * x) * (1 / (x * y))) = T(y * x,(x * y) \ 1). [para(5875(a,1),3832(a,1,2,2))]. 5886 K(x \ (1 / y),T(x,x \ (y \ 1))) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4856(a,1),5875(a,2,2))]. 5887 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5373(a,2),5721(a,1,1,1))]. 5888 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(5367(a,1),5721(a,1,1,1))]. 5889 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(5595(a,1),5721(a,1,1,1))]. 5890 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5722(a,1),240(a,1,2)),flip(b)]. 5892 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) = K(z,T(x \ 1,y)). [para(3224(a,1),5722(a,1,2,1))]. 5893 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5785(a,1),5722(a,1,2,1,2))]. 5894 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5595(a,1),5724(a,1,1,1))]. 5895 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(66,a,5535,a,b,5737,a)]. 5899 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(5125(a,2),5737(a,1,2))]. 5900 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5742(a,1),46(a,1))]. 5905 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5749(a,1),5453(a,1,2)),flip(b)]. 5906 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5749(a,1),5098(a,2,2))]. 5907 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(90(a,1),5783(a,1,2,1,2))]. 5908 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(5791(a,1),5142(a,2,1))]. 5909 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(41,a,1345,a(flip),b,5829,a),flip(a)]. 5910 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(16(a,1),5829(a,1,2,1,1,1))]. 5913 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [hyper(124,a,5840,a(flip),b,97,a),flip(a)]. 5914 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5421(a,1),5845(a,1,1)),flip(a)]. 5916 ((x * L(y,x,z)) \ (z * (x * y))) \ R(z,x,L(y,x,z)) = K(x * L(y,x,z),R(z,x,L(y,x,z))). [para(854(a,1),5137(a,1,1))]. 5917 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4181(a,1),5160(a,1,2,1)),flip(a)]. 5918 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(28(a,1),5161(a,1,2,1))]. 5919 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(5258(a,1),494(a,1,1)),flip(a)]. 5920 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(38,a,5039,a,b,5272,a),flip(a)]. 5922 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5920(a,2),4797(a,1,2))]. 5923 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4741(a,1),5326(a,2,1,1))]. 5925 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(285,a,5149,a(flip),b,5379,a),flip(a)]. 5926 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5925(a,1),1575(a,1,2,3))]. 5927 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(5073(a,2),5925(a,1,1))]. 5928 R(x * K(y,x),y,x) = x * K(x * y,x). [para(5785(a,1),5925(a,2,2))]. 5929 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(5928(a,1),32(a,2,1))]. 5930 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5396(a,2),4229(a,1,1))]. 5931 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(84(a,1),5455(a,1,2))]. 5941 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(291,a,5460,a),flip(a)]. 5944 T(x,y) \ (x * z) != u * w | u \ (K(x,y) \ z) = w. [para(5544(a,2),5931(a,1))]. 5945 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5941(a,1),32(a,2,1))]. 5946 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5125(a,2),5164(a,1,1))]. 5948 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(124,a,5946,a(flip),b,23,a(flip))]. 5949 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(90(a,1),5946(a,1,1,2)),flip(a)]. 5950 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4596(a,1),5946(a,1,1)),flip(a)]. 5951 R(x,L(K(x,y),z,u),w) = x. [para(5949(a,1),4448(a,1,2))]. 5952 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(5951(a,1),112(a,1,1)),flip(a)]. 5953 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(357(a,1),5950(a,1,2,1)),flip(a)]. 5954 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5950(a,1),5334(a,1,1)),flip(a)]. 5955 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5950(a,1),5946(a,1,1)),flip(a)]. 5956 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(124,a,5953,a(flip),b,104,a),flip(a)]. 5957 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [hyper(285,a,5149,a(flip),b,5386,a),flip(a)]. 5960 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5393(a,1),630(a,1,1))]. 5961 K(x \ 1,y) * (K(x \ 1,x) * z) = (T(x \ 1,y) * x) * z. [para(5415(a,1),4776(a,1,1)),flip(a)]. 5962 K(x \ 1,x) * (y * K(x \ 1,z)) = y * (T(x \ 1,z) * x). [para(5415(a,1),4844(a,2,2))]. 5963 (K(x,y) / y) / (K(z \ 1,z) / T(y,x)) = K(z,z \ 1). [para(3655(a,1),5462(a,1,2))]. 5964 (K(x,y) / y) / (K(z \ u,u \ z) / T(y,x)) = K(u \ z,z \ u). [para(3661(a,1),5462(a,1,2))]. 5965 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(66,a,1416,a(flip),b,5491,a)]. 5966 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(90(a,1),5491(a,1,2,2,1,2))]. 5967 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(116(a,1),5491(a,1,2))]. 5969 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5126(a,1),5493(a,1,1))]. 5970 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,4413,a(flip),b,5969,a),flip(a)]. 5972 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(113(a,1),5969(a,2,1,1))]. 5973 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3341(a,1),5969(a,1,1)),flip(a)]. 5974 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(704(a,1),5970(a,1,1,1))]. 5975 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5973(a,1),5320(a,1,1)),flip(a)]. 5976 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5973(a,1),5334(a,1,1)),flip(a)]. 5977 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(5126(a,1),5494(a,1,1))]. 5978 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(5171(a,1),5494(a,1,1))]. 5979 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [hyper(124,a,5977,a(flip),b,23,a(flip))]. 5980 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1593(a,1),5977(a,1,1)),flip(a)]. 5981 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3341(a,1),5977(a,1,1)),flip(a)]. 5982 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(5977(a,1),4621(a,1,1))]. 5983 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5320(a,1),5977(a,1,1,1)),flip(a)]. 5985 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [hyper(124,a,5981,a(flip),b,5722,a),flip(a)]. 5986 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5981(a,1),5320(a,1,1)),flip(a)]. 5987 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(5981(a,1),5559(a,1,2,2))]. 5988 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5981(a,1),5728(a,2,2,1))]. 5989 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(123,a,5987,a(flip),b,5560,a)]. 5990 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(124,a,5498,a,b,838,a(flip))]. 5991 (x \ y) * T((x \ y) \ (x \ 1),z) = x \ K(y \ 1,z). [para(15(a,1),5498(a,1,2,1,1)),flip(a)]. 5994 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(838(a,1),5504(a,1,2))]. 5996 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5501(a,2),5504(a,1,2))]. 5997 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5342(a,1),5604(a,1,1)),flip(a)]. 5998 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4182(a,1),5608(a,1,1))]. 5999 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [hyper(138,a,5609,a)]. 6000 x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x \ 1,x). [hyper(124,a,5613,a(flip),b,404,a)]. 6001 K(x \ y,y \ x) * K((y \ x) \ 1,z) = T((y \ x) \ 1,z) * (y \ x). [para(2618(a,1),5629(a,1,1))]. 6002 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5479,a,5690,a),flip(a)]. 6004 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(87(a,1),6002(a,1,1)),flip(a)]. 6005 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4111(a,2),6004(a,1,1))]. 6006 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(136,a,5693,a)]. 6007 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5166(a,1),5694(a,1,1)),flip(a)]. 6009 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3366(a,1),6007(a,1,2,1)),flip(a)]. 6010 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(4596(a,1),6007(a,2,1))]. 6012 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6007(a,1),5180(a,1,2))]. 6013 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6010(a,1),3370(a,1,2,1))]. 6014 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6010(a,1),5946(a,1,1)),flip(a)]. 6017 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(5134(a,1),5703(a,1,2))]. 6018 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5031(a,1),5754(a,1,2))]. 6019 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(66,a,278,a(flip),b,5819,a)]. 6020 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5819(a,1),1640(a,2,2,1))]. 6021 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5819(a,2),5721(a,1,1,1))]. 6022 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5320(a,1),5820(a,1,2,2,1,1,2))]. 6023 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4191(a,1),5906(a,1,1,2))]. 6024 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5833(a,1),5907(a,1,1,2))]. 6025 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5073(a,2),6024(a,1,1))]. 6026 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(180,a,6025,a)]. 6027 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(285,a,5142,a,b,5908,a),flip(a)]. 6028 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(6027(a,1),5258(a,1,1,1)),flip(a)]. 6029 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(5910(a,1),240(a,1,2)),flip(b)]. 6030 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3319(a,1),5910(a,1,2,1)),flip(a)]. 6031 (((x \ 1) * y) \ y) * (x \ L(y,x \ 1,x)) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(404(a,2),5913(a,1,2))]. 6032 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(66,a,5950,a(flip),b,5986,a),flip(a)]. 6033 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(185,a,6032,a)]. 6034 L(K(x,y),z,u) != w \ 1 | L(K(y,x),z,u) = w. [para(6032(a,1),51(a,1))]. 6035 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6032(a,1),297(a,1,2)),flip(b)]. 6036 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6033(a,1),307(a,1,1)),flip(b)]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(90(a,1),5996(a,1,2,1,1))]. 6041 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3341(a,1),5996(a,1,2,1))]. 6042 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5149(a,2),5998(a,1,2))]. 6043 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(285,a,5695,a,b,6006,a),flip(a)]. 6044 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(87(a,1),6006(a,1,1,2,1))]. 6045 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(66,a,5848,a(flip),b,6017,a),flip(a)]. 6046 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5708(a,1),6043(a,1,1)),flip(a)]. 6047 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(225,a,6046,a)]. 6049 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(15(a,1),5427(a,1,2,2,1))]. 6050 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5335(a,2),5443(a,1,2))]. 6051 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(205(a,2),5706(a,1,2))]. 6052 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(205(a,1),5720(a,2,3))]. 6053 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(37,a,5034,a(flip),b,5795,a),flip(a)]. 6054 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6053(a,2),4784(a,1,2))]. 6057 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(5798(a,1),5345(a,1,2))]. 6059 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) != u | K(z,T(x \ 1,y)) = u. [para(3224(a,1),5865(a,1,2,1))]. 6060 (1 / L(x,y,(x * y) \ 1)) * ((K(y,x) \ ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),1479(a,1,1,2))]. 6063 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [hyper(124,a,5927,a,b,5373,a)]. 6064 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(5789(a,1),6057(a,1,2,1,2)),flip(a)]. 6065 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(37,a,1965,a,b,5204,a)]. 6066 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),2398(a,2,2))]. 6068 K(x * y,y \ (x \ 1)) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(6065(a,1),2895(a,1,1))]. 6069 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6065(a,1),3686(a,1,1))]. 6070 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6065(a,1),3638(a,1,1,2))]. 6071 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(5929(a,1),5249(a,1,1))]. 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(224,a,6071,a,b,xx)]. 6074 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5785(a,2),6072(a,1,1,1,2))]. 6075 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(6074(a,1),5248(a,1,1))]. 6076 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(592,a,6075,a)]. 6077 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(5253(a,1),4480(a,1,1,1,1))]. 6078 (T(x,y) * (1 / x)) * (z * K(x \ 1,x)) = K(x,y) * z. [hyper(4846,a,5417,a),flip(a)]. 6079 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [hyper(66,a,5503,a(flip),b,5505,a),flip(a)]. 6080 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(224,a,5503,a(flip),b,5505,a(flip)),flip(a)]. 6081 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(90(a,1),6080(a,2,1,1))]. 6082 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3341(a,1),6080(a,2,1))]. 6083 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6081(a,1),5977(a,1,1)),flip(a)]. 6084 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6082(a,1),5977(a,1,1)),flip(a)]. 6086 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5634(a,1),5551(a,1,2)),flip(a)]. 6087 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(285,a,4241,a(flip),b,5577,a),flip(a)]. 6088 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(285,a,4242,a(flip),b,5578,a),flip(a)]. 6090 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5166(a,1),5692(a,1,1))]. 6091 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4477,a,6090,a),flip(a)]. 6092 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(66,a,5969,a(flip),b,6090,a)]. 6093 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,6090,a),flip(a)]. 6094 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4596(a,1),6090(a,1,1)),flip(a)]. 6095 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5708(a,1),6090(a,1,1)),flip(a)]. 6096 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(36(a,1),6091(a,1,2,1))]. 6097 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(66,a,5975,a(flip),b,6094,a)]. 6098 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(66,a,5712,a(flip),b,6095,a),flip(a)]. 6099 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(488(a,1),6095(a,1,2,1)),flip(a)]. 6100 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(461(a,1),6095(a,1,2)),flip(a)]. 6101 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(17(a,1),6098(a,2,2,1))]. 6102 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(17(a,1),6098(a,2,2,2))]. 6103 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(87(a,1),6098(a,1,1,2)),flip(a)]. 6104 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6103(a,1,2))]. 6105 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(14(a,1),6104(a,1,2,2)),flip(a)]. 6106 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(176(a,1),6104(a,1,2,2)),flip(a)]. 6107 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(66,a,5969,a(flip),b,6105,a)]. 6108 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6105(a,1),32(a,2,1))]. 6109 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(495(a,1),6096(a,1,2,1)),flip(a)]. 6110 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(87(a,1),6099(a,1,1,2)),flip(a)]. 6111 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(66,a,2043,a(flip),b,5698,a)]. 6112 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5698(a,1),2073(a,1,1)),flip(a)]. 6113 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(66,a,1179,a(flip),b,5699,a)]. 6115 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(123,a,5732,a(flip),b,4427,a)]. 6116 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(830(a,1),5753(a,1,2,2))]. 6117 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1414(a,1),5753(a,1,2,2))]. 6118 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5379(a,2),5753(a,2,2))]. 6119 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(32(a,2),5818(a,2,2))]. 6120 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5865,a,5893,a),flip(a)]. 6121 K(x * y,T(y,z)) != u | K(y * x,T(y,z)) = u. [para(5893(a,1),5865(a,1))]. 6122 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6120(a,1),4346(a,1))]. 6123 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(66,a,5629,a(flip),b,5899,a),flip(a)]. 6124 x * T(x \ (T(x \ 1,y) * x),z) = (1 / x) \ T(T(x \ 1,y),z). [para(6123(a,1),892(a,1,2,1,2))]. 6125 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(135,a,5909,a),flip(a)]. 6126 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5981(a,1),5954(a,1,1)),flip(a)]. 6127 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(305,a,6126,a),flip(a)]. 6128 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(285,a,2238,a(flip),b,6126,a),flip(a)]. 6129 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6127(a,1),304(a,1,2)),flip(b)]. 6130 ((x / y) * K(z,x / y)) * y = y * ((y \ x) * K(z,y \ x)). [hyper(124,a,5957,a(flip),b,27,a(flip)),flip(a)]. 6131 K(T(x / y,z),T(x / y,z) \ 1) = (K(u,w) / w) / (K(x \ y,y \ x) / T(w,u)). [para(3464(a,1),5963(a,1,2,1)),flip(a)]. 6132 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5497(a,1),5965(a,1,1))]. 6133 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6094(a,1),5976(a,1,1)),flip(a)]. 6134 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(305,a,6133,a),flip(a)]. 6135 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(185,a,6133,a)]. 6136 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(123,a,176,a(flip),b,6133,a(flip))]. 6137 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6133(a,2),132(a,1)),flip(b)]. 6138 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6134(a,1),304(a,1,2)),flip(b)]. 6139 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(196,a,6136,a)]. 6141 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5101(a,1),6136(a,1,2,1))]. 6142 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(5197(a,1),6136(a,1,2,1))]. 6143 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(66,a,153,a(flip),b,6141,a),flip(a)]. 6144 K(((x \ y) * ((x \ 1) \ 1)) \ 1,z) = (x \ K(y \ 1,z)) * ((x \ 1) \ 1). [para(5991(a,1),5965(a,1,1)),flip(a)]. 6145 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(285,a,5910,a(flip),b,6030,a),flip(a)]. 6146 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = K(x,y) * ((x \ 1) * z). [para(3744(a,1),6078(a,1,2))]. 6147 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6084(a,1),5334(a,1,1)),flip(a)]. 6148 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6044(a,2),6113(a,1,2))]. 6149 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(14(a,1),6148(a,1,2,2)),flip(a)]. 6152 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(4596(a,1),6149(a,1,1)),flip(a)]. 6153 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(6032(a,2),6128(a,2,2)),flip(a)]. 6154 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(123,a,5284,a(flip),b,116,a)]. 6155 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5298(a,1),1833(a,1,2))]. 6156 ((1 / (x * y)) * (x * y)) / L(x,y * K(x,y),1 / (x * y)) = a((x * y) \ 1,(x * y) / x,x) / x. [hyper(285,a,3939,a,b,5384,a),flip(a)]. 6157 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5219(a,1),5431(a,1,2,2))]. 6158 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(767,a,6157,a),flip(a)]. 6159 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5536(a,1),456(a,1,1))]. 6160 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6138,a,5652,a)]. 6163 ((1 / x) * y) \ K(y \ x,y) = T(((1 / x) * y) \ 1,y). [hyper(285,a,697,a,b,5680,a),flip(a)]. 6164 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4639(a,1),5755(a,1,1,1))]. 6165 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(32(a,2),5888(a,1,1))]. 6166 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [hyper(285,a,5160,a(flip),b,5917,a),flip(a)]. 6168 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5972(a,1),112(a,1,1))]. 6170 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5833(a,1),5972(a,1,1))]. 6171 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(14(a,1),6170(a,1,1,1))]. 6172 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4787,a,5979,a),flip(a)]. 6173 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(37,a,5922,a,b,5979,a)]. 6174 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5979(a,1),46(a,1)),flip(a)]. 6175 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(268(a,1),5979(a,1,2,1,1))]. 6176 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(124,a,6172,a(flip),b,1252,a)]. 6177 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6176(a,1),2647(a,1,1))]. 6178 (L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(6000(a,1),4314(a,1,1,1))]. 6179 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(830(a,1),6029(a,1))]. 6180 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6053(a,2),6054(a,2,2,2))]. 6181 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(37,a,5405,a,b,6063,a),flip(a)]. 6182 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(285,a,6065,a(flip),b,6069,a),flip(a)]. 6184 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(66,a,6135,a,b,6139,a)]. 6185 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(285,a,4791,a(flip),b,6164,a),flip(a)]. 6186 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6171(a,1),3189(a,1,2))]. 6187 x * (T(y,x) * T(y \ (x \ y),z)) != u | K(x \ 1,z) * T(y,x) = u. [para(5601(a,1),6179(a,1,2,2,1))]. 6188 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1579(a,1),5096(a,1,1,1,2,1))]. 6189 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(285,a,4938,a(flip),b,5104,a),flip(a)]. 6191 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5414(a,2),5215(a,1,2,1))]. 6192 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5256(a,2),5286(a,1,2,1))]. 6193 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5150(a,1),6192(a,1,2,1)),flip(a)]. 6194 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(66,a,5152,a,b,5306,a)]. 6195 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1628,a,5378,a),flip(a)]. 6196 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(684(a,1),5506(a,1,1))]. 6197 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),6196(a,1,1,2))]. 6199 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(224,a,6197,a,b,15,a),flip(a)]. 6200 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(123,a,150,a(flip),b,6197,a)]. 6201 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(123,a,6197,a(flip),b,112,a)]. 6204 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6200(a,1),118(a,1,1))]. 6205 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5131(a,1),6200(a,1,1)),flip(a)]. 6206 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(128,a,6205,a)]. 6207 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(66,a,3441,a,b,6206,a)]. 6208 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(16(a,1),6207(a,1,2,2))]. 6209 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(66,a,3339,a,b,6208,a)]. 6210 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(66,a,5628,a(flip),b,6208,a)]. 6211 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [hyper(124,a,6209,a(flip),b,5408,a)]. 6212 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(38,a,5492,a,b,6210,a)]. 6213 R(T(1 / x,y * x),x,y) = (x * y) \ y. [para(6212(a,2),4835(a,1,1))]. 6214 T(R(1 / x,x,y),y * x) = (x * y) \ y. [hyper(66,a,32,a(flip),b,6213,a)]. 6215 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(285,a,4571,a(flip),b,6199,a),flip(a)]. 6216 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(285,a,2979,a(flip),b,5593,a),flip(a)]. 6217 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(5335(a,1),5650(a,2,2))]. 6219 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5523(a,1),5685(a,1,1,2)),flip(a)]. 6220 (1 / x) * T(K(x \ 1,y),z) = T(K(x \ 1,y),z) / x. [para(5492(a,1),5702(a,1,1,1)),flip(a)]. 6221 T(K(x \ 1,y),z) \ (T(K(x \ 1,y),z) / x) = 1 / x. [hyper(122,a,6220,a(flip),b,3365,a)]. 6222 (T(K(x \ 1,y),z) * (((1 / x) \ 1) \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(6221(a,1),2524(a,1,1,2,1,1))]. 6223 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(28(a,1),5747(a,1,1))]. 6224 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1427(a,1),5827(a,1,1))]. 6225 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(6074(a,1),5889(a,1,1))]. 6226 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(66,a,502,a,b,5914,a)]. 6227 ((K(x \ 1,x) * y) * K(x \ 1,z)) \ ((T(x \ 1,z) * x) * y) = K(K(x \ 1,z),K(x \ 1,x) * y). [hyper(122,a,5961,a(flip),b,96,a)]. 6228 ((T(x \ 1,y) * x) * z) \ ((K(x \ 1,x) * z) * K(x \ 1,y)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(5961(a,1),21(a,2,1)),flip(a)]. 6229 (K(x \ 1,x) * y) * K(x \ 1,z) = y * (T(x \ 1,z) * x). [hyper(66,a,3646,a,b,5962,a)]. 6230 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5497(a,2),6022(a,1,2))]. 6231 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(90(a,1),6040(a,2,1,1))]. 6232 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(14(a,1),6231(a,1,2,2)),flip(a)]. 6234 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(123,a,6232,a,b,xx)]. 6235 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(122,a,6232,a,b,116,a)]. 6238 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3341(a,1),6041(a,2,1))]. 6239 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(27(a,2),6238(a,1,2,2))]. 6240 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(123,a,6066,a(flip),b,2893,a)]. 6241 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),6066(a,1,1))]. 6242 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4250(a,1),6087(a,1,2))]. 6243 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4250(a,1),6088(a,1,2))]. 6244 (x * K(y,(x \ z) \ 1)) / z = (x / z) * K(y,x / z). [hyper(123,a,5956,a(flip),b,6130,a)]. 6245 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(337,a,6132,a)]. 6246 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(4596(a,1),6152(a,1,2,1)),flip(a)]. 6247 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(5361(a,1),6246(a,2,2))]. 6249 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(384,a,6191,a)]. 6250 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5327(a,1),6195(a,1,2)),flip(a)]. 6251 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(285,a,5372,a(flip),b,6250,a),flip(a)]. 6252 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(15(a,1),6251(a,1,1,1)),flip(a)]. 6253 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2853(a,1),6215(a,1,2)),flip(a)]. 6254 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(39,a,5448,a,b,6219,a(flip))]. 6256 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(128,a,6230,a)]. 6257 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6230(a,1),46(a,1))]. 6258 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(414(a,1),6230(a,1,2)),flip(a)]. 6259 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(135,a,6254,a),flip(a)]. 6261 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1149(a,1),6254(a,1,1,2))]. 6262 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6254(a,1),5454(a,1,2))]. 6263 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5452,a,6261,a),flip(a)]. 6264 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5360(a,1),6261(a,1,2,2)),flip(a)]. 6265 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(122,a,82,a(flip),b,6263,a),flip(a)]. 6266 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(122,a,6265,a,b,1479,a)]. 6267 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4483,a,6264,a)]. 6268 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6256(a,1),4922(a,1,1))]. 6269 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(5026,a,6258,a)]. 6270 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6258(a,2),46(a,1))]. 6273 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6269(a,2),4785(a,1,2))]. 6274 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(14(a,1),6268(a,1,1,2,1)),flip(a)]. 6275 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6274(a,2),47(a,1))]. 6276 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5068(a,2),505(a,1))]. 6277 R((x \ 1) / (y \ T(x \ 1,z)),y \ T(x \ 1,z),K(x,x \ 1)) = (1 / x) / (y \ T(1 / x,z)). [para(3928(a,1),5561(a,2,2))]. 6278 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5334(a,1),5621(a,1,1))]. 6279 K(L(x,y,x),y) = K(x,y). [hyper(5660,a,5371,a)]. 6280 K(T(x,x * y),y) = K(x,y). [hyper(66,a,5325,a,b,6279,a)]. 6281 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [hyper(5464,a,5679,a)]. 6283 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(4475,a,5809,a),flip(a)]. 6284 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(116(a,1),5866(a,1,2)),flip(a)]. 6285 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(285,a,3211,a(flip),b,6284,a)]. 6286 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(285,a,345,a(flip),b,5980,a),flip(a)]. 6288 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1080(a,1),6286(a,1,2))]. 6289 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(59,a,6288,a)]. 6290 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(57,a,6289,a)]. 6291 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1242(a,2),6290(a,1,1))]. 6292 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6291(a,1),4311(a,1,2)),flip(a)]. 6293 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(285,a,2554,a(flip),b,6292,a),flip(a)]. 6294 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1242(a,1),6293(a,1,1))]. 6295 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5063(a,2),6112(a,1,2))]. 6296 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(98(a,1),6226(a,1,3,2))]. 6297 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4188(a,1),6252(a,1,1)),flip(a)]. 6298 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(285,a,3997,a(flip),b,6297,a),flip(a)]. 6299 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(38,a,5406,a,b,6298,a),flip(a)]. 6300 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(285,a,5444,a,b,6299,a),flip(a)]. 6301 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4252(a,1),6300(a,1,2))]. 6302 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(180,a,6301,a)]. 6303 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5444(a,1),6302(a,1,1))]. 6304 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5149(a,2),6303(a,1,1,2))]. 6305 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(y \ 1,x \ y,x). [hyper(285,a,3935,a(flip),b,6281,a),flip(a)]. 6306 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(265,a,6295,a)]. 6307 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3826(a,1),6306(a,1,2)),flip(a)]. 6309 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(4596(a,1),6307(a,1,1,2))]. 6311 (x * K(y,z)) * y = x * T(y,z). [para(3029(a,1),6309(a,2,2))]. 6312 R(x,K(y,z),y) = x. [hyper(5282,a,6311,a)]. 6313 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(285,a,3193,a,b,6311,a),flip(a)]. 6315 x * T(y * K(x,z),x) = y * T(x,z). [hyper(264,a,6311,a)]. 6316 (x * T(y,z)) / y = x * K(y,z). [hyper(135,a,6311,a)]. 6317 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(128,a,6311,a)]. 6319 (x / T(y,z)) * K(y,z) = x / y. [hyper(123,a,17,a(flip),b,6311,a),flip(a)]. 6320 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(38,a,1224,a,b,6311,a),flip(a)]. 6321 (x / y) * T(y,z) = x * K(y,z). [hyper(38,a,1204,a,b,6311,a)]. 6322 (x * y) * K(y,z) = x * T(y,z). [hyper(38,a,1200,a,b,6311,a),flip(a)]. 6323 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6311(a,1),19(a,2,1,2)),flip(a)]. 6327 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5128(a,1),6311(a,1,1))]. 6328 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6311(a,1),5788(a,1,2,1))]. 6329 R(x,R(K(y,z),u,w),y) = x. [para(6094(a,1),6312(a,1,2))]. 6330 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6329(a,1),112(a,1,1)),flip(a)]. 6331 (x * K(y,z)) / T(y,z) = x / y. [hyper(123,a,6316,a(flip),b,1206,a(flip))]. 6332 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6316,a(flip),b,1206,a(flip))]. 6333 x / y != z * K(y,u) | z * T(y,u) = x. [para(6316(a,1),49(a,1)),flip(a)]. 6334 L(x,K(x,y),z) = x. [hyper(5281,a,6317,a)]. 6335 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(66,a,6050,a(flip),b,6334,a)]. 6336 (x * K(y,z)) * (y * K(z,y)) = x * y. [hyper(124,a,6334,a(flip),b,6050,a(flip))]. 6337 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6334(a,1),410(a,1,2,1))]. 6338 (x * K(y,z)) * R(y,u,w) = x * (K(y,z) * R(y,u,w)). [para(6334(a,1),411(a,1,2,1))]. 6343 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4495(a,1),6319(a,1,1))]. 6344 x * T(x \ y,z) = y * K(x \ y,z). [hyper(315,a,6321,a)]. 6346 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,5028,a(flip),b,6321,a),flip(a)]. 6348 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(123,a,6321,a(flip),b,6311,a)]. 6349 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(122,a,175,a(flip),b,6321,a(flip))]. 6351 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6321(a,1),882(a,1,2,1))]. 6352 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5120(a,2),6321(a,1,1))]. 6353 R(x,y,K(y,z)) = x. [hyper(5213,a,6322,a)]. 6355 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(285,a,5023,a,b,6322,a),flip(a)]. 6357 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(224,a,6322,a,b,15,a),flip(a)]. 6358 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(128,a,6322,a)]. 6359 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(122,a,17,a(flip),b,6322,a)]. 6361 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(37,a,5948,a(flip),b,6322,a(flip)),flip(a)]. 6362 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(6322(a,1),23(a,2,2,2)),flip(a)]. 6366 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6322(a,1),513(a,1))]. 6367 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6322(a,1),469(a,1,1))]. 6369 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6353(a,1),2528(a,1,1,1))]. 6372 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6332(a,1),5870(a,1,2))]. 6373 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6332(a,1),5871(a,1,1))]. 6374 L(K(x,y),x,z) = K(x,y). [hyper(5212,a,6358,a)]. 6375 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6358(a,1),240(a,1,2)),flip(b)]. 6380 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(285,a,5320,a,b,6374,a),flip(a)]. 6382 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6374(a,1),34(a,1,1)),flip(a)]. 6383 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6374(a,1),413(a,1,2,1))]. 6384 (x \ 1) * T(K(x \ 1,y),z) = x \ T(K(x \ 1,y),z). [para(6374(a,1),504(a,1,2,1)),flip(a)]. 6385 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6374(a,1),506(a,1,2,1))]. 6388 L(K(x,y),y,z) = K(x,y). [hyper(6034,a,6380,a)]. 6389 L(K(x,y),x,z) != u | K(x,y) = u. [para(6380(a,2),5332(a,1))]. 6390 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(285,a,6388,a,b,6388,a)]. 6392 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(66,a,5953,a(flip),b,6388,a)]. 6393 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(124,a,6388,a(flip),b,106,a),flip(a)]. 6394 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(124,a,6388,a(flip),b,23,a(flip))]. 6395 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6388(a,1),35(a,1,1)),flip(a)]. 6403 L(K(x,y),y,z) != u | K(x,y) = u. [para(6390(a,1),3653(a,1)),flip(b)]. 6404 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5777,a,6392,a)]. 6406 T(K(x,y / z),y) = K(x,z \ y). [hyper(66,a,6047,a,b,6392,a)]. 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(14(a,1),6392(a,1,2,1)),flip(a)]. 6408 K(x,((y * z) \ y) \ 1) = K(x,z). [para(14(a,1),6392(a,2,2))]. 6409 K(x,y \ (y / z)) = K(x,z \ 1). [para(90(a,1),6392(a,1,2,1)),flip(a)]. 6410 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(105(a,2),6392(a,1,2,1))]. 6411 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(657(a,1),6392(a,1,2,1)),flip(a)]. 6412 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(993(a,1),6392(a,1,2,1))]. 6414 T(x \ y,K(z,y \ x)) = x \ y. [para(6392(a,1),2090(a,1,2))]. 6416 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5334(a,1),6392(a,1,2,1))]. 6417 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6392(a,1),5946(a,1,1)),flip(a)]. 6418 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6392(a,1),5695(a,1,2))]. 6419 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6392(a,1),6043(a,2,2))]. 6420 K(x,y / z) * y = y * K(x,z \ y). [para(6392(a,1),6046(a,1,2)),flip(a)]. 6421 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6392(a,1),6090(a,1,1)),flip(a)]. 6422 (x * K(y,z \ x)) / z = (x / z) * K(y,x / z). [para(6392(a,1),6244(a,1,1,2))]. 6423 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5953(a,1),6403(a,1))]. 6424 K(x,x / y) = K(x,y \ x). [hyper(66,a,3343,a(flip),b,6406,a)]. 6425 K(x,(y \ z) \ z) = T(K(x,y),z). [para(87(a,1),6406(a,1,1,2)),flip(a)]. 6427 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(6406(a,1),5319(a,1,2)),flip(a)]. 6428 K(x,(y \ x) \ x) = K(x,y). [para(87(a,1),6424(a,1,2)),flip(a)]. 6429 K(x,x / (x / y)) = K(x,y). [para(90(a,1),6424(a,2,2))]. 6433 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5877(a,2,2))]. 6434 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(285,a,6388,a,b,6408,a)]. 6437 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [hyper(124,a,6414,a(flip),b,27,a(flip))]. 6439 K(x,T(y,y \ z)) = T(K(x,y),z). [para(117(a,2),6425(a,1,2))]. 6440 T(K(x,y),z * y) = K(x,T(y,z)). [para(4140(a,2),6425(a,1,2)),flip(a)]. 6441 T(K(x,y),y * z) = K(x,T(y,z)). [para(14(a,1),6439(a,1,2,2)),flip(a)]. 6442 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(285,a,6440,a,b,6441,a)]. 6443 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [hyper(124,a,6441,a(flip),b,27,a(flip))]. 6445 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(122,a,2430,a,b,6315,a),flip(a)]. 6447 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6315(a,1),263(a,1))]. 6453 (x * K(x \ y,z)) \ y = (x \ y) * K(z,x \ y). [para(15(a,1),6335(a,1,2))]. 6454 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6335(a,1),1667(a,1,2,2,1,2)),flip(a)]. 6455 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6335(a,1),1609(a,1,1)),flip(a)]. 6456 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5730,a,6336,a)]. 6457 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(123,a,17,a(flip),b,6336,a)]. 6459 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5847,a,6344,a),flip(a)]. 6460 T(K(x / y,z),x) = K(y \ x,z). [hyper(5687,a,6344,a)]. 6461 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,6344,a),flip(a)]. 6462 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(66,a,838,a(flip),b,6344,a)]. 6466 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [hyper(122,a,838,a(flip),b,6344,a(flip))]. 6467 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [hyper(37,a,5505,a(flip),b,6344,a(flip))]. 6468 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(37,a,5497,a(flip),b,6344,a(flip))]. 6471 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(6344(a,2),2202(a,1,1))]. 6472 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6344(a,2),3211(a,1,2,1)),flip(a)]. 6473 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6344(a,2),3210(a,1,1,1)),flip(a)]. 6475 K((x \ y) \ y,y) = K(x,y). [hyper(285,a,3183,a(flip),b,6459,a),flip(a)]. 6476 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [hyper(124,a,6475,a(flip),b,21,a(flip))]. 6477 K(x / y,x) = K(y \ x,x). [para(90(a,1),6475(a,1,1,1)),flip(a)]. 6478 K((x / y) \ 1,y) = K(x \ y,y). [hyper(66,a,5830,a,b,6477,a)]. 6479 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(66,a,5200,a,b,6477,a)]. 6480 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(66,a,5836,a(flip),b,6477,a),flip(a)]. 6481 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(66,a,3246,a(flip),b,6460,a)]. 6482 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(285,a,625,a(flip),b,6468,a),flip(a)]. 6484 K((x * y) \ x,z) = K(y \ 1,z). [para(14(a,1),6468(a,1,1,1)),flip(a)]. 6485 K(x \ (x / y),z) = K(y \ 1,z). [para(90(a,1),6468(a,1,1,1)),flip(a)]. 6488 K(((x / y) * x) \ (y * (x / y)),z) = K(T(y \ x,x) \ 1,z). [para(4364(a,1),6468(a,1,1,1)),flip(a)]. 6490 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5334(a,1),6468(a,1,1,1))]. 6491 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6468(a,1),5162(a,1,1))]. 6496 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(66,a,6478,a,b,6484,a)]. 6497 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(6484(a,1),399(a,1,2))]. 6511 1 / (x * K(y,x)) = K(x,y) / x. [hyper(123,a,5321,a(flip),b,6393,a)]. 6512 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(122,a,5321,a(flip),b,6393,a)]. 6513 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(5193(a,1),6393(a,1,2))]. 6514 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(66,a,5997,a(flip),b,6511,a)]. 6515 K(x,y) / x = 1 / ((y * x) / y). [para(5149(a,2),6511(a,1,2)),flip(a)]. 6516 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(6511(a,1),5254(a,2,1)),flip(a)]. 6518 K(x,y) * (1 / x) = K(x,y) / x. [hyper(5464,a,6514,a)]. 6519 T(1 / ((x * y) / x),y) = y \ K(y,x). [para(6515(a,1),118(a,1,1))]. 6520 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(756(a,1),6515(a,2,2))]. 6521 R(x,y,K(z,y)) = x. [hyper(475,a,6394,a)]. 6523 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5193(a,1),6394(a,2,2))]. 6524 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6394(a,1),6311(a,1,1))]. 6526 K(x,L(x,y,z) / u) = K(x,u \ L(x,y,z)). [hyper(38,a,3354,a(flip),b,6420,a),flip(a)]. 6527 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6442(a,2),5418(a,1,1))]. 6528 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(66,a,5393,a(flip),b,6456,a)]. 6529 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(66,a,153,a(flip),b,6456,a)]. 6533 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5193(a,1),6457(a,1,2)),flip(a)]. 6534 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(66,a,6082,a(flip),b,6467,a),flip(a)]. 6535 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(66,a,3462,a(flip),b,6467,a),flip(a)]. 6536 ((x * y) / x) * T(T(((x * y) / x) \ 1,y),z) = T(y \ K(y,x),z) * ((x * y) / x). [para(6519(a,1),424(a,1,1,1)),flip(a)]. 6537 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5193(a,1),6528(a,1,1,2))]. 6538 K(((x \ 1) * y) \ y,(x \ 1) * y) = K(x,x \ y). [hyper(285,a,5655,a(flip),b,6534,a),flip(a)]. 6540 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(112(a,1),6535(a,1,1,1))]. 6542 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(6361(a,2),5180(a,1))]. 6545 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5146(a,1),6375(a,1,1))]. 6546 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5192(a,2),6375(a,1,1))]. 6547 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [hyper(124,a,6382,a(flip),b,106,a),flip(a)]. 6548 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4598(a,2),6423(a,1))]. 6549 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6047(a,2),6423(a,1))]. 6550 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(116(a,1),6434(a,2,2,1,1))]. 6551 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6434(a,1),3653(a,1)),flip(b)]. 6554 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(12(a,1),6551(a,1,2,1,1))]. 6555 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(1959(a,2),6554(a,1,2))]. 6556 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2383(a,1),6554(a,1,2))]. 6557 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2484(a,2),6554(a,1,2))]. 6558 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3585(a,2),6554(a,1,2))]. 6559 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3497(a,1),6313(a,1,1)),flip(a)]. 6560 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(66,a,5317,a(flip),b,6357,a),flip(a)]. 6561 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5153(a,2),6416(a,1,2,1))]. 6562 K(x,T(K(y,z) * u,w) \ 1) = T(K(x,u \ K(z,y)),w). [para(6416(a,1),6007(a,2,1))]. 6563 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(285,a,2060,a(flip),b,6418,a)]. 6564 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6418(a,1),46(a,1))]. 6565 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(285,a,5564,a(flip),b,6443,a),flip(a)]. 6566 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3185(a,1),6443(a,1,2,2)),flip(a)]. 6567 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4963,a,6462,a)]. 6568 K((x \ 1) \ y,y) = K(x * y,y). [hyper(37,a,5373,a(flip),b,6462,a(flip)),flip(a)]. 6569 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6462(a,1),1671(a,2,2,1))]. 6570 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6462(a,1),4922(a,1,1))]. 6571 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6462(a,1),4927(a,1,1))]. 6572 K((x \ 1) \ y,y) = K(y * x,y). [hyper(285,a,5785,a(flip),b,6568,a),flip(a)]. 6573 K((1 / x) * y,y) = K(x \ y,y). [para(90(a,1),6568(a,1,1,1)),flip(a)]. 6574 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(17(a,1),6466(a,1,2,2,1)),flip(a)]. 6575 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(66,a,5965,a(flip),b,6471,a)]. 6576 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6575(a,1),5990(a,1,2,2))]. 6577 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6490(a,1),6080(a,2,1))]. 6578 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(66,a,1233,a,b,6513,a)]. 6580 K(K(x,x \ y) / (z * (y / x)),u) = K((z * (x \ y)) \ 1,u). [para(6523(a,1),5834(a,1,1,2))]. 6581 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5149(a,2),6524(a,1,1,2))]. 6582 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6524(a,1),5422(a,1,2))]. 6583 R(K(x,(y / z) \ L(x,u,w)),L(x,u,w),z) = K(x,(L(x,u,w) * z) / y). [para(6526(a,1),6102(a,1,1))]. 6585 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(16(a,1),6537(a,1,1)),flip(a)]. 6586 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6576(a,1),1690(a,2,2,1))]. 6587 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(66,a,153,a(flip),b,6578,a),flip(a)]. 6588 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3368,a,b,6581,a),flip(a)]. 6590 T(x / (y / z),K(z,z \ y)) = K(z \ y,z) * (x / (z \ y)). [hyper(224,a,6587,a,b,5360,a)]. 6592 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6491,a,5142,a(flip))]. 6593 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [hyper(124,a,6592,a(flip),b,27,a(flip))]. 6594 T(x,(y * z) \ y) = T(x,z \ 1). [para(14(a,1),6592(a,1,2,1)),flip(a)]. 6596 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(23(a,2),6592(a,1,2,1)),flip(a)]. 6597 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(27(a,2),6592(a,1,2,1))]. 6599 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6592(a,1),3046(a,1,2))]. 6600 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5334(a,1),6592(a,2,2))]. 6601 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(632,a,6594,a),flip(a)]. 6603 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6597(a,2),249(a,1,2))]. 6604 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(285,a,358,a,b,6601,a)]. 6605 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(185,a,6604,a)]. 6606 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4977(a,1),6605(a,1,2))]. 6607 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(6352(a,1),46(a,1)),flip(a)]. 6608 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6383(a,1),5355(a,1,2))]. 6609 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(66,a,5110,a,b,6385,a)]. 6610 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6385(a,1),5111(a,1,1,1)),flip(a)]. 6611 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2958(a,1),6417(a,1,2,1)),flip(a)]. 6612 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [hyper(124,a,6437,a(flip),b,5544,a)]. 6613 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6461(a,1),2959(a,1,2))]. 6614 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(285,a,4020,a(flip),b,6476,a),flip(a)]. 6615 x / R(1 / (y \ 1),y \ 1,x) = ((y \ 1) * x) * K(y,y \ x). [para(6538(a,1),5091(a,1,2)),flip(a)]. 6616 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(38,a,4355,a,b,6559,a)]. 6617 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5134(a,2),6616(a,1,2))]. 6618 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6617(a,1),32(a,2,1))]. 6619 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6618(a,1),394(a,1,1))]. 6620 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(117(a,1),6619(a,1,1,1))]. 6621 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6620(a,1),4572(a,1,1,1))]. 6622 (x * ((1 / y) / x)) * y != z | K(x,(x * y) \ 1) = z. [para(6563(a,2),125(a,1))]. 6623 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5197(a,2),6563(a,1,1))]. 6624 T((x / y) * K((L(y,z,u) \ 1) \ (x / y),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(1568(a,1),6571(a,2,2))]. 6625 K(x,x * (y / x)) = K(x,y). [hyper(4270,a,6614,a)]. 6626 K(x,y * x) = K(x,x * y). [para(16(a,1),6625(a,1,2,2)),flip(a)]. 6627 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4905(a,2),6625(a,1,2))]. 6628 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4912(a,1),6625(a,1,2)),flip(a)]. 6629 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4913(a,1),6625(a,1,2))]. 6630 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5063(a,2),6625(a,1,2))]. 6631 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(93(a,1),6626(a,2,2))]. 6632 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4913(a,1),6627(a,1,2,1))]. 6633 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4105(a,2),6629(a,2,2))]. 6634 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(66,a,6417,a(flip),b,6410,a)]. 6635 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6389,a,6634,a),flip(a)]. 6636 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(15(a,1),6634(a,2,2,1))]. 6637 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(15(a,1),6634(a,2,2,2))]. 6638 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(90(a,1),6634(a,1,1,2)),flip(a)]. 6639 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6634(a,1),6389(a,1))]. 6640 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(15(a,1),6635(a,1,2,1)),flip(a)]. 6641 K(x,(1 / y) * x) = K(x,y \ x). [para(162(a,1),6635(a,1,2))]. 6642 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(105(a,2),6635(a,1,2))]. 6643 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4523(a,1),6642(a,1,2))]. 6644 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [hyper(124,a,6636,a(flip),b,23,a(flip))]. 6645 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6636(a,1),6389(a,1))]. 6646 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6638(a,1,2))]. 6647 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(285,a,6032,a,b,6646,a),flip(a)]. 6648 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(16(a,1),6646(a,1,2,2)),flip(a)]. 6649 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(66,a,6395,a,b,6648,a)]. 6650 K(L(x,y * z,u) \ 1,z) = K(x \ 1,L(z,y,u)). [hyper(66,a,5977,a(flip),b,6648,a)]. 6651 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(5347,a,6647,a)]. 6652 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6647(a,2),6036(a,1))]. 6653 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(16(a,1),6651(a,1,1,2)),flip(a)]. 6654 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(87(a,1),6651(a,1,1,2)),flip(a)]. 6655 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4120(a,1),6651(a,1,1,2))]. 6656 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6403,a,6653,a),flip(a)]. 6657 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(6653(a,1),6403(a,1))]. 6658 K(L(x,y,z),y * x) = K(x,x * y). [hyper(285,a,6626,a(flip),b,6656,a),flip(a)]. 6659 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6403,a,6654,a),flip(a)]. 6660 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4072,a,6654,a)]. 6661 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(105(a,1),6654(a,2,1))]. 6662 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(268(a,1),6654(a,2,1))]. 6663 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(453(a,1),6654(a,2,1))]. 6664 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(458(a,1),6654(a,2,1))]. 6665 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(453(a,1),6659(a,1,1)),flip(a)]. 6666 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6158(a,1),6659(a,1,1))]. 6667 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6660(a,1),5314(a,1,1))]. 6669 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6648(a,1),6649(a,1,1))]. 6670 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6652(a,1,2))]. 6671 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(66,a,6669,a(flip),b,6663,a)]. 6672 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [hyper(124,a,6663,a(flip),b,23,a(flip))]. 6673 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(19(a,2),6663(a,2,1))]. 6674 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6663(a,1),6403(a,1))]. 6675 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(285,a,626,a(flip),b,6479,a)]. 6677 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(66,a,6285,a,b,6550,a)]. 6678 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(285,a,6640,a(flip),b,6643,a),flip(a)]. 6679 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(66,a,4691,a(flip),b,6662,a),flip(a)]. 6681 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(66,a,5368,a,b,6679,a)]. 6682 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3351(a,1),6330(a,2,2))]. 6683 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(37,a,5130,a(flip),b,6355,a)]. 6684 K(K(x \ 1,x) * y,z) = K(y,z). [para(1906(a,1),6683(a,1,1,1))]. 6687 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2830(a,1),6683(a,1,1))]. 6688 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2860(a,1),6683(a,1,1))]. 6689 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2888(a,1),6683(a,1,1))]. 6690 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2897(a,1),6683(a,1,1)),flip(a)]. 6691 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2909(a,1),6683(a,1,1)),flip(a)]. 6692 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2947(a,1),6683(a,1,1))]. 6694 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2975(a,1),6683(a,1,1)),flip(a)]. 6695 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3684(a,1),6683(a,1,1))]. 6696 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3897(a,1),6683(a,1,1))]. 6697 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4851(a,1),6683(a,1,1))]. 6698 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4867(a,2),6683(a,1,1))]. 6699 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4878(a,1),6683(a,1,1))]. 6702 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3710(a,1),6684(a,1,1))]. 6703 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4883(a,2),6684(a,1,1))]. 6704 K((x \ K(y \ 1,y)) * z,u) = K((x \ 1) * z,u). [para(4875(a,1),6684(a,1,1))]. 6705 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4884(a,1),6684(a,1,1))]. 6706 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4893(a,1),6684(a,1,1))]. 6707 K((((x \ 1) \ 1) * y) \ z,u) = K((x * y) \ z,u). [para(4894(a,1),6684(a,1,1))]. 6708 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(5020(a,2),6684(a,1,1))]. 6709 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(15(a,1),6687(a,2,1))]. 6710 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(3422(a,2),6687(a,1,1,2))]. 6711 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3581(a,1),6687(a,1,1,2)),flip(a)]. 6712 K(x * (y \ 1),x) = K(y \ x,x). [hyper(66,a,6572,a(flip),b,6691,a)]. 6714 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3585(a,2),6691(a,1,1,1))]. 6715 K((1 / x) \ y,y) = K(y * x,y). [para(90(a,1),6712(a,1,1,2)),flip(a)]. 6716 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5413(a,1),6712(a,1,1,2)),flip(a)]. 6717 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(6712(a,1),5807(a,1,1,1,2))]. 6718 K((1 / x) \ y,y) = K(x * y,y). [hyper(285,a,5785,a,b,6715,a),flip(a)]. 6719 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(66,a,625,a(flip),b,6718,a),flip(a)]. 6720 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(66,a,6468,a,b,6696,a)]. 6721 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [hyper(124,a,6697,a(flip),b,97,a)]. 6722 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (x \ 1),y)) * x. [para(6697(a,1),4958(a,2,1,2))]. 6723 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6697(a,1),6567(a,2,2))]. 6724 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2830(a,1),6698(a,1,1,2))]. 6725 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2947(a,1),6698(a,1,1,2))]. 6727 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3754(a,1),6698(a,1,1,2))]. 6728 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5294(a,1),6698(a,1,1,2)),flip(a)]. 6729 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,6661,a,b,6728,a)]. 6730 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4880(a,1),6703(a,1,1,1))]. 6731 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4995(a,1),6703(a,1,1,1))]. 6732 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(2947(a,1),6708(a,1,1,2))]. 6733 K((x \ K(y \ z,z \ y)) * u,w) = K((x \ 1) * u,w). [para(2618(a,1),6704(a,1,1,1,2))]. 6734 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,5966,a,b,6705,a)]. 6735 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2951(a,1),6705(a,1,1,1)),flip(a)]. 6737 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(15(a,1),6724(a,2,1,2))]. 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2520(a,2),6411(a,1,2))]. 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(66,a,6561,a(flip),b,6412,a),flip(a)]. 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(15(a,1),6739(a,1,2,1)),flip(a)]. 6741 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5251(a,1),6577(a,1,1,1)),flip(a)]. 6742 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6741(a,1),52(a,1)),flip(a)]. 6743 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(14(a,1),6599(a,1,2,2))]. 6744 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(285,a,6641,a(flip),b,6719,a),flip(a)]. 6745 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5786,a,6744,a)]. 6746 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(285,a,6640,a(flip),b,6745,a),flip(a)]. 6747 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3642(a,1),6730(a,1,1,1,2))]. 6748 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4282(a,1),6730(a,1,1,1)),flip(a)]. 6749 K(((x \ 1) * (y \ x)) \ 1,z) = (1 / x) * (K(y,z) * x). [para(5523(a,1),6734(a,1,2)),flip(a)]. 6750 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(285,a,6653,a(flip),b,6362,a),flip(a)]. 6751 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(285,a,6374,a,b,6750,a)]. 6752 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(873,a,6582,a),flip(a)]. 6753 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(90(a,1),6606(a,1,2,2)),flip(a)]. 6754 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5799(a,1),6445(a,1,1)),flip(a)]. 6755 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(285,a,6419,a,b,6623,a),flip(a)]. 6756 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6644(a,1),46(a,1)),flip(a)]. 6757 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(78(a,1),6644(a,1,2,2)),flip(a)]. 6759 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(37,a,6757,a(flip),b,6672,a),flip(a)]. 6760 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6672(a,1),46(a,1)),flip(a)]. 6761 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(15(a,1),6759(a,1,1,2)),flip(a)]. 6762 (1 / x) \ ((y \ (x \ 1)) * y) = ((y \ (x \ 1)) * y) * x. [para(5678(a,1),6722(a,2,1))]. 6763 K(x \ 1,x) * K(y \ (x \ 1),y) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,2980,a,b,6762,a)]. 6764 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(78(a,1),6743(a,2,2))]. 6765 ((x \ 1) * y) * K(x,x \ y) = y / R(x,x \ 1,y). [para(87(a,1),6615(a,1,2,1)),flip(a)]. 6767 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4656(a,1),5093(a,2,2))]. 6768 K(x \ 1,x) * K(y \ (x \ 1),y) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),5107(a,1,2))]. 6769 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(5189(a,2),1970(a,1,2))]. 6770 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(66,a,1342,a(flip),b,5600,a),flip(a)]. 6771 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1224(a,2),6770(a,2,2))]. 6772 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5342(a,1),5683(a,2,2))]. 6773 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5359(a,1),6772(a,1,2))]. 6774 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6773(a,1),221(a,1,2,1))]. 6775 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6234(a,1),5828(a,2,1,1))]. 6776 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(4181(a,1),5867(a,1,2,2)),flip(a)]. 6777 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(285,a,5595,a(flip),b,6776,a),flip(a)]. 6778 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4912(a,1),6777(a,1,2)),flip(a)]. 6779 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5950(a,1),5988(a,1,1))]. 6780 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(66,a,5887,a(flip),b,6021,a),flip(a)]. 6781 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(66,a,6468,a(flip),b,6780,a)]. 6782 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(32(a,2),6781(a,1,2))]. 6783 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5698(a,1),6111(a,1,1))]. 6786 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6783(a,2,2))]. 6787 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6786(a,1,1,2))]. 6788 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5031(a,1),6117(a,1,2,2))]. 6790 (1 / x) \ T(T(x \ 1,y),z) != u | T(T(x \ 1,y),z) * x = u. [para(6124(a,1),688(a,1))]. 6791 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6014(a,1),6147(a,1,1)),flip(a)]. 6792 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2963(a,1),6791(a,1,1)),flip(a)]. 6793 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2963(a,1),6792(a,1,1)),flip(a)]. 6794 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(285,a,4596,a(flip),b,6173,a),flip(a)]. 6795 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(6554,a,6794,a)]. 6796 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(6795(a,2),5320(a,1,1)),flip(a)]. 6797 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(285,a,5320,a(flip),b,6796,a)]. 6798 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6174,a,6180,a)]. 6799 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(268(a,1),6798(a,1,1,1))]. 6800 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6798(a,1),2446(a,1,1))]. 6801 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6798(a,1),2686(a,1,1))]. 6802 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6798(a,2),5321(a,1,1))]. 6803 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5364,a,6802,a)]. 6804 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(122,a,6803,a(flip),b,1903,a(flip))]. 6805 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(341(a,1),6804(a,1,2,1))]. 6806 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(122,a,6805,a(flip),b,1921,a(flip)),flip(a)]. 6807 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(709,a,6235,a)]. 6808 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(116(a,1),6807(a,2,2))]. 6809 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6807(a,1),6083(a,1,1,1)),flip(a)]. 6810 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(285,a,6081,a(flip),b,6809,a),flip(a)]. 6811 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6810(a,1),649(a,1,2,1)),flip(a)]. 6812 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(262,a,6283,a),flip(a)]. 6813 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4409(a,1),6812(a,2,1))]. 6814 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(23(a,2),6673(a,1,1,1,1))]. 6815 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(701,a,6755,a)]. 6816 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(66,a,6143,a(flip),b,6815,a)]. 6817 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4952(a,1),6816(a,1,2))]. 6818 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(285,a,5708,a(flip),b,6817,a),flip(a)]. 6819 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(66,a,6018,a(flip),b,6818,a)]. 6820 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4953(a,1),6818(a,1,2))]. 6821 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(571(a,1),6820(a,1,2,2))]. 6822 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(15(a,1),6761(a,1,2)),flip(a)]. 6823 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1839(a,2),6822(a,1,2))]. 6824 (x \ 1) / (y * ((1 / x) / y)) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,6763,a(flip),b,6768,a),flip(a)]. 6825 (x * (((y \ z) * y) * (1 / z))) * a(x,K((1 / z) \ K(y \ z,y),1 / z),K(y \ z,y)) = (x * K((1 / z) \ K(y \ z,y),1 / z)) * K(y \ z,y). [para(5083(a,1),5113(a,1,1,2,1))]. 6826 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(66,a,5379,a,b,5395,a)]. 6827 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5395(a,1),713(a,2,1)),flip(a)]. 6828 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5395(a,1),880(a,1,1,1))]. 6829 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5725,a,6827,a)]. 6830 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1886(a,1),6827(a,1,1,2,1,2))]. 6831 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5595(a,1),6827(a,1,1))]. 6832 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6826(a,1),1620(a,1,1,2)),flip(a)]. 6833 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5397(a,1),880(a,1,1,1))]. 6834 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(838(a,1),5507(a,1,2))]. 6835 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(783(a,2),5611(a,1,2,2,1))]. 6836 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5795(a,1),5796(a,1,1,1))]. 6837 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(285,a,6057,a(flip),b,6064,a),flip(a)]. 6838 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1408(a,1),6201(a,1,2))]. 6839 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(285,a,5816,a(flip),b,6472,a),flip(a)]. 6840 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(66,a,6677,a(flip),b,6839,a),flip(a)]. 6841 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(66,a,6468,a(flip),b,6840,a),flip(a)]. 6842 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6423,a,6841,a),flip(a)]. 6843 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(27(a,2),6842(a,2,2))]. 6844 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(17(a,1),6843(a,1,1,1)),flip(a)]. 6845 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(66,a,5807,a(flip),b,6717,a),flip(a)]. 6846 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(34(a,1),6845(a,1,1))]. 6847 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(6181(a,1),6845(a,1,1)),flip(a)]. 6848 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6751(a,1,1,1))]. 6849 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3820(a,1),6753(a,2,2))]. 6850 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(66,a,3824,a(flip),b,6849,a),flip(a)]. 6851 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3029(a,1),6850(a,1,2,2)),flip(a)]. 6852 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3029(a,1),6851(a,1,1,1)),flip(a)]. 6853 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(180,a,6852,a)]. 6854 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(118(a,1),6853(a,1,1,1,1))]. 6855 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(118(a,1),6854(a,2,2))]. 6856 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(285,a,116,a(flip),b,6800,a),flip(a)]. 6859 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2610(a,2),6801(a,2,2))]. 6860 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1814(a,1),6835(a,1,2))]. 6862 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6838(a,1),479(a,1))]. 6863 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(66,a,6856,a(flip),b,6859,a),flip(a)]. 6864 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(180,a,6863,a)]. 6865 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5054(a,1,1,2))]. 6866 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(37,a,5795,a,b,6865,a(flip))]. 6868 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(453(a,1),6866(a,1,2)),flip(a)]. 6869 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(19(a,2),6868(a,2,2))]. 6870 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(1972,a,5188,a)]. 6871 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6423,a,6870,a)]. 6873 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3914,a,b,6871,a)]. 6874 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3730,a,b,6873,a)]. 6875 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3239,a(flip),b,6874,a)]. 6876 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,6871,a,b,6875,a),flip(a)]. 6877 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5136(a,2),5231(a,2,2,1,1))]. 6878 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(122,a,5236,a(flip),b,5157,a),flip(a)]. 6879 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(4596(a,1),5736(a,1,2,2))]. 6880 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(5981(a,1),5985(a,1,1,2)),flip(a)]. 6881 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5319(a,1),6880(a,1,2,1)),flip(a)]. 6882 K(x \ y,y \ x) * K(x \ y,z) = T((y \ x) \ 1,z) * (y \ x). [para(6468(a,1),6001(a,1,2))]. 6883 T((x \ y) \ 1,z) * (x \ y) = T(y \ x,z) * (1 / (y \ x)). [hyper(66,a,5813,a(flip),b,6882,a),flip(a)]. 6884 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(285,a,1965,a(flip),b,6070,a),flip(a)]. 6886 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(116(a,1),6116(a,1,2,2,2))]. 6887 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(6123(a,2),6886(a,2,2,2,2))]. 6888 (x \ K(y \ 1,z)) * ((x \ 1) \ 1) = K(((x \ y) * x) \ 1,z). [hyper(66,a,6706,a(flip),b,6144,a),flip(a)]. 6889 K(((x \ y) * x) \ 1,y) = K(y \ 1,y). [hyper(4984,a,6888,a),flip(a)]. 6890 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(13(a,1),6155(a,2,1,2,2))]. 6891 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(66,a,5822,a(flip),b,6168,a)]. 6893 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(90(a,1),6245(a,1,1,1,1,2)),flip(a)]. 6894 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6468(a,1),6893(a,1,2))]. 6895 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(6697(a,1),6894(a,1,2))]. 6896 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(37,a,4692,a,b,6895,a)]. 6897 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(6896(a,1),5977(a,1,1))]. 6898 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6322(a,1),6367(a,1,2)),flip(a)]. 6899 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(285,a,25,a,b,6898,a),flip(a)]. 6900 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6898(a,2),479(a,1))]. 6901 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(66,a,36,a,b,6899,a)]. 6902 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(14(a,1),6569(a,1,1,2,1)),flip(a)]. 6903 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6731(a,1),6723(a,2,2))]. 6904 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(66,a,6886,a(flip),b,6788,a),flip(a)]. 6905 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(242(a,1),6788(a,1,2))]. 6906 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5822(a,1),6891(a,2,1))]. 6907 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(285,a,6895,a(flip),b,6903,a),flip(a)]. 6908 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(224,a,6906,a(flip),b,6175,a(flip)),flip(a)]. 6910 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(27(a,2),6908(a,1,2,1,1,2)),flip(a)]. 6911 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(285,a,5497,a,b,6910,a),flip(a)]. 6912 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6468(a,1),6911(a,1,1,2)),flip(a)]. 6913 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(66,a,4946,a(flip),b,4968,a),flip(a)]. 6914 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3757(a,2),4975(a,1,1))]. 6915 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5245(a,1),5250(a,1,2))]. 6916 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5925(a,1),6915(a,2,3))]. 6917 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4250(a,1),6916(a,1,2))]. 6918 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(285,a,5258,a(flip),b,6028,a),flip(a)]. 6920 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(285,a,5708,a(flip),b,6109,a),flip(a)]. 6921 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(66,a,6095,a(flip),b,6920,a)]. 6922 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6424(a,1),6921(a,1,1))]. 6923 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(32(a,2),6540(a,1,2))]. 6924 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(14(a,1),6828(a,2,1,1))]. 6925 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(14(a,1),6833(a,2,1,1))]. 6926 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5063(a,2),6913(a,1,2))]. 6927 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(262,a,6914,a),flip(a)]. 6928 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6681(a,1),6927(a,2,1))]. 6929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6928(a,1),6018(a,1,2)),flip(a)]. 6930 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(285,a,5448,a(flip),b,6929,a),flip(a)]. 6932 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(66,a,6819,a(flip),b,6930,a)]. 6933 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(66,a,6429,a(flip),b,6930,a)]. 6934 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(6933(a,1),6090(a,1,1))]. 6935 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(112(a,1),6932(a,1,2,2,2))]. 6936 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(285,a,3729,a(flip),b,6923,a),flip(a)]. 6938 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6936(a,1),3390(a,1,1))]. 6939 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(265,a,6926,a),flip(a)]. 6940 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5439(a,1),5108(a,1,1,2,1))]. 6941 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(135,a,6940,a)]. 6942 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [hyper(185,a,6941,a(flip))]. 6943 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5360(a,1),5465(a,2,2))]. 6944 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(285,a,14,a(flip),b,6943,a),flip(a)]. 6947 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(6944(a,1),53(a,1)),flip(a)]. 6948 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(222(a,1),5626(a,1,2)),flip(a)]. 6949 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5320(a,1),6948(a,1,1,2,1))]. 6950 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(223(a,1),5627(a,1,2)),flip(a)]. 6951 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5320(a,1),6950(a,1,1,2,1))]. 6952 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(14(a,1),6020(a,1,1,2,1)),flip(a)]. 6953 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6468(a,1),6952(a,1,2,1,2))]. 6954 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(4598(a,1),6052(a,1,1,2))]. 6955 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(6511(a,1),6193(a,2,1))]. 6956 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5150(a,1),6955(a,1,1,1))]. 6957 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(180,a,6956,a)]. 6958 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6957(a,1,1,2))]. 6959 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(32(a,2),6782(a,2,2))]. 6960 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(66,a,989,a(flip),b,6878,a)]. 6962 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3022(a,1),6954(a,1,1))]. 6963 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(6711(a,1),6962(a,1,1,1))]. 6964 (((x \ 1) * y) \ y) * T(L(y,x \ 1,x) / x,x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(118(a,2),6031(a,1,2))]. 6965 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3138(a,1),6119(a,1,2,1,1))]. 6966 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3341(a,1),6965(a,1,2))]. 6967 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(66,a,5714,a(flip),b,6473,a),flip(a)]. 6969 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1417(a,1),6967(a,1,1))]. 6970 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(66,a,5827,a(flip),b,6969,a)]. 6971 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6729(a,1),6613(a,1,1))]. 6972 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1673(a,2),6834(a,1,2))]. 6973 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(265,a,6972,a)]. 6974 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5994(a,1),6973(a,1,2)),flip(a)]. 6975 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5144(a,1),6974(a,2,2))]. 6976 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(90(a,1),6975(a,1,1,2,1))]. 6977 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(90(a,1),6976(a,2,2,1,2))]. 6978 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(122,a,802,a(flip),b,6977,a(flip))]. 6979 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(122,a,6977,a(flip),b,6787,a(flip))]. 6982 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(117(a,1),6978(a,2,1))]. 6983 L(K(x,y),y \ 1,z) = K(x,y). [hyper(66,a,5490,a(flip),b,6979,a)]. 6984 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(6979(a,1),134(a,1,2)),flip(b)]. 6986 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,5977,a(flip),b,6983,a)]. 6988 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6982(a,1),4922(a,1,1)),flip(a)]. 6989 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(66,a,4313,a(flip),b,6988,a)]. 6990 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(90(a,1),6989(a,2,1,1,1))]. 6991 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(66,a,4316,a(flip),b,6990,a)]. 6992 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * ((y * x) / x)). [para(16(a,1),6991(a,1,1,1)),flip(a)]. 6993 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * y). [para(16(a,1),6992(a,2,2,2))]. 6994 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(118(a,1),4825(a,1,2))]. 6996 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(66,a,4994,a(flip),b,6994,a)]. 6997 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(87(a,1),6996(a,1,1,1)),flip(a)]. 6999 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(66,a,3936,a(flip),b,6997,a)]. 7000 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(183(a,1),6999(a,1,1)),flip(a)]. 7001 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(117(a,2),7000(a,1,1))]. 7002 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4996(a,1),4993(a,2,2))]. 7003 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(66,a,5498,a,b,5057,a)]. 7004 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6747(a,1),7003(a,1,2))]. 7005 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6273(a,1),7004(a,2,1))]. 7006 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5125(a,2),7005(a,2,1,1))]. 7007 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(124,a,2701,a(flip),b,7006,a),flip(a)]. 7008 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(117(a,1),7007(a,2,2,2))]. 7009 (x / y) * T(T((x / y) \ 1,z),u) = (x * T(T(x \ y,z),u)) / y. [para(5829(a,1),5512(a,1,1,2,1)),flip(a)]. 7010 (x * y) * T((y * T(x,y)) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),5748(a,1,1))]. 7011 (x * y) * T((x * y) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),7010(a,1,2,1,1))]. 7012 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(112(a,1),5919(a,1,1)),flip(a)]. 7013 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(4477,a,7012,a),flip(a)]. 7014 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(5579,a,7013,a)]. 7016 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,6922,a(flip),b,7014,a)]. 7017 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,7014,a),flip(a)]. 7018 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(15(a,1),7014(a,1,2)),flip(a)]. 7019 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5157(a,1),7014(a,1,2))]. 7020 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5529(a,1),7014(a,1,2)),flip(a)]. 7021 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(66,a,3613,a,b,7017,a)]. 7022 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(122,a,7017,a(flip),b,3613,a)]. 7023 K(R(x,x \ 1,y),z) = K(x,z). [hyper(285,a,352,a(flip),b,7018,a),flip(a)]. 7024 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(110(a,1),7018(a,1,1))]. 7026 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(37,a,3692,a,b,7021,a)]. 7027 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(7022(a,1),5216(a,1,2)),flip(a)]. 7028 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(128,a,7026,a)]. 7030 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(66,a,5013,a(flip),b,7028,a)]. 7031 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(90(a,1),7024(a,1,1,2,1)),flip(a)]. 7032 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(17(a,1),7031(a,2,1,1))]. 7033 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(17(a,1),7031(a,2,1,2))]. 7034 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(3900,a,7027,a)]. 7035 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6477(a,1),7032(a,1,1))]. 7036 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6093(a,2),7034(a,1,2))]. 7037 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4231(a,2),7016(a,1,2,1,1))]. 7038 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4344,a,7036,a)]. 7039 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(136,a,7038,a)]. 7040 x / R(x,y,z) = R(x,y,z) \ x. [hyper(66,a,1616,a(flip),b,7039,a)]. 7041 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(136,a,7040,a)]. 7042 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(7040(a,1),6098(a,1,1,2))]. 7043 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(4704(a,1),7041(a,1,1,1))]. 7044 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(7041(a,1),4926(a,1,1,1))]. 7045 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5287,a,7044,a)]. 7046 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(4704(a,1),7043(a,1,2))]. 7047 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(322,a,7046,a)]. 7048 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(66,a,4854,a(flip),b,7047,a)]. 7049 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [hyper(124,a,7048,a(flip),b,117,a(flip))]. 7050 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5191(a,1),5926(a,1,1))]. 7051 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1563,a,7050,a)]. 7052 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5245(a,1),7051(a,2,1))]. 7053 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4250(a,1),7052(a,2,1))]. 7054 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = (K(w,v5) / v5) / (K(x \ (z * y),(z * y) \ x) / T(v5,w)). [para(6876(a,1),6131(a,2,2,1))]. 7055 (T(K(x \ 1,y),z) * (x \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(90(a,1),6222(a,1,1,2,1))]. 7056 ((x \ 1) * T(K(x \ 1,y),z)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(3349(a,1),7055(a,1,1))]. 7057 T(K(x \ 1,y),z) * K(x \ 1,x) = (x \ T(K(x \ 1,y),z)) * x. [para(6384(a,1),7056(a,1,1)),flip(a)]. 7058 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ T(K(x \ 1,z),y)) * x. [para(6080(a,2),7057(a,1,1))]. 7059 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ K(T(x,y) \ 1,z)) * x. [para(6080(a,2),7058(a,2,1,2))]. 7060 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(285,a,4932,a,b,6351,a)]. 7061 ((x * y) * T(T((x * y) \ x,y),z)) / x = T(y \ K(y,x),z) * ((x * y) / x). [hyper(66,a,7009,a(flip),b,6536,a)]. 7062 (x * (y * T(T(y \ 1,y),z))) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(831(a,1),7061(a,1,1))]. 7063 T(x \ K(x,y),z) * ((y * x) / y) = (y * (T(x \ 1,z) * x)) / y. [para(221(a,1),7062(a,1,1,2)),flip(a)]. 7064 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3839(a,1),7060(a,1,1)),flip(a)]. 7065 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7064(a,1),6372(a,1,1)),flip(a)]. 7066 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(7064(a,1),6373(a,1,2)),flip(a)]. 7067 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3657(a,1),5009(a,1,2))]. 7068 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4869(a,1),5010(a,1,2)),flip(a)]. 7069 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(285,a,23,a,b,7068,a),flip(a)]. 7072 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1388(a,1),7069(a,1,2)),flip(a)]. 7074 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(66,a,6983,a(flip),b,7072,a),flip(a)]. 7077 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [hyper(124,a,7074,a(flip),b,23,a(flip))]. 7078 R(x,y,K(z,y \ 1)) = x. [hyper(475,a,7077,a)]. 7080 R(x,y \ 1,K(z,y)) = x. [para(4596(a,1),7078(a,1,3))]. 7081 R(x,y \ z,K(u,z \ y)) = x. [para(6392(a,1),7078(a,1,3))]. 7082 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(66,a,5209,a(flip),b,7080,a)]. 7083 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7081(a,1),462(a,1,1))]. 7084 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5128(a,1),7082(a,1,2))]. 7085 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(180,a,7084,a)]. 7087 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7083(a,1),6890(a,1,2))]. 7088 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(66,a,6612,a(flip),b,7087,a),flip(a)]. 7090 T(x,(y \ z) * (z \ y)) = x. [hyper(57,a,7088,a)]. 7093 T(x,y * ((z * y) \ z)) = x. [para(14(a,1),7090(a,1,2,1))]. 7096 K(x,y * ((z * y) \ z)) = 1. [hyper(58,a,7093,a)]. 7098 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(774,a,5398,a),flip(a)]. 7099 T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). [hyper(5890,a,7098,a)]. 7100 ((x * y) * z) \ (R(y,x,z) * (x * z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(223(a,1),5815(a,1,2))]. 7101 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(112(a,1),7100(a,1,2)),flip(a)]. 7102 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(66,a,5704,a(flip),b,5974,a),flip(a)]. 7104 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(285,a,5830,a(flip),b,7102,a),flip(a)]. 7105 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,5704,a(flip),b,7104,a)]. 7107 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(66,a,5830,a(flip),b,7105,a)]. 7108 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6836(a,1),6077(a,1,1))]. 7109 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(285,a,5718,a(flip),b,7108,a),flip(a)]. 7110 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(35(a,1),7109(a,1,1,2))]. 7111 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1354(a,1),6118(a,1,2))]. 7112 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(14(a,1),7111(a,1,2,1,2,1))]. 7113 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6779(a,1),6609(a,1,1))]. 7114 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(66,a,5602,a(flip),b,6905,a),flip(a)]. 7116 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(66,a,6904,a(flip),b,7114,a)]. 7117 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(242(a,1),7116(a,1,2,2))]. 7118 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,x \ y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(5623(a,2),6964(a,1,2,1))]. 7119 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(66,a,4842,a(flip),b,7067,a)]. 7120 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3749(a,1),7119(a,1,2))]. 7121 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5664,a,7120,a),flip(a)]. 7123 R(x,1 / y,z) = R(x,y \ 1,z). [para(1103(a,1),7121(a,1,2)),flip(a)]. 7127 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7123(a,1),3589(a,1,2))]. 7128 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2954(a,1),7127(a,1,2,1))]. 7129 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4039(a,1),7128(a,1,2,1)),flip(a)]. 7130 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4711(a,1),7129(a,1,1)),flip(a)]. 7131 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(180,a,7130,a)]. 7132 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(66,a,3425,a(flip),b,7131,a)]. 7133 T(x,y * (((z * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(90(a,1),4997(a,1,2,2,1,1,1))]. 7135 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3735(a,1),7133(a,1,2,2,1)),flip(a)]. 7136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(66,a,7002,a,b,7135,a)]. 7137 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3646(a,1),7136(a,1,2))]. 7138 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(66,a,4809,a(flip),b,7137,a),flip(a)]. 7140 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(122,a,7138,a(flip),b,5130,a(flip)),flip(a)]. 7141 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(285,a,5125,a,b,7140,a),flip(a)]. 7142 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1905(a,1),7141(a,1,2,2,1))]. 7143 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(15(a,1),7142(a,2,2))]. 7144 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(87(a,1),7142(a,1,2,2,1)),flip(a)]. 7145 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(90(a,1),7142(a,1,2,2)),flip(a)]. 7146 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2770(a,2),7142(a,1,2,2))]. 7147 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(14(a,1),7143(a,1,2,2)),flip(a)]. 7148 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2960(a,1),7143(a,1,2,2))]. 7149 K(x,K(y \ 1,y) * z) = K(x,z). [para(2991(a,1),7143(a,1,2))]. 7150 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2649(a,1),7149(a,1,2)),flip(a)]. 7153 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2915(a,1),7149(a,1,2))]. 7154 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2976(a,1),7149(a,1,2))]. 7155 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(3130(a,1),7149(a,1,2))]. 7156 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3656(a,2),7149(a,1,2))]. 7157 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3892(a,1),7149(a,1,2)),flip(a)]. 7158 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4852(a,1),7149(a,1,2)),flip(a)]. 7159 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4883(a,2),7149(a,1,2))]. 7160 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4884(a,1),7149(a,1,2))]. 7161 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4886(a,1),7149(a,1,2))]. 7163 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4895(a,1),7149(a,1,2))]. 7164 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(5020(a,2),7149(a,1,2))]. 7165 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5021(a,2),7149(a,1,2))]. 7167 K(x,(1 / x) * y) * y = x * (y / x). [para(7147(a,2),5571(a,1,1))]. 7169 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2933(a,2),7153(a,1,2,1))]. 7170 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(66,a,6208,a(flip),b,7154,a),flip(a)]. 7171 x * K(x \ (1 / y),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(7154(a,1),3621(a,1,2))]. 7172 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7157(a,1),6934(a,1,1)),flip(a)]. 7173 (1 / x) * K(y,y \ (x \ 1)) = y * ((1 / x) / y). [hyper(124,a,7158,a(flip),b,5434,a)]. 7174 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [hyper(124,a,7158,a(flip),b,5408,a)]. 7175 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5729(a,1),7167(a,1,1))]. 7176 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2649(a,1),7156(a,1,2,1)),flip(a)]. 7178 K(x,(T(y \ 1,y) * z) / u) = K(x,((y \ 1) * z) / u). [para(3743(a,1),7156(a,1,2,1))]. 7179 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1906(a,1),7159(a,1,2,1,1))]. 7180 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2860(a,1),7159(a,1,2,1))]. 7181 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(2975(a,1),7159(a,1,2,1)),flip(a)]. 7182 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3637(a,1),7159(a,1,2)),flip(a)]. 7183 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1906(a,1),7164(a,1,2,2,1))]. 7184 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2888(a,1),7164(a,1,2,2))]. 7185 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(2947(a,1),7164(a,1,2,2))]. 7186 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4879(a,1),7164(a,1,2,2)),flip(a)]. 7187 K(x,y / (T(z \ 1,z) * u)) = K(x,y / ((z \ 1) * u)). [para(5158(a,1),7164(a,1,2,2)),flip(a)]. 7188 K(x,y / (z * (1 / (1 / (z \ u))))) = K(x,y / u). [para(2617(a,1),7165(a,1,2,2))]. 7189 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(66,a,4666,a(flip),b,7170,a)]. 7190 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(66,a,4665,a(flip),b,7170,a),flip(a)]. 7191 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(124,a,7170,a(flip),b,5434,a),flip(a)]. 7192 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(7190(a,1),5500(a,2,2))]. 7193 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7190(a,1),6211(a,1,2))]. 7194 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4894(a,1),7179(a,1,2,1))]. 7195 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5036(a,2),7179(a,1,2,1))]. 7196 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(2835(a,1),7182(a,1,2,2))]. 7197 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2888(a,1),7182(a,1,2,2))]. 7198 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2947(a,1),7182(a,1,2,2))]. 7199 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3710(a,1),7183(a,1,2,2))]. 7200 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3711(a,1),7183(a,1,2,2))]. 7201 K(x,y / ((((z \ 1) \ 1) * u) \ w)) = K(x,y / ((z * u) \ w)). [para(4894(a,1),7183(a,1,2,2))]. 7202 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(5962(a,1),7183(a,1,2,2))]. 7203 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(66,a,6611,a,b,7160,a)]. 7204 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(7161(a,1),5619(a,1,2,2))]. 7206 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(87(a,1),7176(a,1,2,1,2)),flip(a)]. 7207 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(66,a,2922,a(flip),b,7191,a),flip(a)]. 7208 ((1 / ((1 / x) * (x / y))) \ y) * K(((1 / x) * (x / y)) \ 1,a(1 / x,x / y,y)) = y / (1 / ((1 / x) * (x / y))). [para(865(a,1),7193(a,1,2,2))]. 7209 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(6497,a,7207,a)]. 7210 x * K(y,x * (y \ 1)) = y * (x / y). [para(3341(a,1),7207(a,1,2))]. 7211 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(37,a,5435,a,b,7210,a),flip(a)]. 7212 T(x,y * (x \ 1)) = T(x,y / x). [hyper(224,a,7210,a(flip),b,6321,a),flip(a)]. 7214 K(x,y * (1 / x)) = K(x,x \ y). [hyper(66,a,7150,a,b,7211,a)]. 7215 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(285,a,4123,a(flip),b,7212,a),flip(a)]. 7216 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(7214(a,1),5344(a,1,2)),flip(a)]. 7217 K(x * (1 / y),y) = K(y \ x,y). [hyper(285,a,5344,a(flip),b,7216,a),flip(a)]. 7218 K(x * (y \ 1),y) = K(y \ x,y). [hyper(66,a,6688,a(flip),b,7217,a)]. 7219 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(87(a,1),7217(a,1,1,2)),flip(a)]. 7220 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(66,a,5328,a(flip),b,7218,a)]. 7221 K(x \ (y / (x \ 1)),x) = K(y,x). [para(17(a,1),7218(a,1,1)),flip(a)]. 7222 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(7221(a,1),5390(a,2,2))]. 7223 K(R(x,y,y \ 1),y) = K(x,y). [hyper(285,a,625,a(flip),b,7220,a),flip(a)]. 7224 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5297,a,7223,a),flip(a)]. 7226 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(7223(a,1),6520(a,1,1))]. 7227 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5138,a,7224,a),flip(a)]. 7228 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(285,a,3789,a,b,7224,a),flip(a)]. 7229 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(122,a,7227,a,b,5130,a(flip)),flip(a)]. 7230 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(285,a,5125,a,b,7229,a)]. 7231 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(285,a,3769,a,b,7229,a),flip(a)]. 7232 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(7230(a,1),5426(a,1,1))]. 7233 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(285,a,6408,a(flip),b,7219,a),flip(a)]. 7234 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(66,a,4660,a(flip),b,7219,a),flip(a)]. 7235 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [hyper(124,a,7219,a(flip),b,97,a),flip(a)]. 7236 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(7234(a,1),5252(a,1,1,2))]. 7237 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(7236(a,1),5597(a,1,1)),flip(a)]. 7238 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(7231(a,2),4369(a,2,1,1))]. 7239 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5464,a,7232,a)]. 7240 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(7209(a,1),6433(a,1,1)),flip(a)]. 7241 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5771,a,7235,a)]. 7242 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(15(a,1),7235(a,2,2,1))]. 7243 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(225,a,7237,a),flip(a)]. 7244 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(7243(a,1),1830(a,1,2,1,1))]. 7245 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(7243(a,2),1830(a,1,1))]. 7246 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(16(a,1),7175(a,2,2))]. 7247 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5313,a,7246,a),flip(a)]. 7248 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(66,a,7023,a,b,7247,a)]. 7249 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2961(a,1),7247(a,1,2))]. 7250 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2984(a,1),7249(a,1,2,1)),flip(a)]. 7251 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(66,a,5982,a(flip),b,7226,a),flip(a)]. 7252 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1246(a,1),7251(a,1,2,1))]. 7253 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(180,a,7252,a),flip(a)]. 7254 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(337,a,7253,a)]. 7255 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(7222(a,1),1334(a,2,1,2))]. 7256 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(4596(a,1),7240(a,1,2))]. 7257 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(7218(a,1),7256(a,1,2)),flip(a)]. 7258 x * ((y * (x / y)) \ 1) = K(y \ x,y). [hyper(124,a,7257,a,b,xx)]. 7260 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(66,a,4738,a(flip),b,7254,a)]. 7261 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(285,a,5055,a(flip),b,7260,a),flip(a)]. 7262 x * K(x \ (y \ 1),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(6697(a,1),7171(a,1,2))]. 7263 K(x,y / (z * ((u \ 1) * x))) = K(x,y / (z * (x / u))). [hyper(66,a,6904,a(flip),b,7186,a)]. 7264 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2948(a,1),7195(a,1,2,1,1)),flip(a)]. 7265 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(87(a,1),7199(a,1,2,2,1,2)),flip(a)]. 7266 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6392(a,1),7242(a,2,2))]. 7267 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(285,a,5435,a(flip),b,7266,a),flip(a)]. 7269 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(66,a,6216,a,b,7267,a)]. 7270 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(136,a,7269,a)]. 7271 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(597(a,1),7269(a,1,1))]. 7272 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(285,a,4741,a(flip),b,7271,a),flip(a)]. 7273 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(388,a,7272,a)]. 7274 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(14(a,1),7273(a,1,3)),flip(a)]. 7275 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(66,a,3776,a(flip),b,7274,a)]. 7276 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(4197(a,1),7274(a,1,2))]. 7277 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7275(a,1),1591(a,1,1,2))]. 7278 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1831,a,7277,a)]. 7279 (x * y) \ T(x,y) = (y * x) \ x. [hyper(66,a,4525,a(flip),b,7278,a)]. 7280 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(316,a,7279,a),flip(a)]. 7281 (x * y) * T(R(1 / y,y,x),x * y) = T(x,y). [hyper(124,a,6214,a,b,7279,a)]. 7282 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(246(a,1),7279(a,1,1))]. 7283 x * (T(y,x) * T(y \ (x \ y),z)) = (y * x) * T((x * y) \ y,z). [para(7279(a,1),7011(a,1,2,1)),flip(a)]. 7284 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(263,a,7281,a),flip(a)]. 7285 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(123,a,7281,a(flip),b,116,a(flip))]. 7286 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(122,a,7281,a(flip),b,116,a(flip))]. 7287 T(x,y) = (x / (y * x)) * (x * y). [hyper(285,a,365,a(flip),b,7284,a),flip(a)]. 7288 (x / (y * x)) \ T(x,y) = x * y. [hyper(122,a,7284,a,b,365,a(flip))]. 7289 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(7284(a,2),414(a,1,2,1,2))]. 7290 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(123,a,7287,a,b,152,a(flip))]. 7291 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7287(a,2),6322(a,1,1)),flip(a)]. 7293 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = ((x \ 1) * y) * K(x,x \ 1). [para(7288(a,1),3928(a,1,1)),flip(a)]. 7294 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(622,a,7285,a)]. 7295 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(7285(a,1),1514(a,1,1)),flip(a)]. 7296 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4076(a,1),7290(a,1,1))]. 7297 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(118(a,1),7294(a,1,3)),flip(a)]. 7298 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7297(a,1),367(a,1,1))]. 7299 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7298(a,1),723(a,1,2))]. 7300 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3029(a,1),7296(a,1,1))]. 7301 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5233(a,1),7296(a,1,1))]. 7303 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [hyper(180,a,7300,a(flip))]. 7304 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(285,a,357,a(flip),b,7276,a),flip(a)]. 7305 (1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))). [hyper(66,a,2755,a(flip),b,7262,a),flip(a)]. 7306 (1 / x) * (1 / (1 / ((1 / x) \ y))) = x \ (1 / (1 / (x * y))). [hyper(66,a,3620,a,b,7305,a)]. 7307 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = K(R(x,z,u) \ 1,y \ x). [hyper(285,a,5969,a(flip),b,7172,a),flip(a)]. 7308 (x * y) * T((y * x) \ x,z) = K(y \ 1,z) * T(x,y). [hyper(6187,a,7283,a),flip(a)]. 7309 (x * y) * T((y * x) \ x,z) != u | K(y \ 1,z) * T(x,y) = u. [para(7283(a,1),6187(a,1))]. 7310 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(32(a,2),7289(a,2,1))]. 7311 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(7279(a,1),7310(a,1,2,1)),flip(a)]. 7312 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [hyper(285,a,7308,a(flip),b,7311,a),flip(a)]. 7313 R(T(1 / x,y),x,z) * (z * x) != u | K(x \ 1,y) * T(z,x) = u. [para(7311(a,2),7309(a,1))]. 7314 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(285,a,1490,a,b,7312,a),flip(a)]. 7315 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6086(a,1),7146(a,1,2,2,2))]. 7316 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(66,a,6626,a(flip),b,7155,a)]. 7317 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(87(a,1),7204(a,1,2,2,2,2))]. 7319 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(285,a,4929,a,b,7317,a)]. 7320 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6551,a,7233,a)]. 7322 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(718(a,1),7238(a,1,1,2))]. 7323 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(7228(a,2),7322(a,1,1)),flip(a)]. 7324 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(185,a,7323,a)]. 7325 T(K(x,y),z) * T(K(y,x),z) = 1. [hyper(138,a,7323,a)]. 7326 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [hyper(124,a,7323,a(flip),b,465,a),flip(a)]. 7327 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(124,a,7323,a(flip),b,5134,a(flip))]. 7328 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(5973(a,1),7323(a,1,1,1)),flip(a)]. 7329 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7323(a,1),5357(a,1,2,1))]. 7331 K(K(x,y),z) = K(z,K(y,x)). [hyper(5478,a,7327,a)]. 7332 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2240,a,7327,a)]. 7333 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(66,a,6608,a,b,7327,a)]. 7334 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7327(a,1),5478(a,1))]. 7335 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6441(a,1),7327(a,1,2))]. 7336 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(124,a,7331,a,b,5125,a(flip))]. 7337 K(x,K(y,z)) * K(x,K(z,y)) = 1. [hyper(124,a,7331,a(flip),b,5320,a)]. 7338 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(7331(a,1),5190(a,2,1)),flip(a)]. 7339 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(7331(a,1),5364(a,1,1))]. 7340 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7331(a,1),5219(a,1,1))]. 7341 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5610,a,7336,a),flip(a)]. 7342 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5377,a,7336,a)]. 7343 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(7336(a,1),5191(a,1,1))]. 7344 T(K(x,y),K(z,y)) = K(x,y). [hyper(2235,a,7342,a),flip(a)]. 7345 T(K(x,y),K(x,z)) = K(x,y). [hyper(2230,a,7342,a),flip(a)]. 7346 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(124,a,7344,a(flip),b,5449,a),flip(a)]. 7347 K(x,y) * K(z,y) = K(z,y) * K(x,y). [hyper(124,a,7344,a(flip),b,27,a(flip))]. 7351 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(66,a,6527,a(flip),b,7332,a)]. 7352 x \ K(y,z) != K(y,z) * K(u,z) | K(z,u) = x. [para(7346(a,1),51(a,1)),flip(a)]. 7353 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(66,a,7331,a(flip),b,7351,a),flip(a)]. 7354 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(32(a,2),7328(a,2,1))]. 7355 T(R(K(x,y),z,u) \ 1,w) = R(T(K(x,y),w),z,u) \ 1. [para(5975(a,1),7354(a,1,1))]. 7356 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = (1 / x) * y. [hyper(285,a,2950,a(flip),b,7293,a),flip(a)]. 7357 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(15(a,1),7316(a,1,2)),flip(a)]. 7359 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2398(a,2),7357(a,1,2,1))]. 7360 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(66,a,7250,a,b,7359,a)]. 7361 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(285,a,6630,a(flip),b,7360,a),flip(a)]. 7362 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6276,a,7319,a),flip(a)]. 7363 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2955,a,7362,a)]. 7364 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [hyper(2412,a,7362,a)]. 7365 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(66,a,5468,a,b,7362,a)]. 7366 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(315,a,7363,a)]. 7368 (x * ((1 / y) / x)) * y = K(x,x \ (y \ 1)). [hyper(4947,a,7366,a)]. 7369 K(x,(x * y) \ 1) = K(x,x \ (y \ 1)). [hyper(6622,a,7368,a)]. 7370 (x * K(y,y \ 1)) / K(z,z \ y) = x / ((y \ 1) * (z * (y / z))). [para(7364(a,1),4840(a,2,2))]. 7371 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6189(a,1),7365(a,1,2))]. 7372 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7323(a,1),7326(a,1,3)),flip(a)]. 7373 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7372(a,1),47(a,1))]. 7374 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(931(a,1),7255(a,1,2,1))]. 7375 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(7222(a,1),7374(a,1,2)),flip(a)]. 7376 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(180,a,7375,a)]. 7377 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(6393(a,1),7376(a,1,1))]. 7378 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(709,a,7377,a)]. 7379 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(138,a,7377,a)]. 7380 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7377(a,1),240(a,1,2)),flip(b)]. 7382 L(x,K(y,x),z) = x. [para(3185(a,1),7378(a,1,1))]. 7383 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(7382(a,1),34(a,1,1)),flip(a)]. 7384 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(7382(a,1),35(a,1,1)),flip(a)]. 7385 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(7382(a,1),413(a,1,2,1))]. 7388 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(7383(a,1),3249(a,1,2,2)),flip(a)]. 7389 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(7384(a,1),444(a,1,2,2)),flip(a)]. 7390 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(285,a,6394,a,b,7379,a),flip(a)]. 7392 (x * K(y,z)) * K(z,y) = x. [hyper(38,a,6336,a(flip),b,7379,a),flip(a)]. 7393 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(123,a,7379,a(flip),b,6336,a)]. 7394 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6322(a,1),7379(a,1,1)),flip(a)]. 7395 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6984,a,7392,a),flip(a)]. 7396 x / K(y,z) = x * K(z,y). [hyper(293,a,7392,a),flip(a)]. 7398 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(224,a,7392,a,b,5360,a)]. 7399 (x * K(y,z)) \ x = K(z,y). [hyper(128,a,7392,a)]. 7400 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(122,a,117,a,b,7392,a)]. 7401 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(38,a,7343,a,b,7392,a),flip(a)]. 7402 (x * T(y,z)) * K(z,y) = x * y. [hyper(38,a,6322,a,b,7392,a),flip(a)]. 7403 (x / y) * K(z,y) = x / T(y,z). [hyper(38,a,6319,a,b,7392,a),flip(a)]. 7404 (T(x,y) \ K(x,z)) * K(z,x) = T(x,y) \ 1. [hyper(38,a,6045,a,b,7392,a),flip(a)]. 7405 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(38,a,5631,a,b,7392,a),flip(a)]. 7406 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(38,a,2229,a,b,7392,a),flip(a)]. 7408 (x * K(y,z)) / z = x / T(z,y). [hyper(123,a,7392,a(flip),b,6321,a),flip(a)]. 7409 x * K(y,z) != u | u * K(z,y) = x. [para(7392(a,1),47(a,1)),flip(a)]. 7410 x / K(y,z) != u | x * K(z,y) = u. [para(7392(a,1),294(a,1,1)),flip(b)]. 7411 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7392(a,1),304(a,1,2)),flip(b)]. 7413 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7392(a,1),103(a,1,1))]. 7414 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7392(a,1),113(a,2,1))]. 7415 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7392(a,1),447(a,1,2,2))]. 7416 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7392(a,1),647(a,1,1,2))]. 7417 (x * K(y,z)) * T(z,y) = x * z. [para(7392(a,1),6311(a,1,1)),flip(a)]. 7418 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7392(a,1),6977(a,1,1)),flip(a)]. 7419 (x / T(y,z)) / K(z,y) = x / y. [hyper(285,a,6319,a(flip),b,7396,a),flip(a)]. 7420 (x * K(y,y \ 1)) / K(z,y) = x * (T(y,z) * (1 / y)). [hyper(285,a,5814,a(flip),b,7396,a),flip(a)]. 7421 (x * K(y,y \ 1)) * K(z \ y,z) = x / ((y \ 1) * (z * (y / z))). [hyper(66,a,7370,a(flip),b,7396,a),flip(a)]. 7422 (x * K(y,z)) * K(z,y) != u | x = u. [para(7396(a,1),237(a,1,1))]. 7425 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7396(a,1),487(a,1,1))]. 7426 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),708(a,1,1,2))]. 7427 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7396(a,1),1847(a,1,1,2))]. 7428 x / (K(y,z) \ 1) = x * K(y,z). [para(5320(a,2),7396(a,1,2))]. 7431 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(285,a,5950,a(flip),b,7399,a),flip(a)]. 7432 (x / T(y,z)) * y = x * K(z,y). [hyper(42,a,6359,a,b,7399,a)]. 7433 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7399(a,2),5334(a,1,1))]. 7434 (x / y) \ (x / T(y,z)) = K(z,y). [para(6319(a,1),7399(a,1,1))]. 7435 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6320(a,1),7399(a,1,1))]. 7436 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6344(a,2),7399(a,1,1))]. 7437 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6462(a,2),7399(a,1,1))]. 7438 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(6461(a,1),7399(a,1,1)),flip(a)]. 7439 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(6759(a,1),7399(a,1,1,2))]. 7440 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7018(a,1),7399(a,1,1,2)),flip(a)]. 7441 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(224,a,7402,a,b,5360,a)]. 7444 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7402(a,1),6311(a,1,1)),flip(a)]. 7445 ((x * T(y,z)) / z) * K(z,y) = (x * y) / z. [para(7402(a,1),6348(a,1,1)),flip(a)]. 7447 x / T(y \ x,z) = y * K(z,y \ x). [hyper(315,a,7403,a),flip(a)]. 7448 (x / y) * K(x,y) = T(x,y) / y. [hyper(285,a,4120,a,b,7403,a),flip(a)]. 7450 T(x / y,K(x,y)) = x / y. [hyper(224,a,7403,a,b,5584,a)]. 7452 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(7403(a,1),315(a,1))]. 7453 T(x / y,K(y,x)) = x / y. [hyper(43,a,7342,a,b,7450,a)]. 7455 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7405(a,1),113(a,2,2))]. 7456 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(7408(a,1),118(a,1,1))]. 7457 T(x * K(y,z),T(z,y)) = T(z,y) \ (x * z). [hyper(224,a,7417,a,b,15,a)]. 7458 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(128,a,7417,a)]. 7459 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(123,a,5197,a(flip),b,7417,a)]. 7460 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(122,a,5146,a(flip),b,7417,a)]. 7461 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(122,a,15,a(flip),b,7417,a)]. 7468 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(224,a,7428,a(flip),b,5360,a),flip(a)]. 7470 x * K(y,z) != u * z | x / T(z,y) = u. [para(7432(a,1),47(a,1))]. 7475 (x \ y) \ (y / T(T(x,x \ y),z)) = K(z,T(x,x \ y)). [para(249(a,1),7434(a,1,1))]. 7477 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(66,a,5402,a(flip),b,7448,a)]. 7479 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(7448(a,1),447(a,1,1))]. 7481 T(x,((y \ x) * y) \ 1) = (z * K(x \ 1,x)) \ (z * x). [para(6889(a,1),7458(a,1,1,2)),flip(a)]. 7485 T(x * K(y,x),z) \ T(x,z) != u | K(T(x,z),y) = u. [para(5595(a,1),7411(a,1,1))]. 7486 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5795(a,1),7411(a,1,1))]. 7487 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5798(a,1),7411(a,1,1))]. 7493 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6322(a,1),7422(a,1,1))]. 7495 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(7390(a,2),225(a,2))]. 7496 T(K(x,y) * z,K(x,y)) = z * K(x,y). [hyper(43,a,7342,a,b,7398,a)]. 7499 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(7398(a,1),383(a,1,2,1))]. 7500 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5334(a,2),7401(a,1,1))]. 7502 (((x \ y) \ y) * z) \ (x * z) = K(x \ y,T(x,z)). [para(117(a,1),7435(a,1,1,1))]. 7504 ((x * (y * T(y \ z,u))) / z) \ x = K(u,((x * y) / z) \ x). [para(1413(a,1),7436(a,1,1))]. 7505 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(7436(a,1),2570(a,2,1,2,1))]. 7507 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [hyper(285,a,112,a,b,7444,a),flip(a)]. 7508 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7444(a,1),4149(a,1,2))]. 7509 (x * K(y,x \ z)) \ z != u | T(x \ z,y) = u. [para(7447(a,1),307(a,1,1)),flip(b)]. 7511 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7496(a,1),28(a,1,1)),flip(a)]. 7512 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7496(a,2),225(a,2)),flip(a)]. 7513 x / T(K(y,z),x) = K(y,z) \ x. [hyper(38,a,4116,a,b,7500,a)]. 7514 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(180,a,7513,a)]. 7515 (K(x,y) * z) \ z = T(K(y,x),z). [para(5334(a,1),7514(a,1,1))]. 7516 x * ((K(y,z) * x) \ x) = K(z,y) * x. [hyper(124,a,7515,a,b,27,a(flip))]. 7518 (x * T(y / z,z)) * z = (x * (y / z)) * (y / (y / z)). [para(5129(a,2),7394(a,1,2)),flip(a)]. 7519 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(7394(a,1),5583(a,1,1))]. 7520 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(7395(a,1),7411(a,1,1))]. 7521 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5150(a,1),7418(a,1,2,1))]. 7522 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(17(a,1),7437(a,1,1,2,1)),flip(a)]. 7523 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5344(a,2),7468(a,1,1))]. 7526 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4153,a,7507,a)]. 7530 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(90(a,1),7438(a,2,1))]. 7531 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(66,a,6104,a(flip),b,7440,a),flip(a)]. 7532 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(124,a,6104,a(flip),b,7440,a(flip))]. 7533 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(185,a,7531,a)]. 7535 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6267(a,1),7531(a,1,1,2)),flip(a)]. 7536 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7531(a,1),7192(a,1,1)),flip(a)]. 7537 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(7532(a,1),304(a,1,2)),flip(b)]. 7539 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(7535(a,2),7411(a,1))]. 7540 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5764(a,1),7477(a,1,2))]. 7541 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7540(a,1),200(a,2,2))]. 7542 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(949(a,2),7425(a,2,2))]. 7543 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5446(a,1),7425(a,2,2))]. 7544 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(T(T(x,z),u),y) = w. [para(5595(a,1),7485(a,1,1,1))]. 7546 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7508(a,1),647(a,1))]. 7548 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(5490(a,1),7520(a,1))]. 7549 K((x * y) \ 1,x) != z | K(y \ (x \ 1),x) = z. [para(6662(a,1),7548(a,1))]. 7550 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5834(a,2),7549(a,1))]. 7551 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(7440(a,2),7537(a,1))]. 7552 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(176(a,1),7551(a,1,2,2))]. 7553 x / ((T(y,z) \ 1) * y) = x * (T(y,z) * (1 / y)). [hyper(66,a,5802,a(flip),b,7420,a)]. 7554 ((T(x,y) \ 1) * x) \ 1 = T(x,y) * (1 / x). [hyper(4701,a,7553,a)]. 7555 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = ((T(y,z) \ 1) * y) * ((T(y,z) * (1 / y)) * x). [para(7554(a,1),242(a,1,2,1)),flip(a)]. 7556 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5981(a,1),7431(a,1,1,2))]. 7557 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(185,a,7556,a)]. 7558 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(140,a,7556,a),flip(a)]. 7559 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(66,a,278,a,b,7556,a)]. 7560 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7556(a,1),297(a,1,2)),flip(b)]. 7561 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),7556(a,1,1))]. 7562 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7558(a,1),46(a,1)),flip(a)]. 7563 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7558(a,1),304(a,1,2)),flip(b)]. 7565 T(x,((y \ x) * y) \ 1) = T(x,x \ 1). [hyper(285,a,7458,a(flip),b,7481,a),flip(a)]. 7566 T(x,(y * (x / y)) \ 1) = T(x,x \ 1). [para(90(a,1),7565(a,1,2,1,1))]. 7567 (x * (y / z)) * (y / (y / z)) = (x * (z \ y)) * z. [para(118(a,1),7518(a,1,1,2)),flip(a)]. 7568 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(479,a,7519,a),flip(a)]. 7572 (((x * y) * T((x * y) \ (y * z),u)) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(1184(a,2),7504(a,1,1,1))]. 7573 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5335(a,1),7521(a,1,1,2))]. 7574 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5738(a,1),7573(a,2,2))]. 7575 R(x,K(y \ 1,z),y) = x. [hyper(5005,a,7574,a)]. 7576 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,7574,a)]. 7577 R(x,y,K(y \ 1,z)) = x. [hyper(6862,a,7575,a)]. 7579 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(7577(a,1),112(a,1,1)),flip(a)]. 7580 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(445,a,7579,a)]. 7581 a(x,y,K(y \ 1,z)) = 1. [hyper(56,a,7580,a)]. 7582 a(x,y \ 1,K(y,z)) = 1. [para(3341(a,1),7581(a,1,3))]. 7583 L(K(x,y),x \ 1,z) = K(x,y). [hyper(55,a,7582,a)]. 7584 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(66,a,5946,a(flip),b,7583,a)]. 7585 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [hyper(124,a,7584,a(flip),b,5125,a(flip)),flip(a)]. 7586 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(285,a,5130,a,b,7585,a),flip(a)]. 7587 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7415,a,7561,a)]. 7588 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7396(a,1),7427(a,2,2))]. 7589 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(7411,a,7439,a),flip(a)]. 7590 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(138,a,7588,a)]. 7591 ((x * (y * T(y \ (x \ (y * z)),u))) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(830(a,1),7572(a,1,1,1))]. 7592 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(116(a,1),7591(a,1,1,1,2))]. 7593 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((x * y) / z) \ y). [para(116(a,1),7592(a,2,2,1,1))]. 7594 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((y * x) / z) \ x). [para(4972(a,1),7593(a,1,1,1))]. 7595 K(x,((y * x) / z) \ x) = K(x,((x * y) / z) \ x). [hyper(66,a,7504,a(flip),b,7594,a),flip(a)]. 7596 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(66,a,5835,a(flip),b,7189,a),flip(a)]. 7598 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(66,a,5835,a(flip),b,7596,a),flip(a)]. 7600 (x * (y / x)) / (((x \ 1) * y) \ y) = ((x \ 1) * y) * K(x,x \ y). [para(6538(a,1),5401(a,1,2)),flip(a)]. 7601 (x * (y / x)) / (((x \ 1) * y) \ y) = y / R(x,x \ 1,y). [hyper(285,a,6765,a(flip),b,7600,a),flip(a)]. 7602 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),5411(a,1,2,1,2,2))]. 7603 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(66,a,2155,a(flip),b,7602,a)]. 7604 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(116(a,1),7603(a,1,1,2))]. 7605 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4940(a,1),7604(a,1,1))]. 7606 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(295,a,7605,a)]. 7608 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7606(a,1),6877(a,1,1))]. 7609 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(295,a,7608,a),flip(a)]. 7610 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6366,a,7609,a)]. 7612 x / T(y,T(y,z) \ x) = y \ x. [hyper(7470,a,7610,a)]. 7613 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(37,a,271,a,b,7610,a),flip(a)]. 7615 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(39,a,249,a,b,7612,a),flip(a)]. 7618 K((x / y) \ z,x / y) = K((y \ x) \ z,x / y). [para(118(a,1),7613(a,1,1,1)),flip(a)]. 7620 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7613(a,1),5869(a,1,1,1,2))]. 7623 T(x,x \ (T(x,y) * z)) = T(x,z). [para(14(a,1),7615(a,1,2)),flip(a)]. 7625 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7623(a,1),3979(a,1,2))]. 7626 T(x,K(x,y) * z) = T(x,z). [para(5514(a,1),7623(a,1,2))]. 7627 T(x,K(x,y) \ z) = T(x,z). [para(15(a,1),7626(a,1,2)),flip(a)]. 7628 T(x,K(y,x) * z) = T(x,z). [para(5360(a,1),7626(a,1,2)),flip(a)]. 7629 T(x,T(y,x) * z) = T(x,y * z). [para(5158(a,1),7626(a,1,2)),flip(a)]. 7630 T(x,T(x,y) * z) = T(x,x * z). [para(5219(a,1),7626(a,1,2))]. 7633 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7626(a,1),5595(a,1,1))]. 7634 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5854(a,1),7626(a,1,2)),flip(a)]. 7635 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5196(a,2),7627(a,1,2))]. 7637 T(x,K(y,x) * T(x,z)) = x. [hyper(285,a,170,a(flip),b,7628,a),flip(a)]. 7638 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7628(a,1),4524(a,1,3))]. 7639 T(x,y * T(z,x)) = T(x,y * z). [para(5832(a,1),7628(a,1,2))]. 7640 T(x,y \ T(z,x)) = T(x,y \ z). [para(5824(a,1),7628(a,1,2))]. 7642 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7629(a,1),853(a,1,1)),flip(a)]. 7643 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(66,a,4182,a,b,7635,a)]. 7644 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(118(a,1),7640(a,1,2,2)),flip(a)]. 7645 T(x / (x / y),z) \ x = x / T(y,z). [para(5073(a,2),7620(a,1,1,1))]. 7646 L(x,x \ y,x) \ y = y / T(x,y). [para(5097(a,1),7620(a,1,1))]. 7647 x / T(y,L(y,z,u) * (y \ x)) = L(y,y \ x,L(y,z,u)) \ x. [para(5394(a,1),7620(a,1,1)),flip(a)]. 7649 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(185,a,7645,a)]. 7651 T(x / (x / K(y,z)),x) = K(y,z). [hyper(42,a,7513,a(flip),b,7645,a),flip(a)]. 7653 x / T(y \ x,z) = T(x / y,z) \ x. [para(87(a,1),7645(a,1,1,1,2)),flip(a)]. 7654 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(181(a,1),7645(a,1,1,1)),flip(a)]. 7655 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(6942(a,1),7645(a,1,1,1)),flip(a)]. 7656 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7651(a,1),52(a,1)),flip(a)]. 7658 T(x / (x / y),x) = x / (T(x,y) / y). [para(4120(a,2),7649(a,1,2)),flip(a)]. 7660 T(x / y,z) \ x = y * K(z,y \ x). [hyper(7452,a,7653,a),flip(a)]. 7661 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(180,a,7653,a)]. 7662 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(122,a,7653,a(flip),b,7447,a(flip))]. 7664 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(117(a,2),7654(a,1,2,1))]. 7665 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(282(a,2),7654(a,1,2))]. 7666 x / T((y \ x) * y,z) = T((y \ x) * y,z) \ x. [para(5432(a,1),7654(a,1,2,1))]. 7667 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(66,a,4273,a(flip),b,7658,a)]. 7668 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(7667(a,2),4942(a,1,1,1,2))]. 7669 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(185,a,7660,a)]. 7671 L(K(x,(y \ 1) \ z),y \ 1,y) != u | y * (T(z / (y \ 1),x) \ z) = u. [para(7662(a,1),539(a,1,1))]. 7673 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [para(7664(a,1),7475(a,1,2))]. 7674 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(180,a,7665,a),flip(a)]. 7675 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(27(a,2),7669(a,1,2,2,2))]. 7676 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(66,a,7371,a(flip),b,7666,a),flip(a)]. 7677 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(16(a,1),7675(a,2,1))]. 7678 T(x,y) \ (x * z) = z * K(y,T(x,z)). [hyper(180,a,7677,a)]. 7679 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(5944,a,7678,a)]. 7680 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(5675,a,7678,a),flip(a)]. 7681 K(x,T(y,z)) = T(K(x,y),z). [hyper(5592,a,7678,a),flip(a)]. 7682 x * K(y,T(z,x)) = K(y,z) * x. [hyper(5591,a,7678,a),flip(a)]. 7683 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [hyper(66,a,4297,a,b,7678,a)]. 7684 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7678(a,1),5591(a,1))]. 7685 T(K(x * y,x),y) = K(x * y,x). [hyper(6122,a,7681,a),flip(a)]. 7686 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(285,a,7338,a,b,7681,a)]. 7687 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(285,a,6459,a,b,7681,a)]. 7688 K(x,T(y,y \ z)) = K(x,T(y,z)). [hyper(285,a,6439,a,b,7681,a)]. 7689 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(285,a,6425,a,b,7681,a)]. 7690 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(285,a,6108,a,b,7681,a)]. 7691 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(285,a,6080,a,b,7681,a)]. 7692 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(285,a,6007,a,b,7681,a),flip(a)]. 7693 K(x,T(y,K(x,z))) = K(x,y). [hyper(285,a,7345,a(flip),b,7681,a),flip(a)]. 7694 K(x / y,T(z,x)) = K(y \ x,z). [hyper(285,a,6460,a(flip),b,7681,a),flip(a)]. 7695 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(285,a,6441,a(flip),b,7681,a),flip(a)]. 7696 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(285,a,6440,a(flip),b,7681,a),flip(a)]. 7697 K(x,T(y / z,y)) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7681,a),flip(a)]. 7698 K(x,T(y,z * (x / z))) = K(x,y). [hyper(285,a,4930,a(flip),b,7681,a),flip(a)]. 7699 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(285,a,3371,a(flip),b,7681,a),flip(a)]. 7700 K(x,T(y,T(x,z))) = K(x,y). [hyper(285,a,3359,a(flip),b,7681,a),flip(a)]. 7701 K(x,T(y,K(z,x))) = K(x,y). [hyper(285,a,2227,a(flip),b,7681,a),flip(a)]. 7702 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(124,a,7681,a,b,7515,a)]. 7703 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(66,a,6439,a(flip),b,7681,a),flip(a)]. 7704 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(124,a,7681,a(flip),b,5125,a(flip))]. 7705 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(30(a,2),7681(a,1,2))]. 7707 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7681(a,2),582(a,1,2,2))]. 7708 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7681(a,2),6549(a,1))]. 7709 K(x,T(y,z)) * T(K(y,x),z) = 1. [para(7681(a,2),7325(a,1,1))]. 7710 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7681(a,2),7327(a,1,2))]. 7711 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7681(a,2),7340(a,2,1))]. 7712 T(R(K(x,y),z,u) \ 1,w) = R(K(x,T(y,w)),z,u) \ 1. [para(7681(a,2),7355(a,2,1,1))]. 7713 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7329(a,1,1))]. 7714 T(K(x,y),K(z,y) * T(y,u)) = K(x,y). [para(7637(a,1),7681(a,1,2)),flip(a)]. 7715 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7681(a,2),7681(a,1,2))]. 7716 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [hyper(124,a,7700,a(flip),b,5722,a),flip(a)]. 7717 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(118(a,1),7700(a,1,2)),flip(a)]. 7718 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7700(a,2),3193(a,1,2))]. 7720 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(118(a,1),7699(a,1,2)),flip(a)]. 7721 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7699(a,1),5890(a,1,2))]. 7723 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(7409,a,7682,a)]. 7724 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(37,a,3354,a,b,7682,a),flip(a)]. 7725 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(30(a,2),7682(a,1,2,2))]. 7726 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7682(a,1),46(a,1))]. 7727 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(3980(a,1),7682(a,1,2,2))]. 7728 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5617(a,1),7682(a,1,2,2))]. 7729 K(x * y,x) * y = y * K(x * y,x). [para(5765(a,1),7682(a,1,2)),flip(a)]. 7730 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(118(a,1),7724(a,1,2)),flip(a)]. 7731 K(x,T(y,(1 / (z / x)) * z)) = K(x,y). [para(507(a,1),7724(a,1,2,2))]. 7732 R(x,y,K(z,T(y,u))) = x. [para(7687(a,1),6521(a,1,3))]. 7733 R(x,y \ 1,K(z,T(y,u))) = x. [para(7687(a,1),7080(a,1,3))]. 7734 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7732(a,1),112(a,1,1)),flip(a)]. 7735 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5150(a,1),7733(a,1,3,2))]. 7736 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(124,a,7688,a(flip),b,7673,a)]. 7737 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4313(a,2),7688(a,1,2,2))]. 7738 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(66,a,617,a,b,7689,a)]. 7739 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(1240(a,1),7689(a,1,2,1))]. 7740 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(4286(a,1),7689(a,1,2)),flip(a)]. 7741 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7689(a,1),6634(a,1,1)),flip(a)]. 7742 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(7433(a,1),7689(a,1,2)),flip(a)]. 7743 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(66,a,7031,a,b,7694,a)]. 7744 K(x / y,x \ z) = K(y \ x,z / x). [para(118(a,1),7694(a,1,2))]. 7745 K(L(x,y,z) / u,T(x,w)) = K(u \ L(x,y,z),T(x,w)). [para(199(a,1),7694(a,1,2))]. 7746 T((x / y) \ 1,K(y \ x,z)) = (x / y) \ 1. [para(7694(a,1),1383(a,1,2))]. 7748 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7694(a,1),4072(a,1,3))]. 7750 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5566(a,1),7694(a,1,2))]. 7753 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7694(a,1),7031(a,1,1)),flip(a)]. 7754 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(490(a,1),7697(a,1,2))]. 7755 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(118(a,1),7698(a,1,2)),flip(a)]. 7756 x * K(T(y,x),z) = K(y,z) * x. [hyper(7409,a,7702,a)]. 7757 T(K(x,y),y) != z | K(x,y) = z. [para(7703(a,1),192(a,1))]. 7758 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6012,a,7704,a),flip(a)]. 7759 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7704(a,1),7333(a,1,2,2))]. 7760 K(T(x,y),z) = T(K(x,z),y). [hyper(5364,a,7709,a)]. 7761 K(T(x,y),z) = K(x,T(z,y)). [hyper(285,a,7681,a,b,7760,a),flip(a)]. 7762 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(285,a,6459,a,b,7760,a)]. 7763 K(T(x \ K(x,y),y),z) = K(x \ 1,z). [hyper(285,a,6741,a(flip),b,7760,a),flip(a)]. 7764 K(T(x,y),y / z) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7760,a),flip(a)]. 7765 x * K(T(y,x),z) = K(z,y) \ x. [hyper(124,a,7760,a,b,5449,a)]. 7767 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7760(a,1),5190(a,2,1)),flip(a)]. 7768 K(T(x * y,x),y) = K(x * y,y). [hyper(285,a,5784,a(flip),b,7761,a),flip(a)]. 7769 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(66,a,7399,a,b,7761,a)]. 7770 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(66,a,3346,a(flip),b,7761,a),flip(a)]. 7771 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(124,a,7761,a(flip),b,7434,a)]. 7772 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(32(a,2),7761(a,1,1))]. 7773 K(T(x,R(y,z,u)),y) = K(x,y). [para(168(a,1),7761(a,2,2))]. 7774 K(x / y,T(z,y)) = K(y \ x,z). [para(118(a,1),7761(a,1,1)),flip(a)]. 7775 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(191(a,1),7761(a,1,1)),flip(a)]. 7776 K((x * y) / x,T(z,x)) = K(y,z). [para(208(a,1),7761(a,1,1)),flip(a)]. 7777 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(197(a,1),7761(a,1,1)),flip(a)]. 7778 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1383(a,1),7761(a,1,1)),flip(a)]. 7779 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7761(a,1),5190(a,2,1)),flip(a)]. 7781 R(x,y,K(T(y,z),u)) = x. [para(7761(a,2),6353(a,1,3))]. 7782 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7761(a,1),7409(a,1,2))]. 7783 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7761(a,1),7411(a,1,1,2))]. 7784 (x * K(y,T(x \ z,u))) \ z = T(x \ z,T(y,u)). [para(7761(a,1),7461(a,1,1,2))]. 7785 (x * K(y,T(x \ z,u))) \ z != w | T(x \ z,T(y,u)) = w. [para(7761(a,1),7509(a,1,1,2))]. 7786 R(x,(y * z) / y,K(z,u)) = x. [para(208(a,1),7781(a,1,3,1))]. 7788 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7786(a,1),463(a,1,1))]. 7789 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2102,a,7756,a),flip(a)]. 7790 K(x / y,z) * y = y * K(y \ x,z). [para(118(a,1),7756(a,1,2,1)),flip(a)]. 7792 K(T(x,x \ y),z) = K(T(x,y),z). [para(117(a,2),7762(a,1,1))]. 7793 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7762(a,1,1,1)),flip(a)]. 7794 K(T(x,y * x),z) = K(T(x,y),z). [para(4140(a,2),7762(a,1,1)),flip(a)]. 7795 K(T(x \ 1,x * y),z) = K(T(x \ 1,y),z). [para(4285(a,2),7762(a,1,1))]. 7796 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7762(a,1),6661(a,1,1)),flip(a)]. 7797 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7433(a,1),7762(a,1,1)),flip(a)]. 7798 K(T(T(x / y,z),x),u) = K(T(y \ x,z),u). [para(7661(a,1),7762(a,1,1)),flip(a)]. 7799 K(T(T(x,y),x \ z),u) = K(T(T(x,y),z),u). [para(7674(a,2),7762(a,1,1))]. 7800 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(197(a,1),7764(a,1,1))]. 7801 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(198(a,1),7764(a,1,1))]. 7802 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6557,a,7774,a)]. 7803 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(66,a,5836,a(flip),b,7774,a),flip(a)]. 7804 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(169(a,1),7774(a,1,2))]. 7806 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7775(a,1),5190(a,2,1))]. 7807 R(x,T(y,z),K(u,y)) = x. [para(7776(a,1),6521(a,1,3))]. 7808 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(4836,a,7807,a),flip(a)]. 7809 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(66,a,7414,a(flip),b,7807,a),flip(a)]. 7810 R(x,y \ K(y,z),K(u,y)) = x. [para(5359(a,1),7735(a,1,2))]. 7811 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(66,a,7455,a(flip),b,7810,a)]. 7812 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(118(a,1),7777(a,1,2)),flip(a)]. 7813 K(((x / y) * x) \ (y * (x / y)),z) = K((y \ x) \ 1,T(z,x)). [hyper(66,a,6488,a,b,7691,a)]. 7814 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(169(a,1),7691(a,1,1,1)),flip(a)]. 7815 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(66,a,7335,a(flip),b,7710,a)]. 7816 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(66,a,7353,a,b,7815,a)]. 7817 R(x,y * z,K(y,K(z,u))) = x. [para(7816(a,1),6353(a,1,3))]. 7818 R(x,y * z,K(y,K(z,u))) != w | x = w. [para(7817(a,1),54(a,2))]. 7819 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6712(a,1),7729(a,1,1)),flip(a)]. 7820 K(x,T(y,((z / x) \ 1) * z)) = K(x,y). [para(4813(a,1),7731(a,1,2))]. 7821 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(7736(a,1),7417(a,1,1))]. 7823 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7769(a,1),7411(a,1))]. 7824 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7778(a,1),5177(a,1,2)),flip(a)]. 7825 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5744,a,7779,a)]. 7828 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(285,a,7691,a,b,7803,a)]. 7829 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(285,a,5190,a,b,7806,a),flip(a)]. 7830 T(x,T(y,T(x,z))) = T(x,y). [para(115(a,1),7829(a,1,2,2,1))]. 7832 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5150(a,1),7829(a,1,2,2,1))]. 7833 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(230(a,1),7830(a,1,2,2))]. 7834 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5150(a,1),7830(a,1,2,2))]. 7835 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7830(a,1),5723(a,1,1)),flip(a)]. 7837 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7681(a,2),7825(a,1,2,2))]. 7838 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(66,a,6467,a(flip),b,7828,a)]. 7839 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7838(a,1),5302(a,2,2,2)),flip(a)]. 7842 K(x,(((y / x) \ 1) * y) / z) != u | K(x,z \ (((y / x) \ 1) * y)) = u. [para(7820(a,1),7708(a,1))]. 7843 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4184(a,1),7683(a,1,2,1))]. 7844 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(66,a,7117,a(flip),b,7730,a),flip(a)]. 7845 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(3090(a,1),7844(a,1,2,1))]. 7846 K(L(x,y,y \ 1) \ z,x) = u / (K(x,x \ z) * u). [para(7845(a,1),5448(a,1,2,1)),flip(a)]. 7847 K(x,T((y * z) \ 1,z \ 1)) = K(x,T((y * z) \ 1,y)). [para(6594(a,1),7740(a,1,2))]. 7848 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6560(a,2),7759(a,1,2))]. 7849 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(118(a,1),7771(a,1,2,2))]. 7850 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7808(a,1),3024(a,2,2))]. 7852 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5130(a,2),7811(a,1,1))]. 7853 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(180,a,7852,a(flip))]. 7854 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5318(a,1),7853(a,2,2))]. 7855 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7833(a,1),28(a,1,1)),flip(a)]. 7856 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(66,a,6917,a(flip),b,7834,a)]. 7857 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [hyper(124,a,7834,a(flip),b,27,a(flip))]. 7858 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5208,a,7848,a)]. 7859 K(x,K(y,z)) = K(z,K(y,x)). [hyper(66,a,7816,a(flip),b,7858,a)]. 7860 K(K(x,y),z) = K(x,K(y,z)). [hyper(7334,a,7859,a)]. 7861 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(285,a,7858,a(flip),b,7859,a),flip(a)]. 7862 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(124,a,7859,a,b,5125,a(flip))]. 7863 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [hyper(124,a,7859,a,b,21,a(flip))]. 7864 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7859(a,1),5142(a,2,1)),flip(a)]. 7865 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7859(a,1),5162(a,1,1))]. 7867 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(7859(a,1),7337(a,1,1))]. 7868 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7859(a,1),7338(a,1,1))]. 7869 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7859(a,1),7340(a,1,1))]. 7870 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(285,a,5973,a(flip),b,7860,a),flip(a)]. 7871 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [hyper(124,a,7860,a(flip),b,6358,a)]. 7872 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(124,a,7860,a(flip),b,5125,a(flip))]. 7873 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7860(a,1),5180(a,1,2))]. 7875 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(7860(a,1),5525(a,1,1,1))]. 7876 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7860(a,1),5983(a,2,1))]. 7877 (x * (y / K(z,u))) / (K(z,u) \ y) = x * K(z,K(u,K(z,u) \ y)). [para(7860(a,1),6578(a,2,2))]. 7878 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(93(a,1),7861(a,1,2,2))]. 7879 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6626(a,1),7861(a,1,2))]. 7881 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7339,a,7867,a)]. 7882 K(K(x,y),z) = K(y,K(z,x)). [hyper(5364,a,7867,a)]. 7883 K(K(x,y),z) = K(y,K(x,z)). [hyper(285,a,7860,a,b,7881,a)]. 7884 K(x,K(y,z)) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7881,a),flip(a)]. 7885 L(K(x \ 1,K(y,z)),u,w) = K(y,K(L(x,u,w) \ 1,z)). [hyper(285,a,5977,a,b,7881,a)]. 7886 K(x,K(y,x \ y)) = 1. [hyper(285,a,5624,a(flip),b,7881,a),flip(a)]. 7888 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(124,a,7881,a,b,5125,a(flip))]. 7889 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7881(a,1),5190(a,2,1)),flip(a)]. 7891 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7881(a,1),5259(a,1,1))]. 7892 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7881(a,1),5152(a,1,2,1))]. 7893 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(7881(a,1),5525(a,1,1,1))]. 7894 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(7881(a,1),5542(a,2,2))]. 7895 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(7881(a,1),5537(a,1,1,1))]. 7896 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7881(a,1),6375(a,1,2))]. 7897 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6626(a,2),7881(a,1,2))]. 7898 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(7881(a,1),6899(a,1,3))]. 7900 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(7881(a,1),7686(a,1,1))]. 7901 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7881(a,1),7862(a,1,2))]. 7902 T(x,K(y,x \ y)) = x. [hyper(59,a,7886,a)]. 7903 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(7902(a,1),5178(a,1,2,1)),flip(a)]. 7906 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [hyper(124,a,7882,a(flip),b,5125,a(flip))]. 7907 K(K(x,y),z) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7883,a),flip(a)]. 7908 K(x,K(y,z)) = K(x,K(z,y)). [hyper(66,a,7882,a(flip),b,7883,a)]. 7909 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7883(a,1),5146(a,1,1))]. 7910 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5973(a,1),7883(a,1,1)),flip(a)]. 7911 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5981(a,1),7883(a,1,1)),flip(a)]. 7912 x * K(K(y,z),x) = T(x,K(y,z)). [para(7883(a,2),7862(a,1,2))]. 7913 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [hyper(124,a,7884,a,b,6466,a),flip(a)]. 7914 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [hyper(124,a,7884,a,b,6358,a)]. 7915 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [hyper(124,a,7884,a,b,6574,a(flip)),flip(a)]. 7916 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [hyper(124,a,7884,a,b,21,a(flip))]. 7917 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7884(a,2),5190(a,2,1)),flip(a)]. 7918 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7884(a,2),5259(a,1,1))]. 7919 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7884(a,2),5219(a,1,1))]. 7920 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(7884(a,1),5525(a,1,1,1))]. 7921 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5826(a,1),7884(a,1,2)),flip(a)]. 7922 L(K(x,y) * K(x,K(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). [para(7884(a,2),5392(a,1,1,2))]. 7923 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7884(a,2),5909(a,1,1))]. 7924 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7761(a,1),7884(a,1,2))]. 7925 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7884(a,1),7867(a,1,1))]. 7926 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7907(a,1),5545(a,1,1))]. 7927 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7907(a,1),5452(a,1,1))]. 7929 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(285,a,7861,a,b,7908,a)]. 7930 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7908(a,1),5190(a,2,1)),flip(a)]. 7931 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(5981(a,1),7908(a,1,2)),flip(a)]. 7932 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6125(a,1),7908(a,1,2)),flip(a)]. 7933 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7761(a,1),7908(a,1,2))]. 7934 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7774(a,2),7908(a,1,2))]. 7935 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(285,a,7881,a,b,7879,a),flip(a)]. 7936 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(15(a,1),7879(a,1,2,2)),flip(a)]. 7937 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7879(a,1),7686(a,1,1))]. 7939 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(935(a,1),7889(a,1,1,2)),flip(a)]. 7940 T(x,K(y,z)) = T(x,K(z,y)). [hyper(66,a,7862,a(flip),b,7901,a)]. 7941 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5668,a,7940,a)]. 7942 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(285,a,7401,a,b,7940,a)]. 7943 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(285,a,7496,a(flip),b,7940,a),flip(a)]. 7944 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(285,a,7441,a(flip),b,7940,a),flip(a)]. 7945 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7940(a,1),7343(a,1,1))]. 7946 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(7912(a,1),6752(a,1,2))]. 7947 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7912(a,1),7568(a,1,3)),flip(a)]. 7948 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(285,a,7523,a,b,7917,a),flip(a)]. 7950 K(x,K(y,x * y)) = 1. [hyper(285,a,3352,a(flip),b,7929,a),flip(a)]. 7951 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(285,a,4401,a,b,7950,a),flip(a)]. 7952 T(x,K(y,x * y)) = x. [hyper(59,a,7950,a)]. 7953 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7930(a,1),5259(a,1))]. 7954 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(66,a,7881,a,b,7935,a)]. 7955 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(285,a,7884,a,b,7936,a),flip(a)]. 7956 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(124,a,7936,a(flip),b,5125,a(flip)),flip(a)]. 7957 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(7936(a,1),7686(a,1,1))]. 7958 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(66,a,7884,a,b,7955,a)]. 7960 K(x,K(x * y,z)) = K(x,K(y,z)). [para(14(a,1),7958(a,1,2,1)),flip(a)]. 7961 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5319(a,1),7958(a,2,2))]. 7962 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(66,a,7859,a,b,7960,a)]. 7963 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(66,a,7881,a,b,7951,a)]. 7964 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(7963(a,2),5603(a,2,2))]. 7967 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7693(a,1),7868(a,1,1,2)),flip(a)]. 7968 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(285,a,7681,a,b,7872,a),flip(a)]. 7971 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7761(a,1),7906(a,1,2,2))]. 7973 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(66,a,7881,a,b,7924,a)]. 7974 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(66,a,7958,a(flip),b,7924,a),flip(a)]. 7975 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(7933(a,1),7868(a,1,1))]. 7976 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(6394(a,1),7941(a,1,2))]. 7977 (x * K(y,z)) / x = T(K(y,z),x). [hyper(224,a,7945,a(flip),b,3955,a(flip)),flip(a)]. 7978 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7523(a,2),7945(a,1,1))]. 7979 T(K(x,y),z) * z = z * K(x,y). [hyper(136,a,7977,a)]. 7980 T(T(K(x,y),z),z) = K(x,y). [para(7977(a,1),208(a,1,1))]. 7981 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7977(a,1),588(a,1,1,1))]. 7982 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7977(a,1),594(a,1,1,1))]. 7984 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6742,a,7980,a),flip(a)]. 7985 T(K(x,y \ z),z) = K(x,z / y). [hyper(43,a,6406,a,b,7980,a),flip(a)]. 7986 T(K(x,T(y,z)),z) = K(x,y). [hyper(43,a,7681,a(flip),b,7980,a),flip(a)]. 7987 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(7980(a,1),52(a,1)),flip(a)]. 7988 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7980(a,1),257(a,1,2,2,1))]. 7989 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7656,a,7986,a)]. 7990 K(T(x,y),T(z,y)) = K(x,z). [hyper(66,a,7760,a,b,7986,a)]. 7991 K(x,T(T(y,z),z)) = K(x,y). [hyper(66,a,7681,a,b,7986,a)]. 7994 K(x \ y,T(z,y)) = K(y / x,z). [hyper(66,a,6460,a(flip),b,7986,a)]. 7995 K(x,T(y \ z,z)) = K(x,z / y). [hyper(43,a,6406,a,b,7986,a),flip(a)]. 7996 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(43,a,5150,a,b,7986,a)]. 7997 K(x,T(y,z)) * z = z * K(x,y). [hyper(124,a,7986,a(flip),b,27,a(flip)),flip(a)]. 7998 T(K(x,y \ z),y) = K(x,z / y). [para(118(a,1),7986(a,1,1,2))]. 7999 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7986(a,1),227(a,1,2))]. 8000 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7986(a,1),223(a,1,2,1)),flip(a)]. 8001 T(K(x \ y,z),x) = K(y / x,z). [para(7774(a,1),7986(a,1,1))]. 8002 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7986(a,1),7767(a,1,1)),flip(a)]. 8003 K(T(x,y),z \ y) = K(x,y / z). [hyper(7708,a,7990,a)]. 8004 x * K(T(x,y),T(z,y)) = T(x,z). [hyper(124,a,7990,a,b,5125,a(flip))]. 8006 K(x,T(y,z)) \ z = z * K(y,x). [hyper(124,a,7990,a(flip),b,7679,a),flip(a)]. 8007 K(T(T(x,y),z),T(u,y)) = K(T(x,z),u). [para(28(a,1),7990(a,1,1))]. 8008 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(28(a,1),7990(a,1,2))]. 8009 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(30(a,2),7990(a,1,1))]. 8010 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(30(a,2),7990(a,1,2))]. 8011 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(32(a,2),7990(a,1,1))]. 8012 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(32(a,2),7990(a,1,2))]. 8013 K(x \ y,T(z,x)) = K(y / x,z). [para(118(a,1),7990(a,1,1))]. 8014 K(T(x,y),y \ z) = K(x,z / y). [para(118(a,1),7990(a,1,2))]. 8015 K((x * y) / x,z) = K(y,T(z,x)). [para(208(a,1),7990(a,1,1)),flip(a)]. 8016 K(x,(y * z) / y) = K(T(x,y),z). [para(208(a,1),7990(a,1,2)),flip(a)]. 8017 K(x / (x / y),z) = K(y,T(z,x / y)). [para(230(a,1),7990(a,1,1)),flip(a)]. 8018 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(231(a,1),7990(a,1,1))]. 8019 K(R(x \ y,z,u),T(w,x)) = K(R(y / x,z,u),w). [para(233(a,1),7990(a,1,1))]. 8020 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(713(a,2),7990(a,1,2)),flip(a)]. 8021 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(981(a,1),7990(a,1,2))]. 8022 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(1225(a,1),7990(a,1,1)),flip(a)]. 8023 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3991(a,1),7990(a,1,1))]. 8024 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4200(a,1),7990(a,1,2))]. 8025 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(4114(a,1),7990(a,1,2)),flip(a)]. 8026 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4202(a,1),7990(a,1,1)),flip(a)]. 8027 K(x * K(y,x),z) = K(x,T(z,y)). [para(5150(a,1),7990(a,1,1)),flip(a)]. 8028 K(x,y * K(z,y)) = K(T(x,z),y). [para(5150(a,1),7990(a,1,2)),flip(a)]. 8029 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5240(a,1),7990(a,1,1)),flip(a)]. 8030 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5240(a,1),7990(a,1,2)),flip(a)]. 8031 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7990(a,1),5594(a,1,1)),flip(a)]. 8032 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(7990(a,1),5721(a,1,1,1,2))]. 8033 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),6261(a,1,1))]. 8034 R(x,K(y,z),T(y,u)) = x. [para(7990(a,1),6312(a,1,2))]. 8035 K(T(x,y),z) * y = y * K(x,z). [para(7990(a,1),7682(a,1,2)),flip(a)]. 8037 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(8034(a,1),5759(a,1,1)),flip(a)]. 8038 K(x,T(y \ z,y)) = K(x,z / y). [para(118(a,1),7991(a,1,2,1))]. 8040 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(757(a,2),7991(a,1,2))]. 8041 K(x,y \ z) * z = z * K(x,z / y). [para(6406(a,1),7979(a,1,1))]. 8044 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(7985(a,2),6100(a,1,1))]. 8045 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(66,a,7695,a(flip),b,7994,a)]. 8046 K(x / (x / y),z) = K(y,T(z,x)). [hyper(66,a,626,a(flip),b,7994,a),flip(a)]. 8048 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7626(a,1),7994(a,1,2))]. 8049 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7994(a,1),7708(a,1))]. 8051 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5630,a,7997,a)]. 8052 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(123,a,7997,a(flip),b,5153,a)]. 8053 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7997(a,1),589(a,1,2,1)),flip(a)]. 8054 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7997(a,1),5537(a,1,1))]. 8055 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7997(a,1),5463(a,1,1,3)),flip(a)]. 8056 T(x,y * K(x,z)) = T(x,y). [para(7997(a,1),7626(a,1,2))]. 8058 K(x,y * K(x,z)) = x \ T(x,y). [hyper(122,a,8056,a(flip),b,5130,a(flip)),flip(a)]. 8061 T(x,y * T(x,z)) = T(x,y * x). [para(6322(a,1),8056(a,1,2))]. 8062 T(x,y * K(z,x)) = T(x,y). [para(7392(a,1),8056(a,1,2)),flip(a)]. 8063 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(8062(a,1),4932(a,2,1,2))]. 8064 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8062(a,1),5178(a,1,2,1)),flip(a)]. 8065 T(K(x,y \ z),z) = T(K(x,y \ z),y). [hyper(285,a,7985,a,b,7998,a)]. 8067 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(285,a,5830,a,b,8001,a),flip(a)]. 8069 K(x / y,y / z) != u | K(y \ x,z \ y) = u. [para(8001(a,1),6549(a,1))]. 8071 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8001(a,1),7704(a,1,2))]. 8073 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),(x \ z) / u). [hyper(66,a,7799,a(flip),b,8003,a)]. 8074 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(66,a,7795,a(flip),b,8003,a)]. 8075 K(T(x,y),z \ (x \ y)) = K(x,(x \ y) / z). [hyper(66,a,7792,a(flip),b,8003,a)]. 8076 K(x,y / (y / z)) = K(T(x,y),z). [para(90(a,1),8003(a,1,2)),flip(a)]. 8077 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(7215(a,1),8003(a,1,1))]. 8078 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(208(a,1),8004(a,1,2,1))]. 8079 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5252(a,1),8004(a,1,2,2)),flip(a)]. 8080 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(138,a,8006,a)]. 8082 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(66,a,7742,a(flip),b,8013,a),flip(a)]. 8083 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(19(a,2),8013(a,1,1)),flip(a)]. 8084 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(28(a,1),8013(a,1,2))]. 8085 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4200(a,1),8013(a,1,2)),flip(a)]. 8086 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7630(a,1),8013(a,1,2))]. 8087 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8056(a,1),8013(a,1,2))]. 8088 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(66,a,7792,a(flip),b,8014,a)]. 8089 K(L(T(x,y),z,u),y \ w) = K(L(x,z,u),w / y). [para(30(a,2),8014(a,1,1))]. 8090 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [para(32(a,2),8014(a,1,1))]. 8092 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4118(a,1),8014(a,1,1))]. 8093 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8062(a,1),8014(a,1,1))]. 8094 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(66,a,5805,a,b,8015,a)]. 8095 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(66,a,5803,a,b,8015,a)]. 8096 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [hyper(66,a,6628,a(flip),b,8015,a)]. 8097 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(745(a,1),8015(a,1,1))]. 8098 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3965(a,1),8015(a,1,1))]. 8099 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3994(a,1),8015(a,1,1))]. 8100 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(5388(a,2),8015(a,1,1))]. 8101 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8015(a,1),5953(a,1,1))]. 8102 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(66,a,5424,a,b,8016,a)]. 8103 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(783(a,2),8016(a,1,2))]. 8104 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(8016(a,1),5226(a,1,2))]. 8105 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6516,a,b,8027,a)]. 8106 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(66,a,5606,a,b,8027,a)]. 8107 T(K(x * K(y,x),z \ 1),u) = K(x,T(T(z,u) \ 1,y)). [hyper(66,a,6007,a(flip),b,8027,a)]. 8108 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8027(a,1),5721(a,1,1,1,2)),flip(a)]. 8109 K(T(x,y),T(z,y * L(x,u,w))) = K(R(x,y,L(x,u,w)),z). [para(6829(a,1),8027(a,1,1)),flip(a)]. 8110 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7098(a,1),8027(a,1,1)),flip(a)]. 8111 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7761(a,1),8027(a,1,1,2))]. 8112 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7773(a,1),8027(a,1,1,2)),flip(a)]. 8114 L(K(x \ 1,y * K(z,y)),u,w) = K(T(L(x,u,w) \ 1,z),y). [hyper(66,a,5977,a,b,8028,a)]. 8115 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5085(a,2),8028(a,1,2,2))]. 8116 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5785(a,2),8028(a,1,2,2))]. 8117 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8028(a,1),5793(a,1,2,2)),flip(a)]. 8118 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5838(a,2),8028(a,1,2,2))]. 8119 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8028(a,1),5746(a,1,2,1))]. 8120 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7797(a,1),8035(a,1,1))]. 8122 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(28(a,1),8046(a,2,2))]. 8123 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8046(a,1),7031(a,1,1)),flip(a)]. 8124 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7649(a,1),8046(a,1,1))]. 8125 K(x,y * K(x,z)) = K(x,y). [hyper(285,a,5125,a,b,8058,a),flip(a)]. 8126 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8058(a,2),5208(a,1))]. 8128 K(x,y * T(x,z)) = K(x,y * x). [para(6322(a,1),8125(a,1,2))]. 8130 K(x \ y,z * (y / x)) = K(x \ y,z * (x \ y)). [para(6585(a,1),8125(a,1,2)),flip(a)]. 8131 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6587(a,1),8125(a,1,2)),flip(a)]. 8133 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8125(a,1),6328(a,1,1)),flip(a)]. 8134 K(x,y * K(z,x)) = K(x,y). [para(7392(a,1),8125(a,1,2)),flip(a)]. 8135 K(x,y / K(z,x)) = K(x,y). [para(7396(a,2),8125(a,1,2))]. 8136 K(x,y * T(z,x)) = K(x,y * z). [para(7402(a,1),8125(a,1,2)),flip(a)]. 8137 K(x,K(y,x) \ z) = K(x,z). [para(7680(a,1),8125(a,1,2))]. 8138 K(x,K(x,y) * z) = K(x,z). [para(7682(a,1),8125(a,1,2))]. 8139 K(x,T(y,x) \ z) = K(x,y \ z). [para(7736(a,1),8125(a,1,2))]. 8140 K(x * K(y,z),z) = 1 / K(z,x). [para(8134(a,1),5344(a,1,2)),flip(a)]. 8141 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(8134(a,1),5387(a,1,1,2))]. 8142 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(8134(a,1),6105(a,1,1))]. 8143 K(x,y \ T(z,x)) = K(x,y \ z). [para(5818(a,1),8134(a,1,2))]. 8146 K(x,K(x,y) \ z) = K(x,z). [para(7765(a,1),8134(a,1,2))]. 8147 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(66,a,5707,a(flip),b,8135,a),flip(a)]. 8148 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(5981(a,1),8135(a,1,2,2))]. 8149 K(x,T(x,y) * z) = K(x,x * z). [para(5534(a,1),8137(a,1,2))]. 8150 K(x,T(x,y) \ z) = K(x,x \ z). [para(5585(a,1),8137(a,1,2)),flip(a)]. 8151 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8137(a,1),7872(a,1,2,2)),flip(a)]. 8152 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(8138(a,1),3185(a,1,2))]. 8153 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(5517(a,2),8138(a,1,2))]. 8154 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5854(a,1),8138(a,1,2)),flip(a)]. 8155 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6094(a,1),8138(a,1,2,1))]. 8156 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(8138(a,1),7860(a,1,1)),flip(a)]. 8157 K(x,K(x,y) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,8146,a),flip(a)]. 8159 T(x,y * T(x,z)) = T(x,x * y). [hyper(285,a,4182,a(flip),b,8061,a),flip(a)]. 8160 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(8061(a,1),7639(a,1,2,2))]. 8161 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(8061(a,1),7994(a,1,2))]. 8162 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(118(a,1),8128(a,1,2,2)),flip(a)]. 8163 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(8128(a,1),7889(a,1,1,2)),flip(a)]. 8164 K(x,(x \ T(y * x,x \ 1)) \ z) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(2172(a,1),8139(a,1,2,1))]. 8165 K(x * K(y,z),z) = K(x,z). [hyper(285,a,5344,a(flip),b,8140,a),flip(a)]. 8167 K(x * T(y,z),z) = K(x * y,z). [para(1270(a,1),8165(a,1,1))]. 8170 K(x \ T(y,z),z) = K(x \ y,z). [para(5818(a,1),8165(a,1,1))]. 8172 K(x / (y / z),z) = K(x / (z \ y),z). [para(6533(a,1),8165(a,1,1))]. 8173 K(x * K(y,z),y) = K(x,y). [para(7392(a,1),8165(a,1,1)),flip(a)]. 8174 K(x * T(y,z),y) = K(x * y,y). [para(7402(a,1),8165(a,1,1)),flip(a)]. 8175 K(x * K(y,T(z,u)),z) = K(x,z). [para(7687(a,1),8165(a,1,1,2))]. 8176 K(K(x,y) * z,x) = K(z,x). [para(7723(a,1),8165(a,1,1)),flip(a)]. 8177 K(K(x,y) * z,y) = K(z,y). [para(7756(a,1),8165(a,1,1))]. 8178 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7764(a,1),8165(a,1,1,2))]. 8179 K(K(x,y) \ z,x) = K(z,x). [para(7765(a,1),8165(a,1,1))]. 8180 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5949(a,1),8173(a,1,1,2))]. 8183 K((x / y) * z,y) = K((y \ x) * z,y). [para(6565(a,1),8173(a,1,1))]. 8185 K(T(x,y) * z,x) = K(x * z,x). [para(5219(a,1),8176(a,1,1))]. 8186 K(((x * y) / x) \ z,y) = K(y \ z,y). [para(5517(a,2),8176(a,1,1))]. 8187 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(5854(a,1),8176(a,1,1)),flip(a)]. 8188 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6094(a,1),8176(a,1,1,1))]. 8189 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6254(a,1),8176(a,1,1)),flip(a)]. 8190 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8176(a,1),6374(a,1,1))]. 8192 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7776(a,1),8177(a,1,1,1))]. 8194 K(x,y / T(x,z)) = K(x,x \ y). [hyper(66,a,7717,a,b,8150,a)]. 8195 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(118(a,1),8150(a,1,2,1)),flip(a)]. 8196 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(8150(a,2),7936(a,1,2))]. 8198 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6764(a,1),8167(a,1,1)),flip(a)]. 8199 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(27(a,1),8170(a,1,1,2))]. 8200 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(118(a,1),8170(a,1,1,2)),flip(a)]. 8202 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6320(a,1),8175(a,1,1))]. 8203 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [hyper(124,a,8185,a(flip),b,5125,a(flip))]. 8206 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(8194(a,1),5550(a,2,1))]. 8209 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(7888(a,1),8126(a,1,2))]. 8210 K(x,y * (z * K(u,x))) = K(x,y * z). [para(178(a,1),8148(a,1,2)),flip(a)]. 8211 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(112(a,1),8155(a,1,2))]. 8212 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7014(a,1),8155(a,1,2,1))]. 8215 K(x * (y * K(z,u)),u) = K(x * y,u). [para(7558(a,1),8180(a,1,1)),flip(a)]. 8216 K((K(x,y) * z) * u,x) = K(z * u,x). [para(112(a,1),8188(a,1,1))]. 8217 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7990(a,1),8188(a,1,1,1,1))]. 8221 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(7681(a,1),8209(a,1))]. 8222 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5146(a,1),8212(a,1,2))]. 8223 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5516(a,1),8212(a,1,2)),flip(a)]. 8224 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5854(a,1),8212(a,1,2)),flip(a)]. 8225 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7940(a,1),8221(a,1))]. 8226 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(285,a,5130,a,b,7956,a),flip(a)]. 8227 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7956(a,2),5180(a,1))]. 8228 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(66,a,6590,a(flip),b,8226,a)]. 8229 T(x,K(y,y * z)) = T(x,K(y,z)). [para(14(a,1),8226(a,1,2,2)),flip(a)]. 8230 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8225,a,8229,a),flip(a)]. 8231 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(285,a,2227,a(flip),b,8229,a),flip(a)]. 8232 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(66,a,7943,a(flip),b,8229,a),flip(a)]. 8233 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(57,a,8231,a)]. 8234 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7968(a,1),46(a,1))]. 8235 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(285,a,7958,a(flip),b,7973,a),flip(a)]. 8236 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(66,a,6080,a,b,7984,a)]. 8237 K((x \ y) \ K(x \ y,z),u) = T(K(y \ x,u),z). [para(6468(a,1),7984(a,1,1)),flip(a)]. 8238 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7996(a,1),5392(a,1,1)),flip(a)]. 8239 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7962(a,1),7996(a,1,2))]. 8240 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(285,a,5743,a,b,8002,a),flip(a)]. 8241 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8002(a,2),5744(a,1))]. 8243 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(66,a,8046,a(flip),b,8017,a),flip(a)]. 8244 K(x,T(y,z * x)) = K(x,T(y,z)). [para(16(a,1),8243(a,1,2,2)),flip(a)]. 8245 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(177(a,1),8243(a,1,2,2)),flip(a)]. 8246 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4301(a,1),8243(a,1,2))]. 8247 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4303(a,1),8243(a,1,2))]. 8248 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(8243(a,1),7924(a,2,2))]. 8249 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(8244(a,1),7682(a,1,2))]. 8250 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8244(a,1),7997(a,1,1))]. 8251 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(285,a,8076,a(flip),b,8024,a),flip(a)]. 8254 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(27(a,2),8067(a,1,1,1)),flip(a)]. 8256 (((x * y) / x) \ z) * K(y,y \ z) = (y * (((x * y) / x) \ z)) / y. [hyper(124,a,8153,a(flip),b,5167,a(flip))]. 8258 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(285,a,7860,a(flip),b,8156,a),flip(a)]. 8259 K(x \ (y * L(x,z,u)),x) = K((x \ y) * L(x,z,u),x). [hyper(66,a,5330,a,b,8183,a)]. 8260 (((x * y) / x) \ z) \ K(y \ z,y) = ((y * (((x * y) / x) \ z)) / y) \ 1. [hyper(122,a,8186,a(flip),b,5412,a(flip))]. 8262 K(x * ((y * z) / y),z) = K(x * z,z). [para(5192(a,2),8189(a,1,1,2))]. 8263 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5360(a,1),8189(a,1,1,2)),flip(a)]. 8264 K((x / (x / y)) * z,y) = K(y * z,y). [para(5098(a,2),8189(a,1,1))]. 8265 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5709(a,1),8189(a,1,1,2))]. 8266 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5824(a,1),8189(a,1,1,2))]. 8267 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(66,a,7218,a(flip),b,8192,a)]. 8268 (K(x,y) * z) * K(z,T(y,u)) = T(K(x,y) * z,T(y,u)). [hyper(124,a,8192,a(flip),b,5125,a(flip))]. 8269 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5158(a,1),8192(a,1,1)),flip(a)]. 8270 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5516(a,1),8192(a,1,1)),flip(a)]. 8271 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8200(a,1),5803(a,1,1,1,2))]. 8272 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8202(a,1),5720(a,1,1,2))]. 8273 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(1283(a,1),8210(a,1,2,2))]. 8274 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5981(a,1),8210(a,1,2,2,2))]. 8275 K(x,y * (z * K(x,u))) = K(x,y * z). [para(7392(a,1),8210(a,1,2,2)),flip(a)]. 8276 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7723(a,1),8210(a,1,2,2)),flip(a)]. 8277 K(x,(y * x) * z) = K(x,(x * y) * z). [para(5146(a,1),8211(a,1,2,1)),flip(a)]. 8279 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6319(a,1),8215(a,1,1,2)),flip(a)]. 8280 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6626(a,2),8233(a,1,1))]. 8281 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5413(a,2),8236(a,2,1)),flip(a)]. 8282 K(T(x,y) \ 1,z) * K(x \ K(x,y),K(x,y) \ x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8236(a,2),5541(a,1,1))]. 8283 T(x,T(T(y,z),z)) = T(x,y). [hyper(37,a,7825,a,b,8240,a(flip))]. 8284 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(8240(a,1),221(a,1,2))]. 8285 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8240(a,2),217(a,1,1,1))]. 8286 T(x,K(y,x) * T(y,z)) = T(x,T(y,T(z,x))). [para(8240(a,1),4122(a,1,2))]. 8287 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(8240(a,2),5744(a,1))]. 8288 T(x,(y * z) / y) = T(x,T(z,y)). [para(208(a,1),8283(a,1,2,1)),flip(a)]. 8289 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5150(a,1),8283(a,1,2,1)),flip(a)]. 8290 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(66,a,7110,a(flip),b,8289,a),flip(a)]. 8292 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(66,a,7881,a,b,8258,a)]. 8293 K(x * ((y * z) / y),z) = K(z * x,z). [hyper(285,a,5785,a(flip),b,8262,a),flip(a)]. 8296 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8263(a,1),5805(a,1,2,1,2)),flip(a)]. 8299 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5949(a,1),8275(a,1,2,2,2))]. 8300 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6254(a,1),8276(a,1,2,2)),flip(a)]. 8301 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8280(a,1),7945(a,1,1))]. 8302 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(285,a,7908,a,b,8292,a),flip(a)]. 8303 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(285,a,7881,a,b,8292,a),flip(a)]. 8304 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5360(a,1),8302(a,1,1)),flip(a)]. 8305 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5360(a,1),8303(a,1,1)),flip(a)]. 8306 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8303(a,1),6353(a,1,3))]. 8307 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7997(a,1),8303(a,1,1))]. 8308 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6900,a,8306,a)]. 8309 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8306(a,1),478(a,1,1)),flip(a)]. 8310 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(285,a,7884,a,b,8304,a),flip(a)]. 8311 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7687(a,1),8304(a,1,2,2,1))]. 8312 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(285,a,8292,a(flip),b,8305,a),flip(a)]. 8313 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5737(a,1),8310(a,1,2,2))]. 8314 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3477,a,7863,a),flip(a)]. 8315 T(x,K(y,z)) * u != x * w | K(y,K(x,z)) * u = w. [para(7892(a,1),46(a,1))]. 8316 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7396(a,2),7909(a,1,2))]. 8317 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7961(a,1),7909(a,1,1))]. 8318 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(6427(a,1),7916(a,1,2))]. 8319 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5319(a,1),7919(a,1,1,2))]. 8322 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7944(a,1),7761(a,1,1)),flip(a)]. 8324 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(285,a,7973,a,b,7974,a),flip(a)]. 8325 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(66,a,6651,a(flip),b,8009,a)]. 8326 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1521(a,1),8009(a,1,1))]. 8327 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6652,a,8010,a)]. 8328 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(115(a,1),8010(a,1,2,1))]. 8329 K(T(x,y),T(z,R(z,u,w) * y)) = K(x,L(z,y,R(z,u,w))). [para(1509(a,1),8010(a,1,2))]. 8330 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1521(a,1),8010(a,1,2))]. 8331 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(32(a,2),8328(a,1,1))]. 8332 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4200(a,1),8011(a,1,1,1)),flip(a)]. 8333 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4275(a,1),8011(a,1,1))]. 8334 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5149(a,1),8023(a,1,2,2))]. 8335 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(66,a,8016,a(flip),b,8025,a)]. 8336 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(32(a,2),8335(a,1,1))]. 8337 K(T(x,y),T(z,y * z)) = K(x,L(z,y,z)). [para(5400(a,1),8030(a,1,2)),flip(a)]. 8338 K((x * y) \ z,L(y,x,y)) = K(T(z / (x * y),x),y). [hyper(66,a,8018,a(flip),b,8337,a),flip(a)]. 8339 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8031(a,1),425(a,1,1,2)),flip(a)]. 8340 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8031(a,1),7990(a,1,1))]. 8341 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8028(a,1),8031(a,1,1,2))]. 8342 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5150(a,1),8040(a,1,2,1,1)),flip(a)]. 8343 (K(x \ 1,y) \ z) * K(z / K(x \ 1,y),x) = T(K(x \ 1,y) \ z,x). [para(1407(a,1),8071(a,2,2))]. 8344 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(66,a,7770,a(flip),b,8084,a),flip(a)]. 8345 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6912(a,1),8097(a,1,1))]. 8346 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [hyper(124,a,8099,a(flip),b,5072,a),flip(a)]. 8347 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(66,a,8028,a(flip),b,8116,a)]. 8348 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(32(a,2),8347(a,1,1))]. 8349 K(T(x / (x / y),z),u * K(R(u,w,v5) * x,u)) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(7099(a,1),8124(a,2,2))]. 8350 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1270(a,1),8178(a,1,1))]. 8351 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(5082(a,1),8178(a,1,1)),flip(a)]. 8353 K((x \ 1) * y,T(z,y)) = K((x \ 1) * y,T(z,x)). [para(3029(a,1),8247(a,1,2)),flip(a)]. 8354 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(285,a,7881,a,b,8248,a),flip(a)]. 8355 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8249(a,2),6136(a,1,2,1))]. 8356 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7681(a,1),8249(a,1,2))]. 8357 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(285,a,6322,a(flip),b,8250,a),flip(a)]. 8358 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5775,a,8357,a)]. 8359 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(123,a,8357,a(flip),b,5518,a(flip))]. 8360 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7681(a,1),8357(a,1,1))]. 8361 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7696(a,1),8357(a,1,1))]. 8362 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(123,a,280,a(flip),b,8358,a)]. 8363 T(x,T(y,x \ y)) = T(x,y). [hyper(38,a,3997,a,b,8358,a),flip(a)]. 8364 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8358(a,1),294(a,1,1)),flip(b)]. 8366 T(x,T(x * y,y)) = T(x,x * y). [para(14(a,1),8363(a,1,2,2))]. 8367 T(x / y,T(x,y)) = T(x / y,x). [para(90(a,1),8363(a,1,2,2))]. 8368 T(x \ y,T(y,x)) = T(x \ y,y). [para(3976(a,1),8363(a,1,2))]. 8369 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [para(5149(a,1),8367(a,1,1))]. 8370 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(8368(a,1),5179(a,1,2,1))]. 8371 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8368(a,1),5816(a,1,2,1,2)),flip(a)]. 8372 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(118(a,1),8359(a,1,2))]. 8373 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1705(a,1),8359(a,1,1,2))]. 8374 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7630(a,1),8359(a,1,1,2)),flip(a)]. 8375 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8056(a,1),8359(a,1,1,2)),flip(a)]. 8376 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(66,a,4512,a(flip),b,8360,a),flip(a)]. 8377 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(66,a,7596,a(flip),b,8254,a),flip(a)]. 8378 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(7279(a,1),8266(a,1,1,2))]. 8379 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8269(a,1),5722(a,1,2,1,2)),flip(a)]. 8381 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(7290(a,1),8273(a,1,2,2))]. 8382 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4085(a,1),8279(a,1,1,2)),flip(a)]. 8383 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(791(a,1),8281(a,1,1,1))]. 8384 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(8002(a,2),8284(a,1,2))]. 8385 T(x,T(y,T(z,x))) = T(x,T(y,z)). [hyper(66,a,7628,a(flip),b,8286,a),flip(a)]. 8387 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(118(a,1),8385(a,1,2,2)),flip(a)]. 8388 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8308(a,2),5459(a,1,1))]. 8389 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8311(a,1),7917(a,1,1))]. 8390 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8311(a,1),7918(a,1,1))]. 8391 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(285,a,8013,a(flip),b,8344,a),flip(a)]. 8392 T(K(x,y),z * x) = T(K(x,y),z). [hyper(225,a,8356,a)]. 8393 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(285,a,3213,a(flip),b,8392,a),flip(a)]. 8394 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(224,a,8376,a,b,5518,a(flip))]. 8396 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8230(a,1),8376(a,1,1)),flip(a)]. 8397 T(K(x,y),T(z,x)) = T(K(x,y),z). [para(2227(a,1),8394(a,1,1))]. 8398 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7342(a,1),8394(a,1,1)),flip(a)]. 8399 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7344(a,1),8394(a,1,1))]. 8400 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5726,a,8398,a)]. 8404 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7940(a,1),8398(a,1,1))]. 8405 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(118(a,1),8399(a,1,2)),flip(a)]. 8406 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(7953,a,8400,a)]. 8407 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8400(a,1),7693(a,1,2))]. 8409 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(66,a,5240,a(flip),b,8404,a),flip(a)]. 8410 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [hyper(66,a,231,a(flip),b,8404,a),flip(a)]. 8411 x \ T(T(x,y),K(y,z)) = T(K(x,y),z). [hyper(122,a,8406,a,b,7704,a)]. 8412 K(x,T(T(y,z) \ 1,K(z,u))) = K(x,T(y,T(z,u)) \ 1). [para(8406(a,1),7692(a,2,2,1))]. 8413 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(118(a,1),8407(a,1,2,2)),flip(a)]. 8414 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(714(a,1),8407(a,1,2,2))]. 8415 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5391(a,1),8407(a,1,2,2))]. 8416 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(8405(a,1),7979(a,1,1))]. 8418 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(1 / x,y),z)) * x. [para(8411(a,1),919(a,1,1,2)),flip(a)]. 8419 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(66,a,8243,a(flip),b,8413,a),flip(a)]. 8420 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(66,a,8244,a,b,8419,a)]. 8421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(14(a,1),8419(a,1,2,2)),flip(a)]. 8422 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(8419(a,1),7864(a,1,1,2))]. 8423 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(118(a,1),8421(a,1,2)),flip(a)]. 8424 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4922(a,1),8420(a,1,2,2))]. 8425 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(5150(a,1),8384(a,1,2,1)),flip(a)]. 8426 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5346(a,1),7783(a,1))]. 8428 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7760(a,1),8426(a,1))]. 8429 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7762(a,2),8426(a,1))]. 8430 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8016(a,2),8426(a,1))]. 8434 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6439(a,2),8428(a,1))]. 8435 K(x \ y,z) != u | K(y / x,T(z,y)) = u. [para(6460(a,1),8428(a,1))]. 8438 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7924(a,2),7873(a,1,2))]. 8446 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(7927,a,6153,a)]. 8448 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,8112,a),flip(a)]. 8449 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(118(a,1),8448(a,1,2,2)),flip(a)]. 8450 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(66,a,6653,a(flip),b,8190,a)]. 8451 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8190(a,1),3653(a,1)),flip(b)]. 8452 K(x * y,x) != z | K(y * x,x) = z. [para(5146(a,1),8451(a,1,1))]. 8455 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(6572(a,2),8452(a,1))]. 8456 K(L(x,K(y,z),u),y) = K(x,y). [hyper(285,a,8176,a(flip),b,8450,a),flip(a)]. 8458 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8456(a,1,1))]. 8459 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7014(a,1),8217(a,1,1,1))]. 8460 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(103(a,1),8274(a,1,2,2))]. 8461 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(32(a,2),7690(a,2,2))]. 8462 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2963(a,1),7725(a,1,2,2))]. 8463 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(66,a,7459,a,b,7728,a)]. 8464 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6760,a,7734,a),flip(a)]. 8465 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(445,a,7734,a)]. 8466 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(66,a,6661,a(flip),b,8465,a)]. 8467 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(66,a,7186,a,b,7755,a)]. 8468 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(7821(a,1),6628(a,2,2,1))]. 8469 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(285,a,5177,a(flip),b,7824,a),flip(a)]. 8470 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(8469(a,1),6808(a,1,1))]. 8471 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4833(a,1),7837(a,1,1))]. 8472 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5304,a,7839,a),flip(a)]. 8473 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(66,a,6597,a,b,8472,a)]. 8474 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(66,a,7758,a,b,8473,a)]. 8476 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(7958(a,1),7869(a,1,1))]. 8477 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7392(a,1),7871(a,1,1)),flip(a)]. 8478 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7875(a,2),5296(a,1,1))]. 8479 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6032(a,1),7876(a,1,1)),flip(a)]. 8481 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7924(a,2),7937(a,1,1))]. 8482 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(194,a,7939,a(flip)),flip(a)]. 8483 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(7154(a,1),8482(a,1,2))]. 8484 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(8483(a,1),7343(a,1,1)),flip(a)]. 8485 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(285,a,8308,a(flip),b,7947,a),flip(a)]. 8487 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(7860(a,2),7964(a,2,2))]. 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(285,a,7868,a(flip),b,7967,a),flip(a)]. 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(7341(a,1),8488(a,1,2))]. 8491 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4182(a,1),7971(a,1,2,2,2))]. 8493 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [hyper(285,a,7681,a,b,7975,a),flip(a)]. 8494 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,x \ y)). [para(5073(a,2),7976(a,1,2,2))]. 8495 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(123,a,7558,a(flip),b,7981,a),flip(a)]. 8496 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2963(a,1),7981(a,1,1))]. 8497 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(32(a,1),7982(a,1,1))]. 8498 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5727,a,7988,a)]. 8499 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(66,a,5240,a(flip),b,8498,a),flip(a)]. 8500 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [hyper(262,a,8000,a)]. 8501 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8056(a,1),8000(a,1,1,1,2))]. 8502 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(66,a,8098,a(flip),b,8022,a),flip(a)]. 8503 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8502(a,1),7682(a,1,2))]. 8504 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(66,a,8124,a(flip),b,8026,a),flip(a)]. 8505 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(14(a,1),8504(a,1,2,2)),flip(a)]. 8506 (x * K(y,z)) * u != x * (K(y,w) * T(y,z)) | T(y,w) = u. [para(8037(a,1),46(a,1)),flip(a)]. 8507 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,8063,a),flip(a)]. 8508 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6546,a,8078,a)]. 8509 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5452,a,8508,a)]. 8510 K(x,y) * T((y * x) / y,z) != u | T(x,T(z,y)) = u. [para(8508(a,1),5453(a,1,2)),flip(b)]. 8511 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(15(a,1),8509(a,1,2,1,1))]. 8512 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(638(a,1),8509(a,1,2))]. 8513 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5149(a,1),8509(a,1,2,1))]. 8514 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6594(a,1),8513(a,1,2)),flip(a)]. 8515 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(66,a,4981,a,b,8079,a)]. 8516 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(66,a,5830,a,b,8082,a)]. 8517 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(404(a,1),8085(a,1,1,2))]. 8518 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(115(a,1),8089(a,1,1,1)),flip(a)]. 8519 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4553(a,1),8090(a,1,2)),flip(a)]. 8520 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(124,a,8103,a(flip),b,5125,a(flip)),flip(a)]. 8522 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5149(a,2),8105(a,1,2,1))]. 8523 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6774,a,b,8106,a)]. 8524 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8117(a,1),5123(a,2,2))]. 8525 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(285,a,7872,a(flip),b,8151,a),flip(a)]. 8526 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(7929(a,1),8163(a,2,1))]. 8527 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(285,a,7917,a(flip),b,8526,a),flip(a)]. 8528 T(x,K(y,z * x)) = T(x,K(y,z)). [para(115(a,1),8527(a,1,2,2,2))]. 8529 T(x,K(y,x * z)) = T(x,K(y,z)). [para(116(a,1),8527(a,1,2,2))]. 8530 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(207(a,1),8527(a,1,2,2)),flip(a)]. 8531 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8528,a),flip(a)]. 8532 T(x,K(y,z / x)) = T(x,K(y,z)). [para(17(a,1),8528(a,1,2,2)),flip(a)]. 8533 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8528(a,1),7945(a,1,1))]. 8534 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8529,a),flip(a)]. 8536 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8530,a),flip(a)]. 8537 T(x,K(y,x \ z)) != u | T(x,K(z,y)) = u. [para(8530(a,2),7953(a,1))]. 8538 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7953,a,8531,a)]. 8539 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8531(a,1),7701(a,1,2))]. 8540 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8534(a,1),28(a,1,1)),flip(a)]. 8541 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(8536(a,2),7953(a,1))]. 8542 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(32(a,2),8539(a,1,2))]. 8543 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [hyper(124,a,8195,a(flip),b,5434,a)]. 8544 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(32(a,2),8223(a,1,2,1))]. 8545 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(998(a,1),8223(a,1,2)),flip(a)]. 8546 K((x \ y) \ K(x \ y,z),u) = K(y \ x,T(u,z)). [hyper(285,a,7681,a,b,8237,a),flip(a)]. 8547 K((x \ y) \ K(x \ y,z),u) != w | K(y \ x,T(u,z)) = w. [para(8237(a,2),8428(a,1))]. 8549 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(66,a,5676,a(flip),b,8301,a),flip(a)]. 8550 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(32(a,2),8336(a,2,1))]. 8551 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(66,a,7112,a,b,8342,a)]. 8552 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6593(a,1),8350(a,1,1)),flip(a)]. 8554 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3492,a,b,8361,a),flip(a)]. 8555 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8362(a,1),6359(a,1,1,1))]. 8556 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6321(a,1),8372(a,1,1))]. 8557 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8054,a,8556,a),flip(a)]. 8558 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(66,a,8387,a(flip),b,8557,a)]. 8559 T(x,T(y,z * x)) = T(x,T(y,z)). [para(16(a,1),8557(a,1,2,2)),flip(a)]. 8560 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(87(a,1),8557(a,1,2,2)),flip(a)]. 8561 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(118(a,1),8558(a,1,2)),flip(a)]. 8562 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6594(a,1),8558(a,1,2))]. 8563 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(8558(a,1),8407(a,1,2))]. 8564 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(118(a,1),8559(a,1,2)),flip(a)]. 8565 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(801(a,1),8559(a,1,2)),flip(a)]. 8566 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8560(a,1),8407(a,1,2))]. 8567 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(5150(a,1),8563(a,1,2,2)),flip(a)]. 8568 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(118(a,1),8566(a,1,2,2)),flip(a)]. 8569 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(285,a,8359,a(flip),b,8375,a),flip(a)]. 8570 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6587(a,1),8569(a,1,2,1)),flip(a)]. 8571 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7703(a,1),8416(a,1,1))]. 8572 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(285,a,7403,a(flip),b,8571,a),flip(a)]. 8573 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7681(a,2),8572(a,1,1))]. 8574 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(38,a,5242,a,b,8425,a)]. 8575 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(285,a,8179,a(flip),b,8458,a),flip(a)]. 8577 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7392(a,1),8575(a,1,1,1)),flip(a)]. 8578 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7702(a,1),8575(a,1,1,1)),flip(a)]. 8579 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),8575(a,1,1,1,2))]. 8580 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1403(a,1),8577(a,1,1,1,2))]. 8581 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(5981(a,1),8577(a,1,1,1,2))]. 8582 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8577(a,1),7399(a,1,1,2)),flip(a)]. 8583 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(66,a,6490,a(flip),b,8578,a)]. 8584 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(105(a,2),8578(a,1,1))]. 8585 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5949(a,1),8583(a,1,1,2))]. 8586 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8585(a,1),5804(a,1,1,1,2)),flip(a)]. 8587 K(x \ K(L(y,z,u),w),y) = K(x \ 1,y). [para(6653(a,1),8585(a,1,1,2))]. 8588 K(x \ K(L(y,z,u),w),T(y,v5)) = K(x \ 1,T(y,v5)). [para(8009(a,1),8587(a,1,1,2))]. 8589 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7704(a,1),8580(a,1,1,1))]. 8590 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(7558(a,1),8581(a,1,1,1)),flip(a)]. 8591 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7681(a,2),8461(a,1,1))]. 8592 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(21(a,1),8487(a,2,2,1))]. 8593 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(285,a,8525,a(flip),b,8489,a),flip(a)]. 8595 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7396(a,1),8593(a,1,2))]. 8596 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8595(a,1),8485(a,1,2))]. 8597 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(8410(a,1),8493(a,2,2))]. 8598 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(224,a,8497,a(flip),b,3968,a(flip))]. 8600 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(5818(a,1),8507(a,1,2))]. 8601 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(8511(a,1),8211(a,1,2,1))]. 8602 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5207,a,8515,a)]. 8603 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5839(a,1),8602(a,1,2,1)),flip(a)]. 8604 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(285,a,7399,a(flip),b,8582,a),flip(a)]. 8605 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8582(a,2),7411(a,1))]. 8607 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7723(a,1),8604(a,1,2,1)),flip(a)]. 8608 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7756(a,1),8604(a,1,2,1))]. 8609 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7776(a,1),8604(a,1,2,1,2))]. 8610 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [hyper(124,a,8607,a(flip),b,5125,a(flip)),flip(a)]. 8611 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(19(a,2),8607(a,1,2)),flip(a)]. 8612 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6254(a,1),8607(a,1,2,1)),flip(a)]. 8613 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(285,a,5130,a,b,8610,a),flip(a)]. 8615 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,8613,a),flip(a)]. 8616 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(5360(a,1),8613(a,1,2,1)),flip(a)]. 8617 K(x \ 1,T(y,z \ K(x,u))) = K(T(x,z \ 1) \ 1,y). [para(8615(a,1),7691(a,1,1,1)),flip(a)]. 8619 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6585(a,1),8605(a,1,2,1))]. 8620 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(96(a,1),8590(a,1,1,1,2)),flip(a)]. 8621 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(8590(a,1),5302(a,2,2,2))]. 8622 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(15(a,1),8591(a,1,2)),flip(a)]. 8623 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(702(a,1),8591(a,2,2))]. 8624 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5150(a,1),8591(a,1,1,2))]. 8626 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(285,a,6735,a(flip),b,8620,a),flip(a)]. 8627 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(285,a,352,a(flip),b,8622,a),flip(a)]. 8628 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(285,a,7681,a(flip),b,8627,a),flip(a)]. 8630 K(L(x,y,y \ 1) \ z,x) = K(x \ z,x). [hyper(285,a,5448,a(flip),b,7846,a),flip(a)]. 8631 K(x / L(y,z,z \ 1),y) = K(y \ x,y). [hyper(66,a,7804,a,b,8630,a)]. 8632 K(x \ (y * L(x,z,z \ 1)),x) = K(y,x). [para(16(a,1),8631(a,1,1)),flip(a)]. 8633 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7856(a,1),7053(a,1,1,2))]. 8635 K(L(x,y,z),K(u,x \ u)) = 1. [hyper(285,a,79,a(flip),b,7903,a),flip(a)]. 8637 K(x,K(L(y,z,u),y \ x)) = 1. [hyper(66,a,7881,a,b,8635,a)]. 8638 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3371(a,1),8044(a,1,1))]. 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(5149(a,1),8510(a,1,2,1))]. 8642 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7727(a,1),46(a,1)),flip(a)]. 8643 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(285,a,8544,a(flip),b,7812,a),flip(a)]. 8645 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(8574(a,1),7835(a,1,2))]. 8646 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(118(a,1),7854(a,1,1,1))]. 8647 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(8646(a,1),6855(a,1,1))]. 8648 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4664(a,2),8647(a,1,1,2))]. 8649 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(66,a,4298,a(flip),b,7855,a),flip(a)]. 8650 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(66,a,5868,a(flip),b,7857,a),flip(a)]. 8651 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5973(a,1),7870(a,1,1)),flip(a)]. 8652 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5973(a,1),7910(a,1,2)),flip(a)]. 8653 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(66,a,8651,a,b,8652,a)]. 8654 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7881(a,1),8653(a,1,1))]. 8655 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4066(a,1),8654(a,2,2))]. 8656 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6090(a,1),8654(a,2,2))]. 8657 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5981(a,1),7911(a,1,2)),flip(a)]. 8658 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [hyper(285,a,5130,a,b,7913,a)]. 8659 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(5986(a,1),7931(a,1,2))]. 8660 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(6327(a,2),8074(a,1,2,2))]. 8661 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(66,a,8579,a(flip),b,8087,a)]. 8663 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(66,a,8013,a(flip),b,8661,a),flip(a)]. 8664 K(x / (y * z),z) = K(x / (z * y),z). [para(96(a,1),8663(a,1,1,2)),flip(a)]. 8665 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7682(a,1),8663(a,1,1,2))]. 8666 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7702(a,1),8663(a,1,1,2)),flip(a)]. 8668 K(x / (y * (K(z,u) * w)),u) = K(x / (y * w),u). [para(6254(a,1),8665(a,1,1,2)),flip(a)]. 8669 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(8665(a,1),7032(a,1,1))]. 8670 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(8666(a,1),5302(a,2,2,2))]. 8671 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(5360(a,1),8668(a,1,1,2,2)),flip(a)]. 8672 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(285,a,5302,a,b,8670,a),flip(a)]. 8673 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(25(a,2),8672(a,1,2)),flip(a)]. 8674 T(x,y / ((x \ z) * x)) = T(x,y / z). [para(5101(a,1),8672(a,1,2,2))]. 8675 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5146(a,1),8672(a,1,2,2))]. 8676 T(x,y / ((x \ z) * x)) = x * K(x,y / z). [hyper(285,a,5130,a(flip),b,8674,a),flip(a)]. 8677 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(5207,a,8676,a)]. 8679 K(x,y / (z * x)) = K(x,y / (x * z)). [para(14(a,1),8677(a,1,2,2,1))]. 8680 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(404(a,1),8677(a,1,2,2,1))]. 8681 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(285,a,6932,a(flip),b,8679,a),flip(a)]. 8682 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(113(a,2),8679(a,2,2)),flip(a)]. 8683 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(17(a,1),8681(a,1,2,2,1)),flip(a)]. 8684 K(x,R(1 / y,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(7284(a,2),8681(a,1,2,2,1)),flip(a)]. 8685 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7299(a,1),8681(a,1,2,2,1))]. 8686 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(66,a,7157,a(flip),b,8683,a),flip(a)]. 8687 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(66,a,5341,a(flip),b,8682,a)]. 8688 K(x,R(x \ y,x,T(z,y))) = K(x,(z * y) / (T(z,y) * x)). [para(116(a,1),8687(a,2,2,1))]. 8689 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [hyper(66,a,7024,a(flip),b,8671,a),flip(a)]. 8690 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(16(a,1),8673(a,1,2)),flip(a)]. 8691 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(285,a,8062,a(flip),b,8690,a),flip(a)]. 8694 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(122,a,8691,a(flip),b,5130,a(flip)),flip(a)]. 8695 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(285,a,5125,a,b,8694,a),flip(a)]. 8696 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8695(a,1,2))]. 8697 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8695(a,1),6106(a,1,1))]. 8698 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(66,a,8609,a(flip),b,8093,a)]. 8700 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(66,a,8014,a(flip),b,8698,a),flip(a)]. 8701 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1270(a,1),8700(a,1,2,2))]. 8702 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5197(a,1),8700(a,1,2,2)),flip(a)]. 8703 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7723(a,1),8700(a,1,2,2)),flip(a)]. 8704 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(25(a,2),8703(a,1,2)),flip(a)]. 8705 K(x \ y,z / ((y / x) * u)) = K(x \ y,z / ((x \ y) * u)). [para(5749(a,1),8703(a,1,2,2)),flip(a)]. 8706 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(16(a,1),8704(a,1,2)),flip(a)]. 8707 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(285,a,8125,a(flip),b,8706,a),flip(a)]. 8710 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8707(a,1,2))]. 8711 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5149(a,1),8102(a,1,1,1,2))]. 8712 K(x,T(T(y,z) \ 1,u)) = T(K(x,T(y \ 1,u)),z). [para(8027(a,1),8107(a,1,1)),flip(a)]. 8713 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(66,a,8115,a(flip),b,8118,a),flip(a)]. 8715 K((x \ y) * L(x,z,z \ 1),x) = K(y,x). [hyper(66,a,8632,a(flip),b,8259,a),flip(a)]. 8716 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(285,a,3462,a(flip),b,8267,a),flip(a)]. 8718 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [hyper(124,a,8716,a(flip),b,97,a),flip(a)]. 8719 T(K(x,y) * z,T(y,u)) = K(x,y) * T(z,T(y,u)). [hyper(6375,a,8268,a),flip(a)]. 8721 K(T(K(x,y) * z,T(y,u)) \ 1,w) = K(T(z,T(y,u)) \ K(y,x),w). [para(8719(a,2),6490(a,1,1,1))]. 8722 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(8400(a,1),8319(a,2,1))]. 8723 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(285,a,8459,a(flip),b,8322,a),flip(a)]. 8724 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7990(a,1),8325(a,1,1)),flip(a)]. 8725 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(66,a,6655,a(flip),b,8724,a)]. 8726 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(179(a,1),8724(a,1,1,2)),flip(a)]. 8727 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(249(a,1),8724(a,1,1,2))]. 8730 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6403,a,8726,a),flip(a)]. 8731 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(66,a,6648,a(flip),b,8726,a),flip(a)]. 8732 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(66,a,6636,a(flip),b,8726,a),flip(a)]. 8733 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5124(a,2),8726(a,1,2)),flip(a)]. 8734 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7990(a,1),8327(a,1,1)),flip(a)]. 8735 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(179(a,1),8734(a,1,2,2)),flip(a)]. 8736 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6331(a,1),8734(a,1,2,2)),flip(a)]. 8738 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6389,a,8735,a),flip(a)]. 8739 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(124,a,8735,a(flip),b,273,a)]. 8740 T(x,y * (z * x)) = T(x,y * (x * z)). [para(8739(a,1),8056(a,1,2)),flip(a)]. 8741 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(285,a,6646,a(flip),b,8736,a),flip(a)]. 8742 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(8741(a,2),8479(a,2,1)),flip(a)]. 8743 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8332(a,2),5321(a,1,1))]. 8744 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(285,a,8027,a(flip),b,8340,a),flip(a)]. 8745 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(6665(a,1),8345(a,1,1,1,2))]. 8746 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(32(a,2),8348(a,2,1))]. 8747 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(285,a,4230,a(flip),b,8369,a),flip(a)]. 8748 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(66,a,6778,a(flip),b,8747,a)]. 8749 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8364,a,8373,a),flip(a)]. 8750 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(122,a,8749,a(flip),b,5130,a(flip)),flip(a)]. 8751 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(285,a,5125,a,b,8750,a),flip(a)]. 8752 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(66,a,6628,a,b,8751,a)]. 8753 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [hyper(285,a,8359,a(flip),b,8374,a),flip(a)]. 8755 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5150(a,1),8753(a,1,2,1,1)),flip(a)]. 8757 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7865,a,8422,a),flip(a)]. 8758 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(14(a,1),8757(a,1,2,2)),flip(a)]. 8760 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(753(a,1),8512(a,1,2,1,2))]. 8761 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4197(a,1),8520(a,1,2,1))]. 8762 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4811(a,1),8523(a,1,2)),flip(a)]. 8763 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(285,a,5123,a,b,8524,a),flip(a)]. 8764 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5596(a,1),8763(a,2,1,2,1))]. 8765 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7794(a,1),8763(a,2,1,2))]. 8766 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(753(a,1),8543(a,1,2,2,1)),flip(a)]. 8767 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z \ 1)). [hyper(285,a,7691,a(flip),b,8617,a),flip(a)]. 8768 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5383(a,1),8633(a,1,1,2))]. 8769 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(8768(a,2),5821(a,2,1))]. 8770 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(5590,a,8645,a(flip))]. 8771 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7716(a,1),8645(a,1,2))]. 8772 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3978(a,2),8770(a,2,2))]. 8773 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(8409(a,1),8770(a,1,2))]. 8774 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8656(a,2),7930(a,1,1))]. 8775 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(136,a,8711,a)]. 8776 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(8711(a,1),5374(a,1,1))]. 8777 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(285,a,5307,a(flip),b,8718,a),flip(a)]. 8778 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4959,a,8777,a)]. 8779 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(285,a,7876,a,b,8742,a),flip(a)]. 8780 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8775(a,1),5448(a,1,2))]. 8781 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8775(a,1),5454(a,1,2))]. 8782 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(66,a,6566,a(flip),b,8776,a)]. 8783 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5836(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8784 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(6725(a,1),8780(a,1,2,1,2,2))]. 8785 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(8215(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8786 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(8122(a,1),7743(a,1,1))]. 8787 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(87(a,1),7754(a,1,2,1,1))]. 8788 R(x,y,T(z,K(y,u))) = R(x,y,z). [hyper(7818,a,7898,a),flip(a)]. 8789 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(7990(a,1),8788(a,1,3,2))]. 8790 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(8406(a,1),8789(a,1,3))]. 8792 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(285,a,5178,a(flip),b,8064,a),flip(a)]. 8793 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7756(a,1),8792(a,1,2))]. 8794 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5981(a,1),8793(a,1,2,1))]. 8795 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(4227(a,1),8104(a,1,1))]. 8796 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8795(a,1),8215(a,1,1,2)),flip(a)]. 8797 K(x * L(y,z,y),y) = K(y * x,y). [hyper(285,a,8293,a(flip),b,8796,a),flip(a)]. 8801 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8174(a,1),8133(a,2,2))]. 8802 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(285,a,5788,a(flip),b,8801,a),flip(a)]. 8804 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7682(a,1),8238(a,1,1,2)),flip(a)]. 8805 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(66,a,8008,a(flip),b,8326,a),flip(a)]. 8806 K(T(x,R(y,z,u) * w),L(y,w,R(y,z,u))) = K(T(x,w),y). [hyper(66,a,8007,a(flip),b,8329,a),flip(a)]. 8807 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(7147(a,1),8462(a,1,2))]. 8808 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4828(a,1),8500(a,1,1,1,2)),flip(a)]. 8809 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(589(a,1),8611(a,1,2))]. 8810 K(x,a(K(x,y),z,u)) = 1. [hyper(66,a,6013,a(flip),b,8809,a),flip(a)]. 8812 T(x,a(K(x,y),z,u)) = x. [hyper(59,a,8810,a)]. 8813 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,8812,a)]. 8814 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8812(a,1),28(a,1,1)),flip(a)]. 8815 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8812(a,1),7756(a,1,2,1)),flip(a)]. 8816 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8814(a,1),6154(a,1,2))]. 8817 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8813(a,1),7756(a,1,2,1)),flip(a)]. 8818 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8732(a,2,2))]. 8819 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7999,a,8807,a)]. 8821 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5527(a,1),7638(a,1,2))]. 8822 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5527(a,1),8821(a,2,2))]. 8823 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [hyper(124,a,8822,a(flip),b,104,a),flip(a)]. 8824 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4121(a,1),8823(a,1,2,1))]. 8825 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4121(a,1),8824(a,2,2,2))]. 8826 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8825(a,1),4158(a,1,1))]. 8827 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(66,a,7066,a,b,7655,a)]. 8829 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7788(a,2),6546(a,1))]. 8831 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(66,a,7792,a(flip),b,8077,a)]. 8832 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(66,a,7695,a(flip),b,8086,a)]. 8833 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(66,a,7792,a(flip),b,8092,a)]. 8834 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(216(a,1),8833(a,1,2))]. 8835 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6327(a,2),8833(a,1,2,1))]. 8836 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [hyper(66,a,8027,a(flip),b,8108,a),flip(a)]. 8837 L(K(T(x \ 1,y),z),u,w) = K(T(L(x,u,w) \ 1,y),z). [para(8028(a,1),8114(a,1,1))]. 8838 K(T(L(x \ 1,y,z) \ 1,u),w) = L(K(T(x,u),w),y,z). [para(3345(a,1),8837(a,1,1)),flip(a)]. 8839 K(x,T(L(y \ 1,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(8838(a,1),5320(a,1,1)),flip(a)]. 8840 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5335(a,1),8119(a,1,2,2))]. 8841 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(180,a,8840,a)]. 8843 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5149(a,2),8841(a,1,1,1))]. 8844 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5385(a,1),8841(a,1,1)),flip(a)]. 8845 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5400(a,1),8841(a,1,1)),flip(a)]. 8846 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7768(a,1),8845(a,1,1))]. 8847 L(x,y,x) \ x = x \ R(x,y,x). [hyper(66,a,5792,a(flip),b,8846,a),flip(a)]. 8848 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(285,a,2229,a,b,8843,a),flip(a)]. 8849 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1523(a,1),8848(a,1,1)),flip(a)]. 8850 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6280(a,1),8844(a,1,1))]. 8851 R(x,y,x) \ x = x \ L(x,y,x). [hyper(66,a,8549,a(flip),b,8850,a),flip(a)]. 8852 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,7040,a,b,8851,a)]. 8853 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(122,a,8851,a(flip),b,1153,a)]. 8854 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),2708(a,1,1,2,1))]. 8855 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8853(a,1),5056(a,2,2))]. 8856 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(8160(a,1),6629(a,1,2))]. 8857 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(66,a,7696,a(flip),b,8161,a)]. 8858 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(66,a,6692,a(flip),b,8198,a)]. 8859 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(8637(a,1),8318(a,1,2))]. 8860 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(4062(a,1),8346(a,2,2))]. 8861 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(8860(a,1),5731(a,1,1))]. 8862 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(66,a,8748,a(flip),b,8861,a),flip(a)]. 8863 L(x,R(y,x,y),x) = L(x,y,x). [hyper(66,a,5661,a(flip),b,8862,a)]. 8864 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(285,a,4332,a(flip),b,8863,a),flip(a)]. 8865 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(616(a,1),8382(a,1,1,2,1)),flip(a)]. 8866 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(66,a,7114,a(flip),b,8467,a),flip(a)]. 8868 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7681(a,2),8476(a,2,1))]. 8869 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(224,a,8484,a,b,xx)]. 8871 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(8869(a,1),981(a,2,1))]. 8873 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8491(a,1),8438(a,1))]. 8874 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,y)). [hyper(285,a,8226,a(flip),b,8494,a),flip(a)]. 8875 K(x,x \ y) * ((z * (x \ y)) * x) = T((z * (y / x)) * x,K(x,y)). [para(7567(a,1),8874(a,1,2))]. 8876 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(285,a,8513,a(flip),b,8514,a),flip(a)]. 8877 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(15(a,1),8876(a,1,2,1,1)),flip(a)]. 8878 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(66,a,8474,a(flip),b,8877,a)]. 8879 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(7217(a,2),8592(a,2,2))]. 8880 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7681(a,2),8596(a,1,2))]. 8881 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(285,a,5302,a,b,8621,a),flip(a)]. 8882 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(96(a,1),8881(a,1,2,1,2)),flip(a)]. 8883 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7396(a,1),8702(a,1,2)),flip(a)]. 8885 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(8777(a,1),8778(a,1,1))]. 8886 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(5977(a,1),8779(a,2,1,1))]. 8887 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(285,a,5625,a(flip),b,8827,a),flip(a)]. 8888 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(66,a,8516,a(flip),b,8887,a)]. 8889 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [hyper(66,a,4612,a,b,8839,a)]. 8890 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(285,a,1810,a(flip),b,8855,a),flip(a)]. 8891 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5530(a,1),8890(a,1,2))]. 8892 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(285,a,6688,a(flip),b,8858,a),flip(a)]. 8893 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(133,a,8859,a)]. 8894 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(4259(a,1),8864(a,1,2)),flip(a)]. 8895 L(x,L(y,x,y),x) = L(x,y,x). [hyper(285,a,4328,a(flip),b,8894,a),flip(a)]. 8897 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(8895(a,1),34(a,1,1)),flip(a)]. 8898 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(285,a,34,a(flip),b,8897,a),flip(a)]. 8899 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(66,a,5309,a,b,8898,a)]. 8900 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(66,a,7184,a(flip),b,8883,a),flip(a)]. 8901 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(x,T(y,w)),z,u). [hyper(285,a,6032,a(flip),b,8889,a),flip(a)]. 8902 L(K(x,T(y \ 1,z)),u,w) = K(x,T(L(y,u,w) \ 1,z)). [para(87(a,1),8901(a,1,2,1,1,1)),flip(a)]. 8903 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(32(a,2),7793(a,1,1))]. 8904 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8021(a,1),8314(a,1,2))]. 8905 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(285,a,8015,a(flip),b,8101,a),flip(a)]. 8906 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(66,a,8465,a(flip),b,8905,a),flip(a)]. 8907 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6556,a,8906,a)]. 8909 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(66,a,6120,a,b,8906,a)]. 8910 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(14(a,1),8906(a,1,2,1,1)),flip(a)]. 8913 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(66,a,7995,a(flip),b,8910,a),flip(a)]. 8914 K(x,T(L(y,z,u) \ 1,u * z)) = K(x,(u * z) / (u * (z * y))). [para(103(a,1),8913(a,2,2,2))]. 8915 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(66,a,8008,a(flip),b,8110,a),flip(a)]. 8916 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(8470(a,1),6083(a,1,1,1)),flip(a)]. 8918 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8598(a,1),4179(a,1,2))]. 8919 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5074(a,1),8649(a,1,1,1))]. 8920 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5097(a,1),8919(a,1,1)),flip(a)]. 8921 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(285,a,30,a,b,8920,a),flip(a)]. 8922 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(8921(a,1),34(a,1,1)),flip(a)]. 8923 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(66,a,7032,a(flip),b,8669,a),flip(a)]. 8924 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5516(a,1),8923(a,1,1,2,1)),flip(a)]. 8925 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8923(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8926 K(x,R(y \ 1,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [hyper(66,a,7163,a(flip),b,8684,a)]. 8927 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(8786(a,1),7712(a,2,1))]. 8928 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(66,a,8622,a(flip),b,8787,a),flip(a)]. 8930 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8804(a,2),6262(a,1))]. 8931 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2684(a,1),8903(a,2,1,1))]. 8932 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7626(a,1),7633(a,1,2,2)),flip(a)]. 8933 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(285,a,5595,a(flip),b,8932,a),flip(a)]. 8935 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,8933,a),flip(a)]. 8936 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,7107,a(flip),b,7750,a),flip(a)]. 8937 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,6727,a(flip),b,8936,a)]. 8938 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(205(a,1),8936(a,1,1,2)),flip(a)]. 8940 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8938(a,2),6554(a,1))]. 8941 (x * (y * K(z,u))) / (K(u,z) \ y) = x * K(u,K(z,K(u,z) \ y)). [para(7396(a,1),7877(a,1,1,2))]. 8942 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7932(a,1),7923(a,1,1))]. 8943 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / z) = x / z. [hyper(5452,a,8942,a)]. 8944 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8942(a,1),114(a,1,1,1)),flip(a)]. 8945 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8943(a,1),47(a,1)),flip(a)]. 8946 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(285,a,8008,a(flip),b,8032,a),flip(a)]. 8948 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(136,a,8946,a)]. 8949 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(28(a,1),8948(a,1,2))]. 8950 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(66,a,5519,a(flip),b,8949,a),flip(a)]. 8951 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(143,a,8950,a),flip(a)]. 8953 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(8159(a,1),8951(a,1,1)),flip(a)]. 8954 L(x,y,T(x,z)) = L(x,y,x). [hyper(285,a,5670,a(flip),b,8953,a),flip(a)]. 8958 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8954(a,1),30(a,2,1))]. 8961 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(285,a,30,a,b,8958,a),flip(a)]. 8963 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5114(a,1),8245(a,1,2)),flip(a)]. 8964 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(66,a,8722,a(flip),b,8317,a)]. 8965 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8389(a,2),5220(a,2,1))]. 8966 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(285,a,8334,a(flip),b,8415,a),flip(a)]. 8967 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(66,a,8419,a(flip),b,8966,a)]. 8970 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5340(a,1),8597(a,1,1,2))]. 8971 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [hyper(66,a,8149,a(flip),b,8601,a),flip(a)]. 8973 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [hyper(285,a,6626,a,b,8971,a),flip(a)]. 8974 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (y / x)). [hyper(285,a,8130,a,b,8973,a),flip(a)]. 8975 K(x \ y,(y / x) * z) = K(x \ y,z * (y / x)). [para(115(a,1),8974(a,1,2,1))]. 8976 K((x \ y) \ K(x \ y,(y / x) * z),u) = K(y \ x,T(u,z * (y / x))). [para(8975(a,2),8546(a,1,1,2))]. 8977 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4409(a,1),8624(a,1,2))]. 8978 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(285,a,8683,a(flip),b,8685,a),flip(a)]. 8979 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(66,a,8687,a,b,8978,a)]. 8980 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(90(a,1),8979(a,2,2,2,1))]. 8981 K(T(x,T(y,z)) \ K(y,u),w) = T(K(x \ K(y,u),w),T(y,z)). [hyper(66,a,6577,a(flip),b,8721,a),flip(a)]. 8982 T(((1 / x) * (x / y)) * y,K(y,x)) = a(x \ 1,y \ x,y). [hyper(66,a,6305,a(flip),b,8875,a),flip(a)]. 8983 T(a(x \ 1,x / y,y),K(y,x)) = a(x \ 1,y \ x,y). [para(3938(a,1),8982(a,1,1))]. 8984 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6607,a,8879,a)]. 8985 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8984(a,2),6049(a,1,2))]. 8986 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(285,a,34,a(flip),b,8922,a),flip(a)]. 8987 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,K(u,z) \ y)). [para(5334(a,1),8941(a,1,2))]. 8988 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8324(a,1),8970(a,1,1))]. 8989 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(66,a,6105,a(flip),b,8977,a),flip(a)]. 8990 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5150(a,1),8989(a,1,2,1)),flip(a)]. 8991 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),8990(a,1,2,2)),flip(a)]. 8992 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8991(a,1),7399(a,1,1,2)),flip(a)]. 8993 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(285,a,7399,a(flip),b,8992,a),flip(a)]. 8994 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(66,a,7020,a(flip),b,8993,a)]. 8996 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(285,a,7018,a(flip),b,8994,a),flip(a)]. 8997 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5360(a,1),8996(a,1,2)),flip(a)]. 8998 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5234(a,1),8996(a,1,2))]. 8999 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6254(a,1),8996(a,1,2)),flip(a)]. 9000 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8080(a,1),8996(a,1,2)),flip(a)]. 9001 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(66,a,7019,a(flip),b,8997,a)]. 9002 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8998(a,1),6160(a,1,1))]. 9004 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(14(a,1),9001(a,1,1,2)),flip(a)]. 9005 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8035(a,1),8999(a,1,2,2))]. 9006 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9002(a,1),47(a,1)),flip(a)]. 9007 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,y)). [para(8137(a,1),8987(a,2,2,2))]. 9008 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7884(a,2),9007(a,2,2))]. 9010 L(K(x,y) * K(x,K(y,z * (u * x))),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(6322(a,1),7922(a,2,1,2))]. 9011 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8015(a,1),8094(a,1,2,1,2))]. 9012 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(32(a,2),9011(a,2,2))]. 9013 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8015(a,1),8095(a,1,1,1,2))]. 9014 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(30(a,2),9013(a,2,2))]. 9015 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7695(a,1),9014(a,1,1,1,2))]. 9016 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6322(a,1),8355(a,1,2,1))]. 9017 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(66,a,8551,a(flip),b,9016,a),flip(a)]. 9018 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(285,a,8012,a(flip),b,9017,a),flip(a)]. 9020 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(66,a,7014,a(flip),b,9018,a)]. 9021 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(15(a,1),9018(a,1,2))]. 9022 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(8134(a,1),9018(a,1,1))]. 9023 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [hyper(124,a,9020,a,b,5125,a(flip))]. 9024 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(36(a,1),9020(a,2,2))]. 9025 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(9020(a,1),5190(a,2,1)),flip(a)]. 9026 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [hyper(285,a,32,a,b,9025,a),flip(a)]. 9027 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [hyper(122,a,9026,a(flip),b,5153,a)]. 9028 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(66,a,9005,a(flip),b,9022,a)]. 9030 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9018,a(flip),b,9028,a),flip(a)]. 9031 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(66,a,8142,a,b,9030,a)]. 9032 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7392(a,1),9030(a,1,2,1)),flip(a)]. 9034 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(5474,a,8370,a),flip(a)]. 9036 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(66,a,8019,a(flip),b,9034,a)]. 9037 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(6217(a,1),9036(a,1,1,1)),flip(a)]. 9038 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(66,a,9014,a(flip),b,9015,a),flip(a)]. 9039 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5246(a,1),9038(a,1,2,1))]. 9040 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5150(a,1),9039(a,2,2,1))]. 9041 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5399(a,1),9040(a,1,2,1))]. 9042 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4586(a,1),9041(a,1,2,1)),flip(a)]. 9043 K(x,L(y,z,y)) = K(x,y). [para(4245(a,1),9042(a,1,2)),flip(a)]. 9044 L(K(x,y),z,y) = K(x,y). [hyper(6652,a,9043,a)]. 9045 K(T(x / (y * z),y),z) = K((y * z) \ x,z). [hyper(66,a,8338,a(flip),b,9043,a)]. 9046 T(x,L(y,z,y)) = x * K(x,y). [hyper(124,a,9043,a(flip),b,5125,a(flip)),flip(a)]. 9047 K(x,R(y,z,y)) = K(x,y). [para(4586(a,1),9043(a,1,2)),flip(a)]. 9048 K(L(x,y,z),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9044,a)]. 9049 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(66,a,6663,a(flip),b,9044,a),flip(a)]. 9050 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(66,a,6662,a(flip),b,9044,a)]. 9051 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(124,a,9044,a(flip),b,7068,a(flip))]. 9056 R(K(x,y),z,y) = K(x,y). [hyper(7551,a,9047,a)]. 9057 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(285,a,5344,a,b,9047,a),flip(a)]. 9058 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [hyper(124,a,9047,a(flip),b,5805,a),flip(a)]. 9059 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(35(a,1),9048(a,1,1))]. 9060 K((x \ 1) \ y,x) = K(x * y,x). [para(452(a,1),9048(a,1,1)),flip(a)]. 9061 T(x,L(y,z,x)) = 1 / (x \ K(y,x)). [para(9048(a,1),5302(a,2,2,2))]. 9062 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9048(a,1),5805(a,1,2,1,2)),flip(a)]. 9063 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9048(a,1),5807(a,1,1,1,2)),flip(a)]. 9064 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9048(a,1),8027(a,1,1,2)),flip(a)]. 9065 K(R(x,y,z),z) = K(x,z). [hyper(66,a,9004,a(flip),b,9056,a)]. 9066 (K(x,y) * z) * y = K(x,y) * (z * y). [para(9056(a,1),112(a,1,1)),flip(a)]. 9067 K(T(x / (y * z),y),z) = K(y \ (x / z),z). [para(605(a,1),9065(a,1,1))]. 9068 T(x,L(y,z,y)) = x / K(y,x). [hyper(285,a,7396,a,b,9046,a),flip(a)]. 9069 T(x,L(y,z,y)) = T(x,y). [hyper(285,a,5130,a,b,9046,a),flip(a)]. 9071 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(630,a,9069,a),flip(a)]. 9073 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(285,a,4329,a(flip),b,9069,a),flip(a)]. 9075 L(x,y,x) * T(z,x) = z * L(x,y,x). [hyper(124,a,9069,a(flip),b,27,a(flip))]. 9077 T(x,R(y,z,y)) = T(x,y). [para(4586(a,1),9069(a,1,2)),flip(a)]. 9078 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(124,a,9077,a(flip),b,27,a(flip))]. 9079 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4290(a,1),9077(a,1,2))]. 9080 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4618(a,1),9077(a,1,2))]. 9081 K(R(x,y,x),z) = K(x,z). [hyper(39,a,5344,a,b,9057,a(flip))]. 9082 K(x,R(y,z,y)) != u | K(x,y) = u. [para(9057(a,2),5350(a,1))]. 9083 x * K(R(x,y,x),z) = T(x,z). [hyper(124,a,9081,a,b,5125,a(flip))]. 9084 R(K(x,y),z,x) = K(x,y). [hyper(66,a,9001,a(flip),b,9081,a)]. 9085 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(124,a,9081,a(flip),b,5179,a)]. 9086 K((x \ y) \ T(y,x),z) = K(x,z). [para(4252(a,1),9081(a,1,1))]. 9089 K(x,R(y,z,x)) = K(x,y). [hyper(66,a,9031,a(flip),b,9084,a)]. 9090 (K(x,y) * z) * x = K(x,y) * (z * x). [para(9084(a,1),112(a,1,1)),flip(a)]. 9092 T(x,R(y,z,x)) = x * K(x,y). [hyper(124,a,9089,a(flip),b,5125,a(flip)),flip(a)]. 9093 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6105(a,1),9089(a,1,2))]. 9094 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(9089(a,1),6813(a,1,1)),flip(a)]. 9095 K(L(x,y,x),z) = K(x,z). [hyper(5230,a,9068,a)]. 9097 L(K(x,y),z,x) = K(x,y). [hyper(66,a,8727,a(flip),b,9095,a)]. 9099 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9095(a,1),5272(a,1,1))]. 9100 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(8961(a,1),9095(a,1,1))]. 9101 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(285,a,14,a,b,9097,a),flip(a)]. 9102 K(x,L(y,z,x)) = K(x,y). [hyper(66,a,8735,a(flip),b,9097,a)]. 9103 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(66,a,6637,a(flip),b,9097,a)]. 9104 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(66,a,6636,a(flip),b,9097,a),flip(a)]. 9105 a(x,y,K(x,z)) = 1. [hyper(56,a,9097,a)]. 9106 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(124,a,9097,a(flip),b,104,a),flip(a)]. 9107 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(124,a,9097,a(flip),b,7068,a(flip))]. 9110 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(35(a,1),9102(a,1,2))]. 9111 K(x,(x \ 1) \ y) = K(x,x * y). [para(452(a,1),9102(a,1,2)),flip(a)]. 9112 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(695(a,1),9102(a,1,2)),flip(a)]. 9113 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9102(a,1),6653(a,1,1)),flip(a)]. 9114 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(122,a,9083,a(flip),b,6860,a),flip(a)]. 9115 T(x,R(y,z,x)) = T(x,y). [hyper(285,a,5130,a,b,9092,a),flip(a)]. 9116 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(605(a,1),9115(a,1,2))]. 9117 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(702(a,1),9115(a,1,2))]. 9121 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(66,a,6691,a(flip),b,9060,a),flip(a)]. 9122 x \ T(x * y,x) = y * K(x * y,x). [hyper(124,a,9060,a(flip),b,6466,a),flip(a)]. 9123 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(9060(a,1),6661(a,1,1))]. 9124 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(9060(a,1),6902(a,1,2,1,2))]. 9125 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(9060(a,1),6953(a,1,2,1,2))]. 9127 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(66,a,8574,a,b,9079,a)]. 9128 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(66,a,8399,a(flip),b,9079,a),flip(a)]. 9129 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(117(a,1),9079(a,1,2))]. 9130 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(4076(a,1),9079(a,1,2))]. 9131 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(630,a,9129,a),flip(a)]. 9132 T(x,L(y,z,x)) = T(x,y). [hyper(285,a,5302,a,b,9061,a),flip(a)]. 9133 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9132(a,1,2))]. 9134 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(453(a,1),9132(a,1,2)),flip(a)]. 9135 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(822(a,1),9132(a,1,2)),flip(a)]. 9136 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(706(a,1),9093(a,1,2,2))]. 9137 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9100(a,1),5272(a,1,1))]. 9139 L(K(x,y),z,x) != u | K(x,y) = u. [para(9101(a,2),304(a,1)),flip(b)]. 9140 K(L(x,y,x),z) != u | K(x,z) = u. [para(6653(a,1),9139(a,1))]. 9141 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6637(a,1),9139(a,1))]. 9142 K(x,y) != z | K(R(x,u,x),y) = z. [para(4586(a,1),9140(a,1,1))]. 9144 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(15(a,1),9049(a,2,1,2))]. 9145 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(9049(a,1),6662(a,1,1))]. 9146 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1483(a,1),9050(a,1,1,1)),flip(a)]. 9147 T(T(x * K(y \ (x \ z),x),u),w) \ T(T(x,u),w) = K(T(T(x,u),w),(x * y) \ z). [para(9050(a,1),5894(a,1,1,1,1,2))]. 9148 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9050(a,1),8745(a,1,1,1,2))]. 9149 x * (y * K(x * y,x)) = T(x * y,x). [hyper(5180,a,9051,a),flip(a)]. 9150 R(x,y,K(z,x)) = x. [hyper(475,a,9051,a)]. 9151 R(x,y,K(z,T(x,u))) = x. [hyper(144,a,9150,a(flip))]. 9152 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9150(a,1),471(a,1,1,1)),flip(a)]. 9153 (R(x,y,z) * u) * K(w,x) = R(x,y,z) * (u * K(w,x)). [para(9150(a,1),473(a,1,1,1)),flip(a)]. 9157 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9151(a,1),112(a,1,1)),flip(a)]. 9158 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9151(a,1),472(a,1,1,1)),flip(a)]. 9159 L(x,y,K(z,x)) = x. [hyper(445,a,9066,a)]. 9161 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(116(a,1),9066(a,1,1)),flip(a)]. 9162 L(x,y,K(x,z)) = x. [hyper(6947,a,9159,a)]. 9163 L(x,y,K(z,L(x,u,w))) = x. [hyper(147,a,9159,a)]. 9165 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(9159(a,1),35(a,1,1)),flip(a)]. 9166 (K(x,y) * z) * y != u | K(x,y) * (z * y) = u. [para(9159(a,1),265(a,1,2))]. 9167 (K(x,y) * z) * L(y,u,w) = K(x,y) * (z * L(y,u,w)). [para(9159(a,1),410(a,1,2,1))]. 9168 L(K(x,y),z,K(u,y)) = K(x,y). [para(9159(a,1),6646(a,1,2)),flip(a)]. 9169 L(K(x,y),z,K(u,x)) = K(x,y). [para(9159(a,1),6651(a,1,1)),flip(a)]. 9170 L(x,y,K(R(x,z,u),w)) = x. [hyper(149,a,9162,a(flip))]. 9171 L(T(x,y),z,K(x,u)) = T(x,y). [para(9162(a,1),30(a,2,1))]. 9172 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(9162(a,1),410(a,1,2,1))]. 9173 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(9162(a,1),411(a,1,2,1))]. 9176 L(K(x,y),z,K(y,u)) = K(x,y). [para(9162(a,1),6646(a,1,2)),flip(a)]. 9177 L(K(x,y),z,K(x,u)) = K(x,y). [para(9162(a,1),6651(a,1,1)),flip(a)]. 9179 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(9163(a,1),5280(a,1,2)),flip(a)]. 9180 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(9170(a,1),444(a,1,2,2)),flip(a)]. 9181 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(66,a,8726,a(flip),b,9168,a)]. 9182 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [hyper(124,a,9168,a(flip),b,7068,a(flip))]. 9183 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(66,a,8735,a(flip),b,9169,a)]. 9184 (K(x,y) * (x \ z)) \ (K(x,y) * z) = T(x,x \ z). [hyper(66,a,320,a(flip),b,9171,a)]. 9188 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [hyper(124,a,9176,a(flip),b,7068,a(flip))]. 9189 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(9176(a,1),411(a,1,2,1))]. 9192 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(6094(a,1),9176(a,1,3))]. 9193 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(66,a,8735,a(flip),b,9177,a)]. 9194 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [hyper(124,a,9177,a(flip),b,7068,a(flip))]. 9195 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(9177(a,1),30(a,2,1))]. 9196 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(9177(a,1),34(a,1,1)),flip(a)]. 9197 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(66,a,8584,a(flip),b,9181,a)]. 9198 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9181(a,1),5232(a,2,1,1))]. 9199 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(35(a,1),9183(a,1,2))]. 9200 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(9193(a,1),7881(a,1,2)),flip(a)]. 9202 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(9165(a,1),499(a,1,2))]. 9203 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [hyper(124,a,9071,a(flip),b,27,a(flip)),flip(a)]. 9205 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(118(a,1),9075(a,1,2))]. 9207 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(118(a,1),9078(a,1,2))]. 9209 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5960,a,9080,a),flip(a)]. 9210 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(3372,a,9085,a)]. 9211 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(122,a,9085,a(flip),b,5524,a)]. 9212 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(9085(a,1),4452(a,1,1)),flip(a)]. 9213 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(285,a,5518,a(flip),b,9090,a),flip(a)]. 9215 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(8228(a,1),9090(a,1,1)),flip(a)]. 9217 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5452,a,9099,a)]. 9219 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(122,a,9099,a(flip),b,5530,a)]. 9220 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(122,a,9099,a(flip),b,5529,a),flip(a)]. 9221 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9099(a,1),8891(a,1,2)),flip(a)]. 9222 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(66,a,8423,a,b,9103,a)]. 9223 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(66,a,7369,a(flip),b,9103,a),flip(a)]. 9224 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(5435(a,1),9103(a,1,2,1)),flip(a)]. 9225 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(9103(a,1),5946(a,1,1))]. 9226 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9103(a,1),6563(a,2,2))]. 9227 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(66,a,8154,a,b,9104,a)]. 9228 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9104(a,1),6637(a,1,1))]. 9230 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(122,a,5131,a(flip),b,9106,a),flip(a)]. 9231 (x \ y) * K(y,x) = x \ T(y,x). [hyper(7409,a,9230,a)]. 9232 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(128,a,9230,a),flip(a)]. 9233 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(9231(a,1),23(a,2,1)),flip(a)]. 9234 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(27(a,2),9231(a,1,1))]. 9235 R(x,y,K(x,z)) = x. [hyper(475,a,9107,a)]. 9236 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9107(a,1),6311(a,1,1))]. 9237 R(x,y,K(T(x,z),u)) = x. [hyper(144,a,9235,a(flip))]. 9238 R(T(x,y),z,K(x,u)) = T(x,y). [para(9235(a,1),32(a,2,1))]. 9239 R((x * y) / x,z,K(y,u)) = (x * y) / x. [para(9235(a,1),783(a,2,1,2))]. 9240 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9235(a,1),471(a,1,1,1)),flip(a)]. 9241 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9235(a,1),472(a,1,1,1)),flip(a)]. 9242 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9235(a,1),473(a,1,1,1)),flip(a)]. 9243 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(9235(a,1),1192(a,1,1,3,2))]. 9248 R(x,y,T(x,z)) = R(x,y,x). [para(9235(a,1),6901(a,1,1)),flip(a)]. 9250 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9237(a,1),474(a,1,1)),flip(a),flip(b)]. 9253 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(118(a,1),9248(a,1,3)),flip(a)]. 9254 R(x,y,(x \ z) \ z) = R(x,y,x). [para(117(a,1),9248(a,1,3))]. 9255 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(615(a,1),9248(a,1,3))]. 9256 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9248(a,1),988(a,2,2))]. 9261 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(9238(a,1),6901(a,1,1)),flip(a)]. 9262 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(124,a,7819,a(flip),b,9122,a)]. 9263 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(66,a,4495,a,b,9122,a)]. 9264 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(66,a,1362,a,b,9122,a)]. 9265 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(4084(a,1),9122(a,1,2,1)),flip(a)]. 9266 x \ T(x * y,x) = y * K(y * x,x). [para(5785(a,2),9122(a,2,2))]. 9267 K((((x \ (x * y)) \ 1) * (x \ 1)) \ 1,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(9122(a,1),6971(a,1,2))]. 9268 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(9122(a,2),7561(a,1,1,2))]. 9269 T(x,y \ (x \ 1)) / (x * y) = x * ((x / (x * y)) / x). [hyper(123,a,9133,a(flip),b,3815,a)]. 9270 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(15(a,1),9133(a,1,2,1)),flip(a)]. 9271 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ z)) = T(1 / x,(y * ((1 / x) / y)) \ z). [para(7173(a,1),9133(a,1,2,1)),flip(a)]. 9272 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9133(a,1),8419(a,1,2))]. 9273 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(66,a,8561,a,b,9134,a)]. 9274 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(66,a,7634,a,b,9134,a)]. 9275 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,9144,a)]. 9276 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(9192(a,1),35(a,1,1)),flip(a)]. 9278 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5101(a,1),9197(a,1,1,2))]. 9279 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5146(a,1),9197(a,1,1,2))]. 9280 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5360(a,1),9197(a,1,1,2)),flip(a)]. 9281 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5234(a,1),9197(a,1,1,2))]. 9282 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5545(a,1),9197(a,1,1,2))]. 9284 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5709(a,1),9197(a,1,1,2))]. 9285 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5832(a,1),9197(a,1,1,2))]. 9286 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(224,a,9213,a,b,5152,a)]. 9289 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(285,a,7366,a,b,9223,a)]. 9290 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(285,a,7157,a(flip),b,9223,a),flip(a)]. 9291 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(9223(a,2),7174(a,1,2))]. 9292 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(285,a,4225,a(flip),b,9261,a),flip(a)]. 9293 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [hyper(124,a,9261,a(flip),b,4248,a),flip(a)]. 9294 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5150(a,1),9261(a,1,1)),flip(a)]. 9295 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(9261(a,1),9047(a,1,2))]. 9296 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(9261(a,1),9077(a,1,2))]. 9297 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(32(a,1),9295(a,1,2))]. 9298 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(32(a,1),9296(a,1,2))]. 9299 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4259(a,1),9297(a,1,2,1)),flip(a)]. 9300 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(66,a,3981,a(flip),b,9298,a),flip(a)]. 9301 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4259(a,1),9298(a,1,2,1)),flip(a)]. 9302 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(9266(a,1),6343(a,1,1))]. 9303 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2710(a,1),9274(a,1,2,1)),flip(a)]. 9304 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(66,a,8187,a,b,9275,a)]. 9305 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [hyper(6674,a,9278,a)]. 9306 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(285,a,6844,a,b,9279,a)]. 9307 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(9279(a,1),8027(a,1,1,2))]. 9308 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(9279(a,1),8780(a,1,2,1,2,2))]. 9309 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5115(a,1),9280(a,1,1,2)),flip(a)]. 9310 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(5153(a,2),9280(a,1,1,2))]. 9311 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),9280(a,1,1,2,1))]. 9312 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6270,a,9286,a),flip(a)]. 9313 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6257,a,9286,a)]. 9314 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(285,a,2432,a(flip),b,9286,a),flip(a)]. 9315 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(15(a,1),9286(a,1,1)),flip(a)]. 9316 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(28(a,1),9286(a,2,2))]. 9317 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7681(a,2),9286(a,2,2))]. 9319 K(x,R((y \ 1) * x,z,u) \ 1) = R(K(x,x \ y),z,u). [para(9290(a,1),6934(a,1,1)),flip(a)]. 9320 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(87(a,1),9304(a,1,1,1)),flip(a)]. 9321 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T((T(y,u) * K(z,u)) \ 1,K(z,u) \ 1)). [para(9312(a,2),7847(a,2,2,1,1)),flip(a)]. 9322 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(14(a,1),9313(a,1,2,1)),flip(a)]. 9323 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9313(a,1),1417(a,1,1)),flip(a)]. 9324 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9313(a,1),6268(a,1,1)),flip(a)]. 9325 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(66,a,5185,a,b,9315,a)]. 9327 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(122,a,9315,a(flip),b,972,a),flip(a)]. 9328 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(123,a,9322,a,b,xx)]. 9330 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5764(a,1),9322(a,1,1)),flip(a)]. 9331 K(x,T(K(y,z) * u,z) \ 1) = K(x,T(u,z) \ K(z,y)). [para(9322(a,2),6416(a,1,2,1))]. 9332 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(122,a,9324,a,b,5152,a)]. 9335 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5158(a,1),9328(a,1,1,1))]. 9336 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,9064,a),flip(a)]. 9337 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(453(a,1),9336(a,1,2,2)),flip(a)]. 9338 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(285,a,5232,a,b,9198,a),flip(a)]. 9339 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),9338(a,1,2))]. 9340 (((x * y) / x) \ z) * K(y,y \ z) = ((x * y) / x) \ (y * (z / y)). [para(9239(a,1),5622(a,1,1)),flip(a)]. 9341 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(9292(a,1),9297(a,1,2,1))]. 9343 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(285,a,6513,a,b,9058,a)]. 9344 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(285,a,3195,a(flip),b,9058,a),flip(a)]. 9345 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9058(a,2,2))]. 9346 K((x * y) \ z,y) = K(x \ (z / y),y). [hyper(66,a,9045,a(flip),b,9067,a)]. 9347 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(285,a,8200,a(flip),b,9346,a),flip(a)]. 9348 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(124,a,9347,a(flip),b,6349,a),flip(a)]. 9349 K(L(x \ y,x,z / y),x) = K((z / y) \ (x \ z),x). [para(455(a,2),9347(a,1,1))]. 9350 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9347(a,1),5803(a,1,1,1,2))]. 9351 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(9347(a,1),7399(a,1,1,2))]. 9352 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(66,a,8564,a(flip),b,9116,a)]. 9353 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(285,a,7644,a(flip),b,9352,a),flip(a)]. 9354 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9353(a,1,2))]. 9355 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(8452,a,9121,a)]. 9356 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6423,a,9121,a)]. 9357 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8873,a,9128,a)]. 9360 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6447,a,9203,a)]. 9361 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4586(a,1),9205(a,1,1)),flip(a)]. 9362 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(9207(a,2),1622(a,1,1))]. 9363 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(4252(a,1),9207(a,2,2))]. 9364 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9207(a,1),6264(a,2,2))]. 9365 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9236(a,1),6323(a,1,2))]. 9366 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7453(a,2),9253(a,1,1))]. 9367 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(9263(a,2),5392(a,2,1,2))]. 9368 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(9263(a,2),7642(a,1,2,1))]. 9369 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(211(a,1),9285(a,1,1)),flip(a)]. 9370 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9289(a,1),6939(a,2,2))]. 9371 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(66,a,5337,a(flip),b,9299,a),flip(a)]. 9372 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(4189(a,1),9299(a,1,2))]. 9373 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(124,a,9300,a(flip),b,1679,a)]. 9374 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4189(a,1),9301(a,1,2))]. 9375 K((x / y) \ z,T(z,y)) = K((y \ x) \ z,z). [hyper(285,a,6665,a,b,9306,a),flip(a)]. 9376 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(87(a,1),9306(a,1,1,1)),flip(a)]. 9377 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(9310(a,1),5724(a,1,1,1,2)),flip(a)]. 9378 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(5435(a,1),9332(a,1,2,1))]. 9379 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9355(a,1),6185(a,1,1,1))]. 9380 T(x \ 1,y) \ T(x \ K(x \ z,x \ 1),y) = K(z * (x \ 1),T(x \ 1,y)). [para(9355(a,1),5892(a,1,2,1,2))]. 9384 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(66,a,6165,a,b,9371,a)]. 9385 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(28(a,1),9372(a,2,2))]. 9386 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(4294(a,1),9385(a,1,2)),flip(a)]. 9387 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(285,a,6653,a(flip),b,9113,a),flip(a)]. 9388 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(453(a,1),9387(a,1,2)),flip(a)]. 9390 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4370(a,1),9293(a,2,2))]. 9391 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(66,a,7995,a(flip),b,9112,a),flip(a)]. 9392 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9391(a,2),7726(a,1,1))]. 9393 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(285,a,9221,a(flip),b,9114,a),flip(a)]. 9394 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(285,a,8570,a(flip),b,9117,a),flip(a)]. 9395 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,9152,a)]. 9396 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(66,a,8203,a(flip),b,9152,a),flip(a)]. 9397 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9395,a)]. 9398 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(66,a,6662,a(flip),b,9395,a)]. 9400 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(9395(a,1),410(a,1,2,1))]. 9401 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(789(a,1),9397(a,1,1))]. 9402 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(6760,a,9157,a),flip(a)]. 9403 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(445,a,9157,a)]. 9404 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(66,a,6662,a(flip),b,9403,a)]. 9405 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7495,a,9161,a)]. 9406 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(8226(a,1),9405(a,2,1))]. 9407 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [hyper(66,a,8893,a(flip),b,9179,a)]. 9408 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(9182(a,1),7941(a,1,2))]. 9409 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K((x \ y) \ u,x \ y)) \ y. [hyper(285,a,7461,a,b,9184,a),flip(a)]. 9410 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(9188(a,1),981(a,1,1,2))]. 9411 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8015(a,1),9188(a,1,2)),flip(a)]. 9413 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(9194(a,1),8309(a,2,2))]. 9414 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(66,a,6263,a(flip),b,9212,a)]. 9415 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(66,a,4967,a(flip),b,9226,a),flip(a)]. 9416 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(66,a,4946,a(flip),b,9226,a),flip(a)]. 9417 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,9240,a)]. 9418 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(66,a,6637,a(flip),b,9417,a)]. 9419 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(9262(a,1),6586(a,1,1,1))]. 9420 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(9281(a,1),7035(a,1,1))]. 9421 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(38,a,6319,a,b,9291,a)]. 9422 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(9421(a,1),7432(a,1,1)),flip(a)]. 9423 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(9309(a,1),5807(a,1,1,1,2))]. 9424 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(66,a,8048,a(flip),b,9311,a),flip(a)]. 9425 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5146(a,1),9311(a,1,1,2)),flip(a)]. 9427 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5516(a,1),9311(a,1,1,2)),flip(a)]. 9428 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7997(a,1),9311(a,1,1,2))]. 9430 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(66,a,7994,a(flip),b,9424,a),flip(a)]. 9431 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9430(a,1),7399(a,1,1,2)),flip(a)]. 9432 K((x * K(y,z)) / u,z) = K(x / u,z). [para(8080(a,1),9430(a,1,1,1)),flip(a)]. 9433 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9430(a,1),8780(a,1,2,1,2,2)),flip(a)]. 9434 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1270(a,1),9432(a,1,1,1))]. 9435 K((x * L(K(y,z),u,w)) / v5,z) = K(x / v5,z). [para(5981(a,1),9432(a,1,1,1,2))]. 9436 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(9434(a,1),7399(a,1,1,2)),flip(a)]. 9437 K((x * (y * K(z,u))) / w,z) = K((x * y) / w,z). [para(7558(a,1),9435(a,1,1,1)),flip(a)]. 9438 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(285,a,5552,a(flip),b,9316,a),flip(a)]. 9439 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(9438(a,1),7990(a,1,1))]. 9440 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(976(a,1),9337(a,1,2,2)),flip(a)]. 9441 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(66,a,8616,a(flip),b,9339,a)]. 9443 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5101(a,1),9441(a,1,2,2))]. 9444 T(x,y \ T(x,z)) = T(x,y \ x). [para(5143(a,1),9441(a,1,2,2)),flip(a)]. 9445 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5146(a,1),9441(a,1,2,2))]. 9446 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5158(a,1),9441(a,1,2,2)),flip(a)]. 9447 T(K(x \ T(y,z),u),T(y,x \ y)) = T(K(x \ T(y,z),u),y). [para(9444(a,1),8397(a,1,2))]. 9448 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9445(a,1),5178(a,1,2,1))]. 9449 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9445(a,1),8522(a,1,2))]. 9450 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(118(a,1),9446(a,1,2,2,1)),flip(a)]. 9451 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(7411,a,9351,a),flip(a)]. 9452 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(9351(a,1),7411(a,1))]. 9453 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9451(a,1,2))]. 9454 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(105(a,2),9452(a,1,2))]. 9455 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,((x / y) \ (x * z)) / x). [hyper(285,a,7744,a(flip),b,9453,a),flip(a)]. 9456 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(66,a,7361,a(flip),b,9453,a),flip(a)]. 9457 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4083(a,1),9453(a,2,2,2,2))]. 9458 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(4201(a,1),9453(a,2,2,2,2))]. 9459 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9393(a,1),9131(a,1,1,2,1))]. 9460 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(9122(a,2),9396(a,1,2))]. 9461 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(285,a,9282,a(flip),b,9398,a),flip(a)]. 9463 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9461(a,1),7884(a,2,2))]. 9466 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(9404(a,1),5977(a,1,1))]. 9467 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(9416(a,1),7399(a,1,1))]. 9468 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(37,a,6721,a,b,9422,a),flip(a)]. 9469 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(66,a,9144,a(flip),b,9468,a),flip(a)]. 9470 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [hyper(66,a,6484,a(flip),b,9468,a),flip(a)]. 9471 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1081(a,1),9469(a,1,1,2,1)),flip(a)]. 9472 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(9469(a,1),5302(a,2,2,2))]. 9473 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(285,a,6724,a(flip),b,9425,a),flip(a)]. 9474 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6311(a,1),9425(a,1,1,2)),flip(a)]. 9475 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(285,a,7399,a(flip),b,9431,a),flip(a)]. 9476 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5146(a,1),9475(a,1,2,1)),flip(a)]. 9477 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5564(a,1),9475(a,1,2,1))]. 9478 R(K(x,y / (z / u)),K(x,w) * y,u) = K(x,((K(x,w) * y) * u) / z). [para(9475(a,1),6102(a,1,1))]. 9479 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8357(a,1),9475(a,1,2,1))]. 9480 x * K(x,(x * y) / z) = T(x,(y * x) / z). [hyper(124,a,9476,a(flip),b,5125,a(flip))]. 9481 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(1552(a,1),9476(a,2,2))]. 9482 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5180,a,9480,a),flip(a)]. 9484 K((x * (y * z)) / u,z) = K((x * (z * y)) / u,z). [para(96(a,1),9437(a,1,1,1,2)),flip(a)]. 9485 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(7682(a,1),9437(a,1,1,1,2))]. 9486 K((x * (y * K(z,u))) / w,T(z,v5)) = K((x * y) / w,T(z,v5)). [para(7990(a,1),9437(a,1,1,1,2,2))]. 9487 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1642(a,1),9460(a,1,2)),flip(a)]. 9488 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1672(a,1),9460(a,1,2)),flip(a)]. 9489 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(393(a,2),9467(a,1,1,2,2,1))]. 9490 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(9467(a,1),1353(a,1,1,2,1))]. 9491 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(285,a,5302,a,b,9472,a),flip(a)]. 9492 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(14(a,1),9491(a,1,2,2,1)),flip(a)]. 9493 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1081(a,1),9491(a,1,2,2,1)),flip(a)]. 9494 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(66,a,9133,a(flip),b,9492,a)]. 9495 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,9494,a),flip(a)]. 9496 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K((L(y,z,x) * (x * z)) / u,T(y,x * z)). [para(582(a,1),9484(a,1,1,1)),flip(a)]. 9497 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [hyper(66,a,8689,a(flip),b,9485,a)]. 9498 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7685(a,1),9330(a,1,2))]. 9499 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(66,a,5764,a(flip),b,9498,a),flip(a)]. 9500 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(254,a,9499,a)]. 9501 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7540(a,1),9500(a,1,1))]. 9502 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(28(a,1),9384(a,1,2))]. 9503 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(66,a,6225,a(flip),b,9502,a)]. 9504 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(28(a,1),9503(a,1,2))]. 9505 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(4200(a,1),9504(a,2,2))]. 9506 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5785(a,2),9124(a,1,2,1,2))]. 9507 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(37,a,9149,a,b,9125,a)]. 9509 L(K(x,y),z,R(y,u,w)) = K(x,y). [hyper(445,a,9153,a)]. 9510 K(x,L(y,z,R(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9509,a)]. 9511 K(T(x,R(y,z,u) * w),y) = K(T(x,w),y). [hyper(66,a,8806,a(flip),b,9510,a),flip(a)]. 9513 R(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(475,a,9167,a)]. 9514 K((x * L(y,z,u)) / w,y) = K(x / (w / L(y,z,u)),y). [hyper(66,a,7033,a(flip),b,9513,a)]. 9515 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(475,a,9173,a)]. 9516 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5146(a,1),9173(a,1,1)),flip(a)]. 9517 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(9173(a,1),5521(a,1,1,2))]. 9518 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(66,a,9031,a(flip),b,9515,a)]. 9519 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,9004,a(flip),b,9515,a)]. 9520 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(706(a,1),9518(a,1,2))]. 9521 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9519(a,1),5190(a,2,1)),flip(a)]. 9522 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9519(a,1),6512(a,1,1,1)),flip(a)]. 9523 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5334(a,1),9224(a,1,2))]. 9524 K(x,L(x * (y \ z),x \ 1,y) \ 1) = K(x,z \ (y * (x \ 1))). [hyper(66,a,6636,a(flip),b,9225,a),flip(a)]. 9525 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(90(a,1),9225(a,1,1,2,2)),flip(a)]. 9526 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,9241,a)]. 9527 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9241(a,1),7399(a,1,1))]. 9528 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9241(a,1),7411(a,1,1))]. 9529 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(9241(a,1),7941(a,1,2))]. 9530 K(x,T(L(y,z,L(x,u,w)) \ 1,v5)) = K(x,T(y \ 1,v5)). [hyper(66,a,8902,a(flip),b,9526,a)]. 9531 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9526,a)]. 9532 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,8805,a(flip),b,9531,a),flip(a)]. 9534 K(x,(L(x,y,z) * u) / (L(x,y,z) * (u * w))) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,8914,a(flip),b,9532,a)]. 9535 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9532(a,1,2,2)),flip(a)]. 9536 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6756,a,9242,a),flip(a)]. 9537 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(519,a,9242,a),flip(a)]. 9538 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(445,a,9242,a)]. 9539 ((x / y) * R(y,z,y)) * K(y,u) = R(y,z,y) * ((y \ x) * K(y,u)). [para(9207(a,1),9242(a,1,1))]. 9540 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9538,a)]. 9541 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(128,a,9537,a)]. 9543 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(9266(a,1),9264(a,1,1)),flip(a)]. 9544 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) / (y * ((1 / x) / y)) = (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)). [para(7173(a,1),9269(a,1,2))]. 9545 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(66,a,8027,a(flip),b,9307,a),flip(a)]. 9546 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5307(a,1),9314(a,1,1))]. 9547 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(285,a,5799,a(flip),b,9546,a),flip(a)]. 9548 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(66,a,6754,a,b,9547,a)]. 9549 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9325(a,2),1416(a,2,1,2))]. 9550 K(x,T(y,z) \ K(z,u)) = T(K(x,y \ K(z,u)),z). [hyper(66,a,6562,a(flip),b,9331,a),flip(a)]. 9551 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(66,a,5002,a(flip),b,9348,a)]. 9552 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(16(a,1),9551(a,1,1,1,2)),flip(a)]. 9553 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6385(a,2),9388(a,2,2,2)),flip(a)]. 9554 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(8227,a,9406,a)]. 9555 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(7953,a,9554,a)]. 9556 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(7940(a,1),9555(a,2,1))]. 9558 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(9436(a,2),7411(a,1))]. 9559 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(285,a,7884,a(flip),b,9463,a),flip(a)]. 9560 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(37,a,9149,a,b,9506,a)]. 9562 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9506(a,1),8141(a,2,1))]. 9563 K((K(x,(y / L(z,u,w)) \ 1) * L(z,u,w)) / y,z) = K((x * (1 / (y / L(z,u,w)))) / x,z). [para(5696(a,1),9514(a,2,1))]. 9564 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1614(a,2),9516(a,1,2))]. 9565 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(285,a,32,a,b,9521,a),flip(a)]. 9566 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(27(a,2),9523(a,1,2,2)),flip(a)]. 9567 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7563,a,9527,a)]. 9568 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9567,a)]. 9569 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9567,a)]. 9570 K((L(x,y,z) \ u) \ w,x) = K(u \ (L(x,y,z) * w),x). [hyper(66,a,6663,a(flip),b,9567,a),flip(a)]. 9571 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(124,a,9567,a(flip),b,104,a),flip(a)]. 9572 K((L(x,y,z) \ 1) \ u,x) = K(L(x,y,z) * u,x). [para(452(a,1),9569(a,1,1)),flip(a)]. 9573 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4206(a,1),9569(a,1,1))]. 9575 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(9552(a,1),8605(a,1,2,1))]. 9576 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(9552(a,1),8700(a,1,2,2))]. 9577 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(14(a,1),9576(a,1,2,2,1,1))]. 9578 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(122,a,9565,a(flip),b,5529,a),flip(a)]. 9579 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9565(a,1),9094(a,1,1,2)),flip(a)]. 9580 K((L(x,y,z) \ x) \ u,x) = K(L(x,y,z) * (x \ u),x). [para(1240(a,1),9570(a,2,1))]. 9581 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(285,a,9445,a(flip),b,9135,a),flip(a)]. 9582 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(285,a,6596,a(flip),b,9135,a),flip(a)]. 9584 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(9582(a,2),6542(a,1))]. 9586 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9250,a,6644,a)]. 9587 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(66,a,8088,a(flip),b,9586,a),flip(a)]. 9588 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(66,a,8014,a(flip),b,9587,a)]. 9589 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(66,a,9476,a,b,9588,a)]. 9590 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(15(a,1),9588(a,1,2,1)),flip(a)]. 9591 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(66,a,9479,a,b,9589,a)]. 9592 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(66,a,8131,a,b,9590,a)]. 9593 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(16(a,1),9592(a,1,2,2))]. 9594 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(66,a,8075,a,b,9593,a)]. 9595 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [hyper(124,a,9593,a(flip),b,5125,a(flip))]. 9596 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(9593(a,1),7399(a,1,1,2))]. 9597 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [hyper(8426,a,9594,a)]. 9598 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5180,a,9595,a),flip(a)]. 9599 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(285,a,8675,a(flip),b,9598,a),flip(a)]. 9600 T(x,(x * y) / (x * z)) = T(x,y / z). [para(14(a,1),9599(a,1,2,1)),flip(a)]. 9601 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(15(a,1),9600(a,1,2,2))]. 9602 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(66,a,9482,a,b,9601,a)]. 9603 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7411,a,9596,a),flip(a)]. 9605 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9268(a,1),5562(a,1,1,2))]. 9606 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(8136(a,1),9268(a,2,1))]. 9607 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(285,a,4999,a(flip),b,9303,a),flip(a)]. 9608 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9369(a,1),7860(a,1,1)),flip(a)]. 9610 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [hyper(285,a,7024,a(flip),b,9497,a),flip(a)]. 9611 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(9610(a,1),7531(a,1,1,2)),flip(a)]. 9612 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [hyper(285,a,7531,a(flip),b,9611,a),flip(a)]. 9613 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(5294(a,1),9612(a,1,3)),flip(a)]. 9614 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(8080(a,1),9612(a,1,3)),flip(a)]. 9615 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4932(a,2),9613(a,1,3))]. 9616 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(9614(a,1),1191(a,1,1,1)),flip(a)]. 9617 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(9584,a,9581,a),flip(a)]. 9619 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(15(a,1),9617(a,1,2,2))]. 9620 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(15(a,1),9619(a,1,2,1,2))]. 9621 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(285,a,6592,a(flip),b,9620,a),flip(a)]. 9622 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(14(a,1),9621(a,1,2,1,1))]. 9623 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(66,a,9445,a,b,9622,a)]. 9624 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(15(a,1),9623(a,1,2,1)),flip(a)]. 9625 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(9624(a,1),5918(a,1,2,1,1))]. 9626 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(15(a,1),9607(a,1,2,2)),flip(a)]. 9627 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(285,a,5805,a(flip),b,9062,a),flip(a)]. 9628 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(452(a,1),9627(a,1,1)),flip(a)]. 9629 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(66,a,6691,a(flip),b,9628,a),flip(a)]. 9631 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(9063(a,2),7487(a,1))]. 9632 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(66,a,8354,a(flip),b,9136,a)]. 9633 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(66,a,7934,a(flip),b,9632,a),flip(a)]. 9634 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(66,a,8938,a,b,9284,a)]. 9635 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(285,a,417,a(flip),b,9323,a),flip(a)]. 9636 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(9327(a,1),7436(a,1,1)),flip(a)]. 9637 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(285,a,7437,a(flip),b,9636,a),flip(a)]. 9638 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(285,a,7153,a(flip),b,9637,a),flip(a)]. 9639 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(285,a,6392,a(flip),b,9356,a),flip(a)]. 9640 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(285,a,7802,a,b,9639,a),flip(a)]. 9641 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(14(a,1),9640(a,2,2))]. 9642 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(66,a,8758,a(flip),b,9357,a)]. 9644 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9642(a,1),8428(a,1))]. 9645 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(37,a,9416,a,b,9370,a(flip))]. 9647 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(15(a,1),9645(a,1,2,1)),flip(a)]. 9648 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9645(a,1),7399(a,1,1,2)),flip(a)]. 9649 K(x,(x * (y \ z)) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,9103,a,b,9647,a)]. 9650 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(90(a,1),9647(a,1,2,2)),flip(a)]. 9651 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(9647(a,1),5977(a,1,1)),flip(a)]. 9652 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(7304(a,1),9647(a,1,2,1)),flip(a)]. 9653 K(x,L(x * (y \ z),x \ 1,u) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,7584,a,b,9649,a)]. 9654 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(285,a,7399,a(flip),b,9648,a),flip(a)]. 9655 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(15(a,1),9654(a,1,1,1)),flip(a)]. 9656 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),9654(a,1,1,1))]. 9657 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,9050,a,b,9655,a)]. 9658 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9655(a,1),5302(a,2,2,2)),flip(a)]. 9659 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,6986,a,b,9657,a)]. 9661 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(9650(a,2),5766(a,1))]. 9662 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5304,a,9658,a),flip(a)]. 9663 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,9133,a,b,9662,a)]. 9664 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,7586,a,b,9663,a)]. 9665 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(66,a,8015,a(flip),b,9401,a)]. 9666 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(66,a,8832,a(flip),b,9665,a),flip(a)]. 9667 K((x * (y * T(z,u))) / w,T(z,v5)) = K((x * (y * z)) / w,T(z,v5)). [para(6322(a,1),9486(a,1,1,1,2))]. 9668 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(285,a,8136,a(flip),b,9566,a),flip(a)]. 9669 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(66,a,8866,a(flip),b,9668,a)]. 9671 K(x,K(y \ x,y) * z) = K(x,z). [hyper(66,a,5336,a(flip),b,9669,a),flip(a)]. 9673 K(x * y,K(y,x) * z) = K(x * y,z). [para(14(a,1),9671(a,1,2,1,1))]. 9674 K(x,K(y,y \ x) * z) = K(x,z). [para(5360(a,1),9671(a,1,2)),flip(a)]. 9675 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5737(a,1),9671(a,1,2))]. 9676 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5749(a,1),9671(a,1,2)),flip(a)]. 9677 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(9671(a,1),7460(a,1,1,2))]. 9678 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9674(a,1),5146(a,1,1))]. 9679 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9673(a,1),5150(a,1,1,2))]. 9680 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(87(a,1),9675(a,1,2,1)),flip(a)]. 9681 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9679(a,1),6315(a,1,2)),flip(a)]. 9682 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(604(a,1),9629(a,1,2)),flip(a)]. 9683 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5775,a,9678,a)]. 9684 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4141,a,9683,a)]. 9685 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(9684(a,1),218(a,1,2,2)),flip(a)]. 9686 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(9233(a,1),8206(a,1,2)),flip(a)]. 9688 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9365(a,1),647(a,1))]. 9689 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(66,a,4413,a(flip),b,9420,a),flip(a)]. 9690 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(8049,a,9689,a)]. 9692 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(9690(a,1),5649(a,1,1,2))]. 9693 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9690(a,1),7399(a,1,1,2))]. 9694 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(7411,a,9693,a)]. 9695 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5785(a,2),9507(a,2,1,2))]. 9696 K(x,y \ (z * (x \ 1))) = K(x,y \ (x \ z)). [hyper(66,a,9653,a(flip),b,9524,a),flip(a)]. 9698 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9560(a,1),441(a,1,2,2))]. 9699 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,9158,a)]. 9700 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(9189(a,1),2181(a,2,2))]. 9701 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6528(a,1),9209(a,1,1))]. 9702 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5150(a,1),9294(a,1,1)),flip(a)]. 9703 R(x,y,x * K(z,x)) = R(x,y,x). [para(5150(a,1),9702(a,1,3)),flip(a)]. 9704 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5193(a,1),9703(a,1,3))]. 9705 (x * (((y * x) / y) \ z)) / x = ((y * x) / y) \ (x * (z / x)). [hyper(66,a,8256,a(flip),b,9340,a)]. 9706 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5545(a,1),9364(a,1,2)),flip(a)]. 9707 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8015(a,1),9411(a,1,2,2)),flip(a)]. 9708 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(123,a,9501,a(flip),b,9419,a(flip))]. 9709 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(66,a,7541,a,b,9708,a)]. 9711 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9107(a,2),9474(a,1,1,2))]. 9712 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(285,a,4161,a(flip),b,9487,a),flip(a)]. 9713 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(285,a,4160,a(flip),b,9488,a),flip(a)]. 9714 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(14(a,1),9713(a,1,1,2,1)),flip(a)]. 9715 K(1 / x,L((1 / x) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(285,a,5978,a(flip),b,9525,a),flip(a)]. 9716 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(9302(a,1),9562(a,1,1))]. 9717 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(14(a,1),9641(a,1,2))]. 9718 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(66,a,8892,a(flip),b,9717,a)]. 9720 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(285,a,9647,a(flip),b,9652,a),flip(a)]. 9721 K((x * (T(y,z) * u)) / w,T(y,z)) = K((x * (u * y)) / w,T(y,z)). [hyper(66,a,9484,a(flip),b,9667,a)]. 9722 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(66,a,9428,a(flip),b,9711,a),flip(a)]. 9724 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(66,a,8857,a(flip),b,9722,a),flip(a)]. 9727 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,7264,a(flip),b,9715,a)]. 9728 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(5766,a,9727,a)]. 9729 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4586(a,1),9361(a,1,2))]. 9730 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(135,a,9729,a)]. 9731 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(9729(a,1),4182(a,1,2)),flip(a)]. 9732 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1152(a,1),9730(a,1,1,2))]. 9733 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(285,a,9373,a,b,9732,a),flip(a)]. 9734 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4011,a,9733,a)]. 9735 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(66,a,9731,a,b,9734,a)]. 9737 T(x,y * R(x,z,x)) = T(x,x * y). [para(16(a,1),9735(a,1,2,2)),flip(a)]. 9738 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(285,a,5130,a(flip),b,9737,a),flip(a)]. 9739 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5207,a,9738,a)]. 9740 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(66,a,8222,a,b,9739,a)]. 9741 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(9142,a,9740,a)]. 9743 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9448(a,1),5473(a,1))]. 9744 R(K(x,y / (z / u)),y,u) = K(x,((K(x,w) * y) * u) / z). [hyper(66,a,8996,a(flip),b,9478,a)]. 9746 K(x,((K(x,y) * z) * u) / w) = K(x,(z * u) / w). [hyper(66,a,6102,a(flip),b,9744,a),flip(a)]. 9747 K(x,(((y / x) \ z) * u) / w) = K(x,(((x \ y) \ z) * u) / w). [para(5854(a,1),9746(a,1,2,1,1)),flip(a)]. 9748 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [hyper(7842,a,9747,a),flip(a)]. 9749 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(285,a,7882,a(flip),b,9608,a),flip(a)]. 9750 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(66,a,7884,a,b,9749,a)]. 9751 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7713(a,1,2,1))]. 9752 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(6627(a,1),7843(a,2,2))]. 9753 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [hyper(285,a,7682,a(flip),b,9752,a),flip(a)]. 9754 K(x,T(y * x,x \ 1) \ (x * z)) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [hyper(66,a,9104,a(flip),b,8164,a)]. 9755 (((x * y) / x) \ (y * (z / y))) \ 1 = (((x * y) / x) \ z) \ K(y \ z,y). [para(9705(a,1),8260(a,2,1)),flip(a)]. 9757 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(285,a,5816,a(flip),b,8371,a),flip(a)]. 9758 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(285,a,6840,a(flip),b,9757,a),flip(a)]. 9759 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(66,a,6468,a(flip),b,9758,a)]. 9760 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(285,a,6392,a(flip),b,9759,a),flip(a)]. 9761 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(27(a,2),9760(a,2,2))]. 9762 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(x \ 1,y),z)) * x. [para(3339(a,1),8418(a,2,1,2,1))]. 9763 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(6126(a,1),8446(a,1,2))]. 9764 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(7539,a,8638,a),flip(a)]. 9767 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(8755(a,1),8105(a,1,2))]. 9768 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(285,a,8780,a(flip),b,8783,a),flip(a)]. 9769 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(90(a,1),9768(a,1,2,1,1)),flip(a)]. 9770 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(118(a,1),9768(a,1,2)),flip(a)]. 9771 K(x,T((y * K(z,u)) \ 1,w)) = K(x,T(K(u,z) / y,w)). [para(7399(a,1),9768(a,1,2,1,1)),flip(a)]. 9772 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(66,a,8906,a(flip),b,9770,a),flip(a)]. 9773 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(9770(a,1),7682(a,1,2))]. 9774 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(66,a,9770,a(flip),b,9769,a)]. 9775 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(285,a,5699,a,b,9773,a)]. 9776 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(90(a,1),9773(a,1,2,2,2)),flip(a)]. 9777 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(38,a,8120,a,b,9776,a),flip(a)]. 9780 K(x,T(T(y * K(z,u),w) \ 1,v5)) = T(K(x,T(K(u,z) / y,v5)),w). [para(9771(a,1),8712(a,2,1))]. 9781 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6564,a,9775,a)]. 9782 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(9781(a,1),8052(a,1,1,2))]. 9783 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8054,a,9782,a),flip(a)]. 9784 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4105(a,1),8835(a,1,1))]. 9785 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(285,a,8701,a(flip),b,9784,a),flip(a)]. 9786 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u * (x / y))). [hyper(8547,a,8976,a)]. 9787 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(285,a,9261,a(flip),b,9255,a),flip(a)]. 9789 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9345(a,1,1,2))]. 9790 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9789(a,2),7531(a,1,1))]. 9791 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(285,a,5724,a(flip),b,9377,a),flip(a)]. 9792 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(994(a,1),9791(a,1,2,2)),flip(a)]. 9793 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(8051(a,1),9791(a,1,2,2))]. 9794 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(7395(a,1),9793(a,1,2,2)),flip(a)]. 9795 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(285,a,8831,a(flip),b,9794,a),flip(a)]. 9796 K(T(x,y),z \ (T(x,y) \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9696,a(flip),b,9795,a)]. 9797 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9792,a(flip),b,9796,a)]. 9799 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,9797,a),flip(a)]. 9800 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(66,a,7206,a(flip),b,9799,a),flip(a)]. 9801 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(355(a,1),9800(a,1,2,2))]. 9802 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(14(a,1),9712(a,1,1,2,1))]. 9803 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(14(a,1),9714(a,1,1,2,1)),flip(a)]. 9804 (((x * y) / x) \ z) \ K(y \ z,y) = (T(y,x) * (y \ (z / y))) \ 1. [para(4292(a,1),9755(a,1,1)),flip(a)]. 9805 (((x * y) / x) \ z) \ K(y \ z,y) = (K(y,x) * (z / y)) \ 1. [para(5153(a,1),9804(a,2,1))]. 9806 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ K(T(x,z) \ 1,y)) * x. [para(6080(a,2),9762(a,2,1,2))]. 9807 (1 / x) \ T(T(x \ 1,y),K(y,z)) = (x \ K(T(x,z) \ 1,y)) * x. [para(421(a,1),9806(a,1,2))]. 9809 (x \ K(T(x,y) \ 1,z)) * x != u | T(T(x \ 1,z),K(z,y)) * x = u. [para(9807(a,1),6790(a,1))]. 9810 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4154(a,1),7668(a,2,1,2))]. 9811 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,9810,a),flip(a)]. 9812 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(66,a,7741,a(flip),b,7739,a)]. 9813 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,9699,a(flip),b,9812,a),flip(a)]. 9815 K((L(x,y,z) * u) / w,T(x,u)) = K(w \ (L(x,y,z) * u),x). [hyper(66,a,7694,a(flip),b,9813,a),flip(a)]. 9816 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(66,a,5319,a(flip),b,9813,a),flip(a)]. 9817 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9813(a,1,2,2)),flip(a)]. 9818 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9813(a,1),7707(a,1,2,2)),flip(a)]. 9819 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(186(a,1),9817(a,2,2))]. 9820 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7823,a,9816,a)]. 9821 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9820(a,1),8849(a,1,2))]. 9822 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,8271,a),flip(a)]. 9823 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(66,a,7832,a(flip),b,8272,a)]. 9825 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9823,a),flip(a)]. 9826 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8283(a,1),9825(a,1,2))]. 9827 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(285,a,5805,a(flip),b,8296,a),flip(a)]. 9828 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5360(a,1),9827(a,1,1)),flip(a)]. 9829 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5360(a,1),9828(a,1,1)),flip(a)]. 9830 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5973(a,1),9828(a,1,1,1))]. 9831 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [hyper(124,a,9829,a(flip),b,5125,a(flip))]. 9832 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6375,a,9831,a),flip(a)]. 9833 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(9832(a,2),7436(a,1,1))]. 9834 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(15(a,1),9833(a,1,1,1)),flip(a)]. 9835 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(285,a,5119,a,b,9834,a),flip(a)]. 9836 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8006(a,1),9835(a,1,2))]. 9837 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7392(a,1),9836(a,1,2)),flip(a)]. 9838 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9837(a,1),8648(a,1,1,2))]. 9839 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7943(a,1),8388(a,1,1,3))]. 9840 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5334(a,1),9839(a,2,2))]. 9841 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5599(a,1),8519(a,1,2)),flip(a)]. 9842 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(285,a,8028,a(flip),b,9841,a),flip(a)]. 9843 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(32(a,2),9842(a,2,1))]. 9844 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(9082,a,9843,a)]. 9846 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(66,a,8550,a(flip),b,9844,a),flip(a)]. 9847 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(66,a,8746,a(flip),b,9846,a)]. 9848 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(66,a,5329,a,b,9847,a)]. 9850 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,9031,a(flip),b,8697,a),flip(a)]. 9852 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,8696,a(flip),b,9850,a)]. 9854 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),9852(a,1,2,2)),flip(a)]. 9855 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(9852(a,1),7399(a,1,1,2)),flip(a)]. 9856 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(545(a,1),9854(a,1,2)),flip(a)]. 9857 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(285,a,7399,a(flip),b,9855,a),flip(a)]. 9858 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5143(a,1),9857(a,1,1,2)),flip(a)]. 9859 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(9858(a,1),5722(a,1,2,1,2)),flip(a)]. 9860 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(285,a,5722,a(flip),b,9859,a),flip(a)]. 9862 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8010,a(flip),b,8834,a),flip(a)]. 9864 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(6570(a,1),8871(a,1,1,2))]. 9865 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(5125(a,2),9864(a,1,1)),flip(a)]. 9866 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(6691(a,1),9865(a,1,1))]. 9867 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) = K(L(y,z,u) * (x \ 1),y). [hyper(285,a,3246,a(flip),b,9866,a),flip(a)]. 9868 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(285,a,6081,a(flip),b,8916,a),flip(a)]. 9869 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(66,a,9195,a(flip),b,9868,a),flip(a)]. 9871 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6322(a,1),9869(a,1,2))]. 9872 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7392(a,1),9869(a,1,2)),flip(a)]. 9873 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7702(a,1),9869(a,1,2)),flip(a)]. 9874 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(271(a,1),9872(a,1,2))]. 9875 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5981(a,1),9872(a,1,2,2))]. 9876 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(66,a,8392,a(flip),b,9874,a)]. 9877 T(K(x,y \ (x \ z)),z) = T(K(x,y \ (x \ z)),y). [hyper(66,a,8065,a(flip),b,9876,a),flip(a)]. 9878 T(K(x,y),x) != z | K(x,y) = z. [para(9876(a,1),192(a,1))]. 9879 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9876(a,1),8360(a,1,1))]. 9881 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2746(a,1),9878(a,1))]. 9884 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(5836(a,2),9881(a,1))]. 9885 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(7674(a,2),9881(a,1,1))]. 9887 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(285,a,8393,a(flip),b,9871,a),flip(a)]. 9888 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(9887(a,1),7324(a,1,2)),flip(a)]. 9889 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(285,a,5344,a(flip),b,9888,a),flip(a)]. 9890 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [hyper(124,a,9889,a(flip),b,27,a(flip))]. 9891 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(103(a,1),9875(a,1,2))]. 9893 T(K(x,L(x \ y,x,z)),z) = T(K(x,z \ (x \ (z * y))),z * y). [para(9453(a,2),9877(a,2,1)),flip(a)]. 9894 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(9891(a,1),8495(a,1,1)),flip(a)]. 9895 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7681(a,2),9894(a,2,1))]. 9897 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7756(a,1),9895(a,1,2,2)),flip(a)]. 9898 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(9122(a,2),9895(a,1,2,2)),flip(a)]. 9899 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(7493,a,9890,a),flip(a)]. 9900 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5518(a,2),9899(a,1,2))]. 9901 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(66,a,8868,a(flip),b,9900,a)]. 9902 T(K(x,y \ (x \ (y * z))),y * z) = K(x,L(T(x \ z,y),x,y)). [hyper(66,a,7705,a,b,9893,a),flip(a)]. 9903 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(8930,a,9897,a)]. 9904 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(285,a,6259,a,b,9903,a),flip(a)]. 9905 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(66,a,6219,a(flip),b,9904,a),flip(a)]. 9906 K(x,T(y \ (x \ (y * z)),y * z)) = K(x,L(T(x \ z,y),x,y)). [hyper(8428,a,9902,a)]. 9907 K(x,L(T(x \ y,z),x,z)) = K(x,(z * y) / (z * x)). [hyper(66,a,9597,a(flip),b,9906,a),flip(a)]. 9908 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(285,a,5320,a(flip),b,8927,a),flip(a)]. 9909 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(6133(a,1),9908(a,1,1))]. 9910 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(7761(a,1),9909(a,1,1,1,1))]. 9911 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(13(a,1),9910(a,1,1))]. 9912 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(66,a,32,a,b,9911,a)]. 9913 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(66,a,8053,a(flip),b,9912,a),flip(a)]. 9914 R(K(x,T(T(y,z),z * u)),z,u) = K(x,((z / y) * u) \ (z * u)). [para(7681(a,2),9912(a,1,1))]. 9915 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(66,a,8786,a(flip),b,9914,a)]. 9916 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(285,a,9913,a(flip),b,9915,a),flip(a)]. 9917 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8216(a,1),8935(a,1,1,2))]. 9918 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9917,a),flip(a)]. 9920 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(9918(a,1),6960(a,2,2,2,1,1))]. 9921 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(285,a,153,a(flip),b,8944,a),flip(a)]. 9922 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(285,a,5169,a,b,9921,a),flip(a)]. 9924 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(285,a,7881,a,b,9922,a),flip(a)]. 9925 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(66,a,5803,a(flip),b,9350,a),flip(a)]. 9926 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(285,a,4131,a(flip),b,9390,a),flip(a)]. 9927 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(116(a,1),9606(a,1,1,2,2,1))]. 9928 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(285,a,8725,a(flip),b,9927,a),flip(a)]. 9929 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(285,a,7995,a(flip),b,7737,a),flip(a)]. 9930 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(285,a,5704,a(flip),b,9929,a),flip(a)]. 9932 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(285,a,4596,a(flip),b,9930,a),flip(a)]. 9933 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4318(a,1),9932(a,1,2))]. 9934 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(124,a,14,a(flip),b,7850,a)]. 9935 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9934(a,1),6879(a,1,2))]. 9936 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),8033(a,1,2,2,1))]. 9938 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [hyper(66,a,8015,a(flip),b,8096,a)]. 9939 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(125,a,8471,a),flip(a)]. 9940 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4830(a,1),9939(a,1,1)),flip(a)]. 9941 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,6194,a,b,9940,a)]. 9942 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(32(a,2),8545(a,1,2,2,2,1))]. 9943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(285,a,5804,a(flip),b,8586,a),flip(a)]. 9944 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(285,a,8602,a(flip),b,8603,a),flip(a)]. 9946 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(87(a,1),9944(a,1,1,2,1,2,1))]. 9948 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8713,a(flip),b,9946,a)]. 9949 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8251,a(flip),b,9948,a)]. 9950 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(285,a,8523,a(flip),b,8762,a),flip(a)]. 9951 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(597(a,1),9950(a,1,2,1,1)),flip(a)]. 9952 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5076(a,1),9951(a,1,2,1)),flip(a)]. 9953 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7681(a,2),9952(a,2,2))]. 9955 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(285,a,8780,a(flip),b,8785,a),flip(a)]. 9956 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(5130(a,2),9955(a,1,2,1,2))]. 9957 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(7687(a,1),9955(a,1,2,1,2,2))]. 9958 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(8650(a,1),9956(a,1,2,1))]. 9959 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(66,a,9957,a(flip),b,9958,a),flip(a)]. 9961 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(5073(a,2),9959(a,1,2,1,1))]. 9962 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [hyper(285,a,8752,a(flip),b,9961,a),flip(a)]. 9963 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(66,a,8906,a(flip),b,8909,a),flip(a)]. 9964 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8199(a,1),9148(a,1,1,1,2)),flip(a)]. 9965 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1770(a,1),9964(a,2,1))]. 9966 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(285,a,8027,a(flip),b,9965,a),flip(a)]. 9967 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(7940(a,1),9215(a,2,1))]. 9968 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(8781,a,9308,a),flip(a)]. 9969 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(280(a,2),9968(a,1,2,1,2)),flip(a)]. 9970 K(x * (y \ 1),T(y \ 1,z)) = K(y \ x,T(y \ 1,z)). [hyper(6059,a,9380,a),flip(a)]. 9971 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6121,a,9970,a)]. 9972 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(285,a,8906,a(flip),b,9971,a),flip(a)]. 9973 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(66,a,8906,a(flip),b,9972,a)]. 9974 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(66,a,9963,a(flip),b,9973,a)]. 9975 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(285,a,8038,a(flip),b,9974,a),flip(a)]. 9976 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(66,a,8038,a(flip),b,9975,a)]. 9977 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(66,a,8552,a,b,9976,a)]. 9978 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(285,a,8780,a(flip),b,9433,a),flip(a)]. 9979 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8080(a,1),9978(a,1,2,1,1)),flip(a)]. 9980 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(4202(a,1),9505(a,1,2))]. 9981 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(285,a,8264,a(flip),b,9980,a),flip(a)]. 9984 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(285,a,5785,a,b,9981,a),flip(a)]. 9985 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(223(a,1),9579(a,2,1))]. 9986 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(66,a,9564,a(flip),b,9985,a),flip(a)]. 9987 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7908(a,1),9677(a,1,1,1))]. 9988 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7682(a,1),9818(a,2,2))]. 9989 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9567(a,1),9988(a,1,1)),flip(a)]. 9990 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(285,a,152,a(flip),b,9989,a),flip(a)]. 9991 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5361(a,1),9989(a,1,2)),flip(a)]. 9993 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9990(a,1),1320(a,1,1,2,1))]. 9994 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(66,a,9529,a(flip),b,9991,a)]. 9995 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7953,a,9994,a)]. 9996 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(285,a,7914,a,b,9995,a)]. 9997 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(37,a,7862,a,b,9996,a)]. 9998 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(285,a,7881,a,b,9997,a),flip(a)]. 9999 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(14(a,1),9942(a,1,2))]. 10001 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(17(a,1),9967(a,1,2)),flip(a)]. 10002 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(66,a,9556,a,b,10001,a)]. 10004 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(6537(a,1),10002(a,1,1))]. 10005 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7936(a,1),9987(a,1,1,1))]. 10006 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(7900(a,1),10005(a,1,1))]. 10007 K(T(x,y),z) * (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [hyper(5464,a,10006,a)]. 10008 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [para(7761(a,1),10007(a,1,1))]. 10009 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(5666,a,10008,a)]. 10010 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(66,a,8964,a(flip),b,10009,a),flip(a)]. 10011 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5322(a,1),10010(a,2,1))]. 10012 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5322(a,1),10011(a,1,1,1))]. 10013 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6270,a,10012,a),flip(a)]. 10014 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(10013(a,2),215(a,1,2,2))]. 10015 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7761(a,1),8055(a,2,1,2))]. 10016 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(17(a,1),8623(a,1,2))]. 10017 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(66,a,9000,a(flip),b,10016,a)]. 10018 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(32(a,2),8723(a,1,1,2))]. 10019 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5817(a,1),8769(a,1,1)),flip(a)]. 10020 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(14(a,1),10019(a,2,1,1,2,1))]. 10021 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(8768(a,1),10020(a,1,1)),flip(a)]. 10022 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(285,a,9720,a(flip),b,9458,a),flip(a)]. 10023 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5905,a,9686,a),flip(a)]. 10024 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10023(a,1),4174(a,1,2))]. 10026 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10024(a,1),7479(a,1))]. 10027 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8880(a,1),10015(a,2,1))]. 10028 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(285,a,9840,a(flip),b,10027,a),flip(a)]. 10029 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7761(a,1),10028(a,1,1,2))]. 10030 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7997(a,1),10029(a,1,2))]. 10031 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8815(a,2),10030(a,1,1))]. 10032 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(9979(a,1),10017(a,1,1))]. 10033 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(66,a,10016,a(flip),b,10032,a),flip(a)]. 10035 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7940(a,1),10018(a,1,2))]. 10036 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3207(a,1),10035(a,1,2))]. 10038 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10036(a,1),5720(a,1,1,2))]. 10039 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5595(a,1),10038(a,1,1))]. 10040 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(66,a,6925,a(flip),b,10039,a),flip(a)]. 10041 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(8782(a,1),8341(a,1,1))]. 10042 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(66,a,8339,a(flip),b,10041,a),flip(a)]. 10043 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8028(a,1),10042(a,1,1))]. 10044 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5149(a,2),10043(a,1,2,1))]. 10045 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7718(a,2),10044(a,2,1,2)),flip(a)]. 10046 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(285,a,5794,a(flip),b,10045,a),flip(a)]. 10047 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(8407(a,1),10046(a,2,2))]. 10048 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7700(a,1),10047(a,1,1,2,2))]. 10049 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(8771(a,1),10048(a,1,1))]. 10050 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6333,a,10049,a),flip(a)]. 10051 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(66,a,7835,a,b,10050,a)]. 10052 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(224,a,6311,a,b,10051,a)]. 10053 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(7994(a,1),10052(a,1,1,2)),flip(a)]. 10054 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(8013(a,1),10052(a,1,1,2)),flip(a)]. 10055 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(66,a,8409,a(flip),b,10053,a),flip(a)]. 10056 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(66,a,9127,a(flip),b,10054,a),flip(a)]. 10057 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(66,a,10053,a,b,10056,a)]. 10058 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(10057(a,1),8772(a,1,2)),flip(a)]. 10059 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(285,a,8770,a(flip),b,10058,a),flip(a)]. 10060 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3978(a,1),10059(a,1,2))]. 10061 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(66,a,9130,a,b,10060,a)]. 10062 T(K(x \ T(y,z),u),T(y,x)) = T(K(x \ T(y,z),u),y). [hyper(66,a,9447,a(flip),b,10060,a),flip(a)]. 10063 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(285,a,8406,a,b,10061,a)]. 10064 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(285,a,5130,a(flip),b,10061,a),flip(a)]. 10065 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(66,a,8562,a(flip),b,10061,a),flip(a)]. 10066 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6592(a,1),10061(a,1,2))]. 10067 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5207,a,10064,a)]. 10068 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(10064(a,2),5180(a,1))]. 10069 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z)). [hyper(66,a,8767,a,b,10067,a)]. 10070 K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u)). [hyper(66,a,9386,a(flip),b,10067,a)]. 10071 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(66,a,8247,a(flip),b,10067,a)]. 10072 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(66,a,8246,a(flip),b,10067,a)]. 10073 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,u),z)). [para(28(a,1),10067(a,1,2))]. 10074 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6592(a,1),10067(a,1,2))]. 10075 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(6600(a,1),10067(a,1,2)),flip(a)]. 10076 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(10067(a,1),7682(a,1,2))]. 10077 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(198(a,1),10065(a,1,2)),flip(a)]. 10078 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(168(a,1),10071(a,1,2)),flip(a)]. 10079 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(168(a,1),10071(a,2,2))]. 10080 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(169(a,1),10071(a,1,2)),flip(a)]. 10081 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(8434,a,10074,a),flip(a)]. 10082 K(x,T(y,z \ L(y,u,w))) = K(x,T(y,z)). [hyper(285,a,9817,a(flip),b,10074,a),flip(a)]. 10083 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(10074(a,1),8434(a,1))]. 10084 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(285,a,10074,a,b,10081,a),flip(a)]. 10085 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(66,a,7694,a(flip),b,10081,a),flip(a)]. 10086 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(14(a,1),10081(a,1,2,2))]. 10087 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(10081(a,1),8111(a,1,1,2))]. 10090 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10063(a,2),10068(a,1))]. 10092 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(28(a,1),10090(a,1))]. 10093 T(x \ y,K(x,z)) != u | T(y / x,T(x,z)) = u. [para(118(a,1),10090(a,1,1))]. 10095 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,z),u)). [para(28(a,1),10073(a,2,2))]. 10096 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(7681(a,1),10076(a,1,2))]. 10097 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9624(a,1),10084(a,1,2))]. 10098 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(10084(a,1),10083(a,1))]. 10099 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(32(a,2),10085(a,1,2))]. 10100 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(225,a,10096,a)]. 10102 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(37,a,6079,a,b,10096,a)]. 10103 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(285,a,7872,a,b,10100,a)]. 10104 T(K(x,y),z \ K(u,w)) = T(K(x,y),K(w,u) * z). [hyper(66,a,6600,a(flip),b,10100,a),flip(a)]. 10105 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(10100(a,1),3032(a,1,2))]. 10106 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(10100(a,2),7757(a,1))]. 10107 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6594(a,2),10106(a,1))]. 10108 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8001(a,1),10107(a,1))]. 10109 K(x,T(y,(z * (u * y)) \ (z * u))) = K(x,T(y,a(z,u,y))). [para(19(a,2),10097(a,1,2,2)),flip(a)]. 10110 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9443(a,1),10097(a,1,2)),flip(a)]. 10111 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(285,a,6080,a,b,10102,a),flip(a)]. 10112 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(37,a,7872,a,b,10103,a)]. 10113 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(10103(a,1),7873(a,1))]. 10114 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(285,a,7908,a,b,10112,a),flip(a)]. 10115 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(66,a,8656,a,b,10112,a)]. 10116 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(66,a,7908,a,b,10112,a)]. 10117 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(66,a,7921,a(flip),b,10112,a)]. 10118 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5704(a,2),10112(a,1,2))]. 10119 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5708(a,1),10112(a,1,2))]. 10120 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6392(a,1),10112(a,1,2))]. 10121 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6416(a,1),10112(a,1,2))]. 10122 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10114,a)]. 10123 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(66,a,7884,a(flip),b,10114,a)]. 10124 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6392(a,1),10114(a,1,2)),flip(a)]. 10125 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(10114(a,1),8774(a,1,1,1)),flip(a)]. 10126 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(285,a,7884,a(flip),b,10116,a),flip(a)]. 10127 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(66,a,7885,a,b,10116,a)]. 10128 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5967(a,2),10122(a,1,2))]. 10129 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10123,a),flip(a)]. 10130 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(10118(a,1),7957(a,1,1))]. 10131 K(x,K(y,z \ T(y,u))) = K(x,K(y,z)). [hyper(285,a,8196,a(flip),b,10120,a),flip(a)]. 10132 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7589(a,1),10124(a,1,2)),flip(a)]. 10133 K(x,K(y,z)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10131(a,1),7917(a,1,1))]. 10134 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7681(a,2),10105(a,1,2))]. 10135 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(66,a,9272,a(flip),b,10110,a),flip(a)]. 10136 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9270(a,1),10110(a,1,2)),flip(a)]. 10137 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(66,a,8383,a,b,10111,a)]. 10138 (1 / (x * y)) * K(x,y) = K(x,y) * (1 / (x * y)). [para(4193(a,1),10134(a,1,2))]. 10140 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(285,a,6120,a,b,10135,a),flip(a)]. 10142 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,7968,a,b,10136,a)]. 10144 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(66,a,6120,a,b,10140,a)]. 10145 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(14(a,1),10144(a,1,2,2)),flip(a)]. 10146 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(10072(a,2),10098(a,1))]. 10147 K(x \ 1,T(y,K(z,x) * u)) = K(x \ 1,T(y,u)). [hyper(66,a,10069,a(flip),b,10075,a),flip(a)]. 10148 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(10078(a,1),5420(a,1,2))]. 10149 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(10078(a,2),7906(a,2,1))]. 10150 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(10080(a,1),6829(a,1,2))]. 10151 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(66,a,8111,a(flip),b,10087,a),flip(a)]. 10152 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(10066(a,1),10151(a,1,2))]. 10153 T(K(x,y),T(y,z) \ K(y,u)) = K(x,y). [hyper(285,a,7714,a(flip),b,10104,a),flip(a)]. 10154 K(x,y) * (T(y,z) \ K(y,u)) = (T(y,z) \ K(y,u)) * K(x,y). [hyper(124,a,10153,a(flip),b,27,a(flip)),flip(a)]. 10155 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(10112(a,1),10115(a,1,1))]. 10156 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(66,a,8655,a(flip),b,10155,a),flip(a)]. 10157 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7884(a,1),10155(a,1,1))]. 10158 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(66,a,10155,a(flip),b,10157,a),flip(a)]. 10159 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(66,a,8653,a(flip),b,10157,a)]. 10160 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(66,a,8651,a(flip),b,10157,a)]. 10161 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7881,a,b,10158,a)]. 10162 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7042(a,1),10159(a,1,2)),flip(a)]. 10163 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7958,a(flip),b,10161,a),flip(a)]. 10164 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(10121(a,1),7889(a,1,1))]. 10165 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(10123(a,1),10127(a,1,1))]. 10166 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10129(a,1),10127(a,1,1))]. 10167 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(66,a,8742,a,b,10165,a)]. 10168 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10165,a(flip),b,10166,a)]. 10169 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(66,a,8479,a(flip),b,10166,a)]. 10170 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(285,a,7881,a,b,10168,a)]. 10171 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,10123,a(flip),b,10168,a),flip(a)]. 10172 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,7958,a(flip),b,10168,a),flip(a)]. 10173 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(285,a,7881,a,b,10169,a),flip(a)]. 10174 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(66,a,8657,a(flip),b,10169,a)]. 10175 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(10169(a,2),7888(a,1,2))]. 10176 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(268(a,1),10170(a,2,2,2))]. 10177 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [hyper(66,a,8659,a,b,10174,a)]. 10178 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6573(a,1),10128(a,2,2))]. 10179 (K(x,y) * (1 / (x * y))) * y = (1 / (x * y)) * (y * K(x,y)). [para(10138(a,1),7379(a,1,1))]. 10180 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(66,a,10173,a,b,10172,a)]. 10181 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(66,a,8499,a(flip),b,10175,a)]. 10182 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6032(a,1),10177(a,1,2))]. 10183 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6648(a,1),10182(a,1,2)),flip(a)]. 10184 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10168,a,b,10183,a)]. 10185 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(122,a,10148,a(flip),b,5522,a),flip(a)]. 10186 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(10148(a,1),4419(a,1,1)),flip(a)]. 10187 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(122,a,10150,a(flip),b,5522,a),flip(a)]. 10188 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(122,a,10150,a(flip),b,5152,a),flip(a)]. 10189 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(4904(a,1),10117(a,1,2,1)),flip(a)]. 10190 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8654(a,1),10125(a,2,1))]. 10191 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(7908(a,1),10133(a,1,1))]. 10192 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,10097,a(flip),b,10142,a),flip(a)]. 10193 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(7891,a,10164,a),flip(a)]. 10194 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(8138(a,1),10193(a,2,2))]. 10195 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(165(a,1),10194(a,1,2,2,2))]. 10196 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7953,a,10195,a)]. 10197 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6392(a,1),10195(a,1,2))]. 10198 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10195(a,1),10090(a,1))]. 10199 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(285,a,7940,a,b,10196,a),flip(a)]. 10200 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6468(a,1),10196(a,1,2))]. 10201 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [hyper(66,a,8536,a,b,10199,a)]. 10203 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8541,a,10197,a),flip(a)]. 10204 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8537,a,10197,a),flip(a)]. 10205 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [hyper(285,a,8658,a(flip),b,10197,a),flip(a)]. 10206 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(10203(a,1),5178(a,1,2,1))]. 10207 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(10203(a,1),7945(a,1,1))]. 10208 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(122,a,10204,a(flip),b,7401,a)]. 10209 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(285,a,8226,a(flip),b,10200,a),flip(a)]. 10210 T((x / y) \ 1,K(z,x \ y)) = (x / y) \ 1. [hyper(66,a,7746,a(flip),b,10200,a),flip(a)]. 10211 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(10200(a,2),7953(a,1))]. 10212 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(66,a,10055,a,b,10209,a)]. 10213 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10212(a,1),5240(a,1,1))]. 10214 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(8152(a,1),10213(a,1,1))]. 10215 T((x / y) \ 1,z / (x \ y)) = T((x / y) \ 1,(x \ y) \ z). [para(10210(a,1),10213(a,1,1))]. 10216 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [hyper(66,a,10201,a(flip),b,10205,a),flip(a)]. 10217 x \ T(y * x,K(y,z)) = T(T(y,K(x,z)),x). [para(10216(a,1),4927(a,1,1)),flip(a)]. 10219 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(10217(a,2),10092(a,1))]. 10220 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(285,a,8041,a(flip),b,10207,a),flip(a)]. 10221 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7286(a,1),10208(a,1,1,1,1))]. 10222 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(8315,a,10220,a)]. 10223 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7884(a,1),10222(a,1,1))]. 10224 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7879(a,1),10223(a,1,1))]. 10225 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(66,a,8886,a(flip),b,10167,a)]. 10226 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(285,a,5190,a,b,10190,a),flip(a)]. 10228 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(66,a,10196,a(flip),b,10226,a),flip(a)]. 10230 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9718(a,2),10108(a,1))]. 10231 K(x,T(y,L(y,z,u) \ 1)) = K(x,T(y,a(u,z,y))). [para(6596(a,1),10109(a,1,2))]. 10232 K(x,T(y,a(z,u,y))) = K(x,y). [hyper(66,a,9819,a(flip),b,10231,a),flip(a)]. 10234 T(x,T(y,a(z,u,y))) = x * K(x,y). [hyper(124,a,10232,a(flip),b,5125,a(flip)),flip(a)]. 10235 T(x,T(y,a(z,u,y))) = T(x,y). [hyper(285,a,5130,a,b,10234,a),flip(a)]. 10236 (x * T(y,a(z,u,y))) / T(x,y) = T(y,a(z,u,y)). [para(10235(a,1),179(a,1,2))]. 10237 T(x,T(a(y,z,x),u)) = T(x,a(y,z,x)). [hyper(8364,a,10236,a)]. 10238 T(T(x,y),T(a(z,u,x),w)) = T(T(x,a(z,u,x)),y). [para(10237(a,1),28(a,1,1)),flip(a)]. 10239 K(x,a(y,z,x)) * T(x,u) = T(T(x,a(y,z,x)),u). [hyper(8287,a,10238,a)]. 10240 T(x,T(y,a(z,u,x))) = T(x,y). [hyper(37,a,7825,a,b,10239,a)]. 10241 T(x,T(y,a(z,u,x))) = x * K(x,y). [hyper(285,a,5130,a(flip),b,10240,a),flip(a)]. 10242 K(x,T(y,a(z,u,x))) = K(x,y). [hyper(5207,a,10241,a)]. 10244 K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y). [para(10242(a,1),7682(a,1,2)),flip(a)]. 10245 K(x,a(y,z,x) / u) != w | K(x,u \ a(y,z,x)) = w. [para(10242(a,1),7708(a,1))]. 10246 T(a(x,y,z),K(z,u)) = a(x,y,z). [hyper(225,a,10244,a)]. 10248 a(x \ 1,x / y,y) = a(x \ 1,y \ x,y). [hyper(66,a,8983,a(flip),b,10246,a),flip(a)]. 10250 a(x \ 1,y \ x,y) / y = (1 / x) * (x / y). [hyper(123,a,10248,a(flip),b,3938,a)]. 10251 a((x * y) \ 1,(x * y) / x,x) = a((x * y) \ 1,y,x). [para(14(a,1),10248(a,2,2))]. 10252 (1 / (x * y)) * ((x * y) / x) = a((x * y) \ 1,y,x) / x. [para(14(a,1),10250(a,1,1,2)),flip(a)]. 10253 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(66,a,10184,a(flip),b,10176,a)]. 10254 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(66,a,497,a,b,10185,a)]. 10255 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(223(a,1),10185(a,1,1,1))]. 10256 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(10187(a,1),2232(a,1))]. 10257 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10080(a,2),10187(a,1,1))]. 10258 K(x,y) * (T(y,z) \ K(y,x)) = T(y,z) \ 1. [hyper(285,a,7404,a(flip),b,10154,a),flip(a)]. 10259 (1 / (x * y)) * (y * K(x,y)) = K(x,y) * ((1 / (x * y)) * y). [hyper(9166,a,10179,a),flip(a)]. 10260 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(37,a,10142,a,b,10192,a),flip(a)]. 10261 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1148(a,1),10260(a,1,2,2))]. 10262 1 / (((x / y) \ 1) \ K(z / (x \ y),(x / y) \ 1)) = T((x / y) \ 1,(x \ y) \ z). [hyper(66,a,5302,a(flip),b,10215,a)]. 10263 ((x / y) * T((x / y) \ 1,(x \ y) \ z)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(10215(a,1),7436(a,1,1,2))]. 10264 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(285,a,10171,a(flip),b,10225,a),flip(a)]. 10266 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(10137(a,1),10264(a,1,1,1)),flip(a)]. 10267 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10040(a,1),10186(a,2,1))]. 10268 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(5473,a,10206,a),flip(a)]. 10269 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(285,a,7884,a,b,10268,a),flip(a)]. 10270 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(10269(a,1),7920(a,1,1,1)),flip(a)]. 10271 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2606(a,1),10257(a,1,1,1,2)),flip(a)]. 10272 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(66,a,8290,a(flip),b,10077,a),flip(a)]. 10273 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(10272(a,1),5567(a,1,2,2))]. 10274 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(285,a,5525,a(flip),b,10270,a),flip(a)]. 10275 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(10211,a,10274,a)]. 10276 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9925(a,1),10253(a,1,2))]. 10277 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(66,a,7908,a,b,10162,a)]. 10278 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5320(a,1),10266(a,2,1))]. 10279 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(285,a,7860,a(flip),b,10278,a),flip(a)]. 10280 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(285,a,10116,a(flip),b,10279,a),flip(a)]. 10281 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(170(a,1),10099(a,1,2,1))]. 10282 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(285,a,5722,a(flip),b,8379,a),flip(a)]. 10283 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(117(a,1),10282(a,1,1,1))]. 10284 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8029,a(flip),b,8764,a)]. 10285 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8505,a(flip),b,10284,a)]. 10286 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(66,a,8765,a(flip),b,10285,a),flip(a)]. 10287 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(285,a,9439,a(flip),b,10286,a),flip(a)]. 10288 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5846(a,1),10287(a,1,1))]. 10289 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3193(a,1),10288(a,1,1))]. 10290 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(285,a,8744,a(flip),b,10289,a),flip(a)]. 10291 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8744,a(flip),b,10290,a)]. 10292 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8424,a,b,10291,a)]. 10293 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(170(a,1),10291(a,1,2)),flip(a)]. 10294 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8283(a,1),10293(a,1,2))]. 10295 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(66,a,6633,a(flip),b,10294,a)]. 10296 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(285,a,6626,a,b,10295,a),flip(a)]. 10297 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(15(a,1),10296(a,2,2))]. 10298 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4105(a,1),10297(a,1,2))]. 10299 K(T(T(x,y),z),(x * u) \ w) = K(T(T(x,y),z),u \ (x \ w)). [hyper(7544,a,9147,a),flip(a)]. 10301 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),z / (x * u)). [hyper(66,a,8003,a(flip),b,10299,a),flip(a)]. 10302 K(T(x,y),(x \ z) / u) = K(T(x,y),z / (x * u)). [hyper(66,a,8073,a(flip),b,10301,a)]. 10303 K(T(x / y,y),z / ((x / y) * u)) = K(y \ x,((x / y) \ z) / u). [para(118(a,1),10302(a,1,1)),flip(a)]. 10304 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((y / x) * u)). [para(118(a,1),10303(a,1,1)),flip(a)]. 10305 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((x \ y) * u)). [hyper(285,a,8705,a(flip),b,10304,a),flip(a)]. 10306 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9787(a,1),9256(a,1,2))]. 10307 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(66,a,9211,a(flip),b,10306,a),flip(a)]. 10308 K(((x \ 1) * (y \ 1)) \ 1,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(14(a,1),9267(a,1,1,1,1,1,1))]. 10309 K((x \ 1) \ y,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(6575(a,1),10308(a,1,1))]. 10310 K(x * y,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(6572(a,1),10309(a,1,1))]. 10311 R(1 / x,x,K(y * x,y)) = 1 / (y \ (y * x)). [hyper(395,a,10310,a)]. 10312 R(1 / x,x,K(y * x,y)) = 1 / x. [para(14(a,1),10311(a,2,2))]. 10313 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(10312(a,1),367(a,1,1))]. 10314 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5785(a,2),10313(a,1,2))]. 10315 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(5785(a,2),10314(a,2,2))]. 10316 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10315(a,2),215(a,1,2,2))]. 10317 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = T(1 / x,(1 / x) \ 1). [hyper(285,a,7566,a(flip),b,9271,a),flip(a)]. 10318 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = x \ 1. [hyper(285,a,597,a(flip),b,10317,a),flip(a)]. 10320 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(8961(a,1),9360(a,1,1,1,2)),flip(a)]. 10322 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [hyper(66,a,8105,a(flip),b,9767,a),flip(a)]. 10323 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5149(a,2),10322(a,1,2,1,1,1))]. 10324 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [hyper(66,a,9938,a(flip),b,10323,a)]. 10325 1 / (((x / y) \ 1) \ K(z / (x \ y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(5708(a,1),10262(a,1,2,2))]. 10326 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3359(a,1),8285(a,1,2,1)),flip(a)]. 10327 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3359(a,1),10326(a,1,2)),flip(a)]. 10329 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10327(a,1),593(a,1,1,1)),flip(a)]. 10331 K(T(T(x / (x / y),z),R(u,w,v5) * x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,8028,a(flip),b,8349,a)]. 10332 K(T(T(x / (x / y),z),x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,9511,a(flip),b,10331,a)]. 10334 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T((u / x) \ u,y),z). [hyper(66,a,7798,a(flip),b,10332,a),flip(a)]. 10335 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T(x,y),z). [para(90(a,1),10334(a,2,1,1))]. 10336 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(14(a,1),8818(a,1,2,1))]. 10338 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(23(a,2),10336(a,1,2))]. 10339 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(66,a,9387,a(flip),b,10338,a)]. 10340 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(285,a,9110,a(flip),b,10339,a),flip(a)]. 10343 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(15(a,1),10340(a,2,2,2))]. 10344 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(17(a,1),10340(a,1,1,2)),flip(a)]. 10345 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(66,a,7096,a(flip),b,10343,a),flip(a)]. 10346 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4250(a,1),10343(a,1,1,2))]. 10347 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(10343(a,1),6804(a,1,2))]. 10348 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10343(a,1),8165(a,1,1,2))]. 10349 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10343(a,1),8147(a,1,2,2))]. 10350 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(66,a,6738,a(flip),b,10345,a)]. 10352 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(96(a,1),10348(a,1,1)),flip(a)]. 10353 K(x / (y / L(z,u,w)),z) = K(x / (L(z,u,w) \ y),z). [para(6533(a,1),10348(a,1,1))]. 10354 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7402(a,1),10348(a,1,1)),flip(a)]. 10355 K((x * T(L(y,z,u),w)) / w,y) = K((x * L(y,z,u)) / w,y). [para(7445(a,1),10348(a,1,1)),flip(a)]. 10356 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7723(a,1),10348(a,1,1)),flip(a)]. 10357 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10356(a,1),8027(a,1,1,2)),flip(a)]. 10358 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(66,a,6740,a(flip),b,10349,a),flip(a)]. 10359 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10343(a,1),10349(a,1,2,2))]. 10360 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9631,a,10344,a),flip(a)]. 10361 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10344(a,1),8056(a,1,2,2))]. 10362 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10344(a,1),8138(a,1,2,1))]. 10363 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(96(a,1),10361(a,1,2))]. 10364 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5146(a,1),10362(a,1,2))]. 10365 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(66,a,8333,a(flip),b,10360,a)]. 10366 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(66,a,6846,a(flip),b,10360,a)]. 10367 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(34(a,2),10360(a,1,1))]. 10369 K(L(x,y,x) * z,x) = K(x * z,x). [hyper(285,a,8797,a(flip),b,10352,a),flip(a)]. 10370 K((L(x,y,z) \ x) \ u,x) = K((x \ u) * L(x,y,z),x). [hyper(66,a,9580,a,b,10352,a)]. 10371 K(x * (L(x,y,x) \ z),x) = K(z,x). [para(15(a,1),10369(a,1,1)),flip(a)]. 10372 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(10371(a,1),5150(a,1,1,2))]. 10373 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(10372(a,1),5240(a,1,1)),flip(a)]. 10374 T(x,L(x,y,x) * z) = T(x,x * z). [para(14(a,1),10373(a,1,2,2)),flip(a)]. 10376 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(285,a,5130,a(flip),b,10374,a),flip(a)]. 10379 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5207,a,10376,a)]. 10380 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(10379(a,1),9004(a,1,1))]. 10381 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(10363(a,1),9813(a,1,2))]. 10382 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(103(a,1),10381(a,1,2,2))]. 10383 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10364(a,1),9998(a,1,2))]. 10384 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [hyper(66,a,7881,a,b,10383,a)]. 10385 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10384,a),flip(a)]. 10386 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(103(a,1),10385(a,1,2,2))]. 10387 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(15(a,1),10382(a,1,2,2,2))]. 10388 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8740(a,1),10382(a,1,2))]. 10389 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(285,a,8244,a(flip),b,10388,a),flip(a)]. 10390 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(66,a,8244,a(flip),b,10388,a),flip(a)]. 10391 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(15(a,1),10389(a,1,2,2,2))]. 10392 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(66,a,8269,a,b,10390,a)]. 10393 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(15(a,1),10390(a,1,2,2))]. 10394 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(5191(a,1),10391(a,1,2,2)),flip(a)]. 10395 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(30(a,2),10354(a,1,1,2))]. 10397 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(113(a,1),10365(a,1,1)),flip(a)]. 10398 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10365(a,1),8743(a,1,1))]. 10399 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(285,a,8244,a(flip),b,10387,a),flip(a)]. 10400 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(66,a,8244,a(flip),b,10387,a),flip(a)]. 10401 K(x,T(x \ (y \ z),z)) = K(x,T(x \ (y \ z),y)). [para(15(a,1),10399(a,1,2,2))]. 10402 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10399(a,1),8500(a,1,1,1)),flip(a)]. 10403 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(17(a,1),10400(a,1,2,2)),flip(a)]. 10404 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(66,a,8568,a(flip),b,10403,a)]. 10405 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10395(a,1),6831(a,1,1,1,2))]. 10406 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6797(a,1),10347(a,1,2))]. 10407 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(285,a,8027,a(flip),b,10357,a),flip(a)]. 10408 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(341(a,1),10407(a,1,2,2,1,1))]. 10409 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(5234(a,1),10407(a,1,2,2))]. 10410 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(7708,a,10408,a),flip(a)]. 10411 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5545(a,1),10408(a,1,2,2))]. 10412 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6094(a,1),10408(a,1,2,2,1))]. 10415 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7997(a,1),10408(a,1,2,2))]. 10416 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8739(a,1),10415(a,1,2,2)),flip(a)]. 10417 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(66,a,9966,a(flip),b,10411,a),flip(a)]. 10418 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(112(a,1),10412(a,1,2,2))]. 10420 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(10146,a,10417,a)]. 10421 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [hyper(8434,a,10420,a),flip(a)]. 10422 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(15(a,1),10420(a,1,2,2,1)),flip(a)]. 10423 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(19(a,2),10420(a,1,2,2)),flip(a)]. 10424 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(5000(a,1),10420(a,1,2)),flip(a)]. 10425 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [para(14(a,1),10421(a,1,2,2)),flip(a)]. 10427 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(285,a,7968,a,b,10422,a)]. 10428 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(66,a,9337,a(flip),b,10422,a)]. 10429 K(x \ 1,T(y,z \ x)) = K(x \ 1,T(y,z)). [hyper(10098,a,10424,a)]. 10430 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [hyper(66,a,6628,a,b,10425,a)]. 10431 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(66,a,9545,a,b,10428,a)]. 10432 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [hyper(124,a,10428,a(flip),b,5125,a(flip)),flip(a)]. 10433 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(15(a,1),10428(a,1,2,2,2)),flip(a)]. 10434 K((x * y) \ 1,T(z,y)) = K((x * y) \ 1,T(z,x)). [para(14(a,1),10429(a,1,2,2))]. 10435 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(17(a,1),10430(a,1,2,2))]. 10436 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(15(a,1),10431(a,1,2,2,2))]. 10437 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(10083,a,10433,a),flip(a)]. 10438 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(66,a,10070,a(flip),b,10433,a),flip(a)]. 10440 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5146(a,1),10418(a,1,2,2,1)),flip(a)]. 10441 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8080(a,1),10418(a,1,2,2,1)),flip(a)]. 10442 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(285,a,5130,a,b,10432,a),flip(a)]. 10443 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(15(a,1),10442(a,1,2,2,2)),flip(a)]. 10444 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(115(a,1),10443(a,1,2)),flip(a)]. 10445 K((x * y) \ 1,T(T(z,x),y)) = K((x * y) \ 1,z). [hyper(285,a,7991,a(flip),b,10434,a),flip(a)]. 10446 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [hyper(285,a,8096,a(flip),b,10435,a),flip(a)]. 10447 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(285,a,10074,a,b,10436,a),flip(a)]. 10448 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(7708,a,10441,a),flip(a)]. 10450 K(((x \ 1) * y) \ 1,T(T(z,x),y)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,10095,a(flip),b,10445,a)]. 10451 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(10083,a,10447,a),flip(a)]. 10452 K(x \ y,T(z,(u * x) \ y)) = K(x \ y,T(z,T(u,x))). [para(27(a,2),10447(a,2,2,2))]. 10455 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(66,a,9376,a,b,10451,a)]. 10456 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(66,a,9320,a(flip),b,10455,a),flip(a)]. 10457 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(66,a,5734,a(flip),b,10406,a)]. 10458 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(10406(a,1),5252(a,1,1))]. 10459 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(10406(a,1),5217(a,1,2)),flip(a)]. 10461 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(10457(a,1),488(a,1,1))]. 10462 L(x,y,1 / (y * x)) \ 1 = T((1 / (y * x)) * y,x). [para(438(a,1),10458(a,1,1)),flip(a)]. 10464 1 / T((1 / (x * y)) * x,y) = L(y,x,1 / (x * y)). [hyper(185,a,10462,a)]. 10466 1 / T((1 / (x * y)) * x,y) != z | L(y,x,(x * y) \ 1) = z. [para(10464(a,2),3659(a,1))]. 10467 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(30(a,2),10358(a,1,2,1,1))]. 10468 K((x \ y) * L(x,z,z \ 1),x) = K(a(z \ 1,z,x) \ y,x). [para(3937(a,1),10370(a,1,1,1)),flip(a)]. 10469 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(66,a,8567,a(flip),b,10394,a),flip(a)]. 10470 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(17(a,1),10469(a,1,2,2)),flip(a)]. 10471 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5364,a,10398,a),flip(a)]. 10472 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10471(a,1),8761(a,2,2))]. 10473 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(285,a,9535,a(flip),b,10409,a),flip(a)]. 10475 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(16(a,1),10473(a,1,2,2)),flip(a)]. 10476 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(178(a,1),10473(a,1,2,2)),flip(a)]. 10477 K(T(x,y),T(z,u * L(x,w,v5))) = K(x,T(z * K(y,z),u)). [hyper(66,a,8030,a(flip),b,10475,a)]. 10478 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(66,a,10416,a(flip),b,10476,a)]. 10479 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(66,a,7696,a(flip),b,10478,a),flip(a)]. 10480 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(285,a,6628,a,b,10479,a),flip(a)]. 10481 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10480(a,1),9898(a,1,1)),flip(a)]. 10482 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(66,a,9978,a(flip),b,10410,a)]. 10483 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7708,a,10482,a),flip(a)]. 10485 K(x,y \ T(x,z)) = K(x,y \ x). [para(5190(a,2),10483(a,1,2,2))]. 10486 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(5146(a,1),10483(a,1,2,2)),flip(a)]. 10487 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5158(a,1),10483(a,1,2,2)),flip(a)]. 10488 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(5268(a,1),10483(a,1,2,2)),flip(a)]. 10489 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(5294(a,1),10483(a,1,2,2)),flip(a)]. 10490 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5516(a,1),10483(a,1,2,2)),flip(a)]. 10491 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6254(a,1),10483(a,1,2,2)),flip(a)]. 10492 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(7239(a,1),10483(a,1,2,2)),flip(a)]. 10493 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8080(a,1),10483(a,1,2,2)),flip(a)]. 10494 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10485(a,1),7917(a,1,1,2))]. 10495 K(x,(y * z) \ (x * y)) = K(x,z \ x). [hyper(6639,a,10486,a),flip(a)]. 10496 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10489(a,1),10260(a,1,2)),flip(a)]. 10497 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5818(a,1),10493(a,1,2,2))]. 10498 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6585(a,1),10493(a,1,2,2)),flip(a)]. 10499 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(66,a,9418,a,b,10490,a)]. 10500 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(285,a,10112,a(flip),b,10496,a),flip(a)]. 10501 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(10496(a,1),7893(a,1,1,1))]. 10502 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10500(a,1),7686(a,1,1))]. 10503 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(90(a,1),10497(a,1,2,2)),flip(a)]. 10505 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(66,a,7530,a(flip),b,10503,a),flip(a)]. 10506 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(285,a,9694,a(flip),b,10488,a),flip(a)]. 10507 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(442(a,1),10491(a,1,2))]. 10508 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(5101(a,1),10491(a,1,2,2,2))]. 10509 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(5312(a,1),10491(a,1,2,2,2))]. 10510 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(8035(a,1),10491(a,1,2,2,2))]. 10511 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(10510(a,1),7399(a,1,1,2)),flip(a)]. 10513 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(37,a,7968,a,b,10427,a)]. 10514 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(66,a,10120,a,b,10513,a)]. 10515 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(66,a,8313,a,b,10513,a)]. 10516 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(66,a,9559,a,b,10514,a)]. 10517 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(66,a,9633,a(flip),b,10515,a)]. 10518 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10517(a,1),10103(a,1,2)),flip(a)]. 10519 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(66,a,7884,a,b,10516,a)]. 10520 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(10098,a,10438,a)]. 10521 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w * x)). [hyper(66,a,10082,a(flip),b,10452,a),flip(a)]. 10522 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(66,a,7995,a(flip),b,10456,a),flip(a)]. 10523 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(122,a,10522,a(flip),b,5124,a(flip))]. 10524 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6423,a,10467,a)]. 10525 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1051(a,1),10524(a,1,2,2,1)),flip(a)]. 10526 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1052(a,1),10524(a,1,2,2,1))]. 10527 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(285,a,8520,a,b,10472,a)]. 10529 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(14(a,1),10520(a,1,2,2)),flip(a)]. 10530 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10529(a,1),8804(a,1,1))]. 10531 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(66,a,7991,a(flip),b,10397,a)]. 10532 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(589(a,1),10423(a,1,2,2))]. 10533 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(66,a,7777,a(flip),b,10532,a),flip(a)]. 10535 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(66,a,8038,a(flip),b,10533,a)]. 10536 T(x,T(y,a(x,z,u))) = x * K(x,y). [hyper(124,a,10533,a(flip),b,5125,a(flip)),flip(a)]. 10537 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(285,a,5130,a,b,10536,a),flip(a)]. 10538 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10537(a,1),8555(a,1,1,1))]. 10539 x * (a(1 / y,y,x) / x) = x * (1 / L(x,y,y \ 1)). [hyper(66,a,3830,a(flip),b,10459,a)]. 10541 x * (a(y \ 1,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(3935(a,1),10539(a,1,2,1))]. 10542 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (a(y \ 1,y,x) / x))) = K(x,z \ x). [para(10541(a,2),10495(a,1,2,2))]. 10543 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1584,a,10461,a)]. 10544 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(180,a,10543,a)]. 10545 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(136,a,10543,a)]. 10546 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(10544(a,1),6344(a,2,2,1))]. 10547 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(10544(a,1),6989(a,2,1,1))]. 10548 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),L(z,y,x)). [para(10545(a,1),4731(a,1,2,2))]. 10549 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6864(a,1),10547(a,1,1))]. 10550 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [hyper(185,a,10549,a)]. 10551 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10549(a,1),3894(a,2,1))]. 10552 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(9467(a,1),10550(a,2,1,1))]. 10553 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [hyper(647,a,10548,a),flip(a)]. 10554 K(L(x,y,z),a(z,y,x)) = a(z,y,x) / a(z,y,x). [para(10553(a,1),5123(a,2,2))]. 10555 K(L(x,y,z),a(z,y,x)) = 1. [hyper(285,a,85,a(flip),b,10554,a),flip(a)]. 10557 K(((x / y) * (y / z)) \ x,a(x / y,y / z,z)) = 1. [para(654(a,1),10555(a,1,1))]. 10558 K(T(x,y),T(z,u * L(x,w,v5))) = K(T(x,y),T(z,u)). [hyper(285,a,8030,a(flip),b,10477,a),flip(a)]. 10559 K(T(x,y),T(z,y)) = K(R(x,y,L(x,u,w)),z). [hyper(66,a,8109,a(flip),b,10558,a),flip(a)]. 10561 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,7990,a(flip),b,10559,a),flip(a)]. 10563 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(66,a,8011,a(flip),b,10561,a),flip(a)]. 10564 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(10561(a,1),5190(a,2,1)),flip(a)]. 10565 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(66,a,7990,a(flip),b,10563,a),flip(a)]. 10567 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(10565(a,1),5232(a,2,1,1))]. 10568 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(285,a,5232,a,b,10567,a),flip(a)]. 10569 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(285,a,32,a,b,10564,a),flip(a)]. 10570 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(285,a,7753,a(flip),b,10531,a)]. 10571 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(90(a,1),10570(a,1,1,1)),flip(a)]. 10572 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(16(a,1),10571(a,1,1,2)),flip(a)]. 10573 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(87(a,1),10571(a,1,1,2)),flip(a)]. 10575 K(a(x \ 1,x,y) \ z,y) = K(z,y). [hyper(66,a,8715,a(flip),b,10468,a),flip(a)]. 10577 K(x,a(y \ 1,y,x) \ z) = (x \ K(z,x)) \ (x \ 1). [para(10575(a,1),5649(a,1,1,2)),flip(a)]. 10578 K(x,a(y \ 1,y,x) \ z) = K(x,z). [hyper(285,a,5649,a(flip),b,10577,a),flip(a)]. 10579 K(x,a(y \ 1,y,x) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,10578,a),flip(a)]. 10580 K(x,y \ a(z \ 1,z,x)) = K(x,y \ 1). [hyper(10245,a,10579,a)]. 10581 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(38,a,10191,a,b,10494,a),flip(a)]. 10582 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10581,a)]. 10583 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(66,a,10178,a,b,10582,a)]. 10584 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(90(a,1),10583(a,1,2,2,1,2))]. 10585 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(66,a,7147,a(flip),b,10584,a)]. 10586 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(7895,a,10501,a),flip(a)]. 10587 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(10586(a,1),8773(a,1,2))]. 10588 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(285,a,7399,a(flip),b,10511,a),flip(a)]. 10589 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(96(a,1),10588(a,1,1,2,2))]. 10590 K((x * (y * z)) / u,T(z,x * (y * z))) = K(u \ (x * (z * y)),z). [hyper(8435,a,10589,a)]. 10591 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),10589(a,2,1))]. 10592 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(285,a,7872,a(flip),b,10518,a),flip(a)]. 10593 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(10113,a,10592,a)]. 10594 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(17(a,1),10593(a,1,2,2)),flip(a)]. 10595 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(10594(a,1),5178(a,1,2,1))]. 10596 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(66,a,9004,a(flip),b,10380,a),flip(a)]. 10597 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(7997(a,1),10402(a,2,1))]. 10598 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(10523(a,1),9692(a,1,1))]. 10599 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (x * (z * y)),z). [hyper(66,a,10382,a(flip),b,10590,a)]. 10600 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(66,a,6924,a(flip),b,10405,a),flip(a)]. 10602 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(7991(a,1),10530(a,1,1)),flip(a)]. 10603 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(66,a,9905,a,b,10602,a)]. 10605 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(619,a,10546,a)]. 10606 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(30(a,2),10605(a,1,1))]. 10607 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(128,a,10606,a)]. 10608 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1509(a,1),10607(a,1,1))]. 10609 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(66,a,10033,a(flip),b,10448,a)]. 10610 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(7708,a,10609,a),flip(a)]. 10612 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5439(a,1),10610(a,1,2,2,1)),flip(a)]. 10613 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(285,a,9059,a(flip),b,10591,a),flip(a)]. 10615 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5558,a,10598,a),flip(a)]. 10616 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(66,a,10506,a,b,10615,a)]. 10617 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(285,a,10596,a(flip),b,10366,a),flip(a)]. 10619 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(285,a,6845,a(flip),b,10617,a),flip(a)]. 10620 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(66,a,7738,a(flip),b,10538,a)]. 10621 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(9082,a,10346,a)]. 10623 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (x \ a(y \ 1,y,x)))) = K(x,z \ x). [hyper(66,a,10498,a(flip),b,10542,a)]. 10624 K(x,((1 / L(x,y,y \ 1)) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(15(a,1),10623(a,1,2,2))]. 10625 K(x,((L(x,y,y \ 1) \ 1) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [hyper(66,a,7160,a(flip),b,10624,a)]. 10627 K(x,((L(x,y,y \ 1) \ 1) * z) \ 1) = K(x,z \ x). [hyper(66,a,10580,a(flip),b,10625,a)]. 10629 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5473,a,10595,a),flip(a)]. 10630 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(285,a,10169,a(flip),b,10629,a),flip(a)]. 10631 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(66,a,10169,a(flip),b,10630,a)]. 10632 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9822(a,1),10631(a,1,2))]. 10633 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(66,a,10276,a(flip),b,10632,a),flip(a)]. 10634 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(66,a,10176,a(flip),b,10633,a),flip(a)]. 10635 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(66,a,7881,a,b,10634,a)]. 10636 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(66,a,9750,a(flip),b,10635,a)]. 10637 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(285,a,8904,a(flip),b,10636,a),flip(a)]. 10639 K(x,K(y,a(z,x,u))) = 1. [para(208(a,1),10637(a,1,2,2,3))]. 10641 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10639(a,1),7862(a,1,2)),flip(a)]. 10642 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(285,a,13,a(flip),b,10641,a),flip(a)]. 10643 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8227,a,10642,a)]. 10644 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [hyper(124,a,10643,a(flip),b,27,a(flip)),flip(a)]. 10646 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(9540(a,1),10608(a,1,2,2))]. 10647 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5591,a,10646,a)]. 10649 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(66,a,9199,a(flip),b,10507,a),flip(a)]. 10651 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(66,a,8612,a(flip),b,10649,a),flip(a)]. 10653 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(23(a,2),10651(a,2,2))]. 10654 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5360(a,1),10653(a,1,2,2)),flip(a)]. 10655 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10654(a,1),5633(a,1,2,2)),flip(a)]. 10656 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(285,a,5633,a(flip),b,10655,a),flip(a)]. 10657 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5143(a,1),10656(a,1,1,2)),flip(a)]. 10658 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(66,a,10621,a(flip),b,10657,a)]. 10661 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(38,a,6177,a(flip),b,10551,a),flip(a)]. 10662 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(66,a,7261,a,b,10661,a)]. 10663 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1080(a,1),10662(a,1,2))]. 10664 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(136,a,10663,a)]. 10665 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(10663(a,1),5254(a,2,1)),flip(a)]. 10666 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(10664(a,1),6938(a,1,2,2,1)),flip(a)]. 10667 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(285,a,7908,a,b,10665,a),flip(a)]. 10668 L(K(x,y) * K(x,K(y,z * u)),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(10386(a,1),9010(a,1,1,2))]. 10669 (x * (y * T(z,u))) / (x * (y * z)) = L(K(z,T(u,x * y)),y * z,x). [para(7968(a,1),10668(a,1,1)),flip(a)]. 10670 (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). [hyper(285,a,6653,a(flip),b,10669,a),flip(a)]. 10671 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(285,a,16,a(flip),b,9180,a),flip(a)]. 10673 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(9170(a,1),10671(a,1,3))]. 10674 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(285,a,10152,a(flip),b,9440,a),flip(a)]. 10675 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(285,a,10292,a(flip),b,10674,a),flip(a)]. 10676 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(208(a,1),10675(a,2,2,2))]. 10677 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(66,a,10428,a(flip),b,10676,a)]. 10678 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(14(a,1),10677(a,1,2,2))]. 10679 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(66,a,8414,a(flip),b,10678,a)]. 10683 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(285,a,8419,a(flip),b,10679,a),flip(a)]. 10684 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(17(a,1),10683(a,1,2,2,1)),flip(a)]. 10685 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [hyper(124,a,10684,a(flip),b,5125,a(flip)),flip(a)]. 10686 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(285,a,5130,a,b,10685,a),flip(a)]. 10687 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(285,a,9470,a(flip),b,9471,a),flip(a)]. 10688 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(285,a,6468,a(flip),b,10687,a),flip(a)]. 10689 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(66,a,9659,a(flip),b,10688,a),flip(a)]. 10691 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1245(a,1),10689(a,1,1))]. 10692 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(285,a,9495,a(flip),b,9493,a),flip(a)]. 10693 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(285,a,6592,a(flip),b,10692,a),flip(a)]. 10694 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(66,a,9664,a(flip),b,10693,a),flip(a)]. 10696 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(8426,a,9573,a),flip(a)]. 10697 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(66,a,5918,a(flip),b,9625,a),flip(a)]. 10698 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(78(a,1),10697(a,2,1))]. 10699 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(285,a,4600,a(flip),b,9682,a),flip(a)]. 10700 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(604(a,1),10699(a,1,2))]. 10701 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6555,a,10700,a),flip(a)]. 10702 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(116(a,1),9685(a,2,2))]. 10703 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(285,a,9905,a,b,10702,a),flip(a)]. 10704 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(9684(a,1),10703(a,1,3)),flip(a)]. 10705 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(66,a,10603,a(flip),b,10704,a),flip(a)]. 10707 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(10705(a,1),32(a,2,1))]. 10708 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(5336(a,1),10705(a,1,1))]. 10709 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(10705(a,1),5808(a,1,1))]. 10710 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(285,a,30,a,b,10707,a),flip(a)]. 10711 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(5336(a,1),10708(a,2,1))]. 10712 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [hyper(66,a,8790,a(flip),b,10711,a)]. 10713 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(66,a,25,a(flip),b,10711,a)]. 10714 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10710(a,2,1))]. 10715 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [hyper(66,a,9615,a(flip),b,10712,a)]. 10716 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10714(a,1,1))]. 10717 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [hyper(66,a,7526,a(flip),b,10715,a),flip(a)]. 10718 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10713(a,1),479(a,1))]. 10719 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(9681(a,1),10713(a,1,1))]. 10720 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(116(a,1),10719(a,1,2))]. 10721 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(66,a,9905,a,b,10720,a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(116(a,1),10014(a,1,2))]. 10723 K(((x / y) * (z * y)) \ (x * (z * y)),z) = L(K(y,z),T(x,z * y),z * y). [hyper(66,a,9916,a,b,10722,a)]. 10724 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(10079(a,1),10255(a,1,1)),flip(a)]. 10725 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5316(a,1),10724(a,2,2))]. 10726 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10036(a,1),10267(a,1,2,1))]. 10727 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5545(a,1),10726(a,1,2))]. 10729 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7801(a,1),10273(a,1,1))]. 10730 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10314(a,1),10316(a,1,2,2))]. 10731 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9543(a,1),10730(a,1,2,2))]. 10732 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(116(a,1),10731(a,1,2)),flip(a)]. 10733 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(285,a,9817,a(flip),b,10696,a),flip(a)]. 10735 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(285,a,8013,a(flip),b,10733,a),flip(a)]. 10736 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6775(a,1,1,2))]. 10737 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(285,a,626,a(flip),b,10736,a),flip(a)]. 10739 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(136,a,10737,a)]. 10740 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(39,a,5448,a,b,10737,a)]. 10742 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(116(a,1),10739(a,1,2)),flip(a)]. 10743 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10739(a,1),5453(a,1,2)),flip(b)]. 10744 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7884(a,2),10739(a,1,1))]. 10745 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5360(a,1),10740(a,1,2,2)),flip(a)]. 10746 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(66,a,7945,a,b,10745,a)]. 10747 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6651(a,1),10745(a,1,2,1)),flip(a)]. 10748 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7941(a,1),10745(a,2,2))]. 10750 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(224,a,9194,a,b,10742,a)]. 10751 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6270,a,10750,a),flip(a)]. 10753 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(10750(a,2),263(a,1))]. 10754 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(7884(a,1),10750(a,2,1))]. 10756 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7884(a,2),10744(a,2,2,1))]. 10757 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8232(a,1),10746(a,1,1))]. 10758 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(66,a,9408,a(flip),b,10748,a)]. 10759 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6270,a,10758,a),flip(a)]. 10760 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(285,a,8533,a(flip),b,10759,a),flip(a)]. 10761 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(10759(a,2),7399(a,1,1))]. 10763 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(10760(a,1),4144(a,1,1)),flip(a)]. 10764 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(285,a,8915,a(flip),b,10761,a),flip(a)]. 10765 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(7884(a,1),10754(a,1,1,1))]. 10766 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(303,a,10756,a),flip(a)]. 10767 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7884(a,2),10766(a,1,2,1))]. 10768 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6651(a,1),10747(a,1,1))]. 10769 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(268(a,1),6799(a,1,2)),flip(a)]. 10770 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(285,a,6468,a(flip),b,10769,a),flip(a)]. 10771 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(268(a,1),10770(a,1,2))]. 10772 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(285,a,6871,a(flip),b,10771,a),flip(a)]. 10773 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(10772(a,1),6019(a,2,2)),flip(a)]. 10774 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(78(a,1),10773(a,1,2,1))]. 10775 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(37,a,3896,a(flip),b,10774,a),flip(a)]. 10776 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(37,a,2756,a(flip),b,10774,a),flip(a)]. 10777 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(123,a,10774,a(flip),b,6241,a)]. 10778 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(10774(a,1),785(a,2,1,1))]. 10779 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(15(a,1),10775(a,1,1))]. 10780 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(10779(a,1),5344(a,1,2)),flip(a)]. 10781 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(285,a,5344,a(flip),b,10780,a),flip(a)]. 10782 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(14(a,1),10781(a,1,1,1)),flip(a)]. 10783 K(x \ ((y / x) \ 1),y) = K(y \ 1,y). [para(90(a,1),10781(a,1,1,1))]. 10784 K((x * y) \ 1,1 \ (x * y)) = K(y \ (x \ 1),x * y). [para(78(a,2),10782(a,1,2))]. 10785 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(90(a,1),10776(a,1,2,2))]. 10786 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(10785(a,2),2622(a,1,2))]. 10787 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(7158(a,1),10786(a,1,2))]. 10788 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(6702(a,1),10787(a,1,2))]. 10789 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(87(a,1),10788(a,1,2,1,1)),flip(a)]. 10791 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(285,a,10774,a(flip),b,10789,a),flip(a)]. 10792 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(10791(a,1),3614(a,1,1))]. 10793 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(38,a,6884,a,b,10792,a)]. 10794 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(10793(a,1),6240(a,1,1))]. 10795 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5119(a,2),6823(a,1,2,1,2)),flip(a)]. 10796 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6958(a,1,2))]. 10797 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(285,a,5798,a(flip),b,10796,a),flip(a)]. 10798 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(9081(a,1),10797(a,1,1,1,1))]. 10799 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7045(a,1),10798(a,1,1))]. 10801 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9221(a,1),10799(a,1,1))]. 10802 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),7426(a,1,2,2))]. 10803 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(8781,a,8784,a),flip(a)]. 10804 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(87(a,1),10803(a,1,2,1,2,1)),flip(a)]. 10805 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(285,a,8780,a(flip),b,8925,a),flip(a)]. 10806 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8357(a,1),10805(a,1,2,1,2,1))]. 10807 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(z,u) \ 1)). [para(9312(a,2),9321(a,2,2,1,1))]. 10808 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6086(a,1),9413(a,1,1,2))]. 10809 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(285,a,9943,a(flip),b,9553,a),flip(a)]. 10811 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,6392,a(flip),b,10809,a),flip(a)]. 10812 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6385(a,1),10811(a,1,2,2))]. 10813 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [hyper(285,a,10324,a(flip),b,10446,a),flip(a)]. 10814 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [hyper(285,a,6632,a(flip),b,10813,a),flip(a)]. 10815 T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7587(a,1),10802(a,1,2))]. 10816 T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). [hyper(66,a,10181,a(flip),b,10815,a)]. 10818 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(66,a,10275,a(flip),b,10816,a),flip(a)]. 10819 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(u,z))). [para(5320(a,1),10807(a,2,2,2))]. 10820 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(y * K(z,u),T(u,z)) \ 1). [hyper(285,a,8412,a(flip),b,10819,a),flip(a)]. 10821 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(T(u,z) \ (y * u)) \ 1). [para(7457(a,1),10820(a,2,2,1))]. 10822 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(y * u) \ T(u,z)). [hyper(285,a,6392,a(flip),b,10821,a),flip(a)]. 10823 T(K(x,T(K(y,z) / u,T(u,y))),y) = K(x,(u * y) \ T(y,z)). [hyper(66,a,9780,a(flip),b,10822,a)]. 10824 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8302(a,1),10808(a,1,2))]. 10825 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7881(a,1),10824(a,1,2))]. 10827 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10825(a,1),8275(a,1,2,2))]. 10828 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(66,a,8300,a(flip),b,10827,a),flip(a)]. 10830 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(285,a,8460,a(flip),b,10828,a),flip(a)]. 10832 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(8888(a,1),6667(a,1,1))]. 10833 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(15(a,1),10832(a,1,2,2)),flip(a)]. 10835 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(5190(a,2),10833(a,2,2))]. 10836 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(285,a,5101,a(flip),b,10835,a),flip(a)]. 10837 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,10836,a),flip(a)]. 10838 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(10836(a,2),4935(a,1))]. 10839 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10837(a,1,1,3))]. 10840 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(285,a,8027,a(flip),b,6847,a),flip(a)]. 10841 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(6181(a,1),10840(a,1,1))]. 10842 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(66,a,8027,a(flip),b,10841,a),flip(a)]. 10843 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(66,a,9962,a(flip),b,10842,a),flip(a)]. 10845 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(66,a,8046,a,b,10843,a)]. 10846 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(66,a,10616,a(flip),b,10845,a)]. 10847 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(66,a,626,a(flip),b,10846,a)]. 10849 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(66,a,9227,a(flip),b,10847,a)]. 10850 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(66,a,10486,a,b,10849,a)]. 10851 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(90(a,1),10850(a,1,2,2,1)),flip(a)]. 10852 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(10851(a,1),7986(a,1,1))]. 10854 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(66,a,7998,a(flip),b,10852,a)]. 10855 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(10852(a,1),9644(a,1))]. 10856 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(66,a,9589,a(flip),b,10854,a)]. 10857 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,9481,a(flip),b,10854,a),flip(a)]. 10858 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(66,a,9391,a,b,10856,a)]. 10859 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(60,a,10856,a)]. 10860 K(x,((x * y) / z) \ x) = K(x,z / y). [para(14(a,1),10856(a,1,2,2)),flip(a)]. 10861 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10856(a,1),6101(a,1,1))]. 10862 K(x,((y * x) / z) \ x) = K(x,z / y). [hyper(66,a,7595,a,b,10860,a)]. 10863 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(87(a,1),10860(a,1,2,1)),flip(a)]. 10864 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(4179(a,1),10860(a,1,2,1))]. 10865 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(7653(a,1),10860(a,1,2,1))]. 10866 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(658(a,1),10863(a,1,2,1,2))]. 10867 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10858(a,2),7682(a,2,1)),flip(a)]. 10868 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5760,a,10859,a)]. 10869 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(66,a,9602,a,b,10868,a)]. 10870 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5046(a,1),10857(a,1,2,1))]. 10871 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,6640,a(flip),b,10870,a)]. 10872 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1245(a,1),10871(a,1,2)),flip(a)]. 10873 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(66,a,10535,a(flip),b,10866,a)]. 10874 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(9392,a,10867,a)]. 10875 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [hyper(124,a,10874,a(flip),b,5125,a(flip))]. 10876 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5180,a,10875,a),flip(a)]. 10877 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10875(a,1),5180(a,1))]. 10878 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(66,a,9273,a(flip),b,10876,a),flip(a)]. 10879 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(87(a,1),10878(a,1,2,1,1)),flip(a)]. 10880 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(66,a,6640,a(flip),b,10865,a)]. 10881 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(9141,a,10880,a)]. 10882 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(27(a,2),10881(a,1,2,2))]. 10883 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(66,a,8143,a(flip),b,10882,a),flip(a)]. 10884 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(66,a,10864,a,b,10883,a)]. 10885 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(118(a,1),10884(a,2,2,2))]. 10886 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(66,a,6640,a(flip),b,10885,a)]. 10887 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(66,a,10850,a(flip),b,10886,a)]. 10888 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,10887,a),flip(a)]. 10889 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6126(a,1),10888(a,1,2))]. 10890 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(66,a,8794,a(flip),b,10889,a),flip(a)]. 10891 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6848(a,1,2))]. 10892 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(285,a,9008,a(flip),b,7388,a),flip(a)]. 10894 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5289(a,1),10892(a,2,2,2))]. 10895 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(187(a,1),10894(a,2,2))]. 10897 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(285,a,13,a(flip),b,10895,a),flip(a)]. 10899 R(x,K(y,z),R(z,u,w)) = x. [para(7383(a,1),10897(a,1,3))]. 10900 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10899,a)]. 10902 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(9344(a,2),10900(a,1,2))]. 10903 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(285,a,16,a(flip),b,7389,a),flip(a)]. 10905 R(x,K(y,z),L(z,u,w)) = x. [para(7384(a,1),10903(a,1,3))]. 10906 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10905,a)]. 10909 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7776(a,1),10905(a,1,2))]. 10910 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(66,a,7425,a(flip),b,10909,a)]. 10911 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(66,a,3247,a(flip),b,10906,a),flip(a)]. 10912 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9217(a,1),10910(a,1,2)),flip(a)]. 10913 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(10912(a,1),10320(a,2,1))]. 10914 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(285,a,9203,a(flip),b,10913,a),flip(a)]. 10916 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8961(a,1),10914(a,1,2,1))]. 10918 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7884(a,1),9367(a,1,1,2))]. 10919 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K(u \ (L(y,z,x) * (x * z)),y). [hyper(285,a,9815,a(flip),b,9496,a),flip(a)]. 10920 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (L(z,y,x) * (x * y)),z). [hyper(66,a,9721,a(flip),b,10919,a)]. 10921 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (y * z)),y). [hyper(66,a,10599,a(flip),b,10920,a),flip(a)]. 10923 K((K(x,L(y,z,u) / w) * L(y,z,u)) / w,y) = K((x * (1 / (w / L(y,z,u)))) / x,y). [para(5708(a,1),9563(a,1,1,1,1))]. 10924 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5770,a,10727,a)]. 10925 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6182(a,1),10778(a,1,1,2))]. 10927 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(10774(a,1),10925(a,1,1))]. 10928 (x \ (((x * y) \ 1) \ 1)) / z != ((x \ (((x * y) \ 1) \ 1)) / y) * u | u \ y = z. [para(10927(a,1),48(a,1)),flip(a)]. 10929 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(10777(a,1),10927(a,2,1))]. 10930 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(66,a,10794,a(flip),b,10929,a),flip(a)]. 10931 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,6241,a(flip),b,10930,a)]. 10932 (((x * y) \ 1) \ 1) * K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,6068,a(flip),b,10930,a)]. 10933 (x * y) * ((y * x) * (1 / (x * y))) = ((y * x) \ 1) \ 1. [hyper(66,a,5880,a,b,10932,a)]. 10935 T(x * y,(y * x) \ 1) = ((x * y) \ 1) \ 1. [hyper(66,a,5885,a(flip),b,10933,a)]. 10936 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,5876,a(flip),b,10935,a)]. 10937 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(89(a,1),10891(a,2,1))]. 10938 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(5254(a,2),10937(a,2,2,2))]. 10939 K(L(x,x \ 1,y),z) = K(x,z). [hyper(344,a,10938,a),flip(a)]. 10940 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(66,a,8009,a(flip),b,10939,a),flip(a)]. 10941 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(66,a,7990,a(flip),b,10940,a),flip(a)]. 10942 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(10940(a,2),9140(a,1))]. 10944 L(K(x,y),K(z,x),u) = K(x,y). [hyper(66,a,8733,a(flip),b,10941,a)]. 10946 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(124,a,10944,a(flip),b,23,a(flip))]. 10947 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(10944(a,1),34(a,1,1)),flip(a)]. 10948 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(10944(a,1),410(a,1,2,1))]. 10949 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10944(a,1),411(a,1,2,1))]. 10952 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(32(a,2),10942(a,1,2))]. 10953 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(118(a,1),10942(a,1,1))]. 10954 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(118(a,1),10942(a,1,2))]. 10955 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(208(a,1),10942(a,1,1))]. 10956 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(197(a,1),10942(a,1,1))]. 10958 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(5617(a,1),10942(a,1,1))]. 10959 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7697(a,1),10942(a,1))]. 10960 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7761(a,1),10942(a,1))]. 10961 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(10940(a,1),10942(a,1))]. 10962 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(118(a,1),10960(a,1,2,1))]. 10963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7694(a,1),10960(a,1))]. 10964 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7994(a,1),10960(a,1))]. 10965 K((x \ 1) * y,T(T(z,y),x)) != u | K((x \ 1) * y,z) = u. [para(8353(a,1),10960(a,1))]. 10966 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(169(a,1),10953(a,1,2))]. 10967 K((x \ y) \ 1,T(z,y)) != u | K(x / y,z) = u. [para(6468(a,2),10953(a,1))]. 10968 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(7681(a,1),10953(a,1))]. 10970 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8270(a,2),10953(a,1))]. 10974 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(197(a,1),10959(a,1,1))]. 10975 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7761(a,1),10959(a,1))]. 10978 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(19(a,2),10962(a,1,2,1))]. 10982 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7695(a,1),10963(a,1))]. 10983 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9402(a,1),10963(a,1))]. 10988 K((L(x,y,z) * u) / w,T(x,u)) != v5 | K(w \ (L(x,y,z) * u),x) = v5. [para(9813(a,1),10964(a,1))]. 10989 K(x \ (y * (z * u)),z) != w | K(x \ (y * (u * z)),z) = w. [para(10590(a,1),10964(a,1))]. 10990 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(8067(a,1),10968(a,1))]. 10991 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8907(a,2),10975(a,1))]. 10994 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(5828(a,2),10990(a,1))]. 10996 K(x \ (x * y),z) != u | K(y,z) = u. [para(342(a,1),10961(a,1,1))]. 10997 K((x / y) \ x,z) != u | K(y,z) = u. [para(17(a,1),10996(a,1,1,2))]. 11000 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8013(a,1),10996(a,1))]. 11001 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(7994(a,1),10997(a,1))]. 11003 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5149(a,1),11000(a,1,1))]. 11008 K(x,T(y,z / x)) != u | K(x,T(y,z)) = u. [para(8017(a,1),11001(a,1))]. 11009 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(6516(a,2),11003(a,1))]. 11011 K((x \ y) * K(z,y / x),u) != w | K(x \ y,T(u,T(z,x))) = w. [para(8014(a,1),11003(a,1,1,2))]. 11018 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8413(a,1),11008(a,1))]. 11019 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(10074(a,1),11018(a,1))]. 11020 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8246(a,2),11019(a,1))]. 11021 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(10086(a,1),11019(a,1))]. 11024 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(10947(a,1),7413(a,1,2)),flip(a)]. 11025 K(((x / y) * x) \ (y * (x / y)),z) != u | K(y / x,z) = u. [para(7813(a,2),10967(a,1))]. 11026 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7409,a,10946,a)]. 11027 R(x,K(y,z),K(z,u)) = x. [hyper(475,a,10946,a)]. 11030 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2229(a,2),10946(a,2,2))]. 11031 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(285,a,7396,a(flip),b,11027,a),flip(a)]. 11033 R(x,T(K(y,z),u),K(z,w)) = x. [para(1403(a,1),11027(a,1,2))]. 11034 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(11027(a,1),2528(a,1,1,1))]. 11037 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5949(a,1),11027(a,1,3))]. 11038 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5981(a,1),11027(a,1,2))]. 11039 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6094(a,1),11027(a,1,3))]. 11040 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6010(a,1),11033(a,1,3))]. 11041 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(11037(a,1),54(a,2))]. 11042 R(x,K(y,z),L(R(K(z,u),w,v5),v6,v7)) = x. [para(6094(a,1),11037(a,1,3,1))]. 11043 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(11038(a,1),463(a,1,1))]. 11044 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(11038(a,1),498(a,1,1))]. 11045 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(11039(a,1),54(a,2))]. 11046 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(11040(a,1),847(a,1,1)),flip(a)]. 11047 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(11040(a,1),7373(a,1)),flip(a)]. 11049 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5697(a,1),11031(a,1,1))]. 11050 L(K(x,y),K(z,y),u) = K(x,y). [hyper(7562,a,11026,a)]. 11051 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2229(a,2),11026(a,1,1,2))]. 11052 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [hyper(124,a,11050,a(flip),b,23,a(flip))]. 11053 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(11050(a,1),7413(a,1,2)),flip(a)]. 11054 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(224,a,11030,a,b,582,a)]. 11055 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(66,a,10757,a(flip),b,11030,a)]. 11056 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(7392(a,1),11030(a,1,1)),flip(a)]. 11057 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7403(a,1),11030(a,1,1)),flip(a)]. 11058 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(38,a,11026,a,b,11051,a(flip))]. 11061 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(11051(a,1),7422(a,1,1))]. 11062 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7347(a,1),11053(a,1,2))]. 11063 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(128,a,11056,a)]. 11064 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(390,a,11058,a)]. 11066 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(11058(a,1),294(a,1,1)),flip(b)]. 11067 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(66,a,11052,a,b,11062,a)]. 11068 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7682(a,1),11063(a,1,1))]. 11069 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(7409,a,11067,a),flip(a)]. 11070 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(38,a,11051,a,b,11067,a),flip(a)]. 11071 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(11067(a,1),7417(a,1,1)),flip(a)]. 11072 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(123,a,11069,a(flip),b,7432,a)]. 11073 R(x,K(y,z),K(u,y)) = x. [hyper(475,a,11070,a)]. 11074 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3018(a,1),11070(a,1,1))]. 11080 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9017(a,2),10952(a,1))]. 11081 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(7014(a,1),11080(a,1))]. 11083 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8045(a,1),10983(a,1))]. 11084 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9724(a,1),10983(a,1))]. 11085 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7761(a,1),11068(a,2,2))]. 11086 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7380,a,11071,a)]. 11087 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(66,a,6348,a(flip),b,11072,a)]. 11088 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7682(a,1),11085(a,1,2))]. 11089 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(285,a,7385,a(flip),b,11086,a),flip(a)]. 11090 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(7408(a,1),11087(a,1,1)),flip(a)]. 11091 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(66,a,7809,a(flip),b,11090,a)]. 11092 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(285,a,11057,a,b,11091,a)]. 11093 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3193(a,2),11089(a,2,2))]. 11094 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5670(a,1),11092(a,2,2))]. 11095 K(x \ (L(y,z,u) * (u * z)),y) != w | K(x \ (u * (z * y)),y) = w. [para(10921(a,2),10989(a,1))]. 11096 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5149(a,2),11009(a,1,2,1))]. 11098 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(11069(a,2),11061(a,1))]. 11099 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2233(a,2),10948(a,2,2))]. 11100 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(7392(a,1),10948(a,1,1)),flip(a)]. 11101 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(123,a,7532,a(flip),b,11024,a)]. 11102 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(7557(a,1),11043(a,1,1))]. 11103 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(285,a,2238,a(flip),b,11102,a),flip(a)]. 11104 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(838(a,1),10994(a,1,1,2))]. 11105 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7416,a,11044,a)]. 11106 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(285,a,2238,a(flip),b,11105,a),flip(a)]. 11107 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7392(a,1),11106(a,1,2)),flip(a)]. 11108 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7587(a,1),11107(a,1,2))]. 11109 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5662,a,11108,a)]. 11110 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5452,a,11108,a)]. 11111 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2241,a,11108,a)]. 11112 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(653,a,11108,a)]. 11113 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [hyper(66,a,9753,a,b,11108,a)]. 11114 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(66,a,6128,a,b,11108,a)]. 11115 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(124,a,11108,a(flip),b,6128,a)]. 11116 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(124,a,11108,a(flip),b,5514,a),flip(a)]. 11117 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5946(a,1),11108(a,1,2))]. 11118 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6653(a,1),11108(a,1,2))]. 11119 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(11108(a,1),6949(a,1,1)),flip(a)]. 11121 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(11110(a,1),5453(a,1,2)),flip(b)]. 11123 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(11110(a,1),8300(a,1,2,2,2)),flip(a)]. 11124 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(66,a,11044,a,b,11111,a)]. 11126 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6648(a,1),11111(a,1,1))]. 11127 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6814(a,1),11115(a,1,1))]. 11128 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(66,a,6881,a,b,11116,a)]. 11129 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(11118(a,1),5098(a,2,2))]. 11130 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(8734(a,1),11126(a,1,1)),flip(a)]. 11131 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(11128(a,1),6311(a,2,2))]. 11133 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6653(a,1),11121(a,1,2))]. 11134 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(66,a,10768,a,b,11119,a)]. 11135 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6127(a,1),11119(a,1,2)),flip(a)]. 11136 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(122,a,5360,a(flip),b,11135,a),flip(a)]. 11137 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(66,a,11134,a(flip),b,11136,a),flip(a)]. 11138 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11137(a,1),138(a,1))]. 11139 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(11112(a,1),7590(a,1,1))]. 11140 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(285,a,5389,a,b,11124,a)]. 11141 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5981(a,1),11117(a,1,1))]. 11142 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(285,a,11111,a(flip),b,11130,a),flip(a)]. 11144 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(7432(a,1),11142(a,1,2))]. 11146 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(7392(a,1),11144(a,1,2)),flip(a)]. 11147 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(7888(a,1),11146(a,1,2))]. 11148 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(66,a,7946,a(flip),b,11147,a)]. 11150 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(11138,a,11139,a)]. 11151 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(285,a,8274,a(flip),b,11123,a),flip(a)]. 11153 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4072,a,11064,a),flip(a)]. 11154 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(9873(a,1),11046(a,1,2)),flip(a)]. 11156 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(9400(a,1),11113(a,1,2))]. 11157 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(66,a,7849,a(flip),b,11129,a)]. 11158 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(30(a,2),11157(a,1,2,2))]. 11159 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(115(a,1),11158(a,1,2,2,1))]. 11161 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(8180(a,1),11131(a,1,1,2))]. 11163 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7954(a,1),10918(a,1,1,2))]. 11164 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5785(a,1),11163(a,1,1,2,2))]. 11165 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7908(a,1),11164(a,1,1,2))]. 11166 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7879(a,1),11165(a,1,1,2)),flip(a)]. 11167 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4495(a,1),11166(a,1,1,2)),flip(a)]. 11168 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8239(a,1),11167(a,1,1)),flip(a)]. 11169 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(11104,a,11168,a),flip(a)]. 11170 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7761(a,1),10924(a,1,1))]. 11171 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5955(a,1),11141(a,1,2))]. 11172 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5981(a,1),11171(a,2,3))]. 11173 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(285,a,7396,a(flip),b,5356,a),flip(a)]. 11174 ((K(x,y) * R(K(y,z),u,w)) \ (v5 * (K(x,y) * R(K(y,z),u,w)))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)) = K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))). [para(10947(a,1),5916(a,1,1,1,2))]. 11175 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6353(a,1),6369(a,1,1,2,1,1)),flip(a)]. 11176 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(14(a,1),11175(a,2,1,2,1))]. 11177 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6353(a,1),11176(a,1,1)),flip(a)]. 11178 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(6756,a,11177,a),flip(a)]. 11179 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * (R(x,y,x) * K(x,u)). [hyper(66,a,9539,a(flip),b,11177,a)]. 11180 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * R(T(x,u),y,x). [para(9085(a,1),11179(a,2,2))]. 11181 T((x / y) * K((L(y,z,u) \ 1) \ (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(8200(a,1),6624(a,1,1,2))]. 11182 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5367(a,1),6771(a,1,1,1))]. 11183 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(32(a,2),11182(a,1,1))]. 11184 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4113(a,1),11183(a,1,2)),flip(a)]. 11185 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(308,a,11184,a),flip(a)]. 11186 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(285,a,7625,a(flip),b,11185,a),flip(a)]. 11187 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(66,a,9926,a,b,11186,a)]. 11188 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(11187(a,1),8589(a,1,1,1)),flip(a)]. 11189 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(285,a,8270,a(flip),b,11188,a),flip(a)]. 11190 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(285,a,8832,a(flip),b,11189,a),flip(a)]. 11191 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9461,a(flip),b,11190,a)]. 11193 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9427,a(flip),b,11191,a)]. 11194 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(10970,a,11193,a),flip(a)]. 11196 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(285,a,9603,a(flip),b,11194,a),flip(a)]. 11197 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(66,a,9666,a,b,11196,a)]. 11199 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(9140,a,7037,a),flip(a)]. 11201 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(285,a,9477,a(flip),b,11199,a),flip(a)]. 11202 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(14(a,1),11201(a,2,2,1,1))]. 11203 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,10619,a(flip),b,11202,a),flip(a)]. 11206 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(4664(a,2),7118(a,1,2,1,2,2))]. 11207 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6793(a,1),7315(a,1,2,2))]. 11208 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(9189(a,1),7536(a,2,2))]. 11209 K(T(x,y) \ 1,z) * K(x \ K(x,y),x * K(y,x)) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(5331(a,1),8282(a,1,2,2))]. 11210 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(5999(a,1),8468(a,1,2,1)),flip(a)]. 11211 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [hyper(285,a,8030,a(flip),b,11210,a)]. 11212 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6005,a(flip),b,11211,a),flip(a)]. 11213 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [hyper(285,a,5721,a,b,11212,a),flip(a)]. 11214 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(4129(a,1),8660(a,1,1))]. 11215 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(9885,a,11214,a)]. 11216 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(285,a,3341,a(flip),b,11215,a),flip(a)]. 11218 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(11216(a,2),9558(a,1))]. 11219 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4228(a,1),8760(a,1,1,1)),flip(a)]. 11220 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4182(a,1),11219(a,2,2,1,2))]. 11221 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(425(a,1),11220(a,2,2))]. 11222 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4228(a,1),11221(a,1,1)),flip(a)]. 11223 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [hyper(285,a,30,a,b,11222,a),flip(a)]. 11224 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(9095(a,1),11223(a,1,1)),flip(a)]. 11225 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [hyper(285,a,8509,a(flip),b,11224,a),flip(a)]. 11227 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(28(a,1),11225(a,1,1,2))]. 11228 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9374(a,1),11225(a,1,1))]. 11229 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [hyper(66,a,11227,a(flip),b,11228,a),flip(a)]. 11230 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [hyper(122,a,11229,a(flip),b,5130,a(flip)),flip(a)]. 11232 K(x,T(x * T(y,z),u * y)) != w | K(x,T(x * T(y,z),u)) = w. [para(11230(a,2),5208(a,1))]. 11233 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7008(a,2),8900(a,2,2,2))]. 11234 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9450(a,1),9449(a,1,2))]. 11235 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5152(a,1),9517(a,1,1))]. 11236 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(647,a,11235,a),flip(a)]. 11237 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11235(a,1),647(a,1))]. 11238 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5516(a,1),11236(a,1,2)),flip(a)]. 11239 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(7940(a,1),9969(a,1,2))]. 11240 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3584(a,1),10221(a,1,2,2))]. 11241 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(9102(a,1),10818(a,2,2))]. 11242 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1426(a,2),11049(a,2,1))]. 11243 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5334(a,1),11074(a,1,1,1))]. 11244 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(17(a,1),11140(a,2,1))]. 11245 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(285,a,7456,a,b,11244,a)]. 11246 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(7396(a,1),11173(a,1,1))]. 11247 T((x / y) * K(L(y,z,u) * (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(9572(a,1),11181(a,1,1,2))]. 11248 T(x / T(y,L(y,z,u) * (y \ x)),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7403(a,1),11247(a,1,1))]. 11249 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = L(x,z,u) \ (x \ (y * L(x,z,u))). [para(7647(a,1),11248(a,1,1))]. 11250 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ (L(x,z,u) \ (y * L(x,z,u))). [hyper(285,a,1255,a(flip),b,11249,a),flip(a)]. 11251 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(27(a,2),11250(a,2,2))]. 11252 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(66,a,10830,a(flip),b,11207,a)]. 11253 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8496(a,1),11252(a,1,2,2))]. 11254 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(66,a,8299,a(flip),b,11253,a),flip(a)]. 11256 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(66,a,7144,a(flip),b,11254,a)]. 11257 K(T(x,y) \ 1,z) * K(T(x \ K(x,y),y),x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8028(a,1),11209(a,1,2))]. 11258 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = K(T(x,y) \ 1,z) * K(x \ 1,x). [para(7763(a,1),11257(a,1,2)),flip(a)]. 11259 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = (x \ K(T(x,y) \ 1,z)) * x. [hyper(285,a,7059,a(flip),b,11258,a),flip(a)]. 11261 T(x \ K(x,y),z) * (x * K(y,x)) = (x \ K(T(x,y) \ 1,z)) * x. [para(5362(a,1),11259(a,1,2))]. 11262 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(285,a,8135,a(flip),b,11233,a),flip(a)]. 11264 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(4596(a,1),11262(a,1,2,2))]. 11265 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(4645(a,1),11264(a,1,2,2))]. 11267 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6585(a,1),11265(a,1,2)),flip(a)]. 11268 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(285,a,11256,a(flip),b,11267,a),flip(a)]. 11270 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(14(a,1),11234(a,1,2,2,2,1))]. 11271 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(11096,a,11270,a),flip(a)]. 11272 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(10955,a,11271,a)]. 11273 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6746,a,b,11272,a)]. 11274 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7940(a,1),11240(a,1,2))]. 11275 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2510(a,1),11243(a,1,1,2)),flip(a)]. 11276 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7401(a,1),11275(a,2,1))]. 11277 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(285,a,10751,a,b,11276,a),flip(a)]. 11278 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2515(a,1),11277(a,1,1,1))]. 11279 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5334(a,1),11278(a,1,1))]. 11280 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(285,a,7940,a,b,11279,a),flip(a)]. 11281 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2229(a,1),11280(a,1,2))]. 11282 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11280(a,2),7953(a,1))]. 11283 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(123,a,11281,a(flip),b,5191,a)]. 11284 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5320(a,1),11246(a,1,2,2,1)),flip(a)]. 11285 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(285,a,11100,a(flip),b,11284,a),flip(a)]. 11286 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(7409,a,11285,a)]. 11288 (1 / x) / (y \ T(1 / x,z)) = (x \ 1) / (y \ T(x \ 1,z)). [hyper(4796,a,6277,a),flip(a)]. 11290 (1 / x) / (((x \ 1) / (y * (x \ 1))) \ T(1 / x,y)) = (x \ 1) / ((x \ 1) * y). [para(7288(a,1),11288(a,2,2))]. 11291 (1 / x) / ((1 / x) * y) = (x \ 1) / ((x \ 1) * y). [para(7356(a,1),11290(a,1,2))]. 11292 (x \ 1) / ((x \ 1) * (x * y)) = (1 / x) / L(y,x,x \ 1). [para(2951(a,1),11291(a,1,2)),flip(a)]. 11293 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(66,a,2120,a(flip),b,7282,a),flip(a)]. 11295 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11293(a,1,1,2,1,2))]. 11296 K(x,y) * (K(y \ 1,y) * ((T(y,x) * (1 / y)) * z)) = L(z,((T(y,x) \ 1) * y) \ 1,(T(y,x) \ 1) * y). [hyper(285,a,5801,a,b,7555,a)]. 11297 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = L(z,T(x,y) * (1 / x),(T(x,y) \ 1) * x). [para(7554(a,1),7555(a,1,2)),flip(a)]. 11298 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6767(a,1),8517(a,1,2))]. 11299 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(66,a,8028,a(flip),b,11298,a)]. 11300 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(404(a,1),11299(a,2,1,1))]. 11301 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(66,a,8251,a(flip),b,11300,a)]. 11302 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(10942,a,11301,a),flip(a)]. 11303 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(285,a,8924,a(flip),b,11302,a),flip(a)]. 11305 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7487,a,9423,a),flip(a)]. 11306 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5381(a,1),11305(a,1,2)),flip(a)]. 11307 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8463(a,1),4962(a,1,2,1,2))]. 11308 K(x \ (1 / y),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(7688(a,1),5886(a,1,1))]. 11309 K(x \ (y \ 1),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(6697(a,1),11308(a,1,1))]. 11310 K(x \ (y \ 1),x) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4060(a,1),11309(a,1,1))]. 11311 K(x \ (y \ 1),x) / (x * (x \ (1 / y))) = 1 / (x * ((1 / y) / x)). [para(4855(a,1),11310(a,1,2))]. 11312 K(x \ (y \ 1),x) / (1 / y) = 1 / (x * ((1 / y) / x)). [para(15(a,1),11311(a,1,2))]. 11314 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),1 / (x * y)). [hyper(66,a,153,a(flip),b,6156,a),flip(a)]. 11316 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),(x * y) \ 1). [para(3645(a,1),11314(a,2,2))]. 11317 1 / L(x,y * K(x,y),(x * y) \ 1) = a((x * y) \ 1,y,x) / x. [para(10251(a,1),11316(a,1,1)),flip(a)]. 11318 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(15(a,1),6186(a,1,2,1,1,2)),flip(a)]. 11319 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6496(a,1),11318(a,2,2))]. 11320 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6482(a,1),11319(a,2,2))]. 11321 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5146(a,1),11320(a,1,1))]. 11323 (x * (T(y \ 1,z) * y)) \ ((T(y \ 1,z) * y) * x) = K(K(y \ 1,z),K(y \ 1,y) * x). [para(6229(a,1),6227(a,1,1))]. 11324 K(K(x \ 1,y),K(x \ 1,x) * z) = K(T(x \ 1,y) * x,z). [hyper(310,a,11323,a),flip(a)]. 11326 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(T(y \ 1,x) * y,z). [hyper(66,a,7883,a(flip),b,11324,a)]. 11327 K(T(x \ 1,y) * x,z) = K(y,K(x \ 1,z)). [para(3121(a,1),11326(a,1,2)),flip(a)]. 11328 K(T(x \ 1,y) * x,z) = K(y,K(z,x \ 1)). [hyper(285,a,7908,a,b,11327,a),flip(a)]. 11331 (T(x \ 1,y) * x) * K(y,K(z,x \ 1)) = T(T(x \ 1,y) * x,z). [hyper(124,a,11328,a(flip),b,5125,a(flip))]. 11332 ((T(x \ 1,y) * x) * z) \ (z * (T(x \ 1,y) * x)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(6229(a,1),6228(a,1,2))]. 11333 K(K(x \ 1,x) * y,K(x \ 1,z)) = K(y,T(x \ 1,z) * x). [hyper(310,a,11332,a),flip(a)]. 11335 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(z,T(y \ 1,x) * y). [hyper(66,a,7859,a,b,11333,a)]. 11336 K(x,T(y \ 1,z) * y) = K(z,K(y \ 1,x)). [para(3121(a,1),11335(a,1,2)),flip(a)]. 11337 K(x,T(y \ 1,z) * y) = K(z,K(x,y \ 1)). [hyper(285,a,7908,a,b,11336,a),flip(a)]. 11340 (T(x \ 1,y) * x) * K(z,T(x \ 1,y) * x) = T(T(x \ 1,y) * x,z). [para(11337(a,2),11331(a,1,2))]. 11341 (x * (T(y \ 1,z) * y)) / x = T(T(y \ 1,z) * y,x). [hyper(5409,a,11340,a)]. 11342 T(x \ K(x,y),z) * ((y * x) / y) = T(T(x \ 1,z) * x,y). [hyper(66,a,7063,a,b,11341,a)]. 11343 T(x \ K(x,y),z) * (x * K(y,x)) = T(T(x \ 1,z) * x,y). [hyper(66,a,5370,a(flip),b,11342,a)]. 11344 (x \ K(T(x,y) \ 1,z)) * x = T(T(x \ 1,z) * x,y). [hyper(66,a,11261,a(flip),b,11343,a)]. 11345 T(T(x \ 1,y),K(y,z)) * x = T(T(x \ 1,y) * x,z). [hyper(9809,a,11344,a)]. 11346 T(T(x \ 1,x) * x,y) = T(x \ 1,x) * x. [para(1385(a,1),11345(a,1,1)),flip(a)]. 11347 x / (T(y \ 1,y) * y) = (T(y \ 1,y) * y) \ x. [para(11346(a,1),249(a,1,2))]. 11348 K((T((x \ y) \ 1,x \ y) * (x \ y)) \ (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(11347(a,1),9904(a,1,1))]. 11349 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(14(a,1),6454(a,2,2,2,1))]. 11350 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(123,a,11161,a(flip),b,11349,a)]. 11352 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(7399(a,1),11350(a,2,2,1))]. 11353 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(285,a,11099,a(flip),b,11352,a),flip(a)]. 11355 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(11111(a,1),11353(a,2,2))]. 11356 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3747,a,11355,a)]. 11357 T(x,a(y,z,K(x,u))) = x. [hyper(250,a,11356,a)]. 11358 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11357(a,1),7682(a,1,2,2)),flip(a)]. 11359 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(285,a,11137,a,b,11358,a)]. 11360 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11359(a,2),46(a,1))]. 11361 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1080(a,1),7244(a,2,1))]. 11362 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(66,a,11361,a(flip),b,7245,a),flip(a)]. 11363 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1080(a,1),11362(a,1,1)),flip(a)]. 11364 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(7533(a,1),7543(a,1,1,1))]. 11365 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(285,a,8100,a(flip),b,9037,a),flip(a)]. 11366 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(285,a,6918,a(flip),b,11365,a),flip(a)]. 11367 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(90(a,1),11366(a,1,1,1)),flip(a)]. 11368 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11367,a),flip(a)]. 11369 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(9073(a,1),11368(a,1,2)),flip(a)]. 11370 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11369,a),flip(a)]. 11371 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(285,a,6404,a(flip),b,9146,a),flip(a)]. 11372 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(14(a,1),11371(a,2,2))]. 11373 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6548,a,11372,a)]. 11374 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(14(a,1),11373(a,1,2))]. 11375 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(66,a,9050,a(flip),b,11374,a)]. 11376 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(103(a,1),9698(a,1,2)),flip(a)]. 11377 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(285,a,442,a(flip),b,11376,a)]. 11378 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(11000,a,10814,a)]. 11379 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(66,a,10324,a(flip),b,11378,a)]. 11380 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [hyper(66,a,6632,a(flip),b,11379,a),flip(a)]. 11381 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K((x \ 1) \ 1,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(3341(a,2),11206(a,1,2,1,2,2))]. 11382 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,7147,a(flip),b,11273,a)]. 11383 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7940(a,1),11283(a,1,1))]. 11384 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5618(a,1),11307(a,1,2,1)),flip(a)]. 11385 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4566(a,1),11384(a,1,2))]. 11387 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(66,a,7065,a,b,11385,a)]. 11389 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(285,a,5615,a(flip),b,11387,a),flip(a)]. 11390 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(66,a,9777,a(flip),b,11389,a)]. 11391 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(124,a,11390,a(flip),b,5125,a(flip))]. 11392 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(6375,a,11391,a)]. 11393 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5452,a,11392,a)]. 11394 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10214(a,2),11393(a,1,2))]. 11395 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(7499,a,11394,a)]. 11396 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(7409,a,11395,a)]. 11397 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(66,a,6346,a(flip),b,11396,a)]. 11398 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(16(a,1),11397(a,1,2,1,2)),flip(a)]. 11399 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(16(a,1),11398(a,1,2)),flip(a)]. 11400 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(66,a,7291,a(flip),b,11399,a),flip(a)]. 11401 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(17(a,1),11400(a,2,2,1))]. 11402 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(11400(a,2),7941(a,1,2))]. 11403 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(118(a,1),11401(a,2,1))]. 11404 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6166(a,1),11403(a,1,1,2))]. 11405 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(9407(a,1),11404(a,1,1))]. 11406 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(630,a,11405,a),flip(a)]. 11407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(285,a,8540,a(flip),b,11402,a),flip(a)]. 11408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(285,a,8404,a(flip),b,11407,a),flip(a)]. 11409 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6695,a(flip),b,11382,a)]. 11410 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(8452,a,11409,a)]. 11411 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(242(a,1),11410(a,1,1))]. 11412 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(6657,a,11411,a)]. 11414 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(66,a,8162,a(flip),b,11412,a)]. 11415 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(14(a,1),11414(a,1,2,2))]. 11416 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(11000,a,11415,a)]. 11417 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(66,a,8752,a(flip),b,11416,a)]. 11418 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(285,a,10858,a(flip),b,11417,a),flip(a)]. 11419 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(14(a,1),11418(a,1,2,1,1)),flip(a)]. 11420 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4197(a,1),11419(a,1,2,1)),flip(a)]. 11421 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(66,a,10404,a(flip),b,11420,a),flip(a)]. 11422 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(66,a,10860,a(flip),b,11421,a),flip(a)]. 11423 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,11422,a),flip(a)]. 11424 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(66,a,8643,a(flip),b,11423,a)]. 11426 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11424(a,2),10956(a,1))]. 11428 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5219(a,1),6159(a,1,2))]. 11429 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11428(a,1),10519(a,1,2,2))]. 11430 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(6711(a,1),6830(a,1,1,2))]. 11431 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(285,a,7393,a(flip),b,6832,a),flip(a)]. 11432 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(285,a,11030,a(flip),b,11431,a),flip(a)]. 11433 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(7285(a,1),7295(a,2,2,1,1))]. 11434 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(285,a,2570,a(flip),b,11433,a),flip(a)]. 11435 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1635(a,1),11434(a,2,1))]. 11436 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4113(a,1),11435(a,1,1,2,1))]. 11437 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4128(a,1),11436(a,1,1))]. 11438 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9078(a,1),11437(a,1,1)),flip(a)]. 11439 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(5008(a,1),8808(a,2,1,1))]. 11440 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(216(a,1),9410(a,1,1)),flip(a)]. 11441 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7940(a,1),11440(a,2,1,1))]. 11442 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(285,a,30,a,b,11441,a),flip(a)]. 11443 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11073,a(flip),b,11442,a),flip(a)]. 11445 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10801(a,1),9459(a,1,1,2))]. 11446 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(10902(a,1),11445(a,1,1))]. 11447 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(32(a,2),11446(a,1,2))]. 11448 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(255(a,1),11447(a,1,2,1))]. 11449 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,10527,a(flip),b,11448,a)]. 11450 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = K(z,y) * (K(y,z) * x). [para(5417(a,1),11296(a,1,2)),flip(a)]. 11451 L(x,K(y,z),K(z,y)) = L(x,((T(u,w) \ 1) * u) \ 1,(T(u,w) \ 1) * u) # label(flip_matches_hint). [hyper(285,a,5461,a,b,11450,a)]. 11453 L(x,K(y,z),K(z,y)) = L(x,T(u,w) * (1 / u),(T(u,w) \ 1) * u) # label(flip_matches_hint). [para(7554(a,1),11451(a,2,2))]. 11454 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = x. [hyper(5366,a,11453,a),flip(a)]. 11455 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = z. [hyper(66,a,11297,a,b,11454,a)]. 11456 (T(x,y) * (1 / x)) \ z = ((T(x,y) \ 1) * x) * z. [hyper(303,a,11455,a),flip(a)]. 11458 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(14(a,1),11306(a,2,1,1))]. 11459 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(285,a,9836,a(flip),b,11458,a),flip(a)]. 11461 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(14(a,1),11459(a,1,1,1))]. 11462 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(14(a,1),11461(a,1,2,2))]. 11463 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5981(a,1),11462(a,1,2,1,3))]. 11464 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(90(a,1),11430(a,1,1,2,1,2,1))]. 11465 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(9933(a,1),11439(a,2,1,1))]. 11466 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5144(a,1),11465(a,2,1))]. 11468 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9781(a,1),11466(a,1,2,1))]. 11469 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9774(a,1),11468(a,1,2,1))]. 11470 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(86(a,1),11469(a,1,2,1,2,1))]. 11471 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4784(a,1),4882(a,1,1,2))]. 11472 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5334(a,1),6266(a,1,1,2))]. 11473 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = K((z * y) \ x,x \ (z * y)). [hyper(285,a,5964,a(flip),b,7054,a),flip(a)]. 11474 K((x / y) / z,z / (x / y)) = K((z * y) \ x,x \ (z * y)). [hyper(5778,a,11473,a)]. 11475 K((x * y) \ z,z \ (x * y)) = K(x \ (z / y),(z / y) \ x). [hyper(8069,a,11474,a),flip(a)]. 11476 K(x \ (1 / y),(1 / y) \ x) = K(y \ (x \ 1),x * y). [hyper(66,a,10784,a(flip),b,11475,a),flip(a)]. 11477 (1 / x) * (1 / (1 / ((1 / x) \ y))) = y * K(x \ (y \ 1),y * x). [para(11476(a,1),2627(a,1,2)),flip(a)]. 11478 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(x \ ((y / x) \ 1),y). [para(17(a,1),11477(a,2,2,2))]. 11479 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(y \ 1,y). [para(10783(a,1),11478(a,2,2))]. 11480 x \ (1 / (1 / (x * (y / x)))) = (y / x) * K(y \ 1,y). [hyper(66,a,7306,a(flip),b,11479,a)]. 11482 x * (K(y \ 1,y) * (y / x)) = 1 / (1 / (x * (y / x))). [hyper(2418,a,11480,a)]. 11483 1 / (1 / (x * (y / x))) = x * ((1 / (1 / y)) / x). [para(3719(a,1),11482(a,1,2)),flip(a)]. 11484 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [hyper(11232,a,8856,a)]. 11485 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6629,a(flip),b,11484,a),flip(a)]. 11486 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7643(a,1),11485(a,1,2,2,2))]. 11487 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7639(a,1),11486(a,1,2))]. 11489 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),9489(a,1,1,2))]. 11490 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(285,a,9086,a(flip),b,10525,a),flip(a)]. 11492 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(285,a,10524,a(flip),b,11490,a),flip(a)]. 11494 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5133(a,1),10795(a,2,2,1))]. 11497 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(11494(a,2),6558(a,1))]. 11498 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(285,a,3341,a(flip),b,11239,a),flip(a)]. 11499 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(285,a,7693,a(flip),b,11498,a),flip(a)]. 11500 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(285,a,7196,a(flip),b,11499,a),flip(a)]. 11501 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(7940(a,1),11500(a,1,2))]. 11502 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4885,a,11471,a)]. 11503 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(10900(a,1),11472(a,1,1))]. 11504 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),11489(a,1,1,2,1))]. 11505 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(5015,a,11502,a),flip(a)]. 11506 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3654,a,11505,a),flip(a)]. 11508 a(x,y,1 / z) = a(x,y,z \ 1). [para(1103(a,1),11506(a,1,3)),flip(a)]. 11510 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11504(a,1,1))]. 11511 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11510(a,1,1,2))]. 11512 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(9289(a,1),11511(a,1,1,2,2))]. 11513 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(7563,a,11512,a),flip(a)]. 11514 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(285,a,6897,a(flip),b,11513,a),flip(a)]. 11515 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(66,a,9656,a(flip),b,11514,a),flip(a)]. 11516 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),6869(a,1,1,2))]. 11517 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),11516(a,1,2,1))]. 11518 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(23(a,2),11517(a,2,1,2))]. 11519 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5785(a,2),9368(a,1,1,1,2))]. 11520 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(10335(a,1),10764(a,1,1,1,2)),flip(a)]. 11521 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(285,a,10761,a(flip),b,11520,a),flip(a)]. 11523 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(285,a,7968,a,b,11521,a),flip(a)]. 11524 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),11521(a,1,2,2)),flip(a)]. 11525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(112(a,1),11521(a,1,2,2))]. 11526 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(66,a,8449,a,b,11524,a)]. 11528 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(66,a,9520,a(flip),b,11526,a),flip(a)]. 11529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(66,a,10440,a,b,11525,a)]. 11530 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K((x \ y) \ 1,T(z,(y / x) * u)). [para(5745(a,1),11525(a,1,2))]. 11531 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(118(a,1),11529(a,1,2)),flip(a)]. 11532 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8234,a,11523,a)]. 11533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(15(a,1),11532(a,1,2,2)),flip(a)]. 11534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(112(a,1),11532(a,1,2,2))]. 11535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10120,a,b,11533,a)]. 11536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(90(a,1),11535(a,1,2,2)),flip(a)]. 11537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10118,a(flip),b,11536,a),flip(a)]. 11538 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(11537(a,1),10149(a,1,2))]. 11539 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(66,a,7881,a,b,11534,a)]. 11540 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(285,a,7881,a,b,11539,a),flip(a)]. 11541 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(285,a,7935,a(flip),b,11539,a),flip(a)]. 11542 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(11541(a,1),8478(a,1,1,1,1))]. 11543 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(8277(a,2),11540(a,1,2))]. 11545 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(118(a,1),11528(a,1,2)),flip(a)]. 11546 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(66,a,8224,a(flip),b,11545,a)]. 11547 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(66,a,9536,a(flip),b,11546,a)]. 11548 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(112(a,1),11547(a,1,2,2)),flip(a)]. 11549 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7884(a,1),11538(a,1,2))]. 11551 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(10078(a,1),11549(a,2,1))]. 11552 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K(y \ x,T(z,(y / x) * u)). [hyper(285,a,6468,a(flip),b,11530,a),flip(a)]. 11553 K(x \ y,T(z,(x / y) * u)) = K((y \ x) \ 1,T(z,u)). [hyper(66,a,10147,a(flip),b,11552,a),flip(a)]. 11555 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u)). [hyper(285,a,6468,a(flip),b,11553,a),flip(a)]. 11556 K(x \ y,T(z,u * (x / y))) = K(x \ y,T(z,u)). [hyper(66,a,9786,a(flip),b,11555,a)]. 11557 K(((x / y) * x) \ (y * (x / y)),T(z,u * (y \ x))) = K(((x / y) * x) \ (y * (x / y)),T(z,u)). [para(4287(a,1),11556(a,1,2,2,2))]. 11558 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(7875(a,1),11542(a,1,1)),flip(a)]. 11559 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(66,a,7101,a,b,11558,a),flip(a)]. 11560 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(285,a,6468,a(flip),b,11559,a),flip(a)]. 11561 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(285,a,9848,a(flip),b,11560,a),flip(a)]. 11562 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(66,a,11558,a,b,11561,a)]. 11563 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(285,a,7772,a(flip),b,11562,a),flip(a)]. 11564 K(((x / y) * x) \ (y * (x / y)),T(z,u)) = K(y / x,T(z,u * (y \ x))). [hyper(11025,a,11557,a),flip(a)]. 11565 K(x / y,T(z,u * (x \ y))) = K(x / y,T(z,u)). [hyper(11025,a,11564,a),flip(a)]. 11566 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10839(a,1,2,1))]. 11567 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(66,a,9200,a(flip),b,11429,a),flip(a)]. 11569 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(66,a,7881,a,b,11567,a)]. 11570 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10499(a,1),11569(a,1,2))]. 11571 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,10496,a(flip),b,11570,a)]. 11572 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(7940(a,1),11519(a,1,1,1))]. 11573 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(10838,a,11566,a),flip(a)]. 11575 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(66,a,9811,a(flip),b,11573,a),flip(a)]. 11576 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(66,a,5064,a,b,11575,a)]. 11577 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(8600(a,1),11576(a,1,1))]. 11578 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [hyper(124,a,11577,a(flip),b,650,a(flip))]. 11579 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(263,a,11578,a),flip(a)]. 11580 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(7952(a,1),11572(a,1,1,1)),flip(a)]. 11581 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(9263(a,1),11580(a,2,2,1))]. 11582 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5785(a,2),11581(a,2,2,1,2))]. 11583 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5785(a,2),11582(a,1,1,1))]. 11584 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7681(a,2),11583(a,1,1))]. 11585 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10145(a,1),11584(a,1,1))]. 11586 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8538(a,1),11585(a,1,2))]. 11587 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(165(a,1),11586(a,1,2,2)),flip(a)]. 11589 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(186(a,1),11587(a,2,2))]. 11590 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(66,a,10732,a,b,11589,a)]. 11591 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(5785(a,1),11590(a,1,1))]. 11592 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6335(a,1),6455(a,2,2,1,1))]. 11593 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5346(a,1),11592(a,2,2,1))]. 11596 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4069(a,1),6610(a,2,1))]. 11597 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(15(a,1),6811(a,2,2,1,2))]. 11598 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(285,a,222,a(flip),b,11597,a),flip(a)]. 11599 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(222(a,1),11598(a,1,2))]. 11600 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5334(a,1),11599(a,1,2,2))]. 11601 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(285,a,2586,a(flip),b,11600,a),flip(a)]. 11602 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4330(a,1),8766(a,2,2,1))]. 11603 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4182(a,1),11602(a,2,2,2,1))]. 11604 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(9095(a,1),11603(a,2,2))]. 11605 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(8150(a,1),11604(a,2,2))]. 11607 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(285,a,5435,a(flip),b,11605,a),flip(a)]. 11609 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4330(a,1),11607(a,1,1))]. 11610 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4330(a,1),11609(a,1,2,2))]. 11611 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4328(a,1),11610(a,1,1))]. 11612 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4328(a,1),11611(a,1,2,2))]. 11613 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(16(a,1),11612(a,2,2))]. 11614 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(7884(a,2),8965(a,1,2,2))]. 11615 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1905(a,1),9838(a,1,1))]. 11616 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(124,a,9541,a(flip),b,11615,a)]. 11617 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11616(a,1),11503(a,1,1))]. 11618 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6265(a,1),11617(a,1,2))]. 11619 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1109,a,11618,a)]. 11620 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(285,a,5334,a(flip),b,11619,a),flip(a)]. 11621 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(66,a,9522,a,b,11620,a)]. 11622 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3248,a,11621,a),flip(a)]. 11623 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(10952,a,11622,a),flip(a)]. 11625 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10942,a,11623,a),flip(a)]. 11628 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(285,a,7977,a(flip),b,11596,a),flip(a)]. 11629 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(285,a,6009,a(flip),b,11628,a),flip(a)]. 11632 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4658(a,1),11629(a,1,1))]. 11633 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(66,a,6009,a(flip),b,11632,a)]. 11636 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(11633(a,1),7113(a,1,2))]. 11637 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(66,a,3675,a(flip),b,11636,a)]. 11639 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(66,a,5989,a(flip),b,11637,a)]. 11640 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8311(a,1),11614(a,1,2,2)),flip(a)]. 11641 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(38,a,7394,a(flip),b,11640,a),flip(a)]. 11643 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8390,a,11641,a)]. 11644 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(7953,a,11643,a)]. 11645 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(11644(a,2),46(a,1))]. 11646 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((K(y \ 1,y) / (x * y)) * ((((x * y) / x) \ 1) \ 1)) \ 1. [para(2451(a,1),4989(a,2,1,2))]. 11647 (x * ((1 / y) * (y / x))) * K(((1 / y) * (y / x)) \ 1,a(1 / y,y / x,x)) = x / (1 / ((1 / y) * (y / x))). [para(2782(a,1),7208(a,1,1))]. 11648 x / (1 / ((1 / y) * (y / x))) = (x * ((1 / y) * (y / x))) * 1. [para(10557(a,1),11647(a,1,2)),flip(a)]. 11649 x / (1 / ((1 / y) * (y / x))) = x * ((1 / y) * (y / x)). [hyper(285,a,13,a(flip),b,11648,a),flip(a)]. 11651 (x * ((1 / y) * (y / x))) \ x = 1 / ((1 / y) * (y / x)). [hyper(180,a,11649,a)]. 11652 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = (((1 / x) * (x / y)) * y) \ y. [para(11651(a,1),4837(a,1,1))]. 11653 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = a(x \ 1,x / y,y) \ y. [para(3938(a,1),11652(a,2,1))]. 11654 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = L(y,x / y,x \ 1). [hyper(285,a,3940,a(flip),b,11653,a),flip(a)]. 11655 R(1 / (a((x * y) \ 1,y,x) / x),(1 / (x * y)) * ((x * y) / x),x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11654(a,1,1,2))]. 11656 R(1 / (a((x * y) \ 1,y,x) / x),a((x * y) \ 1,y,x) / x,x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11655(a,1,2))]. 11657 L(x,(x * y) / x,(x * y) \ 1) = x / a((x * y) \ 1,y,x). [hyper(66,a,369,a(flip),b,11656,a),flip(a)]. 11658 L(x,y * K(x,y),(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(5149(a,1),11657(a,1,2))]. 11659 1 / (x / a((x * y) \ 1,y,x)) = a((x * y) \ 1,y,x) / x. [para(11658(a,1),11317(a,1,2))]. 11660 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(285,a,473,a(flip),b,10329,a),flip(a)]. 11661 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(66,a,1532,a(flip),b,11660,a)]. 11662 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5447(a,1),11661(a,1,1,2,1))]. 11663 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5853(a,1),11662(a,1,1,2,1))]. 11664 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8004(a,1),11663(a,1,1,2,1)),flip(a)]. 11665 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(66,a,4458,a(flip),b,11664,a),flip(a)]. 11667 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11665(a,1),1167(a,2,1,2)),flip(a)]. 11668 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5334(a,1),11667(a,1,1))]. 11669 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9936(a,1),11668(a,1,1))]. 11670 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(297,a,11669,a)]. 11673 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(66,a,6100,a(flip),b,11670,a)]. 11674 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(285,a,7800,a(flip),b,11673,a),flip(a)]. 11676 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(66,a,9999,a(flip),b,11674,a),flip(a)]. 11678 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(285,a,9764,a(flip),b,11676,a),flip(a)]. 11679 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(10974,a,11678,a)]. 11681 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(66,a,9086,a(flip),b,10526,a),flip(a)]. 11683 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(10705(a,1),10709(a,1,2,1)),flip(a)]. 11684 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(10180(a,1),11683(a,2,2))]. 11685 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(9102(a,1),11684(a,2,2,2))]. 11686 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(285,a,6126,a(flip),b,11685,a),flip(a)]. 11688 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(7996(a,1),11686(a,1,1,1))]. 11689 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(10716(a,1),11688(a,1,1)),flip(a)]. 11690 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(285,a,6126,a(flip),b,11689,a),flip(a)]. 11691 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(7761(a,1),11690(a,2,1,1))]. 11692 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(285,a,13,a(flip),b,11691,a),flip(a)]. 11693 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(11692(a,1),9763(a,1,2))]. 11695 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(11693(a,2),6036(a,1))]. 11696 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5320(a,1),11601(a,2,1,2,1))]. 11697 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(11108(a,1),11696(a,2,1))]. 11698 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6032(a,1),11697(a,1,2,2,2,1))]. 11699 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(66,a,11600,a(flip),b,11698,a)]. 11700 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(66,a,11172,a(flip),b,11699,a)]. 11701 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6374(a,1),11700(a,1,3)),flip(a)]. 11702 a(x,y,a(z,u,K(y,w))) = 1. [hyper(56,a,11701,a)]. 11703 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((((x * y) / x) \ 1) \ K(y \ 1,y))) \ 1. [para(4990(a,1),11646(a,2,1))]. 11704 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) * (1 / y)) \ 1)) \ 1. [para(9805(a,1),11703(a,2,1,2))]. 11705 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) / y) \ 1)) \ 1. [para(6518(a,1),11704(a,2,1,2,1))]. 11706 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(6512(a,1),11705(a,2,1,2))]. 11707 L(x,(((x * y) / x) \ 1) \ 1,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(2451(a,1),11706(a,1,2))]. 11708 L(x,(((x * y) / x) \ 1) \ 1,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,5003,a(flip),b,11707,a)]. 11710 L(x,(x * y) / x,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,7072,a(flip),b,11708,a)]. 11711 ((1 / (x * y)) * (y * K(x,y))) \ 1 = x / a((x * y) \ 1,y,x). [hyper(66,a,11657,a(flip),b,11710,a),flip(a)]. 11712 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = x / a((x * y) \ 1,y,x). [para(10259(a,1),11711(a,1,1))]. 11713 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5320(a,1),7542(a,1,1,1,2,1))]. 11714 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(7557(a,1),11713(a,1,1,1))]. 11715 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11286(a,1),11714(a,1,1))]. 11716 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(11108(a,1),11715(a,1,1,2))]. 11717 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5320(a,1),11716(a,1,3,1))]. 11718 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(11041,a,11717,a),flip(a)]. 11720 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11718(a,1,2,1))]. 11721 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11720(a,1,2,2,1))]. 11722 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(11109(a,1),11721(a,1,2))]. 11723 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(180,a,11722,a)]. 11724 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(66,a,5202,a(flip),b,11722,a),flip(a)]. 11725 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(11722(a,1),307(a,1,1)),flip(b)]. 11727 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(278(a,1),11725(a,1))]. 11728 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3064(a,1),8865(a,2,1,2))]. 11729 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(616(a,1),11728(a,1,1,2,2))]. 11730 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3104(a,1),11729(a,1,1,2))]. 11731 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,6710,a(flip),b,11730,a),flip(a)]. 11732 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(112(a,1),9616(a,2,1))]. 11733 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [hyper(285,a,23,a,b,11732,a),flip(a)]. 11734 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [hyper(66,a,9276,a(flip),b,11733,a),flip(a)]. 11736 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(5101(a,1),11734(a,1,3))]. 11737 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9202(a,1),9993(a,1,1,2))]. 11738 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(11027(a,1),10254(a,1,1))]. 11739 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(6322(a,1),11738(a,1,2))]. 11741 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1633(a,1),11739(a,1,2))]. 11742 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(648,a,11741,a)]. 11743 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(647,a,11741,a),flip(a)]. 11744 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11741(a,1),647(a,1))]. 11745 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(122,a,9826,a,b,11742,a)]. 11746 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(66,a,10185,a,b,11743,a)]. 11747 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(11743(a,1),7030(a,1,1)),flip(a)]. 11748 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(11743(a,1),9578(a,1,2)),flip(a)]. 11749 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4529(a,1),11747(a,2,1))]. 11751 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(11746(a,1),7406(a,1,1))]. 11752 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(11746(a,1),8477(a,1,1)),flip(a)]. 11753 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(17(a,1),11751(a,1,2,2))]. 11754 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5635,a,11748,a)]. 11755 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,989,a(flip),b,11754,a)]. 11756 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(66,a,9920,a(flip),b,11755,a),flip(a)]. 11757 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(66,a,11551,a(flip),b,11752,a),flip(a)]. 11758 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(11047,a,11757,a)]. 11759 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(11744,a,11745,a)]. 11760 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4632,a(flip),b,11759,a),flip(a)]. 11761 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4530,a,11760,a)]. 11762 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9826(a,1),11749(a,1,1))]. 11763 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(11761(a,1),11762(a,2,1))]. 11764 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(66,a,11747,a(flip),b,11763,a)]. 11765 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11237,a,11756,a)]. 11768 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9986(a,1),11765(a,2,2,2))]. 11769 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(15(a,1),11768(a,2,2,2,1))]. 11770 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(14(a,1),11769(a,2,2))]. 11772 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(285,a,11743,a(flip),b,11770,a),flip(a)]. 11773 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4530,a,11772,a),flip(a)]. 11774 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(66,a,11238,a(flip),b,11772,a),flip(a)]. 11777 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(11027(a,1),11034(a,1,1,2,1,1)),flip(a)]. 11778 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(14(a,1),11777(a,2,1,2,1))]. 11780 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(11027(a,1),11778(a,1,1)),flip(a)]. 11781 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2239(a,1),11780(a,2,2))]. 11782 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(66,a,11101,a,b,11781,a)]. 11783 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(11781(a,1),11364(a,1,1))]. 11784 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11782,a),flip(a)]. 11785 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5446(a,1),11783(a,1,1,2))]. 11786 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(11045,a,11785,a),flip(a)]. 11787 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4701,a,11786,a)]. 11789 K(x,a(K(y,z),u,u \ 1)) = 1. [para(11787(a,1),10350(a,1,2))]. 11790 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(59,a,11789,a)]. 11791 T(x,a(K(y,z),u \ 1,u)) = x. [para(3671(a,1),11790(a,1,2))]. 11792 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(57,a,11791,a)]. 11793 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(285,a,3652,a,b,11792,a),flip(a)]. 11794 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5450(a,2),11793(a,1,1))]. 11795 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(66,a,9751,a,b,11794,a)]. 11796 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(66,a,7711,a,b,11795,a)]. 11797 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4864(a,1),11295(a,1,1))]. 11799 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11797(a,1,2,1,2))]. 11800 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2987,a,11799,a)]. 11801 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(285,a,6294,a,b,11800,a)]. 11802 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2193,a,11801,a)]. 11803 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(285,a,8847,a(flip),b,11802,a),flip(a)]. 11805 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11802(a,1),240(a,1,2)),flip(b)]. 11806 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11803(a,1),8854(a,1,1,2))]. 11807 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),11806(a,1,2,1))]. 11808 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(14(a,1),11737(a,1,1)),flip(a)]. 11809 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(285,a,7428,a(flip),b,11808,a),flip(a)]. 11811 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(7428(a,1),11809(a,1,1,2))]. 11812 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(9571(a,1),11811(a,1,1))]. 11814 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(11812(a,1),10911(a,1,1))]. 11815 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(16(a,1),11814(a,1,1,1)),flip(a)]. 11816 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(285,a,7392,a(flip),b,11815,a),flip(a)]. 11818 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(11816(a,1),476(a,1,1)),flip(a)]. 11819 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [hyper(122,a,11818,a(flip),b,646,a)]. 11820 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(306,a,11819,a),flip(a)]. 11822 a(x,L(y,z,u),K(w,y)) = 1. [hyper(66,a,11148,a(flip),b,11820,a)]. 11823 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(55,a,11822,a)]. 11825 K(L(x \ L(y,z,u),x,w),y) = K(x \ L(y,z,u),y). [hyper(66,a,6654,a(flip),b,11823,a)]. 11826 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11823(a,1),7559(a,1,1,2)),flip(a)]. 11827 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(T(z,x * y),u,w),T(z,x * y)). [hyper(66,a,10670,a,b,11825,a)]. 11828 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,7400,a(flip),b,11826,a),flip(a)]. 11829 K(x,((L(x,y,z) \ 1) * u) \ 1) = K(x,u \ L(x,y,z)). [hyper(66,a,7203,a(flip),b,11828,a)]. 11830 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(66,a,6636,a(flip),b,11828,a),flip(a)]. 11831 (1 / L(x,y,z)) \ K(x,u) = L(x,y,z) * K(x,u). [hyper(122,a,11828,a(flip),b,2951,a)]. 11833 L(x \ y,x,1 / y) * K(x \ y,z) = ((1 / y) * x) \ K(x \ y,z). [para(561(a,1),11831(a,1,1)),flip(a)]. 11834 K(x,y \ L(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10627,a(flip),b,11829,a),flip(a)]. 11835 K(x,y \ L(x,z \ 1,z)) = K(x,y \ x). [para(2969(a,1),11834(a,1,2,2))]. 11836 K(x,y \ ((1 / (z / x)) * z)) = K(x,y \ x). [para(2962(a,1),11834(a,1,2,2))]. 11837 K(x,y \ (((z / x) \ 1) * z)) = K(x,y \ x). [hyper(66,a,7198,a(flip),b,11836,a)]. 11838 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ x). [hyper(66,a,9748,a,b,11837,a)]. 11840 (((1 / x) * y) \ 1) * K(y \ x,z) = ((1 / x) * y) \ K(y \ x,z). [para(455(a,1),11833(a,1,1))]. 11841 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(10360(a,1),8899(a,1,1))]. 11843 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(11370(a,1),11841(a,1,1))]. 11844 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1782(a,2),11843(a,1,2))]. 11845 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(5315(a,1),11844(a,1,2,1))]. 11846 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(6279(a,1),11845(a,1,2,1,2))]. 11847 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(6142(a,2),11846(a,2,1))]. 11849 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(11073(a,1),9243(a,1,1))]. 11850 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(9235(a,1),11849(a,1,2,2)),flip(a)]. 11852 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(6311(a,1),11850(a,2,2))]. 11853 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(9235(a,1),11852(a,1,2,2)),flip(a)]. 11854 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8173(a,1),11853(a,2,2))]. 11855 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(285,a,10188,a(flip),b,11854,a),flip(a)]. 11856 K(x,x \ y) * K(y,x) = a(x,y / x,x). [hyper(66,a,4268,a(flip),b,11854,a),flip(a)]. 11857 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(66,a,2364,a(flip),b,11854,a),flip(a)]. 11859 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(2236,a,11856,a)]. 11860 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(66,a,9378,a,b,11859,a)]. 11861 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(16(a,1),11860(a,1,2,1,2)),flip(a)]. 11862 (x * y) \ T(y * x,y) = a(y,x,y). [para(16(a,1),11861(a,1,2)),flip(a)]. 11863 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5316(a,1),11857(a,1,1))]. 11864 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(9816(a,1),11863(a,1,2)),flip(a)]. 11865 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(285,a,9821,a(flip),b,11864,a),flip(a)]. 11866 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1571(a,1),11855(a,1,2))]. 11867 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(647,a,11866,a),flip(a)]. 11869 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(10256,a,11867,a)]. 11870 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [hyper(124,a,11867,a(flip),b,5526,a),flip(a)]. 11871 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10600(a,1),11867(a,1,2))]. 11872 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5452,a,11869,a)]. 11873 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(11869(a,1),11153(a,1,1)),flip(a)]. 11874 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(11869(a,1),11432(a,2,2))]. 11875 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(122,a,10569,a(flip),b,11870,a(flip))]. 11876 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(66,a,11875,a(flip),b,11871,a),flip(a)]. 11878 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(66,a,11865,a(flip),b,11876,a)]. 11880 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11878(a,1),10544(a,1,1))]. 11881 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6457(a,1),11874(a,1,1))]. 11882 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6826(a,1),11881(a,1,2))]. 11883 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(66,a,11093,a(flip),b,11882,a)]. 11884 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10150(a,1),11883(a,1,2))]. 11885 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),5227(a,2,2,1,1,1))]. 11886 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),11885(a,1,1))]. 11887 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5853(a,1),11886(a,1,2,1))]. 11888 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5334(a,1),11887(a,1,2,2))]. 11889 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5334(a,1),11888(a,2,2,1,2))]. 11890 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(8851(a,2),11889(a,2,1))]. 11891 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9099(a,1),11890(a,1,2,2))]. 11892 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6337(a,1),11891(a,1,2))]. 11893 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9137(a,1),11892(a,1,2,2)),flip(a)]. 11894 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(285,a,14,a(flip),b,11893,a),flip(a)]. 11896 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(8851(a,1),11894(a,1,1))]. 11897 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9099(a,1),11896(a,1,2,1,2))]. 11898 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9219(a,1),11897(a,1,2,1))]. 11899 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(38,a,5045,a,b,11898,a)]. 11901 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(665(a,1),11899(a,1,2))]. 11902 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(66,a,6223,a(flip),b,11901,a)]. 11903 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7761(a,1),11902(a,1,2))]. 11904 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(11902(a,1),11058(a,1,2))]. 11905 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(11903(a,1),6311(a,1,1)),flip(a)]. 11906 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(285,a,5045,a(flip),b,11905,a),flip(a)]. 11907 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8749(a,1),11906(a,1,2))]. 11908 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7803(a,2),11907(a,1,1))]. 11909 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6051,a(flip),b,5735,a),flip(a)]. 11911 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,6224,a(flip),b,11909,a)]. 11912 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6970,a(flip),b,11911,a)]. 11913 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(16(a,1),11912(a,1,2,1))]. 11914 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,9284,a(flip),b,11913,a)]. 11915 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(285,a,8265,a(flip),b,11914,a),flip(a)]. 11916 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(8878(a,1),9265(a,2,2))]. 11917 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(78(a,1),11916(a,2,2,2,1))]. 11918 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4220(a,1),11917(a,2,2))]. 11919 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4084(a,1),11918(a,1,2,1))]. 11920 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(11918(a,1),7561(a,1,1,2)),flip(a)]. 11921 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(9772(a,1),11919(a,1,2)),flip(a)]. 11922 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(78(a,1),11921(a,2,2,2,1))]. 11923 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(7994(a,1),11922(a,2,2))]. 11924 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(5852(a,1),11923(a,2,2))]. 11925 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(285,a,9234,a(flip),b,11924,a),flip(a)]. 11926 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),9549(a,1,2,1))]. 11927 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),11926(a,1,2,2,1,1))]. 11928 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(830(a,1),11927(a,1,2))]. 11929 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9635(a,1),11928(a,1,2))]. 11930 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(6179,a,11929,a),flip(a)]. 11932 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3341(a,1),11930(a,2,1))]. 11933 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6238(a,1),11932(a,1,1))]. 11934 R(K(x,y),K(y,z),u) = K(x,y). [hyper(869,a,11933,a)]. 11935 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(14(a,1),11933(a,1,2))]. 11937 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(11934(a,1),2570(a,1,1)),flip(a)]. 11939 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(224,a,11935,a,b,15,a),flip(a)]. 11940 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(123,a,10740,a(flip),b,11935,a)]. 11941 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(123,a,11935,a(flip),b,5191,a)]. 11942 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2229(a,2),11935(a,1,1))]. 11943 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(8549(a,1),11935(a,1,1)),flip(a)]. 11944 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5106(a,1),11940(a,1,1))]. 11945 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(285,a,10745,a,b,11942,a),flip(a)]. 11946 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5360(a,1),11942(a,2,2))]. 11947 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,11945,a)]. 11948 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(224,a,11945,a,b,15,a),flip(a)]. 11952 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(285,a,4200,a(flip),b,11947,a),flip(a)]. 11953 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11443,a(flip),b,11947,a),flip(a)]. 11958 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7687(a,1),11947(a,1,2))]. 11960 L(x,K(y,z),K(u,K(z,w))) = x. [para(7881(a,1),11947(a,1,3))]. 11961 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(11947(a,1),11054(a,1,1,1)),flip(a)]. 11962 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1176,a,11958,a),flip(a)]. 11963 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1176,a,11960,a),flip(a)]. 11964 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(11952(a,1),10568(a,1,2,3))]. 11965 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,11449,a(flip),b,11964,a),flip(a)]. 11966 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(122,a,5360,a(flip),b,11946,a)]. 11967 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5726,a,11953,a)]. 11969 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7940(a,1),11953(a,1,1))]. 11970 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(2229(a,1),11966(a,1,1))]. 11971 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(285,a,5130,a(flip),b,11967,a)]. 11972 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11953,a(flip),b,11967,a)]. 11973 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10571(a,1),11969(a,1,1,2)),flip(a)]. 11974 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(285,a,11942,a,b,11970,a),flip(a)]. 11975 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(285,a,5150,a(flip),b,11972,a),flip(a)]. 11976 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11972(a,1),4577(a,1,2))]. 11977 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(11972(a,1),5207(a,1))]. 11978 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(66,a,11154,a(flip),b,11948,a)]. 11979 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5360(a,1),11948(a,1,2,2)),flip(a)]. 11980 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5190(a,1),11971(a,2,1)),flip(a)]. 11981 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(66,a,11758,a(flip),b,11978,a),flip(a)]. 11982 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2229(a,1),11961(a,1,2,2))]. 11983 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11963(a,2),847(a,1,2))]. 11984 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(66,a,10765,a(flip),b,11980,a)]. 11985 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(11982(a,1),7436(a,1,1))]. 11986 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5900,a,11984,a)]. 11987 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(66,a,10767,a,b,11986,a)]. 11988 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(11986(a,2),5303(a,2,2)),flip(a)]. 11989 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8307(a,1),11986(a,1,1))]. 11990 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(200(a,2),11944(a,1,2,2,2))]. 11991 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(10228(a,1),11973(a,2,1))]. 11992 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11953,a(flip),b,11991,a),flip(a)]. 11993 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10571(a,1),11992(a,1,2,2))]. 11994 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(285,a,11972,a,b,11993,a)]. 11995 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(11066,a,11941,a)]. 11996 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7500(a,1),11985(a,1,1,1)),flip(a)]. 11997 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11969(a,1),11996(a,2,1))]. 11998 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(285,a,5119,a,b,11997,a),flip(a)]. 11999 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5334(a,1),11998(a,1,2))]. 12000 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7881(a,1),11987(a,1,2,2,2))]. 12001 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8307(a,1),11989(a,1,2)),flip(a)]. 12002 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(285,a,11986,a(flip),b,12001,a),flip(a)]. 12005 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7702(a,1),12002(a,1,1)),flip(a)]. 12006 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11282,a,11995,a)]. 12007 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7942(a,1),12006(a,1,1)),flip(a)]. 12008 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(285,a,11967,a(flip),b,12007,a),flip(a)]. 12009 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(11977,a,12008,a(flip)),flip(a)]. 12010 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2229(a,2),12008(a,1,2,1))]. 12011 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(37,a,5130,a(flip),b,12010,a),flip(a)]. 12012 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12010(a,1),11975(a,1,1))]. 12013 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(66,a,11999,a,b,12011,a)]. 12014 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(124,a,12011,a(flip),b,5125,a(flip))]. 12015 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2229(a,1),12011(a,2,2))]. 12016 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2229(a,1),12015(a,1,1))]. 12017 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(66,a,12009,a(flip),b,12016,a)]. 12018 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(66,a,12005,a(flip),b,12017,a),flip(a)]. 12020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12018(a,1),11383(a,2,2))]. 12022 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5409,a,12014,a)]. 12023 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11279(a,1),12022(a,1,1))]. 12024 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4463,a,12000,a)]. 12025 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7881(a,1),12024(a,1,1))]. 12027 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(66,a,9701,a(flip),b,11965,a),flip(a)]. 12028 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9729(a,1),12027(a,2,2))]. 12029 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(285,a,4292,a(flip),b,12028,a),flip(a)]. 12030 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9393(a,1),12029(a,1,1,1))]. 12031 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10801(a,1),12030(a,1,1)),flip(a)]. 12033 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12031(a,1),5576(a,1))]. 12034 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(285,a,11935,a(flip),b,12020,a),flip(a)]. 12036 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(11934(a,1),11937(a,2,2,1,1))]. 12037 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12036(a,2,2,1))]. 12039 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12037(a,1,1,2,1))]. 12040 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12039(a,1),466(a,1,1,1)),flip(a)]. 12041 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12039(a,2),6951(a,1,1))]. 12042 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7860(a,1),12041(a,1,1,1,2,1))]. 12043 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(10155(a,1),12042(a,1,1,1,2))]. 12044 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12025(a,1),12043(a,1,1,1))]. 12045 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5334(a,1),6060(a,1,2,1))]. 12046 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5493(a,1),7505(a,1,1))]. 12047 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5493(a,1),12046(a,1,2,1,1)),flip(a)]. 12048 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5320(a,1),12047(a,2,2,1))]. 12049 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6090(a,1),12048(a,2,2))]. 12050 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5126(a,1),12049(a,1,1,1)),flip(a)]. 12051 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6090(a,1),12050(a,2,1,2))]. 12052 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6065(a,1),8985(a,1,1,2))]. 12053 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * L(x,y,(x * y) \ 1)) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),12045(a,1,2,2))]. 12054 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * (((1 / (x * y)) * y) * L(x,y,(x * y) \ 1))) = K(y,x) \ ((1 / (x * y)) * y). [para(9172(a,1),12053(a,1,2))]. 12055 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * ((1 / (x * y)) * (y * x))) = K(y,x) \ ((1 / (x * y)) * y). [para(3667(a,1),12054(a,1,2,2))]. 12056 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * K(y,x)) = K(y,x) \ ((1 / (x * y)) * y). [para(5874(a,2),12055(a,1,2,2))]. 12057 K(x,y) \ ((1 / (y * x)) * x) = 1 / L(y,x,(y * x) \ 1). [hyper(5365,a,12056,a),flip(a)]. 12058 K(x,y) * ((1 / (x * y)) * y) = 1 / L(x,y,(x * y) \ 1). [hyper(5464,a,12057,a)]. 12060 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = L(x,y,(x * y) \ 1). [hyper(180,a,12058,a(flip))]. 12062 x / a((x * y) \ 1,y,x) = L(x,y,(x * y) \ 1). [hyper(66,a,11712,a(flip),b,12060,a)]. 12063 a((x * y) \ 1,y,x) / x = 1 / L(x,y,(x * y) \ 1). [para(12062(a,1),11659(a,1,2)),flip(a)]. 12064 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(10931(a,1),12052(a,1,1))]. 12065 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(8984(a,1),12064(a,1,2)),flip(a)]. 12066 (((x * y) \ 1) \ 1) * ((y * x) \ 1) = (x * y) * (1 / (y * x)). [hyper(124,a,7576,a(flip),b,12065,a(flip))]. 12067 (((((1 / (1 / x)) / y) * y) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(11483(a,2),12066(a,1,2,1))]. 12068 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4228(a,1),6023(a,1,1)),flip(a)]. 12069 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4191(a,1),12068(a,2,2,1))]. 12070 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6042(a,1),12069(a,1,2,1))]. 12071 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4181(a,1),12070(a,1,1)),flip(a)]. 12072 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(118(a,1),12071(a,2,2,1))]. 12073 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4331(a,1),12072(a,1,1))]. 12074 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5800(a,1),6621(a,1,1)),flip(a)]. 12075 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5143(a,1),12074(a,2,1))]. 12076 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(285,a,6253,a(flip),b,12075,a),flip(a)]. 12077 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(9548(a,1),12076(a,1,2,1))]. 12078 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3036(a,1),12077(a,1,2))]. 12079 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(8885(a,1),12078(a,1,2)),flip(a)]. 12080 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(12079(a,1),8464(a,1,1,1)),flip(a)]. 12082 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3742(a,1),12080(a,1,1)),flip(a)]. 12083 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(285,a,9473,a(flip),b,12082,a),flip(a)]. 12084 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(285,a,9761,a(flip),b,12083,a),flip(a)]. 12085 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(66,a,6748,a(flip),b,12084,a)]. 12086 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(66,a,10298,a(flip),b,12085,a)]. 12087 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(282(a,1),12086(a,1,1,1))]. 12088 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4271(a,1),12086(a,1,1,1))]. 12089 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(12086(a,1),5805(a,1,2,1,2))]. 12090 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(12086(a,1),11213(a,2,1,1,2))]. 12091 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [hyper(66,a,12086,a(flip),b,12087,a),flip(a)]. 12092 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [hyper(285,a,11487,a(flip),b,12088,a),flip(a)]. 12093 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,12086,a(flip),b,12092,a)]. 12094 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(15(a,1),12093(a,1,2,2)),flip(a)]. 12095 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [hyper(285,a,8464,a(flip),b,12091,a),flip(a)]. 12096 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [hyper(66,a,12094,a(flip),b,12095,a),flip(a)]. 12097 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(66,a,9012,a(flip),b,12089,a),flip(a)]. 12098 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [hyper(285,a,8836,a(flip),b,12090,a),flip(a)]. 12099 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(66,a,11212,a(flip),b,12098,a)]. 12100 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [hyper(66,a,12096,a,b,12099,a)]. 12101 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(90(a,1),12100(a,1,1,2,1)),flip(a)]. 12102 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [hyper(66,a,11380,a,b,12101,a)]. 12103 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(10960,a,12102,a),flip(a)]. 12104 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(66,a,9425,a(flip),b,12103,a)]. 12105 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(66,a,8466,a(flip),b,12103,a),flip(a)]. 12106 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(10983,a,12104,a)]. 12107 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(10982,a,12104,a)]. 12108 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(66,a,8172,a,b,12106,a)]. 12109 K(((x * y) / z) \ y,y) = K(z / x,y). [para(16(a,1),12108(a,1,1,2)),flip(a)]. 12110 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(66,a,6716,a(flip),b,12105,a)]. 12111 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),10552(a,1,1))]. 12112 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12111(a,1,2,1,1,1))]. 12113 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9225(a,1),12112(a,1,2,1,1))]. 12114 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(5320(a,1),12113(a,1,2,1))]. 12115 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12114(a,1,2,2))]. 12116 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7681(a,2),10763(a,2,2))]. 12117 (((1 / (1 / x)) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(17(a,1),12067(a,1,1,1,1))]. 12119 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * ((1 / (1 / (y * (x / y)))) \ 1). [para(184(a,1),12117(a,1,1)),flip(a)]. 12120 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(90(a,1),12119(a,2,2))]. 12121 (1 / (1 / x)) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [hyper(293,a,12120,a)]. 12124 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(10415(a,1),12116(a,2,2))]. 12125 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). [hyper(285,a,7396,a(flip),b,12124,a),flip(a)]. 12127 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [para(7761(a,1),12125(a,2,2))]. 12128 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(285,a,9707,a(flip),b,12127,a),flip(a)]. 12129 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7682(a,1),12128(a,2,2))]. 12130 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7980(a,1),12129(a,1,2))]. 12131 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(7410,a,12130,a)]. 12134 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(12131(a,1),11098(a,1))]. 12135 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10174(a,1),9605(a,1,1))]. 12136 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(11925(a,1),11920(a,2,1,2))]. 12137 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),11983(a,1,1,3,1))]. 12138 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6534(a,1),11990(a,1,2,1))]. 12139 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3858(a,1),12138(a,1,2,2)),flip(a)]. 12140 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9879(a,1),12139(a,2,2))]. 12141 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(14(a,1),12140(a,2,2,1))]. 12142 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12141(a,1,1,2))]. 12143 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8628(a,1),12142(a,1,1))]. 12144 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12143(a,1,2,1))]. 12146 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7148(a,1),12144(a,1,2))]. 12147 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8331(a,1),12146(a,1,2))]. 12148 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7248(a,1),12147(a,1,2)),flip(a)]. 12149 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(285,a,9312,a,b,12148,a),flip(a)]. 12151 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8738(a,1),12135(a,1,1,2))]. 12152 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7881(a,1),12151(a,1,1))]. 12154 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8266(a,1),12152(a,1,1,2))]. 12155 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(14(a,1),12154(a,1,1,2,1,2))]. 12156 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7884(a,1),12155(a,1,1))]. 12157 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7960(a,1),12156(a,1,1))]. 12158 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7929(a,1),12157(a,1,1))]. 12159 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7881(a,1),12158(a,1,1))]. 12160 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10481(a,1),12159(a,1,2))]. 12161 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(7560,a,12160,a)]. 12162 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7761(a,1),12161(a,1,2,1))]. 12163 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(12162(a,1),46(a,1))]. 12164 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9873(a,1),12137(a,1,1,3))]. 12165 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7715(a,2),12164(a,1,1,3))]. 12167 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),12165(a,1,2,1,1))]. 12168 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11942(a,1),12167(a,1,2))]. 12169 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7881(a,1),12168(a,2,2,1))]. 12170 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(9873(a,1),12169(a,2,2))]. 12171 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7715(a,2),12170(a,2,2))]. 12173 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(11033(a,1),12171(a,1,1))]. 12174 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(66,a,11939,a(flip),b,12173,a),flip(a)]. 12175 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(66,a,2237,a(flip),b,12174,a)]. 12176 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7681(a,2),12175(a,1,2))]. 12177 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9741(a,1),6242(a,1,1)),flip(a)]. 12178 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(285,a,9286,a,b,12177,a),flip(a)]. 12180 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5219(a,1),12178(a,2,1))]. 12181 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9741(a,1),6243(a,1,1)),flip(a)]. 12182 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(285,a,9286,a,b,12181,a),flip(a)]. 12184 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5219(a,1),12182(a,2,1))]. 12185 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(285,a,9802,a(flip),b,12184,a),flip(a)]. 12186 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4187(a,2),12185(a,1,2))]. 12187 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9737(a,1),12186(a,1,2,1))]. 12188 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4182(a,2),12187(a,1,2,1))]. 12190 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),6821(a,1,2,1))]. 12191 (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(10318(a,1),9544(a,1,1)),flip(a)]. 12192 (1 / x) * (((1 / x) / (y * ((1 / x) / y))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(7173(a,1),12191(a,1,2,1,2))]. 12194 (1 / x) * (K(y \ (1 / x),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),12192(a,1,2,1))]. 12195 (1 / x) * (K(y \ (x \ 1),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),12194(a,1,2,1))]. 12196 (1 / x) * (1 / (y * ((1 / x) / y))) = (x \ 1) / (y * ((1 / x) / y)). [para(11312(a,1),12195(a,1,2))]. 12197 (1 / x) * (1 / (y * ((1 / x) / y))) = ((y \ (x \ 1)) * y) * x. [hyper(285,a,6824,a(flip),b,12196,a),flip(a)]. 12198 ((x \ ((1 / y) \ 1)) * x) * (1 / y) = y * (1 / (x * (y / x))). [hyper(66,a,12121,a(flip),b,12197,a),flip(a)]. 12199 ((x \ y) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(90(a,1),12198(a,1,1,1,2))]. 12200 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(8907(a,1),10271(a,2,1))]. 12201 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(9984(a,1),12200(a,2,1))]. 12202 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(3339(a,1),12201(a,2,2))]. 12204 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(6468(a,1),12202(a,2,2))]. 12205 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(285,a,5792,a(flip),b,12204,a),flip(a)]. 12206 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2606(a,1),12205(a,1,2,3))]. 12207 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4803(a,1),12206(a,1,2))]. 12208 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(1089,a,12207,a)]. 12209 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(66,a,1535,a(flip),b,12208,a),flip(a)]. 12210 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [para(117(a,2),12209(a,1,1))]. 12211 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12210(a,2,2))]. 12212 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),12211(a,2,2,1))]. 12213 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(66,a,10307,a(flip),b,12212,a),flip(a)]. 12216 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(11966(a,1),11988(a,2,1,1))]. 12217 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),12190(a,1,2,1,1))]. 12218 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(112(a,1),12217(a,1,2)),flip(a)]. 12219 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(112(a,1),12218(a,2,2,1))]. 12220 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(6681(a,1),12219(a,2,2,1,1))]. 12221 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(285,a,6136,a(flip),b,12220,a),flip(a)]. 12222 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(285,a,6934,a(flip),b,12221,a),flip(a)]. 12223 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(571(a,1),12222(a,1,2,2,2))]. 12224 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(66,a,6935,a(flip),b,12223,a),flip(a)]. 12225 K(x,R(y \ 1,z,u) \ (x \ 1)) = R(K(x,x \ y),z,u). [hyper(66,a,9319,a(flip),b,12224,a),flip(a)]. 12226 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(66,a,7307,a(flip),b,12224,a),flip(a)]. 12227 K(x,(y * z) / (T(y,z) * x)) = R(K(x,x \ z),z,y). [hyper(66,a,8926,a(flip),b,12225,a)]. 12228 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),y,z). [hyper(66,a,8688,a,b,12227,a)]. 12229 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12226,a),flip(a)]. 12230 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(10936(a,1),6296(a,1,3)),flip(a)]. 12231 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(15(a,1),12230(a,2,3,1,1))]. 12232 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(285,a,4802,a(flip),b,12231,a),flip(a)]. 12234 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(5292(a,1),12232(a,1,1))]. 12235 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(98(a,1),12234(a,1,2,2))]. 12236 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(10936(a,1),12235(a,1,2)),flip(a)]. 12237 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(15(a,1),12236(a,2,2,1,1))]. 12238 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(285,a,5334,a(flip),b,12237,a),flip(a)]. 12240 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(285,a,6189,a(flip),b,12238,a),flip(a)]. 12241 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12240(a,1),394(a,1,1))]. 12242 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(66,a,7676,a(flip),b,12241,a),flip(a)]. 12243 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6097(a,1),9700(a,1,1,1))]. 12244 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6134(a,1),12243(a,1,1)),flip(a)]. 12245 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(285,a,10228,a(flip),b,12244,a),flip(a)]. 12247 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6097(a,1),12245(a,1,1))]. 12248 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(66,a,11208,a,b,12247,a)]. 12249 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6097(a,1),12248(a,1,2,1))]. 12250 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10160(a,1),12249(a,1,2))]. 12251 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9827(a,1),12250(a,1,2,2))]. 12253 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9830(a,1),12251(a,1,2,2))]. 12254 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(7896,a,12253,a),flip(a)]. 12256 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(11645,a,12254,a)]. 12257 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7512,a,12254,a)]. 12259 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11967,a(flip),b,12257,a),flip(a)]. 12260 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(285,a,10199,a(flip),b,12257,a),flip(a)]. 12261 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(606(a,1),12257(a,1,2,2)),flip(a)]. 12262 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12260(a,1),11274(a,1,2))]. 12263 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(66,a,11969,a(flip),b,12259,a)]. 12264 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2229(a,1),12263(a,1,2)),flip(a)]. 12265 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(66,a,11972,a,b,12264,a)]. 12266 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(285,a,5130,a(flip),b,12265,a)]. 12267 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(37,a,5130,a(flip),b,12266,a)]. 12268 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(285,a,10585,a(flip),b,8963,a),flip(a)]. 12269 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(285,a,7884,a(flip),b,12268,a),flip(a)]. 12270 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),9490(a,1,1,1))]. 12271 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6897(a,1),12270(a,1,1,2))]. 12272 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(11515(a,1),12271(a,1,1,2))]. 12273 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),12272(a,1,2,1))]. 12274 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5334(a,1),12273(a,1,2))]. 12275 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(66,a,11946,a(flip),b,12274,a),flip(a)]. 12277 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9289(a,1),12275(a,1,2,1,2,1))]. 12278 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(7679(a,1),12277(a,1,2,1))]. 12279 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9466(a,1),12278(a,1,2))]. 12280 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(7684,a,12279,a)]. 12281 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(12280(a,1),12115(a,1,2))]. 12282 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(5454,a,12281,a),flip(a)]. 12284 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(5320(a,1),12282(a,1,1))]. 12285 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(66,a,9225,a(flip),b,12284,a)]. 12286 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,9728,a(flip),b,12285,a),flip(a)]. 12287 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12286,a),flip(a)]. 12289 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3075(a,1),8931(a,1,1,1,2))]. 12290 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10160(a,1),11847(a,1,1))]. 12291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(285,a,14,a(flip),b,12040,a),flip(a)]. 12293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12039(a,1),12291(a,1,3))]. 12296 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4815(a,1),12289(a,1,1,1))]. 12297 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(115(a,1),12296(a,1,1,1)),flip(a)]. 12301 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3075(a,1),12297(a,2,1,3,2))]. 12302 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(14(a,1),12301(a,2,1,3))]. 12306 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4802(a,1),12302(a,2,1))]. 12307 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(87(a,1),12306(a,1,1,1,1,2))]. 12309 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3075(a,1),12307(a,1,1,2))]. 12310 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(66,a,6737,a(flip),b,12309,a)]. 12312 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(27(a,2),12310(a,1,1,1,1)),flip(a)]. 12313 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(9829(a,1),12290(a,1,1,2))]. 12315 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10163(a,1),12313(a,1,1))]. 12316 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(10156(a,1),12315(a,1,1)),flip(a)]. 12317 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(7996(a,1),12316(a,2,2,1))]. 12319 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(6142(a,1),12317(a,1,1))]. 12320 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(66,a,9196,a(flip),b,12319,a),flip(a)]. 12322 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11966(a,1),11976(a,1,2,1,1))]. 12323 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11279(a,1),12322(a,1,2,1))]. 12324 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7942(a,1),12323(a,1,2,1,1))]. 12325 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11953(a,1),12324(a,1,2,1))]. 12326 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12012(a,1),12325(a,1,2)),flip(a)]. 12327 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(285,a,12022,a(flip),b,12326,a),flip(a)]. 12328 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(11966(a,1),12327(a,1,2))]. 12329 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5316(a,1),6188(a,1,1,1,2))]. 12330 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6829(a,1),12329(a,1,1,1))]. 12331 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1580(a,1),12330(a,1,2))]. 12332 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(760,a,12331,a),flip(a)]. 12333 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1580(a,1),12332(a,1,1))]. 12334 (x * (y * (1 / (z * (y / z))))) * a(x,K((1 / y) \ K(z \ y,z),1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(12199(a,1),6825(a,1,1,2))]. 12335 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),7314(a,2,2))]. 12336 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12335(a,1,1,3,2,2))]. 12337 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12336(a,1,2,1,2,2))]. 12338 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(7313,a,12337,a)]. 12339 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5083(a,1),12334(a,1,2,2,1))]. 12340 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(4598(a,1),12339(a,1,2,2))]. 12341 (x * (y * (1 / (z * (y / z))))) * a(x,K(y,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5265(a,1),12340(a,1,2,2))]. 12342 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = (x * (y * (1 / (z * (y / z))))) * 1. [para(4899(a,1),12341(a,1,2)),flip(a)]. 12344 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [hyper(285,a,13,a(flip),b,12342,a),flip(a)]. 12346 (x * K((y \ z) * y,1 / z)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(5083(a,1),12344(a,1,1,2,1))]. 12347 (x * K((y \ z) * y,z \ 1)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(4598(a,1),12346(a,1,1,2))]. 12348 (x * K(y,y \ 1)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [para(5265(a,1),12347(a,1,1,2))]. 12349 x / ((y \ 1) * (z * (y / z))) = x * (y * (1 / (z * (y / z)))). [hyper(66,a,7421,a(flip),b,12348,a)]. 12351 K((T(x \ y,y \ x) * (1 / (x \ y))) \ (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(6883(a,1),11348(a,1,1,1))]. 12352 K(((T(x \ y,y \ x) \ 1) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(11456(a,1),12351(a,1,1))]. 12353 K((T((x \ y) \ 1,x \ y) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(2501(a,2),12352(a,1,1,1,1))]. 12354 K((T(x \ y,y \ x) * (1 / (x \ y))) * (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(6883(a,1),12353(a,1,1,1))]. 12355 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2618(a,1),10666(a,2,1))]. 12356 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(11518(a,1),12355(a,2,1))]. 12357 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(12(a,1),12356(a,2,2,2))]. 12358 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(16(a,1),12357(a,2,2))]. 12359 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(285,a,5190,a,b,12358,a),flip(a)]. 12361 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(10664(a,1),12359(a,1,1,1,2,1)),flip(a)]. 12362 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(12(a,1),12361(a,2,1,1,2))]. 12364 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(16(a,1),12362(a,2,1,1))]. 12365 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12364(a,1),10665(a,1,2))]. 12366 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2498,a,12365,a)]. 12367 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11805,a,12366,a),flip(a)]. 12369 x * K(y \ L(y,z,u),a(u,z,y)) = x. [hyper(124,a,12367,a,b,79,a)]. 12370 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5349,a,12369,a)]. 12371 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12370(a,1),6769(a,1,2)),flip(a)]. 12372 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(180,a,12371,a)]. 12374 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(605(a,1),11242(a,1,1))]. 12375 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5166(a,1),12374(a,1,1,1,2))]. 12376 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(66,a,5945,a(flip),b,12375,a),flip(a)]. 12377 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2155(a,1),12376(a,1,1,2))]. 12378 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(838(a,1),12377(a,1,1,2,1,2))]. 12379 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1360(a,1),12378(a,1,1,2,1,2))]. 12380 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(209(a,1),12379(a,1,1,2))]. 12381 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(513,a,12380,a),flip(a)]. 12383 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6275,a,12381,a),flip(a)]. 12386 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(118(a,1),12381(a,2,1))]. 12387 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5334(a,2),12383(a,1,1))]. 12388 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(12383(a,1),7511(a,1,1))]. 12390 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(285,a,6322,a,b,12387,a)]. 12391 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(124,a,12386,a(flip),b,6204,a(flip))]. 12392 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(14(a,1),12391(a,1,2,1)),flip(a)]. 12393 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(6756,a,12392,a),flip(a)]. 12394 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6174,a,12392,a)]. 12395 R(x,y,K(x \ 1,z)) = x. [hyper(475,a,12392,a)]. 12397 R(x \ 1,y,K(x,z)) = x \ 1. [para(3341(a,1),12395(a,1,3))]. 12398 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(12397(a,1),112(a,1,1)),flip(a)]. 12400 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [hyper(66,a,6650,a(flip),b,12394,a)]. 12401 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4586(a,1),12394(a,1,1,1)),flip(a)]. 12402 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(12394(a,1),7399(a,1,1,2)),flip(a)]. 12403 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(509(a,1),12400(a,1,2))]. 12404 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(66,a,6107,a(flip),b,12401,a)]. 12405 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(113(a,1),12404(a,1,2))]. 12406 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(285,a,7399,a(flip),b,12402,a),flip(a)]. 12407 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4221(a,2),12406(a,2,2))]. 12409 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(12393(a,1),6637(a,1,1))]. 12410 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(6756,a,12398,a),flip(a)]. 12411 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,12398,a)]. 12412 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [hyper(224,a,12398,a,b,5360,a),flip(a)]. 12413 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(66,a,8735,a(flip),b,12411,a)]. 12414 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [hyper(66,a,6637,a(flip),b,12411,a)]. 12416 T(x,L(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12413,a(flip),b,5125,a(flip)),flip(a)]. 12418 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12416,a),flip(a)]. 12419 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(453(a,1),12418(a,1,2)),flip(a)]. 12420 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(66,a,9801,a,b,12405,a)]. 12421 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(606(a,1),12420(a,1,2,2))]. 12422 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5334(a,2),12390(a,1,1))]. 12423 K(x / K(y \ 1,z),y) = K(x,y). [hyper(37,a,8343,a,b,12422,a)]. 12424 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(37,a,5130,a(flip),b,12422,a)]. 12425 K(x * K(y \ 1,z),y) = K(x,y). [para(16(a,1),12423(a,1,1)),flip(a)]. 12426 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [para(12423(a,1),5344(a,1,2)),flip(a)]. 12427 K(x * K(y,z \ 1),z) = K(x,z). [para(7396(a,1),12423(a,1,1))]. 12428 K(x / T(y,z \ 1),z) = K(x / y,z). [para(7419(a,1),12423(a,1,1)),flip(a)]. 12431 K(K(x,y \ 1) * z,y) = K(z,y). [para(5334(a,1),12424(a,1,1))]. 12432 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5585(a,1),12424(a,1,1)),flip(a)]. 12433 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6468(a,1),12425(a,1,1,2))]. 12434 K(x * K(y,y \ z),y / z) = K(x,y / z). [para(5612(a,1),12427(a,1,1,2))]. 12435 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5818(a,1),12427(a,1,1))]. 12436 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5612(a,1),12431(a,1,1,1))]. 12439 K(x,y / K(x \ 1,z)) = K(x,y). [hyper(285,a,5344,a(flip),b,12426,a),flip(a)]. 12440 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3341(a,1),12439(a,1,2,2))]. 12441 K(x,y * K(z,x \ 1)) = K(x,y). [para(7396(a,1),12439(a,1,2))]. 12442 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6392(a,1),12441(a,1,2,2))]. 12443 K(x,K(x \ 1,y) * z) = K(x,z). [para(7723(a,1),12441(a,1,2)),flip(a)]. 12444 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(124,a,12443,a(flip),b,5125,a(flip)),flip(a)]. 12445 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5545(a,1),12443(a,1,2))]. 12446 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(6254(a,1),12443(a,1,2)),flip(a)]. 12447 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(11083,a,12428,a)]. 12449 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(7419(a,1),12440(a,1,2)),flip(a)]. 12450 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(285,a,5130,a,b,12444,a),flip(a)]. 12452 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(5545(a,1),12450(a,1,2))]. 12453 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5854(a,1),12450(a,1,2)),flip(a)]. 12456 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,(y * x) \ (x * z)). [hyper(66,a,9754,a(flip),b,12445,a)]. 12458 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6585(a,1),12433(a,1,1)),flip(a)]. 12459 K(x * (y / z),z / y) = K(x * (z \ y),z / y). [para(6523(a,1),12434(a,1,1))]. 12460 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5854(a,1),12436(a,1,1)),flip(a)]. 12461 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6523(a,1),12442(a,1,2))]. 12462 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5360(a,1),12446(a,1,2,2)),flip(a)]. 12464 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8573(a,1),12462(a,1,2,2))]. 12466 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(12447(a,2),11083(a,1))]. 12467 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((K(x * (L(z,u,w) \ y),L(z,u,w) / y) * L(z,u,w)) / y,z). [para(12459(a,1),10923(a,1,1,1,1)),flip(a)]. 12468 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(66,a,10701,a,b,12460,a)]. 12469 T(K(x \ y,z * (y \ x)),x) = K((x / y) \ 1,z * (x / y)). [para(12461(a,1),8067(a,1,1))]. 12470 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6603(a,1),12464(a,1,2,2)),flip(a)]. 12471 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(404(a,1),12403(a,2,2,1,2))]. 12472 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(66,a,6247,a(flip),b,12412,a),flip(a)]. 12473 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(5019,a,12472,a),flip(a)]. 12474 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(4760,a,12472,a),flip(a)]. 12475 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4941,a,12473,a),flip(a)]. 12477 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(10004(a,1),12474(a,2,2))]. 12478 T(x \ K(y,z),K(x,y)) = x \ K(y,z). [para(2227(a,1),12475(a,2,2))]. 12479 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(12475(a,2),10485(a,1,2))]. 12480 T(K(x,y) / z,T(z,x)) = z \ K(x,y). [hyper(10093,a,12478,a)]. 12481 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(12256(a,2),12479(a,1,2))]. 12482 K(x,(y * z) \ T(z,u)) = T(K(x,y \ K(z,u)),z). [para(12480(a,1),10823(a,1,1,2)),flip(a)]. 12483 T(K(x,(y / z) \ K(z,u)),z) = K(x,y \ T(z,u)). [para(17(a,1),12482(a,1,2,1)),flip(a)]. 12484 K(x,T(y / z,z) \ K(z,u)) = K(x,y \ T(z,u)). [hyper(66,a,9550,a,b,12483,a)]. 12485 K(x,(y * z) \ T(y,u)) = K(x,z \ K(y,u)). [para(208(a,1),12484(a,1,2,1)),flip(a)]. 12486 K((x * y) \ T(x,z),u) = (u \ 1) / (u \ K(u,y \ K(x,z))). [para(12485(a,1),5633(a,1,2,2)),flip(a)]. 12487 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(66,a,12449,a(flip),b,12421,a)]. 12488 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(66,a,8686,a(flip),b,12487,a),flip(a)]. 12489 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(12488(a,1),6101(a,1,1))]. 12490 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ (x \ (x * z))). [hyper(285,a,9451,a(flip),b,12456,a),flip(a)]. 12491 K((x / y) \ 1,z * (x / y)) = K(y / x,z * (y \ x)). [hyper(10968,a,12469,a),flip(a)]. 12492 K(x / y,z * (y / x)) = K(x / y,z * (x \ y)). [hyper(10990,a,12491,a)]. 12493 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(12470(a,1),8377(a,1,1))]. 12494 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(66,a,11241,a,b,12477,a)]. 12495 K((x * y) \ T(x,z),u) = K(y \ K(x,z),u). [hyper(285,a,5633,a(flip),b,12486,a),flip(a)]. 12496 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(15(a,1),12495(a,1,1,1)),flip(a)]. 12497 K(T(x / y,T(y,x)) \ K(y,z),u) = K(x \ T(y,z),u). [para(3981(a,2),12496(a,1,1,1))]. 12498 T(K((x / y) \ K(y,z),u),T(y,x)) = K(x \ T(y,z),u). [hyper(66,a,8981,a(flip),b,12497,a)]. 12499 T(K(x \ T(y,z),u),T(y,x)) = K((x / y) \ K(y,z),u). [hyper(7987,a,12498,a)]. 12500 K((x / y) \ K(y,z),u) = T(K(x \ T(y,z),u),y). [hyper(66,a,10062,a(flip),b,12499,a),flip(a)]. 12501 K((x / y) \ K(y,z),u) = K(x \ T(y,z),T(u,y)). [hyper(285,a,7681,a,b,12500,a),flip(a)]. 12502 K((x / L(y,z,u)) \ K(L(y,z,u),w),(v5 * y) / v5) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(637(a,1),12501(a,2,2))]. 12503 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ z). [para(14(a,1),12490(a,2,2,2))]. 12504 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(14(a,1),12503(a,1,2,1,1)),flip(a)]. 12505 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(8428,a,12493,a)]. 12506 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(10942,a,12505,a),flip(a)]. 12508 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(10753,a,12388,a),flip(a)]. 12509 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(6275,a,12508,a),flip(a)]. 12513 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12508(a,2,2))]. 12514 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(285,a,12338,a(flip),b,12509,a),flip(a)]. 12516 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12513(a,1,1,2))]. 12517 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6275,a,12516,a),flip(a)]. 12518 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(30(a,2),12517(a,2,2))]. 12519 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(12517(a,2),6239(a,1,2))]. 12520 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(263,a,12519,a)]. 12521 R(K(x,y),z,x \ 1) = K(x,y). [hyper(475,a,12520,a)]. 12522 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(11080,a,12521,a)]. 12523 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [hyper(124,a,12522,a(flip),b,5805,a),flip(a)]. 12524 T(x,R(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12522,a(flip),b,5125,a(flip)),flip(a)]. 12526 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12524,a),flip(a)]. 12527 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(706(a,1),12526(a,1,2))]. 12528 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(285,a,3195,a(flip),b,12523,a),flip(a)]. 12529 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(122,a,12528,a,b,4428,a)]. 12530 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(66,a,10686,a(flip),b,12527,a)]. 12531 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(86(a,1),12530(a,1,2,2))]. 12532 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(118(a,1),12531(a,1,2)),flip(a)]. 12533 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(285,a,10694,a(flip),b,12532,a),flip(a)]. 12534 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(66,a,12453,a(flip),b,12533,a)]. 12535 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(66,a,12419,a(flip),b,12534,a)]. 12536 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(27(a,2),12534(a,1,2,1)),flip(a)]. 12537 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(12535(a,1),8359(a,1,1,2))]. 12538 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(66,a,9626,a(flip),b,12536,a)]. 12539 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(285,a,12452,a(flip),b,12538,a),flip(a)]. 12540 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(66,a,9607,a(flip),b,12539,a)]. 12541 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(657(a,1),12529(a,2,2))]. 12542 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5382(a,1),12541(a,1,2)),flip(a)]. 12543 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(12542(a,1),8608(a,1,2,1))]. 12544 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(66,a,9104,a(flip),b,12543,a)]. 12545 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(8364,a,12537,a),flip(a)]. 12546 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(122,a,12545,a(flip),b,5130,a(flip)),flip(a)]. 12547 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(285,a,5125,a,b,12546,a),flip(a)]. 12548 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(66,a,10804,a(flip),b,12547,a),flip(a)]. 12549 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(14(a,1),12548(a,1,2,1,2)),flip(a)]. 12550 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(242(a,1),12549(a,1,2,1,2))]. 12551 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3645(a,1),12407(a,1,2,1))]. 12552 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(66,a,5949,a(flip),b,12551,a)]. 12553 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(90(a,1),12552(a,2,2,1,2))]. 12554 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(79(a,1),12553(a,2,2,1))]. 12556 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(186(a,1),12554(a,2,2,2))]. 12557 L(K(x,y),z,y \ 1) = K(x,y). [para(12(a,1),12556(a,2,2))]. 12561 K(L(x,y,z \ 1),z) = K(x,z). [hyper(66,a,8726,a(flip),b,12557,a)]. 12562 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,6664,a(flip),b,12557,a)]. 12563 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [hyper(124,a,12557,a(flip),b,7068,a(flip))]. 12565 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(789(a,1),12561(a,1,1))]. 12566 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8015(a,1),12563(a,1,2)),flip(a)]. 12567 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,10689,a(flip),b,12562,a)]. 12568 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(285,a,12435,a(flip),b,12567,a),flip(a)]. 12569 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,12568,a)]. 12570 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(66,a,11303,a(flip),b,12569,a),flip(a)]. 12571 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(66,a,8626,a(flip),b,12569,a)]. 12572 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(116(a,1),12569(a,1,1,1)),flip(a)]. 12573 K(L(x,y,y \ 1) \ z,y) = K(x \ (y \ (z * y)),y). [hyper(285,a,9347,a(flip),b,12571,a),flip(a)]. 12574 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(285,a,8199,a(flip),b,12573,a),flip(a)]. 12575 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12574(a,1),5722(a,1,2,1,2))]. 12576 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(10953,a,12570,a)]. 12577 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(11084,a,12576,a),flip(a)]. 12579 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(116(a,1),12577(a,1,1,2)),flip(a)]. 12580 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(66,a,12432,a(flip),b,12572,a),flip(a)]. 12581 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(66,a,9123,a,b,12580,a)]. 12582 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(12581(a,1),11114(a,1,1))]. 12583 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(11321(a,1),12581(a,2,1,2,1))]. 12584 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(12466,a,12579,a),flip(a)]. 12585 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(66,a,11169,a,b,12584,a)]. 12586 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(285,a,12106,a(flip),b,12585,a),flip(a)]. 12587 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6120(a,2),12586(a,1,1))]. 12588 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(11000,a,12565,a)]. 12589 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5464,a,12582,a)]. 12590 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(38,a,11111,a,b,12589,a)]. 12591 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6626(a,2),12590(a,1,1))]. 12592 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(7270(a,1),12590(a,2,2,2,1))]. 12593 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(267(a,1),12591(a,2,2))]. 12594 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(285,a,6658,a(flip),b,12593,a),flip(a)]. 12596 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8015(a,1),12566(a,1,2,2)),flip(a)]. 12597 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5865,a,12575,a),flip(a)]. 12598 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2958(a,1),12597(a,1,1,1))]. 12599 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(66,a,6705,a(flip),b,12598,a)]. 12600 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(285,a,9402,a(flip),b,12599,a),flip(a)]. 12601 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(66,a,12588,a(flip),b,12600,a),flip(a)]. 12602 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(10953,a,12601,a),flip(a)]. 12603 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(285,a,12107,a(flip),b,12602,a),flip(a)]. 12604 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(14(a,1),12603(a,1,1,1)),flip(a)]. 12605 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(66,a,12109,a(flip),b,12604,a)]. 12606 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(16(a,1),12604(a,1,1,1)),flip(a)]. 12607 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(4597,a,12606,a)]. 12608 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8940,a,12607,a)]. 12610 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3062(a,2),12608(a,1,1,2))]. 12611 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(66,a,8937,a(flip),b,12610,a)]. 12613 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(66,a,9634,a(flip),b,12611,a)]. 12615 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,11915,a(flip),b,12613,a),flip(a)]. 12616 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8455,a,12615,a),flip(a)]. 12618 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(285,a,9355,a(flip),b,12616,a),flip(a)]. 12619 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(66,a,11731,a,b,12618,a)]. 12621 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12619(a,1),6963(a,1,1,1))]. 12622 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(66,a,9379,a(flip),b,12621,a),flip(a)]. 12624 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(17(a,1),12622(a,1,3,2)),flip(a)]. 12625 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,5977,a(flip),b,12409,a)]. 12626 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(66,a,5969,a(flip),b,12489,a)]. 12627 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(7396(a,1),12494(a,1,1,2))]. 12628 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(66,a,12229,a(flip),b,12626,a)]. 12629 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(7587(a,1),12627(a,1,1))]. 12631 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(12629(a,1),6129(a,1))]. 12633 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(489(a,1),12628(a,1,2,1)),flip(a)]. 12634 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(66,a,12550,a(flip),b,12471,a),flip(a)]. 12635 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(285,a,12403,a(flip),b,12634,a),flip(a)]. 12636 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(66,a,11501,a(flip),b,12635,a),flip(a)]. 12637 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(9881,a,12636,a)]. 12638 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(10958,a,12637,a)]. 12639 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(66,a,12414,a,b,12638,a)]. 12640 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(66,a,12504,a(flip),b,12639,a)]. 12641 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(66,a,9785,a(flip),b,12639,a),flip(a)]. 12642 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(15(a,1),12639(a,1,2,1)),flip(a)]. 12643 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(66,a,12410,a(flip),b,12642,a)]. 12644 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(66,a,10508,a(flip),b,12643,a)]. 12645 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(11218,a,12644,a),flip(a)]. 12646 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(66,a,7197,a(flip),b,12644,a),flip(a)]. 12647 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(90(a,1),12644(a,1,2,2,1)),flip(a)]. 12648 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(10954,a,12641,a)]. 12649 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(66,a,9591,a(flip),b,12648,a),flip(a)]. 12651 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(66,a,8020,a(flip),b,12649,a),flip(a)]. 12652 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(66,a,9792,a(flip),b,12645,a)]. 12654 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,12652,a),flip(a)]. 12655 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,9862,a(flip),b,12654,a),flip(a)]. 12656 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(12646(a,1),9651(a,2,1))]. 12657 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(9661,a,12647,a),flip(a)]. 12659 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(12657(a,1),5766(a,1))]. 12660 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8680,a(flip),b,12655,a)]. 12661 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(285,a,12413,a(flip),b,12660,a),flip(a)]. 12663 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(17(a,1),12661(a,1,2,1))]. 12664 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(66,a,8680,a,b,12663,a)]. 12665 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(15(a,1),12664(a,1,2,2,1)),flip(a)]. 12666 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(12665(a,1),6101(a,1,1))]. 12667 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(285,a,3344,a(flip),b,12651,a),flip(a)]. 12668 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(66,a,10856,a(flip),b,12667,a)]. 12669 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(285,a,9021,a,b,12668,a)]. 12670 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(66,a,6101,a(flip),b,12666,a),flip(a)]. 12671 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,7200,a(flip),b,12670,a),flip(a)]. 12672 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9111(a,1),12669(a,1,1))]. 12673 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(15(a,1),12672(a,2,2,1,2,1))]. 12674 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(285,a,7169,a,b,12673,a)]. 12676 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [hyper(124,a,12674,a(flip),b,5125,a(flip)),flip(a)]. 12677 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(285,a,5977,a(flip),b,12656,a),flip(a)]. 12678 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(66,a,7157,a(flip),b,12677,a)]. 12679 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(66,a,12287,a(flip),b,12678,a),flip(a)]. 12680 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,12625,a(flip),b,12679,a),flip(a)]. 12681 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(453(a,1),12680(a,1,2,1))]. 12683 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(12681(a,1),12659(a,1))]. 12684 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4409(a,1),12583(a,2,1,2))]. 12685 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4548(a,1),12592(a,2,2))]. 12686 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(285,a,6678,a(flip),b,12685,a),flip(a)]. 12687 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(5540(a,1),12684(a,2,1))]. 12688 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(285,a,6666,a(flip),b,12687,a),flip(a)]. 12690 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(15(a,1),12514(a,1,1)),flip(a)]. 12691 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(38,a,4932,a(flip),b,12690,a),flip(a)]. 12693 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(12691(a,1),6887(a,1,2,2,2))]. 12694 K((x / L(y,z,u)) \ K(L(y,z,u),w),T(y,v5)) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [hyper(8430,a,12502,a)]. 12695 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K((x / L(y,z,u)) \ 1,T(y,v5)). [hyper(66,a,8588,a(flip),b,12694,a),flip(a)]. 12697 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(L(y,z,u) / x,T(y,v5)). [hyper(285,a,5830,a(flip),b,12695,a),flip(a)]. 12698 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(x \ L(y,z,u),T(y,v5)). [hyper(285,a,7745,a(flip),b,12697,a),flip(a)]. 12699 K(x \ L(T(y,z),u,w),(v5 * y) / v5) = K(x \ L(y,u,w),T(y,v5)). [para(30(a,2),12698(a,1,1,2))]. 12700 K(x \ L(T(y,z),u,w),T(y,v5)) = K(x \ L(y,u,w),T(y,v5)). [hyper(8430,a,12699,a)]. 12701 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x * y)). [hyper(66,a,11827,a,b,12700,a)]. 12702 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(15(a,1),12693(a,1,2,2)),flip(a)]. 12703 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(285,a,5688,a(flip),b,12702,a),flip(a)]. 12705 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(6123(a,1),12703(a,1,2,2,2))]. 12706 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(66,a,7202,a(flip),b,12705,a)]. 12707 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(6565(a,1),12706(a,1,2,2))]. 12708 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(285,a,12670,a(flip),b,12707,a),flip(a)]. 12709 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(5767,a,12708,a)]. 12710 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(66,a,7265,a(flip),b,12708,a),flip(a)]. 12711 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,12671,a(flip),b,12710,a),flip(a)]. 12712 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(285,a,12633,a(flip),b,12711,a),flip(a)]. 12713 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(66,a,12709,a(flip),b,12712,a),flip(a)]. 12714 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(9881,a,12713,a)]. 12715 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(66,a,8683,a(flip),b,12714,a)]. 12716 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,8679,a(flip),b,12715,a),flip(a)]. 12717 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(116(a,1),12715(a,1,2,2)),flip(a)]. 12718 K(x,R(y / (z * u),z * u,x)) = K(x,(y * x) / ((z * x) * u)). [para(113(a,2),12715(a,1,2))]. 12719 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(66,a,10721,a(flip),b,12716,a),flip(a)]. 12720 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,9577,a(flip),b,12716,a)]. 12721 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(124,a,12720,a(flip),b,5125,a(flip))]. 12722 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(12720(a,1),5633(a,1,2,2))]. 12723 K(x,(y * x) / ((z * x) * u)) = K(x,y / (z * u)). [hyper(66,a,9089,a(flip),b,12718,a),flip(a)]. 12725 K(x,(((y * x) * z) / u) \ x) = K(x,u / (y * z)). [hyper(66,a,10854,a(flip),b,12723,a)]. 12726 K(x,y / ((1 / x) * z)) = K(x,(z / y) \ x). [para(88(a,1),12725(a,1,2,1,1)),flip(a)]. 12727 K(x,y / ((1 / x) * (z * x))) = K(x,y / z). [hyper(285,a,10862,a(flip),b,12726,a),flip(a)]. 12728 K(x,y / ((1 / x) * (x / z))) = K(x,y / (z \ 1)). [hyper(66,a,7263,a(flip),b,12727,a)]. 12729 K(x,((x / y) / z) \ x) = K(x,z / (y \ 1)). [hyper(66,a,12726,a(flip),b,12728,a)]. 12730 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (((y \ 1) * x) \ 1)). [para(200(a,2),12729(a,1,2,1,1))]. 12731 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(15(a,1),12719(a,1,2,2,2)),flip(a)]. 12732 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(25(a,2),12731(a,2,2))]. 12734 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10718,a,12732,a)]. 12735 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,R(z,y,T(x,z * y))). [hyper(66,a,10723,a,b,12732,a)]. 12736 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [hyper(66,a,11736,a(flip),b,12732,a)]. 12737 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [hyper(66,a,10717,a(flip),b,12732,a),flip(a)]. 12738 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(12732(a,1),30(a,2,1))]. 12739 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(12734(a,1),476(a,1,1))]. 12740 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [hyper(285,a,9021,a,b,12736,a)]. 12741 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [hyper(66,a,12228,a(flip),b,12737,a),flip(a)]. 12742 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(285,a,12740,a(flip),b,12741,a),flip(a)]. 12743 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(12742(a,1),10597(a,1,2))]. 12744 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(285,a,7681,a,b,12738,a),flip(a)]. 12745 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(32(a,2),12744(a,2,2))]. 12746 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(7681(a,2),12745(a,1,1))]. 12747 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(285,a,8622,a(flip),b,12746,a),flip(a)]. 12748 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(66,a,6813,a(flip),b,12739,a),flip(a)]. 12749 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5274(a,1),12748(a,2,1))]. 12750 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(66,a,9681,a(flip),b,12749,a)]. 12752 L(x,K(y,z),z * y) = x. [hyper(766,a,12750,a)]. 12753 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(513,a,12750,a)]. 12754 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(122,a,5130,a,b,12750,a)]. 12756 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(122,a,15,a(flip),b,12750,a),flip(a)]. 12757 L(x,K(y \ z,y),z) = x. [para(15(a,1),12752(a,1,3))]. 12758 L(x,K(y,y \ z),z) = x. [para(5612(a,1),12757(a,1,2))]. 12759 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(66,a,6278,a(flip),b,12758,a)]. 12760 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [hyper(124,a,12756,a(flip),b,5544,a)]. 12762 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(7884(a,2),12756(a,1,1))]. 12764 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(12631,a,12753,a)]. 12765 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(37,a,11579,a,b,12753,a)]. 12768 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(15(a,1),12759(a,1,2)),flip(a)]. 12769 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(12760(a,1),12312(a,2,1,1))]. 12770 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),12765(a,1,2)),flip(a)]. 12771 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(12768(a,1),12753(a,1,2)),flip(a)]. 12773 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(66,a,11862,a(flip),b,12754,a),flip(a)]. 12774 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7409,a,12773,a)]. 12775 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5452,a,12773,a)]. 12776 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(2236,a,12773,a)]. 12777 x \ R(x,y,x) = a(x,y,x). [hyper(66,a,5764,a(flip),b,12773,a)]. 12778 x * a(x,y,x) = R(x,y,x). [hyper(124,a,12773,a(flip),b,5764,a(flip))]. 12780 K(x,x * y) * a(x,y,x) = K(x,y). [para(12773(a,1),5445(a,1,2))]. 12781 T(x * y,x) / x = y * a(x,y,x). [para(12773(a,1),7477(a,1,2)),flip(a)]. 12782 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12773(a,1),11094(a,1,2))]. 12783 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12773(a,1),11055(a,2,2))]. 12784 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12773(a,1),11942(a,1,1)),flip(a)]. 12785 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(12773(a,1),11945(a,1,1)),flip(a)]. 12786 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12773(a,1),11966(a,1,1)),flip(a)]. 12787 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(66,a,9211,a,b,12777,a)]. 12788 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(66,a,8802,a(flip),b,12777,a),flip(a)]. 12789 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(124,a,12777,a(flip),b,12213,a),flip(a)]. 12791 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12777(a,1),9709(a,1,3))]. 12792 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12778(a,1),304(a,1,2)),flip(b)]. 12793 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12778(a,1),113(a,2,2)),flip(a)]. 12795 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12791(a,1),394(a,1,1)),flip(a)]. 12796 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(15(a,1),12774(a,1,2,2))]. 12797 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (R(a(z,u,z),K(z,z * u),y * x) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(12774(a,1),1191(a,1,2,1)),flip(a)]. 12799 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7409,a,12776,a)]. 12801 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(15(a,1),12780(a,1,1,2))]. 12802 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(12780(a,1),5453(a,1,2)),flip(b)]. 12803 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(66,a,1656,a,b,12781,a)]. 12804 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12781(a,1),118(a,1,1))]. 12805 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12781(a,2),215(a,1,2,2))]. 12807 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12781(a,2),441(a,1,2,2))]. 12808 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12781(a,2),769(a,1,2,2,2))]. 12809 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12781(a,2),7642(a,1,2,1)),flip(a)]. 12810 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(285,a,5785,a,b,12799,a),flip(a)]. 12811 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12799(a,1),1191(a,1,2,1))]. 12812 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6764(a,1),12799(a,2,1))]. 12813 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(8244(a,1),12799(a,1,2))]. 12814 a(x,y,x) \ x = L(x,y,x). [hyper(10928,a,12782,a(flip))]. 12815 (x * y) / L(y,z,y) = x * a(y,z,y). [para(16(a,1),12782(a,1,1)),flip(a)]. 12816 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9688,a,12788,a)]. 12818 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12816(a,2),12792(a,1))]. 12819 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(66,a,9363,a(flip),b,12789,a)]. 12820 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(66,a,9207,a(flip),b,12789,a)]. 12821 x * (y * a(x,z,x)) = R(x,z,x) * y. [hyper(124,a,12789,a(flip),b,1148,a)]. 12822 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(123,a,12789,a(flip),b,9207,a(flip))]. 12823 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(14(a,1),12789(a,1,2)),flip(a)]. 12824 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5527(a,1),12789(a,1,2))]. 12825 R(x,y,x) * (K(x,z) * (x \ u)) = K(x,z) * (u * a(x,y,x)). [para(12789(a,1),6263(a,2,2))]. 12826 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12789(a,1),9362(a,1,1))]. 12827 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(12815(a,1),11613(a,1,2))]. 12828 R(x,y,x) / x = a(x,y,x). [hyper(121,a,12820,a(flip),b,1621,a(flip)),flip(a)]. 12829 (x * y) * a(y,z,y) = x * R(y,z,y). [para(16(a,1),12820(a,1,1)),flip(a)]. 12830 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(12820(a,2),46(a,1))]. 12832 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1581(a,1),12820(a,1,1))]. 12833 a(x,y,x) * x = R(x,y,x). [hyper(136,a,12828,a)]. 12834 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12828(a,1),11438(a,1,1)),flip(a)]. 12836 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12821(a,1),447(a,1,2))]. 12837 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(128,a,12823,a)]. 12839 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(128,a,12827,a)]. 12840 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(122,a,15,a(flip),b,12827,a),flip(a)]. 12841 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(17(a,1),12827(a,1,2)),flip(a)]. 12842 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(128,a,12829,a)]. 12844 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12829(a,1),447(a,1,2,2))]. 12845 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12829(a,1),5812(a,1,1,1,1)),flip(a)]. 12847 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(66,a,1245,a(flip),b,12839,a)]. 12848 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(37,a,1243,a,b,12841,a)]. 12849 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(285,a,12837,a,b,12842,a)]. 12850 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(122,a,12,a(flip),b,12847,a),flip(a)]. 12851 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(66,a,10916,a,b,12847,a)]. 12852 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8961(a,1),12847(a,1,2,1))]. 12853 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12850(a,1),7023(a,1,1,2))]. 12854 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(122,a,12848,a(flip),b,9205,a(flip))]. 12856 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10743,a,12784,a),flip(a)]. 12857 a(x,y,x) * z = z * a(x,y,x). [hyper(66,a,12783,a(flip),b,12784,a),flip(a)]. 12858 T(x,a(y,z,y)) = x. [hyper(224,a,12783,a(flip),b,12784,a(flip))]. 12859 T(a(x,y,x),z) = a(x,y,x). [hyper(224,a,12784,a(flip),b,12783,a(flip))]. 12861 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5785(a,2),12784(a,1,1))]. 12862 x / a(y,z,y) = a(y,z,y) \ x. [hyper(630,a,12858,a),flip(a)]. 12863 K(x,a(y,z,y)) = 1. [hyper(58,a,12858,a)]. 12865 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12858(a,1),226(a,1,2)),flip(b)]. 12867 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12858(a,1),630(a,1))]. 12868 x * K(y,a(z,u,z)) != w | x = w. [para(12863(a,2),133(a,1,2))]. 12869 T(a(x,y,x),z) = T(a(x,y,x),u). [hyper(285,a,12859,a,b,12859,a)]. 12870 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(285,a,12777,a,b,12859,a),flip(a)]. 12871 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12859(a,1),223(a,1,2,1)),flip(a)]. 12873 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(285,a,12823,a(flip),b,12857,a),flip(a)]. 12874 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12862(a,1),12854(a,1,2))]. 12876 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3532(a,1),12870(a,2,2))]. 12880 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12873(a,1),479(a,1,1,1))]. 12882 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(15(a,1),12785(a,1,2,1,1))]. 12883 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6626(a,2),12786(a,1,2,1))]. 12884 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4427(a,1),12861(a,1,2))]. 12885 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(66,a,11943,a(flip),b,12883,a)]. 12886 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(133,a,12885,a),flip(a)]. 12888 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12886(a,2),12885(a,1,1))]. 12889 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(122,a,14,a(flip),b,12888,a)]. 12890 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(285,a,12857,a(flip),b,12889,a),flip(a)]. 12891 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12886(a,1),12890(a,1,1))]. 12892 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(66,a,12765,a(flip),b,12771,a),flip(a)]. 12894 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [hyper(122,a,5671,a(flip),b,12892,a),flip(a)]. 12895 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(37,a,5360,a(flip),b,12892,a),flip(a)]. 12896 L(x,y,K(z,z \ y)) = x. [hyper(5569,a,12895,a)]. 12898 L(x,y * z,K(z,y)) = x. [para(5336(a,1),12896(a,1,3))]. 12899 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(66,a,4624,a(flip),b,12898,a)]. 12900 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(66,a,6157,a,b,12899,a),flip(a)]. 12905 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(185,a,12900,a(flip))]. 12907 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12795(a,1),12804(a,1,1))]. 12908 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [hyper(124,a,12851,a(flip),b,5534,a)]. 12909 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12851(a,2),46(a,1))]. 12910 T(x,R(a(y,z,y),u,w)) = x. [hyper(228,a,12871,a)]. 12911 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(38,a,12770,a,b,12764,a),flip(a)]. 12914 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12882(a,1),5563(a,1,2))]. 12915 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(12907(a,1),1799(a,1,1)),flip(a)]. 12916 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(12762(a,1),8276(a,1,2,2))]. 12917 R(x / y,y,a(y,z,y)) = x / y. [hyper(66,a,12822,a(flip),b,12793,a),flip(a)]. 12919 R((x * y) / y,y,a(y,z,y)) = x. [hyper(285,a,16,a(flip),b,12917,a),flip(a)]. 12920 R(x,y,a(y,z,y)) = x. [para(16(a,1),12919(a,1,1))]. 12923 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12920(a,1),663(a,1,1,1)),flip(a)]. 12924 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12836,a,12849,a)]. 12926 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(285,a,154,a(flip),b,12924,a),flip(a)]. 12927 L(a(x,y,x),z,x) = (u * T(x,w)) \ ((u * K(x,w)) * R(x,y,x)). [para(6311(a,1),12924(a,2,1))]. 12928 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(66,a,10367,a(flip),b,12853,a)]. 12929 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(285,a,9095,a(flip),b,12928,a),flip(a)]. 12932 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(66,a,7018,a(flip),b,12929,a)]. 12933 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(12932(a,1),112(a,1,1)),flip(a)]. 12934 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12820(a,2),12908(a,1,2))]. 12935 (a(x,y,x) * K(x,z)) * u = K(x,z) * (a(x,y,x) * u). [para(10244(a,1),12933(a,1,1))]. 12936 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(285,a,10023,a,b,12914,a),flip(a)]. 12937 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12781(a,1),12803(a,1,1)),flip(a)]. 12938 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(66,a,12857,a,b,12937,a)]. 12939 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * (y \ T(x,K(y,z))))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [hyper(122,a,12825,a,b,446,a)]. 12940 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12909,a,12852,a),flip(a)]. 12942 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12624(a,1),12876(a,2,2))]. 12943 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,9706,a(flip),b,12934,a)]. 12944 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(66,a,12824,a(flip),b,12943,a)]. 12945 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12943(a,1),9414(a,1,2))]. 12946 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,12857,a,b,12944,a)]. 12947 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * (K(x,w) * R(x,y,x))). [para(6338(a,1),12927(a,2,2))]. 12948 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * R(T(x,w),y,x)). [para(9210(a,1),12947(a,2,2,2))]. 12949 (x * T(y,z)) \ (x * R(T(y,z),u,y)) = a(y,u,y). [hyper(4902,a,12948,a)]. 12950 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = a(y,u,y). [para(6321(a,1),12949(a,1,1))]. 12951 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5667,a,12722,a),flip(a)]. 12952 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(7550,a,12951,a),flip(a)]. 12953 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(66,a,8664,a,b,12952,a)]. 12954 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(15(a,1),12952(a,1,1,2,2))]. 12955 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(17(a,1),12953(a,1,1,2,1)),flip(a)]. 12956 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(6026(a,1),12954(a,1,1,1))]. 12957 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(15(a,1),12747(a,1,3)),flip(a)]. 12958 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(12957(a,1),12320(a,1,2))]. 12959 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(285,a,12955,a(flip),b,12956,a),flip(a)]. 12960 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(66,a,5923,a,b,12959,a)]. 12961 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(11695,a,12958,a),flip(a)]. 12962 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(285,a,12911,a(flip),b,12961,a),flip(a)]. 12964 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(66,a,10573,a(flip),b,12962,a)]. 12965 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(66,a,12960,a(flip),b,12964,a)]. 12966 K(R(x,y,z),y) = K(y \ (y * x),y). [para(14(a,1),12964(a,1,1,1))]. 12967 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(285,a,12966,a,b,12966,a)]. 12969 K(R(x,y,z),y) = K(x,y). [hyper(285,a,625,a(flip),b,12966,a),flip(a)]. 12970 K(R(x,y,z),y) != u | K(x,y) = u. [para(12966(a,2),10996(a,1))]. 12971 K(x,R(y,x,z)) = K(x,y). [hyper(11081,a,12969,a)]. 12974 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9024,a(flip),b,12969,a)]. 12978 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(66,a,12736,a,b,12971,a)]. 12979 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(66,a,8980,a(flip),b,12971,a)]. 12982 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12971(a,1),12262(a,1,2,2))]. 12992 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(12967(a,1),9023(a,1,2)),flip(a)]. 12995 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(9860(a,1),12970(a,1))]. 12998 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(12978(a,1),12743(a,1,2)),flip(a)]. 12999 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(66,a,12605,a,b,12965,a)]. 13000 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(66,a,11197,a,b,12965,a)]. 13001 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(66,a,9603,a,b,12965,a)]. 13002 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(66,a,12953,a(flip),b,12965,a),flip(a)]. 13004 K(x,L(T(x \ y,z),x,z)) = K(x,x \ ((z * y) / z)). [hyper(66,a,9907,a,b,12979,a)]. 13005 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(66,a,9593,a,b,12979,a)]. 13006 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(66,a,8679,a(flip),b,12979,a)]. 13007 T(x,R(y,x,z)) = T(x,y). [hyper(285,a,9083,a(flip),b,12992,a),flip(a)]. 13011 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(494(a,1),13007(a,1,2))]. 13012 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(13007(a,1),9027(a,1,1))]. 13013 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(13001(a,1),7790(a,1,1))]. 13014 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(14(a,1),13005(a,1,2,1)),flip(a)]. 13015 K(x \ y,((y / x) \ z) / u) = K(x \ y,(x \ y) \ (z / u)). [hyper(66,a,10305,a,b,13006,a)]. 13016 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(13006(a,1),12721(a,1,2))]. 13017 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(7552,a,12974,a)]. 13018 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11563(a,2),12995(a,1))]. 13020 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(12999(a,1),6115(a,1,1,1,1,2))]. 13021 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(13000(a,1),5805(a,1,2,1,2)),flip(a)]. 13022 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(13002(a,1),10130(a,1,2)),flip(a)]. 13023 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(66,a,10725,a(flip),b,13012,a)]. 13024 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5379(a,1),13012(a,2,2))]. 13027 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7726,a,13013,a)]. 13028 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(66,a,10470,a(flip),b,13027,a)]. 13029 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(13028(a,1),7399(a,1,1,2)),flip(a)]. 13030 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5180,a,13016,a),flip(a)]. 13031 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(285,a,7399,a(flip),b,13029,a),flip(a)]. 13032 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(8426,a,13031,a)]. 13033 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(87(a,1),13032(a,1,2,1,2)),flip(a)]. 13034 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(66,a,9457,a,b,13033,a)]. 13035 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(12971(a,1),13017(a,1,1))]. 13037 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ ((x * z) / x)). [hyper(66,a,9455,a,b,13015,a)]. 13038 K(x \ y,(x \ y) \ (y / z)) = K(x \ y,x / z). [para(90(a,1),13015(a,1,2,1)),flip(a)]. 13039 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(66,a,10647,a(flip),b,13023,a),flip(a)]. 13040 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(285,a,10502,a(flip),b,13022,a),flip(a)]. 13042 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(285,a,12971,a(flip),b,12735,a),flip(a)]. 13044 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(66,a,9915,a(flip),b,13042,a)]. 13045 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3831(a,2),13044(a,1,2,1,2))]. 13046 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(15(a,1),12894(a,1,2,1,2))]. 13047 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(66,a,11156,a(flip),b,13046,a),flip(a)]. 13048 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12926(a,2,2))]. 13049 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(12073(a,1),13047(a,1,2))]. 13050 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [hyper(138,a,13049,a),flip(a)]. 13051 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(10021(a,1),12805(a,1,2,2))]. 13052 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(122,a,12936,a(flip),b,103,a)]. 13053 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5666,a,12945,a),flip(a)]. 13054 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(116(a,1),13051(a,1,2)),flip(a)]. 13055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(66,a,32,a,b,13011,a)]. 13056 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4814(a,1),13034(a,2,2))]. 13057 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(285,a,4123,a(flip),b,13055,a),flip(a)]. 13058 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(285,a,10437,a(flip),b,13056,a),flip(a)]. 13059 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(285,a,10067,a(flip),b,13058,a),flip(a)]. 13060 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(285,a,32,a,b,13057,a),flip(a)]. 13061 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13030(a,1),13060(a,1,1))]. 13062 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(16(a,1),13061(a,1,1,2,2)),flip(a)]. 13063 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(54,a,13062,a)]. 13064 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(13062(a,1),332(a,1,2))]. 13065 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(13062(a,1),5643(a,1,2,1))]. 13066 T(x,x \ R(x,y,z)) = x. [hyper(192,a,13063,a),flip(a)]. 13068 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(124,a,13066,a(flip),b,117,a(flip))]. 13069 R(x,y,z) / x = x \ R(x,y,z). [para(13066(a,1),249(a,1,2))]. 13070 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(13066(a,1),5137(a,1,1,1)),flip(a)]. 13071 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(13066(a,1),5179(a,1,2,1)),flip(a)]. 13072 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12787(a,1),13068(a,1,1))]. 13073 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(13069(a,1),493(a,1,1))]. 13074 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(13069(a,1),9343(a,1,1))]. 13075 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(13069(a,1),11807(a,1,2,2))]. 13076 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7453(a,1),13072(a,1,2)),flip(a)]. 13079 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(597(a,1),13064(a,1,2,1))]. 13081 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(180,a,13079,a)]. 13083 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(87(a,1),13081(a,1,1,1,1)),flip(a)]. 13084 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(13081(a,1),9680(a,1,2,1)),flip(a)]. 13086 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5806(a,1),13083(a,2,1))]. 13087 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(7514(a,1),13083(a,1,1)),flip(a)]. 13088 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(66,a,8918,a,b,13087,a)]. 13089 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6133(a,1),13087(a,1,1))]. 13090 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7681(a,2),13088(a,2,1))]. 13091 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(112(a,1),13089(a,1,1))]. 13093 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(13070(a,2),306(a,1))]. 13095 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(285,a,79,a(flip),b,13071,a),flip(a)]. 13097 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(13095(a,1),8316(a,1,1,2))]. 13098 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7681(a,2),13091(a,2,1))]. 13099 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8330(a,1),13098(a,2,1))]. 13100 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5334(a,1),13073(a,1,1))]. 13101 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(13073(a,2),8083(a,1,1))]. 13102 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(13073(a,1),9021(a,2,2))]. 13103 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(13076(a,2),47(a,1))]. 13104 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(11081,a,13101,a)]. 13105 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5458(a,1),13101(a,2,2))]. 13106 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(13101(a,1),10114(a,2,2))]. 13107 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(66,a,5643,a(flip),b,13065,a),flip(a)]. 13108 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(66,a,6485,a(flip),b,13107,a),flip(a)]. 13111 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(13107(a,1),5097(a,1,1,2))]. 13112 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(285,a,7796,a(flip),b,12769,a),flip(a)]. 13113 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(27(a,2),13112(a,1,1,3))]. 13114 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7761(a,1),13113(a,2,1))]. 13115 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(66,a,7018,a(flip),b,13114,a)]. 13116 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),6588(a,2,2))]. 13117 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),8554(a,2,2))]. 13118 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13116,a),flip(a)]. 13119 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7682(a,1),13118(a,2,2))]. 13120 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(66,a,6581,a(flip),b,13119,a)]. 13121 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13120(a,2),46(a,1))]. 13122 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(66,a,12889,a(flip),b,12845,a),flip(a)]. 13123 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12834(a,1),13122(a,1,1,1)),flip(a)]. 13124 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(285,a,13083,a,b,13123,a),flip(a)]. 13125 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12372(a,1),13124(a,2,1))]. 13126 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12868,a,13125,a),flip(a)]. 13128 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(66,a,470,a,b,13126,a)]. 13129 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [hyper(66,a,114,a,b,13126,a)]. 13130 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(7286(a,1),12982(a,2,2))]. 13132 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(8406(a,1),13130(a,1,2))]. 13133 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(285,a,5805,a(flip),b,13021,a),flip(a)]. 13134 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(66,a,10281,a(flip),b,13133,a)]. 13136 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(285,a,13108,a(flip),b,13134,a),flip(a)]. 13137 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(11497,a,13136,a),flip(a)]. 13139 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(66,a,6720,a(flip),b,13137,a),flip(a)]. 13140 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(66,a,12086,a(flip),b,13139,a)]. 13141 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(285,a,12097,a(flip),b,13140,a),flip(a)]. 13142 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(32(a,2),13141(a,1,2))]. 13143 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(66,a,6959,a(flip),b,13142,a)]. 13144 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(285,a,10698,a(flip),b,13143,a),flip(a)]. 13145 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(66,a,8542,a(flip),b,13144,a)]. 13146 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2090(a,1),13145(a,2,2,1))]. 13147 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(13146(a,1),11464(a,1,1,2))]. 13148 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(285,a,7761,a(flip),b,12717,a),flip(a)]. 13149 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(285,a,1086,a(flip),b,12942,a),flip(a)]. 13150 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(285,a,1514,a(flip),b,13149,a),flip(a)]. 13151 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9704(a,1),13150(a,2,1,2))]. 13152 (x * R(x \ y,z,x \ y)) / y != u | T(a(1 / (x / y),z,1 / (x / y)),w) = u. [para(13151(a,1),4222(a,1))]. 13153 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(66,a,6115,a(flip),b,13020,a),flip(a)]. 13154 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(66,a,8123,a(flip),b,13153,a),flip(a)]. 13155 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(66,a,13040,a(flip),b,13154,a),flip(a)]. 13157 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(285,a,626,a(flip),b,13155,a),flip(a)]. 13159 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(4611(a,1),13157(a,1,1))]. 13160 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(13159(a,1),11470(a,1,2))]. 13161 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(66,a,12596,a(flip),b,13160,a)]. 13163 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7682(a,1),13161(a,1,2))]. 13164 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(66,a,6246,a,b,13163,a)]. 13165 L(x,y \ 1,K(z,y)) = x. [hyper(5648,a,13164,a)]. 13166 L(x,y,K(z,y \ 1)) = x. [hyper(66,a,7072,a(flip),b,13165,a)]. 13167 L(x,y \ 1,K(z,y)) != u | x = u. [para(13165(a,1),53(a,2))]. 13168 L(x,y,K(z,y \ 1)) != u | x = u. [para(13166(a,1),53(a,2))]. 13170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5193(a,1),13074(a,2,1))]. 13171 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12777(a,1),13170(a,1,1))]. 13172 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(285,a,9366,a,b,13171,a)]. 13173 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(13103,a,13172,a)]. 13174 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(13173(a,1),13129(a,1,1,1,1))]. 13175 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(13171(a,1),13174(a,1,1,1))]. 13176 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(593(a,1),13175(a,1,1))]. 13177 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(285,a,13173,a(flip),b,13176,a),flip(a)]. 13178 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(13152,a,13177,a)]. 13179 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11508(a,1),13178(a,1,1))]. 13180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(285,a,6304,a(flip),b,13086,a),flip(a)]. 13181 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6302(a,1),13180(a,1,1)),flip(a)]. 13182 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(13181(a,1),12819(a,1,2))]. 13183 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(187(a,1),13097(a,1,1))]. 13185 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7396(a,1),13183(a,1,2))]. 13186 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6966(a,1),13185(a,1,2)),flip(a)]. 13187 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(285,a,12,a(flip),b,13186,a),flip(a)]. 13188 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5452,a,13187,a)]. 13189 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6076(a,1),13188(a,1,2,2))]. 13190 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(10159(a,1),13188(a,1,1))]. 13191 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11625(a,1),13188(a,1,1))]. 13192 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5653,a,13191,a)]. 13193 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10040(a,1),13191(a,1,2,2))]. 13194 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(11744,a,13192,a)]. 13196 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(11748(a,1),13193(a,1,2))]. 13197 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5453,a,13196,a)]. 13198 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(13196(a,1),5453(a,1)),flip(b)]. 13200 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,13194,a,b,13197,a)]. 13201 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(66,a,13039,a(flip),b,13197,a)]. 13203 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(13201(a,1),10544(a,1,1))]. 13205 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(13200(a,1),11764(a,1,1)),flip(a)]. 13206 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(51,a,13205,a)]. 13208 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(7546,a,13206,a),flip(a)]. 13209 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(285,a,8826,a,b,13206,a)]. 13210 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(66,a,7001,a,b,13206,a)]. 13212 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(13194(a,2),13198(a,1))]. 13213 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(13212,a,13208,a),flip(a)]. 13215 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(285,a,11773,a(flip),b,13213,a),flip(a)]. 13216 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(285,a,10620,a(flip),b,13104,a),flip(a)]. 13217 K(a(x,y,z),x) = 1. [hyper(13093,a,13216,a),flip(a)]. 13220 T(a(x,y,z),x) = a(x,y,z). [hyper(59,a,13217,a)]. 13221 T(x,a(x,y,z)) = x. [hyper(57,a,13220,a)]. 13222 a(x,y,z) * x = x * a(x,y,z). [hyper(124,a,13220,a(flip),b,27,a(flip)),flip(a)]. 13223 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3935(a,2),13220(a,1,1))]. 13224 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(13221(a,1),222(a,1,2,1)),flip(a)]. 13225 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(66,a,11150,a(flip),b,13222,a),flip(a)]. 13226 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(66,a,13179,a(flip),b,13223,a),flip(a)]. 13227 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(13224(a,1),1564(a,2,2,1,2)),flip(a)]. 13228 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(13225(a,1),11151(a,1,2,2))]. 13229 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(66,a,7150,a(flip),b,13228,a)]. 13230 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(66,a,12916,a,b,13229,a)]. 13231 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(285,a,11268,a(flip),b,13230,a),flip(a)]. 13233 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(66,a,9856,a,b,13231,a)]. 13234 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5798(a,1),13111(a,1,1))]. 13235 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,32,a,b,13234,a)]. 13236 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5097(a,1),13235(a,1,1)),flip(a)]. 13237 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(285,a,34,a(flip),b,13236,a),flip(a)]. 13238 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(13237(a,1),1825(a,1,1,1)),flip(a)]. 13239 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5798(a,1),13147(a,1,1))]. 13240 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5785(a,1),13239(a,1,1,1,2))]. 13241 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(66,a,32,a,b,13240,a)]. 13242 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(5719(a,1),13241(a,1,1)),flip(a)]. 13243 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(285,a,9222,a(flip),b,13148,a),flip(a)]. 13244 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(8426,a,13243,a)]. 13245 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(66,a,10806,a(flip),b,13244,a)]. 13247 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(66,a,11531,a(flip),b,13245,a)]. 13248 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9575,a,13247,a),flip(a)]. 13250 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(161(a,1),13247(a,2,2))]. 13251 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(13247(a,1),6670(a,1))]. 13252 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(66,a,12544,a(flip),b,13250,a)]. 13254 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(14(a,1),13252(a,2,2))]. 13255 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10873,a(flip),b,13254,a),flip(a)]. 13257 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(66,a,10492,a,b,13255,a)]. 13259 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(66,a,8928,a(flip),b,13257,a)]. 13260 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(79(a,1),13248(a,1,2,2))]. 13261 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9295(a,1),13189(a,1,1))]. 13262 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5125(a,2),13261(a,1,2))]. 13264 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6120(a,1),13262(a,1,1))]. 13265 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(285,a,9211,a(flip),b,13264,a),flip(a)]. 13266 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2232,a,13265,a)]. 13268 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(13266(a,1),11904(a,1,1,2))]. 13270 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(355(a,1),13233(a,2,2))]. 13271 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(285,a,9032,a(flip),b,13270,a),flip(a)]. 13273 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(66,a,8710,a(flip),b,13271,a)]. 13275 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12940(a,1),12813(a,1,1)),flip(a)]. 13276 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(66,a,10392,a(flip),b,13275,a),flip(a)]. 13278 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7782,a,13276,a)]. 13280 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(28(a,1),13278(a,1,2,2))]. 13281 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8565(a,1),13278(a,1,1,2))]. 13282 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(9341(a,1),13278(a,1,1))]. 13283 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9769(a,1),13278(a,1,1))]. 13284 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(13280(a,1),47(a,1))]. 13285 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6421(a,1),13106(a,1,2))]. 13286 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(66,a,10159,a(flip),b,13285,a)]. 13287 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7681(a,2),13190(a,1,2,2,1))]. 13288 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(32(a,2),13210(a,1,1))]. 13289 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5334(a,1),13287(a,1,2))]. 13290 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,13215,a(flip),b,13288,a),flip(a)]. 13291 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(13290(a,1),11753(a,1,1))]. 13292 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(285,a,7720,a(flip),b,13291,a),flip(a)]. 13293 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(38,a,11796,a,b,13289,a),flip(a)]. 13295 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2720(a,1),13293(a,1,2,2))]. 13296 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(285,a,7908,a,b,13295,a),flip(a)]. 13297 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(13295(a,1),7888(a,1,2)),flip(a)]. 13298 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),13296(a,1,2,2))]. 13299 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7145(a,1),13298(a,1,2)),flip(a)]. 13300 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(66,a,10119,a,b,13299,a)]. 13301 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(66,a,7908,a,b,13299,a)]. 13302 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7764(a,1),13299(a,1,2)),flip(a)]. 13303 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(17(a,1),13300(a,2,2,2))]. 13304 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(285,a,7908,a,b,13301,a),flip(a)]. 13305 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(285,a,7881,a,b,13303,a),flip(a)]. 13306 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(66,a,10280,a(flip),b,13304,a),flip(a)]. 13307 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(66,a,10189,a(flip),b,13305,a)]. 13309 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(13307(a,1),8942(a,1,1))]. 13310 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(13307(a,1),9924(a,1,1))]. 13311 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(13310(a,1),4783(a,1)),flip(b)]. 13312 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7908(a,1),13310(a,1,1))]. 13314 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7331(a,2),13311(a,1))]. 13315 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7761(a,1),13311(a,1,2))]. 13318 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7861(a,2),13311(a,1))]. 13321 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7884(a,1),13311(a,1))]. 13322 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7884(a,2),13311(a,1))]. 13328 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(10124(a,1),13311(a,1))]. 13329 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10277(a,1),13311(a,1))]. 13330 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(10665(a,2),13311(a,1))]. 13341 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(66,a,10157,a(flip),b,13312,a)]. 13345 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(87(a,1),13341(a,1,2,2,2))]. 13346 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7927,a,13309,a)]. 13347 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(87(a,1),13309(a,1,2)),flip(a)]. 13349 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7859(a,1),13346(a,1,1))]. 13350 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7884(a,1),13347(a,2,1))]. 13351 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8945,a,13349,a)]. 13352 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(180,a,13350,a)]. 13353 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11363(a,1),13351(a,1,1,1,1))]. 13355 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(5283,a,13352,a)]. 13356 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(56,a,13355,a)]. 13357 a(K(x * y,K(z,u)),x,y) = 1. [para(14(a,1),13356(a,1,3))]. 13358 a(K(K(x,y),z),u,u \ z) = 1. [para(7331(a,2),13356(a,1,1))]. 13359 a(K(x,K(y,z * u)),z,u) = 1. [para(7859(a,1),13357(a,1,1))]. 13360 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(285,a,7925,a,b,13358,a),flip(a)]. 13361 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(285,a,7862,a(flip),b,13297,a),flip(a)]. 13362 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(66,a,12261,a(flip),b,13361,a)]. 13363 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8235(a,2),13315(a,1))]. 13364 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10261(a,2),13328(a,1))]. 13366 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7761(a,1),13302(a,1,2))]. 13368 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7990(a,1),13362(a,1,2)),flip(a)]. 13369 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8014(a,1),13368(a,1,2)),flip(a)]. 13370 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10198,a,13369,a),flip(a)]. 13371 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(7145(a,1),13369(a,1,2)),flip(a)]. 13372 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(66,a,8532,a(flip),b,13371,a),flip(a)]. 13373 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13372(a,1),5306(a,1,1))]. 13375 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9953(a,2),13363(a,1))]. 13376 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10090,a,13370,a),flip(a)]. 13377 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(10068,a,13376,a)]. 13378 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(285,a,5130,a(flip),b,13377,a),flip(a)]. 13379 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5207,a,13378,a)]. 13380 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13379(a,1),13259(a,1,1))]. 13381 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(17(a,1),13306(a,1,2,1)),flip(a)]. 13382 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(13345(a,1),13360(a,2,2))]. 13383 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(13321,a,13381,a)]. 13384 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(66,a,13366,a(flip),b,13383,a)]. 13385 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(13384(a,1),7915(a,2,2))]. 13386 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(7881(a,1),13385(a,2,2))]. 13387 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7884(a,2),13382(a,2,2))]. 13388 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7331(a,1),13387(a,1,1))]. 13389 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(285,a,11986,a(flip),b,13388,a)]. 13390 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(285,a,13359,a(flip),b,13389,a),flip(a)]. 13391 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(66,a,12267,a(flip),b,13390,a)]. 13392 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(14(a,1),13391(a,1,2,2,2,3))]. 13393 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8288(a,1),13380(a,1,1,2))]. 13394 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7700(a,1),13393(a,1,1)),flip(a)]. 13395 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(285,a,10572,a(flip),b,13394,a),flip(a)]. 13397 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(462(a,1),13395(a,1,2,1,1)),flip(a)]. 13398 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(7551,a,13397,a)]. 13399 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(66,a,10673,a(flip),b,13398,a),flip(a)]. 13401 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(66,a,13247,a(flip),b,13399,a)]. 13402 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(79(a,1),13401(a,1,2,2))]. 13403 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(66,a,6110,a(flip),b,13402,a)]. 13405 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13403(a,2),5320(a,1,1))]. 13406 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6137,a,13405,a)]. 13407 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(355(a,2),13406(a,2,2)),flip(a)]. 13408 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(66,a,12039,a(flip),b,13100,a),flip(a)]. 13410 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12829(a,1),12923(a,2,2))]. 13411 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(285,a,12826,a(flip),b,13410,a),flip(a)]. 13413 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(12858(a,1),13411(a,1,1))]. 13415 L(x,a(x,y,x),z) = x. [para(12919(a,1),13413(a,1,3))]. 13416 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(13415(a,1),410(a,1,2,1))]. 13417 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5150(a,1),13024(a,1,1)),flip(a)]. 13418 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5150(a,1),13417(a,2,2,1))]. 13419 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),13048(a,2,2,1))]. 13421 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12789(a,1),13419(a,2,2))]. 13422 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(285,a,14,a(flip),b,13421,a),flip(a)]. 13423 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4902,a,13422,a),flip(a)]. 13425 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12858(a,1),12809(a,2,1,1))]. 13427 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12859(a,1),13425(a,1,1))]. 13429 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12858(a,1),13427(a,1,2)),flip(a)]. 13430 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(66,a,13054,a,b,13429,a)]. 13431 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5150(a,1),13430(a,1,1,2)),flip(a)]. 13432 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5150(a,1),13431(a,2,2))]. 13433 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4481(a,1),13099(a,1,1))]. 13434 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4555(a,1),13182(a,1,2,1)),flip(a)]. 13435 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7997(a,1),13433(a,1,1,2))]. 13436 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9528,a,13435,a),flip(a)]. 13438 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9568(a,1),13436(a,1,1))]. 13439 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(66,a,9867,a(flip),b,13438,a)]. 13440 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(66,a,7033,a(flip),b,13438,a)]. 13441 R(K(x,y),L(x,z,u),w) = v5 / (K(y,x) * v5). [para(13438(a,1),6135(a,1,2,1)),flip(a)]. 13443 R(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,5448,a(flip),b,13441,a),flip(a)]. 13444 K(x,(L(x,y,z) * u) / w) = K(x,(w / u) \ L(x,y,z)). [hyper(66,a,6583,a(flip),b,13443,a)]. 13446 K(((x * y) / x) \ L(z,u,w),z) = K(L(z,u,w) * (y \ K(y,x)),z). [para(5413(a,1),13439(a,1,1,2)),flip(a)]. 13447 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(285,a,6481,a(flip),b,13440,a),flip(a)]. 13449 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,9534,a(flip),b,13444,a),flip(a)]. 13450 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(L(x,w,v5) * u) / z). [hyper(66,a,7188,a(flip),b,13444,a),flip(a)]. 13451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(66,a,10735,a,b,13447,a)]. 13452 T(x,y) \ T(x * K((z / u) \ L(x,w,v5),x),y) = K((L(x,w,v5) * u) / z,T(x,y)). [para(13447(a,1),5722(a,1,2,1,2))]. 13453 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(8429,a,13451,a)]. 13454 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(10963,a,13453,a)]. 13455 K(x / (y / L(z,u,w)),z) = K((y / x) \ L(z,u,w),z). [hyper(66,a,10353,a,b,13454,a)]. 13456 K((x * L(y,z,u)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,9514,a,b,13455,a)]. 13457 K((x * T(L(y,z,u),w)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,10355,a,b,13456,a)]. 13458 K((x * L(T(y,z),u,w)) / z,y) = K((z / x) \ L(y,u,w),y). [para(30(a,2),13457(a,1,1,1,2))]. 13459 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(z / u) \ L(x,w,v5)). [hyper(285,a,13444,a(flip),b,13450,a),flip(a)]. 13460 K(x,((y * (z * (1 / (1 / (z \ (y \ u)))))) / w) \ L(x,v5,v6)) = K(x,(u / w) \ L(x,v5,v6)). [para(2784(a,1),13459(a,1,2,1,1))]. 13461 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(w \ 1,u)). [hyper(285,a,9530,a(flip),b,13449,a),flip(a)]. 13463 K((L(x,y,z) * u) / w,T(x,v5)) = K((w / u) \ L(x,y,z),T(x,v5)). [hyper(5865,a,13452,a),flip(a)]. 13465 K((x / y) \ L(z,u,w),T(z,y)) != v5 | K(x \ (L(z,u,w) * y),z) = v5. [para(13463(a,1),10988(a,1))]. 13466 K(x,T((1 / (1 / (y \ (L(x,z,u) \ w)))) \ 1,y)) = K(x,(w / y) \ L(x,z,u)). [hyper(66,a,13461,a(flip),b,13460,a)]. 13467 K(x,T(1 / (y \ (L(x,z,u) \ w)),y)) = K(x,(w / y) \ L(x,z,u)). [para(90(a,1),13466(a,1,2,1))]. 13468 K(x,y / (L(x,z,u) \ w)) = K(x,(w / y) \ L(x,z,u)). [hyper(10991,a,13467,a)]. 13470 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9716(a,2),12807(a,1,2,2))]. 13471 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * T(y \ x,K(y,z)))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(12475(a,2),12939(a,1,2,2,2))]. 13472 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12833(a,1),13128(a,1,1,1))]. 13473 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(473(a,1),13472(a,1,1))]. 13474 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(285,a,1825,a(flip),b,13238,a),flip(a)]. 13475 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(32(a,2),13474(a,2,3))]. 13476 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10283(a,1),13282(a,1,1)),flip(a)]. 13477 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7687(a,1),13476(a,2,2))]. 13479 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(66,a,13423,a(flip),b,13477,a),flip(a)]. 13481 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(28(a,1),13479(a,1,1,2))]. 13482 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(4604(a,1),13283(a,1,1))]. 13483 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5547(a,2),13353(a,1,1))]. 13484 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(13314,a,13483,a)]. 13485 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(66,a,13301,a(flip),b,13484,a)]. 13486 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(17(a,1),13485(a,1,2,2)),flip(a)]. 13487 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(13322,a,13486,a)]. 13488 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(103(a,1),13470(a,1,2)),flip(a)]. 13489 (x * K(y,z)) \ (R(y,u,y) * ((y \ x) * K(y,z))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(116(a,1),13471(a,1,2,2))]. 13490 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(11180(a,1),13489(a,1,2))]. 13491 L(a(x,y,x),T(z,K(x,u)),K(x,u)) = a(x,y,x). [hyper(66,a,12950,a(flip),b,13490,a),flip(a)]. 13493 L(a(x,y,x),z,K(x,u)) = a(x,y,x). [para(208(a,1),13491(a,1,2))]. 13495 x \ (K(y,z) \ ((a(y,u,y) * K(y,z)) * x)) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(13493(a,1),1127(a,1,2,2,1,1))]. 13497 x \ (K(y,z) \ (K(y,z) * (a(y,u,y) * x))) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(12935(a,1),13495(a,1,2,2))]. 13498 R(T(a(x,y,x),K(x,z) * u),K(x,z),u) = u \ (a(x,y,x) * u). [para(14(a,1),13497(a,1,2)),flip(a)]. 13501 R(T(a(x,y,x),z),K(x,u),w) = w \ (a(x,y,x) * w). [para(12869(a,1),13498(a,1,1))]. 13502 R(T(a(x,y,x),z),K(x,u),w) = T(a(x,y,x),w). [hyper(285,a,27,a,b,13501,a),flip(a)]. 13505 R(a(x,y,x),K(x,z),u) = a(x,y,x). [hyper(144,a,13502,a(flip))]. 13506 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12468(a,1),13482(a,1,1))]. 13507 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5830(a,1),13506(a,1,2))]. 13508 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8391(a,1),13507(a,1,2))]. 13509 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(285,a,13226,a(flip),b,13508,a),flip(a)]. 13510 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12840(a,1),13052(a,1,1))]. 13511 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(7646(a,1),13510(a,1,1))]. 13513 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(13511(a,1),304(a,1)),flip(b)]. 13515 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13117,a),flip(a)]. 13516 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7682(a,1),13515(a,2,2))]. 13517 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13516(a,1,1,2,2,1))]. 13518 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8538(a,1),13517(a,1,1,2))]. 13519 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7693(a,1),13518(a,1,1))]. 13520 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13519(a,1,2,1,1,1))]. 13522 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13520(a,1),5279(a,1,2)),flip(a)]. 13523 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(285,a,5544,a(flip),b,13522,a),flip(a)]. 13524 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4072,a,13523,a)]. 13526 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(66,a,8396,a(flip),b,13524,a),flip(a)]. 13527 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13526(a,2),13132(a,1,1))]. 13528 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2539(a,1),13075(a,1,2)),flip(a)]. 13530 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8852(a,1),13528(a,1,2,1))]. 13531 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11803(a,1),13530(a,1,2)),flip(a)]. 13532 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8852(a,1),13531(a,2,3))]. 13533 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(66,a,13268,a(flip),b,13532,a),flip(a)]. 13535 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12777(a,1),13533(a,1,2))]. 13536 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12886(a,2),13535(a,1,3))]. 13537 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(492,a,13536,a)]. 13538 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12886(a,1),13537(a,1,2))]. 13539 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(285,a,12862,a(flip),b,13538,a),flip(a)]. 13540 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(13538(a,2),12867(a,1))]. 13541 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(66,a,9220,a(flip),b,13539,a),flip(a)]. 13542 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(8986(a,1),13209(a,1,1,2))]. 13543 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(586(a,1),13542(a,1,1))]. 13544 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(223(a,1),13543(a,1,2)),flip(a)]. 13545 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(285,a,1825,a(flip),b,13544,a),flip(a)]. 13546 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(32(a,2),13545(a,2,3))]. 13547 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(66,a,13206,a(flip),b,13546,a)]. 13548 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(13212,a,13547,a)]. 13550 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(66,a,11774,a(flip),b,13548,a),flip(a)]. 13552 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13475,a,b,13550,a)]. 13553 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12818,a,13552,a)]. 13554 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(13553(a,1),13434(a,1,2)),flip(a)]. 13555 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(27(a,2),13554(a,2,2,2))]. 13556 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(11773(a,1),13555(a,2,2))]. 13557 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8906(a,1),13281(a,1,1))]. 13558 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7995(a,1),13557(a,1,1))]. 13559 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9977(a,1),13558(a,1,1))]. 13560 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6468(a,1),13559(a,1,2))]. 13561 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8967(a,1),13560(a,1,2))]. 13562 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(66,a,13509,a(flip),b,13561,a),flip(a)]. 13563 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(9261(a,1),12832(a,1,2)),flip(a)]. 13564 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(285,a,12333,a(flip),b,13563,a),flip(a)]. 13566 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12789(a,1),13564(a,2,1))]. 13567 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(285,a,13416,a(flip),b,13566,a),flip(a)]. 13568 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12940(a,1),13567(a,1,2))]. 13570 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13568(a,1),13227(a,1,1))]. 13572 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13570(a,1),304(a,1)),flip(b)]. 13574 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(66,a,10509,a(flip),b,13045,a)]. 13575 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(66,a,5836,a(flip),b,13574,a)]. 13576 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(12683,a,13575,a)]. 13578 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(6321(a,1),13576(a,1,2,1))]. 13579 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(9881,a,13578,a),flip(a)]. 13580 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,12644,a(flip),b,13579,a),flip(a)]. 13581 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,8604,a(flip),b,13580,a),flip(a)]. 13583 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(285,a,9456,a(flip),b,13581,a),flip(a)]. 13584 K(x,L(y,x,z)) = K(x,y). [hyper(9884,a,13583,a),flip(a)]. 13586 K(x,L(y,x,z)) != u | K(x,y) = u. [para(13583(a,1),9884(a,1))]. 13587 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(9454,a,13584,a)]. 13589 K(L(x,y,z),y) = K(x,y). [hyper(66,a,8731,a,b,13584,a)]. 13591 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(66,a,13059,a(flip),b,13584,a)]. 13592 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [hyper(66,a,13004,a(flip),b,13584,a)]. 13595 L(x,y,z) * (K(y,L(x,y,z)) * u) = (L(x,y,z) * K(y,x)) * u. [para(13584(a,1),4409(a,1,1,2)),flip(a)]. 13600 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(66,a,9349,a(flip),b,13589,a)]. 13604 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9113(a,1),13586(a,1))]. 13605 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(10022(a,1),13586(a,1))]. 13607 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(13587(a,1),9415(a,1,2))]. 13609 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(285,a,11390,a,b,13591,a)]. 13610 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(285,a,4943,a,b,13591,a)]. 13611 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(124,a,13591,a,b,5125,a(flip))]. 13616 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(87(a,1),13600(a,1,1,1))]. 13621 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [para(15(a,1),13592(a,1,2,2,1)),flip(a)]. 13622 (x * K(y,y \ z)) * z = x * (y * (z / y)). [hyper(66,a,12998,a,b,13607,a)]. 13624 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(13609(a,1),5190(a,2,1)),flip(a)]. 13625 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(5180,a,13611,a)]. 13626 T(x,T(x \ y,z)) = (x \ T(y,z)) \ T(y,z). [hyper(285,a,117,a(flip),b,13625,a),flip(a)]. 13627 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(66,a,3038,a(flip),b,13625,a),flip(a)]. 13628 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(13627(a,1),249(a,1,2))]. 13629 K(x,T(x \ (y \ z),z)) = K(x,x \ (z / y)). [hyper(66,a,10401,a,b,13621,a)]. 13630 R(x,K(y,y \ z),z) = x. [hyper(5570,a,13622,a)]. 13631 R(x,K(y,z),z * y) = x. [para(5336(a,1),13630(a,1,2))]. 13632 x / (K(y,z) * (z * y)) = (x / (z * y)) * K(z,y). [hyper(66,a,7425,a(flip),b,13631,a)]. 13633 K(x,x \ (y / (y / z))) = K(x,T(x \ z,y)). [para(90(a,1),13629(a,1,2,1,2)),flip(a)]. 13634 K(x,x \ ((y * z) / y)) = K(x,x \ (y / (y / z))). [hyper(285,a,13592,a,b,13633,a)]. 13640 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(627,a,13628,a)]. 13641 (x / (y * z)) * K(y,z) = x / (z * y). [para(5146(a,1),13632(a,1,2)),flip(a)]. 13643 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(13641(a,1),6311(a,1,1)),flip(a)]. 13644 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(13641(a,1),6336(a,1,1))]. 13647 (x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y). [para(17(a,1),13643(a,1,1,2)),flip(a)]. 13648 (1 / (x * y)) * (T(x,y) * T(T(x,y) \ (x * y),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(13643(a,1),5966(a,2,1,1))]. 13649 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ (x / (x / z))). [hyper(66,a,13037,a,b,13634,a)]. 13650 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(66,a,7301,a(flip),b,13640,a),flip(a)]. 13651 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5410,a,13644,a)]. 13652 a((x * y) \ 1,y,x) / x = (1 / (y * x)) * y. [hyper(66,a,10252,a(flip),b,13651,a)]. 13653 1 / L(x,y,(x * y) \ 1) = (1 / (y * x)) * y. [hyper(66,a,12063,a(flip),b,13652,a)]. 13654 (1 / ((x \ y) * x)) * (x \ y) = 1 / L(x,x \ y,y \ 1). [para(15(a,1),13653(a,1,2,3,1)),flip(a)]. 13655 L(x,y,(x * y) \ 1) \ 1 = T((1 / (y * x)) * y,x). [para(13653(a,1),10458(a,1,1)),flip(a)]. 13656 1 / T((1 / (x * y)) * x,y) = L(y,x,(y * x) \ 1). [hyper(185,a,13655,a)]. 13657 L(x,y,(y * x) \ 1) = L(x,y,(x * y) \ 1). [hyper(10466,a,13656,a)]. 13658 L(x \ y,x,((x \ y) * x) \ 1) = L(x \ y,x,y \ 1). [para(15(a,1),13657(a,1,3,1)),flip(a)]. 13659 L(x,y / x,(x * (y / x)) \ 1) = L(x,y / x,y \ 1). [para(17(a,1),13657(a,1,3,1)),flip(a)]. 13660 (x / (y * (z / y))) * (z / y) = (x / z) * (y \ z). [para(118(a,1),13647(a,2,2))]. 13661 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(y / x,x). [para(13660(a,1),5883(a,1,1)),flip(a)]. 13662 L(x \ y,x,((x \ y) * x) \ 1) = ((1 / y) * x) \ 1. [hyper(285,a,3666,a(flip),b,13658,a),flip(a)]. 13663 K((((1 / x) * y) \ 1) / ((((y \ x) * y) \ 1) * x),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13662(a,1),5837(a,1,1,1))]. 13664 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(66,a,9901,a(flip),b,13624,a),flip(a)]. 13665 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(13664(a,2),4519(a,1,2))]. 13666 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(263,a,13665,a)]. 13667 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(13666(a,1),8816(a,1,1))]. 13668 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(13667(a,1),11245(a,1,1)),flip(a)]. 13669 T(x,L(y,x,z)) = T(x,y). [hyper(8506,a,13595,a(flip))]. 13672 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(66,a,9354,a(flip),b,13669,a)]. 13674 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(124,a,13669,a(flip),b,27,a(flip))]. 13676 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(459(a,1),13669(a,1,2))]. 13680 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(13674(a,1),1247(a,1,2,2))]. 13681 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(x \ y,x). [para(5323(a,1),13661(a,2,2))]. 13682 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(285,a,8813,a(flip),b,13668,a),flip(a)]. 13683 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(66,a,5389,a(flip),b,13682,a),flip(a)]. 13684 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(16(a,1),13683(a,2,1))]. 13685 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(27(a,2),13684(a,1,3))]. 13686 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(13685(a,1),5285(a,1,2))]. 13687 L(x,y / x,(x * (y / x)) \ 1) = L(x,x \ y,y \ 1). [hyper(285,a,5677,a(flip),b,13681,a),flip(a)]. 13688 L(x,y / x,y \ 1) = L(x,x \ y,y \ 1). [hyper(66,a,13659,a(flip),b,13687,a)]. 13689 1 / L(x,x \ y,y \ 1) = (1 / y) * (y / x). [para(13688(a,1),3669(a,1,2))]. 13690 (1 / ((x \ y) * x)) * (x \ y) = (1 / y) * (y / x). [hyper(66,a,13654,a,b,13689,a)]. 13691 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((1 / ((x \ y) * x)) * y) / ((1 / y) * (y / x)),z). [para(13690(a,1),9904(a,1,1,2)),flip(a)]. 13692 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(66,a,11724,a(flip),b,13686,a),flip(a)]. 13693 K(x * y,z) * x = x * K(y * x,z). [hyper(13121,a,13692,a)]. 13694 K(x * y,T(z,x)) = K(y * x,z). [hyper(7726,a,13693,a)]. 13695 K(x * y,T(z,y)) = K(y * x,z). [hyper(38,a,7997,a,b,13693,a)]. 13700 K(x * y,z) * y = y * K(y * x,z). [para(13694(a,1),7997(a,1,1))]. 13701 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13694(a,1),8503(a,1,2)),flip(a)]. 13702 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13694(a,1),11906(a,1,1))]. 13703 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [hyper(124,a,13695,a(flip),b,5125,a(flip))]. 13706 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13700(a,1),13527(a,1,1,1))]. 13707 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6545,a,13703,a)]. 13708 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(122,a,13707,a,b,4913,a)]. 13709 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13701(a,2),7399(a,1,1))]. 13710 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13709(a,1),7516(a,1,2)),flip(a)]. 13711 K(x,T(y * z,y)) = K(x,z * y). [hyper(8642,a,13710,a(flip))]. 13712 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(11021,a,13711,a)]. 13713 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(11020,a,13711,a)]. 13715 K(x,T(y * z,z)) = K(x,z * y). [hyper(66,a,10086,a,b,13711,a)]. 13717 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13711(a,1),13366(a,1,2)),flip(a)]. 13718 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(13715(a,1),7779(a,1,1))]. 13719 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(285,a,13407,a(flip),b,13713,a),flip(a)]. 13720 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(13328,a,13717,a)]. 13721 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(5744,a,13718,a)]. 13722 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(66,a,10132,a(flip),b,13720,a),flip(a)]. 13723 T(x,T(y * z,z)) = T(x,z * y). [hyper(37,a,7825,a,b,13721,a)]. 13724 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [hyper(8241,a,13723,a)]. 13726 T(x,T(y * z,y)) = T(x,z * y). [hyper(37,a,7825,a,b,13724,a)]. 13727 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(66,a,8819,a(flip),b,13719,a),flip(a)]. 13728 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13406,a(flip),b,13727,a)]. 13729 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13273,a,b,13728,a)]. 13730 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),13728(a,1,2)),flip(a)]. 13731 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13728(a,1),13296(a,1,2))]. 13732 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2969(a,1),13731(a,1,2,2))]. 13733 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13732(a,1),13386(a,2,2))]. 13734 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(87(a,1),13733(a,1,1)),flip(a)]. 13736 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7884(a,2),13734(a,1,2))]. 13737 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(27(a,2),13736(a,1,1))]. 13738 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6145(a,2),13706(a,1,2,2))]. 13739 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(7049(a,1),13702(a,1,1,1))]. 13740 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(66,a,10582,a(flip),b,13722,a),flip(a)]. 13741 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(13328,a,13740,a)]. 13742 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6631(a,2),13741(a,2,2))]. 13743 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(15(a,1),13708(a,1,2,2,1))]. 13744 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(66,a,5895,a(flip),b,13743,a),flip(a)]. 13745 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3034(a,1),13744(a,1,1))]. 13746 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(285,a,7085,a(flip),b,13745,a),flip(a)]. 13747 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13746(a,1),7303(a,1,1)),flip(a)]. 13748 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(90(a,1),13747(a,1,1,2,1)),flip(a)]. 13749 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(185,a,13748,a)]. 13750 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(66,a,13650,a,b,13749,a),flip(a)]. 13751 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13750(a,1),2383(a,1,1))]. 13752 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7280(a,2),13751(a,1,1))]. 13753 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(14(a,1),13752(a,1,1,1,1)),flip(a)]. 13754 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1277,a,13753,a)]. 13755 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(11974(a,2),13754(a,2,1,1))]. 13756 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,y / (x / z)). [hyper(285,a,13038,a(flip),b,13649,a),flip(a)]. 13757 K(x / y,(x / y) \ z) = K(y \ x,y / (x / z)). [hyper(13586,a,13756,a)]. 13759 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(285,a,30,a,b,13676,a),flip(a)]. 13760 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(66,a,30,a,b,13759,a)]. 13761 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(116(a,1),13680(a,1,1,1))]. 13762 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1559,a,13761,a),flip(a)]. 13763 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(116(a,1),13762(a,1,2))]. 13764 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(66,a,6658,a(flip),b,13763,a),flip(a)]. 13766 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(13764(a,1),6653(a,1,1))]. 13767 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(13604,a,13766,a),flip(a)]. 13768 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(13767(a,1),12594(a,1,1))]. 13769 L(K(x,x * y),y,z) = K(x,x * y). [para(8730(a,1),13768(a,1,1))]. 13771 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(66,a,9928,a,b,13769,a)]. 13772 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(66,a,12686,a(flip),b,13769,a)]. 13773 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(13769(a,2),5344(a,1,2))]. 13775 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6645,a,13772,a)]. 13777 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(66,a,12640,a,b,13772,a)]. 13778 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(66,a,10489,a(flip),b,13772,a),flip(a)]. 13779 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(66,a,10486,a(flip),b,13772,a)]. 13780 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1245(a,1),13772(a,1,2))]. 13781 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(13772(a,1),6653(a,1,1))]. 13782 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(7040(a,2),13775(a,1,2,1))]. 13783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(66,a,10890,a,b,13779,a)]. 13784 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(13779(a,1),9228(a,1,1))]. 13785 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6035,a,13773,a)]. 13786 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9268(a,2),13773(a,1,2))]. 13787 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(66,a,12688,a(flip),b,13785,a),flip(a)]. 13788 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(66,a,11591,a(flip),b,13785,a)]. 13790 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(15(a,1),13787(a,1,1,2,1)),flip(a)]. 13791 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(203(a,2),13787(a,1,1,2))]. 13792 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(103(a,1),13787(a,1,1,2,1))]. 13793 K((x / y) \ z,T(z,y)) = K(z * (x \ y),z). [hyper(66,a,9375,a,b,13790,a)]. 13794 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(66,a,9305,a(flip),b,13790,a),flip(a)]. 13795 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(66,a,6665,a(flip),b,13790,a)]. 13796 K(x \ (y * z),y) = K(y * (x \ z),y). [para(14(a,1),13794(a,1,1,2,2)),flip(a)]. 13797 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(66,a,9304,a,b,13795,a)]. 13798 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(13795(a,1),5803(a,1,1,1,2))]. 13799 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(13796(a,1),9145(a,1,1))]. 13800 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(16(a,1),13797(a,1,1,1)),flip(a)]. 13801 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [hyper(124,a,13777,a(flip),b,5125,a(flip)),flip(a)]. 13803 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(285,a,5130,a,b,13801,a),flip(a)]. 13804 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(66,a,12540,a(flip),b,13803,a)]. 13805 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(66,a,10879,a(flip),b,13804,a),flip(a)]. 13806 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13805(a,1),5520(a,1,2))]. 13808 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(66,a,12136,a,b,13771,a)]. 13809 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(10855,a,13782,a)]. 13810 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(285,a,7986,a,b,13786,a)]. 13812 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(13604,a,13781,a),flip(a)]. 13813 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9743,a,13812,a)]. 13814 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(66,a,10812,a(flip),b,13813,a),flip(a)]. 13815 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(66,a,11908,a(flip),b,13806,a),flip(a)]. 13817 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(90(a,1),13815(a,1,2,2)),flip(a)]. 13818 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(15(a,2),13817(a,1,2))]. 13819 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7937(a,2),13810(a,1,1))]. 13820 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,13798,a),flip(a)]. 13821 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(66,a,6671,a,b,13820,a)]. 13822 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1148(a,1),13809(a,1,2,1))]. 13823 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(168(a,1),13822(a,1,2,2))]. 13824 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(66,a,13712,a(flip),b,13823,a)]. 13825 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(66,a,9317,a(flip),b,13819,a),flip(a)]. 13826 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(12163,a,13825,a)]. 13827 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(66,a,12587,a(flip),b,13826,a)]. 13830 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(285,a,6626,a,b,13808,a),flip(a)]. 13831 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(4084(a,1),13830(a,1,1,2))]. 13832 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(6480(a,1),13831(a,1,1))]. 13833 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3341(a,1),13832(a,1,1))]. 13834 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(9111(a,1),13833(a,1,1))]. 13835 K(x,y * x) != z | K(x,x * y) = z. [para(13834(a,1),3653(a,1)),flip(b)]. 13836 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(6626(a,2),13834(a,1,1))]. 13838 L(K(x,y * x),y,z) = K(x,y * x). [hyper(66,a,8725,a(flip),b,13836,a)]. 13839 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(13838(a,1),6033(a,1,2)),flip(a)]. 13840 L(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,5344,a(flip),b,13839,a),flip(a)]. 13841 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(13840(a,1),11377(a,1,1)),flip(a)]. 13842 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(66,a,13785,a(flip),b,13841,a),flip(a)]. 13845 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(268(a,1),13842(a,2,1,2))]. 13846 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(393(a,1),13842(a,2,1,2))]. 13847 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(5785(a,1),13845(a,1,1))]. 13848 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(15(a,1),13847(a,1,2))]. 13849 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(66,a,13799,a(flip),b,13848,a)]. 13851 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(14(a,1),13849(a,1,1,1,2)),flip(a)]. 13852 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(13849(a,1),5804(a,1,1,1,2))]. 13853 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(66,a,13794,a(flip),b,13851,a)]. 13854 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(66,a,10613,a(flip),b,13853,a),flip(a)]. 13856 (1 / (x * y)) * (T(x,y) * T(T(y,x),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(4113(a,1),13648(a,1,2,2,1))]. 13857 (1 / (x * y)) * (K(y,z) * (x * y)) = K(((1 / (y * x)) * x) \ 1,z). [para(5740(a,1),13856(a,1,2))]. 13858 (1 / (x * y)) * (K(y,z) * (x * y)) = K((((y * x) \ 1) * x) \ 1,z). [hyper(285,a,6705,a(flip),b,13857,a),flip(a)]. 13859 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7486,a,13852,a),flip(a)]. 13861 K((((1 / x) * y) \ 1) / ((x \ 1) * (y * (x / y))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12242(a,1),13663(a,1,1,2))]. 13862 K((((1 / x) * y) \ 1) * (x * (1 / (y * (x / y)))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12349(a,1),13861(a,1,1))]. 13863 K((((1 / x) * y) \ 1) * (x * ((y * (x / y)) \ 1)),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [hyper(66,a,6699,a(flip),b,13862,a)]. 13864 K((((1 / x) * y) \ 1) * K(y \ x,y),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(7258(a,1),13863(a,1,1,2))]. 13865 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ K(x \ y,x),z). [para(11840(a,1),13864(a,1,1)),flip(a)]. 13866 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(T(((1 / y) * x) \ 1,x),z). [para(6163(a,1),13865(a,2,1))]. 13867 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ 1,T(z,x)). [hyper(285,a,7761,a(flip),b,13866,a),flip(a)]. 13868 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((y \ 1) * x) \ 1,T(z,x)). [hyper(285,a,6705,a(flip),b,13867,a),flip(a)]. 13869 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5785(a,1),13846(a,1,1))]. 13870 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(13791(a,1),13869(a,1,1))]. 13871 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(360(a,1),13870(a,1,2)),flip(a)]. 13873 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(66,a,13792,a(flip),b,13871,a),flip(a)]. 13874 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(13873(a,1),6032(a,1,1))]. 13875 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6475(a,1),13873(a,1,1)),flip(a)]. 13876 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(66,a,9335,a,b,13875,a)]. 13877 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(13875(a,1),5302(a,2,2,2))]. 13878 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(5332,a,13874,a),flip(a)]. 13879 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(13775(a,1),13878(a,1,1))]. 13880 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(285,a,11639,a(flip),b,13877,a),flip(a)]. 13881 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(66,a,13784,a(flip),b,13879,a),flip(a)]. 13882 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(453(a,1),13881(a,1,2,1))]. 13883 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(66,a,13775,a(flip),b,13882,a),flip(a)]. 13885 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(8619,a,13883,a)]. 13886 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(285,a,13778,a(flip),b,13883,a),flip(a)]. 13887 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(14(a,1),13883(a,1,2,1,2)),flip(a)]. 13888 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(13605,a,13886,a)]. 13889 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(14(a,1),13886(a,1,2,1,2)),flip(a)]. 13890 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13887(a,1),11408(a,1,1))]. 13891 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(13887(a,1),13737(a,1,2,2)),flip(a)]. 13892 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(13888(a,1),6653(a,1,1)),flip(a)]. 13893 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(6806(a,1),13888(a,1,2,2,1,2))]. 13894 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(13880(a,1),13876(a,1,2,1,1))]. 13895 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(5952(a,1),13894(a,1,2,1))]. 13897 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(13892(a,2),13604(a,1))]. 13898 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(23(a,2),13742(a,1,2,2,2)),flip(a)]. 13899 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(5785(a,1),13890(a,1,2,1,2))]. 13900 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(285,a,7894,a,b,13891,a),flip(a)]. 13901 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13851(a,1),13899(a,1,2,1,2))]. 13902 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(8641,a,13901,a)]. 13904 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(13902(a,2),4222(a,1))]. 13905 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(13889(a,1),13900(a,2,1))]. 13906 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(285,a,10587,a(flip),b,13905,a),flip(a)]. 13907 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(7940(a,1),13906(a,1,2))]. 13908 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(10219,a,13907,a)]. 13909 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(13904,a,13908,a),flip(a)]. 13910 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,10444,a(flip),b,13909,a),flip(a)]. 13911 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,8882,a,b,13910,a)]. 13912 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(13911(a,1),13760(a,1,1))]. 13913 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(13672(a,1),13912(a,1,1)),flip(a)]. 13914 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(13913(a,1),5644(a,1,2,1))]. 13916 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(66,a,5644,a(flip),b,13914,a),flip(a)]. 13917 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13893,a(flip),b,13916,a),flip(a)]. 13918 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(13897,a,13917,a)]. 13919 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13885,a(flip),b,13918,a)]. 13920 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(13(a,1),13919(a,1,2,2,1))]. 13921 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(285,a,7180,a(flip),b,13920,a),flip(a)]. 13922 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(285,a,13859,a(flip),b,13921,a),flip(a)]. 13923 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(13(a,1),13922(a,2,2,2,1))]. 13924 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(66,a,13783,a,b,13923,a)]. 13925 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,13814,a(flip),b,13924,a),flip(a)]. 13927 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3245(a,1),13925(a,1,2))]. 13928 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(13927(a,1),7399(a,1,1,2)),flip(a)]. 13929 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(285,a,7399,a(flip),b,13928,a),flip(a)]. 13930 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13929(a,1),6571(a,1,1,2))]. 13931 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13821(a,1),13930(a,1,1,2))]. 13932 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(78(a,1),13931(a,1,1,2,1,2))]. 13933 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5795(a,1),13932(a,1,1))]. 13934 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(66,a,30,a,b,13933,a)]. 13935 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5719(a,1),13934(a,1,1)),flip(a)]. 13936 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4254,a,13935,a)]. 13937 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(146,a,13936,a)]. 13938 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(13936(a,1),9082(a,1,2))]. 13940 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(66,a,13242,a(flip),b,13937,a),flip(a)]. 13942 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(13937(a,1),11884(a,1,2))]. 13944 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13940(a,1),473(a,1,1)),flip(a)]. 13945 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(12830,a,13942,a),flip(a)]. 13947 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13940(a,1),13942(a,1,2))]. 13948 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(13945(a,1),11872(a,1,2)),flip(a)]. 13949 K(x * L(y,z,u),y) = K(y * x,y). [hyper(285,a,12775,a(flip),b,13948,a),flip(a)]. 13953 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(66,a,10352,a,b,13949,a)]. 13956 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(15(a,1),13953(a,1,1)),flip(a)]. 13957 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(66,a,13794,a(flip),b,13956,a)]. 13959 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(10966,a,13957,a)]. 13963 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10658(a,1),13938(a,1))]. 13964 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(285,a,112,a(flip),b,13944,a),flip(a)]. 13965 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10040(a,1),13964(a,1,1,1)),flip(a)]. 13966 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13964(a,1),13473(a,1,1))]. 13968 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13966(a,1),12880(a,1))]. 13969 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(66,a,13556,a(flip),b,13947,a),flip(a)]. 13970 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(341(a,1),13969(a,1,2,3))]. 13971 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12865,a,13970,a)]. 13972 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13968,a,13971,a)]. 13973 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13553,a(flip),b,13971,a),flip(a)]. 13974 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(15(a,1),13972(a,1,2)),flip(a)]. 13975 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [hyper(124,a,13974,a(flip),b,11754,a),flip(a)]. 13976 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [hyper(124,a,13974,a(flip),b,11743,a),flip(a)]. 13977 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(66,a,10040,a(flip),b,13976,a),flip(a)]. 13978 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13973(a,1),13292(a,1,1))]. 13979 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(66,a,10644,a(flip),b,13978,a)]. 13980 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12940(a,1),13977(a,1,2,1)),flip(a)]. 13981 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(285,a,13975,a,b,13980,a),flip(a)]. 13983 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13981(a,1),13965(a,2,1,1))]. 13984 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(11064(a,1),13755(a,1,1)),flip(a)]. 13985 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(285,a,11974,a(flip),b,13984,a),flip(a)]. 13987 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(285,a,5130,a,b,13985,a),flip(a)]. 13988 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(11970(a,1),13987(a,1,1,1))]. 13989 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(66,a,12216,a,b,13988,a)]. 13990 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7860(a,1),13373(a,1,2,1,2))]. 13991 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((1 / y) * (y / x)),z). [para(5882(a,1),13691(a,2,1,1))]. 13992 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((y \ 1) * (y / x)),z). [hyper(285,a,6732,a(flip),b,13991,a),flip(a)]. 13993 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((y \ 1) * (x \ y)) \ 1,z). [hyper(285,a,6580,a(flip),b,13992,a),flip(a)]. 13994 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(285,a,6749,a(flip),b,13993,a),flip(a)]. 13995 K(x,K(x,x \ y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(5882(a,1),13994(a,1,2,1))]. 13996 K(x,K(x,x \ y) / ((((x \ y) * x) \ 1) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,7185,a(flip),b,13995,a)]. 13997 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(10114(a,1),13990(a,1,2,1,2))]. 13998 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7897(a,1),13997(a,1,2,1,2))]. 13999 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7954(a,1),13998(a,1,2,1,2))]. 14000 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5414(a,2),13999(a,1,2,1))]. 14001 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(66,a,5577,a,b,14000,a)]. 14002 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(10129(a,1),14001(a,1,1)),flip(a)]. 14003 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14002(a,2,2))]. 14004 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14003,a),flip(a)]. 14006 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),13105(a,1,1,1))]. 14007 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12039(a,1),14006(a,1,1))]. 14008 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6423,a,14007,a)]. 14010 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),14008(a,1,2))]. 14011 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),13989(a,1,2,1,1))]. 14012 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14011(a,1,2,1))]. 14013 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7908(a,1),14012(a,1,2,1))]. 14015 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),14013(a,1,2,2,1))]. 14016 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14015(a,1,2,2))]. 14018 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12024(a,1),14016(a,1,2))]. 14019 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(66,a,11966,a(flip),b,14018,a)]. 14020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(66,a,12034,a,b,14019,a)]. 14021 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12023,a(flip),b,14020,a)]. 14022 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12328,a(flip),b,14021,a),flip(a)]. 14023 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(66,a,11979,a(flip),b,14022,a)]. 14024 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(66,a,11088,a(flip),b,14023,a)]. 14025 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(14024(a,1),11962(a,1,1)),flip(a)]. 14026 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(66,a,11170,a(flip),b,14025,a),flip(a)]. 14027 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(11981(a,1),14026(a,1,1)),flip(a)]. 14029 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(14027(a,1),13983(a,2,1))]. 14030 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13974(a,1),14029(a,2,1,1))]. 14032 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(9261(a,1),14030(a,1,1,1))]. 14034 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13053(a,1),14032(a,1,1))]. 14035 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12851(a,1),14034(a,1,1)),flip(a)]. 14036 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(14035(a,1),468(a,1,2))]. 14037 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(13018,a,14036,a),flip(a)]. 14038 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12859(a,1),14037(a,2,2))]. 14040 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(285,a,12863,a(flip),b,14038,a),flip(a)]. 14042 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(55,a,14040,a)]. 14043 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(14042(a,1),12905(a,1,2))]. 14044 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12910(a,1),14043(a,1,1,2,1))]. 14045 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(480,a,14044,a),flip(a)]. 14047 R(a(x,y,x),z,u) = a(x,y,x). [hyper(37,a,12857,a(flip),b,14045,a),flip(a)]. 14048 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(66,a,470,a,b,14047,a)]. 14050 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(66,a,13972,a(flip),b,14047,a)]. 14051 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(66,a,13432,a(flip),b,14047,a),flip(a)]. 14052 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(14047(a,1),112(a,1,1)),flip(a)]. 14054 L(x,y,a(z,u,z)) = x. [para(14047(a,1),14042(a,1,3))]. 14056 L(x,y,a(z,u,z)) != w | x = w. [para(14054(a,1),53(a,2))]. 14057 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(14054(a,1),499(a,1,2))]. 14058 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(14054(a,1),443(a,1,2,1)),flip(a)]. 14061 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(14050(a,1),13203(a,1,1)),flip(a)]. 14062 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(14050(a,1),13979(a,1,2)),flip(a)]. 14063 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(13945(a,2),14061(a,2,1))]. 14066 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5795(a,1),14051(a,1,2)),flip(a)]. 14067 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),19(a,2,1)),flip(a)]. 14068 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12857(a,1),14052(a,1,1))]. 14069 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(285,a,11880,a(flip),b,14063,a),flip(a)]. 14071 L(x,y,L(x,z,u)) = L(x,y,x). [para(352(a,1),14069(a,1,3)),flip(a)]. 14072 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(14071(a,1),35(a,1,1)),flip(a)]. 14074 T(L(x,x \ y,x) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(14071(a,1),11251(a,1,1,1))]. 14077 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(14072(a,1),12891(a,1,1,2))]. 14078 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(285,a,12801,a(flip),b,14062,a),flip(a)]. 14080 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11426,a,14078,a),flip(a)]. 14082 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(66,a,13014,a(flip),b,14080,a)]. 14083 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(66,a,11679,a(flip),b,14082,a)]. 14087 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(66,a,11178,a(flip),b,14083,a)]. 14089 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(285,a,13775,a(flip),b,14087,a),flip(a)]. 14090 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(66,a,11547,a,b,14089,a)]. 14091 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(66,a,11548,a(flip),b,14089,a)]. 14093 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1166(a,1),14090(a,1,2,2))]. 14095 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(66,a,10612,a(flip),b,14091,a),flip(a)]. 14096 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(16(a,1),14095(a,1,2,2,2,1)),flip(a)]. 14097 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(14096(a,1),10223(a,1,2))]. 14098 T(x / T(y,x),L(y,z,u)) = y \ T(x,L(y,z,u)). [para(7646(a,1),14074(a,1,1))]. 14100 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(285,a,13778,a(flip),b,14093,a),flip(a)]. 14101 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(15(a,1),14100(a,1,2,2,2,1))]. 14102 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(13251,a,14101,a),flip(a)]. 14103 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12938(a,1),14048(a,1,1,1))]. 14105 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(27(a,2),14102(a,1,2,2,1))]. 14106 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(66,a,10487,a(flip),b,14105,a),flip(a)]. 14107 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(285,a,6638,a(flip),b,14106,a),flip(a)]. 14108 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(14107(a,1),11428(a,1,1,2)),flip(a)]. 14109 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(66,a,13488,a(flip),b,14066,a)]. 14110 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(112(a,1),14103(a,1,1))]. 14111 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(11543(a,1),14097(a,1,1))]. 14112 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(14052(a,1),14058(a,2,1))]. 14113 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(285,a,14057,a(flip),b,14112,a),flip(a)]. 14114 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(25(a,2),14113(a,2,2))]. 14115 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(14054(a,1),14114(a,1,2))]. 14116 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14067(a,1,2,1))]. 14117 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5392(a,1),14109(a,2,2))]. 14118 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12808,a,14117,a)]. 14119 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14116(a,1,2))]. 14120 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(770,a,14119,a)]. 14121 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(14056,a,14120,a),flip(a)]. 14123 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12799(a,1),14121(a,1,1))]. 14124 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12810(a,1),14121(a,1,1))]. 14125 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12796(a,1),14121(a,1,1))]. 14126 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(15(a,1),14123(a,1,1,1)),flip(a)]. 14127 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(8174(a,2),14125(a,2,1)),flip(a)]. 14128 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(7219(a,1),14126(a,1,1))]. 14129 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(7241(a,1),14127(a,2,1))]. 14130 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(285,a,14128,a(flip),b,14129,a),flip(a)]. 14131 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(115(a,1),14130(a,1,1,1,2))]. 14132 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(66,a,14124,a(flip),b,14131,a),flip(a)]. 14133 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4596(a,1),14132(a,1,1)),flip(a)]. 14134 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6092(a,1),14132(a,1,1))]. 14135 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(13035(a,2),14133(a,2,1)),flip(a)]. 14136 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(66,a,14132,a(flip),b,14134,a)]. 14137 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(66,a,14132,a(flip),b,14136,a),flip(a)]. 14138 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(66,a,14132,a(flip),b,14137,a)]. 14139 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6107(a,1),14135(a,2,1))]. 14140 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(285,a,14133,a(flip),b,14139,a),flip(a)]. 14141 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(13035(a,1),14140(a,1,1))]. 14142 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(285,a,14138,a(flip),b,14141,a),flip(a)]. 14143 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5830(a,1),13739(a,1,1))]. 14144 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(15(a,1),14143(a,1,2,2,1,2))]. 14146 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8749(a,1),14144(a,1,2))]. 14147 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(12907(a,1),12915(a,2,2,1,1))]. 14148 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(285,a,1535,a(flip),b,14147,a),flip(a)]. 14149 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1726(a,1),14148(a,2,2))]. 14150 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(820(a,1),14149(a,2,2,1))]. 14151 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),14150(a,2,2,1,2))]. 14152 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1535(a,1),14151(a,1,1))]. 14153 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(14115(a,2),14152(a,1,1,2))]. 14154 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(15(a,1),14153(a,1,1,2,1)),flip(a)]. 14155 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(14047(a,1),12811(a,1,1,1)),flip(a)]. 14156 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12946(a,1),14155(a,2,1))]. 14158 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(662(a,1),14156(a,2,1,2,1))]. 14159 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5157(a,1),14158(a,2,1))]. 14160 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(285,a,23,a,b,14159,a),flip(a)]. 14161 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(14047(a,1),14160(a,1,3))]. 14162 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(14056,a,14161,a),flip(a)]. 14165 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(15(a,1),14162(a,1,3,1)),flip(a)]. 14166 L(x,y / z,K(y,z)) = x. [hyper(7748,a,14165,a)]. 14167 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(14166(a,1),5651(a,1,2)),flip(a)]. 14168 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5452,a,14167,a)]. 14169 R(K(x,y),x \ y,z) = K(x,y). [hyper(9006,a,14168,a)]. 14170 R(K(x,x * y),y,z) = K(x,x * y). [para(14(a,1),14169(a,1,2))]. 14172 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(14170(a,1),12676(a,2,2))]. 14173 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(285,a,5130,a,b,14172,a),flip(a)]. 14175 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(66,a,4831,a(flip),b,14173,a)]. 14176 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(17(a,1),14175(a,1,2,1,2))]. 14177 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(66,a,10869,a,b,14176,a)]. 14178 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(285,a,5130,a(flip),b,14177,a)]. 14179 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(37,a,9480,a,b,14178,a)]. 14180 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(37,a,5130,a(flip),b,14178,a)]. 14181 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(66,a,10224,a,b,14179,a)]. 14182 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(66,a,10854,a(flip),b,14180,a)]. 14183 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(14180(a,1),8052(a,1,1,2))]. 14184 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(25(a,2),14182(a,1,2,1)),flip(a)]. 14185 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(14182(a,1),7399(a,1,1,2))]. 14186 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(7411,a,14185,a),flip(a)]. 14187 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(66,a,13827,a(flip),b,14186,a),flip(a)]. 14188 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(25(a,2),14186(a,1,1,1)),flip(a)]. 14189 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(3064(a,1),14186(a,2,1,2))]. 14190 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(15(a,1),14187(a,1,1,2,1)),flip(a)]. 14191 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(66,a,10393,a,b,14190,a)]. 14192 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(14191(a,1),13278(a,1,1))]. 14193 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(13779(a,1),14181(a,1,2))]. 14194 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(66,a,14111,a(flip),b,14193,a)]. 14195 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(66,a,11203,a(flip),b,14194,a),flip(a)]. 14196 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7995(a,1),14192(a,1,2))]. 14197 a(x,y / z,x) = a(x,z \ y,x). [hyper(12802,a,14196,a)]. 14198 a(x,(y \ z) \ z,x) = a(x,y,x). [para(87(a,1),14197(a,1,2)),flip(a)]. 14199 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(113(a,2),14197(a,1,2))]. 14200 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14197(a,1,2))]. 14201 a(x,T(y,z),x) = a(x,y,x). [para(4140(a,2),14198(a,1,2))]. 14202 a(x,y * K(z,y),x) = a(x,y,x). [para(5930(a,1),14198(a,1,2)),flip(a)]. 14203 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(13081(a,1),14198(a,1,2)),flip(a)]. 14204 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(285,a,13481,a,b,14201,a),flip(a)]. 14205 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14201(a,1),12812(a,1,1))]. 14206 L(a(x,y,x),y,z) = a(x,y,x). [hyper(66,a,14051,a(flip),b,14202,a)]. 14208 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14206(a,1),14118(a,1,1))]. 14209 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(66,a,14203,a(flip),b,14199,a)]. 14211 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(14209(a,2),12874(a,1,2,1)),flip(a)]. 14212 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(66,a,14184,a(flip),b,14195,a),flip(a)]. 14213 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(66,a,11463,a(flip),b,14212,a),flip(a)]. 14214 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(285,a,14197,a(flip),b,14208,a),flip(a)]. 14216 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(23(a,2),14214(a,2,2))]. 14217 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(453(a,1),14216(a,2,2))]. 14218 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8054,a,14183,a),flip(a)]. 14219 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(66,a,9394,a(flip),b,14218,a)]. 14220 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10877,a,14219,a)]. 14221 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14220(a,1),14146(a,1,2))]. 14222 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(16(a,1),14189(a,1,1,1)),flip(a)]. 14223 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(285,a,6690,a(flip),b,14222,a),flip(a)]. 14225 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(13284,a,14204,a)]. 14226 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(285,a,7681,a(flip),b,14225,a),flip(a)]. 14228 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8239(a,2),14226(a,2,1)),flip(a)]. 14229 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5785(a,2),14228(a,1,1,1))]. 14230 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(66,a,12176,a,b,14229,a)]. 14231 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(37,a,8481,a,b,14230,a)]. 14232 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(66,a,13788,a,b,14231,a)]. 14233 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5150(a,1),14232(a,1,1,2))]. 14234 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(15(a,1),14217(a,1,2))]. 14235 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(212(a,1),14234(a,2,2))]. 14236 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8215(a,1),14233(a,1,1))]. 14237 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5150(a,1),14236(a,2,2))]. 14239 R(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,8215,a(flip),b,14237,a),flip(a)]. 14241 R(K(x * y,x),y,z) = K(y * x,x). [para(5785(a,1),14239(a,1,1))]. 14242 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(66,a,1688,a,b,14241,a)]. 14243 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(19(a,2),14200(a,2,2))]. 14244 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(12900(a,2),14235(a,1,1,2,1))]. 14245 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8366(a,1),14221(a,1,2)),flip(a)]. 14246 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(285,a,5520,a(flip),b,14245,a),flip(a)]. 14247 L(x,y / z,x) = L(x,z \ y,x). [hyper(66,a,13818,a(flip),b,14246,a),flip(a)]. 14249 L(x,(y \ z) \ z,x) = L(x,y,x). [para(87(a,1),14247(a,1,2)),flip(a)]. 14250 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5379(a,2),14247(a,1,2))]. 14251 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14247(a,1,2))]. 14253 L(x,y * K(z,y),x) = L(x,y,x). [para(5930(a,1),14249(a,1,2)),flip(a)]. 14256 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5798(a,1),14253(a,1,2))]. 14258 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(66,a,14256,a(flip),b,14250,a),flip(a)]. 14261 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(19(a,2),14251(a,2,2))]. 14262 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7729(a,1),14242(a,1,1,1))]. 14263 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9695(a,1),14262(a,1,1,1))]. 14264 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(112(a,1),14263(a,1,1))]. 14265 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13173(a,1),14205(a,1,1))]. 14267 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13562(a,1),14265(a,1,1))]. 14268 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(14(a,1),14267(a,1,1,1))]. 14269 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(14(a,1),14268(a,1,1,3)),flip(a)]. 14270 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6404(a,1),14269(a,2,2))]. 14271 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(14(a,1),14270(a,2,2,2))]. 14272 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5316(a,1),14271(a,2,2))]. 14273 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(285,a,12799,a(flip),b,14272,a),flip(a)]. 14274 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6548,a,14273,a)]. 14275 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(14(a,1),14274(a,1,2))]. 14276 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(66,a,6688,a(flip),b,14275,a)]. 14277 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(10230,a,14276,a)]. 14279 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(15(a,1),14277(a,2,1))]. 14280 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(66,a,11375,a(flip),b,14279,a),flip(a)]. 14282 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(66,a,6694,a(flip),b,14280,a)]. 14283 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(66,a,7320,a(flip),b,14282,a)]. 14285 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(66,a,8378,a,b,14283,a)]. 14286 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(15(a,1),14283(a,1,1,2,1)),flip(a)]. 14288 K((x / y) \ z,x / y) = K(z * (x \ y),x / y). [para(17(a,1),14285(a,1,1,2,1)),flip(a)]. 14289 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14285(a,1),13738(a,1,1,1,2))]. 14290 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(285,a,12458,a,b,14286,a),flip(a)]. 14291 K((x / y) \ z,x / y) = K(z * (y / x),x / y). [hyper(285,a,12459,a,b,14288,a),flip(a)]. 14292 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K(u * (x / y),x \ y)) \ y. [para(14290(a,1),9409(a,2,1,2))]. 14293 K((x \ y) \ z,y / x) = K(z * (x / y),y / x). [hyper(66,a,7618,a(flip),b,14291,a)]. 14294 K(x / (y \ z),z / y) = K(x * (y / z),z / y). [hyper(66,a,8351,a,b,14293,a)]. 14295 1 / (((x / y) \ 1) \ K(z * (x / y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(14294(a,1),10325(a,1,2,2))]. 14296 1 / (T((x / y) \ 1,z * (x / y)) \ 1) = T((x / y) \ 1,(x \ y) \ z). [para(5716(a,1),14295(a,1,2))]. 14297 T((x / y) \ 1,(x \ y) \ z) = T((x / y) \ 1,z * (x / y)). [hyper(297,a,14296,a)]. 14299 ((x / y) * T((x / y) \ 1,z * (x / y))) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(14297(a,1),10263(a,1,1,2))]. 14300 K((x / y) \ 1,z * (x / y)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(5126(a,1),14299(a,1,1))]. 14301 K(x / (y \ z),(y / z) \ 1) = K(z / y,x * (y / z)) \ 1. [para(5830(a,1),14300(a,1,1)),flip(a)]. 14302 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = T(x \ y,u * (x / y)). [hyper(285,a,7461,a(flip),b,14292,a),flip(a)]. 14303 T(x \ y,z * (x / y)) = ((x \ y) \ z) \ z. [hyper(66,a,3637,a(flip),b,14302,a),flip(a)]. 14304 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z,u) * (x / y)). [hyper(285,a,13626,a,b,14303,a)]. 14305 ((((x \ y) \ z) \ z) * u) \ ((x \ y) * u) = K(z * (x / y),T(x \ y,u)). [para(14303(a,1),7435(a,1,1,1))]. 14306 K((x \ y) \ z,T(x \ y,u)) = K(z * (x / y),T(x \ y,u)). [hyper(66,a,7502,a(flip),b,14305,a)]. 14307 (x * K(y * (x / z),T(x \ z,u))) \ z = T(x \ z,T((x \ z) \ y,u)). [para(14306(a,1),7784(a,1,1,2))]. 14308 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z * (x / y),u)). [hyper(7785,a,14307,a),flip(a)]. 14309 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (x / y)). [hyper(66,a,14304,a(flip),b,14308,a),flip(a)]. 14310 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(271(a,1),14289(a,1,1,1))]. 14312 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8472(a,1),14310(a,1,1))]. 14313 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(115(a,1),14312(a,1,2,2,2))]. 14314 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9783(a,1),14313(a,1,2))]. 14315 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3604(a,1),14314(a,1,2))]. 14316 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(66,a,13610,a(flip),b,14315,a)]. 14317 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(66,a,10433,a(flip),b,14316,a)]. 14318 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(189(a,1),14317(a,1,2)),flip(a)]. 14319 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(66,a,12506,a,b,14318,a)]. 14322 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(66,a,7598,a(flip),b,14319,a)]. 14324 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(66,a,8381,a(flip),b,14322,a),flip(a)]. 14325 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(17(a,1),14322(a,1,2,2,2)),flip(a)]. 14326 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(285,a,12461,a(flip),b,14324,a),flip(a)]. 14328 K(x / y,z * (y / x)) = K(y \ x,y / (x / z)). [hyper(66,a,13757,a(flip),b,14325,a),flip(a)]. 14329 K(x \ y,z * (y \ x)) * (x \ y) = T(x \ y,z / (x \ y)). [para(14326(a,1),5266(a,1,1))]. 14330 K(x / y,z * (x \ y)) = K(y \ x,y / (x / z)). [hyper(66,a,12492,a(flip),b,14328,a)]. 14331 K(x / (y \ z),(y / z) \ 1) = K(y \ z,y / (z / x)) \ 1. [para(14328(a,1),14301(a,2,1))]. 14332 T(x \ y,z / (x \ y)) = T(x \ y,z * (y \ x)). [hyper(5259,a,14329,a),flip(a)]. 14333 T(x \ y,z * (y \ x)) = ((x \ y) \ z) \ z. [hyper(4167,a,14332,a),flip(a)]. 14334 T(x \ y,z * (x / y)) = T(x \ y,z * (y \ x)). [hyper(285,a,14303,a,b,14333,a)]. 14335 K(T(x \ y,z * (y \ x)),u) = K(x \ y,T(u,z)). [para(14333(a,2),7687(a,1,1))]. 14336 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14309,a,b,14334,a)]. 14337 (x * T(y \ z,u * (z \ y))) / T(x,y \ z) = T(y \ z,T(u * (y / z),x)). [para(14334(a,1),8359(a,1,1,2))]. 14338 K(x / (y \ z),(y / z) \ 1) = K(y / (z / x),y \ z) * 1. [hyper(285,a,5334,a(flip),b,14331,a),flip(a)]. 14339 K(x / (y \ z),(y / z) \ 1) = K((z / x) \ y,z / y) * 1. [para(7744(a,1),14338(a,2,1))]. 14340 K(x / (y \ z),z / y) = K((z / x) \ y,z / y). [hyper(5756,a,14339,a)]. 14341 K((x / y) \ z,x / z) = K(y * (z / x),x / z). [hyper(66,a,14294,a(flip),b,14340,a),flip(a)]. 14342 K((x / y) \ z,x / z) = K(y * (x \ z),x / z). [hyper(285,a,12459,a(flip),b,14341,a),flip(a)]. 14343 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z * (y \ x),u)). [hyper(8364,a,14337,a),flip(a)]. 14345 T(x \ y,T(z * (y \ x),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14336,a(flip),b,14343,a),flip(a)]. 14346 K(T(x \ y,T(z * (y \ x),u)),w) = K(x \ y,T(w,T(z,u))). [para(14345(a,2),14335(a,1,1))]. 14347 K(x \ y,T(z,T(u * (y \ x),w))) = K(x \ y,T(z,T(u,w))). [hyper(8426,a,14346,a)]. 14348 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(285,a,11103,a(flip),b,14108,a),flip(a)]. 14350 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(285,a,11108,a(flip),b,14348,a),flip(a)]. 14351 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(13168,a,14350,a)]. 14352 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(14351(a,1),11723(a,1,1,2)),flip(a)]. 14353 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(285,a,11723,a(flip),b,14352,a),flip(a)]. 14354 a(x,y,K(x * z,z)) = 1. [hyper(66,a,9105,a(flip),b,14353,a),flip(a)]. 14355 L(K(x * y,y),z,x) = K(x * y,y). [hyper(55,a,14354,a)]. 14356 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(14355(a,1),7707(a,2,1))]. 14357 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10145(a,1),14356(a,1,2,2))]. 14358 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7682(a,1),14357(a,1,2)),flip(a)]. 14359 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(303,a,14358,a),flip(a)]. 14360 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(66,a,12884,a(flip),b,14358,a),flip(a)]. 14361 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12861(a,1),14360(a,1,2)),flip(a)]. 14362 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(303,a,14361,a),flip(a)]. 14363 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(66,a,14068,a,b,14361,a)]. 14364 L(x,a(y,z,y),z) = x. [hyper(445,a,14363,a)]. 14365 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(14363(a,1),14110(a,1,1,1))]. 14366 L(x,K(y,z),z \ y) = x. [hyper(13513,a,14364,a)]. 14367 L(x,K(y,z),y / z) = x. [hyper(10026,a,14366,a)]. 14370 L(x,K(y * z,z),y) = x. [para(16(a,1),14367(a,1,3))]. 14371 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1176,a,14370,a),flip(a)]. 14372 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(14371(a,1),14264(a,1,1,1))]. 14373 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(15(a,1),14365(a,1,2,1))]. 14374 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(14362(a,1),14373(a,1,1,1)),flip(a)]. 14375 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(285,a,25,a,b,14374,a),flip(a)]. 14376 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(14(a,1),14375(a,1,2,2)),flip(a)]. 14377 a(x,R(y,z,u),x) = a(x,y,x). [hyper(66,a,14047,a(flip),b,14376,a),flip(a)]. 14379 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(66,a,14243,a(flip),b,14377,a),flip(a)]. 14380 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(14377(a,1),13072(a,1,1)),flip(a)]. 14381 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(14377(a,1),14211(a,2,2,1))]. 14383 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5379(a,1),14379(a,1,2,2))]. 14384 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(285,a,13072,a(flip),b,14380,a),flip(a)]. 14385 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(14384(a,1),12188(a,1,2))]. 14386 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(285,a,12874,a(flip),b,14381,a),flip(a)]. 14388 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(66,a,14258,a(flip),b,14386,a)]. 14390 L(x,R(y,z,u),x) = L(x,y,x). [para(14(a,1),14388(a,2,2))]. 14393 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(66,a,14261,a(flip),b,14390,a),flip(a)]. 14395 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(727(a,1),14385(a,1,2)),flip(a)]. 14397 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(14395(a,1),5123(a,2,2)),flip(a)]. 14398 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(66,a,12149,a(flip),b,14397,a)]. 14399 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(14359(a,1),14372(a,1,1,1)),flip(a)]. 14400 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(285,a,25,a,b,14399,a),flip(a)]. 14401 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5786,a,14400,a)]. 14402 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5785(a,1),14401(a,2,1))]. 14403 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(110(a,1),14402(a,1,1,2))]. 14404 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(3061(a,1),14403(a,1,1,2,2,1))]. 14405 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(13418(a,1),14383(a,1,2)),flip(a)]. 14406 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(285,a,14379,a(flip),b,14405,a),flip(a)]. 14407 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(5404(a,1),14406(a,1,2))]. 14408 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(66,a,14244,a,b,14407,a)]. 14409 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(66,a,14188,a(flip),b,14404,a),flip(a)]. 14410 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(285,a,6714,a(flip),b,14409,a),flip(a)]. 14411 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(14223(a,1),14410(a,1,1))]. 14412 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14411(a,1),13090(a,1,2,2))]. 14415 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(66,a,7989,a(flip),b,14412,a),flip(a)]. 14416 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14415(a,1),7531(a,1,1,2))]. 14417 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(7783,a,14416,a),flip(a)]. 14418 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7761(a,1),14417(a,1,1))]. 14419 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(285,a,8988,a,b,14418,a)]. 14420 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(12481(a,1),14419(a,2,1))]. 14421 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3352(a,1),14420(a,1,1))]. 14424 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(6424(a,1),14421(a,1,2))]. 14425 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(125,a,14424,a),flip(a)]. 14426 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6428(a,1),14425(a,1,1)),flip(a)]. 14427 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(13084(a,1),14425(a,1,1))]. 14428 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14426(a,1),14427(a,1,1)),flip(a)]. 14429 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(66,a,14213,a(flip),b,14428,a),flip(a)]. 14430 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4413(a,1),14429(a,1,1))]. 14433 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14430(a,1),9790(a,1,1,1,2))]. 14438 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12033,a,14433,a)]. 14439 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(79(a,1),14438(a,1,2))]. 14440 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(133,a,14439,a),flip(a)]. 14443 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(285,a,13729,a(flip),b,14440,a),flip(a)]. 14446 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(14440(a,1),14010(a,1,1,2))]. 14449 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14443(a,1),6184(a,1,2,1))]. 14450 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5454,a,14449,a),flip(a)]. 14452 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(66,a,12013,a(flip),b,14446,a),flip(a)]. 14453 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(285,a,12267,a(flip),b,14452,a),flip(a)]. 14454 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(285,a,13392,a(flip),b,14453,a),flip(a)]. 14455 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6423,a,14454,a)]. 14457 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5334(a,1),14455(a,1,2))]. 14458 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(14457(a,1),5310(a,1,1))]. 14459 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(13408(a,1),14458(a,1,2))]. 14460 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(125,a,14459,a)]. 14461 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7907(a,1),14459(a,1,2,1))]. 14462 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5452,a,14460,a)]. 14463 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6090(a,1),14460(a,1,2))]. 14465 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9018(a,1),14460(a,1,2))]. 14466 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(14460(a,1),10949(a,2,2))]. 14467 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(14460(a,1),11784(a,1,1,2))]. 14468 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(14460(a,1),11994(a,2,2))]. 14469 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(14460(a,1),12293(a,1,3))]. 14471 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(14469(a,1),265(a,1,2))]. 14472 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(14462(a,1),10031(a,1,1)),flip(a)]. 14473 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(14465(a,1),5522(a,1,2)),flip(a)]. 14474 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(14465(a,1),14398(a,1,1))]. 14475 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(66,a,11593,a,b,14466,a)]. 14476 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(66,a,8501,a,b,14466,a)]. 14477 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(14460(a,1),14467(a,1,2))]. 14479 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(122,a,117,a(flip),b,14477,a)]. 14480 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7721,a,14473,a)]. 14481 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(14480(a,2),46(a,1))]. 14482 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(285,a,14132,a(flip),b,14463,a),flip(a)]. 14483 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(66,a,12051,a(flip),b,14463,a)]. 14484 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(10157(a,1),14461(a,1,2,2))]. 14485 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12025(a,1),14484(a,1,2))]. 14486 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(14(a,1),14475(a,1,2,1,2,1))]. 14488 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6682(a,1),14486(a,1,2))]. 14489 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6529(a,2),14488(a,1,1))]. 14490 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(285,a,14137,a(flip),b,14483,a),flip(a)]. 14491 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(14482(a,1),14490(a,1,1)),flip(a)]. 14492 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6547(a,1),14489(a,1,2))]. 14493 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14440(a,1),14492(a,1,2,2))]. 14494 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8829,a,14493,a)]. 14495 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(66,a,9832,a,b,14494,a)]. 14496 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3186(a,1),14495(a,1,1))]. 14497 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(14481,a,14496,a)]. 14498 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(285,a,14476,a(flip),b,14472,a),flip(a)]. 14499 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(14471,a,14498,a)]. 14500 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5360(a,1),14499(a,1,2))]. 14501 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7991(a,1),14500(a,1,1,1)),flip(a)]. 14502 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(225,a,14501,a),flip(a)]. 14503 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(285,a,14474,a(flip),b,14502,a)]. 14504 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(168(a,1),14503(a,2,1,2))]. 14505 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(66,a,4413,a,b,14504,a)]. 14506 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(17(a,1),14504(a,1,1))]. 14507 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(66,a,9676,a(flip),b,14506,a)]. 14508 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(66,a,13824,a(flip),b,14507,a)]. 14509 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5323(a,1),14508(a,2,1))]. 14510 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(285,a,14126,a(flip),b,14509,a),flip(a)]. 14511 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(66,a,9232,a(flip),b,14510,a)]. 14512 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(66,a,6675,a(flip),b,14510,a)]. 14513 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(14504(a,1),14505(a,1,1))]. 14514 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14491,a,b,14513,a)]. 14515 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14142,a(flip),b,14514,a)]. 14516 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(14154(a,1),14511(a,1,1))]. 14517 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(14(a,1),14516(a,1,2))]. 14518 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5223,a,14517,a),flip(a)]. 14520 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5075(a,1),14512(a,1,1))]. 14521 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(14(a,1),14520(a,1,2,2))]. 14523 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14393(a,1),14521(a,1,2))]. 14524 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(66,a,5738,a(flip),b,14523,a)]. 14525 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(14518(a,2),14524(a,1,1))]. 14526 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(13540,a,14525,a)]. 14527 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) * K(x * (L(z,u,w) \ y),y \ L(z,u,w))) / y,z). [para(6420(a,1),12467(a,2,1,1))]. 14528 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) / y) * K(x * (L(z,u,w) \ y),L(z,u,w) / y),z). [para(6422(a,1),14527(a,2,1))]. 14529 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x * (L(z,u,w) \ y))). [hyper(285,a,8027,a(flip),b,14528,a),flip(a)]. 14530 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x)). [hyper(285,a,11565,a(flip),b,14529,a),flip(a)]. 14531 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(y \ L(z,u,w),T(z,x)). [hyper(285,a,7745,a(flip),b,14530,a),flip(a)]. 14532 K(K(x * (y / L(z,u,w)),(y / L(z,u,w)) \ 1) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5696(a,2),14531(a,1,1))]. 14533 K(K(x * (y / L(z,u,w)),L(z,u,w) / y) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5708(a,1),14532(a,1,1,1))]. 14534 K(K(x * (L(y,z,u) \ w),L(y,z,u) / w) / (w / L(y,z,u)),y) = K(w \ L(y,z,u),T(y,x)). [para(12459(a,1),14533(a,1,1,1))]. 14535 K((x / K(y * (L(z,u,w) \ x),L(z,u,w) / x)) \ L(z,u,w),z) = K(x \ L(z,u,w),T(z,y)). [hyper(66,a,13455,a(flip),b,14534,a)]. 14536 K((x * K(L(y,z,u) / x,w * (L(y,z,u) \ x))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(7396(a,1),14535(a,1,1,1))]. 14537 K((x * K(x \ L(y,z,u),x / (L(y,z,u) / w))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(14330(a,1),14536(a,1,1,1,2))]. 14538 K((x \ L(y,z,u)) * K(x / (L(y,z,u) / w),x \ L(y,z,u)),y) = K(x \ L(y,z,u),T(y,w)). [para(6453(a,1),14537(a,1,1))]. 14539 K((x \ L(y,z,u)) * K((L(y,z,u) / w) \ x,L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(7744(a,1),14538(a,1,1,2))]. 14540 K((x \ L(y,z,u)) * K(w * (L(y,z,u) \ x),L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(14342(a,1),14539(a,1,1,2))]. 14541 K(x \ L(y,z,u),T(y,T(w * (L(y,z,u) \ x),x))) = K(x \ L(y,z,u),T(y,w)). [hyper(11011,a,14540,a)]. 14542 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,14347,a(flip),b,14541,a)]. 14543 K(x \ L(y,z,u),T(y,w * x)) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,10521,a(flip),b,14542,a)]. 14544 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,12701,a,b,14543,a)]. 14545 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * L(T(z,x * y),u,w)) = K(y \ L(z,u,w),T(z,x)). [para(15(a,1),14544(a,1,2,2))]. 14546 K((x * L(T(y,x * z),u,w)) / (x * z),y) = K(z \ L(y,u,w),T(y,x)). [hyper(10994,a,14545,a)]. 14548 K(((x * y) / x) \ L(z,u,w),z) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,13458,a(flip),b,14546,a)]. 14549 K(L(x,y,z) * (u \ K(u,w)),x) = K(u \ L(x,y,z),T(x,w)). [hyper(66,a,13446,a(flip),b,14548,a)]. 14550 K(x \ L(y,z,u),T(y,w)) = K(y * (x \ K(x,w)),y). [hyper(66,a,13953,a(flip),b,14549,a),flip(a)]. 14552 K(x \ L(y,z,u),T(y,w)) = K(x \ y,T(y,w)). [hyper(285,a,12110,a(flip),b,14550,a),flip(a)]. 14553 K((x / y) \ z,T(z,y)) = K(x \ (L(z,u,w) * y),z). [hyper(13465,a,14552,a),flip(a)]. 14555 K(x \ (L(y,z,u) * w),y) = K(y * (x \ w),y). [hyper(66,a,13793,a(flip),b,14553,a),flip(a)]. 14556 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [hyper(11095,a,14555,a)]. 14558 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(66,a,9347,a(flip),b,14556,a)]. 14559 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(285,a,13800,a(flip),b,14558,a),flip(a)]. 14560 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(66,a,13854,a(flip),b,14559,a)]. 14561 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(23(a,2),14560(a,2,1))]. 14562 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(13963,a,14561,a),flip(a)]. 14563 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(66,a,8727,a(flip),b,14562,a)]. 14564 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(7671,a,14563,a),flip(a)]. 14565 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(285,a,13730,a(flip),b,14563,a),flip(a)]. 14566 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(14563(a,1),13050(a,1,2,2))]. 14567 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(14563(a,1),13895(a,1,2,1,2,1))]. 14568 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(16(a,1),14565(a,1,1,2)),flip(a)]. 14569 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(13835,a,14568,a)]. 14570 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(285,a,9097,a(flip),b,14569,a),flip(a)]. 14573 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11406(a,1),14566(a,1,2))]. 14574 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(5576,a,14573,a)]. 14575 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(452(a,1),14564(a,1,2)),flip(a)]. 14576 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(14575(a,1),2732(a,1,2,2,2)),flip(a)]. 14577 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5152(a,1),14567(a,1,2,1))]. 14578 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(66,a,9335,a(flip),b,14577,a),flip(a)]. 14579 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(66,a,14563,a(flip),b,14578,a),flip(a)]. 14580 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(14578(a,1),11108(a,1,2))]. 14582 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(122,a,14579,a(flip),b,14450,a)]. 14583 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(452(a,1),14579(a,1,1)),flip(a)]. 14584 K(x,y) * (x \ K(z,L(x,u,w))) = T(x,L(z,u,w)) \ K(x,y). [para(14579(a,1),5848(a,1,2,2))]. 14585 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(11133,a,14580,a)]. 14586 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(14585(a,1),11159(a,2,2))]. 14587 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14582(a,1),9638(a,1,2,1))]. 14588 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(452(a,1),14583(a,1,2))]. 14589 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8035(a,1),14587(a,1,2,1,1))]. 14590 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(15(a,1),14588(a,1,2)),flip(a)]. 14591 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(66,a,7194,a(flip),b,14589,a)]. 14592 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(15(a,1),14590(a,1,1)),flip(a)]. 14593 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1283(a,1),14591(a,1,2,1,1))]. 14594 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(285,a,7181,a,b,14592,a),flip(a)]. 14595 T(x,y) / T(x / T(y,x),L(y,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(4120(a,1),14586(a,1,2,1))]. 14596 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(124,a,14593,a(flip),b,10505,a(flip)),flip(a)]. 14597 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = (K(x,y) \ 1) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(14584(a,1),11292(a,1,2,2)),flip(a)]. 14598 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(66,a,6691,a(flip),b,14594,a),flip(a)]. 14599 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(90(a,1),14598(a,1,2,1)),flip(a)]. 14600 T(x,y) / (y \ T(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(14098(a,1),14595(a,1,2))]. 14601 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(7147(a,1),14576(a,2,2,2,2))]. 14602 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2515(a,1),14601(a,2,2))]. 14603 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(90(a,1),14602(a,1,2,2,2,2,1,1,2))]. 14604 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(7662(a,1),14603(a,1,2,2,2)),flip(a)]. 14605 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2515(a,1),14604(a,2,2))]. 14606 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(15(a,1),14605(a,1,2,2)),flip(a)]. 14607 K(x,y \ ((y \ 1) \ z)) = y \ ((1 / y) \ K(x,z)). [hyper(128,a,14606,a),flip(a)]. 14608 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(14606(a,1),7399(a,1,1)),flip(a)]. 14609 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(66,a,14599,a(flip),b,14608,a)]. 14610 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14597(a,2,1))]. 14611 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (K(y,x) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14610(a,2,2,1))]. 14612 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (T(x,L(z,u,w)) \ 1). [para(10258(a,1),14611(a,2,2))]. 14613 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) * T(x,L(z,u,w)). [hyper(285,a,4398,a(flip),b,14612,a),flip(a)]. 14615 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(y,x) \ 1) = K(x,y) * T(y,L(z,u,w)). [para(5344(a,1),14613(a,1,1))]. 14616 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(x,y)) = K(x,y) * T(y,L(z,u,w)). [para(5320(a,1),14615(a,1,2,3))]. 14617 K(x,y) / (y \ K(z,L(y,u,w))) = K(x,y) * T(y,L(z,u,w)). [para(5333(a,1),14616(a,1,2))]. 14620 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (a(z,u,z) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(13505(a,1),12797(a,2,1,1))]. 14621 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (K(z,u) * y) \ (K(z,u) * (y * x)). [para(12856(a,1),14620(a,2,1))]. 14624 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = L(x,y,K(z,u)). [hyper(285,a,23,a,b,14621,a),flip(a)]. 14625 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(13505(a,1),14624(a,1,3))]. 14626 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(15(a,1),14625(a,1,1,3,2))]. 14629 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [hyper(14056,a,14626,a),flip(a)]. 14631 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5339(a,1),14629(a,1,3)),flip(a)]. 14632 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(285,a,14165,a(flip),b,14631,a),flip(a)]. 14633 L(x,y \ 1,K(y,z)) = x. [hyper(13167,a,14632,a),flip(a)]. 14634 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(14633(a,1),5632(a,1,2)),flip(a)]. 14635 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = (x \ K(x,y)) * z. [hyper(66,a,6146,a,b,14634,a)]. 14636 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ K(x \ y,y \ x)) * y,z). [para(14635(a,1),12354(a,1,1)),flip(a)]. 14637 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(285,a,6733,a(flip),b,14636,a),flip(a)]. 14639 K(x,(T((x \ y) \ 1,x \ y) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7187,a(flip),b,14637,a)]. 14640 K(x,(((x \ y) \ 1) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7178,a(flip),b,14639,a)]. 14641 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = K(((x \ y) \ 1) * y,z). [hyper(66,a,11838,a(flip),b,14640,a)]. 14643 ((L(x,y \ 1,y) / y) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4722(a,1),6178(a,1,1,1))]. 14644 ((L(x,y \ 1,y) / y) \ (x * K(y,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(3341(a,1),14643(a,1,1,2,2))]. 14645 ((L(x,y \ 1,y) / y) \ (x * K(y,y \ x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4664(a,1),14644(a,1,1,2,2))]. 14646 ((L(x,y \ 1,y) / y) \ (y * (x / y))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5435(a,1),14645(a,1,1,2))]. 14647 (L(x,y \ 1,y) / y) \ (y * (x / y)) = ((y \ 1) * x) \ x. [hyper(38,a,11381,a,b,14646,a),flip(a)]. 14649 (x * (y / x)) / (((x \ 1) * y) \ y) = L(y,x \ 1,x) / x. [hyper(185,a,14647,a)]. 14651 L(x,y \ 1,y) / y = x / R(y,y \ 1,x). [hyper(66,a,7601,a(flip),b,14649,a),flip(a)]. 14652 (x / R(y,y \ 1,x)) * y = L(x,y \ 1,y). [hyper(136,a,14651,a)]. 14653 L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x). [para(14652(a,1),1617(a,1,1))]. 14654 x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x). [hyper(66,a,1245,a(flip),b,14653,a)]. 14655 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (L(x,y \ 1,y) \ y)). [para(14654(a,1),10860(a,1,2,1,1))]. 14656 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ L(x,y \ 1,y)). [hyper(285,a,13468,a(flip),b,14655,a),flip(a)]. 14657 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ x). [hyper(285,a,11835,a(flip),b,14656,a),flip(a)]. 14659 K(x,y / (((z \ 1) * x) \ 1)) = K(x,(z / y) \ x). [hyper(66,a,12730,a(flip),b,14657,a)]. 14660 K(x,y / ((z * x) \ 1)) = K(x,((z \ 1) / y) \ x). [hyper(66,a,7201,a(flip),b,14659,a)]. 14661 R(K(x,((y \ 1) / (z / u)) \ x),z / u,u) = K(x,z / (((y * x) \ 1) * u)). [para(14660(a,1),6101(a,1,1))]. 14662 K(x,y / (((z * x) \ 1) * u)) = K(x,y / ((x \ (z \ 1)) * u)). [hyper(66,a,10861,a(flip),b,14661,a),flip(a)]. 14663 K(x,K(x,x \ y) / ((x \ ((x \ y) \ 1)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,13996,a(flip),b,14662,a),flip(a)]. 14664 K(x,((x \ ((x \ y) \ 1)) * (z \ y)) \ 1) = (1 / y) * (K(x,z) * y). [hyper(66,a,8157,a(flip),b,14663,a)]. 14666 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = (1 / y) * (K(x,z) * y). [hyper(66,a,13260,a(flip),b,14664,a)]. 14667 K(((x \ y) \ 1) * y,z) = (1 / y) * (K(x,z) * y). [hyper(66,a,14641,a(flip),b,14666,a)]. 14668 K(((x \ (y * x)) \ 1) * (y * x),z) = K((((x * y) \ 1) * y) \ 1,z). [hyper(285,a,13858,a(flip),b,14667,a),flip(a)]. 14669 K((((x * y) \ 1) * y) \ 1,z) = K((y \ 1) * (x * y),z). [para(6993(a,1),14668(a,1,1)),flip(a)]. 14670 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * ((y \ x) * y),z). [hyper(66,a,13868,a(flip),b,14669,a)]. 14671 K(((x \ 1) * y) \ 1,T(z,y)) = K(T((y \ 1) * x,y),z). [para(2179(a,1),14670(a,2,1))]. 14672 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * x,T(z,y)). [hyper(285,a,7761,a(flip),b,14671,a),flip(a)]. 14673 K((x \ 1) * y,T(T(z,y),x)) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,10450,a(flip),b,14672,a),flip(a)]. 14674 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(10965,a,14673,a),flip(a)]. 14676 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(66,a,6707,a(flip),b,14674,a),flip(a)]. 14677 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(14674(a,1),6907(a,2,1))]. 14678 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(66,a,6689,a(flip),b,14676,a),flip(a)]. 14679 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(14678(a,1),6971(a,1,1))]. 14680 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(15(a,1),14677(a,2,1,1))]. 14681 (1 / (x \ K(y,z))) \ y = x \ T(y,z). [hyper(39,a,172,a,b,14680,a),flip(a)]. 14682 K(x,y) / (z \ K(x,u)) = T(x,y) / (z \ T(x,u)). [para(14681(a,1),14680(a,1,2)),flip(a)]. 14683 K(x,y) / (y \ K(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [hyper(285,a,14600,a(flip),b,14682,a),flip(a)]. 14684 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6709(a,1),14679(a,1,1))]. 14685 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(180,a,14684,a)]. 14687 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(90(a,1),14685(a,1,1,2))]. 14688 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14687(a,2),7522(a,2,1))]. 14689 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(16(a,1),14688(a,1,2,1,1)),flip(a)]. 14690 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(66,a,14609,a,b,14689,a)]. 14691 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [hyper(124,a,14690,a(flip),b,14607,a(flip)),flip(a)]. 14692 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(17(a,1),14691(a,1,2,2)),flip(a)]. 14693 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(66,a,14596,a,b,14692,a)]. 14694 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(87(a,1),14693(a,1,1)),flip(a)]. 14696 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14694(a,2),7801(a,2,2)),flip(a)]. 14697 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [hyper(66,a,14617,a(flip),b,14683,a)]. 14698 x * a(y,z,K(x \ T(u,x),x)) = x * a(y,z,K(u,x)). [hyper(66,a,14574,a(flip),b,14697,a),flip(a)]. 14699 x * a(y,z,K(x \ u,x)) = x * a(y,z,K(u,x)). [para(4558(a,1),14698(a,1,2,3))]. 14700 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(259,a,14699,a),flip(a)]. 14702 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(14(a,1),14700(a,1,3,1)),flip(a)]. 14703 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6484(a,1),14700(a,1,3))]. 14704 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(13616(a,2),14700(a,1,3))]. 14705 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(14702(a,2),11359(a,1,1))]. 14706 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11360,a,14705,a)]. 14707 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(66,a,14703,a,b,14706,a)]. 14708 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(14570(a,1),14706(a,1,3)),flip(a)]. 14709 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(66,a,14707,a(flip),b,14708,a),flip(a)]. 14710 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(285,a,7801,a(flip),b,14696,a),flip(a)]. 14711 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(30(a,2),14710(a,1,2,1,2,2))]. 14712 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(30(a,2),14711(a,1,2,1,2,2,1))]. 14713 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(66,a,10359,a(flip),b,14712,a)]. 14715 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(90(a,1),14713(a,1,2))]. 14716 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(66,a,11681,a,b,14715,a)]. 14719 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(66,a,11492,a(flip),b,14716,a),flip(a)]. 14721 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14719(a,1),10729(a,1,1))]. 14722 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11830(a,1),14721(a,1,1))]. 14724 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(78(a,1),14722(a,1,1,2))]. 14725 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5514(a,1),14724(a,1,2))]. 14726 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(12134,a,14725,a)]. 14727 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2229(a,1),14726(a,1,2))]. 14728 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(11873(a,1),14727(a,1,2))]. 14729 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(128,a,14728,a)]. 14730 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14729(a,1),14077(a,1,1)),flip(a)]. 14731 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(121,a,14730,a,b,12372,a(flip))]. 14733 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [hyper(124,a,14731,a(flip),b,12777,a)]. 14734 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(285,a,13936,a(flip),b,14733,a),flip(a)]. 14735 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(13945(a,1),14734(a,1,2))]. 14736 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14735(a,1),441(a,1,2,2))]. 14738 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(103(a,1),14736(a,1,2))]. 14739 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12844,a,14738,a),flip(a)]. 14740 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13572,a,14739,a),flip(a)]. 14742 L(a(x,y,x),z,u) = a(x,y,x). [para(17(a,1),14740(a,1,2))]. 14751 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(66,a,14408,a(flip),b,14742,a),flip(a)]. 14752 a(x,L(y,z,u),x) = a(x,y,x). [hyper(66,a,14216,a(flip),b,14742,a)]. 14757 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(124,a,14752,a(flip),b,12777,a),flip(a)]. 14758 R(x,L(y,z,u),x) = R(x,y,x). [hyper(285,a,12778,a(flip),b,14757,a),flip(a)]. 14759 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),12180(a,1,2,1))]. 14761 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14751(a,1),12814(a,1,1)),flip(a)]. 14762 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(285,a,12814,a(flip),b,14761,a),flip(a)]. 14763 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),14759(a,1,2,2,1))]. 14765 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4182(a,2),14763(a,1,2))]. 14767 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4250(a,1),14765(a,1,2,2))]. 14768 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13726(a,1),14767(a,1,2))]. 14769 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(726(a,1),14768(a,1,2)),flip(a)]. 14770 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(66,a,9803,a(flip),b,14769,a)]. 14771 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(122,a,14770,a(flip),b,5130,a(flip))]. 14772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(66,a,11854,a(flip),b,14771,a),flip(a)]. 14773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(285,a,14580,a(flip),b,14772,a),flip(a)]. 14774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(17(a,1),14773(a,1,1))]. 14775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(66,a,10872,a(flip),b,14774,a)]. 14776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(13959(a,1),14775(a,2,3))]. 14777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(285,a,14700,a(flip),b,14776,a),flip(a)]. 14779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(66,a,13780,a(flip),b,14777,a)]. 14780 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(14777(a,1),14709(a,1,3)),flip(a)]. 14781 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(66,a,6675,a(flip),b,14779,a)]. 14782 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(14709(a,1),14780(a,2,3))]. 14783 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10691(a,1),14782(a,1,3))]. 14784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(66,a,14704,a(flip),b,14783,a)]. 14785 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14784(a,1),11127(a,1,2))]. 14786 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11702(a,1),14785(a,1,2)),flip(a)]. 14787 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(285,a,13,a(flip),b,14786,a),flip(a)]. 14789 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14787(a,1),9935(a,1,2,2)),flip(a)]. 14790 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(285,a,9935,a(flip),b,14789,a),flip(a)]. 14791 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(124,a,14790,a(flip),b,5125,a(flip)),flip(a)]. 14794 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(285,a,5130,a,b,14791,a),flip(a)]. 14795 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5075(a,1),14781(a,1,1))]. 14796 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(14(a,1),14795(a,1,2,2))]. 14798 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14762(a,1),14796(a,1,2))]. 14799 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(66,a,5738,a(flip),b,14798,a)]. 14800 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(66,a,9220,a(flip),b,14799,a)]. 14801 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14794(a,1),14800(a,1,2,1))]. 14802 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5476,a,14801,a)]. 14803 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),9941(a,1,2,1,2,2,2))]. 14804 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14803(a,1,2,1,2,2))]. 14805 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14804(a,1,2,1))]. 14806 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10424(a,1),14805(a,1,2,1,2))]. 14807 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7814(a,1),14806(a,1,2,1,2))]. 14809 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10126(a,1),14807(a,1,2,1))]. 14810 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),14809(a,1,2,2,1,2,1,2,2))]. 14811 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14810(a,1,2,2,1,2,1,2))]. 14812 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7860(a,1),14811(a,1,2,2,1,2))]. 14813 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9949(a,1),14812(a,1,2,2,1,2,2))]. 14814 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7789(a,1),14813(a,1,2,2,1,2,2))]. 14816 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(x,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10114(a,1),14814(a,1,2,2,1,2))]. 14817 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14816(a,1,2,2,1,2))]. 14818 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5414(a,2),14817(a,1,2,2,1))]. 14819 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(12518(a,2),14818(a,1,2))]. 14820 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,12519,a(flip),b,14819,a)]. 14821 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14820(a,1,2)),flip(a)]. 14822 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14821,a),flip(a)]. 14823 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1080(a,1),14822(a,1,1)),flip(a)]. 14824 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(66,a,14004,a,b,14823,a)]. 14825 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1080(a,1),14824(a,1,1))]. 14826 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14825(a,1),10667(a,1,2))]. 14827 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13330,a,14826,a),flip(a)]. 14828 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(285,a,7884,a,b,14827,a),flip(a)]. 14830 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(66,a,13486,a(flip),b,14828,a)]. 14831 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(285,a,7881,a,b,14830,a),flip(a)]. 14833 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(66,a,13487,a,b,14831,a)]. 14834 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(66,a,13898,a,b,14833,a)]. 14836 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(285,a,11571,a(flip),b,14834,a),flip(a)]. 14837 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(13318,a,14836,a)]. 14838 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14836(a,1),13318(a,1))]. 14839 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,7878,a,b,14837,a)]. 14840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(66,a,12269,a,b,14839,a)]. 14841 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(13375,a,14840,a)]. 14842 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * R(K(y,z),u,w)) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(27(a,2),11174(a,1,1)),flip(a)]. 14843 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(14440(a,1),14842(a,2,1,2,2))]. 14844 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ v5. [para(11042(a,1),14843(a,2,2))]. 14845 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [hyper(285,a,5119,a,b,14844,a),flip(a)]. 14846 K(K(x,y) * R(K(y,z),u,w),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(10947(a,1),14845(a,1,1,2))]. 14848 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(11042(a,1),14846(a,1,2))]. 14849 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(14460(a,1),14848(a,1,1)),flip(a)]. 14851 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(66,a,12009,a(flip),b,14849,a)]. 14852 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(14851(a,1),12044(a,1,1,1))]. 14853 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(2257(a,1),14852(a,1,1)),flip(a)]. 14854 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(285,a,8817,a(flip),b,14853,a),flip(a)]. 14855 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7860(a,1),14854(a,1,2,1,1))]. 14856 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(10155(a,1),14855(a,1,2,1))]. 14857 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5190(a,2),14856(a,1,2))]. 14858 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(66,a,12254,a,b,14857,a)]. 14859 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7889(a,1),14858(a,1,1))]. 14860 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(66,a,11953,a(flip),b,14859,a)]. 14861 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(66,a,14468,a(flip),b,14860,a),flip(a)]. 14862 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(37,a,5130,a(flip),b,14861,a),flip(a)]. 14863 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(66,a,14851,a,b,14862,a)]. 14864 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(14863(a,1),14485(a,1,2))]. 14865 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(125,a,14864,a),flip(a)]. 14866 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(285,a,14862,a,b,14865,a),flip(a)]. 14867 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7881(a,1),14865(a,1,1))]. 14868 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7881(a,1),14866(a,1,1))]. 14869 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14497(a,2),14866(a,2,1)),flip(a)]. 14870 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(14518(a,1),14867(a,2,2))]. 14871 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(66,a,14868,a,b,14869,a)]. 14872 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(66,a,14871,a(flip),b,14870,a),flip(a)]. 14873 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(66,a,10261,a,b,14872,a)]. 14874 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7884(a,2),14873(a,2,1))]. 14875 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(13364,a,14874,a)]. 14876 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(66,a,10277,a(flip),b,14875,a)]. 14877 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7908(a,1),14876(a,2,1))]. 14879 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10156(a,1),14877(a,2,1))]. 14880 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(13329,a,14879,a)]. 14883 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(66,a,13286,a(flip),b,14880,a)]. 14885 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,14841,a(flip),b,14883,a),flip(a)]. 14886 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(11539(a,1),14885(a,1,1)),flip(a)]. 14887 K(x,K(y * z,a(y,z,u))) = 1. [hyper(285,a,13359,a(flip),b,14886,a),flip(a)]. 14888 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14838,a,14887,a)]. 14891 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14888(a,1),7948(a,1,1)),flip(a)]. 14892 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(285,a,12,a(flip),b,14891,a),flip(a)]. 14893 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14892(a,1),7978(a,1,1)),flip(a)]. 14894 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7726,a,14893,a)]. 14895 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(10978,a,14894,a)]. 14896 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(66,a,13102,a,b,14895,a)]. 14897 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(14518(a,2),14896(a,1,1))]. 14898 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14491,a,b,14897,a)]. 14899 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14515,a(flip),b,14898,a)]. 14901 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14899(a,1),14526(a,1,2))]. 14902 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(66,a,13541,a(flip),b,14901,a)]. 14903 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5476,a,14902,a)]. 14904 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(285,a,14899,a(flip),b,14903,a),flip(a)]. 14905 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(285,a,14497,a(flip),b,14903,a),flip(a)]. 14906 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(66,a,14802,a(flip),b,14904,a)]. 14907 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(14906(a,1),11137(a,2,1))]. 14908 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(66,a,14802,a(flip),b,14905,a),flip(a)]. 14909 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14908(a,1),14479(a,1,1,2))]. 14910 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(7352,a,14907,a),flip(a)]. 14911 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(11727,a,14909,a),flip(a)]. 14915 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(66,a,14908,a(flip),b,14911,a),flip(a)]. 14918 a(x,y,K(z,u)) = K(a(u,y,x),z). [hyper(285,a,14910,a(flip),b,14915,a),flip(a)]. 14919 K(a(x,y,z),u) = K(a(u,y,x),z). [hyper(66,a,14910,a(flip),b,14918,a)]. 14920 $F # answer("Ka (4213)"). [resolve(14919,a,77,a)]. ============================== end of proof ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 6 at 2024.75 (+ 97.16) seconds: "Ka (3241)". % Length of proof is 12385. % Level of proof is 674. % Maximum clause weight is 513.000 (73 w/o degradation). % Given clauses 13410 (19.896 givens/level). 1 a(x,y,z) = 1 -> L(z,y,x) = z # label("Compat 1") # label(non_clause). [assumption]. 2 L(x,y,z) = x -> a(z,y,x) = 1 # label("Compat 2") # label(non_clause). [assumption]. 3 T(x,y) = x -> T(y,x) = y # label("Compat 3") # label(non_clause). [assumption]. 4 T(x,y) = x -> K(x,y) = 1 # label("Compat 4") # label(non_clause). [assumption]. 5 K(x,y) = 1 -> T(x,y) = x # label("Compat 5") # label(non_clause). [assumption]. 10 K(a(x,y,z),u) = K(a(z,y,u),x) # label("Ka (3241)") # label(non_clause) # label(goal). [goal]. 12 1 * x = x. [assumption]. 13 x * 1 = x. [assumption]. 14 x \ (x * y) = y. [assumption]. 15 x * (x \ y) = y. [assumption]. 16 (x * y) / y = x. [assumption]. 17 (x / y) * y = x. [assumption]. 18 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 19 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(18),flip(a)]. 20 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 21 K(x,y) = (y * x) \ (x * y). [copy(20),flip(a)]. 22 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 23 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(22),flip(a)]. 24 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 25 R(x,y,z) = ((x * y) * z) / (y * z). [copy(24),flip(a)]. 26 x \ (y * x) = T(y,x). [assumption]. 27 T(x,y) = y \ (x * y). [copy(26),flip(a)]. 28 T(T(x,y),z) = T(T(x,z),y). [assumption]. 29 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 30 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(29),flip(a)]. 31 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 32 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(31),flip(a)]. 33 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 34 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(33),flip(a)]. 35 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 36 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 37 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 38 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 39 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [assumption]. 40 x / y != z | u / y != z | x = u # label("/-Cancellation 2"). [assumption]. 41 x \ y != z | x \ u != z | y = u # label("\-Cancellation 1"). [assumption]. 42 x \ y != z | u \ y != z | x = u # label("\-Cancellation 2"). [assumption]. 43 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 44 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 45 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 46 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 47 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 48 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 49 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 50 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 51 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 52 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 53 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 54 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 55 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 56 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 57 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 58 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 59 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 60 x != y | x * z = y * z # label("Aux 1"). [assumption]. 61 x != y | z * x = z * y # label("Aux 2"). [assumption]. 62 x != y | x / z = y / z # label("Aux 3"). [assumption]. 63 x != y | z / x = z / y # label("Aux 4"). [assumption]. 64 x != y | x \ z = y \ z # label("Aux 5"). [assumption]. 65 x != y | z \ x = z \ y # label("Aux 6"). [assumption]. 66 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 74 K(a(c19,c18,c20),c17) != K(a(c17,c18,c19),c20) # label("Ka (3241)") # answer("Ka (3241)"). [deny(10)]. 75 K(a(c17,c18,c19),c20) != K(a(c19,c18,c20),c17) # answer("Ka (3241)"). [copy(74),flip(a)]. 78 1 \ x = x. [para(12(a,1),14(a,1,2))]. 79 x \ x = 1. [para(13(a,1),14(a,1,2))]. 80 x \ (x * (y \ (y * z))) = z. [para(14(a,2),14(a,1))]. 81 (x * (x \ 1)) * y = y. [para(15(a,2),12(a,1,1))]. 82 x * (y * (y \ 1)) = x. [para(15(a,2),13(a,1,2))]. 83 x \ (y * (y \ (x * z))) = z. [para(15(a,2),14(a,1,2))]. 84 x * (y * (y \ (x \ z))) = z. [para(15(a,2),15(a,1,2))]. 85 x / x = 1. [para(12(a,1),16(a,1,1))]. 86 x / 1 = x. [para(13(a,1),16(a,1,1))]. 87 x / (y \ x) = y. [para(15(a,1),16(a,1,1))]. 88 ((1 / x) * x) * y = y. [para(17(a,2),12(a,1,1))]. 89 x * ((1 / y) * y) = x. [para(17(a,2),13(a,1,2))]. 90 (x / y) \ x = y. [para(17(a,1),14(a,1,2))]. 91 (x \ (x * (y / z))) * z = y. [para(14(a,2),17(a,1,1))]. 92 ((x * (x \ y)) / z) * z = y. [para(17(a,2),15(a,1))]. 93 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(19(a,2),15(a,1,2))]. 94 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(15(a,1),19(a,2,2,1)),flip(a)]. 95 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(17(a,1),19(a,2,2,1)),flip(a)]. 96 (x * y) * K(y,x) = y * x. [para(21(a,2),15(a,1,2))]. 97 x \ ((y \ x) * y) = K(y \ x,y). [para(15(a,1),21(a,2,1)),flip(a)]. 98 ((x \ y) * x) \ y = K(x,x \ y). [para(15(a,1),21(a,2,2)),flip(a)]. 99 x \ (y * (x / y)) = K(y,x / y). [para(17(a,1),21(a,2,1)),flip(a)]. 100 (x * (y / x)) \ y = K(y / x,x). [para(17(a,1),21(a,2,2)),flip(a)]. 101 x \ (1 * (x * y)) = L(y,x,1). [para(12(a,1),23(a,2,1)),flip(a)]. 102 (x * y) \ (x * y) = L(1,y,x). [para(13(a,1),23(a,2,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(23(a,2),15(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(15(a,1),23(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(15(a,1),23(a,2,2,2))]. 106 x \ ((x / y) * (y * z)) = L(z,y,x / y). [para(17(a,1),23(a,2,1)),flip(a)]. 107 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(17(a,1),23(a,2,2,2))]. 108 (x * y) / (x * y) = R(1,x,y). [para(12(a,1),25(a,2,1,1)),flip(a)]. 109 ((x * 1) * y) / y = R(x,1,y). [para(12(a,1),25(a,2,2)),flip(a)]. 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(15(a,1),25(a,2,1,1))]. 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(15(a,1),25(a,2,1))]. 112 R(x,y,z) * (y * z) = (x * y) * z. [para(25(a,2),17(a,1,1))]. 113 R(x / y,y,z) = (x * z) / (y * z). [para(17(a,1),25(a,2,1,1))]. 114 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(17(a,1),25(a,2,2)),flip(a)]. 115 T(x,x) = x. [para(27(a,2),14(a,1))]. 116 x * T(y,x) = y * x. [para(27(a,2),15(a,1,2))]. 117 T(x,x \ y) = (x \ y) \ y. [para(15(a,1),27(a,2,2))]. 118 T(x / y,y) = y \ x. [para(17(a,1),27(a,2,2))]. 119 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(32(a,2),28(a,1,1)),flip(a)]. 120 x != y | 1 * z != y | x = z. [para(12(a,1),37(a,1))]. 121 1 * x != y | z != y | x = z. [para(12(a,1),37(b,1))]. 122 x != y | z * u != y | z \ x = u. [para(15(a,1),37(a,1))]. 123 x != y | z * u != y | x / u = z. [para(17(a,1),38(a,1))]. 124 x != y | z \ u != y | z * x = u. [para(14(a,1),41(a,1))]. 125 1 * x != y | x = y. [para(12(a,1),46(a,2))]. 126 x * y != x | 1 = y. [para(13(a,1),46(a,1)),flip(a)]. 128 x * y != z | x \ z = y. [para(15(a,1),46(a,1)),flip(a)]. 129 x * (x \ (y * z)) != y * u | z = u. [para(15(a,2),46(a,1))]. 130 (x / y) * z != x | y = z. [para(17(a,1),46(a,1)),flip(a)]. 132 x * 1 != y | y = x. [para(13(a,1),47(a,1)),flip(a)]. 133 x * 1 != y | x = y. [para(13(a,1),47(a,2))]. 134 x * (y \ z) != z | x = y. [para(15(a,1),47(a,2))]. 135 x * y != z | z / y = x. [para(17(a,1),47(a,1)),flip(a)]. 136 x / y != z | z * y = x. [para(16(a,1),49(a,1)),flip(a)]. 138 x \ y != z | x * z = y. [para(14(a,1),50(a,1)),flip(a)]. 140 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(23(a,2),51(a,1)),flip(a)]. 142 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(28(a,1),52(a,1))]. 143 T(x,y) != L(T(z,y),u,w) | L(z,u,w) = x. [para(30(a,2),52(a,1)),flip(a)]. 144 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(32(a,2),52(a,1)),flip(a)]. 146 R(L(x,y,z),u,w) != L(v5,y,z) | R(x,u,w) = v5. [para(34(a,2),53(a,1))]. 147 L(L(x,y,z),u,w) != L(v5,y,z) | L(x,u,w) = v5. [para(35(a,1),53(a,1))]. 148 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(32(a,1),54(a,1))]. 149 R(x,y,z) != L(R(u,y,z),w,v5) | L(u,w,v5) = x. [para(34(a,1),54(a,1)),flip(a)]. 150 ((x / y) * y) * z = x * z. [hyper(60,a,17,a)]. 151 (x * (x \ y)) * z = y * z. [hyper(60,a,15,a)]. 152 x * (y * (y \ z)) = x * z. [hyper(61,a,15,a)]. 153 ((x / y) * y) / z = x / z. [hyper(62,a,17,a)]. 154 (x * (x \ y)) \ z = y \ z. [hyper(64,a,15,a)]. 155 (x * y) / y = (x / z) * z. [hyper(66,a,17,a,b,16,a(flip)),flip(a)]. 156 (x / y) * y = z * (z \ x). [hyper(66,a,17,a,b,15,a(flip))]. 157 (x / y) * y = x * 1. [hyper(66,a,17,a,b,13,a(flip))]. 158 x \ (x * y) = z * (z \ y). [hyper(66,a,15,a,b,14,a(flip)),flip(a)]. 159 x * (x \ y) = y * 1. [hyper(66,a,15,a,b,13,a(flip))]. 160 1 \ (x * 1) = x. [hyper(66,a,78,a,b,13,a)]. 161 (x * (x \ 1)) \ y = y. [para(15(a,2),78(a,1,1))]. 162 ((1 / x) * x) \ y = y. [para(17(a,2),78(a,1,1))]. 163 1 \ x != y | y = x. [para(78(a,1),50(a,1)),flip(a)]. 165 K(x,x) = 1. [hyper(66,a,21,a,b,79,a)]. 166 x / ((1 / y) * y) = x. [para(17(a,2),86(a,1,2))]. 167 x / 1 != y | y = x. [para(86(a,1),49(a,1)),flip(a)]. 168 T(x,R(x,y,z)) = x. [hyper(45,a,32,a,b,115,a(flip))]. 169 T(x,L(x,y,z)) = x. [hyper(44,a,30,a,b,115,a(flip))]. 170 T(x,T(x,y)) = x. [hyper(43,a,28,a,b,115,a(flip))]. 171 T(T(x,y),x) = T(x,y). [para(115(a,1),28(a,1,1)),flip(a)]. 172 x / (y \ x) = z / (y \ z). [hyper(66,a,87,a,b,87,a(flip))]. 173 (x * y) / y = z / (x \ z). [hyper(66,a,87,a,b,16,a(flip)),flip(a)]. 174 x / (y \ x) = z * (z \ y). [hyper(66,a,87,a,b,15,a(flip))]. 175 (x / (y \ x)) * z = y * z. [hyper(60,a,87,a)]. 176 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(39,a,25,a(flip),b,87,a),flip(a)]. 177 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(19(a,2),87(a,1,2))]. 178 (x * (y * z)) / L(z,y,x) = x * y. [para(23(a,2),87(a,1,2))]. 179 (x * y) / T(x,y) = y. [para(27(a,2),87(a,1,2))]. 180 x / y != z | z \ x = y. [para(87(a,1),48(a,1)),flip(a)]. 181 x / (y / ((z \ x) \ y)) = z. [para(87(a,2),87(a,1,2))]. 182 ((x / y) \ x) * z = y * z. [hyper(60,a,90,a)]. 183 x * ((y / (x \ z)) \ y) = z. [hyper(41,a,14,a,b,90,a(flip))]. 184 ((x / (y / z)) \ x) \ y = z. [hyper(39,a,87,a,b,90,a(flip))]. 185 x \ y != z | y / z = x. [para(90(a,1),51(a,1)),flip(a)]. 186 T(x,1) = x. [hyper(66,a,27,a,b,160,a)]. 187 K(x,1) = 1. [hyper(58,a,186,a)]. 188 T(1,x) = 1. [hyper(57,a,186,a)]. 189 T(x,y \ y) = x. [para(79(a,2),186(a,1,2))]. 191 T(x,T(T(x,y),z)) = x. [hyper(43,a,28,a,b,170,a(flip))]. 192 T(x,y \ y) != z | x = z. [para(189(a,1),52(a,2))]. 193 ((1 / x) * x) * y != z | y = z. [para(17(a,2),125(a,1,1))]. 194 K(x,1) * y != z | y = z. [para(187(a,2),125(a,1,1))]. 195 x * (y * (y \ 1)) != z | z = x. [para(15(a,2),132(a,1,2))]. 196 x / (y * (y \ 1)) != z | z = x. [para(15(a,2),167(a,1,2))]. 197 T(x,R(T(x,y),z,u)) = x. [hyper(43,a,28,a,b,168,a(flip))]. 198 T(x,L(L(x,y,z),u,w)) = x. [hyper(44,a,30,a,b,169,a(flip))]. 199 T(T(x,y),L(x,z,u)) = T(x,y). [para(169(a,1),28(a,1,1)),flip(a)]. 200 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(81(a,1),25(a,2,1))]. 202 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(82(a,1),19(a,2,1)),flip(a)]. 203 L(x \ 1,x,y) = (y * x) \ y. [para(82(a,1),23(a,2,2))]. 204 ((1 / x) * (x * y)) \ y = a(1 / x,x,y). [para(88(a,1),19(a,2,2)),flip(a)]. 205 R(1 / x,x,y) = y / (x * y). [para(88(a,1),25(a,2,1))]. 206 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(89(a,1),19(a,2,1)),flip(a)]. 207 (x \ y) * T(x,x \ y) = y. [hyper(66,a,116,a,b,15,a)]. 208 T((x * y) / x,x) = y. [hyper(37,a,17,a(flip),b,116,a),flip(a)]. 209 (x * T(y,x)) / x = y. [hyper(38,a,17,a,b,116,a(flip))]. 210 x \ (y * T(x,y)) = y. [hyper(37,a,15,a,b,116,a(flip))]. 211 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(116(a,1),19(a,2,1,2)),flip(a)]. 212 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(116(a,1),19(a,2,2,1)),flip(a)]. 213 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(116(a,1),19(a,2,2)),flip(a)]. 214 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(116(a,1),21(a,2,1)),flip(a)]. 215 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(116(a,1),23(a,2,1)),flip(a)]. 216 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(116(a,1),23(a,2,2,2)),flip(a)]. 217 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(116(a,1),25(a,2,1,1)),flip(a)]. 218 (x * (y * z)) / (z * T(x,y * z)) = R(y,z,T(x,y * z)). [para(116(a,1),25(a,2,1)),flip(a)]. 219 ((x * y) * T(z,y)) / (z * y) = R(x,y,T(z,y)). [para(116(a,1),25(a,2,2)),flip(a)]. 220 T(x,y) \ (x * y) = T(y,T(x,y)). [para(116(a,1),27(a,2,2)),flip(a)]. 221 x * T(T(y,x),z) = T(y,z) * x. [para(28(a,1),116(a,1,2))]. 222 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(30(a,2),116(a,1,2))]. 223 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(32(a,2),116(a,1,2))]. 224 x * y != z | y * u != z | T(x,y) = u. [para(116(a,1),37(a,1))]. 225 x * y != z * x | T(z,x) = y. [para(116(a,1),46(a,1)),flip(a)]. 226 x * T(y,x) != y * z | z = x. [para(116(a,2),46(a,2)),flip(a)]. 227 x * T(y,x) != z * x | y = z. [para(116(a,2),47(a,1))]. 228 x * T(y,x) != z * x | z = y. [para(116(a,2),47(a,2)),flip(a)]. 229 T(x,y) * x = x * T(x,y). [para(170(a,1),116(a,1,2))]. 230 T(x / (x / y),x / y) = y. [hyper(66,a,118,a,b,90,a)]. 231 T(T(x / y,z),y) = T(y \ x,z). [para(118(a,1),28(a,1,1)),flip(a)]. 232 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(118(a,1),30(a,1,1)),flip(a)]. 233 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(118(a,1),32(a,1,1)),flip(a)]. 235 x * 1 != y * z | x / z = y. [para(157(a,1),47(a,1))]. 236 (x / y) * y != z | z = x. [para(157(a,2),132(a,1))]. 237 (x / y) * y != z | x = z. [para(157(a,2),133(a,1))]. 238 x \ (y * (y \ x)) = 1. [hyper(37,a,15,a,b,159,a(flip))]. 239 x * 1 != y * z | y \ x = z. [para(159(a,1),46(a,1))]. 240 x * (x \ y) != z | z = y. [para(159(a,2),132(a,1))]. 241 x * (x \ y) != z | y = z. [para(159(a,2),133(a,1))]. 242 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(66,a,23,a,b,161,a),flip(a)]. 243 K(x \ 1,x) = (x \ 1) * x. [hyper(66,a,21,a,b,161,a)]. 244 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(66,a,23,a,b,162,a),flip(a)]. 245 K(x,1 / x) = x * (1 / x). [hyper(66,a,21,a,b,162,a)]. 246 ((1 / (x * y)) * x) * y = a(1 / (x * y),x,y). [hyper(66,a,19,a,b,162,a),flip(a)]. 247 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(66,a,25,a,b,166,a),flip(a)]. 248 K(T(x,y),x) = 1. [hyper(58,a,171,a)]. 249 x / T(y,y \ x) = y \ x. [para(15(a,1),179(a,1,1))]. 250 (x * y) / z != y | T(x,y) = z. [para(179(a,1),48(a,1)),flip(a)]. 251 (x * y) / T(y,T(x,y)) = T(x,y). [para(116(a,1),179(a,1,1))]. 252 (x * T(T(y,x),z)) / x = T(y,z). [hyper(43,a,28,a,b,208,a),flip(a)]. 253 T(T((x * y) / x,z),x) = T(y,z). [para(208(a,1),28(a,1,1)),flip(a)]. 254 T(x,y) != z | (y * z) / y = x. [para(208(a,1),52(a,1)),flip(a)]. 255 T((x * y) / x,y) = (x * y) / x. [para(208(a,1),170(a,1,2))]. 256 K(x,(y * x) / y) = 1. [para(208(a,1),248(a,1,1))]. 257 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(30(a,2),210(a,1,2,2))]. 258 T(x,(y * x) / y) = x. [hyper(59,a,256,a)]. 259 x * y != x * z | z = y. [para(16(a,1),130(a,1,1))]. 260 x * L(y,z,u) != u * (z * y) | u * z = x. [para(23(a,2),134(a,1,2)),flip(b)]. 262 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(25(a,2),236(a,1,1)),flip(b)]. 263 x * T(y,x) != z | y * x = z. [para(179(a,1),236(a,1,1)),flip(b)]. 264 x * y != z | y * T(x,y) = z. [para(209(a,1),236(a,1,1)),flip(b)]. 265 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(23(a,2),240(a,1,2)),flip(b)]. 267 x \ ((x * y) * L(z,y,x)) = y * z. [para(23(a,2),83(a,1,2,2))]. 268 L(x \ (y \ z),x,y) = (y * x) \ z. [para(84(a,1),23(a,2,2))]. 269 ((x * (x \ y)) / z) \ y = z. [hyper(128,a,92,a)]. 271 x * K(y \ x,y) = (y \ x) * y. [para(15(a,1),96(a,1,1))]. 272 x * K(y,x / y) = y * (x / y). [para(17(a,1),96(a,1,1))]. 273 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(96(a,1),23(a,2,2,2)),flip(a)]. 274 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(96(a,1),25(a,2,1)),flip(a)]. 275 (x * y) * z != y * x | K(y,x) = z. [para(96(a,1),46(a,1)),flip(a)]. 278 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(65,a,117,a)]. 279 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(63,a,117,a)]. 280 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(61,a,117,a)]. 281 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(60,a,117,a)]. 282 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(117(a,1),28(a,1,1)),flip(a)]. 284 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(117(a,2),117(a,1,2))]. 285 x != y | z != y | x = z. [para(12(a,1),120(b,1))]. 286 ((x / y) * y) * (x \ z) = z. [hyper(285,a,15,a(flip),b,150,a),flip(a)]. 287 x * y != z * y | (z / u) * u = x. [para(150(a,1),47(a,2)),flip(b)]. 288 (x / (y * (y \ z))) * z = x. [hyper(237,a,152,a),flip(a)]. 289 (((x / y) * y) / z) \ x = z. [hyper(39,a,87,a(flip),b,153,a),flip(a)]. 291 x / y != (z / u) * u | z * y = x. [para(155(a,1),49(a,1)),flip(a)]. 293 ((x / y) * y) * z != u | x * z = u. [para(155(a,1),236(a,1,1)),flip(b)]. 294 (x * y) / y != z | z = x. [para(155(a,2),236(a,1))]. 295 (x * y) / y != z | x = z. [para(155(a,2),237(a,1))]. 296 x / x != y | 1 = y. [para(12(a,1),294(a,1,1)),flip(b)]. 297 x / (y \ x) != z | z = y. [para(15(a,1),294(a,1,1))]. 298 (x * T(y,x)) / x != z | z = y. [para(116(a,2),294(a,1,1))]. 299 (x / y) * y != z * u | z \ x = u. [para(156(a,2),46(a,1))]. 300 x * (x \ y) != z * u | y / u = z. [para(156(a,1),47(a,1))]. 302 x \ y != z * (z \ u) | x * u = y. [para(158(a,1),50(a,1)),flip(a)]. 303 x * (y * (y \ z)) != u | x * z = u. [para(158(a,1),240(a,1,2)),flip(b)]. 304 x \ (x * y) != z | z = y. [para(158(a,2),240(a,1))]. 305 x \ (x * y) != z | y = z. [para(158(a,2),241(a,1))]. 306 x \ x != y | 1 = y. [para(13(a,1),304(a,1,2)),flip(b)]. 307 (x / y) \ x != z | z = y. [para(17(a,1),304(a,1,2))]. 308 x \ (y * x) != z | T(y,x) = z. [para(116(a,1),304(a,1,2)),flip(b)]. 310 (x * y) \ (y * x) != z | K(y,x) = z. [para(96(a,1),304(a,1,2)),flip(b)]. 311 (x / y) \ x != z | y = z. [para(17(a,1),305(a,1,2))]. 312 x \ ((y / (x \ y)) * z) = z. [hyper(39,a,16,a,b,172,a),flip(a)]. 315 (x / (y \ x)) * z != u | y * z = u. [para(173(a,1),236(a,1,1)),flip(b)]. 316 (x * (x \ y)) \ z != u | y \ z = u. [para(174(a,1),307(a,1,1)),flip(b)]. 317 ((x / y) \ x) * (y \ z) = z. [hyper(285,a,15,a(flip),b,182,a),flip(a)]. 318 ((x / y) \ x) * z != u | y \ u = z. [para(182(a,2),128(a,1))]. 319 (x / y) * ((z / y) \ z) = x. [para(90(a,1),183(a,1,2,1,2))]. 320 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(207(a,1),23(a,2,2,2))]. 322 (x \ y) * z != y | T(x,x \ y) = z. [para(207(a,1),46(a,1)),flip(a)]. 324 T(x / (x / y),(z / (x / y)) \ z) = y. [para(90(a,2),230(a,1,2))]. 325 x * T(x \ 1,x) = K(x \ 1,x). [hyper(285,a,116,a,b,243,a)]. 326 (x \ 1) \ K(x \ 1,x) = x. [hyper(128,a,243,a(flip))]. 327 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(243(a,2),19(a,2,1,2)),flip(a)]. 328 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(243(a,2),25(a,2,1,1)),flip(a)]. 329 x \ K(x \ 1,x) = T(x \ 1,x). [para(243(a,2),27(a,2,2)),flip(a)]. 331 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(245(a,2),23(a,2,1)),flip(a)]. 332 x / R(T(y,R(y,z,u) \ x),z,u) = R(y,z,u) \ x. [para(32(a,2),249(a,1,2))]. 334 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(286(a,1),25(a,2,1))]. 335 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(25(a,2),288(a,1,1))]. 336 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(249(a,1),317(a,1,1,1))]. 337 x * ((y / z) \ y) != u | u / z = x. [para(319(a,1),47(a,1)),flip(a)]. 338 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(249(a,1),319(a,1,2,1))]. 339 (x \ 1) * x != y | K(x \ 1,x) = y. [para(326(a,1),240(a,1,2)),flip(b)]. 340 x \ (x * y) = L(y,x,1). [para(12(a,1),101(a,1,2))]. 341 L(x,y,1) = x. [hyper(305,a,340,a),flip(a)]. 342 L(x,y,1) = z \ (z * x). [hyper(285,a,14,a,b,341,a),flip(a)]. 344 L(x,y,1) != z \ (z * u) | u = x. [para(342(a,1),53(a,1)),flip(a)]. 345 L(1,x,y) = 1. [hyper(306,a,102,a),flip(a)]. 348 R(1,x,y) = 1. [hyper(296,a,108,a),flip(a)]. 351 (x * y) / y = R(x,1,y). [para(13(a,1),109(a,1,1,1))]. 352 R(x,1,y) = x. [hyper(295,a,351,a),flip(a)]. 355 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(196,a,25,a(flip)),flip(a)]. 356 L(x \ 1,x,1 / x) = 1 / x. [hyper(285,a,162,a(flip),b,203,a),flip(a)]. 357 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(285,a,154,a(flip),b,203,a),flip(a)]. 358 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(64,a,203,a)]. 359 x / L(y \ 1,y,x) = x * y. [hyper(185,a,203,a(flip))]. 360 (x * y) * L(y \ 1,y,x) = x. [hyper(138,a,203,a(flip))]. 361 L(x \ 1,x,y / x) = y \ (y / x). [para(17(a,1),203(a,2,1))]. 362 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(203(a,1),30(a,2,1)),flip(a)]. 363 R((x * y) \ x,z,u) = L(R(y \ 1,z,u),y,x). [para(203(a,1),34(a,1,1))]. 364 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(203(a,1),35(a,1,1)),flip(a)]. 365 R(1 / x,x,y) * z = (y / (x * y)) * z. [hyper(60,a,205,a)]. 366 R(1 / x,x,x \ 1) = x \ 1. [hyper(196,a,205,a(flip))]. 367 R(1 / x,x,y) \ y = x * y. [hyper(180,a,205,a(flip))]. 368 R(1 / x,x,x \ y) = (x \ y) / y. [para(15(a,1),205(a,2,2))]. 369 R(1 / (x / y),x / y,y) = y / x. [para(17(a,1),205(a,2,2))]. 370 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(205(a,1),32(a,2,1)),flip(a)]. 371 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(205(a,1),36(a,1,1)),flip(a)]. 375 x \ (x * (y * z)) != z * u | T(y,z) = u. [para(14(a,2),225(a,2)),flip(a)]. 376 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(28(a,1),227(a,1,2))]. 379 (x / y) * y != z * u | x / u = z. [para(157(a,2),235(a,1))]. 380 x * (y * (y \ 1)) != z * u | z \ x = u. [para(15(a,2),239(a,1,2))]. 381 x * (x \ y) != z * u | z \ y = u. [para(159(a,2),239(a,1))]. 382 (x * y) / z != K(x,y) | T(y * x,K(x,y)) = z. [para(96(a,1),250(a,1,1))]. 383 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(28(a,1),263(a,1,2))]. 384 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(30(a,2),263(a,1,2))]. 385 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(32(a,2),263(a,1,2))]. 386 T(x,y) \ (x * y) != z | T(y,T(x,y)) = z. [para(116(a,1),308(a,1,2))]. 388 x / y != x * z | L(z \ 1,z,x) = y. [para(359(a,1),48(a,1)),flip(a)]. 389 x / L(y,1 / y,x) = x * (1 / y). [para(90(a,1),359(a,1,2,1))]. 390 (x * y) * z != x | L(y \ 1,y,x) = z. [para(359(a,1),130(a,1,1))]. 391 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(359(a,1),307(a,1,1)),flip(b)]. 392 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(359(a,1),317(a,1,1,1))]. 393 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(360(a,1),23(a,2,2,2))]. 394 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(87(a,1),367(a,1,1,1))]. 395 x / (y * x) != z | R(1 / y,y,x) = z. [para(367(a,1),297(a,1,2)),flip(b)]. 396 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(14(a,1),97(a,2,1)),flip(a)]. 397 K(x \ 1,x) != y | (x \ 1) * x = y. [para(97(a,1),163(a,1)),flip(b)]. 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(116(a,2),97(a,1,2))]. 399 x * K(y \ x,y) != z | (y \ x) * y = z. [para(97(a,1),240(a,1,2)),flip(b)]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(243(a,2),98(a,1,1))]. 402 K(x,1 / x) != y | x * (1 / x) = y. [para(99(a,1),163(a,1)),flip(b)]. 403 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(122,a,23,a,b,162,a(flip))]. 404 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(122,a,23,a,b,161,a(flip))]. 406 L(x \ 1,x,y) / ((y * x) \ y) = 1. [hyper(123,a,203,a,b,12,a)]. 407 R(x,1 / y,y) / y = x * (1 / y). [hyper(123,a,25,a,b,166,a(flip))]. 408 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(123,a,203,a(flip),b,12,a)]. 409 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(124,a,117,a,b,90,a)]. 410 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [hyper(124,a,35,a,b,23,a(flip))]. 411 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [hyper(124,a,34,a,b,23,a(flip))]. 412 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(124,a,23,a,b,154,a(flip))]. 413 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [hyper(124,a,30,a(flip),b,23,a(flip))]. 414 x * T(x \ (y * x),z) = T(y,z) * x. [para(27(a,1),221(a,1,2,1))]. 415 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(28(a,1),221(a,1,2,1))]. 416 T(x,y) * T(x,z) = T(x,z) * T(x,y). [para(170(a,1),221(a,1,2,1))]. 417 T(x / y,z) * y = y * T(y \ x,z). [para(118(a,1),221(a,1,2,1)),flip(a)]. 418 T((x * y) / x,z) * x = x * T(y,z). [para(208(a,1),221(a,1,2,1)),flip(a)]. 419 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(117(a,1),221(a,1,2,1))]. 420 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(254,a,231,a)]. 421 T(T(T(x / y,z),u),y) = T(T(y \ x,z),u). [para(231(a,1),28(a,1,1)),flip(a)]. 423 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(231(a,1),263(a,1,2))]. 424 T(T(x / y,z),u) * y = y * T(T(y \ x,z),u). [para(231(a,1),221(a,1,2,1)),flip(a)]. 425 (x * T(y,z)) / x = T((x * y) / x,z). [para(208(a,1),252(a,1,1,2,1))]. 426 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(253(a,1),52(a,2)),flip(b)]. 427 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(253(a,1),227(a,1,2))]. 428 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(253(a,1),298(a,1,1,2)),flip(b)]. 429 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(271(a,1),23(a,2,2,2)),flip(a)]. 431 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(271(a,1),304(a,1,2)),flip(b)]. 433 x * K(y,x / y) != y * z | x / y = z. [para(272(a,2),46(a,1))]. 434 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(272(a,1),304(a,1,2)),flip(b)]. 436 1 / K(x,x \ 1) = K(x \ 1,x). [hyper(185,a,401,a)]. 437 (x * y) / L(z \ y,z,x) = x * z. [hyper(123,a,152,a(flip),b,103,a)]. 438 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(123,a,17,a(flip),b,103,a)]. 439 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(66,a,150,a(flip),b,103,a)]. 441 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),23(a,2,1)),flip(a)]. 442 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),23(a,2,2,2)),flip(a)]. 443 ((x * (y * z)) * u) / (L(z,y,x) * u) = R(x * y,L(z,y,x),u). [para(103(a,1),25(a,2,1,1)),flip(a)]. 444 (x * (y * z)) / (y * L(z,y,x)) = R(x,y,L(z,y,x)). [para(103(a,1),25(a,2,1)),flip(a)]. 445 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),46(a,1)),flip(a)]. 446 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(116(a,1),103(a,1,1))]. 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),304(a,1,2)),flip(b)]. 448 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(243(a,2),103(a,1,1))]. 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),193(a,1))]. 450 L(x \ T(y * x,y),x,y) = y. [hyper(285,a,210,a(flip),b,105,a),flip(a)]. 451 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(285,a,162,a(flip),b,105,a),flip(a)]. 452 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(285,a,161,a(flip),b,105,a),flip(a)]. 453 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(285,a,154,a(flip),b,105,a),flip(a)]. 454 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(17(a,1),105(a,2,1))]. 455 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(17(a,1),105(a,2,2))]. 456 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(19(a,2),105(a,1,1)),flip(a)]. 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(116(a,1),105(a,2,1))]. 458 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(116(a,1),105(a,2,2))]. 459 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 460 (R(x,y,z) * (y * z)) / z = x * y. [hyper(123,a,112,a,b,xx)]. 461 R(x / y,y,x \ z) \ z = y * (x \ z). [hyper(122,a,286,a(flip),b,112,a)]. 462 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(122,a,151,a(flip),b,112,a)]. 463 R(x / y,y,z) \ (x * z) = y * z. [hyper(122,a,150,a(flip),b,112,a)]. 464 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(123,a,82,a(flip),b,112,a(flip))]. 465 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(122,a,82,a(flip),b,112,a(flip))]. 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(122,a,112,a(flip),b,103,a)]. 467 R(x,y / z,z) * y = (x * (y / z)) * z. [para(17(a,1),112(a,1,2))]. 468 ((x * y) * z) \ ((R(x,y,z) * y) * z) = a(R(x,y,z),y,z). [para(112(a,1),19(a,2,1)),flip(a)]. 469 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(112(a,1),25(a,2,1,1)),flip(a)]. 470 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(112(a,1),25(a,2,2)),flip(a)]. 471 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(32(a,1),112(a,1,1))]. 472 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(34(a,1),112(a,1,1))]. 473 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(36(a,1),112(a,1,1))]. 474 R(x,y,z) * (y * z) != (x * y) * u | u = z. [para(112(a,2),46(a,2)),flip(a)]. 475 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(112(a,1),47(a,1))]. 476 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(116(a,1),112(a,1,2))]. 477 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(112(a,1),96(a,1,1))]. 478 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(96(a,1),112(a,1,2))]. 479 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(112(a,1),294(a,1,1)),flip(b)]. 480 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(112(a,2),294(a,1,1)),flip(b)]. 481 R(x,y \ 1,y) * K(y \ 1,y) = (x * (y \ 1)) * y. [para(243(a,2),112(a,1,2))]. 482 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(112(a,1),195(a,1)),flip(b)]. 484 ((x * y) * z) * L(u,y * z,R(x,y,z)) = R(x,y,z) * ((y * z) * u). [para(112(a,1),103(a,1,1))]. 485 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(112(a,1),112(a,1,2))]. 486 R(x / (1 / y),1 / y,y) = x * y. [hyper(285,a,166,a(flip),b,113,a),flip(a)]. 487 R((x / y) / z,z,y) = x / (z * y). [hyper(285,a,153,a(flip),b,113,a),flip(a)]. 488 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(196,a,113,a(flip))]. 489 R(x / (y / z),y / z,z) = (x * z) / y. [para(17(a,1),113(a,2,2))]. 490 T((x * y) / (z * y),u) = R(T(x / z,u),z,y). [para(113(a,1),32(a,2,1)),flip(a)]. 491 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(229(a,1),113(a,2,2))]. 492 R(x / y,y,y \ 1) != z | x * (y \ 1) = z. [para(113(a,2),196(a,1)),flip(b)]. 493 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(112(a,1),113(a,2,1))]. 494 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(112(a,1),113(a,2,2))]. 495 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(113(a,2),113(a,1,1))]. 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(96(a,1),176(a,1,2,1))]. 498 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),176(a,1,2,1))]. 499 (x * y) / L(z,y / z,x) = x * (y / z). [para(17(a,1),178(a,1,1,2))]. 501 (x * (y * z)) / L(T(y,z),z,x) = x * z. [para(116(a,1),178(a,1,1,2))]. 502 R(x,x \ 1,(x \ 1) \ y) = ((x \ 1) \ y) / y. [para(15(a,1),200(a,2,2))]. 503 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(122,a,35,a,b,242,a)]. 504 x \ T(L(y,x \ 1,x),z) = (x \ 1) * T(y,z). [hyper(122,a,30,a(flip),b,242,a)]. 505 L(x,y \ 1,y) != y * z | (y \ 1) * x = z. [para(242(a,1),46(a,1))]. 506 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(122,a,35,a,b,244,a)]. 507 L(x,y / x,1 / (y / x)) = (1 / (y / x)) * y. [para(17(a,1),244(a,1,2)),flip(a)]. 508 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(123,a,34,a(flip),b,247,a)]. 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(268(a,1),30(a,2,1))]. 513 (x * (x \ y)) * z != u | y * z = u. [para(87(a,1),293(a,1,1,1))]. 515 1 * x != y * z | y \ x = z. [para(85(a,1),299(a,1,1))]. 516 x * T(y,x) != z * u | z \ (y * x) = u. [para(179(a,1),299(a,1,1))]. 517 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(155(a,1),299(a,1,1))]. 519 (x * (x \ 1)) * y != z * u | z \ y = u. [para(15(a,2),515(a,1,1))]. 525 ((1 / x) * x) * y != z * u | y / u = z. [para(162(a,1),300(a,1,2))]. 526 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(158(a,1),300(a,1,2))]. 533 x \ y != z * T(u,z) | x * (u * z) = y. [para(27(a,2),302(a,2,2))]. 534 x \ y != (z / u) * u | x * z = y. [para(90(a,1),302(a,2,2))]. 535 x \ (x * y) != z \ u | z * y = u. [para(158(a,2),302(a,2)),flip(a)]. 539 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(242(a,1),303(a,1))]. 542 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(123,a,34,a(flip),b,355,a)]. 543 (x \ 1) \ R(y,x,x \ 1) = T(y * x,x \ 1). [hyper(122,a,355,a(flip),b,116,a)]. 544 (x * (y \ 1)) * T(y,y \ 1) = R(x,y \ 1,(y \ 1) \ 1). [para(117(a,2),355(a,1,2))]. 545 R(R(x,y,z),y * z,(y * z) \ 1) = ((x * y) * z) * ((y * z) \ 1). [para(112(a,1),355(a,1,1)),flip(a)]. 546 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(357(a,1),169(a,1,2))]. 547 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(361(a,1),30(a,2,1)),flip(a)]. 548 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(368(a,1),32(a,2,1)),flip(a)]. 549 (((x / y) / z) * z) * y != u * w | x / w = u. [para(17(a,2),379(a,1,1))]. 550 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(155(a,1),379(a,1,1))]. 551 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(15(a,2),381(a,1,2))]. 552 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(158(a,1),381(a,1,2))]. 554 x / y != x * (1 / z) | L(z,1 / z,x) = y. [para(389(a,1),48(a,1)),flip(a)]. 555 x \ y != (z \ 1) * y | R(z,z \ 1,y) = x. [para(394(a,1),51(a,1)),flip(a)]. 556 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(404(a,1),240(a,1,2)),flip(b)]. 560 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(407(a,1),236(a,1,1)),flip(b)]. 561 x / L(y \ z,y,x / z) = (x / z) * y. [hyper(66,a,153,a(flip),b,437,a)]. 563 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(437(a,1),307(a,1,1)),flip(b)]. 564 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(451(a,1),30(a,2,1))]. 565 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(451(a,1),34(a,1,1)),flip(a)]. 566 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(452(a,1),30(a,2,1))]. 567 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(452(a,1),169(a,1,2))]. 570 R(x / y,y,T(z,x)) \ (z * x) = y * T(z,x). [para(116(a,1),463(a,1,2))]. 571 R(R(1 / x,x,y),x * y,z) \ (y * z) = (x * y) * z. [para(205(a,2),463(a,1,1,1))]. 572 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(486(a,1),32(a,2,1))]. 573 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(488(a,1),32(a,2,1))]. 574 R(L(x / y,z,u),y,y \ 1) = L(x * (y \ 1),z,u). [para(488(a,1),34(a,2,1))]. 575 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(488(a,1),36(a,1,1)),flip(a)]. 576 T(x / y,x * (y \ 1)) = x / y. [para(488(a,1),168(a,1,2))]. 577 T(x * (y \ 1),x / y) = x * (y \ 1). [hyper(57,a,576,a)]. 578 x \ y != (z / (u \ z)) * w | x * (u * w) = y. [para(173(a,1),534(a,2,1))]. 582 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(66,a,103,a(flip),b,222,a)]. 583 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(122,a,222,a(flip),b,103,a(flip))]. 584 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(222(a,1),19(a,2,1,2)),flip(a)]. 585 x * L(x \ (y * x),z,u) = L(y,z,u) * x. [para(27(a,1),222(a,1,2,1))]. 586 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(32(a,2),222(a,1,2,1))]. 587 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(118(a,1),222(a,1,2,1)),flip(a)]. 588 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(208(a,1),222(a,1,2,1)),flip(a)]. 589 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(122,a,112,a(flip),b,223,a)]. 591 x * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * x. [para(28(a,1),223(a,1,2,1))]. 592 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(223(a,1),46(a,1))]. 593 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(118(a,1),223(a,1,2,1)),flip(a)]. 594 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(208(a,1),223(a,1,2,1)),flip(a)]. 595 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(117(a,1),223(a,1,2,1))]. 596 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(230(a,1),223(a,1,2,1)),flip(a)]. 597 T(x / y,(z / y) \ z) = y \ x. [hyper(224,a,319,a,b,317,a)]. 598 T((x * y) / x,x * y) = L(y,x,(x * y) / x). [hyper(224,a,103,a(flip),b,150,a(flip))]. 599 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(254,a,232,a)]. 600 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(254,a,233,a)]. 601 T(x / (y * x),y) = R(y \ 1,y,x). [para(205(a,1),233(a,1,1))]. 602 R(x \ 1,x,x \ 1) = T(x \ 1,x). [para(366(a,1),233(a,1,1)),flip(a)]. 603 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(113(a,1),233(a,1,1))]. 604 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(369(a,1),233(a,1,1)),flip(a)]. 605 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(487(a,1),233(a,1,1)),flip(a)]. 606 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(488(a,1),233(a,1,1)),flip(a)]. 607 (x / (y * x)) * y = y * R(y \ 1,y,x). [hyper(124,a,601,a(flip),b,27,a(flip)),flip(a)]. 608 x * R(x \ 1,x,y) != z | (y / (x * y)) * x = z. [para(601(a,1),263(a,1,2))]. 609 x \ ((y \ z) \ z) != x \ u | T(y,y \ z) = u. [para(278(a,1),50(a,1))]. 610 ((x \ y) \ y) / T(z,z \ T(x,x \ y)) = z \ ((x \ y) \ y). [para(278(a,2),249(a,1,2,2))]. 611 (x * T(y,y \ z)) / ((y \ z) \ z) = x. [hyper(295,a,279,a),flip(a)]. 612 x / ((y \ z) \ z) != u | u * T(y,y \ z) = x. [para(279(a,1),136(a,1))]. 614 ((x \ y) \ y) * T(z,T(x,x \ y)) = z * T(x,x \ y). [hyper(263,a,281,a),flip(a)]. 615 T(T(x,x \ y),z) = T((x \ y) \ y,z). [hyper(224,a,281,a,b,116,a)]. 616 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(122,a,281,a,b,xx)]. 617 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,(x \ y) \ y). [para(281(a,2),21(a,2,1)),flip(a)]. 618 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(281(a,2),310(a,1,1))]. 619 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(282(a,1),263(a,1,2))]. 620 (x \ y) * T(T((x \ y) \ y,z),u) = T(T(x,z),u) * (x \ y). [para(282(a,1),221(a,1,2,1))]. 621 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(17(a,1),391(a,1,1))]. 622 T(x,y) / (x * y) != z | R(1 / y,y,T(x,y)) = z. [para(116(a,1),395(a,1,2))]. 623 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(245(a,2),395(a,1,2))]. 624 K(x \ (x * y),x) = K(y,x). [hyper(285,a,97,a(flip),b,396,a)]. 625 K(x \ (x * y),z) = K(y,z). [para(80(a,1),624(a,1,1)),flip(a)]. 626 K((x / y) \ x,z) = K(y,z). [para(17(a,1),625(a,1,1,2))]. 627 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(409(a,1),294(a,1,1)),flip(b)]. 628 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(66,a,281,a(flip),b,418,a)]. 629 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(420(a,1),236(a,1,1)),flip(b)]. 630 T(x / y,y) != z | y \ x = z. [para(420(a,1),298(a,1)),flip(b)]. 632 T(x,x \ y) != z | (x \ y) \ y = z. [para(87(a,1),630(a,1,1))]. 633 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(179(a,1),630(a,1,1))]. 634 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(249(a,1),630(a,1,1))]. 635 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(117(a,2),632(a,1,2))]. 636 T((x \ y) * x,K(x,x \ y)) != z | (((x \ y) * x) \ y) \ y = z. [para(98(a,1),632(a,1,2))]. 637 T((x * y) / x,L(y,z,u)) = (x * y) / x. [para(169(a,1),425(a,1,1,2)),flip(a)]. 638 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(118(a,1),425(a,1,1,2)),flip(a)]. 639 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(425(a,1),236(a,1,1)),flip(b)]. 640 T(x * y,(x \ 1) \ y) = x * y. [hyper(57,a,567,a)]. 641 T(x * ((y \ x) \ 1),y) = x * ((y \ x) \ 1). [para(87(a,1),577(a,1,2))]. 642 ((x \ y) \ y) * z != u | T(x,x \ y) * z = u. [para(616(a,1),240(a,1,2)),flip(b)]. 644 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(15(a,1),93(a,1,1,2))]. 645 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(17(a,1),93(a,1,1,2))]. 646 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(116(a,1),93(a,1,1,2))]. 647 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(93(a,1),304(a,1,2)),flip(b)]. 648 (x * (y * z)) \ ((x * y) * z) != u \ w | u * a(x,y,z) = w. [para(93(a,1),535(a,1,2))]. 649 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [hyper(124,a,35,a,b,104,a)]. 650 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(116(a,1),104(a,1,2,2)),flip(a)]. 651 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [hyper(124,a,35,a,b,106,a)]. 652 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(106(a,1),163(a,1)),flip(b)]. 653 x * L(y,z,x / z) != u | (x / z) * (z * y) = u. [para(106(a,1),240(a,1,2)),flip(b)]. 654 L(x,y / x,z / y) = ((z / y) * (y / x)) \ z. [para(17(a,1),107(a,2,2))]. 655 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),269(a,1,1))]. 656 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(110(a,2),289(a,1,1))]. 657 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(355(a,1),202(a,1,2))]. 658 x * a(x,y,y \ 1) = R(x,y,y \ 1). [hyper(138,a,657,a)]. 659 x \ y != z * a(z,u,u \ 1) | x * R(z,u,u \ 1) = y. [para(657(a,1),302(a,2,2))]. 661 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(247(a,1),206(a,1,2))]. 662 L(T(x,y),y,x) = T(x,x * y). [hyper(308,a,216,a),flip(a)]. 663 (R(x,y,z) * z) \ ((x * y) * z) = L(T(y,z),z,R(x,y,z)). [para(112(a,1),216(a,1,2))]. 664 T(L(x,y,x),y) = T(x,x * y). [hyper(66,a,30,a(flip),b,662,a)]. 665 L(T(T(x,y),z),y,x) = T(T(x,x * y),z). [para(662(a,1),30(a,2,1))]. 666 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(662(a,1),34(a,1,1)),flip(a)]. 667 x * T(y,y * x) = L(y,x,y) * x. [para(662(a,1),222(a,1,2))]. 668 (x * y) * R(L(T(x,y),y,x),z,u) = R(x,z,u) * (x * y). [para(662(a,2),223(a,1,2,1))]. 669 (x * T(y,y * x)) / x = L(y,x,y). [hyper(254,a,664,a)]. 670 T((x * y) / x,y * x) = L(y,x,y). [hyper(43,a,253,a,b,664,a)]. 671 x * L(T(y,y * x),z,u) = L(L(y,x,y),z,u) * x. [para(664(a,1),222(a,1,2,1))]. 672 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(15(a,1),667(a,1,2,2)),flip(a)]. 674 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(116(a,1),667(a,1,2,2)),flip(a)]. 676 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(15(a,1),670(a,1,2))]. 677 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(670(a,1),28(a,1,1)),flip(a)]. 678 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = T(R(y,x,K(x,y)),z) * (x * K(x,y)). [para(274(a,1),417(a,1,1,1)),flip(a)]. 679 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(66,a,223,a,b,335,a)]. 680 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(122,a,335,a(flip),b,223,a)]. 681 R(x,y,z) * (y * z) = (x * y) * (y \ (y * z)). [para(14(a,1),335(a,1,1,3))]. 682 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(34(a,1),335(a,1,1))]. 683 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(285,a,27,a,b,358,a),flip(a)]. 684 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [hyper(124,a,362,a,b,23,a(flip))]. 685 (x / (y * x)) * (R(1 / y,y,x) \ z) = z. [hyper(241,a,365,a),flip(a)]. 686 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(630,a,370,a),flip(a)]. 687 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(117(a,1),376(a,1,2))]. 688 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(27(a,1),383(a,1,2,1))]. 689 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(392(a,1),304(a,1,2)),flip(b)]. 690 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(412(a,1),46(a,1))]. 691 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(412(a,1),304(a,1,2)),flip(b)]. 692 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(116(a,2),431(a,1,2))]. 693 L(x \ y,x,y / x) = T(y / x,y). [hyper(224,a,152,a(flip),b,439,a),flip(a)]. 695 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(453(a,1),30(a,2,1))]. 696 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(453(a,1),34(a,1,1)),flip(a)]. 697 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(455(a,1),30(a,2,1)),flip(a)]. 698 K(x,y) = L(x \ T(x,y),x,y). [hyper(285,a,21,a,b,458,a)]. 699 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(458(a,1),30(a,2,1))]. 700 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(462(a,1),297(a,1,2)),flip(b)]. 701 (x * (y / z)) * z != u * y | R(x,y / z,z) = u. [para(467(a,1),47(a,1))]. 702 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(489(a,1),32(a,2,1))]. 703 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(489(a,1),36(a,1,1)),flip(a)]. 704 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(205(a,2),489(a,1,1,2))]. 705 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(205(a,2),489(a,1,2))]. 706 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(489(a,1),233(a,1,1)),flip(a)]. 707 x / L(y,z / y,x / z) = (x / z) * (z / y). [hyper(66,a,153,a(flip),b,499,a)]. 708 T(x * (y / z),L(z,y / z,x)) = L(z,y / z,x) \ (x * y). [para(499(a,1),118(a,1,1))]. 709 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(501(a,1),307(a,1,1)),flip(b)]. 713 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(14(a,1),603(a,2,1)),flip(a)]. 714 T((x * (y \ z)) / z,y) = R(y \ x,y,y \ z). [para(15(a,1),603(a,1,1,2))]. 715 T(R(x \ y,x,z),x * z) = T((x * z) \ (y * z),x). [para(603(a,1),231(a,1,1))]. 716 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / (x * (x \ z)),x) * z. [para(605(a,1),335(a,1,1)),flip(a)]. 717 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(66,a,355,a,b,606,a)]. 718 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(14(a,1),606(a,1,1)),flip(a)]. 719 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(17(a,1),607(a,1,1,2)),flip(a)]. 721 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(607(a,1),310(a,1,1))]. 722 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [hyper(124,a,665,a(flip),b,23,a(flip))]. 723 ((x \ y) / y) * (R(1 / x,x,x \ y) \ z) = z. [para(15(a,1),685(a,1,1,2))]. 724 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [hyper(124,a,713,a,b,27,a(flip)),flip(a)]. 725 T(((1 / x) * y) * x,1 / x) = R(y,1 / x,x). [para(166(a,1),713(a,2,1)),flip(a)]. 726 T(R(x,y,x),y * x) = T(x,y). [para(713(a,2),253(a,1,1))]. 727 R(T(x,y * x),y,x) = T(x,y). [hyper(66,a,32,a,b,726,a)]. 728 T(x,y * z) != T(z,y) | R(z,y,z) = x. [para(726(a,1),52(a,1)),flip(a)]. 729 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(726(a,1),223(a,1,2,1)),flip(a)]. 730 ((x * T(y,x * y)) * y) / (x * y) = y. [hyper(43,a,713,a(flip),b,727,a(flip))]. 731 R(T(x,y),y / x,x) = T(x,y / x). [para(17(a,1),727(a,1,1,2))]. 733 (T(x,y * x) * y) * x = T(x,y) * (y * x). [para(727(a,1),112(a,1,1)),flip(a)]. 734 R(x,1 / x,x) = T(x,1 / x). [para(186(a,1),731(a,1,1))]. 735 T(x,1 / x) / x = x * (1 / x). [hyper(123,a,734,a(flip),b,247,a)]. 736 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(734(a,1),36(a,1,1)),flip(a)]. 737 T(x,1 / x) / x = K(x,1 / x). [hyper(285,a,245,a,b,735,a),flip(a)]. 738 T(x * T(y,x * y),y) = x * y. [hyper(250,a,730,a)]. 739 (x * T(y,x * y)) * y = y * (x * y). [hyper(136,a,730,a),flip(a)]. 740 T((x / y) * T(y,(x / y) * y),y) = x. [hyper(285,a,17,a(flip),b,738,a),flip(a)]. 741 (x * (y * x)) / x = y * T(x,y * x). [hyper(254,a,738,a)]. 743 T((x / y) * T(y,x),y) = x. [para(17(a,1),740(a,1,1,2,2))]. 744 (x / y) * T(y,x) = (y * x) / y. [hyper(254,a,743,a),flip(a)]. 745 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(315,a,744,a),flip(a)]. 746 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(224,a,744,a,b,15,a),flip(a)]. 747 ((x * y) / x) / T(x,y) = y / x. [hyper(135,a,744,a)]. 748 T(x,y) = (y / x) \ ((x * y) / x). [hyper(128,a,744,a),flip(a)]. 750 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(359(a,1),744(a,1,1)),flip(a)]. 751 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(389(a,1),744(a,1,1)),flip(a)]. 752 ((x * (y * x)) / x) / T(x,y * x) = y. [hyper(285,a,16,a(flip),b,747,a),flip(a)]. 753 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(39,a,173,a(flip),b,747,a)]. 754 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(752(a,1),299(a,1,1))]. 755 x * T(y,x * y) != z * u | ((y * (x * y)) / y) / u = z. [para(752(a,1),379(a,1,1))]. 756 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [hyper(254,a,718,a)]. 757 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(285,a,32,a,b,119,a)]. 760 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(36(a,1),262(a,1,1))]. 761 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(116(a,1),262(a,1,2))]. 762 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(30(a,1),265(a,1,2))]. 763 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(34(a,2),265(a,1,2))]. 764 K(x \ 1,x) * L(y,x,x \ 1) != z | (x \ 1) * (x * y) = z. [para(243(a,2),265(a,1,1))]. 766 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(96(a,1),445(a,1,1)),flip(a)]. 767 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(116(a,1),447(a,1,1))]. 768 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(84(a,1),447(a,1,2))]. 769 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. 770 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(93(a,1),447(a,1,2,2))]. 771 (1 / x) * (y * x) != z | L(T(y,x),x,1 / x) = z. [para(116(a,1),449(a,1,2))]. 774 ((x * y) * R(T(z,y),u,w)) / (R(z,u,w) * y) != v5 | R(x,y,R(T(z,y),u,w)) = v5. [para(223(a,1),479(a,1,2))]. 776 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(243(a,2),556(a,1,2))]. 778 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(357(a,1),587(a,2,2))]. 779 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(135,a,588,a),flip(a)]. 780 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(123,a,103,a(flip),b,588,a),flip(a)]. 781 (x * R(x \ y,z,u)) * (x \ 1) = R(R(y / x,z,u),x,x \ 1). [para(593(a,1),355(a,1,1))]. 782 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = R(R(y,x,K(x,y)),z,u) * (x * K(x,y)). [para(274(a,1),593(a,1,1,1)),flip(a)]. 783 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(135,a,594,a),flip(a)]. 784 R((x * y) / x,z,u) \ (x * R(y,z,u)) = x. [hyper(128,a,594,a)]. 785 (x * R(y,z,z \ x)) / (z \ x) = ((x * y) / x) * z. [hyper(123,a,594,a(flip),b,335,a(flip))]. 786 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(123,a,594,a(flip),b,112,a(flip))]. 787 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(599(a,1),236(a,1,1)),flip(b)]. 788 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [para(203(a,1),599(a,1,1,2))]. 789 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(268(a,1),599(a,1,1,2)),flip(a)]. 790 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(357(a,1),599(a,1,1,2))]. 791 ((x \ 1) * (x * y)) / (x \ 1) = L(y / (x \ 1),x \ 1,x). [para(452(a,1),599(a,1,1,2))]. 792 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(698(a,2),599(a,1,1,2)),flip(a)]. 794 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(23(a,2),600(a,1,1,2,1))]. 795 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(90(a,1),600(a,1,1,2,1))]. 796 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(600(a,1),236(a,1,1)),flip(b)]. 797 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(254,a,638,a)]. 798 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [hyper(124,a,638,a(flip),b,27,a(flip)),flip(a)]. 800 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(638(a,1),263(a,1,2))]. 801 T(x,y * ((x \ y) \ 1)) = x. [hyper(57,a,641,a)]. 802 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(271(a,2),717(a,1,1))]. 805 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(118(a,1),757(a,1,1,1)),flip(a)]. 806 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [hyper(124,a,779,a(flip),b,23,a(flip))]. 807 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(361(a,1),779(a,2,1,2))]. 808 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(451(a,1),779(a,2,1,2))]. 809 L((x * ((y \ 1) \ z)) / x,y \ 1,y) = (x * (y * z)) / x. [para(452(a,1),779(a,2,1,2))]. 810 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(453(a,1),779(a,2,1,2))]. 812 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(486(a,1),783(a,2,1,2))]. 813 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(487(a,1),783(a,2,1,2))]. 814 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(488(a,1),783(a,2,1,2))]. 815 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(783(a,1),262(a,1,1))]. 816 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [hyper(124,a,35,a,b,215,a)]. 817 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(66,a,425,a(flip),b,219,a)]. 818 a(1 / (x * y),x,y) \ R((1 / (x * y)) * x,y,y \ 1) = y \ 1. [para(246(a,1),465(a,1,1))]. 819 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [hyper(124,a,363,a,b,215,a)]. 820 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [hyper(124,a,363,a,b,23,a(flip))]. 821 R((x * y) \ x,y,y \ 1) = L(T(y \ 1,y),y,x). [para(602(a,1),363(a,2,1))]. 822 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(285,a,105,a(flip),b,364,a),flip(a)]. 823 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [hyper(124,a,364,a(flip),b,23,a(flip))]. 824 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(356(a,1),364(a,1,1)),flip(a)]. 826 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(652,a,824,a)]. 827 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(15(a,1),824(a,1,1,1))]. 828 (x / y) * R(y,z,u) != w | R(x / (x / y),z,u) * (x / y) = w. [para(230(a,1),385(a,1,2,1))]. 829 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),413(a,1,2,1))]. 830 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(268(a,1),413(a,1,2,1))]. 831 (x * y) * T(T((x * y) \ x,z),u) = x * (y * T(T(y \ 1,z),u)). [para(362(a,2),413(a,1,2,1))]. 833 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(457(a,1),30(a,2,1))]. 834 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),34(a,1,1)),flip(a)]. 835 L(L(T(x,y) \ z,u,w),T(x,y),y) = L((x * y) \ (y * z),u,w). [para(457(a,1),35(a,1,1)),flip(a)]. 836 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(113(a,1),471(a,1,1,1))]. 837 R(T(x / y,y * z),y,z) = (y * z) \ (x * z). [hyper(630,a,490,a),flip(a)]. 838 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [para(452(a,1),504(a,1,2,1)),flip(a)]. 839 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),265(a,1,2))]. 841 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [hyper(124,a,547,a,b,106,a),flip(a)]. 842 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(548(a,2),335(a,1,1))]. 845 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(122,a,564,a(flip),b,244,a)]. 846 L(L(T(x \ 1,y),x,z),z * x,1 / (z * x)) = T((1 / (z * x)) * z,y). [para(362(a,1),564(a,1,1))]. 847 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(179(a,1),570(a,1,1,1))]. 848 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(123,a,572,a(flip),b,247,a),flip(a)]. 849 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(123,a,573,a(flip),b,355,a)]. 850 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(203(a,1),582(a,2,1)),flip(a)]. 851 T(x,y) = (y * x) \ ((x * y) * x). [hyper(285,a,727,a(flip),b,589,a)]. 852 (x * y) * T(y,x) = (y * x) * y. [hyper(124,a,727,a(flip),b,589,a)]. 853 R(T(x,T(y,x) * z),T(y,x),z) = (T(y,x) * z) \ ((y * x) * z). [para(116(a,1),589(a,1,2,1)),flip(a)]. 854 R(T(x,y * L(z,y,x)),y,L(z,y,x)) = (y * L(z,y,x)) \ (x * (y * z)). [para(103(a,1),589(a,1,2)),flip(a)]. 855 ((x \ 1) * x) \ x = T(x,x \ 1). [para(81(a,1),851(a,2,2)),flip(a)]. 857 (x * (y / x)) * x = y * T(x,y / x). [hyper(293,a,852,a),flip(a)]. 858 (T(x,y) * (y * x)) \ ((x * y) * x) = K(y * x,T(x,y)). [hyper(122,a,852,a(flip),b,96,a)]. 859 K(x \ 1,x) \ x = T(x,x \ 1). [para(243(a,2),855(a,1,1))]. 860 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(124,a,117,a(flip),b,859,a)]. 861 (x * y) * (y \ z) != z * u | R(T(x,z),y,y \ z) = u. [para(335(a,1),592(a,1))]. 862 L(x,y,(y * x) / y) * y = y * T(x,y * x). [para(598(a,1),418(a,1,1))]. 863 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(87(a,1),629(a,1,1,1))]. 865 ((1 / x) * (x / y)) * y = a(1 / x,x / y,y). [hyper(193,a,645,a),flip(a)]. 867 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(285,a,30,a,b,677,a),flip(a)]. 868 R(T(x / y,z),y,y \ z) = z \ (x * (y \ z)). [hyper(122,a,150,a(flip),b,679,a),flip(a)]. 869 (x * y) * (y \ (y * z)) != u * (y * z) | R(x,y,z) = u. [para(681(a,1),47(a,1))]. 870 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(214(a,1),789(a,2,1,2))]. 871 x * T(y,x * y) != z * x | L(y,x,(x * y) / x) = z. [para(862(a,1),47(a,1))]. 873 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,T(y,z)) = u. [para(116(a,1),647(a,1,1,2))]. 875 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(14(a,1),797(a,1,1,2,1,2))]. 876 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(797(a,1),236(a,1,1)),flip(b)]. 877 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(66,a,464,a,b,798,a)]. 878 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(87(a,1),798(a,1,1,1,2)),flip(a)]. 879 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(113(a,2),798(a,1,1,1,2))]. 880 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(113(a,1),805(a,1,1,1))]. 881 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(688,a,838,a),flip(a)]. 882 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(263,a,838,a),flip(a)]. 883 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(13(a,1),838(a,2,2,1))]. 884 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(15(a,1),838(a,2,2,1))]. 885 x \ T(x * y,x \ 1) != z | ((x \ 1) \ y) * (x \ 1) = z. [para(838(a,1),263(a,1))]. 886 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(66,a,419,a(flip),b,883,a)]. 888 ((x \ 1) * T(x,y)) \ (x \ T(x,y)) != z | K(T(x,y),x \ 1) = z. [para(886(a,1),310(a,1,2))]. 889 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(886(a,1),215(a,1,2,2))]. 890 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(533,a,845,a)]. 891 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [para(13(a,1),845(a,1,2,1))]. 892 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(15(a,1),845(a,1,2,1)),flip(a)]. 894 L(x * T(x \ 1,y),1 / x,y) = K(1 / x,y). [para(891(a,1),698(a,2,1)),flip(a)]. 895 L((1 / x) * T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y). [para(90(a,1),894(a,1,1,2,1))]. 896 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(639,a,848,a),flip(a)]. 897 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(629,a,848,a)]. 898 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [para(12(a,1),848(a,2,1,1))]. 899 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [para(118(a,1),848(a,1,1)),flip(a)]. 900 T(x * y,z) / y != u | (1 / y) * T((1 / y) \ x,z) = u. [para(848(a,1),629(a,1))]. 901 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [hyper(629,a,898,a)]. 902 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(898(a,1),629(a,1))]. 903 (1 / x) * T(x,y) = T(x,y) / x. [para(90(a,1),901(a,1,2,1))]. 904 L(T(x,y) / x,1 / (1 / x),y) = K(1 / (1 / x),y). [para(901(a,1),894(a,1,1))]. 905 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [hyper(315,a,903,a),flip(a)]. 906 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(224,a,903,a,b,15,a),flip(a)]. 907 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(135,a,903,a)]. 908 T(x,x \ y) / x = (1 / x) * ((x \ y) \ y). [hyper(66,a,280,a(flip),b,903,a),flip(a)]. 909 (T(x,y) / x) \ (T(x,y) * (1 / x)) = K(T(x,y),1 / x). [para(903(a,1),21(a,2,1)),flip(a)]. 910 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(903(a,1),315(a,1))]. 911 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(903(a,1),670(a,1,2))]. 912 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(621,a,906,a)]. 913 (1 / x) * ((x \ y) \ y) = ((x \ y) \ y) / x. [para(117(a,1),908(a,1,1)),flip(a)]. 914 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(285,a,417,a(flip),b,849,a),flip(a)]. 915 ((x \ 1) \ (x \ y)) * (x \ 1) = x \ T(y,x \ 1). [para(15(a,1),882(a,1,2,1)),flip(a)]. 917 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(123,a,884,a(flip),b,417,a)]. 918 (x \ T(y,x \ 1)) / (x \ 1) = (x \ 1) \ (x \ y). [hyper(123,a,884,a(flip),b,116,a(flip))]. 919 (x \ ((1 / x) \ y)) * x = (1 / x) \ T(y,x). [hyper(263,a,892,a)]. 920 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(892(a,1),398(a,1,2))]. 921 (1 / x) \ T((y \ (1 / x)) * y,x) = (x \ K(y \ (1 / x),y)) * x. [para(97(a,1),919(a,1,1,2)),flip(a)]. 923 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(17(a,1),899(a,1,1,1)),flip(a)]. 924 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(285,a,838,a(flip),b,914,a),flip(a)]. 925 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [hyper(136,a,914,a)]. 926 x * T(x \ (y / (x \ 1)),z) = T(y,z) / (x \ 1). [para(17(a,1),914(a,1,1,1)),flip(a)]. 927 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = (x \ 1) \ (x \ R(y,z,u)). [para(32(a,2),918(a,1,1,2))]. 929 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(923(a,1),98(a,1,1)),flip(a)]. 930 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(14(a,1),925(a,1,1,2,1)),flip(a)]. 931 (x \ (y / (x \ 1))) * x = T(y,x) / (x \ 1). [hyper(263,a,926,a)]. 932 T((x * y) * (x \ 1),y) = (x * y) * (x \ 1). [para(115(a,1),930(a,2,1,2))]. 933 K((x * y) * (x \ 1),y) = 1. [hyper(58,a,932,a)]. 934 K(((1 / x) * y) * x,y) = 1. [para(90(a,1),933(a,1,1,2))]. 935 K(x * y,(1 / y) \ x) = 1. [para(15(a,1),934(a,1,1,1))]. 936 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(903(a,1),331(a,1,2,2))]. 937 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(105(a,1),410(a,1,2,1))]. 938 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(268(a,1),410(a,1,2,1))]. 939 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(662(a,1),410(a,1,2,1))]. 940 (x * y) * R((x * y) \ (x * z),u,w) = x * (y * R(y \ z,u,w)). [para(105(a,1),411(a,1,2,1))]. 941 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(268(a,1),411(a,1,2,1))]. 942 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,448,a),flip(a)]. 943 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(122,a,472,a(flip),b,582,a)]. 944 (L((x / y) / z,u,w) * z) * y = L(x / (z * y),u,w) * (z * y). [para(487(a,1),472(a,1,1,1)),flip(a)]. 945 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(113(a,1),473(a,1,1,1))]. 946 R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(886(a,1),497(a,1,1,1))]. 947 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(452(a,1),503(a,1,2,1)),flip(a)]. 949 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(356(a,1),506(a,1,2,1))]. 950 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(451(a,1),506(a,1,2,1))]. 951 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(734(a,1),508(a,1,1,1))]. 952 T(L(x,y,z),1 / x) / x = L(x,y,z) * (1 / x). [para(30(a,1),951(a,1,1))]. 953 (1 / x) \ (L(x,y,z) / x) = L(x,y,z). [hyper(38,a,923,a,b,952,a(flip))]. 954 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(185,a,953,a)]. 955 (1 / x) * L(x,y,z) = L(x,y,z) / x. [hyper(138,a,953,a)]. 957 L(x \ 1,y,z) / (x \ 1) = x * L(x \ 1,y,z). [hyper(40,a,173,a,b,954,a),flip(a)]. 958 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(955(a,1),105(a,2,1))]. 959 T((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). [para(955(a,1),670(a,1,2))]. 961 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [para(203(a,1),957(a,2,2))]. 962 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [hyper(180,a,961,a)]. 963 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [hyper(136,a,961,a)]. 964 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(15(a,1),962(a,1,1,2,1))]. 966 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(963(a,1),21(a,2,1)),flip(a)]. 968 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(488(a,1),542(a,1,1,1))]. 969 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(652,a,565,a)]. 970 L(L(T(x \ 1,x),x,y),y * x,1 / (y * x)) = R((1 / (y * x)) * y,x,x \ 1). [para(821(a,1),565(a,1,1))]. 971 x \ (y * (((y \ x) \ z) * (y \ x))) = T(x \ (y * z),y \ x). [hyper(66,a,650,a(flip),b,695,a)]. 972 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [hyper(124,a,695,a(flip),b,104,a),flip(a)]. 973 L(T(T((x \ y) \ z,u),w),x \ y,x) = T(T(y \ (x * z),u),w). [para(695(a,1),30(a,2,1))]. 974 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(702(a,1),467(a,1,1)),flip(a)]. 975 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [hyper(66,a,32,a,b,715,a)]. 976 (x \ y) \ (y * R(z,x,x \ y)) = T(((y * z) / y) * x,x \ y). [para(785(a,1),118(a,1,1)),flip(a)]. 977 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [para(368(a,1),785(a,1,1,2))]. 978 x * L(x \ T(x,y),1 / (1 / x),y) = K(1 / (1 / x),y) * x. [para(904(a,1),587(a,1,1)),flip(a)]. 979 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(942(a,1),46(a,1)),flip(a)]. 980 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(12(a,1),975(a,2,1,2))]. 981 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(14(a,1),975(a,1,1,1)),flip(a)]. 985 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(666(a,1),586(a,1,2))]. 986 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(37,a,223,a,b,595,a)]. 988 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(122,a,986,a,b,15,a)]. 989 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(122,a,986,a(flip),b,336,a),flip(a)]. 991 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(383,a,722,a),flip(a)]. 992 T(x,y) * (x * z) = x * (T(x,y) * z). [para(221(a,1),991(a,1,2)),flip(a)]. 993 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(552,a,992,a)]. 994 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(551,a,992,a),flip(a)]. 995 (T(x,y) * z) / (T(x,y) * (x \ z)) = x. [hyper(526,a,992,a)]. 996 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(303,a,992,a),flip(a)]. 997 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(285,a,152,a(flip),b,992,a),flip(a)]. 998 T(x,y) \ (x * (T(x,y) * z)) = x * z. [hyper(128,a,992,a)]. 999 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(122,a,152,a(flip),b,992,a)]. 1000 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(122,a,82,a(flip),b,992,a),flip(a)]. 1001 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(17(a,1),992(a,1,2)),flip(a)]. 1003 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(992(a,2),46(a,1))]. 1004 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [para(116(a,1),992(a,1,2)),flip(a)]. 1005 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),992(a,1,1)),flip(a)]. 1007 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(135,a,1000,a)]. 1008 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(128,a,1000,a)]. 1009 (T(x,y) \ x) / T(x,T(x,y) \ 1) = T(x,y) \ 1. [hyper(123,a,1000,a(flip),b,116,a)]. 1012 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1007(a,1),917(a,2,1))]. 1013 x \ (T(x,x \ y) * z) = ((x \ y) \ y) * (x \ z). [hyper(285,a,281,a(flip),b,993,a),flip(a)]. 1014 x \ (T(x,y) * T(x,z)) = T(x,z) * (x \ T(x,y)). [para(416(a,1),993(a,1,2))]. 1015 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(995(a,1),130(a,1,1)),flip(a)]. 1016 x \ (T(x,y) * z) != u | T(x,y) * (x \ z) = u. [para(995(a,1),307(a,1,1)),flip(b)]. 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(224,a,116,a,b,997,a),flip(a)]. 1019 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(224,a,997,a,b,15,a)]. 1020 T(x,y) \ K(x,1 / x) = x * (T(x,y) \ (1 / x)). [hyper(122,a,245,a,b,997,a)]. 1021 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(37,a,412,a,b,997,a),flip(a)]. 1022 x * (T(x,y) \ (T(x,y) / x)) = K(x,T(x,y) / x). [hyper(37,a,272,a,b,997,a),flip(a)]. 1024 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(997(a,1),304(a,1,2)),flip(b)]. 1025 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(118(a,1),1018(a,1,2,1))]. 1026 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(224,a,733,a,b,1004,a)]. 1027 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(37,a,412,a,b,1004,a),flip(a)]. 1029 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(136,a,1012,a)]. 1030 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(118(a,1),1025(a,2,2))]. 1031 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(14(a,1),1030(a,1,2,1))]. 1032 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(118(a,1),1029(a,1,1)),flip(a)]. 1033 T(x,y) = ((x * y) / x) * (y \ x). [para(14(a,1),1031(a,2,2)),flip(a)]. 1034 T(x,y) / (y \ x) = (x * y) / x. [hyper(123,a,1033,a,b,xx)]. 1035 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(122,a,1033,a,b,116,a),flip(a)]. 1036 ((x * y) / x) \ T(x,y) = y \ x. [hyper(122,a,1033,a,b,xx)]. 1037 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(17(a,1),1033(a,2,1,1)),flip(a)]. 1038 ((x * (x / y)) / x) * y = T(x,x / y). [para(90(a,1),1033(a,2,2)),flip(a)]. 1039 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(367(a,1),1033(a,2,2)),flip(a)]. 1040 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(394(a,1),1033(a,2,2)),flip(a)]. 1041 ((x * y) * x) / (x * y) = T(x * y,x) / y. [para(14(a,1),1034(a,1,2)),flip(a)]. 1043 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(66,a,798,a(flip),b,1038,a)]. 1044 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(122,a,1038,a(flip),b,798,a(flip))]. 1045 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(90(a,1),1043(a,1,2,1,2))]. 1046 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(789(a,2),1043(a,1,2))]. 1048 T(x \ T(y,y / x),y) = x \ y. [para(1044(a,2),208(a,1,1))]. 1049 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1044(a,1),381(a,1,2))]. 1050 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(87(a,1),1048(a,1,1,2,2))]. 1051 T((x \ y) \ T(y,x),y) = T(x,x \ y). [hyper(285,a,117,a,b,1050,a),flip(a)]. 1052 T((x \ y) \ T(y,x),x * y) = L(T(x,x \ y),y,x). [para(1035(a,1),867(a,1,1))]. 1053 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(123,a,208,a(flip),b,1037,a),flip(a)]. 1054 T(T(x * y,x) / y,x * y) = x. [para(1041(a,1),208(a,1,1))]. 1055 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1041(a,1),817(a,1,1))]. 1056 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(355(a,1),1054(a,1,1,1,1))]. 1057 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(630,a,1055,a)]. 1059 L(R(x,y,T(x,y)),y,x) = x. [para(1057(a,1),450(a,1,1))]. 1060 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(209(a,1),1045(a,1,2)),flip(a)]. 1062 T(x,y) \ K(x,1 / x) != z | x * (T(x,y) \ (1 / x)) = z. [para(245(a,2),1024(a,1,2))]. 1063 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(220(a,1),1024(a,1))]. 1064 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(417(a,1),1001(a,1,2))]. 1065 x \ (((x \ y) \ y) * z) = ((x \ y) \ y) * (x \ z). [para(117(a,1),1013(a,1,2,1))]. 1067 T(x,y) * (x \ T(x,z)) != u | T(x,z) * (x \ T(x,y)) = u. [para(1014(a,1),1016(a,1))]. 1068 x * T(1 / x,T(x,y)) = K(x,T(x,y) / x). [para(906(a,1),1022(a,1,2))]. 1071 x \ T(y,y / (x * y)) = y * ((x \ y) / y). [hyper(122,a,1046,a(flip),b,103,a(flip))]. 1072 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(105(a,1),762(a,1,2,1))]. 1073 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(128,a,841,a)]. 1076 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(325(a,1),841(a,1,2))]. 1077 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(629,a,842,a),flip(a)]. 1078 (x * (T(y,z) / y)) \ (x * (T(y,z) * (1 / y))) = L(K(T(y,z),1 / y),T(y,z) / y,x). [para(909(a,1),105(a,1,1)),flip(a)]. 1079 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(32(a,2),943(a,2,2))]. 1080 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(13(a,1),947(a,2,2,1))]. 1081 x \ L(x * (y \ z),x \ 1,y) = (x \ 1) * ((y * (x \ 1)) \ z). [para(268(a,1),947(a,1,2)),flip(a)]. 1082 (1 / x) * (x * L(x \ y,z,u)) = L((1 / x) * y,z,u). [hyper(138,a,950,a)]. 1084 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(285,a,587,a(flip),b,968,a),flip(a)]. 1085 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(13(a,1),969(a,2,1))]. 1086 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(128,a,1085,a)]. 1087 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(122,a,369,a(flip),b,1085,a),flip(a)]. 1088 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(37,a,658,a,b,1085,a),flip(a)]. 1089 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1085(a,1),304(a,1,2)),flip(b)]. 1090 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(607(a,2),1085(a,1,2))]. 1091 (1 / x) * ((y / (x * y)) * x) = y / (x * y). [hyper(285,a,205,a(flip),b,1090,a),flip(a)]. 1092 ((x \ y) / y) / (((x \ y) / (x * (x \ y))) * x) = 1 / x. [hyper(123,a,368,a(flip),b,1090,a)]. 1093 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(224,a,1091,a,b,15,a),flip(a)]. 1095 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(285,a,798,a(flip),b,977,a),flip(a)]. 1096 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(118(a,1),1005(a,1,2,1))]. 1097 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(208(a,1),1005(a,1,2,1)),flip(a)]. 1098 ((x / y) \ x) * ((x / (x / y)) * z) = (x / (x / y)) * (y * z). [para(230(a,1),1005(a,1,2,1)),flip(a)]. 1099 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(380,a,1096,a),flip(a)]. 1100 (1 / x) * ((x \ 1) * x) = x \ 1. [hyper(285,a,89,a(flip),b,1096,a),flip(a)]. 1101 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(122,a,82,a(flip),b,1096,a),flip(a)]. 1102 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(771,a,1100,a)]. 1103 (1 / x) * K(x \ 1,x) = x \ 1. [para(243(a,2),1100(a,1,2))]. 1104 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(128,a,1103,a)]. 1105 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1103(a,1),475(a,2,2))]. 1106 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1104(a,1),561(a,1,2,1))]. 1107 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(1102(a,1),506(a,1,2,1))]. 1108 ((x \ 1) \ 1) / x = (x \ 1) \ (1 / x). [hyper(66,a,913,a(flip),b,1099,a)]. 1109 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1101(a,1),46(a,1))]. 1110 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(692,a,1073,a)]. 1111 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(122,a,398,a(flip),b,1073,a(flip))]. 1113 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(285,a,901,a(flip),b,1110,a),flip(a)]. 1114 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(285,a,883,a(flip),b,1110,a),flip(a)]. 1115 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(123,a,1110,a,b,417,a)]. 1116 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(906(a,1),1110(a,1,1))]. 1119 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1034(a,1),1111(a,1,2,1,2))]. 1120 T(x,y) = K(y \ (y / (1 / x)),y) * x. [hyper(136,a,1113,a(flip)),flip(a)]. 1121 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(601(a,1),1113(a,2,1))]. 1122 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(118(a,1),1114(a,2,2))]. 1123 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(208(a,1),1114(a,2,2))]. 1124 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(16(a,1),1115(a,1,1,1,2))]. 1126 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(417(a,1),1077(a,1,1))]. 1127 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(122,a,1079,a,b,xx)]. 1128 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(90(a,1),1084(a,1,1,1,2))]. 1129 ((x \ y) / y) / (((x \ y) / y) * x) = 1 / x. [para(15(a,1),1092(a,1,2,1,2))]. 1130 (1 / x) \ ((x \ y) / y) = ((x \ y) / y) * x. [hyper(180,a,1129,a)]. 1131 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(285,a,222,a(flip),b,1107,a),flip(a)]. 1132 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [hyper(124,a,222,a(flip),b,1107,a)]. 1133 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(357(a,1),1131(a,1,2)),flip(a)]. 1134 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(285,a,203,a(flip),b,1132,a)]. 1135 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(203(a,1),1134(a,2,2,1)),flip(a)]. 1136 (1 / x) \ ((y * x) \ y) = ((y * x) \ y) * x. [hyper(128,a,1135,a)]. 1137 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) = (((x * y) / x) \ y) \ y. [para(1123(a,2),117(a,1,2))]. 1138 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1123(a,2),632(a,1,2))]. 1139 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1126(a,1),294(a,1,1)),flip(b)]. 1140 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(325(a,1),1126(a,1,1))]. 1141 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(883(a,1),1126(a,1,1))]. 1143 ((x \ 1) * L((x \ 1) \ y,z,u)) * T(x,x \ 1) = R(L(y / (x \ 1),z,u),x \ 1,(x \ 1) \ 1). [para(587(a,1),544(a,1,1))]. 1144 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(453(a,1),649(a,1,2,1)),flip(a)]. 1145 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(454(a,1),651(a,1,2,1)),flip(a)]. 1146 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(66,a,411,a(flip),b,668,a)]. 1147 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(223(a,1),1146(a,1,2)),flip(a)]. 1148 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(552,a,1147,a)]. 1149 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(526,a,1147,a)]. 1150 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(380,a,1147,a),flip(a)]. 1152 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1147,a)]. 1153 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1147,a),flip(a)]. 1154 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(116(a,1),1147(a,1,2)),flip(a)]. 1155 (R(x,y,z) * u) \ (x * (R(x,y,z) * u)) = L(T(x,u),u,R(x,y,z)). [para(1147(a,1),216(a,1,2))]. 1156 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(135,a,1150,a)]. 1157 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(128,a,1150,a)]. 1158 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [hyper(66,a,595,a,b,1150,a)]. 1159 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(123,a,1150,a(flip),b,223,a)]. 1160 R(x,y,z) * R(R(x,y,z) \ 1,R(x,y,z),x \ 1) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [para(1150(a,1),607(a,1,1,2)),flip(a)]. 1161 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),638(a,2,1))]. 1162 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [hyper(124,a,1153,a(flip),b,403,a),flip(a)]. 1163 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1153(a,1),881(a,1,2,1,2))]. 1165 K(R(x,y,z) \ (R(x,y,z) / (((x \ R(x,y,z)) / R(x,y,z)) \ 1)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(1157(a,1),1122(a,2,2))]. 1166 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(112(a,1),1148(a,1,2)),flip(a)]. 1167 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(135,a,1166,a),flip(a)]. 1168 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(224,a,112,a(flip),b,1154,a),flip(a)]. 1169 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(128,a,1168,a)]. 1170 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(368(a,1),682(a,1,1,1))]. 1171 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [hyper(124,a,696,a(flip),b,104,a),flip(a)]. 1172 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(1 \ (x * y),z,u). [hyper(122,a,696,a(flip),b,242,a),flip(a)]. 1173 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(703(a,1),467(a,1,1)),flip(a)]. 1174 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(66,a,473,a(flip),b,729,a),flip(a)]. 1176 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(780(a,2),49(a,1))]. 1177 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(203(a,1),806(a,1,2,1,2))]. 1178 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),806(a,1,2,1,2))]. 1179 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(268(a,1),806(a,1,2,1,2))]. 1180 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [hyper(124,a,807,a(flip),b,106,a),flip(a)]. 1181 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(122,a,808,a(flip),b,244,a)]. 1182 (x \ 1) * ((y * ((x \ 1) \ z)) / y) = x \ ((y * (x * z)) / y). [hyper(122,a,809,a(flip),b,242,a),flip(a)]. 1183 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(123,a,812,a(flip),b,247,a),flip(a)]. 1184 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [hyper(124,a,833,a(flip),b,215,a)]. 1185 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(993(a,1),870(a,1,1,1))]. 1186 T(x,x / y) != z | y * ((x * (y \ x)) / x) = z. [para(1038(a,1),876(a,1))]. 1187 (x / y) \ T(x,(x / y) \ 1) != z | (((x / y) \ 1) \ y) * ((x / y) \ 1) = z. [para(17(a,1),885(a,1,2,1))]. 1188 x * L(x \ T(x,y),1 / (1 / x),y) = (1 / x) \ K(1 / (1 / x),y). [hyper(122,a,895,a(flip),b,1082,a),flip(a)]. 1191 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(112(a,1),442(a,1,2))]. 1192 R(x * y,z,K(y * z,R(x,y,z))) \ ((y * z) * R(x,y,z)) = z * K(y * z,R(x,y,z)). [hyper(122,a,477,a(flip),b,112,a)]. 1193 x * L(T(T((y \ x) \ x,z),u),y \ x,y) = y * (T(T(y,z),u) * (y \ x)). [para(620(a,1),412(a,2,2))]. 1194 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),763(a,1,2,1))]. 1196 (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),820(a,1,1))]. 1198 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(639,a,836,a),flip(a)]. 1199 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(629,a,836,a)]. 1200 (x * T(y,z)) * y = (x * y) * T(y,z). [para(418(a,1),1198(a,1,1))]. 1201 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(550,a,1200,a)]. 1202 (1 / T(x,y)) * x = x / T(x,y). [hyper(525,a,1200,a),flip(a)]. 1203 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(293,a,1200,a),flip(a)]. 1204 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(285,a,150,a(flip),b,1200,a),flip(a)]. 1205 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(128,a,1200,a)]. 1206 (x * T(y,z)) / y = (x / y) * T(y,z). [hyper(123,a,150,a(flip),b,1200,a)]. 1207 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(549,a,1200,a(flip)),flip(a)]. 1209 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(116(a,1),1200(a,2,1))]. 1210 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(118(a,1),1200(a,1,1,2)),flip(a)]. 1211 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(128,a,1202,a)]. 1213 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1211(a,1),923(a,1,1)),flip(a)]. 1214 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1201(a,2),225(a,2)),flip(a)]. 1216 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1060(a,2),1203(a,1,1))]. 1218 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1205(a,1),981(a,1,1)),flip(a)]. 1220 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(667(a,1),1218(a,1,1,2))]. 1221 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1216(a,1),1004(a,1,2)),flip(a)]. 1222 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(135,a,1221,a),flip(a)]. 1223 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(66,a,1060,a(flip),b,1222,a),flip(a)]. 1224 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(221(a,1),1209(a,1,1))]. 1225 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(224,a,1224,a,b,116,a(flip))]. 1226 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(123,a,81,a(flip),b,1224,a)]. 1229 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(118(a,1),1210(a,1,2))]. 1230 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(208(a,1),1210(a,1,2)),flip(a)]. 1231 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(550,a,1229,a)]. 1232 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(525,a,1229,a),flip(a)]. 1233 (x * (y / z)) / (z \ y) = (x / (z \ y)) * (y / z). [hyper(123,a,150,a(flip),b,1229,a)]. 1234 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(224,a,1232,a,b,15,a),flip(a)]. 1235 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1232(a,1),225(a,2)),flip(a)]. 1236 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(285,a,886,a(flip),b,1226,a),flip(a)]. 1237 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1234(a,1),1113(a,1,1))]. 1238 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(384,a,939,a),flip(a)]. 1239 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(222(a,1),1238(a,1,2)),flip(a)]. 1240 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(552,a,1239,a)]. 1241 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(551,a,1239,a),flip(a)]. 1242 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(380,a,1239,a),flip(a)]. 1243 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(303,a,1239,a),flip(a)]. 1244 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(128,a,1239,a)]. 1245 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(122,a,152,a(flip),b,1239,a)]. 1246 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(122,a,82,a(flip),b,1239,a),flip(a)]. 1247 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(122,a,1239,a(flip),b,96,a)]. 1248 (L(x,y,z) * u) \ (x * (L(x,y,z) * u)) = L(T(x,u),u,L(x,y,z)). [para(1239(a,1),216(a,1,2))]. 1249 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(128,a,1242,a)]. 1250 L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [para(1242(a,1),607(a,1,1,2)),flip(a)]. 1251 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(827(a,1),1242(a,1,1)),flip(a)]. 1252 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1246(a,1),21(a,2,1)),flip(a)]. 1253 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1246(a,1),881(a,1,2,1,2))]. 1254 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1249(a,1,1))]. 1255 L(x,y,z) \ (x \ u) = x \ (L(x,y,z) \ u). [hyper(128,a,1241,a)]. 1259 (x * (y * z)) \ ((x * y) * ((((x * y) \ (x * (y * z))) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(19(a,2),971(a,2,1))]. 1260 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(128,a,972,a)]. 1261 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(13(a,1),972(a,2,2,1,2))]. 1262 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(128,a,1261,a),flip(a)]. 1263 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [hyper(122,a,116,a(flip),b,1261,a),flip(a)]. 1264 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(325(a,1),1261(a,1,2)),flip(a)]. 1265 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1110(a,2),1261(a,1,2)),flip(a)]. 1266 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(285,a,396,a,b,1263,a)]. 1267 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(122,a,396,a,b,1263,a),flip(a)]. 1268 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(122,a,1265,a,b,xx),flip(a)]. 1269 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(66,a,897,a(flip),b,1265,a)]. 1270 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(14(a,1),1265(a,1,2,1)),flip(a)]. 1271 (x * y) * T((x * y) \ (y * x),z) = (y * x) * K(z \ (z / K(x,y)),z). [para(21(a,2),1265(a,2,2,1,2,2))]. 1272 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(23(a,2),1265(a,2,2,1,2,2))]. 1276 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(203(a,2),1267(a,1,1,1))]. 1277 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1267(a,2),689(a,1))]. 1278 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(16(a,1),1268(a,1,1,2))]. 1279 K(x \ (x / T(y,z)),x) = z \ ((y * z) * T((y * z) \ z,x)). [para(27(a,2),1268(a,1,1,2,2))]. 1280 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(90(a,1),1268(a,2,2,2,1))]. 1281 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [hyper(124,a,1276,a,b,358,a),flip(a)]. 1282 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x). [para(1276(a,1),905(a,1,1))]. 1283 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(17(a,1),1269(a,1,1,1)),flip(a)]. 1284 (x * y) * K(L(y \ 1,y,x) \ 1,L(y \ 1,y,x)) = x * T(y,L(y \ 1,y,x)). [para(406(a,1),1270(a,1,2,1,2))]. 1285 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(744(a,1),1280(a,2,2))]. 1286 (T(1 / (x / y),z) * (x / y)) * y = T(y / x,z) * x. [para(12(a,1),974(a,2,1,1,1))]. 1287 ((x / y) * T((x / y) \ z,u)) * y = T((z * y) / x,u) * x. [para(417(a,1),974(a,1,1))]. 1288 (T(1 / (x / y),z) * (x / y)) * y = x * T(x \ y,z). [hyper(285,a,417,a(flip),b,1286,a),flip(a)]. 1289 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(417(a,1),1288(a,1,1))]. 1290 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(325(a,1),1289(a,1,1))]. 1291 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1110(a,2),1289(a,1,1))]. 1292 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(135,a,1291,a),flip(a)]. 1293 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(16(a,1),1292(a,1,1,2))]. 1294 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(25(a,2),1292(a,1,1,2,2))]. 1295 K(x \ (x / ((y \ x) / T(x,y))),x) = ((y \ x) * ((y \ x) \ x)) / T(x,y). [para(1050(a,1),1292(a,2,1,2))]. 1296 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(285,a,414,a(flip),b,1290,a),flip(a)]. 1297 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(118(a,1),1032(a,1,2)),flip(a)]. 1298 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(87(a,1),1297(a,1,2,1,1)),flip(a)]. 1299 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(14(a,1),1097(a,1,1)),flip(a)]. 1300 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(552,a,1299,a)]. 1301 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(380,a,1299,a),flip(a)]. 1302 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(122,a,152,a(flip),b,1299,a)]. 1303 (x \ ((y * x) / y)) / (x \ 1) = (y * x) / y. [hyper(135,a,1301,a)]. 1304 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(66,a,878,a,b,1301,a)]. 1306 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(691,a,1300,a),flip(a)]. 1308 (x / (x / y)) * (y * z) = y * ((x / (x / y)) * z). [hyper(66,a,182,a(flip),b,1098,a),flip(a)]. 1310 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [hyper(380,a,1308,a),flip(a)]. 1312 (1 / (1 / x)) * (x * (1 / x)) = x. [hyper(285,a,89,a(flip),b,1308,a),flip(a)]. 1313 (x / (x / y)) \ (y * z) = y * ((x / (x / y)) \ z). [hyper(122,a,152,a(flip),b,1308,a)]. 1314 (x * ((y / (y / x)) * z)) \ ((x * z) * (y / (y / x))) = K(x * z,y / (y / x)). [para(1308(a,1),21(a,2,1)),flip(a)]. 1315 (1 / (1 / x)) * K(x,1 / x) = x. [para(245(a,2),1312(a,1,2))]. 1316 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(66,a,1232,a(flip),b,1310,a)]. 1317 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(787,a,1170,a),flip(a)]. 1318 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [para(78(a,1),1172(a,2,2,1))]. 1319 x \ R(x * (y * (x \ 1)),z,u) = (x \ 1) * R(T(y,x \ 1),z,u). [para(27(a,2),1318(a,1,2,1)),flip(a)]. 1320 (x \ ((y * (x * z)) / y)) / (x \ 1) = (y * (z / (x \ 1))) / y. [hyper(123,a,1182,a(flip),b,798,a)]. 1321 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(66,a,1038,a(flip),b,1183,a),flip(a)]. 1322 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(12(a,1),1183(a,2,1,1,2))]. 1323 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(15(a,1),1321(a,1,1,1,2)),flip(a)]. 1324 R(T(x,x / (1 / y)),y,x) = (x * (x * y)) / (y * x). [para(1321(a,1),487(a,1,1))]. 1325 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [hyper(285,a,1223,a(flip),b,1324,a),flip(a)]. 1326 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(876,a,1322,a)]. 1327 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(90(a,1),1326(a,1,2,1,2))]. 1328 x \ y != ((z * (u \ 1)) / z) / (u \ 1) | x * (u * ((z * (u \ 1)) / z)) = y. [para(1327(a,1),578(a,2))]. 1329 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(417(a,1),1199(a,2,1))]. 1330 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(14(a,1),1230(a,1,1,2)),flip(a)]. 1331 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(550,a,1330,a)]. 1332 (x * ((y * z) / y)) / z = (x / z) * ((y * z) / y). [hyper(123,a,150,a(flip),b,1330,a)]. 1333 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1045(a,1),1330(a,1,1)),flip(a)]. 1334 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1))))) / y. [para(931(a,1),1332(a,1,1,2,1)),flip(a)]. 1335 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(293,a,1333,a),flip(a)]. 1336 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1015,a,1335,a)]. 1338 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(135,a,1336,a)]. 1340 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(66,a,1323,a,b,1338,a)]. 1341 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(14(a,1),1340(a,1,2,2,2)),flip(a)]. 1342 (x \ y) * T((x \ y) \ T(y,x),z) = x \ (y * T(x,z)). [para(210(a,1),1260(a,1,2,2,1)),flip(a)]. 1343 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * T(R(T(x,z),y,y \ z),u)). [para(680(a,1),1260(a,1,2,2,1)),flip(a)]. 1344 x * (T(y,x) * T(T(y,x) \ 1,z)) = (y * x) * T((y * x) \ x,z). [hyper(124,a,1110,a(flip),b,1279,a(flip))]. 1345 T((1 / x) \ (y / x),z) = (1 / x) \ (T(y,z) / x). [hyper(122,a,1283,a(flip),b,1265,a),flip(a)]. 1346 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1211(a,1),1345(a,1,1)),flip(a)]. 1347 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [hyper(185,a,1346,a)]. 1349 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1347(a,1),118(a,1,1)),flip(a)]. 1350 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1349(a,1),1115(a,1,1,1))]. 1351 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(285,a,417,a(flip),b,1287,a),flip(a)]. 1352 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(123,a,417,a(flip),b,1287,a)]. 1353 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(587(a,1),1317(a,1,1))]. 1354 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(66,a,830,a(flip),b,1329,a)]. 1355 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(66,a,684,a(flip),b,1329,a),flip(a)]. 1356 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(224,a,1329,a(flip),b,830,a(flip)),flip(a)]. 1357 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(12(a,1),1329(a,1,2,1,2))]. 1359 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(27(a,2),1356(a,1,2,1,2)),flip(a)]. 1360 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(122,a,1359,a,b,xx)]. 1361 (x \ 1) * T((x \ 1) \ T(K(x \ 1,x),x \ 1),y) = T((x \ 1) * T(x,y),x \ 1). [para(326(a,1),1359(a,1,1,2,1)),flip(a)]. 1362 T(x \ T(x * y,x),z) = x \ T(x * T(y,z),x). [para(14(a,1),1360(a,1,2,1,2,1)),flip(a)]. 1363 x * T(x \ T(y,x),z) != u | T(x * T(x \ y,z),x) = u. [para(1360(a,1),240(a,1,2)),flip(b)]. 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(66,a,830,a(flip),b,1357,a)]. 1365 T(x,x * T(x \ 1,y)) = x. [hyper(224,a,684,a(flip),b,1357,a(flip))]. 1366 K(x \ (x / T(y,z)),x) = z \ ((y * T(y \ 1,x)) * z). [para(1357(a,1),1279(a,2,2))]. 1367 T(x,(x \ 1) * x) = x. [para(116(a,1),1365(a,1,2))]. 1369 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),731(a,1,1))]. 1370 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(419(a,1),1365(a,1,2))]. 1371 T(x \ 1,x \ T(x,y)) = x \ 1. [para(883(a,1),1365(a,1,2))]. 1372 T(1 / x,T(x,y) / x) = 1 / x. [para(901(a,1),1365(a,1,2))]. 1373 R(x,x \ 1,x) = T(x,x \ 1). [para(1367(a,1),727(a,1,1))]. 1375 R(T(x,y),x \ 1,x) = T(T(x,x \ 1),y). [para(1373(a,1),32(a,2,1))]. 1376 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(57,a,1371,a)]. 1377 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1372(a,1),425(a,1,1,2)),flip(a)]. 1378 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1370(a,1),727(a,1,1))]. 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1376(a,1),699(a,1,1)),flip(a)]. 1380 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(285,a,698,a,b,1379,a)]. 1382 T(K(x,y),x \ 1) = K(x,y). [para(21(a,2),1380(a,2,1)),flip(a)]. 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(57,a,1382,a)]. 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [hyper(124,a,1382,a(flip),b,27,a(flip)),flip(a)]. 1385 T(T(x \ 1,y),K(x,z)) = T(x \ 1,y). [para(1383(a,1),28(a,1,1)),flip(a)]. 1386 K(x,y) * (x \ 1) != z | (x \ 1) * K(x,y) = z. [para(1383(a,1),263(a,1,2))]. 1387 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),419(a,1,2)),flip(a)]. 1388 ((x \ 1) \ 1) * K(x \ 1,x) = x. [hyper(66,a,860,a(flip),b,1384,a),flip(a)]. 1390 (x * T(x \ 1,y)) * y = x * ((y \ (x \ y)) * y). [para(116(a,1),1364(a,1,2)),flip(a)]. 1391 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = ((x \ 1) * T((x \ 1) \ 1,y)) * z. [para(1141(a,2),1364(a,1,2))]. 1392 x * T(y * T(y \ 1,x),x) = y * ((x \ (y \ x)) * x). [hyper(264,a,1390,a)]. 1393 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(135,a,1390,a)]. 1394 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = ((1 / x) * T((1 / x) \ 1,(y * x) \ y)) * ((y * x) \ y). [para(1136(a,1),1390(a,2,2,1,2)),flip(a)]. 1395 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1157(a,1),1393(a,1,1,2,1))]. 1396 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(285,a,27,a,b,1366,a)]. 1397 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [hyper(124,a,1366,a,b,xx),flip(a)]. 1399 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [hyper(285,a,1110,a(flip),b,1396,a)]. 1400 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(122,a,1396,a,b,1110,a(flip))]. 1401 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(325(a,1),1396(a,1,1)),flip(a)]. 1402 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(883(a,1),1396(a,1,1))]. 1403 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1281(a,2),1396(a,1,1)),flip(a)]. 1404 T(K(x,y),L(x \ 1,x,y) \ z) = K(y \ (y / ((L(x \ 1,x,y) \ z) \ z)),y). [para(117(a,1),1403(a,1,1,2,2)),flip(a)]. 1405 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(285,a,15,a(flip),b,1387,a),flip(a)]. 1407 T(x,K(x \ 1,y)) = x. [hyper(134,a,1405,a)]. 1408 K(x \ 1,y) * x = x * K(x \ 1,y). [hyper(124,a,1407,a(flip),b,27,a(flip))]. 1410 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(263,a,1399,a),flip(a)]. 1411 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1371(a,1),1400(a,1,2,1,2)),flip(a)]. 1412 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [hyper(123,a,830,a(flip),b,1351,a)]. 1413 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [hyper(123,a,829,a(flip),b,1351,a),flip(a)]. 1414 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [hyper(123,a,116,a(flip),b,1351,a),flip(a)]. 1415 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1205(a,1),1352(a,1,1,2,1)),flip(a)]. 1416 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(15(a,1),1354(a,1,2,2,1,2,2))]. 1417 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(17(a,1),1354(a,1,2,2,1,2,2)),flip(a)]. 1418 (x \ 1) * (y * T(y \ ((x \ 1) \ (K(x \ 1,x) * y)),z)) = ((x \ 1) * T(x,z)) * y. [para(326(a,1),1354(a,2,1,2,1))]. 1419 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1354(a,1,2,2,1,2)),flip(a)]. 1420 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(15(a,1),1411(a,2,2,1))]. 1422 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(188(a,1),1420(a,2,2))]. 1423 T(x \ T(x,y),T(x,z) \ 1) = x \ T(x,y). [hyper(57,a,1422,a)]. 1425 K(x \ T(x,y),T(x,z) \ 1) = 1. [hyper(58,a,1423,a)]. 1426 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(116(a,1),1417(a,1,1)),flip(a)]. 1427 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(838(a,1),1417(a,1,1)),flip(a)]. 1428 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1076(a,2),1417(a,1,1))]. 1429 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(66,a,830,a,b,1426,a)]. 1430 ((x \ ((x * y) / z)) * x) * z = x * (z * T(z \ y,x)). [para(14(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1431 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(79(a,1),1426(a,1,2,2,1,2)),flip(a)]. 1432 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1140(a,2),1426(a,1,2)),flip(a)]. 1433 x * (x * T(x \ T(y,x),x)) = ((x \ y) * x) * x. [para(209(a,1),1430(a,1,1,1,2)),flip(a)]. 1434 x * ((x \ T(y,x)) * x) = ((x \ y) * x) * x. [para(116(a,1),1433(a,1,2))]. 1435 T((x \ y) * x,x) = (x \ T(y,x)) * x. [hyper(225,a,1434,a)]. 1436 T((x \ y) * x,x) / x = x \ T(y,x). [hyper(123,a,1435,a,b,xx)]. 1437 T(x,y) \ T((y \ x) * y,y) = K(y \ T(x,y),y). [hyper(122,a,1435,a,b,271,a)]. 1438 x * (T((x \ y) * x,x) / x) = T(y,x). [hyper(124,a,1436,a,b,xx)]. 1440 x \ T(x * (y / x),x) = T(y,x) / x. [para(91(a,1),1436(a,1,1,1)),flip(a)]. 1442 x * (T(y * x,x) / x) = T(x * y,x). [para(14(a,1),1438(a,1,2,1,1,1))]. 1443 T(x * (y / x),x) = x * (T(y,x) / x). [para(91(a,1),1438(a,1,2,1,1)),flip(a)]. 1445 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(896(a,1),1442(a,1,2)),flip(a)]. 1447 (x \ 1) * (T(x \ R(x,y,z),x \ 1) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1150(a,1),1442(a,1,2,1,1))]. 1448 T(x * y,x) \ T(y * x,x) = K(x \ T(x * y,x),x). [para(14(a,1),1437(a,1,2,1,1))]. 1449 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(285,a,1354,a(flip),b,1445,a),flip(a)]. 1450 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(85(a,1),1432(a,1,1,1,2)),flip(a)]. 1452 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(243(a,2),1450(a,2,1))]. 1453 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(14(a,1),1452(a,1,2,2)),flip(a)]. 1454 x * (K(x \ 1,x) * T(y,x)) = K(x \ 1,x) * (y * x). [para(27(a,2),1452(a,1,2,2))]. 1455 (K(x \ 1,x) * y) \ (x * (K(x \ 1,x) * y)) = L(T(x,y),y,K(x \ 1,x)). [para(1453(a,1),216(a,1,2))]. 1456 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),1428(a,2,2,2,1,2))]. 1458 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(325(a,1),1456(a,2,2))]. 1460 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(788(a,1),1458(a,1,1,1))]. 1462 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(582(a,1),213(a,1,1))]. 1463 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(15(a,1),1462(a,1,1,2))]. 1464 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(123,a,575,a(flip),b,781,a)]. 1465 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(12(a,1),1464(a,1,1,1))]. 1466 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(17(a,1),1464(a,1,1,1)),flip(a)]. 1467 K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(1465(a,1),1114(a,1,1,2))]. 1468 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [hyper(124,a,810,a(flip),b,104,a),flip(a)]. 1469 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),816(a,1,2,1))]. 1470 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(357(a,1),964(a,1,2))]. 1471 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [hyper(185,a,1470,a)]. 1472 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(66,a,719,a(flip),b,1087,a),flip(a)]. 1473 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(87(a,1),1472(a,1,2)),flip(a)]. 1474 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [hyper(578,a,1473,a(flip))]. 1476 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(224,a,1474,a,b,15,a)]. 1478 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(357(a,1),1133(a,1,1)),flip(a)]. 1479 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(138,a,1478,a)]. 1481 (1 / ((x * y) \ x)) * ((x \ (x * y)) * ((x * y) \ x)) = y. [hyper(285,a,14,a(flip),b,1479,a),flip(a)]. 1482 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(224,a,1479,a,b,15,a)]. 1483 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(14(a,1),1481(a,1,2,1))]. 1484 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(420(a,1),1369(a,1,2)),flip(a)]. 1485 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(420(a,1),1484(a,1,2)),flip(a)]. 1486 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1485(a,1),36(a,1,1)),flip(a)]. 1487 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1485(a,1),1168(a,1,1))]. 1488 ((x \ (y / (x \ z))) * x) * (x \ z) = T(y / z,x) * z. [para(15(a,1),716(a,2,1,1,2))]. 1489 ((x \ (y / (x \ z))) * x) * (x \ z) = z * T(z \ y,x). [hyper(285,a,417,a(flip),b,1488,a),flip(a)]. 1490 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(16(a,1),1489(a,1,1,1,2))]. 1491 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [hyper(861,a,1490,a)]. 1492 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(815,a,1039,a)]. 1493 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(798(a,1),1492(a,1,1))]. 1494 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1000(a,1),1493(a,1,1,2,1))]. 1495 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),941(a,1,1))]. 1496 (L((x / y) / z,u,w) * z) * y = (z * y) * L((z * y) \ x,u,w). [hyper(285,a,587,a(flip),b,944,a),flip(a)]. 1497 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(796,a,945,a)]. 1498 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(815,a,1040,a)]. 1499 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1301(a,1),1498(a,1,1))]. 1500 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(135,a,1499,a)]. 1502 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(209(a,1),1499(a,1,1,2)),flip(a)]. 1503 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1500(a,1),912(a,1,3)),flip(a)]. 1504 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1093(a,1),391(a,1))]. 1505 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(90(a,1),1128(a,1,2)),flip(a)]. 1506 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(12(a,1),1505(a,2,1,1))]. 1507 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(128,a,1144,a)]. 1508 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(15(a,1),1145(a,2,2,1,2))]. 1509 L(T(x,y),y,R(x,z,u)) = T(x,R(x,z,u) * y). [hyper(308,a,1155,a),flip(a)]. 1510 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(128,a,1171,a)]. 1511 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(12(a,1),1173(a,2,1,1,1))]. 1512 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(285,a,593,a(flip),b,1511,a),flip(a)]. 1513 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(593(a,1),1512(a,1,1))]. 1514 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(135,a,1513,a),flip(a)]. 1515 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1514(a,1,1)),flip(a)]. 1516 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1049,a,1177,a)]. 1517 (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1177(a,1,1))]. 1518 x \ y != z * ((x * (z \ 1)) / x) | T(x,x / (x * z)) = y. [para(1516(a,1),50(a,1)),flip(a)]. 1519 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1516(a,2),1493(a,1,1)),flip(a)]. 1520 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(128,a,1180,a)]. 1521 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(308,a,1248,a),flip(a)]. 1522 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1521(a,1),222(a,1,2))]. 1523 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [hyper(427,a,1522,a)]. 1524 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(87(a,1),1298(a,1,1,1)),flip(a)]. 1526 ((x \ y) \ y) * (x \ (T(x,z) \ 1)) = x \ (T(x,z) \ ((x \ y) \ y)). [para(1524(a,1),1065(a,1,2)),flip(a)]. 1527 x \ R(x * (y * (x \ 1)),z,u) = R(y,z,u) * (x \ 1). [hyper(285,a,223,a(flip),b,1319,a),flip(a)]. 1528 x \ R(x * (x \ T(y,x \ 1)),z,u) = R((x \ 1) \ (x \ y),z,u) * (x \ 1). [para(915(a,1),1527(a,1,2,1,2))]. 1529 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(231(a,1),1487(a,1,2))]. 1530 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [para(16(a,1),1496(a,1,1,1,1,1)),flip(a)]. 1531 (x * L(x \ (y / z),u,w)) * z = (x * z) * L((x * z) \ y,u,w). [para(587(a,1),1496(a,1,1))]. 1532 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(593(a,1),1497(a,2,1))]. 1533 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(13(a,1),1507(a,1,2,2,1,2)),flip(a)]. 1534 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). [para(23(a,2),1533(a,1,1)),flip(a)]. 1535 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(13(a,1),1510(a,1,2,2,1,2)),flip(a)]. 1536 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(15(a,1),1520(a,1,2,2,1))]. 1537 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(434,a,1536,a)]. 1538 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1536(a,1),434(a,1))]. 1539 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(285,a,1304,a(flip),b,1537,a),flip(a)]. 1540 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(87(a,1),1537(a,1,2,1)),flip(a)]. 1541 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(907(a,1),1537(a,1,2)),flip(a)]. 1542 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(954(a,1),1537(a,1,2)),flip(a)]. 1543 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1347(a,1),1537(a,1,2)),flip(a)]. 1544 K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),1539(a,2,2,1))]. 1545 T(x,x / (x * (y \ x))) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,1516,a),flip(a)]. 1546 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1545(a,1,2))]. 1547 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(16(a,1),1546(a,2,2,2))]. 1548 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(419(a,2),1541(a,1,2,1))]. 1549 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(14(a,1),1530(a,1,2,1)),flip(a)]. 1550 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(587(a,1),1530(a,2,1))]. 1551 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(588(a,1),1549(a,1,1))]. 1552 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(550,a,1551,a)]. 1553 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(525,a,1551,a),flip(a)]. 1554 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(517,a,1551,a)]. 1555 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(128,a,1551,a)]. 1556 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(123,a,150,a(flip),b,1551,a)]. 1557 (x * (y * L(x,z,u))) \ ((y * x) * L(x,z,u)) = K(y * L(x,z,u),x). [hyper(122,a,1551,a(flip),b,96,a)]. 1559 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1551(a,1),310(a,1,1))]. 1560 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(224,a,1553,a,b,15,a)]. 1562 R(1 / L(x,y,z),x,x \ 1) = (x / L(x,y,z)) * (x \ 1). [para(1553(a,1),355(a,1,1)),flip(a)]. 1563 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1554(a,1),297(a,1,2)),flip(b)]. 1564 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(178(a,1),1554(a,1,1,1)),flip(a)]. 1565 ((x * (y / z)) * z) \ ((x * y) * z) = L(z,y / z,x). [para(499(a,1),1554(a,1,1,1))]. 1567 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1555(a,1),981(a,1,1)),flip(a)]. 1568 T((x / y) * L(y,z,u),y) = y \ (x * L(y,z,u)). [para(1556(a,1),118(a,1,1))]. 1569 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1556(a,1,1)),flip(a)]. 1570 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1560(a,1),231(a,1,1))]. 1571 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [hyper(124,a,1567,a(flip),b,589,a)]. 1573 ((x * (y * z)) / z) / L(z,y,x) = (x * y) / z. [hyper(135,a,1569,a)]. 1574 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(128,a,1569,a),flip(a)]. 1575 (x * y) / L(z,y,R(x,y,z)) = (R(x,y,z) * y) / z. [hyper(123,a,460,a(flip),b,1569,a)]. 1577 L(x,y,z) \ ((z * (y * x)) / x) != u | T((z * y) / x,L(x,y,z)) = u. [para(1569(a,1),308(a,1,2))]. 1578 ((x * (y / z)) / z) \ ((x * y) / z) = L(z,y / z,x). [para(17(a,1),1574(a,2,2,1,2)),flip(a)]. 1579 T(x,y) \ ((x * y) * L(x,z,u)) = T(y * L(x,z,u),T(x,y)). [hyper(224,a,1571,a,b,15,a),flip(a)]. 1580 ((x * y) * L(x,z,u)) / T(x,y) = y * L(x,z,u). [hyper(135,a,1571,a)]. 1581 (x * L(y,z,u)) / T(y,y \ x) = (y \ x) * L(y,z,u). [hyper(123,a,151,a(flip),b,1571,a)]. 1583 a(1 / x,x / y,y) \ (((1 / x) * x) * y) = L(y,x / y,1 / x). [para(865(a,1),1565(a,1,1))]. 1584 R(1 / L(x,y,z),x,x \ 1) != u * (x \ 1) | x / L(x,y,z) = u. [para(1562(a,2),47(a,1))]. 1585 (x * (y * L(y \ (x \ z),u,w))) / y = x * L(x \ (z / y),u,w). [hyper(123,a,938,a(flip),b,1531,a)]. 1586 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(85(a,1),1531(a,1,1,2,1,2)),flip(a)]. 1588 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(66,a,938,a(flip),b,1586,a)]. 1589 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(66,a,937,a(flip),b,1586,a)]. 1590 T(x,x * L(x \ 1,y,z)) = x. [hyper(224,a,823,a(flip),b,1586,a(flip))]. 1591 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(224,a,1586,a(flip),b,446,a(flip))]. 1593 K(x,x * L(x \ 1,y,z)) = 1. [hyper(58,a,1590,a)]. 1594 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(357(a,1),1590(a,1,2,2))]. 1595 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1080(a,1),1590(a,1,2))]. 1596 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1506(a,1),1590(a,1,2))]. 1597 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1242(a,2),1595(a,1,2))]. 1598 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1596(a,1),425(a,1,1,2)),flip(a)]. 1599 T(x \ (x / y),(x \ (x / y)) * y) = x \ (x / y). [para(90(a,1),1594(a,1,2,2))]. 1600 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1594(a,1),667(a,1,2)),flip(a)]. 1601 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1597(a,1),727(a,1,1))]. 1602 T((x \ (x / y)) * y,x \ (x / y)) = (x \ (x / y)) * y. [hyper(57,a,1599,a)]. 1603 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(38,a,778,a,b,1600,a),flip(a)]. 1604 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(123,a,1508,a(flip),b,1588,a(flip)),flip(a)]. 1605 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). [para(25(a,2),1604(a,1,1)),flip(a)]. 1606 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(66,a,941,a(flip),b,1532,a)]. 1607 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(224,a,1532,a(flip),b,1171,a),flip(a)]. 1608 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(224,a,1532,a(flip),b,941,a(flip)),flip(a)]. 1609 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(122,a,1532,a(flip),b,1171,a),flip(a)]. 1610 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(12(a,1),1532(a,1,2,1,2))]. 1611 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1532(a,1,2,1)),flip(a)]. 1613 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = (R(x,y,z) * z) * R(L(T(y,z),z,R(x,y,z)),u,w). [para(663(a,1),1532(a,1,2,1)),flip(a)]. 1614 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(14(a,1),1611(a,1,1,2,1))]. 1616 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(525,a,1614,a),flip(a)]. 1617 ((x / R(y,z,u)) * y) \ (x * y) = R(y,z,u). [hyper(517,a,1614,a)]. 1619 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(128,a,1614,a)]. 1620 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(123,a,150,a(flip),b,1614,a)]. 1621 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(123,a,88,a(flip),b,1614,a),flip(a)]. 1622 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(122,a,150,a(flip),b,1614,a)]. 1623 (x * T(y,x)) * R(T(y,x),z,u) = (R(y,z,u) * x) * T(y,x). [para(223(a,1),1614(a,1,1)),flip(a)]. 1624 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(828,a,1621,a)]. 1625 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(224,a,1621,a,b,15,a),flip(a)]. 1626 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1621(a,1),225(a,2)),flip(a)]. 1627 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1621(a,1),105(a,2,1))]. 1628 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1617(a,1),297(a,1,2)),flip(b)]. 1630 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1619(a,1),981(a,1,1)),flip(a)]. 1631 (x * T(x \ (x * y),z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(1619(a,1),1329(a,1,2,1)),flip(a)]. 1632 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = T(y / x,x). [hyper(66,a,837,a(flip),b,1630,a)]. 1633 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [hyper(124,a,1630,a(flip),b,589,a)]. 1634 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1630(a,1),223(a,1,2)),flip(a)]. 1635 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(796,a,1624,a)]. 1636 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(123,a,81,a(flip),b,1633,a)]. 1638 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(627,a,1636,a)]. 1639 R(R(x,y,z),T(1 / x,R(x,y,z)),x) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1625(a,1),656(a,1,1,2))]. 1640 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(27(a,2),1608(a,1,2,1,2)),flip(a)]. 1641 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(123,a,1640,a,b,593,a)]. 1642 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(122,a,1640,a,b,xx)]. 1643 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(188(a,1),1640(a,2,2,1,2))]. 1644 T(x,x * R(x \ 1,y,z)) = x. [hyper(57,a,1643,a)]. 1645 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1643(a,1),1443(a,2,2,1))]. 1646 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(90(a,1),1644(a,1,2,2,1))]. 1647 T(x,(y / (x * y)) * x) = x. [para(607(a,2),1644(a,1,2))]. 1648 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(595(a,1),1644(a,1,2))]. 1649 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1158(a,1),1644(a,1,2))]. 1650 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1647(a,1),1026(a,1,1,1)),flip(a)]. 1651 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(57,a,1649,a)]. 1652 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1649(a,1),28(a,1,1)),flip(a)]. 1653 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1646(a,1),669(a,1,1,2))]. 1654 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1648(a,1),727(a,1,1))]. 1655 T(x \ 1,R(x,y,z)) \ T((x \ 1) * R(x,y,z),x \ 1) = T(R(x,y,z),x \ 1). [para(1654(a,1),1169(a,1,1))]. 1656 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(14(a,1),1641(a,1,1,1,2,1)),flip(a)]. 1658 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(66,a,941,a(flip),b,1610,a)]. 1659 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [hyper(66,a,940,a(flip),b,1610,a)]. 1661 (R(x,y,z) * u) * T(x,u) = (x * u) * R(T(x,u),y,z). [para(116(a,1),1623(a,1,1)),flip(a)]. 1662 (x * R(y / x,z,u)) \ (y * R(y / x,z,u)) = x \ y. [hyper(285,a,118,a(flip),b,1632,a),flip(a)]. 1663 (x * R(y / x,z,u)) * (x \ y) = y * R(y / x,z,u). [hyper(124,a,118,a(flip),b,1632,a)]. 1664 (x * (y / (x * y))) * (x \ 1) = 1 * R(1 / x,x,y). [para(205(a,1),1663(a,1,1,2))]. 1665 (x * (y / (x * y))) * (x \ 1) = R(1 / x,x,y). [hyper(285,a,12,a(flip),b,1664,a),flip(a)]. 1666 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [para(15(a,1),1665(a,1,1,2,2))]. 1667 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(66,a,938,a(flip),b,1550,a)]. 1668 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(66,a,823,a(flip),b,1550,a),flip(a)]. 1669 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(224,a,1550,a(flip),b,938,a(flip)),flip(a)]. 1671 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(27(a,2),1669(a,1,2,1,2)),flip(a)]. 1672 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(122,a,1671,a,b,xx)]. 1673 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(14(a,1),1672(a,1,2,1,2,1)),flip(a)]. 1674 a(1 / x,x / y,y) \ y = L(y,x / y,1 / x). [para(88(a,1),1583(a,1,2))]. 1675 (x / y) * L((x / y) \ (z / y),u,w) = (x * L(x \ z,u,w)) / y. [para(1508(a,1),1585(a,1,1)),flip(a)]. 1676 (x * T(y,z)) * R(y,u,w) = (x * R(y,u,w)) * T(y,z). [para(14(a,1),1631(a,1,1,2,1))]. 1677 (x * T(y,z)) / R(y,u,w) = (x / R(y,u,w)) * T(y,z). [hyper(123,a,150,a(flip),b,1676,a)]. 1678 (x / R(y,z,u)) * T(y,x) = (y * x) / R(y,z,u). [para(116(a,1),1677(a,1,1)),flip(a)]. 1679 T(x,y) \ ((x * y) / R(x,z,u)) = T(y / R(x,z,u),T(x,y)). [hyper(224,a,1678,a,b,15,a),flip(a)]. 1681 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(601(a,1),1650(a,1,2))]. 1682 (x * L(x \ (y * x),z,u)) / y = (x / y) * L(T(y,x),z,u). [para(748(a,2),1675(a,1,2,1)),flip(a)]. 1683 (x / y) * L(T(y,x),z,u) = (L(y,z,u) * x) / y. [para(585(a,1),1682(a,1,1)),flip(a)]. 1684 (L(x,y,z) * (u * x)) / x = u * L(T(x,u * x),y,z). [para(16(a,1),1683(a,1,1)),flip(a)]. 1685 T(x * L(T(y,x * y),z,u),y) = y \ (L(y,z,u) * (x * y)). [para(1684(a,1),118(a,1,1))]. 1686 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * (y \ (x * y)). [hyper(285,a,1240,a(flip),b,1685,a),flip(a)]. 1687 T(x * L(T(y,x * y),z,u),y) = L(y,z,u) * T(x,y). [para(27(a,2),1686(a,2,2))]. 1688 ((x * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = R(x,R(y,y \ z,u),(y \ z) * u). [para(15(a,1),470(a,1,2,1))]. 1689 ((T(x,y) * (x \ 1)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(1375(a,1),484(a,1,2,3))]. 1690 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(814(a,1),877(a,1,1))]. 1691 ((x * ((y / T(y,z)) * ((1 / T(y,z)) \ 1))) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(1211(a,1),1690(a,2,2,1,2))]. 1692 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(32(a,2),1056(a,1,1,1))]. 1693 ((x \ ((x * y) / z)) * x) * z != u | x * (z * T(z \ y,x)) = u. [para(1429(a,1),1072(a,1))]. 1694 (1 / x) \ K(1 / (1 / x),y) = K(1 / (1 / x),y) * x. [hyper(66,a,978,a(flip),b,1188,a),flip(a)]. 1695 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(242(a,1),1395(a,1,1))]. 1696 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(491(a,1),1494(a,2,2))]. 1697 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(12(a,1),1696(a,2,2,1))]. 1698 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(464(a,1),1692(a,1,1))]. 1699 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(355(a,1),1698(a,1,2))]. 1700 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1699(a,1),28(a,1,1)),flip(a)]. 1701 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(1225(a,1),1700(a,1,1))]. 1702 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(17(a,1),1701(a,1,1)),flip(a)]. 1703 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(488(a,1),1702(a,2,2))]. 1704 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(17(a,1),1703(a,1,1))]. 1705 T(x,x * (y \ 1)) = T(x,y \ x). [para(118(a,1),1704(a,1,2)),flip(a)]. 1706 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(746(a,1),1119(a,1,2,1))]. 1707 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [hyper(138,a,1706,a)]. 1708 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(66,a,1262,a(flip),b,1707,a),flip(a)]. 1709 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1653(a,1),1161(a,1,1))]. 1710 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(66,a,232,a(flip),b,1709,a)]. 1711 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1027(a,1),1184(a,2,2))]. 1712 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(21(a,2),1711(a,1,2,1)),flip(a)]. 1713 (x * y) * K(z \ (z / K(y,x)),z) = (y * x) * T(K(x,y),z). [para(21(a,2),1271(a,1,2,1)),flip(a)]. 1714 (x * y) * (K(y,x) * T(K(y,x) \ 1,z)) = (y * x) * T(K(x,y),z). [para(1110(a,1),1713(a,1,2))]. 1715 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(y,x) \ 1,z). [hyper(128,a,1714,a)]. 1716 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1594(a,1),1278(a,2,2,2))]. 1717 K(x \ (x / ((y \ x) / T(x,y))),x) = x / T(x,y). [para(15(a,1),1295(a,2,1))]. 1718 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(128,a,1468,a)]. 1719 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1537(a,2),1468(a,1,2))]. 1720 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(13(a,1),1719(a,2,2,1,2,2))]. 1721 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(27(a,2),1720(a,1,2,2,1,2)),flip(a)]. 1722 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1029(a,1),1543(a,1,2,1))]. 1723 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1586(a,1),1589(a,1,2)),flip(a)]. 1724 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1080(a,1),1723(a,1,1)),flip(a)]. 1725 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1607(a,1,1))]. 1726 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(27(a,2),1725(a,1,2,1,1))]. 1727 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(14(a,1),1726(a,2,1,2,1))]. 1728 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(600(a,1),1645(a,2,2))]. 1729 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(600(a,1),1728(a,1,1,2))]. 1730 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(205(a,1),1729(a,1,1,2))]. 1731 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(205(a,1),1730(a,2,2))]. 1732 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(66,a,1681,a,b,1731,a)]. 1733 T(x,x * (y / (x * y))) = x. [hyper(57,a,1731,a)]. 1734 T(x,x * ((x \ y) / y)) = x. [para(15(a,1),1733(a,1,2,2,2))]. 1735 T(x / y,(x / y) * (y / x)) = x / y. [para(17(a,1),1733(a,1,2,2,2))]. 1736 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1734(a,1),282(a,1,1)),flip(a)]. 1737 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1735(a,1),231(a,1,1)),flip(a)]. 1738 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(285,a,118,a(flip),b,1737,a),flip(a)]. 1739 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1738(a,1),1293(a,2,1,2))]. 1740 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1736(a,1),1293(a,2,1,2))]. 1741 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1610(a,1),1659(a,1,2)),flip(a)]. 1742 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1158(a,1),1741(a,1,1)),flip(a)]. 1743 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(823(a,1),1668(a,1,1))]. 1744 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(123,a,150,a(flip),b,1743,a)]. 1745 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(356(a,1),1743(a,1,1,2,2)),flip(a)]. 1746 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(356(a,1),1745(a,1,2,2)),flip(a)]. 1747 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(285,a,238,a(flip),b,1716,a),flip(a)]. 1749 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1747(a,1),1124(a,1,1)),flip(a)]. 1750 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(66,a,1482,a(flip),b,1749,a)]. 1751 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(391,a,1750,a)]. 1752 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(14(a,1),1750(a,1,1,2))]. 1753 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1751(a,1),1533(a,1,2)),flip(a)]. 1754 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(14(a,1),1752(a,2,2))]. 1755 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [hyper(185,a,1754,a)]. 1756 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [hyper(138,a,1754,a)]. 1757 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1755(a,1),1120(a,2,1,1,2)),flip(a)]. 1758 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(203(a,2),1756(a,1,1,1)),flip(a)]. 1759 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(123,a,203,a,b,1758,a(flip))]. 1760 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [para(13(a,1),1718(a,1,2,2,1,2,2)),flip(a)]. 1761 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(15(a,1),1739(a,2,1))]. 1762 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(285,a,85,a(flip),b,1761,a),flip(a)]. 1764 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(285,a,413,a(flip),b,750,a),flip(a)]. 1765 T(x,x * (y * T(y \ 1,x))) = x. [para(1764(a,1),258(a,1,2))]. 1766 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1764(a,1),1301(a,1,1)),flip(a)]. 1767 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1764(a,1),1327(a,1,2)),flip(a)]. 1768 T(x,x * K(y,x)) = x. [para(1266(a,2),1765(a,1,2,2))]. 1769 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1262(a,1),1765(a,1,2,2))]. 1770 T(x * K(y,x),x) = x * K(y,x). [hyper(57,a,1768,a)]. 1771 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1050(a,1),1769(a,1,2,2,2,2))]. 1772 T(x,x * (T(x,y) \ x)) = x. [para(15(a,1),1771(a,1,2,2,2))]. 1773 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(1772(a,1),28(a,1,1)),flip(a)]. 1774 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(66,a,1019,a(flip),b,1773,a)]. 1775 (x * x) / T(x,y) = x * (T(x,y) \ x). [hyper(185,a,1774,a)]. 1777 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1502(a,1),1774(a,1,1,2,1))]. 1778 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1214,a,1775,a)]. 1779 (x / T(x,y)) * x = x * (T(x,y) \ x). [hyper(66,a,1201,a(flip),b,1775,a)]. 1780 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1775(a,2),670(a,1,2))]. 1781 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(1778(a,1),417(a,1,1)),flip(a)]. 1782 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(411(a,1),794(a,1,1)),flip(a)]. 1783 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(66,a,1377,a(flip),b,911,a)]. 1785 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1783(a,1),638(a,1,1))]. 1786 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(66,a,232,a(flip),b,1785,a),flip(a)]. 1787 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1786(a,1),1541(a,1,2))]. 1788 x * T(T(x \ (y * x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(973(a,1),1193(a,1,2))]. 1789 x * T(T(T(y,x),z),u) = y * (T(T(y,z),u) * (y \ x)). [para(27(a,2),1788(a,1,2,1,1))]. 1790 x * (T(T(x,y),z) * (x \ u)) = T(T(x,y),z) * u. [hyper(66,a,415,a(flip),b,1789,a),flip(a)]. 1791 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(357(a,1),1254(a,1,2,2))]. 1792 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [hyper(138,a,1791,a)]. 1793 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(1792(a,1),878(a,1,2,1))]. 1794 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(1792(a,1),1537(a,2,2,1)),flip(a)]. 1795 L(T(x,y),y,K(x \ 1,x)) = T(x,K(x \ 1,x) * y). [hyper(308,a,1455,a),flip(a)]. 1796 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(285,a,1502,a(flip),b,1777,a),flip(a)]. 1797 (T(x,y) * (L(x,z,u) * y)) \ ((y * L(T(x,y),z,u)) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(1571(a,2),584(a,1,2))]. 1798 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(116(a,1),819(a,1,2,1,1)),flip(a)]. 1799 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(224,a,1610,a(flip),b,1798,a),flip(a)]. 1800 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(608,a,1799,a),flip(a)]. 1801 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = T(x \ 1,x \ L(x,u,w)) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1799(a,1,2,1,1)),flip(a)]. 1802 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(886(a,1),1800(a,2,1,2))]. 1803 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1378(a,1),1802(a,1,1,2)),flip(a)]. 1804 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(38,a,1410,a(flip),b,1803,a),flip(a)]. 1806 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(1804(a,1),118(a,1,1))]. 1807 K(x \ T(x,y),(x \ 1) / (x \ T(x,z))) = 1. [para(1804(a,2),1425(a,1,2))]. 1808 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(66,a,1422,a(flip),b,1806,a),flip(a)]. 1810 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(15(a,1),1163(a,1,2,1)),flip(a)]. 1811 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(118(a,1),1810(a,1,1)),flip(a)]. 1812 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(118(a,1),1811(a,1,2)),flip(a)]. 1813 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(14(a,1),1812(a,1,1)),flip(a)]. 1814 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(14(a,1),1813(a,1,2)),flip(a)]. 1815 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(15(a,1),1253(a,1,2,1)),flip(a)]. 1816 L(x / y,z,u) \ T(x / y,y) = (y \ x) * (L(x / y,z,u) \ 1). [para(118(a,1),1815(a,1,1)),flip(a)]. 1817 (x \ y) * (L(y / x,z,u) \ 1) = L(y / x,z,u) \ (x \ y). [para(118(a,1),1816(a,1,2)),flip(a)]. 1818 L(x / (x / y),z,u) \ ((x / y) \ x) = y * (L(x / (x / y),z,u) \ 1). [hyper(66,a,182,a(flip),b,1817,a),flip(a)]. 1822 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(883(a,1),1391(a,2,1))]. 1823 (x \ T(x,y)) * ((x \ 1) \ ((x \ 1) / (x \ T(x,y)))) = K(x \ T(x,y),(x \ 1) / (x \ T(x,y))). [hyper(37,a,272,a,b,1822,a),flip(a)]. 1824 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(15(a,1),1463(a,1,2,2)),flip(a)]. 1825 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(15(a,1),1824(a,1,3,2)),flip(a)]. 1827 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(224,a,1531,a,b,1469,a(flip))]. 1828 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(224,a,1550,a(flip),b,1469,a(flip)),flip(a)]. 1829 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(13(a,1),1469(a,1,2,1,2)),flip(a)]. 1830 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(224,a,1586,a(flip),b,1829,a),flip(a)]. 1831 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(1830(a,1),46(a,1))]. 1832 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(203(a,1),1830(a,1,2)),flip(a)]. 1833 T(x \ y,z) * L(T(x \ y,z) \ 1,x \ y,x) = T((x \ y) * (y \ (x * 1)),z). [para(453(a,1),1830(a,2,1,2))]. 1834 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(903(a,1),1832(a,2,2,1))]. 1835 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1787(a,1),1834(a,1,1)),flip(a)]. 1836 R((x \ 1) \ (x \ y),z,u) * (x \ 1) = x \ R(T(y,x \ 1),z,u). [para(15(a,1),1528(a,1,2,1)),flip(a)]. 1837 (x \ R(T(y,x \ 1),z,u)) / (x \ 1) = R((x \ 1) \ (x \ y),z,u). [hyper(135,a,1836,a)]. 1839 R((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ R(y,z,u)). [hyper(66,a,927,a(flip),b,1837,a),flip(a)]. 1840 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(595(a,1),1609(a,2,2,1))]. 1841 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(207(a,1),1740(a,2,1))]. 1842 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(285,a,85,a(flip),b,1841,a),flip(a)]. 1844 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(1842(a,1),1124(a,1,1)),flip(a)]. 1845 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(66,a,1476,a(flip),b,1844,a)]. 1846 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(90(a,1),1845(a,1,1,2,1))]. 1847 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(90(a,1),1846(a,2,2,1))]. 1848 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [hyper(138,a,1847,a)]. 1850 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(1847(a,1),1762(a,1,1))]. 1851 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(16(a,1),1850(a,1,1,2))]. 1852 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(123,a,16,a(flip),b,1848,a),flip(a)]. 1853 K(1 / x,(y / (x * y)) * x) = 1. [para(16(a,1),1851(a,1,2,2))]. 1854 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(59,a,1853,a)]. 1855 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1504,a,1854,a)]. 1856 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [hyper(124,a,1854,a(flip),b,1093,a)]. 1857 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(205(a,2),1855(a,1,3))]. 1858 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(1857(a,1),359(a,1,2))]. 1859 L(x \ 1,x,x \ 1) = 1 / x. [para(366(a,1),1857(a,1,3))]. 1860 L(T(x \ 1,y),x,x \ 1) = T(1 / x,y). [para(1859(a,1),30(a,2,1))]. 1861 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1859(a,1),35(a,1,1)),flip(a)]. 1862 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1859(a,1),359(a,1,2))]. 1863 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1859(a,1),1353(a,1,1,2)),flip(a)]. 1864 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1859(a,1),1588(a,2,1,2))]. 1865 T(1 / (1 / x),x \ 1) = x. [hyper(1235,a,1862,a)]. 1866 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(285,a,243,a,b,1862,a),flip(a)]. 1867 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1862(a,2),339(a,1))]. 1869 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1865(a,1),28(a,1,1)),flip(a)]. 1870 T(x,y \ 1) != T(y,z) | T(1 / (1 / y),z) = x. [para(1865(a,1),142(a,1,1)),flip(a)]. 1871 T(x,x \ 1) / x = K(x,x \ 1). [para(1865(a,1),1237(a,1,1)),flip(a)]. 1872 K(x \ 1,x) * (1 / x) = x \ 1. [hyper(136,a,1866,a)]. 1873 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(66,a,1316,a(flip),b,1866,a)]. 1874 x * K(x \ 1,x) = 1 / (1 / x). [hyper(124,a,1866,a(flip),b,1316,a(flip))]. 1875 K(x \ 1,x) * ((1 / x) * T((1 / x) \ 1,y)) = (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y). [para(1866(a,1),841(a,1,1))]. 1876 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(117(a,1),1871(a,1,1))]. 1877 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1872(a,1),103(a,1,1))]. 1878 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ (1 / (1 / L(x \ 1,x,y))). [hyper(66,a,358,a(flip),b,1873,a),flip(a)]. 1880 L(x,x \ 1,x) = 1 / (1 / x). [hyper(776,a,1874,a)]. 1881 K(x \ 1,x) * x = 1 / (1 / x). [hyper(66,a,1408,a,b,1874,a)]. 1885 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) != z | R(x,K(x \ 1,x),y) = z. [para(1874(a,1),479(a,1,1,1))]. 1886 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1880(a,1),34(a,1,1)),flip(a)]. 1887 (x * (y * (1 / (1 / x)))) \ ((y * x) * L(x,x \ 1,x)) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1557(a,1,1,2,2))]. 1888 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(136,a,1876,a)]. 1889 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(124,a,1876,a(flip),b,1108,a(flip))]. 1890 (1 / (1 / x)) / (x * x) = R(x \ 1,x,x). [para(1881(a,1),328(a,1,1))]. 1892 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(66,a,1384,a,b,1889,a)]. 1893 (1 / x) / L(y,(x \ 1) / y,K(x,x \ 1)) = K(x,x \ 1) * ((x \ 1) / y). [para(1892(a,1),499(a,1,1))]. 1894 T(x,1 / x) = T(x,x \ 1). [para(230(a,1),1869(a,1,1)),flip(a)]. 1895 T(x,1 / x) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1894,a),flip(a)]. 1896 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1894(a,1),425(a,1,1,2))]. 1897 T(x,x \ 1) / x = K(x,1 / x). [para(1894(a,1),737(a,1,1))]. 1898 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1894(a,1),736(a,2,1))]. 1899 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(87(a,1),1895(a,1,2))]. 1900 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1895(a,1),737(a,1,1))]. 1901 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1895(a,1),951(a,1,1,1))]. 1902 K(x,1 / x) = K(x,x \ 1). [hyper(66,a,1871,a(flip),b,1897,a),flip(a)]. 1903 K(x,x \ 1) = x * (1 / x). [hyper(402,a,1902,a),flip(a)]. 1904 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(66,a,626,a,b,1902,a)]. 1905 x \ K(x,x \ 1) = 1 / x. [hyper(122,a,1902,a(flip),b,245,a(flip))]. 1906 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(87(a,1),1902(a,1,2)),flip(a)]. 1908 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1902(a,1),1062(a,1,2))]. 1909 (1 / (1 / x)) * K(x,x \ 1) = x. [para(1902(a,1),1315(a,1,2))]. 1910 (x \ 1) * K(x,1 / x) = 1 / x. [para(1902(a,2),1889(a,1,2))]. 1911 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [hyper(124,a,1903,a,b,1753,a),flip(a)]. 1912 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [hyper(124,a,1903,a,b,1244,a)]. 1913 R(x,y,1 / y) * K(y,y \ 1) = (x * y) * (1 / y). [hyper(124,a,1903,a,b,176,a)]. 1914 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(66,a,401,a,b,1903,a)]. 1916 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1903(a,2),100(a,1,1))]. 1917 x \ ((x / y) * K(y,y \ 1)) = L(1 / y,y,x / y). [para(1903(a,2),106(a,1,2,2))]. 1918 K(x,x \ 1) * y != x * ((1 / x) * z) | L(z,1 / x,x) = y. [para(1903(a,2),445(a,1,1))]. 1919 T((x * y) \ (K(x,x \ 1) * y),x) = R(T(1 / x,x * y),x,y). [para(1903(a,2),981(a,1,1,2,1))]. 1920 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),830(a,1,1))]. 1921 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1903(a,2),1245(a,1,2))]. 1922 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1903(a,2),1746(a,1,1,2))]. 1923 x * (1 / x) != y | K(x,x \ 1) = y. [para(1905(a,1),240(a,1,2)),flip(b)]. 1926 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(285,a,284,a,b,1899,a)]. 1927 T(x,x \ 1) \ 1 = T(x \ 1,x). [para(117(a,2),1899(a,2,1)),flip(a)]. 1928 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(90(a,1),1900(a,1,1,1)),flip(a)]. 1929 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [hyper(124,a,1909,a(flip),b,176,a)]. 1930 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(1909(a,1),113(a,2,2))]. 1931 (1 / x) / K(x,1 / x) = x \ 1. [hyper(135,a,1910,a)]. 1933 x / L(T(y \ 1,y),T(y,y \ 1),x) = x * T(y,y \ 1). [para(1927(a,1),359(a,1,2,1))]. 1934 R(1 / x,x,1 / x) = x \ 1. [hyper(623,a,1931,a)]. 1935 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1934(a,1),371(a,1,1)),flip(a)]. 1936 K(x,1 / x) != y | K(x,x \ 1) = y. [para(245(a,2),1923(a,1))]. 1937 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1926(a,1),1402(a,2,1,2,2))]. 1938 K(x \ 1,x) * T(1 / x,y) = (x \ 1) * (x * T(x \ 1,y)). [para(1860(a,1),448(a,1,2))]. 1939 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = L(R(x \ 1,x,x),y,z) * (x * x). [para(1890(a,1),587(a,1,1,1)),flip(a)]. 1940 K(1 / x,1 / (1 / x)) != y | K(x \ 1,x) = y. [para(1928(a,2),1867(a,1))]. 1941 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1935(a,1),176(a,1,1))]. 1942 K(x \ 1,x) * L(1 / x,y,z) != u | (x \ 1) * (x * L(x \ 1,y,z)) = u. [para(1861(a,1),764(a,1,2))]. 1943 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1886(a,1),1695(a,1,1))]. 1944 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1898(a,1),661(a,1,2))]. 1947 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1940,a,1902,a),flip(a)]. 1948 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(1902(a,1),1940(a,1))]. 1950 K(1 / x,x) != y | K(x \ 1,x) = y. [para(90(a,1),1948(a,1,2))]. 1951 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(1950,a,1916,a(flip)),flip(a)]. 1952 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1626,a,1858,a)]. 1953 T(1 / (1 / x),y / (x * y)) = x. [para(205(a,1),1952(a,1,2))]. 1954 T(x,R(1 / x,x,y)) = T(x,x \ 1). [para(1952(a,1),1869(a,1,1)),flip(a)]. 1955 T(x,y / (x * y)) = T(x,x \ 1). [para(1953(a,1),1869(a,1,1)),flip(a)]. 1956 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1955,a),flip(a)]. 1957 T(x,(x \ y) / y) = T(x,x \ 1). [para(15(a,1),1955(a,1,2,2))]. 1958 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(1955(a,1),1296(a,2,1))]. 1959 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(17(a,1),1956(a,1,2,2))]. 1960 ((x \ y) / y) * T(x,x \ 1) = x * ((x \ y) / y). [hyper(124,a,1957,a(flip),b,27,a(flip))]. 1961 ((x \ y) / y) * T(x,x \ 1) != z | x * ((x \ y) / y) = z. [para(1957(a,1),263(a,1,2))]. 1962 x \ T(x,x \ 1) = K(x,1 / x). [hyper(122,a,1954,a(flip),b,1547,a(flip))]. 1963 x * K(x,x \ 1) = T(x,x \ 1). [hyper(124,a,1902,a(flip),b,1962,a)]. 1964 x \ ((x \ 1) \ 1) = K(x,1 / x). [hyper(66,a,278,a(flip),b,1962,a)]. 1965 x * K(x,x \ 1) = (x \ 1) \ 1. [hyper(285,a,117,a(flip),b,1963,a),flip(a)]. 1966 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(122,a,1955,a,b,1963,a)]. 1969 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1963(a,1),479(a,1,1,1))]. 1970 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(122,a,1964,a,b,245,a(flip))]. 1971 x \ (T(x,y) \ ((x \ 1) \ 1)) = T(x,y) \ K(x,1 / x). [hyper(122,a,1964,a(flip),b,994,a),flip(a)]. 1972 x \ ((x \ 1) \ 1) != y | K(x,x \ 1) = y. [para(1964(a,2),1936(a,1))]. 1974 (x / y) * (((y / x) \ 1) \ 1) = (y / x) * (x / y). [hyper(124,a,1959,a(flip),b,27,a(flip))]. 1975 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(1959(a,1),418(a,1,1))]. 1976 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(428,a,1896,a),flip(a)]. 1977 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(90(a,1),1901(a,1,1,1,1)),flip(a)]. 1978 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1901(a,1),118(a,1,1))]. 1979 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1903(a,2),1922(a,2,2))]. 1980 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(209(a,1),1976(a,1,1)),flip(a)]. 1981 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(128,a,1979,a)]. 1982 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(123,a,150,a(flip),b,1979,a)]. 1983 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1981(a,1),981(a,1,1)),flip(a)]. 1984 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [para(1982(a,1),118(a,1,1))]. 1985 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1982(a,1),630(a,1,1))]. 1986 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(16(a,1),1852(a,1,1)),flip(a)]. 1987 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(1986(a,1),1121(a,1,1,2))]. 1989 x \ (T(x,y) \ ((x \ 1) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(285,a,1020,a(flip),b,1971,a),flip(a)]. 1990 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(37,a,628,a(flip),b,1975,a(flip))]. 1992 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(209(a,1),1980(a,1,1)),flip(a)]. 1993 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1992(a,1),1213(a,1,1))]. 1994 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1993(a,1),1207(a,1,1,1))]. 1995 ((x \ 1) \ 1) * (x \ (T(x,y) \ 1)) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1526,a,b,1989,a)]. 1996 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1903(a,2),1863(a,2,1))]. 1997 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1996(a,1),1864(a,1,2))]. 1998 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1903(a,2),1997(a,2,1))]. 1999 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(14(a,1),1998(a,1,2,2)),flip(a)]. 2000 x * (K(x,x \ 1) * T(y,x)) = K(x,x \ 1) * (y * x). [para(27(a,2),1998(a,1,2,2))]. 2001 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1998(a,1),46(a,1))]. 2002 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(285,a,1402,a,b,1937,a),flip(a)]. 2003 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2002(a,1),699(a,1,1)),flip(a)]. 2004 x * ((y \ 1) * (y * T(y \ 1,x * K(y \ 1,y)))) = L(1 / y,K(y \ 1,y),x) * (x * K(y \ 1,y)). [hyper(124,a,1938,a(flip),b,583,a)]. 2005 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(876,a,1994,a)]. 2006 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [hyper(124,a,2005,a(flip),b,1516,a)]. 2007 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1000(a,1),2005(a,1,2,1))]. 2008 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(2007(a,1),1697(a,1,1))]. 2009 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(237,a,2008,a),flip(a)]. 2012 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(66,a,2006,a,b,2009,a)]. 2013 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(2007(a,2),2012(a,1,2))]. 2014 T((x * y) \ (K(x,x \ 1) * y),x) = (x * y) \ y. [hyper(285,a,686,a(flip),b,1919,a),flip(a)]. 2015 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(285,a,1903,a,b,1941,a),flip(a)]. 2016 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(66,a,625,a(flip),b,1987,a),flip(a)]. 2018 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [hyper(136,a,2016,a)]. 2020 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(285,a,699,a(flip),b,2003,a),flip(a)]. 2021 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(21(a,2),2020(a,2,1))]. 2022 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(21(a,2),2021(a,1,1))]. 2023 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(1856(a,1),2015(a,1,2))]. 2024 x / (y * x) = R(y \ 1,y,x) * K(y,y \ 1). [hyper(138,a,2023,a),flip(a)]. 2026 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(979,a,1877,a(flip))]. 2027 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) != (1 / x) * z | y = z. [para(2026(a,2),46(a,1))]. 2028 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(14(a,1),1757(a,1,1,1))]. 2029 T(K(x,(y * x) \ y),x) = x \ T(x,(y * x) \ y). [hyper(224,a,2028,a,b,15,a)]. 2030 T(x,(y * x) \ y) / x = K(x,(y * x) \ y). [hyper(135,a,2028,a)]. 2033 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(285,a,413,a(flip),b,751,a),flip(a)]. 2034 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(903(a,1),2033(a,2,2))]. 2035 (x \ ((L(y,1 / y,x) * x) / L(y,1 / y,x))) / (x \ 1) = x * (T(y,x) / y). [hyper(66,a,1303,a,b,2034,a)]. 2036 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2034(a,1),1302(a,1,1)),flip(a)]. 2037 (x \ (x * (T(y,x) / y))) / (x \ 1) = x * (T(y,x) / y). [para(2034(a,1),2035(a,1,1,2))]. 2038 (T(x,y) / x) / (y \ 1) = y * (T(x,y) / x). [para(14(a,1),2037(a,1,1))]. 2040 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(815,a,879,a),flip(a)]. 2041 (x * y) * ((z * ((x * y) \ y)) / z) = (((z * (1 / x)) / z) * x) * y. [para(12(a,1),2040(a,1,2,1,2,2))]. 2042 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(17(a,1),2040(a,1,2,1,2,2)),flip(a)]. 2043 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(798(a,1),2040(a,2,1))]. 2044 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [hyper(800,a,2041,a)]. 2045 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(798(a,1),2041(a,2,1))]. 2046 ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). [para(112(a,1),2044(a,1,2))]. 2047 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(66,a,1178,a(flip),b,2045,a)]. 2048 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(66,a,1177,a(flip),b,2045,a),flip(a)]. 2049 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(224,a,2045,a(flip),b,1721,a(flip))]. 2052 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(285,a,1537,a(flip),b,2049,a)]. 2053 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1326(a,1),2048(a,1,1)),flip(a)]. 2054 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(15(a,1),2052(a,2,1,2,1))]. 2055 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(419(a,2),2052(a,2,1,2,1)),flip(a)]. 2056 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1000(a,1),2054(a,1,2,1))]. 2057 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1903(a,2),2056(a,2,1))]. 2058 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2057(a,1),2013(a,1,2))]. 2059 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2058(a,1),46(a,1))]. 2060 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(293,a,2042,a),flip(a)]. 2061 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2042(a,1),293(a,1))]. 2062 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(66,a,1179,a(flip),b,2060,a)]. 2063 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(66,a,1043,a(flip),b,2060,a),flip(a)]. 2064 T(x * ((x / y) / x),y) = y \ T(x,x / (x * y)). [hyper(224,a,2063,a,b,15,a)]. 2066 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(334(a,2),2062(a,2,1,2,1)),flip(a)]. 2067 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2045(a,1),2062(a,1,2)),flip(a)]. 2068 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1043(a,1),2061(a,1))]. 2070 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(293,a,2043,a),flip(a)]. 2071 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(66,a,1179,a(flip),b,2043,a)]. 2072 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(15(a,1),2071(a,1,2,2,1)),flip(a)]. 2073 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2072(a,2,2,2,1))]. 2074 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2045(a,1),2047(a,1,2)),flip(a)]. 2075 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1537(a,2),2074(a,1,1))]. 2076 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1326(a,1),2053(a,1,2)),flip(a)]. 2077 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(135,a,2076,a)]. 2078 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2077(a,1),813(a,1,1))]. 2079 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(66,a,487,a(flip),b,2078,a),flip(a)]. 2080 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2079(a,1),638(a,1,1))]. 2081 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(630,a,2080,a),flip(a)]. 2082 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(285,a,21,a,b,2081,a)]. 2083 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(21(a,2),2082(a,2,1,2)),flip(a)]. 2084 T(1 / x,K(y,x)) = 1 / x. [hyper(250,a,2083,a)]. 2085 K(x,y) * (1 / y) = (1 / y) * K(x,y). [hyper(136,a,2083,a)]. 2086 x / (1 / (1 / x)) = K(x,1 / x). [para(1315(a,1),2083(a,1,1))]. 2087 (K(x,y) * (1 / y)) / K(x,y) = 1 / y. [hyper(254,a,2084,a)]. 2088 K(1 / x,K(y,x)) = 1. [hyper(58,a,2084,a)]. 2089 K(x,K(y,x \ 1)) = 1. [para(87(a,1),2088(a,1,1))]. 2090 T(x,K(y,x \ 1)) = x. [hyper(59,a,2089,a)]. 2091 L(x,y,z) * K(u,x \ 1) = K(u,x \ 1) * L(x,y,z). [para(2090(a,1),222(a,1,2,1)),flip(a)]. 2092 x / (1 / (1 / x)) = x * (1 / x). [hyper(285,a,245,a(flip),b,2086,a),flip(a)]. 2093 K(x,1 / x) * (1 / (1 / x)) = x. [hyper(136,a,2086,a)]. 2094 L(x,1 / x,x) = 1 / (1 / x). [hyper(554,a,2092,a)]. 2095 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(2094(a,1),30(a,2,1))]. 2096 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1902(a,1),2093(a,1,1))]. 2097 K(x,x \ 1) \ x = 1 / (1 / x). [hyper(128,a,2096,a)]. 2098 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(2096(a,1),103(a,1,1))]. 2099 R(1 / x,y,z) \ (K(u,x) * R(1 / x,y,z)) = K(u,x). [para(2087(a,1),784(a,1,1,1))]. 2100 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [hyper(124,a,2095,a(flip),b,936,a)]. 2101 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(66,a,1912,a(flip),b,2091,a),flip(a)]. 2102 L(x,y,z) * u != K(w,x \ 1) * L(x,y,z) | K(w,x \ 1) = u. [para(2091(a,1),46(a,1)),flip(a)]. 2103 T(K(x,y),R(1 / y,z,u)) = K(x,y). [hyper(308,a,2099,a)]. 2104 T(K(x,y),y \ 1) = K(x,y). [para(366(a,1),2103(a,1,2))]. 2105 T(x \ 1,K(y,x)) = x \ 1. [hyper(57,a,2104,a)]. 2106 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T(T(x \ 1,K(z,x)) \ 1,y). [para(2105(a,1),1399(a,1,1)),flip(a)]. 2107 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1902(a,1),2100(a,1,1))]. 2108 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(2001,a,2101,a)]. 2109 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(2097(a,2),2107(a,1,2,1))]. 2110 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(285,a,1977,a(flip),b,2108,a),flip(a)]. 2111 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(2109(a,1),925(a,1,1))]. 2112 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1951(a,1),2111(a,1,2))]. 2113 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1951(a,1),2112(a,2,1,2))]. 2114 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1874(a,1),2113(a,2,1))]. 2116 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(66,a,1245,a(flip),b,966,a)]. 2117 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [hyper(124,a,966,a(flip),b,358,a(flip))]. 2118 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | K(y \ 1,y * ((x * y) \ x)) = z. [para(2117(a,1),46(a,1)),flip(a)]. 2119 R((1 / (x * y)) * x,y,y \ 1) = T((1 / (x * y)) * x,y). [hyper(66,a,846,a(flip),b,970,a),flip(a)]. 2120 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = y \ 1. [para(2119(a,1),818(a,1,2))]. 2121 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(684(a,1),1419(a,1,1)),flip(a)]. 2122 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(745(a,1),1780(a,1,1))]. 2123 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1027(a,1),2122(a,1,1))]. 2124 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(1775(a,1),2123(a,1,2))]. 2125 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(66,a,30,a,b,2124,a)]. 2126 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(1772(a,1),2125(a,1,1))]. 2127 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(66,a,1027,a,b,2126,a)]. 2128 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2126(a,1),1712(a,1,2))]. 2129 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(66,a,1781,a(flip),b,2127,a),flip(a)]. 2130 (x * x) * L((x * x) \ (1 / (1 / x)),y,z) = (L(x \ 1,y,z) * x) * x. [hyper(285,a,472,a(flip),b,1939,a),flip(a)]. 2131 x * (x * L(x \ (x \ (1 / (1 / x))),y,z)) = (L(x \ 1,y,z) * x) * x. [hyper(66,a,938,a(flip),b,2130,a)]. 2132 x * (x * L(x \ K(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(1873(a,1),2131(a,1,2,2,1,2))]. 2133 x * (x * L(T(x \ 1,x),y,z)) = (L(x \ 1,y,z) * x) * x. [para(329(a,1),2132(a,1,2,2,1))]. 2134 (L(x \ 1,y,z) * x) * x = x * (L(x \ 1,y,z) * x). [para(222(a,1),2133(a,1,2)),flip(a)]. 2135 T(x,L(x \ 1,y,z) * x) = x. [hyper(225,a,2134,a)]. 2136 T(x \ y,(y \ x) * (x \ y)) = x \ y. [para(357(a,1),2135(a,1,2,1))]. 2137 T(x \ (x / y),y * (x \ (x / y))) = x \ (x / y). [para(90(a,1),2136(a,1,2,1))]. 2138 R(x \ (x / y),y,x \ (x / y)) = T(x \ (x / y),y). [para(2137(a,1),727(a,1,1))]. 2139 T(x \ (x / y),y) \ T((x \ (x / y)) * y,x \ (x / y)) = T(y,x \ (x / y)). [para(2138(a,1),1169(a,1,1))]. 2140 T(x \ (x / y),y) \ ((x \ (x / y)) * y) = T(y,x \ (x / y)). [para(1602(a,1),2139(a,1,2))]. 2141 T(x,T(y \ (y / x),x)) = T(x,y \ (y / x)). [hyper(386,a,2140,a)]. 2142 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(T(1 / x,R(x,y,z)),x)). [para(1625(a,1),2141(a,1,2,1)),flip(a)]. 2143 T(x,R(x,y,z) \ (R(x,y,z) / x)) = T(x,T(x \ 1,R(x,y,z))). [para(231(a,1),2142(a,2,2))]. 2144 T(x,T(1 / x,R(x,y,z))) = T(x,T(x \ 1,R(x,y,z))). [para(1625(a,1),2143(a,1,2))]. 2145 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(683(a,1),2116(a,1,2)),flip(a)]. 2146 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = T((x \ 1) * T(x,y),x \ 1). [para(2104(a,1),1361(a,1,2,1,2))]. 2147 T((x \ 1) * T(x,y),x \ 1) = (x \ 1) * T(x,y). [para(326(a,1),2146(a,1,2,1)),flip(a)]. 2148 T(x \ 1,(x \ 1) * T(x,y)) = x \ 1. [hyper(57,a,2147,a)]. 2149 T((1 / x) \ 1,((1 / x) \ 1) * T(1 / x,y)) = x. [hyper(285,a,90,a(flip),b,2148,a),flip(a)]. 2150 T(x,((1 / x) \ 1) * T(1 / x,y)) = x. [para(90(a,1),2149(a,1,1))]. 2151 T(x,x * T(1 / x,y)) = x. [para(90(a,1),2150(a,1,2,1))]. 2152 T(x * T(1 / x,y),x) = x * T(1 / x,y). [hyper(57,a,2151,a)]. 2154 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,1529,a,b,2152,a)]. 2155 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(27(a,2),1412(a,1,1,2,2,1,2)),flip(a)]. 2156 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1651(a,1),1447(a,1,2,1))]. 2157 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1156(a,1),2156(a,1,2)),flip(a)]. 2158 T(x \ 1,R(x,y,z)) \ ((x \ 1) * R(x,y,z)) = T(R(x,y,z),x \ 1). [para(2157(a,1),1655(a,1,2))]. 2159 T(R(x,y,z),T(x \ 1,R(x,y,z))) = T(R(x,y,z),x \ 1). [hyper(386,a,2158,a)]. 2160 R(T(x,T(x \ 1,R(x,y,z))),y,z) = T(R(x,y,z),x \ 1). [hyper(66,a,32,a,b,2159,a)]. 2161 R(T(x,T(x \ 1,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [hyper(285,a,32,a,b,2160,a),flip(a)]. 2162 R(T(x,T(1 / x,R(x,y,z))),y,z) = R(T(x,x \ 1),y,z). [para(2144(a,2),2161(a,1,1))]. 2163 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(84(a,1),1449(a,1,1)),flip(a)]. 2164 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(116(a,1),2163(a,1,1))]. 2166 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(14(a,1),2164(a,1,1,1)),flip(a)]. 2167 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2164(a,1),47(a,1))]. 2168 T(x * (1 / (y \ 1)),y \ 1) = (((y \ 1) \ x) * (y \ 1)) * y. [para(87(a,1),2164(a,1,2)),flip(a)]. 2169 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2166(a,2),47(a,1))]. 2170 (((x \ 1) \ y) * (x \ 1)) * x = T(y * x,x \ 1). [para(87(a,1),2168(a,1,1,2)),flip(a)]. 2172 T(((x \ 1) \ y) * (x \ 1),x) = x \ T(y * x,x \ 1). [hyper(224,a,2170,a,b,15,a)]. 2174 T((x \ y) * x,x \ 1) = (x \ T(y,x \ 1)) * x. [para(915(a,1),2170(a,1,1)),flip(a)]. 2175 (x \ T(y / (x \ 1),x \ 1)) * x = T(T(y,x) / (x \ 1),x \ 1). [para(931(a,1),2174(a,1,1)),flip(a)]. 2176 T(T(x,y) / (y \ 1),y \ 1) = (y \ ((y \ 1) \ x)) * y. [para(118(a,1),2175(a,1,1,2)),flip(a)]. 2177 (x \ ((x \ 1) \ y)) * x = (x \ 1) \ T(y,x). [hyper(630,a,2176,a),flip(a)]. 2178 (x \ 1) \ T((x \ 1) * y,x) = (x \ y) * x. [para(14(a,1),2177(a,1,1,2)),flip(a)]. 2179 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [hyper(138,a,2178,a)]. 2180 T(((x / y) \ 1) * x,x / y) = ((x / y) \ 1) * (y * (x / y)). [hyper(124,a,182,a(flip),b,2178,a),flip(a)]. 2181 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(14(a,1),2179(a,1,2,1)),flip(a)]. 2182 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(97(a,1),2179(a,1,2,1)),flip(a)]. 2183 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(2179(a,1),429(a,1,2))]. 2184 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [hyper(124,a,2181,a(flip),b,27,a(flip)),flip(a)]. 2185 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [hyper(285,a,242,a(flip),b,2184,a),flip(a)]. 2186 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(123,a,242,a(flip),b,2184,a)]. 2187 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(17(a,1),2186(a,1,1,1)),flip(a)]. 2188 L(R(x,1 / y,y),y \ 1,y) / y = (y \ 1) * (y * (x * (1 / y))). [para(247(a,1),2186(a,1,1,1))]. 2189 (x \ 1) * (x * (y * (1 / x))) = L(y,x \ 1,x) * (1 / x). [hyper(66,a,508,a(flip),b,2188,a),flip(a)]. 2190 (x \ 1) * (x * (y * (1 / x))) != z * (1 / x) | L(y,x \ 1,x) = z. [para(2189(a,2),47(a,1))]. 2191 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1080(a,1),1724(a,1,2,1)),flip(a)]. 2192 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2191,a),flip(a)]. 2193 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2192(a,1),46(a,1))]. 2194 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1158(a,1),1742(a,1,2,1)),flip(a)]. 2195 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(122,a,82,a(flip),b,2194,a),flip(a)]. 2196 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1764(a,1),1766(a,1,2)),flip(a)]. 2197 (x * (y * T(y \ 1,x))) \ (y * T(y \ 1,x)) = x \ 1. [hyper(122,a,14,a(flip),b,2196,a)]. 2199 (x * K(y,x)) \ (L(y \ 1,y,x) * T(L(y \ 1,y,x) \ 1,x)) = x \ 1. [para(1281(a,2),2197(a,1,1,2))]. 2200 (x * K(y,x)) \ K(y,x) = x \ 1. [para(1281(a,2),2199(a,1,2))]. 2201 K(x,y) / (y \ 1) = y * K(x,y). [hyper(185,a,2200,a)]. 2202 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(138,a,2200,a)]. 2203 (x * K(y,x)) * (x \ 1) != z * u | K(y,x) / u = z. [para(2200(a,1),300(a,1,2))]. 2204 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,z)). [para(2201(a,1),841(a,1,1)),flip(a)]. 2205 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * ((y \ 1) * T((y \ 1) \ 1,u))) * z. [para(2202(a,1),2121(a,1,1))]. 2206 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(285,a,244,a(flip),b,1767,a),flip(a)]. 2207 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1764(a,1),2206(a,1,1)),flip(a)]. 2208 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1266(a,2),2207(a,1,1)),flip(a)]. 2209 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1266(a,2),2208(a,1,1,2)),flip(a)]. 2210 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * L(x,x \ 1,x),x). [para(1880(a,1),1887(a,1,2,2))]. 2211 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1903(a,2),1920(a,1,2,1,1))]. 2212 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2034(a,1),2036(a,1,2,1)),flip(a)]. 2213 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(17(a,1),2070(a,2,2,1,2,1))]. 2214 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(135,a,2213,a)]. 2215 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(12(a,1),2214(a,1,1,2,1,2,2)),flip(a)]. 2216 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = (x \ 1) * T((x \ 1) \ 1,y). [para(2105(a,1),2106(a,2,2,1,1))]. 2217 T((x \ 1) * T((x \ 1) \ 1,y),K(z,x)) = x \ T(x,y). [hyper(285,a,883,a(flip),b,2216,a),flip(a)]. 2219 T(x \ T(x,y),K(z,x)) = x \ T(x,y). [para(883(a,1),2217(a,1,1))]. 2220 T(K(x,y),y \ T(y,z)) = K(x,y). [hyper(57,a,2219,a)]. 2221 T((x * y) \ (y * x),K(z,y)) = L(y \ T(y,x),y,x). [para(2219(a,1),699(a,1,1)),flip(a)]. 2222 K(K(x,y),y \ T(y,z)) = 1. [hyper(58,a,2220,a)]. 2223 K(K(x,y),y \ ((T(z,y) \ z) * y)) = 1. [para(1502(a,1),2222(a,1,2,2))]. 2224 K(K(x,y),T(T(z,y) \ z,y)) = 1. [para(27(a,2),2223(a,1,2))]. 2225 T((x * y) \ (y * x),K(z,y)) = K(y,x). [hyper(285,a,698,a,b,2221,a),flip(a)]. 2227 T(K(x,y),K(z,x)) = K(x,y). [para(21(a,2),2225(a,1,1))]. 2228 T(K(x,y),K(y,z)) = K(x,y). [hyper(57,a,2227,a)]. 2229 K(x,y) * K(z,x) = K(z,x) * K(x,y). [hyper(124,a,2227,a(flip),b,27,a(flip)),flip(a)]. 2230 T(x,K(y,z)) != K(z,u) | K(z,u) = x. [para(2227(a,1),52(a,1)),flip(a)]. 2232 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2227(a,1),263(a,1,2))]. 2233 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2227(a,1),222(a,1,2,1)),flip(a)]. 2234 x \ y != K(z,u) * K(u,w) | x * (K(u,w) * K(z,u)) = y. [para(2227(a,1),533(a,2,2))]. 2235 T(x,K(y,z)) != K(u,y) | K(u,y) = x. [para(2228(a,1),52(a,1)),flip(a)]. 2236 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2228(a,1),263(a,1,2))]. 2237 T(K(x,y),z) * K(y,u) = K(y,u) * T(K(x,y),z). [para(2228(a,1),221(a,1,2,1)),flip(a)]. 2238 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2228(a,1),222(a,1,2,1)),flip(a)]. 2239 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2228(a,1),223(a,1,2,1)),flip(a)]. 2240 K(x,y) * T(K(z,x),u) != w | T(K(z,x),u) * K(x,y) = w. [para(2228(a,1),383(a,1,2,1))]. 2241 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2228(a,1),384(a,1,2,1))]. 2243 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1947(a,1),2110(a,1,1))]. 2244 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(949(a,1),2243(a,1,2))]. 2245 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(897(a,1),2211(a,2,2))]. 2246 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(285,a,1438,a(flip),b,2245,a),flip(a)]. 2247 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(688,a,2246,a),flip(a)]. 2248 T((1 / K(x,x \ 1)) * y,x) = (1 / K(x,x \ 1)) * T(y,x). [hyper(124,a,2246,a(flip),b,845,a),flip(a)]. 2249 T(K(x,x \ 1) * y,x) = K(x,x \ 1) * T(y,x). [para(14(a,1),2246(a,1,2,1)),flip(a)]. 2251 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(118(a,1),2247(a,2,1))]. 2252 x * T(K(x,x \ 1) * y,x) = K(x,x \ 1) * (y * x). [para(2249(a,2),2000(a,1,2))]. 2253 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1985,a,2251,a)]. 2254 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [hyper(124,a,2251,a(flip),b,1984,a(flip))]. 2255 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(37,a,1912,a(flip),b,2254,a),flip(a)]. 2256 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(14(a,1),2254(a,1,2,1)),flip(a)]. 2257 R(x,y,K(x,x \ 1)) = x. [hyper(475,a,2256,a)]. 2258 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2257(a,1),32(a,2,1))]. 2259 R(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2257(a,1,3))]. 2260 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(66,a,1983,a(flip),b,2258,a),flip(a)]. 2262 T(x \ 1,y * K(x \ 1,x)) = T(x \ 1,y). [para(1906(a,1),2260(a,1,2,2))]. 2263 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [para(2024(a,2),2260(a,1,2)),flip(a)]. 2265 (1 / x) * (y * K(x \ 1,x)) != z | ((1 / x) * y) * K(x \ 1,x) = z. [para(2259(a,1),262(a,1,1))]. 2266 (x * R(x \ 1,x,y)) \ (T(x,y / (x * y)) * R(x \ 1,x,y)) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(2263(a,1),214(a,1,2,1))]. 2267 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(263,a,2252,a)]. 2268 K(x,x \ 1) * (y * x) != z | (K(x,x \ 1) * y) * x = z. [para(2252(a,1),263(a,1))]. 2269 L(x,y,K(x,x \ 1)) = x. [hyper(445,a,2267,a)]. 2270 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1947(a,1),2269(a,1,3))]. 2271 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2270(a,1),30(a,2,1))]. 2272 (1 / K(x,x \ 1)) * T(y,x) = T(K(x \ 1,x) * y,x). [para(436(a,1),2248(a,1,1,1)),flip(a)]. 2273 T(K(x \ 1,x) * y,x) = K(x \ 1,x) * T(y,x). [para(436(a,1),2272(a,1,1)),flip(a)]. 2274 x * T(K(x \ 1,x) * y,x) = K(x \ 1,x) * (y * x). [para(2273(a,2),1454(a,1,2))]. 2275 (K(x \ 1,x) * y) * x = K(x \ 1,x) * (y * x). [hyper(263,a,2274,a)]. 2276 L(x,y,K(x \ 1,x)) = x. [hyper(445,a,2275,a)]. 2277 L(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2276(a,1),30(a,2,1))]. 2278 T(x,K(x \ 1,x) * y) = T(x,y). [hyper(66,a,1795,a(flip),b,2277,a)]. 2280 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(285,a,471,a(flip),b,678,a),flip(a)]. 2281 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(1072,a,2280,a)]. 2282 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [para(116(a,1),2281(a,1,2)),flip(a)]. 2283 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(66,a,1598,a(flip),b,959,a)]. 2285 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2283(a,1),798(a,1,1)),flip(a)]. 2286 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) != u | x * L(x \ 1,L(x,y,z),1 / x) = u. [para(2285(a,2),787(a,1))]. 2287 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(1072,a,1272,a),flip(a)]. 2288 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(684(a,1),2287(a,2,2))]. 2289 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(445,a,2288,a)]. 2290 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2289,a)]. 2291 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(85(a,1),2289(a,2,1,2))]. 2292 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(883(a,1),2289(a,1,1))]. 2293 L(x \ T(x,y * L(x \ 1,z,u)),z,u) = K((y * L(x \ 1,z,u)) \ y,y * L(x \ 1,z,u)). [para(16(a,1),2292(a,2,1,2))]. 2294 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(408(a,1),2292(a,2,1,2))]. 2295 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2029(a,2),2294(a,1,1))]. 2296 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1329(a,1),1294(a,2,1))]. 2297 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1357(a,1),2296(a,2,1,1))]. 2298 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(285,a,25,a,b,2297,a)]. 2299 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(285,a,1110,a(flip),b,2298,a)]. 2300 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(85(a,1),2298(a,2,1,2))]. 2301 R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1159(a,1),2298(a,2,1,2))]. 2302 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(263,a,2299,a),flip(a)]. 2303 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = ((x * T(x \ 1,R(x,y,z))) * y) * z. [para(2300(a,1),112(a,1,1))]. 2304 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(2286,a,1542,a)]. 2305 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(827(a,1),1251(a,1,2)),flip(a)]. 2306 K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). [para(27(a,2),1467(a,1,1))]. 2307 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2263(a,1),2306(a,2,2))]. 2308 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(243(a,2),1495(a,1,2,1,1))]. 2309 R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(1486(a,1),1639(a,1,1))]. 2310 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(2162(a,1),2309(a,1,1))]. 2311 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1625(a,1),2310(a,2,1))]. 2313 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(2311(a,2),629(a,1))]. 2314 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),1840(a,1,1))]. 2315 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(97(a,1),2314(a,1,2,1,1))]. 2316 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(285,a,1606,a(flip),b,2308,a),flip(a)]. 2317 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(1318(a,1),2316(a,2,1))]. 2318 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(285,a,473,a(flip),b,782,a),flip(a)]. 2319 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1194,a,2318,a)]. 2320 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1373(a,1),2319(a,2,1,1))]. 2321 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (z * R(T(T(x,z),u),y,y \ z)). [para(32(a,2),1343(a,2,2,2))]. 2322 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ (R(T(x,u),y,y \ z) * z). [para(591(a,1),2321(a,2,2))]. 2323 ((x * y) \ z) * T(((x * y) \ z) \ (y \ z),u) = (x * y) \ ((T(x,u) * y) * (y \ z)). [para(335(a,1),2322(a,2,2))]. 2324 K(x \ T(x,y),(x \ 1) / (x \ T(x,y))) = (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)). [para(1804(a,1),1823(a,1,2,2)),flip(a)]. 2325 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(122,a,1807,a(flip),b,2324,a(flip)),flip(a)]. 2326 (x \ 1) * T((x \ 1) \ ((x \ 1) / (1 / x)),y) = K(x \ 1,x) * (T(x,y) / x). [para(901(a,1),1875(a,1,2)),flip(a)]. 2327 (x \ 1) * T((x \ 1) \ K(x \ 1,x),y) = K(x \ 1,x) * (T(x,y) / x). [para(1866(a,1),2326(a,1,2,1,2))]. 2328 K(x \ 1,x) * (T(x,y) / x) = (x \ 1) * T(x,y). [para(326(a,1),2327(a,1,2,1)),flip(a)]. 2329 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * ((T(x,y) / x) * z)) = L(z,T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),23(a,2,1)),flip(a)]. 2330 ((x \ 1) * T(x,y)) \ (K(x \ 1,x) * (T(x,y) * (1 / x))) = L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)). [para(2328(a,1),1078(a,1,1))]. 2331 K(x,y) * T(K(x,y) \ (K(x,y) / (y \ 1)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(883(a,1),2204(a,2,2))]. 2332 K(x,y) * T(K(x,y) \ (y * K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(2201(a,1),2331(a,1,2,1,2))]. 2333 K(x,y) * T(T(y,K(x,y)),z) = (y * K(x,y)) * (y \ T(y,z)). [para(27(a,2),2332(a,1,2,1))]. 2334 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1590(a,1),2293(a,1,1,2)),flip(a)]. 2335 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(79(a,1),2334(a,2,1))]. 2336 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(285,a,345,a(flip),b,2335,a),flip(a)]. 2339 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [hyper(124,a,2336,a(flip),b,97,a),flip(a)]. 2340 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(285,a,13,a(flip),b,2339,a),flip(a)]. 2341 R(L(x / (y \ 1),z,u),y \ 1,(y \ 1) \ 1) = (y \ L(y * x,z,u)) * T(y,y \ 1). [para(947(a,1),1143(a,1,1)),flip(a)]. 2342 (x \ L(x * y,z,u)) * T(x,x \ 1) = L(y * ((x \ 1) \ 1),z,u). [hyper(66,a,574,a(flip),b,2341,a),flip(a)]. 2343 (((x * y) \ x) \ K(y,x)) / (L(y \ 1,y,x) \ 1) = K(y,x). [hyper(285,a,1281,a,b,1282,a),flip(a)]. 2344 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [para(203(a,1),2343(a,1,2,1))]. 2346 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2344(a,1),630(a,1,1))]. 2347 K(R(x,y,z),((x \ 1) * R(x,y,z)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1638(a,1),1544(a,1,2,1))]. 2348 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(16(a,1),2347(a,1,2)),flip(a)]. 2350 ((x * y) / x) / ((1 / T(y,z)) \ 1) = (1 / T(y,z)) * ((x * y) / x). [para(319(a,1),1691(a,1,1,1,2))]. 2351 (1 / T(x,y)) * ((z * x) / z) = ((z * x) / z) / T(x,y). [para(90(a,1),2350(a,1,2)),flip(a)]. 2353 ((x * T(y,x)) / x) / T(T(y,x),z) = (1 / T(T(y,x),z)) * y. [para(209(a,1),2351(a,1,2)),flip(a)]. 2354 (1 / T(T(x,y),z)) * x = x / T(T(x,y),z). [para(209(a,1),2353(a,1,1)),flip(a)]. 2355 1 / T(T(x,y),T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(123,a,249,a(flip),b,2354,a),flip(a)]. 2356 1 / ((T(x,y) \ x) \ x) = (T(x,y) \ x) / x. [hyper(627,a,2355,a)]. 2357 (T(x,y) \ x) / x != 1 / z | (T(x,y) \ x) \ x = z. [para(2356(a,1),48(a,1))]. 2358 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(790(a,1),1793(a,2,1))]. 2359 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(285,a,2305,a(flip),b,2358,a),flip(a)]. 2360 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1471(a,1),1794(a,2,2,1))]. 2361 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(16(a,1),2360(a,2,2))]. 2362 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(124,a,2361,a(flip),b,2359,a(flip))]. 2364 (T(x,y) * (L(x,z,u) * y)) \ ((L(x,z,u) * y) * T(T(x,y),y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(222(a,1),1797(a,1,2,1))]. 2365 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1029(a,1),2055(a,2,2,1))]. 2366 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1548(a,1),2365(a,1,1)),flip(a)]. 2367 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(66,a,1722,a(flip),b,2366,a)]. 2368 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1936,a,2367,a)]. 2369 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(285,a,1835,a,b,2368,a)]. 2370 T(x,y) != K(T(z,y),T(z,y) \ 1) | K(T(z,y),1 / z) = x. [para(2368(a,2),52(a,1)),flip(a)]. 2371 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(37,a,1903,a(flip),b,2369,a),flip(a)]. 2373 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(249(a,1),2371(a,1,2))]. 2374 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1236(a,1),2373(a,1,1))]. 2375 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(66,a,1808,a(flip),b,2374,a),flip(a)]. 2376 T(T(x,x \ 1),y) = (T(x,y) \ 1) \ 1. [hyper(180,a,2375,a),flip(a)]. 2377 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(117(a,1),2375(a,1,2,1))]. 2378 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(324(a,1),2375(a,1,2,1)),flip(a)]. 2379 T((x \ 1) \ 1,y) = (T(x,y) \ 1) \ 1. [hyper(66,a,615,a(flip),b,2376,a)]. 2380 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(90(a,1),2377(a,1,2,1,1))]. 2381 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [hyper(185,a,2378,a)]. 2382 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [hyper(124,a,2379,a(flip),b,27,a(flip))]. 2383 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(90(a,1),2379(a,1,1,1)),flip(a)]. 2384 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(118(a,1),2379(a,2,1,1))]. 2386 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(66,a,1874,a,b,2381,a)]. 2387 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(118(a,1),2381(a,1,2,2)),flip(a)]. 2388 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(687,a,2382,a)]. 2389 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(118(a,1),2382(a,1,2,1,1)),flip(a)]. 2391 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(285,a,1965,a,b,2388,a),flip(a)]. 2392 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2388,a),flip(a)]. 2393 (T(x,y) \ x) / ((x \ 1) \ 1) = T(x,y) \ 1. [para(2388(a,1),1009(a,1,2))]. 2394 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2059,a,2391,a)]. 2395 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2370,a,2394,a),flip(a)]. 2396 K(K(x,x \ 1),y) = 1. [hyper(58,a,2394,a)]. 2397 T(x,K(y,y \ 1)) = x. [hyper(57,a,2394,a)]. 2398 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(124,a,2394,a(flip),b,27,a(flip)),flip(a)]. 2399 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(122,a,2394,a(flip),b,2057,a)]. 2401 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2394(a,1),263(a,1,2))]. 2402 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,T(K(z,z \ 1),y)). [para(2394(a,1),219(a,1,1,2))]. 2404 K(K(x \ 1,x),y) = 1. [para(1906(a,1),2396(a,1,1))]. 2405 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2397(a,1),263(a,1,2))]. 2407 T(x,K(y \ 1,y)) = x. [para(1906(a,1),2397(a,1,2))]. 2408 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(59,a,2404,a)]. 2409 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2169,a,2407,a),flip(a)]. 2411 K(x \ 1,x) * y != z * K(x \ 1,x) | y = z. [para(2407(a,1),227(a,1,2))]. 2412 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2407(a,1),263(a,1,2))]. 2413 x \ y != K(z \ 1,z) * u | x * (u * K(z \ 1,z)) = y. [para(2407(a,1),533(a,2,2))]. 2414 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(66,a,1401,a,b,2408,a)]. 2415 T((x \ 1) * x,y) = K(x \ 1,x). [para(243(a,1),2408(a,1,1))]. 2416 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2408(a,1),263(a,1,2))]. 2418 x \ y != z * K(u \ 1,u) | x * (K(u \ 1,u) * z) = y. [para(2408(a,1),533(a,2,2))]. 2420 (x * K(y,y \ 1)) \ ((T(x,K(y,y \ 1)) * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [hyper(122,a,2398,a(flip),b,446,a)]. 2421 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2398(a,2),462(a,1,2))]. 2422 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1942,a,2409,a),flip(a)]. 2423 L(x,y,y \ 1) * K(y \ 1,y) = (y \ 1) * (y * x). [hyper(764,a,2409,a),flip(a)]. 2424 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(285,a,1076,a(flip),b,2409,a),flip(a)]. 2425 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [hyper(124,a,2409,a,b,14,a)]. 2426 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(122,a,481,a(flip),b,2409,a)]. 2427 (x * K(y \ 1,y)) * L(z,x,K(y \ 1,y)) = K(y \ 1,y) * (x * z). [para(2409(a,1),103(a,1,1))]. 2428 R(x,x \ y,K(z \ 1,z)) \ (K(z \ 1,z) * y) = (x \ y) * K(z \ 1,z). [para(2409(a,2),462(a,1,2))]. 2429 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2409(a,2),327(a,1,1))]. 2430 T(x * K(y \ 1,y),y) = K(y \ 1,y) * T(x,y). [para(2409(a,1),2273(a,1,1))]. 2431 T(x,y * K(x \ 1,x)) = T(x,y). [para(2409(a,1),2278(a,1,2))]. 2432 x * T(K(y \ 1,y),z) = K(y \ 1,y) * x. [para(2408(a,2),2409(a,2,2)),flip(a)]. 2434 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2414(a,1),1115(a,1,1))]. 2435 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [hyper(254,a,2384,a)]. 2436 (1 / (1 / (x / y))) * y = y * (1 / (1 / (y \ x))). [hyper(124,a,2387,a(flip),b,27,a(flip)),flip(a)]. 2437 (T(x,y) \ 1) * T(x,x \ 1) = T(x,y) \ x. [hyper(612,a,2393,a)]. 2443 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(37,a,628,a(flip),b,2389,a(flip))]. 2445 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(113(a,2),2389(a,1,1,1,1))]. 2446 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1570(a,1),2424(a,2,2))]. 2447 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2424(a,1),2412(a,1))]. 2449 x * (K(y \ 1,y) * z) != x * u | z * K(y \ 1,y) = u. [para(2425(a,2),46(a,1))]. 2450 (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. [para(2425(a,2),647(a,1,2))]. 2451 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(14(a,1),2435(a,1,1,2,1,1))]. 2452 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2435(a,1),236(a,1,1)),flip(b)]. 2453 (1 / (1 / ((x * y) / (x * z)))) * (x * z) = (x * z) * (1 / (1 / L(z \ y,z,x))). [para(105(a,2),2436(a,2,2,2,2))]. 2454 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(14(a,1),2443(a,2,1,1))]. 2455 T(x,((y * x) / y) \ 1) = T(x,x \ 1). [hyper(285,a,117,a,b,2454,a),flip(a)]. 2457 T(x,y / (y * x)) = T(x,x \ 1). [hyper(66,a,1990,a(flip),b,2455,a)]. 2459 T(1 / (1 / x),y / (y * x)) = x. [hyper(1870,a,2457,a(flip))]. 2460 T(1 / (1 / x),(y / x) / y) = x. [para(17(a,1),2459(a,1,2,2))]. 2461 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(2460(a,1),210(a,1,2,2))]. 2462 (1 / (1 / (x * L(x \ 1,y,z)))) \ (((x / (x * L(x \ 1,y,z))) * (x * L(x \ 1,y,z))) / x) = (x / (x * L(x \ 1,y,z))) / x. [para(1744(a,2),2461(a,1,2))]. 2465 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(768,a,2429,a)]. 2467 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2422(a,1),1460(a,1,1))]. 2468 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(66,a,1743,a(flip),b,2467,a)]. 2470 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(243(a,2),2468(a,1,1))]. 2471 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(66,a,2244,a(flip),b,2470,a),flip(a)]. 2472 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(285,a,1759,a(flip),b,2471,a),flip(a)]. 2473 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(38,a,2467,a,b,2472,a(flip))]. 2474 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(285,a,203,a(flip),b,2473,a)]. 2475 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(203(a,1),2474(a,2,2,2)),flip(a)]. 2476 (x \ 1) * (x * ((y * x) \ y)) = ((y * x) \ y) * 1. [hyper(285,a,13,a,b,2475,a),flip(a)]. 2477 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(128,a,2475,a)]. 2478 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2477(a,1),268(a,1,1))]. 2479 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(2118,a,2476,a(flip))]. 2480 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(122,a,2479,a(flip),b,2145,a(flip)),flip(a)]. 2482 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(285,a,117,a,b,2480,a),flip(a)]. 2483 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(123,a,2480,a(flip),b,2028,a),flip(a)]. 2484 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(15(a,1),2480(a,1,2,1))]. 2485 T(x,L(x \ 1,x,y)) = (x \ 1) \ 1. [para(203(a,2),2480(a,1,2))]. 2486 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(96(a,1),2482(a,1,2,1))]. 2487 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(285,a,1876,a(flip),b,2483,a),flip(a)]. 2490 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(15(a,1),2487(a,1,2,1)),flip(a)]. 2491 K(x,y \ (y / x)) = K(x,x \ 1). [para(17(a,1),2487(a,1,2,1))]. 2492 K(x \ y,T(y,x) \ ((y * x) / y)) = K(x \ y,(x \ y) \ 1). [para(1033(a,2),2487(a,1,2,1))]. 2493 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2487(a,2),1951(a,1,1))]. 2494 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2487(a,2),2394(a,1,1))]. 2495 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(66,a,626,a,b,2491,a)]. 2497 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(90(a,1),2484(a,1,2))]. 2498 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2484(a,1),263(a,1,2))]. 2499 T(x * y,x \ (1 / y)) / y = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(2484(a,1),897(a,1,2)),flip(a)]. 2500 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2484(a,1),1264(a,1,2)),flip(a)]. 2501 T((x \ y) \ 1,x \ y) = T(x \ y,y \ x) \ 1. [para(2484(a,2),1899(a,2,1))]. 2502 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2494(a,1),2295(a,1,1))]. 2503 (x \ y) \ K(x \ y,y \ x) = 1 / (x \ y). [hyper(122,a,2490,a(flip),b,1903,a(flip))]. 2504 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(14(a,1),2490(a,2,2))]. 2505 T(x,K(y \ z,z \ y)) = x. [para(2490(a,1),2397(a,1,2))]. 2506 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2169,a,2505,a),flip(a)]. 2507 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ (x \ x),y)). [para(2497(a,1),1417(a,1,1,2))]. 2508 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(21(a,2),2486(a,1,2)),flip(a)]. 2509 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(632,a,2508,a),flip(a)]. 2510 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(66,a,2228,a(flip),b,2509,a),flip(a)]. 2515 1 / (1 / K(x,y)) = K(x,y). [para(2510(a,1),181(a,1,2,2))]. 2516 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2502(a,2),401(a,1,1)),flip(a)]. 2518 K(x \ y,T(x / y,T(y,x))) = K(x \ y,(x \ y) \ 1). [para(746(a,1),2492(a,1,2))]. 2519 K(x \ y,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2490,a(flip),b,2518,a),flip(a)]. 2520 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(355(a,1),2478(a,2,1))]. 2521 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(66,a,2504,a(flip),b,2516,a)]. 2522 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * (y * T(y \ 1,y)). [para(79(a,1),2507(a,2,2,2,1,2))]. 2524 (x * (((x \ (x / y)) \ 1) \ 1)) * y = x * K(y \ 1,y). [para(325(a,1),2522(a,2,2))]. 2525 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2426(a,1),2465(a,1,1,2))]. 2526 (x * y) * (1 / (1 / L(y \ z,y,x))) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [hyper(66,a,2436,a(flip),b,2453,a),flip(a)]. 2527 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [hyper(285,a,411,a(flip),b,1613,a),flip(a)]. 2528 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(223(a,1),2527(a,2,2))]. 2529 L(1 / x,K(x \ 1,x),y) * (y * K(x \ 1,x)) = y * ((x \ 1) * (x * T(x \ 1,y))). [para(2262(a,1),2004(a,1,2,2,2)),flip(a)]. 2530 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = L(z,T(x,K(y,y \ 1)),K(y,y \ 1)). [para(2397(a,1),2420(a,1,2,1,1))]. 2531 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(16(a,1),1415(a,1,1))]. 2532 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(16(a,1),2531(a,1,2,1,1)),flip(a)]. 2533 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(14(a,1),2532(a,2,2,1))]. 2534 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(17(a,1),2533(a,1,1,1))]. 2535 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1595(a,1),1801(a,2,1))]. 2536 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(285,a,1158,a(flip),b,2535,a),flip(a)]. 2538 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1158(a,1),2536(a,1,1))]. 2539 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(57,a,2538,a)]. 2540 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1732(a,1),2266(a,1,2))]. 2541 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(721,a,2540,a),flip(a)]. 2542 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(66,a,2307,a(flip),b,2541,a)]. 2543 K(x,y / (x * y)) = K(x,x \ 1). [hyper(66,a,1966,a(flip),b,2542,a),flip(a)]. 2545 K(x / y,(x / y) \ 1) = K(x / y,y / x). [para(17(a,1),2543(a,1,2,2)),flip(a)]. 2546 K(x / (y * x),(x / (y * x)) \ 1) = K(x / (y * x),y). [para(16(a,1),2545(a,2,2))]. 2547 (x * (y * z)) * R((x * (y * z)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). [para(103(a,1),1196(a,1,2,1,1))]. 2548 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1194,a,2547,a),flip(a)]. 2549 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(820(a,1),2548(a,2,2))]. 2550 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(445,a,2549,a),flip(a)]. 2551 L(x * R(x \ 1,L(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). [hyper(66,a,1250,a(flip),b,2550,a),flip(a)]. 2552 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1601(a,1),2551(a,1,1,2)),flip(a)]. 2553 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(285,a,2291,a(flip),b,2552,a),flip(a)]. 2554 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(38,a,243,a(flip),b,2553,a),flip(a)]. 2555 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(90(a,1),2554(a,1,1))]. 2556 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(949(a,1),2555(a,1,2))]. 2557 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [hyper(136,a,2556,a)]. 2558 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(38,a,2340,a,b,2557,a)]. 2560 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1506(a,1),2558(a,1,1)),flip(a)]. 2561 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(285,a,2062,a(flip),b,2066,a),flip(a)]. 2562 ((x \ T(x,y)) * x) * L(z,(x \ 1) * x,T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(886(a,1),1689(a,1,1,1))]. 2563 ((x \ T(x,y)) * x) * L(z,K(x \ 1,x),T(T(x,x \ 1),y)) = R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z). [para(243(a,2),2562(a,1,2,2))]. 2564 R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). [para(1927(a,1),2301(a,1,1,2,1))]. 2565 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). [para(1652(a,1),2564(a,1,1,2)),flip(a)]. 2567 (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). [para(25(a,2),1515(a,2,2,1,1))]. 2568 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1532(a,1),2567(a,1,1))]. 2569 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1610(a,1),2568(a,1,1,1))]. 2570 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(479,a,2569,a),flip(a)]. 2572 R(x * R(x \ 1,R(x,y,z),x \ 1),y,z) = ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z). [hyper(66,a,1160,a(flip),b,2570,a),flip(a)]. 2573 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1654(a,1),2572(a,1,1,2)),flip(a)]. 2574 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(38,a,2302,a(flip),b,2573,a),flip(a)]. 2576 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1517(a,1,2,1,2,1))]. 2577 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(66,a,1178,a(flip),b,2576,a),flip(a)]. 2578 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1177(a,1),2577(a,2,2))]. 2579 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(445,a,2578,a),flip(a)]. 2580 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = L(x,y,z) * (1 / L(x,y,z)). [para(15(a,1),2579(a,1,2,1)),flip(a)]. 2581 L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,1903,a,b,2580,a),flip(a)]. 2582 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1542(a,1),2581(a,1,1))]. 2583 (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(23(a,2),1534(a,2,2,1,1))]. 2584 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(937(a,1),2583(a,1,2))]. 2585 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(823(a,1),2584(a,1,2,2))]. 2586 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2585,a),flip(a)]. 2588 L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). [para(958(a,1),2586(a,1,2))]. 2589 L(x,y,z) * L(L(x,y,z) \ 1,(x \ 1) \ 1,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(1880(a,1),2586(a,2,1,2))]. 2591 L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). [para(13(a,1),2588(a,1,2,2)),flip(a)]. 2592 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2304(a,1),2591(a,1,1)),flip(a)]. 2593 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(285,a,2582,a(flip),b,2592,a),flip(a)]. 2594 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(37,a,1903,a(flip),b,2593,a),flip(a)]. 2595 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(66,a,2560,a,b,2594,a)]. 2596 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [hyper(185,a,2595,a),flip(a)]. 2597 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(87(a,1),2595(a,1,1,1,2)),flip(a)]. 2598 L(1 / (1 / x),y,z) \ ((1 / x) \ 1) = x * (1 / L(x,y,z)). [para(2595(a,1),1818(a,2,2))]. 2599 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(87(a,1),2596(a,1,1,2)),flip(a)]. 2600 L(1 / (1 / (x \ y)),x,1 / x) = 1 / (1 / ((1 / x) * y)). [para(451(a,1),2596(a,2,2,2))]. 2601 L(1 / (1 / ((x \ 1) \ y)),x \ 1,x) = 1 / (1 / (x * y)). [para(452(a,1),2596(a,2,2,2))]. 2602 L(1 / (1 / x),y / x,1 / y) = 1 / ((1 / y) * (y / x)). [para(707(a,1),2596(a,2,2))]. 2603 (x * y) * L(1 / (1 / (y \ z)),y,x) = (x * y) * (1 / (1 / ((x * y) \ (x * z)))). [para(2596(a,2),2526(a,1,2))]. 2604 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [hyper(180,a,2597,a)]. 2605 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(203(a,1),2599(a,1,2,2)),flip(a)]. 2606 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(357(a,1),2599(a,1,2,2)),flip(a)]. 2607 L(1 / x,x,y / x) = 1 / (1 / (y \ (y / x))). [para(361(a,1),2599(a,1,2,2)),flip(a)]. 2608 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = ((y * x) \ y) \ L(1 / x,x,y). [para(2599(a,1),1878(a,2,2))]. 2609 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(87(a,1),2605(a,1,1))]. 2610 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(87(a,1),2604(a,1,1,1,1)),flip(a)]. 2611 L(((x \ y) \ 1) \ 1,x,1 / x) = (((1 / x) * y) \ 1) \ 1. [para(451(a,1),2610(a,2,1,1))]. 2612 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(453(a,1),2610(a,2,1,1))]. 2613 L(T(x \ 1,x),y,z) = (L(x \ 1,y,z) \ 1) \ 1. [para(1899(a,2),2610(a,1,1))]. 2614 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,2362,a,b,2606,a)]. 2615 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(66,a,1603,a,b,2606,a)]. 2616 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [hyper(124,a,2607,a(flip),b,1917,a),flip(a)]. 2617 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2615(a,1),1911(a,1,2)),flip(a)]. 2618 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(37,a,1874,a,b,2614,a)]. 2619 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(285,a,625,a(flip),b,2618,a),flip(a)]. 2620 ((x \ y) \ 1) \ K(y \ x,x \ y) = x \ y. [hyper(122,a,2618,a(flip),b,243,a(flip))]. 2621 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(78(a,1),2618(a,2,1))]. 2622 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2618(a,1),2500(a,1,2))]. 2623 T(x \ 1,y * K(x,x \ 1)) = T(x \ 1,y). [para(2621(a,1),2431(a,1,2,2))]. 2627 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2490(a,1),2617(a,1,2))]. 2628 K(x \ y,y \ x) * x = y * (1 / (1 / (y \ x))). [hyper(66,a,2506,a,b,2627,a)]. 2629 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(66,a,2502,a,b,2619,a)]. 2630 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(285,a,2487,a(flip),b,2629,a),flip(a)]. 2631 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2629(a,1),2521(a,2,1)),flip(a)]. 2633 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1947(a,1),2630(a,1,1))]. 2634 K((x * y) \ x,y) = K(y \ 1,y). [hyper(66,a,2493,a(flip),b,2631,a),flip(a)]. 2636 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(116(a,1),2634(a,1,1,1)),flip(a)]. 2637 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(27(a,1),2636(a,2,2)),flip(a)]. 2638 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). [para(744(a,1),2636(a,2,1,1))]. 2639 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(285,a,1947,a(flip),b,2633,a),flip(a)]. 2640 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2639(a,1),1106(a,1,2)),flip(a)]. 2641 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(123,a,16,a(flip),b,2640,a),flip(a)]. 2643 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [hyper(136,a,2641,a)]. 2644 ((x \ 1) * (x * y)) / (x \ 1) = L(y,x,x \ 1) / (1 / x). [para(2423(a,1),2641(a,1,1))]. 2645 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(66,a,1231,a,b,2643,a)]. 2646 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(16(a,1),2643(a,1,1)),flip(a)]. 2647 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [hyper(136,a,2645,a)]. 2648 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(66,a,153,a(flip),b,2645,a),flip(a)]. 2649 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2416,a,2646,a)]. 2650 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1105,a,2646,a)]. 2651 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2650(a,1,3))]. 2652 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(66,a,1930,a(flip),b,2651,a)]. 2653 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2651(a,1),1929(a,1,1)),flip(a)]. 2654 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2416,a,2648,a)]. 2656 K(x \ 1,x) * (T(x,y) * (1 / x)) = x \ T(x,y). [hyper(285,a,886,a(flip),b,2649,a),flip(a)]. 2658 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(66,a,1982,a(flip),b,2652,a)]. 2659 K(x,x \ 1) * (y * (1 / (1 / x))) = y * x. [hyper(2401,a,2653,a)]. 2660 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(66,a,2616,a(flip),b,2658,a)]. 2661 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(122,a,2658,a(flip),b,2616,a(flip)),flip(a)]. 2662 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) = ((x \ 1) * T(x,y)) \ (x \ T(x,y)). [para(2656(a,1),2330(a,1,2)),flip(a)]. 2663 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(87(a,1),2660(a,1,2,2,2,2)),flip(a)]. 2664 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [hyper(180,a,2661,a)]. 2665 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(87(a,1),2661(a,2,2,2,2))]. 2666 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(14(a,1),2663(a,2,2,2,2))]. 2667 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(181(a,1),2664(a,1,1,2,2)),flip(a)]. 2668 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2609(a,2),2666(a,1,2))]. 2669 x / L(y,y \ 1,x) = x * (1 / y). [para(87(a,1),2668(a,2,2,2))]. 2671 L(x,1 / x,y) = L(x,x \ 1,y). [hyper(554,a,2669,a)]. 2672 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2669(a,2),625(a,1,1,2))]. 2673 L(x \ 1,(x \ 1) \ 1,y) = L(x \ 1,x,y). [para(87(a,1),2671(a,1,2)),flip(a)]. 2674 L(x \ 1,T(x,x \ 1),y) = L(x \ 1,x,y). [para(117(a,2),2673(a,1,2))]. 2675 L(T(x \ 1,x),T(x,x \ 1),y) = (L(x \ 1,x,y) \ 1) \ 1. [para(2674(a,1),2613(a,2,1,1))]. 2676 L(x \ T(x,y),(x \ 1) \ 1,y) = K(1 / (x \ 1),y). [hyper(66,a,2292,a,b,2672,a)]. 2677 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(66,a,2289,a,b,2672,a)]. 2678 x \ ((x / (y \ 1)) * ((y \ 1) * (y * T(y \ 1,x / (y \ 1))))) = K(1 / y,x / (y \ 1)). [hyper(66,a,106,a,b,2677,a)]. 2679 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(90(a,1),2677(a,1,2))]. 2680 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [hyper(180,a,2667,a)]. 2682 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(66,a,2497,a,b,2680,a)]. 2683 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [hyper(124,a,2497,a,b,2680,a(flip))]. 2684 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [hyper(124,a,2682,a(flip),b,27,a(flip))]. 2685 (x / y) * K(y \ 1,y) = x / ((y \ 1) \ 1). [hyper(2447,a,2683,a)]. 2686 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(66,a,2424,a,b,2683,a)]. 2687 (x * y) / ((y \ 1) \ 1) = x * K(y \ 1,y). [para(16(a,1),2685(a,1,1)),flip(a)]. 2688 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(2685(a,1),1458(a,1,1))]. 2689 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(136,a,2687,a)]. 2690 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(T(y,z) \ 1,T(y,z)). [para(2376(a,2),2687(a,1,2))]. 2691 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(16(a,1),2688(a,1,1)),flip(a)]. 2692 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(117(a,2),2688(a,1,1,2))]. 2693 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(611(a,1),2688(a,1,1)),flip(a)]. 2694 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(924(a,1),2688(a,1,1)),flip(a)]. 2695 x * ((y \ 1) \ 1) != z * y | z * K(y \ 1,y) = x. [para(2689(a,1),47(a,1)),flip(a)]. 2697 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2409(a,2),2689(a,1,1))]. 2698 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2646(a,1),2689(a,1,1))]. 2699 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(38,a,481,a,b,2691,a),flip(a)]. 2700 (x * ((y \ 1) \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2691(a,1),2647(a,1,1)),flip(a)]. 2701 (x * K(y \ 1,y)) / y = x / T(y,y \ 1). [hyper(135,a,2692,a)]. 2702 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2416,a,2693,a)]. 2703 L(x * ((y \ 1) \ 1),z,u) * K(y \ 1,y) = (y \ L(y * x,z,u)) * y. [para(2342(a,1),2693(a,1,1))]. 2704 x * ((y \ 1) \ 1) != z * y | K(y \ 1,y) * z = x. [para(2697(a,1),47(a,1)),flip(a)]. 2706 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(482,a,2699,a)]. 2707 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(2699(a,1),202(a,1,2)),flip(a)]. 2708 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(1959(a,2),2699(a,1,2))]. 2709 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(66,a,2699,a(flip),b,2698,a),flip(a)]. 2710 R(x,y \ 1,y) / y = x * (1 / y). [hyper(123,a,2699,a(flip),b,2698,a(flip))]. 2712 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(560,a,2709,a)]. 2713 R(x / (1 / y),y \ 1,y) = x * y. [hyper(293,a,2709,a),flip(a)]. 2714 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2709(a,1),206(a,1,2))]. 2716 ((1 / x) * K(y,x)) * x = R(K(y,x),x \ 1,x). [para(2085(a,1),2709(a,1,1))]. 2717 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2647(a,1),2709(a,1,1)),flip(a)]. 2718 R(x,y \ 1,(y \ 1) \ 1) = R(x,1 / y,y). [hyper(285,a,2706,a,b,2712,a)]. 2719 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(66,a,572,a(flip),b,2712,a),flip(a)]. 2720 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(87(a,1),2712(a,1,2)),flip(a)]. 2721 ((1 / x) * (y * x)) \ (y * R(y / (1 / x),x \ 1,x)) = (1 / x) \ y. [para(2713(a,1),1662(a,1,1,2))]. 2722 L(a(x,1 / y,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2714(a,1),2525(a,1,1))]. 2723 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,1 / (y \ 1),y \ 1). [para(1899(a,2),2718(a,1,3))]. 2724 ((x / y) * (y / x)) * ((x / y) \ 1) = ((y / x) * (x / y)) * (1 / (x / y)). [para(1974(a,1),2700(a,1,1))]. 2725 a(x,y \ 1,(y \ 1) \ 1) = a(x,1 / y,y). [hyper(285,a,2714,a(flip),b,2707,a),flip(a)]. 2726 K(x,y) = L(x \ T(x,y),(x \ 1) \ 1,y). [para(87(a,1),2676(a,2,1)),flip(a)]. 2728 K(x,y) = L(T(x,y) * (x \ 1),(x \ 1) \ 1,y). [para(886(a,2),2726(a,2,1))]. 2729 L(T(x,y) * (x \ 1),(x \ 1) \ 1,y) / (x \ 1) = x * K(x,y). [para(2726(a,2),1084(a,2,2))]. 2730 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1431(a,1),2717(a,2,1))]. 2731 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2637(a,1),2622(a,1,2)),flip(a)]. 2732 (1 / x) \ (1 / (1 / ((1 / x) * y))) = x * (1 / (1 / (x \ y))). [hyper(122,a,2600,a(flip),b,244,a)]. 2733 (x \ 1) * (1 / (1 / ((x \ 1) \ y))) = x \ (1 / (1 / (x * y))). [hyper(122,a,2601,a(flip),b,242,a),flip(a)]. 2734 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(122,a,2611,a(flip),b,244,a)]. 2735 L(x / (y \ 1),y \ 1,y) = L(x,y,y \ 1) / (1 / y). [hyper(66,a,791,a(flip),b,2644,a)]. 2736 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(901(a,1),2679(a,1,1))]. 2737 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(66,a,792,a(flip),b,2736,a),flip(a)]. 2738 K(1 / (1 / x),y) * x = x * K(x,y). [hyper(136,a,2737,a(flip))]. 2739 T(K(1 / (1 / x),y),x) = K(x,y). [para(2737(a,2),208(a,1,1))]. 2740 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(249(a,1),2739(a,1,1,1,2))]. 2741 (x \ ((1 / x) \ K(1 / (1 / x),y))) * x = (1 / x) \ K(x,y). [para(2739(a,1),919(a,2,2))]. 2742 (1 / x) \ K(1 / (1 / x),y) = x * K(x,y). [hyper(66,a,1694,a,b,2738,a)]. 2743 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(87(a,1),2740(a,1,1,1))]. 2745 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(66,a,2022,a(flip),b,2743,a),flip(a)]. 2746 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(117(a,1),2745(a,1,1)),flip(a)]. 2747 x * K((x \ 1) \ 1,y) = K(x,y) * x. [hyper(124,a,2746,a(flip),b,27,a(flip))]. 2748 K(1 / x,y) * (1 / x) = (1 / x) * K(x \ 1,y). [para(90(a,1),2747(a,1,2,1,1)),flip(a)]. 2749 L(1 / (1 / x),y / x,1 / y) \ ((1 / x) \ 1) = x * ((1 / y) * (y / x)). [para(707(a,1),2598(a,2,2))]. 2750 x / ((L(y \ 1,y,x) \ 1) \ 1) = x * T(y,y \ 1). [para(2675(a,1),1933(a,1,2))]. 2751 T(K(x,y),L(x \ 1,x,y) \ 1) = K(y \ (y * T(x,x \ 1)),y). [para(2750(a,1),1404(a,2,1,2))]. 2752 R(x,(y \ 1) \ 1,T(y \ 1,y)) = R(x,y,y \ 1). [para(87(a,1),2723(a,2,2))]. 2754 R(x,T(y,y \ 1),T(y \ 1,y)) = R(x,y,y \ 1). [para(117(a,2),2752(a,1,2))]. 2755 x * K(x \ (y \ 1),(y \ 1) \ x) = y \ (1 / (1 / (y * x))). [hyper(66,a,2627,a,b,2733,a)]. 2756 (1 / x) \ ((((1 / x) * y) \ 1) \ 1) = y * K(x \ y,y \ x). [hyper(285,a,2622,a,b,2734,a),flip(a)]. 2757 (x \ (x * K(x,y))) * x = (1 / x) \ K(x,y). [para(2742(a,1),2741(a,1,1,2))]. 2758 (1 / x) \ K(x,y) = K(x,y) * x. [para(14(a,1),2757(a,1,1)),flip(a)]. 2761 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2484(a,2),2612(a,1,1))]. 2762 K(x,y) / (x \ 1) = x * K(x,y). [para(2728(a,2),2729(a,1,1))]. 2763 (x * K(x,y)) * (x \ 1) = K(x,y). [hyper(136,a,2762,a)]. 2764 T(K(x,y),L(x \ 1,x,y) \ 1) = K(T(x,x \ 1),y). [hyper(285,a,625,a(flip),b,2751,a),flip(a)]. 2766 T(K(x,y),L(x \ 1,x,y) \ 1) = K((x \ 1) \ 1,y). [para(117(a,1),2764(a,2,1))]. 2767 T(K(x,y),((y * x) \ y) \ 1) = K((x \ 1) \ 1,y). [para(203(a,1),2766(a,1,2,1))]. 2769 K((x \ 1) \ 1,y) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2767(a,1),2346(a,1))]. 2770 ((1 / x) * (y * x)) \ (y * (y * x)) = (1 / x) \ y. [para(2713(a,1),2721(a,1,2,2))]. 2771 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(66,a,695,a(flip),b,2761,a)]. 2772 T(x * y,y \ (x \ 1)) = ((1 \ (x * y)) \ 1) \ 1. [hyper(66,a,566,a(flip),b,2761,a)]. 2773 T(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [para(78(a,1),2772(a,2,1,1))]. 2774 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(19(a,2),2771(a,1,1))]. 2775 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [hyper(285,a,1848,a(flip),b,2724,a),flip(a)]. 2777 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [hyper(123,a,87,a(flip),b,2775,a),flip(a)]. 2778 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [para(87(a,1),2777(a,1,2)),flip(a)]. 2780 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(2778(a,1),1466(a,1,2,1,2))]. 2781 (1 / ((1 / x) * (x / y))) \ ((1 / y) \ 1) = y * ((1 / x) * (x / y)). [para(2602(a,1),2749(a,1,1))]. 2782 (1 / ((1 / x) * (x / y))) \ y = y * ((1 / x) * (x / y)). [para(90(a,1),2781(a,1,2))]. 2783 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [hyper(265,a,2603,a),flip(a)]. 2784 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(15(a,1),2783(a,1,2,2,2,2))]. 2786 L(K(T(x,y),1 / x),T(x,y) / x,K(x \ 1,x)) != z | K(T(x,y),x \ 1) = z. [para(2662(a,2),888(a,1))]. 2787 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(23(a,2),2774(a,1,2,2))]. 2788 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(19(a,2),2787(a,2,1,1))]. 2789 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1036(a,1),2638(a,2,1))]. 2790 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [hyper(285,a,2519,a(flip),b,2789,a),flip(a)]. 2791 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(14(a,1),2780(a,1,2,1)),flip(a)]. 2792 (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). [para(25(a,2),1605(a,2,2,1,1))]. 2793 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1550(a,1),2792(a,1,1))]. 2794 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1586(a,1),2793(a,1,1,1))]. 2795 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(479,a,2794,a),flip(a)]. 2796 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(693(a,1),2795(a,2,1,2))]. 2797 R(x,y,z) * ((R(x,y,z) / x) \ ((1 / x) * 1)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). [para(1627(a,1),2795(a,1,2))]. 2798 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1162(a,1),2796(a,1,2))]. 2799 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(186(a,1),2798(a,2,1,2))]. 2800 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1903(a,2),2799(a,2,1))]. 2801 R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). [para(13(a,1),2797(a,1,2,2)),flip(a)]. 2802 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(112(a,1),2046(a,1,1,1,2,2)),flip(a)]. 2803 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(285,a,798,a(flip),b,2802,a),flip(a)]. 2804 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(285,a,2043,a(flip),b,2803,a),flip(a)]. 2805 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(798(a,1),2804(a,1,1))]. 2806 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2045(a,1),2805(a,2,1))]. 2807 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(38,a,112,a,b,2806,a),flip(a)]. 2808 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1538,a,2807,a),flip(a)]. 2809 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = R(x,y,z) * (1 / R(x,y,z)). [para(15(a,1),2807(a,1,2,1)),flip(a)]. 2810 R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,1903,a,b,2809,a),flip(a)]. 2811 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1150(a,1),2810(a,1,1,2,1))]. 2812 K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(2791(a,1),1165(a,1,1,2))]. 2813 K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). [para(17(a,1),2812(a,1,1,2))]. 2815 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1157(a,1),2813(a,1,1)),flip(a)]. 2817 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = ((y * K(x,y)) * (y \ T(y,u))) * z. [para(883(a,1),2205(a,2,1,2))]. 2818 (1 / x) * ((((y * x) \ y) \ (((y * x) \ y) * x)) * ((y * x) \ y)) = (T(x,(y * x) \ y) / x) * ((y * x) \ y). [para(901(a,1),1394(a,2,1))]. 2819 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = (1 / x) * (x * ((y * x) \ y)). [para(14(a,1),2818(a,1,2,1)),flip(a)]. 2820 (T(x,(y * x) \ y) / x) * ((y * x) \ y) = L(1 / x,x,y). [hyper(285,a,826,a(flip),b,2819,a),flip(a)]. 2821 K(x,(y * x) \ y) * ((y * x) \ y) = L(1 / x,x,y). [para(2030(a,1),2820(a,1,1))]. 2822 K(x,x \ 1) * ((y * x) \ y) = L(1 / x,x,y). [para(2487(a,1),2821(a,1,1))]. 2823 ((x * y) \ x) \ L(1 / y,y,x) = K(y,y \ 1). [hyper(122,a,2822,a(flip),b,2398,a(flip))]. 2825 K(L(x \ 1,x,y) \ 1,L(x \ 1,x,y)) = K(x,x \ 1). [hyper(66,a,2608,a,b,2823,a)]. 2827 x * T(y,L(y \ 1,y,x)) = (x * y) * K(y,y \ 1). [para(2825(a,1),1284(a,1,2)),flip(a)]. 2828 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2485(a,1),2827(a,1,2)),flip(a)]. 2830 K(x,x \ 1) * (y * x) = y * ((x \ 1) \ 1). [hyper(2401,a,2828,a)]. 2831 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(293,a,2828,a),flip(a)]. 2832 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(66,a,1979,a,b,2828,a)]. 2833 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(116(a,1),2828(a,1,1))]. 2835 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(285,a,280,a,b,2830,a),flip(a)]. 2836 (x / y) * ((y \ 1) \ 1) = K(y,y \ 1) * x. [para(17(a,1),2830(a,1,2)),flip(a)]. 2837 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(123,a,338,a(flip),b,2832,a),flip(a)]. 2838 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(38,a,2698,a(flip),b,2832,a),flip(a)]. 2839 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(38,a,2697,a(flip),b,2832,a),flip(a)]. 2840 (x * K(y \ 1,y)) * K(y,y \ 1) = x. [hyper(38,a,2689,a(flip),b,2832,a),flip(a)]. 2841 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(2704,a,2832,a(flip))]. 2842 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(2695,a,2832,a(flip))]. 2844 (x * K(y,y \ 1)) * y = x * (K(y,y \ 1) * y). [para(1888(a,2),2832(a,2,2))]. 2845 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2401,a,2839,a)]. 2846 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(38,a,2653,a,b,2839,a),flip(a)]. 2847 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(38,a,2398,a(flip),b,2839,a),flip(a)]. 2848 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(38,a,2024,a(flip),b,2839,a),flip(a)]. 2849 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2654(a,1),2839(a,1,1))]. 2850 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2401,a,2840,a)]. 2851 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(293,a,2840,a),flip(a)]. 2852 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(287,a,2840,a)]. 2853 (x * y) * K(y \ 1,y) = x * (1 / (1 / y)). [hyper(38,a,2653,a,b,2840,a),flip(a)]. 2854 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [hyper(38,a,2398,a(flip),b,2840,a),flip(a)]. 2855 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2841(a,1),46(a,1)),flip(a)]. 2856 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2841(a,1),105(a,2,1))]. 2857 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(303,a,2845,a),flip(a)]. 2858 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2845(a,1),46(a,1)),flip(a)]. 2859 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2845(a,1),2449(a,1)),flip(a)]. 2860 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2649(a,1),2845(a,1,2))]. 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2654(a,1),2845(a,1,2))]. 2862 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2847(a,1),46(a,1)),flip(a)]. 2863 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2847(a,1),2411(a,1)),flip(a)]. 2864 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(66,a,2640,a,b,2851,a)]. 2865 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2854(a,1),113(a,2,1))]. 2866 (K(x,x \ 1) * y) * (x \ 1) = y * (1 / x). [para(2854(a,1),2647(a,1,1)),flip(a)]. 2867 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2857(a,1),2317(a,1,2,1))]. 2868 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(2268,a,2835,a)]. 2869 K(x,x \ 1) * (((x \ y) / y) * x) = x * ((x \ y) / y). [hyper(285,a,1960,a(flip),b,2835,a),flip(a)]. 2870 K(x,x \ 1) * (((x \ y) / y) * x) != z | x * ((x \ y) / y) = z. [para(2835(a,2),1961(a,1))]. 2871 L(K(x,x \ 1) * y,z,u) * K(x \ 1,x) = (x \ L(x * (y / x),z,u)) * x. [para(2836(a,1),2703(a,1,1,1))]. 2872 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). [para(2838(a,1),469(a,1,1))]. 2873 K(x / (y * x),y) = K(y \ 1,y). [hyper(38,a,2018,a,b,2848,a)]. 2874 K(x / (y * x),(x / (y * x)) \ 1) = K(y \ 1,y). [hyper(66,a,2546,a,b,2873,a)]. 2875 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(17(a,1),2873(a,1,1,2)),flip(a)]. 2877 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(16(a,1),2875(a,2,1))]. 2878 L(x,K(x,x \ 1),y) = x. [hyper(445,a,2844,a)]. 2879 L(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2878(a,1,2))]. 2880 x * ((y \ 1) * (y * T(y \ 1,x))) = (1 / y) * (x * K(y \ 1,y)). [para(2879(a,1),2529(a,1,1)),flip(a)]. 2883 K(x \ 1,x) * (y / (x * y)) = ((y / (x * y)) \ 1) \ 1. [para(2874(a,1),1888(a,1,1))]. 2884 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(285,a,2543,a(flip),b,2877,a),flip(a)]. 2886 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2884(a,1),1958(a,1,1))]. 2887 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2405,a,2886,a)]. 2888 K(x,x \ 1) * (x * y) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2886,a),flip(a)]. 2889 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(123,a,2886,a(flip),b,1999,a(flip))]. 2890 K(x,x \ 1) * L(y,x \ 1,x) = T(x,x \ 1) * ((x \ 1) * y). [para(242(a,1),2886(a,1,2))]. 2892 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(285,a,281,a(flip),b,2887,a),flip(a)]. 2893 ((x \ 1) \ 1) * (x \ y) = K(x,x \ 1) * y. [hyper(303,a,2888,a),flip(a)]. 2894 K(x \ 1,x) \ (x * y) = ((x \ 1) \ 1) * y. [hyper(66,a,2857,a,b,2888,a)]. 2895 K(x * y,(x * y) \ 1) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(96(a,1),2888(a,1,2))]. 2896 R(x,K(x,x \ 1),y) = x. [hyper(1969,a,2889,a)]. 2897 K(x,x \ 1) * (T(x,x \ 1) \ y) = x \ y. [para(2889(a,1),269(a,1,1)),flip(a)]. 2899 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1947(a,1),2896(a,1,2))]. 2900 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T(R(1 / x,K(x \ 1,x),z) \ 1,y). [para(2899(a,1),2299(a,1,1)),flip(a)]. 2901 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(66,a,2256,a(flip),b,2892,a)]. 2903 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(2892(a,1),2623(a,1,2))]. 2905 ((x \ 1) \ 1) * (x \ y) = (y / x) * ((x \ 1) \ 1). [hyper(285,a,2836,a,b,2893,a),flip(a)]. 2906 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(122,a,2845,a(flip),b,2893,a),flip(a)]. 2907 K(x,x \ 1) * (T(x,y) \ 1) = x * (T(x,y) \ (1 / x)). [hyper(66,a,1995,a(flip),b,2893,a),flip(a)]. 2908 K(x \ 1,x) * (x \ y) = T(x,x \ 1) \ y. [hyper(2858,a,2897,a)]. 2909 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [para(117(a,1),2897(a,1,2,1))]. 2910 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [para(90(a,1),2901(a,2,1,1))]. 2911 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [para(2839(a,1),2901(a,1,2)),flip(a)]. 2912 ((x \ 1) \ 1) * (y * (x \ 1)) = x * (y * (1 / x)). [para(2838(a,1),2901(a,1,2)),flip(a)]. 2913 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(117(a,2),2906(a,2,1))]. 2914 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(2621(a,1),2906(a,1,2,1))]. 2915 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [para(117(a,1),2908(a,2,1))]. 2916 T(x,T(x,x \ 1) \ y) = T(x,x \ y). [para(2908(a,1),2278(a,1,2))]. 2917 T(1 / (1 / x),(1 / (1 / x)) \ y) = T(1 / (1 / x),x \ y). [para(324(a,1),2916(a,1,2,1)),flip(a)]. 2918 K(x / y,(x / y) \ 1) \ y = (((x / y) \ 1) \ 1) \ x. [hyper(122,a,90,a(flip),b,2909,a)]. 2919 T(x,x \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(642,a,2911,a)]. 2920 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(128,a,2911,a)]. 2921 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(122,a,2911,a(flip),b,2425,a(flip))]. 2922 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2686(a,1),2911(a,1,2))]. 2923 x * (T(T(x,x \ 1),y) * (T(x,x \ 1) \ z)) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(124,a,993,a(flip),b,2913,a)]. 2924 x * (T(T(x,y),z) * (T(x,x \ 1) \ u)) = T(T(x,y),z) * (K(x \ 1,x) * u). [para(2913(a,1),1790(a,1,2,2))]. 2925 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2409(a,1),2913(a,1,2))]. 2926 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(122,a,2915,a(flip),b,1140,a(flip)),flip(a)]. 2927 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2915(a,1),2697(a,1,1))]. 2929 (((x \ y) \ 1) \ 1) * (y * (((y \ x) \ 1) \ 1)) = (x \ y) * x. [hyper(124,a,2500,a(flip),b,2921,a)]. 2930 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(90(a,1),2926(a,2,2,1,1))]. 2932 (((x \ y) \ 1) \ 1) * (y / (((x \ y) \ 1) \ 1)) = (x \ y) * x. [para(87(a,1),2922(a,2,2))]. 2933 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(66,a,2848,a(flip),b,2883,a)]. 2934 (R(1 / x,x,y) \ 1) \ 1 = R(x \ 1,x,y). [para(205(a,2),2933(a,2,1,1)),flip(a)]. 2935 ((((x * y) / (R(z,x,y) * (x * y))) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2933(a,1),485(a,1,1))]. 2938 (1 / x) * (y * K(x \ 1,x)) = (x \ 1) * y. [para(1947(a,1),2910(a,1,2,2))]. 2939 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2265,a,2938,a)]. 2940 T((x \ 1) * y,K(z \ 1,z)) = (1 / x) * (y * K(x \ 1,x)). [hyper(285,a,2407,a,b,2938,a)]. 2941 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(122,a,15,a(flip),b,2938,a),flip(a)]. 2942 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [hyper(66,a,2425,a,b,2938,a)]. 2944 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2648(a,1),2938(a,1,2))]. 2945 (x \ 1) * (y * K(x,x \ 1)) = (1 / x) * y. [para(2842(a,1),2938(a,1,2)),flip(a)]. 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2854(a,1),2938(a,1,2)),flip(a)]. 2947 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2939,a)]. 2948 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [hyper(2416,a,2939,a)]. 2949 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(513,a,2939,a),flip(a)]. 2950 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(38,a,2842,a,b,2939,a)]. 2951 (1 / x) * (x * y) = L(y,x,x \ 1). [hyper(38,a,2423,a,b,2939,a),flip(a)]. 2953 ((x \ 1) * y) / ((1 / x) * y) = K(x \ 1,x). [hyper(123,a,2939,a(flip),b,2409,a)]. 2954 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2939(a,1),2431(a,1,2)),flip(a)]. 2955 K(x \ 1,x) * y != (x \ 1) * z | (1 / x) * z = y. [para(2939(a,1),2411(a,2)),flip(b)]. 2956 ((x \ 1) * y) * ((x \ 1) \ 1) = ((1 / x) * y) * x. [para(2939(a,1),2689(a,1,1))]. 2957 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2951,a)]. 2958 L(x \ y,x,x \ 1) = (1 / x) * y. [hyper(303,a,2951,a),flip(a)]. 2959 L(x,y,y \ 1) / (y * x) = 1 / y. [hyper(135,a,2951,a)]. 2960 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(128,a,2951,a)]. 2961 L(L(x \ y,z,u),x,x \ 1) = L((1 / x) * y,z,u). [hyper(66,a,1082,a(flip),b,2951,a),flip(a)]. 2962 L(x,y / x,(y / x) \ 1) = (1 / (y / x)) * y. [para(17(a,1),2951(a,1,2)),flip(a)]. 2963 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(116(a,1),2951(a,1,2)),flip(a)]. 2964 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(242(a,1),2951(a,1,2)),flip(a)]. 2965 L(x,y,y \ 1) \ x = a(1 / y,y,x). [para(2951(a,1),204(a,1,1))]. 2966 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2951(a,1),273(a,1,1))]. 2967 L(T(x,y) \ 1,x,x \ 1) = (1 / x) * (T(x,y) \ x). [para(1000(a,1),2951(a,1,2)),flip(a)]. 2968 L(L(x,y,z) \ 1,x,x \ 1) = (1 / x) * (L(x,y,z) \ x). [para(1246(a,1),2951(a,1,2)),flip(a)]. 2969 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(87(a,1),2957(a,1,3)),flip(a)]. 2970 L(x,1 / y,K(y \ 1,y)) = x. [hyper(2027,a,2958,a),flip(a)]. 2971 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2958(a,1),585(a,1,2))]. 2972 T(x,y) * L(T(x,y) \ 1,x,x \ 1) = T(x * ((1 / x) * 1),y). [para(2958(a,1),1830(a,2,1,2))]. 2973 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1904(a,1),2970(a,1,3))]. 2974 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2973(a,1),2098(a,1,2)),flip(a)]. 2975 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2941,a)]. 2976 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(2416,a,2941,a)]. 2977 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(38,a,2842,a,b,2941,a)]. 2979 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2941(a,1),2647(a,1,1))]. 2980 K(x \ 1,x) * K(y \ (x \ 1),y) = (1 / x) \ ((y \ (x \ 1)) * y). [hyper(122,a,271,a(flip),b,2942,a),flip(a)]. 2982 (x \ 1) * (K(x,x \ 1) * L((1 / x) \ y,z,u)) = L(y * x,z,u) / x. [hyper(285,a,1505,a(flip),b,2946,a),flip(a)]. 2983 (1 / x) \ (K(x,x \ 1) * y) = (x \ 1) \ y. [hyper(552,a,2947,a)]. 2984 (1 / x) * ((x \ 1) \ y) = K(x,x \ 1) * y. [hyper(303,a,2947,a),flip(a)]. 2987 K(x,x \ 1) \ ((1 / x) * y) != z | (x \ 1) * y = z. [para(2947(a,1),304(a,1,2)),flip(b)]. 2988 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2947(a,1),178(a,1,1,2))]. 2989 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2947(a,1),447(a,1,2,2))]. 2990 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(552,a,2948,a)]. 2991 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [hyper(303,a,2948,a),flip(a)]. 2992 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2948(a,1),25(a,2,2)),flip(a)]. 2993 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2948(a,1),501(a,1,1))]. 2994 ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). [para(2948(a,1),442(a,1,1))]. 2995 T(x,x \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2948(a,1),2919(a,1,2))]. 2996 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / (((1 / x) * T((1 / x) \ 1,z)) * y) = K(x \ 1,x). [para(1364(a,1),2953(a,1,2))]. 2997 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2859,a,2974,a)]. 2998 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2858,a,2974,a)]. 2999 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(271(a,1),2974(a,1,2))]. 3000 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2974(a,1),2866(a,1,1)),flip(a)]. 3001 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [hyper(122,a,2975,a(flip),b,2893,a)]. 3002 K(x,x \ 1) * (((x \ y) / y) * x) = (x \ 1) \ ((x \ y) / y). [para(1130(a,1),2975(a,1,2))]. 3003 K((1 / T(x,y)) \ 1,1 / T(x,y)) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(2381(a,1),2976(a,2,1))]. 3004 (1 / x) \ (K(x,x \ 1) * (T(x,y) \ 1)) = (x \ T(x,y)) \ 1. [hyper(285,a,2325,a(flip),b,2983,a),flip(a)]. 3005 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [hyper(124,a,1181,a(flip),b,2990,a),flip(a)]. 3006 (x \ 1) * (y * T(y \ ((1 / x) \ y),z)) = ((x \ 1) * T(x,z)) * y. [para(2990(a,1),1418(a,1,2,2,1,2))]. 3007 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2618(a,1),2997(a,1,2))]. 3008 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(303,a,2998,a),flip(a)]. 3009 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(66,a,1453,a(flip),b,2998,a)]. 3010 ((1 / (1 / x)) * y) / (K(x \ 1,x) * y) = x. [hyper(123,a,2998,a(flip),b,1453,a(flip))]. 3012 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(285,a,2846,a(flip),b,3008,a),flip(a)]. 3013 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(122,a,15,a(flip),b,3009,a),flip(a)]. 3014 x * (y * K(x \ 1,x)) = (1 / (1 / x)) * y. [hyper(66,a,2425,a(flip),b,3009,a)]. 3015 R(x,K(x \ 1,x),y) = x. [hyper(1885,a,3010,a)]. 3017 (T(x,y) * K(x \ 1,x)) * z = T(x,y) * (K(x \ 1,x) * z). [para(3015(a,1),471(a,1,1,1)),flip(a)]. 3018 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(3013(a,1),2697(a,1,1)),flip(a)]. 3019 K(x \ 1,x) * (K(1 / x,y) * (1 / x)) = x \ K(1 / x,y). [para(2758(a,1),3013(a,1,2))]. 3020 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [hyper(285,a,2997,a,b,3014,a)]. 3021 T((x \ 1) * (y / (x \ 1)),K(z \ 1,z)) = (1 / x) * (y / (1 / x)). [hyper(285,a,2407,a,b,2944,a)]. 3022 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [hyper(2203,a,2956,a),flip(a)]. 3023 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(271(a,1),3000(a,1,1)),flip(a)]. 3024 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ z) = T(x,y) \ ((1 / T(x,y)) \ z). [para(2379(a,2),3001(a,1,1))]. 3025 (1 / (1 / x)) * (x \ y) = (y / x) * (1 / (1 / x)). [para(17(a,1),3012(a,1,2,2))]. 3026 (1 / (1 / x)) * T(y,x) = y * (1 / (1 / x)). [para(27(a,2),3012(a,1,2))]. 3027 T(x,1 / (1 / y)) = T(x,y). [hyper(376,a,3026,a),flip(a)]. 3028 T(x,1 / y) = T(x,y \ 1). [para(87(a,1),3027(a,1,2,2))]. 3029 T(x,(y \ 1) \ 1) = T(x,y). [para(181(a,1),3027(a,1,2)),flip(a)]. 3031 T(((1 / x) * y) * x,x \ 1) = R(y,1 / x,x). [hyper(66,a,725,a(flip),b,3028,a),flip(a)]. 3032 (1 / x) * T(y,x \ 1) = y * (1 / x). [hyper(124,a,3028,a(flip),b,27,a(flip))]. 3033 ((1 / x) \ (y / x)) * (1 / x) = T(y,x \ 1) / x. [para(3028(a,1),923(a,2,1))]. 3034 T(x,T(y,y \ 1)) = T(x,y). [para(117(a,2),3029(a,1,2))]. 3035 T(x,T(y \ 1,y)) = T(x,y \ 1). [para(1899(a,2),3029(a,1,2))]. 3036 T(x,T((y \ 1) \ 1,z)) = T(x,T(y,z)). [para(2379(a,2),3029(a,1,2))]. 3037 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2383(a,1),3029(a,1,2)),flip(a)]. 3038 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2484(a,2),3029(a,1,2))]. 3041 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(2934(a,1),3029(a,1,2)),flip(a)]. 3044 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(124,a,3034,a(flip),b,27,a(flip))]. 3045 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [para(3034(a,1),614(a,1,2))]. 3046 (1 / x) * T(y,x \ 1) = y * (1 \ (1 / x)). [para(78(a,2),3032(a,2,2))]. 3048 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3044(a,1),2565(a,2,1))]. 3049 (T(x,x \ 1) \ 1) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(3045(a,2),543(a,2,1))]. 3050 T((K(x,x \ 1) * y) * x,x \ 1) = R((x \ 1) \ y,1 / x,x). [para(2984(a,1),3031(a,1,1,1))]. 3051 R(x,y,K(x \ 1,x)) = x. [hyper(475,a,3020,a)]. 3052 R(1 / x,y,K(x,x \ 1)) = 1 / x. [para(1904(a,1),3051(a,1,3))]. 3053 R(R(1 / x,y,z),u,K(x,x \ 1)) = R(1 / x,y,z). [para(3052(a,1),36(a,1,1)),flip(a)]. 3054 T(x,(y \ x) \ 1) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(87(a,1),3033(a,1,1,2)),flip(a)]. 3055 K(x \ 1,x) \ (x * y) = (((y / (x * y)) \ 1) \ 1) \ y. [para(2874(a,1),2918(a,1,1))]. 3057 T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(2964(a,2),1827(a,1,1))]. 3058 R(x \ 1,x,y) \ y = K(x \ 1,x) \ (x * y). [para(2933(a,2),3055(a,2,1)),flip(a)]. 3059 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [hyper(285,a,2894,a(flip),b,3058,a),flip(a)]. 3060 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(555,a,3059,a)]. 3061 R(x \ 1,x,y) \ y = T(x,x \ 1) * y. [hyper(285,a,281,a,b,3059,a),flip(a)]. 3062 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(185,a,3059,a),flip(a)]. 3063 R(x,1 / x,y) \ y = (((1 / x) \ 1) \ 1) * y. [para(90(a,1),3059(a,1,1,1))]. 3064 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [hyper(185,a,3061,a)]. 3065 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3062(a,2),118(a,1,1))]. 3066 T(x,R(y \ 1,(y \ 1) \ 1,z)) = T(x,R(1 / y,y,z)). [para(3060(a,2),3041(a,2,2)),flip(a)]. 3067 R(x,1 / x,y) \ y = (x \ 1) * y. [para(90(a,1),3063(a,2,1,1))]. 3068 R(x,1 / x,y) = R(x,x \ 1,y). [hyper(555,a,3067,a),flip(a)]. 3069 L(R(x,x \ 1,y),x \ 1,x) = R(1 / (1 / x),1 / x,y). [para(3068(a,1),1886(a,1,1))]. 3070 R(1 / (1 / x),1 / x,y) = R(1 / (1 / x),x \ 1,y). [hyper(66,a,1886,a(flip),b,3069,a),flip(a)]. 3071 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(66,a,368,a(flip),b,3070,a),flip(a)]. 3072 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(3071(a,2),99(a,1,2,2))]. 3073 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2395(a,1),2833(a,1,2))]. 3074 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(285,a,2382,a(flip),b,3073,a),flip(a)]. 3075 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [hyper(37,a,2929,a,b,2932,a),flip(a)]. 3077 (x \ 1) \ ((x \ y) / y) = x * ((x \ y) / y). [hyper(66,a,2869,a(flip),b,3002,a),flip(a)]. 3078 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3077,a),flip(a)]. 3079 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3078(a,1),2811(a,1,1))]. 3080 (1 / x) \ (x * (T(x,y) \ (1 / x))) = (x \ T(x,y)) \ 1. [para(2907(a,1),3004(a,1,2))]. 3081 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2495(a,1),3007(a,1,2))]. 3082 L(x,K(y \ 1,y),T(y,z)) = x. [hyper(445,a,3017,a)]. 3083 K(x \ 1,x) * ((1 / x) * K(x \ 1,y)) = x \ K(1 / x,y). [para(2748(a,1),3019(a,1,2))]. 3084 (x \ 1) * K(x \ 1,y) = x \ K(1 / x,y). [hyper(66,a,2948,a(flip),b,3083,a)]. 3085 (x \ K(1 / x,y)) * ((x \ 1) \ 1) = K(x \ 1,y). [para(3084(a,1),2763(a,1,1))]. 3086 (x \ (y \ ((1 / x) * (y / (1 / x))))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(99(a,2),3085(a,1,1,2))]. 3087 (x \ 1) \ ((x \ y) / y) != z | x * ((x \ y) / y) = z. [para(3002(a,1),2870(a,1))]. 3088 K(x,x \ 1) * L(y,x \ 1,x) = x * ((1 / x) * y). [hyper(285,a,2995,a(flip),b,2890,a),flip(a)]. 3089 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(1918,a,3088,a)]. 3090 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(87(a,1),3089(a,1,2)),flip(a)]. 3091 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(539,a,3090,a),flip(a)]. 3092 L(x,y,z) * L(L(x,y,z) \ 1,x,x \ 1) = L(x * (1 / (1 / (x \ 1))),y,z). [para(3090(a,1),2589(a,1,2))]. 3093 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2921(a,1),3091(a,1,1))]. 3094 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2949(a,2),3093(a,1,1))]. 3095 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * ((1 / x) * 1),y). [para(2967(a,1),2972(a,1,2))]. 3096 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(13(a,1),3095(a,2,1,2))]. 3097 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(K(x,x \ 1),y). [para(1903(a,2),3096(a,2,1))]. 3098 T(x,y) \ K(x,x \ 1) = (1 / x) * (T(x,y) \ x). [hyper(122,a,2394,a(flip),b,3097,a)]. 3099 T(x * T(y,y \ 1),y \ 1) = R((y \ 1) \ x,1 / y,y). [para(2868(a,1),3050(a,1,1))]. 3100 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,32,a,b,3065,a)]. 3101 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2903(a,1),3100(a,1,1))]. 3102 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(66,a,980,a(flip),b,3101,a)]. 3103 T(((1 / x) * y) \ y,1 / x) = ((x \ 1) * y) \ y. [para(90(a,1),3102(a,2,1,1,1))]. 3104 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(117(a,2),3102(a,2,1,1)),flip(a)]. 3105 T((x \ 1) * y,K(z \ 1,z)) = y * ((x \ 1) * (x * T(x \ 1,y))). [hyper(285,a,2940,a,b,2880,a)]. 3107 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1906(a,1),3081(a,1,2))]. 3108 x \ T((y \ 1) * (x / (y \ 1)),K(z \ 1,z)) = K(1 / y,x / (y \ 1)). [para(3105(a,2),2678(a,1,2))]. 3109 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2271(a,1),2993(a,1,2))]. 3110 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3109(a,1),1397(a,2,2,1,2)),flip(a)]. 3112 x \ ((1 / y) * (x / (1 / y))) = K(1 / y,x / (y \ 1)). [para(3021(a,1),3108(a,1,2))]. 3113 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2835(a,1),2867(a,1,2,1))]. 3114 K(x \ 1,x) * L(K(x,x \ 1) * y,z,u) = (x \ L(x * (y / x),z,u)) * x. [hyper(2416,a,2871,a)]. 3115 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(285,a,464,a,b,3023,a)]. 3116 (x \ K(1 / x,y / (x \ 1))) * ((x \ 1) \ 1) = K(x \ 1,y / (1 / x)). [para(3112(a,1),3086(a,1,1,2))]. 3117 K(x \ 1,y / (1 / x)) = K(x \ 1,y / (x \ 1)). [hyper(66,a,3085,a(flip),b,3116,a),flip(a)]. 3118 K(x \ 1,(y * (1 / x)) / (x \ 1)) = K(x \ 1,y). [para(16(a,1),3117(a,1,2)),flip(a)]. 3119 K(x \ 1,(y / (x \ 1)) * (1 / x)) = K(x \ 1,y). [para(1233(a,1),3118(a,1,2))]. 3120 K(x \ 1,y * K(x,x \ 1)) = K(x \ 1,y). [para(2864(a,1),3119(a,1,2))]. 3121 K(x \ 1,K(x \ 1,x) * y) = K(x \ 1,y). [para(2839(a,1),3120(a,1,2)),flip(a)]. 3122 K(x \ 1,((x \ 1) \ 1) * y) = K(x \ 1,x * y). [para(2892(a,1),3120(a,1,2))]. 3124 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / (1 / (x \ 1))),y,z). [para(2968(a,1),3092(a,1,2))]. 3125 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(87(a,1),3124(a,2,1,2,2))]. 3127 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1903(a,2),3125(a,2,1))]. 3128 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2665(a,1),3107(a,2,1))]. 3129 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3128(a,1),2730(a,1,1))]. 3130 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2398(a,1),3114(a,1,2,1))]. 3131 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(207(a,1),3048(a,2,1))]. 3132 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(285,a,348,a(flip),b,3131,a),flip(a)]. 3135 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [hyper(124,a,3132,a(flip),b,97,a),flip(a)]. 3136 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = x \ 1. [hyper(285,a,13,a(flip),b,3135,a),flip(a)]. 3137 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(3136(a,1),294(a,1,1)),flip(b)]. 3138 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(3137,a,2574,a)]. 3139 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(122,a,3138,a(flip),b,2195,a)]. 3140 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(90(a,1),3138(a,1,2))]. 3141 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1086(a,1),3140(a,1,1))]. 3142 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1635(a,1),3141(a,1,1)),flip(a)]. 3143 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(883(a,1),3129(a,2,1,2))]. 3144 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = K(x \ 1,x) * (T(T(x,x \ 1),y) * z). [hyper(66,a,2924,a(flip),b,2923,a)]. 3145 K(T(x,y),T(x,y) \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(1904(a,1),3003(a,1,1))]. 3147 ((x \ 1) * (y * T(y \ ((1 / x) \ y),z))) / ((T(x,z) / x) * y) = K(x \ 1,x). [para(901(a,1),2996(a,1,2,1))]. 3148 (((x \ 1) * T(x,y)) * z) / ((T(x,y) / x) * z) = K(x \ 1,x). [para(3006(a,1),3147(a,1,1))]. 3149 K(x \ 1,x) * ((T(x,y) / x) * z) = ((x \ 1) * T(x,y)) * z. [hyper(136,a,3148,a)]. 3150 ((x \ 1) * T(x,y)) \ (((x \ 1) * T(x,y)) * z) = L(z,T(x,y) / x,K(x \ 1,x)). [para(3149(a,1),2329(a,1,2))]. 3151 L(x,T(y,z) / y,K(y \ 1,y)) = x. [hyper(305,a,3150,a),flip(a)]. 3152 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(2786,a,3151,a),flip(a)]. 3155 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [hyper(66,a,2395,a,b,3152,a)]. 3156 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3152(a,1),3074(a,1,2))]. 3157 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(37,a,2892,a,b,3156,a),flip(a)]. 3158 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(66,a,3155,a,b,3157,a)]. 3163 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(122,a,3158,a(flip),b,1903,a(flip))]. 3164 K(x,x \ 1) * (((1 / T(x,y)) \ 1) \ z) = T(1 / (1 / x),y) \ z. [para(3158(a,1),3145(a,1,1))]. 3165 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1908,a,3163,a)]. 3166 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(66,a,2399,a(flip),b,3163,a)]. 3167 (1 / x) \ (1 / T(x,y)) = T(x,y) \ x. [hyper(122,a,3163,a(flip),b,3098,a(flip))]. 3168 (T(x,y) \ x) \ x = T(x,y). [hyper(2357,a,3166,a)]. 3169 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(136,a,3166,a)]. 3170 x / T(x,y) = T(x,y) \ x. [hyper(185,a,3168,a)]. 3171 (T(x,y) \ x) * T(x,y) = x. [hyper(138,a,3168,a)]. 3175 K(x \ (x / ((y \ x) / T(x,y))),x) = T(x,y) \ x. [hyper(66,a,1717,a,b,3170,a)]. 3176 (T(x,y) \ x) * x = x * (T(x,y) \ x). [para(3170(a,1),1779(a,1,1))]. 3177 L(x,T(x,y) \ x,x) = x. [hyper(66,a,2129,a,b,3171,a)]. 3179 (x * y) * T(K(y,x),x) = y * x. [para(3177(a,1),2128(a,1,2)),flip(a)]. 3180 T(1 / T(x,y),x) = T(x,y) \ 1. [hyper(224,a,3169,a,b,1000,a)]. 3183 T(K(x,y),y) = K(x,y). [hyper(275,a,3179,a),flip(a)]. 3184 (x * K(y,x)) / x = K(y,x). [hyper(254,a,3183,a)]. 3185 T(x,K(y,x)) = x. [hyper(57,a,3183,a)]. 3186 K(x,y) * y = y * K(x,y). [hyper(124,a,3183,a(flip),b,27,a(flip)),flip(a)]. 3188 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3183(a,1),222(a,1,2,1)),flip(a)]. 3189 x * R(K(y,x),z,z \ x) = (K(y,x) * z) * (z \ x). [para(3183(a,1),679(a,1,2,1))]. 3190 T(x,K(y,R(x,z,u))) = x. [hyper(148,a,3185,a)]. 3191 T(T(x,y),K(z,x)) = T(x,y). [para(3185(a,1),28(a,1,1)),flip(a)]. 3193 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3185(a,1),221(a,1,2,1)),flip(a)]. 3194 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3185(a,1),222(a,1,2,1)),flip(a)]. 3195 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3185(a,1),223(a,1,2,1)),flip(a)]. 3196 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3185(a,1),383(a,1,2,1))]. 3199 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(3185(a,1),415(a,1,2,1,1)),flip(a)]. 3200 R(T(x,y),z,u) * K(w,x) = K(w,x) * R(T(x,y),z,u). [para(3185(a,1),591(a,1,2,1,1)),flip(a)]. 3201 T(x,y * T(y \ 1,x)) = x. [para(1110(a,1),3185(a,1,2))]. 3202 T(x,y \ T(y,x)) = x. [para(1114(a,1),3185(a,1,2))]. 3203 T(x,x \ ((y * x) / y)) = x. [para(1285(a,1),3185(a,1,2))]. 3204 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3185(a,1),2282(a,1,1,1)),flip(a)]. 3205 (x * K(y,x)) * (x \ T(x,z)) = K(y,x) * T(x,z). [para(3185(a,1),2333(a,1,2,1)),flip(a)]. 3206 (x \ T(x,y)) * y = y * (x \ T(x,y)). [hyper(124,a,3202,a(flip),b,27,a(flip))]. 3207 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(3190(a,1),28(a,1,1)),flip(a)]. 3208 L(K(x,y),y,1 / y) = K(x,y). [hyper(66,a,2209,a,b,3184,a)]. 3209 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(66,a,1185,a,b,3184,a)]. 3210 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3184(a,1),489(a,1,1)),flip(a)]. 3211 (x * y) \ ((x * K(z,x)) * y) = R(T(K(z,x),x * y),x,y). [para(3184(a,1),837(a,1,1,1)),flip(a)]. 3212 R(x,K(y,z),z) * (z * K(y,z)) = (x * K(y,z)) * z. [hyper(124,a,3186,a(flip),b,176,a)]. 3213 T(K(x,y),T(y,z)) = K(x,y). [hyper(57,a,3191,a)]. 3214 K(x,y) * T(T(y,z),u) != w | T(T(y,z),u) * K(x,y) = w. [para(3191(a,1),383(a,1,2,1))]. 3215 T(x * T(x \ 1,y),y) = x * T(x \ 1,y). [hyper(57,a,3201,a)]. 3216 ((x * y) / x) / y = y \ ((x * y) / x). [para(3203(a,1),249(a,1,2))]. 3217 K(K(x,y),T(y,z)) = 1. [hyper(58,a,3213,a)]. 3219 K(x \ T(x,y),T(y,z)) = 1. [para(1114(a,1),3217(a,1,1))]. 3220 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(59,a,3219,a)]. 3221 K(x,y) / (y * K(x,y)) = 1 / y. [hyper(123,a,3208,a(flip),b,244,a)]. 3222 (1 / x) \ K(y,x) = x * K(y,x). [hyper(122,a,3208,a(flip),b,244,a)]. 3223 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(66,a,2434,a,b,3180,a)]. 3224 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(39,a,172,a,b,3221,a),flip(a)]. 3226 (1 / x) \ (1 / T(x,y)) = (x \ T(x,y)) \ 1. [para(3165(a,1),3080(a,1,2))]. 3227 (x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z) = L(x \ z,x,T(x,y) \ x). [para(3176(a,1),105(a,2,1)),flip(a)]. 3228 x * (((y * x) / y) / x) = (y * x) / y. [hyper(124,a,3216,a,b,xx)]. 3230 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [hyper(1328,a,3216,a(flip))]. 3231 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(795(a,1),3216(a,1,1)),flip(a)]. 3232 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [hyper(136,a,3223,a)]. 3235 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(339,a,3232,a)]. 3237 (1 / T(x,y)) * K(x \ 1,x) = T(x,y) \ 1. [para(3232(a,1),1100(a,1,2))]. 3238 K(T(x \ 1,y) \ 1,T(x \ 1,y)) = K(x,x \ 1). [hyper(285,a,2621,a(flip),b,3235,a),flip(a)]. 3239 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(66,a,2790,a(flip),b,3235,a),flip(a)]. 3240 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3235(a,1),2386(a,1,2))]. 3241 (x * T(y,z)) / T(T(y,y \ 1),z) = x * K(y \ 1,y). [para(3235(a,1),2690(a,2,2))]. 3242 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3235(a,1),2731(a,2,2))]. 3243 L(x,K(y \ 1,y),T(T(y,z),u)) = x. [para(3235(a,1),3082(a,1,2))]. 3244 R(T(x,y),x \ 1,x) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(3243(a,1),2563(a,1,2)),flip(a)]. 3245 T(x,L(K(y,x),z,u)) = x. [hyper(225,a,3188,a)]. 3246 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(225,a,3194,a)]. 3247 ((x * L(y,z,u)) * K(w,y)) / (K(w,y) * L(y,z,u)) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(3246(a,1),219(a,1,1,2))]. 3248 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3195(a,1),46(a,1)),flip(a)]. 3249 (x * (R(y,z,u) * K(w,y))) / (K(w,y) * L(R(y,z,u),K(w,y),x)) = R(x,K(w,y),L(R(y,z,u),K(w,y),x)). [para(3195(a,2),444(a,1,1,2))]. 3250 x * ((y \ (x \ y)) * y) = y * (x * T(x \ 1,y)). [para(3215(a,1),1392(a,1,2)),flip(a)]. 3251 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(66,a,3167,a(flip),b,3226,a),flip(a)]. 3252 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(66,a,2325,a,b,3251,a)]. 3253 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(124,a,3251,a(flip),b,2325,a)]. 3254 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). [para(32(a,2),3251(a,1,1,2))]. 3255 x * ((y \ T(y,z)) * (T(y,z) \ y)) = x. [para(3251(a,1),82(a,1,2,2))]. 3256 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(118(a,1),3251(a,1,1,2)),flip(a)]. 3257 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1547(a,1),3251(a,1,1,2)),flip(a)]. 3258 (x * (y \ T(y,z))) * (T(y,z) \ y) = R(x,y \ T(y,z),T(y,z) \ y). [hyper(262,a,3255,a)]. 3259 x * ((1 / T(x,y)) * K(x \ 1,x)) = T(x,y) \ x. [hyper(124,a,3237,a,b,1008,a)]. 3261 K(x \ (y * x),(y * x) \ x) = K(y,y \ 1). [hyper(66,a,2884,a(flip),b,3239,a),flip(a)]. 3262 K(x / y,y / x) = K(y \ x,x \ y). [hyper(66,a,2875,a(flip),b,3239,a)]. 3263 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(66,a,2545,a,b,3262,a)]. 3264 x * (T(x,y) / x) = T(x,y). [hyper(38,a,2114,a,b,3240,a)]. 3266 T(x,y) / x = x \ T(x,y). [hyper(128,a,3264,a),flip(a)]. 3267 (x \ T(x,y)) * x = T(x,y). [para(3264(a,1),91(a,1,1,2))]. 3268 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(910,a,3266,a),flip(a)]. 3269 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(902,a,3266,a)]. 3270 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(66,a,1500,a(flip),b,3266,a),flip(a)]. 3271 T(x,x \ T(x,y)) = x. [hyper(39,a,249,a,b,3266,a)]. 3272 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3266(a,1),113(a,1,1))]. 3273 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3266(a,1),489(a,1,1))]. 3274 (x \ T(x,y)) / (y \ 1) = y * (T(x,y) / x). [para(3266(a,1),2038(a,1,1))]. 3275 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3266(a,1),2212(a,1,1,2))]. 3276 K(x,x \ T(x,y)) = 1. [hyper(58,a,3271,a)]. 3277 T(x,y) * (x \ T(x,z)) = (x \ T(x,z)) * T(x,y). [para(3271(a,1),221(a,1,2,1)),flip(a)]. 3278 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1114(a,2),3271(a,1,2))]. 3279 K(x,T(x,y) / x) = 1. [para(3266(a,2),3276(a,1,2))]. 3280 T(1 / x,T(x,y)) = x \ 1. [hyper(122,a,3279,a(flip),b,1068,a),flip(a)]. 3281 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(66,a,1519,a,b,3267,a)]. 3282 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3267(a,1),23(a,2,1)),flip(a)]. 3283 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3267(a,1),103(a,1,1))]. 3284 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3267(a,1),479(a,1,1,1))]. 3285 T(x,y) = K(y \ (y / (x \ 1)),y) * x. [para(1114(a,2),3267(a,1,1)),flip(a)]. 3286 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(66,a,1503,a(flip),b,3280,a)]. 3287 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(87(a,1),3280(a,1,1))]. 3288 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3280(a,1),231(a,1,1)),flip(a)]. 3289 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3280(a,1),370(a,2,1))]. 3290 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3280(a,1),1116(a,1,1)),flip(a)]. 3291 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1138,a,3278,a)]. 3292 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(124,a,3278,a(flip),b,1137,a(flip))]. 3293 T(x,T(x \ 1,y)) = T(x,x \ 1). [hyper(285,a,117,a,b,3287,a),flip(a)]. 3295 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3288(a,1),1396(a,1,1,2)),flip(a)]. 3297 T(x,T(1 / x,y)) = T(x,x \ 1). [hyper(66,a,3037,a,b,3293,a)]. 3300 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3297(a,1),2154(a,1,1))]. 3302 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,K(x \ (x / (y \ 1)),x) * y). [para(3285(a,2),583(a,1,2,2))]. 3304 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1150(a,1),3291(a,1,1,1,1))]. 3305 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2971(a,1),3292(a,1,1,1,1))]. 3306 T(x,x / (y * x)) = T(x,x / (x * y)). [para(205(a,1),3281(a,1,2))]. 3308 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(209(a,1),3286(a,1,3,2))]. 3309 ((x * y) \ y) * K(x,x \ 1) = 1 / (1 / ((x * y) \ y)). [para(3261(a,1),2614(a,1,2))]. 3310 (x * y) * (1 / (1 / ((x * y) \ y))) = K(x,x \ 1) * y. [para(3261(a,1),2628(a,1,1)),flip(a)]. 3311 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(3263(a,1),1888(a,1,1))]. 3312 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(3263(a,2),2622(a,1,2))]. 3314 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3268(a,1),698(a,2,1)),flip(a)]. 3315 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3268(a,1),3251(a,1,1))]. 3316 (x \ T(x,y)) / (y \ 1) = y * (x \ T(x,y)). [para(3266(a,1),3274(a,2,2))]. 3318 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3288(a,1),3290(a,1,2)),flip(a)]. 3319 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(285,a,325,a(flip),b,3318,a),flip(a)]. 3322 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3319(a,1),946(a,1,1,2))]. 3323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(136,a,3316,a)]. 3324 R(x,y,z) \ T(R(x,y,z),R(x \ 1,(x \ 1) \ 1,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(1150(a,1),3270(a,2,2,1))]. 3325 T(x,y \ ((x * y) / x)) = x. [para(3270(a,1),3271(a,1,2))]. 3326 T(x,T(y,x) \ y) = x. [para(209(a,1),3325(a,1,2,2))]. 3327 T(T(x,y) \ x,y) = T(x,y) \ x. [hyper(57,a,3326,a)]. 3328 (T(x,y) \ x) * y = y * (T(x,y) \ x). [hyper(124,a,3326,a(flip),b,27,a(flip))]. 3330 K(K(x,y),T(z,y) \ z) = 1. [para(3327(a,1),2224(a,1,2))]. 3331 K(x \ T(x,y),T(z,y) \ z) = 1. [para(1114(a,1),3330(a,1,1))]. 3332 1 / (x \ T(x,y)) = (x \ T(x,y)) \ 1. [para(3331(a,1),2503(a,1,2)),flip(a)]. 3333 ((T(x,y) \ x) \ 1) \ 1 = T(x,y) \ x. [para(3331(a,1),2620(a,1,2))]. 3334 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(66,a,1502,a,b,3328,a)]. 3335 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3328(a,1),1796(a,1,1,2,1))]. 3336 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(285,a,3251,a(flip),b,3332,a),flip(a)]. 3337 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(3270(a,1),3336(a,1,2)),flip(a)]. 3338 1 / T(T(x,y) \ x,z) = T(T(x,y) \ x,z) \ 1. [para(3333(a,1),2377(a,1,2,1))]. 3339 K(1 / x,y) = K(x \ 1,y). [hyper(66,a,2677,a(flip),b,3314,a)]. 3340 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(66,a,929,a(flip),b,3339,a),flip(a)]. 3341 K((x \ 1) \ 1,y) = K(x,y). [para(87(a,1),3339(a,1,1)),flip(a)]. 3342 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2769,a,3341,a)]. 3343 T(K(x,y),x) = K(x,y). [hyper(66,a,2746,a,b,3341,a)]. 3344 K(T(x,x \ 1),y) = K(x,y). [para(117(a,2),3341(a,1,1))]. 3345 K(T((x \ 1) \ 1,y),z) = K(T(x,y),z). [para(2379(a,2),3341(a,1,1))]. 3346 K(T(x \ y,y \ x),z) = K(x \ y,z). [para(2484(a,2),3341(a,1,1))]. 3347 K(x,y) * x = x * K(x,y). [para(3341(a,1),2747(a,1,2)),flip(a)]. 3348 T(x,K(x,y)) = x. [hyper(57,a,3343,a)]. 3349 T(K(x,y),z) * x = x * T(K(x,y),z). [para(3343(a,1),221(a,1,2,1)),flip(a)]. 3350 L(K(x,y),z,u) * x = x * L(K(x,y),z,u). [para(3343(a,1),222(a,1,2,1)),flip(a)]. 3351 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3343(a,1),223(a,1,2,1)),flip(a)]. 3352 K(x,K(x,y)) = 1. [hyper(58,a,3348,a)]. 3353 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3348(a,1),221(a,1,2,1)),flip(a)]. 3354 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3348(a,1),222(a,1,2,1)),flip(a)]. 3355 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3348(a,1),223(a,1,2,1)),flip(a)]. 3356 T((x * y) / x,K(y,z)) = (x * y) / x. [para(3348(a,1),425(a,1,1,2)),flip(a)]. 3359 T(K(x,y),T(x,z)) = K(x,y). [hyper(225,a,3353,a)]. 3362 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3359(a,1),263(a,1,2))]. 3363 T(K(x,y),(z * x) / z) = K(x,y). [hyper(57,a,3356,a)]. 3364 T(K(x \ y,z),y / x) = K(x \ y,z). [para(15(a,1),3363(a,1,2,1))]. 3365 T(K(x \ y,z),u) * (y / x) = (y / x) * T(K(x \ y,z),u). [para(3364(a,1),221(a,1,2,1)),flip(a)]. 3366 T(x,L(K(x,y),z,u)) = x. [hyper(225,a,3350,a)]. 3367 R(L(K(x,y),z,u),x,1 / x) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(3350(a,1),1913(a,2,1))]. 3368 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(761,a,3351,a),flip(a)]. 3369 T(x,R(K(x,y),z,u)) = x. [hyper(225,a,3351,a)]. 3370 K(x,R(K(x,y),z,u)) = 1. [hyper(58,a,3369,a)]. 3371 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(225,a,3355,a)]. 3372 R(x,y,z) * K(x,u) != w | K(x,u) * R(x,y,z) = w. [para(3371(a,1),263(a,1,2))]. 3373 T(x \ 1,T(x,y) \ x) = x \ 1. [para(3175(a,1),2105(a,1,2))]. 3374 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3175(a,1),2716(a,1,1,2)),flip(a)]. 3375 T(T(x,y) \ x,x \ 1) = T(x,y) \ x. [hyper(57,a,3373,a)]. 3376 (T(x,y) \ x) * (x \ 1) = (x \ 1) * (T(x,y) \ x). [hyper(124,a,3373,a(flip),b,27,a(flip))]. 3378 (K(x,y) \ y) * K(x,y) = y. [hyper(37,a,96,a(flip),b,3204,a),flip(a)]. 3379 x / K(y,x) = K(y,x) \ x. [hyper(135,a,3378,a)]. 3380 R(K(x,y) \ y,K(x,y),z) = (y * z) / (K(x,y) * z). [para(3378(a,1),25(a,2,1,1))]. 3383 K(x,y) * (z * T(z \ L((y \ 1) \ z,y \ 1,y * K(x,y)),u)) = (K(x,y) * T(y,u)) * z. [para(3205(a,1),2817(a,2,1))]. 3384 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(118(a,1),3256(a,1,1)),flip(a)]. 3385 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(14(a,1),3384(a,1,1,2)),flip(a)]. 3386 (x * (1 / T(x,y))) * K(x \ 1,x) = T(x,y) \ x. [hyper(66,a,3020,a,b,3259,a)]. 3387 (x \ T(x,y)) * T(x,z) = T(x,y) * (x \ T(x,z)). [hyper(1067,a,3277,a),flip(a)]. 3388 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(66,a,281,a(flip),b,3300,a)]. 3390 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(589(a,1),3311(a,1,1,2))]. 3391 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1262(a,1),3315(a,1,1)),flip(a)]. 3392 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1281(a,2),3315(a,1,1)),flip(a)]. 3393 (T(x,y) \ x) * (x \ 1) = T(x,y) \ 1. [hyper(285,a,3253,a(flip),b,3376,a),flip(a)]. 3394 (x \ 1) * (x * (1 / T(x,y))) = (1 / x) * (T(x,y) \ x). [para(3386(a,1),2938(a,1,2)),flip(a)]. 3395 (T(x,y) * T(x,z)) / ((x \ T(x,y)) * T(x,z)) = x. [para(3387(a,2),995(a,1,2))]. 3396 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3388(a,1),23(a,2,1)),flip(a)]. 3397 R(x,x \ T(x,y),T(x,z)) = x. [hyper(700,a,3395,a)]. 3398 L(x,x \ T(x,y),x) = x. [para(3397(a,1),1059(a,1,1))]. 3399 (R(T(x,y),z,u) * K(w,x)) * v5 = (K(w,x) * R(T(x,y),z,u)) * v5. [hyper(60,a,3200,a)]. 3401 (x * T(y,z)) / T((y \ 1) \ 1,z) = x * K(y \ 1,y). [para(117(a,1),3241(a,1,2,1))]. 3404 (x * y) \ (K(x,x \ 1) * y) = 1 / (1 / ((x * y) \ y)). [hyper(128,a,3310,a)]. 3405 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(14(a,1),3385(a,1,1)),flip(a)]. 3406 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(185,a,3405,a)]. 3407 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(66,a,3337,a,b,3406,a)]. 3408 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(122,a,3407,a(flip),b,1000,a),flip(a)]. 3409 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(209(a,1),3407(a,2,1))]. 3410 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3408(a,1),2392(a,1,2))]. 3411 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(209(a,1),3410(a,1,2,2,1))]. 3412 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1267(a,1),3411(a,1,2,2,2))]. 3413 1 / T(x,R(T(y,x),T(y,x) \ 1,x)) = (y \ T(y,x)) / x. [hyper(123,a,3409,a(flip),b,3169,a),flip(a)]. 3414 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3334(a,1),3409(a,1,1))]. 3415 x / (y \ T(y,x)) = x * (T(y,x) \ y). [hyper(185,a,3414,a)]. 3416 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1267(a,1),3415(a,1,2,2))]. 3417 L((1 / T(x,y)) * x,x \ 1,x) = ((1 / x) * (T(x,y) \ x)) * x. [para(3394(a,1),2185(a,1,1)),flip(a)]. 3418 (x * K(y \ 1,y)) * T((y \ 1) \ 1,z) = x * T(y,z). [hyper(136,a,3401,a)]. 3419 T(1 / (1 / ((x * y) \ y)),x) = (x * y) \ y. [para(3404(a,1),2014(a,1,1))]. 3420 (1 / (1 / ((x * y) \ y))) * x = x * ((x * y) \ y). [hyper(124,a,3419,a(flip),b,27,a(flip)),flip(a)]. 3421 1 / T((x * y) \ y,x) = ((x * y) \ y) \ 1. [para(3419(a,1),2378(a,1,1)),flip(a)]. 3422 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [hyper(180,a,3421,a),flip(a)]. 3423 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [hyper(66,a,3103,a(flip),b,3422,a),flip(a)]. 3424 (((x * y) \ y) * K(x,x \ 1)) * x = x * ((x * y) \ y). [para(3309(a,2),3420(a,1,1))]. 3425 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2951(a,1),3423(a,1,1,1,1))]. 3426 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3423(a,1),3341(a,1,1)),flip(a)]. 3427 T(x,(x * y) \ y) = (x \ 1) \ 1. [hyper(224,a,3424,a(flip),b,2832,a(flip))]. 3429 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [para(17(a,1),3427(a,1,2,1))]. 3430 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(3429(a,1),2719(a,1,1)),flip(a)]. 3431 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(14(a,1),3257(a,2,1))]. 3433 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3282(a,1),1021(a,1,2)),flip(a)]. 3434 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(15(a,1),3433(a,1,1)),flip(a)]. 3435 L(x * y,x \ T(x,z),x) != x * u | L(y,x,x \ T(x,z)) = u. [para(3433(a,2),46(a,1))]. 3436 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(66,a,1827,a,b,3283,a)]. 3437 1 / (x * (T(y,x) \ y)) = (y \ T(y,x)) / x. [para(3334(a,1),3413(a,1,2))]. 3438 1 / (x * (T(y \ 1,x) \ (y \ 1))) = (y * T(y \ 1,x)) / x. [para(3268(a,1),3437(a,2,1))]. 3439 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3266(a,1),3275(a,2,2,1,2))]. 3440 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(285,a,3328,a(flip),b,3335,a),flip(a)]. 3441 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3028(a,1),3340(a,2,1,1))]. 3443 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3414(a,1),3440(a,1,1,2))]. 3444 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(37,a,3439,a(flip),b,3443,a(flip))]. 3446 (x * (y \ T(y,x))) * (T(y,x) \ y) != z | x = z. [para(3444(a,1),241(a,1,2))]. 3447 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(417(a,1),3273(a,2,1))]. 3448 ((1 / x) * (T(x,y) \ x)) * x = L(T(x,y) \ x,x \ 1,x). [para(3169(a,1),3417(a,1,1)),flip(a)]. 3449 K(x,x \ 1) * (T(x,y) \ z) = T(1 / (1 / x),y) \ z. [para(90(a,1),3164(a,1,2,1))]. 3451 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2405,a,3449,a)]. 3453 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1906(a,1),3451(a,1,2))]. 3454 (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = R(T(x,u),y,z) \ R(x,y,z). [para(32(a,2),3254(a,2,1))]. 3455 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1349(a,1),3295(a,1,1))]. 3456 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(116(a,1),3455(a,2,1))]. 3457 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(285,a,2415,a(flip),b,3456,a),flip(a)]. 3459 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3457(a,1),1350(a,1,1)),flip(a)]. 3460 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(285,a,3223,a(flip),b,3459,a),flip(a)]. 3462 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3460(a,1),3457(a,1,1))]. 3464 K(T(x / y,z) \ 1,T(x / y,u)) = K(x \ y,y \ x). [hyper(285,a,3239,a(flip),b,3462,a),flip(a)]. 3470 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3392(a,1),3308(a,1,3))]. 3471 T(x,K(y,x) \ 1) = x. [para(3392(a,1),3326(a,1,2))]. 3472 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [hyper(124,a,3471,a(flip),b,27,a(flip))]. 3474 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3472(a,1),203(a,2,1)),flip(a)]. 3475 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(285,a,3470,a(flip),b,3474,a),flip(a)]. 3477 (K(x,y) * R(T(y,z),u,w)) * v5 != R(T(y,z),u,w) * K(x,y) | 1 = v5. [para(3399(a,1),126(a,1))]. 3478 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(87(a,1),3453(a,2,1,1,2))]. 3480 K(x \ 1,x) * (T(x \ 1,y) \ z) = T(1 / x,y) \ z. [hyper(2416,a,3478,a)]. 3481 T(1 / x,y) \ (T(x \ 1,y) * z) = K(x \ 1,x) * z. [para(14(a,1),3480(a,1,2)),flip(a)]. 3482 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [hyper(124,a,2976,a(flip),b,3481,a)]. 3483 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [hyper(124,a,3482,a(flip),b,993,a)]. 3484 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(2983(a,1),3482(a,1,2)),flip(a)]. 3485 R(T(x,x \ 1),y,z) \ R(x,y,z) = a(R(x,y,z),1 / x,x) \ 1. [para(1944(a,1),3454(a,1,1)),flip(a)]. 3486 T(T(x,x \ 1),y) * (((x \ 1) * x) * z) = ((x \ T(x,y)) * x) * z. [para(1375(a,1),3244(a,1,1))]. 3487 T(T(x,x \ 1),y) * (K(x \ 1,x) * z) = ((x \ T(x,y)) * x) * z. [para(243(a,2),3486(a,1,2,1))]. 3488 K(x \ 1,x) * (T(T(x,x \ 1),y) * z) = ((x \ T(x,y)) * x) * z. [hyper(66,a,3144,a(flip),b,3487,a)]. 3489 T(x,x \ 1) * (((x \ T(x,y)) * x) * z) = x * (T(T(x,x \ 1),y) * z). [para(3488(a,1),2919(a,1,2))]. 3490 R(x,y \ T(y,x),T(y,x) \ y) = x. [hyper(3446,a,3258,a),flip(a)]. 3491 R(x,(((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(1267(a,1),3490(a,1,2,2))]. 3492 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(116(a,2),3368(a,2,1,1,1))]. 3493 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3342(a,1),3412(a,1,2,2))]. 3494 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(3493(a,1),249(a,1,2))]. 3495 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(3494(a,1),2692(a,1,1)),flip(a)]. 3496 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(3494(a,1),2837(a,1,1))]. 3497 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [hyper(124,a,3496,a(flip),b,2253,a),flip(a)]. 3498 (x \ 1) * (x * (K(y,x) / x)) = (1 / x) * K(y,x). [para(3497(a,1),2945(a,1,2))]. 3499 L(K(x,y),y \ 1,y) / y = (1 / y) * K(x,y). [hyper(66,a,2187,a(flip),b,3498,a)]. 3500 T(x,x \ 1) * (T(x,y) * z) = x * (T(T(x,x \ 1),y) * z). [para(3267(a,1),3489(a,1,2,1))]. 3501 T(x,x \ 1) * (T(x,y) * z) = x * (T((x \ 1) \ 1,y) * z). [para(117(a,1),3500(a,2,2,1,1))]. 3502 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2914(a,1),3484(a,1,2))]. 3503 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(117(a,2),3502(a,1,2,1))]. 3504 L(R(K(x,y),x,1 / x),z,u) * K(x,x \ 1) = (x * L(K(x,y),z,u)) * (1 / x). [para(34(a,1),3367(a,1,1))]. 3505 R(K(x \ (x / ((y \ x) / T(x,y))),x),x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [hyper(285,a,3448,a(flip),b,3374,a),flip(a)]. 3506 R(T(x,y) \ x,x \ 1,x) = L(T(x,y) \ x,x \ 1,x). [para(3175(a,1),3505(a,1,1))]. 3507 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(795(a,1),3231(a,1,2)),flip(a)]. 3508 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(66,a,1943,a(flip),b,3507,a),flip(a)]. 3510 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3434(a,1),3436(a,1,1))]. 3511 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(66,a,232,a(flip),b,3510,a)]. 3512 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(14(a,1),3511(a,1,1)),flip(a)]. 3513 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(122,a,3398,a(flip),b,3512,a)]. 3514 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1547(a,1),3513(a,1,1,2)),flip(a)]. 3515 x * (T(x,R(y,y \ 1,x)) \ x) = (y \ ((x * y) / x)) \ x. [para(3270(a,1),3513(a,1,1)),flip(a)]. 3516 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(3407(a,1),3515(a,1,2)),flip(a)]. 3517 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(209(a,1),3516(a,1,1,2)),flip(a)]. 3518 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(209(a,1),3517(a,1,2,1)),flip(a)]. 3519 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(14(a,1),3514(a,2,1))]. 3521 x * (K(x,y) \ 1) = K(x,y) \ x. [para(3431(a,1),3519(a,1,2))]. 3522 x \ (K(x,y) \ x) = K(x,y) \ 1. [hyper(128,a,3521,a)]. 3523 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1150(a,1),3304(a,2,1))]. 3524 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(2815(a,1),3523(a,1,1))]. 3525 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(122,a,3524,a(flip),b,3521,a)]. 3526 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3525,a),flip(a)]. 3527 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [hyper(42,a,2510,a,b,3526,a)]. 3529 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2838(a,1),2872(a,1,2)),flip(a)]. 3530 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(285,a,25,a,b,3529,a),flip(a)]. 3531 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3529(a,2),479(a,1))]. 3532 R(1 / x,y,1 / x) = R(1 / x,y,x \ 1). [hyper(66,a,3053,a(flip),b,3530,a),flip(a)]. 3533 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2899(a,1),2900(a,2,2,1,1))]. 3534 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(285,a,3269,a(flip),b,3533,a),flip(a)]. 3536 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3269(a,1),3534(a,1,1))]. 3537 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3536(a,1),3322(a,1,1))]. 3538 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3319(a,1),3537(a,2,1))]. 3540 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2413,a,3538,a)]. 3542 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2948(a,1),2994(a,1,2)),flip(a)]. 3544 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3542(a,2),447(a,1))]. 3545 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(112(a,1),2935(a,1,1,1,1,2))]. 3546 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(2452,a,3545,a)]. 3547 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(16(a,1),3305(a,1,1,1))]. 3549 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3547(a,1),47(a,1)),flip(a)]. 3550 R(x,K(y,x),T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x. [para(3342(a,1),3491(a,1,2))]. 3551 R(x,K(y,x),((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x. [para(3391(a,1),3550(a,1,3))]. 3552 R(x,K(y,x),((x * y) \ (x * T(y,x))) \ 1) = x. [para(14(a,1),3551(a,1,3,1,2,2,1))]. 3553 R(x,K(y,x),((x * y) \ (y * x)) \ 1) = x. [para(116(a,1),3552(a,1,3,1,2))]. 3554 R(x,K(y,x),K(y,x) \ 1) = x. [para(21(a,2),3553(a,1,3,1))]. 3555 (x * K(y,x)) \ x = K(y,x) \ 1. [hyper(122,a,3554,a(flip),b,355,a)]. 3556 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3094(a,1),3057(a,1,1))]. 3557 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3269(a,1),3110(a,2,1))]. 3558 R(x,y,z) \ T(R(x,y,z),R(1 / x,x,R(x,y,z))) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(3066(a,1),3324(a,1,2))]. 3559 R(x,y,z) \ R(T(x,R(1 / x,x,R(x,y,z))),y,z) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). [para(32(a,2),3558(a,1,2))]. 3560 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = R(x,y,z) \ R(T(x,x \ 1),y,z). [para(1954(a,1),3559(a,1,2,1)),flip(a)]. 3561 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(285,a,1944,a(flip),b,3560,a),flip(a)]. 3563 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(3087,a,3561,a)]. 3564 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(66,a,2348,a(flip),b,3561,a),flip(a)]. 3565 a(R(x,y,z),1 / x,x) \ 1 = K(x \ 1,R(x,y,z)). [para(3564(a,2),3527(a,1,1))]. 3566 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(66,a,3485,a,b,3565,a)]. 3567 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(2313,a,3566,a)]. 3568 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [hyper(124,a,3567,a(flip),b,3508,a)]. 3569 K(R(x,y,z) \ 1,R(x,y,z)) * (y * z) = (K(x \ 1,R(x,y,z)) * y) * z. [para(3567(a,1),2303(a,2,1,1))]. 3570 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1710(a,2),3563(a,1,2))]. 3571 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3570(a,1),2801(a,1,1)),flip(a)]. 3572 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3564(a,1),3571(a,2,1))]. 3573 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(285,a,3079,a(flip),b,3572,a),flip(a)]. 3574 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(37,a,1903,a(flip),b,3573,a),flip(a)]. 3575 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(66,a,3142,a,b,3574,a)]. 3576 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [hyper(185,a,3575,a),flip(a)]. 3577 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2381(a,1),3575(a,1,1,1))]. 3578 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(66,a,3568,a,b,3576,a)]. 3579 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(87(a,1),3576(a,1,1,2)),flip(a)]. 3580 R(1 / (1 / (x / (y / z))),y / z,z) = 1 / (1 / ((x * z) / y)). [para(489(a,1),3576(a,2,2,2))]. 3581 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3579(a,1),184(a,1,1,1))]. 3583 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(87(a,1),3581(a,1,1,1,1)),flip(a)]. 3584 K(R(1 / x,y,z),u) = K(R(x \ 1,y,z),u). [para(3581(a,1),3341(a,1,1)),flip(a)]. 3585 R(T(x,x \ 1),y,z) = (R(x,y,z) \ 1) \ 1. [hyper(66,a,986,a,b,3583,a)]. 3586 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3583(a,2),2445(a,1,1))]. 3587 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2713(a,1),3583(a,2,1,1))]. 3588 1 / R(T(x \ 1,y),z,u) = R(T(1 / x,y),z,u) \ 1. [para(87(a,1),3577(a,1,1,1,1,2)),flip(a)]. 3589 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(686(a,1),3577(a,1,1)),flip(a)]. 3590 1 / R(T(x \ 1,y),x,x \ y) = (y \ (1 * (x \ y))) \ 1. [para(868(a,1),3588(a,2,1))]. 3591 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(37,a,1874,a,b,3578,a)]. 3592 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(397,a,3591,a)]. 3593 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,R((x / y) / z,z,y)). [para(487(a,1),3591(a,1,1,1)),flip(a)]. 3594 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3591(a,1),1914(a,1,1)),flip(a)]. 3595 (K(x \ 1,R(x,y,z)) * y) * z = K(x \ 1,R(x,y,z)) * (y * z). [para(3591(a,1),3569(a,1,1)),flip(a)]. 3596 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3592(a,1),339(a,1))]. 3597 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(66,a,3430,a,b,3587,a)]. 3598 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = (((y * x) \ 1) \ 1) / x. [para(3597(a,1),2499(a,1,1)),flip(a)]. 3599 1 / T(x \ (1 * (y \ x)),y) = (x \ (1 * (y \ x))) \ 1. [para(1491(a,1),3590(a,1,2))]. 3600 (x \ (1 * (y \ x))) \ 1 = 1 / T(x \ (y \ x),y). [para(12(a,1),3599(a,1,2,1,2)),flip(a)]. 3601 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(12(a,1),3600(a,1,1,2)),flip(a)]. 3602 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(180,a,3601,a),flip(a)]. 3603 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(2930(a,1),3601(a,1,2))]. 3604 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(3602(a,2),3029(a,1,2))]. 3605 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(90(a,1),3603(a,1,2,2,1)),flip(a)]. 3606 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [hyper(185,a,3605,a)]. 3607 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [hyper(124,a,3606,a,b,xx)]. 3609 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [hyper(123,a,3607,a(flip),b,2436,a)]. 3610 (1 / (1 / (x / y))) \ x = x * (1 / (1 / (x \ y))). [para(90(a,1),3607(a,1,2,2,2,2)),flip(a)]. 3612 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(87(a,1),3609(a,1,1,1,2)),flip(a)]. 3613 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(285,a,3526,a(flip),b,3594,a),flip(a)]. 3614 ((1 / x) * ((((1 / x) \ y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [hyper(136,a,3598,a(flip))]. 3615 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / ((x * y) / 1))) / y. [hyper(123,a,3580,a(flip),b,247,a),flip(a)]. 3616 L(x,y,K(z \ 1,R(z,y,x))) = x. [hyper(445,a,3595,a)]. 3617 L(x,y,K(z,R(z \ 1,y,x))) = x. [para(3341(a,1),3616(a,1,3))]. 3618 K(x,R(x \ 1,y,z)) * (y * z) != u * z | K(x,R(x \ 1,y,z)) * y = u. [para(3617(a,1),260(a,1,2)),flip(a)]. 3619 (1 / (1 / (x / (1 / y)))) * (1 / y) = (1 / (1 / (x * y))) / y. [para(86(a,1),3615(a,2,1,2,2))]. 3620 (1 / x) * (1 / (1 / ((1 / x) \ y))) = (1 / (1 / (y * x))) / x. [hyper(66,a,2436,a(flip),b,3619,a)]. 3621 x * K(x \ (1 / y),(1 / y) \ x) = (1 / (1 / (x * y))) / y. [hyper(66,a,2627,a,b,3620,a)]. 3622 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(262,a,3586,a),flip(a)]. 3623 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2389(a,1),3622(a,2,1))]. 3624 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(66,a,3546,a(flip),b,3623,a)]. 3625 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3242(a,1),3624(a,2,1))]. 3626 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3592(a,1),3625(a,1,1))]. 3627 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3626(a,1),47(a,1))]. 3628 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3341(a,1),3626(a,1,1))]. 3629 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(2621(a,1),3628(a,2,1,2))]. 3630 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(3618,a,3629,a)]. 3631 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(38,a,2398,a,b,3630,a),flip(a)]. 3633 L(x,y,K(z,z \ 1)) = x. [para(3631(a,1),3617(a,1,3))]. 3634 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3631(a,1),3629(a,1,1)),flip(a)]. 3635 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [hyper(1176,a,3633,a),flip(a)]. 3636 (x * K(y,y \ 1)) \ ((x * z) * K(y,y \ 1)) = z. [hyper(66,a,2530,a,b,3633,a)]. 3637 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(66,a,105,a(flip),b,3633,a)]. 3638 (x * K(y,y \ 1)) * z = (x * z) * K(y,y \ 1). [hyper(124,a,3633,a(flip),b,2530,a)]. 3639 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [para(3633(a,1),389(a,1,2)),flip(a)]. 3640 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3633(a,1),499(a,1,2))]. 3641 L(x,y,K(z \ 1,z)) = x. [para(1906(a,1),3633(a,1,3))]. 3642 K(x,x \ 1) * ((x \ 1) / y) = (1 / x) / y. [para(3633(a,1),1893(a,1,2)),flip(a)]. 3643 L(x,y,K(z \ u,u \ z)) = x. [para(2490(a,1),3633(a,1,3))]. 3645 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3544,a,3641,a),flip(a)]. 3646 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [hyper(1176,a,3641,a),flip(a)]. 3650 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(66,a,2856,a(flip),b,3641,a),flip(a)]. 3651 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(66,a,2722,a(flip),b,3641,a),flip(a)]. 3652 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(66,a,2525,a(flip),b,3641,a),flip(a)]. 3653 L(x,y,K(z \ 1,z)) != u | u = x. [para(3641(a,1),53(a,1)),flip(a)]. 3654 L(x,y,K(z \ 1,z)) != u | x = u. [para(3641(a,1),53(a,2))]. 3655 K(x \ 1,x) * (1 / y) = K(x \ 1,x) / y. [para(3641(a,1),389(a,1,2)),flip(a)]. 3656 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3641(a,1),499(a,1,2))]. 3657 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [para(3641(a,1),2427(a,1,2))]. 3659 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3641(a,1),3544(a,1))]. 3661 K(x \ y,y \ x) * (1 / z) = K(x \ y,y \ x) / z. [para(3643(a,1),389(a,1,2)),flip(a)]. 3662 (K(x \ y,y \ x) * z) / u = K(x \ y,y \ x) * (z / u). [para(3643(a,1),499(a,1,2))]. 3664 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [hyper(66,a,2966,a,b,3645,a)]. 3665 a(1 / x,x / y,y) \ y = L(y,x / y,x \ 1). [hyper(66,a,1674,a,b,3645,a)]. 3666 L(x \ y,x,y \ 1) = ((1 / y) * x) \ 1. [hyper(66,a,455,a(flip),b,3645,a),flip(a)]. 3667 ((1 / x) * y) * L(z,y,x \ 1) = (1 / x) * (y * z). [hyper(124,a,3645,a(flip),b,23,a(flip))]. 3668 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(87(a,1),3645(a,1,3)),flip(a)]. 3669 1 / L(x,y / x,y \ 1) = (1 / y) * (y / x). [para(3645(a,1),707(a,1,2))]. 3671 a(x,y \ 1,(y \ 1) \ 1) = a(x,y \ 1,y). [hyper(66,a,2725,a,b,3651,a)]. 3675 (1 / x) * K(y,y \ 1) = K(y,y \ 1) / x. [hyper(2405,a,3639,a)]. 3676 K(x \ 1,x) * ((1 / x) / y) = (x \ 1) / y. [hyper(2858,a,3642,a)]. 3677 ((x \ 1) / y) * K(x,x \ 1) = (1 / x) / y. [hyper(2405,a,3642,a)]. 3679 (1 / x) / (y \ (x \ 1)) = y * K(x,x \ 1). [hyper(315,a,3677,a),flip(a)]. 3680 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,(x \ 1) \ 1). [para(610(a,1),3677(a,1,1)),flip(a)]. 3681 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [hyper(180,a,3679,a)]. 3682 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(123,a,3634,a(flip),b,112,a)]. 3684 K(x,x \ 1) * (((x \ 1) * y) * z) = ((1 / x) * y) * z. [para(2950(a,1),3634(a,1,1)),flip(a)]. 3686 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(475,a,3635,a)]. 3689 x \ (K(y,y \ 1) * (z * x)) = T(K(y,y \ 1) * z,x). [hyper(224,a,3635,a,b,15,a),flip(a)]. 3692 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,2800,a,b,3686,a)]. 3696 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [para(3636(a,1),981(a,1,1)),flip(a)]. 3697 (x * y) \ (K(y,y \ 1) * z) = (x * (1 / (1 / y))) \ z. [para(2659(a,1),3637(a,1,1))]. 3698 (K(x,x \ 1) * y) \ z = y \ (K(x \ 1,x) * z). [para(2845(a,1),3637(a,1,2))]. 3699 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2850(a,1),3637(a,1,1)),flip(a)]. 3704 (((x \ 1) * y) * z) * K(x,x \ 1) = ((1 / x) * y) * z. [para(2950(a,1),3638(a,1,1)),flip(a)]. 3705 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [para(2398(a,1),3640(a,1,1))]. 3706 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3640(a,1),2865(a,1,1))]. 3708 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),25(a,2,1,1)),flip(a)]. 3709 K(x \ 1,x) * ((y * (1 / x)) * z) = (y * (x \ 1)) * z. [para(2649(a,1),3646(a,1,1)),flip(a)]. 3710 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2654(a,1),3646(a,1,1)),flip(a)]. 3711 K(x \ 1,x) * ((x \ y) * z) = (((x \ 1) \ 1) \ y) * z. [para(2915(a,1),3646(a,1,1)),flip(a)]. 3713 K(x \ 1,x) * ((1 / y) * z) = (K(x \ 1,x) / y) * z. [para(3655(a,1),3646(a,1,1)),flip(a)]. 3714 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) = L((y \ 1) * z,K(y,y \ 1),x). [hyper(2989,a,3650,a),flip(a)]. 3716 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2950(a,1),3650(a,1,1)),flip(a)]. 3717 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3656(a,1),118(a,1,1))]. 3718 K(x \ 1,x) * (((x \ 1) \ 1) / y) = x / y. [para(860(a,1),3656(a,1,1)),flip(a)]. 3719 K(x \ 1,x) * (x / y) = (1 / (1 / x)) / y. [para(1881(a,1),3656(a,1,1)),flip(a)]. 3720 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2855,a,3718,a)]. 3721 (1 / (1 / x)) / T(y,y \ x) = K(x \ 1,x) * (y \ x). [para(249(a,1),3719(a,1,2)),flip(a)]. 3722 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3627,a,3657,a)]. 3724 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),19(a,2,1)),flip(a)]. 3725 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),23(a,2,1)),flip(a)]. 3726 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y * K(z \ 1,z),x). [para(3657(a,1),23(a,2,2,2)),flip(a)]. 3728 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3657(a,1),2992(a,1,1))]. 3729 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3596,a,3722,a)]. 3730 K(((x / y) / z) \ 1,(x / y) / z) = K(((x / y) / z) \ 1,x / (z * y)). [para(487(a,1),3722(a,1,2)),flip(a)]. 3733 (K(x,x \ 1) * y) \ 1 = y \ K(x \ 1,x). [para(13(a,1),3698(a,2,2))]. 3735 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(13(a,1),3699(a,2,2))]. 3736 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,z,T(K(x,x \ 1),z)). [hyper(66,a,2402,a(flip),b,3705,a),flip(a)]. 3737 (x * K(y,y \ 1)) / z != K(y,y \ 1) * u | x / z = u. [para(3705(a,2),46(a,1))]. 3739 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,T(x,y)). [para(116(a,1),3689(a,1,2,2))]. 3742 (x * (1 / (1 / y))) \ (y * z) = (x * y) \ (((y \ 1) \ 1) * z). [para(2888(a,1),3697(a,1,2)),flip(a)]. 3743 K(x \ 1,x) * ((x \ 1) * y) = T(x \ 1,x) * y. [para(1899(a,2),3711(a,2,1))]. 3744 ((x \ 1) * y) * K(x \ 1,x) = T(x \ 1,x) * y. [hyper(2412,a,3743,a)]. 3745 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3716(a,1),3557(a,1,2,1)),flip(a)]. 3746 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(3005(a,1),3717(a,1,1))]. 3747 (K(x \ y,y \ x) * z) / u != K(x \ y,y \ x) * w | z / u = w. [para(3662(a,2),46(a,1))]. 3748 K(x,x \ 1) * ((y * z) / (K(x,x \ 1) * z)) = R(y,K(x,x \ 1),z). [hyper(66,a,3640,a(flip),b,3682,a)]. 3749 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3646(a,1),3708(a,1,1))]. 3750 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(66,a,3656,a(flip),b,3749,a)]. 3751 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(25(a,2),3750(a,1,2)),flip(a)]. 3752 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(285,a,3113,a(flip),b,3751,a),flip(a)]. 3753 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2862,a,3751,a(flip))]. 3754 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1872(a,1),3753(a,1,2,1))]. 3755 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3426(a,1),3745(a,2,2))]. 3756 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2702(a,1),3752(a,1,1)),flip(a)]. 3757 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(15(a,1),3756(a,1,1,2,1)),flip(a)]. 3758 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(123,a,3757,a,b,xx)]. 3759 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(488(a,1),3757(a,2,1,2))]. 3760 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2713(a,1),3757(a,2,1,2))]. 3761 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(91(a,1),3758(a,1,1,1)),flip(a)]. 3762 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(138,a,3761,a),flip(a)]. 3763 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3762(a,2),2561(a,1,1))]. 3764 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(66,a,3143,a(flip),b,3760,a),flip(a)]. 3765 (x * (y \ T(y,x))) * y = y * x. [para(14(a,1),3764(a,1,1)),flip(a)]. 3766 x * (y \ T(y,x)) = (y * x) / y. [hyper(135,a,3765,a),flip(a)]. 3767 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(123,a,15,a(flip),b,3765,a),flip(a)]. 3768 x \ ((y * x) / y) = y \ T(y,x). [hyper(128,a,3766,a)]. 3769 R(x,y,y \ 1) \ ((y * x) * (y \ 1)) = y \ T(y,R(x,y,y \ 1)). [hyper(122,a,756,a(flip),b,3766,a)]. 3770 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(122,a,209,a(flip),b,3766,a)]. 3771 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(122,a,153,a(flip),b,3766,a),flip(a)]. 3772 (x \ T(x,y)) * y = (x * y) / x. [hyper(66,a,3206,a,b,3766,a)]. 3773 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(37,a,3230,a,b,3766,a)]. 3774 ((x * y) / x) / y = x \ T(x,y). [hyper(37,a,3228,a,b,3766,a)]. 3775 (T(x,y) \ x) * ((x * y) / x) = y. [hyper(124,a,3766,a(flip),b,3518,a)]. 3776 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3766(a,1),889(a,1,2))]. 3777 ((x \ 1) * y) / (x \ 1) = y * (x * T(x \ 1,y)). [para(3268(a,1),3766(a,1,2)),flip(a)]. 3778 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3766(a,1),3323(a,1,1))]. 3779 ((x * y) / x) \ y = T(x,y) \ x. [para(3766(a,1),3444(a,1,1))]. 3781 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3770(a,2),3272(a,1,1))]. 3782 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3772(a,1),176(a,1,2,1))]. 3785 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3774(a,1),461(a,1,1,1))]. 3786 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3549,a,3775,a)]. 3787 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(15(a,1),3779(a,1,1,1)),flip(a)]. 3788 T(x,T(y,x)) \ x = y \ T(y,x). [para(209(a,1),3779(a,1,1)),flip(a)]. 3789 ((x * y) * (x \ 1)) \ R(y,x,x \ 1) = T(x,R(y,x,x \ 1)) \ x. [para(756(a,1),3779(a,1,1))]. 3790 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3779(a,1),1306(a,1,2,2,1))]. 3791 K(x \ (x / (y \ 1)),x) = T(x,T(y,x)) \ x. [hyper(285,a,1114,a,b,3788,a)]. 3793 (x \ T(x,y)) \ y = T(y,T(x,y)). [para(3788(a,1),3168(a,1,1))]. 3795 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3268(a,1),3793(a,1,1))]. 3796 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(117(a,1),3767(a,1,2,2))]. 3798 (x \ T(x,y)) \ (((x * y) / x) * ((y \ 1) * z)) != u | L(z,y \ 1,(x * y) / x) = u. [para(3778(a,1),447(a,1,1))]. 3799 (x \ y) \ (y / x) = x \ ((x \ y) \ y). [hyper(128,a,3796,a)]. 3800 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(118(a,1),3771(a,1,2))]. 3801 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(66,a,3787,a,b,3800,a)]. 3802 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(124,a,3787,a,b,3800,a(flip)),flip(a)]. 3804 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(14(a,1),3802(a,2,2,1,2))]. 3805 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1538,a,3773,a)]. 3807 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(66,a,1095,a,b,3773,a)]. 3808 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(66,a,2579,a(flip),b,3773,a)]. 3809 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1518,a,3773,a(flip))]. 3810 T(x,(y \ x) \ 1) = x * K(x,y / x). [hyper(124,a,1540,a(flip),b,3773,a(flip)),flip(a)]. 3811 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3773(a,1),2049(a,1,1))]. 3812 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3773(a,1),2075(a,2,2,1))]. 3813 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3773(a,1),2067(a,2,2,1))]. 3814 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3773(a,1),2808(a,1,1))]. 3815 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2068,a,3809,a)]. 3818 T(x,x / (y * x)) = T(x,y \ 1). [hyper(66,a,3306,a,b,3809,a)]. 3819 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(123,a,3809,a(flip),b,2063,a)]. 3820 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [para(3809(a,1),2064(a,2,2))]. 3821 x \ T(y,x \ 1) = y * ((x \ y) / y). [para(3818(a,1),1071(a,1,2))]. 3822 K(x,(x / y) / x) \ 1 = T(x,y \ 1) \ x. [para(3805(a,2),3251(a,1,1))]. 3823 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(117(a,2),3810(a,1,2,1))]. 3824 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(3819(a,2),203(a,2,1))]. 3825 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(885,a,3821,a),flip(a)]. 3826 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(138,a,3821,a)]. 3827 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(122,a,3821,a,b,xx)]. 3828 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(90(a,1),3821(a,2,2,1))]. 3829 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(368(a,2),3821(a,2,2)),flip(a)]. 3830 L(x,y,y \ 1) \ T(x,L(x,y,y \ 1) \ 1) = x * (a(1 / y,y,x) / x). [para(2965(a,1),3821(a,2,2,1))]. 3831 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [para(3029(a,1),3821(a,1,2))]. 3832 (x * y) * ((y * x) * (K(y,x) / (y * x))) = T(y * x,(x * y) \ 1). [para(21(a,2),3826(a,1,2,2,1))]. 3834 T(x,T(L(y \ 1,y,x) \ 1,x)) = K(y,x) \ x. [para(1281(a,2),3795(a,1,1)),flip(a)]. 3835 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(66,a,1053,a(flip),b,3804,a)]. 3836 (x * y) / ((x * y) / x) != x * z | T(x,y) \ x = z. [para(3804(a,2),46(a,1))]. 3837 x * (((x * y) / ((x * y) / x)) \ z) = (x * (T(x,y) \ x)) \ (x * z). [para(3804(a,1),1313(a,1,1)),flip(a)]. 3838 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3820(a,1),2694(a,2,1,2))]. 3839 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(1187,a,3828,a)]. 3840 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(3835(a,1),1265(a,2,2,1,2))]. 3841 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(90(a,1),3829(a,2,2,2))]. 3842 T(x,((x * y) \ x) \ K(y,x)) = K(y,x) \ x. [para(1276(a,1),3834(a,1,2))]. 3843 ((L(x \ 1,x,y) \ 1) * y) / (L(x \ 1,x,y) \ 1) = y * K(x,y). [para(1281(a,2),3777(a,2,2))]. 3844 (((x * y) \ 1) * x) / ((x * y) \ 1) = x * (((x \ (1 / y)) * x) * y). [para(1429(a,1),3777(a,2,2))]. 3845 T(x \ T(x,y \ 1),z) = x \ T(x,T(y,z) \ 1). [hyper(285,a,3805,a(flip),b,3811,a),flip(a)]. 3846 K(x,(x / T(y \ 1,z)) / x) = T(x \ T(x,y),z). [para(3029(a,1),3811(a,1,1,2)),flip(a)]. 3847 T(x,T(y,y \ x) \ 1) != x * z | K(x,(y \ x) / x) = z. [para(3823(a,2),46(a,1))]. 3849 x \ (y * (x / y)) != z | K(((y / x) \ 1) \ x,(y / x) \ 1) = z. [para(3839(a,1),431(a,1,2))]. 3850 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3289(a,1),3845(a,2,2,2,1))]. 3851 T(x,T(y \ 1,z) \ 1) \ x = T(x \ T(x,y),z) \ 1. [para(3846(a,1),3822(a,1,1)),flip(a)]. 3852 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3781(a,1),834(a,1,1))]. 3853 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(285,a,3805,a(flip),b,3814,a),flip(a)]. 3854 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3773(a,1),3808(a,1,1))]. 3855 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3805(a,1),3812(a,1,1))]. 3856 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(14(a,1),3825(a,1,2,1)),flip(a)]. 3857 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(66,a,2927,a(flip),b,3856,a),flip(a)]. 3858 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(200(a,2),3857(a,1,2))]. 3859 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [para(3858(a,1),786(a,1,1)),flip(a)]. 3860 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(3070(a,1),3841(a,1,2))]. 3861 (x * (T(x,y) \ x)) \ (x * z) = x * ((x * (T(x,y) \ x)) \ z). [para(3804(a,1),3837(a,1,2,1)),flip(a)]. 3862 x * ((x * (T(x,y) \ x)) \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,x). [hyper(447,a,3861,a),flip(a)]. 3863 (((x * y) \ 1) * x) / ((x * y) \ 1) != x * z | ((x \ (1 / y)) * x) * y = z. [para(3844(a,2),46(a,1))]. 3864 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(66,a,3778,a(flip),b,3859,a)]. 3865 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(66,a,2183,a(flip),b,3864,a)]. 3866 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(14(a,1),3865(a,1,1,1)),flip(a)]. 3867 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(14(a,1),3866(a,1,1,1)),flip(a)]. 3868 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(66,a,3664,a(flip),b,3786,a)]. 3869 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2954(a,1),3868(a,2,1))]. 3870 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(66,a,3867,a(flip),b,3869,a),flip(a)]. 3871 x * L(x \ y,x,T(x,z) \ x) = L(y,T(x,z) \ x,x). [para(3227(a,1),3862(a,1,2))]. 3872 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(285,a,271,a(flip),b,3755,a)]. 3873 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(21(a,2),3852(a,2,1))]. 3874 R(x,y,T(K(z,z \ 1),y)) = R(x,K(z,z \ 1),y). [hyper(66,a,3748,a(flip),b,3736,a),flip(a)]. 3875 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [para(2394(a,1),3874(a,1,3)),flip(a)]. 3876 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1906(a,1),3875(a,1,2)),flip(a)]. 3878 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1906(a,1),3876(a,1,3)),flip(a)]. 3879 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(285,a,3853,a,b,3850,a),flip(a)]. 3880 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3029(a,1),3879(a,2,1,2))]. 3881 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(66,a,1413,a(flip),b,3840,a),flip(a)]. 3882 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(116(a,1),3881(a,2,1,2))]. 3883 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3779(a,1),3790(a,2,2))]. 3884 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = L((x \ 1) * z,K(x,x \ 1),y). [hyper(285,a,3714,a(flip),b,3746,a),flip(a)]. 3885 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2831(a,1),3838(a,1,1,1))]. 3886 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3720(a,1),3885(a,1,1,1))]. 3887 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(118(a,1),3886(a,1,1))]. 3888 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3827(a,1),3887(a,2,1))]. 3889 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = x \ y. [hyper(285,a,17,a(flip),b,3888,a),flip(a)]. 3890 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(38,a,2852,a(flip),b,3888,a)]. 3892 K(x \ 1,x) * (y \ ((x \ 1) \ 1)) = y \ x. [hyper(2416,a,3889,a)]. 3894 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [para(3889(a,1),2647(a,1,1)),flip(a)]. 3895 (x \ y) * K(y,y \ 1) = x \ T(y,y \ 1). [hyper(285,a,278,a,b,3890,a),flip(a)]. 3896 x \ (((y * (y \ z)) \ 1) \ 1) = (x \ z) * K(z,z \ 1). [para(154(a,2),3890(a,2,2,1)),flip(a)]. 3897 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [hyper(2401,a,3895,a)]. 3898 K(x,x \ 1) * ((y \ x) * z) = (y \ T(x,x \ 1)) * z. [para(3895(a,1),3634(a,1,1)),flip(a)]. 3900 x \ T(y,y \ 1) != z | (x \ y) * K(y,y \ 1) = z. [para(3897(a,1),2405(a,1))]. 3902 (x \ 1) * ((y \ T(x,x \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3898(a,1),2946(a,1,2))]. 3903 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(117(a,1),3902(a,1,2,1,2))]. 3904 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [hyper(124,a,3903,a(flip),b,404,a),flip(a)]. 3906 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3657(a,1),3725(a,1,2))]. 3907 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(66,a,3656,a(flip),b,3728,a)]. 3908 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(769,a,3906,a)]. 3909 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3654,a,3908,a),flip(a)]. 3911 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2409(a,2),3909(a,1,3))]. 3912 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K((x / (z * y)) \ 1,x / (z * y)). [para(487(a,1),3593(a,2,2))]. 3913 K(((x / y) / z) \ 1,R((x / y) / z,z,y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,3239,a(flip),b,3912,a),flip(a)]. 3914 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),(z * y) \ x). [para(487(a,1),3913(a,1,2))]. 3916 (1 / (x \ 1)) / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(1906(a,1),3680(a,2,2))]. 3917 x / T(y,y \ T(x,x \ 1)) = (y \ ((x \ 1) \ 1)) * K(x \ 1,x). [para(87(a,1),3916(a,1,1))]. 3919 x / T(y,y \ T(x,x \ 1)) = y \ x. [hyper(285,a,3889,a(flip),b,3917,a),flip(a)]. 3920 (1 / (1 / x)) / T(y,y \ x) = y \ (1 / (1 / x)). [para(324(a,1),3919(a,1,2,2,2))]. 3921 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [hyper(66,a,3721,a(flip),b,3920,a)]. 3922 (x \ (1 / (1 / y))) * K(y,y \ 1) = x \ y. [hyper(2855,a,3921,a)]. 3923 (x \ y) * K(y \ 1,y) = x \ (1 / (1 / y)). [hyper(2412,a,3921,a)]. 3924 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(3922(a,1),3634(a,1,1)),flip(a)]. 3925 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (1 / T(y \ 1,z))). [para(3238(a,1),3923(a,1,2))]. 3926 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(66,a,2999,a(flip),b,3924,a)]. 3927 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ (1 / (T(1 / y,z) \ 1)). [para(2380(a,1),3925(a,2,2,2))]. 3928 (x \ T(y \ 1,z)) * K(y,y \ 1) = x \ T(1 / y,z). [para(87(a,1),3927(a,2,2))]. 3930 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3657(a,1),3724(a,1,2,1))]. 3931 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3646(a,1),3930(a,1,2))]. 3932 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(770,a,3931,a)]. 3933 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3654,a,3932,a),flip(a)]. 3935 a(1 / x,y,z) = a(x \ 1,y,z). [para(1103(a,1),3933(a,1,1)),flip(a)]. 3936 a(x * (1 / y),z,u) = a(x * (y \ 1),z,u). [para(2646(a,1),3933(a,1,1)),flip(a)]. 3937 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [hyper(66,a,2965,a,b,3935,a)]. 3938 ((1 / x) * (x / y)) * y = a(x \ 1,x / y,y). [hyper(66,a,865,a,b,3935,a)]. 3939 a(x \ 1,x / y,y) / y = (1 / x) * (x / y). [hyper(123,a,3935,a(flip),b,865,a)]. 3940 a(x \ 1,x / y,y) \ y = L(y,x / y,x \ 1). [para(3935(a,1),3665(a,1,1))]. 3941 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3763(a,1),262(a,1))]. 3942 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(3941,a,3813,a)]. 3943 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3815(a,1),3942(a,1,1)),flip(a)]. 3944 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3029(a,1),3943(a,1,2,1,2)),flip(a)]. 3945 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3029(a,1),3944(a,1,1)),flip(a)]. 3946 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(14(a,1),3945(a,1,2,2)),flip(a)]. 3947 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(14(a,1),3946(a,1,2)),flip(a)]. 3948 L(x,y \ T(y,z),y) = x. [hyper(690,a,3947,a)]. 3950 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(135,a,3947,a)]. 3951 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(37,a,996,a,b,3947,a),flip(a)]. 3954 x * ((T(y,x) \ y) * z) = T(x,T(y,x)) * z. [para(3770(a,2),3947(a,1,2,1))]. 3955 T(x,y) * y = x * ((x * y) / x). [para(3772(a,1),3947(a,1,2)),flip(a)]. 3957 L(x,y,y \ T(y,z)) = x. [hyper(3435,a,3948,a)]. 3958 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(122,a,3948,a(flip),b,3512,a)]. 3959 L(x,T(y,T(z,y)) \ y,z) = x. [para(3788(a,2),3948(a,1,2))]. 3962 L(x,y,T(z,T(y,z)) \ z) = x. [para(3788(a,2),3957(a,1,3))]. 3963 L(x,T(y,z) \ y,(y * z) / y) = x. [para(208(a,1),3959(a,1,2,1,2))]. 3964 T(x,y) * (x \ y) = (x * y) / x. [hyper(1015,a,3955,a)]. 3965 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1003,a,3955,a),flip(a)]. 3967 T(x,x / (x / y)) = T(x,y). [hyper(38,a,1335,a,b,3955,a)]. 3968 T(x,x \ y) * (x \ y) = x * (y / x). [para(15(a,1),3955(a,2,2,1))]. 3970 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,(x * y) / x,x). [para(3955(a,2),1578(a,1,1,1))]. 3971 T(x,y) = (x / y) * ((x * y) / x). [hyper(66,a,1045,a,b,3967,a),flip(a)]. 3972 T(x,x / (1 / y)) = T(x,x * y). [hyper(66,a,1341,a(flip),b,3967,a)]. 3973 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(66,a,1060,a(flip),b,3967,a)]. 3974 (x / y) \ T(x,y) = (x * y) / x. [hyper(122,a,3967,a(flip),b,1045,a)]. 3975 T(x,x / y) = T(x,y \ x). [para(87(a,1),3967(a,1,2,2))]. 3976 T(x,(y \ x) \ x) = T(x,y). [para(181(a,1),3967(a,1,2)),flip(a)]. 3977 T(x,T(y,x)) * (y * x) = x * (x * y). [para(3967(a,1),1221(a,1,1))]. 3978 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(1186,a,3975,a)]. 3979 T(x,T(y,y \ x)) = T(x,y). [para(117(a,2),3976(a,1,2))]. 3980 T(x * y,T(x,y)) = T(x * y,x). [para(14(a,1),3979(a,1,2,2))]. 3981 T(x / y,T(y,x)) = y \ x. [hyper(224,a,744,a,b,3964,a)]. 3982 T(x,T(x \ y,y)) = (x \ y) \ y. [hyper(224,a,745,a(flip),b,3964,a)]. 3984 ((x * y) / x) \ (T(x,y) * ((x \ y) * z)) = L(z,x \ y,T(x,y)). [para(3964(a,1),23(a,2,1)),flip(a)]. 3985 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(97(a,1),3964(a,1,2))]. 3987 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3964(a,1),3209(a,1,1,1))]. 3988 T(x \ y,T(x,y)) = T(x \ y,x). [para(3981(a,1),231(a,1,1)),flip(a)]. 3989 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3981(a,1),1708(a,1,1)),flip(a)]. 3991 T(x / y,(x * y) / x) = y \ x. [hyper(224,a,3971,a(flip),b,1033,a(flip))]. 3993 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3972(a,1),1325(a,1,1))]. 3994 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(16(a,1),3974(a,1,1)),flip(a)]. 3995 T(x,T(x \ y,y)) = T(x,x \ y). [hyper(285,a,117,a,b,3982,a),flip(a)]. 3997 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [hyper(124,a,3988,a(flip),b,27,a(flip))]. 3999 x \ (y * T(y \ x,T(y,x))) = K(y \ x,y). [para(3988(a,2),398(a,1,2,2))]. 4001 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(122,a,3963,a(flip),b,3883,a),flip(a)]. 4002 R(x,x \ T(x,y),z) = x. [hyper(700,a,3950,a)]. 4003 R(x,x \ (K(y,x) \ x),z) = x. [para(3834(a,1),4002(a,1,2,2))]. 4004 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(66,a,3855,a(flip),b,3951,a),flip(a)]. 4005 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(66,a,3540,a(flip),b,3951,a),flip(a)]. 4007 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [para(14(a,1),3958(a,2,2))]. 4011 (x * (x * y)) / x != z * y | T(x,x * y) = z. [para(3965(a,2),47(a,1))]. 4012 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(122,a,3821,a,b,3968,a)]. 4013 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(66,a,3951,a,b,3968,a)]. 4014 ((x \ y) \ y) * (x \ y) = x * (y / x). [hyper(66,a,281,a(flip),b,3968,a)]. 4015 T(x,x \ y) * y = x * (x * (y / x)). [hyper(124,a,3968,a(flip),b,993,a),flip(a)]. 4019 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(185,a,4007,a)]. 4020 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(124,a,4014,a(flip),b,1065,a),flip(a)]. 4021 (x * (x * (T(y,z) / x))) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [hyper(123,a,4015,a(flip),b,1204,a)]. 4022 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3284,a,4019,a)]. 4023 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(4019(a,1),307(a,1,1)),flip(b)]. 4024 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(4019(a,1),3873(a,1,1)),flip(a)]. 4026 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(66,a,3447,a(flip),b,4022,a)]. 4027 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3774(a,1),3987(a,1,1))]. 4028 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(285,a,3973,a(flip),b,3993,a),flip(a)]. 4029 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(4028(a,1),223(a,1,2))]. 4030 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(4028(a,1),985(a,1,2)),flip(a)]. 4032 (T(x,y) \ x) * (x * y) = y * x. [hyper(37,a,3977,a(flip),b,3954,a),flip(a)]. 4033 K(x,y) = T(T(y,x) \ y,y * x). [hyper(224,a,4032,a,b,96,a),flip(a)]. 4034 (x * y) / (y * x) = T(y,x) \ y. [hyper(135,a,4032,a)]. 4035 T(x,y / x) \ x = y / (x * (y / x)). [hyper(123,a,17,a(flip),b,4032,a),flip(a)]. 4036 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4032(a,1),294(a,1,1)),flip(b)]. 4038 T(T(x,x \ y) \ x,y) = K(x \ y,x). [para(15(a,1),4033(a,2,2)),flip(a)]. 4039 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(42,a,3870,a,b,4034,a(flip))]. 4040 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(17(a,1),4034(a,1,2)),flip(a)]. 4042 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(2179(a,1),4039(a,1,2))]. 4043 T(x \ (y / (y / x)),y) = K(x \ y,x). [para(3801(a,1),4038(a,1,1))]. 4044 T(x \ T(x * y,y),x) = R(y,x,y). [para(3994(a,1),713(a,2,1)),flip(a)]. 4045 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3994(a,1),724(a,1,1))]. 4046 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(4045(a,1),98(a,1,1))]. 4048 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(138,a,4001,a)]. 4050 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(3176(a,1),4001(a,1,2))]. 4051 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(38,a,418,a,b,4030,a)]. 4052 (x * (y / x)) / y = (x \ y) \ (y / x). [para(118(a,1),4040(a,1,1)),flip(a)]. 4053 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(285,a,3799,a(flip),b,4052,a),flip(a)]. 4054 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(66,a,3807,a(flip),b,4053,a),flip(a)]. 4055 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(66,a,3785,a,b,4048,a)]. 4056 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(4050(a,1),3882(a,1,2,1))]. 4057 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3994(a,1),4051(a,1,1))]. 4059 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(15(a,1),4023(a,1,2))]. 4060 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(66,a,3999,a(flip),b,3989,a),flip(a)]. 4061 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(66,a,625,a(flip),b,4060,a),flip(a)]. 4062 K(x,T(y,y * x)) = K(x,y). [hyper(66,a,625,a(flip),b,4061,a),flip(a)]. 4064 K(x,y) = L(x \ T(x,T(y,x)),T(y,x),x). [hyper(66,a,3051,a(flip),b,4024,a)]. 4066 R(K(x,y),x,z) = K(x,y). [hyper(285,a,4024,a,b,4064,a)]. 4068 (K(x,y) * x) * z = K(x,y) * (x * z). [para(4066(a,1),112(a,1,1)),flip(a)]. 4069 (x * L(K(x,y),z,u)) * (1 / x) = L(K(x,y),z,u) * K(x,x \ 1). [para(4066(a,1),3504(a,1,1,1)),flip(a)]. 4070 L(x,y,K(y,z)) = x. [hyper(445,a,4068,a)]. 4071 (x * K(x,y)) * z = K(x,y) * (x * z). [para(3347(a,1),4068(a,1,1))]. 4072 L(x,y,K(y,z)) != u | u = x. [para(4070(a,1),53(a,1)),flip(a)]. 4074 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1139,a,4026,a),flip(a)]. 4076 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(609,a,4054,a)]. 4077 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [hyper(124,a,4076,a(flip),b,117,a(flip))]. 4078 T(x,(x / y) \ 1) = T(x,x \ y). [para(90(a,1),4076(a,1,2,2)),flip(a)]. 4079 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4076(a,1),249(a,1,2))]. 4081 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4076(a,1),3801(a,1,1)),flip(a)]. 4082 (x / y) \ T(x,x \ y) = x * (y / x). [para(4078(a,1),3828(a,1,2))]. 4083 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(90(a,1),4077(a,1,2,2))]. 4084 (x \ ((y \ 1) \ x)) * T(x,y) = (y \ 1) \ x. [para(3029(a,1),4077(a,1,2))]. 4085 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3029(a,1),4079(a,1,2))]. 4086 (x * T(x \ (T(x,x \ y) * y),z)) / y = (x / y) * T(x * (y / x),z). [para(4082(a,1),1352(a,2,2,1))]. 4087 ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). [para(4082(a,1),1666(a,1,1,2,1))]. 4088 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4076(a,1),4012(a,1,1))]. 4089 T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(2960(a,1),4088(a,2,2))]. 4090 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(66,a,3771,a(flip),b,4074,a)]. 4091 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(4074(a,1),3793(a,1,1)),flip(a)]. 4092 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(66,a,4081,a(flip),b,4090,a)]. 4093 K(x,y) = T(y,((y * x) \ y) \ 1) \ y. [hyper(285,a,1266,a,b,4092,a)]. 4094 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(285,a,1110,a,b,4092,a)]. 4095 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(285,a,883,a(flip),b,4092,a),flip(a)]. 4096 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) = L(z,T(y \ 1,x),y). [para(4092(a,2),23(a,2,1)),flip(a)]. 4098 T(T(x,y \ 1) \ x,z) = K(x \ (x / T(y,z)),x). [para(4092(a,2),1396(a,1,1))]. 4099 x * (T(x,y \ 1) \ x) = y * ((x \ (y \ x)) * x). [para(4092(a,2),3250(a,2,2)),flip(a)]. 4100 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4094(a,2),3168(a,1,1))]. 4101 T(x,y) \ x = y \ T(y,x). [para(3029(a,1),4095(a,1,1))]. 4102 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(285,a,3771,a(flip),b,4101,a),flip(a)]. 4104 (x * y) / x = y * (T(y,x) \ y). [hyper(124,a,4101,a,b,3768,a),flip(a)]. 4105 T(x,T(y,x)) = T(x,y). [hyper(42,a,3788,a,b,4101,a)]. 4106 x * ((T(y,x) \ 1) * T(y,y \ 1)) = T(x,y). [hyper(124,a,2437,a,b,4101,a(flip))]. 4107 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4101(a,2),3947(a,1,2,1))]. 4108 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4101(a,2),3951(a,1,1)),flip(a)]. 4109 K(x,y) = T(x \ T(x,y),y * x). [para(4101(a,1),4033(a,2,1))]. 4110 x * (T(x,y) \ y) = T(y,x). [hyper(1063,a,4105,a)]. 4111 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(635,a,4105,a),flip(a)]. 4112 T(x,x \ y) \ y = T(x \ y,x). [hyper(634,a,4105,a)]. 4113 T(x,y) \ (x * y) = T(y,x). [hyper(633,a,4105,a)]. 4114 T((T(x,y) * y) / T(x,y),x) = y. [hyper(426,a,4105,a)]. 4115 R(T(x,x * y),y,x) = T(x,y). [hyper(66,a,4028,a,b,4105,a)]. 4116 (x / T(y,x)) * y = T(x,y). [hyper(66,a,3973,a,b,4105,a)]. 4118 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(66,a,4042,a(flip),b,4105,a),flip(a)]. 4119 T(x,y) * T(y,x) = x * y. [hyper(124,a,4105,a(flip),b,220,a)]. 4120 T(x,y) / y = x / T(y,x). [hyper(123,a,4105,a(flip),b,3973,a)]. 4121 T(x,y) \ y = x \ T(y,x). [hyper(122,a,4105,a(flip),b,1018,a),flip(a)]. 4122 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(28(a,1),4105(a,1,2))]. 4123 T(x,y / x) = T(x,x \ y). [para(118(a,1),4105(a,1,2)),flip(a)]. 4124 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4105(a,1),221(a,1,2,1))]. 4126 (x * y) / T(y,x) = T(x,y). [para(4105(a,1),251(a,1,2))]. 4127 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4105(a,1),222(a,1,2,1))]. 4128 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4105(a,1),223(a,1,2,1))]. 4129 T((x \ y) \ y,T(z,x)) = T(T(x,z),x \ y). [para(4105(a,1),282(a,1,1)),flip(a)]. 4130 T(x,T(y,y * x)) = T(x,L(y,x,y)). [para(664(a,1),4105(a,1,2))]. 4131 T(x,y) * R(T(T(y,x),z),u,w) = R(T(y,z),u,w) * T(x,y). [para(4105(a,1),591(a,1,2,1,1))]. 4133 T(x,y) * (y * x) = x * (x * y). [para(4105(a,1),3977(a,1,1))]. 4134 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4105(a,1),4029(a,1,2)),flip(a)]. 4136 K(x \ 1,x) * T(y,(x \ 1) \ 1) = x * (T((x \ 1) \ 1,y) \ y). [hyper(124,a,4110,a(flip),b,2894,a)]. 4140 T(x,y) = (x \ (y * x)) \ (y * x). [para(27(a,1),4113(a,1,1)),flip(a)]. 4141 x * T(y,z) != z * y | T(z,y) = x. [para(4113(a,1),134(a,1,2)),flip(b)]. 4143 T(x / T(y,x),y) = y \ T(x,y). [hyper(224,a,4116,a,b,15,a)]. 4144 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(123,a,4105,a(flip),b,4116,a)]. 4145 T(x,y) = (x * (x * y)) / (y * x). [hyper(66,a,1223,a,b,4116,a),flip(a)]. 4147 T(x,y) * (x \ T(y,x)) = y. [hyper(1015,a,4119,a)]. 4148 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [hyper(124,a,4119,a(flip),b,176,a)]. 4149 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4119(a,1),19(a,2,1,2)),flip(a)]. 4150 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4119(a,1),19(a,2,2,1)),flip(a)]. 4151 (x * y) \ (T(x,y) * (T(y,x) * z)) = L(z,T(y,x),T(x,y)). [para(4119(a,1),23(a,2,1)),flip(a)]. 4152 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(4119(a,1),105(a,2,1))]. 4153 (x * T(y,z)) * T(z,y) != u * (y * z) | R(x,T(y,z),T(z,y)) = u. [para(4119(a,1),475(a,2,2))]. 4154 (T(x,y) / y) \ x = T(y,x). [hyper(180,a,4120,a(flip))]. 4155 x / (y \ T(x,y)) = T(y,x). [hyper(185,a,4121,a)]. 4157 x * (T(x,y) \ y) != z | T(y,x) = z. [para(4121(a,2),240(a,1,2)),flip(b)]. 4158 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4121(a,1),94(a,1,1,2,1))]. 4159 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4121(a,2),1435(a,2,1))]. 4160 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(4121(a,1),1828(a,1,2,1))]. 4161 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4121(a,1),1727(a,1,2,1))]. 4162 T(x,y / x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4123,a),flip(a)]. 4163 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(66,a,731,a,b,4123,a)]. 4164 (x / y) * T(y,y \ x) = y * (x / y). [hyper(124,a,4123,a(flip),b,27,a(flip))]. 4165 (x * (y / x)) / T(x,x \ y) = y / x. [para(4123(a,1),179(a,1,2))]. 4166 x / T(y,x / y) = y \ x. [para(4123(a,2),249(a,1,2))]. 4167 T(x,y / x) != z | (x \ y) \ y = z. [para(4123(a,2),632(a,1))]. 4169 (x * (y / x)) * x = y * T(x,x \ y). [para(4123(a,1),857(a,2,2))]. 4170 T(x,T(y,x / y)) = T(x,y). [para(4123(a,2),3979(a,1,2))]. 4171 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(32(a,2),4126(a,1,2))]. 4172 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4126(a,1),744(a,1,1)),flip(a)]. 4174 (T(x,y) / y) \ ((x / T(y,x)) * z) = z. [para(4154(a,1),312(a,1,2,1,2))]. 4175 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ T(1,y),(y \ T(1,y)) \ 1) / T(y,1). [para(4155(a,1),2735(a,2,2))]. 4178 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4162(a,1),857(a,2,2))]. 4179 x / T(y \ x,y) = (y \ x) \ x. [para(87(a,1),4166(a,1,2,2))]. 4180 T(x * y,T(y,x)) = T(x * y,y). [para(16(a,1),4170(a,1,2,2))]. 4181 T(x,x * (y / x)) = T(x,y). [hyper(45,a,731,a,b,4115,a),flip(a)]. 4182 T(x,y * x) = T(x,x * y). [hyper(45,a,727,a,b,4115,a)]. 4183 R(T(x,y),x \ y,x) = T(x,x \ y). [para(15(a,1),4115(a,1,1,2))]. 4184 (x * (x * (y / x))) / x = T(x,y) * (y / x). [para(4181(a,1),3965(a,2,1))]. 4185 ((x * (y / x)) / T(x,y)) * x = T(x * (y / x),x). [para(4181(a,1),4116(a,1,1,2))]. 4186 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4181(a,1),4147(a,1,1))]. 4187 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(66,a,32,a,b,4182,a)]. 4188 T(x,(x \ y) * x) = T(x,y). [para(15(a,1),4182(a,2,2))]. 4189 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4182(a,1),28(a,1,1))]. 4190 x * T(y,x * y) = L(y,x,y) * x. [para(4182(a,2),667(a,1,2))]. 4191 ((x * (y * x)) / x) / T(x,x * y) = y. [para(4182(a,1),752(a,1,2))]. 4192 x * L(T(y,x * y),z,u) = L(L(y,x,y),z,u) * x. [para(4182(a,2),671(a,1,2,1))]. 4193 K(x,T(y,x * y)) = K(x,y). [para(4182(a,2),4062(a,1,2))]. 4194 (x * ((x \ y) * x)) / x = (x \ y) * T(x,y). [hyper(124,a,4188,a(flip),b,753,a),flip(a)]. 4195 T(x \ y,x * (y / x)) = T(x \ y,y). [para(4014(a,1),4188(a,1,2))]. 4196 K(x,T(x \ y,y)) = K(x,x \ y). [para(15(a,1),4193(a,1,2,2))]. 4197 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(285,a,3802,a,b,4104,a),flip(a)]. 4198 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),208(a,1,1))]. 4199 ((x * y) / x) \ x = y \ ((y * x) / y). [para(4104(a,2),4050(a,1,2)),flip(a)]. 4200 T(x / (x / y),y \ x) = y. [para(3802(a,2),4198(a,1,1))]. 4201 (x / (x / y)) * (y \ x) = (y \ x) * y. [hyper(124,a,4200,a(flip),b,27,a(flip)),flip(a)]. 4202 T(T(x / (x / y),z),y \ x) = T(y,z). [para(4200(a,1),28(a,1,1)),flip(a)]. 4203 T(x / (x / (x / y)),y) = x / y. [para(90(a,1),4200(a,1,2))]. 4205 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(285,a,3845,a(flip),b,4109,a)]. 4206 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4111(a,1),695(a,1,1))]. 4207 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(285,a,4044,a(flip),b,4112,a),flip(a)]. 4208 T((1 / (1 / x)) \ y,1 / (1 / x)) = T(1 / (1 / x),x \ y) \ y. [para(2917(a,1),4112(a,1,1)),flip(a)]. 4209 T(x,(1 / x) * y) = T(x,x \ y). [hyper(66,a,2954,a,b,4118,a)]. 4210 T(x \ 1,(x \ 1) \ y) = T(x \ 1,x * y). [hyper(66,a,2903,a(flip),b,4118,a),flip(a)]. 4211 T(x,x \ ((x \ 1) \ y)) = T(x,y). [para(15(a,1),4118(a,1,2)),flip(a)]. 4212 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4118(a,1),3872(a,2,1,2))]. 4213 (x * (x * y)) \ ((x * y) * x) = K(y * x,T(x,y)). [para(4133(a,1),858(a,1,1))]. 4214 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,T(x,y)). [para(4133(a,1),1574(a,2,2,1)),flip(a)]. 4215 ((x / y) * x) / (y * (x / y)) = T(x / y,y). [para(17(a,1),4145(a,2,1,2)),flip(a)]. 4216 (x * (y / x)) / x = y / (y / (y / x)). [hyper(254,a,4203,a)]. 4217 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4203(a,1),702(a,1,1))]. 4218 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(15(a,1),4209(a,1,2)),flip(a)]. 4219 x / T(y,(1 / y) * x) = y \ x. [para(4209(a,2),249(a,1,2))]. 4220 T((x \ 1) \ y,T(x,y)) = T((x \ 1) \ y,x). [para(4211(a,1),3979(a,1,2))]. 4221 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [hyper(124,a,4218,a(flip),b,117,a(flip))]. 4222 T(x,T(y,x)) != z | T(x,y) = z. [para(1018(a,1),4157(a,1))]. 4223 T(x,x \ y) != z | T(x,y / x) = z. [para(118(a,1),4222(a,1,2))]. 4225 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(285,a,117,a(flip),b,4183,a),flip(a)]. 4227 L(x,y,(y * x) / y) = L(x,y,x). [hyper(871,a,4190,a)]. 4228 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(755,a,4190,a)]. 4229 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(754,a,4190,a)]. 4230 T((x * y) / x,x * y) = L(y,x,y). [hyper(427,a,4190,a)]. 4231 (x * (y * x)) / x = L(x,y,x) * y. [hyper(66,a,741,a,b,4190,a)]. 4232 T(L(x,y,x) * y,x) = y * x. [para(4190(a,1),738(a,1,1))]. 4233 (L(x,y,x) * y) * x = x * (y * x). [para(4190(a,1),739(a,1,1))]. 4234 T(x,L(x,y,x) * y) = T(x,y * x). [para(4232(a,1),4105(a,1,2)),flip(a)]. 4236 T((x * y) / x,L(x,y,x)) = y. [hyper(1577,a,4229,a)]. 4237 T(x,L(y,x,y)) = T(x,y). [para(4236(a,1),253(a,1,1)),flip(a)]. 4238 T(x,T(y,y * x)) = T(x,y). [hyper(66,a,4130,a,b,4237,a)]. 4239 L(x,y,x) * T(y,x) = y * L(x,y,x). [hyper(124,a,4237,a(flip),b,27,a(flip))]. 4241 T(x,x * y) * L(T(y,x),z,u) = L(y,z,u) * T(x,x * y). [para(4238(a,1),222(a,1,2,1))]. 4242 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4238(a,1),223(a,1,2,1))]. 4245 L(R(x,y,x),y,x) = x. [hyper(38,a,472,a,b,4233,a(flip))]. 4247 R(x,y,T(x,y)) = R(x,y,x). [hyper(44,a,1059,a,b,4245,a)]. 4248 x \ T(y * x,y) = R(y,x,y). [hyper(44,a,450,a,b,4245,a)]. 4250 x * R(y,x,y) = T(y * x,y). [hyper(124,a,4247,a(flip),b,1057,a)]. 4251 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4105(a,1),4247(a,1,3))]. 4252 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(15(a,1),4248(a,1,2,1)),flip(a)]. 4253 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4248(a,1),105(a,1,1)),flip(a)]. 4254 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4250(a,1),304(a,1,2)),flip(b)]. 4255 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4250(a,1),1633(a,1,1))]. 4256 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4250(a,1),2550(a,2,1))]. 4257 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(285,a,4182,a(flip),b,4234,a),flip(a)]. 4258 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(672(a,1),4234(a,1,2))]. 4259 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4257(a,1),1220(a,1,1))]. 4260 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(87(a,1),4100(a,1,1,1,2)),flip(a)]. 4261 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(66,a,4035,a(flip),b,4102,a)]. 4262 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(37,a,1064,a,b,4107,a),flip(a)]. 4263 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(285,a,4048,a,b,4108,a)]. 4264 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4159(a,2),4145(a,2,2)),flip(a)]. 4265 (x * T(y,y \ x)) / y = y * (x / y). [hyper(66,a,1206,a,b,4164,a)]. 4266 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4120(a,1),4164(a,1,1))]. 4267 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(123,a,4169,a(flip),b,1203,a)]. 4268 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [hyper(122,a,4169,a(flip),b,645,a)]. 4270 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(4178(a,1),275(a,1,1))]. 4271 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(66,a,28,a,b,4189,a),flip(a)]. 4272 T(T(x,y),(z \ 1) * x) = T(T(x,z \ x),y). [para(1705(a,1),4189(a,1,1)),flip(a)]. 4273 T(x / (x / y),x) = L(y,y \ x,y). [para(4197(a,1),676(a,1,1))]. 4274 T(T(x / (x / y),z),x) = T(L(y,y \ x,y),z). [para(4273(a,1),28(a,1,1)),flip(a)]. 4275 R(T(x / (x / y),x),z,u) = L(R(y,z,u),y \ x,y). [para(4273(a,2),34(a,1,1))]. 4276 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(66,a,1231,a,b,4201,a)]. 4277 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4239(a,1),47(a,1)),flip(a)]. 4278 K(x \ y,x) \ x = x * K(x,y / x). [hyper(66,a,3810,a(flip),b,4260,a),flip(a)]. 4281 ((x * y) * T(x,y)) / (x * y) != z | R(x,y,x) = z. [para(4134(a,1),294(a,1,1)),flip(b)]. 4282 x * (K(y,y \ 1) * ((T(y,x) \ 1) * y)) = T(x,y). [para(2835(a,2),4106(a,1,2))]. 4283 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(122,a,4119,a(flip),b,4124,a)]. 4284 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(30(a,2),4283(a,1,1))]. 4285 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(632,a,4210,a),flip(a)]. 4286 ((x \ 1) \ (x \ y)) \ (x \ y) = T(x \ 1,y). [para(15(a,1),4285(a,1,2)),flip(a)]. 4287 ((x / y) * x) / (y * (x / y)) = y \ x. [hyper(285,a,118,a(flip),b,4215,a),flip(a)]. 4288 (x * (y / x)) \ ((y / x) * y) = T(x \ y,x * (y / x)). [para(4287(a,1),118(a,1,1)),flip(a)]. 4289 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(285,a,4188,a(flip),b,4258,a),flip(a)]. 4290 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4289(a,1),1218(a,1,1))]. 4291 x * K(y \ (y / (x \ z)),y) = (T(y,x / z) \ y) * x. [hyper(285,a,1265,a(flip),b,4262,a)]. 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(66,a,1302,a,b,4263,a)]. 4294 T(T(x,y),(z \ 1) * x) = T(T(x,y),z \ x). [hyper(285,a,28,a,b,4272,a),flip(a)]. 4295 ((x * y) / x) * (y \ z) = y * (T(y,x) \ z). [hyper(124,a,994,a(flip),b,4292,a)]. 4296 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(66,a,1300,a,b,4295,a)]. 4297 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(285,a,999,a,b,4296,a),flip(a)]. 4298 T(T(x / (x / y),z),x) = L(T(y,z),y \ x,y). [hyper(285,a,30,a,b,4274,a),flip(a)]. 4299 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(285,a,3795,a(flip),b,4091,a),flip(a)]. 4300 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(4222,a,4299,a),flip(a)]. 4301 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4222,a,4300,a),flip(a)]. 4303 T(x,y / (z * y)) = T(x,z \ 1). [para(14(a,1),4301(a,1,2,1))]. 4304 T(x,(y / z) \ 1) = T(x,z / y). [para(90(a,1),4301(a,1,2,1)),flip(a)]. 4306 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(4167,a,4303,a),flip(a)]. 4311 x / T(y * x,y \ 1) = (y * x) \ x. [para(4303(a,1),4166(a,1,2))]. 4312 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4304(a,1),3880(a,1,1,2))]. 4313 T((x \ 1) * y,x) = (((x \ 1) * y) \ y) \ y. [hyper(66,a,3029,a(flip),b,4306,a)]. 4314 (((x \ 1) * y) \ y) * T((x \ 1) * y,x) = y. [hyper(124,a,3029,a(flip),b,4306,a(flip))]. 4315 T((1 / x) * y,x) = (((1 / x) * y) \ y) \ y. [para(90(a,1),4306(a,1,2))]. 4316 ((((x / y) \ 1) * x) \ x) \ x = ((x / y) \ 1) * (y * (x / y)). [hyper(66,a,2180,a(flip),b,4313,a),flip(a)]. 4317 T(((x \ 1) * y) \ y,(x \ 1) * y) = T((x \ 1) * y,x) \ y. [para(4313(a,2),4111(a,2,1))]. 4318 T(((x \ 1) * y) \ y,T((x \ 1) * y,x)) = T((x \ 1) * y,x) \ y. [hyper(224,a,4314,a,b,15,a)]. 4320 T(((1 / x) * y) \ y,(1 / x) * y) = T((1 / x) * y,x) \ y. [para(4315(a,2),4111(a,2,1))]. 4321 T(T(x,y \ 1) \ x,z) = T(x,T(y,z) \ 1) \ x. [hyper(285,a,4094,a(flip),b,4098,a),flip(a)]. 4322 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(662(a,1),4127(a,1,2))]. 4323 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(285,a,4239,a(flip),b,4322,a),flip(a)]. 4325 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4182(a,2),4323(a,1,2))]. 4326 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(66,a,674,a,b,4325,a)]. 4328 L(x,T(y,x),x) = L(x,y,x). [hyper(4277,a,4326,a),flip(a)]. 4329 T(x * L(y,x,y),y) = T(x,y) * y. [para(4326(a,1),4232(a,1,1))]. 4330 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(285,a,4228,a,b,4328,a)]. 4331 L(x,y / x,x) = L(x,x \ y,x). [para(118(a,1),4328(a,1,2)),flip(a)]. 4332 L(x,T(y,y * x),x) = L(x,L(y,x,y),x). [para(664(a,1),4328(a,1,2))]. 4333 (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(4128(a,1),212(a,1,1,2))]. 4334 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4115(a,1),4128(a,1,2)),flip(a)]. 4335 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4163(a,1),4128(a,1,2)),flip(a)]. 4336 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4183(a,1),4128(a,1,2)),flip(a)]. 4337 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1440(a,1),4186(a,1,2))]. 4338 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4120(a,1),4337(a,1,2))]. 4339 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4338(a,1),46(a,1)),flip(a)]. 4341 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4118(a,1),4205(a,1,2,2,1))]. 4342 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [hyper(138,a,4341,a),flip(a)]. 4343 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(3847,a,4342,a)]. 4344 (x \ y) * K(y,x \ 1) != y * z | (x \ y) / y = z. [para(4343(a,1),433(a,1,2))]. 4345 K(x * y,T(y,x)) = K(y * x,y). [hyper(310,a,4213,a),flip(a)]. 4346 K(x * y,T(y,x)) != z | K(y * x,y) = z. [para(4213(a,1),310(a,1))]. 4347 T(T(x,(y \ 1) \ 1) \ x,z) = T(x \ T(x,y),z) \ 1. [hyper(285,a,3851,a(flip),b,4321,a),flip(a)]. 4348 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(1770(a,1),4171(a,1,2,1))]. 4349 T(L(L(x,y,x),z,u) * y,x) = L(x,z,u) * T(y,x). [para(4192(a,1),1687(a,1,1))]. 4350 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(285,a,4255,a(flip),b,4334,a),flip(a)]. 4351 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4350(a,1),4253(a,1,2))]. 4352 R(x,y / x,x) = R(x,x \ y,x). [hyper(38,a,4335,a,b,4336,a)]. 4354 R(x,(x * y) / x,x) = R(x,y,x). [para(14(a,1),4352(a,2,2))]. 4355 R(x,x \ y,x) * y = (x * (y / x)) * x. [para(4352(a,1),467(a,1,1))]. 4356 R(x,T(y,x),x) = R(x,y,x). [para(209(a,1),4354(a,1,2)),flip(a)]. 4357 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(66,a,4251,a,b,4356,a)]. 4358 R(T(x,y),T(z,x),T(x,z)) = T(R(x,z,x),y). [para(4357(a,1),32(a,2,1))]. 4359 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4357(a,1),36(a,1,1)),flip(a)]. 4361 R(T(x,y),T(z,x),T(x,z)) = R(T(x,y),z,x). [hyper(285,a,32,a,b,4358,a),flip(a)]. 4362 R(T(T(x,y),z),T(u,x),T(x,u)) = T(R(T(x,y),u,x),z). [para(4361(a,1),32(a,2,1))]. 4364 (x * (y / x)) \ ((y / x) * y) = T(x \ y,y). [hyper(285,a,4195,a(flip),b,4288,a),flip(a)]. 4365 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(66,a,1283,a(flip),b,4291,a),flip(a)]. 4366 T(x \ T(x,y),z) \ 1 = T(T(x,y) \ x,z). [para(3029(a,1),4347(a,1,1,1)),flip(a)]. 4367 1 / T(T(x,y) \ x,z) = T(x \ T(x,y),z). [hyper(185,a,4366,a)]. 4368 T(T(x,y) \ x,z) \ 1 = T(x \ T(x,y),z). [hyper(66,a,3338,a(flip),b,4367,a)]. 4369 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(R(y,x,x \ 1) \ ((x * y) * (x \ 1)),z) \ 1. [para(718(a,1),4368(a,1,1,1,1)),flip(a)]. 4370 R(T(T(x,y),z),T(u,x),T(x,u)) = R(T(T(x,y),z),u,x). [hyper(285,a,32,a,b,4362,a),flip(a)]. 4371 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4359(a,1),4148(a,1,1)),flip(a)]. 4372 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(285,a,638,a(flip),b,4217,a),flip(a)]. 4373 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4216(a,2),4372(a,1,2))]. 4374 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(16(a,1),4312(a,1,1,2,2))]. 4375 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(66,a,3220,a(flip),b,4374,a),flip(a)]. 4376 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4375(a,1),3782(a,1,1))]. 4377 L(x,y \ 1,(z * y) / z) = y * ((y \ 1) * x). [hyper(3798,a,4376,a)]. 4378 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(92(a,1),4376(a,1,2))]. 4380 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(117(a,1),4378(a,1,1,2))]. 4381 x / ((y \ x) * y) = y \ ((y \ x) \ x). [hyper(185,a,4380,a)]. 4382 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(285,a,4053,a,b,4381,a)]. 4384 L(x,y \ 1,(z * y) / z) = L(x,y \ 1,y). [hyper(285,a,242,a(flip),b,4377,a),flip(a)]. 4385 L(x,y \ 1,y * K(z,y)) = L(x,y \ 1,y). [para(3843(a,1),4384(a,1,3))]. 4386 L((x \ 1) \ y,x \ 1,x * K(z,x)) = x * y. [hyper(285,a,452,a(flip),b,4385,a),flip(a)]. 4387 K(x,y) * (z * T(z \ (y * z),u)) = (K(x,y) * T(y,u)) * z. [para(4386(a,1),3383(a,1,2,2,1,2))]. 4389 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3951(a,1),4004(a,2,2))]. 4390 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2925(a,1),4005(a,1,2))]. 4391 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(66,a,3503,a(flip),b,4390,a),flip(a)]. 4392 (T(x,y) * (y * x)) / T(x,y) = T(x,y * x) * T(y,x). [hyper(285,a,4124,a(flip),b,4172,a),flip(a)]. 4393 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(285,a,4013,a(flip),b,4212,a),flip(a)]. 4394 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(66,a,2534,a(flip),b,4267,a),flip(a)]. 4395 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(414(a,1),4387(a,1,2)),flip(a)]. 4397 L(x,T(y,z),K(u,y)) = x. [hyper(445,a,4395,a)]. 4398 K(x,y) / (T(y,z) \ 1) = K(x,y) * T(y,z). [hyper(123,a,82,a(flip),b,4395,a)]. 4399 L(x,y,K(z,y)) = x. [para(115(a,1),4397(a,1,2))]. 4400 (K(x,y) * y) * z = K(x,y) * (y * z). [hyper(1176,a,4399,a),flip(a)]. 4401 a(K(x,y),y,z) = 1. [hyper(56,a,4399,a)]. 4402 L(x,y,T(y,z) \ y) = x. [para(3175(a,1),4399(a,1,3))]. 4403 L(x,T(y,z) \ y,y) = y * (y \ x). [para(4402(a,1),3871(a,1,2)),flip(a)]. 4404 L(x,T(y,z) \ y,y) = x. [hyper(285,a,15,a(flip),b,4403,a),flip(a)]. 4408 L(x,K(y,z),z) = x. [para(4093(a,2),4404(a,1,2))]. 4409 (x * K(y,x)) * z = x * (K(y,x) * z). [hyper(1176,a,4408,a),flip(a)]. 4411 (x * (K(y,x) * z)) / z = x * K(y,x). [para(4408(a,1),178(a,1,2))]. 4413 R(K(x,y),y,z) = K(x,y). [hyper(475,a,4400,a)]. 4414 (x * K(y,x)) * z = K(y,x) * (x * z). [para(3186(a,1),4400(a,1,1))]. 4415 R(x,K(y,x),z) = x. [hyper(475,a,4409,a)]. 4416 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(4409(a,1),23(a,2,1)),flip(a)]. 4418 R(T(x,y),K(z,x),u) = T(x,y). [para(4415(a,1),32(a,2,1))]. 4419 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(4415(a,1),471(a,1,1,1)),flip(a)]. 4420 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(4415(a,1),473(a,1,1,1)),flip(a)]. 4423 R(T(x,((x * y) \ x) \ K(y,x)),K(z,x),u) = K(y,x) \ x. [hyper(285,a,3842,a(flip),b,4418,a),flip(a)]. 4424 K(x,y) \ (z * (y * K(x,y))) = y * T(z,y * K(x,y)). [hyper(516,a,4414,a)]. 4425 (x * K(y,x)) * (x \ z) = K(y,x) * z. [hyper(285,a,152,a(flip),b,4414,a),flip(a)]. 4426 (x * K(y,x)) \ z = x \ (K(y,x) \ z). [hyper(122,a,84,a(flip),b,4414,a)]. 4427 K(x,y) * (y * z) = y * (K(x,y) * z). [hyper(66,a,4409,a(flip),b,4414,a),flip(a)]. 4428 x * (K(y,x) * (x \ z)) = K(y,x) * z. [hyper(66,a,4409,a(flip),b,4425,a)]. 4430 x \ (K(y,x) \ x) = K(y,x) \ 1. [hyper(66,a,3555,a(flip),b,4426,a),flip(a)]. 4431 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(124,a,3555,a(flip),b,4426,a(flip))]. 4433 R(x,K(y,x) \ 1,z) = x. [para(4430(a,1),4003(a,1,2))]. 4435 K(x \ y,x) \ 1 = K(x,y / x). [hyper(37,a,4278,a(flip),b,4431,a),flip(a)]. 4436 (K(x,y) \ 1) \ (K(x,y) \ y) = y. [hyper(122,a,4431,a(flip),b,3472,a)]. 4438 R(x,K(y,x) \ 1,z) \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4431(a,1),176(a,1,2,1))]. 4439 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(4431(a,1),3475(a,1,1))]. 4441 K(x,(x * y) / x) = K(y,x) \ 1. [para(14(a,1),4435(a,1,1,1)),flip(a)]. 4443 (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). [para(4436(a,1),884(a,1,2,1))]. 4444 K(T(x,y),y) \ 1 = K(y,x). [para(209(a,1),4441(a,1,2)),flip(a)]. 4446 K(T(x,y),y) * K(y,x) = 1. [hyper(138,a,4444,a)]. 4447 K(T(x,y),y) = K(y,x) \ 1. [hyper(42,a,2510,a,b,4444,a),flip(a)]. 4448 R(x,K(x,y),z) = x. [para(4444(a,1),4433(a,1,2))]. 4450 R(T(x,y),K(x,z),u) = T(x,y). [para(4448(a,1),32(a,2,1))]. 4451 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4448(a,1),472(a,1,1,1)),flip(a)]. 4452 (R(x,y,z) * K(x,u)) * w = R(x,y,z) * (K(x,u) * w). [para(4448(a,1),473(a,1,1,1)),flip(a)]. 4454 (x * K(x,y)) * y = x * (y * K(x,y)). [para(4448(a,1),3212(a,1,1)),flip(a)]. 4455 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(4446(a,1),304(a,1,2)),flip(b)]. 4457 x * K(T(y,x),x) = K(x,y) \ x. [hyper(124,a,4447,a,b,3522,a)]. 4458 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(4450(a,1),473(a,1,1,1)),flip(a)]. 4459 K(x \ y,x) \ 1 != z | K(x,y / x) = z. [para(118(a,1),4455(a,1,1,1))]. 4460 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(4447(a,2),4455(a,1))]. 4463 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(4427(a,1),303(a,1))]. 4465 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),442(a,1,1))]. 4467 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [hyper(138,a,4439,a)]. 4468 K(x,y) * (x * y) = x * (y * K(x,y)). [hyper(66,a,4071,a(flip),b,4454,a)]. 4469 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(4467(a,1),2699(a,1,1)),flip(a)]. 4470 K(x,y) \ (x * (y * K(x,y))) != y * z | T(x,y) = z. [para(4468(a,1),375(a,1,2))]. 4471 K(T(x,x \ y),x \ y) != z | K(x,y / x) = z. [para(4447(a,2),4459(a,1))]. 4472 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(4027(a,2),4460(a,1))]. 4474 K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). [hyper(66,a,280,a(flip),b,4443,a),flip(a)]. 4475 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) != w | K(u,R(x,y,z)) * ((x * y) * z) = w. [para(176(a,1),4463(a,1,2,2))]. 4477 R(K(x,y),x,z) != u | K(x,y) = u. [para(4024(a,2),4472(a,1))]. 4478 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3195(a,1),4420(a,1,1))]. 4479 T(x,y * K(x,y)) = T(x,y). [hyper(4470,a,4424,a),flip(a)]. 4480 T(L(L(x * K(y,x),y,x * K(y,x)),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(4479(a,1),4349(a,2,2))]. 4481 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3354(a,1),4451(a,1,1))]. 4482 (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). [hyper(66,a,278,a(flip),b,4474,a),flip(a)]. 4483 R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. [para(4478(a,1),475(a,1))]. 4484 R(K(x,y) \ y,K(z,y),u) = K(x,y) \ y. [para(3842(a,1),4423(a,1,1))]. 4485 (x * y) / (K(z,x) * y) = K(z,x) \ x. [hyper(66,a,3380,a(flip),b,4484,a)]. 4487 (K(x,y) \ y) * (K(x,y) * z) = y * z. [hyper(136,a,4485,a)]. 4488 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(285,a,4482,a(flip),b,4469,a),flip(a)]. 4489 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(4488(a,1),2320(a,1,2,2))]. 4490 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(66,a,4185,a(flip),b,4394,a),flip(a)]. 4491 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(285,a,1443,a(flip),b,4490,a),flip(a)]. 4492 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(37,a,4266,a,b,4491,a)]. 4493 T(x,y) / T(y,y \ x) = y \ T(x,y). [para(4492(a,1),249(a,1,2))]. 4494 T(x,T(x,y) \ y) = T(x,x \ y). [para(4121(a,2),4492(a,1,2))]. 4495 T(x * y,x) / T(x,y) = x \ T(x * y,x). [para(14(a,1),4493(a,1,2,2))]. 4496 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,x \ (x * y),x). [hyper(285,a,4331,a(flip),b,3970,a),flip(a)]. 4497 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4375(a,1),4055(a,1,1))]. 4498 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(4059,a,4497,a),flip(a)]. 4499 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(4023,a,4497,a),flip(a)]. 4504 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(66,a,4365,a(flip),b,4498,a),flip(a)]. 4505 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(66,a,4262,a(flip),b,4498,a)]. 4509 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(122,a,15,a(flip),b,4499,a)]. 4510 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(66,a,4108,a,b,4499,a)]. 4511 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(122,a,4499,a(flip),b,4048,a),flip(a)]. 4512 T(x,T(y,x)) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),3954(a,1,2)),flip(a)]. 4513 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4499(a,1),4107(a,1,2)),flip(a)]. 4515 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [hyper(124,a,4510,a(flip),b,4292,a)]. 4516 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [para(4513(a,1),4151(a,1,2))]. 4517 x \ T(x * y,z) = z * (T(z,y / (x \ 1)) \ y). [hyper(66,a,838,a(flip),b,4505,a)]. 4518 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(66,a,3984,a(flip),b,4511,a),flip(a)]. 4519 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(15(a,1),4515(a,1,1,1)),flip(a)]. 4520 a((x * y) / x,x,z) = (y * (T(x,y) * z)) \ ((x * y) * z). [para(4515(a,1),95(a,1,1)),flip(a)]. 4521 L(x,T(y,z),T(z,y)) = L(x,y,z). [hyper(447,a,4516,a),flip(a)]. 4522 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(66,a,4152,a(flip),b,4521,a)]. 4523 L(x,y \ z,T(y,z / y)) = L(x,z / y,y). [para(118(a,1),4521(a,1,2))]. 4524 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(691,a,4518,a),flip(a)]. 4525 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [para(13(a,1),4522(a,1,2)),flip(a)]. 4526 (x * (y / x)) \ (T(x,y / x) * z) = L((x \ y) \ z,y / x,x). [para(118(a,1),4522(a,2,1,1))]. 4527 a((x * y) / x,x,z) = a(y,T(x,y),z). [hyper(285,a,212,a(flip),b,4520,a),flip(a)]. 4528 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4513(a,1),4150(a,1,1))]. 4529 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(647,a,4528,a),flip(a)]. 4530 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4528(a,1),647(a,1))]. 4531 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(285,a,473,a(flip),b,4371,a),flip(a)]. 4532 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1168(a,1),4531(a,1,1))]. 4533 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = x. [hyper(122,a,4255,a(flip),b,4532,a(flip))]. 4534 x \ ((K(y,x) \ x) * z) = (K(y,x) \ 1) * z. [para(4433(a,1),4438(a,1,1))]. 4535 x * ((K(y,x) \ 1) * z) = (K(y,x) \ x) * z. [hyper(138,a,4534,a)]. 4536 (K(x,y) \ 1) * (K(x,y) * z) = z. [hyper(37,a,4487,a(flip),b,4535,a),flip(a)]. 4538 L(x,K(y,z) \ 1,K(y,z)) = x. [hyper(2190,a,4536,a)]. 4540 (K(x,y) \ 1) \ z = K(x,y) * z. [hyper(128,a,4536,a)]. 4542 (K(x,y) \ 1) * (z * K(x,y)) = T(z,K(x,y)). [para(116(a,1),4536(a,1,2))]. 4543 L(x,K(y,z),K(T(z,y),y)) = x. [para(4444(a,1),4538(a,1,2))]. 4544 K(T(x,y),y) * z = K(y,x) \ z. [para(4444(a,1),4540(a,1,1)),flip(a)]. 4545 x / (x * K(y,x)) = K(y,x) \ 1. [hyper(123,a,3185,a(flip),b,4542,a)]. 4546 ((T(x,y) * y) / x) \ ((x * (x * y)) / x) = L(x,y,x). [para(14(a,1),4496(a,2,2))]. 4547 L(x,y,T(x,y)) = L(x,y,x). [hyper(66,a,4214,a(flip),b,4546,a)]. 4548 (x * (y / x)) \ (T(x,x \ y) * z) = L((x \ y) \ z,y / x,x). [para(4123(a,1),4526(a,1,2,1))]. 4549 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(285,a,4245,a(flip),b,4057,a),flip(a)]. 4551 T(x,x \ T(x * y,y)) = T(x,y). [para(4549(a,1),3995(a,1,2)),flip(a)]. 4552 K(x,x \ T(x * y,y)) = K(x,y). [para(4549(a,1),4196(a,1,2)),flip(a)]. 4553 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4551(a,1),4207(a,1,1))]. 4554 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(66,a,4046,a,b,4552,a),flip(a)]. 4555 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(27(a,1),4553(a,1,1))]. 4556 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4250(a,1),4554(a,2,1))]. 4557 K(x \ T(x * y,x),x) = K(y,x). [hyper(285,a,1448,a(flip),b,4556,a)]. 4558 K(x \ T(y,x),x) = K(x \ y,x). [para(15(a,1),4557(a,1,1,2,1))]. 4559 K(x \ ((x * y) / x),x) = K(x \ y,x). [para(208(a,1),4558(a,1,1,2)),flip(a)]. 4560 K(((x * y) / x) \ x,y) = K(y \ x,y). [para(4199(a,2),4559(a,1,1))]. 4561 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(4560(a,1),4056(a,1,2)),flip(a)]. 4562 T(x,(y \ x) * y) = x. [hyper(38,a,3985,a,b,4561,a(flip))]. 4563 T((x \ y) * x,y) = (x \ y) * x. [hyper(57,a,4562,a)]. 4564 T(x,y * (x / y)) = x. [para(90(a,1),4562(a,1,2,1))]. 4565 T(x * (y / x),y) = x * (y / x). [para(91(a,1),4562(a,1,2))]. 4566 T(T(x,y),z * (x / z)) = T(x,y). [para(4564(a,1),28(a,1,1)),flip(a)]. 4567 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4565(a,2),4382(a,1,1))]. 4568 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3857(a,1),4567(a,1,1,1)),flip(a)]. 4570 K(x \ 1,x) * T(y,x) = x * (T((x \ 1) \ 1,y) \ y). [para(3029(a,1),4136(a,1,2))]. 4571 T(x * K(y \ 1,y),y) = y * (T((y \ 1) \ 1,x) \ x). [hyper(66,a,2430,a,b,4570,a)]. 4572 ((T((x \ 1) \ 1,y) \ x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(4571(a,2),1490(a,2,2,1,2))]. 4573 T(1 / (1 / x),x \ y) \ y = T((1 / (1 / x)) \ y,x). [hyper(66,a,3027,a(flip),b,4208,a),flip(a)]. 4574 T((1 / (1 / (x / y))) \ x,x / y) = T(1 / (1 / (x / y)),y) \ x. [para(90(a,1),4573(a,1,1,2)),flip(a)]. 4575 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4110(a,1),4264(a,1,1,2))]. 4576 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(116(a,1),4575(a,1,1))]. 4577 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(285,a,4494,a(flip),b,4576,a),flip(a)]. 4578 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3388(a,1),4391(a,1,1)),flip(a)]. 4579 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4393(a,1),4568(a,1,2)),flip(a)]. 4580 ((x \ y) * x) / y = y / (x * (y / x)). [para(4563(a,1),4579(a,1,1))]. 4581 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(285,a,4261,a(flip),b,4580,a),flip(a)]. 4582 T((1 / (1 / (x / y))) \ x,x / y) = (1 / (1 / (y \ x))) \ x. [para(2387(a,1),4574(a,2,1))]. 4583 T(x * (1 / (1 / (x \ y))),x / y) = (1 / (1 / (y \ x))) \ x. [para(3610(a,1),4582(a,1,1))]. 4584 a((1 / (1 / (x \ y))) \ y,T(y / x,y * (1 / (1 / (y \ x)))),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4583(a,1),4529(a,1,1))]. 4585 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(66,a,4509,a(flip),b,4096,a)]. 4586 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(66,a,4533,a(flip),b,4351,a),flip(a)]. 4588 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(4409(a,1),4416(a,1,2))]. 4589 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(66,a,4389,a(flip),b,4585,a)]. 4590 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4510(a,1),4589(a,1,2)),flip(a)]. 4592 L(x,T(y \ 1,z),y) != u | L(x,y \ 1,y) = u. [para(4590(a,2),556(a,1))]. 4594 (x * T(T(x,x \ y) * (x \ y),z)) / y = (x / y) * T(x * (y / x),z). [para(993(a,1),4086(a,1,1,2,1))]. 4595 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(552,a,4489,a),flip(a)]. 4596 K(x,(y \ 1) \ 1) = K(x,y). [hyper(285,a,617,a(flip),b,4595,a)]. 4597 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(4595(a,2),618(a,1))]. 4598 K(x,1 / y) = K(x,y \ 1). [para(90(a,1),4596(a,1,2,1)),flip(a)]. 4599 K(x,1 / (1 / y)) = K(x,y). [para(184(a,1),4596(a,1,2)),flip(a)]. 4600 K(x,T(y / z,z / y)) = K(x,y / z). [para(1959(a,2),4596(a,1,2))]. 4601 K(x,T((y \ 1) \ 1,z)) = K(x,T(y,z)). [para(2379(a,2),4596(a,1,2))]. 4604 K(x,T(y / z,y \ z)) = K(x,y / z). [para(3429(a,2),4596(a,1,2))]. 4609 (x * ((1 / (1 / x)) * y)) \ ((x * y) * (1 / (1 / x))) = K(x * y,x). [hyper(66,a,1314,a,b,4599,a)]. 4610 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3612(a,1),4599(a,1,2))]. 4611 K(x,T(T(y,z),y \ 1)) = K(x,T(y,z)). [para(282(a,2),4601(a,1,2))]. 4612 K(x,T(L(1 / y,z,u) \ 1,w)) = K(x,T(L(y \ 1,z,u) \ 1,w)). [para(2604(a,1),4601(a,1,2,1,1)),flip(a)]. 4613 K(x,T(((1 / y) * z) \ z,u)) = K(x,T(((y \ 1) * z) \ z,u)). [para(3423(a,1),4601(a,1,2,1)),flip(a)]. 4614 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(66,a,3072,a,b,4610,a)]. 4615 K(x,T(((y \ 1) * z) \ z,(1 / y) * z)) = K(x,T((1 / y) * z,y) \ z). [para(4320(a,1),4613(a,1,2)),flip(a)]. 4616 (x * (y * (1 / (1 / x)))) \ ((x * T(y,1 / (1 / x))) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4609(a,1,1,2))]. 4617 (x * T(x * (y / x),z)) / y = (x / y) * T(x * (y / x),z). [para(3968(a,1),4594(a,1,1,2,1))]. 4618 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(90(a,1),4373(a,2,1,2))]. 4619 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(66,a,1088,a(flip),b,4256,a),flip(a)]. 4620 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2415(a,1),4619(a,1,1)),flip(a)]. 4621 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(123,a,4620,a(flip),b,1088,a)]. 4623 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(4427(a,1),4465(a,1,2))]. 4624 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(66,a,4588,a(flip),b,4623,a),flip(a)]. 4625 T(x,R(x * K(y,x),z,u)) = x. [hyper(295,a,4348,a),flip(a)]. 4627 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(3860(a,1),4614(a,1,2)),flip(a)]. 4628 (R(x,y,z) * (u * x)) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). [para(1154(a,1),4333(a,1,1))]. 4629 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1174(a,1),4628(a,1,2))]. 4630 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(647,a,4629,a),flip(a)]. 4631 a(T(x,T(y,x)),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4529,a,b,4630,a)]. 4632 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4105(a,1),4631(a,1,1))]. 4633 (x * (y * (1 / (1 / x)))) \ ((x * T(y,x)) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(3027(a,1),4616(a,1,2,1,2))]. 4634 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,1 / (1 / x)),x). [para(116(a,1),4633(a,1,2,1))]. 4635 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(x * T(y,x),x). [para(3027(a,1),4634(a,2,1,2))]. 4636 (x * (y * (1 / (1 / x)))) \ ((y * x) * (1 / (1 / x))) = K(y * x,x). [para(116(a,1),4635(a,2,1))]. 4637 K(x * L(y,y \ 1,y),y) = K(x * y,y). [hyper(66,a,2210,a(flip),b,4636,a)]. 4638 K(x * (1 / (1 / y)),y) = K(x * y,y). [para(1880(a,1),4637(a,1,1,2))]. 4639 K(x * (1 / y),y \ 1) = K(x * (y \ 1),y \ 1). [para(87(a,1),4638(a,1,1,2,2))]. 4640 K((1 / (1 / x)) * (x \ y),x) = K((y / x) * x,x). [para(3025(a,2),4638(a,1,1))]. 4641 K((1 / (1 / x)) * (x \ y),x) = K(y,x). [para(17(a,1),4640(a,2,1))]. 4642 K(K(x \ 1,x) * y,x) = K(y,x). [para(3008(a,1),4641(a,1,1))]. 4643 K(K(x,x \ 1) * y,x \ 1) = K(y,x \ 1). [para(2621(a,1),4642(a,1,1,1))]. 4644 K(K(x,x \ 1) * y,x) = K(y,x). [para(2847(a,1),4642(a,1,1)),flip(a)]. 4645 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [para(2915(a,1),4642(a,1,1))]. 4646 K(T(K(x,x \ 1) * y,x),x) = K(T(y,x),x). [para(2249(a,2),4644(a,1,1))]. 4647 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(3001(a,1),4645(a,1,1))]. 4648 K((1 / (1 / x)) * y,x \ 1) = K(x * y,x \ 1). [para(2974(a,1),4643(a,1,1)),flip(a)]. 4649 K(T((1 / x) * y,x),x) = K(T((x \ 1) * y,x),x). [para(2947(a,1),4646(a,1,1,1))]. 4650 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(66,a,920,a,b,4647,a)]. 4651 K((1 / (1 / x)) * y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4598,a,b,4648,a)]. 4652 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(66,a,4627,a,b,4650,a),flip(a)]. 4653 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(285,a,4343,a(flip),b,4652,a),flip(a)]. 4654 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(285,a,4596,a(flip),b,4653,a),flip(a)]. 4655 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(66,a,4647,a,b,4654,a)]. 4656 K((x \ 1) * y,x) = K(x \ y,x). [para(14(a,1),4654(a,1,1,2)),flip(a)]. 4657 K((1 / x) * y,x) = K(x \ y,x). [para(14(a,1),4655(a,1,1,2)),flip(a)]. 4658 K((1 / x) \ y,1 / x) = K(x * y,x \ 1). [hyper(66,a,4651,a(flip),b,4657,a),flip(a)]. 4659 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(27(a,2),4657(a,2,1))]. 4660 K((x \ 1) \ y,x \ 1) = K(x * y,x \ 1). [para(87(a,1),4657(a,1,1,1)),flip(a)]. 4661 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(890(a,1),4659(a,1,1))]. 4662 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(66,a,4649,a(flip),b,4661,a)]. 4663 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(4662(a,1),4444(a,1,1))]. 4664 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(4455,a,4663,a),flip(a)]. 4665 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [hyper(66,a,3122,a(flip),b,4664,a),flip(a)]. 4666 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(2933(a,2),4664(a,1,2,1)),flip(a)]. 4667 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3342(a,1),3416(a,1,2)),flip(a)]. 4668 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = K(y,x) \ x. [hyper(285,a,3379,a(flip),b,4667,a),flip(a)]. 4670 (((x * y) \ x) * T(((x * y) \ x) \ 1,x)) / x = 1 / (K(y,x) \ x). [para(4668(a,1),3438(a,1,2)),flip(a)]. 4671 1 / (K(x,y) \ y) = K(x,y) / y. [para(1266(a,2),4670(a,1,1)),flip(a)]. 4672 (K(x,y) / y) \ 1 = K(x,y) \ y. [hyper(180,a,4671,a)]. 4673 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x,x \ 1) \ 1) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),3049(a,1,1))]. 4674 T(x \ 1,x) \ R(y,T(x,x \ 1),T(x \ 1,x)) = T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1). [para(1927(a,1),4673(a,1,2,3))]. 4675 T(((x \ 1) \ 1) * T(y,x),T(x,x \ 1) \ 1) = T(x \ 1,x) \ R(y,x,x \ 1). [para(2754(a,1),4674(a,1,2)),flip(a)]. 4676 T(x * T(y,y \ 1),T(y,y \ 1) \ 1) = T(y \ 1,y) \ R(x,y,y \ 1). [para(3045(a,1),4675(a,1,1))]. 4677 T(x * T(y,y \ 1),T(y \ 1,y)) = T(y \ 1,y) \ R(x,y,y \ 1). [para(1927(a,1),4676(a,1,2))]. 4678 T(x \ 1,x) \ R(T(x,y) \ 1,x,x \ 1) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [para(2437(a,1),4676(a,1,1)),flip(a)]. 4679 T(x \ 1,x) \ R(y,x,x \ 1) = T(y * T(x,x \ 1),x \ 1). [hyper(66,a,3035,a(flip),b,4677,a),flip(a)]. 4680 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,1 / x,x). [hyper(285,a,3099,a(flip),b,4679,a),flip(a)]. 4681 T(x \ 1,x) \ R(y,x,x \ 1) = R((x \ 1) \ y,x \ 1,x). [hyper(285,a,2712,a(flip),b,4680,a),flip(a)]. 4682 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x,x \ 1) \ 1). [hyper(66,a,4681,a(flip),b,4678,a)]. 4683 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,T(x \ 1,x)). [para(1927(a,1),4682(a,2,2))]. 4684 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(T(x,y) \ x,x \ 1). [hyper(285,a,3035,a(flip),b,4683,a),flip(a)]. 4685 R((x \ 1) \ (T(x,y) \ 1),x \ 1,x) = T(x,y) \ x. [hyper(285,a,3375,a(flip),b,4684,a),flip(a)]. 4686 R(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [para(3252(a,1),4685(a,1,1))]. 4687 L(T(x,y) \ x,x \ 1,x) = T(x,y) \ x. [hyper(66,a,3506,a(flip),b,4686,a)]. 4688 L(T(x,y) \ x,T(x,y),y) = L((x * y) \ (y * x),x \ 1,x). [para(4687(a,1),835(a,1,1))]. 4689 L((x * y) \ (y * x),x \ 1,x) = (x * y) \ (y * x). [hyper(66,a,457,a(flip),b,4688,a),flip(a)]. 4690 K(x,y) = L((y * x) \ (x * y),y \ 1,y). [hyper(285,a,21,a,b,4689,a)]. 4691 L(K(x,y),y \ 1,y) = K(x,y). [para(21(a,2),4690(a,2,1)),flip(a)]. 4692 (1 / x) * K(y,x) = K(y,x) / x. [para(4691(a,1),3499(a,1,1)),flip(a)]. 4693 K(x,y) \ (K(x,y) / y) = 1 / y. [hyper(122,a,4692,a(flip),b,2085,a)]. 4695 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(90(a,1),3115(a,1,1,3))]. 4696 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2712(a,1),4695(a,1,1))]. 4697 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3760(a,1),4696(a,1,1)),flip(a)]. 4698 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(12(a,1),4697(a,2,1,1,2))]. 4699 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(90(a,1),4698(a,2,2))]. 4700 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(3926(a,1),4699(a,1,1))]. 4701 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4700(a,1),46(a,1))]. 4702 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4165(a,1),4087(a,1,1,2)),flip(a)]. 4703 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(285,a,2775,a(flip),b,4702,a),flip(a)]. 4704 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4082(a,1),4703(a,1,3))]. 4705 T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(90(a,1),4089(a,1,1,2))]. 4706 L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). [para(30(a,2),4705(a,1,1))]. 4707 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4706(a,1,1))]. 4708 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(90(a,1),4707(a,1,2,2,2))]. 4709 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(30(a,2),4708(a,1,2,2))]. 4710 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2963(a,1),4709(a,1,2,2))]. 4711 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(14(a,1),4710(a,1,2))]. 4713 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ T(1,y)) \ 1) / T(y,1). [para(188(a,1),4175(a,2,1,2,2))]. 4714 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,(y \ 1) \ 1) / T(y,1). [para(188(a,1),4713(a,2,1,3,1,2))]. 4717 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / T(y,1). [para(2969(a,1),4714(a,2,1))]. 4718 L(x / ((y \ T(1,y)) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(186(a,1),4717(a,2,2))]. 4719 L(x / ((y \ 1) \ 1),(y \ T(1,y)) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4718(a,1,1,2,1,2))]. 4720 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ T(1,y)) = L(x,y \ 1,y) / y. [para(188(a,1),4719(a,1,2,1,2))]. 4722 L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) = L(x,y \ 1,y) / y. [para(188(a,1),4720(a,1,3,2))]. 4725 K(x \ (x / (y \ 1)),x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3285(a,2),3302(a,2,2,2))]. 4726 (T(x,T(y,x)) \ x) \ (L(z,y,K(x \ (x / (y \ 1)),x)) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4725(a,1,1))]. 4727 (T(x,T(y,x)) \ x) \ (L(z,y,T(x,T(y,x)) \ x) * T(y,x)) = y * T(z,T(y,x)). [para(3791(a,1),4726(a,1,2,1,3))]. 4728 (T(x,T(y,x)) \ x) \ (z * T(y,x)) = y * T(z,T(y,x)). [para(3962(a,1),4727(a,1,2,1))]. 4729 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * ((x * y) \ (x * (y * z))))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),1259(a,1,2,2,1,1))]. 4730 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),(x * y) \ (x * (y * z))). [para(23(a,2),4729(a,1,2,2,2))]. 4731 (x * (y * z)) \ ((x * y) * ((L(z,y,x) \ z) * L(z,y,x))) = T(a(x,y,z),L(z,y,x)). [para(23(a,2),4730(a,2,2))]. 4732 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(17(a,1),2462(a,1,2,1))]. 4733 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(85(a,1),4732(a,1,2))]. 4735 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(311,a,4733,a),flip(a)]. 4738 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2556(a,1),4735(a,1,1))]. 4739 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(597(a,1),3501(a,1,1)),flip(a)]. 4740 (x * (y \ x)) / (x / y) = (x / y) * (x / (x / y)). [para(597(a,1),4265(a,1,1,2))]. 4741 (x / y) * (x / (x / y)) = (y \ x) * y. [hyper(66,a,4276,a(flip),b,4740,a),flip(a)]. 4742 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(90(a,1),4739(a,1,2,1,1,1))]. 4743 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(37,a,2942,a,b,4742,a)]. 4744 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(123,a,3483,a(flip),b,4742,a(flip))]. 4745 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [hyper(124,a,4743,a(flip),b,2920,a)]. 4746 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4578(a,1),4744(a,1,2))]. 4747 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4746(a,1),288(a,1,1)),flip(a)]. 4748 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(4745(a,1),3396(a,1,2))]. 4749 L(x,T(y \ 1,z),(y \ 1) \ 1) = L(x,T(1 / y,z),y). [hyper(447,a,4748,a),flip(a)]. 4751 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(66,a,3668,a(flip),b,4749,a),flip(a)]. 4752 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(66,a,105,a(flip),b,4751,a),flip(a)]. 4753 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(4592,a,4752,a)]. 4755 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4753(a,1),3556(a,2,2))]. 4756 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(285,a,4747,a(flip),b,4755,a),flip(a)]. 4758 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(66,a,3884,a(flip),b,4756,a)]. 4759 T((x \ 1) * (x * y),z) = (x \ 1) * (x * T(y,z)). [para(209(a,1),4756(a,1,1,2,2))]. 4760 T((x \ 1) * (x * y),z) != (x \ 1) * u | x * T(y,z) = u. [para(4759(a,2),46(a,1))]. 4762 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(285,a,152,a(flip),b,4758,a),flip(a)]. 4764 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4762(a,1),2988(a,1,2))]. 4765 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4764(a,1),3907(a,1,2)),flip(a)]. 4767 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(285,a,2841,a(flip),b,4765,a),flip(a)]. 4771 R(x,K(y \ 1,y),z) = x. [para(15(a,1),4767(a,1,3))]. 4775 R(x,y,K(z \ 1,z)) = x. [hyper(66,a,3878,a(flip),b,4771,a)]. 4776 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4771(a,1),112(a,1,1)),flip(a)]. 4782 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(66,a,3706,a(flip),b,4775,a)]. 4783 R(x,y,K(z \ 1,z)) != u | u = x. [para(4775(a,1),54(a,1)),flip(a)]. 4784 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4775(a,1),112(a,1,1)),flip(a)]. 4785 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(4775(a,1),462(a,1,1))]. 4787 (x * y) * z != x * (y * K(u \ 1,u)) | K(u \ 1,u) = z. [para(4775(a,1),474(a,1,1)),flip(a),flip(b)]. 4788 (x * y) \ ((x * (y * z)) * K(u \ 1,u)) = L(z,y,x) * K(u \ 1,u). [para(4775(a,1),498(a,1,1))]. 4789 R(x,y,K(z,z \ 1)) = x. [para(1904(a,1),4775(a,1,3))]. 4790 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [para(4775(a,1),2428(a,1,1))]. 4791 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3531,a,4789,a)]. 4795 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(66,a,3696,a(flip),b,4789,a),flip(a)]. 4796 R(x,y,K(z,z \ 1)) != u | x = u. [para(4789(a,1),54(a,2))]. 4797 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4789(a,1),112(a,1,1)),flip(a)]. 4799 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4789(a,1),2421(a,1,1))]. 4802 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(87(a,1),4791(a,1,3)),flip(a)]. 4803 R(x,y,1 / (1 / z)) = R(x,y,z). [para(90(a,1),4791(a,2,3))]. 4806 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2255(a,1),4795(a,1,2))]. 4807 T(x,K(y,y \ 1) * z) = T(x,z). [para(2398(a,2),4795(a,1,2))]. 4808 T(x,y * (1 / (1 / (y \ z)))) = T(x,z). [para(2617(a,1),4795(a,1,2))]. 4809 T(x,K(y \ 1,y) * z) = T(x,z). [para(2839(a,1),4795(a,1,2)),flip(a)]. 4810 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [para(2849(a,1),4795(a,1,2)),flip(a)]. 4811 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2887(a,1),4795(a,1,2))]. 4813 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2950(a,1),4795(a,1,2))]. 4814 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2977(a,1),4795(a,1,2)),flip(a)]. 4815 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(3312(a,1),4795(a,1,2))]. 4816 T(x,((1 / y) * z) * u) = T(x,((y \ 1) * z) * u). [para(3704(a,1),4795(a,1,2))]. 4818 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4802(a,1),112(a,1,1))]. 4820 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(2909(a,1),4807(a,1,2)),flip(a)]. 4821 T(x,(1 / (1 / y)) * z) = T(x,y * z). [para(2974(a,1),4807(a,1,2)),flip(a)]. 4822 T(K(x,x \ 1) * y,T(z,y)) = T(K(x,x \ 1) * y,z). [para(4807(a,1),4105(a,1,2))]. 4825 a((1 / (1 / (x \ y))) \ y,T(y / x,x),z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(4808(a,1),4584(a,1,2))]. 4826 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4810(a,1),4504(a,1,2,1))]. 4827 T(((x \ 1) * y) \ y,(1 / x) * y) = T((x \ 1) * y,x) \ y. [hyper(285,a,4317,a(flip),b,4813,a),flip(a)]. 4828 T(((1 / x) * y) \ y,(x \ 1) * y) = T((1 / x) * y,x) \ y. [hyper(66,a,4320,a(flip),b,4813,a),flip(a)]. 4829 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3224(a,1),4813(a,2,2))]. 4830 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(66,a,640,a(flip),b,4820,a),flip(a)]. 4831 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2933(a,2),4820(a,1,2,1))]. 4832 x / T(1 / y,y * x) = (1 / y) \ x. [para(4821(a,1),4219(a,1,2))]. 4833 K((x \ 1) * y,x \ y) = 1. [hyper(58,a,4830,a)]. 4834 T(1 / x,x * y) = ((1 / x) \ y) \ y. [hyper(180,a,4832,a),flip(a)]. 4835 R(((1 / x) \ y) \ y,x,y) = (x * y) \ y. [para(4834(a,1),686(a,1,1))]. 4836 R(((1 / x) \ y) \ y,x,y) != z \ y | x * y = z. [para(4835(a,2),51(a,1))]. 4837 R((x * ((1 / y) * (y / x))) \ x,(1 / y) * (y / x),x) = (((1 / y) * (y / x)) * x) \ x. [para(2782(a,1),4835(a,1,1,1))]. 4839 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(66,a,3657,a(flip),b,4776,a)]. 4840 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(3737,a,4782,a),flip(a)]. 4842 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2409(a,2),4782(a,1,2))]. 4843 K(x,x \ 1) * (y * (z * K(x \ 1,x))) = y * z. [hyper(2863,a,4784,a)]. 4844 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2416,a,4784,a)]. 4846 K(x \ 1,x) * y != z * (u * K(x \ 1,x)) | z * u = y. [para(4784(a,1),2411(a,2)),flip(b)]. 4847 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4784(a,1),3657(a,1,1))]. 4848 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4784(a,1),3699(a,1,1))]. 4849 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4784(a,1),4782(a,1,2))]. 4850 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1103(a,1),4785(a,1,2)),flip(a)]. 4851 K(x,x \ 1) * (y \ (x \ 1)) = y \ (1 / x). [hyper(2863,a,4850,a)]. 4852 K(x \ 1,x) * (y \ (1 / x)) = y \ (x \ 1). [hyper(2416,a,4850,a)]. 4853 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3729(a,1),4850(a,1,2))]. 4854 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4851(a,1),4807(a,1,2))]. 4855 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [hyper(124,a,4854,a(flip),b,27,a(flip))]. 4856 T(x,x \ (y \ 1)) * (x \ (1 / y)) = x * ((1 / y) / x). [para(4854(a,1),3968(a,1,1))]. 4858 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(285,a,2409,a,b,4790,a),flip(a)]. 4859 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(66,a,3698,a,b,4790,a)]. 4861 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(445,a,4797,a)]. 4864 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = K(x,x \ 1). [hyper(66,a,3127,a,b,4861,a)]. 4867 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(285,a,2398,a,b,4799,a),flip(a)]. 4869 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2862,a,4839,a)]. 4870 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(380,a,4839,a),flip(a)]. 4874 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4839(a,1),4790(a,1,2))]. 4875 K(x \ 1,x) * ((y \ 1) * z) = (y \ K(x \ 1,x)) * z. [para(4870(a,1),3646(a,1,1)),flip(a)]. 4876 L(x,y,z \ K(u \ 1,u)) = L(x,y,z \ 1). [para(4870(a,1),3911(a,1,3))]. 4877 K(x \ 1,x) * (y * (z \ 1)) = y * (z \ K(x \ 1,x)). [para(4870(a,1),4839(a,2,2))]. 4878 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2646(a,1),4843(a,1,2,2))]. 4879 K(x,x \ 1) * (y * (z / ((x \ 1) \ 1))) = y * (z / x). [para(2685(a,1),4843(a,1,2,2))]. 4880 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2854(a,1),4843(a,1,2,2))]. 4881 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2941(a,1),4843(a,1,2,2))]. 4882 (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4844(a,1),456(a,1,1))]. 4883 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [hyper(66,a,3698,a,b,4858,a)]. 4884 K(x \ 1,x) * (((x \ 1) * y) \ z) = ((1 / x) * y) \ z. [hyper(66,a,3716,a(flip),b,4858,a),flip(a)]. 4885 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4858(a,2),2412(a,1))]. 4886 K(x \ 1,x) * (y \ (z / (x \ 1))) = y \ (z / (1 / x)). [para(2654(a,1),4858(a,1,2)),flip(a)]. 4887 ((x / (1 / y)) \ z) * K(y \ 1,y) = (x / (y \ 1)) \ z. [para(2861(a,1),4859(a,1,1)),flip(a)]. 4888 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2975(a,1),4859(a,1,1)),flip(a)]. 4889 ((1 / x) \ y) * K(z \ 1,z) = (K(z,z \ 1) / x) \ y. [para(3639(a,1),4859(a,1,1)),flip(a)]. 4890 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [para(2398(a,1),4867(a,1,2))]. 4891 (x * K(y,y \ 1)) * z = x * (K(y,y \ 1) * z). [hyper(66,a,3634,a,b,4880,a)]. 4893 K(x \ 1,x) * ((y * x) \ z) = (y * ((x \ 1) \ 1)) \ z. [para(2830(a,1),4883(a,1,1)),flip(a)]. 4894 K(x \ 1,x) * ((x * y) \ z) = (((x \ 1) \ 1) * y) \ z. [para(2888(a,1),4883(a,1,1)),flip(a)]. 4895 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3754(a,1),4883(a,1,1)),flip(a)]. 4896 (x * y) \ ((x * (y * z)) * K(u,u \ 1)) = K(u,u \ 1) * L(z,y,x). [para(23(a,2),4890(a,2,2))]. 4897 L(x,K(y,y \ 1),z) = x. [hyper(445,a,4891,a)]. 4899 a(x,K(y,y \ 1),z) = 1. [hyper(56,a,4897,a)]. 4900 L(x,y * (1 / y),z) = x. [para(1903(a,1),4897(a,1,2))]. 4902 L(x,y * (1 / y),z) != u | u = x. [para(4900(a,1),53(a,1)),flip(a)]. 4903 T(x,y) \ (K(z,z \ 1) * (x * y)) = T(K(z,z \ 1) * y,x). [hyper(66,a,3739,a,b,4822,a)]. 4904 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(66,a,4517,a,b,4826,a)]. 4905 T(x * (y / x),z) = x * (T(y,z) / x). [hyper(124,a,4826,a(flip),b,4517,a),flip(a)]. 4906 (x \ T(x * (y / x),z)) * x = T(y,z). [hyper(136,a,4904,a(flip))]. 4907 T(x * y,z) / y = y \ T(y * x,z). [para(16(a,1),4904(a,1,2,1,2)),flip(a)]. 4908 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(87(a,1),4904(a,1,2,1,2))]. 4911 T(x,y) \ T(x * (y / x),z) = T(y,z) / T(x,y). [para(4338(a,1),4904(a,1,2,1))]. 4912 x * (T(y * x,z) / x) = T(x * y,z). [para(16(a,1),4905(a,1,1,2)),flip(a)]. 4913 (x \ y) * (T(y,z) / (x \ y)) = T((x \ y) * x,z). [para(87(a,1),4905(a,1,1,2)),flip(a)]. 4914 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(118(a,1),4905(a,2,2,1))]. 4918 T(x * (y / x),K(z,y)) = x * (y / x). [para(3185(a,1),4905(a,2,2,1))]. 4919 T(x * (y / x),K(y,z)) = x * (y / x). [para(3348(a,1),4905(a,2,2,1))]. 4920 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(4123(a,1),4905(a,2,2,1))]. 4921 (x * T(x * (y / x),z)) / y = (T(x,x \ T(y,z)) / y) * T(y,z). [para(4905(a,2),4021(a,1,1,2))]. 4922 (x \ T(x * y,z)) * x = T(y * x,z). [para(16(a,1),4906(a,1,1,2,1,2))]. 4923 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(900,a,4907,a)]. 4926 T((x \ y) * x,z) / x = x \ T(y,z). [para(15(a,1),4907(a,2,2,1))]. 4927 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4907(a,1),118(a,1,1))]. 4929 T(x * ((1 / (1 / y)) / x),K(z,y)) = x * ((1 / (1 / y)) / x). [para(4599(a,1),4918(a,1,2))]. 4930 T(K(x,y),z * (x / z)) = K(x,y). [hyper(57,a,4919,a)]. 4932 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(15(a,1),4922(a,1,1,2,1)),flip(a)]. 4935 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4926(a,1),236(a,1,1)),flip(b)]. 4938 K(x,x \ 1) * ((y \ x) * y) = T((y \ x) * y,x \ 1). [hyper(285,a,3898,a,b,4932,a)]. 4940 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [hyper(124,a,4932,a(flip),b,27,a(flip))]. 4941 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4932(a,2),47(a,1))]. 4942 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(118(a,1),4932(a,2,1,2))]. 4943 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4932(a,2),98(a,1,1))]. 4946 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [hyper(124,a,4914,a(flip),b,27,a(flip)),flip(a)]. 4947 x * (y * ((x \ z) / y)) != u | (y * ((z / x) / y)) * x = u. [para(4914(a,1),263(a,1,2))]. 4949 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(66,a,3902,a(flip),b,4940,a),flip(a)]. 4950 T(1 / x,(y \ x) * y) = x \ 1. [hyper(224,a,3902,a(flip),b,4940,a(flip))]. 4952 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(118(a,1),4940(a,1,2,1,2)),flip(a)]. 4953 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(117(a,1),4940(a,1,2,1,2))]. 4954 T(1 / (x * y),y * x) = (x * y) \ 1. [para(14(a,1),4950(a,1,2,1))]. 4955 (1 / (x * y)) * (y * x) = (y * x) * ((x * y) \ 1). [hyper(124,a,4954,a(flip),b,27,a(flip)),flip(a)]. 4957 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(254,a,4942,a)]. 4958 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (1 / x),y)) * x. [para(4942(a,1),921(a,1,2))]. 4959 (x \ K(y,z)) * x != u | T((x \ K(y,z)) * x,T(z,w)) = u. [para(3213(a,1),4935(a,1,1,2))]. 4961 T((x \ y) * x,x) = (x \ y) * ((y * x) / y). [hyper(124,a,1034,a(flip),b,4908,a),flip(a)]. 4962 T(x,y) \ T(T(x,y) * ((z * (x / z)) / T(x,y)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(4566(a,1),4911(a,1,1))]. 4963 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(4913(a,1),304(a,1,2)),flip(b)]. 4964 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(285,a,4905,a,b,4920,a),flip(a)]. 4965 T(x * (y * (1 / x)),z) = x * (T(y,z) * (1 / x)). [hyper(124,a,414,a(flip),b,4923,a(flip)),flip(a)]. 4966 ((1 / x) / y) * T(((1 / x) / y) \ z,u) = (x \ T(x * (z * y),u)) / y. [hyper(123,a,4923,a(flip),b,1351,a),flip(a)]. 4967 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(14(a,1),4946(a,2,2,2,1))]. 4968 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(203(a,2),4946(a,2,2,2,1))]. 4969 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(66,a,4700,a(flip),b,4949,a),flip(a)]. 4970 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(285,a,4581,a(flip),b,4969,a),flip(a)]. 4971 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4970(a,1),3904(a,2,2))]. 4972 x * ((y \ (x \ (y * z))) * y) = y * (x * T(x \ z,y)). [hyper(1693,a,4952,a),flip(a)]. 4973 R((x \ (y / z)) * x,z,z \ 1) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(66,a,464,a,b,4952,a)]. 4974 x * (y * T(y \ (x \ z),y)) = ((y \ (z / x)) * y) * x. [para(116(a,2),4952(a,2,2)),flip(a)]. 4975 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(205(a,2),4952(a,1,1,1,2))]. 4976 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(14(a,1),4957(a,1,1,2,1,2))]. 4977 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(66,a,4304,a,b,4964,a)]. 4978 T((x \ 1) * (y * (1 / (x \ 1))),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4965(a,2,2,2))]. 4980 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(66,a,4194,a(flip),b,4976,a),flip(a)]. 4981 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(3022(a,1),4829(a,1,2))]. 4983 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) = K(y \ 1,y). [hyper(195,a,4875,a)]. 4984 (x \ K(y \ 1,y)) * ((x \ 1) \ 1) != z | K(y \ 1,y) = z. [para(4875(a,1),195(a,1)),flip(b)]. 4985 ((K(x \ 1,x) / y) \ 1) \ 1 = y \ K(x \ 1,x). [hyper(318,a,4983,a),flip(a)]. 4986 (K(x \ 1,x) / y) \ 1 = K(x,x \ 1) * y. [hyper(42,a,3733,a,b,4985,a),flip(a)]. 4987 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ K(z \ 1,z)). [para(4985(a,1),3668(a,1,3)),flip(a)]. 4988 (K(x \ 1,x) / (y * x)) * (y * ((x \ 1) \ 1)) = 1. [hyper(124,a,2830,a(flip),b,4986,a)]. 4989 L(x,(y * ((z \ 1) \ 1)) / x,K(z \ 1,z) / (y * z)) = ((K(z \ 1,z) / (y * z)) * ((y * ((z \ 1) \ 1)) / x)) \ 1. [para(4988(a,1),107(a,2,2))]. 4990 (K(x \ 1,x) / y) * (z \ 1) = (1 / y) * (z \ K(x \ 1,x)). [hyper(66,a,3713,a(flip),b,4877,a)]. 4991 T(x,y * ((1 / z) \ u)) = T(x,y * ((z \ 1) \ u)). [para(4881(a,1),4807(a,1,2)),flip(a)]. 4992 T(x,y * (((z \ 1) \ 1) \ u)) = T(x,y * (z \ u)). [para(87(a,1),4991(a,1,2,2,1)),flip(a)]. 4993 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,K(y \ 1,y) * (z * ((1 / u) \ w))). [para(3646(a,1),4991(a,1,2)),flip(a)]. 4994 a((x / (1 / y)) \ z,u,w) = a((x / (y \ 1)) \ z,u,w). [para(4887(a,1),3933(a,1,1)),flip(a)]. 4995 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2863,a,4888,a)]. 4996 K(x \ 1,x) * (y * ((1 / z) \ u)) = y * ((K(x,x \ 1) / z) \ u). [para(4889(a,1),4844(a,2,2))]. 4997 T(x,y * (((((1 / z) \ 1) * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(4889(a,2),4992(a,1,2,2,1,1))]. 4998 T(x,(y * ((z \ 1) \ 1)) \ u) = T(x,(y * z) \ u). [para(4893(a,1),4809(a,1,2))]. 4999 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(90(a,1),4998(a,1,2,1,2,1)),flip(a)]. 5000 T(x,((y \ 1) * y) \ z) = T(x,z). [para(161(a,1),4998(a,1,2)),flip(a)]. 5001 T((x \ y) * x,y \ 1) != z * ((x \ y) * x) | K(y,y \ 1) = z. [para(4938(a,1),47(a,1))]. 5002 (x * y) * T((x * y) \ z,y) = ((y \ (z / x)) * y) * x. [hyper(66,a,830,a,b,4974,a)]. 5003 L(x,y,K(z \ 1,z) / u) = L(x,y,u \ 1). [hyper(285,a,4876,a(flip),b,4987,a),flip(a)]. 5005 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4818(a,1),47(a,1))]. 5008 K(x,T((1 / y) * z,y) \ z) = K(x,T((y \ 1) * z,y) \ z). [para(4827(a,1),4615(a,1,2)),flip(a)]. 5009 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(123,a,4847,a(flip),b,112,a)]. 5010 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(66,a,3726,a(flip),b,4848,a),flip(a)]. 5011 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(124,a,4849,a,b,2857,a)]. 5012 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(66,a,2941,a(flip),b,4853,a)]. 5013 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(285,a,3139,a(flip),b,5012,a),flip(a)]. 5015 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) != w | a(x,y,z * K(u \ 1,u)) = w. [para(4874(a,1),2450(a,1))]. 5016 (T(x,y) \ (x * y)) * K(z,z \ 1) = T(K(z,z \ 1) * y,x). [hyper(66,a,4799,a(flip),b,4903,a)]. 5017 T((x \ 1) * (y * x),z) = (x \ 1) * (T(y,z) * x). [para(87(a,1),4978(a,1,1,2,2))]. 5019 T((x \ 1) * (y * x),z) != (x \ 1) * u | T(y,z) * x = u. [para(5017(a,2),46(a,1))]. 5020 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2850(a,1),5011(a,1,2,2)),flip(a)]. 5021 x / (y * K(z,z \ 1)) = K(z \ 1,z) * (x / y). [para(2398(a,1),5020(a,1,2))]. 5022 T(K(x,x \ 1) * y,z) = T(y,z) * K(x,x \ 1). [para(4113(a,1),5016(a,1,1)),flip(a)]. 5023 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(285,a,2398,a,b,5022,a),flip(a)]. 5026 T(K(x,x \ 1) * y,z) != K(x,x \ 1) * u | T(y,z) = u. [para(5023(a,2),46(a,1))]. 5028 (T(x,x \ T(y,z)) / y) * T(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,4617,a(flip),b,4921,a),flip(a)]. 5029 (x * y) \ (x * ((y * z) * K(u \ 1,u))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),4788(a,1,2))]. 5030 (x * y) \ (x * ((y * z) * K(u,u \ 1))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),4896(a,1,2))]. 5031 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [para(3759(a,1),4973(a,1,1))]. 5032 (x * y) \ (x * (y * (z * K(u \ 1,u)))) = L(z,y,x) * K(u \ 1,u). [para(4784(a,1),5029(a,1,2,2))]. 5033 (x * y) \ (x * (y * (z * K(u,u \ 1)))) = K(u,u \ 1) * L(z,y,x). [para(4797(a,1),5030(a,1,2,2))]. 5034 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [hyper(447,a,5032,a)]. 5035 L(x * K(y \ 1,y),z,u) = K(y \ 1,y) * L(x,z,u). [hyper(285,a,2409,a,b,5034,a),flip(a)]. 5036 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [para(2409(a,2),5035(a,1,1))]. 5037 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(447,a,5033,a)]. 5038 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(285,a,2398,a(flip),b,5037,a),flip(a)]. 5039 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1963(a,1),5037(a,1,1)),flip(a)]. 5040 (x \ 1) * L(((1 / x) \ y) * K(x,x \ 1),z,u) = L(y * x,z,u) / x. [para(5037(a,2),2982(a,1,2))]. 5041 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(66,a,2101,a(flip),b,5039,a)]. 5042 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(117(a,1),5041(a,2,1))]. 5043 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(128,a,5042,a)]. 5044 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(66,a,1978,a,b,5043,a)]. 5045 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2167,a,5044,a)]. 5046 L(x,y,z) / x = x \ L(x,y,z). [hyper(135,a,5045,a)]. 5047 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(128,a,5045,a)]. 5052 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(5047(a,1),419(a,1,2,1)),flip(a)]. 5053 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1889(a,1),5038(a,1,1)),flip(a)]. 5054 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5038(a,2,2))]. 5055 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(5053(a,1),3681(a,1,1))]. 5056 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(122,a,5052,a(flip),b,996,a)]. 5057 ((1 / x) / y) * T(((1 / x) / y) \ (y \ 1),z) = (x \ T(x * K(y \ 1,y),z)) / y. [para(243(a,2),4966(a,2,1,2,1,2))]. 5058 (x \ 1) * L((x \ 1) \ y,z,u) = L(y * x,z,u) / x. [para(2977(a,1),5040(a,1,2,1))]. 5059 L(x * y,z,u) / y = y \ L(y * x,z,u). [hyper(66,a,947,a(flip),b,5058,a),flip(a)]. 5060 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [hyper(136,a,5059,a)]. 5061 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [para(17(a,1),5059(a,1,1,1)),flip(a)]. 5062 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(15(a,1),5060(a,1,1,2,1)),flip(a)]. 5063 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(138,a,5061,a),flip(a)]. 5064 L(T((x \ y) * x,z),u,w) = T((x \ L(y,u,w)) * x,z). [para(5062(a,1),30(a,2,1))]. 5065 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(452(a,1),5062(a,2,1,2))]. 5066 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(453(a,1),5062(a,2,1,2))]. 5067 L(x * (y / x),y \ 1,y) = x * ((1 / (1 / y)) / x). [para(1880(a,1),5063(a,2,2,1))]. 5068 T(x * ((1 / (1 / y)) / x),K(z,y)) = L(x * (y / x),y \ 1,y). [hyper(285,a,4929,a,b,5067,a)]. 5069 L((x \ ((y \ 1) \ (y \ z))) * x,y \ 1,y) = (x \ z) * x. [para(15(a,1),5065(a,2,1,2))]. 5070 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(66,a,4971,a(flip),b,5066,a),flip(a)]. 5071 x * (y \ (x / (x / y))) = (y \ x) * y. [para(160(a,1),5070(a,1,1,2)),flip(a)]. 5072 x \ (y / (y / x)) = K(x \ y,x). [hyper(37,a,271,a,b,5071,a),flip(a)]. 5073 x / (x / y) = y * K(y \ x,y). [hyper(138,a,5072,a),flip(a)]. 5074 T(x,y) / (T(x,y) / y) = y * K(y \ x,y). [hyper(124,a,4558,a(flip),b,5072,a),flip(a)]. 5075 (x * y) / ((x * y) / x) = x * K(y,x). [hyper(124,a,625,a(flip),b,5072,a),flip(a)]. 5076 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(66,a,4970,a,b,5072,a)]. 5077 ((x \ y) * x) / y = K(x \ y,x). [hyper(66,a,4581,a,b,5072,a)]. 5078 x / (y * (x / y)) = K(y \ x,y). [hyper(66,a,4261,a,b,5072,a)]. 5082 (x / y) * K(y \ x,y) = y \ x. [hyper(124,a,5072,a(flip),b,3800,a)]. 5083 (1 / x) \ K(y \ x,y) = (y \ x) * y. [hyper(122,a,5072,a(flip),b,4970,a)]. 5085 T(K(x \ y,x),y) = K(x \ y,x). [para(5072(a,1),4043(a,1,1))]. 5087 (x * K(x \ y,x)) \ y = y / x. [hyper(180,a,5073,a)]. 5091 (x * y) * K((x * y) \ y,x * y) = y / R(1 / x,x,y). [para(205(a,2),5073(a,1,2)),flip(a)]. 5093 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K((y \ 1) * x,y). [para(404(a,1),5073(a,2,2,1))]. 5096 R(x * K(x \ y,x),z,u) * (y / x) = (y / x) * R(x,z,u). [para(5073(a,1),596(a,1,1,1))]. 5097 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(5073(a,1),4273(a,1,1))]. 5098 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(5073(a,2),4409(a,1,1))]. 5101 K(x \ y,x) * y = (x \ y) * x. [hyper(136,a,5077,a)]. 5102 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(66,a,4700,a,b,5077,a)]. 5104 K(x \ y,x) * ((y \ 1) \ 1) = K(y,y \ 1) * ((x \ y) * x). [para(5077(a,1),2836(a,1,1))]. 5106 K(x \ y,x) * (x * (y / x)) = y. [hyper(136,a,5078,a)]. 5107 K(x \ 1,x) * K(y \ (1 / x),y) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),3676(a,1,2))]. 5108 ((x * (y / x)) \ T((x * (y / x)) * K(x \ y,x),z)) * (x * (y / x)) = T(y,z). [para(5078(a,1),4906(a,1,1,2,1,2))]. 5110 (x / (1 / y)) * K(y * x,y \ 1) = (1 / y) \ x. [para(4658(a,1),5082(a,1,2))]. 5111 ((x \ y) * x) / y = T(K(x \ y,x),y). [hyper(285,a,5077,a,b,5085,a)]. 5113 (x * ((y \ z) * y)) * a(x,K(y \ z,y),z) = (x * K(y \ z,y)) * z. [para(5101(a,1),93(a,1,1,2))]. 5114 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(5101(a,1),2182(a,2,2))]. 5115 K(x \ y,x) * (y / x) = x \ y. [hyper(122,a,5106,a(flip),b,4427,a(flip)),flip(a)]. 5119 K(x,y) = T(y,x) \ y. [hyper(3836,a,5075,a),flip(a)]. 5120 K(x,y) = (x * y) / (y * x). [hyper(285,a,4034,a,b,5119,a),flip(a)]. 5121 K(x,y) = ((y * x) / y) \ x. [hyper(285,a,3779,a,b,5119,a),flip(a)]. 5122 K(x,y) = (y \ 1) \ (T(y,x) \ 1). [hyper(285,a,3252,a,b,5119,a),flip(a)]. 5123 K(x,y) = y / T(y,x). [hyper(285,a,3170,a,b,5119,a),flip(a)]. 5124 K(x,y) = y * (T(y,x) \ 1). [hyper(285,a,1000,a,b,5119,a),flip(a)]. 5125 K(x,y) = x \ T(x,y). [hyper(285,a,4101,a(flip),b,5119,a),flip(a)]. 5126 x * T(x \ 1,y) = K(x \ 1,y). [hyper(285,a,4092,a(flip),b,5119,a)]. 5128 (x \ 1) * K(y,x) = T(x,y) \ 1. [hyper(124,a,5119,a,b,3252,a)]. 5129 x / (x / y) = y * K(x / y,y). [hyper(124,a,5119,a,b,4102,a(flip)),flip(a)]. 5130 T(x,y) = x * K(x,y). [hyper(124,a,5119,a,b,4101,a(flip)),flip(a)]. 5131 T(x,y) * K(y,x) = x. [hyper(124,a,5119,a,b,xx)]. 5132 K(x,y) / y = 1 / T(y,x). [hyper(123,a,5119,a,b,3169,a)]. 5133 (T(x,y) \ 1) \ K(y,x) = T(x,x \ 1). [hyper(122,a,5119,a,b,2437,a)]. 5134 T(x,y) \ 1 = x \ K(y,x). [hyper(122,a,5119,a,b,1000,a),flip(a)]. 5135 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(122,a,5119,a,b,4092,a(flip))]. 5136 T(x,y) = x / K(y,x). [hyper(185,a,5119,a(flip)),flip(a)]. 5137 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(32(a,2),5119(a,2,1)),flip(a)]. 5138 K(x,y) != z \ y | T(y,x) = z. [para(5119(a,2),51(a,1))]. 5142 T(x,y) = K(y,x) \ x. [para(5119(a,2),3168(a,1,1)),flip(a)]. 5143 K(x,y) * T(y,x) = y. [para(5119(a,2),3171(a,1,1))]. 5144 K(x,y) * (y \ 1) = T(y,x) \ 1. [para(5119(a,2),3393(a,1,1))]. 5145 K(x,y) * ((y * x) / y) = x. [para(5119(a,2),3775(a,1,1))]. 5146 K(x,y) * (y * x) = x * y. [para(5119(a,2),4032(a,1,1))]. 5148 K(x,y) = T(y,T(x,y)) \ y. [para(4105(a,2),5119(a,2,1))]. 5149 (x * y) / x = y * K(x,y). [para(5119(a,2),4104(a,2,2))]. 5150 T(x * K(y,x),y) = x. [para(5119(a,2),4198(a,1,1,2))]. 5152 x * (K(x,y) * z) = T(x,y) * z. [para(5119(a,2),4107(a,1,2,1))]. 5153 T(x,y) * (x \ z) = K(x,y) * z. [para(5119(a,2),4108(a,2,1))]. 5154 K(x / y,z) * x = y * T(y \ x,z). [para(5119(a,2),4262(a,1,1))]. 5156 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(5119(a,2),4099(a,1,2)),flip(a)]. 5157 x * (T(x,y) \ z) = K(y,x) * z. [para(5119(a,2),4498(a,1,1)),flip(a)]. 5158 K(x,y) * (T(y,x) * z) = y * z. [para(5119(a,2),4499(a,1,1))]. 5159 T(x,y) / T(T(x,z),y) = K(z,T(x,y)). [para(28(a,1),5123(a,2,2)),flip(a)]. 5160 L(x,y,z) / L(T(x,u),y,z) = K(u,L(x,y,z)). [para(30(a,2),5123(a,2,2)),flip(a)]. 5161 R(x,y,z) / R(T(x,u),y,z) = K(u,R(x,y,z)). [para(32(a,2),5123(a,2,2)),flip(a)]. 5162 K(x,y) \ y != z | T(y,x) = z. [para(5123(a,2),307(a,1,1)),flip(b)]. 5164 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(285,a,3854,a,b,5125,a)]. 5166 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(285,a,3773,a,b,5125,a)]. 5167 K(x,y) = y \ ((x * y) / x). [hyper(285,a,3768,a,b,5125,a),flip(a)]. 5168 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(285,a,3269,a,b,5125,a),flip(a)]. 5169 K(x,y) = T(x,y) / x. [hyper(285,a,3266,a,b,5125,a),flip(a)]. 5170 K(x,y) = T(x,y) * (x \ 1). [hyper(285,a,886,a,b,5125,a),flip(a)]. 5171 x * T(x \ 1,y) = K(1 / x,y). [hyper(285,a,891,a(flip),b,5125,a)]. 5174 T(x,y) \ K(x,y) = x \ 1. [hyper(122,a,5125,a,b,886,a)]. 5177 (1 / x) * K(x \ 1,y) = T(1 / x,y). [hyper(124,a,3339,a(flip),b,5125,a(flip))]. 5178 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(30(a,2),5125(a,2,2)),flip(a)]. 5179 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(32(a,2),5125(a,2,2)),flip(a)]. 5180 x * K(x,y) != z | T(x,y) = z. [para(5125(a,2),240(a,1,2)),flip(b)]. 5185 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(5125(a,2),1141(a,1,1))]. 5186 T(T(x,y) \ 1,K(x,z)) = T(x,y) \ 1. [para(5125(a,2),1422(a,1,2))]. 5187 (x \ 1) / K(x,y) = T(x,y) \ 1. [para(5125(a,2),1804(a,1,2))]. 5188 (x \ (y * z)) \ (((x \ (y * z)) \ 1) \ 1) = K(x \ (y * z),z \ (y \ x)). [para(2771(a,1),5125(a,2,2)),flip(a)]. 5189 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(2788(a,1),5125(a,2,2))]. 5190 T(x,y) = K(x,y) * x. [para(5125(a,2),3267(a,1,1)),flip(a)]. 5191 (x * K(y,x)) * y = y * x. [para(5125(a,2),3765(a,1,1,2))]. 5192 (x * y) / x = K(x,y) * y. [para(5125(a,2),3772(a,1,1)),flip(a)]. 5193 (x \ y) * K(x,x \ y) = y / x. [para(5125(a,2),3767(a,1,2))]. 5196 x * (T(x,y) \ z) = K(x,y) \ z. [para(5125(a,2),3958(a,1,1)),flip(a)]. 5197 K(x,x \ y) * y = x * (y / x). [para(5125(a,2),4013(a,1,1))]. 5200 (x / (x / y)) \ L(y,y \ x,y) = K(x / (x / y),x). [para(4273(a,1),5125(a,2,2)),flip(a)]. 5201 x \ T(x,y / (z * y)) = K(x,z \ 1). [para(4303(a,2),5125(a,2,2)),flip(a)]. 5202 T(x * y,z) / a(x,y,K(x * y,z)) = x * (y * K(x * y,z)). [hyper(123,a,5130,a,b,93,a)]. 5203 (x * y) * K(x * y,T(y,x)) = T(x * y,y). [hyper(66,a,4180,a(flip),b,5130,a),flip(a)]. 5204 (x * y) * K(x * y,y \ (x \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,2773,a(flip),b,5130,a),flip(a)]. 5207 T(x,y) != x * z | K(x,y) = z. [para(5130(a,2),46(a,1))]. 5208 x \ T(x,y) != z | K(x,y) = z. [para(5130(a,2),304(a,1,2)),flip(b)]. 5209 R(x / y,y,K(x,z)) = T(x,z) / (y * K(x,z)). [para(5130(a,2),113(a,2,1))]. 5212 (x * y) \ (x * T(y,z)) != u | L(K(y,z),y,x) = u. [para(5130(a,2),447(a,1,2,2))]. 5213 (x * y) * K(y,z) != u * T(y,z) | R(x,y,K(y,z)) = u. [para(5130(a,2),475(a,2,2))]. 5215 (x \ 1) * L((x \ 1) \ K(x,y),z,u) = x \ L(T(x,y),z,u). [para(5130(a,2),947(a,2,2,1))]. 5216 x * (R(x,y,z) \ K(x,u)) = R(x,y,z) \ T(x,u). [para(5130(a,2),1152(a,1,2)),flip(a)]. 5217 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(5130(a,2),1245(a,1,2)),flip(a)]. 5218 T(x,T((y \ 1) \ 1,z)) = T(x,y * K(y,z)). [para(5130(a,1),3036(a,2,2))]. 5219 K(x,y) * (x * z) = T(x,y) * z. [para(5130(a,2),4071(a,1,1)),flip(a)]. 5220 x * (y * K(x,y)) = T(x,y) * y. [para(5130(a,2),4454(a,1,1)),flip(a)]. 5221 x * K(R(x,y,z),x) = x. [para(168(a,1),5131(a,1,1))]. 5223 T(x,y) \ x != z | K(y,x) = z. [para(5131(a,1),304(a,1,2)),flip(b)]. 5226 L(x,y,(y * x) / y) * K(y * x,(y * x) / y) = (y * x) / y. [para(598(a,1),5131(a,1,1))]. 5227 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T(((T(x,y) * K(y,x)) \ u) \ (K(y,x) \ u),z). [para(5131(a,1),2323(a,1,1,1)),flip(a)]. 5228 T(x,y) * (K(y,x) * z) = x * z. [para(5131(a,1),4419(a,1,1)),flip(a)]. 5230 T(x,y) != x / z | K(y,x) = z. [para(5136(a,2),48(a,1))]. 5231 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(5136(a,2),1414(a,1,1)),flip(a)]. 5232 T(x,y) = (K(y,x) / x) \ 1. [hyper(285,a,4672,a,b,5142,a),flip(a)]. 5233 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(285,a,4260,a,b,5142,a)]. 5234 K(x,y / x) * (x \ y) = y / x. [hyper(124,a,118,a(flip),b,5142,a(flip))]. 5235 x / T(x,y) != z | K(y,x) = z. [para(5142(a,2),297(a,1,2)),flip(b)]. 5236 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(5142(a,2),2315(a,1,2,1))]. 5237 T(x,y) * K(y * x,T(x,y)) = R(x,y,x). [hyper(728,a,5150,a),flip(a)]. 5238 T((x * y) / x,z) = T(y,z) * K(x,T(y,z)). [hyper(426,a,5150,a)]. 5239 (T(x,y) * y) / T(x,y) = y * K(x,y). [hyper(43,a,4114,a,b,5150,a)]. 5240 T(T(x * K(y,x),z),y) = T(x,z). [para(5150(a,1),28(a,1,1)),flip(a)]. 5241 (x * y) / x != z | y * K(x,y) = z. [para(5150(a,1),298(a,1,1,2)),flip(b)]. 5242 T(x * K(y,x),z) * y = y * T(x,z). [para(5150(a,1),221(a,1,2,1)),flip(a)]. 5243 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(5150(a,1),252(a,1,1,2,1)),flip(a)]. 5244 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(5150(a,1),222(a,1,2,1)),flip(a)]. 5245 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(5150(a,1),223(a,1,2,1)),flip(a)]. 5246 T(x * K(y,x),(x * K(y,x)) * y) = L(x,y,x * K(y,x)). [para(5150(a,1),662(a,1,1)),flip(a)]. 5248 T(T(x * K(y,x),z),u) * y = y * T(T(x,z),u). [para(5150(a,1),415(a,1,2,1,1)),flip(a)]. 5249 R(T(x * K(y,x),z),u,w) * y = y * R(T(x,z),u,w). [para(5150(a,1),591(a,1,2,1,1)),flip(a)]. 5250 T(x * K(y,x),R(x * K(y,x),z,u) * y) = L(x,y,R(x * K(y,x),z,u)). [para(5150(a,1),1509(a,1,1)),flip(a)]. 5251 T(K(x,y) * y,x) = y. [para(3186(a,2),5150(a,1,1))]. 5252 T(x \ K(y,x \ 1),y) = x \ 1. [para(3224(a,1),5150(a,1,1))]. 5253 L(x * K(y,x),y,x * K(y,x)) = L(x * K(y,x),y,x). [para(5150(a,1),4547(a,1,3)),flip(a)]. 5254 K(x,y) = (1 / x) * T(x,y). [hyper(285,a,903,a,b,5169,a),flip(a)]. 5255 T(1 / (1 / x),y) = K(x,y) / (1 / x). [hyper(123,a,5169,a,b,898,a),flip(a)]. 5256 T(x,y) = (1 / x) \ K(x,y). [hyper(122,a,5169,a,b,903,a),flip(a)]. 5258 R(T(x,y),z,u) / R(x,z,u) = K(R(x,z,u),y). [para(32(a,2),5169(a,2,1)),flip(a)]. 5259 K(x,y) * x != z | T(x,y) = z. [para(5169(a,2),236(a,1,1)),flip(b)]. 5265 K((x \ y) * x,y \ 1) = K(y,y \ 1). [hyper(5001,a,5190,a),flip(a)]. 5266 K(x,x \ y) * x = T(x,y / x). [hyper(4223,a,5190,a),flip(a)]. 5268 K(x / y,y) * (x / y) = y \ x. [hyper(630,a,5190,a),flip(a)]. 5269 T(x,y) / (y \ x) = y * K(x,y). [hyper(123,a,5190,a,b,4425,a)]. 5271 K(x,y) * (y \ x) = y \ T(x,y). [hyper(122,a,5190,a,b,4428,a),flip(a)]. 5272 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(66,a,30,a,b,5190,a),flip(a)]. 5273 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(66,a,28,a,b,5190,a),flip(a)]. 5274 x * (K(y,x) * y) = y * x. [hyper(124,a,5190,a(flip),b,27,a(flip))]. 5279 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(5190(a,2),216(a,1,1))]. 5280 T(x,y) / L(z,x / z,K(x,y)) = K(x,y) * (x / z). [para(5190(a,2),499(a,1,1))]. 5281 (x * K(y,z)) \ (x * T(y,z)) != u | L(y,K(y,z),x) = u. [para(5190(a,2),447(a,1,2,2))]. 5282 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(5190(a,2),475(a,2,2))]. 5283 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(5190(a,2),563(a,1,2))]. 5284 T(x,y) * a(K(x,y),z,z \ x) = (K(x,y) * z) * (z \ x). [para(5190(a,2),644(a,1,1))]. 5285 T(x * y,z) * a(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [para(5190(a,2),646(a,1,1))]. 5286 (1 / x) * L((1 / x) \ K(x,y),z,u) = L(T(x,y),z,u) / x. [para(5190(a,2),1505(a,2,1,1))]. 5287 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(5190(a,2),1628(a,1,1))]. 5289 K(R(x,y,z),x) = 1. [hyper(126,a,5221,a),flip(a)]. 5291 T(x * y,K(y,x)) = x * y. [hyper(382,a,5120,a(flip))]. 5292 x / ((y \ x) * y) = K(y,y \ x). [para(15(a,1),5120(a,2,1)),flip(a)]. 5293 K(x,y) * (y * x) = (x * y) * 1. [para(5120(a,2),157(a,1,1))]. 5294 K(x,x \ y) * ((x \ y) * x) = y. [para(5120(a,2),92(a,1,1))]. 5296 R(T(K(x,y),(y * x) * z),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(5120(a,2),837(a,1,1,1))]. 5297 K(x,y) != z | T(y,x) \ y = z. [para(5120(a,2),4036(a,1))]. 5298 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(5124(a,2),104(a,1,2,2)),flip(a)]. 5300 T(1 / (1 / x),y) = 1 / (K(y,x) / x). [para(5132(a,2),2381(a,1,2)),flip(a)]. 5301 K(x,y) \ (1 / T(y,x)) = 1 / y. [para(5132(a,1),4693(a,1,2))]. 5302 T(x,y) = 1 / (x \ K(y,x)). [hyper(185,a,5134,a),flip(a)]. 5303 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [para(117(a,1),5134(a,1,1))]. 5304 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(5134(a,1),297(a,1,2)),flip(b)]. 5306 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(5134(a,1),1830(a,1,2,1))]. 5307 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(5134(a,2),3495(a,2,1))]. 5309 K(L(x,y,z),z * y) * ((z * (y * x)) / (z * y)) = L(x,y,z). [para(103(a,1),5145(a,1,2,1))]. 5310 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(93(a,1),5145(a,1,2,1))]. 5312 K(x,y / x) * y = x * (y / x). [para(17(a,1),5146(a,1,2))]. 5313 x * (y * z) != z * y | K(z,y) = x. [para(5146(a,1),47(a,1)),flip(a)]. 5314 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),5146(a,1,2))]. 5315 (x * (y * x)) / (x * y) = x * K(y,x). [para(5146(a,1),4411(a,1,1,2))]. 5316 K(T(x,y),y) = K(x,y). [hyper(285,a,5119,a,b,5148,a)]. 5317 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [para(5148(a,2),4728(a,1,1))]. 5318 K(x,y / x) = K(x,x \ y). [hyper(4471,a,5316,a)]. 5319 K(x,T(y,x)) = K(x,y). [hyper(4460,a,5316,a),flip(a)]. 5320 K(x,y) \ 1 = K(y,x). [hyper(66,a,4447,a(flip),b,5316,a)]. 5321 K(x,y) * K(y,x) = 1. [hyper(124,a,5316,a(flip),b,4447,a(flip))]. 5322 K(x \ (y * x),x) = K(y,x). [para(27(a,1),5316(a,1,1))]. 5323 K(x / y,y) = K(y \ x,y). [para(118(a,1),5316(a,1,1)),flip(a)]. 5325 K(T(x,x * y),y) = K(L(x,y,x),y). [para(664(a,1),5316(a,1,1))]. 5326 K(R(x \ y,x,z),x) = K((y * z) / (x * z),x). [para(603(a,1),5316(a,1,1))]. 5327 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(726(a,1),5316(a,1,1)),flip(a)]. 5328 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(718(a,1),5316(a,1,1)),flip(a)]. 5329 K((x * y) \ ((x * z) * y),x) = K(R(T(z,x * y),x,y),x). [para(981(a,1),5316(a,1,1)),flip(a)]. 5330 K(x \ (y * L(x,z,u)),x) = K((y / x) * L(x,z,u),x). [para(1568(a,1),5316(a,1,1))]. 5331 K(x,y) \ x = x * K(y,x). [para(5316(a,1),4457(a,1,2)),flip(a)]. 5332 K(x,y) \ 1 != z | K(y,x) = z. [para(5316(a,1),4455(a,1,1))]. 5333 L(x,K(y,z),K(z,y)) = x. [para(5316(a,1),4543(a,1,3))]. 5334 K(x,y) \ z = K(y,x) * z. [para(5316(a,1),4544(a,1,1)),flip(a)]. 5335 K(x * K(y,x),y) = K(x,y). [para(5150(a,1),5316(a,1,1)),flip(a)]. 5336 K(x,x \ (y * x)) = K(x,y). [para(27(a,1),5319(a,1,2))]. 5337 K(x,T(T(y,x),z)) = K(x,T(y,z)). [para(28(a,1),5319(a,1,2))]. 5338 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(30(a,2),5319(a,1,2))]. 5339 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(117(a,1),5319(a,1,2))]. 5340 K(x,T(y / x,z)) = K(x,T(x \ y,z)). [para(231(a,1),5319(a,1,2)),flip(a)]. 5341 K(x,R(y / x,z,u)) = K(x,R(x \ y,z,u)). [para(233(a,1),5319(a,1,2)),flip(a)]. 5342 K(x,y * K(x,y)) = K(x,y). [para(5150(a,1),5319(a,1,2)),flip(a)]. 5344 1 / K(x,y) = K(y,x). [hyper(185,a,5320,a)]. 5345 x / (x * K(y,x)) = K(x,y). [hyper(66,a,4545,a,b,5320,a)]. 5346 (x * K(y,x)) \ x = K(x,y). [hyper(66,a,3555,a,b,5320,a)]. 5347 K(x,y) != z \ 1 | K(y,x) = z. [para(5320(a,1),51(a,1))]. 5348 x * (K(y,z) * K(z,y)) = x. [para(5320(a,1),82(a,1,2,2))]. 5349 x * K(y,z) != 1 | K(z,y) = x. [para(5320(a,1),134(a,1,2)),flip(b)]. 5350 1 / K(x,y) != z | K(y,x) = z. [para(5320(a,1),297(a,1,2)),flip(b)]. 5355 (x * y) \ ((y * x) * T(K(x,y),z)) = K(y,x) * T(K(x,y),z). [para(5320(a,1),1715(a,2,2,1))]. 5356 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) / K(y,z). [para(5320(a,1),1744(a,1,1,2,2,1)),flip(a)]. 5357 T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(5320(a,1),1799(a,2,1,2,1))]. 5359 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5320(a,1),4426(a,2,2))]. 5360 K(x,y) * (K(y,x) * z) = z. [para(5320(a,1),4536(a,1,1))]. 5361 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [para(5320(a,1),4542(a,1,1))]. 5362 1 / (x \ K(x,y)) = x * K(y,x). [hyper(123,a,5321,a(flip),b,4425,a)]. 5364 K(x,y) * z != 1 | K(y,x) = z. [para(5321(a,1),46(a,1)),flip(a)]. 5365 x * (K(y,z) * K(z,y)) != u | x = u. [para(5321(a,2),133(a,1,2))]. 5366 L(x,K(y,z),K(z,y)) != u | x = u. [para(5333(a,1),53(a,2))]. 5367 T(x,y) * K(x * y,T(x,y)) = R(x,y,x). [hyper(4281,a,5149,a),flip(a)]. 5368 ((x \ (1 / y)) * x) * y = K((x * y) \ 1,x). [hyper(3863,a,5149,a)]. 5370 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(124,a,5149,a,b,14,a)]. 5371 ((x * (y * x)) / x) / L(x,y,x) = y * K(x,y). [hyper(66,a,1573,a,b,5149,a)]. 5372 (x * y) * K(T(y,x),x * y) = T(y,x * y) * T(x,y). [hyper(66,a,4392,a(flip),b,5149,a),flip(a)]. 5373 x \ T(x * y,y) = y * K(x * y,y). [hyper(66,a,3994,a(flip),b,5149,a)]. 5374 (x / ((y * z) / y)) * (z * K(y,z)) = x. [hyper(124,a,5149,a(flip),b,90,a)]. 5375 T(x,y) \ (y * K(x,y)) = x \ y. [hyper(122,a,5149,a(flip),b,3964,a)]. 5376 (x * y) / x != y * z | K(x,y) = z. [para(5149(a,2),46(a,1))]. 5377 T(x,y) * K(y,T(x,y)) != z | z = x. [para(5149(a,1),298(a,1))]. 5378 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(112(a,1),5149(a,1,1))]. 5379 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(5149(a,1),113(a,1,1))]. 5381 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(5149(a,2),463(a,1,2))]. 5382 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(5149(a,1),488(a,1,1))]. 5383 T(x * K(y,x),x * y) = L(x,y,x). [para(5149(a,1),670(a,1,1))]. 5384 (x * (y * z)) / L(y,z * K(y,z),x) = x * ((y * z) / y). [para(5149(a,1),499(a,1,2,2))]. 5385 T(x * K(y * x,x),y) = R(x,y,x). [para(5149(a,1),713(a,2,1)),flip(a)]. 5386 T((x / y) * K(z,x / y),y) = (z * (y \ x)) / z. [para(5149(a,1),638(a,1,1))]. 5387 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(5149(a,1),779(a,1,1))]. 5388 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(5149(a,1),783(a,1,1))]. 5389 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(x / y,y,K(z,x)). [para(5149(a,2),95(a,1,2))]. 5390 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(y \ (x / (y \ 1)),y). [para(931(a,1),5149(a,1,1))]. 5391 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(5149(a,1),1035(a,1,1))]. 5392 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(5149(a,1),780(a,1,1))]. 5393 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(5149(a,1),1331(a,2,1,2))]. 5394 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(5149(a,1),1523(a,1,1))]. 5395 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1551(a,1),5149(a,1,1))]. 5396 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(5149(a,1),1574(a,2,1)),flip(a)]. 5397 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1614(a,1),5149(a,1,1))]. 5398 ((x * y) * R(T(x,y),z,u)) / (R(x,z,u) * y) = T(x,y) * K(R(x,z,u) * y,T(x,y)). [para(1661(a,1),5149(a,1,1))]. 5399 L(x,y,x * K(y,x)) = L(x,y,x). [para(5149(a,1),4227(a,1,3))]. 5400 T(x * K(y,x),y * x) = L(x,y,x). [para(5149(a,1),4230(a,1,1))]. 5401 ((x \ 1) * y) * K(((x \ 1) * y) \ y,(x \ 1) * y) = (x * (y / x)) / (((x \ 1) * y) \ y). [para(4393(a,1),5149(a,1,1)),flip(a)]. 5402 ((x * y) / x) * z = y * (K(x,y) * z). [para(5149(a,2),4409(a,1,1))]. 5404 a(x * K(y,x),y,z) = a(x,T(y,x),z). [para(5149(a,1),4527(a,1,1))]. 5405 (x \ y) * (x * K(y,x)) = T((x \ y) * x,x). [para(5149(a,1),4961(a,2,2)),flip(a)]. 5406 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(5149(a,1),4980(a,1,1,2))]. 5407 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(122,a,5167,a,b,1304,a)]. 5408 (x \ y) \ (y / x) = K(x,x \ y). [para(15(a,1),5167(a,2,2,1)),flip(a)]. 5409 x * K(y,x) != z | (y * x) / y = z. [para(5167(a,2),240(a,1,2)),flip(b)]. 5410 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(5167(a,2),303(a,1,2,2))]. 5411 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),1490(a,1,2)),flip(a)]. 5412 K(x,y) = x * (((y * x) / y) \ 1). [hyper(285,a,4263,a,b,5170,a),flip(a)]. 5413 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(122,a,5170,a,b,4263,a),flip(a)]. 5414 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(122,a,5170,a,b,116,a),flip(a)]. 5415 K(x \ 1,y) * K(x \ 1,x) = T(x \ 1,y) * x. [para(5170(a,2),2691(a,1,1))]. 5416 K(x,x \ 1) * K(x,y) = T(x,y) * (1 / x). [para(5170(a,2),2860(a,1,2))]. 5417 K(x \ 1,x) * ((T(x,y) * (1 / x)) * z) = K(x,y) * z. [para(5170(a,2),3709(a,2,1))]. 5418 T(K(x,y),z) * K(y,x) = K(K(x,y),z). [para(5320(a,1),5170(a,2,2)),flip(a)]. 5420 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5191,a),flip(a)]. 5421 (x \ y) * K((x \ 1) \ 1,x \ y) = y / x. [hyper(38,a,2905,a(flip),b,5191,a),flip(a)]. 5422 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x,z * K(y,z),y). [para(5191(a,1),19(a,2,1,2)),flip(a)]. 5423 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3224(a,1),5191(a,1,1))]. 5424 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(123,a,875,a,b,5192,a(flip))]. 5425 (x \ T(x * y,y)) / y = K(x * y,y). [hyper(123,a,3994,a(flip),b,5192,a(flip))]. 5426 K(x,R(y,x,x \ 1)) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [hyper(122,a,756,a(flip),b,5192,a(flip))]. 5427 (x * K(y,z)) \ (x * ((y * z) / y)) = L(z,K(y,z),x). [para(5192(a,2),23(a,2,2,2)),flip(a)]. 5431 (x * y) \ (y * (K(x,y) * (x * z))) = L(z,x,y * K(x,y)). [para(5274(a,1),4588(a,1,1))]. 5432 (((x \ y) * x) \ y) \ y = (x \ y) * x. [hyper(636,a,5291,a)]. 5434 x \ (y * (x / y)) = K(y,y \ x). [hyper(66,a,99,a,b,5318,a)]. 5435 x * K(y,y \ x) = y * (x / y). [hyper(124,a,5318,a(flip),b,99,a)]. 5438 (x * (y / x)) \ y = K(x \ y,x). [hyper(66,a,100,a,b,5323,a)]. 5439 (x * (y / x)) * K(x \ y,x) = y. [hyper(124,a,5323,a(flip),b,100,a)]. 5443 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5331(a,1),105(a,1,1))]. 5444 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(5331(a,1),4426(a,2,2))]. 5445 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(2234,a,5334,a)]. 5446 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(659,a,5334,a)]. 5447 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [hyper(285,a,3199,a,b,5334,a),flip(a)]. 5448 x / (K(y,z) * x) = K(z,y). [hyper(185,a,5334,a)]. 5449 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(122,a,5334,a,b,116,a)]. 5450 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(66,a,3652,a(flip),b,5334,a),flip(a)]. 5452 K(x,y) * z != u | K(y,x) * u = z. [para(5334(a,1),138(a,1))]. 5453 K(x,y) * (K(y,x) * z) != u | u = z. [para(5334(a,1),240(a,1,2))]. 5454 x / (K(y,z) * x) != u | K(z,y) = u. [para(5334(a,1),297(a,1,2)),flip(b)]. 5455 K(x,y) * (K(y,x) * (z * u)) != z * w | u = w. [para(5334(a,1),129(a,1,2))]. 5458 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5334(a,1),546(a,1,2))]. 5459 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5334(a,1),335(a,1,1,3))]. 5460 R(x,K(y,z),K(z,y)) / K(z,y) = x * K(y,z). [hyper(123,a,5348,a(flip),b,112,a(flip))]. 5461 L(x,K(y,z),K(z,y)) = K(u,w) * (K(w,u) * x) # label(flip_matches_hint). [hyper(285,a,5333,a,b,5360,a)]. 5462 (K(x,y) / y) / (K(z,u) * (1 / T(y,x))) = K(u,z). [hyper(123,a,5132,a,b,5360,a)]. 5463 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [hyper(124,a,5360,a(flip),b,176,a)]. 5464 K(x,y) \ z != u | K(y,x) * z = u. [para(5360(a,1),304(a,1,2)),flip(b)]. 5465 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (K(u,z) * (K(z,u) * (y * x))). [para(5360(a,1),442(a,1,1)),flip(a)]. 5467 T(x,y) / (T(x,y) * K(z,x)) = K(x,z). [para(3193(a,2),5448(a,1,2))]. 5468 x / (K(y,z) * ((x \ 1) \ 1)) = K(x \ 1,x) * K(z,y). [para(5448(a,1),3718(a,1,2)),flip(a)]. 5473 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(30(a,2),5208(a,1,2))]. 5474 R(x,y,z) \ R(T(x,u),y,z) != w | K(R(x,y,z),u) = w. [para(32(a,2),5208(a,1,2))]. 5476 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(662(a,2),5208(a,1,2))]. 5477 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(3268(a,1),5208(a,1))]. 5478 K(x,y) * T(K(y,x),z) != u | K(K(y,x),z) = u. [para(5334(a,1),5208(a,1))]. 5479 T(x,y) / T(T(x,z),y) != u | K(z,T(x,y)) = u. [para(28(a,1),5235(a,1,2))]. 5490 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = L(K(z,y),y \ 1,x). [para(5122(a,2),105(a,1,1)),flip(a)]. 5491 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(839,a,5126,a)]. 5492 T(1 / x,y) * x = K(x \ 1,y). [hyper(423,a,5126,a)]. 5493 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(66,a,2299,a(flip),b,5126,a)]. 5494 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(66,a,2290,a(flip),b,5126,a)]. 5495 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(66,a,1262,a(flip),b,5126,a)]. 5497 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [hyper(124,a,5126,a(flip),b,1262,a(flip)),flip(a)]. 5498 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(122,a,5126,a(flip),b,830,a(flip))]. 5500 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(5126(a,1),850(a,2,2))]. 5501 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(5126(a,1),1126(a,1,1))]. 5502 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(5126(a,1),1289(a,1,1))]. 5503 (x * y) * T((x * y) \ y,z) = K(x \ 1,z) * y. [para(5126(a,1),1357(a,2,1))]. 5504 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(5126(a,1),1364(a,2,1))]. 5505 (x * y) * T((x * y) \ y,z) = y * K(T(x,y) \ 1,z). [para(5126(a,1),1344(a,1,2)),flip(a)]. 5506 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),1355(a,2,2))]. 5507 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(5126(a,1),2121(a,2,1,2))]. 5512 (x * T(x \ (K((x / y) \ 1,z) * y),u)) / y = (x / y) * T(T((x / y) \ 1,z),u). [para(5135(a,1),1352(a,2,2,1))]. 5514 x \ (T(x,y) * z) = K(x,y) * z. [hyper(128,a,5152,a)]. 5515 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(122,a,5170,a,b,5152,a),flip(a)]. 5516 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(122,a,15,a(flip),b,5152,a),flip(a)]. 5517 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(37,a,4263,a,b,5152,a)]. 5518 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(37,a,1004,a,b,5152,a),flip(a)]. 5519 K(x,y) * T(y,x * y) = L(y,x,y). [hyper(37,a,4325,a(flip),b,5152,a),flip(a)]. 5520 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(37,a,4323,a(flip),b,5152,a),flip(a)]. 5521 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(5152(a,1),19(a,2,2,1)),flip(a)]. 5522 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2229(a,1),5152(a,1,2))]. 5523 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(863,a,5153,a)]. 5524 T(x,y) * (x \ R(x,z,u)) = R(x,z,u) * K(x,y). [hyper(285,a,3355,a,b,5153,a),flip(a)]. 5525 (K(x,y) * z) / (x \ z) = T(x,y). [hyper(135,a,5153,a)]. 5526 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(128,a,5153,a)]. 5527 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(122,a,5360,a(flip),b,5153,a),flip(a)]. 5529 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(66,a,5152,a,b,5153,a)]. 5530 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(66,a,5052,a(flip),b,5153,a)]. 5532 (x * y) / (T(x,z) * y) = K(z,x). [hyper(123,a,4510,a(flip),b,5153,a(flip))]. 5533 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(123,a,994,a(flip),b,5153,a(flip))]. 5534 K(x,y) \ (y * z) = T(y,x) * z. [hyper(122,a,4510,a(flip),b,5153,a(flip))]. 5535 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(122,a,5153,a(flip),b,5152,a)]. 5536 K(x * y,z) * (x * (y * u)) = T(x * y,z) * L(u,y,x). [para(23(a,2),5153(a,1,2)),flip(a)]. 5537 (K(x,y) * z) / (x \ z) != u | T(x,y) = u. [para(5153(a,1),294(a,1,1)),flip(b)]. 5540 (x * y) \ (y * (K(x,y) * z)) = L(x \ z,T(x,y),y). [para(5153(a,1),215(a,1,2,2))]. 5541 K(x \ y,z) * K(x \ y,y \ x) = T(x \ y,z) * (1 / (x \ y)). [para(2503(a,1),5153(a,1,2)),flip(a)]. 5542 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(5125(a,2),5153(a,1,2)),flip(a)]. 5543 x * (T(x,y) \ K(x,z)) = K(x,z) * K(y,x). [hyper(285,a,2229,a,b,5157,a),flip(a)]. 5544 T(x,y) \ (x * z) = K(y,x) * z. [hyper(66,a,999,a,b,5157,a)]. 5545 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(37,a,4428,a,b,5157,a)]. 5546 (x \ T(x * y,z)) / y = K(y / (x \ 1),z). [hyper(123,a,4517,a,b,5157,a(flip))]. 5547 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(123,a,4826,a(flip),b,5157,a(flip)),flip(a)]. 5550 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,x / T(y,x)) * z. [para(4143(a,1),5157(a,1,2,1))]. 5551 x * (K(y,x) * (T(x,z) \ u)) = K(y,x) * (K(z,x) * u). [para(5157(a,1),4427(a,1,2)),flip(a)]. 5552 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(5125(a,2),5157(a,1,2)),flip(a)]. 5557 K(x,y) = (T(x,y) \ 1) \ (x \ 1). [hyper(180,a,5187,a),flip(a)]. 5558 (T(x,y) \ 1) \ (x \ 1) != z | K(x,y) = z. [para(5187(a,1),307(a,1,1)),flip(b)]. 5559 K(x,x \ K(y,x)) = K(x,x \ 1). [hyper(37,a,3496,a,b,5193,a),flip(a)]. 5560 (1 / (x \ y)) * (y / x) = K(x,x \ y). [hyper(124,a,5193,a(flip),b,3222,a)]. 5561 R((x \ y) / z,z,K(x,x \ y)) = (y / x) / (z * K(x,x \ y)). [para(5193(a,1),113(a,2,1))]. 5562 K(x,x \ y) / (y / x) = 1 / (x \ y). [para(5193(a,1),3221(a,1,2))]. 5563 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(5193(a,1),4409(a,1,1)),flip(a)]. 5564 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(5193(a,1),4414(a,1,1)),flip(a)]. 5566 T(x \ y,R(y / x,z,u)) = x \ y. [para(5193(a,1),4625(a,1,2,1))]. 5567 K(x,y / (z \ 1)) * (z \ T(z * y,x)) = y. [hyper(124,a,4517,a,b,5196,a(flip))]. 5569 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(5197(a,1),447(a,1,1))]. 5570 (x * K(y,y \ z)) * z != u * (y * (z / y)) | R(x,K(y,y \ z),z) = u. [para(5197(a,1),475(a,2,2))]. 5571 K(x,(x \ 1) * y) * y = x * (y / x). [para(4664(a,2),5197(a,1,1))]. 5574 x \ (T(x,y) * y) = y * K(x,y). [hyper(122,a,5219,a(flip),b,4468,a(flip))]. 5576 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(5219(a,1),303(a,1))]. 5577 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(222(a,1),5219(a,1,2))]. 5578 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(223(a,1),5219(a,1,2))]. 5579 ((T(x,y) * z) * u) / ((x * z) * u) != w | R(K(x,y),x * z,u) = w. [para(5219(a,1),479(a,1,1,1))]. 5583 ((x * y) * (z * K(y,z))) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(5220(a,1),25(a,2,2)),flip(a)]. 5584 K(x,y) * (x / y) = x / T(y,x). [hyper(4339,a,5228,a),flip(a)]. 5585 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(551,a,5228,a),flip(a)]. 5586 T(x,y) / (K(z,x) * K(x,y)) = T(x,z). [hyper(123,a,5130,a,b,5228,a)]. 5587 T(x,y) \ T(x,z) = K(y,x) * K(x,z). [hyper(122,a,5130,a,b,5228,a)]. 5590 T(x,y) * z != x * u | K(y,x) * u = z. [para(5228(a,1),46(a,1)),flip(a)]. 5591 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5228(a,1),304(a,1,2)),flip(b)]. 5592 T(x,y) \ (x * z) != z * u | T(K(y,x),z) = u. [para(5228(a,1),375(a,1,2))]. 5593 T(x,x \ y) / (y \ x) = ((1 / (y \ x)) \ y) * (1 / (y \ x)). [para(5233(a,1),3054(a,1,1))]. 5594 K(x,T(y,z)) * T(y,z) = T(y * K(x,y),z). [hyper(43,a,5251,a,b,5240,a)]. 5595 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(43,a,5150,a,b,5240,a)]. 5596 T(x * K(x * y,x),y * x) = x. [hyper(43,a,4182,a(flip),b,5240,a),flip(a)]. 5597 T(x \ K(y,x \ 1),z) * y = y * T(x \ 1,z). [para(5252(a,1),221(a,1,2,1)),flip(a)]. 5599 T(x * y,y) / T(x,y) = y * K(x * y,y). [para(27(a,2),5269(a,1,2))]. 5600 (x \ y) * T((x \ y) \ T(y,x),z) = T(x * K(y,x),z) * (x \ y). [para(5269(a,1),417(a,1,1,1)),flip(a)]. 5601 T(x,y) \ (y \ T(x,y)) = x \ (y \ x). [hyper(122,a,5271,a(flip),b,5153,a)]. 5602 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,y \ x). [para(5069(a,2),5292(a,1,2))]. 5603 K(x,y) * (y * x) = (x * y) * a(K(z,u),u,w). [para(4401(a,2),5293(a,2,2))]. 5604 K(x,y * K(x,y)) \ (1 / y) = 1 / (y * K(x,y)). [para(5150(a,1),5301(a,1,2,2))]. 5606 T(x * K(y,x),z) * (x \ K(x,y)) = K(x * K(y,x),z). [hyper(124,a,5359,a(flip),b,5174,a)]. 5608 T(x,y * x) \ ((y * x) * K(x,y * x)) = T(y,x). [hyper(285,a,27,a,b,5375,a),flip(a)]. 5609 T(T(x,y),z) \ (y * K(T(x,z),y)) = T(x,z) \ y. [para(28(a,1),5375(a,1,1))]. 5610 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5408(a,1),240(a,1,2)),flip(b)]. 5611 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(5412(a,2),1147(a,2,2))]. 5612 K(((x / y) \ 1) \ y,(x / y) \ 1) = K(x,x \ y). [hyper(3849,a,5434,a)]. 5613 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [hyper(124,a,4665,a(flip),b,5434,a),flip(a)]. 5615 T(x,y) \ T(z * (x / z),y) = K(z,z \ T(x,y)). [para(4905(a,2),5434(a,1,2))]. 5616 T(K(x,x \ y),y) = K(x,x \ y). [hyper(224,a,5197,a,b,5435,a)]. 5617 T(x,K(y,y \ x)) = x. [hyper(224,a,5435,a,b,5197,a)]. 5618 T(x,y) * (K(y,x) * K(z,z \ x)) = z * (x / z). [hyper(66,a,5228,a,b,5435,a)]. 5619 x * (K(x \ 1,x) * K(y,y \ (1 / (1 / x)))) = y * ((1 / (1 / x)) / y). [hyper(66,a,3009,a,b,5435,a)]. 5620 x * (y / x) != y * z | K(x,x \ y) = z. [para(5435(a,1),46(a,1))]. 5621 L(K(x,x \ y) \ z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5435(a,1),105(a,2,1))]. 5622 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5435(a,1),462(a,1,2))]. 5623 (x \ 1) * (y * K(x,x \ y)) = L(y,x \ 1,x) / x. [para(5435(a,2),2187(a,1,2))]. 5624 K(x,K(y,y \ x)) = 1. [hyper(58,a,5617,a)]. 5625 T(x * (y / x),z) \ T(y,z) = K(x \ T(y,z),x). [para(4905(a,2),5438(a,1,1))]. 5626 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1588(a,1,2,2,1))]. 5627 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5449(a,1),1658(a,1,2,2,1))]. 5628 K(x \ 1,(1 / x) \ y) = (((1 / x) \ y) \ y) * x. [hyper(66,a,281,a(flip),b,5492,a),flip(a)]. 5629 K(x \ 1,x) * K(x \ 1,y) = T(x \ 1,y) * x. [para(5492(a,1),4743(a,1,2))]. 5630 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(5514(a,1),1016(a,1))]. 5631 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(1386,a,5515,a)]. 5632 (x \ K(x,y)) * L(z,x \ 1,K(x,y)) = K(x,y) * ((x \ 1) * z). [para(5515(a,1),103(a,1,1))]. 5633 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(5515(a,1),5448(a,1,2))]. 5634 K(x,y) * (T(y,x) \ z) = T(T(y,x),x) \ z. [hyper(124,a,5516,a(flip),b,4544,a(flip))]. 5635 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5516(a,1),46(a,1))]. 5637 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(41,a,4088,a,b,5526,a),flip(a)]. 5638 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(41,a,4297,a(flip),b,5526,a),flip(a)]. 5643 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(32(a,2),5532(a,1,2,1))]. 5644 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(30(a,2),5533(a,1,2,1))]. 5646 (x \ T(x * y,x)) / y = K(x * y,x). [hyper(123,a,4121,a(flip),b,5544,a(flip))]. 5648 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5545(a,1),445(a,1,1)),flip(a)]. 5649 (x \ K(y,x)) \ (x \ 1) = K(x,y). [para(5134(a,1),5557(a,2,1)),flip(a)]. 5650 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y * K(x,y),x). [para(5574(a,1),5073(a,2,2,1))]. 5651 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5584(a,1),103(a,1,1))]. 5652 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5584(a,1),176(a,1,2,1))]. 5653 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(5585(a,1),240(a,1,2)),flip(b)]. 5655 T(K(x,(x \ 1) * y),y) = K(x,x \ y). [para(4664(a,2),5616(a,1,1))]. 5660 ((x * (y * x)) / x) / L(x,y,x) != y * z | K(L(x,y,x),y) = z. [para(4231(a,2),5376(a,1,1))]. 5661 L(x,y * K(x * y,y),x) = L(x,R(y,x,y),x). [para(5385(a,1),4328(a,1,2)),flip(a)]. 5662 K(x,y) * z != u | K(y,x) \ z = u. [para(15(a,1),5453(a,1,2)),flip(b)]. 5664 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3751(a,2),5453(a,1,2)),flip(b)]. 5666 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(5158(a,1),5453(a,1,2)),flip(b)]. 5667 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5515(a,1),5454(a,1,2))]. 5668 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(27(a,2),5464(a,1))]. 5670 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3196,a,5520,a)]. 5671 K(x,y) * (T(y,y * x) * z) = L(y,x,y) * z. [para(5520(a,1),4395(a,1,1)),flip(a)]. 5675 T(x,y) \ (x * z) != u | K(x,y) \ z = u. [para(5544(a,2),5662(a,1))]. 5676 K(x,x * y) * K(y,x) = x \ L(x,y,x). [hyper(122,a,5670,a(flip),b,5152,a),flip(a)]. 5677 ((1 / x) * (y \ x)) \ K(y \ x,y) = L(y,y \ x,x \ 1). [hyper(122,a,5076,a(flip),b,3667,a)]. 5678 x \ K(y \ (x \ 1),y) = (y \ (x \ 1)) * y. [hyper(122,a,5076,a(flip),b,175,a(flip))]. 5679 K(x \ y,x) \ (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [para(5076(a,1),19(a,2,1)),flip(a)]. 5680 ((1 / x) * y) \ K(y \ x,y) = L(T(y \ x,y),y,1 / x). [para(5076(a,1),216(a,1,2))]. 5682 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(14(a,1),5102(a,1,1,1)),flip(a)]. 5683 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x * K(y,x)). [para(5150(a,1),5133(a,1,1,1)),flip(a)]. 5685 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(123,a,829,a(flip),b,5154,a)]. 5687 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(5154(a,1),225(a,2)),flip(a)]. 5688 x / (y * T(y \ x,z)) = K(z,x / y). [para(5154(a,1),5448(a,1,2))]. 5690 T(x,y) / T(T(x,z \ x),y) = K(x / z,T(x,y)). [para(3975(a,1),5159(a,1,2,1))]. 5692 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(66,a,2807,a(flip),b,5166,a)]. 5693 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(66,a,2215,a(flip),b,5166,a)]. 5694 T(x * ((y * (x \ 1)) / y),z) = K(y,T(x,z) \ 1). [hyper(66,a,2052,a(flip),b,5166,a)]. 5695 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [hyper(124,a,5166,a(flip),b,1760,a(flip))]. 5696 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(123,a,5166,a(flip),b,798,a)]. 5697 ((x * y) * ((z * (y \ 1)) / z)) / K(z,y \ 1) = R(x,y,(z * (y \ 1)) / z). [para(5166(a,1),25(a,2,2)),flip(a)]. 5698 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(5166(a,1),1177(a,2,2))]. 5699 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(5166(a,1),2045(a,2,1))]. 5701 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(5168(a,2),1357(a,2,1))]. 5702 T(T(1 / x,y) * x,z) / x = (1 / x) * T(K(x \ 1,y),z). [para(5177(a,1),896(a,1,1,1,1))]. 5703 K(x,y) * (T(x,z) \ 1) = (T(x,z) \ 1) * K(x,y). [hyper(124,a,5186,a(flip),b,27,a(flip))]. 5704 K(x,y / (z * y)) = K(x,z \ 1). [hyper(5208,a,5201,a)]. 5706 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(66,a,4413,a,b,5704,a)]. 5707 K(x,(y \ z) / z) = K(x,y \ 1). [para(15(a,1),5704(a,1,2,2))]. 5708 K(x,(y / z) \ 1) = K(x,z / y). [para(17(a,1),5704(a,1,2,2)),flip(a)]. 5709 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5704(a,1),5234(a,1,1))]. 5712 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(463(a,1),5707(a,1,2,1)),flip(a)]. 5714 R(K(x,y / z),y / z,u) = K(x,(z / y) \ 1). [hyper(285,a,4413,a,b,5708,a)]. 5715 K(x,(y / z) \ 1) = K(x,z / y) * 1. [hyper(285,a,13,a,b,5708,a),flip(a)]. 5716 ((x / y) \ 1) \ K(z,y / x) = T((x / y) \ 1,z) \ 1. [hyper(122,a,5708,a(flip),b,5124,a(flip))]. 5718 L(x * K(y,x),z,u) * T(y,x) = T(y,x) * L(x,z,u). [para(5239(a,1),588(a,1,1,1))]. 5719 T(x * K(x * y,x),y) = R(x,y,x). [hyper(38,a,4134,a,b,5242,a),flip(a)]. 5720 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(38,a,1634,a,b,5242,a),flip(a)]. 5721 T(x * K(y,x),z) / T(x,z) = K(y,T(x,z)). [hyper(123,a,5243,a,b,5192,a(flip))]. 5722 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(122,a,5243,a,b,5149,a(flip))]. 5723 T(x,T(y,z)) * T(y,z) = x * T(y * K(x,y),z). [para(5243(a,2),3955(a,2,2))]. 5724 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5243(a,2),5121(a,2,1)),flip(a)]. 5725 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(5243(a,2),5241(a,1))]. 5726 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(5273(a,1),5259(a,1))]. 5727 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4284(a,2),5726(a,1))]. 5728 K(x,y) / (1 / x) = 1 / (K(y,x) / x). [hyper(66,a,5255,a(flip),b,5300,a)]. 5729 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2963(a,1),5338(a,1,2))]. 5730 x * (y * K(z,y)) != u | u / ((z * y) / z) = x. [para(5370(a,1),135(a,1))]. 5731 T(T(x * y,y) / (T(x * y,y) / x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(5373(a,1),4273(a,2,2))]. 5732 T(x,y) * (K(z,T(x,y)) * u) = T(x * K(z,x),y) * u. [para(5243(a,2),5402(a,1,1)),flip(a)]. 5734 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(123,a,1246,a(flip),b,5423,a),flip(a)]. 5735 R(K(x * (y / (z * y)),y / (z * y)),R(1 / z,z,y),z * y) = ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y. [para(5425(a,1),705(a,1,1))]. 5736 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,(x \ 1) \ 1)) = K(x,z). [hyper(285,a,3341,a(flip),b,5467,a),flip(a)]. 5737 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(15(a,1),5517(a,1,1,1)),flip(a)]. 5738 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(5149(a,1),5517(a,1,1))]. 5740 T(x,y) * T(T(y,x),z) = K(y,z) * (x * y). [hyper(285,a,4124,a,b,5518,a)]. 5742 x * (K(x,y) * K(x,z)) = K(x,y) * T(x,z). [para(5125(a,2),5529(a,1,2,2))]. 5743 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(285,a,3353,a(flip),b,5542,a)]. 5744 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5542(a,2),3362(a,1))]. 5745 T(x,(((y \ z) \ 1) * (z / y)) * u) = T(x,K(y,y \ z) * u). [para(5560(a,1),4816(a,1,2,1)),flip(a)]. 5746 x / (K(y,x * K(z,x)) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(5150(a,1),5586(a,1,1))]. 5747 T(T(x,y),z) \ T(T(x,u),y) = K(z,T(x,y)) * K(T(x,y),u). [para(28(a,1),5587(a,1,2))]. 5748 (x * T(y,x)) * T((x * T(y,x)) \ T(y,x),z) = x * (T(y,x) * T(y \ (x \ y),z)). [para(5601(a,1),830(a,2,2,2,1))]. 5749 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(15(a,1),5638(a,1,2,1,1))]. 5753 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(830(a,1),5688(a,1,2))]. 5754 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1414(a,1),5688(a,1,2))]. 5755 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5696(a,2),713(a,2,1)),flip(a)]. 5756 K(x,(y / z) \ 1) != u * 1 | K(x,z / y) = u. [para(5715(a,2),47(a,1))]. 5757 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5715(a,2),132(a,1)),flip(b)]. 5759 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [hyper(124,a,5743,a,b,176,a)]. 5760 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5743(a,1),46(a,1))]. 5763 T(x,y) * K(x * y,x) = R(x,y,x). [para(4345(a,1),5237(a,1,2))]. 5764 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(122,a,5763,a(flip),b,5152,a),flip(a)]. 5765 K(x * y,T(x,y)) = K(x * y,x). [hyper(37,a,5763,a,b,5367,a),flip(a)]. 5766 K(1 / x,y) != z | K(x \ 1,y) = z. [para(5171(a,1),5477(a,1))]. 5767 K(x,y) != z | K((x \ 1) \ 1,y) = z. [para(87(a,1),5766(a,1,1))]. 5770 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5527(a,1),5576(a,1,2))]. 5771 ((x \ 1) \ y) * (x \ 1) != y * z | K(x * y,(x * y) \ y) = z. [para(3856(a,2),5620(a,1))]. 5775 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(116(a,1),5666(a,1,2))]. 5777 K(x,y \ 1) != z | K(x,1 / y) = z. [para(86(a,1),5757(a,1,2,1))]. 5778 K(T(x / y,z),T(x / y,z) \ 1) != u | K(x / y,y / x) = u. [para(3158(a,2),5757(a,1))]. 5783 (x * K(y \ 1,x)) / ((x \ (y \ x)) * x) = y. [hyper(135,a,5156,a)]. 5784 K(x * y,T(y,x)) = K(x * y,y). [hyper(37,a,5130,a(flip),b,5203,a),flip(a)]. 5785 K(x * y,y) = K(y * x,y). [hyper(4346,a,5784,a),flip(a)]. 5786 K(x * y,y) != z | K(y * x,y) = z. [para(5784(a,1),4346(a,1))]. 5787 K(x * (y / x),x) = K(y,x). [para(17(a,1),5785(a,1,1)),flip(a)]. 5788 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5785(a,2),5764(a,1,2))]. 5789 K(T(x,y) * y,x) = K(x * y,x). [para(3955(a,2),5787(a,1,1))]. 5790 K(T(x * (y / x),z),x) = K(T(y,z),x). [para(4905(a,2),5787(a,1,1))]. 5791 K(T(T(x,y) * y,z),x) = K(T(x * y,z),x). [para(3955(a,2),5790(a,1,1,1))]. 5792 K(x * y,y) * K(y,x) = y \ R(y,x,y). [hyper(2236,a,5788,a)]. 5793 T(x,y * K(y,z)) = T(x,T(y,z)). [hyper(66,a,3036,a(flip),b,5218,a),flip(a)]. 5794 K(x,y) * T((z * y) / z,x) = y * K(z,T(y,x)). [hyper(124,a,5238,a,b,5534,a)]. 5795 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5244,a)]. 5796 L(L(x,y,z) * K(u,L(x,y,z)),w,v5) * u = u * L(L(x,w,v5),y,z). [para(35(a,1),5244(a,2,2))]. 5798 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(38,a,5191,a,b,5245,a)]. 5799 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [hyper(2416,a,5307,a)]. 5800 ((T(x,y) \ 1) * x) * T((x \ 1) \ 1,z) = K(y,x) * T(x,z). [para(5307(a,1),3418(a,1,1))]. 5801 K(x,y) * (K(y \ 1,y) * z) = ((T(y,x) \ 1) * y) * z. [para(5307(a,1),4776(a,1,1)),flip(a)]. 5802 (x * K(y,y \ 1)) / K(z,y) = x / ((T(y,z) \ 1) * y). [para(5307(a,1),4840(a,2,2))]. 5803 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(123,a,5387,a,b,5192,a(flip))]. 5804 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5387(a,2),5121(a,2,1)),flip(a)]. 5805 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(122,a,5388,a,b,5149,a(flip))]. 5806 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5388(a,2),4199(a,1,1))]. 5807 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5388(a,2),5121(a,2,1)),flip(a)]. 5808 R(x,y,z) \ K(R(x,y,z),u) = R(x * K(u,x),y,z) \ 1. [para(5388(a,2),5413(a,1,1)),flip(a)]. 5809 R(x,y,z) * (K(u,R(x,y,z)) * w) = R(x * K(u,x),y,z) * w. [para(5388(a,2),5402(a,1,1)),flip(a)]. 5812 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(285,a,2451,a(flip),b,5407,a)]. 5813 K(x \ y,y \ x) * K(x \ y,z) = T(x \ y,z) * (1 / (x \ y)). [para(2490(a,1),5416(a,1,1))]. 5814 (x * K(y,y \ 1)) * K(y,z) = x * (T(y,z) * (1 / y)). [para(5416(a,1),4891(a,2,2))]. 5815 ((x * y) * z) \ ((x * z) * R(T(y,x * z),x,z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(981(a,1),5495(a,1,2,2))]. 5816 (x * y) \ ((z * T(z \ x,u)) * y) = K(((x * y) \ (z * y)) \ 1,u). [para(1329(a,1),5495(a,1,2))]. 5817 T(x,y) * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),y). [hyper(1363,a,5497,a),flip(a)]. 5818 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,5497,a),flip(a)]. 5819 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(66,a,838,a(flip),b,5497,a)]. 5820 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [hyper(124,a,5497,a(flip),b,838,a(flip))]. 5821 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(123,a,5497,a(flip),b,417,a)]. 5822 K((x / y) \ 1,z) * y = y * K((y \ x) \ 1,z). [hyper(285,a,5497,a(flip),b,5502,a),flip(a)]. 5824 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(285,a,884,a(flip),b,5502,a),flip(a)]. 5826 K(((x \ 1) / y) \ 1,z) = (x \ T(x * y,z)) / y. [hyper(123,a,838,a(flip),b,5502,a),flip(a)]. 5827 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [hyper(123,a,830,a(flip),b,5502,a)]. 5828 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [hyper(123,a,829,a(flip),b,5502,a)]. 5829 x \ (K((x / y) \ 1,z) * y) = T(x \ y,z). [hyper(122,a,5502,a,b,xx)]. 5830 K((x / y) \ 1,z) = K(y / x,z). [hyper(38,a,5154,a,b,5502,a),flip(a)]. 5832 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(14(a,1),5502(a,2,2,1))]. 5833 K((x / y) \ 1,x) = K(x \ y,x). [hyper(285,a,5323,a(flip),b,5830,a),flip(a)]. 5834 K(x / (y * x),z) = K(y \ 1,z). [para(16(a,1),5830(a,1,1,1)),flip(a)]. 5835 K((x / (y * x)) \ 1,z) = K(y,z). [para(16(a,1),5830(a,2,1))]. 5836 K((x \ y) / y,z) = K(x \ 1,z). [para(87(a,1),5830(a,1,1,1)),flip(a)]. 5837 K(L(x \ y,x,z) / (z * y),u) = K((z * x) \ 1,u). [para(437(a,1),5830(a,1,1,1)),flip(a)]. 5838 T(K(x \ y,x),y) = K((x / y) \ 1,x). [hyper(285,a,5085,a,b,5833,a)]. 5839 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(285,a,4655,a(flip),b,5833,a),flip(a)]. 5840 K((x * y) \ y,x * y) = K(x \ 1,x * y). [para(16(a,1),5833(a,1,1,1)),flip(a)]. 5841 K(x \ (y \ x),x) = K(y \ 1,x). [para(87(a,1),5833(a,1,1,1)),flip(a)]. 5845 (x * K(y \ 1,x)) \ (y \ x) = (y \ x) / x. [para(5841(a,1),5087(a,1,1,2))]. 5846 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(66,a,4409,a,b,5522,a)]. 5847 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5523(a,2),225(a,2)),flip(a)]. 5848 K(x,y) * (x \ K(z,x)) = T(x,z) \ K(x,y). [hyper(37,a,5529,a,b,5543,a)]. 5850 K(x / (y \ 1),y) = K(y * x,y). [hyper(66,a,5646,a(flip),b,5546,a),flip(a)]. 5852 K(x / (y \ 1),y) = K(x * y,y). [hyper(285,a,5785,a,b,5850,a),flip(a)]. 5853 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(3214,a,5552,a)]. 5854 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(122,a,15,a(flip),b,5563,a),flip(a)]. 5865 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5595(a,1),304(a,1,2)),flip(b)]. 5866 (x * y) \ (y * T(x * K(z,x),y)) = L(K(z,T(x,y)),T(x,y),y). [para(5595(a,1),215(a,1,2,2))]. 5867 T(x,y) * K(z,T(x,x * (y / x))) = T(x * K(z,x),x * (y / x)). [para(4181(a,1),5595(a,1,1))]. 5868 T(x,y) * T(y * K(z,y),x) = x * (y * K(z,T(y,x))). [para(5595(a,1),4513(a,1,2))]. 5869 T(x * K(T(x,y) \ z,x),y) \ z = z / T(x,y). [para(5595(a,1),5087(a,1,1))]. 5870 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(135,a,5637,a)]. 5871 (x \ y) / (x \ T(y,x \ 1)) = K(x \ 1,y). [para(5637(a,1),5448(a,1,2))]. 5872 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(66,a,625,a(flip),b,5682,a)]. 5874 K(x,y) = (1 / (y * x)) * (x * y). [hyper(285,a,4955,a,b,5872,a),flip(a)]. 5875 K(x,y) / (x * y) = 1 / (y * x). [hyper(123,a,5872,a,b,4955,a)]. 5876 T(x * y,(y * x) \ 1) = ((y * x) \ 1) \ K(x,y). [hyper(122,a,5872,a,b,116,a),flip(a)]. 5877 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(122,a,5872,a,b,151,a(flip)),flip(a)]. 5880 (x * y) * ((y * x) * (1 / (x * y))) = (((x * y) \ 1) \ 1) * K(y,x). [para(5872(a,2),2912(a,1,2)),flip(a)]. 5882 (1 / ((x \ y) * x)) * y = K(x,x \ y). [hyper(285,a,152,a(flip),b,5874,a)]. 5883 ((1 / (x * y)) * y) \ K(y,x) = L(x,y,(x * y) \ 1). [hyper(122,a,5874,a,b,3667,a)]. 5885 (x * y) * ((y * x) * (1 / (x * y))) = T(y * x,(x * y) \ 1). [para(5875(a,1),3832(a,1,2,2))]. 5886 K(x \ (1 / y),T(x,x \ (y \ 1))) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4856(a,1),5875(a,2,2))]. 5887 T(x \ T(x * y,y),z) / T(y,z) = K(x * y,T(y,z)). [para(5373(a,2),5721(a,1,1,1))]. 5888 T(R(x,y,x),z) / T(T(x,y),z) = K(x * y,T(T(x,y),z)). [para(5367(a,1),5721(a,1,1,1))]. 5889 T(T(x * K(y,x),z),u) / T(T(x,z),u) = K(y,T(T(x,z),u)). [para(5595(a,1),5721(a,1,1,1))]. 5890 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5722(a,1),240(a,1,2)),flip(b)]. 5892 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) = K(z,T(x \ 1,y)). [para(3224(a,1),5722(a,1,2,1))]. 5893 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5785(a,1),5722(a,1,2,1,2))]. 5894 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5595(a,1),5724(a,1,1,1))]. 5895 (x \ y) \ (K(x \ y,x) * z) = (y / x) \ z. [hyper(66,a,5535,a,b,5737,a)]. 5899 K(x \ y,x) * K(x \ y,z) = (y / x) \ T(x \ y,z). [para(5125(a,2),5737(a,1,2))]. 5900 K(x,y) * T(x,z) != x * u | K(x,y) * K(x,z) = u. [para(5742(a,1),46(a,1))]. 5905 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5749(a,1),5453(a,1,2)),flip(b)]. 5906 (x / (x / y)) * ((x / y) * z) = y * ((y \ x) * z). [para(5749(a,1),5098(a,2,2))]. 5907 (x * K((x / y) \ 1,x)) / ((x \ y) * x) = x / y. [para(90(a,1),5783(a,1,2,1,2))]. 5908 T(x,T(T(x,y) * y,z)) = K(T(x * y,z),x) \ x. [para(5791(a,1),5142(a,2,1))]. 5909 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(41,a,1345,a(flip),b,5829,a),flip(a)]. 5910 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [para(16(a,1),5829(a,1,2,1,1,1))]. 5913 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [hyper(124,a,5840,a(flip),b,97,a),flip(a)]. 5914 ((x \ 1) \ (x \ y)) / (x \ y) = (y / x) \ ((x \ 1) \ (x \ y)). [para(5421(a,1),5845(a,1,1)),flip(a)]. 5916 ((x * L(y,x,z)) \ (z * (x * y))) \ R(z,x,L(y,x,z)) = K(x * L(y,x,z),R(z,x,L(y,x,z))). [para(854(a,1),5137(a,1,1))]. 5917 K(x * (y / x),L(x,z,u)) = L(x,z,u) / L(T(x,y),z,u). [para(4181(a,1),5160(a,1,2,1)),flip(a)]. 5918 R(T(x,y),z,u) / R(T(T(x,w),y),z,u) = K(w,R(T(x,y),z,u)). [para(28(a,1),5161(a,1,2,1))]. 5919 (R(T(x,y),z,u) * (z * u)) / ((x * z) * u) = R(K(R(x,z,u),y),R(x,z,u),z * u). [para(5258(a,1),494(a,1,1)),flip(a)]. 5920 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(38,a,5039,a,b,5272,a),flip(a)]. 5922 (x * y) * K(L(z,u,w),z \ 1) = x * (y * K(z,z \ 1)). [para(5920(a,2),4797(a,1,2))]. 5923 K(R(x \ (y / z),x,y / (y / z)),x) = K(((z \ y) * z) / (x * (y / (y / z))),x). [para(4741(a,1),5326(a,2,1,1))]. 5925 R(x * K(y,x),y,x) = x * K(y * x,x). [hyper(285,a,5149,a(flip),b,5379,a),flip(a)]. 5926 ((x * K(y,x)) * y) / L(x,y,x * K(y * x,x)) = (R(x * K(y,x),y,x) * y) / x. [para(5925(a,1),1575(a,1,2,3))]. 5927 R(x / (x / y),y \ x,y) = y * K((y \ x) * y,y). [para(5073(a,2),5925(a,1,1))]. 5928 R(x * K(y,x),y,x) = x * K(x * y,x). [para(5785(a,1),5925(a,2,2))]. 5929 R(T(x * K(y,x),z),y,x) = T(x * K(x * y,x),z). [para(5928(a,1),32(a,2,1))]. 5930 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5396(a,2),4229(a,1,1))]. 5931 K(x,y) * z != u * w | u \ (K(y,x) \ z) = w. [para(84(a,1),5455(a,1,2))]. 5941 R(x / K(y,z),K(y,z),K(z,y)) = x * K(z,y). [hyper(291,a,5460,a),flip(a)]. 5944 T(x,y) \ (x * z) != u * w | u \ (K(x,y) \ z) = w. [para(5544(a,2),5931(a,1))]. 5945 R(T(x / K(y,z),u),K(y,z),K(z,y)) = T(x * K(z,y),u). [para(5941(a,1),32(a,2,1))]. 5946 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(5125(a,2),5164(a,1,1))]. 5948 (x * y) * K(z,L(u,y,x) \ 1) = x * (y * K(z,u \ 1)). [hyper(124,a,5946,a(flip),b,23,a(flip))]. 5949 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(90(a,1),5946(a,1,1,2)),flip(a)]. 5950 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(4596(a,1),5946(a,1,1)),flip(a)]. 5951 R(x,L(K(x,y),z,u),w) = x. [para(5949(a,1),4448(a,1,2))]. 5952 (x * L(K(x,y),z,u)) * w = x * (L(K(x,y),z,u) * w). [para(5951(a,1),112(a,1,1)),flip(a)]. 5953 L(K(x,y \ z),y \ z,y) = K(x,(z \ y) \ 1). [para(357(a,1),5950(a,1,2,1)),flip(a)]. 5954 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5950(a,1),5334(a,1,1)),flip(a)]. 5955 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5950(a,1),5946(a,1,1)),flip(a)]. 5956 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(124,a,5953,a(flip),b,104,a),flip(a)]. 5957 T((x / y) * K(z,x / y),y) = (y \ x) * K(z,y \ x). [hyper(285,a,5149,a(flip),b,5386,a),flip(a)]. 5960 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5393(a,1),630(a,1,1))]. 5961 K(x \ 1,y) * (K(x \ 1,x) * z) = (T(x \ 1,y) * x) * z. [para(5415(a,1),4776(a,1,1)),flip(a)]. 5962 K(x \ 1,x) * (y * K(x \ 1,z)) = y * (T(x \ 1,z) * x). [para(5415(a,1),4844(a,2,2))]. 5963 (K(x,y) / y) / (K(z \ 1,z) / T(y,x)) = K(z,z \ 1). [para(3655(a,1),5462(a,1,2))]. 5964 (K(x,y) / y) / (K(z \ u,u \ z) / T(y,x)) = K(u \ z,z \ u). [para(3661(a,1),5462(a,1,2))]. 5965 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(66,a,1416,a(flip),b,5491,a)]. 5966 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(90(a,1),5491(a,1,2,2,1,2))]. 5967 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(116(a,1),5491(a,1,2))]. 5969 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(5126(a,1),5493(a,1,1))]. 5970 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,4413,a(flip),b,5969,a),flip(a)]. 5972 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(113(a,1),5969(a,2,1,1))]. 5973 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3341(a,1),5969(a,1,1)),flip(a)]. 5974 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(704(a,1),5970(a,1,1,1))]. 5975 K(x,R(y \ 1,z,u) \ 1) = R(K(y,x),z,u) \ 1. [para(5973(a,1),5320(a,1,1)),flip(a)]. 5976 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5973(a,1),5334(a,1,1)),flip(a)]. 5977 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(5126(a,1),5494(a,1,1))]. 5978 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(5171(a,1),5494(a,1,1))]. 5979 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [hyper(124,a,5977,a(flip),b,23,a(flip))]. 5980 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1593(a,1),5977(a,1,1)),flip(a)]. 5981 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3341(a,1),5977(a,1,1)),flip(a)]. 5982 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(5977(a,1),4621(a,1,1))]. 5983 K(L(K(x,y),z,u) \ 1,w) = L(K(K(y,x),w),z,u). [para(5320(a,1),5977(a,1,1,1)),flip(a)]. 5985 T(x * K(L(y \ 1,z,u) \ 1,x),w) = T(x,w) * L(K(y,T(x,w)),z,u). [hyper(124,a,5981,a(flip),b,5722,a),flip(a)]. 5986 K(x,L(y \ 1,z,u) \ 1) = L(K(y,x),z,u) \ 1. [para(5981(a,1),5320(a,1,1)),flip(a)]. 5987 K(x,x \ L(K(y,x),z,u)) = K(x,x \ 1). [para(5981(a,1),5559(a,1,2,2))]. 5988 K(x,L(y \ 1,z,u) \ 1) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5981(a,1),5728(a,2,2,1))]. 5989 K(x,x \ 1) / (L(K(y,x),z,u) / x) = 1 / (x \ L(K(y,x),z,u)). [hyper(123,a,5987,a(flip),b,5560,a)]. 5990 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [hyper(124,a,5498,a,b,838,a(flip))]. 5991 (x \ y) * T((x \ y) \ (x \ 1),z) = x \ K(y \ 1,z). [para(15(a,1),5498(a,1,2,1,1)),flip(a)]. 5994 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(838(a,1),5504(a,1,2))]. 5996 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5501(a,2),5504(a,1,2))]. 5997 1 / (x * K(y,x)) = K(y,x) \ (1 / x). [para(5342(a,1),5604(a,1,1)),flip(a)]. 5998 T(x,x * y) \ ((y * x) * K(x,y * x)) = T(y,x). [para(4182(a,1),5608(a,1,1))]. 5999 T(T(x,y),z) * (T(x,z) \ y) = y * K(T(x,z),y). [hyper(138,a,5609,a)]. 6000 x * (y * K(x \ 1,x * y)) = L(y / (x \ 1),x \ 1,x). [hyper(124,a,5613,a(flip),b,404,a)]. 6001 K(x \ y,y \ x) * K((y \ x) \ 1,z) = T((y \ x) \ 1,z) * (y \ x). [para(2618(a,1),5629(a,1,1))]. 6002 K(x / y,T(x,z)) = K(y \ x,T(x,z)). [hyper(5479,a,5690,a),flip(a)]. 6004 K((x \ y) \ y,T(y,z)) = K(x,T(y,z)). [para(87(a,1),6002(a,1,1)),flip(a)]. 6005 K(T(x \ y,x),T(y,z)) = K(x \ y,T(y,z)). [para(4111(a,2),6004(a,1,1))]. 6006 K(x,(y / z) \ 1) * z = y * ((x * (y \ z)) / x). [hyper(136,a,5693,a)]. 6007 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(5166(a,1),5694(a,1,1)),flip(a)]. 6009 T(K(x,y \ 1),L(K(y,z),u,w)) = K(x,y \ 1). [para(3366(a,1),6007(a,1,2,1)),flip(a)]. 6010 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(4596(a,1),6007(a,2,1))]. 6012 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(6007(a,1),5180(a,1,2))]. 6013 K(x,R(T(K(x,y),z),u,w)) = 1. [para(6010(a,1),3370(a,1,2,1))]. 6014 K(x,L(T(y \ 1,z),u,w) \ 1) = L(T(K(x,y),z),u,w). [para(6010(a,1),5946(a,1,1)),flip(a)]. 6017 K(x,y) * (x \ K(z,x)) = (T(x,z) \ 1) * K(x,y). [para(5134(a,1),5703(a,1,2))]. 6018 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(5031(a,1),5754(a,1,2))]. 6019 x \ (((x * y) \ z) \ z) = y * K((y \ (x \ 1)) \ 1,(x * y) \ z). [hyper(66,a,278,a(flip),b,5819,a)]. 6020 T(x * R(x \ (x * y),z,u),x) = x * R(y * K((y \ (x \ 1)) \ 1,x),z,u). [para(5819(a,1),1640(a,2,2,1))]. 6021 T(x \ T(x * y,y),z) / T(y,z) = K((y \ (x \ 1)) \ 1,T(y,z)). [para(5819(a,2),5721(a,1,1,1))]. 6022 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5320(a,1),5820(a,1,2,2,1,1,2))]. 6023 (((x * (y * x)) / x) / y) * ((((x * (y * x)) / x) / T(x,x * y)) * z) = T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z). [para(4191(a,1),5906(a,1,1,2))]. 6024 (x * K(x \ y,x)) / ((x \ y) * x) = x / y. [para(5833(a,1),5907(a,1,1,2))]. 6025 (x / (x / y)) / ((y \ x) * y) = y / x. [para(5073(a,2),6024(a,1,1))]. 6026 (x / y) \ (y / (y / x)) = (x \ y) * x. [hyper(180,a,6025,a)]. 6027 T(x,T(T(x,y) * y,z)) = T(x,T(x * y,z)). [hyper(285,a,5142,a,b,5908,a),flip(a)]. 6028 K(R(x,y,z),T(T(x,u) * u,w)) = R(T(x,T(x * u,w)),y,z) / R(x,y,z). [para(6027(a,1),5258(a,1,1,1)),flip(a)]. 6029 (x * y) * T((x * y) \ y,z) != u | K(x \ 1,z) * y = u. [para(5910(a,1),240(a,1,2)),flip(b)]. 6030 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3319(a,1),5910(a,1,2,1)),flip(a)]. 6031 (((x \ 1) * y) \ y) * (x \ L(y,x \ 1,x)) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(404(a,2),5913(a,1,2))]. 6032 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(66,a,5950,a(flip),b,5986,a),flip(a)]. 6033 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(185,a,6032,a)]. 6034 L(K(x,y),z,u) != w \ 1 | L(K(y,x),z,u) = w. [para(6032(a,1),51(a,1))]. 6035 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6032(a,1),297(a,1,2)),flip(b)]. 6036 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6033(a,1),307(a,1,1)),flip(b)]. 6040 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(90(a,1),5996(a,1,2,1,1))]. 6041 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3341(a,1),5996(a,1,2,1))]. 6042 T(x,x * y) \ ((x * (y * x)) / x) = T(y,x). [para(5149(a,2),5998(a,1,2))]. 6043 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [hyper(285,a,5695,a,b,6006,a),flip(a)]. 6044 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(87(a,1),6006(a,1,1,2,1))]. 6045 (T(x,y) \ 1) * K(x,z) = T(x,y) \ K(x,z). [hyper(66,a,5848,a(flip),b,6017,a),flip(a)]. 6046 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5708(a,1),6043(a,1,1)),flip(a)]. 6047 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(225,a,6046,a)]. 6049 (x * K(y,y \ z)) \ (x * (z / y)) = L(y \ z,K(y,y \ z),x). [para(15(a,1),5427(a,1,2,2,1))]. 6050 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5335(a,2),5443(a,1,2))]. 6051 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(205(a,2),5706(a,1,2))]. 6052 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(205(a,1),5720(a,2,3))]. 6053 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(37,a,5034,a(flip),b,5795,a),flip(a)]. 6054 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(6053(a,2),4784(a,1,2))]. 6057 R(x,y,z) / R(x * K(u,x),y,z) = K(R(x,y,z),u). [para(5798(a,1),5345(a,1,2))]. 6059 T(x \ 1,y) \ T(x \ K(z,x \ 1),y) != u | K(z,T(x \ 1,y)) = u. [para(3224(a,1),5865(a,1,2,1))]. 6060 (1 / L(x,y,(x * y) \ 1)) * ((K(y,x) \ ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),1479(a,1,1,2))]. 6063 (x \ y) * R(y / (y / x),x \ y,x) = T((x \ y) * x,x). [hyper(124,a,5927,a,b,5373,a)]. 6064 K(R(x,y,z),T(x,u) * u) = R(x,y,z) / R(x * K(x * u,x),y,z). [para(5789(a,1),6057(a,1,2,1,2)),flip(a)]. 6065 K(x * y,(x * y) \ 1) = K(x * y,y \ (x \ 1)). [hyper(37,a,1965,a,b,5204,a)]. 6066 K(x * y,(x * y) \ 1) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),2398(a,2,2))]. 6068 K(x * y,y \ (x \ 1)) * (y * x) = (((x * y) \ 1) \ 1) * K(y,x). [para(6065(a,1),2895(a,1,1))]. 6069 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,(x * y) \ 1). [para(6065(a,1),3686(a,1,1))]. 6070 (x * K(y * z,z \ (y \ 1))) * u = (x * u) * K(y * z,(y * z) \ 1). [para(6065(a,1),3638(a,1,1,2))]. 6071 T(x * K(x * y,x),z) * y = y * R(T(x,z),y,x). [para(5929(a,1),5249(a,1,1))]. 6072 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(224,a,6071,a,b,xx)]. 6074 T(T(x * K(y * x,x),z),y) = R(T(x,z),y,x). [para(5785(a,2),6072(a,1,1,1,2))]. 6075 R(T(x,y),z,x) * (z * x) = (z * x) * T(T(x,y),z). [para(6074(a,1),5248(a,1,1))]. 6076 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(592,a,6075,a)]. 6077 T(L(L(x * K(y,x),y,x),z,u) * y,x * K(y,x)) = L(x * K(y,x),z,u) * T(y,x). [para(5253(a,1),4480(a,1,1,1,1))]. 6078 (T(x,y) * (1 / x)) * (z * K(x \ 1,x)) = K(x,y) * z. [hyper(4846,a,5417,a),flip(a)]. 6079 x * K(T(y,x) \ 1,z) = K(y \ 1,z) * x. [hyper(66,a,5503,a(flip),b,5505,a),flip(a)]. 6080 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [hyper(224,a,5503,a(flip),b,5505,a(flip)),flip(a)]. 6081 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(90(a,1),6080(a,2,1,1))]. 6082 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3341(a,1),6080(a,2,1))]. 6083 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6081(a,1),5977(a,1,1)),flip(a)]. 6084 K(L(T(x \ 1,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(6082(a,1),5977(a,1,1)),flip(a)]. 6086 K(x,y) * (K(x,y) * z) = y * (T(T(y,x),x) \ z). [para(5634(a,1),5551(a,1,2)),flip(a)]. 6087 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(285,a,4241,a(flip),b,5577,a),flip(a)]. 6088 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(285,a,4242,a(flip),b,5578,a),flip(a)]. 6090 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(5166(a,1),5692(a,1,1))]. 6091 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(4477,a,6090,a),flip(a)]. 6092 K(R(x,y,z) \ 1,u \ 1) = K(x \ 1,R(u,y,z) \ 1). [hyper(66,a,5969,a(flip),b,6090,a)]. 6093 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,6090,a),flip(a)]. 6094 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(4596(a,1),6090(a,1,1)),flip(a)]. 6095 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5708(a,1),6090(a,1,1)),flip(a)]. 6096 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(36(a,1),6091(a,1,2,1))]. 6097 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(66,a,5975,a(flip),b,6094,a)]. 6098 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(66,a,5712,a(flip),b,6095,a),flip(a)]. 6099 R(K(x,y / z),y,y \ 1) = K(x,(z * (y \ 1)) \ 1). [para(488(a,1),6095(a,1,2,1)),flip(a)]. 6100 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(461(a,1),6095(a,1,2)),flip(a)]. 6101 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(17(a,1),6098(a,2,2,1))]. 6102 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(17(a,1),6098(a,2,2,2))]. 6103 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(87(a,1),6098(a,1,1,2)),flip(a)]. 6104 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6103(a,1,2))]. 6105 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(14(a,1),6104(a,1,2,2)),flip(a)]. 6106 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(176(a,1),6104(a,1,2,2)),flip(a)]. 6107 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(66,a,5969,a(flip),b,6105,a)]. 6108 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6105(a,1),32(a,2,1))]. 6109 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(495(a,1),6096(a,1,2,1)),flip(a)]. 6110 K(x,((y \ z) * (z \ 1)) \ 1) = R(K(x,y),z,z \ 1). [para(87(a,1),6099(a,1,1,2)),flip(a)]. 6111 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [hyper(66,a,2043,a(flip),b,5698,a)]. 6112 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5698(a,1),2073(a,1,1)),flip(a)]. 6113 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [hyper(66,a,1179,a(flip),b,5699,a)]. 6115 (T(x * K(y,x),z) * u) / (T(x,z) * u) = K(y,T(x,z)). [hyper(123,a,5732,a(flip),b,4427,a)]. 6116 x / (y * (z * (u * T(u \ (z \ (y \ x)),w)))) = K(w,x / (y * (z * u))). [para(830(a,1),5753(a,1,2,2))]. 6117 x / (y * (((z \ ((y \ x) * u)) * z) / u)) = K(z,x / (y * (z / u))). [para(1414(a,1),5753(a,1,2,2))]. 6118 ((x * y) * z) / (x * (z * T(z \ (x \ ((x * y) * z)),u))) = K(u,R(y * K(x,y),x,z)). [para(5379(a,2),5753(a,2,2))]. 6119 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(32(a,2),5818(a,2,2))]. 6120 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5865,a,5893,a),flip(a)]. 6121 K(x * y,T(y,z)) != u | K(y * x,T(y,z)) = u. [para(5893(a,1),5865(a,1))]. 6122 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6120(a,1),4346(a,1))]. 6123 (1 / x) \ T(x \ 1,y) = T(x \ 1,y) * x. [hyper(66,a,5629,a(flip),b,5899,a),flip(a)]. 6124 x * T(x \ (T(x \ 1,y) * x),z) = (1 / x) \ T(T(x \ 1,y),z). [para(6123(a,1),892(a,1,2,1,2))]. 6125 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(135,a,5909,a),flip(a)]. 6126 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5981(a,1),5954(a,1,1)),flip(a)]. 6127 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(305,a,6126,a),flip(a)]. 6128 L(K(x,y),z,u) \ K(x,w) = K(x,w) * L(K(y,x),z,u). [hyper(285,a,2238,a(flip),b,6126,a),flip(a)]. 6129 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6127(a,1),304(a,1,2)),flip(b)]. 6130 ((x / y) * K(z,x / y)) * y = y * ((y \ x) * K(z,y \ x)). [hyper(124,a,5957,a(flip),b,27,a(flip)),flip(a)]. 6131 K(T(x / y,z),T(x / y,z) \ 1) = (K(u,w) / w) / (K(x \ y,y \ x) / T(w,u)). [para(3464(a,1),5963(a,1,2,1)),flip(a)]. 6132 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5497(a,1),5965(a,1,1))]. 6133 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6094(a,1),5976(a,1,1)),flip(a)]. 6134 R(K(x,y),z,u) * (R(K(y,x),z,u) * w) = w. [hyper(305,a,6133,a),flip(a)]. 6135 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(185,a,6133,a)]. 6136 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(123,a,176,a(flip),b,6133,a(flip))]. 6137 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6133(a,2),132(a,1)),flip(b)]. 6138 R(K(x,y),z,u) \ w != v5 | R(K(y,x),z,u) * w = v5. [para(6134(a,1),304(a,1,2)),flip(b)]. 6139 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(196,a,6136,a)]. 6141 (x * y) / (((z \ x) * z) * y) = R(K(z,z \ x),x,y). [para(5101(a,1),6136(a,1,2,1))]. 6142 (x * y) / ((z * (x / z)) * y) = R(K(z \ x,z),x,y). [para(5197(a,1),6136(a,1,2,1))]. 6143 R(K(x,x \ (y / z)),y / z,z) = y / (((x \ (y / z)) * x) * z). [hyper(66,a,153,a(flip),b,6141,a),flip(a)]. 6144 K(((x \ y) * ((x \ 1) \ 1)) \ 1,z) = (x \ K(y \ 1,z)) * ((x \ 1) \ 1). [para(5991(a,1),5965(a,1,1)),flip(a)]. 6145 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(285,a,5910,a(flip),b,6030,a),flip(a)]. 6146 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = K(x,y) * ((x \ 1) * z). [para(3744(a,1),6078(a,1,2))]. 6147 K(x,L(T(y \ 1,z),u,w) \ 1) * v5 = L(T(K(y,x),z),u,w) \ v5. [para(6084(a,1),5334(a,1,1)),flip(a)]. 6148 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(6044(a,2),6113(a,1,2))]. 6149 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(14(a,1),6148(a,1,2,2)),flip(a)]. 6152 (x \ 1) * (K(y,(x \ 1) \ 1) * z) = K(y,x) * ((x \ 1) * z). [para(4596(a,1),6149(a,1,1)),flip(a)]. 6153 K(x,y) * (L(K(x,z),u,w) \ 1) = L(K(x,z),u,w) \ K(x,y). [para(6032(a,2),6128(a,2,2)),flip(a)]. 6154 ((K(x,y) * z) * (z \ x)) / T(T(x,y),a(K(x,y),z,z \ x)) = a(K(x,y),z,z \ x). [hyper(123,a,5284,a(flip),b,116,a)]. 6155 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ (x * 1)),z). [para(5298(a,1),1833(a,1,2))]. 6156 ((1 / (x * y)) * (x * y)) / L(x,y * K(x,y),1 / (x * y)) = a((x * y) \ 1,(x * y) / x,x) / x. [hyper(285,a,3939,a,b,5384,a),flip(a)]. 6157 (x * y) \ (y * (T(x,y) * z)) = L(z,x,y * K(x,y)). [para(5219(a,1),5431(a,1,2,2))]. 6158 L(x,y,z * K(y,z)) = L(x,T(y,z),z). [hyper(767,a,6157,a),flip(a)]. 6159 (T(x * y,z) * L(u,y,x)) \ (K(x * y,z) * ((x * y) * u)) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5536(a,1),456(a,1,1))]. 6160 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(6138,a,5652,a)]. 6163 ((1 / x) * y) \ K(y \ x,y) = T(((1 / x) * y) \ 1,y). [hyper(285,a,697,a,b,5680,a),flip(a)]. 6164 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(4639(a,1),5755(a,1,1,1))]. 6165 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(T(x,z),y)). [para(32(a,2),5888(a,1,1))]. 6166 K(x * (y / x),L(x,z,u)) = K(y,L(x,z,u)). [hyper(285,a,5160,a(flip),b,5917,a),flip(a)]. 6168 K(((x * y) / (z * y)) \ 1,u) * (z * y) = (K((x / z) \ 1,u) * z) * y. [para(5972(a,1),112(a,1,1))]. 6170 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(5833(a,1),5972(a,1,1))]. 6171 R(K(x,y),y * x,z) = K(((y * z) / ((y * x) * z)) \ 1,y). [para(14(a,1),6170(a,1,1,1))]. 6172 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(4787,a,5979,a),flip(a)]. 6173 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,(x \ 1) \ 1). [hyper(37,a,5922,a,b,5979,a)]. 6174 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5979(a,1),46(a,1)),flip(a)]. 6175 (x * y) * K(((x * y) \ z) \ 1,u) = x * (y * K((y \ (x \ z)) \ 1,u)). [para(268(a,1),5979(a,1,2,1,1))]. 6176 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [hyper(124,a,6172,a(flip),b,1252,a)]. 6177 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(6176(a,1),2647(a,1,1))]. 6178 (L(x / ((y \ 1) \ 1),(y \ 1) \ 1,y \ 1) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(6000(a,1),4314(a,1,1,1))]. 6179 x * (y * T(y \ (x \ y),z)) != u | K(x \ 1,z) * y = u. [para(830(a,1),6029(a,1))]. 6180 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(6053(a,2),6054(a,2,2,2))]. 6181 R(x / (x / y),y \ x,y) = y * K(x,y). [hyper(37,a,5405,a,b,6063,a),flip(a)]. 6182 R(K(x * y,y \ (x \ 1)),z,u) = K(x * y,y \ (x \ 1)). [hyper(285,a,6065,a(flip),b,6069,a),flip(a)]. 6184 x / (R(K(y,z),u,(K(y,z) * u) \ 1) * x) = u * ((K(y,z) * u) \ 1). [hyper(66,a,6135,a,b,6139,a)]. 6185 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(285,a,4791,a(flip),b,6164,a),flip(a)]. 6186 x * K(((x * ((x * y) \ x)) / ((x * y) * ((x * y) \ x))) \ 1,x) = (K(y,x) * (x * y)) * ((x * y) \ x). [para(6171(a,1),3189(a,1,2))]. 6187 x * (T(y,x) * T(y \ (x \ y),z)) != u | K(x \ 1,z) * T(y,x) = u. [para(5601(a,1),6179(a,1,2,2,1))]. 6188 R(T(x,y) * K(T(y * L(x,z,u),T(x,y)),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1579(a,1),5096(a,1,1,1,2,1))]. 6189 K(x \ y,x) * ((y \ 1) \ 1) = T((x \ y) * x,y \ 1). [hyper(285,a,4938,a(flip),b,5104,a),flip(a)]. 6191 (x \ 1) * L(T(T(x,y),x \ 1),z,u) = x \ L(T(x,y),z,u). [para(5414(a,2),5215(a,1,2,1))]. 6192 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(5256(a,2),5286(a,1,2,1))]. 6193 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(5150(a,1),6192(a,1,2,1)),flip(a)]. 6194 x * (K(x,y) * L(x \ K(y,x),z,u)) = T(x * L(x \ 1,z,u),y). [hyper(66,a,5152,a,b,5306,a)]. 6195 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1628,a,5378,a),flip(a)]. 6196 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(684(a,1),5506(a,1,1))]. 6197 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(5126(a,1),6196(a,1,1,2))]. 6199 x \ ((y * x) * K(x \ 1,z)) = T(y * K(x \ 1,z),x). [hyper(224,a,6197,a,b,15,a),flip(a)]. 6200 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(123,a,150,a(flip),b,6197,a)]. 6201 ((x * y) * K(y \ 1,z)) / (K(y \ 1,z) * y) = R(x,K(y \ 1,z),y). [hyper(123,a,6197,a(flip),b,112,a)]. 6204 T((x / y) * K(y \ 1,z),y) = y \ (x * K(y \ 1,z)). [para(6200(a,1),118(a,1,1))]. 6205 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(5131(a,1),6200(a,1,1)),flip(a)]. 6206 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(128,a,6205,a)]. 6207 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(66,a,3441,a,b,6206,a)]. 6208 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(16(a,1),6207(a,1,2,2))]. 6209 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(66,a,3339,a,b,6208,a)]. 6210 (((1 / x) \ y) \ y) * x = K(x \ 1,y * x). [hyper(66,a,5628,a(flip),b,6208,a)]. 6211 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [hyper(124,a,6209,a(flip),b,5408,a)]. 6212 T(1 / x,y * x) = ((1 / x) \ y) \ y. [hyper(38,a,5492,a,b,6210,a)]. 6213 R(T(1 / x,y * x),x,y) = (x * y) \ y. [para(6212(a,2),4835(a,1,1))]. 6214 T(R(1 / x,x,y),y * x) = (x * y) \ y. [hyper(66,a,32,a(flip),b,6213,a)]. 6215 x \ ((y * x) * K(x \ 1,x)) = x * (T((x \ 1) \ 1,y) \ y). [hyper(285,a,4571,a(flip),b,6199,a),flip(a)]. 6216 T(x,x \ y) / (y \ x) = (((y \ x) \ 1) \ y) * ((y \ x) \ 1). [hyper(285,a,2979,a(flip),b,5593,a),flip(a)]. 6217 (T(x,y) * y) / ((T(x,y) * y) / x) = x * K(y,x). [para(5335(a,1),5650(a,2,2))]. 6219 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(5523(a,1),5685(a,1,1,2)),flip(a)]. 6220 (1 / x) * T(K(x \ 1,y),z) = T(K(x \ 1,y),z) / x. [para(5492(a,1),5702(a,1,1,1)),flip(a)]. 6221 T(K(x \ 1,y),z) \ (T(K(x \ 1,y),z) / x) = 1 / x. [hyper(122,a,6220,a(flip),b,3365,a)]. 6222 (T(K(x \ 1,y),z) * (((1 / x) \ 1) \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(6221(a,1),2524(a,1,1,2,1,1))]. 6223 T(T(x,y),z) \ T(T(x,u),z) = K(y,T(x,z)) * K(T(x,z),u). [para(28(a,1),5747(a,1,1))]. 6224 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1427(a,1),5827(a,1,1))]. 6225 R(T(x,y),z,x) / T(T(x,y),z) = K(z * x,T(T(x,y),z)). [para(6074(a,1),5889(a,1,1))]. 6226 R(x,x \ 1,(x \ 1) \ (x \ y)) = (y / x) \ ((x \ 1) \ (x \ y)). [hyper(66,a,502,a,b,5914,a)]. 6227 ((K(x \ 1,x) * y) * K(x \ 1,z)) \ ((T(x \ 1,z) * x) * y) = K(K(x \ 1,z),K(x \ 1,x) * y). [hyper(122,a,5961,a(flip),b,96,a)]. 6228 ((T(x \ 1,y) * x) * z) \ ((K(x \ 1,x) * z) * K(x \ 1,y)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(5961(a,1),21(a,2,1)),flip(a)]. 6229 (K(x \ 1,x) * y) * K(x \ 1,z) = y * (T(x \ 1,z) * x). [hyper(66,a,3646,a,b,5962,a)]. 6230 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5497(a,2),6022(a,1,2))]. 6231 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(90(a,1),6040(a,2,1,1))]. 6232 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(14(a,1),6231(a,1,2,2)),flip(a)]. 6234 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(123,a,6232,a,b,xx)]. 6235 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(122,a,6232,a,b,116,a)]. 6238 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3341(a,1),6041(a,2,1))]. 6239 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(27(a,2),6238(a,1,2,2))]. 6240 (x * K(y * z,z \ (y \ 1))) / ((y * z) \ x) = ((y * z) \ 1) \ 1. [hyper(123,a,6066,a(flip),b,2893,a)]. 6241 K(x * y,y \ (x \ 1)) * z = z * K(x * y,y \ (x \ 1)). [para(6065(a,1),6066(a,1,1))]. 6242 K(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). [para(4250(a,1),6087(a,1,2))]. 6243 K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). [para(4250(a,1),6088(a,1,2))]. 6244 (x * K(y,(x \ z) \ 1)) / z = (x / z) * K(y,x / z). [hyper(123,a,5956,a(flip),b,6130,a)]. 6245 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(337,a,6132,a)]. 6246 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(4596(a,1),6152(a,1,2,1)),flip(a)]. 6247 K(x,y) * ((y \ 1) * (z * K(y,x))) = (y \ 1) * T(z,K(y,x)). [para(5361(a,1),6246(a,2,2))]. 6249 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [hyper(384,a,6191,a)]. 6250 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(5327(a,1),6195(a,1,2)),flip(a)]. 6251 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(285,a,5372,a(flip),b,6250,a),flip(a)]. 6252 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(15(a,1),6251(a,1,1,1)),flip(a)]. 6253 x * (T((x \ 1) \ 1,y) \ y) = x \ (y * (1 / (1 / x))). [para(2853(a,1),6215(a,1,2)),flip(a)]. 6254 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(39,a,5448,a,b,6219,a(flip))]. 6256 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(128,a,6230,a)]. 6257 T(K(x,y) * z,u) != K(x,y) * w | K(y,x) * T(K(y,x) \ z,u) = w. [para(6230(a,1),46(a,1))]. 6258 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(414(a,1),6230(a,1,2)),flip(a)]. 6259 K(x,(y * z) / (y * (u \ z))) = (y * z) / (y * (K(u,x) * z)). [hyper(135,a,6254,a),flip(a)]. 6261 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1149(a,1),6254(a,1,1,2))]. 6262 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(6254(a,1),5454(a,1,2))]. 6263 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5452,a,6261,a),flip(a)]. 6264 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5360(a,1),6261(a,1,2,2)),flip(a)]. 6265 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(122,a,82,a(flip),b,6263,a),flip(a)]. 6266 (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [hyper(122,a,6265,a,b,1479,a)]. 6267 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(4483,a,6264,a)]. 6268 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6256(a,1),4922(a,1,1))]. 6269 T(x * K(y \ 1,y),z) = T(x,z) * K(y \ 1,y). [hyper(5026,a,6258,a)]. 6270 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6258(a,2),46(a,1))]. 6273 x \ T(y * K(z \ 1,z),u) = (x \ T(y,u)) * K(z \ 1,z). [para(6269(a,2),4785(a,1,2))]. 6274 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(14(a,1),6268(a,1,1,2,1)),flip(a)]. 6275 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6274(a,2),47(a,1))]. 6276 T(x * ((1 / (1 / y)) / x),K(z,y)) != y * u | (y \ 1) * (x * (y / x)) = u. [para(5068(a,2),505(a,1))]. 6277 R((x \ 1) / (y \ T(x \ 1,z)),y \ T(x \ 1,z),K(x,x \ 1)) = (1 / x) / (y \ T(1 / x,z)). [para(3928(a,1),5561(a,2,2))]. 6278 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5334(a,1),5621(a,1,1))]. 6279 K(L(x,y,x),y) = K(x,y). [hyper(5660,a,5371,a)]. 6280 K(T(x,x * y),y) = K(x,y). [hyper(66,a,5325,a,b,6279,a)]. 6281 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(1 / y,x \ y,x). [hyper(5464,a,5679,a)]. 6283 R(x * K(y,x),z,u) * (z * u) = K(y,R(x,z,u)) * ((x * z) * u). [hyper(4475,a,5809,a),flip(a)]. 6284 L(K(x,T(y,z)),T(y,z),z) = (y * z) \ ((y * K(x,y)) * z). [para(116(a,1),5866(a,1,2)),flip(a)]. 6285 R(T(K(x,y),y * z),y,z) = L(K(x,T(y,z)),T(y,z),z). [hyper(285,a,3211,a(flip),b,6284,a)]. 6286 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(285,a,345,a(flip),b,5980,a),flip(a)]. 6288 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1080(a,1),6286(a,1,2))]. 6289 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(59,a,6288,a)]. 6290 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(57,a,6289,a)]. 6291 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1242(a,2),6290(a,1,1))]. 6292 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6291(a,1),4311(a,1,2)),flip(a)]. 6293 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(285,a,2554,a(flip),b,6292,a),flip(a)]. 6294 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1242(a,1),6293(a,1,1))]. 6295 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(5063(a,2),6112(a,1,2))]. 6296 R((x \ y) * x,((x \ y) * x) \ 1,(((x \ y) * x) \ 1) \ K(x,x \ y)) = (y / ((x \ y) * x)) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)). [para(98(a,1),6226(a,1,3,2))]. 6297 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4188(a,1),6252(a,1,1)),flip(a)]. 6298 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(285,a,3997,a(flip),b,6297,a),flip(a)]. 6299 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(38,a,5406,a,b,6298,a),flip(a)]. 6300 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(285,a,5444,a,b,6299,a),flip(a)]. 6301 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4252(a,1),6300(a,1,2))]. 6302 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [hyper(180,a,6301,a)]. 6303 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5444(a,1),6302(a,1,1))]. 6304 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(5149(a,2),6303(a,1,1,2))]. 6305 K(x,x \ y) * (((1 / y) * (x \ y)) * x) = a(y \ 1,x \ y,x). [hyper(285,a,3935,a(flip),b,6281,a),flip(a)]. 6306 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(265,a,6295,a)]. 6307 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3826(a,1),6306(a,1,2)),flip(a)]. 6309 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(4596(a,1),6307(a,1,1,2))]. 6311 (x * K(y,z)) * y = x * T(y,z). [para(3029(a,1),6309(a,2,2))]. 6312 R(x,K(y,z),y) = x. [hyper(5282,a,6311,a)]. 6313 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(285,a,3193,a,b,6311,a),flip(a)]. 6315 x * T(y * K(x,z),x) = y * T(x,z). [hyper(264,a,6311,a)]. 6316 (x * T(y,z)) / y = x * K(y,z). [hyper(135,a,6311,a)]. 6317 (x * K(y,z)) \ (x * T(y,z)) = y. [hyper(128,a,6311,a)]. 6319 (x / T(y,z)) * K(y,z) = x / y. [hyper(123,a,17,a(flip),b,6311,a),flip(a)]. 6320 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(38,a,1224,a,b,6311,a),flip(a)]. 6321 (x / y) * T(y,z) = x * K(y,z). [hyper(38,a,1204,a,b,6311,a)]. 6322 (x * y) * K(y,z) = x * T(y,z). [hyper(38,a,1200,a,b,6311,a),flip(a)]. 6323 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6311(a,1),19(a,2,1,2)),flip(a)]. 6327 (T(x,y) \ 1) * y = (x \ 1) * T(y,x). [para(5128(a,1),6311(a,1,1))]. 6328 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6311(a,1),5788(a,1,2,1))]. 6329 R(x,R(K(y,z),u,w),y) = x. [para(6094(a,1),6312(a,1,2))]. 6330 (x * R(K(y,z),u,w)) * y = x * (R(K(y,z),u,w) * y). [para(6329(a,1),112(a,1,1)),flip(a)]. 6331 (x * K(y,z)) / T(y,z) = x / y. [hyper(123,a,6316,a(flip),b,1206,a(flip))]. 6332 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(122,a,6316,a(flip),b,1206,a(flip))]. 6333 x / y != z * K(y,u) | z * T(y,u) = x. [para(6316(a,1),49(a,1)),flip(a)]. 6334 L(x,K(x,y),z) = x. [hyper(5281,a,6317,a)]. 6335 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(66,a,6050,a(flip),b,6334,a)]. 6336 (x * K(y,z)) * (y * K(z,y)) = x * y. [hyper(124,a,6334,a(flip),b,6050,a(flip))]. 6337 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6334(a,1),410(a,1,2,1))]. 6338 (x * K(y,z)) * R(y,u,w) = x * (K(y,z) * R(y,u,w)). [para(6334(a,1),411(a,1,2,1))]. 6343 (x \ T(x * y,x)) * K(x,y) = T(x * y,x) / x. [para(4495(a,1),6319(a,1,1))]. 6344 x * T(x \ y,z) = y * K(x \ y,z). [hyper(315,a,6321,a)]. 6346 T(x,x \ T(y,z)) * K(y,z) = (x / y) * T(x * (y / x),z). [hyper(66,a,5028,a(flip),b,6321,a),flip(a)]. 6348 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(123,a,6321,a(flip),b,6311,a)]. 6349 x \ (y * T(y \ x,z)) = K(y \ x,z). [hyper(122,a,175,a(flip),b,6321,a(flip))]. 6351 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6321(a,1),882(a,1,2,1))]. 6352 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(5120(a,2),6321(a,1,1))]. 6353 R(x,y,K(y,z)) = x. [hyper(5213,a,6322,a)]. 6355 (K(x,x \ 1) * y) * K(y,z) = T(K(x,x \ 1) * y,z). [hyper(285,a,5023,a,b,6322,a),flip(a)]. 6357 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(224,a,6322,a,b,15,a),flip(a)]. 6358 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(128,a,6322,a)]. 6359 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(122,a,17,a(flip),b,6322,a)]. 6361 T(x,L(y,x,z) \ 1) = x * K(x,y \ 1). [hyper(37,a,5948,a(flip),b,6322,a(flip)),flip(a)]. 6362 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(6322(a,1),23(a,2,2,2)),flip(a)]. 6366 x * T(x \ y,z) != u | y * K(x \ y,z) = u. [para(6322(a,1),513(a,1))]. 6367 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6322(a,1),469(a,1,1))]. 6369 (x * R(R(x,y,K(y,z)) \ (x * y),u,w)) * K(y,z) = R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)). [para(6353(a,1),2528(a,1,1,1))]. 6372 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6332(a,1),5870(a,1,2))]. 6373 T(x,y) / ((z / x) \ T(z * K(x,y),(z / x) \ 1)) = K((z / x) \ 1,z * K(x,y)). [para(6332(a,1),5871(a,1,1))]. 6374 L(K(x,y),x,z) = K(x,y). [hyper(5212,a,6358,a)]. 6375 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6358(a,1),240(a,1,2)),flip(b)]. 6380 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(285,a,5320,a,b,6374,a),flip(a)]. 6382 L(R(K(x,y),z,u),x,w) = R(K(x,y),z,u). [para(6374(a,1),34(a,1,1)),flip(a)]. 6383 (x * y) * T(K(y,z),u) = x * (y * T(K(y,z),u)). [para(6374(a,1),413(a,1,2,1))]. 6384 (x \ 1) * T(K(x \ 1,y),z) = x \ T(K(x \ 1,y),z). [para(6374(a,1),504(a,1,2,1)),flip(a)]. 6385 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6374(a,1),506(a,1,2,1))]. 6388 L(K(x,y),y,z) = K(x,y). [hyper(6034,a,6380,a)]. 6389 L(K(x,y),x,z) != u | K(x,y) = u. [para(6380(a,2),5332(a,1))]. 6390 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(285,a,6388,a,b,6388,a)]. 6392 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(66,a,5953,a(flip),b,6388,a)]. 6393 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(124,a,6388,a(flip),b,106,a),flip(a)]. 6394 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(124,a,6388,a(flip),b,23,a(flip))]. 6395 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(6388(a,1),35(a,1,1)),flip(a)]. 6403 L(K(x,y),y,z) != u | K(x,y) = u. [para(6390(a,1),3653(a,1)),flip(b)]. 6404 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(5777,a,6392,a)]. 6406 T(K(x,y / z),y) = K(x,z \ y). [hyper(66,a,6047,a,b,6392,a)]. 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(14(a,1),6392(a,1,2,1)),flip(a)]. 6408 K(x,((y * z) \ y) \ 1) = K(x,z). [para(14(a,1),6392(a,2,2))]. 6409 K(x,y \ (y / z)) = K(x,z \ 1). [para(90(a,1),6392(a,1,2,1)),flip(a)]. 6410 K(x,L(y \ z,y,u) \ 1) = K(x,(u * z) \ (u * y)). [para(105(a,2),6392(a,1,2,1))]. 6411 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(657(a,1),6392(a,1,2,1)),flip(a)]. 6412 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,(T(y,z) * u) \ y). [para(993(a,1),6392(a,1,2,1))]. 6414 T(x \ y,K(z,y \ x)) = x \ y. [para(6392(a,1),2090(a,1,2))]. 6416 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5334(a,1),6392(a,1,2,1))]. 6417 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(6392(a,1),5946(a,1,1)),flip(a)]. 6418 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6392(a,1),5695(a,1,2))]. 6419 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6392(a,1),6043(a,2,2))]. 6420 K(x,y / z) * y = y * K(x,z \ y). [para(6392(a,1),6046(a,1,2)),flip(a)]. 6421 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6392(a,1),6090(a,1,1)),flip(a)]. 6422 (x * K(y,z \ x)) / z = (x / z) * K(y,x / z). [para(6392(a,1),6244(a,1,1,2))]. 6423 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(5953(a,1),6403(a,1))]. 6424 K(x,x / y) = K(x,y \ x). [hyper(66,a,3343,a(flip),b,6406,a)]. 6425 K(x,(y \ z) \ z) = T(K(x,y),z). [para(87(a,1),6406(a,1,1,2)),flip(a)]. 6427 K(x,K(y,x / z)) = K(x,K(y,z \ x)). [para(6406(a,1),5319(a,1,2)),flip(a)]. 6428 K(x,(y \ x) \ x) = K(x,y). [para(87(a,1),6424(a,1,2)),flip(a)]. 6429 K(x,x / (x / y)) = K(x,y). [para(90(a,1),6424(a,2,2))]. 6433 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5877(a,2,2))]. 6434 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(285,a,6388,a,b,6408,a)]. 6437 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [hyper(124,a,6414,a(flip),b,27,a(flip))]. 6439 K(x,T(y,y \ z)) = T(K(x,y),z). [para(117(a,2),6425(a,1,2))]. 6440 T(K(x,y),z * y) = K(x,T(y,z)). [para(4140(a,2),6425(a,1,2)),flip(a)]. 6441 T(K(x,y),y * z) = K(x,T(y,z)). [para(14(a,1),6439(a,1,2,2)),flip(a)]. 6442 T(K(x,y),z * y) = T(K(x,y),y * z). [hyper(285,a,6440,a,b,6441,a)]. 6443 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [hyper(124,a,6441,a(flip),b,27,a(flip))]. 6445 T(K(x \ 1,x) * K(y,x),y) = y \ T(y * K(x \ 1,x),x). [hyper(122,a,2430,a,b,6315,a),flip(a)]. 6447 x * T(y,z) != u | (x * K(y,z)) * y = u. [para(6315(a,1),263(a,1))]. 6453 (x * K(x \ y,z)) \ y = (x \ y) * K(z,x \ y). [para(15(a,1),6335(a,1,2))]. 6454 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(y \ (y * K(z,y)),u,w)). [para(6335(a,1),1667(a,1,2,2,1,2)),flip(a)]. 6455 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(((x * K(y,z)) \ (x * y)) \ y,u,w). [para(6335(a,1),1609(a,1,1)),flip(a)]. 6456 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(5730,a,6336,a)]. 6457 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(123,a,17,a(flip),b,6336,a)]. 6459 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5847,a,6344,a),flip(a)]. 6460 T(K(x / y,z),x) = K(y \ x,z). [hyper(5687,a,6344,a)]. 6461 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(66,a,884,a(flip),b,6344,a),flip(a)]. 6462 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(66,a,838,a(flip),b,6344,a)]. 6466 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [hyper(122,a,838,a(flip),b,6344,a(flip))]. 6467 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [hyper(37,a,5505,a(flip),b,6344,a(flip))]. 6468 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(37,a,5497,a(flip),b,6344,a(flip))]. 6471 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(6344(a,2),2202(a,1,1))]. 6472 R(T(K(x \ y,y),y * z),y,z) = (y * z) \ ((x * T(x \ y,y)) * z). [para(6344(a,2),3211(a,1,2,1)),flip(a)]. 6473 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6344(a,2),3210(a,1,1,1)),flip(a)]. 6475 K((x \ y) \ y,y) = K(x,y). [hyper(285,a,3183,a(flip),b,6459,a),flip(a)]. 6476 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [hyper(124,a,6475,a(flip),b,21,a(flip))]. 6477 K(x / y,x) = K(y \ x,x). [para(90(a,1),6475(a,1,1,1)),flip(a)]. 6478 K((x / y) \ 1,y) = K(x \ y,y). [hyper(66,a,5830,a,b,6477,a)]. 6479 (x / (x / y)) \ L(y,y \ x,y) = K((x / y) \ x,x). [hyper(66,a,5200,a,b,6477,a)]. 6480 K(x \ (y \ x),y \ x) = K(y \ 1,y \ x). [hyper(66,a,5836,a(flip),b,6477,a),flip(a)]. 6481 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(66,a,3246,a(flip),b,6460,a)]. 6482 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(285,a,625,a(flip),b,6468,a),flip(a)]. 6484 K((x * y) \ x,z) = K(y \ 1,z). [para(14(a,1),6468(a,1,1,1)),flip(a)]. 6485 K(x \ (x / y),z) = K(y \ 1,z). [para(90(a,1),6468(a,1,1,1)),flip(a)]. 6488 K(((x / y) * x) \ (y * (x / y)),z) = K(T(y \ x,x) \ 1,z). [para(4364(a,1),6468(a,1,1,1)),flip(a)]. 6490 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5334(a,1),6468(a,1,1,1))]. 6491 K(x \ y,z) \ z != u | T(z,(y \ x) \ 1) = u. [para(6468(a,1),5162(a,1,1))]. 6496 K(((x * y) / x) \ 1,x) = K(y \ 1,x). [hyper(66,a,6478,a,b,6484,a)]. 6497 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(6484(a,1),399(a,1,2))]. 6511 1 / (x * K(y,x)) = K(x,y) / x. [hyper(123,a,5321,a(flip),b,6393,a)]. 6512 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(122,a,5321,a(flip),b,6393,a)]. 6513 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(5193(a,1),6393(a,1,2))]. 6514 K(x,y) \ (1 / y) = K(y,x) / y. [hyper(66,a,5997,a(flip),b,6511,a)]. 6515 K(x,y) / x = 1 / ((y * x) / y). [para(5149(a,2),6511(a,1,2)),flip(a)]. 6516 (K(x,y) / x) * T(x * K(y,x),z) = K(x * K(y,x),z). [para(6511(a,1),5254(a,2,1)),flip(a)]. 6518 K(x,y) * (1 / x) = K(x,y) / x. [hyper(5464,a,6514,a)]. 6519 T(1 / ((x * y) / x),y) = y \ K(y,x). [para(6515(a,1),118(a,1,1))]. 6520 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(756(a,1),6515(a,2,2))]. 6521 R(x,y,K(z,y)) = x. [hyper(475,a,6394,a)]. 6523 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(5193(a,1),6394(a,2,2))]. 6524 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(6394(a,1),6311(a,1,1))]. 6526 K(x,L(x,y,z) / u) = K(x,u \ L(x,y,z)). [hyper(38,a,3354,a(flip),b,6420,a),flip(a)]. 6527 T(K(x,y),z * y) * K(y,x) = K(K(x,y),y * z). [para(6442(a,2),5418(a,1,1))]. 6528 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(66,a,5393,a(flip),b,6456,a)]. 6529 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(66,a,153,a(flip),b,6456,a)]. 6533 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(5193(a,1),6457(a,1,2)),flip(a)]. 6534 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(66,a,6082,a(flip),b,6467,a),flip(a)]. 6535 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(66,a,3462,a(flip),b,6467,a),flip(a)]. 6536 ((x * y) / x) * T(T(((x * y) / x) \ 1,y),z) = T(y \ K(y,x),z) * ((x * y) / x). [para(6519(a,1),424(a,1,1,1)),flip(a)]. 6537 (x / (y / z)) * (z \ y) = x * K(z \ y,z). [para(5193(a,1),6528(a,1,1,2))]. 6538 K(((x \ 1) * y) \ y,(x \ 1) * y) = K(x,x \ y). [hyper(285,a,5655,a(flip),b,6534,a),flip(a)]. 6540 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(112(a,1),6535(a,1,1,1))]. 6542 T(x,L(y,x,z) \ 1) != u | T(x,y \ 1) = u. [para(6361(a,2),5180(a,1))]. 6545 (x * y) * K(y * x,z) != u | K(x,y) * T(y * x,z) = u. [para(5146(a,1),6375(a,1,1))]. 6546 ((x * y) / x) * K(y,z) != u | K(x,y) * T(y,z) = u. [para(5192(a,2),6375(a,1,1))]. 6547 (x / y) * (y * R(K(y,z),u,w)) = x * R(K(y,z),u,w). [hyper(124,a,6382,a(flip),b,106,a),flip(a)]. 6548 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(4598(a,2),6423(a,1))]. 6549 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(6047(a,2),6423(a,1))]. 6550 L(K(x,T(y,z)),T(y,z),u) = K(x,((y * z) \ z) \ 1). [para(116(a,1),6434(a,2,2,1,1))]. 6551 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(6434(a,1),3653(a,1)),flip(b)]. 6554 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(12(a,1),6551(a,1,2,1,1))]. 6555 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(1959(a,2),6554(a,1,2))]. 6556 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2383(a,1),6554(a,1,2))]. 6557 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2484(a,2),6554(a,1,2))]. 6558 K(x,R(T(y,y \ 1),z,u)) != w | K(x,R(y,z,u)) = w. [para(3585(a,2),6554(a,1,2))]. 6559 T(x,x \ 1) * K(y,x) = (x * (K(y,x) / x)) * x. [para(3497(a,1),6313(a,1,1)),flip(a)]. 6560 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(66,a,5317,a(flip),b,6357,a),flip(a)]. 6561 K(x,(T(y,z) * (y \ u)) \ 1) = K(x,u \ K(z,y)). [para(5153(a,2),6416(a,1,2,1))]. 6562 K(x,T(K(y,z) * u,w) \ 1) = T(K(x,u \ K(z,y)),w). [para(6416(a,1),6007(a,2,1))]. 6563 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(285,a,2060,a(flip),b,6418,a)]. 6564 x * ((y * (x \ z)) / y) != z * u | K(y,x \ z) = u. [para(6418(a,1),46(a,1))]. 6565 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(285,a,5564,a(flip),b,6443,a),flip(a)]. 6566 K(x,y) * (y * K(z,y)) = (y * K(z,y)) * K(x,y). [para(3185(a,1),6443(a,1,2,2)),flip(a)]. 6567 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(4963,a,6462,a)]. 6568 K((x \ 1) \ y,y) = K(x * y,y). [hyper(37,a,5373,a(flip),b,6462,a(flip)),flip(a)]. 6569 T(x * L(x \ (x * y),z,u),x) = x * L(y * K((x \ 1) \ y,x),z,u). [para(6462(a,1),1671(a,2,2,1))]. 6570 (x * K((y \ 1) \ x,z)) * y = T(x * y,z). [para(6462(a,1),4922(a,1,1))]. 6571 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6462(a,1),4927(a,1,1))]. 6572 K((x \ 1) \ y,y) = K(y * x,y). [hyper(285,a,5785,a(flip),b,6568,a),flip(a)]. 6573 K((1 / x) * y,y) = K(x \ y,y). [para(90(a,1),6568(a,1,1,1)),flip(a)]. 6574 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(17(a,1),6466(a,1,2,2,1)),flip(a)]. 6575 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(66,a,5965,a(flip),b,6471,a)]. 6576 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6575(a,1),5990(a,1,2,2))]. 6577 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6490(a,1),6080(a,2,1))]. 6578 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(66,a,1233,a,b,6513,a)]. 6580 K(K(x,x \ y) / (z * (y / x)),u) = K((z * (x \ y)) \ 1,u). [para(6523(a,1),5834(a,1,1,2))]. 6581 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(5149(a,2),6524(a,1,1,2))]. 6582 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z * K(y,z),y). [para(6524(a,1),5422(a,1,2))]. 6583 R(K(x,(y / z) \ L(x,u,w)),L(x,u,w),z) = K(x,(L(x,u,w) * z) / y). [para(6526(a,1),6102(a,1,1))]. 6585 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(16(a,1),6537(a,1,1)),flip(a)]. 6586 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6576(a,1),1690(a,2,2,1))]. 6587 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(66,a,153,a(flip),b,6578,a),flip(a)]. 6588 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3368,a,b,6581,a),flip(a)]. 6590 T(x / (y / z),K(z,z \ y)) = K(z \ y,z) * (x / (z \ y)). [hyper(224,a,6587,a,b,5360,a)]. 6592 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(6491,a,5142,a(flip))]. 6593 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [hyper(124,a,6592,a(flip),b,27,a(flip))]. 6594 T(x,(y * z) \ y) = T(x,z \ 1). [para(14(a,1),6592(a,1,2,1)),flip(a)]. 6596 T(x,(y * (z * u)) \ (y * z)) = T(x,L(u,z,y) \ 1). [para(23(a,2),6592(a,1,2,1)),flip(a)]. 6597 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(27(a,2),6592(a,1,2,1))]. 6599 (1 / (x \ y)) * T(z,y \ x) = z * (1 \ (1 / (x \ y))). [para(6592(a,1),3046(a,1,2))]. 6600 T(x,(y \ K(z,u)) \ 1) = T(x,K(u,z) * y). [para(5334(a,1),6592(a,2,2))]. 6601 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(632,a,6594,a),flip(a)]. 6603 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(6597(a,2),249(a,1,2))]. 6604 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(285,a,358,a,b,6601,a)]. 6605 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(185,a,6604,a)]. 6606 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(4977(a,1),6605(a,1,2))]. 6607 K(x,y) * z != (x * y) * K(y * x,u) | T(y * x,u) = z. [para(6352(a,1),46(a,1)),flip(a)]. 6608 (x * y) \ (y * (x * T(K(x,y),z))) = K(y,x) * T(K(x,y),z). [para(6383(a,1),5355(a,1,2))]. 6609 (L(K(x,y),z,u) / (1 / x)) * K(x * L(K(x,y),z,u),x \ 1) = x * L(K(x,y),z,u). [hyper(66,a,5110,a,b,6385,a)]. 6610 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = ((x * L(K(x,y),z,u)) * (1 / x)) / L(K(x,y),z,u). [para(6385(a,1),5111(a,1,1,1)),flip(a)]. 6611 L(K(x,y \ z),z,z \ 1) = K(x,((1 / z) * y) \ 1). [para(2958(a,1),6417(a,1,2,1)),flip(a)]. 6612 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [hyper(124,a,6437,a(flip),b,5544,a)]. 6613 L(K((x \ 1) \ (x \ y),z),x \ y,(x \ y) \ 1) / (x \ T(y,z)) = 1 / (x \ y). [para(6461(a,1),2959(a,1,2))]. 6614 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(285,a,4020,a(flip),b,6476,a),flip(a)]. 6615 x / R(1 / (y \ 1),y \ 1,x) = ((y \ 1) * x) * K(y,y \ x). [para(6538(a,1),5091(a,1,2)),flip(a)]. 6616 R(x,x \ K(y,x),x) = T(x,x \ 1). [hyper(38,a,4355,a,b,6559,a)]. 6617 R(x,T(x,y) \ 1,x) = T(x,x \ 1). [para(5134(a,2),6616(a,1,2))]. 6618 R(T(x,y),T(x,z) \ 1,x) = T(T(x,x \ 1),y). [para(6617(a,1),32(a,2,1))]. 6619 T(T(x,x \ 1),y) \ x = (T(x,y) \ 1) * x. [para(6618(a,1),394(a,1,1))]. 6620 T((x \ 1) \ 1,y) \ x = (T(x,y) \ 1) * x. [para(117(a,1),6619(a,1,1,1))]. 6621 (((T(x,y) \ 1) * x) * T((x \ 1) \ 1,y)) * (T((x \ 1) \ 1,y) \ y) = y * T(y \ T(y * K(x \ 1,x),x),T((x \ 1) \ 1,y)). [para(6620(a,1),4572(a,1,1,1))]. 6622 (x * ((1 / y) / x)) * y != z | K(x,(x * y) \ 1) = z. [para(6563(a,2),125(a,1))]. 6623 (K(x,x \ (y / z)) * (y / z)) * z = y * K(x,(x * z) \ y). [para(5197(a,2),6563(a,1,1))]. 6624 T((x / y) * K((L(y,z,u) \ 1) \ (x / y),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(1568(a,1),6571(a,2,2))]. 6625 K(x,x * (y / x)) = K(x,y). [hyper(4270,a,6614,a)]. 6626 K(x,y * x) = K(x,x * y). [para(16(a,1),6625(a,1,2,2)),flip(a)]. 6627 K(x,T(x * (y / x),z)) = K(x,T(y,z)). [para(4905(a,2),6625(a,1,2))]. 6628 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4912(a,1),6625(a,1,2)),flip(a)]. 6629 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,z)). [para(4913(a,1),6625(a,1,2))]. 6630 K(x,L(x * (y / x),z,u)) = K(x,L(y,z,u)). [para(5063(a,2),6625(a,1,2))]. 6631 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(93(a,1),6626(a,2,2))]. 6632 K(x \ y,T(T((x \ y) * x,z),u)) = K(x \ y,T(T(y,z),u)). [para(4913(a,1),6627(a,1,2,1))]. 6633 K(x \ y,T((x \ y) * x,z)) = K(x \ y,T(y,T(z,y))). [para(4105(a,2),6629(a,2,2))]. 6634 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [hyper(66,a,6417,a(flip),b,6410,a)]. 6635 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6389,a,6634,a),flip(a)]. 6636 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(15(a,1),6634(a,2,2,1))]. 6637 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(15(a,1),6634(a,2,2,2))]. 6638 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(90(a,1),6634(a,1,1,2)),flip(a)]. 6639 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6634(a,1),6389(a,1))]. 6640 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(15(a,1),6635(a,1,2,1)),flip(a)]. 6641 K(x,(1 / y) * x) = K(x,y \ x). [para(162(a,1),6635(a,1,2))]. 6642 K(x,L(y \ x,y,z)) = K(x,y \ x). [para(105(a,2),6635(a,1,2))]. 6643 K(x,L((y \ z) \ x,z / y,y)) = K(x,(y \ z) \ x). [para(4523(a,1),6642(a,1,2))]. 6644 (x * y) * K(z,u \ (x * y)) = x * (y * K(z,(x \ u) \ y)). [hyper(124,a,6636,a(flip),b,23,a(flip))]. 6645 K(x,y \ (z * x)) != u | K(x,(z \ y) \ x) = u. [para(6636(a,1),6389(a,1))]. 6646 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [para(107(a,2),6638(a,1,2))]. 6647 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [hyper(285,a,6032,a,b,6646,a),flip(a)]. 6648 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(16(a,1),6646(a,1,2,2)),flip(a)]. 6649 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(66,a,6395,a,b,6648,a)]. 6650 K(L(x,y * z,u) \ 1,z) = K(x \ 1,L(z,y,u)). [hyper(66,a,5977,a(flip),b,6648,a)]. 6651 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(5347,a,6647,a)]. 6652 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6647(a,2),6036(a,1))]. 6653 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(16(a,1),6651(a,1,1,2)),flip(a)]. 6654 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(87(a,1),6651(a,1,1,2)),flip(a)]. 6655 K(L(x,y / T(x,y),z),u) = L(K(x,u),T(y,x),z). [para(4120(a,1),6651(a,1,1,2))]. 6656 K(L(x,y,z),y * x) = K(x,y * x). [hyper(6403,a,6653,a),flip(a)]. 6657 K(L(x,y,z),y * x) != u | K(x,y * x) = u. [para(6653(a,1),6403(a,1))]. 6658 K(L(x,y,z),y * x) = K(x,x * y). [hyper(285,a,6626,a(flip),b,6656,a),flip(a)]. 6659 K(L(x \ y,x,z),y) = K(x \ y,y). [hyper(6403,a,6654,a),flip(a)]. 6660 K(L(x \ y,x,K(y,z)),u) = K(x \ y,u). [hyper(4072,a,6654,a)]. 6661 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [para(105(a,1),6654(a,2,1))]. 6662 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(268(a,1),6654(a,2,1))]. 6663 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(453(a,1),6654(a,2,1))]. 6664 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(458(a,1),6654(a,2,1))]. 6665 K((x \ y) \ z,z) = K(y \ (x * z),z). [para(453(a,1),6659(a,1,1)),flip(a)]. 6666 K(L(x \ y,T(x,z),z),y) = K(x \ y,y). [para(6158(a,1),6659(a,1,1))]. 6667 K(x \ y,K(y,z) * x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(6660(a,1),5314(a,1,1))]. 6669 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6648(a,1),6649(a,1,1))]. 6670 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(107(a,1),6652(a,1,2))]. 6671 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(66,a,6669,a(flip),b,6663,a)]. 6672 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [hyper(124,a,6663,a(flip),b,23,a(flip))]. 6673 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(19(a,2),6663(a,2,1))]. 6674 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6663(a,1),6403(a,1))]. 6675 K(x,y) = (y / (y / x)) \ L(x,x \ y,x). [hyper(285,a,626,a(flip),b,6479,a)]. 6677 R(T(K(x,y),y * z),y,z) = K(x,((y * z) \ z) \ 1). [hyper(66,a,6285,a,b,6550,a)]. 6678 K(x,L((y \ z) \ x,z / y,y)) = K(x,z \ (y * x)). [hyper(285,a,6640,a(flip),b,6643,a),flip(a)]. 6679 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(66,a,4691,a(flip),b,6662,a),flip(a)]. 6681 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(66,a,5368,a,b,6679,a)]. 6682 (x * R(K(y,z),u,w)) * y = x * (y * R(K(y,z),u,w)). [para(3351(a,1),6330(a,2,2))]. 6683 K(K(x,x \ 1) * y,z) = K(y,z). [hyper(37,a,5130,a(flip),b,6355,a)]. 6684 K(K(x \ 1,x) * y,z) = K(y,z). [para(1906(a,1),6683(a,1,1,1))]. 6687 K(x * ((y \ 1) \ 1),z) = K(x * y,z). [para(2830(a,1),6683(a,1,1))]. 6688 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2860(a,1),6683(a,1,1))]. 6689 K(((x \ 1) \ 1) * y,z) = K(x * y,z). [para(2888(a,1),6683(a,1,1))]. 6690 K(T(x,x \ 1) \ y,z) = K(x \ y,z). [para(2897(a,1),6683(a,1,1)),flip(a)]. 6691 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2909(a,1),6683(a,1,1)),flip(a)]. 6692 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2947(a,1),6683(a,1,1))]. 6694 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2975(a,1),6683(a,1,1)),flip(a)]. 6695 K(((1 / x) * y) * z,u) = K(((x \ 1) * y) * z,u). [para(3684(a,1),6683(a,1,1))]. 6696 K(x \ T(y,y \ 1),z) = K(x \ y,z). [para(3897(a,1),6683(a,1,1))]. 6697 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4851(a,1),6683(a,1,1))]. 6698 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4867(a,2),6683(a,1,1))]. 6699 K(x * (y * (1 / z)),u) = K(x * (y * (z \ 1)),u). [para(4878(a,1),6683(a,1,1))]. 6702 K((x / (1 / y)) * z,u) = K((x / (y \ 1)) * z,u). [para(3710(a,1),6684(a,1,1))]. 6703 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4883(a,2),6684(a,1,1))]. 6704 K((x \ K(y \ 1,y)) * z,u) = K((x \ 1) * z,u). [para(4875(a,1),6684(a,1,1))]. 6705 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(4884(a,1),6684(a,1,1))]. 6706 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(4893(a,1),6684(a,1,1))]. 6707 K((((x \ 1) \ 1) * y) \ z,u) = K((x * y) \ z,u). [para(4894(a,1),6684(a,1,1))]. 6708 K(x / (K(y,y \ 1) * z),u) = K(x / z,u). [para(5020(a,2),6684(a,1,1))]. 6709 K(x * (((x \ y) \ 1) \ 1),z) = K(y,z). [para(15(a,1),6687(a,2,1))]. 6710 K(x * T((y * z) \ z,y),u) = K(x * ((y * z) \ z),u). [para(3422(a,2),6687(a,1,1,2))]. 6711 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3581(a,1),6687(a,1,1,2)),flip(a)]. 6712 K(x * (y \ 1),x) = K(y \ x,x). [hyper(66,a,6572,a(flip),b,6691,a)]. 6714 K(R(T(x,x \ 1),y,z) \ u,w) = K(R(x,y,z) \ u,w). [para(3585(a,2),6691(a,1,1,1))]. 6715 K((1 / x) \ y,y) = K(y * x,y). [para(90(a,1),6712(a,1,1,2)),flip(a)]. 6716 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(5413(a,1),6712(a,1,1,2)),flip(a)]. 6717 R(x * K(y \ x,x),z,u) \ R(x,z,u) = K(R(x,z,u),x * (y \ 1)). [para(6712(a,1),5807(a,1,1,1,2))]. 6718 K((1 / x) \ y,y) = K(x * y,y). [hyper(285,a,5785,a,b,6715,a),flip(a)]. 6719 K(x * ((1 / x) * y),(1 / x) * y) = K(y,(1 / x) * y). [hyper(66,a,625,a(flip),b,6718,a),flip(a)]. 6720 K((T(x,x \ 1) \ y) \ 1,z) = K(y \ x,z). [hyper(66,a,6468,a,b,6696,a)]. 6721 (1 / x) * K(y \ (x \ 1),y) = (y \ (1 / x)) * y. [hyper(124,a,6697,a(flip),b,97,a)]. 6722 (1 / x) \ ((y \ (x \ 1)) * y) = (x \ K(y \ (x \ 1),y)) * x. [para(6697(a,1),4958(a,2,1,2))]. 6723 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(6697(a,1),6567(a,2,2))]. 6724 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2830(a,1),6698(a,1,1,2))]. 6725 K(x \ ((1 / y) * z),u) = K(x \ ((y \ 1) * z),u). [para(2947(a,1),6698(a,1,1,2))]. 6727 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3754(a,1),6698(a,1,1,2))]. 6728 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(5294(a,1),6698(a,1,1,2)),flip(a)]. 6729 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,6661,a,b,6728,a)]. 6730 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4880(a,1),6703(a,1,1,1))]. 6731 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4995(a,1),6703(a,1,1,1))]. 6732 K(x / ((1 / y) * z),u) = K(x / ((y \ 1) * z),u). [para(2947(a,1),6708(a,1,1,2))]. 6733 K((x \ K(y \ z,z \ y)) * u,w) = K((x \ 1) * u,w). [para(2618(a,1),6704(a,1,1,1,2))]. 6734 (1 / x) * (y * T(y \ x,z)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,5966,a,b,6705,a)]. 6735 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2951(a,1),6705(a,1,1,1)),flip(a)]. 6737 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(15(a,1),6724(a,2,1,2))]. 6738 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2520(a,2),6411(a,1,2))]. 6739 K(x,(T(y,z) * u) \ y) = K(x,u \ K(z,y)). [hyper(66,a,6561,a(flip),b,6412,a),flip(a)]. 6740 K(x,(T(y,z) \ u) \ K(z,y)) = K(x,u \ y). [para(15(a,1),6739(a,1,2,1)),flip(a)]. 6741 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(5251(a,1),6577(a,1,1,1)),flip(a)]. 6742 T(x,y) != K(z \ 1,u) | K(z \ K(z,y),u) = x. [para(6741(a,1),52(a,1)),flip(a)]. 6743 (1 / ((x * y) \ x)) * T(z,y) = z * (1 \ (1 / ((x * y) \ x))). [para(14(a,1),6599(a,1,2,2))]. 6744 K(x * ((1 / x) * y),(1 / x) * y) = K(y,x \ y). [hyper(285,a,6641,a(flip),b,6719,a),flip(a)]. 6745 K(((1 / x) * y) * x,(1 / x) * y) = K(y,x \ y). [hyper(5786,a,6744,a)]. 6746 K(((1 / (x \ y)) * z) * (x \ y),(1 / (x \ y)) * z) = K(z,y \ (x * z)). [hyper(285,a,6640,a(flip),b,6745,a),flip(a)]. 6747 K((x * ((1 / y) / z)) \ u,w) = K((x * ((y \ 1) / z)) \ u,w). [para(3642(a,1),6730(a,1,1,1,2))]. 6748 K((x * ((T(y,x) \ 1) * y)) \ z,u) = K(T(x,y) \ z,u). [para(4282(a,1),6730(a,1,1,1)),flip(a)]. 6749 K(((x \ 1) * (y \ x)) \ 1,z) = (1 / x) * (K(y,z) * x). [para(5523(a,1),6734(a,1,2)),flip(a)]. 6750 (x * (y * z)) \ (x * (y * T(z,u))) = K(L(z,y,x),u). [hyper(285,a,6653,a(flip),b,6362,a),flip(a)]. 6751 L(K(L(x,y,z),u),L(x,y,z),w) = (z * (y * x)) \ (z * (y * T(x,u))). [hyper(285,a,6374,a,b,6750,a)]. 6752 a(x,y * K(z,y),z) = a(x,y,T(z,y)). [hyper(873,a,6582,a),flip(a)]. 6753 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(90(a,1),6606(a,1,2,2)),flip(a)]. 6754 x \ T(x * K(y \ 1,y),y) = T((T(y,x) \ 1) * y,x). [para(5799(a,1),6445(a,1,1)),flip(a)]. 6755 (K(x,x \ (y / z)) * (y / z)) * z = K(x,((x * z) / y) \ 1) * y. [hyper(285,a,6419,a,b,6623,a),flip(a)]. 6756 (x * y) * z != x * (y * K(u,(x \ w) \ y)) | K(u,w \ (x * y)) = z. [para(6644(a,1),46(a,1)),flip(a)]. 6757 x * (y * K(z,(x \ 1) \ y)) = (x * y) * K(z,x * y). [para(78(a,1),6644(a,1,2,2)),flip(a)]. 6759 K(x \ (y * z),(y \ 1) \ z) = K((y \ x) \ z,y * z). [hyper(37,a,6757,a(flip),b,6672,a),flip(a)]. 6760 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6672(a,1),46(a,1)),flip(a)]. 6761 K((x \ y) \ (x \ z),x * (x \ z)) = K(y \ z,(x \ 1) \ (x \ z)). [para(15(a,1),6759(a,1,1,2)),flip(a)]. 6762 (1 / x) \ ((y \ (x \ 1)) * y) = ((y \ (x \ 1)) * y) * x. [para(5678(a,1),6722(a,2,1))]. 6763 K(x \ 1,x) * K(y \ (x \ 1),y) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,2980,a,b,6762,a)]. 6764 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(78(a,1),6743(a,2,2))]. 6765 ((x \ 1) * y) * K(x,x \ y) = y / R(x,x \ 1,y). [para(87(a,1),6615(a,1,2,1)),flip(a)]. 6767 L(x,y \ 1,y) / (L(x,y \ 1,y) / y) = y * K(y \ x,y). [para(4656(a,1),5093(a,2,2))]. 6768 K(x \ 1,x) * K(y \ (x \ 1),y) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),5107(a,1,2))]. 6769 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(5189(a,2),1970(a,1,2))]. 6770 T(x * K(y,x),z) * (x \ y) = x \ (y * T(x,z)). [hyper(66,a,1342,a(flip),b,5600,a),flip(a)]. 6771 T(T(x,y) * K(x * y,T(x,y)),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(1224(a,2),6770(a,2,2))]. 6772 T(x * K(y,x),(x * K(y,x)) \ 1) = (x \ 1) \ K(y,x). [para(5342(a,1),5683(a,2,2))]. 6773 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [para(5359(a,1),6772(a,1,2))]. 6774 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = T(x * K(y,x),z) * (x \ K(x,y)). [para(6773(a,1),221(a,1,2,1))]. 6775 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6234(a,1),5828(a,2,1,1))]. 6776 T(x * K(y,x),x * (z / x)) = T(x,z) * K(y,T(x,z)). [para(4181(a,1),5867(a,1,2,2)),flip(a)]. 6777 T(x * K(y,x),x * (z / x)) = T(x * K(y,x),z). [hyper(285,a,5595,a(flip),b,6776,a),flip(a)]. 6778 T(x * K(y,x),T(z * x,u)) = T(x * K(y,x),T(x * z,u)). [para(4912(a,1),6777(a,1,2)),flip(a)]. 6779 L(K(x,y),z,u) / (1 / x) = 1 / (L(K(y,x),z,u) / x). [para(5950(a,1),5988(a,1,1))]. 6780 K((x \ (y \ 1)) \ 1,T(x,z)) = K(y * x,T(x,z)). [hyper(66,a,5887,a(flip),b,6021,a),flip(a)]. 6781 K((x \ 1) \ y,T(y,z)) = K(x * y,T(y,z)). [hyper(66,a,6468,a(flip),b,6780,a)]. 6782 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),T(R(y,z,u),w)). [para(32(a,2),6781(a,1,2))]. 6783 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5698(a,1),6111(a,1,1))]. 6786 (x * K(y,(z \ 1) \ 1)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6783(a,2,2))]. 6787 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(4596(a,1),6786(a,1,1,2))]. 6788 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (u / (z \ 1)))). [para(5031(a,1),6117(a,1,2,2))]. 6790 (1 / x) \ T(T(x \ 1,y),z) != u | T(T(x \ 1,y),z) * x = u. [para(6124(a,1),688(a,1))]. 6791 L(T(K(x,y),z),u,w) \ v5 = L(T(K(y,x),z),u,w) * v5. [para(6014(a,1),6147(a,1,1)),flip(a)]. 6792 L(T(K(x,y),z),z,z \ 1) * u = ((1 / z) * (K(y,x) * z)) \ u. [para(2963(a,1),6791(a,1,1)),flip(a)]. 6793 ((1 / x) * (K(y,z) * x)) \ u = ((1 / x) * (K(z,y) * x)) * u. [para(2963(a,1),6792(a,1,1)),flip(a)]. 6794 K(L(x \ 1,y,z),(x \ 1) \ 1) = K(L(x,u,w) \ 1,x). [hyper(285,a,4596,a(flip),b,6173,a),flip(a)]. 6795 K(L(x \ 1,y,z),x) = K(L(x,u,w) \ 1,x). [hyper(6554,a,6794,a)]. 6796 K(x,L(x,y,z) \ 1) = K(L(x \ 1,u,w),x) \ 1. [para(6795(a,2),5320(a,1,1)),flip(a)]. 6797 K(x,L(x \ 1,y,z)) = K(x,L(x,u,w) \ 1). [hyper(285,a,5320,a(flip),b,6796,a)]. 6798 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6174,a,6180,a)]. 6799 K(((x * y) \ z) \ 1,L(y \ (x \ z),u,w)) = K((y \ (x \ z)) \ 1,L(y \ (x \ z),v5,v6)). [para(268(a,1),6798(a,1,1,1))]. 6800 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6798(a,1),2446(a,1,1))]. 6801 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6798(a,1),2686(a,1,1))]. 6802 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(x,v5,v6),x \ 1) = 1. [para(6798(a,2),5321(a,1,1))]. 6803 K(L(x,y,z),L(x,u,w) \ 1) = K(L(x,v5,v6),x \ 1). [hyper(5364,a,6802,a)]. 6804 L(x,y,z) \ K(L(x,u,w),x \ 1) = 1 / L(x,y,z). [hyper(122,a,6803,a(flip),b,1903,a(flip))]. 6805 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [para(341(a,1),6804(a,1,2,1))]. 6806 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(122,a,6805,a(flip),b,1921,a(flip)),flip(a)]. 6807 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(709,a,6235,a)]. 6808 L(T(1 / x,T(y,K(x,z))),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(116(a,1),6807(a,2,2))]. 6809 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6807(a,1),6083(a,1,1,1)),flip(a)]. 6810 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(285,a,6081,a(flip),b,6809,a),flip(a)]. 6811 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),K(x,y) * (K(x,y) \ z)),w,v5). [para(6810(a,1),649(a,1,2,1)),flip(a)]. 6812 K(x,R(y,z,u)) * ((y * z) * u) = ((y * K(x,y)) * z) * u. [hyper(262,a,6283,a),flip(a)]. 6813 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(4409(a,1),6812(a,2,1))]. 6814 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(23(a,2),6673(a,1,1,1,1))]. 6815 R(K(x,x \ (y / z)),y / z,z) = K(x,((x * z) / y) \ 1). [hyper(701,a,6755,a)]. 6816 x / (((y \ (x / z)) * y) * z) = K(y,((y * z) / x) \ 1). [hyper(66,a,6143,a(flip),b,6815,a)]. 6817 x / (y * ((z \ (y \ x)) * z)) = K(z,((z * y) / x) \ 1). [para(4952(a,1),6816(a,1,2))]. 6818 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z * y)). [hyper(285,a,5708,a(flip),b,6817,a),flip(a)]. 6819 K(x,y / (x / (z \ 1))) = K(x,y / (x * z)). [hyper(66,a,6018,a(flip),b,6818,a)]. 6820 x / (((y \ z) * y) * (z \ x)) = K(y,x / (y * (z \ x))). [para(4953(a,1),6818(a,1,2))]. 6821 (x * y) / (((z \ R(R(1 / u,u,x),u * x,y)) * z) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(571(a,1),6820(a,1,2,2))]. 6822 K(x \ y,(z \ 1) \ (z \ y)) = K((z \ x) \ (z \ y),y). [para(15(a,1),6761(a,1,2)),flip(a)]. 6823 K(x \ R(y,z,u),R((w \ 1) \ (w \ y),z,u)) = K((w \ x) \ (w \ R(y,z,u)),R(y,z,u)). [para(1839(a,2),6822(a,1,2))]. 6824 (x \ 1) / (y * ((1 / x) / y)) = ((y \ (x \ 1)) * y) * x. [hyper(66,a,6763,a(flip),b,6768,a),flip(a)]. 6825 (x * (((y \ z) * y) * (1 / z))) * a(x,K((1 / z) \ K(y \ z,y),1 / z),K(y \ z,y)) = (x * K((1 / z) \ K(y \ z,y),1 / z)) * K(y \ z,y). [para(5083(a,1),5113(a,1,1,2,1))]. 6826 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(66,a,5379,a,b,5395,a)]. 6827 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5395(a,1),713(a,2,1)),flip(a)]. 6828 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,L(x,z,u)). [para(5395(a,1),880(a,1,1,1))]. 6829 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(5725,a,6827,a)]. 6830 T(R(x,y,z) * K(u * R(1 / (1 / x),y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(1886(a,1),6827(a,1,1,2,1,2))]. 6831 T(T(x * K(y * L(T(x,z),u,w),x),z),y) = R(T(x,z),y,L(T(x,z),u,w)). [para(5595(a,1),6827(a,1,1))]. 6832 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6826(a,1),1620(a,1,1,2)),flip(a)]. 6833 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5397(a,1),880(a,1,1,1))]. 6834 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(838(a,1),5507(a,1,2))]. 6835 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(783(a,2),5611(a,1,2,2,1))]. 6836 L(L(x * K(y,x),z,u),w,v5) * y = y * L(L(x,w,v5),z,u). [para(5795(a,1),5796(a,1,1,1))]. 6837 K(R(x,y,z),T(x,u) * u) = K(R(x,y,z),x * u). [hyper(285,a,6057,a(flip),b,6064,a),flip(a)]. 6838 ((x * y) * K(y \ 1,z)) / (y * K(y \ 1,z)) = R(x,K(y \ 1,z),y). [para(1408(a,1),6201(a,1,2))]. 6839 R(T(K(x \ y,y),y * z),y,z) = K(((y * z) \ (x * z)) \ 1,y). [hyper(285,a,5816,a(flip),b,6472,a),flip(a)]. 6840 K(((x * y) \ (z * y)) \ 1,x) = K(z \ x,((x * y) \ y) \ 1). [hyper(66,a,6677,a(flip),b,6839,a),flip(a)]. 6841 K(x \ y,((y * z) \ z) \ 1) = K((x * z) \ (y * z),y). [hyper(66,a,6468,a(flip),b,6840,a),flip(a)]. 6842 K((x * y) \ (z * y),z) = K(x \ z,y \ (z * y)). [hyper(6423,a,6841,a),flip(a)]. 6843 K((x * y) \ (z * y),z) = K(x \ z,T(z,y)). [para(27(a,2),6842(a,2,2))]. 6844 K((x / y) \ z,T(z,y)) = K(x \ (z * y),z). [para(17(a,1),6843(a,1,1,1)),flip(a)]. 6845 K(R(x,y,z),x * (u \ 1)) = K(R(x,y,z),u \ x). [hyper(66,a,5807,a(flip),b,6717,a),flip(a)]. 6846 K(L(R(x,y,z),u,w),L(x,u,w) * (v5 \ 1)) = K(R(L(x,u,w),y,z),v5 \ L(x,u,w)). [para(34(a,1),6845(a,1,1))]. 6847 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y * K(x,y),(x / (x / y)) * (z \ 1)). [para(6181(a,1),6845(a,1,1)),flip(a)]. 6848 L(K(L(x,x \ 1,y),z),L(x,1 / x,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6751(a,1,1,1))]. 6849 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(3820(a,1),6753(a,2,2))]. 6850 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(66,a,3824,a(flip),b,6849,a),flip(a)]. 6851 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(3029(a,1),6850(a,1,2,2)),flip(a)]. 6852 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(3029(a,1),6851(a,1,1,1)),flip(a)]. 6853 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(180,a,6852,a)]. 6854 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(118(a,1),6853(a,1,1,1,1))]. 6855 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(118(a,1),6854(a,2,2))]. 6856 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = (L(x,u,w) \ 1) * x. [hyper(285,a,116,a(flip),b,6800,a),flip(a)]. 6859 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2610(a,2),6801(a,2,2))]. 6860 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1814(a,1),6835(a,1,2))]. 6862 R(x,K(y \ 1,z),y) != u | R(x,y,K(y \ 1,z)) = u. [para(6838(a,1),479(a,1))]. 6863 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(66,a,6856,a(flip),b,6859,a),flip(a)]. 6864 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [hyper(180,a,6863,a)]. 6865 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2490(a,1),5054(a,1,1,2))]. 6866 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(37,a,5795,a,b,6865,a(flip))]. 6868 K(x \ (y \ z),(y \ z) \ x) = K(x \ (y \ z),z \ (y * x)). [para(453(a,1),6866(a,1,2)),flip(a)]. 6869 K(x \ ((y * z) \ (y * (z * x))),((y * z) \ (y * (z * x))) \ x) = K(x \ ((y * z) \ (y * (z * x))),a(y,z,x)). [para(19(a,2),6868(a,2,2))]. 6870 K(x \ (y * z),(x \ (y * z)) \ 1) = K(x \ (y * z),z \ (y \ x)). [hyper(1972,a,5188,a)]. 6871 K(x \ (y * z),(y * z) \ x) = K(x \ (y * z),z \ (y \ x)). [hyper(6423,a,6870,a)]. 6873 K(((x / y) / z) \ 1,x / (z * y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3914,a,b,6871,a)]. 6874 K(((x / y) / z) \ 1,(x / y) / z) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3730,a,b,6873,a)]. 6875 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),y \ (z \ x)). [hyper(66,a,3239,a(flip),b,6874,a)]. 6876 K((x / y) \ z,z \ (x / y)) = K(x \ (z * y),(z * y) \ x). [hyper(285,a,6871,a,b,6875,a),flip(a)]. 6877 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(5136(a,2),5231(a,2,2,1,1))]. 6878 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(122,a,5236,a(flip),b,5157,a),flip(a)]. 6879 T((x \ 1) \ 1,y) / (T((x \ 1) \ 1,y) * K(z,x)) = K(x,z). [para(4596(a,1),5736(a,1,2,2))]. 6880 T(x,y) * L(K(z,T(x,y)),u,w) = T(x * L(K(z,x),u,w),y). [para(5981(a,1),5985(a,1,1,2)),flip(a)]. 6881 T(x * L(K(y,x),z,u),y) = T(x,y) * L(K(y,x),z,u). [para(5319(a,1),6880(a,1,2,1)),flip(a)]. 6882 K(x \ y,y \ x) * K(x \ y,z) = T((y \ x) \ 1,z) * (y \ x). [para(6468(a,1),6001(a,1,2))]. 6883 T((x \ y) \ 1,z) * (x \ y) = T(y \ x,z) * (1 / (y \ x)). [hyper(66,a,5813,a(flip),b,6882,a),flip(a)]. 6884 (x * K(x * y,y \ (x \ 1))) * y = ((x * y) \ 1) \ 1. [hyper(285,a,1965,a(flip),b,6070,a),flip(a)]. 6886 x / (y * (z * ((u \ (z \ (y \ x))) * u))) = K(u,x / (y * (z * u))). [para(116(a,1),6116(a,1,2,2,2))]. 6887 x / (y * (T(z \ 1,u) * ((z \ (T(z \ 1,u) \ (y \ x))) * z))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(6123(a,2),6886(a,2,2,2,2))]. 6888 (x \ K(y \ 1,z)) * ((x \ 1) \ 1) = K(((x \ y) * x) \ 1,z). [hyper(66,a,6706,a(flip),b,6144,a),flip(a)]. 6889 K(((x \ y) * x) \ 1,y) = K(y \ 1,y). [hyper(4984,a,6888,a),flip(a)]. 6890 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(13(a,1),6155(a,2,1,2,2))]. 6891 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (K((z / x) \ 1,u) * x) * y. [hyper(66,a,5822,a(flip),b,6168,a)]. 6893 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(90(a,1),6245(a,1,1,1,1,2)),flip(a)]. 6894 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6468(a,1),6893(a,1,2))]. 6895 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(6697(a,1),6894(a,1,2))]. 6896 K((x * y) \ 1,y) = K(x \ (y \ 1),y). [hyper(37,a,4692,a,b,6895,a)]. 6897 L(K(x \ (y \ 1),y),z,u) = K(L(x * y,z,u) \ 1,y). [para(6896(a,1),5977(a,1,1))]. 6898 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6322(a,1),6367(a,1,2)),flip(a)]. 6899 R(R(x,y,z),y * z,K(z,u)) = R(x,y,T(z,u)). [hyper(285,a,25,a,b,6898,a),flip(a)]. 6900 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6898(a,2),479(a,1))]. 6901 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(66,a,36,a,b,6899,a)]. 6902 x * L(y * K((x \ 1) \ y,x),z,u) = T(x * L(y,z,u),x). [para(14(a,1),6569(a,1,1,2,1)),flip(a)]. 6903 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(6731(a,1),6723(a,2,2))]. 6904 K(x,y / (z * (x / (u \ 1)))) = K(x,y / (z * (u * x))). [hyper(66,a,6886,a(flip),b,6788,a),flip(a)]. 6905 x / L((y \ ((z \ 1) \ (z \ x))) * y,z \ 1,z) = K(y,x / (z * (y / ((z \ 1) \ 1)))). [para(242(a,1),6788(a,1,2))]. 6906 (x * y) * K(((x * y) \ (z * y)) \ 1,u) = (x * K((x \ z) \ 1,u)) * y. [para(5822(a,1),6891(a,2,1))]. 6907 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(285,a,6895,a(flip),b,6903,a),flip(a)]. 6908 x * K((x \ (x \ (y * x))) \ 1,z) = T(x * K((x \ y) \ 1,z),x). [hyper(224,a,6906,a(flip),b,6175,a(flip)),flip(a)]. 6910 T(x * K((x \ y) \ 1,z),x) = x * K((x \ T(y,x)) \ 1,z). [para(27(a,2),6908(a,1,2,1,1,2)),flip(a)]. 6911 T(x * K((x \ y) \ 1,z),x) = T(y,x) * T(T(y,x) \ x,z). [hyper(285,a,5497,a,b,6910,a),flip(a)]. 6912 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6468(a,1),6911(a,1,1,2)),flip(a)]. 6913 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(66,a,4946,a(flip),b,4968,a),flip(a)]. 6914 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3757(a,2),4975(a,1,1))]. 6915 T(x * K(y,x),y * R(x,z,u)) = L(x,y,R(x * K(y,x),z,u)). [para(5245(a,1),5250(a,1,2))]. 6916 T(x * K(y,x),y * R(x,y,x)) = L(x,y,x * K(y * x,x)). [para(5925(a,1),6915(a,2,3))]. 6917 T(x * K(y,x),T(x * y,x)) = L(x,y,x * K(y * x,x)). [para(4250(a,1),6916(a,1,2))]. 6918 K(R(x,y,z),T(T(x,u) * u,w)) = K(R(x,y,z),T(x * u,w)). [hyper(285,a,5258,a(flip),b,6028,a),flip(a)]. 6920 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(285,a,5708,a(flip),b,6109,a),flip(a)]. 6921 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(66,a,6095,a(flip),b,6920,a)]. 6922 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(6424(a,1),6921(a,1,1))]. 6923 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(32(a,2),6540(a,1,2))]. 6924 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(x,z,u)). [para(14(a,1),6828(a,2,1,1))]. 6925 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(14(a,1),6833(a,2,1,1))]. 6926 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(5063(a,2),6913(a,1,2))]. 6927 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(262,a,6914,a),flip(a)]. 6928 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6681(a,1),6927(a,2,1))]. 6929 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6928(a,1),6018(a,1,2)),flip(a)]. 6930 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(285,a,5448,a(flip),b,6929,a),flip(a)]. 6932 K(x,y / (x * (z * y))) = K(x,z \ (x \ 1)). [hyper(66,a,6819,a(flip),b,6930,a)]. 6933 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(66,a,6429,a(flip),b,6930,a)]. 6934 R(K(x,y \ (x \ 1)),z,u) = K(x,R(y * x,z,u) \ 1). [para(6933(a,1),6090(a,1,1))]. 6935 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u,y,z) \ (x \ 1)). [para(112(a,1),6932(a,1,2,2,2))]. 6936 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(285,a,3729,a(flip),b,6923,a),flip(a)]. 6938 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6936(a,1),3390(a,1,1))]. 6939 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(265,a,6926,a),flip(a)]. 6940 ((x * (y / x)) \ T(y,z)) * (x * (y / x)) = T(y,z). [para(5439(a,1),5108(a,1,1,2,1))]. 6941 T(x,y) / (z * (x / z)) = (z * (x / z)) \ T(x,y). [hyper(135,a,6940,a)]. 6942 T(x,y) / (T(x,y) / (z * (x / z))) = z * (x / z). [hyper(185,a,6941,a(flip))]. 6943 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = y \ (y * x). [para(5360(a,1),5465(a,2,2))]. 6944 L(L(x,y,K(z,u)),K(z,u) * y,K(u,z)) = x. [hyper(285,a,14,a(flip),b,6943,a),flip(a)]. 6947 L(x,K(y,z) * u,K(z,y)) != w | L(w,u,K(y,z)) = x. [para(6944(a,1),53(a,1)),flip(a)]. 6948 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(222(a,1),5626(a,1,2)),flip(a)]. 6949 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5320(a,1),6948(a,1,1,2,1))]. 6950 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(223(a,1),5627(a,1,2)),flip(a)]. 6951 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5320(a,1),6950(a,1,1,2,1))]. 6952 x * R(y * K((y \ (x \ 1)) \ 1,x),z,u) = T(x * R(y,z,u),x). [para(14(a,1),6020(a,1,1,2,1)),flip(a)]. 6953 x * R(y * K((x \ 1) \ y,x),z,u) = T(x * R(y,z,u),x). [para(6468(a,1),6952(a,1,2,1,2))]. 6954 T((1 / x) * K(y * R(1 / x,x,z),x \ 1),y) = R(1 / x,y,z / (x * z)). [para(4598(a,1),6052(a,1,1,2))]. 6955 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(6511(a,1),6193(a,2,1))]. 6956 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(5150(a,1),6955(a,1,1,1))]. 6957 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(180,a,6956,a)]. 6958 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6957(a,1,1,2))]. 6959 K((x \ 1) \ R(y,z,u),R(T(y,w),z,u)) = K(x * R(y,z,u),R(T(y,w),z,u)). [para(32(a,2),6782(a,2,2))]. 6960 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(66,a,989,a(flip),b,6878,a)]. 6962 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(3022(a,1),6954(a,1,1))]. 6963 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(6711(a,1),6962(a,1,1,1))]. 6964 (((x \ 1) * y) \ y) * T(L(y,x \ 1,x) / x,x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(118(a,2),6031(a,1,2))]. 6965 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3138(a,1),6119(a,1,2,1,1))]. 6966 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3341(a,1),6965(a,1,2))]. 6967 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(66,a,5714,a(flip),b,6473,a),flip(a)]. 6969 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1417(a,1),6967(a,1,1))]. 6970 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(66,a,5827,a(flip),b,6969,a)]. 6971 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) / (x \ T(y,z)) = 1 / (x \ y). [para(6729(a,1),6613(a,1,1))]. 6972 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1673(a,2),6834(a,1,2))]. 6973 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(265,a,6972,a)]. 6974 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5994(a,1),6973(a,1,2)),flip(a)]. 6975 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5144(a,1),6974(a,2,2))]. 6976 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(90(a,1),6975(a,1,1,2,1))]. 6977 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(90(a,1),6976(a,2,2,1,2))]. 6978 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(122,a,802,a(flip),b,6977,a(flip))]. 6979 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(122,a,6977,a(flip),b,6787,a(flip))]. 6982 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [para(117(a,1),6978(a,2,1))]. 6983 L(K(x,y),y \ 1,z) = K(x,y). [hyper(66,a,5490,a(flip),b,6979,a)]. 6984 x * K(y,z) != u * (T(z,y) \ 1) | u * (z \ 1) = x. [para(6979(a,1),134(a,1,2)),flip(b)]. 6986 K(L(x,y \ 1,z) \ 1,y) = K(x \ 1,y). [hyper(66,a,5977,a(flip),b,6983,a)]. 6988 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6982(a,1),4922(a,1,1)),flip(a)]. 6989 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(66,a,4313,a(flip),b,6988,a)]. 6990 ((((x / y) \ 1) * x) \ x) \ x = ((y \ x) \ 1) * x. [para(90(a,1),6989(a,2,1,1,1))]. 6991 ((x / y) \ 1) * (y * (x / y)) = ((y \ x) \ 1) * x. [hyper(66,a,4316,a(flip),b,6990,a)]. 6992 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * ((y * x) / x)). [para(16(a,1),6991(a,1,1,1)),flip(a)]. 6993 ((x \ (y * x)) \ 1) * (y * x) = (y \ 1) * (x * y). [para(16(a,1),6992(a,2,2,2))]. 6994 a((1 / (1 / (x \ y))) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [para(118(a,1),4825(a,1,2))]. 6996 a((1 / ((x \ y) \ 1)) \ y,x \ y,z) = a(y * (1 / (1 / (y \ x))),y / x,z). [hyper(66,a,4994,a(flip),b,6994,a)]. 6997 a(x * (1 / (1 / (x \ y))),x / y,z) = a((y \ x) \ x,y \ x,z). [para(87(a,1),6996(a,1,1,1)),flip(a)]. 6999 a(x * ((1 / (x \ y)) \ 1),x / y,z) = a((y \ x) \ x,y \ x,z). [hyper(66,a,3936,a(flip),b,6997,a)]. 7000 a((x \ y) \ y,x \ y,z) = a(x,y / x,z). [para(183(a,1),6999(a,1,1)),flip(a)]. 7001 a(T(x,x \ y),x \ y,z) = a(x,y / x,z). [para(117(a,2),7000(a,1,1))]. 7002 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((K(y,y \ 1) / u) \ w)). [para(4996(a,1),4993(a,2,2))]. 7003 x \ K((x * ((1 / y) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [hyper(66,a,5498,a,b,5057,a)]. 7004 x \ K((x * ((y \ 1) / x)) \ 1,z) = (y \ T(y * K(x \ 1,x),z)) / x. [para(6747(a,1),7003(a,1,2))]. 7005 x \ K((x * ((y \ 1) / x)) \ 1,z) = ((y \ T(y,z)) * K(x \ 1,x)) / x. [para(6273(a,1),7004(a,2,1))]. 7006 x \ K((x * ((y \ 1) / x)) \ 1,z) = (K(y,z) * K(x \ 1,x)) / x. [para(5125(a,2),7005(a,2,1,1))]. 7007 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / T(x,x \ 1)). [hyper(124,a,2701,a(flip),b,7006,a),flip(a)]. 7008 K((x * ((y \ 1) / x)) \ 1,z) = x * (K(y,z) / ((x \ 1) \ 1)). [para(117(a,1),7007(a,2,2,2))]. 7009 (x / y) * T(T((x / y) \ 1,z),u) = (x * T(T(x \ y,z),u)) / y. [para(5829(a,1),5512(a,1,1,2,1)),flip(a)]. 7010 (x * y) * T((y * T(x,y)) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),5748(a,1,1))]. 7011 (x * y) * T((x * y) \ T(x,y),z) = y * (T(x,y) * T(x \ (y \ x),z)). [para(116(a,1),7010(a,1,2,1,1))]. 7012 R(K(R(x,y,z),u),R(x,y,z),y * z) = ((T(x,u) * y) * z) / ((x * y) * z). [para(112(a,1),5919(a,1,1)),flip(a)]. 7013 ((T(x,y) * z) * u) / ((x * z) * u) = K(R(x,z,u),y). [hyper(4477,a,7012,a),flip(a)]. 7014 R(K(x,y),x * z,u) = K(R(x,z,u),y). [hyper(5579,a,7013,a)]. 7016 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,6922,a(flip),b,7014,a)]. 7017 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(66,a,3686,a(flip),b,7014,a),flip(a)]. 7018 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(15(a,1),7014(a,1,2)),flip(a)]. 7019 R(K(x,y),K(z,x) * u,w) = K(R(x,T(x,z) \ u,w),y). [para(5157(a,1),7014(a,1,2))]. 7020 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5529(a,1),7014(a,1,2)),flip(a)]. 7021 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(66,a,3613,a,b,7017,a)]. 7022 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(122,a,7017,a(flip),b,3613,a)]. 7023 K(R(x,x \ 1,y),z) = K(x,z). [hyper(285,a,352,a(flip),b,7018,a),flip(a)]. 7024 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [para(110(a,1),7018(a,1,1))]. 7026 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(37,a,3692,a,b,7021,a)]. 7027 R(x,y,z) \ T(x,x \ 1) = x * (1 / R(x,y,z)). [para(7022(a,1),5216(a,1,2)),flip(a)]. 7028 (1 / x) \ (1 / R(x,y,z)) = R(x,y,z) \ x. [hyper(128,a,7026,a)]. 7030 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(66,a,5013,a(flip),b,7028,a)]. 7031 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(90(a,1),7024(a,1,1,2,1)),flip(a)]. 7032 R(K((x / y) / z,u),x / y,y) = K(x / (z * y),u). [para(17(a,1),7031(a,2,1,1))]. 7033 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(17(a,1),7031(a,2,1,2))]. 7034 (R(x,y,z) \ x) * K(x,x \ 1) = x * (1 / R(x,y,z)). [hyper(3900,a,7027,a)]. 7035 R(K(x \ (y / z),y / z),y / z,z) = K(y / (x * z),y / z). [para(6477(a,1),7032(a,1,1))]. 7036 (R(x,y,z) \ x) * K(x,R(x,u,w) \ 1) = x * (1 / R(x,y,z)). [para(6093(a,2),7034(a,1,2))]. 7037 K(L(x,y,x),(((x * (y * x)) / x) * z) / ((u * y) * z)) = K(R(L(x,y,x),y,z),u \ L(x,y,x)). [para(4231(a,2),7016(a,1,2,1,1))]. 7038 (R(x,y,z) \ x) / x = 1 / R(x,y,z). [hyper(4344,a,7036,a)]. 7039 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(136,a,7038,a)]. 7040 x / R(x,y,z) = R(x,y,z) \ x. [hyper(66,a,1616,a(flip),b,7039,a)]. 7041 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(136,a,7040,a)]. 7042 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(7040(a,1),6098(a,1,1,2))]. 7043 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(4704(a,1),7041(a,1,1,1))]. 7044 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(7041(a,1),4926(a,1,1,1))]. 7045 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(5287,a,7044,a)]. 7046 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(4704(a,1),7043(a,1,2))]. 7047 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(322,a,7046,a)]. 7048 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(66,a,4854,a(flip),b,7047,a)]. 7049 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [hyper(124,a,7048,a(flip),b,117,a(flip))]. 7050 (x * y) / L(y,x,y * K(x * y,y)) = (R(y * K(x,y),x,y) * x) / y. [para(5191(a,1),5926(a,1,1))]. 7051 (x / L(y,x,y * K(x * y,y))) * y = (R(y * K(x,y),x,y) * x) / y. [hyper(1563,a,7050,a)]. 7052 (x / L(y,x,y * K(x * y,y))) * y = (x * R(y,x,y)) / y. [para(5245(a,1),7051(a,2,1))]. 7053 (x / L(y,x,y * K(x * y,y))) * y = T(y * x,y) / y. [para(4250(a,1),7052(a,2,1))]. 7054 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = (K(w,v5) / v5) / (K(x \ (z * y),(z * y) \ x) / T(v5,w)). [para(6876(a,1),6131(a,2,2,1))]. 7055 (T(K(x \ 1,y),z) * (x \ 1)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(90(a,1),6222(a,1,1,2,1))]. 7056 ((x \ 1) * T(K(x \ 1,y),z)) * x = T(K(x \ 1,y),z) * K(x \ 1,x). [para(3349(a,1),7055(a,1,1))]. 7057 T(K(x \ 1,y),z) * K(x \ 1,x) = (x \ T(K(x \ 1,y),z)) * x. [para(6384(a,1),7056(a,1,1)),flip(a)]. 7058 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ T(K(x \ 1,z),y)) * x. [para(6080(a,2),7057(a,1,1))]. 7059 K(T(x,y) \ 1,z) * K(x \ 1,x) = (x \ K(T(x,y) \ 1,z)) * x. [para(6080(a,2),7058(a,2,1,2))]. 7060 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(285,a,4932,a,b,6351,a)]. 7061 ((x * y) * T(T((x * y) \ x,y),z)) / x = T(y \ K(y,x),z) * ((x * y) / x). [hyper(66,a,7009,a(flip),b,6536,a)]. 7062 (x * (y * T(T(y \ 1,y),z))) / x = T(y \ K(y,x),z) * ((x * y) / x). [para(831(a,1),7061(a,1,1))]. 7063 T(x \ K(x,y),z) * ((y * x) / y) = (y * (T(x \ 1,z) * x)) / y. [para(221(a,1),7062(a,1,1,2)),flip(a)]. 7064 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3839(a,1),7060(a,1,1)),flip(a)]. 7065 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(7064(a,1),6372(a,1,1)),flip(a)]. 7066 K((x / y) \ 1,x * K(y,z)) = T(y,z) / T(x * (y / x),z). [para(7064(a,1),6373(a,1,2)),flip(a)]. 7067 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3657(a,1),5009(a,1,2))]. 7068 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4869(a,1),5010(a,1,2)),flip(a)]. 7069 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(285,a,23,a,b,7068,a),flip(a)]. 7072 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1388(a,1),7069(a,1,2)),flip(a)]. 7074 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(66,a,6983,a(flip),b,7072,a),flip(a)]. 7077 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [hyper(124,a,7074,a(flip),b,23,a(flip))]. 7078 R(x,y,K(z,y \ 1)) = x. [hyper(475,a,7077,a)]. 7080 R(x,y \ 1,K(z,y)) = x. [para(4596(a,1),7078(a,1,3))]. 7081 R(x,y \ z,K(u,z \ y)) = x. [para(6392(a,1),7078(a,1,3))]. 7082 T(x,y) / ((y \ 1) * K(x,y)) = x / (y \ 1). [hyper(66,a,5209,a(flip),b,7080,a)]. 7083 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7081(a,1),462(a,1,1))]. 7084 T(x,y) / (T(y,x) \ 1) = x / (y \ 1). [para(5128(a,1),7082(a,1,2))]. 7085 (x / (y \ 1)) \ T(x,y) = T(y,x) \ 1. [hyper(180,a,7084,a)]. 7087 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7083(a,1),6890(a,1,2))]. 7088 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(66,a,6612,a(flip),b,7087,a),flip(a)]. 7090 T(x,(y \ z) * (z \ y)) = x. [hyper(57,a,7088,a)]. 7093 T(x,y * ((z * y) \ z)) = x. [para(14(a,1),7090(a,1,2,1))]. 7096 K(x,y * ((z * y) \ z)) = 1. [hyper(58,a,7093,a)]. 7098 T(x,y) * K(R(x,z,u) * y,T(x,y)) = R(x,y,R(T(x,y),z,u)). [hyper(774,a,5398,a),flip(a)]. 7099 T(x * K(R(x,y,z) * u,x),u) = R(x,u,R(T(x,u),y,z)). [hyper(5890,a,7098,a)]. 7100 ((x * y) * z) \ (R(y,x,z) * (x * z)) = K((((x * y) * z) \ (x * z)) \ 1,x). [para(223(a,1),5815(a,1,2))]. 7101 K((((x * y) * z) \ (x * z)) \ 1,x) = ((x * y) * z) \ ((y * x) * z). [para(112(a,1),7100(a,1,2)),flip(a)]. 7102 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(66,a,5704,a(flip),b,5974,a),flip(a)]. 7104 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(285,a,5830,a(flip),b,7102,a),flip(a)]. 7105 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,5704,a(flip),b,7104,a)]. 7107 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(66,a,5830,a(flip),b,7105,a)]. 7108 T(x * L(L(y,z,u),x,y),y * K(x,y)) = L(y * K(x,y),z,u) * T(x,y). [para(6836(a,1),6077(a,1,1))]. 7109 T(x * L(L(y,z,u),x,y),y * K(x,y)) = T(x,y) * L(y,z,u). [hyper(285,a,5718,a(flip),b,7108,a),flip(a)]. 7110 T(x * L(L(y,x,y),z,u),y * K(x,y)) = T(x,y) * L(y,z,u). [para(35(a,1),7109(a,1,1,2))]. 7111 ((x * y) * z) / ((x * T(x \ (x * y),u)) * z) = K(u,R(y * K(x,y),x,z)). [para(1354(a,1),6118(a,1,2))]. 7112 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(y * K(x,y),x,z)). [para(14(a,1),7111(a,1,2,1,2,1))]. 7113 (1 / (L(K(x,y),z,u) / y)) * K(y * L(K(y,x),z,u),y \ 1) = y * L(K(y,x),z,u). [para(6779(a,1),6609(a,1,1))]. 7114 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,x \ y). [hyper(66,a,5602,a(flip),b,6905,a),flip(a)]. 7116 K(x,y / (z * ((z \ 1) * x))) = K(x,x \ y). [hyper(66,a,6904,a(flip),b,7114,a)]. 7117 K(x,y / L(x,z \ 1,z)) = K(x,x \ y). [para(242(a,1),7116(a,1,2,2))]. 7118 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,x \ y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(5623(a,2),6964(a,1,2,1))]. 7119 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(66,a,4842,a(flip),b,7067,a)]. 7120 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3749(a,1),7119(a,1,2))]. 7121 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5664,a,7120,a),flip(a)]. 7123 R(x,1 / y,z) = R(x,y \ 1,z). [para(1103(a,1),7121(a,1,2)),flip(a)]. 7127 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7123(a,1),3589(a,1,2))]. 7128 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2954(a,1),7127(a,1,2,1))]. 7129 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4039(a,1),7128(a,1,2,1)),flip(a)]. 7130 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4711(a,1),7129(a,1,1)),flip(a)]. 7131 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(180,a,7130,a)]. 7132 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(66,a,3425,a(flip),b,7131,a)]. 7133 T(x,y * (((z * K(u \ 1,u)) \ 1) \ w)) = T(x,y * ((K(u,u \ 1) / z) \ w)). [para(90(a,1),4997(a,1,2,2,1,1,1))]. 7135 T(x,y * ((K(z,z \ 1) / u) \ w)) = T(x,y * ((u \ K(z,z \ 1)) \ w)). [para(3735(a,1),7133(a,1,2,2,1)),flip(a)]. 7136 T(x,(K(y \ 1,y) * z) * ((u \ 1) \ w)) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [hyper(66,a,7002,a,b,7135,a)]. 7137 T(x,K(y \ 1,y) * (z * ((u \ 1) \ w))) = T(x,z * ((u \ K(y,y \ 1)) \ w)). [para(3646(a,1),7136(a,1,2))]. 7138 T(x,y * ((z \ K(u,u \ 1)) \ w)) = T(x,y * ((z \ 1) \ w)). [hyper(66,a,4809,a(flip),b,7137,a),flip(a)]. 7140 K(x,y * ((z \ K(u,u \ 1)) \ w)) = x \ T(x,y * ((z \ 1) \ w)). [hyper(122,a,7138,a(flip),b,5130,a(flip)),flip(a)]. 7141 K(x,y * ((z \ K(u,u \ 1)) \ w)) = K(x,y * ((z \ 1) \ w)). [hyper(285,a,5125,a,b,7140,a),flip(a)]. 7142 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(1905(a,1),7141(a,1,2,2,1))]. 7143 K(x,(y \ 1) * ((1 / y) \ z)) = K(x,z). [para(15(a,1),7142(a,2,2))]. 7144 K(x,y * (((z \ 1) \ 1) \ u)) = K(x,y * (z \ u)). [para(87(a,1),7142(a,1,2,2,1)),flip(a)]. 7145 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(90(a,1),7142(a,1,2,2)),flip(a)]. 7146 K(x,y * (((1 / z) * (u * z)) \ (u * (u * z)))) = K(x,y * ((z \ 1) \ u)). [para(2770(a,2),7142(a,1,2,2))]. 7147 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(14(a,1),7143(a,1,2,2)),flip(a)]. 7148 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2960(a,1),7143(a,1,2,2))]. 7149 K(x,K(y \ 1,y) * z) = K(x,z). [para(2991(a,1),7143(a,1,2))]. 7150 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2649(a,1),7149(a,1,2)),flip(a)]. 7153 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2915(a,1),7149(a,1,2))]. 7154 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2976(a,1),7149(a,1,2))]. 7155 K(x,(y \ L(y * (z / y),u,w)) * y) = K(x,L(z * K(y,y \ 1),u,w)). [para(3130(a,1),7149(a,1,2))]. 7156 K(x,(K(y \ 1,y) * z) / u) = K(x,z / u). [para(3656(a,2),7149(a,1,2))]. 7157 K(x,y \ ((z \ 1) \ 1)) = K(x,y \ z). [para(3892(a,1),7149(a,1,2)),flip(a)]. 7158 K(x,y \ (1 / z)) = K(x,y \ (z \ 1)). [para(4852(a,1),7149(a,1,2)),flip(a)]. 7159 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4883(a,2),7149(a,1,2))]. 7160 K(x,((1 / y) * z) \ u) = K(x,((y \ 1) * z) \ u). [para(4884(a,1),7149(a,1,2))]. 7161 K(x,y \ (z / (1 / u))) = K(x,y \ (z / (u \ 1))). [para(4886(a,1),7149(a,1,2))]. 7163 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4895(a,1),7149(a,1,2))]. 7164 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(5020(a,2),7149(a,1,2))]. 7165 K(x,y / (z * K(u,u \ 1))) = K(x,y / z). [para(5021(a,2),7149(a,1,2))]. 7167 K(x,(1 / x) * y) * y = x * (y / x). [para(7147(a,2),5571(a,1,1))]. 7169 K(x,R(y \ 1,y,z) \ u) = K(x,(z / (y * z)) \ u). [para(2933(a,2),7153(a,1,2,1))]. 7170 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(66,a,6208,a(flip),b,7154,a),flip(a)]. 7171 x * K(x \ (1 / y),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(7154(a,1),3621(a,1,2))]. 7172 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = R(K(x \ 1,y \ x),z,u). [para(7157(a,1),6934(a,1,1)),flip(a)]. 7173 (1 / x) * K(y,y \ (x \ 1)) = y * ((1 / x) / y). [hyper(124,a,7158,a(flip),b,5434,a)]. 7174 (x \ (1 / y)) * K(x,x \ (y \ 1)) = (1 / y) / x. [hyper(124,a,7158,a(flip),b,5408,a)]. 7175 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5729(a,1),7167(a,1,1))]. 7176 K(x,(y * (1 / z)) / u) = K(x,(y * (z \ 1)) / u). [para(2649(a,1),7156(a,1,2,1)),flip(a)]. 7178 K(x,(T(y \ 1,y) * z) / u) = K(x,((y \ 1) * z) / u). [para(3743(a,1),7156(a,1,2,1))]. 7179 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(1906(a,1),7159(a,1,2,1,1))]. 7180 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(2860(a,1),7159(a,1,2,1))]. 7181 K(x,((1 / y) \ z) \ u) = K(x,((y \ 1) \ z) \ u). [para(2975(a,1),7159(a,1,2,1)),flip(a)]. 7182 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(3637(a,1),7159(a,1,2)),flip(a)]. 7183 K(x,y / (K(z \ 1,z) * u)) = K(x,y / u). [para(1906(a,1),7164(a,1,2,2,1))]. 7184 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(2888(a,1),7164(a,1,2,2))]. 7185 K(x,y / ((1 / z) * u)) = K(x,y / ((z \ 1) * u)). [para(2947(a,1),7164(a,1,2,2))]. 7186 K(x,y / (z * (u / ((w \ 1) \ 1)))) = K(x,y / (z * (u / w))). [para(4879(a,1),7164(a,1,2,2)),flip(a)]. 7187 K(x,y / (T(z \ 1,z) * u)) = K(x,y / ((z \ 1) * u)). [para(5158(a,1),7164(a,1,2,2)),flip(a)]. 7188 K(x,y / (z * (1 / (1 / (z \ u))))) = K(x,y / u). [para(2617(a,1),7165(a,1,2,2))]. 7189 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(66,a,4666,a(flip),b,7170,a)]. 7190 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(66,a,4665,a(flip),b,7170,a),flip(a)]. 7191 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [hyper(124,a,7170,a(flip),b,5434,a),flip(a)]. 7192 ((x * y) \ x) * (x * y) = x * K(y \ 1,y * x). [para(7190(a,1),5500(a,2,2))]. 7193 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7190(a,1),6211(a,1,2))]. 7194 K(x,((((y \ 1) \ 1) * z) \ u) \ w) = K(x,((y * z) \ u) \ w). [para(4894(a,1),7179(a,1,2,1))]. 7195 K(x,L(K(y \ 1,y) * z,u,w) \ v5) = K(x,L(z,u,w) \ v5). [para(5036(a,2),7179(a,1,2,1))]. 7196 K(x,y \ (z * T(u,u \ 1))) = K(x,y \ (z * u)). [para(2835(a,1),7182(a,1,2,2))]. 7197 K(x,y \ (((z \ 1) \ 1) * u)) = K(x,y \ (z * u)). [para(2888(a,1),7182(a,1,2,2))]. 7198 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2947(a,1),7182(a,1,2,2))]. 7199 K(x,y / ((z / (1 / u)) * w)) = K(x,y / ((z / (u \ 1)) * w)). [para(3710(a,1),7183(a,1,2,2))]. 7200 K(x,y / ((((z \ 1) \ 1) \ u) * w)) = K(x,y / ((z \ u) * w)). [para(3711(a,1),7183(a,1,2,2))]. 7201 K(x,y / ((((z \ 1) \ 1) * u) \ w)) = K(x,y / ((z * u) \ w)). [para(4894(a,1),7183(a,1,2,2))]. 7202 K(x,y / (z * (T(u \ 1,w) * u))) = K(x,y / (z * K(u \ 1,w))). [para(5962(a,1),7183(a,1,2,2))]. 7203 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [hyper(66,a,6611,a,b,7160,a)]. 7204 x * (K(x \ 1,x) * K(y,y \ (1 / (x \ 1)))) = y * ((1 / (1 / x)) / y). [para(7161(a,1),5619(a,1,2,2))]. 7206 K(x,(y * ((z \ 1) \ 1)) / u) = K(x,(y * z) / u). [para(87(a,1),7176(a,1,2,1,2)),flip(a)]. 7207 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(66,a,2922,a(flip),b,7191,a),flip(a)]. 7208 ((1 / ((1 / x) * (x / y))) \ y) * K(((1 / x) * (x / y)) \ 1,a(1 / x,x / y,y)) = y / (1 / ((1 / x) * (x / y))). [para(865(a,1),7193(a,1,2,2))]. 7209 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(6497,a,7207,a)]. 7210 x * K(y,x * (y \ 1)) = y * (x / y). [para(3341(a,1),7207(a,1,2))]. 7211 K(x,y * (x \ 1)) = K(x,x \ y). [hyper(37,a,5435,a,b,7210,a),flip(a)]. 7212 T(x,y * (x \ 1)) = T(x,y / x). [hyper(224,a,7210,a(flip),b,6321,a),flip(a)]. 7214 K(x,y * (1 / x)) = K(x,x \ y). [hyper(66,a,7150,a,b,7211,a)]. 7215 T(x,y * (x \ 1)) = T(x,x \ y). [hyper(285,a,4123,a(flip),b,7212,a),flip(a)]. 7216 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(7214(a,1),5344(a,1,2)),flip(a)]. 7217 K(x * (1 / y),y) = K(y \ x,y). [hyper(285,a,5344,a(flip),b,7216,a),flip(a)]. 7218 K(x * (y \ 1),y) = K(y \ x,y). [hyper(66,a,6688,a(flip),b,7217,a)]. 7219 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(87(a,1),7217(a,1,1,2)),flip(a)]. 7220 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(66,a,5328,a(flip),b,7218,a)]. 7221 K(x \ (y / (x \ 1)),x) = K(y,x). [para(17(a,1),7218(a,1,1)),flip(a)]. 7222 (T(x,y) / (y \ 1)) / (y \ (x / (y \ 1))) = y * K(x,y). [para(7221(a,1),5390(a,2,2))]. 7223 K(R(x,y,y \ 1),y) = K(x,y). [hyper(285,a,625,a(flip),b,7220,a),flip(a)]. 7224 K(x,y) = T(y,R(x,y,y \ 1)) \ y. [hyper(5297,a,7223,a),flip(a)]. 7226 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(7223(a,1),6520(a,1,1))]. 7227 T(x,R(y,x,x \ 1)) = T(x,y). [hyper(5138,a,7224,a),flip(a)]. 7228 K(x,y) = ((y * x) * (y \ 1)) \ R(x,y,y \ 1). [hyper(285,a,3789,a,b,7224,a),flip(a)]. 7229 K(x,y) = x \ T(x,R(y,x,x \ 1)). [hyper(122,a,7227,a,b,5130,a(flip)),flip(a)]. 7230 K(x,R(y,x,x \ 1)) = K(x,y). [hyper(285,a,5125,a,b,7229,a)]. 7231 K(x,y) = R(y,x,x \ 1) \ ((x * y) * (x \ 1)). [hyper(285,a,3769,a,b,7229,a),flip(a)]. 7232 K(x,y) \ ((x * y) * (x \ 1)) = R(y,x,x \ 1). [para(7230(a,1),5426(a,1,1))]. 7233 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(285,a,6408,a(flip),b,7219,a),flip(a)]. 7234 K(x * y,y \ 1) = K(y * x,y \ 1). [hyper(66,a,4660,a(flip),b,7219,a),flip(a)]. 7235 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [hyper(124,a,7219,a(flip),b,97,a),flip(a)]. 7236 T(x \ K(x * y,x \ 1),y * x) = x \ 1. [para(7234(a,1),5252(a,1,1,2))]. 7237 (x * y) * T(x \ 1,y * x) = (x \ 1) * (x * y). [para(7236(a,1),5597(a,1,1)),flip(a)]. 7238 T(((x * y) * (x \ 1)) \ T((x * y) * (x \ 1),x),z) = T(K(x,y),z) \ 1. [para(7231(a,2),4369(a,2,1,1))]. 7239 K(x,y) * ((y * x) * (y \ 1)) = R(x,y,y \ 1). [hyper(5464,a,7232,a)]. 7240 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(7209(a,1),6433(a,1,1)),flip(a)]. 7241 K(x * y,(x * y) \ y) = K(y * x,x \ 1). [hyper(5771,a,7235,a)]. 7242 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(15(a,1),7235(a,2,2,1))]. 7243 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(225,a,7237,a),flip(a)]. 7244 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),y * x). [para(7243(a,1),1830(a,1,2,1,1))]. 7245 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T((x \ 1) * L((x \ 1) \ 1,z,u),x * y). [para(7243(a,2),1830(a,1,1))]. 7246 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(16(a,1),7175(a,2,2))]. 7247 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(5313,a,7246,a),flip(a)]. 7248 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(66,a,7023,a,b,7247,a)]. 7249 K(x,L((1 / x) * y,z,u)) = K(x,L(x \ y,z,u)). [para(2961(a,1),7247(a,1,2))]. 7250 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(K(x,x \ 1) * y,z,u)). [para(2984(a,1),7249(a,1,2,1)),flip(a)]. 7251 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(66,a,5982,a(flip),b,7226,a),flip(a)]. 7252 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1246(a,1),7251(a,1,2,1))]. 7253 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [hyper(180,a,7252,a),flip(a)]. 7254 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(337,a,7253,a)]. 7255 (x / y) * (((y \ (z / (y \ 1))) * y) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(7222(a,1),1334(a,2,1,2))]. 7256 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(4596(a,1),7240(a,1,2))]. 7257 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(7218(a,1),7256(a,1,2)),flip(a)]. 7258 x * ((y * (x / y)) \ 1) = K(y \ x,y). [hyper(124,a,7257,a,b,xx)]. 7260 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(66,a,4738,a(flip),b,7254,a)]. 7261 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(285,a,5055,a(flip),b,7260,a),flip(a)]. 7262 x * K(x \ (y \ 1),(y \ 1) \ x) = (1 / (1 / (x * y))) / y. [para(6697(a,1),7171(a,1,2))]. 7263 K(x,y / (z * ((u \ 1) * x))) = K(x,y / (z * (x / u))). [hyper(66,a,6904,a(flip),b,7186,a)]. 7264 K(x,L((1 / y) * z,u,w) \ v5) = K(x,L((y \ 1) * z,u,w) \ v5). [para(2948(a,1),7195(a,1,2,1,1)),flip(a)]. 7265 K(x,y / ((z / ((u \ 1) \ 1)) * w)) = K(x,y / ((z / u) * w)). [para(87(a,1),7199(a,1,2,2,1,2)),flip(a)]. 7266 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6392(a,1),7242(a,2,2))]. 7267 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = y * (x / y). [hyper(285,a,5435,a(flip),b,7266,a),flip(a)]. 7269 T(x,x \ y) / (y \ x) = x * (y / x). [hyper(66,a,6216,a,b,7267,a)]. 7270 (x * (y / x)) * (y \ x) = T(x,x \ y). [hyper(136,a,7269,a)]. 7271 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [para(597(a,1),7269(a,1,1))]. 7272 (x \ y) / (y \ (y / x)) = (x \ y) * x. [hyper(285,a,4741,a(flip),b,7271,a),flip(a)]. 7273 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(388,a,7272,a)]. 7274 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [para(14(a,1),7273(a,1,3)),flip(a)]. 7275 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(66,a,3776,a(flip),b,7274,a)]. 7276 ((x \ y) * x) \ (y / (y / x)) = L((x \ y) \ 1,x \ y,x). [para(4197(a,1),7274(a,1,2))]. 7277 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(7275(a,1),1591(a,1,1,2))]. 7278 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(1831,a,7277,a)]. 7279 (x * y) \ T(x,y) = (y * x) \ x. [hyper(66,a,4525,a(flip),b,7278,a)]. 7280 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(316,a,7279,a),flip(a)]. 7281 (x * y) * T(R(1 / y,y,x),x * y) = T(x,y). [hyper(124,a,6214,a,b,7279,a)]. 7282 a(1 / (x * y),x,y) \ T((1 / (x * y)) * x,y) = (y * ((1 / (x * y)) * x)) \ ((1 / (x * y)) * x). [para(246(a,1),7279(a,1,1))]. 7283 x * (T(y,x) * T(y \ (x \ y),z)) = (y * x) * T((x * y) \ y,z). [para(7279(a,1),7011(a,1,2,1)),flip(a)]. 7284 T(x,y) = R(1 / y,y,x) * (x * y). [hyper(263,a,7281,a),flip(a)]. 7285 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(123,a,7281,a(flip),b,116,a(flip))]. 7286 R(1 / x,x,y) \ T(y,x) = y * x. [hyper(122,a,7281,a(flip),b,116,a(flip))]. 7287 T(x,y) = (x / (y * x)) * (x * y). [hyper(285,a,365,a(flip),b,7284,a),flip(a)]. 7288 (x / (y * x)) \ T(x,y) = x * y. [hyper(122,a,7284,a,b,365,a(flip))]. 7289 (x * y) * T((x * y) \ T(x,y),z) = T(R(1 / y,y,x),z) * (x * y). [para(7284(a,2),414(a,1,2,1,2))]. 7290 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(123,a,7287,a,b,152,a(flip))]. 7291 (x / (y * x)) * T(x * y,z) = T(x,y) * K(x * y,z). [para(7287(a,2),6322(a,1,1)),flip(a)]. 7293 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = ((x \ 1) * y) * K(x,x \ 1). [para(7288(a,1),3928(a,1,1)),flip(a)]. 7294 R(1 / x,x,T(y,x)) = R(1 / x,x,y). [hyper(622,a,7285,a)]. 7295 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R((T(x,y) / (x * y)) \ 1,z,u). [para(7285(a,1),1514(a,1,1)),flip(a)]. 7296 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4076(a,1),7290(a,1,1))]. 7297 R(1 / x,x,y / x) = R(1 / x,x,x \ y). [para(118(a,1),7294(a,1,3)),flip(a)]. 7298 R(1 / x,x,x \ y) \ (y / x) = x * (y / x). [para(7297(a,1),367(a,1,1))]. 7299 ((x \ y) / y) * (x * (y / x)) = y / x. [para(7298(a,1),723(a,1,2))]. 7300 T(x,y) / ((y \ 1) \ x) = x / ((x \ ((y \ 1) \ x)) * x). [para(3029(a,1),7296(a,1,1))]. 7301 T(x,x \ y) / ((y \ x) \ x) = x / ((x \ ((y \ x) \ x)) * x). [para(5233(a,1),7296(a,1,1))]. 7303 (T(x,y) / ((y \ 1) \ x)) \ x = (x \ ((y \ 1) \ x)) * x. [hyper(180,a,7300,a(flip))]. 7304 ((x \ y) * x) \ (y / (y / x)) = y \ x. [hyper(285,a,357,a(flip),b,7276,a),flip(a)]. 7305 (1 / (1 / (x * y))) / y = y \ (1 / (1 / (y * x))). [hyper(66,a,2755,a(flip),b,7262,a),flip(a)]. 7306 (1 / x) * (1 / (1 / ((1 / x) \ y))) = x \ (1 / (1 / (x * y))). [hyper(66,a,3620,a,b,7305,a)]. 7307 K(x \ 1,R(y * (x \ 1),z,u) \ 1) = K(R(x,z,u) \ 1,y \ x). [hyper(285,a,5969,a(flip),b,7172,a),flip(a)]. 7308 (x * y) * T((y * x) \ x,z) = K(y \ 1,z) * T(x,y). [hyper(6187,a,7283,a),flip(a)]. 7309 (x * y) * T((y * x) \ x,z) != u | K(y \ 1,z) * T(x,y) = u. [para(7283(a,1),6187(a,1))]. 7310 (x * y) * T((x * y) \ T(x,y),z) = R(T(1 / y,z),y,x) * (x * y). [para(32(a,2),7289(a,2,1))]. 7311 R(T(1 / x,y),x,z) * (z * x) = (z * x) * T((x * z) \ z,y). [para(7279(a,1),7310(a,1,2,1)),flip(a)]. 7312 R(T(1 / x,y),x,z) * (z * x) = K(x \ 1,y) * T(z,x). [hyper(285,a,7308,a(flip),b,7311,a),flip(a)]. 7313 R(T(1 / x,y),x,z) * (z * x) != u | K(x \ 1,y) * T(z,x) = u. [para(7311(a,2),7309(a,1))]. 7314 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * (x \ K(x \ 1,y)). [hyper(285,a,1490,a,b,7312,a),flip(a)]. 7315 K(x,y * (((1 / z) * (K(u,w) * z)) \ (w * (T(T(w,u),u) \ z)))) = K(x,y * ((z \ 1) \ K(u,w))). [para(6086(a,1),7146(a,1,2,2,2))]. 7316 K(x,x * (x \ L(x * (y / x),z,u))) = K(x,L(y * K(x,x \ 1),z,u)). [hyper(66,a,6626,a(flip),b,7155,a)]. 7317 x * (K(x \ 1,x) * K(y,y \ x)) = y * ((1 / (1 / x)) / y). [para(87(a,1),7204(a,1,2,2,2,2))]. 7319 T(x * ((1 / (1 / y)) / x),K(z,y)) = y * (K(y \ 1,y) * K(x,x \ y)). [hyper(285,a,4929,a,b,7317,a)]. 7320 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(6551,a,7233,a)]. 7322 T(((x * y) * (x \ 1)) \ R(y,x,x \ 1),z) = T(K(x,y),z) \ 1. [para(718(a,1),7238(a,1,1,2))]. 7323 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(7228(a,2),7322(a,1,1)),flip(a)]. 7324 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(185,a,7323,a)]. 7325 T(K(x,y),z) * T(K(y,x),z) = 1. [hyper(138,a,7323,a)]. 7326 R(x,T(K(y,z),u),T(K(y,z),u) \ 1) = (x * T(K(y,z),u)) * T(K(z,y),u). [hyper(124,a,7323,a(flip),b,465,a),flip(a)]. 7327 K(x,y) * T(K(y,x),z) = K(z,K(x,y)). [hyper(124,a,7323,a(flip),b,5134,a(flip))]. 7328 T(K(x,R(y \ 1,z,u) \ 1),w) = T(R(K(y,x),z,u),w) \ 1. [para(5973(a,1),7323(a,1,1,1)),flip(a)]. 7329 T(K(x,y),z) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7323(a,1),5357(a,1,2,1))]. 7331 K(K(x,y),z) = K(z,K(y,x)). [hyper(5478,a,7327,a)]. 7332 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [hyper(2240,a,7327,a)]. 7333 (x * y) \ (y * (x * T(K(x,y),z))) = K(z,K(y,x)). [hyper(66,a,6608,a,b,7327,a)]. 7334 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(7327(a,1),5478(a,1))]. 7335 K(x,y) * K(y,T(x,z)) = K(x * z,K(x,y)). [para(6441(a,1),7327(a,1,2))]. 7336 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(124,a,7331,a,b,5125,a(flip))]. 7337 K(x,K(y,z)) * K(x,K(z,y)) = 1. [hyper(124,a,7331,a(flip),b,5320,a)]. 7338 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(7331(a,1),5190(a,2,1)),flip(a)]. 7339 K(x,K(y,z)) * u != 1 | K(x,K(z,y)) = u. [para(7331(a,1),5364(a,1,1))]. 7340 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(7331(a,1),5219(a,1,1))]. 7341 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5610,a,7336,a),flip(a)]. 7342 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5377,a,7336,a)]. 7343 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(7336(a,1),5191(a,1,1))]. 7344 T(K(x,y),K(z,y)) = K(x,y). [hyper(2235,a,7342,a),flip(a)]. 7345 T(K(x,y),K(x,z)) = K(x,y). [hyper(2230,a,7342,a),flip(a)]. 7346 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(124,a,7344,a(flip),b,5449,a),flip(a)]. 7347 K(x,y) * K(z,y) = K(z,y) * K(x,y). [hyper(124,a,7344,a(flip),b,27,a(flip))]. 7351 K(K(x,y),y * z) = K(z * y,K(y,x)). [hyper(66,a,6527,a(flip),b,7332,a)]. 7352 x \ K(y,z) != K(y,z) * K(u,z) | K(z,u) = x. [para(7346(a,1),51(a,1)),flip(a)]. 7353 K(x * y,K(y,z)) = K(y * x,K(y,z)). [hyper(66,a,7331,a(flip),b,7351,a),flip(a)]. 7354 T(K(x,R(y \ 1,z,u) \ 1),w) = R(T(K(y,x),w),z,u) \ 1. [para(32(a,2),7328(a,2,1))]. 7355 T(R(K(x,y),z,u) \ 1,w) = R(T(K(x,y),w),z,u) \ 1. [para(5975(a,1),7354(a,1,1))]. 7356 ((x \ 1) / (y * (x \ 1))) \ T(1 / x,y) = (1 / x) * y. [hyper(285,a,2950,a(flip),b,7293,a),flip(a)]. 7357 K(x,L(y * K(x,x \ 1),z,u)) = K(x,L(x * (y / x),z,u)). [para(15(a,1),7316(a,1,2)),flip(a)]. 7359 K(x,L(K(x,x \ 1) * y,z,u)) = K(x,L(x * (y / x),z,u)). [para(2398(a,2),7357(a,1,2,1))]. 7360 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(x * (y / x),z,u)). [hyper(66,a,7250,a,b,7359,a)]. 7361 K(x,L(x \ ((x \ 1) \ y),z,u)) = K(x,L(y,z,u)). [hyper(285,a,6630,a(flip),b,7360,a),flip(a)]. 7362 K(x \ 1,x) * K(y,y \ x) = (x \ 1) * (y * (x / y)). [hyper(6276,a,7319,a),flip(a)]. 7363 (1 / x) * (y * (x / y)) = K(y,y \ x). [hyper(2955,a,7362,a)]. 7364 K(x,x \ y) * K(y \ 1,y) = (y \ 1) * (x * (y / x)). [hyper(2412,a,7362,a)]. 7365 x / (K(y \ x,y) * ((x \ 1) \ 1)) = (x \ 1) * (y * (x / y)). [hyper(66,a,5468,a,b,7362,a)]. 7366 x * (y * ((x \ 1) / y)) = K(y,y \ (x \ 1)). [hyper(315,a,7363,a)]. 7368 (x * ((1 / y) / x)) * y = K(x,x \ (y \ 1)). [hyper(4947,a,7366,a)]. 7369 K(x,(x * y) \ 1) = K(x,x \ (y \ 1)). [hyper(6622,a,7368,a)]. 7370 (x * K(y,y \ 1)) / K(z,z \ y) = x / ((y \ 1) * (z * (y / z))). [para(7364(a,1),4840(a,2,2))]. 7371 x / T((y \ x) * y,x \ 1) = (x \ 1) * (y * (x / y)). [para(6189(a,1),7365(a,1,2))]. 7372 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(7323(a,1),7326(a,1,3)),flip(a)]. 7373 R(x,T(K(y,z),u),T(K(z,y),u)) != w * T(K(z,y),u) | x * T(K(y,z),u) = w. [para(7372(a,1),47(a,1))]. 7374 (x / y) * ((T(z,y) / (y \ 1)) / (y \ (z / (y \ 1)))) = (x * (y * K(z,y))) / y. [para(931(a,1),7255(a,1,2,1))]. 7375 (x * (y * K(z,y))) / y = (x / y) * (y * K(z,y)). [para(7222(a,1),7374(a,1,2)),flip(a)]. 7376 ((x / y) * (y * K(z,y))) \ (x * (y * K(z,y))) = y. [hyper(180,a,7375,a)]. 7377 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [para(6393(a,1),7376(a,1,1))]. 7378 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(709,a,7377,a)]. 7379 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(138,a,7377,a)]. 7380 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7377(a,1),240(a,1,2)),flip(b)]. 7382 L(x,K(y,x),z) = x. [para(3185(a,1),7378(a,1,1))]. 7383 L(R(x,y,z),K(u,x),w) = R(x,y,z). [para(7382(a,1),34(a,1,1)),flip(a)]. 7384 L(L(x,y,z),K(u,x),w) = L(x,y,z). [para(7382(a,1),35(a,1,1)),flip(a)]. 7385 (x * K(y,z)) * T(z,u) = x * (K(y,z) * T(z,u)). [para(7382(a,1),413(a,1,2,1))]. 7388 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = (x * (R(z,u,w) * K(y,z))) / (K(y,z) * R(z,u,w)). [para(7383(a,1),3249(a,1,2,2)),flip(a)]. 7389 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = (x * (K(y,z) * L(z,u,w))) / (K(y,z) * L(z,u,w)). [para(7384(a,1),444(a,1,2,2)),flip(a)]. 7390 (x * K(y,z)) * z = (x * z) * K(y,z). [hyper(285,a,6394,a,b,7379,a),flip(a)]. 7392 (x * K(y,z)) * K(z,y) = x. [hyper(38,a,6336,a(flip),b,7379,a),flip(a)]. 7393 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(123,a,7379,a(flip),b,6336,a)]. 7394 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(6322(a,1),7379(a,1,1)),flip(a)]. 7395 (x * (T(y,z) \ 1)) * K(y,z) = x * (y \ 1). [hyper(6984,a,7392,a),flip(a)]. 7396 x / K(y,z) = x * K(z,y). [hyper(293,a,7392,a),flip(a)]. 7398 T(x * K(y,z),K(z,y)) = K(y,z) * x. [hyper(224,a,7392,a,b,5360,a)]. 7399 (x * K(y,z)) \ x = K(z,y). [hyper(128,a,7392,a)]. 7400 (((x \ y) \ y) * K(z,u)) \ T(x,x \ y) = K(u,z). [hyper(122,a,117,a,b,7392,a)]. 7401 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [hyper(38,a,7343,a,b,7392,a),flip(a)]. 7402 (x * T(y,z)) * K(z,y) = x * y. [hyper(38,a,6322,a,b,7392,a),flip(a)]. 7403 (x / y) * K(z,y) = x / T(y,z). [hyper(38,a,6319,a,b,7392,a),flip(a)]. 7404 (T(x,y) \ K(x,z)) * K(z,x) = T(x,y) \ 1. [hyper(38,a,6045,a,b,7392,a),flip(a)]. 7405 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(38,a,5631,a,b,7392,a),flip(a)]. 7406 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(38,a,2229,a,b,7392,a),flip(a)]. 7408 (x * K(y,z)) / z = x / T(z,y). [hyper(123,a,7392,a(flip),b,6321,a),flip(a)]. 7409 x * K(y,z) != u | u * K(z,y) = x. [para(7392(a,1),47(a,1)),flip(a)]. 7410 x / K(y,z) != u | x * K(z,y) = u. [para(7392(a,1),294(a,1,1)),flip(b)]. 7411 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7392(a,1),304(a,1,2)),flip(b)]. 7413 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7392(a,1),103(a,1,1))]. 7414 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7392(a,1),113(a,2,1))]. 7415 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7392(a,1),447(a,1,2,2))]. 7416 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7392(a,1),647(a,1,1,2))]. 7417 (x * K(y,z)) * T(z,y) = x * z. [para(7392(a,1),6311(a,1,1)),flip(a)]. 7418 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7392(a,1),6977(a,1,1)),flip(a)]. 7419 (x / T(y,z)) / K(z,y) = x / y. [hyper(285,a,6319,a(flip),b,7396,a),flip(a)]. 7420 (x * K(y,y \ 1)) / K(z,y) = x * (T(y,z) * (1 / y)). [hyper(285,a,5814,a(flip),b,7396,a),flip(a)]. 7421 (x * K(y,y \ 1)) * K(z \ y,z) = x / ((y \ 1) * (z * (y / z))). [hyper(66,a,7370,a(flip),b,7396,a),flip(a)]. 7422 (x * K(y,z)) * K(z,y) != u | x = u. [para(7396(a,1),237(a,1,1))]. 7425 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7396(a,1),487(a,1,1))]. 7426 T(x * (y * K(z,u)),L(K(u,z),y / K(u,z),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),708(a,1,1,2))]. 7427 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z / K(x,y)). [para(7396(a,1),1847(a,1,1,2))]. 7428 x / (K(y,z) \ 1) = x * K(y,z). [para(5320(a,2),7396(a,1,2))]. 7431 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(285,a,5950,a(flip),b,7399,a),flip(a)]. 7432 (x / T(y,z)) * y = x * K(z,y). [hyper(42,a,6359,a,b,7399,a)]. 7433 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7399(a,2),5334(a,1,1))]. 7434 (x / y) \ (x / T(y,z)) = K(z,y). [para(6319(a,1),7399(a,1,1))]. 7435 (T(x,y) * z) \ (x * z) = K(y,T(x,z)). [para(6320(a,1),7399(a,1,1))]. 7436 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6344(a,2),7399(a,1,1))]. 7437 (x \ T(x * y,z)) \ y = K(z,(x \ 1) \ y). [para(6462(a,2),7399(a,1,1))]. 7438 K(x,(y \ 1) \ (y \ z)) = (y \ T(z,x)) \ (y \ z). [para(6461(a,1),7399(a,1,1)),flip(a)]. 7439 (x * K((y \ z) \ u,y * u)) \ x = K((y \ 1) \ u,z \ (y * u)). [para(6759(a,1),7399(a,1,1,2))]. 7440 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(7018(a,1),7399(a,1,1,2)),flip(a)]. 7441 T(x * T(y,z),K(z,y)) = K(y,z) * (x * y). [hyper(224,a,7402,a,b,5360,a)]. 7444 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7402(a,1),6311(a,1,1)),flip(a)]. 7445 ((x * T(y,z)) / z) * K(z,y) = (x * y) / z. [para(7402(a,1),6348(a,1,1)),flip(a)]. 7447 x / T(y \ x,z) = y * K(z,y \ x). [hyper(315,a,7403,a),flip(a)]. 7448 (x / y) * K(x,y) = T(x,y) / y. [hyper(285,a,4120,a,b,7403,a),flip(a)]. 7450 T(x / y,K(x,y)) = x / y. [hyper(224,a,7403,a,b,5584,a)]. 7452 x / T(y \ x,z) != u | y * K(z,y \ x) = u. [para(7403(a,1),315(a,1))]. 7453 T(x / y,K(y,x)) = x / y. [hyper(43,a,7342,a,b,7450,a)]. 7455 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(7405(a,1),113(a,2,2))]. 7456 T(x / T(y,z),y) = y \ (x * K(z,y)). [para(7408(a,1),118(a,1,1))]. 7457 T(x * K(y,z),T(z,y)) = T(z,y) \ (x * z). [hyper(224,a,7417,a,b,15,a)]. 7458 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(128,a,7417,a)]. 7459 (x * (y / x)) / T(y,z) = K(x,x \ y) * K(z,y). [hyper(123,a,5197,a(flip),b,7417,a)]. 7460 (K(x,y) * K(z,y * x)) \ (x * y) = T(y * x,z). [hyper(122,a,5146,a(flip),b,7417,a)]. 7461 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(122,a,15,a(flip),b,7417,a)]. 7468 K(x,y) * (z / (K(y,x) \ 1)) = T(z,K(y,x)). [hyper(224,a,7428,a(flip),b,5360,a),flip(a)]. 7470 x * K(y,z) != u * z | x / T(z,y) = u. [para(7432(a,1),47(a,1))]. 7475 (x \ y) \ (y / T(T(x,x \ y),z)) = K(z,T(x,x \ y)). [para(249(a,1),7434(a,1,1))]. 7477 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(66,a,5402,a(flip),b,7448,a)]. 7479 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) != u | L(z,K(x,y),x / y) = u. [para(7448(a,1),447(a,1,1))]. 7481 T(x,((y \ x) * y) \ 1) = (z * K(x \ 1,x)) \ (z * x). [para(6889(a,1),7458(a,1,1,2)),flip(a)]. 7485 T(x * K(y,x),z) \ T(x,z) != u | K(T(x,z),y) = u. [para(5595(a,1),7411(a,1,1))]. 7486 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5795(a,1),7411(a,1,1))]. 7487 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5798(a,1),7411(a,1,1))]. 7493 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(6322(a,1),7422(a,1,1))]. 7495 K(x,y) * z != (u * K(x,y)) * y | T(u * y,K(x,y)) = z. [para(7390(a,2),225(a,2))]. 7496 T(K(x,y) * z,K(x,y)) = z * K(x,y). [hyper(43,a,7342,a,b,7398,a)]. 7499 K(x,y) * T(K(y,x) * z,u) != w | T(z * K(y,x),u) * K(x,y) = w. [para(7398(a,1),383(a,1,2,1))]. 7500 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(5334(a,2),7401(a,1,1))]. 7502 (((x \ y) \ y) * z) \ (x * z) = K(x \ y,T(x,z)). [para(117(a,1),7435(a,1,1,1))]. 7504 ((x * (y * T(y \ z,u))) / z) \ x = K(u,((x * y) / z) \ x). [para(1413(a,1),7436(a,1,1))]. 7505 R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). [para(7436(a,1),2570(a,2,1,2,1))]. 7507 (x * T(y,z)) * T(z,y) = R(x,y,z) * (y * z). [hyper(285,a,112,a,b,7444,a),flip(a)]. 7508 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7444(a,1),4149(a,1,2))]. 7509 (x * K(y,x \ z)) \ z != u | T(x \ z,y) = u. [para(7447(a,1),307(a,1,1)),flip(b)]. 7511 T(T(K(x,y) * z,u),K(x,y)) = T(z * K(x,y),u). [para(7496(a,1),28(a,1,1)),flip(a)]. 7512 T(K(x,y) * z,K(x,y)) != K(x,y) * u | T(z,K(x,y)) = u. [para(7496(a,2),225(a,2)),flip(a)]. 7513 x / T(K(y,z),x) = K(y,z) \ x. [hyper(38,a,4116,a,b,7500,a)]. 7514 (K(x,y) \ z) \ z = T(K(x,y),z). [hyper(180,a,7513,a)]. 7515 (K(x,y) * z) \ z = T(K(y,x),z). [para(5334(a,1),7514(a,1,1))]. 7516 x * ((K(y,z) * x) \ x) = K(z,y) * x. [hyper(124,a,7515,a,b,27,a(flip))]. 7518 (x * T(y / z,z)) * z = (x * (y / z)) * (y / (y / z)). [para(5129(a,2),7394(a,1,2)),flip(a)]. 7519 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [para(7394(a,1),5583(a,1,1))]. 7520 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | K(z,y) = u. [para(7395(a,1),7411(a,1,1))]. 7521 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5150(a,1),7418(a,1,2,1))]. 7522 K(x,((y / z) \ 1) \ z) = ((y / z) \ T(y,x)) \ z. [para(17(a,1),7437(a,1,1,2,1)),flip(a)]. 7523 (1 / K(x,y)) * (z / (K(x,y) \ 1)) = T(z,K(x,y)). [para(5344(a,2),7468(a,1,1))]. 7526 R(x,T(y,z),T(z,y)) = R(x,y,z). [hyper(4153,a,7507,a)]. 7530 K(x,((T(y,x) / z) \ 1) \ ((T(y,x) / z) \ y)) = z \ ((T(y,x) / z) \ y). [para(90(a,1),7438(a,2,1))]. 7531 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(66,a,6104,a(flip),b,7440,a),flip(a)]. 7532 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(124,a,6104,a(flip),b,7440,a(flip))]. 7533 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [hyper(185,a,7531,a)]. 7535 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(6267(a,1),7531(a,1,1,2)),flip(a)]. 7536 x * K(R(K(y,z),u,w) \ 1,R(K(y,z),u,w) * x) = R(K(z,y),u,w) * (x * R(K(y,z),u,w)). [para(7531(a,1),7192(a,1,1)),flip(a)]. 7537 (x * R(K(y,z),u,w)) \ x != v5 | R(K(z,y),u,w) = v5. [para(7532(a,1),304(a,1,2)),flip(b)]. 7539 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(7535(a,2),7411(a,1))]. 7540 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5764(a,1),7477(a,1,2))]. 7541 R(x,x \ 1,y \ R(y,x \ 1,y)) = (y \ R(y,x \ 1,y)) / (T(y * (x \ 1),y) / y). [para(7540(a,1),200(a,2,2))]. 7542 R((x / L(K(y,z) \ 1,u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(949(a,2),7425(a,2,2))]. 7543 R((x / R(K(y,z),u,u \ 1)) * K(y,z),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(5446(a,1),7425(a,2,2))]. 7544 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(T(T(x,z),u),y) = w. [para(5595(a,1),7485(a,1,1,1))]. 7546 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7508(a,1),647(a,1))]. 7548 L(K(x,y),y \ 1,z) != u | K(x,y) = u. [para(5490(a,1),7520(a,1))]. 7549 K((x * y) \ 1,x) != z | K(y \ (x \ 1),x) = z. [para(6662(a,1),7548(a,1))]. 7550 K(x / ((y * z) * x),y) != u | K(z \ (y \ 1),y) = u. [para(5834(a,2),7549(a,1))]. 7551 K(x,R(y,y \ z,u)) != w | R(K(x,y),z,u) = w. [para(7440(a,2),7537(a,1))]. 7552 K(x,R(R(y,z,u),z * u,w)) != v5 | R(K(x,R(y,z,u)),(y * z) * u,w) = v5. [para(176(a,1),7551(a,1,2,2))]. 7553 x / ((T(y,z) \ 1) * y) = x * (T(y,z) * (1 / y)). [hyper(66,a,5802,a(flip),b,7420,a)]. 7554 ((T(x,y) \ 1) * x) \ 1 = T(x,y) * (1 / x). [hyper(4701,a,7553,a)]. 7555 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = ((T(y,z) \ 1) * y) * ((T(y,z) * (1 / y)) * x). [para(7554(a,1),242(a,1,2,1)),flip(a)]. 7556 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5981(a,1),7431(a,1,1,2))]. 7557 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(185,a,7556,a)]. 7558 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(140,a,7556,a),flip(a)]. 7559 (((x \ y) \ y) * L(K(z,u),w,v5)) \ T(x,x \ y) = L(K(u,z),w,v5). [hyper(66,a,278,a,b,7556,a)]. 7560 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(7556(a,1),297(a,1,2)),flip(b)]. 7561 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),7556(a,1,1))]. 7562 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(7558(a,1),46(a,1)),flip(a)]. 7563 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(7558(a,1),304(a,1,2)),flip(b)]. 7565 T(x,((y \ x) * y) \ 1) = T(x,x \ 1). [hyper(285,a,7458,a(flip),b,7481,a),flip(a)]. 7566 T(x,(y * (x / y)) \ 1) = T(x,x \ 1). [para(90(a,1),7565(a,1,2,1,1))]. 7567 (x * (y / z)) * (y / (y / z)) = (x * (z \ y)) * z. [para(118(a,1),7518(a,1,1,2)),flip(a)]. 7568 R(x,y,z * K(y,z)) = R(x,T(y,z),z). [hyper(479,a,7519,a),flip(a)]. 7572 (((x * y) * T((x * y) \ (y * z),u)) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(1184(a,2),7504(a,1,1,1))]. 7573 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5335(a,1),7521(a,1,1,2))]. 7574 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5738(a,1),7573(a,2,2))]. 7575 R(x,K(y \ 1,z),y) = x. [hyper(5005,a,7574,a)]. 7576 L(x \ 1,K(x,y),z) = x \ 1. [hyper(445,a,7574,a)]. 7577 R(x,y,K(y \ 1,z)) = x. [hyper(6862,a,7575,a)]. 7579 (x * y) * K(y \ 1,z) = x * (y * K(y \ 1,z)). [para(7577(a,1),112(a,1,1)),flip(a)]. 7580 L(K(x \ 1,y),x,z) = K(x \ 1,y). [hyper(445,a,7579,a)]. 7581 a(x,y,K(y \ 1,z)) = 1. [hyper(56,a,7580,a)]. 7582 a(x,y \ 1,K(y,z)) = 1. [para(3341(a,1),7581(a,1,3))]. 7583 L(K(x,y),x \ 1,z) = K(x,y). [hyper(55,a,7582,a)]. 7584 K(x,L(y,x \ 1,z) \ 1) = K(x,y \ 1). [hyper(66,a,5946,a(flip),b,7583,a)]. 7585 T(x,L(y,x \ 1,z) \ 1) = x * K(x,y \ 1). [hyper(124,a,7584,a(flip),b,5125,a(flip)),flip(a)]. 7586 T(x,L(y,x \ 1,z) \ 1) = T(x,y \ 1). [hyper(285,a,5130,a,b,7585,a),flip(a)]. 7587 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7415,a,7561,a)]. 7588 ((K(x,y) / z) * (z * K(y,x))) \ (K(x,y) / z) = 1 / (z * K(y,x)). [para(7396(a,1),7427(a,2,2))]. 7589 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [hyper(7411,a,7439,a),flip(a)]. 7590 ((K(x,y) / z) * (z * K(y,x))) * (1 / (z * K(y,x))) = K(x,y) / z. [hyper(138,a,7588,a)]. 7591 ((x * (y * T(y \ (x \ (y * z)),u))) / z) \ y = K(u,((y * T(x,y)) / z) \ y). [para(830(a,1),7572(a,1,1,1))]. 7592 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((y * T(x,y)) / z) \ y). [para(116(a,1),7591(a,1,1,1,2))]. 7593 ((x * ((y \ (x \ (y * z))) * y)) / z) \ y = K(y,((x * y) / z) \ y). [para(116(a,1),7592(a,2,2,1,1))]. 7594 ((x * (y * T(y \ z,x))) / z) \ x = K(x,((y * x) / z) \ x). [para(4972(a,1),7593(a,1,1,1))]. 7595 K(x,((y * x) / z) \ x) = K(x,((x * y) / z) \ x). [hyper(66,a,7504,a(flip),b,7594,a),flip(a)]. 7596 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(66,a,5835,a(flip),b,7189,a),flip(a)]. 7598 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(66,a,5835,a(flip),b,7596,a),flip(a)]. 7600 (x * (y / x)) / (((x \ 1) * y) \ y) = ((x \ 1) * y) * K(x,x \ y). [para(6538(a,1),5401(a,1,2)),flip(a)]. 7601 (x * (y / x)) / (((x \ 1) * y) \ y) = y / R(x,x \ 1,y). [hyper(285,a,6765,a(flip),b,7600,a),flip(a)]. 7602 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(5167(a,2),5411(a,1,2,1,2,2))]. 7603 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(66,a,2155,a(flip),b,7602,a)]. 7604 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(116(a,1),7603(a,1,1,2))]. 7605 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4940(a,1),7604(a,1,1))]. 7606 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(295,a,7605,a)]. 7608 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7606(a,1),6877(a,1,1))]. 7609 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(295,a,7608,a),flip(a)]. 7610 x * K(T(y,z) \ x,y) = (y \ x) * y. [hyper(6366,a,7609,a)]. 7612 x / T(y,T(y,z) \ x) = y \ x. [hyper(7470,a,7610,a)]. 7613 K(T(x,y) \ z,x) = K(x \ z,x). [hyper(37,a,271,a,b,7610,a),flip(a)]. 7615 T(x,T(x,y) \ z) = T(x,x \ z). [hyper(39,a,249,a,b,7612,a),flip(a)]. 7618 K((x / y) \ z,x / y) = K((y \ x) \ z,x / y). [para(118(a,1),7613(a,1,1,1)),flip(a)]. 7620 T(x * K(x \ y,x),z) \ y = y / T(x,z). [para(7613(a,1),5869(a,1,1,1,2))]. 7623 T(x,x \ (T(x,y) * z)) = T(x,z). [para(14(a,1),7615(a,1,2)),flip(a)]. 7625 T(T(x,y) * z,T(x,z)) = T(T(x,y) * z,x). [para(7623(a,1),3979(a,1,2))]. 7626 T(x,K(x,y) * z) = T(x,z). [para(5514(a,1),7623(a,1,2))]. 7627 T(x,K(x,y) \ z) = T(x,z). [para(15(a,1),7626(a,1,2)),flip(a)]. 7628 T(x,K(y,x) * z) = T(x,z). [para(5360(a,1),7626(a,1,2)),flip(a)]. 7629 T(x,T(y,x) * z) = T(x,y * z). [para(5158(a,1),7626(a,1,2)),flip(a)]. 7630 T(x,T(x,y) * z) = T(x,x * z). [para(5219(a,1),7626(a,1,2))]. 7633 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7626(a,1),5595(a,1,1))]. 7634 T(x,(y / x) \ z) = T(x,(x \ y) \ z). [para(5854(a,1),7626(a,1,2)),flip(a)]. 7635 T(x,x * (T(x,y) \ z)) = T(x,z). [para(5196(a,2),7627(a,1,2))]. 7637 T(x,K(y,x) * T(x,z)) = x. [hyper(285,a,170,a(flip),b,7628,a),flip(a)]. 7638 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7628(a,1),4524(a,1,3))]. 7639 T(x,y * T(z,x)) = T(x,y * z). [para(5832(a,1),7628(a,1,2))]. 7640 T(x,y \ T(z,x)) = T(x,y \ z). [para(5824(a,1),7628(a,1,2))]. 7642 (T(x,y) * z) \ ((x * y) * z) = R(T(y,x * z),T(x,y),z). [para(7629(a,1),853(a,1,1)),flip(a)]. 7643 T(x,(T(x,y) \ z) * x) = T(x,z). [hyper(66,a,4182,a,b,7635,a)]. 7644 T(x,y \ (z / x)) = T(x,y \ (x \ z)). [para(118(a,1),7640(a,1,2,2)),flip(a)]. 7645 T(x / (x / y),z) \ x = x / T(y,z). [para(5073(a,2),7620(a,1,1,1))]. 7646 L(x,x \ y,x) \ y = y / T(x,y). [para(5097(a,1),7620(a,1,1))]. 7647 x / T(y,L(y,z,u) * (y \ x)) = L(y,y \ x,L(y,z,u)) \ x. [para(5394(a,1),7620(a,1,1)),flip(a)]. 7649 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(185,a,7645,a)]. 7651 T(x / (x / K(y,z)),x) = K(y,z). [hyper(42,a,7513,a(flip),b,7645,a),flip(a)]. 7653 x / T(y \ x,z) = T(x / y,z) \ x. [para(87(a,1),7645(a,1,1,1,2)),flip(a)]. 7654 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(181(a,1),7645(a,1,1,1)),flip(a)]. 7655 T(x,y) / T(z * (x / z),u) = T(z * (x / z),u) \ T(x,y). [para(6942(a,1),7645(a,1,1,1)),flip(a)]. 7656 T(x,y) != K(z,u) | y / (y / K(z,u)) = x. [para(7651(a,1),52(a,1)),flip(a)]. 7658 T(x / (x / y),x) = x / (T(x,y) / y). [para(4120(a,2),7649(a,1,2)),flip(a)]. 7660 T(x / y,z) \ x = y * K(z,y \ x). [hyper(7452,a,7653,a),flip(a)]. 7661 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(180,a,7653,a)]. 7662 x \ (T(y / x,z) \ y) = K(z,x \ y). [hyper(122,a,7653,a(flip),b,7447,a(flip))]. 7664 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(117(a,2),7654(a,1,2,1))]. 7665 x / T(T(y,z),y \ x) = T(y,z) \ x. [para(282(a,2),7654(a,1,2))]. 7666 x / T((y \ x) * y,z) = T((y \ x) * y,z) \ x. [para(5432(a,1),7654(a,1,2,1))]. 7667 L(x,x \ y,x) = y / (T(y,x) / x). [hyper(66,a,4273,a(flip),b,7658,a)]. 7668 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ ((T(z,y) / y) \ z)) * x. [para(7667(a,2),4942(a,1,1,1,2))]. 7669 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(185,a,7660,a)]. 7671 L(K(x,(y \ 1) \ z),y \ 1,y) != u | y * (T(z / (y \ 1),x) \ z) = u. [para(7662(a,1),539(a,1,1))]. 7673 (x \ y) \ (T(x,z) \ y) = K(z,T(x,x \ y)). [para(7664(a,1),7475(a,1,2))]. 7674 T(T(x,y),x \ z) = (T(x,y) \ z) \ z. [hyper(180,a,7665,a),flip(a)]. 7675 (x * y) / (y * K(z,T(x,y))) = T((x * y) / y,z). [para(27(a,2),7669(a,1,2,2,2))]. 7676 T((x \ y) * x,y \ 1) \ y = (y \ 1) * (x * (y / x)). [hyper(66,a,7371,a(flip),b,7666,a),flip(a)]. 7677 (x * y) / (y * K(z,T(x,y))) = T(x,z). [para(16(a,1),7675(a,2,1))]. 7678 T(x,y) \ (x * z) = z * K(y,T(x,z)). [hyper(180,a,7677,a)]. 7679 x \ (K(y,z) \ x) = K(z,T(y,x)). [hyper(5944,a,7678,a)]. 7680 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(5675,a,7678,a),flip(a)]. 7681 K(x,T(y,z)) = T(K(x,y),z). [hyper(5592,a,7678,a),flip(a)]. 7682 x * K(y,T(z,x)) = K(y,z) * x. [hyper(5591,a,7678,a),flip(a)]. 7683 x \ (((y * x) / y) * z) = z * K(y,T(x,z)). [hyper(66,a,4297,a,b,7678,a)]. 7684 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7678(a,1),5591(a,1))]. 7685 T(K(x * y,x),y) = K(x * y,x). [hyper(6122,a,7681,a),flip(a)]. 7686 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(285,a,7338,a,b,7681,a)]. 7687 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(285,a,6459,a,b,7681,a)]. 7688 K(x,T(y,y \ z)) = K(x,T(y,z)). [hyper(285,a,6439,a,b,7681,a)]. 7689 K(x,(y \ z) \ z) = K(x,T(y,z)). [hyper(285,a,6425,a,b,7681,a)]. 7690 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(285,a,6108,a,b,7681,a)]. 7691 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(285,a,6080,a,b,7681,a)]. 7692 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(285,a,6007,a,b,7681,a),flip(a)]. 7693 K(x,T(y,K(x,z))) = K(x,y). [hyper(285,a,7345,a(flip),b,7681,a),flip(a)]. 7694 K(x / y,T(z,x)) = K(y \ x,z). [hyper(285,a,6460,a(flip),b,7681,a),flip(a)]. 7695 K(x,T(y,y * z)) = K(x,T(y,z)). [hyper(285,a,6441,a(flip),b,7681,a),flip(a)]. 7696 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(285,a,6440,a(flip),b,7681,a),flip(a)]. 7697 K(x,T(y / z,y)) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7681,a),flip(a)]. 7698 K(x,T(y,z * (x / z))) = K(x,y). [hyper(285,a,4930,a(flip),b,7681,a),flip(a)]. 7699 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(285,a,3371,a(flip),b,7681,a),flip(a)]. 7700 K(x,T(y,T(x,z))) = K(x,y). [hyper(285,a,3359,a(flip),b,7681,a),flip(a)]. 7701 K(x,T(y,K(z,x))) = K(x,y). [hyper(285,a,2227,a(flip),b,7681,a),flip(a)]. 7702 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(124,a,7681,a,b,7515,a)]. 7703 T(K(x,y),y \ z) = T(K(x,y),z). [hyper(66,a,6439,a(flip),b,7681,a),flip(a)]. 7704 x * T(K(x,y),z) = T(x,T(y,z)). [hyper(124,a,7681,a(flip),b,5125,a(flip))]. 7705 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(30(a,2),7681(a,1,2))]. 7707 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7681(a,2),582(a,1,2,2))]. 7708 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7681(a,2),6549(a,1))]. 7709 K(x,T(y,z)) * T(K(y,x),z) = 1. [para(7681(a,2),7325(a,1,1))]. 7710 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [para(7681(a,2),7327(a,1,2))]. 7711 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7681(a,2),7340(a,2,1))]. 7712 T(R(K(x,y),z,u) \ 1,w) = R(K(x,T(y,w)),z,u) \ 1. [para(7681(a,2),7355(a,2,1,1))]. 7713 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7329(a,1,1))]. 7714 T(K(x,y),K(z,y) * T(y,u)) = K(x,y). [para(7637(a,1),7681(a,1,2)),flip(a)]. 7715 K(x,K(y,T(z,u))) = T(K(x,K(y,z)),u). [para(7681(a,2),7681(a,1,2))]. 7716 T(x * K(y,x),T(y,z)) = T(x,T(y,z)) * K(y,x). [hyper(124,a,7700,a(flip),b,5722,a),flip(a)]. 7717 K(x,y / T(x,z)) = K(x,T(x,z) \ y). [para(118(a,1),7700(a,1,2)),flip(a)]. 7718 T(x,y) * K(z,T(x,T(z,u))) = K(z,x) * T(x,y). [para(7700(a,2),3193(a,1,2))]. 7720 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(118(a,1),7699(a,1,2)),flip(a)]. 7721 T(x,R(y,z,u)) * K(y,x) != w | T(x * K(y,x),R(y,z,u)) = w. [para(7699(a,1),5890(a,1,2))]. 7723 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(7409,a,7682,a)]. 7724 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(37,a,3354,a,b,7682,a),flip(a)]. 7725 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(30(a,2),7682(a,1,2,2))]. 7726 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7682(a,1),46(a,1))]. 7727 T(x,y) * K(z,T(x * y,x)) = K(z,x * y) * T(x,y). [para(3980(a,1),7682(a,1,2,2))]. 7728 K(x,x \ y) * K(z,y) = K(z,y) * K(x,x \ y). [para(5617(a,1),7682(a,1,2,2))]. 7729 K(x * y,x) * y = y * K(x * y,x). [para(5765(a,1),7682(a,1,2)),flip(a)]. 7730 K(x,y / L(x,z,u)) = K(x,L(x,z,u) \ y). [para(118(a,1),7724(a,1,2)),flip(a)]. 7731 K(x,T(y,(1 / (z / x)) * z)) = K(x,y). [para(507(a,1),7724(a,1,2,2))]. 7732 R(x,y,K(z,T(y,u))) = x. [para(7687(a,1),6521(a,1,3))]. 7733 R(x,y \ 1,K(z,T(y,u))) = x. [para(7687(a,1),7080(a,1,3))]. 7734 (x * y) * K(z,T(y,u)) = x * (y * K(z,T(y,u))). [para(7732(a,1),112(a,1,1)),flip(a)]. 7735 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(5150(a,1),7733(a,1,3,2))]. 7736 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(124,a,7688,a(flip),b,7673,a)]. 7737 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,T(((y \ 1) * z) \ z,z)). [para(4313(a,2),7688(a,1,2,2))]. 7738 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [hyper(66,a,617,a,b,7689,a)]. 7739 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(1240(a,1),7689(a,1,2,1))]. 7740 K(x,T(y \ 1,y \ z)) = K(x,T(y \ 1,z)). [para(4286(a,1),7689(a,1,2)),flip(a)]. 7741 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7689(a,1),6634(a,1,1)),flip(a)]. 7742 K(x,T(y * K(z,u),y)) = K(x,K(z,u) * y). [para(7433(a,1),7689(a,1,2)),flip(a)]. 7743 R(K(x / y,T(z,x * u)),x,u) = K((y * u) \ (x * u),z). [hyper(66,a,7031,a,b,7694,a)]. 7744 K(x / y,x \ z) = K(y \ x,z / x). [para(118(a,1),7694(a,1,2))]. 7745 K(L(x,y,z) / u,T(x,w)) = K(u \ L(x,y,z),T(x,w)). [para(199(a,1),7694(a,1,2))]. 7746 T((x / y) \ 1,K(y \ x,z)) = (x / y) \ 1. [para(7694(a,1),1383(a,1,2))]. 7748 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7694(a,1),4072(a,1,3))]. 7750 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5566(a,1),7694(a,1,2))]. 7753 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7694(a,1),7031(a,1,1)),flip(a)]. 7754 K(x,R(T(y / z,y * u),z,u)) = K(x,(z * u) \ (y * u)). [para(490(a,1),7697(a,1,2))]. 7755 K(x,y / (z * (x / z))) = K(x,(z * (x / z)) \ y). [para(118(a,1),7698(a,1,2)),flip(a)]. 7756 x * K(T(y,x),z) = K(y,z) * x. [hyper(7409,a,7702,a)]. 7757 T(K(x,y),y) != z | K(x,y) = z. [para(7703(a,1),192(a,1))]. 7758 T(x,T(y \ 1,z)) = T(x,T(y,z) \ 1). [hyper(6012,a,7704,a),flip(a)]. 7759 (x * y) \ (y * T(x,T(y,z))) = K(z,K(y,x)). [para(7704(a,1),7333(a,1,2,2))]. 7760 K(T(x,y),z) = T(K(x,z),y). [hyper(5364,a,7709,a)]. 7761 K(T(x,y),z) = K(x,T(z,y)). [hyper(285,a,7681,a,b,7760,a),flip(a)]. 7762 K((x \ y) \ y,z) = K(T(x,y),z). [hyper(285,a,6459,a,b,7760,a)]. 7763 K(T(x \ K(x,y),y),z) = K(x \ 1,z). [hyper(285,a,6741,a(flip),b,7760,a),flip(a)]. 7764 K(T(x,y),y / z) = K(x,z \ y). [hyper(285,a,6406,a(flip),b,7760,a),flip(a)]. 7765 x * K(T(y,x),z) = K(z,y) \ x. [hyper(124,a,7760,a,b,5449,a)]. 7767 T(K(x,y),z) * T(x,z) = T(T(x,z),y). [para(7760(a,1),5190(a,2,1)),flip(a)]. 7768 K(T(x * y,x),y) = K(x * y,y). [hyper(285,a,5784,a(flip),b,7761,a),flip(a)]. 7769 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(66,a,7399,a,b,7761,a)]. 7770 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(66,a,3346,a(flip),b,7761,a),flip(a)]. 7771 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(124,a,7761,a(flip),b,7434,a)]. 7772 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(32(a,2),7761(a,1,1))]. 7773 K(T(x,R(y,z,u)),y) = K(x,y). [para(168(a,1),7761(a,2,2))]. 7774 K(x / y,T(z,y)) = K(y \ x,z). [para(118(a,1),7761(a,1,1)),flip(a)]. 7775 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(191(a,1),7761(a,1,1)),flip(a)]. 7776 K((x * y) / x,T(z,x)) = K(y,z). [para(208(a,1),7761(a,1,1)),flip(a)]. 7777 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(197(a,1),7761(a,1,1)),flip(a)]. 7778 K(x \ 1,T(y,K(x,z))) = K(x \ 1,y). [para(1383(a,1),7761(a,1,1)),flip(a)]. 7779 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7761(a,1),5190(a,2,1)),flip(a)]. 7781 R(x,y,K(T(y,z),u)) = x. [para(7761(a,2),6353(a,1,3))]. 7782 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7761(a,1),7409(a,1,2))]. 7783 (x * K(y,T(z,u))) \ x != w | K(z,T(y,u)) = w. [para(7761(a,1),7411(a,1,1,2))]. 7784 (x * K(y,T(x \ z,u))) \ z = T(x \ z,T(y,u)). [para(7761(a,1),7461(a,1,1,2))]. 7785 (x * K(y,T(x \ z,u))) \ z != w | T(x \ z,T(y,u)) = w. [para(7761(a,1),7509(a,1,1,2))]. 7786 R(x,(y * z) / y,K(z,u)) = x. [para(208(a,1),7781(a,1,3,1))]. 7788 (x / ((y * z) / y)) \ (x * K(z,u)) = ((y * z) / y) * K(z,u). [para(7786(a,1),463(a,1,1))]. 7789 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(2102,a,7756,a),flip(a)]. 7790 K(x / y,z) * y = y * K(y \ x,z). [para(118(a,1),7756(a,1,2,1)),flip(a)]. 7792 K(T(x,x \ y),z) = K(T(x,y),z). [para(117(a,2),7762(a,1,1))]. 7793 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(655(a,1),7762(a,1,1,1)),flip(a)]. 7794 K(T(x,y * x),z) = K(T(x,y),z). [para(4140(a,2),7762(a,1,1)),flip(a)]. 7795 K(T(x \ 1,x * y),z) = K(T(x \ 1,y),z). [para(4285(a,2),7762(a,1,1))]. 7796 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7762(a,1),6661(a,1,1)),flip(a)]. 7797 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7433(a,1),7762(a,1,1)),flip(a)]. 7798 K(T(T(x / y,z),x),u) = K(T(y \ x,z),u). [para(7661(a,1),7762(a,1,1)),flip(a)]. 7799 K(T(T(x,y),x \ z),u) = K(T(T(x,y),z),u). [para(7674(a,2),7762(a,1,1))]. 7800 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(197(a,1),7764(a,1,1))]. 7801 K(x,L(L(x,y,z),u,w) / v5) = K(x,v5 \ L(L(x,y,z),u,w)). [para(198(a,1),7764(a,1,1))]. 7802 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(6557,a,7774,a)]. 7803 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(66,a,5836,a(flip),b,7774,a),flip(a)]. 7804 K(x / L(y,z,u),y) = K(L(y,z,u) \ x,y). [para(169(a,1),7774(a,1,2))]. 7806 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7775(a,1),5190(a,2,1))]. 7807 R(x,T(y,z),K(u,y)) = x. [para(7776(a,1),6521(a,1,3))]. 7808 (1 / T(x,y)) \ K(z,x) = T(x,y) * K(z,x). [hyper(4836,a,7807,a),flip(a)]. 7809 (x * K(y,z)) / T(y,u) = x / (T(y,u) * K(z,y)). [hyper(66,a,7414,a(flip),b,7807,a),flip(a)]. 7810 R(x,y \ K(y,z),K(u,y)) = x. [para(5359(a,1),7735(a,1,2))]. 7811 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(66,a,7455,a(flip),b,7810,a)]. 7812 K(x,y / R(T(x,z),u,w)) = K(x,R(T(x,z),u,w) \ y). [para(118(a,1),7777(a,1,2)),flip(a)]. 7813 K(((x / y) * x) \ (y * (x / y)),z) = K((y \ x) \ 1,T(z,x)). [hyper(66,a,6488,a,b,7691,a)]. 7814 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(169(a,1),7691(a,1,1,1)),flip(a)]. 7815 K(x * y,K(x,z)) = K(y,K(x,z)). [hyper(66,a,7335,a(flip),b,7710,a)]. 7816 K(x * y,K(y,z)) = K(x,K(y,z)). [hyper(66,a,7353,a,b,7815,a)]. 7817 R(x,y * z,K(y,K(z,u))) = x. [para(7816(a,1),6353(a,1,3))]. 7818 R(x,y * z,K(y,K(z,u))) != w | x = w. [para(7817(a,1),54(a,2))]. 7819 (x \ 1) * K(y * (x \ 1),y) = K(x \ y,y) * (x \ 1). [para(6712(a,1),7729(a,1,1)),flip(a)]. 7820 K(x,T(y,((z / x) \ 1) * z)) = K(x,y). [para(4813(a,1),7731(a,1,2))]. 7821 (T(x,y) \ z) * T(T(x,z),y) = (x \ z) * T(x,z). [para(7736(a,1),7417(a,1,1))]. 7823 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7769(a,1),7411(a,1))]. 7824 T(1 / x,T(y,K(x,z))) = (1 / x) * K(x \ 1,y). [para(7778(a,1),5177(a,1,2)),flip(a)]. 7825 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5744,a,7779,a)]. 7828 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(285,a,7691,a,b,7803,a)]. 7829 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(285,a,5190,a,b,7806,a),flip(a)]. 7830 T(x,T(y,T(x,z))) = T(x,y). [para(115(a,1),7829(a,1,2,2,1))]. 7832 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(5150(a,1),7829(a,1,2,2,1))]. 7833 T(x / (x / y),T(z,y)) = T(x / (x / y),z). [para(230(a,1),7830(a,1,2,2))]. 7834 T(x * K(y,x),T(z,x)) = T(x * K(y,x),z). [para(5150(a,1),7830(a,1,2,2))]. 7835 x * T(y * K(x,y),T(x,z)) = T(x,y) * T(y,T(x,z)). [para(7830(a,1),5723(a,1,1)),flip(a)]. 7837 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7681(a,2),7825(a,1,2,2))]. 7838 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(66,a,6467,a(flip),b,7828,a)]. 7839 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7838(a,1),5302(a,2,2,2)),flip(a)]. 7842 K(x,(((y / x) \ 1) * y) / z) != u | K(x,z \ (((y / x) \ 1) * y)) = u. [para(7820(a,1),7708(a,1))]. 7843 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(x * (y / x),z)). [para(4184(a,1),7683(a,1,2,1))]. 7844 K(x,L(x,y \ 1,y) \ z) = K(x,x \ z). [hyper(66,a,7117,a(flip),b,7730,a),flip(a)]. 7845 K(x,L(x,y,y \ 1) \ z) = K(x,x \ z). [para(3090(a,1),7844(a,1,2,1))]. 7846 K(L(x,y,y \ 1) \ z,x) = u / (K(x,x \ z) * u). [para(7845(a,1),5448(a,1,2,1)),flip(a)]. 7847 K(x,T((y * z) \ 1,z \ 1)) = K(x,T((y * z) \ 1,y)). [para(6594(a,1),7740(a,1,2))]. 7848 (x * y) \ T(x * y,K(y,z)) = K(z,K(y,x)). [para(6560(a,2),7759(a,1,2))]. 7849 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(118(a,1),7771(a,1,2,2))]. 7850 T((x \ 1) \ 1,y) \ ((T(x,y) \ 1) \ K(z,x)) = T(x,y) \ (T(x,y) * K(z,x)). [para(7808(a,1),3024(a,2,2))]. 7852 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(5130(a,2),7811(a,1,1))]. 7853 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(180,a,7852,a(flip))]. 7854 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(5318(a,1),7853(a,2,2))]. 7855 T(T(x / (x / y),z),T(u,y)) = T(T(x / (x / y),u),z). [para(7833(a,1),28(a,1,1)),flip(a)]. 7856 L(x,y,x * K(y * x,x)) = T(x * K(y,x),x * y). [hyper(66,a,6917,a(flip),b,7834,a)]. 7857 T(x,y) * T(y * K(z,y),x) = (y * K(z,y)) * T(x,y). [hyper(124,a,7834,a(flip),b,27,a(flip))]. 7858 K(x * y,K(y,z)) = K(z,K(y,x)). [hyper(5208,a,7848,a)]. 7859 K(x,K(y,z)) = K(z,K(y,x)). [hyper(66,a,7816,a(flip),b,7858,a)]. 7860 K(K(x,y),z) = K(x,K(y,z)). [hyper(7334,a,7859,a)]. 7861 K(x,K(y,z * y)) = K(x,K(y,z)). [hyper(285,a,7858,a(flip),b,7859,a),flip(a)]. 7862 x * K(y,K(z,x)) = T(x,K(z,y)). [hyper(124,a,7859,a,b,5125,a(flip))]. 7863 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [hyper(124,a,7859,a,b,21,a(flip))]. 7864 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7859(a,1),5142(a,2,1)),flip(a)]. 7865 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7859(a,1),5162(a,1,1))]. 7867 K(x,K(y,z)) * K(z,K(x,y)) = 1. [para(7859(a,1),7337(a,1,1))]. 7868 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(7859(a,1),7338(a,1,1))]. 7869 K(x,K(y,z)) * (K(x,y) * u) = T(K(x,y),z) * u. [para(7859(a,1),7340(a,1,1))]. 7870 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(285,a,5973,a(flip),b,7860,a),flip(a)]. 7871 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [hyper(124,a,7860,a(flip),b,6358,a)]. 7872 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(124,a,7860,a(flip),b,5125,a(flip))]. 7873 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7860(a,1),5180(a,1,2))]. 7875 (K(x,K(y,z)) * u) / (K(x,y) \ u) = T(K(x,y),z). [para(7860(a,1),5525(a,1,1,1))]. 7876 K(L(K(x,y),z,u) \ 1,w) = L(K(y,K(x,w)),z,u). [para(7860(a,1),5983(a,2,1))]. 7877 (x * (y / K(z,u))) / (K(z,u) \ y) = x * K(z,K(u,K(z,u) \ y)). [para(7860(a,1),6578(a,2,2))]. 7878 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(93(a,1),7861(a,1,2,2))]. 7879 K(x,K(y,y * z)) = K(x,K(y,z)). [para(6626(a,1),7861(a,1,2))]. 7881 K(x,K(y,z)) = K(y,K(x,z)). [hyper(7339,a,7867,a)]. 7882 K(K(x,y),z) = K(y,K(z,x)). [hyper(5364,a,7867,a)]. 7883 K(K(x,y),z) = K(y,K(x,z)). [hyper(285,a,7860,a,b,7881,a)]. 7884 K(x,K(y,z)) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7881,a),flip(a)]. 7885 L(K(x \ 1,K(y,z)),u,w) = K(y,K(L(x,u,w) \ 1,z)). [hyper(285,a,5977,a,b,7881,a)]. 7886 K(x,K(y,x \ y)) = 1. [hyper(285,a,5624,a(flip),b,7881,a),flip(a)]. 7888 x * K(y,K(x,z)) = T(x,K(y,z)). [hyper(124,a,7881,a,b,5125,a(flip))]. 7889 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7881(a,1),5190(a,2,1)),flip(a)]. 7891 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7881(a,1),5259(a,1,1))]. 7892 x * (K(y,K(x,z)) * u) = T(x,K(y,z)) * u. [para(7881(a,1),5152(a,1,2,1))]. 7893 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(x,z)). [para(7881(a,1),5525(a,1,1,1))]. 7894 K(x,y) * T(x,K(z,u)) = T(x,y) * K(z,K(x,u)). [para(7881(a,1),5542(a,2,2))]. 7895 (K(x,K(y,z)) * u) / (y \ u) != w | T(y,K(x,z)) = w. [para(7881(a,1),5537(a,1,1,1))]. 7896 (x * y) * K(z,K(y,u)) != w | x * T(y,K(z,u)) = w. [para(7881(a,1),6375(a,1,2))]. 7897 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6626(a,2),7881(a,1,2))]. 7898 R(R(x,y,z),y * z,K(u,K(z,w))) = R(x,y,T(z,K(u,w))). [para(7881(a,1),6899(a,1,3))]. 7900 K(x,K(y,z)) * K(z,x) = K(z,T(x,y)). [para(7881(a,1),7686(a,1,1))]. 7901 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7881(a,1),7862(a,1,2))]. 7902 T(x,K(y,x \ y)) = x. [hyper(59,a,7886,a)]. 7903 K(L(x,y,z),K(u,x \ u)) = L(x,y,z) \ L(x,y,z). [para(7902(a,1),5178(a,1,2,1)),flip(a)]. 7906 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [hyper(124,a,7882,a(flip),b,5125,a(flip))]. 7907 K(K(x,y),z) = K(z,K(x,y)). [hyper(285,a,7859,a,b,7883,a),flip(a)]. 7908 K(x,K(y,z)) = K(x,K(z,y)). [hyper(66,a,7882,a(flip),b,7883,a)]. 7909 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7883(a,1),5146(a,1,1))]. 7910 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5973(a,1),7883(a,1,1)),flip(a)]. 7911 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(5981(a,1),7883(a,1,1)),flip(a)]. 7912 x * K(K(y,z),x) = T(x,K(y,z)). [para(7883(a,2),7862(a,1,2))]. 7913 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [hyper(124,a,7884,a,b,6466,a),flip(a)]. 7914 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [hyper(124,a,7884,a,b,6358,a)]. 7915 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [hyper(124,a,7884,a,b,6574,a(flip)),flip(a)]. 7916 (K(x,y) * z) * K(x,K(y,z)) = z * K(x,y). [hyper(124,a,7884,a,b,21,a(flip))]. 7917 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7884(a,2),5190(a,2,1)),flip(a)]. 7918 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7884(a,2),5259(a,1,1))]. 7919 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7884(a,2),5219(a,1,1))]. 7920 (K(x,K(y,z)) * u) / (y \ u) = T(y,K(z,x)). [para(7884(a,1),5525(a,1,1,1))]. 7921 K(x,K(y,((z \ 1) / u) \ 1)) = K(y,(z \ T(z * u,x)) / u). [para(5826(a,1),7884(a,1,2)),flip(a)]. 7922 L(K(x,y) * K(x,K(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). [para(7884(a,2),5392(a,1,1,2))]. 7923 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7884(a,2),5909(a,1,1))]. 7924 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7761(a,1),7884(a,1,2))]. 7925 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(7884(a,1),7867(a,1,1))]. 7926 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7907(a,1),5545(a,1,1))]. 7927 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7907(a,1),5452(a,1,1))]. 7929 K(x,K(y,z * y)) = K(x,K(z,y)). [hyper(285,a,7861,a,b,7908,a)]. 7930 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7908(a,1),5190(a,2,1)),flip(a)]. 7931 K(x,K(y,L(z \ 1,u,w) \ 1)) = K(x,L(K(z,y),u,w)). [para(5981(a,1),7908(a,1,2)),flip(a)]. 7932 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(6125(a,1),7908(a,1,2)),flip(a)]. 7933 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(7761(a,1),7908(a,1,2))]. 7934 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7774(a,2),7908(a,1,2))]. 7935 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(285,a,7881,a,b,7879,a),flip(a)]. 7936 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(15(a,1),7879(a,1,2,2)),flip(a)]. 7937 K(x,K(y,z)) * K(y * z,y) = K(y * z,T(y,x)). [para(7879(a,1),7686(a,1,1))]. 7939 T(x * y,K(z,(1 / y) \ x)) = K(z,1) * (x * y). [para(935(a,1),7889(a,1,1,2)),flip(a)]. 7940 T(x,K(y,z)) = T(x,K(z,y)). [hyper(66,a,7862,a(flip),b,7901,a)]. 7941 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5668,a,7940,a)]. 7942 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(285,a,7401,a,b,7940,a)]. 7943 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(285,a,7496,a(flip),b,7940,a),flip(a)]. 7944 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [hyper(285,a,7441,a(flip),b,7940,a),flip(a)]. 7945 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7940(a,1),7343(a,1,1))]. 7946 a(x,T(y,K(z,u)),K(z,u)) = a(x,y,T(K(z,u),y)). [para(7912(a,1),6752(a,1,2))]. 7947 R(x,T(K(y,z),u),u) = R(x,K(y,z),T(u,K(y,z))). [para(7912(a,1),7568(a,1,3)),flip(a)]. 7948 K(x,K(y,z)) * z = (1 / K(x,y)) * (z / (K(x,y) \ 1)). [hyper(285,a,7523,a,b,7917,a),flip(a)]. 7950 K(x,K(y,x * y)) = 1. [hyper(285,a,3352,a(flip),b,7929,a),flip(a)]. 7951 K(x,K(y,x * y)) = a(K(z,u),u,w). [hyper(285,a,4401,a,b,7950,a),flip(a)]. 7952 T(x,K(y,x * y)) = x. [hyper(59,a,7950,a)]. 7953 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7930(a,1),5259(a,1))]. 7954 K(x,K(y,x * z)) = K(x,K(y,z)). [hyper(66,a,7881,a,b,7935,a)]. 7955 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(285,a,7884,a,b,7936,a),flip(a)]. 7956 T(x,K(y,y \ z)) = x * K(x,K(y,z)). [hyper(124,a,7936,a(flip),b,5125,a(flip)),flip(a)]. 7957 K(x,K(y,z)) * K(y \ z,y) = K(y \ z,T(y,x)). [para(7936(a,1),7686(a,1,1))]. 7958 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(66,a,7884,a,b,7955,a)]. 7960 K(x,K(x * y,z)) = K(x,K(y,z)). [para(14(a,1),7958(a,1,2,1)),flip(a)]. 7961 K(x,K(x \ y,T(z,y))) = K(x,K(y,z)). [para(5319(a,1),7958(a,2,2))]. 7962 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(66,a,7859,a,b,7960,a)]. 7963 K(x,K(y,y * x)) = a(K(z,u),u,w). [hyper(66,a,7881,a,b,7951,a)]. 7964 K(x,y) * (y * x) = (x * y) * K(z,K(u,u * z)). [para(7963(a,2),5603(a,2,2))]. 7967 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7693(a,1),7868(a,1,1,2)),flip(a)]. 7968 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(285,a,7681,a,b,7872,a),flip(a)]. 7971 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7761(a,1),7906(a,1,2,2))]. 7973 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(66,a,7881,a,b,7924,a)]. 7974 K(x,K(y,T(y \ z,u))) = K(y,K(z,T(x,u))). [hyper(66,a,7958,a(flip),b,7924,a),flip(a)]. 7975 K(x,K(y,T(z,u))) * K(x,z) = T(K(x,z),T(y,u)). [para(7933(a,1),7868(a,1,1))]. 7976 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(6394(a,1),7941(a,1,2))]. 7977 (x * K(y,z)) / x = T(K(y,z),x). [hyper(224,a,7945,a(flip),b,3955,a(flip)),flip(a)]. 7978 ((1 / K(x,y)) * (z / (K(x,y) \ 1))) * K(x,y) = K(x,y) * z. [para(7523(a,2),7945(a,1,1))]. 7979 T(K(x,y),z) * z = z * K(x,y). [hyper(136,a,7977,a)]. 7980 T(T(K(x,y),z),z) = K(x,y). [para(7977(a,1),208(a,1,1))]. 7981 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(7977(a,1),588(a,1,1,1))]. 7982 R(T(K(x,y),z),u,w) * z = z * R(K(x,y),u,w). [para(7977(a,1),594(a,1,1,1))]. 7984 T(K(x \ 1,y),z) = K(x \ K(x,z),y). [hyper(6742,a,7980,a),flip(a)]. 7985 T(K(x,y \ z),z) = K(x,z / y). [hyper(43,a,6406,a,b,7980,a),flip(a)]. 7986 T(K(x,T(y,z)),z) = K(x,y). [hyper(43,a,7681,a(flip),b,7980,a),flip(a)]. 7987 T(x,y) != K(z,u) | T(K(z,u),y) = x. [para(7980(a,1),52(a,1)),flip(a)]. 7988 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(7980(a,1),257(a,1,2,2,1))]. 7989 x / (x / K(y,z)) = K(y,T(z,x)). [hyper(7656,a,7986,a)]. 7990 K(T(x,y),T(z,y)) = K(x,z). [hyper(66,a,7760,a,b,7986,a)]. 7991 K(x,T(T(y,z),z)) = K(x,y). [hyper(66,a,7681,a,b,7986,a)]. 7994 K(x \ y,T(z,y)) = K(y / x,z). [hyper(66,a,6460,a(flip),b,7986,a)]. 7995 K(x,T(y \ z,z)) = K(x,z / y). [hyper(43,a,6406,a,b,7986,a),flip(a)]. 7996 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [hyper(43,a,5150,a,b,7986,a)]. 7997 K(x,T(y,z)) * z = z * K(x,y). [hyper(124,a,7986,a(flip),b,27,a(flip)),flip(a)]. 7998 T(K(x,y \ z),y) = K(x,z / y). [para(118(a,1),7986(a,1,1,2))]. 7999 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(7986(a,1),227(a,1,2))]. 8000 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7986(a,1),223(a,1,2,1)),flip(a)]. 8001 T(K(x \ y,z),x) = K(y / x,z). [para(7774(a,1),7986(a,1,1))]. 8002 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(7986(a,1),7767(a,1,1)),flip(a)]. 8003 K(T(x,y),z \ y) = K(x,y / z). [hyper(7708,a,7990,a)]. 8004 x * K(T(x,y),T(z,y)) = T(x,z). [hyper(124,a,7990,a,b,5125,a(flip))]. 8006 K(x,T(y,z)) \ z = z * K(y,x). [hyper(124,a,7990,a(flip),b,7679,a),flip(a)]. 8007 K(T(T(x,y),z),T(u,y)) = K(T(x,z),u). [para(28(a,1),7990(a,1,1))]. 8008 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(28(a,1),7990(a,1,2))]. 8009 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [para(30(a,2),7990(a,1,1))]. 8010 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(30(a,2),7990(a,1,2))]. 8011 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [para(32(a,2),7990(a,1,1))]. 8012 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(32(a,2),7990(a,1,2))]. 8013 K(x \ y,T(z,x)) = K(y / x,z). [para(118(a,1),7990(a,1,1))]. 8014 K(T(x,y),y \ z) = K(x,z / y). [para(118(a,1),7990(a,1,2))]. 8015 K((x * y) / x,z) = K(y,T(z,x)). [para(208(a,1),7990(a,1,1)),flip(a)]. 8016 K(x,(y * z) / y) = K(T(x,y),z). [para(208(a,1),7990(a,1,2)),flip(a)]. 8017 K(x / (x / y),z) = K(y,T(z,x / y)). [para(230(a,1),7990(a,1,1)),flip(a)]. 8018 K(T(x \ y,z),T(u,x)) = K(T(y / x,z),u). [para(231(a,1),7990(a,1,1))]. 8019 K(R(x \ y,z,u),T(w,x)) = K(R(y / x,z,u),w). [para(233(a,1),7990(a,1,1))]. 8020 K(x,((y * z) * u) / (y * u)) = K(T(x,y),R(z,y,u)). [para(713(a,2),7990(a,1,2)),flip(a)]. 8021 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(981(a,1),7990(a,1,2))]. 8022 K(T(x,x * y) * y,z) = K(x * y,T(z,T(x,y))). [para(1225(a,1),7990(a,1,1)),flip(a)]. 8023 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3991(a,1),7990(a,1,1))]. 8024 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4200(a,1),7990(a,1,2))]. 8025 K(x,(T(y,z) * z) / T(y,z)) = K(T(x,y),z). [para(4114(a,1),7990(a,1,2)),flip(a)]. 8026 K(T(x / (x / y),z),u) = K(T(y,z),T(u,y \ x)). [para(4202(a,1),7990(a,1,1)),flip(a)]. 8027 K(x * K(y,x),z) = K(x,T(z,y)). [para(5150(a,1),7990(a,1,1)),flip(a)]. 8028 K(x,y * K(z,y)) = K(T(x,z),y). [para(5150(a,1),7990(a,1,2)),flip(a)]. 8029 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(5240(a,1),7990(a,1,1)),flip(a)]. 8030 K(x,T(y * K(z,y),u)) = K(T(x,z),T(y,u)). [para(5240(a,1),7990(a,1,2)),flip(a)]. 8031 T(x * K(T(y,z),x),z) = K(y,x) * T(x,z). [para(7990(a,1),5594(a,1,1)),flip(a)]. 8032 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(T(z,y),T(T(x,y),u)). [para(7990(a,1),5721(a,1,1,1,2))]. 8033 K(x,y) * (R(T(y,z),u,w) * (K(T(y,z),T(x,z)) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),6261(a,1,1))]. 8034 R(x,K(y,z),T(y,u)) = x. [para(7990(a,1),6312(a,1,2))]. 8035 K(T(x,y),z) * y = y * K(x,z). [para(7990(a,1),7682(a,1,2)),flip(a)]. 8037 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(8034(a,1),5759(a,1,1)),flip(a)]. 8038 K(x,T(y \ z,y)) = K(x,z / y). [para(118(a,1),7991(a,1,2,1))]. 8040 K(x,R(T(T(y,z),z),u,w)) = K(x,R(y,u,w)). [para(757(a,2),7991(a,1,2))]. 8041 K(x,y \ z) * z = z * K(x,z / y). [para(6406(a,1),7979(a,1,1))]. 8044 R(T(K(x,y \ z),z),z,y \ 1) = K(x,z * (y \ 1)). [para(7985(a,2),6100(a,1,1))]. 8045 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(66,a,7695,a(flip),b,7994,a)]. 8046 K(x / (x / y),z) = K(y,T(z,x)). [hyper(66,a,626,a(flip),b,7994,a),flip(a)]. 8048 K(x \ (K(y,z) * u),T(y,u)) = K((K(y,z) * u) / x,y). [para(7626(a,1),7994(a,1,2))]. 8049 K(x / y,x / z) != u | K(y \ x,z \ x) = u. [para(7994(a,1),7708(a,1))]. 8051 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5630,a,7997,a)]. 8052 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(123,a,7997,a(flip),b,5153,a)]. 8053 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7997(a,1),589(a,1,2,1)),flip(a)]. 8054 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(7997(a,1),5537(a,1,1))]. 8055 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. [para(7997(a,1),5463(a,1,1,3)),flip(a)]. 8056 T(x,y * K(x,z)) = T(x,y). [para(7997(a,1),7626(a,1,2))]. 8058 K(x,y * K(x,z)) = x \ T(x,y). [hyper(122,a,8056,a(flip),b,5130,a(flip)),flip(a)]. 8061 T(x,y * T(x,z)) = T(x,y * x). [para(6322(a,1),8056(a,1,2))]. 8062 T(x,y * K(z,x)) = T(x,y). [para(7392(a,1),8056(a,1,2)),flip(a)]. 8063 T((x \ y) * x,z * K(u,y)) = (x \ T(y,z)) * x. [para(8062(a,1),4932(a,2,1,2))]. 8064 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(8062(a,1),5178(a,1,2,1)),flip(a)]. 8065 T(K(x,y \ z),z) = T(K(x,y \ z),y). [hyper(285,a,7985,a,b,7998,a)]. 8067 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(285,a,5830,a,b,8001,a),flip(a)]. 8069 K(x / y,y / z) != u | K(y \ x,z \ y) = u. [para(8001(a,1),6549(a,1))]. 8071 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8001(a,1),7704(a,1,2))]. 8073 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),(x \ z) / u). [hyper(66,a,7799,a(flip),b,8003,a)]. 8074 K(T(x \ 1,y),z \ (x * y)) = K(x \ 1,(x * y) / z). [hyper(66,a,7795,a(flip),b,8003,a)]. 8075 K(T(x,y),z \ (x \ y)) = K(x,(x \ y) / z). [hyper(66,a,7792,a(flip),b,8003,a)]. 8076 K(x,y / (y / z)) = K(T(x,y),z). [para(90(a,1),8003(a,1,2)),flip(a)]. 8077 K(T(x,x \ y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [para(7215(a,1),8003(a,1,1))]. 8078 ((x * y) / x) * K(y,T(z,x)) = T((x * y) / x,z). [para(208(a,1),8004(a,1,2,1))]. 8079 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(5252(a,1),8004(a,1,2,2)),flip(a)]. 8080 K(x,T(y,z)) * (z * K(y,x)) = z. [hyper(138,a,8006,a)]. 8082 K(x / y,y * K(z,u)) = K(y \ x,K(z,u) * y). [hyper(66,a,7742,a(flip),b,8013,a),flip(a)]. 8083 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(19(a,2),8013(a,1,1)),flip(a)]. 8084 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [para(28(a,1),8013(a,1,2))]. 8085 K(x / (y \ z),z / (z / y)) = K((y \ z) \ x,y). [para(4200(a,1),8013(a,1,2)),flip(a)]. 8086 K((T(x,y) * z) \ u,T(x,x * z)) = K(u / (T(x,y) * z),x). [para(7630(a,1),8013(a,1,2))]. 8087 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(8056(a,1),8013(a,1,2))]. 8088 K(T(x,y),(x \ y) \ z) = K(x,z / (x \ y)). [hyper(66,a,7792,a(flip),b,8014,a)]. 8089 K(L(T(x,y),z,u),y \ w) = K(L(x,z,u),w / y). [para(30(a,2),8014(a,1,1))]. 8090 K(R(T(x,y),z,u),y \ w) = K(R(x,z,u),w / y). [para(32(a,2),8014(a,1,1))]. 8092 K(T(x,x \ y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [para(4118(a,1),8014(a,1,1))]. 8093 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(8062(a,1),8014(a,1,1))]. 8094 R(x,y,z) \ R(x * K((u * w) / u,x),y,z) = K(w,T(R(x,y,z),u)). [hyper(66,a,5805,a,b,8015,a)]. 8095 L(x * K((y * z) / y,x),u,w) / L(x,u,w) = K(z,T(L(x,u,w),y)). [hyper(66,a,5803,a,b,8015,a)]. 8096 K((x * y) / x,T(((x * y) / x) * z,u)) = K(y,T(T(z * ((x * y) / x),u),x)). [hyper(66,a,6628,a(flip),b,8015,a)]. 8097 K(x * T(x \ y,y),z) = K(y,T(z,x \ y)). [para(745(a,1),8015(a,1,1))]. 8098 K(T(x,x * y) * y,z) = K(x * y,T(z,x)). [para(3965(a,1),8015(a,1,1))]. 8099 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3994(a,1),8015(a,1,1))]. 8100 K(R(x * K(y,x),z,u),w) = K(R(x,z,u),T(w,y)). [para(5388(a,2),8015(a,1,1))]. 8101 L(K(x,T(y \ z,u)),y \ z,y) = K((u * x) / u,(z \ y) \ 1). [para(8015(a,1),5953(a,1,1))]. 8102 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(66,a,5424,a,b,8016,a)]. 8103 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(783(a,2),8016(a,1,2))]. 8104 L(x,y,(y * x) / y) * K(T(y * x,y),x) = (y * x) / y. [para(8016(a,1),5226(a,1,2))]. 8105 (K(x,y) / x) * T(x * K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6516,a,b,8027,a)]. 8106 T(x * K(y,x),z) * (x \ K(x,y)) = K(x,T(z,y)). [hyper(66,a,5606,a,b,8027,a)]. 8107 T(K(x * K(y,x),z \ 1),u) = K(x,T(T(z,u) \ 1,y)). [hyper(66,a,6007,a(flip),b,8027,a)]. 8108 K(x * K(y,x),T(z,u)) = T(z * K(x,T(z,y)),u) / T(z,u). [para(8027(a,1),5721(a,1,1,1,2)),flip(a)]. 8109 K(T(x,y),T(z,y * L(x,u,w))) = K(R(x,y,L(x,u,w)),z). [para(6829(a,1),8027(a,1,1)),flip(a)]. 8110 K(T(x,y),T(z,R(x,u,w) * y)) = K(R(x,y,R(T(x,y),u,w)),z). [para(7098(a,1),8027(a,1,1)),flip(a)]. 8111 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z))). [para(7761(a,1),8027(a,1,1,2))]. 8112 K(x,T(y,T(z,R(x,u,w)))) = K(x * K(z,x),y). [para(7773(a,1),8027(a,1,1,2)),flip(a)]. 8114 L(K(x \ 1,y * K(z,y)),u,w) = K(T(L(x,u,w) \ 1,z),y). [hyper(66,a,5977,a,b,8028,a)]. 8115 K(x,y * T(K(y \ z,y),z)) = K(T(x,y \ z),y). [para(5085(a,2),8028(a,1,2,2))]. 8116 K(x,y * K(z * y,y)) = K(T(x,y * z),y). [para(5785(a,2),8028(a,1,2,2))]. 8117 T(x,T(y,z * K(u,z))) = T(x,y * K(T(y,u),z)). [para(8028(a,1),5793(a,1,2,2)),flip(a)]. 8118 K(x,y * T(K(y \ z,y),z)) = K(T(x,(y / z) \ 1),y). [para(5838(a,2),8028(a,1,2,2))]. 8119 x / (K(T(y,z),x) * K(x * K(z,x),z)) = T(x * K(z,x),y). [para(8028(a,1),5746(a,1,2,1))]. 8120 K(K(x,y) * z,u) * z = z * K(z * K(x,y),u). [para(7797(a,1),8035(a,1,1))]. 8122 K(x / (x / y),T(z,u)) = K(y,T(T(z,x),u)). [para(28(a,1),8046(a,2,2))]. 8123 K((x * y) / ((x / z) * y),u) = R(K(z,T(u,x)),x,y). [para(8046(a,1),7031(a,1,1)),flip(a)]. 8124 K(T(x / (x / y),z),u) = K(T(y,z),T(u,x)). [para(7649(a,1),8046(a,1,1))]. 8125 K(x,y * K(x,z)) = K(x,y). [hyper(285,a,5125,a,b,8058,a),flip(a)]. 8126 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8058(a,2),5208(a,1))]. 8128 K(x,y * T(x,z)) = K(x,y * x). [para(6322(a,1),8125(a,1,2))]. 8130 K(x \ y,z * (y / x)) = K(x \ y,z * (x \ y)). [para(6585(a,1),8125(a,1,2)),flip(a)]. 8131 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6587(a,1),8125(a,1,2)),flip(a)]. 8133 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(8125(a,1),6328(a,1,1)),flip(a)]. 8134 K(x,y * K(z,x)) = K(x,y). [para(7392(a,1),8125(a,1,2)),flip(a)]. 8135 K(x,y / K(z,x)) = K(x,y). [para(7396(a,2),8125(a,1,2))]. 8136 K(x,y * T(z,x)) = K(x,y * z). [para(7402(a,1),8125(a,1,2)),flip(a)]. 8137 K(x,K(y,x) \ z) = K(x,z). [para(7680(a,1),8125(a,1,2))]. 8138 K(x,K(x,y) * z) = K(x,z). [para(7682(a,1),8125(a,1,2))]. 8139 K(x,T(y,x) \ z) = K(x,y \ z). [para(7736(a,1),8125(a,1,2))]. 8140 K(x * K(y,z),z) = 1 / K(z,x). [para(8134(a,1),5344(a,1,2)),flip(a)]. 8141 L((x * K(y,z)) * K(z,x),u,w) = (z * L(x * K(y,z),u,w)) / z. [para(8134(a,1),5387(a,1,1,2))]. 8142 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y * K(z,x),u,w)). [para(8134(a,1),6105(a,1,1))]. 8143 K(x,y \ T(z,x)) = K(x,y \ z). [para(5818(a,1),8134(a,1,2))]. 8146 K(x,K(x,y) \ z) = K(x,z). [para(7765(a,1),8134(a,1,2))]. 8147 K(x,y \ K(z,x)) = K(x,y \ 1). [hyper(66,a,5707,a(flip),b,8135,a),flip(a)]. 8148 K(x,y / L(K(z,x),u,w)) = K(x,y). [para(5981(a,1),8135(a,1,2,2))]. 8149 K(x,T(x,y) * z) = K(x,x * z). [para(5534(a,1),8137(a,1,2))]. 8150 K(x,T(x,y) \ z) = K(x,x \ z). [para(5585(a,1),8137(a,1,2)),flip(a)]. 8151 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(8137(a,1),7872(a,1,2,2)),flip(a)]. 8152 T(K(x,y) * z,K(x,z)) = K(x,y) * z. [para(8138(a,1),3185(a,1,2))]. 8153 K(x,((y * x) / y) \ z) = K(x,x \ z). [para(5517(a,2),8138(a,1,2))]. 8154 K(x,(y / x) \ z) = K(x,(x \ y) \ z). [para(5854(a,1),8138(a,1,2)),flip(a)]. 8155 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(6094(a,1),8138(a,1,2,1))]. 8156 K(x,K(K(x,y) * z,u)) = K(K(x,z),u). [para(8138(a,1),7860(a,1,1)),flip(a)]. 8157 K(x,K(x,y) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,8146,a),flip(a)]. 8159 T(x,y * T(x,z)) = T(x,x * y). [hyper(285,a,4182,a(flip),b,8061,a),flip(a)]. 8160 T(x * T(y,z),u * T(y,x * y)) = T(x * T(y,z),u * y). [para(8061(a,1),7639(a,1,2,2))]. 8161 K(x \ (y * T(z,u)),T(z,y * z)) = K((y * T(z,u)) / x,z). [para(8061(a,1),7994(a,1,2))]. 8162 K(x / y,z * (x / y)) = K(x / y,z * (y \ x)). [para(118(a,1),8128(a,1,2,2)),flip(a)]. 8163 T(x,K(y,z * T(x,u))) = K(y,K(x,z * x)) * x. [para(8128(a,1),7889(a,1,1,2)),flip(a)]. 8164 K(x,(x \ T(y * x,x \ 1)) \ z) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [para(2172(a,1),8139(a,1,2,1))]. 8165 K(x * K(y,z),z) = K(x,z). [hyper(285,a,5344,a(flip),b,8140,a),flip(a)]. 8167 K(x * T(y,z),z) = K(x * y,z). [para(1270(a,1),8165(a,1,1))]. 8170 K(x \ T(y,z),z) = K(x \ y,z). [para(5818(a,1),8165(a,1,1))]. 8172 K(x / (y / z),z) = K(x / (z \ y),z). [para(6533(a,1),8165(a,1,1))]. 8173 K(x * K(y,z),y) = K(x,y). [para(7392(a,1),8165(a,1,1)),flip(a)]. 8174 K(x * T(y,z),y) = K(x * y,y). [para(7402(a,1),8165(a,1,1)),flip(a)]. 8175 K(x * K(y,T(z,u)),z) = K(x,z). [para(7687(a,1),8165(a,1,1,2))]. 8176 K(K(x,y) * z,x) = K(z,x). [para(7723(a,1),8165(a,1,1)),flip(a)]. 8177 K(K(x,y) * z,y) = K(z,y). [para(7756(a,1),8165(a,1,1))]. 8178 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7764(a,1),8165(a,1,1,2))]. 8179 K(K(x,y) \ z,x) = K(z,x). [para(7765(a,1),8165(a,1,1))]. 8180 K(x * L(K(y,z),u,w),y) = K(x,y). [para(5949(a,1),8173(a,1,1,2))]. 8183 K((x / y) * z,y) = K((y \ x) * z,y). [para(6565(a,1),8173(a,1,1))]. 8185 K(T(x,y) * z,x) = K(x * z,x). [para(5219(a,1),8176(a,1,1))]. 8186 K(((x * y) / x) \ z,y) = K(y \ z,y). [para(5517(a,2),8176(a,1,1))]. 8187 K((x / y) \ z,y) = K((y \ x) \ z,y). [para(5854(a,1),8176(a,1,1)),flip(a)]. 8188 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6094(a,1),8176(a,1,1,1))]. 8189 K(x * (K(y,z) * u),z) = K(x * u,z). [para(6254(a,1),8176(a,1,1)),flip(a)]. 8190 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(8176(a,1),6374(a,1,1))]. 8192 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7776(a,1),8177(a,1,1,1))]. 8194 K(x,y / T(x,z)) = K(x,x \ y). [hyper(66,a,7717,a,b,8150,a)]. 8195 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(118(a,1),8150(a,1,2,1)),flip(a)]. 8196 K(x,K(y,T(y,z) \ u)) = K(x,K(y,u)). [para(8150(a,2),7936(a,1,2))]. 8198 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6764(a,1),8167(a,1,1)),flip(a)]. 8199 K(x \ (y \ (z * y)),y) = K(x \ z,y). [para(27(a,1),8170(a,1,1,2))]. 8200 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(118(a,1),8170(a,1,1,2)),flip(a)]. 8202 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(6320(a,1),8175(a,1,1))]. 8203 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [hyper(124,a,8185,a(flip),b,5125,a(flip))]. 8206 (x / T(y,x)) * ((y \ T(x,y)) \ z) = K(y,y \ x) * z. [para(8194(a,1),5550(a,2,1))]. 8209 K(x,T(y,K(x,z))) != u | K(x,y) = u. [para(7888(a,1),8126(a,1,2))]. 8210 K(x,y * (z * K(u,x))) = K(x,y * z). [para(178(a,1),8148(a,1,2)),flip(a)]. 8211 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(112(a,1),8155(a,1,2))]. 8212 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(7014(a,1),8155(a,1,2,1))]. 8215 K(x * (y * K(z,u)),u) = K(x * y,u). [para(7558(a,1),8180(a,1,1)),flip(a)]. 8216 K((K(x,y) * z) * u,x) = K(z * u,x). [para(112(a,1),8188(a,1,1))]. 8217 K(R(K(x,y),z,u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7990(a,1),8188(a,1,1,1,1))]. 8221 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(7681(a,1),8209(a,1))]. 8222 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(5146(a,1),8212(a,1,2))]. 8223 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(5516(a,1),8212(a,1,2)),flip(a)]. 8224 K(x,(y / R(x,z,u)) \ w) = K(x,(R(x,z,u) \ y) \ w). [para(5854(a,1),8212(a,1,2)),flip(a)]. 8225 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7940(a,1),8221(a,1))]. 8226 T(x,K(y,y \ z)) = T(x,K(y,z)). [hyper(285,a,5130,a,b,7956,a),flip(a)]. 8227 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(7956(a,2),5180(a,1))]. 8228 K(x \ y,x) * (z / (x \ y)) = T(z / (y / x),K(x,y)). [hyper(66,a,6590,a(flip),b,8226,a)]. 8229 T(x,K(y,y * z)) = T(x,K(y,z)). [para(14(a,1),8226(a,1,2,2)),flip(a)]. 8230 T(K(x * y,z),K(x,y)) = K(x * y,z). [hyper(8225,a,8229,a),flip(a)]. 8231 T(K(x,y),K(z,z * x)) = K(x,y). [hyper(285,a,2227,a(flip),b,8229,a),flip(a)]. 8232 T(K(x * y,x) * z,K(x,y)) = z * K(x * y,x). [hyper(66,a,7943,a(flip),b,8229,a),flip(a)]. 8233 T(K(x,x * y),K(y,z)) = K(x,x * y). [hyper(57,a,8231,a)]. 8234 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7968(a,1),46(a,1))]. 8235 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(285,a,7958,a(flip),b,7973,a),flip(a)]. 8236 K(T(x,y) \ 1,z) = K(x \ K(x,y),z). [hyper(66,a,6080,a,b,7984,a)]. 8237 K((x \ y) \ K(x \ y,z),u) = T(K(y \ x,u),z). [para(6468(a,1),7984(a,1,1)),flip(a)]. 8238 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7996(a,1),5392(a,1,1)),flip(a)]. 8239 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(7962(a,1),7996(a,1,2))]. 8240 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(285,a,5743,a,b,8002,a),flip(a)]. 8241 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8002(a,2),5744(a,1))]. 8243 K(x,T(y,z / x)) = K(x,T(y,z)). [hyper(66,a,8046,a(flip),b,8017,a),flip(a)]. 8244 K(x,T(y,z * x)) = K(x,T(y,z)). [para(16(a,1),8243(a,1,2,2)),flip(a)]. 8245 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(177(a,1),8243(a,1,2,2)),flip(a)]. 8246 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4301(a,1),8243(a,1,2))]. 8247 K(x * y,T(z,x \ 1)) = K(x * y,T(z,y)). [para(4303(a,1),8243(a,1,2))]. 8248 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(8243(a,1),7924(a,2,2))]. 8249 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(8244(a,1),7682(a,1,2))]. 8250 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [para(8244(a,1),7997(a,1,1))]. 8251 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(285,a,8076,a(flip),b,8024,a),flip(a)]. 8254 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(27(a,2),8067(a,1,1,1)),flip(a)]. 8256 (((x * y) / x) \ z) * K(y,y \ z) = (y * (((x * y) / x) \ z)) / y. [hyper(124,a,8153,a(flip),b,5167,a(flip))]. 8258 K(x,K(K(x,y) * z,u)) = K(x,K(z,u)). [hyper(285,a,7860,a(flip),b,8156,a),flip(a)]. 8259 K(x \ (y * L(x,z,u)),x) = K((x \ y) * L(x,z,u),x). [hyper(66,a,5330,a,b,8183,a)]. 8260 (((x * y) / x) \ z) \ K(y \ z,y) = ((y * (((x * y) / x) \ z)) / y) \ 1. [hyper(122,a,8186,a(flip),b,5412,a(flip))]. 8262 K(x * ((y * z) / y),z) = K(x * z,z). [para(5192(a,2),8189(a,1,1,2))]. 8263 K(x * (K(y,z) * u),y) = K(x * u,y). [para(5360(a,1),8189(a,1,1,2)),flip(a)]. 8264 K((x / (x / y)) * z,y) = K(y * z,y). [para(5098(a,2),8189(a,1,1))]. 8265 K(x * (y / (z * y)),z \ 1) = K(x * ((z * y) \ y),z \ 1). [para(5709(a,1),8189(a,1,1,2))]. 8266 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(5824(a,1),8189(a,1,1,2))]. 8267 K(T(x,y) \ K(z,x),T(x,y)) = K(T(x,y) \ 1,T(x,y)). [hyper(66,a,7218,a(flip),b,8192,a)]. 8268 (K(x,y) * z) * K(z,T(y,u)) = T(K(x,y) * z,T(y,u)). [hyper(124,a,8192,a(flip),b,5125,a(flip))]. 8269 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(5158(a,1),8192(a,1,1)),flip(a)]. 8270 K(T(x,y) \ z,T(y,u)) = K(x \ z,T(y,u)). [para(5516(a,1),8192(a,1,1)),flip(a)]. 8271 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K(y \ (z / x),L(x,u,w)). [para(8200(a,1),5803(a,1,1,1,2))]. 8272 T(x * K(y * R(x,z,u),x),T(y,T(x,w))) = R(x,T(y,T(x,w)),R(x,z,u)). [para(8202(a,1),5720(a,1,1,2))]. 8273 K(x,y * (T(z,x) / u)) = K(x,y * (z / u)). [para(1283(a,1),8210(a,1,2,2))]. 8274 K(x,y * (z * L(K(u,x),w,v5))) = K(x,y * z). [para(5981(a,1),8210(a,1,2,2,2))]. 8275 K(x,y * (z * K(x,u))) = K(x,y * z). [para(7392(a,1),8210(a,1,2,2)),flip(a)]. 8276 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7723(a,1),8210(a,1,2,2)),flip(a)]. 8277 K(x,(y * x) * z) = K(x,(x * y) * z). [para(5146(a,1),8211(a,1,2,1)),flip(a)]. 8279 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(6319(a,1),8215(a,1,1,2)),flip(a)]. 8280 T(K(x,y * x),K(y,z)) = K(x,x * y). [para(6626(a,2),8233(a,1,1))]. 8281 K(((x * y) / x) \ 1,z) = K(T(y,x) \ 1,z). [para(5413(a,2),8236(a,2,1)),flip(a)]. 8282 K(T(x,y) \ 1,z) * K(x \ K(x,y),K(x,y) \ x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8236(a,2),5541(a,1,1))]. 8283 T(x,T(T(y,z),z)) = T(x,y). [hyper(37,a,7825,a,b,8240,a(flip))]. 8284 x * (K(y,x) * T(y,z)) = T(y,T(z,x)) * x. [para(8240(a,1),221(a,1,2))]. 8285 (T(T(x,y),T(z,y)) * u) / (T(K(x,y),T(x,z)) * u) = R(T(x,z),T(K(x,y),T(x,z)),u). [para(8240(a,2),217(a,1,1,1))]. 8286 T(x,K(y,x) * T(y,z)) = T(x,T(y,T(z,x))). [para(8240(a,1),4122(a,1,2))]. 8287 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(8240(a,2),5744(a,1))]. 8288 T(x,(y * z) / y) = T(x,T(z,y)). [para(208(a,1),8283(a,1,2,1)),flip(a)]. 8289 T(x,y * K(z,y)) = T(x,T(y,z)). [para(5150(a,1),8283(a,1,2,1)),flip(a)]. 8290 T(x * L(L(y,x,y),z,u),T(y,x)) = T(x,y) * L(y,z,u). [hyper(66,a,7110,a(flip),b,8289,a),flip(a)]. 8292 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(66,a,7881,a,b,8258,a)]. 8293 K(x * ((y * z) / y),z) = K(z * x,z). [hyper(285,a,5785,a(flip),b,8262,a),flip(a)]. 8296 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(8263(a,1),5805(a,1,2,1,2)),flip(a)]. 8299 K(x,y * (z * L(K(x,u),w,v5))) = K(x,y * z). [para(5949(a,1),8275(a,1,2,2,2))]. 8300 K(x,y * (z * (K(u,x) * w))) = K(x,y * (z * w)). [para(6254(a,1),8276(a,1,2,2)),flip(a)]. 8301 K(x,x * y) * K(y,z) = K(y,z) * K(x,y * x). [para(8280(a,1),7945(a,1,1))]. 8302 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(285,a,7908,a,b,8292,a),flip(a)]. 8303 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(285,a,7881,a,b,8292,a),flip(a)]. 8304 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(5360(a,1),8302(a,1,1)),flip(a)]. 8305 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5360(a,1),8303(a,1,1)),flip(a)]. 8306 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8303(a,1),6353(a,1,3))]. 8307 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(7997(a,1),8303(a,1,1))]. 8308 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6900,a,8306,a)]. 8309 (x * (K(y,z) * u)) * K(u,K(y,z)) = x * (u * K(y,z)). [para(8306(a,1),478(a,1,1)),flip(a)]. 8310 K(x,K(y,K(z,x) * u)) = K(x,K(y,u)). [hyper(285,a,7884,a,b,8304,a),flip(a)]. 8311 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(7687(a,1),8304(a,1,2,2,1))]. 8312 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(285,a,8292,a(flip),b,8305,a),flip(a)]. 8313 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5737(a,1),8310(a,1,2,2))]. 8314 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(3477,a,7863,a),flip(a)]. 8315 T(x,K(y,z)) * u != x * w | K(y,K(x,z)) * u = w. [para(7892(a,1),46(a,1))]. 8316 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7396(a,2),7909(a,1,2))]. 8317 K(x,K(y,z)) * (T(z,y) * K(x \ y,x)) = K(x \ y,x) * T(z,y). [para(7961(a,1),7909(a,1,1))]. 8318 (K(x,y) * (x / z)) * K(x,K(y,z \ x)) = (x / z) * K(x,y). [para(6427(a,1),7916(a,1,2))]. 8319 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(5319(a,1),7919(a,1,1,2))]. 8322 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(7944(a,1),7761(a,1,1)),flip(a)]. 8324 K(x,K(y,T(y \ z,u))) = K(x,K(z,T(y,u))). [hyper(285,a,7973,a,b,7974,a),flip(a)]. 8325 L(K(T(x,y),T(z,y)),u,w) = K(L(x,u / T(x,y),w),z). [hyper(66,a,6651,a(flip),b,8009,a)]. 8326 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1521(a,1),8009(a,1,1))]. 8327 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6652,a,8010,a)]. 8328 K(T(x,y),L(y,z,u)) = K(x,L(y,z,u)). [para(115(a,1),8010(a,1,2,1))]. 8329 K(T(x,y),T(z,R(z,u,w) * y)) = K(x,L(z,y,R(z,u,w))). [para(1509(a,1),8010(a,1,2))]. 8330 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1521(a,1),8010(a,1,2))]. 8331 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(32(a,2),8328(a,1,1))]. 8332 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4200(a,1),8011(a,1,1,1)),flip(a)]. 8333 K(L(R(x,y,z),x \ u,x),T(w,u)) = K(R(u / (u / x),y,z),w). [para(4275(a,1),8011(a,1,1))]. 8334 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(5149(a,1),8023(a,1,2,2))]. 8335 K(T(x,T(y,z)),z) = K(T(x,y),z). [hyper(66,a,8016,a(flip),b,8025,a)]. 8336 K(R(T(x,T(y,z)),u,w),z) = K(T(R(x,u,w),y),z). [para(32(a,2),8335(a,1,1))]. 8337 K(T(x,y),T(z,y * z)) = K(x,L(z,y,z)). [para(5400(a,1),8030(a,1,2)),flip(a)]. 8338 K((x * y) \ z,L(y,x,y)) = K(T(z / (x * y),x),y). [hyper(66,a,8018,a(flip),b,8337,a),flip(a)]. 8339 T((x * (y * K(T(z,u),y))) / x,u) = (x * (K(z,y) * T(y,u))) / x. [para(8031(a,1),425(a,1,1,2)),flip(a)]. 8340 K(K(x,y) * T(y,z),T(u,z)) = K(y * K(T(x,z),y),u). [para(8031(a,1),7990(a,1,1))]. 8341 T((x * K(y,x)) * K(T(T(z,u),y),x),u) = K(z,x * K(y,x)) * T(x * K(y,x),u). [para(8028(a,1),8031(a,1,1,2))]. 8342 K(x,R(y * K(z,y),u,w)) = K(x,R(T(y,z),u,w)). [para(5150(a,1),8040(a,1,2,1,1)),flip(a)]. 8343 (K(x \ 1,y) \ z) * K(z / K(x \ 1,y),x) = T(K(x \ 1,y) \ z,x). [para(1407(a,1),8071(a,2,2))]. 8344 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(66,a,7770,a(flip),b,8084,a),flip(a)]. 8345 K(T(x * K(y \ x,x),x),z) = K(x,T(z,T(y,x) \ x)). [para(6912(a,1),8097(a,1,1))]. 8346 T(x * y,y) / (T(x * y,y) / x) = x * K(y,T(x,x * y)). [hyper(124,a,8099,a(flip),b,5072,a),flip(a)]. 8347 K(T(x,y * z),z) = K(T(x,z * y),z). [hyper(66,a,8028,a(flip),b,8116,a)]. 8348 K(R(T(x,y * z),u,w),z) = K(T(R(x,u,w),z * y),z). [para(32(a,2),8347(a,1,1))]. 8349 K(T(x / (x / y),z),u * K(R(u,w,v5) * x,u)) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [para(7099(a,1),8124(a,2,2))]. 8350 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1270(a,1),8178(a,1,1))]. 8351 K(x / (y \ z),z / y) = K((y \ z) \ x,z / y). [para(5082(a,1),8178(a,1,1)),flip(a)]. 8353 K((x \ 1) * y,T(z,y)) = K((x \ 1) * y,T(z,x)). [para(3029(a,1),8247(a,1,2)),flip(a)]. 8354 K(x,K(y,T(z,u / x))) = K(x,K(z,T(y,u))). [hyper(285,a,7881,a,b,8248,a),flip(a)]. 8355 ((x * y) * z) / (((x * y) * K(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(8249(a,2),6136(a,1,2,1))]. 8356 (x * y) * T(K(y,z),x) = K(y,z) * (x * y). [para(7681(a,1),8249(a,1,2))]. 8357 K(x,T(y,z)) * (z * x) = z * T(x,y). [hyper(285,a,6322,a(flip),b,8250,a),flip(a)]. 8358 T(x,T(y,z)) * T(z,x) = z * T(x,y). [hyper(5775,a,8357,a)]. 8359 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(123,a,8357,a(flip),b,5518,a(flip))]. 8360 T(K(x,y),z) * (z * x) = z * T(x,y). [para(7681(a,1),8357(a,1,1))]. 8361 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7696(a,1),8357(a,1,1))]. 8362 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [hyper(123,a,280,a(flip),b,8358,a)]. 8363 T(x,T(y,x \ y)) = T(x,y). [hyper(38,a,3997,a,b,8358,a),flip(a)]. 8364 (x * T(y,z)) / T(x,y) != u | T(y,T(z,x)) = u. [para(8358(a,1),294(a,1,1)),flip(b)]. 8366 T(x,T(x * y,y)) = T(x,x * y). [para(14(a,1),8363(a,1,2,2))]. 8367 T(x / y,T(x,y)) = T(x / y,x). [para(90(a,1),8363(a,1,2,2))]. 8368 T(x \ y,T(y,x)) = T(x \ y,y). [para(3976(a,1),8363(a,1,2))]. 8369 T(x * K(y,x),T(y * x,y)) = T((y * x) / y,y * x). [para(5149(a,1),8367(a,1,1))]. 8370 R(x \ y,z,u) \ R(T(x \ y,y),z,u) = K(R(x \ y,z,u),T(y,x)). [para(8368(a,1),5179(a,1,2,1))]. 8371 K(((x * y) \ (z * y)) \ 1,T(x,z)) = (x * y) \ ((z * T(z \ x,x)) * y). [para(8368(a,1),5816(a,1,2,1,2)),flip(a)]. 8372 ((x / y) * T(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(118(a,1),8359(a,1,2))]. 8373 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1705(a,1),8359(a,1,1,2))]. 8374 T(x,T(T(x,y) * z,u)) = (u * T(x,x * z)) / T(u,x). [para(7630(a,1),8359(a,1,1,2)),flip(a)]. 8375 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(8056(a,1),8359(a,1,1,2)),flip(a)]. 8376 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(66,a,4512,a(flip),b,8360,a),flip(a)]. 8377 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(66,a,7596,a(flip),b,8254,a),flip(a)]. 8378 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(7279(a,1),8266(a,1,1,2))]. 8379 K(T(x,y) * z,T(T(x,u),w)) = T(T(x,u),w) \ T(T(x,u) * K(x * z,T(x,u)),w). [para(8269(a,1),5722(a,1,2,1,2)),flip(a)]. 8381 K(x \ y,z * (x / ((x \ y) * x))) = K(x \ y,z * (x / y)). [para(7290(a,1),8273(a,1,2,2))]. 8382 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4085(a,1),8279(a,1,1,2)),flip(a)]. 8383 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y \ 1) \ 1,z). [para(791(a,1),8281(a,1,1,1))]. 8384 x * T(T(y,z),T(x,z)) = T(y,T(z,x)) * x. [para(8002(a,2),8284(a,1,2))]. 8385 T(x,T(y,T(z,x))) = T(x,T(y,z)). [hyper(66,a,7628,a(flip),b,8286,a),flip(a)]. 8387 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(118(a,1),8385(a,1,2,2)),flip(a)]. 8388 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8308(a,2),5459(a,1,1))]. 8389 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(8311(a,1),7917(a,1,1))]. 8390 K(x,K(y,z)) * (K(u,T(y,w)) * x) != v5 | T(K(u,T(y,w)) * x,K(y,z)) = v5. [para(8311(a,1),7918(a,1,1))]. 8391 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(285,a,8013,a(flip),b,8344,a),flip(a)]. 8392 T(K(x,y),z * x) = T(K(x,y),z). [hyper(225,a,8356,a)]. 8393 T(K(x,y),T(y,z) * x) = K(x,y). [hyper(285,a,3213,a(flip),b,8392,a),flip(a)]. 8394 T(T(x,K(y,z)),T(y,z)) = T(x,y). [hyper(224,a,8376,a,b,5518,a(flip))]. 8396 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(8230(a,1),8376(a,1,1)),flip(a)]. 8397 T(K(x,y),T(z,x)) = T(K(x,y),z). [para(2227(a,1),8394(a,1,1))]. 8398 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7342(a,1),8394(a,1,1)),flip(a)]. 8399 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(7344(a,1),8394(a,1,1))]. 8400 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(5726,a,8398,a)]. 8404 T(T(x,K(y,z)),y) = T(x,T(y,z)). [para(7940(a,1),8398(a,1,1))]. 8405 T(K(x,y),z / y) = T(K(x,y),y \ z). [para(118(a,1),8399(a,1,2)),flip(a)]. 8406 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(7953,a,8400,a)]. 8407 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(8400(a,1),7693(a,1,2))]. 8409 T(x * K(y,x),T(y,z)) = T(x,K(y,z)). [hyper(66,a,5240,a(flip),b,8404,a),flip(a)]. 8410 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [hyper(66,a,231,a(flip),b,8404,a),flip(a)]. 8411 x \ T(T(x,y),K(y,z)) = T(K(x,y),z). [hyper(122,a,8406,a,b,7704,a)]. 8412 K(x,T(T(y,z) \ 1,K(z,u))) = K(x,T(y,T(z,u)) \ 1). [para(8406(a,1),7692(a,2,2,1))]. 8413 K(x,T(y,z / x)) = K(x,T(y,x \ z)). [para(118(a,1),8407(a,1,2,2)),flip(a)]. 8414 K(x,T(y,R(x \ z,x,x \ u))) = K(x,T(y,(z * (x \ u)) / u)). [para(714(a,1),8407(a,1,2,2))]. 8415 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5391(a,1),8407(a,1,2,2))]. 8416 T(K(x,y),y \ z) * (z / y) = (z / y) * K(x,y). [para(8405(a,1),7979(a,1,1))]. 8418 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(1 / x,y),z)) * x. [para(8411(a,1),919(a,1,1,2)),flip(a)]. 8419 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(66,a,8243,a(flip),b,8413,a),flip(a)]. 8420 K(x,T(y,(x \ z) * x)) = K(x,T(y,z)). [hyper(66,a,8244,a,b,8419,a)]. 8421 K(x,T(y,x * z)) = K(x,T(y,z)). [para(14(a,1),8419(a,1,2,2)),flip(a)]. 8422 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(8419(a,1),7864(a,1,1,2))]. 8423 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(118(a,1),8421(a,1,2)),flip(a)]. 8424 K(x,T(y,T(z * x,u))) = K(x,T(y,T(x * z,u))). [para(4922(a,1),8420(a,1,2,2))]. 8425 T(x * K(y,x),T(y,z)) * z = z * T(x,T(z,y)). [para(5150(a,1),8384(a,1,2,1)),flip(a)]. 8426 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(5346(a,1),7783(a,1))]. 8428 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(7760(a,1),8426(a,1))]. 8429 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(7762(a,2),8426(a,1))]. 8430 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8016(a,2),8426(a,1))]. 8434 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(6439(a,2),8428(a,1))]. 8435 K(x \ y,z) != u | K(y / x,T(z,y)) = u. [para(6460(a,1),8428(a,1))]. 8438 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7924(a,2),7873(a,1,2))]. 8446 K(x,K(y,z)) * (L(K(x,u),w,v5) \ K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [hyper(7927,a,6153,a)]. 8448 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,8112,a),flip(a)]. 8449 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(118(a,1),8448(a,1,2,2)),flip(a)]. 8450 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(66,a,6653,a(flip),b,8190,a)]. 8451 K(K(x,y) * z,x) != u | K(z,x) = u. [para(8190(a,1),3653(a,1)),flip(b)]. 8452 K(x * y,x) != z | K(y * x,x) = z. [para(5146(a,1),8451(a,1,1))]. 8455 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(6572(a,2),8452(a,1))]. 8456 K(L(x,K(y,z),u),y) = K(x,y). [hyper(285,a,8176,a(flip),b,8450,a),flip(a)]. 8458 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(268(a,1),8456(a,1,1))]. 8459 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(7014(a,1),8217(a,1,1,1))]. 8460 K(x,y * (z * (u * K(w,x)))) = K(x,y * (z * u)). [para(103(a,1),8274(a,1,2,2))]. 8461 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(32(a,2),7690(a,2,2))]. 8462 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2963(a,1),7725(a,1,2,2))]. 8463 (x * (y / x)) / T(y,z) = K(z,y) * K(x,x \ y). [hyper(66,a,7459,a,b,7728,a)]. 8464 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(6760,a,7734,a),flip(a)]. 8465 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(445,a,7734,a)]. 8466 K((x * y) \ (x * z),T(z,u)) = K(y \ z,T(z,u)). [hyper(66,a,6661,a(flip),b,8465,a)]. 8467 K(x,y / (z * (x / ((z \ 1) \ 1)))) = K(x,(z * (x / z)) \ y). [hyper(66,a,7186,a,b,7755,a)]. 8468 K(T(x,y) \ z,T(T(T(x,z),y) * (T(x,y) \ z),u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [para(7821(a,1),6628(a,2,2,1))]. 8469 T(1 / x,T(y,K(x,z))) = T(1 / x,y). [hyper(285,a,5177,a(flip),b,7824,a),flip(a)]. 8470 L(T(1 / x,y),T(y,K(x,z)),K(x,z)) = T(1 / x,y * K(x,z)). [para(8469(a,1),6808(a,1,1))]. 8471 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4833(a,1),7837(a,1,1))]. 8472 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5304,a,7839,a),flip(a)]. 8473 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(66,a,6597,a,b,8472,a)]. 8474 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(66,a,7758,a,b,8473,a)]. 8476 K(x,K(y,z)) * (K(x,x \ y) * u) = T(K(x,x \ y),z) * u. [para(7958(a,1),7869(a,1,1))]. 8477 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7392(a,1),7871(a,1,1)),flip(a)]. 8478 R((K(x,K(y,(y * x) * z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(7875(a,2),5296(a,1,1))]. 8479 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(6032(a,1),7876(a,1,1)),flip(a)]. 8481 K(x,K(y,T(z,u))) * K(x * T(y,u),x) = K(x * T(y,u),T(x,z)). [para(7924(a,2),7937(a,1,1))]. 8482 T(x * y,K(z,(1 / y) \ x)) = x * y. [hyper(194,a,7939,a(flip)),flip(a)]. 8483 T(x * y,K(z,(y \ 1) \ x)) = x * y. [para(7154(a,1),8482(a,1,2))]. 8484 K((x \ 1) \ y,z) * (y * x) = (y * x) * K((x \ 1) \ y,z). [para(8483(a,1),7343(a,1,1)),flip(a)]. 8485 R(x,T(K(y,z),u),u) = R(x,K(y,z),u). [hyper(285,a,8308,a(flip),b,7947,a),flip(a)]. 8487 K(x,y) * (y * x) = (x * y) * K(K(z,u),u * z). [para(7860(a,2),7964(a,2,2))]. 8488 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(285,a,7868,a(flip),b,7967,a),flip(a)]. 8489 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(7341(a,1),8488(a,1,2))]. 8491 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4182(a,1),7971(a,1,2,2,2))]. 8493 K(x,K(y,T(z,u))) * K(x,z) = K(x,T(z,T(y,u))). [hyper(285,a,7681,a,b,7975,a),flip(a)]. 8494 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,x \ y)). [para(5073(a,2),7976(a,1,2,2))]. 8495 L(T(K(x,y),z * (u * K(y,x))),u,z) = (z * u) / (z * (u * K(y,x))). [hyper(123,a,7558,a(flip),b,7981,a),flip(a)]. 8496 ((1 / x) * (K(y,z) * x)) * x = x * L(K(y,z),x,x \ 1). [para(2963(a,1),7981(a,1,1))]. 8497 T(R(K(x,y),z,u),w) * w = w * R(K(x,y),z,u). [para(32(a,1),7982(a,1,1))]. 8498 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(5727,a,7988,a)]. 8499 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(66,a,5240,a(flip),b,8498,a),flip(a)]. 8500 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [hyper(262,a,8000,a)]. 8501 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(8056(a,1),8000(a,1,1,1,2))]. 8502 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [hyper(66,a,8098,a(flip),b,8022,a),flip(a)]. 8503 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8502(a,1),7682(a,1,2))]. 8504 K(T(x,y),T(z,x \ u)) = K(T(x,y),T(z,u)). [hyper(66,a,8124,a(flip),b,8026,a),flip(a)]. 8505 K(T(x,y),T(z,x * u)) = K(T(x,y),T(z,u)). [para(14(a,1),8504(a,1,2,2)),flip(a)]. 8506 (x * K(y,z)) * u != x * (K(y,w) * T(y,z)) | T(y,w) = u. [para(8037(a,1),46(a,1)),flip(a)]. 8507 T((x \ y) * x,z * K(u,y)) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,8063,a),flip(a)]. 8508 K(x,y) * T(y,T(z,x)) = T((x * y) / x,z). [hyper(6546,a,8078,a)]. 8509 K(x,y) * T((y * x) / y,z) = T(x,T(z,y)). [hyper(5452,a,8508,a)]. 8510 K(x,y) * T((y * x) / y,z) != u | T(x,T(z,y)) = u. [para(8508(a,1),5453(a,1,2)),flip(b)]. 8511 K(x \ y,x) * T(y / x,z) = T(x \ y,T(z,x)). [para(15(a,1),8509(a,1,2,1,1))]. 8512 K(x / y,z) * ((z * (y \ x)) / z) = T(x / y,T(y,z)). [para(638(a,1),8509(a,1,2))]. 8513 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [para(5149(a,1),8509(a,1,2,1))]. 8514 T(x,T((y * z) \ y,u)) = K(x,u) * T(x * K(u,x),z \ 1). [para(6594(a,1),8513(a,1,2)),flip(a)]. 8515 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(66,a,4981,a,b,8079,a)]. 8516 K((x / y) \ 1,x * K(z,u)) = K(x \ y,K(z,u) * x). [hyper(66,a,5830,a,b,8082,a)]. 8517 K(x / ((y \ 1) * z),L(z,y \ 1,y) / (L(z,y \ 1,y) / y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(404(a,1),8085(a,1,1,2))]. 8518 K(L(x,y,z),u / x) = K(L(x,y,z),x \ u). [para(115(a,1),8089(a,1,1,1)),flip(a)]. 8519 K(R(x,y,z),T(u * w,w) / T(u,w)) = K(R(T(x,T(u,w)),y,z),R(w,u,w)). [para(4553(a,1),8090(a,1,2)),flip(a)]. 8520 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [hyper(124,a,8103,a(flip),b,5125,a(flip)),flip(a)]. 8522 (K(x,y) / x) * T((y * x) / y,z) = K(x,T(z,y)). [para(5149(a,2),8105(a,1,2,1))]. 8523 (x \ K(x,y)) * T((x \ 1) \ K(y,x),z) = K(x,T(z,y)). [hyper(66,a,6774,a,b,8106,a)]. 8524 K(T(x,y * K(z,y)),u) = u / T(u,x * K(T(x,z),y)). [para(8117(a,1),5123(a,2,2))]. 8525 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(285,a,7872,a(flip),b,8151,a),flip(a)]. 8526 T(x,K(y,z * T(x,u))) = K(y,K(z,x)) * x. [para(7929(a,1),8163(a,2,1))]. 8527 T(x,K(y,z * T(x,u))) = T(x,K(y,z)). [hyper(285,a,7917,a(flip),b,8526,a),flip(a)]. 8528 T(x,K(y,z * x)) = T(x,K(y,z)). [para(115(a,1),8527(a,1,2,2,2))]. 8529 T(x,K(y,x * z)) = T(x,K(y,z)). [para(116(a,1),8527(a,1,2,2))]. 8530 T(x,K(y,x \ z)) = T(x,K(y,z)). [para(207(a,1),8527(a,1,2,2)),flip(a)]. 8531 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8528,a),flip(a)]. 8532 T(x,K(y,z / x)) = T(x,K(y,z)). [para(17(a,1),8528(a,1,2,2)),flip(a)]. 8533 T(x,K(y,z)) * K(y,z * x) = K(y,z * x) * x. [para(8528(a,1),7945(a,1,1))]. 8534 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8529,a),flip(a)]. 8536 T(x,K(y,x \ z)) = T(x,K(z,y)). [hyper(285,a,7940,a,b,8530,a),flip(a)]. 8537 T(x,K(y,x \ z)) != u | T(x,K(z,y)) = u. [para(8530(a,2),7953(a,1))]. 8538 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(7953,a,8531,a)]. 8539 K(x * y,T(y,K(x,z))) = K(x * y,y). [para(8531(a,1),7701(a,1,2))]. 8540 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(8534(a,1),28(a,1,1)),flip(a)]. 8541 T(x,K(y,x \ z)) != u | T(x,K(y,z)) = u. [para(8536(a,2),7953(a,1))]. 8542 K(x * R(y,z,u),R(T(y,K(x,w)),z,u)) = K(x * R(y,z,u),R(y,z,u)). [para(32(a,2),8539(a,1,2))]. 8543 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [hyper(124,a,8195,a(flip),b,5434,a)]. 8544 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(32(a,2),8223(a,1,2,1))]. 8545 K(x,R(x,y,z) \ (R(x,y,z) * (T(R(x,y,z),u) * w))) = K(x,R(x,y,z) * w). [para(998(a,1),8223(a,1,2)),flip(a)]. 8546 K((x \ y) \ K(x \ y,z),u) = K(y \ x,T(u,z)). [hyper(285,a,7681,a,b,8237,a),flip(a)]. 8547 K((x \ y) \ K(x \ y,z),u) != w | K(y \ x,T(u,z)) = w. [para(8237(a,2),8428(a,1))]. 8549 K(x,y) * K(y,x * y) = y \ L(y,x,y). [hyper(66,a,5676,a(flip),b,8301,a),flip(a)]. 8550 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y),u,w),z). [para(32(a,2),8336(a,2,1))]. 8551 ((x * y) * z) / ((x * T(y,u)) * z) = K(u,R(T(y,x),x,z)). [hyper(66,a,7112,a,b,8342,a)]. 8552 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6593(a,1),8350(a,1,1)),flip(a)]. 8554 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * R(K(x * y,z),y,T(x,y)). [hyper(285,a,3492,a,b,8361,a),flip(a)]. 8555 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(8362(a,1),6359(a,1,1,1))]. 8556 (x * K(y,z)) / (y \ x) = T(y,T(z,x / y)). [para(6321(a,1),8372(a,1,1))]. 8557 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(8054,a,8556,a),flip(a)]. 8558 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(66,a,8387,a(flip),b,8557,a)]. 8559 T(x,T(y,z * x)) = T(x,T(y,z)). [para(16(a,1),8557(a,1,2,2)),flip(a)]. 8560 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(87(a,1),8557(a,1,2,2)),flip(a)]. 8561 T(x,T(y / (x \ z),z)) = T(x,(x \ z) \ y). [para(118(a,1),8558(a,1,2)),flip(a)]. 8562 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6594(a,1),8558(a,1,2))]. 8563 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(8558(a,1),8407(a,1,2))]. 8564 T(x,T(y / (z * x),z)) = T(x,(z * x) \ y). [para(118(a,1),8559(a,1,2)),flip(a)]. 8565 T((x \ y) \ 1,T(x,y)) = T((x \ y) \ 1,x). [para(801(a,1),8559(a,1,2)),flip(a)]. 8566 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(8560(a,1),8407(a,1,2))]. 8567 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(5150(a,1),8563(a,1,2,2)),flip(a)]. 8568 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(118(a,1),8566(a,1,2,2)),flip(a)]. 8569 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(285,a,8359,a(flip),b,8375,a),flip(a)]. 8570 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(6587(a,1),8569(a,1,2,1)),flip(a)]. 8571 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(7703(a,1),8416(a,1,1))]. 8572 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(285,a,7403,a(flip),b,8571,a),flip(a)]. 8573 K(x,T(y,z)) * (z / y) = z / T(y,x). [para(7681(a,2),8572(a,1,1))]. 8574 T(x * K(y,x),T(y,z)) = T(x * K(z,x),T(z,y)). [hyper(38,a,5242,a,b,8425,a)]. 8575 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(285,a,8179,a(flip),b,8458,a),flip(a)]. 8577 K((x * K(y,z)) \ u,z) = K(x \ u,z). [para(7392(a,1),8575(a,1,1,1)),flip(a)]. 8578 K((K(x,y) * z) \ u,y) = K(z \ u,y). [para(7702(a,1),8575(a,1,1,1)),flip(a)]. 8579 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),8575(a,1,1,1,2))]. 8580 K((x * T(K(y,z),u)) \ w,z) = K(x \ w,z). [para(1403(a,1),8577(a,1,1,1,2))]. 8581 K((x * L(K(y,z),u,w)) \ v5,z) = K(x \ v5,z). [para(5981(a,1),8577(a,1,1,1,2))]. 8582 K(x,(y * K(z,x)) \ u) = (w * K(y \ u,x)) \ w. [para(8577(a,1),7399(a,1,1,2)),flip(a)]. 8583 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(66,a,6490,a(flip),b,8578,a)]. 8584 K(L(x \ y,x,K(z,u)),u) = K(x \ (K(z,u) * y),u). [para(105(a,2),8578(a,1,1))]. 8585 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5949(a,1),8583(a,1,1,2))]. 8586 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). [para(8585(a,1),5804(a,1,1,1,2)),flip(a)]. 8587 K(x \ K(L(y,z,u),w),y) = K(x \ 1,y). [para(6653(a,1),8585(a,1,1,2))]. 8588 K(x \ K(L(y,z,u),w),T(y,v5)) = K(x \ 1,T(y,v5)). [para(8009(a,1),8587(a,1,1,2))]. 8589 K(T(x,T(y,z)) \ u,y) = K(x \ u,y). [para(7704(a,1),8580(a,1,1,1))]. 8590 K((x * (y * K(z,u))) \ w,z) = K((x * y) \ w,z). [para(7558(a,1),8581(a,1,1,1)),flip(a)]. 8591 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7681(a,2),8461(a,1,1))]. 8592 K(x,y) * (y * x) = (x * y) * K((z * u) \ (u * z),z * u). [para(21(a,1),8487(a,2,2,1))]. 8593 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(285,a,8525,a(flip),b,8489,a),flip(a)]. 8595 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7396(a,1),8593(a,1,2))]. 8596 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8595(a,1),8485(a,1,2))]. 8597 K(x,K(y,T(z / y,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(8410(a,1),8493(a,2,2))]. 8598 T(R(K(x,y),z,u) \ w,R(K(x,y),z,u)) = w / R(K(x,y),z,u). [hyper(224,a,8497,a(flip),b,3968,a(flip))]. 8600 T((x \ y) * x,z \ T(u,y)) = T((x \ y) * x,z \ u). [para(5818(a,1),8507(a,1,2))]. 8601 K(x \ y,T(x \ y,T(z,x)) * u) = K(x \ y,T(y / x,z) * u). [para(8511(a,1),8211(a,1,2,1))]. 8602 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(5207,a,8515,a)]. 8603 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(5839(a,1),8602(a,1,2,1)),flip(a)]. 8604 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [hyper(285,a,7399,a(flip),b,8582,a),flip(a)]. 8605 K(x,(y * K(z,x)) \ u) != w | K(x,y \ u) = w. [para(8582(a,2),7411(a,1))]. 8607 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7723(a,1),8604(a,1,2,1)),flip(a)]. 8608 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7756(a,1),8604(a,1,2,1))]. 8609 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7776(a,1),8604(a,1,2,1,2))]. 8610 T(x,(K(x,y) * z) \ u) = x * K(x,z \ u). [hyper(124,a,8607,a(flip),b,5125,a(flip)),flip(a)]. 8611 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(19(a,2),8607(a,1,2)),flip(a)]. 8612 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(6254(a,1),8607(a,1,2,1)),flip(a)]. 8613 T(x,(K(x,y) * z) \ u) = T(x,z \ u). [hyper(285,a,5130,a,b,8610,a),flip(a)]. 8615 T(x,y \ K(x,z)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,8613,a),flip(a)]. 8616 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(5360(a,1),8613(a,1,2,1)),flip(a)]. 8617 K(x \ 1,T(y,z \ K(x,u))) = K(T(x,z \ 1) \ 1,y). [para(8615(a,1),7691(a,1,1,1)),flip(a)]. 8619 K(x,(y * (x \ z)) \ u) != w | K(x,(y * (z / x)) \ u) = w. [para(6585(a,1),8605(a,1,2,1))]. 8620 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(96(a,1),8590(a,1,1,1,2)),flip(a)]. 8621 T(x,(y * (z * K(x,u))) \ w) = 1 / (x \ K((y * z) \ w,x)). [para(8590(a,1),5302(a,2,2,2))]. 8622 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(15(a,1),8591(a,1,2)),flip(a)]. 8623 R(K(x,T(y / (z / u),w)),(y / (z / u)) * (z / u),u) = K(x,T((y * u) / z,w)). [para(702(a,1),8591(a,2,2))]. 8624 R(K(x,y),(y * K(z,y)) * u,w) = K(x,R(T(y * K(z,y),z),u,w)). [para(5150(a,1),8591(a,1,1,2))]. 8626 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(285,a,6735,a(flip),b,8620,a),flip(a)]. 8627 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(285,a,352,a(flip),b,8622,a),flip(a)]. 8628 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(285,a,7681,a(flip),b,8627,a),flip(a)]. 8630 K(L(x,y,y \ 1) \ z,x) = K(x \ z,x). [hyper(285,a,5448,a(flip),b,7846,a),flip(a)]. 8631 K(x / L(y,z,z \ 1),y) = K(y \ x,y). [hyper(66,a,7804,a,b,8630,a)]. 8632 K(x \ (y * L(x,z,z \ 1)),x) = K(y,x). [para(16(a,1),8631(a,1,1)),flip(a)]. 8633 (x / T(y * K(x,y),y * x)) * y = T(y * x,y) / y. [para(7856(a,1),7053(a,1,1,2))]. 8635 K(L(x,y,z),K(u,x \ u)) = 1. [hyper(285,a,79,a(flip),b,7903,a),flip(a)]. 8637 K(x,K(L(y,z,u),y \ x)) = 1. [hyper(66,a,7881,a,b,8635,a)]. 8638 R(K(x,y \ R(x,z,u)),R(x,z,u),y \ 1) = K(x,R(x,z,u) * (y \ 1)). [para(3371(a,1),8044(a,1,1))]. 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(5149(a,1),8510(a,1,2,1))]. 8642 T(x,y) * z != K(u,x * y) * T(x,y) | K(u,T(x * y,x)) = z. [para(7727(a,1),46(a,1)),flip(a)]. 8643 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(285,a,8544,a(flip),b,7812,a),flip(a)]. 8645 x * T(y * K(z,y),T(z,x)) = T(x,y) * T(y,T(x,z)). [para(8574(a,1),7835(a,1,2))]. 8646 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(118(a,1),7854(a,1,1,1))]. 8647 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(8646(a,1),6855(a,1,1))]. 8648 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4664(a,2),8647(a,1,1,2))]. 8649 T(T(T(x,y) / (T(x,y) / y),x),z) = L(T(y,z),y \ T(x,y),y). [hyper(66,a,4298,a(flip),b,7855,a),flip(a)]. 8650 (x * K(y,x)) * T(z,x) = z * (x * K(y,T(x,z))). [hyper(66,a,5868,a(flip),b,7857,a),flip(a)]. 8651 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5973(a,1),7870(a,1,1)),flip(a)]. 8652 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5973(a,1),7910(a,1,2)),flip(a)]. 8653 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(66,a,8651,a,b,8652,a)]. 8654 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7881(a,1),8653(a,1,1))]. 8655 R(K(x,K(y,z)),y,u) = K(x,K(y,z)). [para(4066(a,1),8654(a,2,2))]. 8656 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6090(a,1),8654(a,2,2))]. 8657 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(5981(a,1),7911(a,1,2)),flip(a)]. 8658 T(x,K(y,(z \ 1) \ x)) = z \ T(z * x,K(x,y)). [hyper(285,a,5130,a,b,7913,a)]. 8659 K(x,L(K(y,z),u,w) \ 1) = K(x,L(K(y,z),u,w)). [para(5986(a,1),7931(a,1,2))]. 8660 K(T((x \ 1) \ 1,T(y,x)),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(6327(a,2),8074(a,1,2,2))]. 8661 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(66,a,8579,a(flip),b,8087,a)]. 8663 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(66,a,8013,a(flip),b,8661,a),flip(a)]. 8664 K(x / (y * z),z) = K(x / (z * y),z). [para(96(a,1),8663(a,1,1,2)),flip(a)]. 8665 K(x / (K(y,z) * u),y) = K(x / u,y). [para(7682(a,1),8663(a,1,1,2))]. 8666 K(x / (K(y,z) * u),z) = K(x / u,z). [para(7702(a,1),8663(a,1,1,2)),flip(a)]. 8668 K(x / (y * (K(z,u) * w)),u) = K(x / (y * w),u). [para(6254(a,1),8665(a,1,1,2)),flip(a)]. 8669 R(K((x / y) / z,u),x / y,y) = K(x / ((K(u,w) * z) * y),u). [para(8665(a,1),7032(a,1,1))]. 8670 T(x,y / (K(z,x) * u)) = 1 / (x \ K(y / u,x)). [para(8666(a,1),5302(a,2,2,2))]. 8671 K(x / (y * (K(z,u) * w)),z) = K(x / (y * w),z). [para(5360(a,1),8668(a,1,1,2,2)),flip(a)]. 8672 T(x,y / (K(z,x) * u)) = T(x,y / u). [hyper(285,a,5302,a,b,8670,a),flip(a)]. 8673 T(x,((y * K(z,x)) * u) / u) = T(x,R(y,K(z,x),u)). [para(25(a,2),8672(a,1,2)),flip(a)]. 8674 T(x,y / ((x \ z) * x)) = T(x,y / z). [para(5101(a,1),8672(a,1,2,2))]. 8675 T(x,y / (z * x)) = T(x,y / (x * z)). [para(5146(a,1),8672(a,1,2,2))]. 8676 T(x,y / ((x \ z) * x)) = x * K(x,y / z). [hyper(285,a,5130,a(flip),b,8674,a),flip(a)]. 8677 K(x,y / ((x \ z) * x)) = K(x,y / z). [hyper(5207,a,8676,a)]. 8679 K(x,y / (z * x)) = K(x,y / (x * z)). [para(14(a,1),8677(a,1,2,2,1))]. 8680 K(x,y / (((x \ 1) * z) * x)) = K(x,y / L(z,x \ 1,x)). [para(404(a,1),8677(a,1,2,2,1))]. 8681 K(x,y / ((z * y) * x)) = K(x,z \ (x \ 1)). [hyper(285,a,6932,a(flip),b,8679,a),flip(a)]. 8682 K(x,R(y / x,x,z)) = K(x,(y * z) / (z * x)). [para(113(a,2),8679(a,2,2)),flip(a)]. 8683 K(x,(y / z) \ (x \ 1)) = K(x,z / (y * x)). [para(17(a,1),8681(a,1,2,2,1)),flip(a)]. 8684 K(x,R(1 / y,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [para(7284(a,2),8681(a,1,2,2,1)),flip(a)]. 8685 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,((y \ z) / z) \ (x \ 1)). [para(7299(a,1),8681(a,1,2,2,1))]. 8686 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(z / y) \ x). [hyper(66,a,7157,a(flip),b,8683,a),flip(a)]. 8687 K(x,R(x \ y,x,z)) = K(x,(y * z) / (z * x)). [hyper(66,a,5341,a(flip),b,8682,a)]. 8688 K(x,R(x \ y,x,T(z,y))) = K(x,(z * y) / (T(z,y) * x)). [para(116(a,1),8687(a,2,2,1))]. 8689 K((x * (K(y,z) * u)) / ((w \ x) * u),y) = R(K(w,y),x,K(y,z) * u). [hyper(66,a,7024,a(flip),b,8671,a),flip(a)]. 8690 T(x,R(y,K(z,x),u)) = T(x,y * K(z,x)). [para(16(a,1),8673(a,1,2)),flip(a)]. 8691 T(x,R(y,K(z,x),u)) = T(x,y). [hyper(285,a,8062,a(flip),b,8690,a),flip(a)]. 8694 K(x,R(y,K(z,x),u)) = x \ T(x,y). [hyper(122,a,8691,a(flip),b,5130,a(flip)),flip(a)]. 8695 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(285,a,5125,a,b,8694,a),flip(a)]. 8696 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8695(a,1,2))]. 8697 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(R(y,K(z,x),u),K(z,x) * u,w)). [para(8695(a,1),6106(a,1,1))]. 8698 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(66,a,8609,a(flip),b,8093,a)]. 8700 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(66,a,8014,a(flip),b,8698,a),flip(a)]. 8701 K(x,y / (z * T(u,x))) = K(x,y / (z * u)). [para(1270(a,1),8700(a,1,2,2))]. 8702 K(x,y / K(z,z \ K(u,x))) = K(x,y / (z * (K(u,x) / z))). [para(5197(a,1),8700(a,1,2,2)),flip(a)]. 8703 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(7723(a,1),8700(a,1,2,2)),flip(a)]. 8704 K(x,((y * K(x,z)) * u) / u) = K(x,R(y,K(x,z),u)). [para(25(a,2),8703(a,1,2)),flip(a)]. 8705 K(x \ y,z / ((y / x) * u)) = K(x \ y,z / ((x \ y) * u)). [para(5749(a,1),8703(a,1,2,2)),flip(a)]. 8706 K(x,R(y,K(x,z),u)) = K(x,y * K(x,z)). [para(16(a,1),8704(a,1,2)),flip(a)]. 8707 K(x,R(y,K(x,z),u)) = K(x,y). [hyper(285,a,8125,a(flip),b,8706,a),flip(a)]. 8710 K(x,R(R(y,K(x,z),u),w,v5)) = K(x,R(y,w,v5)). [para(36(a,1),8707(a,1,2))]. 8711 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(5149(a,1),8102(a,1,1,1,2))]. 8712 K(x,T(T(y,z) \ 1,u)) = T(K(x,T(y \ 1,u)),z). [para(8027(a,1),8107(a,1,1)),flip(a)]. 8713 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [hyper(66,a,8115,a(flip),b,8118,a),flip(a)]. 8715 K((x \ y) * L(x,z,z \ 1),x) = K(y,x). [hyper(66,a,8632,a(flip),b,8259,a),flip(a)]. 8716 K(T(x,y) \ K(z,x),T(x,y)) = K(x \ 1,x). [hyper(285,a,3462,a(flip),b,8267,a),flip(a)]. 8718 (T(x,y) \ K(z,x)) * T(x,y) = K(z,x) * K(x \ 1,x). [hyper(124,a,8716,a(flip),b,97,a),flip(a)]. 8719 T(K(x,y) * z,T(y,u)) = K(x,y) * T(z,T(y,u)). [hyper(6375,a,8268,a),flip(a)]. 8721 K(T(K(x,y) * z,T(y,u)) \ 1,w) = K(T(z,T(y,u)) \ K(y,x),w). [para(8719(a,2),6490(a,1,1,1))]. 8722 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(8400(a,1),8319(a,2,1))]. 8723 K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). [hyper(285,a,8459,a(flip),b,8322,a),flip(a)]. 8724 K(L(x,y / T(x,z),u),w) = L(K(x,w),y,u). [para(7990(a,1),8325(a,1,1)),flip(a)]. 8725 L(K(x,y),T(z,x),u) = L(K(x,y),z,u). [hyper(66,a,6655,a(flip),b,8724,a)]. 8726 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(179(a,1),8724(a,1,1,2)),flip(a)]. 8727 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(249(a,1),8724(a,1,1,2))]. 8730 K(L(x,y,z),x * y) = K(x,x * y). [hyper(6403,a,8726,a),flip(a)]. 8731 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(66,a,6648,a(flip),b,8726,a),flip(a)]. 8732 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(66,a,6636,a(flip),b,8726,a),flip(a)]. 8733 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(5124(a,2),8726(a,1,2)),flip(a)]. 8734 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(7990(a,1),8327(a,1,1)),flip(a)]. 8735 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(179(a,1),8734(a,1,2,2)),flip(a)]. 8736 L(K(x,y),z * K(y,u),w) = K(x,L(y,z / y,w)). [para(6331(a,1),8734(a,1,2,2)),flip(a)]. 8738 K(x * y,L(x,y,z)) = K(x * y,x). [hyper(6389,a,8735,a),flip(a)]. 8739 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(124,a,8735,a(flip),b,273,a)]. 8740 T(x,y * (z * x)) = T(x,y * (x * z)). [para(8739(a,1),8056(a,1,2)),flip(a)]. 8741 L(K(x,y),z * K(y,u),w) = L(K(x,y),z,w). [hyper(285,a,6646,a(flip),b,8736,a),flip(a)]. 8742 K(L(K(x,y),z * K(y,u),w),v5) = L(K(x,K(y,v5)),z,w). [para(8741(a,2),8479(a,2,1)),flip(a)]. 8743 K(R(x / (x / y),z,u),w) * K(T(w,y \ x),R(y,z,u)) = 1. [para(8332(a,2),5321(a,1,1))]. 8744 K(K(x,y) * T(y,z),T(u,z)) = K(y,T(u,T(x,z))). [hyper(285,a,8027,a(flip),b,8340,a),flip(a)]. 8745 K(T(x * K(y \ (z * x),x),x),u) = K(x,T(u,T(z \ y,x) \ x)). [para(6665(a,1),8345(a,1,1,1,2))]. 8746 K(R(T(x,y * z),u,w),z) = K(R(T(x,z * y),u,w),z). [para(32(a,2),8348(a,2,1))]. 8747 T(x * K(y,x),T(y * x,y)) = L(x,y,x). [hyper(285,a,4230,a(flip),b,8369,a),flip(a)]. 8748 T(x * K(y,x),T(x * y,y)) = L(x,y,x). [hyper(66,a,6778,a(flip),b,8747,a)]. 8749 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(8364,a,8373,a),flip(a)]. 8750 K(x,T(x * (y \ 1),z)) = x \ T(x,T(y \ x,z)). [hyper(122,a,8749,a(flip),b,5130,a(flip)),flip(a)]. 8751 K(x,T(x * (y \ 1),z)) = K(x,T(y \ x,z)). [hyper(285,a,5125,a,b,8750,a),flip(a)]. 8752 K(x,T((y \ 1) * x,z)) = K(x,T(y \ x,z)). [hyper(66,a,6628,a,b,8751,a)]. 8753 T(x,T(T(x,y) * z,u)) = T(x,T(x * z,u)). [hyper(285,a,8359,a(flip),b,8374,a),flip(a)]. 8755 T(x * K(y,x),T((x * K(y,x)) * z,u)) = T(x * K(y,x),T(x * z,u)). [para(5150(a,1),8753(a,1,2,1,1)),flip(a)]. 8757 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7865,a,8422,a),flip(a)]. 8758 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(14(a,1),8757(a,1,2,2)),flip(a)]. 8760 K(((x * (y * x)) / x) / y,z) * ((z * T(x,y * x)) / z) = T(((x * (y * x)) / x) / y,T(y,z)). [para(753(a,1),8512(a,1,2,1,2))]. 8761 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4197(a,1),8520(a,1,2,1))]. 8762 K(x,T(T(y,y \ 1) * z,u)) = (x \ K(x,u)) * T((x \ 1) \ K(u,x),y * z). [para(4811(a,1),8523(a,1,2)),flip(a)]. 8763 K(T(x,y * K(z,y)),u) = K(x * K(T(x,z),y),u). [hyper(285,a,5123,a,b,8524,a),flip(a)]. 8764 K(T(x * K(x * y,x),z * K(y * x,z)),u) = K((x * K(x * y,x)) * K(x,z),u). [para(5596(a,1),8763(a,2,1,2,1))]. 8765 K(T(x,y * K(z * x,y)),u) = K(x * K(T(x,z),y),u). [para(7794(a,1),8763(a,2,1,2))]. 8766 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(753(a,1),8543(a,1,2,2,1)),flip(a)]. 8767 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z \ 1)). [hyper(285,a,7691,a(flip),b,8617,a),flip(a)]. 8768 (x / L(y,x,y)) * y = T(y * x,y) / y. [para(5383(a,1),8633(a,1,1,2))]. 8769 (T(x * y,x) * K((T(x * y,x) \ x) \ 1,z)) / x = T((y / L(x,y,x)) * x,z). [para(8768(a,2),5821(a,2,1))]. 8770 K(x,y) * T(x * K(z,x),T(z,y)) = T(x,T(y,z)). [hyper(5590,a,8645,a(flip))]. 8771 x * (T(y,T(z,x)) * K(z,y)) = T(x,y) * T(y,T(x,z)). [para(7716(a,1),8645(a,1,2))]. 8772 K(x,y) * T(x * K(z \ y,x),T(z \ y,y)) = T(x,z * ((y * (z \ y)) / y)). [para(3978(a,2),8770(a,2,2))]. 8773 K(x,y) * T(x,K(z,y)) = T(x,T(y,z)). [para(8409(a,1),8770(a,1,2))]. 8774 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8656(a,2),7930(a,1,1))]. 8775 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(136,a,8711,a)]. 8776 K(T(x,y),z) * (z * K(y,z)) = (y * (z * K(x,z))) / y. [para(8711(a,1),5374(a,1,1))]. 8777 (T(x,y) \ K(z,x)) * T(x,y) = (T(x,z) \ 1) * x. [hyper(285,a,5307,a(flip),b,8718,a),flip(a)]. 8778 T((T(x,y) \ K(z,x)) * T(x,y),T(x,u)) = (T(x,z) \ 1) * x. [hyper(4959,a,8777,a)]. 8779 K(L(K(x,y),z * K(y,u),w),v5) = K(L(K(y,x),z,w) \ 1,v5). [hyper(285,a,7876,a,b,8742,a),flip(a)]. 8780 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(8775(a,1),5448(a,1,2))]. 8781 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(8775(a,1),5454(a,1,2))]. 8782 (x * K(y,x)) * K(T(z,y),x) = (y * (x * K(z,x))) / y. [hyper(66,a,6566,a(flip),b,8776,a)]. 8783 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5836(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8784 ((x * y) / x) / ((x * (y * K(z \ ((u \ 1) * w),y))) / x) = K(y,T(z \ ((1 / u) * w),x)). [para(6725(a,1),8780(a,1,2,1,2,2))]. 8785 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(8215(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8786 R(K(x,T(T(y,z),z * u)),z,u) = K(((z / x) * u) \ (z * u),y). [para(8122(a,1),7743(a,1,1))]. 8787 K(x,R(T(y,z * u),y \ z,u)) = K(x,((y \ z) * u) \ (z * u)). [para(87(a,1),7754(a,1,2,1,1))]. 8788 R(x,y,T(z,K(y,u))) = R(x,y,z). [hyper(7818,a,7898,a),flip(a)]. 8789 R(x,T(y,z),T(u,K(y,w))) = R(x,T(y,z),u). [para(7990(a,1),8788(a,1,3,2))]. 8790 R(x,T(y,z),T(u,T(y,w))) = R(x,T(y,z),T(u,y)). [para(8406(a,1),8789(a,1,3))]. 8792 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(285,a,5178,a(flip),b,8064,a),flip(a)]. 8793 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7756(a,1),8792(a,1,2))]. 8794 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5981(a,1),8793(a,1,2,1))]. 8795 L(x,y,x) * K(T(y * x,y),x) = (y * x) / y. [para(4227(a,1),8104(a,1,1))]. 8796 K(x * L(y,z,y),y) = K(x * ((z * y) / z),y). [para(8795(a,1),8215(a,1,1,2)),flip(a)]. 8797 K(x * L(y,z,y),y) = K(y * x,y). [hyper(285,a,8293,a(flip),b,8796,a),flip(a)]. 8801 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(8174(a,1),8133(a,2,2))]. 8802 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(285,a,5788,a(flip),b,8801,a),flip(a)]. 8804 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7682(a,1),8238(a,1,1,2)),flip(a)]. 8805 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(66,a,8008,a(flip),b,8326,a),flip(a)]. 8806 K(T(x,R(y,z,u) * w),L(y,w,R(y,z,u))) = K(T(x,w),y). [hyper(66,a,8007,a(flip),b,8329,a),flip(a)]. 8807 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(7147(a,1),8462(a,1,2))]. 8808 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((1 / x) * y,x) \ y) * (x \ 1)) * y. [para(4828(a,1),8500(a,1,1,1,2)),flip(a)]. 8809 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(589(a,1),8611(a,1,2))]. 8810 K(x,a(K(x,y),z,u)) = 1. [hyper(66,a,6013,a(flip),b,8809,a),flip(a)]. 8812 T(x,a(K(x,y),z,u)) = x. [hyper(59,a,8810,a)]. 8813 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(57,a,8812,a)]. 8814 T(T(x,y),a(K(x,z),u,w)) = T(x,y). [para(8812(a,1),28(a,1,1)),flip(a)]. 8815 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(8812(a,1),7756(a,1,2,1)),flip(a)]. 8816 ((K(x,y) * z) * (z \ x)) / T(x,y) = a(K(x,y),z,z \ x). [para(8814(a,1),6154(a,1,2))]. 8817 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(8813(a,1),7756(a,1,2,1)),flip(a)]. 8818 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(442(a,1),8732(a,2,2))]. 8819 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(7999,a,8807,a)]. 8821 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5527(a,1),7638(a,1,2))]. 8822 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5527(a,1),8821(a,2,2))]. 8823 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [hyper(124,a,8822,a(flip),b,104,a),flip(a)]. 8824 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4121(a,1),8823(a,1,2,1))]. 8825 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4121(a,1),8824(a,2,2,2))]. 8826 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(8825(a,1),4158(a,1,1))]. 8827 K((x / y) \ 1,x * K(y,z)) = T(x * (y / x),z) \ T(y,z). [hyper(66,a,7066,a,b,7655,a)]. 8829 (x / ((y * z) / y)) \ (x * K(z,u)) != w | K(y,z) * T(z,u) = w. [para(7788(a,2),6546(a,1))]. 8831 K(T(x,y),z \ (y * (x \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(66,a,7792,a(flip),b,8077,a)]. 8832 K((T(x,y) * z) \ u,T(x,z)) = K(u / (T(x,y) * z),x). [hyper(66,a,7695,a(flip),b,8086,a)]. 8833 K(T(x,y),((x \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(66,a,7792,a(flip),b,8092,a)]. 8834 K(T(x,y),L(T(z,y),y,x \ 1)) = K(x,((x \ 1) * (z * y)) / ((x \ 1) * y)). [para(216(a,1),8833(a,1,2))]. 8835 K(T(x,T(y,x)),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(6327(a,2),8833(a,1,2,1))]. 8836 T(x * K(y,T(x,z)),u) / T(x,u) = K(y,T(T(x,u),z)). [hyper(66,a,8027,a(flip),b,8108,a),flip(a)]. 8837 L(K(T(x \ 1,y),z),u,w) = K(T(L(x,u,w) \ 1,y),z). [para(8028(a,1),8114(a,1,1))]. 8838 K(T(L(x \ 1,y,z) \ 1,u),w) = L(K(T(x,u),w),y,z). [para(3345(a,1),8837(a,1,1)),flip(a)]. 8839 K(x,T(L(y \ 1,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [para(8838(a,1),5320(a,1,1)),flip(a)]. 8840 x / (K(T(y,z),x) * K(x,z)) = T(x * K(z,x),y). [para(5335(a,1),8119(a,1,2,2))]. 8841 T(x * K(y,x),z) \ x = K(T(z,y),x) * K(x,y). [hyper(180,a,8840,a)]. 8843 T((x * y) / x,z) \ y = K(T(z,x),y) * K(y,x). [para(5149(a,2),8841(a,1,1,1))]. 8844 K(T(x,x * y),y) * K(y,x * y) = R(y,x,y) \ y. [para(5385(a,1),8841(a,1,1)),flip(a)]. 8845 K(T(x * y,x),y) * K(y,x) = L(y,x,y) \ y. [para(5400(a,1),8841(a,1,1)),flip(a)]. 8846 K(x * y,y) * K(y,x) = L(y,x,y) \ y. [para(7768(a,1),8845(a,1,1))]. 8847 L(x,y,x) \ x = x \ R(x,y,x). [hyper(66,a,5792,a(flip),b,8846,a),flip(a)]. 8848 T((x * y) / x,z) \ y = K(y,x) * K(T(z,x),y). [hyper(285,a,2229,a,b,8843,a),flip(a)]. 8849 K(x,y) * K(T(L(x,z,u) * y,y),x) = L(x,y,L(x,z,u)) \ x. [para(1523(a,1),8848(a,1,1)),flip(a)]. 8850 K(x,y) * K(y,x * y) = R(y,x,y) \ y. [para(6280(a,1),8844(a,1,1))]. 8851 R(x,y,x) \ x = x \ L(x,y,x). [hyper(66,a,8549,a(flip),b,8850,a),flip(a)]. 8852 x / R(x,y,x) = x \ L(x,y,x). [hyper(66,a,7040,a,b,8851,a)]. 8853 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(122,a,8851,a(flip),b,1153,a)]. 8854 (x * ((y \ L(y,z,y)) \ 1)) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),2708(a,1,1,2,1))]. 8855 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(8853(a,1),5056(a,2,2))]. 8856 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u * x)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [para(8160(a,1),6629(a,1,2))]. 8857 K(x \ (y * T(z,u)),T(z,y)) = K((y * T(z,u)) / x,z). [hyper(66,a,7696,a(flip),b,8161,a)]. 8858 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(66,a,6692,a(flip),b,8198,a)]. 8859 (K(x,L(y,z,u)) * (x / y)) * 1 = (x / y) * K(x,L(y,z,u)). [para(8637(a,1),8318(a,1,2))]. 8860 T(x * y,y) / (T(x * y,y) / x) = x * K(y,x). [para(4062(a,1),8346(a,2,2))]. 8861 T(x * K(y,x),T(x * y,y)) = L(x,y * K(x * y,y),x). [para(8860(a,1),5731(a,1,1))]. 8862 L(x,y * K(x * y,y),x) = L(x,y,x). [hyper(66,a,8748,a(flip),b,8861,a),flip(a)]. 8863 L(x,R(y,x,y),x) = L(x,y,x). [hyper(66,a,5661,a(flip),b,8862,a)]. 8864 L(x,R(T(y,y * x),x,T(y,y * x)),x) = L(x,L(y,x,y),x). [hyper(285,a,4332,a(flip),b,8863,a),flip(a)]. 8865 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). [para(616(a,1),8382(a,1,1,2,1)),flip(a)]. 8866 K(x,(y * (x / y)) \ z) = K(x,x \ z). [hyper(66,a,7114,a(flip),b,8467,a),flip(a)]. 8868 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(7681(a,2),8476(a,2,1))]. 8869 T(K((x \ 1) \ y,z),y * x) = K((x \ 1) \ y,z). [hyper(224,a,8484,a,b,xx)]. 8871 T((x * y) \ ((x * K((y \ 1) \ x,z)) * y),x) = R(K((y \ 1) \ x,z),x,y). [para(8869(a,1),981(a,2,1))]. 8873 T(K(x,y),T(z,u * x)) != w | T(K(x,y),T(z,x * u)) = w. [para(8491(a,1),8438(a,1))]. 8874 K(x,x \ y) * (z * (y / (y / x))) = T(z * x,K(x,y)). [hyper(285,a,8226,a(flip),b,8494,a),flip(a)]. 8875 K(x,x \ y) * ((z * (x \ y)) * x) = T((z * (y / x)) * x,K(x,y)). [para(7567(a,1),8874(a,1,2))]. 8876 T(x,T((y * z) \ y,u)) = T(x,T(z \ 1,u)). [hyper(285,a,8513,a(flip),b,8514,a),flip(a)]. 8877 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(15(a,1),8876(a,1,2,1,1)),flip(a)]. 8878 T(x,y \ ((z \ u) \ y)) = T(x,T(u \ z,y)). [hyper(66,a,8474,a(flip),b,8877,a)]. 8879 K(x,y) * (y * x) = (x * y) * K((z * u) * (1 / (u * z)),u * z). [para(7217(a,2),8592(a,2,2))]. 8880 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7681(a,2),8596(a,1,2))]. 8881 T(x,(y * (z * K(x,u))) \ w) = T(x,(y * z) \ w). [hyper(285,a,5302,a,b,8621,a),flip(a)]. 8882 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(96(a,1),8881(a,1,2,1,2)),flip(a)]. 8883 K(x,y / (z * (K(u,x) / z))) = K(x,y * K(z \ K(u,x),z)). [para(7396(a,1),8702(a,1,2)),flip(a)]. 8885 T((T(x,y) \ 1) * x,T(x,z)) = (T(x,y) \ 1) * x. [para(8777(a,1),8778(a,1,1))]. 8886 K(L(K(x,y \ 1),z * K(y \ 1,u),w),v5) = K(K(L(y,z,w) \ 1,x) \ 1,v5). [para(5977(a,1),8779(a,2,1,1))]. 8887 K((x / y) \ 1,x * K(y,z)) = K(x \ T(y,z),x). [hyper(285,a,5625,a(flip),b,8827,a),flip(a)]. 8888 K(x \ y,K(y,z) * x) = K(x \ T(y,z),x). [hyper(66,a,8516,a(flip),b,8887,a)]. 8889 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(T(y,w),x),z,u) \ 1. [hyper(66,a,4612,a,b,8839,a)]. 8890 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(285,a,1810,a(flip),b,8855,a),flip(a)]. 8891 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5530(a,1),8890(a,1,2))]. 8892 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(285,a,6688,a(flip),b,8858,a),flip(a)]. 8893 K(x,L(y,z,u)) * (x / y) = (x / y) * K(x,L(y,z,u)). [hyper(133,a,8859,a)]. 8894 L(x,L(y,x,y),x) = L(x,T(y,x),x). [para(4259(a,1),8864(a,1,2)),flip(a)]. 8895 L(x,L(y,x,y),x) = L(x,y,x). [hyper(285,a,4328,a(flip),b,8894,a),flip(a)]. 8897 L(R(x,y,z),L(u,x,u),x) = R(L(x,u,x),y,z). [para(8895(a,1),34(a,1,1)),flip(a)]. 8898 L(R(x,y,z),L(u,x,u),x) = L(R(x,y,z),u,x). [hyper(285,a,34,a(flip),b,8897,a),flip(a)]. 8899 K(L(R(x,y,z),L(u,x,u),x),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [hyper(66,a,5309,a,b,8898,a)]. 8900 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / (z * (K(u,x) / ((z \ 1) \ 1)))). [hyper(66,a,7184,a(flip),b,8883,a),flip(a)]. 8901 K(x,T(L(1 / y,z,u) \ 1,w)) = L(K(x,T(y,w)),z,u). [hyper(285,a,6032,a(flip),b,8889,a),flip(a)]. 8902 L(K(x,T(y \ 1,z)),u,w) = K(x,T(L(y,u,w) \ 1,z)). [para(87(a,1),8901(a,1,2,1,1,1)),flip(a)]. 8903 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(32(a,2),7793(a,1,1))]. 8904 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8021(a,1),8314(a,1,2))]. 8905 L(K(x,T(y \ z,u)),y \ z,y) = K(x,T((z \ y) \ 1,u)). [hyper(285,a,8015,a(flip),b,8101,a),flip(a)]. 8906 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(66,a,8465,a(flip),b,8905,a),flip(a)]. 8907 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(6556,a,8906,a)]. 8909 K(x * ((y \ z) \ 1),T((y \ z) \ 1,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). [hyper(66,a,6120,a,b,8906,a)]. 8910 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(14(a,1),8906(a,1,2,1,1)),flip(a)]. 8913 K(x,T(y \ 1,z)) = K(x,z / (z * y)). [hyper(66,a,7995,a(flip),b,8910,a),flip(a)]. 8914 K(x,T(L(y,z,u) \ 1,u * z)) = K(x,(u * z) / (u * (z * y))). [para(103(a,1),8913(a,2,2,2))]. 8915 K(R(x,y,R(T(x,y),z,u)),T(w,y)) = K(x,T(w,R(x,z,u) * y)). [hyper(66,a,8008,a(flip),b,8110,a),flip(a)]. 8916 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = K(T(1 / x,z * K(x,u)) \ 1,y). [para(8470(a,1),6083(a,1,1,1)),flip(a)]. 8918 x / (x / R(K(y,z),u,w)) = (R(K(y,z),u,w) \ x) \ x. [para(8598(a,1),4179(a,1,2))]. 8919 T(T(x * K(x \ y,x),y),z) = L(T(x,z),x \ T(y,x),x). [para(5074(a,1),8649(a,1,1,1))]. 8920 L(T(x,y),x \ T(z,x),x) = T(L(x,x \ z,x),y). [para(5097(a,1),8919(a,1,1)),flip(a)]. 8921 L(T(x,y),x \ T(z,x),x) = L(T(x,y),x \ z,x). [hyper(285,a,30,a,b,8920,a),flip(a)]. 8922 L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). [para(8921(a,1),34(a,1,1)),flip(a)]. 8923 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [hyper(66,a,7032,a(flip),b,8669,a),flip(a)]. 8924 K(x / ((T(y,z) \ u) * w),y) = K(x / ((y \ u) * w),y). [para(5516(a,1),8923(a,1,1,2,1)),flip(a)]. 8925 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(8923(a,1),8780(a,1,2,1,2,2)),flip(a)]. 8926 K(x,R(y \ 1,y,z) \ (x \ 1)) = K(x,(z * y) / (T(z,y) * x)). [hyper(66,a,7163,a(flip),b,8684,a)]. 8927 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(((z / x) * u) \ (z * u),y) \ 1. [para(8786(a,1),7712(a,2,1))]. 8928 K(x,((y \ z) * u) \ (z * u)) = R(K(x,T(y,z * u)),z,u). [hyper(66,a,8622,a(flip),b,8787,a),flip(a)]. 8930 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(8804(a,2),6262(a,1))]. 8931 K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(2684(a,1),8903(a,2,1,1))]. 8932 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7626(a,1),7633(a,1,2,2)),flip(a)]. 8933 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(285,a,5595,a(flip),b,8932,a),flip(a)]. 8935 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,8933,a),flip(a)]. 8936 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,7107,a(flip),b,7750,a),flip(a)]. 8937 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(66,a,6727,a(flip),b,8936,a)]. 8938 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(205(a,1),8936(a,1,1,2)),flip(a)]. 8940 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(8938(a,2),6554(a,1))]. 8941 (x * (y * K(z,u))) / (K(u,z) \ y) = x * K(u,K(z,K(u,z) \ y)). [para(7396(a,1),7877(a,1,1,2))]. 8942 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7932(a,1),7923(a,1,1))]. 8943 K((T(x,y) / z) / (x / z),u) * (T(x,K(u,y)) / z) = x / z. [hyper(5452,a,8942,a)]. 8944 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(8942(a,1),114(a,1,1,1)),flip(a)]. 8945 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(8943(a,1),47(a,1)),flip(a)]. 8946 T(T(x,y) * K(z,x),u) / T(T(x,y),u) = K(z,T(x,u)). [hyper(285,a,8008,a(flip),b,8032,a),flip(a)]. 8948 K(x,T(y,z)) * T(T(y,u),z) = T(T(y,u) * K(x,y),z). [hyper(136,a,8946,a)]. 8949 K(x,T(y,z)) * T(T(y,z),u) = T(T(y,u) * K(x,y),z). [para(28(a,1),8948(a,1,2))]. 8950 T(T(x,y * T(x,z)) * K(y,x),z) = L(T(x,z),y,T(x,z)). [hyper(66,a,5519,a(flip),b,8949,a),flip(a)]. 8951 T(x,y * T(x,z)) * K(y,x) = L(x,y,T(x,z)). [hyper(143,a,8950,a),flip(a)]. 8953 L(x,y,T(x,z)) = T(x,x * y) * K(y,x). [para(8159(a,1),8951(a,1,1)),flip(a)]. 8954 L(x,y,T(x,z)) = L(x,y,x). [hyper(285,a,5670,a(flip),b,8953,a),flip(a)]. 8958 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(8954(a,1),30(a,2,1))]. 8961 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(285,a,30,a,b,8958,a),flip(a)]. 8963 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),(((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u)). [para(5114(a,1),8245(a,1,2)),flip(a)]. 8964 T(x,T(y,z)) * K(z \ y,z) = K(z \ y,z) * T(x,y). [hyper(66,a,8722,a(flip),b,8317,a)]. 8965 (K(x,T(y,z)) * u) * (K(y,w) * K(K(x,T(y,z)) * u,K(y,w))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(8389(a,2),5220(a,2,1))]. 8966 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(285,a,8334,a(flip),b,8415,a),flip(a)]. 8967 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(66,a,8419,a(flip),b,8966,a)]. 8970 K(x,K(y,T(y \ z,u))) * K(x,z / y) = K(x,T(y \ z,K(y,u))). [para(5340(a,1),8597(a,1,1,2))]. 8971 K(x \ y,T(y / x,z) * u) = K(x \ y,(x \ y) * u). [hyper(66,a,8149,a(flip),b,8601,a),flip(a)]. 8973 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (x \ y)). [hyper(285,a,6626,a,b,8971,a),flip(a)]. 8974 K(x \ y,T(y / x,z) * u) = K(x \ y,u * (y / x)). [hyper(285,a,8130,a,b,8973,a),flip(a)]. 8975 K(x \ y,(y / x) * z) = K(x \ y,z * (y / x)). [para(115(a,1),8974(a,1,2,1))]. 8976 K((x \ y) \ K(x \ y,(y / x) * z),u) = K(y \ x,T(u,z * (y / x))). [para(8975(a,2),8546(a,1,1,2))]. 8977 R(K(x,y),y * (K(z,y) * u),w) = K(x,R(T(y * K(z,y),z),u,w)). [para(4409(a,1),8624(a,1,2))]. 8978 K(x,(y * (z / y)) / ((z / y) * x)) = K(x,z / ((y \ z) * x)). [hyper(285,a,8683,a(flip),b,8685,a),flip(a)]. 8979 K(x,R(x \ y,x,z / y)) = K(x,z / ((y \ z) * x)). [hyper(66,a,8687,a,b,8978,a)]. 8980 K(x,R(x \ (y / z),x,y / (y / z))) = K(x,y / (z * x)). [para(90(a,1),8979(a,2,2,2,1))]. 8981 K(T(x,T(y,z)) \ K(y,u),w) = T(K(x \ K(y,u),w),T(y,z)). [hyper(66,a,6577,a(flip),b,8721,a),flip(a)]. 8982 T(((1 / x) * (x / y)) * y,K(y,x)) = a(x \ 1,y \ x,y). [hyper(66,a,6305,a(flip),b,8875,a),flip(a)]. 8983 T(a(x \ 1,x / y,y),K(y,x)) = a(x \ 1,y \ x,y). [para(3938(a,1),8982(a,1,1))]. 8984 T((x * y) * (1 / (y * x)),y * x) = (x * y) * (1 / (y * x)). [hyper(6607,a,8879,a)]. 8985 ((x * y) * K(y * x,(y * x) \ 1)) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(8984(a,2),6049(a,1,2))]. 8986 L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). [hyper(285,a,34,a(flip),b,8922,a),flip(a)]. 8987 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,K(u,z) \ y)). [para(5334(a,1),8941(a,1,2))]. 8988 K(x,K(y,T(z,u))) * K(x,y / z) = K(x,T(z \ y,K(z,u))). [para(8324(a,1),8970(a,1,1))]. 8989 K(x,R(T(y * K(z,y),z),u,w)) = K(x,R(y,K(z,y) * u,w)). [hyper(66,a,6105,a(flip),b,8977,a),flip(a)]. 8990 K(x,R(y,K(z,y) * u,w)) = K(x,R(y,u,w)). [para(5150(a,1),8989(a,1,2,1)),flip(a)]. 8991 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),8990(a,1,2,2)),flip(a)]. 8992 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(8991(a,1),7399(a,1,1,2)),flip(a)]. 8993 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(285,a,7399,a(flip),b,8992,a),flip(a)]. 8994 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(66,a,7020,a(flip),b,8993,a)]. 8996 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(285,a,7018,a(flip),b,8994,a),flip(a)]. 8997 R(K(x,y),K(z,x) * u,w) = R(K(x,y),u,w). [para(5360(a,1),8996(a,1,2)),flip(a)]. 8998 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(5234(a,1),8996(a,1,2))]. 8999 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(6254(a,1),8996(a,1,2)),flip(a)]. 9000 R(K(x,y),z * K(u,x),w) = R(K(x,y),z,w). [para(8080(a,1),8996(a,1,2)),flip(a)]. 9001 K(R(x,T(x,y) \ z,u),w) = R(K(x,w),z,u). [hyper(66,a,7019,a(flip),b,8997,a)]. 9002 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(8998(a,1),6160(a,1,1))]. 9004 R(K(x,y),T(x,z) * u,w) = K(R(x,u,w),y). [para(14(a,1),9001(a,1,1,2)),flip(a)]. 9005 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(8035(a,1),8999(a,1,2,2))]. 9006 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9002(a,1),47(a,1)),flip(a)]. 9007 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(u,K(z,y)). [para(8137(a,1),8987(a,2,2,2))]. 9008 (x * (y * K(z,u))) / (K(z,u) * y) = x * K(z,K(y,u)). [para(7884(a,2),9007(a,2,2))]. 9010 L(K(x,y) * K(x,K(y,z * (u * x))),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(6322(a,1),7922(a,2,1,2))]. 9011 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,T(R(x,y,z),w)). [para(8015(a,1),8094(a,1,2,1,2))]. 9012 R(x,y,z) \ R(x * K(u,T(x,w)),y,z) = K(u,R(T(x,w),y,z)). [para(32(a,2),9011(a,2,2))]. 9013 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,T(L(x,u,w),z)). [para(8015(a,1),8095(a,1,1,1,2))]. 9014 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,z),u,w)). [para(30(a,2),9013(a,2,2))]. 9015 L(x * K(y,T(x,z)),u,w) / L(x,u,w) = K(y,L(T(x,x * z),u,w)). [para(7695(a,1),9014(a,1,1,1,2))]. 9016 ((x * y) * z) / ((x * T(y,T(u,x))) * z) = R(K(u,y),x * y,z). [para(6322(a,1),8355(a,1,2,1))]. 9017 R(K(x,y),z * y,u) = K(T(x,z),R(T(y,z),z,u)). [hyper(66,a,8551,a(flip),b,9016,a),flip(a)]. 9018 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(285,a,8012,a(flip),b,9017,a),flip(a)]. 9020 K(R(x,y,z),y) = K(x,R(y,x,z)). [hyper(66,a,7014,a(flip),b,9018,a)]. 9021 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(15(a,1),9018(a,1,2))]. 9022 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(8134(a,1),9018(a,1,1))]. 9023 x * K(R(x,y,z),y) = T(x,R(y,x,z)). [hyper(124,a,9020,a,b,5125,a(flip))]. 9024 K(R(x,R(y,z,u),w),R(y,z,u)) = K(x,R(R(y,x,w),z,u)). [para(36(a,1),9020(a,2,2))]. 9025 K(x,R(y,x,z)) * R(x,y,z) = T(R(x,y,z),y). [para(9020(a,1),5190(a,2,1)),flip(a)]. 9026 K(x,R(y,x,z)) * R(x,y,z) = R(T(x,y),y,z). [hyper(285,a,32,a,b,9025,a),flip(a)]. 9027 T(x,R(y,x,z)) \ R(T(x,y),y,z) = x \ R(x,y,z). [hyper(122,a,9026,a(flip),b,5153,a)]. 9028 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(66,a,9005,a(flip),b,9022,a)]. 9030 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9018,a(flip),b,9028,a),flip(a)]. 9031 R(K(x,y),(y * K(z,x)) * u,w) = K(x,R(y,u,w)). [hyper(66,a,8142,a,b,9030,a)]. 9032 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7392(a,1),9030(a,1,2,1)),flip(a)]. 9034 K(R(x \ y,z,u),T(y,x)) = K(R(x \ y,z,u),y). [hyper(5474,a,8370,a),flip(a)]. 9036 K(R(x / y,z,u),x) = K(R(y \ x,z,u),x). [hyper(66,a,8019,a(flip),b,9034,a)]. 9037 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x * K(y,x),z,u),T(x,y) * y). [para(6217(a,1),9036(a,1,1,1)),flip(a)]. 9038 K(x,L(T(y,y * z),u,w)) = K(x,L(T(y,z),u,w)). [hyper(66,a,9014,a(flip),b,9015,a),flip(a)]. 9039 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(T(y * K(z,y),z),u,w)). [para(5246(a,1),9038(a,1,2,1))]. 9040 K(x,L(L(y,z,y * K(z,y)),u,w)) = K(x,L(y,u,w)). [para(5150(a,1),9039(a,2,2,1))]. 9041 K(x,L(L(y,z,y),u,w)) = K(x,L(y,u,w)). [para(5399(a,1),9040(a,1,2,1))]. 9042 K(x,L(R(y,z,y),u,w)) = K(x,L(y,u,w)). [para(4586(a,1),9041(a,1,2,1)),flip(a)]. 9043 K(x,L(y,z,y)) = K(x,y). [para(4245(a,1),9042(a,1,2)),flip(a)]. 9044 L(K(x,y),z,y) = K(x,y). [hyper(6652,a,9043,a)]. 9045 K(T(x / (y * z),y),z) = K((y * z) \ x,z). [hyper(66,a,8338,a(flip),b,9043,a)]. 9046 T(x,L(y,z,y)) = x * K(x,y). [hyper(124,a,9043,a(flip),b,5125,a(flip)),flip(a)]. 9047 K(x,R(y,z,y)) = K(x,y). [para(4586(a,1),9043(a,1,2)),flip(a)]. 9048 K(L(x,y,z),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9044,a)]. 9049 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(66,a,6663,a(flip),b,9044,a),flip(a)]. 9050 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(66,a,6662,a(flip),b,9044,a)]. 9051 (x * y) * K(z,x) = x * (y * K(z,x)). [hyper(124,a,9044,a(flip),b,7068,a(flip))]. 9056 R(K(x,y),z,y) = K(x,y). [hyper(7551,a,9047,a)]. 9057 K(x,R(y,z,y)) = 1 / K(y,x). [hyper(285,a,5344,a,b,9047,a),flip(a)]. 9058 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [hyper(124,a,9047,a(flip),b,5805,a),flip(a)]. 9059 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(35(a,1),9048(a,1,1))]. 9060 K((x \ 1) \ y,x) = K(x * y,x). [para(452(a,1),9048(a,1,1)),flip(a)]. 9061 T(x,L(y,z,x)) = 1 / (x \ K(y,x)). [para(9048(a,1),5302(a,2,2,2))]. 9062 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(9048(a,1),5805(a,1,2,1,2)),flip(a)]. 9063 K(R(x,y,z),L(u,w,x)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(9048(a,1),5807(a,1,1,1,2)),flip(a)]. 9064 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(9048(a,1),8027(a,1,1,2)),flip(a)]. 9065 K(R(x,y,z),z) = K(x,z). [hyper(66,a,9004,a(flip),b,9056,a)]. 9066 (K(x,y) * z) * y = K(x,y) * (z * y). [para(9056(a,1),112(a,1,1)),flip(a)]. 9067 K(T(x / (y * z),y),z) = K(y \ (x / z),z). [para(605(a,1),9065(a,1,1))]. 9068 T(x,L(y,z,y)) = x / K(y,x). [hyper(285,a,7396,a,b,9046,a),flip(a)]. 9069 T(x,L(y,z,y)) = T(x,y). [hyper(285,a,5130,a,b,9046,a),flip(a)]. 9071 T(x / L(y,z,y),y) = L(y,z,y) \ x. [hyper(630,a,9069,a),flip(a)]. 9073 T(x * L(y,x,y),L(y,z,y)) = T(x,y) * y. [hyper(285,a,4329,a(flip),b,9069,a),flip(a)]. 9075 L(x,y,x) * T(z,x) = z * L(x,y,x). [hyper(124,a,9069,a(flip),b,27,a(flip))]. 9077 T(x,R(y,z,y)) = T(x,y). [para(4586(a,1),9069(a,1,2)),flip(a)]. 9078 R(x,y,x) * T(z,x) = z * R(x,y,x). [hyper(124,a,9077,a(flip),b,27,a(flip))]. 9079 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4290(a,1),9077(a,1,2))]. 9080 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4618(a,1),9077(a,1,2))]. 9081 K(R(x,y,x),z) = K(x,z). [hyper(39,a,5344,a,b,9057,a(flip))]. 9082 K(x,R(y,z,y)) != u | K(x,y) = u. [para(9057(a,2),5350(a,1))]. 9083 x * K(R(x,y,x),z) = T(x,z). [hyper(124,a,9081,a,b,5125,a(flip))]. 9084 R(K(x,y),z,x) = K(x,y). [hyper(66,a,9001,a(flip),b,9081,a)]. 9085 R(x,y,x) * K(x,z) = R(T(x,z),y,x). [hyper(124,a,9081,a(flip),b,5179,a)]. 9086 K((x \ y) \ T(y,x),z) = K(x,z). [para(4252(a,1),9081(a,1,1))]. 9089 K(x,R(y,z,x)) = K(x,y). [hyper(66,a,9031,a(flip),b,9084,a)]. 9090 (K(x,y) * z) * x = K(x,y) * (z * x). [para(9084(a,1),112(a,1,1)),flip(a)]. 9092 T(x,R(y,z,x)) = x * K(x,y). [hyper(124,a,9089,a(flip),b,5125,a(flip)),flip(a)]. 9093 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(6105(a,1),9089(a,1,2))]. 9094 (x * (K(y,x) * z)) * y = K(y,x) * ((x * z) * y). [para(9089(a,1),6813(a,1,1)),flip(a)]. 9095 K(L(x,y,x),z) = K(x,z). [hyper(5230,a,9068,a)]. 9097 L(K(x,y),z,x) = K(x,y). [hyper(66,a,8727,a(flip),b,9095,a)]. 9099 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(9095(a,1),5272(a,1,1))]. 9100 K(L(T(x,y),z,x),u) = K(T(x,y),u). [para(8961(a,1),9095(a,1,1))]. 9101 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(285,a,14,a,b,9097,a),flip(a)]. 9102 K(x,L(y,z,x)) = K(x,y). [hyper(66,a,8735,a(flip),b,9097,a)]. 9103 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(66,a,6637,a(flip),b,9097,a)]. 9104 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(66,a,6636,a(flip),b,9097,a),flip(a)]. 9105 a(x,y,K(x,z)) = 1. [hyper(56,a,9097,a)]. 9106 x * ((x \ y) * K(x,z)) = y * K(x,z). [hyper(124,a,9097,a(flip),b,104,a),flip(a)]. 9107 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(124,a,9097,a(flip),b,7068,a(flip))]. 9110 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(35(a,1),9102(a,1,2))]. 9111 K(x,(x \ 1) \ y) = K(x,x * y). [para(452(a,1),9102(a,1,2)),flip(a)]. 9112 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(695(a,1),9102(a,1,2)),flip(a)]. 9113 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(9102(a,1),6653(a,1,1)),flip(a)]. 9114 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(122,a,9083,a(flip),b,6860,a),flip(a)]. 9115 T(x,R(y,z,x)) = T(x,y). [hyper(285,a,5130,a,b,9092,a),flip(a)]. 9116 T(x,T(y / (z * x),z)) = T(x,z \ (y / x)). [para(605(a,1),9115(a,1,2))]. 9117 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(702(a,1),9115(a,1,2))]. 9121 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(66,a,6691,a(flip),b,9060,a),flip(a)]. 9122 x \ T(x * y,x) = y * K(x * y,x). [hyper(124,a,9060,a(flip),b,6466,a),flip(a)]. 9123 L(K(x * y,x),y,z) = K((z * (x \ 1)) \ (z * y),x). [para(9060(a,1),6661(a,1,1))]. 9124 x * L(y * K(x * y,x),z,u) = T(x * L(y,z,u),x). [para(9060(a,1),6902(a,1,2,1,2))]. 9125 x * R(y * K(x * y,x),z,u) = T(x * R(y,z,u),x). [para(9060(a,1),6953(a,1,2,1,2))]. 9127 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(y,x),T(y,z)). [hyper(66,a,8574,a,b,9079,a)]. 9128 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(66,a,8399,a(flip),b,9079,a),flip(a)]. 9129 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(117(a,1),9079(a,1,2))]. 9130 T(x,T(y,z \ 1)) = T(x,T(y,z \ y)). [para(4076(a,1),9079(a,1,2))]. 9131 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(630,a,9129,a),flip(a)]. 9132 T(x,L(y,z,x)) = T(x,y). [hyper(285,a,5302,a,b,9061,a),flip(a)]. 9133 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(268(a,1),9132(a,1,2))]. 9134 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(453(a,1),9132(a,1,2)),flip(a)]. 9135 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (z * x)). [para(822(a,1),9132(a,1,2)),flip(a)]. 9136 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(706(a,1),9093(a,1,2,2))]. 9137 K(T(x,y),z) * L(T(x,y),u,x) = L(T(T(x,y),z),u,x). [para(9100(a,1),5272(a,1,1))]. 9139 L(K(x,y),z,x) != u | K(x,y) = u. [para(9101(a,2),304(a,1)),flip(b)]. 9140 K(L(x,y,x),z) != u | K(x,z) = u. [para(6653(a,1),9139(a,1))]. 9141 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6637(a,1),9139(a,1))]. 9142 K(x,y) != z | K(R(x,u,x),y) = z. [para(4586(a,1),9140(a,1,1))]. 9144 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(15(a,1),9049(a,2,1,2))]. 9145 L(K(x \ (y * (z \ u)),y),z \ u,z) = K((z * (y \ x)) \ u,y). [para(9049(a,1),6662(a,1,1))]. 9146 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,1 / ((y * x) \ y)). [para(1483(a,1),9050(a,1,1,1)),flip(a)]. 9147 T(T(x * K(y \ (x \ z),x),u),w) \ T(T(x,u),w) = K(T(T(x,u),w),(x * y) \ z). [para(9050(a,1),5894(a,1,1,1,1,2))]. 9148 K(T(x * K(y \ (x \ (z * x)),x),x),u) = K(x,T(u,T(z \ (x * y),x) \ x)). [para(9050(a,1),8745(a,1,1,1,2))]. 9149 x * (y * K(x * y,x)) = T(x * y,x). [hyper(5180,a,9051,a),flip(a)]. 9150 R(x,y,K(z,x)) = x. [hyper(475,a,9051,a)]. 9151 R(x,y,K(z,T(x,u))) = x. [hyper(144,a,9150,a(flip))]. 9152 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(9150(a,1),471(a,1,1,1)),flip(a)]. 9153 (R(x,y,z) * u) * K(w,x) = R(x,y,z) * (u * K(w,x)). [para(9150(a,1),473(a,1,1,1)),flip(a)]. 9157 (x * y) * K(z,T(x,u)) = x * (y * K(z,T(x,u))). [para(9151(a,1),112(a,1,1)),flip(a)]. 9158 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(9151(a,1),472(a,1,1,1)),flip(a)]. 9159 L(x,y,K(z,x)) = x. [hyper(445,a,9066,a)]. 9161 K(x,y) * (T(z,K(x,y)) * y) = (z * K(x,y)) * y. [para(116(a,1),9066(a,1,1)),flip(a)]. 9162 L(x,y,K(x,z)) = x. [hyper(6947,a,9159,a)]. 9163 L(x,y,K(z,L(x,u,w))) = x. [hyper(147,a,9159,a)]. 9165 L(L(x,y,z),u,K(w,x)) = L(x,y,z). [para(9159(a,1),35(a,1,1)),flip(a)]. 9166 (K(x,y) * z) * y != u | K(x,y) * (z * y) = u. [para(9159(a,1),265(a,1,2))]. 9167 (K(x,y) * z) * L(y,u,w) = K(x,y) * (z * L(y,u,w)). [para(9159(a,1),410(a,1,2,1))]. 9168 L(K(x,y),z,K(u,y)) = K(x,y). [para(9159(a,1),6646(a,1,2)),flip(a)]. 9169 L(K(x,y),z,K(u,x)) = K(x,y). [para(9159(a,1),6651(a,1,1)),flip(a)]. 9170 L(x,y,K(R(x,z,u),w)) = x. [hyper(149,a,9162,a(flip))]. 9171 L(T(x,y),z,K(x,u)) = T(x,y). [para(9162(a,1),30(a,2,1))]. 9172 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(9162(a,1),410(a,1,2,1))]. 9173 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(9162(a,1),411(a,1,2,1))]. 9176 L(K(x,y),z,K(y,u)) = K(x,y). [para(9162(a,1),6646(a,1,2)),flip(a)]. 9177 L(K(x,y),z,K(x,u)) = K(x,y). [para(9162(a,1),6651(a,1,1)),flip(a)]. 9179 K(x,L(y,z,u)) * (x / y) = T(x,L(y,z,u)) / y. [para(9163(a,1),5280(a,1,2)),flip(a)]. 9180 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = (K(R(x,y,z),u) * (w * x)) / (w * x). [para(9170(a,1),444(a,1,2,2)),flip(a)]. 9181 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(66,a,8726,a(flip),b,9168,a)]. 9182 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [hyper(124,a,9168,a(flip),b,7068,a(flip))]. 9183 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(66,a,8735,a(flip),b,9169,a)]. 9184 (K(x,y) * (x \ z)) \ (K(x,y) * z) = T(x,x \ z). [hyper(66,a,320,a(flip),b,9171,a)]. 9188 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [hyper(124,a,9176,a(flip),b,7068,a(flip))]. 9189 (K(x,y) * z) * R(K(u,x),w,v5) = K(x,y) * (z * R(K(u,x),w,v5)). [para(9176(a,1),411(a,1,2,1))]. 9192 L(K(x,y),z,R(K(y,u),w,v5)) = K(x,y). [para(6094(a,1),9176(a,1,3))]. 9193 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(66,a,8735,a(flip),b,9177,a)]. 9194 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [hyper(124,a,9177,a(flip),b,7068,a(flip))]. 9195 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(9177(a,1),30(a,2,1))]. 9196 L(R(K(x,y),z,u),w,K(x,v5)) = R(K(x,y),z,u). [para(9177(a,1),34(a,1,1)),flip(a)]. 9197 K(x \ (K(y,z) * u),z) = K(x \ u,z). [hyper(66,a,8584,a(flip),b,9181,a)]. 9198 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(9181(a,1),5232(a,2,1,1))]. 9199 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(35(a,1),9183(a,1,2))]. 9200 K(x,K(y,L(z,u,K(x,w)))) = K(y,K(x,z)). [para(9193(a,1),7881(a,1,2)),flip(a)]. 9202 (K(x,y) * z) / L(y,u,w) = K(x,y) * (z / L(y,u,w)). [para(9165(a,1),499(a,1,2))]. 9203 (x / L(y,z,y)) * y = y * (L(y,z,y) \ x). [hyper(124,a,9071,a(flip),b,27,a(flip)),flip(a)]. 9205 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(118(a,1),9075(a,1,2))]. 9207 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(118(a,1),9078(a,1,2))]. 9209 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5960,a,9080,a),flip(a)]. 9210 K(x,y) * R(x,z,x) = R(T(x,y),z,x). [hyper(3372,a,9085,a)]. 9211 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(122,a,9085,a(flip),b,5524,a)]. 9212 R(x,y,x) * (K(x,z) * u) = R(T(x,z),y,x) * u. [para(9085(a,1),4452(a,1,1)),flip(a)]. 9213 (K(x,y) * z) * x = T(x,y) * T(z,x). [hyper(285,a,5518,a(flip),b,9090,a),flip(a)]. 9215 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(x,y)) * (x \ y). [para(8228(a,1),9090(a,1,1)),flip(a)]. 9217 K(x,y) * L(T(y,x),z,y) = L(y,z,y). [hyper(5452,a,9099,a)]. 9219 (x \ L(x,y,x)) \ L(T(x,z),y,x) = T(x,z). [hyper(122,a,9099,a(flip),b,5530,a)]. 9220 K(x,y) * (x \ L(x,z,x)) = x \ L(T(x,y),z,x). [hyper(122,a,9099,a(flip),b,5529,a),flip(a)]. 9221 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(9099(a,1),8891(a,1,2)),flip(a)]. 9222 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(66,a,8423,a,b,9103,a)]. 9223 K(x,y \ (x \ 1)) = K(x,x \ (y \ 1)). [hyper(66,a,7369,a(flip),b,9103,a),flip(a)]. 9224 K(x,K(y,y \ x) \ (x \ z)) = K(x,(y * (x / y)) \ z). [para(5435(a,1),9103(a,1,2,1)),flip(a)]. 9225 L(K(x,y \ (x \ 1)),z,u) = K(x,L(x * y,z,u) \ 1). [para(9103(a,1),5946(a,1,1))]. 9226 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(9103(a,1),6563(a,2,2))]. 9227 K(x,(y / x) \ z) = K(x,y \ (x * z)). [hyper(66,a,8154,a,b,9104,a)]. 9228 L(K(x,y \ (x * (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(9104(a,1),6637(a,1,1))]. 9230 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(122,a,5131,a(flip),b,9106,a),flip(a)]. 9231 (x \ y) * K(y,x) = x \ T(y,x). [hyper(7409,a,9230,a)]. 9232 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(128,a,9230,a),flip(a)]. 9233 (x \ T(y,x)) \ ((x \ y) * (K(y,x) * z)) = L(z,K(y,x),x \ y). [para(9231(a,1),23(a,2,1)),flip(a)]. 9234 T(x,y) * K(x * y,y) = y \ T(x * y,y). [para(27(a,2),9231(a,1,1))]. 9235 R(x,y,K(x,z)) = x. [hyper(475,a,9107,a)]. 9236 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(9107(a,1),6311(a,1,1))]. 9237 R(x,y,K(T(x,z),u)) = x. [hyper(144,a,9235,a(flip))]. 9238 R(T(x,y),z,K(x,u)) = T(x,y). [para(9235(a,1),32(a,2,1))]. 9239 R((x * y) / x,z,K(y,u)) = (x * y) / x. [para(9235(a,1),783(a,2,1,2))]. 9240 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(9235(a,1),471(a,1,1,1)),flip(a)]. 9241 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(9235(a,1),472(a,1,1,1)),flip(a)]. 9242 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(9235(a,1),473(a,1,1,1)),flip(a)]. 9243 R(x * y,K(x,z),K(y * K(x,z),x)) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(9235(a,1),1192(a,1,1,3,2))]. 9248 R(x,y,T(x,z)) = R(x,y,x). [para(9235(a,1),6901(a,1,1)),flip(a)]. 9250 (x * y) * z != x * (y * K(T(x,u),w)) | K(T(x,u),w) = z. [para(9237(a,1),474(a,1,1)),flip(a),flip(b)]. 9253 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(118(a,1),9248(a,1,3)),flip(a)]. 9254 R(x,y,(x \ z) \ z) = R(x,y,x). [para(117(a,1),9248(a,1,3))]. 9255 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,T(x,x \ y)). [para(615(a,1),9248(a,1,3))]. 9256 x \ R(T(y,y \ z),u,T((y \ z) \ z,w)) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9248(a,1),988(a,2,2))]. 9261 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [para(9238(a,1),6901(a,1,1)),flip(a)]. 9262 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(124,a,7819,a(flip),b,9122,a)]. 9263 T(x * y,x) / T(x,y) = y * K(x * y,x). [hyper(66,a,4495,a,b,9122,a)]. 9264 T(x \ T(x * y,x),z) = T(y,z) * K(x * T(y,z),x). [hyper(66,a,1362,a,b,9122,a)]. 9265 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,x \ ((y \ 1) \ x)). [para(4084(a,1),9122(a,1,2,1)),flip(a)]. 9266 x \ T(x * y,x) = y * K(y * x,x). [para(5785(a,2),9122(a,2,2))]. 9267 K((((x \ (x * y)) \ 1) * (x \ 1)) \ 1,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(9122(a,1),6971(a,1,2))]. 9268 (x * (y \ T(y * z,y))) \ (x * z) = L(K(y,y * z),z,x). [para(9122(a,2),7561(a,1,1,2))]. 9269 T(x,y \ (x \ 1)) / (x * y) = x * ((x / (x * y)) / x). [hyper(123,a,9133,a(flip),b,3815,a)]. 9270 T(x,(x \ y) \ (x \ z)) = T(x,y \ z). [para(15(a,1),9133(a,1,2,1)),flip(a)]. 9271 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ z)) = T(1 / x,(y * ((1 / x) / y)) \ z). [para(7173(a,1),9133(a,1,2,1)),flip(a)]. 9272 K(x * y,T(x,y \ (x \ z))) = K(x * y,T(x,z)). [para(9133(a,1),8419(a,1,2))]. 9273 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(66,a,8561,a,b,9134,a)]. 9274 T(x,(y / x) \ z) = T(x,y \ (x * z)). [hyper(66,a,7634,a,b,9134,a)]. 9275 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,9144,a)]. 9276 L(L(K(x,y),z,u),w,R(K(y,v5),v6,v7)) = L(K(x,y),z,u). [para(9192(a,1),35(a,1,1)),flip(a)]. 9278 K(x \ ((y \ z) * y),y) = K(x \ z,y). [para(5101(a,1),9197(a,1,1,2))]. 9279 K(x \ (y * z),z) = K(x \ (z * y),z). [para(5146(a,1),9197(a,1,1,2))]. 9280 K(x \ (K(y,z) * u),y) = K(x \ u,y). [para(5360(a,1),9197(a,1,1,2)),flip(a)]. 9281 K(x \ (y / z),y / z) = K(x \ (z \ y),y / z). [para(5234(a,1),9197(a,1,1,2))]. 9282 K(x \ (T(y,z) \ u),y) = K(x \ (y \ u),y). [para(5545(a,1),9197(a,1,1,2))]. 9284 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5709(a,1),9197(a,1,1,2))]. 9285 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5832(a,1),9197(a,1,1,2))]. 9286 T(K(x,y) * z,x) = K(x,y) * T(z,x). [hyper(224,a,9213,a,b,5152,a)]. 9289 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(285,a,7366,a,b,9223,a)]. 9290 K(x,(y \ 1) \ (x \ 1)) = K(x,x \ y). [hyper(285,a,7157,a(flip),b,9223,a),flip(a)]. 9291 (x \ (1 / y)) * K(x,y \ (x \ 1)) = (1 / y) / x. [para(9223(a,2),7174(a,1,2))]. 9292 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(285,a,4225,a(flip),b,9261,a),flip(a)]. 9293 T(T(x,y) * z,T(x,y)) = z * R(T(x,y),z,x). [hyper(124,a,9261,a(flip),b,4248,a),flip(a)]. 9294 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(5150(a,1),9261(a,1,1)),flip(a)]. 9295 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(9261(a,1),9047(a,1,2))]. 9296 T(x,R(T(y,z),u,y)) = T(x,T(y,z)). [para(9261(a,1),9077(a,1,2))]. 9297 K(x,T(R(y,z,y),u)) = K(x,T(y,u)). [para(32(a,1),9295(a,1,2))]. 9298 T(x,T(R(y,z,y),u)) = T(x,T(y,u)). [para(32(a,1),9296(a,1,2))]. 9299 K(x,T(T(y,y * z),u)) = K(x,T(T(y,z),u)). [para(4259(a,1),9297(a,1,2,1)),flip(a)]. 9300 T(x / R(y,z,y),T(y,x)) = R(y,z,y) \ x. [hyper(66,a,3981,a(flip),b,9298,a),flip(a)]. 9301 T(x,T(T(y,y * z),u)) = T(x,T(T(y,z),u)). [para(4259(a,1),9298(a,1,2,1)),flip(a)]. 9302 (x * K(x * y,y)) * K(y,x) = T(y * x,y) / y. [para(9266(a,1),6343(a,1,1))]. 9303 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (1 / x)) \ z). [para(2710(a,1),9274(a,1,2,1)),flip(a)]. 9304 K((x / y) \ z,y) = K(x \ (z * y),y). [hyper(66,a,8187,a,b,9275,a)]. 9305 K(((x \ y) \ z) \ x,x) = K(z \ y,x). [hyper(6674,a,9278,a)]. 9306 K((x / y) \ z,T(z,y)) = K(x \ (y * z),z). [hyper(285,a,6844,a,b,9279,a)]. 9307 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(9279(a,1),8027(a,1,1,2))]. 9308 ((x * y) / x) / ((x * (y * K(z \ (y * u),y))) / x) = K(y,T(z \ (u * y),x)). [para(9279(a,1),8780(a,1,2,1,2,2))]. 9309 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5115(a,1),9280(a,1,1,2)),flip(a)]. 9310 K(x \ (T(y,z) * (y \ u)),y) = K(x \ u,y). [para(5153(a,2),9280(a,1,1,2))]. 9311 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(7990(a,1),9280(a,1,1,2,1))]. 9312 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(6270,a,9286,a),flip(a)]. 9313 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6257,a,9286,a)]. 9314 T(K(x,y) * K(z \ 1,z),x) = K(z \ 1,z) * K(x,y). [hyper(285,a,2432,a(flip),b,9286,a),flip(a)]. 9315 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [para(15(a,1),9286(a,1,1)),flip(a)]. 9316 T(K(x,y) * T(z,u),x) = K(x,y) * T(T(z,x),u). [para(28(a,1),9286(a,2,2))]. 9317 T(K(x,y) * K(z,u),x) = K(x,y) * K(z,T(u,x)). [para(7681(a,2),9286(a,2,2))]. 9319 K(x,R((y \ 1) * x,z,u) \ 1) = R(K(x,x \ y),z,u). [para(9290(a,1),6934(a,1,1)),flip(a)]. 9320 K(x \ (y * (z \ x)),z \ x) = K(z \ y,z \ x). [para(87(a,1),9304(a,1,1,1)),flip(a)]. 9321 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T((T(y,u) * K(z,u)) \ 1,K(z,u) \ 1)). [para(9312(a,2),7847(a,2,2,1,1)),flip(a)]. 9322 T(K(x,y) * z,y) = K(x,y) * T(z,y). [para(14(a,1),9313(a,1,2,1)),flip(a)]. 9323 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(9313(a,1),1417(a,1,1)),flip(a)]. 9324 T(x * K(y,z),y) = T(x,y) * K(y,z). [para(9313(a,1),6268(a,1,1)),flip(a)]. 9325 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(66,a,5185,a,b,9315,a)]. 9327 (x \ K(y,z)) * T((x \ K(y,z)) \ u,y) = x \ T(x * u,y). [hyper(122,a,9315,a(flip),b,972,a),flip(a)]. 9328 T(K(x,y) * z,y) / T(z,y) = K(x,y). [hyper(123,a,9322,a,b,xx)]. 9330 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5764(a,1),9322(a,1,1)),flip(a)]. 9331 K(x,T(K(y,z) * u,z) \ 1) = K(x,T(u,z) \ K(z,y)). [para(9322(a,2),6416(a,1,2,1))]. 9332 x \ T(x * K(y,z),y) = K(x,y) * K(y,z). [hyper(122,a,9324,a,b,5152,a)]. 9335 T(x * y,x) / T(T(x,z) * y,x) = K(z,x). [para(5158(a,1),9328(a,1,1,1))]. 9336 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(285,a,8027,a(flip),b,9064,a),flip(a)]. 9337 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(453(a,1),9336(a,1,2,2)),flip(a)]. 9338 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(285,a,5232,a,b,9198,a),flip(a)]. 9339 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),9338(a,1,2))]. 9340 (((x * y) / x) \ z) * K(y,y \ z) = ((x * y) / x) \ (y * (z / y)). [para(9239(a,1),5622(a,1,1)),flip(a)]. 9341 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,z),u)). [para(9292(a,1),9297(a,1,2,1))]. 9343 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(285,a,6513,a,b,9058,a)]. 9344 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(285,a,3195,a(flip),b,9058,a),flip(a)]. 9345 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9058(a,2,2))]. 9346 K((x * y) \ z,y) = K(x \ (z / y),y). [hyper(66,a,9045,a(flip),b,9067,a)]. 9347 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(285,a,8200,a(flip),b,9346,a),flip(a)]. 9348 (x * y) * T((x * y) \ z,y) = z * K(x \ (y \ z),y). [hyper(124,a,9347,a(flip),b,6349,a),flip(a)]. 9349 K(L(x \ y,x,z / y),x) = K((z / y) \ (x \ z),x). [para(455(a,2),9347(a,1,1))]. 9350 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(9347(a,1),5803(a,1,1,1,2))]. 9351 (x * K(y \ (z \ u),z)) \ x = K(z,(y * z) \ u). [para(9347(a,1),7399(a,1,1,2))]. 9352 T(x,(y * x) \ z) = T(x,y \ (z / x)). [hyper(66,a,8564,a(flip),b,9116,a)]. 9353 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(285,a,7644,a(flip),b,9352,a),flip(a)]. 9354 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),9353(a,1,2))]. 9355 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(8452,a,9121,a)]. 9356 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6423,a,9121,a)]. 9357 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8873,a,9128,a)]. 9360 ((x / L(T(y,z),u,T(y,z))) * K(y,z)) * y = T(y,z) * (L(T(y,z),u,T(y,z)) \ x). [hyper(6447,a,9203,a)]. 9361 (x / R(y,z,y)) * L(R(y,z,y),z,R(y,z,y)) = y * (R(y,z,y) \ x). [para(4586(a,1),9205(a,1,1)),flip(a)]. 9362 (R(x,y,x) * (x \ z)) \ (z * R(x,y,x)) = x. [para(9207(a,2),1622(a,1,1))]. 9363 R(x,x \ y,x) * (x \ z) = (z / x) * ((x \ y) \ T(y,x)). [para(4252(a,1),9207(a,2,2))]. 9364 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(9207(a,1),6264(a,2,2))]. 9365 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(9236(a,1),6323(a,1,2))]. 9366 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7453(a,2),9253(a,1,1))]. 9367 L(K(x * y,x) * K(z * y,K(x * y,x)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(9263(a,2),5392(a,2,1,2))]. 9368 (T(x,K(y * x,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(9263(a,2),7642(a,1,2,1))]. 9369 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(211(a,1),9285(a,1,1)),flip(a)]. 9370 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(9289(a,1),6939(a,2,2))]. 9371 K(x * y,T(T(x,y),z)) = K(x * y,T(x,z)). [hyper(66,a,5337,a(flip),b,9299,a),flip(a)]. 9372 K(x,T(T(y,z),u * y)) = K(x,T(T(y,u),z)). [para(4189(a,1),9299(a,1,2))]. 9373 T(x,y) * (R(x,z,x) \ y) = (x * y) / R(x,z,x). [hyper(124,a,9300,a(flip),b,1679,a)]. 9374 T(x,T(T(y,z),u * y)) = T(x,T(T(y,u),z)). [para(4189(a,1),9301(a,1,2))]. 9375 K((x / y) \ z,T(z,y)) = K((y \ x) \ z,z). [hyper(285,a,6665,a,b,9306,a),flip(a)]. 9376 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,y \ x)). [para(87(a,1),9306(a,1,1,1)),flip(a)]. 9377 K(T(x,y),z \ (T(x,u) * (x \ w))) = T(x * K(z \ w,x),y) \ T(x,y). [para(9310(a,1),5724(a,1,1,1,2)),flip(a)]. 9378 x \ T(y * (x / y),y) = K(x,y) * K(y,y \ x). [para(5435(a,1),9332(a,1,2,1))]. 9379 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(9355(a,1),6185(a,1,1,1))]. 9380 T(x \ 1,y) \ T(x \ K(x \ z,x \ 1),y) = K(z * (x \ 1),T(x \ 1,y)). [para(9355(a,1),5892(a,1,2,1,2))]. 9384 R(T(x,y),z,x) / T(T(x,z),y) = K(x * z,T(x,y)). [hyper(66,a,6165,a,b,9371,a)]. 9385 K(x,T(T(y,z),u * y)) = K(x,T(T(y,z),u)). [para(28(a,1),9372(a,2,2))]. 9386 K(x,T(T(y,z),u \ 1)) = K(x,T(T(y,z),u \ y)). [para(4294(a,1),9385(a,1,2)),flip(a)]. 9387 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(285,a,6653,a(flip),b,9113,a),flip(a)]. 9388 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(453(a,1),9387(a,1,2)),flip(a)]. 9390 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(y,x) * R(T(T(x,y),z),y,x). [para(4370(a,1),9293(a,2,2))]. 9391 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(66,a,7995,a(flip),b,9112,a),flip(a)]. 9392 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(9391(a,2),7726(a,1,1))]. 9393 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(285,a,9221,a(flip),b,9114,a),flip(a)]. 9394 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(285,a,8570,a(flip),b,9117,a),flip(a)]. 9395 L(K(x,y),z,T(y,u)) = K(x,y). [hyper(445,a,9152,a)]. 9396 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(66,a,8203,a(flip),b,9152,a),flip(a)]. 9397 K(L(x,y,T(z,u)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9395,a)]. 9398 K((T(x,y) * z) \ u,x) = K(z \ (T(x,y) \ u),x). [hyper(66,a,6662,a(flip),b,9395,a)]. 9400 (T(x,y) * z) * L(K(u,x),w,v5) = T(x,y) * (z * L(K(u,x),w,v5)). [para(9395(a,1),410(a,1,2,1))]. 9401 K((x * ((T(y,z) * x) \ u)) / x,y) = K((T(y,z) \ u) / x,y). [para(789(a,1),9397(a,1,1))]. 9402 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(6760,a,9157,a),flip(a)]. 9403 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [hyper(445,a,9157,a)]. 9404 K((x * y) \ z,T(x,u)) = K(y \ (x \ z),T(x,u)). [hyper(66,a,6662,a(flip),b,9403,a)]. 9405 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(7495,a,9161,a)]. 9406 T(x * (y \ z),K(y,y \ z)) = T(x,K(y,z)) * (y \ z). [para(8226(a,1),9405(a,2,1))]. 9407 (x / y) * K(x,L(y,z,u)) = T(x,L(y,z,u)) / y. [hyper(66,a,8893,a(flip),b,9179,a)]. 9408 K(x,y) * (K(z,x) * (u * K(y,x))) = T(K(z,x) * u,K(x,y)). [para(9182(a,1),7941(a,1,2))]. 9409 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K((x \ y) \ u,x \ y)) \ y. [hyper(285,a,7461,a,b,9184,a),flip(a)]. 9410 T((K(x,y) * K(z,x)) \ (K(x,y) * (u * K(z,x))),K(x,y)) = R(T(u,K(x,y) * K(z,x)),K(x,y),K(z,x)). [para(9188(a,1),981(a,1,1,2))]. 9411 K(x,y) * (z * K((u * w) / u,x)) = (K(x,y) * z) * K(w,T(x,u)). [para(8015(a,1),9188(a,1,2)),flip(a)]. 9413 (x * (K(y,z) * (K(y,u) * w))) * K(K(y,u) * w,K(y,z)) = x * (K(y,u) * (w * K(y,z))). [para(9194(a,1),8309(a,2,2))]. 9414 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [hyper(66,a,6263,a(flip),b,9212,a)]. 9415 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(66,a,4967,a(flip),b,9226,a),flip(a)]. 9416 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(66,a,4946,a(flip),b,9226,a),flip(a)]. 9417 L(K(x,y),z,T(x,u)) = K(x,y). [hyper(445,a,9240,a)]. 9418 K(x,(T(x,y) * z) \ u) = K(x,z \ (T(x,y) \ u)). [hyper(66,a,6637,a(flip),b,9417,a)]. 9419 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(9262(a,1),6586(a,1,1,1))]. 9420 R(K(x \ (y \ z),z / y),z / y,y) = K(z / (x * y),z / y). [para(9281(a,1),7035(a,1,1))]. 9421 (1 / x) / T(y,x \ (y \ 1)) = y \ (1 / x). [hyper(38,a,6319,a,b,9291,a)]. 9422 (1 / x) * K(x \ (y \ 1),y) = (y \ (1 / x)) * y. [para(9421(a,1),7432(a,1,1)),flip(a)]. 9423 R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). [para(9309(a,1),5807(a,1,1,1,2))]. 9424 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(66,a,8048,a(flip),b,9311,a),flip(a)]. 9425 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(5146(a,1),9311(a,1,1,2)),flip(a)]. 9427 K(x \ (T(y,z) \ u),T(y,w)) = K(x \ (y \ u),T(y,w)). [para(5516(a,1),9311(a,1,1,2)),flip(a)]. 9428 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(7997(a,1),9311(a,1,1,2))]. 9430 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(66,a,7994,a(flip),b,9424,a),flip(a)]. 9431 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9430(a,1),7399(a,1,1,2)),flip(a)]. 9432 K((x * K(y,z)) / u,z) = K(x / u,z). [para(8080(a,1),9430(a,1,1,1)),flip(a)]. 9433 K(x,T((K(x,y) * z) / u,w)) = ((w * x) / w) / ((w * (x * K(z / u,x))) / w). [para(9430(a,1),8780(a,1,2,1,2,2)),flip(a)]. 9434 K((x * T(y,z)) / u,z) = K((x * y) / u,z). [para(1270(a,1),9432(a,1,1,1))]. 9435 K((x * L(K(y,z),u,w)) / v5,z) = K(x / v5,z). [para(5981(a,1),9432(a,1,1,1,2))]. 9436 K(x,(y * T(z,x)) / u) = (w * K((y * z) / u,x)) \ w. [para(9434(a,1),7399(a,1,1,2)),flip(a)]. 9437 K((x * (y * K(z,u))) / w,z) = K((x * y) / w,z). [para(7558(a,1),9435(a,1,1,1)),flip(a)]. 9438 T(K(x,y) * T(y,z),x) = y * K(T(y,x),z). [hyper(285,a,5552,a(flip),b,9316,a),flip(a)]. 9439 K(x * K(T(x,y),z),T(u,y)) = K(K(y,x) * T(x,z),u). [para(9438(a,1),7990(a,1,1))]. 9440 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,x \ z))). [para(976(a,1),9337(a,1,2,2)),flip(a)]. 9441 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(66,a,8616,a(flip),b,9339,a)]. 9443 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(5101(a,1),9441(a,1,2,2))]. 9444 T(x,y \ T(x,z)) = T(x,y \ x). [para(5143(a,1),9441(a,1,2,2)),flip(a)]. 9445 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(5146(a,1),9441(a,1,2,2))]. 9446 T(x,y \ (T(x,z) * u)) = T(x,y \ (x * u)). [para(5158(a,1),9441(a,1,2,2)),flip(a)]. 9447 T(K(x \ T(y,z),u),T(y,x \ y)) = T(K(x \ T(y,z),u),y). [para(9444(a,1),8397(a,1,2))]. 9448 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(9445(a,1),5178(a,1,2,1))]. 9449 (K(x,y) / x) * T((y * x) / y,z \ (((y * x) / y) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9445(a,1),8522(a,1,2))]. 9450 T(x / y,z \ ((x / y) * u)) = T(x / y,z \ ((y \ x) * u)). [para(118(a,1),9446(a,1,2,2,1)),flip(a)]. 9451 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(7411,a,9351,a),flip(a)]. 9452 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(9351(a,1),7411(a,1))]. 9453 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9451(a,1,2))]. 9454 K(x,L(x \ y,x,z)) != u | K(x,z \ (x \ (z * y))) = u. [para(105(a,2),9452(a,1,2))]. 9455 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,((x / y) \ (x * z)) / x). [hyper(285,a,7744,a(flip),b,9453,a),flip(a)]. 9456 K(x,y \ (x \ (y * ((x \ 1) \ z)))) = K(x,L(z,x,y)). [hyper(66,a,7361,a(flip),b,9453,a),flip(a)]. 9457 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4083(a,1),9453(a,2,2,2,2))]. 9458 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,(z / (z / y)) \ (x \ ((y \ z) * y))). [para(4201(a,1),9453(a,2,2,2,2))]. 9459 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(9393(a,1),9131(a,1,1,2,1))]. 9460 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(9122(a,2),9396(a,1,2))]. 9461 K((T(x,y) * z) \ u,x) = K(z \ (x \ u),x). [hyper(285,a,9282,a(flip),b,9398,a),flip(a)]. 9463 K((T(x,y) * z) \ u,K(x,w)) = K(w,K(z \ (x \ u),x)). [para(9461(a,1),7884(a,2,2))]. 9466 L(K(x \ (y \ 1),T(y,z)),u,w) = K(L(y * x,u,w) \ 1,T(y,z)). [para(9404(a,1),5977(a,1,1))]. 9467 (x * (y * ((x \ z) / y))) \ z = K(x \ (y \ z),y). [para(9416(a,1),7399(a,1,1))]. 9468 K(x \ (y \ 1),y) = K(y \ (x \ 1),y). [hyper(37,a,6721,a,b,9422,a),flip(a)]. 9469 K(x \ ((x \ y) \ 1),x) = K(y \ 1,x). [hyper(66,a,9144,a(flip),b,9468,a),flip(a)]. 9470 K(x \ (((x \ 1) * y) \ 1),x) = K(y \ 1,x). [hyper(66,a,6484,a(flip),b,9468,a),flip(a)]. 9471 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1),x). [para(1081(a,1),9469(a,1,1,2,1)),flip(a)]. 9472 T(x,x \ ((x \ y) \ 1)) = 1 / (x \ K(y \ 1,x)). [para(9469(a,1),5302(a,2,2,2))]. 9473 K(x \ (((y \ 1) \ 1) * z),T(z,u)) = K(x \ (z * y),T(z,u)). [hyper(285,a,6724,a(flip),b,9425,a),flip(a)]. 9474 K(x \ (y * (z * K(y,u))),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(6311(a,1),9425(a,1,1,2)),flip(a)]. 9475 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(285,a,7399,a(flip),b,9431,a),flip(a)]. 9476 K(x,(y * x) / z) = K(x,(x * y) / z). [para(5146(a,1),9475(a,1,2,1)),flip(a)]. 9477 K(x,((y / x) * z) / u) = K(x,((x \ y) * z) / u). [para(5564(a,1),9475(a,1,2,1))]. 9478 R(K(x,y / (z / u)),K(x,w) * y,u) = K(x,((K(x,w) * y) * u) / z). [para(9475(a,1),6102(a,1,1))]. 9479 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8357(a,1),9475(a,1,2,1))]. 9480 x * K(x,(x * y) / z) = T(x,(y * x) / z). [hyper(124,a,9476,a(flip),b,5125,a(flip))]. 9481 K(x,(y * x) / L(y,z,u)) = K(x,(x / L(y,z,u)) * y). [para(1552(a,1),9476(a,2,2))]. 9482 T(x,(y * x) / z) = T(x,(x * y) / z). [hyper(5180,a,9480,a),flip(a)]. 9484 K((x * (y * z)) / u,z) = K((x * (z * y)) / u,z). [para(96(a,1),9437(a,1,1,1,2)),flip(a)]. 9485 K((x * (K(y,z) * u)) / w,y) = K((x * u) / w,y). [para(7682(a,1),9437(a,1,1,1,2))]. 9486 K((x * (y * K(z,u))) / w,T(z,v5)) = K((x * y) / w,T(z,v5)). [para(7990(a,1),9437(a,1,1,1,2,2))]. 9487 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1642(a,1),9460(a,1,2)),flip(a)]. 9488 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1672(a,1),9460(a,1,2)),flip(a)]. 9489 ((x * (y * z)) * (u * (L(L(z \ 1,z,y),y * z,x) / u))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(393(a,2),9467(a,1,1,2,2,1))]. 9490 ((x * (y * ((x \ 1) / y))) * L(K(x \ (y \ 1),y),z,u)) * ((x * (y * ((x \ 1) / y))) \ w) = w * L(w \ ((x * (y * ((x \ 1) / y))) \ w),z,u). [para(9467(a,1),1353(a,1,1,2,1))]. 9491 T(x,x \ ((x \ y) \ 1)) = T(x,y \ 1). [hyper(285,a,5302,a,b,9472,a),flip(a)]. 9492 T(x,(x * y) \ 1) = T(x,x \ (y \ 1)). [para(14(a,1),9491(a,1,2,2,1)),flip(a)]. 9493 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,x \ (((x \ 1) * ((y * (x \ 1)) \ z)) \ 1)). [para(1081(a,1),9491(a,1,2,2,1)),flip(a)]. 9494 T(x,y \ (x \ 1)) = T(x,x \ (y \ 1)). [hyper(66,a,9133,a(flip),b,9492,a)]. 9495 T(x,x \ (((x \ 1) * y) \ 1)) = T(x,y \ 1). [hyper(66,a,6594,a(flip),b,9494,a),flip(a)]. 9496 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K((L(y,z,x) * (x * z)) / u,T(y,x * z)). [para(582(a,1),9484(a,1,1,1)),flip(a)]. 9497 R(K(x,y),z,K(y,u) * w) = K((z * w) / ((x \ z) * w),y). [hyper(66,a,8689,a(flip),b,9485,a)]. 9498 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7685(a,1),9330(a,1,2))]. 9499 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(66,a,5764,a(flip),b,9498,a),flip(a)]. 9500 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [hyper(254,a,9499,a)]. 9501 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(7540(a,1),9500(a,1,1))]. 9502 R(T(x,y),z,x) / T(T(x,y),z) = K(x * z,T(x,y)). [para(28(a,1),9384(a,1,2))]. 9503 K(x * y,T(T(y,z),x)) = K(y * x,T(y,z)). [hyper(66,a,6225,a(flip),b,9502,a)]. 9504 K(x * y,T(T(y,x),z)) = K(y * x,T(y,z)). [para(28(a,1),9503(a,1,2))]. 9505 K(x * (y / (y / z)),T(T(y / (y / z),x),z \ y)) = K((y / (y / z)) * x,z). [para(4200(a,1),9504(a,2,2))]. 9506 x * L(y * K(y * x,x),z,u) = T(x * L(y,z,u),x). [para(5785(a,2),9124(a,1,2,1,2))]. 9507 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(u * x,u),y,z). [hyper(37,a,9149,a,b,9125,a)]. 9509 L(K(x,y),z,R(y,u,w)) = K(x,y). [hyper(445,a,9153,a)]. 9510 K(x,L(y,z,R(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9509,a)]. 9511 K(T(x,R(y,z,u) * w),y) = K(T(x,w),y). [hyper(66,a,8806,a(flip),b,9510,a),flip(a)]. 9513 R(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(475,a,9167,a)]. 9514 K((x * L(y,z,u)) / w,y) = K(x / (w / L(y,z,u)),y). [hyper(66,a,7033,a(flip),b,9513,a)]. 9515 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(475,a,9173,a)]. 9516 K(x,y) * ((y * x) * R(x,z,u)) = (x * y) * R(x,z,u). [para(5146(a,1),9173(a,1,1)),flip(a)]. 9517 (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(9173(a,1),5521(a,1,1,2))]. 9518 K(x,R(y,z,R(x,u,w))) = K(x,y). [hyper(66,a,9031,a(flip),b,9515,a)]. 9519 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,9004,a(flip),b,9515,a)]. 9520 K(x,T((y * R(x,z,u)) / w,w / R(x,z,u))) = K(x,(w / R(x,z,u)) \ y). [para(706(a,1),9518(a,1,2))]. 9521 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(9519(a,1),5190(a,2,1)),flip(a)]. 9522 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. [para(9519(a,1),6512(a,1,1,1)),flip(a)]. 9523 K(x,K(y \ x,y) * (x \ z)) = K(x,(y * (x / y)) \ z). [para(5334(a,1),9224(a,1,2))]. 9524 K(x,L(x * (y \ z),x \ 1,y) \ 1) = K(x,z \ (y * (x \ 1))). [hyper(66,a,6636,a(flip),b,9225,a),flip(a)]. 9525 K(1 / x,L((1 / x) * y,z,u) \ 1) = L(K(1 / x,y \ x),z,u). [para(90(a,1),9225(a,1,1,2,2)),flip(a)]. 9526 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(445,a,9241,a)]. 9527 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = K(w,x). [para(9241(a,1),7399(a,1,1))]. 9528 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(9241(a,1),7411(a,1,1))]. 9529 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(9241(a,1),7941(a,1,2))]. 9530 K(x,T(L(y,z,L(x,u,w)) \ 1,v5)) = K(x,T(y \ 1,v5)). [hyper(66,a,8902,a(flip),b,9526,a)]. 9531 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9526,a)]. 9532 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,8805,a(flip),b,9531,a),flip(a)]. 9534 K(x,(L(x,y,z) * u) / (L(x,y,z) * (u * w))) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,8914,a(flip),b,9532,a)]. 9535 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9532(a,1,2,2)),flip(a)]. 9536 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (R(x,y,z) * w)). [hyper(6756,a,9242,a),flip(a)]. 9537 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(519,a,9242,a),flip(a)]. 9538 L(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(445,a,9242,a)]. 9539 ((x / y) * R(y,z,y)) * K(y,u) = R(y,z,y) * ((y \ x) * K(y,u)). [para(9207(a,1),9242(a,1,1))]. 9540 K(L(x,y,R(x,z,u)),w) = K(x,w). [hyper(66,a,8726,a(flip),b,9538,a)]. 9541 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(128,a,9537,a)]. 9543 T(x,y) * K(z * T(x,y),z) = T(x * K(x * z,z),y). [para(9266(a,1),9264(a,1,1)),flip(a)]. 9544 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) / (y * ((1 / x) / y)) = (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)). [para(7173(a,1),9269(a,1,2))]. 9545 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(66,a,8027,a(flip),b,9307,a),flip(a)]. 9546 T((T(x,y) \ 1) * x,y) = K(x \ 1,x) * K(y,x). [para(5307(a,1),9314(a,1,1))]. 9547 T((T(x,y) \ 1) * x,y) = (T(x,y) \ 1) * x. [hyper(285,a,5799,a(flip),b,9546,a),flip(a)]. 9548 x \ T(x * K(y \ 1,y),y) = (T(y,x) \ 1) * y. [hyper(66,a,6754,a,b,9547,a)]. 9549 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(9325(a,2),1416(a,2,1,2))]. 9550 K(x,T(y,z) \ K(z,u)) = T(K(x,y \ K(z,u)),z). [hyper(66,a,6562,a(flip),b,9331,a),flip(a)]. 9551 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(66,a,5002,a(flip),b,9348,a)]. 9552 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(16(a,1),9551(a,1,1,1,2)),flip(a)]. 9553 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). [para(6385(a,2),9388(a,2,2,2)),flip(a)]. 9554 T(x * (y \ z),K(y,z)) = T(x,K(y,z)) * (y \ z). [hyper(8227,a,9406,a)]. 9555 T(x * (y \ z),K(z,y)) = T(x,K(y,z)) * (y \ z). [hyper(7953,a,9554,a)]. 9556 T(x * (y \ z),K(z,y)) = T(x,K(z,y)) * (y \ z). [para(7940(a,1),9555(a,2,1))]. 9558 K(x,(y * T(z,x)) / u) != w | K(x,(y * z) / u) = w. [para(9436(a,2),7411(a,1))]. 9559 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,z \ (x \ u))). [hyper(285,a,7884,a(flip),b,9463,a),flip(a)]. 9560 L(x,y,z) * K(u * L(x,y,z),u) = L(x * K(x * u,u),y,z). [hyper(37,a,9149,a,b,9506,a)]. 9562 L((x * K(x * y,y)) * K(y,x),z,u) = T(y * L(x,z,u),y) / y. [para(9506(a,1),8141(a,2,1))]. 9563 K((K(x,(y / L(z,u,w)) \ 1) * L(z,u,w)) / y,z) = K((x * (1 / (y / L(z,u,w)))) / x,z). [para(5696(a,1),9514(a,2,1))]. 9564 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1614(a,2),9516(a,1,2))]. 9565 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(285,a,32,a,b,9521,a),flip(a)]. 9566 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * T(z,x)). [para(27(a,2),9523(a,1,2,2)),flip(a)]. 9567 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(7563,a,9527,a)]. 9568 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(66,a,8735,a(flip),b,9567,a)]. 9569 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(66,a,8726,a(flip),b,9567,a)]. 9570 K((L(x,y,z) \ u) \ w,x) = K(u \ (L(x,y,z) * w),x). [hyper(66,a,6663,a(flip),b,9567,a),flip(a)]. 9571 L(x,y,z) * ((L(x,y,z) \ u) * K(w,x)) = u * K(w,x). [hyper(124,a,9567,a(flip),b,104,a),flip(a)]. 9572 K((L(x,y,z) \ 1) \ u,x) = K(L(x,y,z) * u,x). [para(452(a,1),9569(a,1,1)),flip(a)]. 9573 K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). [para(4206(a,1),9569(a,1,1))]. 9575 K(x,(((x \ y) * x) * z) \ u) != w | K(x,(y * z) \ u) = w. [para(9552(a,1),8605(a,1,2,1))]. 9576 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(9552(a,1),8700(a,1,2,2))]. 9577 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(14(a,1),9576(a,1,2,2,1,1))]. 9578 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(122,a,9565,a(flip),b,5529,a),flip(a)]. 9579 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (y * R(T(x,y),z,R(x,u,w))) * x. [para(9565(a,1),9094(a,1,1,2)),flip(a)]. 9580 K((L(x,y,z) \ x) \ u,x) = K(L(x,y,z) * (x \ u),x). [para(1240(a,1),9570(a,2,1))]. 9581 T(x,L(y \ 1,x * y,z)) = T(x,(z * (x * y)) \ (x * z)). [hyper(285,a,9445,a(flip),b,9135,a),flip(a)]. 9582 T(x,L(y \ 1,x * y,z)) = T(x,L(y,x,z) \ 1). [hyper(285,a,6596,a(flip),b,9135,a),flip(a)]. 9584 T(x,L(y \ 1,x * y,z)) != u | T(x,y \ 1) = u. [para(9582(a,2),6542(a,1))]. 9586 K(T(x,y),(x \ z) \ u) = K(T(x,y),z \ (x * u)). [hyper(9250,a,6644,a)]. 9587 K(T(x,y),y \ (x * z)) = K(x,z / (x \ y)). [hyper(66,a,8088,a(flip),b,9586,a),flip(a)]. 9588 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(66,a,8014,a(flip),b,9587,a)]. 9589 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(66,a,9476,a,b,9588,a)]. 9590 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(15(a,1),9588(a,1,2,1)),flip(a)]. 9591 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(66,a,9479,a,b,9589,a)]. 9592 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(66,a,8131,a,b,9590,a)]. 9593 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(16(a,1),9592(a,1,2,2))]. 9594 K(T(x,y),z \ (x \ y)) = K(x,y / (z * x)). [hyper(66,a,8075,a,b,9593,a)]. 9595 x * K(x,y / (z * x)) = T(x,(x \ y) / z). [hyper(124,a,9593,a(flip),b,5125,a(flip))]. 9596 (x * K(y,z / (u * y))) \ x = K((y \ z) / u,y). [para(9593(a,1),7399(a,1,1,2))]. 9597 K(x,T(y \ (x \ z),z)) = K(x,z / (y * x)). [hyper(8426,a,9594,a)]. 9598 T(x,(x \ y) / z) = T(x,y / (z * x)). [hyper(5180,a,9595,a),flip(a)]. 9599 T(x,(x \ y) / z) = T(x,y / (x * z)). [hyper(285,a,8675,a(flip),b,9598,a),flip(a)]. 9600 T(x,(x * y) / (x * z)) = T(x,y / z). [para(14(a,1),9599(a,1,2,1)),flip(a)]. 9601 T(x,(x * y) / z) = T(x,y / (x \ z)). [para(15(a,1),9600(a,1,2,2))]. 9602 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(66,a,9482,a,b,9601,a)]. 9603 K((x \ y) / z,x) = K(y / (z * x),x). [hyper(7411,a,9596,a),flip(a)]. 9605 K(x * (y \ T(y * z,y)),L(K(y,y * z),z,x)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(9268(a,1),5562(a,1,1,2))]. 9606 (x * (y \ T(y * T(z,y),y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(8136(a,1),9268(a,2,1))]. 9607 T(x,R(y,x \ 1,x) \ (x * z)) = T(x,(y * (x \ 1)) \ z). [hyper(285,a,4999,a(flip),b,9303,a),flip(a)]. 9608 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(9369(a,1),7860(a,1,1)),flip(a)]. 9610 R(K(x,y),z,K(y,u) * w) = R(K(x,y),z,w). [hyper(285,a,7024,a(flip),b,9497,a),flip(a)]. 9611 R(K(x,y),z,K(x,u) * w) = (v5 * R(K(y,x),z,w)) \ v5. [para(9610(a,1),7531(a,1,1,2)),flip(a)]. 9612 R(K(x,y),z,K(x,u) * w) = R(K(x,y),z,w). [hyper(285,a,7531,a(flip),b,9611,a),flip(a)]. 9613 R(K(x,y),z,(x \ u) * x) = R(K(x,y),z,u). [para(5294(a,1),9612(a,1,3)),flip(a)]. 9614 R(K(x,y),z,u * K(w,x)) = R(K(x,y),z,u). [para(8080(a,1),9612(a,1,3)),flip(a)]. 9615 R(K(x,y),z,T((x \ u) * x,w)) = R(K(x,y),z,T(u,w)). [para(4932(a,2),9613(a,1,3))]. 9616 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = (R(K(y,w),u,z) * (u * z)) \ ((K(y,w) * u) * (z * K(x,y))). [para(9614(a,1),1191(a,1,1,1)),flip(a)]. 9617 T(x,(y * (x * z)) \ (x * y)) = T(x,z \ 1). [hyper(9584,a,9581,a),flip(a)]. 9619 T(x,((x \ y) * (x * z)) \ y) = T(x,z \ 1). [para(15(a,1),9617(a,1,2,2))]. 9620 T(x,((x \ y) * z) \ y) = T(x,(x \ z) \ 1). [para(15(a,1),9619(a,1,2,1,2))]. 9621 T(x,((x \ y) * z) \ y) = T(x,z \ x). [hyper(285,a,6592,a(flip),b,9620,a),flip(a)]. 9622 T(x,(y * z) \ (x * y)) = T(x,z \ x). [para(14(a,1),9621(a,1,2,1,1))]. 9623 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(66,a,9445,a,b,9622,a)]. 9624 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(15(a,1),9623(a,1,2,1)),flip(a)]. 9625 R(T(x,y),z,u) / R(T(T(x,w \ (v5 * x)),y),z,u) = K((v5 \ w) \ x,R(T(x,y),z,u)). [para(9624(a,1),5918(a,1,2,1,1))]. 9626 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,R(y,x \ 1,x) \ z). [para(15(a,1),9607(a,1,2,2)),flip(a)]. 9627 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(285,a,5805,a(flip),b,9062,a),flip(a)]. 9628 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(452(a,1),9627(a,1,1)),flip(a)]. 9629 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(66,a,6691,a(flip),b,9628,a),flip(a)]. 9631 K(R(x,y,z),L(u,w,x)) != v5 | K(R(x,y,z),u) = v5. [para(9063(a,2),7487(a,1))]. 9632 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(66,a,8354,a(flip),b,9136,a)]. 9633 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(66,a,7934,a(flip),b,9632,a),flip(a)]. 9634 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(66,a,8938,a,b,9284,a)]. 9635 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(285,a,417,a(flip),b,9323,a),flip(a)]. 9636 K(x,(y \ K(x,z)) \ u) = (y \ T(y * u,x)) \ u. [para(9327(a,1),7436(a,1,1)),flip(a)]. 9637 K(x,(y \ K(x,z)) \ u) = K(x,(y \ 1) \ u). [hyper(285,a,7437,a(flip),b,9636,a),flip(a)]. 9638 K(x,((y \ 1) \ K(x,z)) \ u) = K(x,y \ u). [hyper(285,a,7153,a(flip),b,9637,a),flip(a)]. 9639 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(285,a,6392,a(flip),b,9356,a),flip(a)]. 9640 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(285,a,7802,a,b,9639,a),flip(a)]. 9641 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(14(a,1),9640(a,2,2))]. 9642 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(66,a,8758,a(flip),b,9357,a)]. 9644 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9642(a,1),8428(a,1))]. 9645 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(37,a,9416,a,b,9370,a(flip))]. 9647 K(x,(y \ z) \ (x \ 1)) = K(x,z \ (x \ y)). [para(15(a,1),9645(a,1,2,1)),flip(a)]. 9648 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(9645(a,1),7399(a,1,1,2)),flip(a)]. 9649 K(x,(x * (y \ z)) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,9103,a,b,9647,a)]. 9650 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,(z \ y) \ x). [para(90(a,1),9647(a,1,2,2)),flip(a)]. 9651 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ ((x \ 1) \ u)),y,z). [para(9647(a,1),5977(a,1,1)),flip(a)]. 9652 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,(y \ z) \ (x \ 1)). [para(7304(a,1),9647(a,1,2,1)),flip(a)]. 9653 K(x,L(x * (y \ z),x \ 1,u) \ 1) = K(x,z \ (x \ y)). [hyper(66,a,7584,a,b,9649,a)]. 9654 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(285,a,7399,a(flip),b,9648,a),flip(a)]. 9655 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(15(a,1),9654(a,1,1,1)),flip(a)]. 9656 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z,y,x) \ (u \ 1),u). [para(103(a,1),9654(a,1,1,1))]. 9657 K((x * (y \ z)) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,9050,a,b,9655,a)]. 9658 1 / (x \ K(y \ (x \ z),x)) = T(x,(z \ y) \ (x \ 1)). [para(9655(a,1),5302(a,2,2,2)),flip(a)]. 9659 K(L(x * (y \ z),x \ 1,u) \ 1,x) = K(z \ (x \ y),x). [hyper(66,a,6986,a,b,9657,a)]. 9661 K(1 / x,y \ ((1 / x) \ z)) != u | K(x \ 1,(z \ y) \ x) = u. [para(9650(a,2),5766(a,1))]. 9662 T(x,(y \ z) \ (x \ 1)) = T(x,z \ (x \ y)). [hyper(5304,a,9658,a),flip(a)]. 9663 T(x,(x * (y \ z)) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,9133,a,b,9662,a)]. 9664 T(x,L(x * (y \ z),x \ 1,u) \ 1) = T(x,z \ (x \ y)). [hyper(66,a,7586,a,b,9663,a)]. 9665 K((T(x,y) * z) \ u,T(x,z)) = K((T(x,y) \ u) / z,x). [hyper(66,a,8015,a(flip),b,9401,a)]. 9666 K((T(x,y) \ z) / u,x) = K(z / (T(x,y) * u),x). [hyper(66,a,8832,a(flip),b,9665,a),flip(a)]. 9667 K((x * (y * T(z,u))) / w,T(z,v5)) = K((x * (y * z)) / w,T(z,v5)). [para(6322(a,1),9486(a,1,1,1,2))]. 9668 K(x,(y * (x / y)) \ (z * x)) = K(x,K(y \ x,y) * z). [hyper(285,a,8136,a(flip),b,9566,a),flip(a)]. 9669 K(x,x \ (y * x)) = K(x,K(z \ x,z) * y). [hyper(66,a,8866,a(flip),b,9668,a)]. 9671 K(x,K(y \ x,y) * z) = K(x,z). [hyper(66,a,5336,a(flip),b,9669,a),flip(a)]. 9673 K(x * y,K(y,x) * z) = K(x * y,z). [para(14(a,1),9671(a,1,2,1,1))]. 9674 K(x,K(y,y \ x) * z) = K(x,z). [para(5360(a,1),9671(a,1,2)),flip(a)]. 9675 K(x,(x / y) \ z) = K(x,(y \ x) \ z). [para(5737(a,1),9671(a,1,2))]. 9676 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5749(a,1),9671(a,1,2)),flip(a)]. 9677 (K(x,K(y \ z,y)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(9671(a,1),7460(a,1,1,2))]. 9678 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(9674(a,1),5146(a,1,1))]. 9679 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(9673(a,1),5150(a,1,1,2))]. 9680 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(87(a,1),9675(a,1,2,1)),flip(a)]. 9681 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(9679(a,1),6315(a,1,2)),flip(a)]. 9682 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(604(a,1),9629(a,1,2)),flip(a)]. 9683 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5775,a,9678,a)]. 9684 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4141,a,9683,a)]. 9685 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (z * T(y,z)). [para(9684(a,1),218(a,1,2,2)),flip(a)]. 9686 K(x,x \ y) * ((x \ y) * (K(y,x) * z)) = (y / T(x,y)) * L(z,K(y,x),x \ y). [para(9233(a,1),8206(a,1,2)),flip(a)]. 9688 a(x,y * K(x,z),x) != u | a(x,y,T(x,z)) = u. [para(9365(a,1),647(a,1))]. 9689 K(x / (y * z),x / z) = K(y \ (z \ x),x / z). [hyper(66,a,4413,a(flip),b,9420,a),flip(a)]. 9690 K((x * y) \ z,y \ z) = K(x \ (y \ z),z / y). [hyper(8049,a,9689,a)]. 9692 ((x \ y) \ K(z \ (x \ y),y / x)) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(9690(a,1),5649(a,1,1,2))]. 9693 (x * K(y \ (z \ u),u / z)) \ x = K(z \ u,(y * z) \ u). [para(9690(a,1),7399(a,1,1,2))]. 9694 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(7411,a,9693,a)]. 9695 R(x,y,z) * K(u * R(x,y,z),u) = R(x * K(x * u,u),y,z). [para(5785(a,2),9507(a,2,1,2))]. 9696 K(x,y \ (z * (x \ 1))) = K(x,y \ (x \ z)). [hyper(66,a,9653,a(flip),b,9524,a),flip(a)]. 9698 (x * (y * z)) \ ((x * y) * L(z * K(z * u,u),y,x)) = L(K(u * L(z,y,x),u),L(z,y,x),x * y). [para(9560(a,1),441(a,1,2,2))]. 9699 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(445,a,9158,a)]. 9700 T((R(K(x,y),z,u) \ 1) * (R(K(x,y),z,u) * (K(y,w) * v5)),R(K(x,y),z,u)) = (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))). [para(9189(a,1),2181(a,2,2))]. 9701 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6528(a,1),9209(a,1,1))]. 9702 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(5150(a,1),9294(a,1,1)),flip(a)]. 9703 R(x,y,x * K(z,x)) = R(x,y,x). [para(5150(a,1),9702(a,1,3)),flip(a)]. 9704 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(5193(a,1),9703(a,1,3))]. 9705 (x * (((y * x) / y) \ z)) / x = ((y * x) / y) \ (x * (z / x)). [hyper(66,a,8256,a(flip),b,9340,a)]. 9706 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5545(a,1),9364(a,1,2)),flip(a)]. 9707 (K(x,y) * z) * K(u,T(x,w)) = K(x,y) * (z * K(u,T(x,w))). [para(8015(a,1),9411(a,1,2,2)),flip(a)]. 9708 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(123,a,9501,a(flip),b,9419,a(flip))]. 9709 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(66,a,7541,a,b,9708,a)]. 9711 K(x \ ((y * z) * K(y,u)),T(y,w)) = K(x \ (z * T(y,u)),T(y,w)). [para(9107(a,2),9474(a,1,1,2))]. 9712 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(285,a,4161,a(flip),b,9487,a),flip(a)]. 9713 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(285,a,4160,a(flip),b,9488,a),flip(a)]. 9714 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(14(a,1),9713(a,1,1,2,1)),flip(a)]. 9715 K(1 / x,L((1 / x) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(285,a,5978,a(flip),b,9525,a),flip(a)]. 9716 L(T(x * y,x) / x,z,u) = T(x * L(y,z,u),x) / x. [para(9302(a,1),9562(a,1,1))]. 9717 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(14(a,1),9641(a,1,2))]. 9718 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(66,a,8892,a(flip),b,9717,a)]. 9720 K(x,(y / (y / z)) \ (x \ ((z \ y) * z))) = K(x,z \ (x \ y)). [hyper(285,a,9647,a(flip),b,9652,a),flip(a)]. 9721 K((x * (T(y,z) * u)) / w,T(y,z)) = K((x * (u * y)) / w,T(y,z)). [hyper(66,a,9484,a(flip),b,9667,a)]. 9722 K(x \ (y * T(z,u)),T(z,w)) = K(x \ (z * y),T(z,w)). [hyper(66,a,9428,a(flip),b,9711,a),flip(a)]. 9724 K(x \ (y * z),T(y,z)) = K((z * T(y,u)) / x,y). [hyper(66,a,8857,a(flip),b,9722,a),flip(a)]. 9727 K(1 / x,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,7264,a(flip),b,9715,a)]. 9728 K(x \ 1,L((x \ 1) * y,z,u) \ 1) = K(L(x,z,u) \ 1,y \ x). [hyper(5766,a,9727,a)]. 9729 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(4586(a,1),9361(a,1,2))]. 9730 (x * (R(x,y,x) \ z)) / x = z / R(x,y,x). [hyper(135,a,9729,a)]. 9731 T(x,x * (y / R(x,z,x))) = T(x,x * (R(x,z,x) \ y)). [para(9729(a,1),4182(a,1,2)),flip(a)]. 9732 (x * (x * (R(x,y,x) \ z))) / x = (x * z) / R(x,y,x). [para(1152(a,1),9730(a,1,1,2))]. 9733 (x * (x * (R(x,y,x) \ z))) / x = T(x,z) * (R(x,y,x) \ z). [hyper(285,a,9373,a,b,9732,a),flip(a)]. 9734 T(x,x * (R(x,y,x) \ z)) = T(x,z). [hyper(4011,a,9733,a)]. 9735 T(x,x * (y / R(x,z,x))) = T(x,y). [hyper(66,a,9731,a,b,9734,a)]. 9737 T(x,y * R(x,z,x)) = T(x,x * y). [para(16(a,1),9735(a,1,2,2)),flip(a)]. 9738 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(285,a,5130,a(flip),b,9737,a),flip(a)]. 9739 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(5207,a,9738,a)]. 9740 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(66,a,8222,a,b,9739,a)]. 9741 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(9142,a,9740,a)]. 9743 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(9448(a,1),5473(a,1))]. 9744 R(K(x,y / (z / u)),y,u) = K(x,((K(x,w) * y) * u) / z). [hyper(66,a,8996,a(flip),b,9478,a)]. 9746 K(x,((K(x,y) * z) * u) / w) = K(x,(z * u) / w). [hyper(66,a,6102,a(flip),b,9744,a),flip(a)]. 9747 K(x,(((y / x) \ z) * u) / w) = K(x,(((x \ y) \ z) * u) / w). [para(5854(a,1),9746(a,1,2,1,1)),flip(a)]. 9748 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ (((y / x) \ 1) * y)). [hyper(7842,a,9747,a),flip(a)]. 9749 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(285,a,7882,a(flip),b,9608,a),flip(a)]. 9750 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(66,a,7884,a,b,9749,a)]. 9751 K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [para(7681(a,2),7713(a,1,2,1))]. 9752 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = z * K(x,T(y,z)). [para(6627(a,1),7843(a,2,2))]. 9753 (x * (y / x)) \ ((T(x,y) * (y / x)) * z) = K(x,y) * z. [hyper(285,a,7682,a(flip),b,9752,a),flip(a)]. 9754 K(x,T(y * x,x \ 1) \ (x * z)) = K(x,(((x \ 1) \ y) * (x \ 1)) \ z). [hyper(66,a,9104,a(flip),b,8164,a)]. 9755 (((x * y) / x) \ (y * (z / y))) \ 1 = (((x * y) / x) \ z) \ K(y \ z,y). [para(9705(a,1),8260(a,2,1)),flip(a)]. 9757 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(((x * y) \ (z * y)) \ 1,x). [hyper(285,a,5816,a(flip),b,8371,a),flip(a)]. 9758 K(((x * y) \ (z * y)) \ 1,T(x,z)) = K(z \ x,((x * y) \ y) \ 1). [hyper(285,a,6840,a(flip),b,9757,a),flip(a)]. 9759 K((x * y) \ (z * y),T(z,x)) = K(x \ z,((z * y) \ y) \ 1). [hyper(66,a,6468,a(flip),b,9758,a)]. 9760 K((x * y) \ (z * y),T(z,x)) = K(x \ z,y \ (z * y)). [hyper(285,a,6392,a(flip),b,9759,a),flip(a)]. 9761 K((x * y) \ (z * y),T(z,x)) = K(x \ z,T(z,y)). [para(27(a,2),9760(a,2,2))]. 9762 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ T(K(x \ 1,y),z)) * x. [para(3339(a,1),8418(a,2,1,2,1))]. 9763 K(x,K(y,z)) * (L(K(u,x),w,v5) * K(x,K(y,z))) = L(K(x,u),w,v5) \ 1. [para(6126(a,1),8446(a,1,2))]. 9764 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(7539,a,8638,a),flip(a)]. 9767 (K(x,y) / x) * T(x * K(y,x),T(x * z,u)) = K(x,T(T((x * K(y,x)) * z,u),y)). [para(8755(a,1),8105(a,1,2))]. 9768 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [hyper(285,a,8780,a(flip),b,8783,a),flip(a)]. 9769 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(90(a,1),9768(a,1,2,1,1)),flip(a)]. 9770 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(118(a,1),9768(a,1,2)),flip(a)]. 9771 K(x,T((y * K(z,u)) \ 1,w)) = K(x,T(K(u,z) / y,w)). [para(7399(a,1),9768(a,1,2,1,1)),flip(a)]. 9772 K(x,y \ ((z \ u) \ y)) = K(x,T(u \ z,y)). [hyper(66,a,8906,a(flip),b,9770,a),flip(a)]. 9773 x * K(y,x \ (z \ x)) = K(y,z \ 1) * x. [para(9770(a,1),7682(a,1,2))]. 9774 K(x,y \ ((z / u) \ y)) = K(x,T(u / z,y)). [hyper(66,a,9770,a(flip),b,9769,a)]. 9775 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,y \ (x \ y)). [hyper(285,a,5699,a,b,9773,a)]. 9776 K(x,(y / z) \ 1) * y = y * K(x,y \ z). [para(90(a,1),9773(a,1,2,2,2)),flip(a)]. 9777 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(38,a,8120,a,b,9776,a),flip(a)]. 9780 K(x,T(T(y * K(z,u),w) \ 1,v5)) = T(K(x,T(K(u,z) / y,v5)),w). [para(9771(a,1),8712(a,2,1))]. 9781 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(6564,a,9775,a)]. 9782 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(9781(a,1),8052(a,1,1,2))]. 9783 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8054,a,9782,a),flip(a)]. 9784 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * T(y,x))). [para(4105(a,1),8835(a,1,1))]. 9785 K(T(x,y),((T(x,y) \ 1) * y) \ z) = K(x,z / ((x \ 1) * y)). [hyper(285,a,8701,a(flip),b,9784,a),flip(a)]. 9786 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u * (x / y))). [hyper(8547,a,8976,a)]. 9787 R(T(x,x \ y),z,T((x \ y) \ y,u)) = R(T(x,x \ y),z,x). [hyper(285,a,9261,a(flip),b,9255,a),flip(a)]. 9789 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5973(a,1),9345(a,1,1,2))]. 9790 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9789(a,2),7531(a,1,1))]. 9791 K(T(x,y),z \ (T(x,u) * (x \ w))) = K(T(x,y),z \ w). [hyper(285,a,5724,a(flip),b,9377,a),flip(a)]. 9792 K(T(x,y),z \ (T(x,u) \ w)) = K(T(x,y),z \ (x \ w)). [para(994(a,1),9791(a,1,2,2)),flip(a)]. 9793 K(T(x,y),z \ (u * K(x,w))) = K(T(x,y),z \ u). [para(8051(a,1),9791(a,1,2,2))]. 9794 K(T(x,y),z \ (u * (T(x,w) \ 1))) = K(T(x,y),z \ (u * (x \ 1))). [para(7395(a,1),9793(a,1,2,2)),flip(a)]. 9795 K(T(x,y),z \ (y * (T(x,u) \ 1))) = K(x,(y * (x \ 1)) / z). [hyper(285,a,8831,a(flip),b,9794,a),flip(a)]. 9796 K(T(x,y),z \ (T(x,y) \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9696,a(flip),b,9795,a)]. 9797 K(T(x,y),z \ (x \ y)) = K(x,(y * (x \ 1)) / z). [hyper(66,a,9792,a(flip),b,9796,a)]. 9799 K(x,(y * (x \ 1)) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,9797,a),flip(a)]. 9800 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,(y * x) / z). [hyper(66,a,7206,a(flip),b,9799,a),flip(a)]. 9801 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,(y * x) / (z * x)). [para(355(a,1),9800(a,1,2,2))]. 9802 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(14(a,1),9712(a,1,1,2,1))]. 9803 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(14(a,1),9714(a,1,1,2,1)),flip(a)]. 9804 (((x * y) / x) \ z) \ K(y \ z,y) = (T(y,x) * (y \ (z / y))) \ 1. [para(4292(a,1),9755(a,1,1)),flip(a)]. 9805 (((x * y) / x) \ z) \ K(y \ z,y) = (K(y,x) * (z / y)) \ 1. [para(5153(a,1),9804(a,2,1))]. 9806 (1 / x) \ T(T(T(1 / x,y),K(y,z)),x) = (x \ K(T(x,z) \ 1,y)) * x. [para(6080(a,2),9762(a,2,1,2))]. 9807 (1 / x) \ T(T(x \ 1,y),K(y,z)) = (x \ K(T(x,z) \ 1,y)) * x. [para(421(a,1),9806(a,1,2))]. 9809 (x \ K(T(x,y) \ 1,z)) * x != u | T(T(x \ 1,z),K(z,y)) * x = u. [para(9807(a,1),6790(a,1))]. 9810 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = (x \ T(y,z)) * x. [para(4154(a,1),7668(a,2,1,2))]. 9811 T((x \ L(y,y \ z,y)) * x,T(z,y) / y) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,9810,a),flip(a)]. 9812 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(66,a,7741,a(flip),b,7739,a)]. 9813 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(66,a,9699,a(flip),b,9812,a),flip(a)]. 9815 K((L(x,y,z) * u) / w,T(x,u)) = K(w \ (L(x,y,z) * u),x). [hyper(66,a,7694,a(flip),b,9813,a),flip(a)]. 9816 K(L(x,y,z) * u,T(x,u)) = K(L(x,y,z) * u,x). [hyper(66,a,5319,a(flip),b,9813,a),flip(a)]. 9817 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),9813(a,1,2,2)),flip(a)]. 9818 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (z * K(x,T(y,z))). [para(9813(a,1),7707(a,1,2,2)),flip(a)]. 9819 K(x,T(y,L(y,z,u) \ 1)) = K(x,y). [para(186(a,1),9817(a,2,2))]. 9820 K(T(L(x,y,z) * u,u),x) = K(L(x,y,z) * u,x). [hyper(7823,a,9816,a)]. 9821 K(x,y) * K(L(x,z,u) * y,x) = L(x,y,L(x,z,u)) \ x. [para(9820(a,1),8849(a,1,2))]. 9822 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,8271,a),flip(a)]. 9823 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(66,a,7832,a(flip),b,8272,a)]. 9825 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9823,a),flip(a)]. 9826 R(T(x,y),T(z,x),R(T(x,y),u,w)) = R(T(x,y),z,R(T(x,y),u,w)). [para(8283(a,1),9825(a,1,2))]. 9827 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(285,a,5805,a(flip),b,8296,a),flip(a)]. 9828 K(K(x,y) * z,R(y,u,w)) = K(z,R(y,u,w)). [para(5360(a,1),9827(a,1,1)),flip(a)]. 9829 K(K(x,y) * z,R(x,u,w)) = K(z,R(x,u,w)). [para(5360(a,1),9828(a,1,1)),flip(a)]. 9830 K(R(K(x,y),z,u) * w,R(y,v5,v6)) = K(w,R(y,v5,v6)). [para(5973(a,1),9828(a,1,1,1))]. 9831 (K(x,y) * z) * K(z,R(x,u,w)) = T(K(x,y) * z,R(x,u,w)). [hyper(124,a,9829,a(flip),b,5125,a(flip))]. 9832 T(K(x,y) * z,R(x,u,w)) = K(x,y) * T(z,R(x,u,w)). [hyper(6375,a,9831,a),flip(a)]. 9833 T(K(x,y) * (K(x,y) \ z),R(x,u,w)) \ z = K(R(x,u,w),K(x,y) \ z). [para(9832(a,2),7436(a,1,1))]. 9834 K(R(x,y,z),K(x,u) \ w) = T(w,R(x,y,z)) \ w. [para(15(a,1),9833(a,1,1,1)),flip(a)]. 9835 K(R(x,y,z),K(x,u) \ w) = K(R(x,y,z),w). [hyper(285,a,5119,a,b,9834,a),flip(a)]. 9836 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(8006(a,1),9835(a,1,2))]. 9837 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [para(7392(a,1),9836(a,1,2)),flip(a)]. 9838 (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(9837(a,1),8648(a,1,1,2))]. 9839 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7943(a,1),8388(a,1,1,3))]. 9840 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5334(a,1),9839(a,2,2))]. 9841 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(x,u,w),z * K(y * z,z)). [para(5599(a,1),8519(a,1,2)),flip(a)]. 9842 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(T(R(x,u,w),y * z),z). [hyper(285,a,8028,a(flip),b,9841,a),flip(a)]. 9843 K(R(T(x,T(y,z)),u,w),R(z,y,z)) = K(R(T(x,y * z),u,w),z). [para(32(a,2),9842(a,2,1))]. 9844 K(R(T(x,T(y,z)),u,w),z) = K(R(T(x,y * z),u,w),z). [hyper(9082,a,9843,a)]. 9846 K(R(T(x,y * z),u,w),z) = K(R(T(x,y),u,w),z). [hyper(66,a,8550,a(flip),b,9844,a),flip(a)]. 9847 K(R(T(x,y * z),u,w),y) = K(R(T(x,z),u,w),y). [hyper(66,a,8746,a(flip),b,9846,a)]. 9848 K((x * y) \ ((x * z) * y),x) = K(R(T(z,y),x,y),x). [hyper(66,a,5329,a,b,9847,a)]. 9850 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,9031,a(flip),b,8697,a),flip(a)]. 9852 K(x,R(y,K(z,x) * u,w)) = K(x,R(y,u,w)). [hyper(66,a,8696,a(flip),b,9850,a)]. 9854 K(x,R(y,K(x,z) * u,w)) = K(x,R(y,u,w)). [para(5360(a,1),9852(a,1,2,2)),flip(a)]. 9855 K(R(x,K(y,z) * u,w),z) = (v5 * K(z,R(x,u,w))) \ v5. [para(9852(a,1),7399(a,1,1,2)),flip(a)]. 9856 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * ((K(x,z) * u) \ 1)). [para(545(a,1),9854(a,1,2)),flip(a)]. 9857 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(285,a,7399,a(flip),b,9855,a),flip(a)]. 9858 K(R(x,T(y,z),u),y) = K(R(x,y,u),y). [para(5143(a,1),9857(a,1,1,2)),flip(a)]. 9859 K(R(x,T(y,z),u),T(y,w)) = T(y,w) \ T(y * K(R(x,y,u),y),w). [para(9858(a,1),5722(a,1,2,1,2)),flip(a)]. 9860 K(R(x,T(y,z),u),T(y,w)) = K(R(x,y,u),T(y,w)). [hyper(285,a,5722,a(flip),b,9859,a),flip(a)]. 9862 K(x,((x \ 1) * (y * z)) / ((x \ 1) * z)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8010,a(flip),b,8834,a),flip(a)]. 9864 T((x * y) \ T(x * y,z),x) = R(K((y \ 1) \ x,z),x,y). [para(6570(a,1),8871(a,1,1,2))]. 9865 R(K((x \ 1) \ y,z),y,x) = T(K(y * x,z),y). [para(5125(a,2),9864(a,1,1)),flip(a)]. 9866 R(K(x \ y,z),y,x \ 1) = T(K(y * (x \ 1),z),y). [para(6691(a,1),9865(a,1,1))]. 9867 R(K(x \ L(y,z,u),y),L(y,z,u),x \ 1) = K(L(y,z,u) * (x \ 1),y). [hyper(285,a,3246,a(flip),b,9866,a),flip(a)]. 9868 L(T(K(x,y),z),T(z,K(x,u)),K(x,u)) = T(K(x,y),z * K(x,u)). [hyper(285,a,6081,a(flip),b,8916,a),flip(a)]. 9869 T(K(x,y),z * K(x,u)) = T(K(x,y),z). [hyper(66,a,9195,a(flip),b,9868,a),flip(a)]. 9871 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(6322(a,1),9869(a,1,2))]. 9872 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(7392(a,1),9869(a,1,2)),flip(a)]. 9873 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(7702(a,1),9869(a,1,2)),flip(a)]. 9874 T(K(x,y),(x \ z) * x) = T(K(x,y),z). [para(271(a,1),9872(a,1,2))]. 9875 T(K(x,y),z * L(K(u,x),w,v5)) = T(K(x,y),z). [para(5981(a,1),9872(a,1,2,2))]. 9876 T(K(x,y),x \ z) = T(K(x,y),z). [hyper(66,a,8392,a(flip),b,9874,a)]. 9877 T(K(x,y \ (x \ z)),z) = T(K(x,y \ (x \ z)),y). [hyper(66,a,8065,a(flip),b,9876,a),flip(a)]. 9878 T(K(x,y),x) != z | K(x,y) = z. [para(9876(a,1),192(a,1))]. 9879 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(9876(a,1),8360(a,1,1))]. 9881 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2746(a,1),9878(a,1))]. 9884 K(((x \ 1) \ y) / y,z) != u | K(x,z) = u. [para(5836(a,2),9881(a,1))]. 9885 K(T(T(x,y),x \ 1),z) != u | K(T(x,y),z) = u. [para(7674(a,2),9881(a,1,1))]. 9887 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(285,a,8393,a(flip),b,9871,a),flip(a)]. 9888 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(9887(a,1),7324(a,1,2)),flip(a)]. 9889 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(285,a,5344,a(flip),b,9888,a),flip(a)]. 9890 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [hyper(124,a,9889,a(flip),b,27,a(flip))]. 9891 T(K(x,y),z * (u * K(w,x))) = T(K(x,y),z * u). [para(103(a,1),9875(a,1,2))]. 9893 T(K(x,L(x \ y,x,z)),z) = T(K(x,z \ (x \ (z * y))),z * y). [para(9453(a,2),9877(a,2,1)),flip(a)]. 9894 (x * y) / (x * (y * K(z,u))) = L(T(K(u,z),x * y),y,x). [para(9891(a,1),8495(a,1,1)),flip(a)]. 9895 (x * y) / (x * (y * K(z,u))) = L(K(u,T(z,x * y)),y,x). [para(7681(a,2),9894(a,2,1))]. 9897 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7756(a,1),9895(a,1,2,2)),flip(a)]. 9898 L(K(x,T(x * y,z * y)),y,z) = (z * y) / (z * (x \ T(x * y,x))). [para(9122(a,2),9895(a,1,2,2)),flip(a)]. 9899 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(7493,a,9890,a),flip(a)]. 9900 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5518(a,2),9899(a,1,2))]. 9901 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(66,a,8868,a(flip),b,9900,a)]. 9902 T(K(x,y \ (x \ (y * z))),y * z) = K(x,L(T(x \ z,y),x,y)). [hyper(66,a,7705,a,b,9893,a),flip(a)]. 9903 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(8930,a,9897,a)]. 9904 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(285,a,6259,a,b,9903,a),flip(a)]. 9905 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(66,a,6219,a(flip),b,9904,a),flip(a)]. 9906 K(x,T(y \ (x \ (y * z)),y * z)) = K(x,L(T(x \ z,y),x,y)). [hyper(8428,a,9902,a)]. 9907 K(x,L(T(x \ y,z),x,z)) = K(x,(z * y) / (z * x)). [hyper(66,a,9597,a(flip),b,9906,a),flip(a)]. 9908 T(R(K(x,T(y,z)),z,u) \ 1,z * u) = K(y,((z / x) * u) \ (z * u)). [hyper(285,a,5320,a(flip),b,8927,a),flip(a)]. 9909 T(R(K(T(x,y),z),y,u) * 1,y * u) = K(x,((y / z) * u) \ (y * u)). [para(6133(a,1),9908(a,1,1))]. 9910 T(R(K(x,T(y,z)),z,u) * 1,z * u) = K(x,((z / y) * u) \ (z * u)). [para(7761(a,1),9909(a,1,1,1,1))]. 9911 T(R(K(x,T(y,z)),z,u),z * u) = K(x,((z / y) * u) \ (z * u)). [para(13(a,1),9910(a,1,1))]. 9912 R(T(K(x,T(y,z)),z * u),z,u) = K(x,((z / y) * u) \ (z * u)). [hyper(66,a,32,a,b,9911,a)]. 9913 K(x,((y / z) * u) \ (y * u)) = (y * u) \ ((y * K(x,z)) * u). [hyper(66,a,8053,a(flip),b,9912,a),flip(a)]. 9914 R(K(x,T(T(y,z),z * u)),z,u) = K(x,((z / y) * u) \ (z * u)). [para(7681(a,2),9912(a,1,1))]. 9915 K(((x / y) * z) \ (x * z),u) = K(y,((x / u) * z) \ (x * z)). [hyper(66,a,8786,a(flip),b,9914,a)]. 9916 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [hyper(285,a,9913,a(flip),b,9915,a),flip(a)]. 9917 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(8216(a,1),8935(a,1,1,2))]. 9918 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(66,a,5720,a(flip),b,9917,a),flip(a)]. 9920 ((x \ y) \ y) \ R((x \ y) \ y,K(x,z) * u,R(x,w,v5)) = x \ (y \ ((R(x,u,R(x,w,v5)) * (x \ y)) * x)). [para(9918(a,1),6960(a,2,2,2,1,1))]. 9921 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(285,a,153,a(flip),b,8944,a),flip(a)]. 9922 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(285,a,5169,a,b,9921,a),flip(a)]. 9924 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(285,a,7881,a,b,9922,a),flip(a)]. 9925 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(66,a,5803,a(flip),b,9350,a),flip(a)]. 9926 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = R(T(x,z),y,x) * T(y,x). [hyper(285,a,4131,a(flip),b,9390,a),flip(a)]. 9927 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),T(z,y),x). [para(116(a,1),9606(a,1,1,2,2,1))]. 9928 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = L(K(y,y * z),z,x). [hyper(285,a,8725,a(flip),b,9927,a),flip(a)]. 9929 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,z / ((y \ 1) * z)). [hyper(285,a,7995,a(flip),b,7737,a),flip(a)]. 9930 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,(y \ 1) \ 1). [hyper(285,a,5704,a(flip),b,9929,a),flip(a)]. 9932 K(x,T(((y \ 1) * z) \ z,T((y \ 1) * z,y))) = K(x,y). [hyper(285,a,4596,a(flip),b,9930,a),flip(a)]. 9933 K(x,T((y \ 1) * z,y) \ z) = K(x,y). [para(4318(a,1),9932(a,1,2))]. 9934 T((x \ 1) \ 1,y) * K(z,x) = (T(x,y) \ 1) \ K(z,x). [hyper(124,a,14,a(flip),b,7850,a)]. 9935 T((x \ 1) \ 1,y) / ((T(x,y) \ 1) \ K(z,x)) = K(x,z). [para(9934(a,1),6879(a,1,2))]. 9936 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(7990(a,1),8033(a,1,2,2,1))]. 9938 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(z * ((y * x) / y),u),y)). [hyper(66,a,8015,a(flip),b,8096,a)]. 9939 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(125,a,8471,a),flip(a)]. 9940 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4830(a,1),9939(a,1,1)),flip(a)]. 9941 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,6194,a,b,9940,a)]. 9942 K(x,R(x,y,z) \ (R(x,y,z) * (R(T(x,u),y,z) * w))) = K(x,R(x,y,z) * w). [para(32(a,2),8545(a,1,2,2,2,1))]. 9943 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(285,a,5804,a(flip),b,8586,a),flip(a)]. 9944 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(285,a,8602,a(flip),b,8603,a),flip(a)]. 9946 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(87(a,1),9944(a,1,1,2,1,2,1))]. 9948 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8713,a(flip),b,9946,a)]. 9949 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(66,a,8251,a(flip),b,9948,a)]. 9950 K(x,T(T(y,y \ 1) * z,u)) = K(x,T(y * z,u)). [hyper(285,a,8523,a(flip),b,8762,a),flip(a)]. 9951 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(597(a,1),9950(a,1,2,1,1)),flip(a)]. 9952 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(5076(a,1),9951(a,1,2,1)),flip(a)]. 9953 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7681(a,2),9952(a,2,2))]. 9955 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(285,a,8780,a(flip),b,8785,a),flip(a)]. 9956 K(x,T(y * T(z,x),u)) = K(x,T(y * z,u)). [para(5130(a,2),9955(a,1,2,1,2))]. 9957 K(x,T(y * (z * K(u,T(x,w))),v5)) = K(x,T(y * z,v5)). [para(7687(a,1),9955(a,1,2,1,2,2))]. 9958 K(x,T(y * (x * K(z,T(x,y))),u)) = K(x,T((x * K(z,x)) * y,u)). [para(8650(a,1),9956(a,1,2,1))]. 9959 K(x,T((x * K(y,x)) * z,u)) = K(x,T(z * x,u)). [hyper(66,a,9957,a(flip),b,9958,a),flip(a)]. 9961 K(x,T((y / (y / x)) * z,u)) = K(x,T(z * x,u)). [para(5073(a,2),9959(a,1,2,1,1))]. 9962 K(x,T((y / (y / x)) * (z \ 1),u)) = K(x,T(z \ x,u)). [hyper(285,a,8752,a(flip),b,9961,a),flip(a)]. 9963 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [hyper(66,a,8906,a(flip),b,8909,a),flip(a)]. 9964 K(x,T(y,T(z \ (x * u),x) \ x)) = K(T(x * K(u \ z,x),x),y). [para(8199(a,1),9148(a,1,1,1,2)),flip(a)]. 9965 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x * K(u \ z,x),y). [para(1770(a,1),9964(a,2,1))]. 9966 K(x,T(y,T(z \ (x * u),x) \ x)) = K(x,T(y,u \ z)). [hyper(285,a,8027,a(flip),b,9965,a),flip(a)]. 9967 K(x \ y,x) * ((z / (x \ y)) * (x \ y)) = T(z / (y / x),K(y,x)) * (x \ y). [para(7940(a,1),9215(a,2,1))]. 9968 K(x,T(y \ (z * x),u)) = K(x,T(y \ (x * z),u)). [hyper(8781,a,9308,a),flip(a)]. 9969 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),w)) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),w)). [para(280(a,2),9968(a,1,2,1,2)),flip(a)]. 9970 K(x * (y \ 1),T(y \ 1,z)) = K(y \ x,T(y \ 1,z)). [hyper(6059,a,9380,a),flip(a)]. 9971 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6121,a,9970,a)]. 9972 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(285,a,8906,a(flip),b,9971,a),flip(a)]. 9973 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(66,a,8906,a(flip),b,9972,a)]. 9974 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(66,a,9963,a(flip),b,9973,a)]. 9975 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(285,a,8038,a(flip),b,9974,a),flip(a)]. 9976 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(66,a,8038,a(flip),b,9975,a)]. 9977 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(66,a,8552,a,b,9976,a)]. 9978 K(x,T((K(x,y) * z) / u,w)) = K(x,T(z / u,w)). [hyper(285,a,8780,a(flip),b,9433,a),flip(a)]. 9979 K(x,T((y * K(z,x)) / u,w)) = K(x,T(y / u,w)). [para(8080(a,1),9978(a,1,2,1,1)),flip(a)]. 9980 K(x * (y / (y / z)),T(z,x)) = K((y / (y / z)) * x,z). [para(4202(a,1),9505(a,1,2))]. 9981 K(x * (y / (y / z)),T(z,x)) = K(z * x,z). [hyper(285,a,8264,a(flip),b,9980,a),flip(a)]. 9984 K(x * (y / (y / z)),T(z,x)) = K(x * z,z). [hyper(285,a,5785,a,b,9981,a),flip(a)]. 9985 K(x,y) * ((y * R(x,z,R(x,u,w))) * x) = (R(x,z,R(x,u,w)) * y) * x. [para(223(a,1),9579(a,2,1))]. 9986 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(66,a,9564,a(flip),b,9985,a),flip(a)]. 9987 (K(x,K(y,y \ z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7908(a,1),9677(a,1,1,1))]. 9988 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [para(7682(a,1),9818(a,2,2))]. 9989 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(9567(a,1),9988(a,1,1)),flip(a)]. 9990 L(x,y,z) * (K(u,x) * (L(x,y,z) \ w)) = K(u,x) * w. [hyper(285,a,152,a(flip),b,9989,a),flip(a)]. 9991 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(5361(a,1),9989(a,1,2)),flip(a)]. 9993 (K(x,y) \ ((K(x,y) * z) / L(y,u,w))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9990(a,1),1320(a,1,1,2,1))]. 9994 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(66,a,9529,a(flip),b,9991,a)]. 9995 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(7953,a,9994,a)]. 9996 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(285,a,7914,a,b,9995,a)]. 9997 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(37,a,7862,a,b,9996,a)]. 9998 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(285,a,7881,a,b,9997,a),flip(a)]. 9999 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(14(a,1),9942(a,1,2))]. 10001 T(x / (y / z),K(y,z)) * (z \ y) = K(z \ y,z) * x. [para(17(a,1),9967(a,1,2)),flip(a)]. 10002 T((x / (y / z)) * (z \ y),K(y,z)) = K(z \ y,z) * x. [hyper(66,a,9556,a,b,10001,a)]. 10004 T(x * K(y \ z,y),K(z,y)) = K(y \ z,y) * x. [para(6537(a,1),10002(a,1,1))]. 10005 (K(x,K(y,z)) * K(z,x)) \ (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [para(7936(a,1),9987(a,1,1,1))]. 10006 K(x,T(y,z)) \ (y * K(z \ x,z)) = T(K(z \ x,z) * y,x). [para(7900(a,1),10005(a,1,1))]. 10007 K(T(x,y),z) * (x * K(y \ z,y)) = T(K(y \ z,y) * x,z). [hyper(5464,a,10006,a)]. 10008 K(x,T(y,z)) * (x * K(z \ y,z)) = T(K(z \ y,z) * x,y). [para(7761(a,1),10007(a,1,1))]. 10009 T(x,T(y,z)) * K(z \ y,z) = T(K(z \ y,z) * x,y). [hyper(5666,a,10008,a)]. 10010 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(66,a,8964,a(flip),b,10009,a),flip(a)]. 10011 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(5322(a,1),10010(a,2,1))]. 10012 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(5322(a,1),10011(a,1,1,1))]. 10013 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6270,a,10012,a),flip(a)]. 10014 (x * (y * z)) \ ((y * z) * T(x * K(z,y),y * z)) = L(K(z,y),T(x,y * z),y * z). [para(10013(a,2),215(a,1,2,2))]. 10015 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. [para(7761(a,1),8055(a,2,1,2))]. 10016 R(K(x,T(y / (z / u),w)),y,u) = K(x,T((y * u) / z,w)). [para(17(a,1),8623(a,1,2))]. 10017 R(K(x,T((y * K(z,x)) / (u / w),v5)),y,w) = K(x,T(((y * K(z,x)) * w) / u,v5)). [hyper(66,a,9000,a(flip),b,10016,a)]. 10018 K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). [para(32(a,2),8723(a,1,1,2))]. 10019 T((x / L(y,x,y)) * y,z) = T(y * T(y \ (y * x),z),y) / y. [para(5817(a,1),8769(a,1,1)),flip(a)]. 10020 T((x / L(y,x,y)) * y,z) = T(y * T(x,z),y) / y. [para(14(a,1),10019(a,2,1,1,2,1))]. 10021 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [para(8768(a,1),10020(a,1,1)),flip(a)]. 10022 K(x,L(x \ (y \ z),x,z / (z / y))) = K(x,y \ (x \ z)). [hyper(285,a,9720,a(flip),b,9458,a),flip(a)]. 10023 (x / T(y,x)) * L(z,K(x,y),y \ x) = (x / y) * (K(x,y) * z). [hyper(5905,a,9686,a),flip(a)]. 10024 (T(x,y) / y) \ ((x / y) * (K(x,y) * z)) = L(z,K(x,y),y \ x). [para(10023(a,1),4174(a,1,2))]. 10026 L(x,K(y,z),z \ y) != u | L(x,K(y,z),y / z) = u. [para(10024(a,1),7479(a,1))]. 10027 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(8880(a,1),10015(a,2,1))]. 10028 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(285,a,9840,a(flip),b,10027,a),flip(a)]. 10029 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7761(a,1),10028(a,1,1,2))]. 10030 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(7997(a,1),10029(a,1,2))]. 10031 (K(x,T(y,z)) * a(K(x,u),w,v5)) * (z * K(y,x)) = (a(K(x,u),w,v5) * K(x,y)) * (K(y,x) * z). [para(8815(a,2),10030(a,1,1))]. 10032 R(K(x,T(y / (z / u),w)),y,u) = K(x,T(((y * K(v5,x)) * u) / z,w)). [para(9979(a,1),10017(a,1,1))]. 10033 K(x,T(((y * K(z,x)) * u) / w,v5)) = K(x,T((y * u) / w,v5)). [hyper(66,a,10016,a(flip),b,10032,a),flip(a)]. 10035 K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). [para(7940(a,1),10018(a,1,2))]. 10036 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(3207(a,1),10035(a,1,2))]. 10038 T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). [para(10036(a,1),5720(a,1,1,2))]. 10039 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5595(a,1),10038(a,1,1))]. 10040 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(66,a,6925,a(flip),b,10039,a),flip(a)]. 10041 T((x * (y * K(T(z,u),y))) / x,u) = K(z,y * K(x,y)) * T(y * K(x,y),u). [para(8782(a,1),8341(a,1,1))]. 10042 K(x,y * K(z,y)) * T(y * K(z,y),u) = (z * (K(x,y) * T(y,u))) / z. [hyper(66,a,8339,a(flip),b,10041,a),flip(a)]. 10043 K(T(x,y),z) * T(z * K(y,z),u) = (y * (K(x,z) * T(z,u))) / y. [para(8028(a,1),10042(a,1,1))]. 10044 K(T(x,y),z) * T((y * z) / y,u) = (y * (K(x,z) * T(z,u))) / y. [para(5149(a,2),10043(a,1,2,1))]. 10045 (x * (T(y,z) * K(u,T(y,T(u,w))))) / x = K(T(u,x),y) * T((x * y) / x,z). [para(7718(a,2),10044(a,2,1,2)),flip(a)]. 10046 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,T(z,x))). [hyper(285,a,5794,a(flip),b,10045,a),flip(a)]. 10047 (x * (T(y,T(z,x)) * K(z,T(y,T(z,u))))) / x = y * K(x,T(y,z)). [para(8407(a,1),10046(a,2,2))]. 10048 (x * (T(y,T(z,x)) * K(z,y))) / x = y * K(x,T(y,z)). [para(7700(a,1),10047(a,1,1,2,2))]. 10049 (T(x,y) * T(y,T(x,z))) / x = y * K(x,T(y,z)). [para(8771(a,1),10048(a,1,1))]. 10050 T(x,y) * T(y,T(x,z)) = y * T(x,T(y,z)). [hyper(6333,a,10049,a),flip(a)]. 10051 x * T(y * K(x,y),T(x,z)) = y * T(x,T(y,z)). [hyper(66,a,7835,a,b,10050,a)]. 10052 T(x * K(y,T(x,z)),y) = T(x * K(y,x),T(y,z)). [hyper(224,a,6311,a,b,10051,a)]. 10053 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(z / y,x),y \ z). [para(7994(a,1),10052(a,1,1,2)),flip(a)]. 10054 T(x * K(y \ z,x),T(y \ z,y)) = T(x * K(z / y,x),y \ z). [para(8013(a,1),10052(a,1,1,2)),flip(a)]. 10055 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [hyper(66,a,8409,a(flip),b,10053,a),flip(a)]. 10056 T(x * K(y / z,x),z \ y) = T(x * K(z,x),T(z,y)). [hyper(66,a,9127,a(flip),b,10054,a),flip(a)]. 10057 T(x * K(y \ z,x),T(y \ z,z)) = T(x * K(y,x),T(y,z)). [hyper(66,a,10053,a,b,10056,a)]. 10058 T(x,y * ((z * (y \ z)) / z)) = K(x,z) * T(x * K(y,x),T(y,z)). [para(10057(a,1),8772(a,1,2)),flip(a)]. 10059 T(x,y * ((z * (y \ z)) / z)) = T(x,T(z,y)). [hyper(285,a,8770,a(flip),b,10058,a),flip(a)]. 10060 T(x,T(y,z \ y)) = T(x,T(y,z)). [para(3978(a,1),10059(a,1,2))]. 10061 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(66,a,9130,a,b,10060,a)]. 10062 T(K(x \ T(y,z),u),T(y,x)) = T(K(x \ T(y,z),u),y). [hyper(66,a,9447,a(flip),b,10060,a),flip(a)]. 10063 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(285,a,8406,a,b,10061,a)]. 10064 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(285,a,5130,a(flip),b,10061,a),flip(a)]. 10065 T(x * y,T(z,y)) = T(x * y,T(z,x)). [hyper(66,a,8562,a(flip),b,10061,a),flip(a)]. 10066 T(x,T(y,z \ u)) = T(x,T(y,u \ z)). [para(6592(a,1),10061(a,1,2))]. 10067 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(5207,a,10064,a)]. 10068 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(10064(a,2),5180(a,1))]. 10069 K(x \ 1,T(y,z \ K(x,u))) = K(x \ 1,T(y,z)). [hyper(66,a,8767,a,b,10067,a)]. 10070 K(x,T(T(y,z),u \ y)) = K(x,T(T(y,z),u)). [hyper(66,a,9386,a(flip),b,10067,a)]. 10071 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(66,a,8247,a(flip),b,10067,a)]. 10072 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(66,a,8246,a(flip),b,10067,a)]. 10073 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,u),z)). [para(28(a,1),10067(a,1,2))]. 10074 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6592(a,1),10067(a,1,2))]. 10075 K(x,T(y,z \ K(u,w))) = K(x,T(y,K(w,u) * z)). [para(6600(a,1),10067(a,1,2)),flip(a)]. 10076 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(10067(a,1),7682(a,1,2))]. 10077 T(x * L(L(y,z,u),w,v5),T(y,x)) = T(x * L(L(y,z,u),w,v5),y). [para(198(a,1),10065(a,1,2)),flip(a)]. 10078 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(168(a,1),10071(a,1,2)),flip(a)]. 10079 K(R(x,y,z) * u,T(x,u)) = K(R(x,y,z) * u,x). [para(168(a,1),10071(a,2,2))]. 10080 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [para(169(a,1),10071(a,1,2)),flip(a)]. 10081 K(x,T(y,z \ y)) = K(x,T(y,z)). [hyper(8434,a,10074,a),flip(a)]. 10082 K(x,T(y,z \ L(y,u,w))) = K(x,T(y,z)). [hyper(285,a,9817,a(flip),b,10074,a),flip(a)]. 10083 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(10074(a,1),8434(a,1))]. 10084 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [hyper(285,a,10074,a,b,10081,a),flip(a)]. 10085 K((x \ y) / z,T(y,x)) = K(z \ (x \ y),y). [hyper(66,a,7694,a(flip),b,10081,a),flip(a)]. 10086 K(x,T(y * z,z)) = K(x,T(y * z,y)). [para(14(a,1),10081(a,1,2,2))]. 10087 K(x * K(y,T(x,z)),u) = K(x,T(u,T(y,z \ x))). [para(10081(a,1),8111(a,1,1,2))]. 10090 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(10063(a,2),10068(a,1))]. 10092 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(28(a,1),10090(a,1))]. 10093 T(x \ y,K(x,z)) != u | T(y / x,T(x,z)) = u. [para(118(a,1),10090(a,1,1))]. 10095 K(x,T(T(y,z \ 1),u)) = K(x,T(T(y,z),u)). [para(28(a,1),10073(a,2,2))]. 10096 (x \ 1) * T(K(y,z),x) = K(y,z) * (x \ 1). [para(7681(a,1),10076(a,1,2))]. 10097 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(9624(a,1),10084(a,1,2))]. 10098 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(10084(a,1),10083(a,1))]. 10099 K((x \ R(y,z,u)) / w,R(T(y,x),z,u)) = K(w \ (x \ R(y,z,u)),R(y,z,u)). [para(32(a,2),10085(a,1,2))]. 10100 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(225,a,10096,a)]. 10102 K(T(x,y \ 1) \ 1,z) = T(K(x \ 1,z),y). [hyper(37,a,6079,a,b,10096,a)]. 10103 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(285,a,7872,a,b,10100,a)]. 10104 T(K(x,y),z \ K(u,w)) = T(K(x,y),K(w,u) * z). [hyper(66,a,6600,a(flip),b,10100,a),flip(a)]. 10105 (1 / x) * T(K(y,z),x) = K(y,z) * (1 / x). [para(10100(a,1),3032(a,1,2))]. 10106 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(10100(a,2),7757(a,1))]. 10107 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6594(a,2),10106(a,1))]. 10108 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8001(a,1),10107(a,1))]. 10109 K(x,T(y,(z * (u * y)) \ (z * u))) = K(x,T(y,a(z,u,y))). [para(19(a,2),10097(a,1,2,2)),flip(a)]. 10110 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(9443(a,1),10097(a,1,2)),flip(a)]. 10111 K(T(x,y \ 1) \ 1,z) = K(T(x,y) \ 1,z). [hyper(285,a,6080,a,b,10102,a),flip(a)]. 10112 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(37,a,7872,a,b,10103,a)]. 10113 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(10103(a,1),7873(a,1))]. 10114 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(285,a,7908,a,b,10112,a),flip(a)]. 10115 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(66,a,8656,a,b,10112,a)]. 10116 K(x,K(y \ 1,z)) = K(x,K(z,y)). [hyper(66,a,7908,a,b,10112,a)]. 10117 K(x,(y \ T(y * z,u)) / z) = K(u,K(x,(y \ 1) / z)). [hyper(66,a,7921,a(flip),b,10112,a)]. 10118 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(5704(a,2),10112(a,1,2))]. 10119 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5708(a,1),10112(a,1,2))]. 10120 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6392(a,1),10112(a,1,2))]. 10121 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6416(a,1),10112(a,1,2))]. 10122 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10114,a)]. 10123 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(66,a,7884,a(flip),b,10114,a)]. 10124 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6392(a,1),10114(a,1,2)),flip(a)]. 10125 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(10114(a,1),8774(a,1,1,1)),flip(a)]. 10126 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(285,a,7884,a(flip),b,10116,a),flip(a)]. 10127 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(66,a,7885,a,b,10116,a)]. 10128 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(5967(a,2),10122(a,1,2))]. 10129 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10123,a),flip(a)]. 10130 K(x,K(y,z)) * K(y \ (u / (z * u)),y) = K(y \ (u / (z * u)),T(y,x)). [para(10118(a,1),7957(a,1,1))]. 10131 K(x,K(y,z \ T(y,u))) = K(x,K(y,z)). [hyper(285,a,8196,a(flip),b,10120,a),flip(a)]. 10132 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(7589(a,1),10124(a,1,2)),flip(a)]. 10133 K(x,K(y,z)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10131(a,1),7917(a,1,1))]. 10134 (1 / x) * K(y,T(z,x)) = K(y,z) * (1 / x). [para(7681(a,2),10105(a,1,2))]. 10135 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(66,a,9272,a(flip),b,10110,a),flip(a)]. 10136 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(9270(a,1),10110(a,1,2)),flip(a)]. 10137 K(L(x / (y \ 1),y \ 1,y) \ 1,z) = K(T(y * x,y) \ 1,z). [hyper(66,a,8383,a,b,10111,a)]. 10138 (1 / (x * y)) * K(x,y) = K(x,y) * (1 / (x * y)). [para(4193(a,1),10134(a,1,2))]. 10140 K(x * y,T(x,y \ z)) = K(y * x,T(x,z)). [hyper(285,a,6120,a,b,10135,a),flip(a)]. 10142 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,7968,a,b,10136,a)]. 10144 K(x * y,T(y,x \ z)) = K(x * y,T(y,z)). [hyper(66,a,6120,a,b,10140,a)]. 10145 K(x * y,T(y,x * z)) = K(x * y,T(y,z)). [para(14(a,1),10144(a,1,2,2)),flip(a)]. 10146 K(x,T(y,(z \ u) \ x)) != w | K(x,T(y,u \ z)) = w. [para(10072(a,2),10098(a,1))]. 10147 K(x \ 1,T(y,K(z,x) * u)) = K(x \ 1,T(y,u)). [hyper(66,a,10069,a(flip),b,10075,a),flip(a)]. 10148 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(10078(a,1),5420(a,1,2))]. 10149 K(x * R(y,z,u),y) * K(y,K(w,x * R(y,z,u))) = T(K(x * R(y,z,u),T(y,x)),w). [para(10078(a,2),7906(a,2,1))]. 10150 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(10080(a,1),6829(a,1,2))]. 10151 K(x,T(y,T(z,u \ x))) = K(x,T(y,T(z,u))). [hyper(66,a,8111,a(flip),b,10087,a),flip(a)]. 10152 K(x,T(y,T(z,x \ u))) = K(x,T(y,T(z,u))). [para(10066(a,1),10151(a,1,2))]. 10153 T(K(x,y),T(y,z) \ K(y,u)) = K(x,y). [hyper(285,a,7714,a(flip),b,10104,a),flip(a)]. 10154 K(x,y) * (T(y,z) \ K(y,u)) = (T(y,z) \ K(y,u)) * K(x,y). [hyper(124,a,10153,a(flip),b,27,a(flip)),flip(a)]. 10155 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(10112(a,1),10115(a,1,1))]. 10156 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [hyper(66,a,8655,a(flip),b,10155,a),flip(a)]. 10157 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(7884(a,1),10155(a,1,1))]. 10158 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(66,a,10155,a(flip),b,10157,a),flip(a)]. 10159 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(66,a,8653,a(flip),b,10157,a)]. 10160 K(R(K(x,y),z,u),w) = K(y,K(w,R(x,z,u))). [hyper(66,a,8651,a(flip),b,10157,a)]. 10161 K(x,K(y,R(z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7881,a,b,10158,a)]. 10162 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(7042(a,1),10159(a,1,2)),flip(a)]. 10163 K(x,K(y,R(x \ z,u,w))) = K(x,K(z,R(y,u,w))). [hyper(285,a,7958,a(flip),b,10161,a),flip(a)]. 10164 K(x,K(y,K(z,u) * w)) * y = T(y,K(x,w \ K(u,z))). [para(10121(a,1),7889(a,1,1))]. 10165 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,u,w))). [para(10123(a,1),10127(a,1,1))]. 10166 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(10129(a,1),10127(a,1,1))]. 10167 K(L(K(x,y),z * K(y,u),w),v5) = K(x,K(v5,L(y,z,w))). [hyper(66,a,8742,a,b,10165,a)]. 10168 K(x,K(y,L(z,u,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10165,a(flip),b,10166,a)]. 10169 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(66,a,8479,a(flip),b,10166,a)]. 10170 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(285,a,7881,a,b,10168,a)]. 10171 K(x,K(y,L(z \ 1,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,10123,a(flip),b,10168,a),flip(a)]. 10172 K(x,K(y \ z,L(y,u,w))) = K(y,K(z,L(x,u,w))). [hyper(285,a,7958,a(flip),b,10168,a),flip(a)]. 10173 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(285,a,7881,a,b,10169,a),flip(a)]. 10174 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(66,a,8657,a(flip),b,10169,a)]. 10175 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(10169(a,2),7888(a,1,2))]. 10176 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(268(a,1),10170(a,2,2,2))]. 10177 K(x,L(K(y,z),u,w) \ 1) = K(x,K(z,L(y,u,w))). [hyper(66,a,8659,a,b,10174,a)]. 10178 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(6573(a,1),10128(a,2,2))]. 10179 (K(x,y) * (1 / (x * y))) * y = (1 / (x * y)) * (y * K(x,y)). [para(10138(a,1),7379(a,1,1))]. 10180 K(L(K(x,x \ y),z,u),w) = K(x,K(y,L(w,z,u))). [hyper(66,a,10173,a,b,10172,a)]. 10181 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(66,a,8499,a(flip),b,10175,a)]. 10182 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [para(6032(a,1),10177(a,1,2))]. 10183 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(6648(a,1),10182(a,1,2)),flip(a)]. 10184 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(66,a,10168,a,b,10183,a)]. 10185 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(122,a,10148,a(flip),b,5522,a),flip(a)]. 10186 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(10148(a,1),4419(a,1,1)),flip(a)]. 10187 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(122,a,10150,a(flip),b,5522,a),flip(a)]. 10188 K(x,y) * K(y * L(x,z,u),x) = x \ R(x,y,L(x,z,u)). [hyper(122,a,10150,a(flip),b,5152,a),flip(a)]. 10189 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(4904(a,1),10117(a,1,2,1)),flip(a)]. 10190 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8654(a,1),10125(a,2,1))]. 10191 K(x,K(y,z)) * (y \ T(z,u)) = T(y \ T(z,u),K(x,z)). [para(7908(a,1),10133(a,1,1))]. 10192 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [hyper(285,a,10097,a(flip),b,10142,a),flip(a)]. 10193 T(x,K(y,z \ K(u,w))) = T(x,K(y,K(w,u) * z)). [hyper(7891,a,10164,a),flip(a)]. 10194 T(x,K(y,z \ K(u,y))) = T(x,K(y,z)). [para(8138(a,1),10193(a,2,2))]. 10195 T(x,K(y,z \ 1)) = T(x,K(y,z)). [para(165(a,1),10194(a,1,2,2,2))]. 10196 T(x,K(y \ 1,z)) = T(x,K(z,y)). [hyper(7953,a,10195,a)]. 10197 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6392(a,1),10195(a,1,2))]. 10198 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(10195(a,1),10090(a,1))]. 10199 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(285,a,7940,a,b,10196,a),flip(a)]. 10200 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6468(a,1),10196(a,1,2))]. 10201 T(x,K(y,x \ (z \ 1))) = T(x,K(z,y)). [hyper(66,a,8536,a,b,10199,a)]. 10203 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(8541,a,10197,a),flip(a)]. 10204 T(x,K(y,z \ x)) = T(x,K(z,y)). [hyper(8537,a,10197,a),flip(a)]. 10205 T(x,K(y,x \ (z \ 1))) = z \ T(z * x,K(x,y)). [hyper(285,a,8658,a(flip),b,10197,a),flip(a)]. 10206 L(x,y,z) \ L(T(x,K(u,w)),y,z) = K(L(x,y,z),K(u,w \ x)). [para(10203(a,1),5178(a,1,2,1))]. 10207 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(10203(a,1),7945(a,1,1))]. 10208 (K(x \ y,z) * y) \ T(y,K(x,z)) = K(z,x \ y). [hyper(122,a,10204,a(flip),b,7401,a)]. 10209 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(285,a,8226,a(flip),b,10200,a),flip(a)]. 10210 T((x / y) \ 1,K(z,x \ y)) = (x / y) \ 1. [hyper(66,a,7746,a(flip),b,10200,a),flip(a)]. 10211 T(x,K(y \ z,u)) != w | T(x,K(z \ y,u)) = w. [para(10200(a,2),7953(a,1))]. 10212 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(66,a,10055,a,b,10209,a)]. 10213 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(10212(a,1),5240(a,1,1))]. 10214 T(K(x,y) * z,x / z) = T(K(x,y) * z,z \ x). [para(8152(a,1),10213(a,1,1))]. 10215 T((x / y) \ 1,z / (x \ y)) = T((x / y) \ 1,(x \ y) \ z). [para(10210(a,1),10213(a,1,1))]. 10216 x \ T(x * y,K(y,z)) = T(y,K(x,z)). [hyper(66,a,10201,a(flip),b,10205,a),flip(a)]. 10217 x \ T(y * x,K(y,z)) = T(T(y,K(x,z)),x). [para(10216(a,1),4927(a,1,1)),flip(a)]. 10219 x \ T(y * x,K(y,z)) != u | T(y,T(x,z)) = u. [para(10217(a,2),10092(a,1))]. 10220 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(285,a,8041,a(flip),b,10207,a),flip(a)]. 10221 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(1 / y,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7286(a,1),10208(a,1,1,1,1))]. 10222 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [hyper(8315,a,10220,a)]. 10223 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(7884(a,1),10222(a,1,1))]. 10224 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,(y * z) / x). [para(7879(a,1),10223(a,1,1))]. 10225 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(u,K(w,L(x \ 1,y,z))). [hyper(66,a,8886,a(flip),b,10167,a)]. 10226 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(285,a,5190,a,b,10190,a),flip(a)]. 10228 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(66,a,10196,a(flip),b,10226,a),flip(a)]. 10230 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9718(a,2),10108(a,1))]. 10231 K(x,T(y,L(y,z,u) \ 1)) = K(x,T(y,a(u,z,y))). [para(6596(a,1),10109(a,1,2))]. 10232 K(x,T(y,a(z,u,y))) = K(x,y). [hyper(66,a,9819,a(flip),b,10231,a),flip(a)]. 10234 T(x,T(y,a(z,u,y))) = x * K(x,y). [hyper(124,a,10232,a(flip),b,5125,a(flip)),flip(a)]. 10235 T(x,T(y,a(z,u,y))) = T(x,y). [hyper(285,a,5130,a,b,10234,a),flip(a)]. 10236 (x * T(y,a(z,u,y))) / T(x,y) = T(y,a(z,u,y)). [para(10235(a,1),179(a,1,2))]. 10237 T(x,T(a(y,z,x),u)) = T(x,a(y,z,x)). [hyper(8364,a,10236,a)]. 10238 T(T(x,y),T(a(z,u,x),w)) = T(T(x,a(z,u,x)),y). [para(10237(a,1),28(a,1,1)),flip(a)]. 10239 K(x,a(y,z,x)) * T(x,u) = T(T(x,a(y,z,x)),u). [hyper(8287,a,10238,a)]. 10240 T(x,T(y,a(z,u,x))) = T(x,y). [hyper(37,a,7825,a,b,10239,a)]. 10241 T(x,T(y,a(z,u,x))) = x * K(x,y). [hyper(285,a,5130,a(flip),b,10240,a),flip(a)]. 10242 K(x,T(y,a(z,u,x))) = K(x,y). [hyper(5207,a,10241,a)]. 10244 K(x,y) * a(z,u,x) = a(z,u,x) * K(x,y). [para(10242(a,1),7682(a,1,2)),flip(a)]. 10245 K(x,a(y,z,x) / u) != w | K(x,u \ a(y,z,x)) = w. [para(10242(a,1),7708(a,1))]. 10246 T(a(x,y,z),K(z,u)) = a(x,y,z). [hyper(225,a,10244,a)]. 10248 a(x \ 1,x / y,y) = a(x \ 1,y \ x,y). [hyper(66,a,8983,a(flip),b,10246,a),flip(a)]. 10250 a(x \ 1,y \ x,y) / y = (1 / x) * (x / y). [hyper(123,a,10248,a(flip),b,3938,a)]. 10251 a((x * y) \ 1,(x * y) / x,x) = a((x * y) \ 1,y,x). [para(14(a,1),10248(a,2,2))]. 10252 (1 / (x * y)) * ((x * y) / x) = a((x * y) \ 1,y,x) / x. [para(14(a,1),10250(a,1,1,2)),flip(a)]. 10253 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(66,a,10184,a(flip),b,10176,a)]. 10254 R(x * (y * R(x,z,u)),K(y * R(x,z,u),x),K(x,y)) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(66,a,497,a,b,10185,a)]. 10255 K(R(x,y,z) * u,T(x,u)) * K(T(x,u),u) = T(x,u) \ R(T(x,u),u,R(T(x,u),y,z)). [para(223(a,1),10185(a,1,1,1))]. 10256 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(10187(a,1),2232(a,1))]. 10257 K(x * L(y,z,u),T(y,x)) * K(y,x) = y \ R(y,x,L(y,z,u)). [para(10080(a,2),10187(a,1,1))]. 10258 K(x,y) * (T(y,z) \ K(y,x)) = T(y,z) \ 1. [hyper(285,a,7404,a(flip),b,10154,a),flip(a)]. 10259 (1 / (x * y)) * (y * K(x,y)) = K(x,y) * ((1 / (x * y)) * y). [hyper(9166,a,10179,a),flip(a)]. 10260 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(37,a,10142,a,b,10192,a),flip(a)]. 10261 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1148(a,1),10260(a,1,2,2))]. 10262 1 / (((x / y) \ 1) \ K(z / (x \ y),(x / y) \ 1)) = T((x / y) \ 1,(x \ y) \ z). [hyper(66,a,5302,a(flip),b,10215,a)]. 10263 ((x / y) * T((x / y) \ 1,(x \ y) \ z)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(10215(a,1),7436(a,1,1,2))]. 10264 K(K(L(x,y,z) \ 1,u) \ 1,w) = K(w,K(x,L(u,y,z))). [hyper(285,a,10171,a(flip),b,10225,a),flip(a)]. 10266 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(T(z * y,z) \ 1,u) \ 1,x). [para(10137(a,1),10264(a,1,1,1)),flip(a)]. 10267 T(T(x,y),z) * (K(z * R(T(x,y),u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10040(a,1),10186(a,2,1))]. 10268 K(L(x,y,z),K(u,w \ x)) = K(L(x,y,z),K(u,w)). [hyper(5473,a,10206,a),flip(a)]. 10269 K(L(x,y,z),K(u,w \ x)) = K(u,K(w,L(x,y,z))). [hyper(285,a,7884,a,b,10268,a),flip(a)]. 10270 T(x,K(y \ z,L(z,u,w))) = (K(x,K(y,L(z,u,w))) * v5) / (x \ v5). [para(10269(a,1),7920(a,1,1,1)),flip(a)]. 10271 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(1 / (x \ y),z)) * K(1 / (x \ y),z). [para(2606(a,1),10257(a,1,1,1,2)),flip(a)]. 10272 T(x * L(L(y,x,y),z,u),y) = T(x,y) * L(y,z,u). [hyper(66,a,8290,a(flip),b,10077,a),flip(a)]. 10273 K(x,L(L(x,y,x),z,u) / (y \ 1)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(10272(a,1),5567(a,1,2,2))]. 10274 T(x,K(y \ z,L(z,u,w))) = T(x,K(y,L(z,u,w))). [hyper(285,a,5525,a(flip),b,10270,a),flip(a)]. 10275 T(x,K(y \ z,L(y,u,w))) = T(x,K(z,L(y,u,w))). [hyper(10211,a,10274,a)]. 10276 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(9925(a,1),10253(a,1,2))]. 10277 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(66,a,7908,a,b,10162,a)]. 10278 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(K(u,T(z * y,z) \ 1),x). [para(5320(a,1),10266(a,2,1))]. 10279 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(T(z * y,z) \ 1,x)). [hyper(285,a,7860,a(flip),b,10278,a),flip(a)]. 10280 K(x,K(y / (z \ 1),L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(285,a,10116,a(flip),b,10279,a),flip(a)]. 10281 K((T(x,y) \ R(x,z,u)) / w,R(x,z,u)) = K(w \ (T(x,y) \ R(x,z,u)),R(x,z,u)). [para(170(a,1),10099(a,1,2,1))]. 10282 K(T(x,y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [hyper(285,a,5722,a(flip),b,8379,a),flip(a)]. 10283 K(((x \ y) \ y) * z,T(T(x,u),w)) = K(x * z,T(T(x,u),w)). [para(117(a,1),10282(a,1,1,1))]. 10284 K(T(x,y * K(z * x,y)),T(u,x * z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8029,a(flip),b,8764,a)]. 10285 K(T(x,y * K(z * x,y)),T(u,z)) = K((x * K(x * z,x)) * K(x,y),u). [hyper(66,a,8505,a(flip),b,10284,a)]. 10286 K((x * K(x * y,x)) * K(x,z),u) = K(x * K(T(x,y),z),T(u,y)). [hyper(66,a,8765,a(flip),b,10285,a),flip(a)]. 10287 K((x * K(x * y,x)) * K(x,z),u) = K(K(y,x) * T(x,z),u). [hyper(285,a,9439,a(flip),b,10286,a),flip(a)]. 10288 K(T(x,y) * K(x * z,x),u) = K(K(z,x) * T(x,y),u). [para(5846(a,1),10287(a,1,1))]. 10289 K(K(x * y,x) * T(x,z),u) = K(K(y,x) * T(x,z),u). [para(3193(a,1),10288(a,1,1))]. 10290 K(K(x * y,x) * T(x,z),T(u,z)) = K(x,T(u,T(y,z))). [hyper(285,a,8744,a(flip),b,10289,a),flip(a)]. 10291 K(x,T(y,T(x * z,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8744,a(flip),b,10290,a)]. 10292 K(x,T(y,T(z * x,u))) = K(x,T(y,T(z,u))). [hyper(66,a,8424,a,b,10291,a)]. 10293 K(x,T(x * y,T(y,z))) = K(x,x * y). [para(170(a,1),10291(a,1,2)),flip(a)]. 10294 K(x,T(x * T(y,z),y)) = K(x,x * T(y,z)). [para(8283(a,1),10293(a,1,2))]. 10295 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,(T(x,y) \ z) * T(x,y)). [hyper(66,a,6633,a(flip),b,10294,a)]. 10296 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,T(x,y) * (T(x,y) \ z)). [hyper(285,a,6626,a,b,10295,a),flip(a)]. 10297 K(T(x,y) \ z,T(z,T(x,z))) = K(T(x,y) \ z,z). [para(15(a,1),10296(a,2,2))]. 10298 K(T(x,y) \ z,T(z,x)) = K(T(x,y) \ z,z). [para(4105(a,1),10297(a,1,2))]. 10299 K(T(T(x,y),z),(x * u) \ w) = K(T(T(x,y),z),u \ (x \ w)). [hyper(7544,a,9147,a),flip(a)]. 10301 K(T(T(x,y),z),u \ (x \ z)) = K(T(x,y),z / (x * u)). [hyper(66,a,8003,a(flip),b,10299,a),flip(a)]. 10302 K(T(x,y),(x \ z) / u) = K(T(x,y),z / (x * u)). [hyper(66,a,8073,a(flip),b,10301,a)]. 10303 K(T(x / y,y),z / ((x / y) * u)) = K(y \ x,((x / y) \ z) / u). [para(118(a,1),10302(a,1,1)),flip(a)]. 10304 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((y / x) * u)). [para(118(a,1),10303(a,1,1)),flip(a)]. 10305 K(x \ y,((y / x) \ z) / u) = K(x \ y,z / ((x \ y) * u)). [hyper(285,a,8705,a(flip),b,10304,a),flip(a)]. 10306 x \ R(T(y,y \ z),u,y) = x \ R((y \ z) \ z,u,(y \ z) \ z). [para(9787(a,1),9256(a,1,2))]. 10307 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = x \ R(x,z,x). [hyper(66,a,9211,a(flip),b,10306,a),flip(a)]. 10308 K(((x \ 1) * (y \ 1)) \ 1,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(14(a,1),9267(a,1,1,1,1,1,1))]. 10309 K((x \ 1) \ y,y) / (x * K(y * x,y)) = 1 / (y \ (y * x)). [para(6575(a,1),10308(a,1,1))]. 10310 K(x * y,x) / (y * K(x * y,x)) = 1 / (x \ (x * y)). [para(6572(a,1),10309(a,1,1))]. 10311 R(1 / x,x,K(y * x,y)) = 1 / (y \ (y * x)). [hyper(395,a,10310,a)]. 10312 R(1 / x,x,K(y * x,y)) = 1 / x. [para(14(a,1),10311(a,2,2))]. 10313 (1 / x) \ K(y * x,y) = x * K(y * x,y). [para(10312(a,1),367(a,1,1))]. 10314 (1 / x) \ K(x * y,y) = x * K(y * x,y). [para(5785(a,2),10313(a,1,2))]. 10315 (1 / x) \ K(x * y,y) = x * K(x * y,y). [para(5785(a,2),10314(a,2,2))]. 10316 (x * y) \ (y * ((1 / T(x,y)) \ K(T(x,y) * z,z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10315(a,2),215(a,1,2,2))]. 10317 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = T(1 / x,(1 / x) \ 1). [hyper(285,a,7566,a(flip),b,9271,a),flip(a)]. 10318 T(1 / x,K(y,y \ (x \ 1)) \ ((1 / x) \ 1)) = x \ 1. [hyper(285,a,597,a(flip),b,10317,a),flip(a)]. 10320 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = ((u / L(T(x,y),z,x)) * K(x,y)) * x. [para(8961(a,1),9360(a,1,1,1,2)),flip(a)]. 10322 K(x,T(T((x * K(y,x)) * z,u),y)) = K(x,T(T(x * z,u),y)). [hyper(66,a,8105,a(flip),b,9767,a),flip(a)]. 10323 K(x,T(T(((y * x) / y) * z,u),y)) = K(x,T(T(x * z,u),y)). [para(5149(a,2),10322(a,1,2,1,1,1))]. 10324 K(x,T(T(y * ((z * x) / z),u),z)) = K(x,T(T(x * y,u),z)). [hyper(66,a,9938,a(flip),b,10323,a)]. 10325 1 / (((x / y) \ 1) \ K(z / (x \ y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(5708(a,1),10262(a,1,2,2))]. 10326 R(T(x,y),T(K(x,z),T(x,y)),u) = (T(T(x,z),T(y,z)) * u) / (K(x,z) * u). [para(3359(a,1),8285(a,1,2,1)),flip(a)]. 10327 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(3359(a,1),10326(a,1,2)),flip(a)]. 10329 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = R(R(T(x,u),K(x,y),z),w,v5) * (K(x,y) * z). [para(10327(a,1),593(a,1,1,1)),flip(a)]. 10331 K(T(T(x / (x / y),z),R(u,w,v5) * x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,8028,a(flip),b,8349,a)]. 10332 K(T(T(x / (x / y),z),x),u) = K(T(y,z),R(u,x,R(T(u,x),w,v5))). [hyper(66,a,9511,a(flip),b,10331,a)]. 10334 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T((u / x) \ u,y),z). [hyper(66,a,7798,a(flip),b,10332,a),flip(a)]. 10335 K(T(x,y),R(z,u,R(T(z,u),w,v5))) = K(T(x,y),z). [para(90(a,1),10334(a,2,1,1))]. 10336 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(14(a,1),8818(a,1,2,1))]. 10338 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(23(a,2),10336(a,1,2))]. 10339 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(66,a,9387,a(flip),b,10338,a)]. 10340 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(285,a,9110,a(flip),b,10339,a),flip(a)]. 10343 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(15(a,1),10340(a,2,2,2))]. 10344 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(17(a,1),10340(a,1,1,2)),flip(a)]. 10345 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(66,a,7096,a(flip),b,10343,a),flip(a)]. 10346 K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). [para(4250(a,1),10343(a,1,1,2))]. 10347 L(x,y,z) \ K(x,L(x \ 1,u,w)) = 1 / L(x,y,z). [para(10343(a,1),6804(a,1,2))]. 10348 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(10343(a,1),8165(a,1,1,2))]. 10349 K(x,y \ K(z,L(x,u,w))) = K(x,y \ 1). [para(10343(a,1),8147(a,1,2,2))]. 10350 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(66,a,6738,a(flip),b,10345,a)]. 10352 K(L(x,y,z) * u,x) = K(u * L(x,y,z),x). [para(96(a,1),10348(a,1,1)),flip(a)]. 10353 K(x / (y / L(z,u,w)),z) = K(x / (L(z,u,w) \ y),z). [para(6533(a,1),10348(a,1,1))]. 10354 K(x * T(L(y,z,u),w),y) = K(x * L(y,z,u),y). [para(7402(a,1),10348(a,1,1)),flip(a)]. 10355 K((x * T(L(y,z,u),w)) / w,y) = K((x * L(y,z,u)) / w,y). [para(7445(a,1),10348(a,1,1)),flip(a)]. 10356 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7723(a,1),10348(a,1,1)),flip(a)]. 10357 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(10356(a,1),8027(a,1,1,2)),flip(a)]. 10358 K(x,(T(L(x,y,z),u) \ w) \ 1) = K(x,w \ L(x,y,z)). [hyper(66,a,6740,a(flip),b,10349,a),flip(a)]. 10359 K(x,y \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ 1). [para(10343(a,1),10349(a,1,2,2))]. 10360 K(L(R(x,y,z),u,x),w) = K(R(x,y,z),w). [hyper(9631,a,10344,a),flip(a)]. 10361 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(10344(a,1),8056(a,1,2,2))]. 10362 K(x,K(L(x,y,z),u) * w) = K(x,w). [para(10344(a,1),8138(a,1,2,1))]. 10363 T(x,L(x,y,z) * u) = T(x,u * L(x,y,z)). [para(96(a,1),10361(a,1,2))]. 10364 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [para(5146(a,1),10362(a,1,2))]. 10365 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(66,a,8333,a(flip),b,10360,a)]. 10366 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),L(x,y,x) * (w \ 1)). [hyper(66,a,6846,a(flip),b,10360,a)]. 10367 K(R(L(x,y,x),z,u),w) = K(R(x,z,u),w). [para(34(a,2),10360(a,1,1))]. 10369 K(L(x,y,x) * z,x) = K(x * z,x). [hyper(285,a,8797,a(flip),b,10352,a),flip(a)]. 10370 K((L(x,y,z) \ x) \ u,x) = K((x \ u) * L(x,y,z),x). [hyper(66,a,9580,a,b,10352,a)]. 10371 K(x * (L(x,y,x) \ z),x) = K(z,x). [para(15(a,1),10369(a,1,1)),flip(a)]. 10372 T(x * K(y,x),x * (L(x,z,x) \ y)) = x. [para(10371(a,1),5150(a,1,1,2))]. 10373 T(x,x * (L(x,y,x) \ z)) = T(x,z). [para(10372(a,1),5240(a,1,1)),flip(a)]. 10374 T(x,L(x,y,x) * z) = T(x,x * z). [para(14(a,1),10373(a,1,2,2)),flip(a)]. 10376 T(x,L(x,y,x) * z) = x * K(x,x * z). [hyper(285,a,5130,a(flip),b,10374,a),flip(a)]. 10379 K(x,L(x,y,x) * z) = K(x,x * z). [hyper(5207,a,10376,a)]. 10380 R(K(x,x * y),T(x,z) * u,w) = K(R(x,u,w),L(x,v5,x) * y). [para(10379(a,1),9004(a,1,1))]. 10381 K(x,T(y,z * L(y,u,w))) = K(x,T(y,z)). [para(10363(a,1),9813(a,1,2))]. 10382 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(103(a,1),10381(a,1,2,2))]. 10383 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(10364(a,1),9998(a,1,2))]. 10384 K(x,K(y,z * L(x,u,w))) = K(y,K(x,z)). [hyper(66,a,7881,a,b,10383,a)]. 10385 K(x,K(y,z * L(x,u,w))) = K(x,K(y,z)). [hyper(285,a,7881,a,b,10384,a),flip(a)]. 10386 K(x,K(y,z * (u * x))) = K(x,K(y,z * u)). [para(103(a,1),10385(a,1,2,2))]. 10387 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(15(a,1),10382(a,1,2,2,2))]. 10388 K(x,T(y,z * (y * u))) = K(x,T(y,z * u)). [para(8740(a,1),10382(a,1,2))]. 10389 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(285,a,8244,a(flip),b,10388,a),flip(a)]. 10390 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(66,a,8244,a(flip),b,10388,a),flip(a)]. 10391 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(15(a,1),10389(a,1,2,2,2))]. 10392 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(66,a,8269,a,b,10390,a)]. 10393 K(x * (y \ z),T(x,z)) = K(x * (y \ z),T(x,y)). [para(15(a,1),10390(a,1,2,2))]. 10394 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(5191(a,1),10391(a,1,2,2)),flip(a)]. 10395 K(x * L(T(y,z),u,w),y) = K(x * L(y,u,w),y). [para(30(a,2),10354(a,1,1,2))]. 10397 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(113(a,1),10365(a,1,1)),flip(a)]. 10398 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(10365(a,1),8743(a,1,1))]. 10399 K(x,T(x \ y,z * y)) = K(x,T(x \ y,z)). [hyper(285,a,8244,a(flip),b,10387,a),flip(a)]. 10400 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(66,a,8244,a(flip),b,10387,a),flip(a)]. 10401 K(x,T(x \ (y \ z),z)) = K(x,T(x \ (y \ z),y)). [para(15(a,1),10399(a,1,2,2))]. 10402 (x * y) * R(K(z,z \ y),x,y) = (K(z,T(z \ y,x)) * x) * y. [para(10399(a,1),8500(a,1,1,1)),flip(a)]. 10403 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(17(a,1),10400(a,1,2,2)),flip(a)]. 10404 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(66,a,8568,a(flip),b,10403,a)]. 10405 T(T(x * K(y * L(x,z,u),x),w),y) = R(T(x,w),y,L(T(x,w),z,u)). [para(10395(a,1),6831(a,1,1,1,2))]. 10406 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(6797(a,1),10347(a,1,2))]. 10407 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(285,a,8027,a(flip),b,10357,a),flip(a)]. 10408 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [para(341(a,1),10407(a,1,2,2,1,1))]. 10409 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(5234(a,1),10407(a,1,2,2))]. 10410 K(x,T((K(x,y) * z) / u,z)) = K(x,u \ (K(x,y) * z)). [hyper(7708,a,10408,a),flip(a)]. 10411 K(x,T(y,T(z,x) \ u)) = K(x,T(y,z \ u)). [para(5545(a,1),10408(a,1,2,2))]. 10412 K(x,T(y,R(K(x,z),u,w) * v5)) = K(x,T(y,v5)). [para(6094(a,1),10408(a,1,2,2,1))]. 10415 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7997(a,1),10408(a,1,2,2))]. 10416 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(8739(a,1),10415(a,1,2,2)),flip(a)]. 10417 K(x,T(y,(z \ (x * u)) \ x)) = K(x,T(y,u \ z)). [hyper(66,a,9966,a(flip),b,10411,a),flip(a)]. 10418 K(x,T(y,(K(x,z) * u) * w)) = K(x,T(y,u * w)). [para(112(a,1),10412(a,1,2,2))]. 10420 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [hyper(10146,a,10417,a)]. 10421 K(x,T(x * y,y \ z)) = K(x,T(x * y,z)). [hyper(8434,a,10420,a),flip(a)]. 10422 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [para(15(a,1),10420(a,1,2,2,1)),flip(a)]. 10423 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(19(a,2),10420(a,1,2,2)),flip(a)]. 10424 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(5000(a,1),10420(a,1,2)),flip(a)]. 10425 K(x,T(x * y,y * z)) = K(x,T(x * y,z)). [para(14(a,1),10421(a,1,2,2)),flip(a)]. 10427 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [hyper(285,a,7968,a,b,10422,a)]. 10428 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(66,a,9337,a(flip),b,10422,a)]. 10429 K(x \ 1,T(y,z \ x)) = K(x \ 1,T(y,z)). [hyper(10098,a,10424,a)]. 10430 K(x,T(y * x,y * z)) = K(x,T(x * y,z)). [hyper(66,a,6628,a,b,10425,a)]. 10431 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(66,a,9545,a,b,10428,a)]. 10432 T(x,T(y,z \ (x * u))) = x * K(x,T(y,z \ u)). [hyper(124,a,10428,a(flip),b,5125,a(flip)),flip(a)]. 10433 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(15(a,1),10428(a,1,2,2,2)),flip(a)]. 10434 K((x * y) \ 1,T(z,y)) = K((x * y) \ 1,T(z,x)). [para(14(a,1),10429(a,1,2,2))]. 10435 K(x,T((y / z) * x,y)) = K(x,T(x * (y / z),z)). [para(17(a,1),10430(a,1,2,2))]. 10436 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(15(a,1),10431(a,1,2,2,2))]. 10437 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(10083,a,10433,a),flip(a)]. 10438 K(x,T(T(x \ y,z),u \ y)) = K(x,T(T(x \ y,z),u)). [hyper(66,a,10070,a(flip),b,10433,a),flip(a)]. 10440 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(5146(a,1),10418(a,1,2,2,1)),flip(a)]. 10441 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(8080(a,1),10418(a,1,2,2,1)),flip(a)]. 10442 T(x,T(y,z \ (x * u))) = T(x,T(y,z \ u)). [hyper(285,a,5130,a,b,10432,a),flip(a)]. 10443 T(x,T(y,z \ (x \ u))) = T(x,T(y,z \ u)). [para(15(a,1),10442(a,1,2,2,2)),flip(a)]. 10444 T(x,T(y \ (x \ z),y \ z)) = T(x,y \ (x \ z)). [para(115(a,1),10443(a,1,2)),flip(a)]. 10445 K((x * y) \ 1,T(T(z,x),y)) = K((x * y) \ 1,z). [hyper(285,a,7991,a(flip),b,10434,a),flip(a)]. 10446 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T((z / u) * ((x * y) / x),u),x)). [hyper(285,a,8096,a(flip),b,10435,a),flip(a)]. 10447 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(285,a,10074,a,b,10436,a),flip(a)]. 10448 K(x,T(((y * K(z,x)) * u) / w,y * u)) = K(x,w \ ((y * K(z,x)) * u)). [hyper(7708,a,10441,a),flip(a)]. 10450 K(((x \ 1) * y) \ 1,T(T(z,x),y)) = K(((x \ 1) * y) \ 1,z). [hyper(66,a,10095,a(flip),b,10445,a)]. 10451 K(x \ y,T(y,x \ z)) = K(x \ y,T(y,z)). [hyper(10083,a,10447,a),flip(a)]. 10452 K(x \ y,T(z,(u * x) \ y)) = K(x \ y,T(z,T(u,x))). [para(27(a,2),10447(a,2,2,2))]. 10455 K(x \ ((y \ x) * z),z) = K(y \ z,T(z,x)). [hyper(66,a,9376,a,b,10451,a)]. 10456 K(x \ (y \ z),T(y \ z,z)) = K(y \ (x \ z),y \ z). [hyper(66,a,9320,a(flip),b,10455,a),flip(a)]. 10457 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(66,a,5734,a(flip),b,10406,a)]. 10458 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(10406(a,1),5252(a,1,1))]. 10459 L(x,y,z) \ T(x,L(x,u,w) \ 1) = x * (1 / L(x,y,z)). [para(10406(a,1),5217(a,1,2)),flip(a)]. 10461 R(1 / L(x,y,z),x,x \ 1) = (L(x,y,z) \ x) * (x \ 1). [para(10457(a,1),488(a,1,1))]. 10462 L(x,y,1 / (y * x)) \ 1 = T((1 / (y * x)) * y,x). [para(438(a,1),10458(a,1,1)),flip(a)]. 10464 1 / T((1 / (x * y)) * x,y) = L(y,x,1 / (x * y)). [hyper(185,a,10462,a)]. 10466 1 / T((1 / (x * y)) * x,y) != z | L(y,x,(x * y) \ 1) = z. [para(10464(a,2),3659(a,1))]. 10467 K(x,(L(T(x,y),z,u) \ w) \ 1) = K(x,w \ L(x,z,u)). [para(30(a,2),10358(a,1,2,1,1))]. 10468 K((x \ y) * L(x,z,z \ 1),x) = K(a(z \ 1,z,x) \ y,x). [para(3937(a,1),10370(a,1,1,1)),flip(a)]. 10469 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(66,a,8567,a(flip),b,10394,a),flip(a)]. 10470 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(17(a,1),10469(a,1,2,2)),flip(a)]. 10471 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5364,a,10398,a),flip(a)]. 10472 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(10471(a,1),8761(a,2,2))]. 10473 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(285,a,9535,a(flip),b,10409,a),flip(a)]. 10475 K(x,T(y,z * L(x,u,w))) = K(x,T(y,z)). [para(16(a,1),10473(a,1,2,2)),flip(a)]. 10476 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(178(a,1),10473(a,1,2,2)),flip(a)]. 10477 K(T(x,y),T(z,u * L(x,w,v5))) = K(x,T(z * K(y,z),u)). [hyper(66,a,8030,a(flip),b,10475,a)]. 10478 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(66,a,10416,a(flip),b,10476,a)]. 10479 K(x,T(x * y,z * y)) = K(x,T(x * y,z)). [hyper(66,a,7696,a(flip),b,10478,a),flip(a)]. 10480 K(x,T(x * y,z * y)) = K(x,T(y * x,z)). [hyper(285,a,6628,a,b,10479,a),flip(a)]. 10481 (x * y) / (x * (z \ T(z * y,z))) = L(K(z,T(y * z,x)),y,x). [para(10480(a,1),9898(a,1,1)),flip(a)]. 10482 K(x,T(y / z,y)) = K(x,z \ (K(x,u) * y)). [hyper(66,a,9978,a(flip),b,10410,a)]. 10483 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(7708,a,10482,a),flip(a)]. 10485 K(x,y \ T(x,z)) = K(x,y \ x). [para(5190(a,2),10483(a,1,2,2))]. 10486 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(5146(a,1),10483(a,1,2,2)),flip(a)]. 10487 K(x,y \ (T(z,x) * u)) = K(x,y \ (z * u)). [para(5158(a,1),10483(a,1,2,2)),flip(a)]. 10488 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(5268(a,1),10483(a,1,2,2)),flip(a)]. 10489 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(5294(a,1),10483(a,1,2,2)),flip(a)]. 10490 K(x,y \ (T(x,z) \ u)) = K(x,y \ (x \ u)). [para(5516(a,1),10483(a,1,2,2)),flip(a)]. 10491 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(6254(a,1),10483(a,1,2,2)),flip(a)]. 10492 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ R(x,z,z \ 1)). [para(7239(a,1),10483(a,1,2,2)),flip(a)]. 10493 K(x,y \ (z * K(u,x))) = K(x,y \ z). [para(8080(a,1),10483(a,1,2,2)),flip(a)]. 10494 K(x,K(y,z \ y)) * (z \ T(y,u)) = T(z \ T(y,u),K(x,y)). [para(10485(a,1),7917(a,1,1,2))]. 10495 K(x,(y * z) \ (x * y)) = K(x,z \ x). [hyper(6639,a,10486,a),flip(a)]. 10496 K(x,K(y,z \ (y \ u))) = K(x,K(y,z \ u)). [para(10489(a,1),10260(a,1,2)),flip(a)]. 10497 K(x,y \ (z \ T(u,x))) = K(x,y \ (z \ u)). [para(5818(a,1),10493(a,1,2,2))]. 10498 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(6585(a,1),10493(a,1,2,2)),flip(a)]. 10499 K(x,(T(x,y) * z) \ u) = K(x,z \ (x \ u)). [hyper(66,a,9418,a,b,10490,a)]. 10500 K(x,K(y,z \ (y \ 1))) = K(x,K(y,z)). [hyper(285,a,10112,a(flip),b,10496,a),flip(a)]. 10501 (K(x,K(y,z \ u)) * w) / (y \ w) = T(y,K(x,z \ (y \ u))). [para(10496(a,1),7893(a,1,1,1))]. 10502 K(x,K(y,z)) * K(z \ (y \ 1),y) = K(z \ (y \ 1),T(y,x)). [para(10500(a,1),7686(a,1,1))]. 10503 K(x,y \ ((T(z,x) / u) \ z)) = K(x,y \ u). [para(90(a,1),10497(a,1,2,2)),flip(a)]. 10505 K(x,((T(y,x) / z) \ 1) \ z) = z \ ((T(y,x) / z) \ y). [hyper(66,a,7530,a(flip),b,10503,a),flip(a)]. 10506 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(285,a,9694,a(flip),b,10488,a),flip(a)]. 10507 K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). [para(442(a,1),10491(a,1,2))]. 10508 K(x,y \ (z * ((x \ u) * x))) = K(x,y \ (z * u)). [para(5101(a,1),10491(a,1,2,2,2))]. 10509 K(x / y,z \ (u * (y * (x / y)))) = K(x / y,z \ (u * x)). [para(5312(a,1),10491(a,1,2,2,2))]. 10510 K(x,y \ (z * (u * K(w,x)))) = K(x,y \ (z * u)). [para(8035(a,1),10491(a,1,2,2,2))]. 10511 K(x \ (y * (z * K(u,w))),w) = (v5 * K(w,x \ (y * z))) \ v5. [para(10510(a,1),7399(a,1,1,2)),flip(a)]. 10513 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(37,a,7968,a,b,10427,a)]. 10514 K(x,K(y,z \ (x \ u))) = K(x,K(y,u \ z)). [hyper(66,a,10120,a,b,10513,a)]. 10515 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(66,a,8313,a,b,10513,a)]. 10516 K((T(x,y) * z) \ u,K(x,w)) = K(x,K(w,u \ z)). [hyper(66,a,9559,a,b,10514,a)]. 10517 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(66,a,9633,a(flip),b,10515,a)]. 10518 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(10517(a,1),10103(a,1,2)),flip(a)]. 10519 K(x,K(y,(T(x,z) * u) \ w)) = K(x,K(y,w \ u)). [hyper(66,a,7884,a,b,10516,a)]. 10520 K(x,T(T(x \ y,z),y \ u)) = K(x,T(T(x \ y,z),u)). [hyper(10098,a,10438,a)]. 10521 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w * x)). [hyper(66,a,10082,a(flip),b,10452,a),flip(a)]. 10522 K(x \ (y \ z),x \ z) = K(y \ (x \ z),z / x). [hyper(66,a,7995,a(flip),b,10456,a),flip(a)]. 10523 (x \ y) \ K(z \ (x \ y),y / x) = T(x \ y,x \ (z \ y)) \ 1. [hyper(122,a,10522,a(flip),b,5124,a(flip))]. 10524 K(x,y \ L(T(x,z),u,w)) = K(x,y \ L(x,u,w)). [hyper(6423,a,10467,a)]. 10525 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K((x \ y) \ T(y,x),z \ L(T(x,x \ y),u,w)). [para(1051(a,1),10524(a,1,2,2,1)),flip(a)]. 10526 K((x \ y) \ T(y,x),z \ L(L(T(x,x \ y),y,x),u,w)) = K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)). [para(1052(a,1),10524(a,1,2,2,1))]. 10527 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(285,a,8520,a,b,10472,a)]. 10529 K(x,T(T(x \ y,z),y * u)) = K(x,T(T(x \ y,z),u)). [para(14(a,1),10520(a,1,2,2)),flip(a)]. 10530 L(K(x,T(T(x \ y,z),z)),z,y) = (y * (K(x,x \ y) * z)) / (y * z). [para(10529(a,1),8804(a,1,1))]. 10531 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(66,a,7991,a(flip),b,10397,a)]. 10532 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(589(a,1),10423(a,1,2,2))]. 10533 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(66,a,7777,a(flip),b,10532,a),flip(a)]. 10535 K(x,y / a(x,z,u)) = K(x,a(x,z,u) \ y). [hyper(66,a,8038,a(flip),b,10533,a)]. 10536 T(x,T(y,a(x,z,u))) = x * K(x,y). [hyper(124,a,10533,a(flip),b,5125,a(flip)),flip(a)]. 10537 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(285,a,5130,a,b,10536,a),flip(a)]. 10538 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(10537(a,1),8555(a,1,1,1))]. 10539 x * (a(1 / y,y,x) / x) = x * (1 / L(x,y,y \ 1)). [hyper(66,a,3830,a(flip),b,10459,a)]. 10541 x * (a(y \ 1,y,x) / x) = x * (1 / L(x,y,y \ 1)). [para(3935(a,1),10539(a,1,2,1))]. 10542 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (a(y \ 1,y,x) / x))) = K(x,z \ x). [para(10541(a,2),10495(a,1,2,2))]. 10543 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1584,a,10461,a)]. 10544 (L(x,y,z) \ x) \ x = L(x,y,z). [hyper(180,a,10543,a)]. 10545 (L(x,y,z) \ x) * L(x,y,z) = x. [hyper(136,a,10543,a)]. 10546 (L(x,y,z) \ x) * T((L(x,y,z) \ x) \ x,u) = x * K(L(x,y,z),u). [para(10544(a,1),6344(a,2,2,1))]. 10547 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(10544(a,1),6989(a,2,1,1))]. 10548 (x * (y * z)) \ ((x * y) * z) = T(a(x,y,z),L(z,y,x)). [para(10545(a,1),4731(a,1,2,2))]. 10549 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6864(a,1),10547(a,1,1))]. 10550 x / ((L(x,y,z) \ 1) * x) = L((x \ 1) \ 1,y,z). [hyper(185,a,10549,a)]. 10551 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(10549(a,1),3894(a,2,1))]. 10552 (x * (y * ((x \ 1) / y))) / ((L(x * (y * ((x \ 1) / y)),z,u) \ 1) * (x * (y * ((x \ 1) / y)))) = L(K(x \ (y \ 1),y) \ 1,z,u). [para(9467(a,1),10550(a,2,1,1))]. 10553 T(a(x,y,z),L(z,y,x)) = a(x,y,z). [hyper(647,a,10548,a),flip(a)]. 10554 K(L(x,y,z),a(z,y,x)) = a(z,y,x) / a(z,y,x). [para(10553(a,1),5123(a,2,2))]. 10555 K(L(x,y,z),a(z,y,x)) = 1. [hyper(285,a,85,a(flip),b,10554,a),flip(a)]. 10557 K(((x / y) * (y / z)) \ x,a(x / y,y / z,z)) = 1. [para(654(a,1),10555(a,1,1))]. 10558 K(T(x,y),T(z,u * L(x,w,v5))) = K(T(x,y),T(z,u)). [hyper(285,a,8030,a(flip),b,10477,a),flip(a)]. 10559 K(T(x,y),T(z,y)) = K(R(x,y,L(x,u,w)),z). [hyper(66,a,8109,a(flip),b,10558,a),flip(a)]. 10561 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(66,a,7990,a(flip),b,10559,a),flip(a)]. 10563 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(66,a,8011,a(flip),b,10561,a),flip(a)]. 10564 K(x,y) * R(x,z,L(x,u,w)) = T(R(x,z,L(x,u,w)),y). [para(10561(a,1),5190(a,2,1)),flip(a)]. 10565 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(66,a,7990,a(flip),b,10563,a),flip(a)]. 10567 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(10565(a,1),5232(a,2,1,1))]. 10568 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(285,a,5232,a,b,10567,a),flip(a)]. 10569 K(x,y) * R(x,z,L(x,u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(285,a,32,a,b,10564,a),flip(a)]. 10570 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(285,a,7753,a(flip),b,10531,a)]. 10571 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(90(a,1),10570(a,1,1,1)),flip(a)]. 10572 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(16(a,1),10571(a,1,1,2)),flip(a)]. 10573 R(K(x \ y,z),y,u) = K(R(x \ y,x,u),z). [para(87(a,1),10571(a,1,1,2)),flip(a)]. 10575 K(a(x \ 1,x,y) \ z,y) = K(z,y). [hyper(66,a,8715,a(flip),b,10468,a),flip(a)]. 10577 K(x,a(y \ 1,y,x) \ z) = (x \ K(z,x)) \ (x \ 1). [para(10575(a,1),5649(a,1,1,2)),flip(a)]. 10578 K(x,a(y \ 1,y,x) \ z) = K(x,z). [hyper(285,a,5649,a(flip),b,10577,a),flip(a)]. 10579 K(x,a(y \ 1,y,x) / z) = K(x,z \ 1). [hyper(66,a,6409,a(flip),b,10578,a),flip(a)]. 10580 K(x,y \ a(z \ 1,z,x)) = K(x,y \ 1). [hyper(10245,a,10579,a)]. 10581 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(38,a,10191,a,b,10494,a),flip(a)]. 10582 K(x,K(y \ z,z)) = K(x,K(y,z)). [hyper(66,a,7908,a,b,10581,a)]. 10583 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(66,a,10178,a,b,10582,a)]. 10584 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(90(a,1),10583(a,1,2,2,1,2))]. 10585 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(66,a,7147,a(flip),b,10584,a)]. 10586 T(x,K(y,z \ (x \ u))) = T(x,K(y,z \ u)). [hyper(7895,a,10501,a),flip(a)]. 10587 K(x,y \ (x \ z)) * T(x,K(u,y \ z)) = T(x,T(y \ (x \ z),u)). [para(10586(a,1),8773(a,1,2))]. 10588 K(x \ (y * (z * K(u,w))),w) = K(x \ (y * z),w). [hyper(285,a,7399,a(flip),b,10511,a),flip(a)]. 10589 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(96(a,1),10588(a,1,1,2,2))]. 10590 K((x * (y * z)) / u,T(z,x * (y * z))) = K(u \ (x * (z * y)),z). [hyper(8435,a,10589,a)]. 10591 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(442(a,1),10589(a,2,1))]. 10592 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(285,a,7872,a(flip),b,10518,a),flip(a)]. 10593 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(10113,a,10592,a)]. 10594 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(17(a,1),10593(a,1,2,2)),flip(a)]. 10595 L(K(x,y),z,u) \ L(T(K(x,y),w \ v5),z,u) = K(L(K(x,y),z,u),w \ (v5 / x)). [para(10594(a,1),5178(a,1,2,1))]. 10596 K(R(x,y,z),L(x,u,x) * w) = K(R(x,y,z),x * w). [hyper(66,a,9004,a(flip),b,10380,a),flip(a)]. 10597 (x * y) * R(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(7997(a,1),10402(a,2,1))]. 10598 (T(x \ y,x \ (z \ y)) \ 1) \ ((x \ y) \ 1) = K(x \ y,(z * x) \ y). [para(10523(a,1),9692(a,1,1))]. 10599 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (x * (z * y)),z). [hyper(66,a,10382,a(flip),b,10590,a)]. 10600 R(T(x,y),z,L(T(x,y),u,w)) = R(T(x,y),z,L(x,u,w)). [hyper(66,a,6924,a(flip),b,10405,a),flip(a)]. 10602 (x * (K(y,y \ x) * z)) / (x * z) = L(K(y,y \ x),z,x). [para(7991(a,1),10530(a,1,1)),flip(a)]. 10603 K(x,(y * z) / (y * ((x \ y) \ z))) = L(K(x,x \ y),z,y). [hyper(66,a,9905,a,b,10602,a)]. 10605 T(L(x,y,z),u) * (L(x,y,z) \ x) = x * K(L(x,y,z),u). [hyper(619,a,10546,a)]. 10606 L(T(x,y),z,u) * (L(x,z,u) \ x) = x * K(L(x,z,u),y). [para(30(a,2),10605(a,1,1))]. 10607 L(T(x,y),z,u) \ (x * K(L(x,z,u),y)) = L(x,z,u) \ x. [hyper(128,a,10606,a)]. 10608 T(x,R(x,y,z) * u) \ (x * K(L(x,u,R(x,y,z)),u)) = L(x,u,R(x,y,z)) \ x. [para(1509(a,1),10607(a,1,1))]. 10609 K(x,T((y * z) / u,y * z)) = K(x,u \ ((y * K(w,x)) * z)). [hyper(66,a,10033,a(flip),b,10448,a)]. 10610 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [hyper(7708,a,10609,a),flip(a)]. 10612 K(x,y \ ((x * (z / x)) * u)) = K(x,y \ (z * u)). [para(5439(a,1),10610(a,1,2,2,1)),flip(a)]. 10613 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(285,a,9059,a(flip),b,10591,a),flip(a)]. 10615 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(5558,a,10598,a),flip(a)]. 10616 K(x / y,z \ (x / y)) = K(y \ x,y \ (z \ x)). [hyper(66,a,10506,a,b,10615,a)]. 10617 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),x * (w \ 1)). [hyper(285,a,10596,a(flip),b,10366,a),flip(a)]. 10619 K(R(L(x,y,x),z,u),w \ L(x,y,x)) = K(R(x,z,u),w \ x). [hyper(285,a,6845,a(flip),b,10617,a),flip(a)]. 10620 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(66,a,7738,a(flip),b,10538,a)]. 10621 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(9082,a,10346,a)]. 10623 K(x,((1 / L(x,y,y \ 1)) * z) \ (x * (x \ a(y \ 1,y,x)))) = K(x,z \ x). [hyper(66,a,10498,a(flip),b,10542,a)]. 10624 K(x,((1 / L(x,y,y \ 1)) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [para(15(a,1),10623(a,1,2,2))]. 10625 K(x,((L(x,y,y \ 1) \ 1) * z) \ a(y \ 1,y,x)) = K(x,z \ x). [hyper(66,a,7160,a(flip),b,10624,a)]. 10627 K(x,((L(x,y,y \ 1) \ 1) * z) \ 1) = K(x,z \ x). [hyper(66,a,10580,a(flip),b,10625,a)]. 10629 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5473,a,10595,a),flip(a)]. 10630 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(285,a,10169,a(flip),b,10629,a),flip(a)]. 10631 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(66,a,10169,a(flip),b,10630,a)]. 10632 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9822(a,1),10631(a,1,2))]. 10633 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(66,a,10276,a(flip),b,10632,a),flip(a)]. 10634 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(66,a,10176,a(flip),b,10633,a),flip(a)]. 10635 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(66,a,7881,a,b,10634,a)]. 10636 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(66,a,9750,a(flip),b,10635,a)]. 10637 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(285,a,8904,a(flip),b,10636,a),flip(a)]. 10639 K(x,K(y,a(z,x,u))) = 1. [para(208(a,1),10637(a,1,2,2,3))]. 10641 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(10639(a,1),7862(a,1,2)),flip(a)]. 10642 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(285,a,13,a(flip),b,10641,a),flip(a)]. 10643 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(8227,a,10642,a)]. 10644 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [hyper(124,a,10643,a(flip),b,27,a(flip)),flip(a)]. 10646 T(x,R(x,y,z) * u) \ (x * K(x,u)) = L(x,u,R(x,y,z)) \ x. [para(9540(a,1),10608(a,1,2,2))]. 10647 K(R(x,y,z) * u,x) * K(x,u) = L(x,u,R(x,y,z)) \ x. [hyper(5591,a,10646,a)]. 10649 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(66,a,9199,a(flip),b,10507,a),flip(a)]. 10651 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(66,a,8612,a(flip),b,10649,a),flip(a)]. 10653 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(23(a,2),10651(a,2,2))]. 10654 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5360(a,1),10653(a,1,2,2)),flip(a)]. 10655 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10654(a,1),5633(a,1,2,2)),flip(a)]. 10656 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(285,a,5633,a(flip),b,10655,a),flip(a)]. 10657 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(5143(a,1),10656(a,1,1,2)),flip(a)]. 10658 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(66,a,10621,a(flip),b,10657,a)]. 10661 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(38,a,6177,a(flip),b,10551,a),flip(a)]. 10662 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(66,a,7261,a,b,10661,a)]. 10663 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1080(a,1),10662(a,1,2))]. 10664 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(136,a,10663,a)]. 10665 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(10663(a,1),5254(a,2,1)),flip(a)]. 10666 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(10664(a,1),6938(a,1,2,2,1)),flip(a)]. 10667 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(285,a,7908,a,b,10665,a),flip(a)]. 10668 L(K(x,y) * K(x,K(y,z * u)),u * x,z) = (z * (u * T(x,y))) / (z * (u * x)). [para(10386(a,1),9010(a,1,1,2))]. 10669 (x * (y * T(z,u))) / (x * (y * z)) = L(K(z,T(u,x * y)),y * z,x). [para(7968(a,1),10668(a,1,1)),flip(a)]. 10670 (x * (y * T(z,u))) / (x * (y * z)) = K(L(z,y,x),T(u,x * y)). [hyper(285,a,6653,a(flip),b,10669,a),flip(a)]. 10671 R(K(R(x,y,z),u),w,L(x,w,K(R(x,y,z),u))) = K(R(x,y,z),u). [hyper(285,a,16,a(flip),b,9180,a),flip(a)]. 10673 R(K(R(x,y,z),u),w,x) = K(R(x,y,z),u). [para(9170(a,1),10671(a,1,3))]. 10674 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T(((z * u) / z) * x,z))). [hyper(285,a,10152,a(flip),b,9440,a),flip(a)]. 10675 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,T((z * u) / z,z))). [hyper(285,a,10292,a(flip),b,10674,a),flip(a)]. 10676 K(x,T(y,z \ (x * (z * R(u,x,x \ z))))) = K(x,T(y,u)). [para(208(a,1),10675(a,2,2,2))]. 10677 K(x,T(y,z \ (z * R(u,x,x \ z)))) = K(x,T(y,u)). [hyper(66,a,10428,a(flip),b,10676,a)]. 10678 K(x,T(y,R(z,x,x \ u))) = K(x,T(y,z)). [para(14(a,1),10677(a,1,2,2))]. 10679 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,x \ z)). [hyper(66,a,8414,a(flip),b,10678,a)]. 10683 K(x,T(y,(z * (x \ u)) / u)) = K(x,T(y,z)). [hyper(285,a,8419,a(flip),b,10679,a),flip(a)]. 10684 K(x,T(y,z / (x \ u))) = K(x,T(y,z / u)). [para(17(a,1),10683(a,1,2,2,1)),flip(a)]. 10685 T(x,T(y,z / (x \ u))) = x * K(x,T(y,z / u)). [hyper(124,a,10684,a(flip),b,5125,a(flip)),flip(a)]. 10686 T(x,T(y,z / (x \ u))) = T(x,T(y,z / u)). [hyper(285,a,5130,a,b,10685,a),flip(a)]. 10687 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(((y * (x \ 1)) \ z) \ 1,x). [hyper(285,a,9470,a(flip),b,9471,a),flip(a)]. 10688 K(L(x * (y \ z),x \ 1,y) \ 1,x) = K(z \ (y * (x \ 1)),x). [hyper(285,a,6468,a(flip),b,10687,a),flip(a)]. 10689 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(66,a,9659,a(flip),b,10688,a),flip(a)]. 10691 K(x * (L(x,y,z) \ (u \ 1)),u) = K(L(x,y,z) \ (u \ x),u). [para(1245(a,1),10689(a,1,1))]. 10692 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,((y * (x \ 1)) \ z) \ 1). [hyper(285,a,9495,a(flip),b,9493,a),flip(a)]. 10693 T(x,L(x * (y \ z),x \ 1,y) \ 1) = T(x,z \ (y * (x \ 1))). [hyper(285,a,6592,a(flip),b,10692,a),flip(a)]. 10694 T(x,y \ (z * (x \ 1))) = T(x,y \ (x \ z)). [hyper(66,a,9664,a(flip),b,10693,a),flip(a)]. 10696 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). [hyper(8426,a,9573,a),flip(a)]. 10697 K((x \ y) \ z,R(T(z,u),w,v5)) = K(y \ (x * z),R(T(z,u),w,v5)). [hyper(66,a,5918,a(flip),b,9625,a),flip(a)]. 10698 K((x \ 1) \ y,R(T(y,z),u,w)) = K(x * y,R(T(y,z),u,w)). [para(78(a,1),10697(a,2,1))]. 10699 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(285,a,4600,a(flip),b,9682,a),flip(a)]. 10700 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(604(a,1),10699(a,1,2))]. 10701 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(6555,a,10700,a),flip(a)]. 10702 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = (y * (K(x,x \ y) * z)) / (y * z). [para(116(a,1),9685(a,2,2))]. 10703 R(K(x,x \ y),z,T(y,K(x,x \ y) * z)) = K(x,(y * z) / (y * ((x \ y) \ z))). [hyper(285,a,9905,a,b,10702,a),flip(a)]. 10704 K(x,(y * z) / (y * ((x \ y) \ z))) = R(K(x,x \ y),z,T(y,z)). [para(9684(a,1),10703(a,1,3)),flip(a)]. 10705 R(K(x,x \ y),z,T(y,z)) = L(K(x,x \ y),z,y). [hyper(66,a,10603,a(flip),b,10704,a),flip(a)]. 10707 R(T(K(x,x \ y),z),u,T(y,u)) = T(L(K(x,x \ y),u,y),z). [para(10705(a,1),32(a,2,1))]. 10708 R(K(x,y),z,T(y * x,z)) = L(K(x,x \ (y * x)),z,y * x). [para(5336(a,1),10705(a,1,1))]. 10709 L(K(x,x \ y),z,y) \ K(R(K(x,x \ y),z,T(y,z)),u) = R(K(x,x \ y) * K(u,K(x,x \ y)),z,T(y,z)) \ 1. [para(10705(a,1),5808(a,1,1))]. 10710 R(T(K(x,x \ y),z),u,T(y,u)) = L(T(K(x,x \ y),z),u,y). [hyper(285,a,30,a,b,10707,a),flip(a)]. 10711 R(K(x,y),z,T(y * x,z)) = L(K(x,y),z,y * x). [para(5336(a,1),10708(a,2,1))]. 10712 R(K(x,y),T(z,u),T(y * x,z)) = L(K(x,y),T(z,u),y * x). [hyper(66,a,8790,a(flip),b,10711,a)]. 10713 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [hyper(66,a,25,a(flip),b,10711,a)]. 10714 R(T(K(x,x \ y),z),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10710(a,2,1))]. 10715 R(K(x,x \ y),T(z,u),T(y,z)) = L(K(x,x \ y),T(z,u),(x \ y) * x). [hyper(66,a,9615,a(flip),b,10712,a)]. 10716 R(K(x,T(x \ y,z)),u,T(y,u)) = L(K(x,T(x \ y,z)),u,y). [para(7681(a,2),10714(a,1,1))]. 10717 L(K(x,x \ y),T(z,y),(x \ y) * x) = R(K(x,x \ y),z,y). [hyper(66,a,7526,a(flip),b,10715,a),flip(a)]. 10718 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10713(a,1),479(a,1))]. 10719 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [para(9681(a,1),10713(a,1,1))]. 10720 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [para(116(a,1),10719(a,1,2))]. 10721 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(66,a,9905,a,b,10720,a)]. 10722 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [para(116(a,1),10014(a,1,2))]. 10723 K(((x / y) * (z * y)) \ (x * (z * y)),z) = L(K(y,z),T(x,z * y),z * y). [hyper(66,a,9916,a,b,10722,a)]. 10724 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(T(x,y),y). [para(10079(a,1),10255(a,1,1)),flip(a)]. 10725 T(x,y) \ R(T(x,y),y,R(T(x,y),z,u)) = K(R(x,z,u) * y,x) * K(x,y). [para(5316(a,1),10724(a,2,2))]. 10726 T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. [para(10036(a,1),10267(a,1,2,1))]. 10727 T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [para(5545(a,1),10726(a,1,2))]. 10729 K(x,(y \ 1) \ L(L(x,y,x),z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(7801(a,1),10273(a,1,1))]. 10730 (x * y) \ (y * (T(x,y) * K(z * T(x,y),z))) = L(K(T(x,y) * z,z),T(x,y),y). [para(10314(a,1),10316(a,1,2,2))]. 10731 (x * y) \ (y * T(x * K(x * z,z),y)) = L(K(T(x,y) * z,z),T(x,y),y). [para(9543(a,1),10730(a,1,2,2))]. 10732 L(K(T(x,y) * z,z),T(x,y),y) = (x * y) \ ((x * K(x * z,z)) * y). [para(116(a,1),10731(a,1,2)),flip(a)]. 10733 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(285,a,9817,a(flip),b,10696,a),flip(a)]. 10735 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(285,a,8013,a(flip),b,10733,a),flip(a)]. 10736 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5701(a,1),6775(a,1,1,2))]. 10737 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(285,a,626,a(flip),b,10736,a),flip(a)]. 10739 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(136,a,10737,a)]. 10740 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(39,a,5448,a,b,10737,a)]. 10742 K(x,y) * (K(x,z) * T(u,K(x,y))) = K(x,z) * (u * K(x,y)). [para(116(a,1),10739(a,1,2)),flip(a)]. 10743 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10739(a,1),5453(a,1,2)),flip(b)]. 10744 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7884(a,2),10739(a,1,1))]. 10745 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5360(a,1),10740(a,1,2,2)),flip(a)]. 10746 T(K(x,y) * z,K(y,u)) * K(y,u) = K(x,y) * (K(y,u) * z). [hyper(66,a,7945,a,b,10745,a)]. 10747 K(L(x,y / x,z),u) * (K(u,w) * v5) = K(u,w) * (L(K(x,u),y,z) * v5). [para(6651(a,1),10745(a,1,2,1)),flip(a)]. 10748 K(x,y) * (K(z,x) * (u * K(y,x))) = K(z,x) * T(u,K(x,y)). [para(7941(a,1),10745(a,2,2))]. 10750 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(224,a,9194,a,b,10742,a)]. 10751 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(6270,a,10750,a),flip(a)]. 10753 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(10750(a,2),263(a,1))]. 10754 T(K(x,K(y,z)) * u,K(x,w)) = K(z,K(x,y)) * T(u,K(x,w)). [para(7884(a,1),10750(a,2,1))]. 10756 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7884(a,2),10744(a,2,2,1))]. 10757 (x * K(y * z,y)) * K(y,z) = K(y * z,y) * (K(y,z) * x). [para(8232(a,1),10746(a,1,1))]. 10758 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [hyper(66,a,9408,a(flip),b,10748,a)]. 10759 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(6270,a,10758,a),flip(a)]. 10760 T(x * K(y,z * x),K(y,z)) = K(y,z * x) * x. [hyper(285,a,8533,a(flip),b,10759,a),flip(a)]. 10761 T(x * K(y,z),K(y,u)) \ T(x,K(y,u)) = K(z,y). [para(10759(a,2),7399(a,1,1))]. 10763 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / T(K(y,z),x * K(y,z * x)). [para(10760(a,1),4144(a,1,1)),flip(a)]. 10764 T(x * K(T(y,z),R(u,z,R(T(u,z),w,v5))),K(T(y,z),v6)) \ T(x,K(T(y,z),v6)) = K(u,T(y,R(u,w,v5) * z)). [hyper(285,a,8915,a(flip),b,10761,a),flip(a)]. 10765 T(K(x,K(y,z)) * u,K(y,w)) = K(x,K(y,z)) * T(u,K(y,w)). [para(7884(a,1),10754(a,1,1,1))]. 10766 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(303,a,10756,a),flip(a)]. 10767 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7884(a,2),10766(a,1,2,1))]. 10768 L(K(x,y),z,u) * (K(y,w) * v5) = K(y,w) * (L(K(x,y),z,u) * v5). [para(6651(a,1),10747(a,1,1))]. 10769 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(((y * x) \ z) \ 1,(y * x) \ z). [para(268(a,1),6799(a,1,2)),flip(a)]. 10770 K((x \ (y \ z)) \ 1,L(x \ (y \ z),u,w)) = K(z \ (y * x),(y * x) \ z). [hyper(285,a,6468,a(flip),b,10769,a),flip(a)]. 10771 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),(y * x) \ z). [para(268(a,1),10770(a,1,2))]. 10772 K((x \ (y \ z)) \ 1,(y * x) \ z) = K(z \ (y * x),x \ (y \ z)). [hyper(285,a,6871,a(flip),b,10771,a),flip(a)]. 10773 x * K(1 \ (y * x),x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(10772(a,1),6019(a,2,2)),flip(a)]. 10774 x * K(y * x,x \ (y \ 1)) = y \ (((y * x) \ 1) \ 1). [para(78(a,1),10773(a,1,2,1))]. 10775 K(x * (x \ y),(x \ y) \ (x \ 1)) = K(y,y \ 1). [hyper(37,a,3896,a(flip),b,10774,a),flip(a)]. 10776 K((1 / x) * y,y \ ((1 / x) \ 1)) = K(x \ y,y \ x). [hyper(37,a,2756,a(flip),b,10774,a),flip(a)]. 10777 (x \ (((x * y) \ 1) \ 1)) / y = K(x * y,y \ (x \ 1)). [hyper(123,a,10774,a(flip),b,6241,a)]. 10778 (x * R(K(y * x,x \ (y \ 1)),z,z \ x)) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(10774(a,1),785(a,2,1,1))]. 10779 K(x,(y \ x) \ (y \ 1)) = K(x,x \ 1). [para(15(a,1),10775(a,1,1))]. 10780 K((x \ y) \ (x \ 1),y) = 1 / K(y,y \ 1). [para(10779(a,1),5344(a,1,2)),flip(a)]. 10781 K((x \ y) \ (x \ 1),y) = K(y \ 1,y). [hyper(285,a,5344,a(flip),b,10780,a),flip(a)]. 10782 K((x * y) \ 1,x * y) = K(y \ (x \ 1),x * y). [para(14(a,1),10781(a,1,1,1)),flip(a)]. 10783 K(x \ ((y / x) \ 1),y) = K(y \ 1,y). [para(90(a,1),10781(a,1,1,1))]. 10784 K((x * y) \ 1,1 \ (x * y)) = K(y \ (x \ 1),x * y). [para(78(a,2),10782(a,1,2))]. 10785 K((1 / x) * y,y \ x) = K(x \ y,y \ x). [para(90(a,1),10776(a,1,2,2))]. 10786 x * K((1 / y) * x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(10785(a,2),2622(a,1,2))]. 10787 x * K((1 / (1 / y)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(7158(a,1),10786(a,1,2))]. 10788 x * K((1 / (y \ 1)) * x,x \ (y \ 1)) = (1 / y) * ((((1 / y) \ x) \ 1) \ 1). [para(6702(a,1),10787(a,1,2))]. 10789 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = y * K(x * y,y \ (x \ 1)). [para(87(a,1),10788(a,1,2,1,1)),flip(a)]. 10791 (1 / x) * ((((1 / x) \ y) \ 1) \ 1) = x \ (((x * y) \ 1) \ 1). [hyper(285,a,10774,a(flip),b,10789,a),flip(a)]. 10792 (x \ (((x * y) \ 1) \ 1)) * x = ((y * x) \ 1) \ 1. [para(10791(a,1),3614(a,1,1))]. 10793 x * K(x * y,y \ (x \ 1)) = y \ (((y * x) \ 1) \ 1). [hyper(38,a,6884,a,b,10792,a)]. 10794 (x \ (((x * y) \ 1) \ 1)) / ((y * x) \ y) = ((y * x) \ 1) \ 1. [para(10793(a,1),6240(a,1,1))]. 10795 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R((T(x,y) \ 1) \ K(y,x),u,w)). [para(5119(a,2),6823(a,1,2,1,2)),flip(a)]. 10796 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4245(a,1),6958(a,1,2))]. 10797 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(285,a,5798,a(flip),b,10796,a),flip(a)]. 10798 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(9081(a,1),10797(a,1,1,1,1))]. 10799 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(7045(a,1),10798(a,1,1))]. 10801 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9221(a,1),10799(a,1,1))]. 10802 T(x * (y * K(z,u)),L(K(u,z),y * K(z,u),x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7396(a,1),7426(a,1,2,2))]. 10803 K(x,T(y \ ((1 / z) * u),w)) = K(x,T(y \ ((z \ 1) * u),w)). [hyper(8781,a,8784,a),flip(a)]. 10804 K(x,T(y \ (((z \ 1) \ 1) * u),w)) = K(x,T(y \ (z * u),w)). [para(87(a,1),10803(a,1,2,1,2,1)),flip(a)]. 10805 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(285,a,8780,a(flip),b,8925,a),flip(a)]. 10806 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8357(a,1),10805(a,1,2,1,2,1))]. 10807 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(z,u) \ 1)). [para(9312(a,2),9321(a,2,2,1,1))]. 10808 (x * (y * (T(T(y,z),z) \ u))) * K(K(z,y) * u,K(z,y)) = x * (K(z,y) * (u * K(z,y))). [para(6086(a,1),9413(a,1,1,2))]. 10809 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(285,a,9943,a(flip),b,9553,a),flip(a)]. 10811 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,6392,a(flip),b,10809,a),flip(a)]. 10812 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6385(a,1),10811(a,1,2,2))]. 10813 K((x * y) / x,T((z / u) * ((x * y) / x),z)) = K(y,T(T(y * (z / u),u),x)). [hyper(285,a,10324,a(flip),b,10446,a),flip(a)]. 10814 K((x * ((y / z) \ u)) / x,T((y / z) * ((x * ((y / z) \ u)) / x),y)) = K((y / z) \ u,T(T(u,z),x)). [hyper(285,a,6632,a(flip),b,10813,a),flip(a)]. 10815 T(x * (y * K(z,u)),L(K(u,z),y,x)) = L(K(u,z),y / K(u,z),x) \ (x * y). [para(7587(a,1),10802(a,1,2))]. 10816 T(x * (y * K(z,u)),K(z,L(u,y,x))) = L(K(u,z),y / K(u,z),x) \ (x * y). [hyper(66,a,10181,a(flip),b,10815,a)]. 10818 L(K(x,x \ y),z / K(x,x \ y),u) \ (u * z) = T(u * (z * K(x \ y,x)),K(y,L(x,z,u))). [hyper(66,a,10275,a(flip),b,10816,a),flip(a)]. 10819 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(T(y * K(z,u),u) \ 1,K(u,z))). [para(5320(a,1),10807(a,2,2,2))]. 10820 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,T(y * K(z,u),T(u,z)) \ 1). [hyper(285,a,8412,a(flip),b,10819,a),flip(a)]. 10821 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(T(u,z) \ (y * u)) \ 1). [para(7457(a,1),10820(a,2,2,1))]. 10822 K(x,T(T(y * K(z,u),u) \ 1,T(y,u))) = K(x,(y * u) \ T(u,z)). [hyper(285,a,6392,a(flip),b,10821,a),flip(a)]. 10823 T(K(x,T(K(y,z) / u,T(u,y))),y) = K(x,(u * y) \ T(y,z)). [hyper(66,a,9780,a(flip),b,10822,a)]. 10824 (x * (y * (T(T(y,z),z) \ u))) * K(z,K(y,u)) = x * (K(z,y) * (u * K(z,y))). [para(8302(a,1),10808(a,1,2))]. 10825 (x * (y * (T(T(y,z),z) \ u))) * K(y,K(z,u)) = x * (K(z,y) * (u * K(z,y))). [para(7881(a,1),10824(a,1,2))]. 10827 K(x,y * (z * (K(u,x) * (w * K(u,x))))) = K(x,y * (z * (x * (T(T(x,u),u) \ w)))). [para(10825(a,1),8275(a,1,2,2))]. 10828 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * (w * K(u,x)))). [hyper(66,a,8300,a(flip),b,10827,a),flip(a)]. 10830 K(x,y * (z * (x * (T(T(x,u),u) \ w)))) = K(x,y * (z * w)). [hyper(285,a,8460,a(flip),b,10828,a),flip(a)]. 10832 K(x \ T(y,z),x) * (K(y,z) * (x * (x \ y))) = L(x \ y,x,K(y,z)) * (K(y,z) * x). [para(8888(a,1),6667(a,1,1))]. 10833 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * (K(y,z) * y). [para(15(a,1),10832(a,1,2,2)),flip(a)]. 10835 L(x \ y,x,K(y,z)) * (K(y,z) * x) = K(x \ T(y,z),x) * T(y,z). [para(5190(a,2),10833(a,2,2))]. 10836 L(x \ y,x,K(y,z)) * (K(y,z) * x) = (x \ T(y,z)) * x. [hyper(285,a,5101,a(flip),b,10835,a),flip(a)]. 10837 L(x \ y,x,K(y,z)) * (K(y,z) * x) = T((x \ y) * x,z). [hyper(285,a,4932,a,b,10836,a),flip(a)]. 10838 L(x \ y,x,K(y,z)) * (K(y,z) * x) != u | T((x \ y) * x,z) = u. [para(10836(a,2),4935(a,1))]. 10839 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),w / y) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10837(a,1,1,3))]. 10840 K(R(x / (x / y),y \ x,y),z \ (x / (x / y))) = K(y,T((x / (x / y)) * (z \ 1),x)). [hyper(285,a,8027,a(flip),b,6847,a),flip(a)]. 10841 K(x * K(y,x),z \ (y / (y / x))) = K(x,T((y / (y / x)) * (z \ 1),y)). [para(6181(a,1),10840(a,1,1))]. 10842 K(x,T((y / (y / x)) * (z \ 1),y)) = K(x,T(z \ (y / (y / x)),y)). [hyper(66,a,8027,a(flip),b,10841,a),flip(a)]. 10843 K(x,T(y \ (z / (z / x)),z)) = K(x,T(y \ x,z)). [hyper(66,a,9962,a(flip),b,10842,a),flip(a)]. 10845 K(x / (x / y),z \ (x / (x / y))) = K(y,T(z \ y,x)). [hyper(66,a,8046,a,b,10843,a)]. 10846 K((x / y) \ x,(x / y) \ (z \ x)) = K(y,T(z \ y,x)). [hyper(66,a,10616,a(flip),b,10845,a)]. 10847 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(66,a,626,a(flip),b,10846,a)]. 10849 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [hyper(66,a,9227,a(flip),b,10847,a)]. 10850 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(66,a,10486,a,b,10849,a)]. 10851 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [para(90(a,1),10850(a,1,2,2,1)),flip(a)]. 10852 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [para(10851(a,1),7986(a,1,1))]. 10854 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(66,a,7998,a(flip),b,10852,a)]. 10855 K(x,(y / z) \ x) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(10852(a,1),9644(a,1))]. 10856 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(66,a,9589,a(flip),b,10854,a)]. 10857 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,9481,a(flip),b,10854,a),flip(a)]. 10858 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(66,a,9391,a,b,10856,a)]. 10859 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(60,a,10856,a)]. 10860 K(x,((x * y) / z) \ x) = K(x,z / y). [para(14(a,1),10856(a,1,2,2)),flip(a)]. 10861 R(K(x,(y / (z / u)) \ x),z / u,u) = K(x,z / ((x \ y) * u)). [para(10856(a,1),6101(a,1,1))]. 10862 K(x,((y * x) / z) \ x) = K(x,z / y). [hyper(66,a,7595,a,b,10860,a)]. 10863 K(x,(y \ (x * z)) / z) = K(x,y \ x). [para(87(a,1),10860(a,1,2,1)),flip(a)]. 10864 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,T(y \ (x * z),y) / z). [para(4179(a,1),10860(a,1,2,1))]. 10865 K(x,(T((x * y) / z,u) \ (x * y)) \ x) = K(x,T(z \ (x * y),u) / y). [para(7653(a,1),10860(a,1,2,1))]. 10866 K(x,(y \ R(x,z,z \ 1)) / a(x,z,z \ 1)) = K(x,y \ x). [para(658(a,1),10863(a,1,2,1,2))]. 10867 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(10858(a,2),7682(a,2,1)),flip(a)]. 10868 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5760,a,10859,a)]. 10869 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(66,a,9602,a,b,10868,a)]. 10870 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(5046(a,1),10857(a,1,2,1))]. 10871 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(66,a,6640,a(flip),b,10870,a)]. 10872 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1245(a,1),10871(a,1,2)),flip(a)]. 10873 K(x,a(x,y,y \ 1) \ (z \ R(x,y,y \ 1))) = K(x,z \ x). [hyper(66,a,10535,a(flip),b,10866,a)]. 10874 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(9392,a,10867,a)]. 10875 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [hyper(124,a,10874,a(flip),b,5125,a(flip))]. 10876 T(x,T(y / (x \ z),u)) = T(x,T((z / y) \ x,u)). [hyper(5180,a,10875,a),flip(a)]. 10877 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(10875(a,1),5180(a,1))]. 10878 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(66,a,9273,a(flip),b,10876,a),flip(a)]. 10879 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(87(a,1),10878(a,1,2,1,1)),flip(a)]. 10880 K(x,(x * y) \ (T((x * y) / z,u) * x)) = K(x,T(z \ (x * y),u) / y). [hyper(66,a,6640,a(flip),b,10865,a)]. 10881 K(x,y \ (x \ (T((x * y) / z,u) * x))) = K(x,T(z \ (x * y),u) / y). [hyper(9141,a,10880,a)]. 10882 K(x,y \ T(T((x * y) / z,u),x)) = K(x,T(z \ (x * y),u) / y). [para(27(a,2),10881(a,1,2,2))]. 10883 K(x,T(y \ (x * z),u) / z) = K(x,z \ T((x * z) / y,u)). [hyper(66,a,8143,a(flip),b,10882,a),flip(a)]. 10884 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ T((x * z) / y,y)). [hyper(66,a,10864,a,b,10883,a)]. 10885 K(x,((y \ (x * z)) \ (x * z)) \ x) = K(x,z \ (y \ (x * z))). [para(118(a,1),10884(a,2,2,2))]. 10886 K(x,(x * y) \ ((z \ (x * y)) * x)) = K(x,y \ (z \ (x * y))). [hyper(66,a,6640,a(flip),b,10885,a)]. 10887 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(66,a,10850,a(flip),b,10886,a)]. 10888 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,10887,a),flip(a)]. 10889 K(x,L(K(y,z),u,w) * (v5 \ (x * L(K(z,y),u,w)))) = K(x,T(v5 \ x,L(K(z,y),u,w))). [para(6126(a,1),10888(a,1,2))]. 10890 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ (L(x,y,z) * L(K(x,w),v5,v6))). [hyper(66,a,8794,a(flip),b,10889,a),flip(a)]. 10891 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = (y * ((1 / x) * x)) \ (y * ((1 / x) * T(x,z))). [para(2671(a,1),6848(a,1,2))]. 10892 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,K(R(z,u,w),z)). [hyper(285,a,9008,a(flip),b,7388,a),flip(a)]. 10894 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * K(y,1). [para(5289(a,1),10892(a,2,2,2))]. 10895 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x * 1. [para(187(a,1),10894(a,2,2))]. 10897 R(x,K(y,z),L(R(z,u,w),K(y,z),x)) = x. [hyper(285,a,13,a(flip),b,10895,a),flip(a)]. 10899 R(x,K(y,z),R(z,u,w)) = x. [para(7383(a,1),10897(a,1,3))]. 10900 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10899,a)]. 10902 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(9344(a,2),10900(a,1,2))]. 10903 R(x,K(y,z),L(L(z,u,w),K(y,z),x)) = x. [hyper(285,a,16,a(flip),b,7389,a),flip(a)]. 10905 R(x,K(y,z),L(z,u,w)) = x. [para(7384(a,1),10903(a,1,3))]. 10906 x / (K(y,z) * L(z,u,w)) = (x / L(z,u,w)) * K(z,y). [hyper(66,a,7425,a(flip),b,10905,a)]. 10909 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7776(a,1),10905(a,1,2))]. 10910 x / (K(y,z) * L(T(z,u),w,v5)) = (x / L(T(z,u),w,v5)) * K(z,y). [hyper(66,a,7425,a(flip),b,10909,a)]. 10911 (((x * L(y,z,u)) * K(w,y)) / L(y,z,u)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [hyper(66,a,3247,a(flip),b,10906,a),flip(a)]. 10912 (x / L(T(y,z),u,y)) * K(y,z) = x / L(y,u,y). [para(9217(a,1),10910(a,1,2)),flip(a)]. 10913 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = (u / L(x,z,x)) * x. [para(10912(a,1),10320(a,2,1))]. 10914 T(x,y) * (L(T(x,y),z,T(x,y)) \ u) = x * (L(x,z,x) \ u). [hyper(285,a,9203,a(flip),b,10913,a),flip(a)]. 10916 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8961(a,1),10914(a,1,2,1))]. 10918 L(K(x * y,x) * K(x,K(z * y,x * y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7884(a,1),9367(a,1,1,2))]. 10919 K((x * (T(y,x * z) * z)) / u,T(y,x * z)) = K(u \ (L(y,z,x) * (x * z)),y). [hyper(285,a,9815,a(flip),b,9496,a),flip(a)]. 10920 K((x * (y * z)) / u,T(z,x * y)) = K(u \ (L(z,y,x) * (x * y)),z). [hyper(66,a,9721,a(flip),b,10919,a)]. 10921 K(x \ (L(y,z,u) * (u * z)),y) = K(x \ (u * (y * z)),y). [hyper(66,a,10599,a(flip),b,10920,a),flip(a)]. 10923 K((K(x,L(y,z,u) / w) * L(y,z,u)) / w,y) = K((x * (1 / (w / L(y,z,u)))) / x,y). [para(5708(a,1),9563(a,1,1,1,1))]. 10924 K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). [hyper(5770,a,10727,a)]. 10925 (x * K(y * x,x \ (y \ 1))) / (z \ x) = ((y \ (((y * x) \ 1) \ 1)) / x) * z. [para(6182(a,1),10778(a,1,1,2))]. 10927 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = ((x \ (((x * y) \ 1) \ 1)) / y) * z. [para(10774(a,1),10925(a,1,1))]. 10928 (x \ (((x * y) \ 1) \ 1)) / z != ((x \ (((x * y) \ 1) \ 1)) / y) * u | u \ y = z. [para(10927(a,1),48(a,1)),flip(a)]. 10929 (x \ (((x * y) \ 1) \ 1)) / (z \ y) = K(x * y,y \ (x \ 1)) * z. [para(10777(a,1),10927(a,2,1))]. 10930 K(x * y,y \ (x \ 1)) * (y * x) = ((y * x) \ 1) \ 1. [hyper(66,a,10794,a(flip),b,10929,a),flip(a)]. 10931 (x * y) * K(y * x,x \ (y \ 1)) = ((x * y) \ 1) \ 1. [hyper(66,a,6241,a(flip),b,10930,a)]. 10932 (((x * y) \ 1) \ 1) * K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,6068,a(flip),b,10930,a)]. 10933 (x * y) * ((y * x) * (1 / (x * y))) = ((y * x) \ 1) \ 1. [hyper(66,a,5880,a,b,10932,a)]. 10935 T(x * y,(y * x) \ 1) = ((x * y) \ 1) \ 1. [hyper(66,a,5885,a(flip),b,10933,a)]. 10936 ((x * y) \ 1) \ K(y,x) = ((y * x) \ 1) \ 1. [hyper(66,a,5876,a(flip),b,10935,a)]. 10937 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * ((1 / x) * T(x,z))). [para(89(a,1),10891(a,2,1))]. 10938 L(K(L(x,x \ 1,y),z),L(x,x \ 1,y),u) = y \ (y * K(x,z)). [para(5254(a,2),10937(a,2,2,2))]. 10939 K(L(x,x \ 1,y),z) = K(x,z). [hyper(344,a,10938,a),flip(a)]. 10940 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(66,a,8009,a(flip),b,10939,a),flip(a)]. 10941 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(66,a,7990,a(flip),b,10940,a),flip(a)]. 10942 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(10940(a,2),9140(a,1))]. 10944 L(K(x,y),K(z,x),u) = K(x,y). [hyper(66,a,8733,a(flip),b,10941,a)]. 10946 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [hyper(124,a,10944,a(flip),b,23,a(flip))]. 10947 L(R(K(x,y),z,u),K(w,x),v5) = R(K(x,y),z,u). [para(10944(a,1),34(a,1,1)),flip(a)]. 10948 (x * K(y,z)) * L(K(z,u),w,v5) = x * (K(y,z) * L(K(z,u),w,v5)). [para(10944(a,1),410(a,1,2,1))]. 10949 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(10944(a,1),411(a,1,2,1))]. 10952 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(32(a,2),10942(a,1,2))]. 10953 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(118(a,1),10942(a,1,1))]. 10954 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(118(a,1),10942(a,1,2))]. 10955 K(x,T(y,z)) != u | K((z * x) / z,y) = u. [para(208(a,1),10942(a,1,1))]. 10956 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(197(a,1),10942(a,1,1))]. 10958 K(x,T(y,K(z,z \ x))) != u | K(x,y) = u. [para(5617(a,1),10942(a,1,1))]. 10959 K(T(x,y),z \ y) != u | K(x,y / z) = u. [para(7697(a,1),10942(a,1))]. 10960 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7761(a,1),10942(a,1))]. 10961 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(10940(a,1),10942(a,1))]. 10962 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(118(a,1),10960(a,1,2,1))]. 10963 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(7694(a,1),10960(a,1))]. 10964 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7994(a,1),10960(a,1))]. 10965 K((x \ 1) * y,T(T(z,y),x)) != u | K((x \ 1) * y,z) = u. [para(8353(a,1),10960(a,1))]. 10966 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(169(a,1),10953(a,1,2))]. 10967 K((x \ y) \ 1,T(z,y)) != u | K(x / y,z) = u. [para(6468(a,2),10953(a,1))]. 10968 T(K(x \ y,z),x) != u | K(y / x,z) = u. [para(7681(a,1),10953(a,1))]. 10970 K(T(x,y) \ z,T(y,x)) != u | K(z / x,y) = u. [para(8270(a,2),10953(a,1))]. 10974 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(197(a,1),10959(a,1,1))]. 10975 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7761(a,1),10959(a,1))]. 10978 K(x,T(a(y,z,u),y * (z * u))) != w | K(x,((y * z) * u) / (y * (z * u))) = w. [para(19(a,2),10962(a,1,2,1))]. 10982 K(x \ (y * z),T(y,z)) != u | K((y * z) / x,y) = u. [para(7695(a,1),10963(a,1))]. 10983 K(x \ (y * z),T(y,z)) != u | K(z / (y \ x),y) = u. [para(9402(a,1),10963(a,1))]. 10988 K((L(x,y,z) * u) / w,T(x,u)) != v5 | K(w \ (L(x,y,z) * u),x) = v5. [para(9813(a,1),10964(a,1))]. 10989 K(x \ (y * (z * u)),z) != w | K(x \ (y * (u * z)),z) = w. [para(10590(a,1),10964(a,1))]. 10990 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(8067(a,1),10968(a,1))]. 10991 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(8907(a,2),10975(a,1))]. 10994 (x * (y * T(y \ z,u))) / (x * z) != w | K((x * z) / (x * y),u) = w. [para(5828(a,2),10990(a,1))]. 10996 K(x \ (x * y),z) != u | K(y,z) = u. [para(342(a,1),10961(a,1,1))]. 10997 K((x / y) \ x,z) != u | K(y,z) = u. [para(17(a,1),10996(a,1,1,2))]. 11000 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8013(a,1),10996(a,1))]. 11001 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(7994(a,1),10997(a,1))]. 11003 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(5149(a,1),11000(a,1,1))]. 11008 K(x,T(y,z / x)) != u | K(x,T(y,z)) = u. [para(8017(a,1),11001(a,1))]. 11009 (K(x,y) / x) * T(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(6516(a,2),11003(a,1))]. 11011 K((x \ y) * K(z,y / x),u) != w | K(x \ y,T(u,T(z,x))) = w. [para(8014(a,1),11003(a,1,1,2))]. 11018 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(8413(a,1),11008(a,1))]. 11019 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(10074(a,1),11018(a,1))]. 11020 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8246(a,2),11019(a,1))]. 11021 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(10086(a,1),11019(a,1))]. 11024 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(10947(a,1),7413(a,1,2)),flip(a)]. 11025 K(((x / y) * x) \ (y * (x / y)),z) != u | K(y / x,z) = u. [para(7813(a,2),10967(a,1))]. 11026 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7409,a,10946,a)]. 11027 R(x,K(y,z),K(z,u)) = x. [hyper(475,a,10946,a)]. 11030 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2229(a,2),10946(a,2,2))]. 11031 R(x / K(y,z),K(u,w),K(w,v5)) = x * K(z,y). [hyper(285,a,7396,a(flip),b,11027,a),flip(a)]. 11033 R(x,T(K(y,z),u),K(z,w)) = x. [para(1403(a,1),11027(a,1,2))]. 11034 (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). [para(11027(a,1),2528(a,1,1,1))]. 11037 R(x,K(y,z),L(K(z,u),w,v5)) = x. [para(5949(a,1),11027(a,1,3))]. 11038 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5981(a,1),11027(a,1,2))]. 11039 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6094(a,1),11027(a,1,3))]. 11040 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(6010(a,1),11033(a,1,3))]. 11041 R(x,K(y,z),L(K(z,u),w,v5)) != v6 | x = v6. [para(11037(a,1),54(a,2))]. 11042 R(x,K(y,z),L(R(K(z,u),w,v5),v6,v7)) = x. [para(6094(a,1),11037(a,1,3,1))]. 11043 (x / L(K(y,z),u,w)) \ (x * K(z,v5)) = L(K(y,z),u,w) * K(z,v5). [para(11038(a,1),463(a,1,1))]. 11044 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(11038(a,1),498(a,1,1))]. 11045 R(x,K(y,z),R(K(z,u),w,v5)) != v6 | x = v6. [para(11039(a,1),54(a,2))]. 11046 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(11040(a,1),847(a,1,1)),flip(a)]. 11047 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(11040(a,1),7373(a,1)),flip(a)]. 11049 R(R(x,y,(z * (y \ 1)) / z),K(u,w),K(w,v5)) = ((x * y) * ((z * (y \ 1)) / z)) * K(y \ 1,z). [para(5697(a,1),11031(a,1,1))]. 11050 L(K(x,y),K(z,y),u) = K(x,y). [hyper(7562,a,11026,a)]. 11051 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2229(a,2),11026(a,1,1,2))]. 11052 (x * K(y,z)) * K(u,z) = x * (K(y,z) * K(u,z)). [hyper(124,a,11050,a(flip),b,23,a(flip))]. 11053 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(11050(a,1),7413(a,1,2)),flip(a)]. 11054 T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). [hyper(224,a,11030,a,b,582,a)]. 11055 K(x * y,x) * (K(x,y) * z) = z * (K(x,y) * K(x * y,x)). [hyper(66,a,10757,a(flip),b,11030,a)]. 11056 (x * K(y,z)) * (K(y,u) * K(z,y)) = x * K(y,u). [para(7392(a,1),11030(a,1,1)),flip(a)]. 11057 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7403(a,1),11030(a,1,1)),flip(a)]. 11058 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(38,a,11026,a,b,11051,a(flip))]. 11061 (x * K(y,z)) * K(z,u) != w | x * (K(z,u) * K(y,z)) = w. [para(11051(a,1),7422(a,1,1))]. 11062 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(7347(a,1),11053(a,1,2))]. 11063 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(128,a,11056,a)]. 11064 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(390,a,11058,a)]. 11066 x / (K(y,z) * K(z,u)) != w | x * (K(z,y) * K(u,z)) = w. [para(11058(a,1),294(a,1,1)),flip(b)]. 11067 ((x * K(y,z)) * K(u,y)) * K(z,y) = x * K(u,y). [hyper(66,a,11052,a,b,11062,a)]. 11068 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7682(a,1),11063(a,1,1))]. 11069 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [hyper(7409,a,11067,a),flip(a)]. 11070 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(38,a,11051,a,b,11067,a),flip(a)]. 11071 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(11067(a,1),7417(a,1,1)),flip(a)]. 11072 ((x * K(y,z)) * K(z,u)) / z = (x * K(z,u)) / T(z,y). [hyper(123,a,11069,a(flip),b,7432,a)]. 11073 R(x,K(y,z),K(u,y)) = x. [hyper(475,a,11070,a)]. 11074 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3018(a,1),11070(a,1,1))]. 11080 R(K(x,y),z * y,u) != w | K(x,R(y,z,u)) = w. [para(9017(a,2),10952(a,1))]. 11081 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(7014(a,1),11080(a,1))]. 11083 K((x * y) / z,x) != u | K(y / (x \ z),x) = u. [para(8045(a,1),10983(a,1))]. 11084 K((x * T(y,z)) / u,y) != w | K(x / (y \ u),y) = w. [para(9724(a,1),10983(a,1))]. 11085 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [para(7761(a,1),11068(a,2,2))]. 11086 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7380,a,11071,a)]. 11087 ((x * K(y,z)) / z) * K(z,u) = (x * K(z,u)) / T(z,y). [hyper(66,a,6348,a(flip),b,11072,a)]. 11088 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7682(a,1),11085(a,1,2))]. 11089 (x * K(y,z)) * (y * K(u,y)) = x * (K(u,y) * T(y,z)). [hyper(285,a,7385,a(flip),b,11086,a),flip(a)]. 11090 (x * K(y,z)) / T(y,u) = (x / T(y,u)) * K(y,z). [para(7408(a,1),11087(a,1,1)),flip(a)]. 11091 x / (T(y,z) * K(u,y)) = (x / T(y,z)) * K(y,u). [hyper(66,a,7809,a(flip),b,11090,a)]. 11092 (x / y) * (K(y,z) * K(u,y)) = x / (T(y,u) * K(z,y)). [hyper(285,a,11057,a,b,11091,a)]. 11093 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [para(3193(a,2),11089(a,2,2))]. 11094 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [para(5670(a,1),11092(a,2,2))]. 11095 K(x \ (L(y,z,u) * (u * z)),y) != w | K(x \ (u * (z * y)),y) = w. [para(10921(a,2),10989(a,1))]. 11096 (K(x,y) / x) * T((y * x) / y,z) != u | K(x,T(z,y)) = u. [para(5149(a,2),11009(a,1,2,1))]. 11098 (x * K(y,z)) * K(u,y) != w | x * (K(y,z) * K(u,y)) = w. [para(11069(a,2),11061(a,1))]. 11099 (x * K(y,z)) * L(K(z,u),w,v5) = x * (L(K(z,u),w,v5) * K(y,z)). [para(2233(a,2),10948(a,2,2))]. 11100 (x * K(y,z)) * (K(z,y) * L(K(y,u),w,v5)) = x * L(K(y,u),w,v5). [para(7392(a,1),10948(a,1,1)),flip(a)]. 11101 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(123,a,7532,a(flip),b,11024,a)]. 11102 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = L(K(z,y),u,w) * K(y,v5). [para(7557(a,1),11043(a,1,1))]. 11103 (x * L(K(y,z),u,w)) \ (x * K(y,v5)) = K(y,v5) * L(K(z,y),u,w). [hyper(285,a,2238,a(flip),b,11102,a),flip(a)]. 11104 (x * (y \ T(y * z,u))) / (x * z) != w | K((x * z) / (x * (y \ 1)),u) = w. [para(838(a,1),10994(a,1,1,2))]. 11105 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7416,a,11044,a)]. 11106 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(285,a,2238,a(flip),b,11105,a),flip(a)]. 11107 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7392(a,1),11106(a,1,2)),flip(a)]. 11108 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(7587(a,1),11107(a,1,2))]. 11109 K(x,y) \ L(K(x,y),z,u) = a(u,z,K(y,x)). [hyper(5662,a,11108,a)]. 11110 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5452,a,11108,a)]. 11111 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2241,a,11108,a)]. 11112 (K(x,y) / z) * (z * K(y,x)) = a(K(x,y) / z,z,K(x,y)). [hyper(653,a,11108,a)]. 11113 (x * (y / x)) \ ((T(x,y) * (y / x)) * L(K(y,x),z,u)) = a(u,z,K(x,y)). [hyper(66,a,9753,a,b,11108,a)]. 11114 L(K(x,y),z,u) \ K(x,y) = a(u,z,K(x,y)). [hyper(66,a,6128,a,b,11108,a)]. 11115 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(124,a,11108,a(flip),b,6128,a)]. 11116 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [hyper(124,a,11108,a(flip),b,5514,a),flip(a)]. 11117 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5946(a,1),11108(a,1,2))]. 11118 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6653(a,1),11108(a,1,2))]. 11119 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(11108(a,1),6949(a,1,1)),flip(a)]. 11121 K(x,y) * L(K(y,x),z,u) != w | a(u,z,K(x,y)) = w. [para(11110(a,1),5453(a,1,2)),flip(b)]. 11123 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * (z * L(K(v5,x),w,u))). [para(11110(a,1),8300(a,1,2,2,2)),flip(a)]. 11124 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) = a(x,y,K(u,z)). [hyper(66,a,11044,a,b,11111,a)]. 11126 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6648(a,1),11111(a,1,1))]. 11127 K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). [para(6814(a,1),11115(a,1,1))]. 11128 T(x * L(K(y,x),z,u),y) = x * a(u,z,K(x,y)). [hyper(66,a,6881,a,b,11116,a)]. 11129 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(11118(a,1),5098(a,2,2))]. 11130 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(8734(a,1),11126(a,1,1)),flip(a)]. 11131 (x * K(y * L(K(z,y),u,w),z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(11128(a,1),6311(a,2,2))]. 11133 K(x,y) * K(L(y,z,u),x) != w | a(u,z * y,K(x,y)) = w. [para(6653(a,1),11121(a,1,2))]. 11134 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(66,a,10768,a,b,11119,a)]. 11135 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6127(a,1),11119(a,1,2)),flip(a)]. 11136 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(122,a,5360,a(flip),b,11135,a),flip(a)]. 11137 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(66,a,11134,a(flip),b,11136,a),flip(a)]. 11138 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11137(a,1),138(a,1))]. 11139 a(K(x,y) / z,z,K(x,y)) * (1 / (z * K(y,x))) = K(x,y) / z. [para(11112(a,1),7590(a,1,1))]. 11140 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = ((x / y) * y) \ (((x / y) * (y * K(x,z))) * K(z,x)). [hyper(285,a,5389,a,b,11124,a)]. 11141 L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5981(a,1),11117(a,1,1))]. 11142 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(285,a,11111,a(flip),b,11130,a),flip(a)]. 11144 a(x,y * K(z,u),K(u,w)) = a(x,y,K(u,w)). [para(7432(a,1),11142(a,1,2))]. 11146 a(x,y * K(z,u),K(z,w)) = a(x,y,K(z,w)). [para(7392(a,1),11144(a,1,2)),flip(a)]. 11147 a(x,T(y,K(z,u)),K(z,w)) = a(x,y,K(z,w)). [para(7888(a,1),11146(a,1,2))]. 11148 a(x,y,T(K(z,u),y)) = a(x,y,K(z,u)). [hyper(66,a,7946,a(flip),b,11147,a)]. 11150 a(K(x,y) / z,z,K(y,x)) * (K(x,y) / z) = 1 / (z * K(y,x)). [hyper(11138,a,11139,a)]. 11151 K(x,y * (z * a(u,w,K(x,v5)))) = K(x,y * z). [hyper(285,a,8274,a(flip),b,11123,a),flip(a)]. 11153 (K(x,y) * K(z,x)) \ 1 = K(y,x) * K(x,z). [hyper(4072,a,11064,a),flip(a)]. 11154 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(9873(a,1),11046(a,1,2)),flip(a)]. 11156 (x * (y / x)) \ (T(x,y) * ((y / x) * L(K(y,x),z,u))) = a(u,z,K(x,y)). [para(9400(a,1),11113(a,1,2))]. 11157 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(66,a,7849,a(flip),b,11129,a)]. 11158 x / T(x / y,L(T(y,y),z,u)) = y * a(u,z * y,K(y \ x,y)). [para(30(a,2),11157(a,1,2,2))]. 11159 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(115(a,1),11158(a,1,2,2,1))]. 11161 (x * K(y,z)) * (y * L(K(z,y),u,w)) = x * (y * a(w,u,K(y,z))). [para(8180(a,1),11131(a,1,1,2))]. 11163 L(K(x * y,x) * K(x,K(z * y,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7954(a,1),10918(a,1,1,2))]. 11164 L(K(x * y,x) * K(x,K(y * z,y)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(5785(a,1),11163(a,1,1,2,2))]. 11165 L(K(x * y,x) * K(x,K(y,y * z)),y,z) = (z * (T(x * y,x) / T(x,y))) / (z * y). [para(7908(a,1),11164(a,1,1,2))]. 11166 (x * (T(y * z,y) / T(y,z))) / (x * z) = L(K(y * z,y) * K(y,K(z,x)),z,x). [para(7879(a,1),11165(a,1,1,2)),flip(a)]. 11167 L(K(x * y,x) * K(x,K(y,z)),y,z) = (z * (x \ T(x * y,x))) / (z * y). [para(4495(a,1),11166(a,1,1,2)),flip(a)]. 11168 (x * (y \ T(y * z,y))) / (x * z) = L(K(y * z,T(y,x)),z,x). [para(8239(a,1),11167(a,1,1)),flip(a)]. 11169 L(K(x * y,T(x,z)),y,z) = K((z * y) / (z * (x \ 1)),x). [hyper(11104,a,11168,a),flip(a)]. 11170 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [para(7761(a,1),10924(a,1,1))]. 11171 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). [para(5955(a,1),11141(a,1,2))]. 11172 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). [para(5981(a,1),11171(a,2,3))]. 11173 (x / K(y,z)) * (K(y,z) * L(K(y,z) \ 1,u,w)) = (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y). [hyper(285,a,7396,a(flip),b,5356,a),flip(a)]. 11174 ((K(x,y) * R(K(y,z),u,w)) \ (v5 * (K(x,y) * R(K(y,z),u,w)))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)) = K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))). [para(10947(a,1),5916(a,1,1,1,2))]. 11175 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(x \ (x * y),u,w)) * K(y,z). [para(6353(a,1),6369(a,1,1,2,1,1)),flip(a)]. 11176 R(x,y,K(y,z)) * (R(y,u,w) * K(y,z)) = (x * R(y,u,w)) * K(y,z). [para(14(a,1),11175(a,2,1,2,1))]. 11177 (x * R(y,z,u)) * K(y,w) = x * (R(y,z,u) * K(y,w)). [para(6353(a,1),11176(a,1,1)),flip(a)]. 11178 K(x,(y \ z) \ R(x,u,w)) = K(x,z \ (y * R(x,u,w))). [hyper(6756,a,11177,a),flip(a)]. 11179 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * (R(x,y,x) * K(x,u)). [hyper(66,a,9539,a(flip),b,11177,a)]. 11180 R(x,y,x) * ((x \ z) * K(x,u)) = (z / x) * R(T(x,u),y,x). [para(9085(a,1),11179(a,2,2))]. 11181 T((x / y) * K((L(y,z,u) \ 1) \ (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(8200(a,1),6624(a,1,1,2))]. 11182 T(R(x,y,x),z) * (T(x,y) \ (x * y)) = T(x,y) \ ((T(x,z) * y) * T(x,y)). [para(5367(a,1),6771(a,1,1,1))]. 11183 R(T(x,y),z,x) * (T(x,z) \ (x * z)) = T(x,z) \ ((T(x,y) * z) * T(x,z)). [para(32(a,2),11182(a,1,1))]. 11184 T(x,y) \ ((T(x,z) * y) * T(x,y)) = R(T(x,z),y,x) * T(y,x). [para(4113(a,1),11183(a,1,2)),flip(a)]. 11185 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,T(x,z)). [hyper(308,a,11184,a),flip(a)]. 11186 R(T(x,y),z,x) * T(z,x) = T(T(x,y) * z,x). [hyper(285,a,7625,a(flip),b,11185,a),flip(a)]. 11187 T(T(T(x,y),z) * T(y,x),T(T(x,y),z)) = T(T(x,z) * y,x). [hyper(66,a,9926,a,b,11186,a)]. 11188 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(T(T(x,z) * y,x) \ u,T(x,y)). [para(11187(a,1),8589(a,1,1,1)),flip(a)]. 11189 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K((T(x,z) * y) \ u,T(x,y)). [hyper(285,a,8270,a(flip),b,11188,a),flip(a)]. 11190 K((T(T(x,y),z) * T(y,x)) \ u,T(x,y)) = K(u / (T(x,z) * y),x). [hyper(285,a,8832,a(flip),b,11189,a),flip(a)]. 11191 K(T(x,y) \ (T(y,x) \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9461,a(flip),b,11190,a)]. 11193 K(T(x,y) \ (y \ z),T(y,x)) = K(z / (T(y,u) * x),y). [hyper(66,a,9427,a(flip),b,11191,a)]. 11194 K(x / (T(y,z) * u),y) = K((y \ x) / u,y). [hyper(10970,a,11193,a),flip(a)]. 11196 K(x / (T(y,z) * u),y) = K(x / (u * y),y). [hyper(285,a,9603,a(flip),b,11194,a),flip(a)]. 11197 K((T(x,y) \ z) / u,x) = K(z / (u * x),x). [hyper(66,a,9666,a,b,11196,a)]. 11199 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,(((x * (y * x)) / x) * z) / ((u * y) * z)). [hyper(9140,a,7037,a),flip(a)]. 11201 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((x \ (x * (y * x))) * z) / ((u * y) * z)). [hyper(285,a,9477,a(flip),b,11199,a),flip(a)]. 11202 K(R(L(x,y,x),y,z),u \ L(x,y,x)) = K(x,((y * x) * z) / ((u * y) * z)). [para(14(a,1),11201(a,2,2,1,1))]. 11203 K(x,((y * x) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(66,a,10619,a(flip),b,11202,a),flip(a)]. 11206 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K(x,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(4664(a,2),7118(a,1,2,1,2,2))]. 11207 K(x,y * (((1 / z) * (K(u,w) * z)) * (u * (T(T(u,w),w) \ z)))) = K(x,y * ((z \ 1) \ K(w,u))). [para(6793(a,1),7315(a,1,2,2))]. 11208 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = R(K(x,u),w,v5) * (K(x,y) * (z * R(K(u,x),w,v5))). [para(9189(a,1),7536(a,2,2))]. 11209 K(T(x,y) \ 1,z) * K(x \ K(x,y),x * K(y,x)) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(5331(a,1),8282(a,1,2,2))]. 11210 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z * K(T(x,y),z),u)). [para(5999(a,1),8468(a,1,2,1)),flip(a)]. 11211 K(T(T(x,y) \ z,T(x,y)),T(z,u)) = K(T(x,y) \ z,T((x \ z) * T(x,z),u)). [hyper(285,a,8030,a(flip),b,11210,a)]. 11212 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6005,a(flip),b,11211,a),flip(a)]. 11213 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(T(x,y) \ z,z),u) / T(z,u). [hyper(285,a,5721,a,b,11212,a),flip(a)]. 11214 K(T(T(x,y),x \ 1),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [para(4129(a,1),8660(a,1,1))]. 11215 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K((x \ 1) \ 1,((x \ 1) * T(y,x)) / z). [hyper(9885,a,11214,a)]. 11216 K(T(x,y),z \ ((T(x,y) \ 1) * y)) = K(x,((x \ 1) * T(y,x)) / z). [hyper(285,a,3341,a(flip),b,11215,a),flip(a)]. 11218 K(T(x,y),z \ ((T(x,y) \ 1) * y)) != u | K(x,((x \ 1) * y) / z) = u. [para(11216(a,2),9558(a,1))]. 11219 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,y * x)) / z). [para(4228(a,1),8760(a,1,1,1)),flip(a)]. 11220 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * ((z * T(x,x * y)) / z). [para(4182(a,1),11219(a,2,2,1,2))]. 11221 T(((x * (y * x)) / x) / y,T(y,z)) = K(L(x,y,x),z) * T((z * x) / z,x * y). [para(425(a,1),11220(a,2,2))]. 11222 K(L(x,y,x),z) * T((z * x) / z,x * y) = T(L(x,y,x),T(y,z)). [para(4228(a,1),11221(a,1,1)),flip(a)]. 11223 K(L(x,y,x),z) * T((z * x) / z,x * y) = L(T(x,T(y,z)),y,x). [hyper(285,a,30,a,b,11222,a),flip(a)]. 11224 L(T(x,T(y,z)),y,x) = K(x,z) * T((z * x) / z,x * y). [para(9095(a,1),11223(a,1,1)),flip(a)]. 11225 L(T(x,T(y,z)),y,x) = T(x,T(x * y,z)). [hyper(285,a,8509,a(flip),b,11224,a),flip(a)]. 11227 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z)). [para(28(a,1),11225(a,1,1,2))]. 11228 L(T(x,T(T(y,z),u)),T(y,u),x) = T(x,T(x * T(y,u),z * y)). [para(9374(a,1),11225(a,1,1))]. 11229 T(x,T(x * T(y,z),u * y)) = T(x,T(x * T(y,z),u)). [hyper(66,a,11227,a(flip),b,11228,a),flip(a)]. 11230 K(x,T(x * T(y,z),u * y)) = x \ T(x,T(x * T(y,z),u)). [hyper(122,a,11229,a(flip),b,5130,a(flip)),flip(a)]. 11232 K(x,T(x * T(y,z),u * y)) != w | K(x,T(x * T(y,z),u)) = w. [para(11230(a,2),5208(a,1))]. 11233 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y / K((z * ((u \ 1) / z)) \ 1,x)). [para(7008(a,2),8900(a,2,2,2))]. 11234 (K(x,y) / x) * T((y * x) / y,z \ ((y \ (y * x)) * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(9450(a,1),9449(a,1,2))]. 11235 (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). [para(5152(a,1),9517(a,1,1))]. 11236 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(647,a,11235,a),flip(a)]. 11237 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11235(a,1),647(a,1))]. 11238 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5516(a,1),11236(a,1,2)),flip(a)]. 11239 K((x \ y) \ y,T(z \ (((x \ y) \ y) * u),K(w,v5))) = K((x \ y) \ y,T(z \ (u * T(x,x \ y)),K(v5,w))). [para(7940(a,1),9969(a,1,2))]. 11240 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(R(y \ 1,y,x),z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(3584(a,1),10221(a,1,2,2))]. 11241 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = T(y * (z * K(x \ y,x)),K(y,x)). [para(9102(a,1),10818(a,2,2))]. 11242 R(R(x \ (y / ((z * (x \ 1)) / z)),x,(z * (x \ 1)) / z),K(u,w),K(w,v5)) = (x * (((z * (x \ 1)) / z) * T(((z * (x \ 1)) / z) \ (x \ y),x))) * K(x \ 1,z). [para(1426(a,2),11049(a,2,1))]. 11243 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5334(a,1),11074(a,1,1,1))]. 11244 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = x \ (((x / y) * (y * K(x,z))) * K(z,x)). [para(17(a,1),11140(a,2,1))]. 11245 T(((x / y) * (y * K(x,z))) / T(x,z),x) = ((x / y) * (y * K(z,x))) \ ((z * x) / z). [hyper(285,a,7456,a,b,11244,a)]. 11246 (x * K(y,z)) * (K(z,y) * L(K(z,y) \ 1,u,w)) = (x * (K(z,y) * L(K(y,z),u,w))) * K(y,z). [para(7396(a,1),11173(a,1,1))]. 11247 T((x / y) * K(L(y,z,u) * (y \ x),y),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(9572(a,1),11181(a,1,1,2))]. 11248 T(x / T(y,L(y,z,u) * (y \ x)),L(y,z,u)) = L(y,z,u) \ (y \ (x * L(y,z,u))). [para(7403(a,1),11247(a,1,1))]. 11249 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = L(x,z,u) \ (x \ (y * L(x,z,u))). [para(7647(a,1),11248(a,1,1))]. 11250 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ (L(x,z,u) \ (y * L(x,z,u))). [hyper(285,a,1255,a(flip),b,11249,a),flip(a)]. 11251 T(L(x,x \ y,L(x,z,u)) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(27(a,2),11250(a,2,2))]. 11252 K(x,y * (((1 / z) * (K(x,u) * z)) * z)) = K(x,y * ((z \ 1) \ K(u,x))). [hyper(66,a,10830,a(flip),b,11207,a)]. 11253 K(x,y * (z * L(K(x,u),z,z \ 1))) = K(x,y * ((z \ 1) \ K(u,x))). [para(8496(a,1),11252(a,1,2,2))]. 11254 K(x,y * ((z \ 1) \ K(u,x))) = K(x,y * z). [hyper(66,a,8299,a(flip),b,11253,a),flip(a)]. 11256 K(x,y * (z \ K(u,x))) = K(x,y * (z \ 1)). [hyper(66,a,7144,a(flip),b,11254,a)]. 11257 K(T(x,y) \ 1,z) * K(T(x \ K(x,y),y),x) = T(x \ K(x,y),z) * (1 / (x \ K(x,y))). [para(8028(a,1),11209(a,1,2))]. 11258 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = K(T(x,y) \ 1,z) * K(x \ 1,x). [para(7763(a,1),11257(a,1,2)),flip(a)]. 11259 T(x \ K(x,y),z) * (1 / (x \ K(x,y))) = (x \ K(T(x,y) \ 1,z)) * x. [hyper(285,a,7059,a(flip),b,11258,a),flip(a)]. 11261 T(x \ K(x,y),z) * (x * K(y,x)) = (x \ K(T(x,y) \ 1,z)) * x. [para(5362(a,1),11259(a,1,2))]. 11262 K(x,y * K(((z \ 1) \ 1) \ K(u,x),(z \ 1) \ 1)) = K(x,y). [hyper(285,a,8135,a(flip),b,11233,a),flip(a)]. 11264 K(x,y * K(((z \ 1) \ 1) \ K(u,x),z)) = K(x,y). [para(4596(a,1),11262(a,1,2,2))]. 11265 K(x,y * K(z \ K(u,x),z)) = K(x,y). [para(4645(a,1),11264(a,1,2,2))]. 11267 K(x,y * (K(z,x) / u)) = K(x,y * (u \ K(z,x))). [para(6585(a,1),11265(a,1,2)),flip(a)]. 11268 K(x,y * (K(z,x) / u)) = K(x,y * (u \ 1)). [hyper(285,a,11256,a(flip),b,11267,a),flip(a)]. 11270 (K(x,y) / x) * T((y * x) / y,z \ (x * u)) = K(x,T(z \ (u * ((y * x) / y)),y)). [para(14(a,1),11234(a,1,2,2,2,1))]. 11271 K(x,T(y \ (z * ((u * x) / u)),u)) = K(x,T(y \ (x * z),u)). [hyper(11096,a,11270,a),flip(a)]. 11272 K((x * y) / x,z \ (u * ((x * y) / x))) = K(y,T(z \ (y * u),x)). [hyper(10955,a,11271,a)]. 11273 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),(1 / (x \ y)) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6746,a,b,11272,a)]. 11274 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(z,R(y \ 1,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(7940(a,1),11240(a,1,2))]. 11275 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2510(a,1),11243(a,1,1,2)),flip(a)]. 11276 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7401(a,1),11275(a,2,1))]. 11277 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(285,a,10751,a,b,11276,a),flip(a)]. 11278 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2515(a,1),11277(a,1,1,1))]. 11279 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5334(a,1),11278(a,1,1))]. 11280 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(285,a,7940,a,b,11279,a),flip(a)]. 11281 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2229(a,1),11280(a,1,2))]. 11282 (K(x,y) * z) * (K(y,x) * K(u,y)) != w | T(z * K(u,y),K(y,x)) = w. [para(11280(a,2),7953(a,1))]. 11283 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(123,a,11281,a(flip),b,5191,a)]. 11284 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = (x * K(z,y)) * (K(y,z) * L(K(z,y),u,w)). [para(5320(a,1),11246(a,1,2,2,1)),flip(a)]. 11285 (x * (K(y,z) * L(K(z,y),u,w))) * K(z,y) = x * L(K(z,y),u,w). [hyper(285,a,11100,a(flip),b,11284,a),flip(a)]. 11286 (x * L(K(y,z),u,w)) * K(z,y) = x * (K(z,y) * L(K(y,z),u,w)). [hyper(7409,a,11285,a)]. 11288 (1 / x) / (y \ T(1 / x,z)) = (x \ 1) / (y \ T(x \ 1,z)). [hyper(4796,a,6277,a),flip(a)]. 11290 (1 / x) / (((x \ 1) / (y * (x \ 1))) \ T(1 / x,y)) = (x \ 1) / ((x \ 1) * y). [para(7288(a,1),11288(a,2,2))]. 11291 (1 / x) / ((1 / x) * y) = (x \ 1) / ((x \ 1) * y). [para(7356(a,1),11290(a,1,2))]. 11292 (x \ 1) / ((x \ 1) * (x * y)) = (1 / x) / L(y,x,x \ 1). [para(2951(a,1),11291(a,1,2)),flip(a)]. 11293 (x * ((1 / (y * x)) * y)) \ ((1 / (y * x)) * y) = x \ 1. [hyper(66,a,2120,a(flip),b,7282,a),flip(a)]. 11295 (L(x,y,z) * ((1 / x) * (L(x,y,z) \ x))) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11293(a,1,1,2,1,2))]. 11296 K(x,y) * (K(y \ 1,y) * ((T(y,x) * (1 / y)) * z)) = L(z,((T(y,x) \ 1) * y) \ 1,(T(y,x) \ 1) * y). [hyper(285,a,5801,a,b,7555,a)]. 11297 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = L(z,T(x,y) * (1 / x),(T(x,y) \ 1) * x). [para(7554(a,1),7555(a,1,2)),flip(a)]. 11298 K(x / ((y \ 1) * z),y * K(y \ z,y)) = K((y \ L(z,y \ 1,y)) \ x,y). [para(6767(a,1),8517(a,1,2))]. 11299 K(T(x / ((y \ 1) * z),y \ z),y) = K((y \ L(z,y \ 1,y)) \ x,y). [hyper(66,a,8028,a(flip),b,11298,a)]. 11300 K(T(x / ((y \ 1) * z),y \ z),y) = K(((y \ 1) * z) \ x,y). [para(404(a,1),11299(a,2,1,1))]. 11301 K(T(x / ((y \ 1) * z),z),y) = K(((y \ 1) * z) \ x,y). [hyper(66,a,8251,a(flip),b,11300,a)]. 11302 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((T(x,y) \ 1) * y),x). [hyper(10942,a,11301,a),flip(a)]. 11303 K(((T(x,y) \ 1) * y) \ z,T(x,y)) = K(z / ((x \ 1) * y),x). [hyper(285,a,8924,a(flip),b,11302,a),flip(a)]. 11305 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7487,a,9423,a),flip(a)]. 11306 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). [para(5381(a,1),11305(a,1,2)),flip(a)]. 11307 T(x,y) \ T(T(x,y) * (K(y,x) * K(z,z \ x)),u) = T(z * (x / z),u) / T(T(x,y),z * (x / z)). [para(8463(a,1),4962(a,1,2,1,2))]. 11308 K(x \ (1 / y),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(7688(a,1),5886(a,1,1))]. 11309 K(x \ (y \ 1),T(x,y \ 1)) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(6697(a,1),11308(a,1,1))]. 11310 K(x \ (y \ 1),x) / ((x \ (1 / y)) * T(x,x \ (y \ 1))) = 1 / (x * ((1 / y) / x)). [para(4060(a,1),11309(a,1,1))]. 11311 K(x \ (y \ 1),x) / (x * (x \ (1 / y))) = 1 / (x * ((1 / y) / x)). [para(4855(a,1),11310(a,1,2))]. 11312 K(x \ (y \ 1),x) / (1 / y) = 1 / (x * ((1 / y) / x)). [para(15(a,1),11311(a,1,2))]. 11314 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),1 / (x * y)). [hyper(66,a,153,a(flip),b,6156,a),flip(a)]. 11316 a((x * y) \ 1,(x * y) / x,x) / x = 1 / L(x,y * K(x,y),(x * y) \ 1). [para(3645(a,1),11314(a,2,2))]. 11317 1 / L(x,y * K(x,y),(x * y) \ 1) = a((x * y) \ 1,y,x) / x. [para(10251(a,1),11316(a,1,1)),flip(a)]. 11318 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * ((y * x) \ y)) / y) \ 1,y). [para(15(a,1),6186(a,1,2,1,1,2)),flip(a)]. 11319 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(((y * x) \ y) \ 1,y). [para(6496(a,1),11318(a,2,2))]. 11320 (K(x,y) * (y * x)) * ((y * x) \ y) = y * K(x,y). [para(6482(a,1),11319(a,2,2))]. 11321 (x * y) * ((y * x) \ y) = y * K(x,y). [para(5146(a,1),11320(a,1,1))]. 11323 (x * (T(y \ 1,z) * y)) \ ((T(y \ 1,z) * y) * x) = K(K(y \ 1,z),K(y \ 1,y) * x). [para(6229(a,1),6227(a,1,1))]. 11324 K(K(x \ 1,y),K(x \ 1,x) * z) = K(T(x \ 1,y) * x,z). [hyper(310,a,11323,a),flip(a)]. 11326 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(T(y \ 1,x) * y,z). [hyper(66,a,7883,a(flip),b,11324,a)]. 11327 K(T(x \ 1,y) * x,z) = K(y,K(x \ 1,z)). [para(3121(a,1),11326(a,1,2)),flip(a)]. 11328 K(T(x \ 1,y) * x,z) = K(y,K(z,x \ 1)). [hyper(285,a,7908,a,b,11327,a),flip(a)]. 11331 (T(x \ 1,y) * x) * K(y,K(z,x \ 1)) = T(T(x \ 1,y) * x,z). [hyper(124,a,11328,a(flip),b,5125,a(flip))]. 11332 ((T(x \ 1,y) * x) * z) \ (z * (T(x \ 1,y) * x)) = K(K(x \ 1,x) * z,K(x \ 1,y)). [para(6229(a,1),6228(a,1,2))]. 11333 K(K(x \ 1,x) * y,K(x \ 1,z)) = K(y,T(x \ 1,z) * x). [hyper(310,a,11332,a),flip(a)]. 11335 K(x,K(y \ 1,K(y \ 1,y) * z)) = K(z,T(y \ 1,x) * y). [hyper(66,a,7859,a,b,11333,a)]. 11336 K(x,T(y \ 1,z) * y) = K(z,K(y \ 1,x)). [para(3121(a,1),11335(a,1,2)),flip(a)]. 11337 K(x,T(y \ 1,z) * y) = K(z,K(x,y \ 1)). [hyper(285,a,7908,a,b,11336,a),flip(a)]. 11340 (T(x \ 1,y) * x) * K(z,T(x \ 1,y) * x) = T(T(x \ 1,y) * x,z). [para(11337(a,2),11331(a,1,2))]. 11341 (x * (T(y \ 1,z) * y)) / x = T(T(y \ 1,z) * y,x). [hyper(5409,a,11340,a)]. 11342 T(x \ K(x,y),z) * ((y * x) / y) = T(T(x \ 1,z) * x,y). [hyper(66,a,7063,a,b,11341,a)]. 11343 T(x \ K(x,y),z) * (x * K(y,x)) = T(T(x \ 1,z) * x,y). [hyper(66,a,5370,a(flip),b,11342,a)]. 11344 (x \ K(T(x,y) \ 1,z)) * x = T(T(x \ 1,z) * x,y). [hyper(66,a,11261,a(flip),b,11343,a)]. 11345 T(T(x \ 1,y),K(y,z)) * x = T(T(x \ 1,y) * x,z). [hyper(9809,a,11344,a)]. 11346 T(T(x \ 1,x) * x,y) = T(x \ 1,x) * x. [para(1385(a,1),11345(a,1,1)),flip(a)]. 11347 x / (T(y \ 1,y) * y) = (T(y \ 1,y) * y) \ x. [para(11346(a,1),249(a,1,2))]. 11348 K((T((x \ y) \ 1,x \ y) * (x \ y)) \ (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(11347(a,1),9904(a,1,1))]. 11349 ((x * K(y,z)) * L((x * K(y,z)) \ x,u,w)) * y = (x * K(y,z)) * (y * L(K(z,y),u,w)). [para(14(a,1),6454(a,2,2,2,1))]. 11350 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L((x * K(y,w)) \ x,u,z). [hyper(123,a,11161,a(flip),b,11349,a)]. 11352 (x * (y * a(z,u,K(y,w)))) / y = (x * K(y,w)) * L(K(w,y),u,z). [para(7399(a,1),11350(a,2,2,1))]. 11353 (x * (y * a(z,u,K(y,w)))) / y = x * (L(K(w,y),u,z) * K(y,w)). [hyper(285,a,11099,a(flip),b,11352,a),flip(a)]. 11355 (x * (y * a(z,u,K(y,w)))) / y = x * a(z,u,K(y,w)). [para(11111(a,1),11353(a,2,2))]. 11356 (x * a(y,z,K(x,u))) / x = a(y,z,K(x,u)). [hyper(3747,a,11355,a)]. 11357 T(x,a(y,z,K(x,u))) = x. [hyper(250,a,11356,a)]. 11358 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(11357(a,1),7682(a,1,2,2)),flip(a)]. 11359 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(285,a,11137,a,b,11358,a)]. 11360 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11359(a,2),46(a,1))]. 11361 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1080(a,1),7244(a,2,1))]. 11362 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(66,a,11361,a(flip),b,7245,a),flip(a)]. 11363 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1080(a,1),11362(a,1,1)),flip(a)]. 11364 R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(7533(a,1),7543(a,1,1,1))]. 11365 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(T(x,y) * y,y)). [hyper(285,a,8100,a(flip),b,9037,a),flip(a)]. 11366 K(R(((T(x,y) * y) / x) \ (T(x,y) * y),z,u),T(x,y) * y) = K(R(x,z,u),T(x * y,y)). [hyper(285,a,6918,a(flip),b,11365,a),flip(a)]. 11367 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),T(x,u) * u). [para(90(a,1),11366(a,1,1,1)),flip(a)]. 11368 K(R(x,y,z),T(x * u,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11367,a),flip(a)]. 11369 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),T(x,u) * u). [para(9073(a,1),11368(a,1,2)),flip(a)]. 11370 K(R(x,y,z),x * L(u,x,u)) = K(R(x,y,z),x * u). [hyper(285,a,6837,a(flip),b,11369,a),flip(a)]. 11371 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,y \ (y * x)). [hyper(285,a,6404,a(flip),b,9146,a),flip(a)]. 11372 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),1 / ((y * x) \ y)) = K(x \ z,x). [para(14(a,1),11371(a,2,2))]. 11373 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),y \ (y * x)) = K(x \ z,x). [hyper(6548,a,11372,a)]. 11374 K((x * ((y * x) \ y)) \ ((1 / ((y * x) \ y)) \ z),x) = K(x \ z,x). [para(14(a,1),11373(a,1,2))]. 11375 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(66,a,9050,a(flip),b,11374,a)]. 11376 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (y * K(y * x,x)))). [para(103(a,1),9698(a,1,2)),flip(a)]. 11377 L(L(K(x * y,y),x,z),z * x,u) = L(K(y * L(x,z,u),y),L(x,z,u),u * z). [hyper(285,a,442,a(flip),b,11376,a)]. 11378 K((x / y) \ z,T(T((x / y) * ((u * ((x / y) \ z)) / u),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(11000,a,10814,a)]. 11379 K((x / y) \ z,T(T(((x / y) \ z) * (x / y),x),u)) = K((x / y) \ z,T(T(z,y),u)). [hyper(66,a,10324,a(flip),b,11378,a)]. 11380 K((x / y) \ z,T(T(z,y),u)) = K((x / y) \ z,T(T(z,x),u)). [hyper(66,a,6632,a(flip),b,11379,a),flip(a)]. 11381 (((x \ 1) * y) \ y) * T((x \ 1) * (y * K((x \ 1) \ 1,(x \ 1) * y)),x) = y * K((x \ 1) \ 1,(x \ 1) * y). [para(3341(a,2),11206(a,1,2,1,2,2))]. 11382 K(((1 / (x \ y)) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,7147,a(flip),b,11273,a)]. 11383 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7940(a,1),11283(a,1,1))]. 11384 T(x * (y / x),z) / T(T(y,u),x * (y / x)) = T(y,u) \ T(x * (y / x),z). [para(5618(a,1),11307(a,1,2,1)),flip(a)]. 11385 T(x * (y / x),z) / T(y,u) = T(y,u) \ T(x * (y / x),z). [para(4566(a,1),11384(a,1,2))]. 11387 K(x * K(y,z),(x / y) \ 1) = T(y,z) \ T(x * (y / x),z). [hyper(66,a,7065,a,b,11385,a)]. 11389 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(285,a,5615,a(flip),b,11387,a),flip(a)]. 11390 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(66,a,9777,a(flip),b,11389,a)]. 11391 (K(x,y) * z) * K(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(124,a,11390,a(flip),b,5125,a(flip))]. 11392 K(x,y) * T(z,z \ T(x,y)) = T(K(x,y) * z,z \ x). [hyper(6375,a,11391,a)]. 11393 K(x,y) * T(K(y,x) * z,z \ y) = T(z,z \ T(y,x)). [hyper(5452,a,11392,a)]. 11394 K(x,y) * T(K(y,x) * z,y / z) = T(z,z \ T(y,x)). [para(10214(a,2),11393(a,1,2))]. 11395 T(x * K(y,z),y / x) * K(z,y) = T(x,x \ T(y,z)). [hyper(7499,a,11394,a)]. 11396 T(x,x \ T(y,z)) * K(y,z) = T(x * K(y,z),y / x). [hyper(7409,a,11395,a)]. 11397 (x / y) * T(x * (y / x),z) = T(x * K(y,z),y / x). [hyper(66,a,6346,a(flip),b,11396,a)]. 11398 T(x * K(y * x,z),(y * x) / x) = (x / (y * x)) * T(x * y,z). [para(16(a,1),11397(a,1,2,1,2)),flip(a)]. 11399 (x / (y * x)) * T(x * y,z) = T(x * K(y * x,z),y). [para(16(a,1),11398(a,1,2)),flip(a)]. 11400 T(x * K(y * x,z),y) = T(x,y) * K(x * y,z). [hyper(66,a,7291,a(flip),b,11399,a),flip(a)]. 11401 T((x / y) * K(y * (x / y),z),y) = T(x / y,y) * K(x,z). [para(17(a,1),11400(a,2,2,1))]. 11402 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,z),K(x,y * z)). [para(11400(a,2),7941(a,1,2))]. 11403 T((x / y) * K(y * (x / y),z),y) = (y \ x) * K(x,z). [para(118(a,1),11401(a,2,1))]. 11404 T((x / y) * K(x,L(y,z,u)),y) = (y \ x) * K(x,L(y,z,u)). [para(6166(a,1),11403(a,1,1,2))]. 11405 T(T(x,L(y,z,u)) / y,y) = (y \ x) * K(x,L(y,z,u)). [para(9407(a,1),11404(a,1,1))]. 11406 (x \ y) * K(y,L(x,z,u)) = x \ T(y,L(x,z,u)). [hyper(630,a,11405,a),flip(a)]. 11407 K(x,y * z) * T(y * K(z * y,x),z) = T(T(y,K(z,x)),z). [hyper(285,a,8540,a(flip),b,11402,a),flip(a)]. 11408 K(x,y * z) * T(y * K(z * y,x),z) = T(y,T(z,x)). [hyper(285,a,8404,a(flip),b,11407,a),flip(a)]. 11409 K((((x \ y) \ 1) * ((z * u) / z)) * (x \ y),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(66,a,6695,a(flip),b,11382,a)]. 11410 K((x \ y) * (((x \ y) \ 1) * ((z * u) / z)),((x \ y) \ 1) * ((z * u) / z)) = K(u,T(y \ (u * x),z)). [hyper(8452,a,11409,a)]. 11411 K(L((x * y) / x,(z \ u) \ 1,z \ u),((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [para(242(a,1),11410(a,1,1))]. 11412 K((x * y) / x,((z \ u) \ 1) * ((x * y) / x)) = K(y,T(u \ (y * z),x)). [hyper(6657,a,11411,a)]. 11414 K((x * y) / x,((z \ u) \ 1) * (x \ (x * y))) = K(y,T(u \ (y * z),x)). [hyper(66,a,8162,a(flip),b,11412,a)]. 11415 K((x * y) / x,((z \ u) \ 1) * y) = K(y,T(u \ (y * z),x)). [para(14(a,1),11414(a,1,2,2))]. 11416 K(x,T(((y \ z) \ 1) * x,u)) = K(x,T(z \ (x * y),u)). [hyper(11000,a,11415,a)]. 11417 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (x * y),u)). [hyper(66,a,8752,a(flip),b,11416,a)]. 11418 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(285,a,10858,a(flip),b,11417,a),flip(a)]. 11419 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(14(a,1),11418(a,1,2,1,1)),flip(a)]. 11420 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(4197(a,1),11419(a,1,2,1)),flip(a)]. 11421 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(66,a,10404,a(flip),b,11420,a),flip(a)]. 11422 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(66,a,10860,a(flip),b,11421,a),flip(a)]. 11423 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(66,a,8421,a(flip),b,11422,a),flip(a)]. 11424 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) = K(x,T(w \ x,R(T(x,u),y,z))). [hyper(66,a,8643,a(flip),b,11423,a)]. 11426 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(11424(a,2),10956(a,1))]. 11428 (T(x * y,z) * L(u,y,x)) \ (T(x * y,z) * u) = L(a(x,y,u),x * (y * u),K(x * y,z)). [para(5219(a,1),6159(a,1,2))]. 11429 K(x * y,K(z,L(a(x,y,u),x * (y * u),K(x * y,w)))) = K(x * y,K(z,(T(x * y,w) * u) \ L(u,y,x))). [para(11428(a,1),10519(a,1,2,2))]. 11430 T(R(x,y,z) * K(u * R((1 / x) \ 1,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(6711(a,1),6830(a,1,1,2))]. 11431 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(285,a,7393,a(flip),b,6832,a),flip(a)]. 11432 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(285,a,11030,a(flip),b,11431,a),flip(a)]. 11433 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(1 / y,y,x) * R(R(1 / y,y,x) \ 1,z,u). [para(7285(a,1),7295(a,2,2,1,1))]. 11434 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R((1 / y) * R((1 / y) \ 1,z,u),y,x). [hyper(285,a,2570,a(flip),b,11433,a),flip(a)]. 11435 (T(x,y) * R(T(x,y) \ (x * y),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(1635(a,1),11434(a,2,1))]. 11436 (T(x,y) * R(T(y,x),z,u)) / (x * y) = R(R(y,z,u) / y,y,x). [para(4113(a,1),11435(a,1,1,2,1))]. 11437 (R(x,y,z) * T(u,x)) / (u * x) = R(R(x,y,z) / x,x,u). [para(4128(a,1),11436(a,1,1))]. 11438 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(9078(a,1),11437(a,1,1)),flip(a)]. 11439 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,T((x \ 1) * y,x) \ y) * (x \ 1)) * y. [para(5008(a,1),8808(a,2,1,1))]. 11440 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(u,y)),K(u,y),K(y,z)),K(y,z)). [para(216(a,1),9410(a,1,1)),flip(a)]. 11441 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = T(L(T(x,K(y,u)),K(u,y),K(y,z)),K(y,z)). [para(7940(a,1),11440(a,2,1,1))]. 11442 R(T(x,K(y,z) * K(u,y)),K(y,z),K(u,y)) = L(T(T(x,K(y,u)),K(y,z)),K(u,y),K(y,z)). [hyper(285,a,30,a,b,11441,a),flip(a)]. 11443 L(T(T(x,K(y,z)),K(y,u)),K(z,y),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11073,a(flip),b,11442,a),flip(a)]. 11445 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,u,y),y)) = ((R((z * y) / z,u,y) \ y) \ y) \ x. [para(10801(a,1),9459(a,1,1,2))]. 11446 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,z,y),y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(10902(a,1),11445(a,1,1))]. 11447 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(32(a,2),11446(a,1,2))]. 11448 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [para(255(a,1),11447(a,1,2,1))]. 11449 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),z,y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,10527,a(flip),b,11448,a)]. 11450 L(x,((T(y,z) \ 1) * y) \ 1,(T(y,z) \ 1) * y) = K(z,y) * (K(y,z) * x). [para(5417(a,1),11296(a,1,2)),flip(a)]. 11451 L(x,K(y,z),K(z,y)) = L(x,((T(u,w) \ 1) * u) \ 1,(T(u,w) \ 1) * u) # label(flip_matches_hint). [hyper(285,a,5461,a,b,11450,a)]. 11453 L(x,K(y,z),K(z,y)) = L(x,T(u,w) * (1 / u),(T(u,w) \ 1) * u) # label(flip_matches_hint). [para(7554(a,1),11451(a,2,2))]. 11454 L(x,T(y,z) * (1 / y),(T(y,z) \ 1) * y) = x. [hyper(5366,a,11453,a),flip(a)]. 11455 ((T(x,y) \ 1) * x) * ((T(x,y) * (1 / x)) * z) = z. [hyper(66,a,11297,a,b,11454,a)]. 11456 (T(x,y) * (1 / x)) \ z = ((T(x,y) \ 1) * x) * z. [hyper(303,a,11455,a),flip(a)]. 11458 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). [para(14(a,1),11306(a,2,1,1))]. 11459 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(285,a,9836,a(flip),b,11458,a),flip(a)]. 11461 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(14(a,1),11459(a,1,1,1))]. 11462 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(14(a,1),11461(a,1,2,2))]. 11463 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5981(a,1),11462(a,1,2,1,3))]. 11464 T(R(x,y,z) * K(u * R(x,y,z),R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(90(a,1),11430(a,1,1,2,1,2,1))]. 11465 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (K(z,x) * (x \ 1)) * y. [para(9933(a,1),11439(a,2,1,1))]. 11466 ((x \ 1) * y) * R(K(z,((1 / x) * y) \ y),x \ 1,y) = (T(x,z) \ 1) * y. [para(5144(a,1),11465(a,2,1))]. 11468 ((x \ 1) * y) * R(K(z,y \ ((1 / x) \ y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9781(a,1),11466(a,1,2,1))]. 11469 ((x \ 1) * y) * R(K(z,T(x / 1,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(9774(a,1),11468(a,1,2,1))]. 11470 ((x \ 1) * y) * R(K(z,T(x,y)),x \ 1,y) = (T(x,z) \ 1) * y. [para(86(a,1),11469(a,1,2,1,2,1))]. 11471 (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [para(4784(a,1),4882(a,1,1,2))]. 11472 (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). [para(5334(a,1),6266(a,1,1,2))]. 11473 K(T((x / y) / z,u),T((x / y) / z,u) \ 1) = K((z * y) \ x,x \ (z * y)). [hyper(285,a,5964,a(flip),b,7054,a),flip(a)]. 11474 K((x / y) / z,z / (x / y)) = K((z * y) \ x,x \ (z * y)). [hyper(5778,a,11473,a)]. 11475 K((x * y) \ z,z \ (x * y)) = K(x \ (z / y),(z / y) \ x). [hyper(8069,a,11474,a),flip(a)]. 11476 K(x \ (1 / y),(1 / y) \ x) = K(y \ (x \ 1),x * y). [hyper(66,a,10784,a(flip),b,11475,a),flip(a)]. 11477 (1 / x) * (1 / (1 / ((1 / x) \ y))) = y * K(x \ (y \ 1),y * x). [para(11476(a,1),2627(a,1,2)),flip(a)]. 11478 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(x \ ((y / x) \ 1),y). [para(17(a,1),11477(a,2,2,2))]. 11479 (1 / x) * (1 / (1 / ((1 / x) \ (y / x)))) = (y / x) * K(y \ 1,y). [para(10783(a,1),11478(a,2,2))]. 11480 x \ (1 / (1 / (x * (y / x)))) = (y / x) * K(y \ 1,y). [hyper(66,a,7306,a(flip),b,11479,a)]. 11482 x * (K(y \ 1,y) * (y / x)) = 1 / (1 / (x * (y / x))). [hyper(2418,a,11480,a)]. 11483 1 / (1 / (x * (y / x))) = x * ((1 / (1 / y)) / x). [para(3719(a,1),11482(a,1,2)),flip(a)]. 11484 K(T(x,y) \ z,T((T(x,y) \ z) * T(x,y),u)) = K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))). [hyper(11232,a,8856,a)]. 11485 K(T(x,y) \ z,T(z,u * T(x,(T(x,y) \ z) * x))) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,6629,a(flip),b,11484,a),flip(a)]. 11486 K(T(x,y) \ z,T(z,u * T(x,z))) = K(T(x,y) \ z,T(z,u)). [para(7643(a,1),11485(a,1,2,2,2))]. 11487 K(T(x,y) \ z,T(z,u * x)) = K(T(x,y) \ z,T(z,u)). [para(7639(a,1),11486(a,1,2))]. 11489 ((x * (y * z)) * L(u * (L(z \ 1,z,y) / u),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),9489(a,1,1,2))]. 11490 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(T(x,x \ y),u,w)). [hyper(285,a,9086,a(flip),b,10525,a),flip(a)]. 11492 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(x,u,w)). [hyper(285,a,10524,a(flip),b,11490,a),flip(a)]. 11494 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) = K(z \ R(x,u,w),R(T(x,x \ 1),u,w)). [para(5133(a,1),10795(a,2,2,1))]. 11497 K((T(x,y) \ z) \ (T(x,y) \ R(x,u,w)),R(x,u,w)) != v5 | K(z \ R(x,u,w),R(x,u,w)) = v5. [para(11494(a,2),6558(a,1))]. 11498 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,w))) = K(x,T(y \ (z * T(x,x \ 1)),K(w,u))). [hyper(285,a,3341,a(flip),b,11239,a),flip(a)]. 11499 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * T(x,x \ 1))). [hyper(285,a,7693,a(flip),b,11498,a),flip(a)]. 11500 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(u,x))) = K(x,y \ (z * x)). [hyper(285,a,7196,a(flip),b,11499,a),flip(a)]. 11501 K((x \ 1) \ 1,T(y \ (((x \ 1) \ 1) * z),K(x,u))) = K(x,y \ (z * x)). [para(7940(a,1),11500(a,1,2))]. 11502 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). [hyper(4885,a,11471,a)]. 11503 ((1 / R(x,y,z)) * K(x,u)) \ (K(x,u) * (R(x,y,z) \ 1)) = (R(x,y,z) \ K(x,u)) * (K(x,u) \ R(x,y,z)). [para(10900(a,1),11472(a,1,1))]. 11504 ((x * (y * z)) * L(L(u * ((z \ 1) / u),z,y),y * z,x)) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(5063(a,2),11489(a,1,1,2,1))]. 11505 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(5015,a,11502,a),flip(a)]. 11506 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3654,a,11505,a),flip(a)]. 11508 a(x,y,1 / z) = a(x,y,z \ 1). [para(1103(a,1),11506(a,1,3)),flip(a)]. 11510 (x * ((y * z) * L(u * ((z \ 1) / u),z,y))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11504(a,1,1))]. 11511 (x * (y * (z * (u * ((z \ 1) / u))))) \ (x * y) = K((x * (y * z)) \ (u \ (x * y)),u). [para(103(a,1),11510(a,1,1,2))]. 11512 (x * (y * K(z,u \ (z \ 1)))) \ (x * y) = K((x * (y * u)) \ (z \ (x * y)),z). [para(9289(a,1),11511(a,1,1,2,2))]. 11513 K((x * (y * z)) \ (u \ (x * y)),u) = L(K(z \ (u \ 1),u),y,x). [hyper(7563,a,11512,a),flip(a)]. 11514 K((x * (y * z)) \ (u \ (x * y)),u) = K(L(z * u,y,x) \ 1,u). [hyper(285,a,6897,a(flip),b,11513,a),flip(a)]. 11515 K(L(x * y,z,u) \ 1,y) = K(L(x,z,u) \ (y \ 1),y). [hyper(66,a,9656,a(flip),b,11514,a),flip(a)]. 11516 K(x \ L(x,y,z),((z * y) \ (z * (y * x))) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),6869(a,1,1,2))]. 11517 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ ((z * y) \ (z * (y * x))),a(z,y,x)). [para(23(a,2),11516(a,1,2,1))]. 11518 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(23(a,2),11517(a,2,1,2))]. 11519 (T(x,K(x * y,y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(5785(a,2),9368(a,1,1,1,2))]. 11520 K(x,T(y,R(x,z,u) * w)) = T(v5 * K(T(y,w),x),K(T(y,w),v6)) \ T(v5,K(T(y,w),v6)). [para(10335(a,1),10764(a,1,1,1,2)),flip(a)]. 11521 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [hyper(285,a,10761,a(flip),b,11520,a),flip(a)]. 11523 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(285,a,7968,a,b,11521,a),flip(a)]. 11524 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [para(15(a,1),11521(a,1,2,2)),flip(a)]. 11525 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(112(a,1),11521(a,1,2,2))]. 11526 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [hyper(66,a,8449,a,b,11524,a)]. 11528 K(x,T((y * R(x,z,u)) / w,w)) = K(x,(w / R(x,z,u)) \ y). [hyper(66,a,9520,a(flip),b,11526,a),flip(a)]. 11529 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(66,a,10440,a,b,11525,a)]. 11530 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K((x \ y) \ 1,T(z,(y / x) * u)). [para(5745(a,1),11525(a,1,2))]. 11531 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(118(a,1),11529(a,1,2)),flip(a)]. 11532 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8234,a,11523,a)]. 11533 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(15(a,1),11532(a,1,2,2)),flip(a)]. 11534 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(112(a,1),11532(a,1,2,2))]. 11535 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10120,a,b,11533,a)]. 11536 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(90(a,1),11535(a,1,2,2)),flip(a)]. 11537 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(66,a,10118,a(flip),b,11536,a),flip(a)]. 11538 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(11537(a,1),10149(a,1,2))]. 11539 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(66,a,7881,a,b,11534,a)]. 11540 K(x,K(y,(y * z) * u)) = K(x,K(y,z * u)). [hyper(285,a,7881,a,b,11539,a),flip(a)]. 11541 K(x,K(y,(y * x) * z)) = K(x,K(y,z)). [hyper(285,a,7935,a(flip),b,11539,a),flip(a)]. 11542 R((K(x,K(y,z)) * u) / (K(x,y) \ u),y * x,z) = ((y * x) * z) \ ((x * y) * z). [para(11541(a,1),8478(a,1,1,1,1))]. 11543 K(x,K(y,(z * y) * u)) = K(x,K(y,z * u)). [para(8277(a,2),11540(a,1,2))]. 11545 K(x,(y / R(x,z,u)) \ w) = K(x,y \ (w * R(x,z,u))). [para(118(a,1),11528(a,1,2)),flip(a)]. 11546 K(x,(R(x,y,z) \ u) \ w) = K(x,u \ (w * R(x,y,z))). [hyper(66,a,8224,a(flip),b,11545,a)]. 11547 K(x,y \ (R(x,z,u) * w)) = K(x,y \ (w * R(x,z,u))). [hyper(66,a,9536,a(flip),b,11546,a)]. 11548 K(x,y \ ((z * u) * R(x,z,u))) = K(x,y \ ((x * z) * u)). [para(112(a,1),11547(a,1,2,2)),flip(a)]. 11549 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7884(a,1),11538(a,1,2))]. 11551 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(10078(a,1),11549(a,2,1))]. 11552 K((x \ y) \ 1,T(z,K(x,x \ y) * u)) = K(y \ x,T(z,(y / x) * u)). [hyper(285,a,6468,a(flip),b,11530,a),flip(a)]. 11553 K(x \ y,T(z,(x / y) * u)) = K((y \ x) \ 1,T(z,u)). [hyper(66,a,10147,a(flip),b,11552,a),flip(a)]. 11555 K(x \ y,T(z,(x / y) * u)) = K(x \ y,T(z,u)). [hyper(285,a,6468,a(flip),b,11553,a),flip(a)]. 11556 K(x \ y,T(z,u * (x / y))) = K(x \ y,T(z,u)). [hyper(66,a,9786,a(flip),b,11555,a)]. 11557 K(((x / y) * x) \ (y * (x / y)),T(z,u * (y \ x))) = K(((x / y) * x) \ (y * (x / y)),T(z,u)). [para(4287(a,1),11556(a,1,2,2,2))]. 11558 ((x * y) * z) \ ((y * x) * z) = R(T(K(y,x),z),x * y,z). [para(7875(a,1),11542(a,1,1)),flip(a)]. 11559 R(T(K(x,y),z),y * x,z) = K((((y * x) * z) \ (y * z)) \ 1,y). [hyper(66,a,7101,a,b,11558,a),flip(a)]. 11560 R(T(K(x,y),z),y * x,z) = K((y * z) \ ((y * x) * z),y). [hyper(285,a,6468,a(flip),b,11559,a),flip(a)]. 11561 R(T(K(x,y),z),y * x,z) = K(R(T(x,z),y,z),y). [hyper(285,a,9848,a(flip),b,11560,a),flip(a)]. 11562 ((x * y) * z) \ ((y * x) * z) = K(R(T(y,z),x,z),x). [hyper(66,a,11558,a,b,11561,a)]. 11563 ((x * y) * z) \ ((y * x) * z) = K(R(y,x,z),T(x,z)). [hyper(285,a,7772,a(flip),b,11562,a),flip(a)]. 11564 K(((x / y) * x) \ (y * (x / y)),T(z,u)) = K(y / x,T(z,u * (y \ x))). [hyper(11025,a,11557,a),flip(a)]. 11565 K(x / y,T(z,u * (x \ y))) = K(x / y,T(z,u)). [hyper(11025,a,11564,a),flip(a)]. 11566 L(x \ L(y,z,u),x,K(L(y,z,u),y \ w)) * (K(L(y,z,u),y \ w) * x) = T((x \ L(y,z,u)) * x,w / y). [para(8518(a,1),10839(a,1,2,1))]. 11567 K(x * y,K(z,(T(x * y,u) * w) \ L(w,y,x))) = K(z,K(x * y,a(x,y,w))). [hyper(66,a,9200,a(flip),b,11429,a),flip(a)]. 11569 K(x,K(y * z,(T(y * z,u) * w) \ L(w,z,y))) = K(x,K(y * z,a(y,z,w))). [hyper(66,a,7881,a,b,11567,a)]. 11570 K(x,K(y * z,u \ ((y * z) \ L(u,z,y)))) = K(x,K(y * z,a(y,z,u))). [para(10499(a,1),11569(a,1,2))]. 11571 K(x,K(y * z,u \ L(u,z,y))) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,10496,a(flip),b,11570,a)]. 11572 (T(x,K(y,x * y)) * z) \ ((T(y * x,y) / T(y,x)) * z) = R(T(K(y * x,y),x * z),T(x,K(y * x,y)),z). [para(7940(a,1),11519(a,1,1,1))]. 11573 T((x \ L(y,z,u)) * x,w / y) = T((x \ L(y,z,u)) * x,y \ w). [hyper(10838,a,11566,a),flip(a)]. 11575 T((x \ L(y,y \ z,y)) * x,y \ T(z,y)) = T((x \ y) * x,z). [hyper(66,a,9811,a(flip),b,11573,a),flip(a)]. 11576 L(T((x \ y) * x,y \ T(z,y)),y \ z,y) = T((x \ y) * x,z). [hyper(66,a,5064,a,b,11575,a)]. 11577 L(T((x \ y) * x,y \ z),y \ z,y) = T((x \ y) * x,z). [para(8600(a,1),11576(a,1,1))]. 11578 x * T((y \ z) * y,x) = z * (((y \ z) * y) * (z \ x)). [hyper(124,a,11577,a(flip),b,650,a(flip))]. 11579 x * (((y \ x) * y) * (x \ z)) = ((y \ x) * y) * z. [hyper(263,a,11578,a),flip(a)]. 11580 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((T(x * y,x) / T(x,y)) * z). [para(7952(a,1),11572(a,1,1,1)),flip(a)]. 11581 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(x * y,x)) * z). [para(9263(a,1),11580(a,2,2,1))]. 11582 R(T(K(x * y,x),y * z),T(y,K(x * y,x)),z) = (y * z) \ ((y * K(y * x,x)) * z). [para(5785(a,2),11581(a,2,2,1,2))]. 11583 R(T(K(x * y,y),x * z),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(5785(a,2),11582(a,1,1,1))]. 11584 R(K(x * y,T(y,x * z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(7681(a,2),11583(a,1,1))]. 11585 R(K(x * y,T(y,z)),T(x,K(y * x,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(10145(a,1),11584(a,1,1))]. 11586 R(K(x * y,T(y,z)),T(x,K(y,y)),z) = (x * z) \ ((x * K(x * y,y)) * z). [para(8538(a,1),11585(a,1,2))]. 11587 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),T(x,1),y). [para(165(a,1),11586(a,1,2,2)),flip(a)]. 11589 (x * y) \ ((x * K(x * z,z)) * y) = R(K(x * z,T(z,y)),x,y). [para(186(a,1),11587(a,2,2))]. 11590 L(K(T(x,y) * z,z),T(x,y),y) = R(K(x * z,T(z,y)),x,y). [hyper(66,a,10732,a,b,11589,a)]. 11591 L(K(x * T(y,z),x),T(y,z),z) = R(K(y * x,T(x,z)),y,z). [para(5785(a,1),11590(a,1,1))]. 11592 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R((y * K(z,y)) \ y,u,w). [para(6335(a,1),6455(a,2,2,1,1))]. 11593 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = (y * K(z,y)) * R(K(y,z),u,w). [para(5346(a,1),11592(a,2,2,1))]. 11596 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = (L(K(x,y),z,u) * K(x,x \ 1)) / L(K(x,y),z,u). [para(4069(a,1),6610(a,2,1))]. 11597 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = z * L(T(K(x,u),z),w,v5). [para(15(a,1),6811(a,2,2,1,2))]. 11598 K(x,y) * ((K(x,y) \ z) * L(T(K(x,u),K(x,y) \ z),w,v5)) = L(K(x,u),w,v5) * z. [hyper(285,a,222,a(flip),b,11597,a),flip(a)]. 11599 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(222(a,1),11598(a,1,2))]. 11600 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5334(a,1),11599(a,1,2,2))]. 11601 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). [hyper(285,a,2586,a(flip),b,11600,a),flip(a)]. 11602 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4330(a,1),8766(a,2,2,1))]. 11603 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4182(a,1),11602(a,2,2,2,1))]. 11604 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(9095(a,1),11603(a,2,2))]. 11605 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(8150(a,1),11604(a,2,2))]. 11607 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(285,a,5435,a(flip),b,11605,a),flip(a)]. 11609 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4330(a,1),11607(a,1,1))]. 11610 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4330(a,1),11609(a,1,2,2))]. 11611 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4328(a,1),11610(a,1,1))]. 11612 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4328(a,1),11611(a,1,2,2))]. 11613 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(16(a,1),11612(a,2,2))]. 11614 (K(x,T(y,z)) * u) * (K(y,w) * K(y,K(w,K(x,T(y,z)) * u))) = (K(u,K(y,w)) * (K(x,T(y,z)) * u)) * K(y,w). [para(7884(a,2),8965(a,1,2,2))]. 11615 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). [para(1905(a,1),9838(a,1,1))]. 11616 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(124,a,9541,a(flip),b,11615,a)]. 11617 (K(x,y) / R(x,z,u)) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(11616(a,1),11503(a,1,1))]. 11618 (K(x,y) / R(x,z,u)) \ (R(x,z,u) \ K(x,y)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). [para(6265(a,1),11617(a,1,2))]. 11619 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1109,a,11618,a)]. 11620 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(285,a,5334,a(flip),b,11619,a),flip(a)]. 11621 R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = K(w,x) * R(x,y,R(x,z,u)). [hyper(66,a,9522,a,b,11620,a)]. 11622 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3248,a,11621,a),flip(a)]. 11623 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(10952,a,11622,a),flip(a)]. 11625 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(10942,a,11623,a),flip(a)]. 11628 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = T(K(x,x \ 1),L(K(x,y),z,u)). [hyper(285,a,7977,a(flip),b,11596,a),flip(a)]. 11629 T(K((1 / x) \ L(K(x,y),z,u),1 / x),L(K(x,y),z,u)) = K(x,x \ 1). [hyper(285,a,6009,a(flip),b,11628,a),flip(a)]. 11632 T(K(x * L(K(x,y),z,u),x \ 1),L(K(x,y),z,u)) = K(x,x \ 1). [para(4658(a,1),11629(a,1,1))]. 11633 K(x * L(K(x,y),z,u),x \ 1) = K(x,x \ 1). [hyper(66,a,6009,a(flip),b,11632,a)]. 11636 (1 / (L(K(x,y),z,u) / y)) * K(y,y \ 1) = y * L(K(y,x),z,u). [para(11633(a,1),7113(a,1,2))]. 11637 K(x,x \ 1) / (L(K(y,x),z,u) / x) = x * L(K(x,y),z,u). [hyper(66,a,3675,a(flip),b,11636,a)]. 11639 1 / (x \ L(K(y,x),z,u)) = x * L(K(x,y),z,u). [hyper(66,a,5989,a(flip),b,11637,a)]. 11640 (K(x,K(y,z)) * (K(u,T(y,w)) * x)) * K(y,z) = (K(u,T(y,w)) * x) * (K(y,z) * K(x,K(y,z))). [para(8311(a,1),11614(a,1,2,2)),flip(a)]. 11641 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(38,a,7394,a(flip),b,11640,a),flip(a)]. 11643 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(8390,a,11641,a)]. 11644 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(7953,a,11643,a)]. 11645 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(11644(a,2),46(a,1))]. 11646 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((K(y \ 1,y) / (x * y)) * ((((x * y) / x) \ 1) \ 1)) \ 1. [para(2451(a,1),4989(a,2,1,2))]. 11647 (x * ((1 / y) * (y / x))) * K(((1 / y) * (y / x)) \ 1,a(1 / y,y / x,x)) = x / (1 / ((1 / y) * (y / x))). [para(2782(a,1),7208(a,1,1))]. 11648 x / (1 / ((1 / y) * (y / x))) = (x * ((1 / y) * (y / x))) * 1. [para(10557(a,1),11647(a,1,2)),flip(a)]. 11649 x / (1 / ((1 / y) * (y / x))) = x * ((1 / y) * (y / x)). [hyper(285,a,13,a(flip),b,11648,a),flip(a)]. 11651 (x * ((1 / y) * (y / x))) \ x = 1 / ((1 / y) * (y / x)). [hyper(180,a,11649,a)]. 11652 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = (((1 / x) * (x / y)) * y) \ y. [para(11651(a,1),4837(a,1,1))]. 11653 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = a(x \ 1,x / y,y) \ y. [para(3938(a,1),11652(a,2,1))]. 11654 R(1 / ((1 / x) * (x / y)),(1 / x) * (x / y),y) = L(y,x / y,x \ 1). [hyper(285,a,3940,a(flip),b,11653,a),flip(a)]. 11655 R(1 / (a((x * y) \ 1,y,x) / x),(1 / (x * y)) * ((x * y) / x),x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11654(a,1,1,2))]. 11656 R(1 / (a((x * y) \ 1,y,x) / x),a((x * y) \ 1,y,x) / x,x) = L(x,(x * y) / x,(x * y) \ 1). [para(10252(a,1),11655(a,1,2))]. 11657 L(x,(x * y) / x,(x * y) \ 1) = x / a((x * y) \ 1,y,x). [hyper(66,a,369,a(flip),b,11656,a),flip(a)]. 11658 L(x,y * K(x,y),(x * y) \ 1) = x / a((x * y) \ 1,y,x). [para(5149(a,1),11657(a,1,2))]. 11659 1 / (x / a((x * y) \ 1,y,x)) = a((x * y) \ 1,y,x) / x. [para(11658(a,1),11317(a,1,2))]. 11660 (K(x,y) * z) * R((K(x,y) * z) \ (T(T(x,y),T(u,y)) * z),w,v5) = (R(T(x,u),w,v5) * K(x,y)) * z. [hyper(285,a,473,a(flip),b,10329,a),flip(a)]. 11661 (K(x,y) * R(K(x,y) \ T(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [hyper(66,a,1532,a(flip),b,11660,a)]. 11662 (K(x,y) * R(T(T(x,y),T(z,y)) * K(y,x),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5447(a,1),11661(a,1,1,2,1))]. 11663 (K(x,y) * R(x * K(T(x,y),T(z,y)),u,w)) * v5 = (R(T(x,z),u,w) * K(x,y)) * v5. [para(5853(a,1),11662(a,1,1,2,1))]. 11664 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(8004(a,1),11663(a,1,1,2,1)),flip(a)]. 11665 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(66,a,4458,a(flip),b,11664,a),flip(a)]. 11667 (K(x,y) \ (R(T(x,z),u,w) * (K(x,y) * v5))) / (K(x,y) \ (R(T(x,z),u,w) * v5)) = R(K(x,y),R(T(x,z),u,w),v5). [para(11665(a,1),1167(a,2,1,2)),flip(a)]. 11668 (K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5))) / (K(y,x) \ (R(T(y,z),u,w) * v5)) = R(K(y,x),R(T(y,z),u,w),v5). [para(5334(a,1),11667(a,1,1))]. 11669 (R(T(x,y),z,u) * w) / (K(x,v5) \ (R(T(x,y),z,u) * w)) = R(K(x,v5),R(T(x,y),z,u),w). [para(9936(a,1),11668(a,1,1))]. 11670 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(297,a,11669,a)]. 11673 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(66,a,6100,a(flip),b,11670,a)]. 11674 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(285,a,7800,a(flip),b,11673,a),flip(a)]. 11676 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(66,a,9999,a(flip),b,11674,a),flip(a)]. 11678 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(285,a,9764,a(flip),b,11676,a),flip(a)]. 11679 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(10974,a,11678,a)]. 11681 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(T(x,x \ y),y,x),u,w)). [hyper(66,a,9086,a(flip),b,10526,a),flip(a)]. 11683 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(L(K(x,x \ y),u,y),z). [para(10705(a,1),10709(a,1,2,1)),flip(a)]. 11684 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,L(z,u,y))). [para(10180(a,1),11683(a,2,2))]. 11685 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x,x \ y),u,y) \ K(x,K(y,z)). [para(9102(a,1),11684(a,2,2,2))]. 11686 R(K(x,x \ y) * K(z,K(x,x \ y)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [hyper(285,a,6126,a(flip),b,11685,a),flip(a)]. 11688 R(K(x,T(x \ y,z)),u,T(y,u)) \ 1 = L(K(x \ y,x),u,y) * K(x,K(y,z)). [para(7996(a,1),11686(a,1,1,1))]. 11689 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x,T(x \ y,u)),z,y) \ 1. [para(10716(a,1),11688(a,1,1)),flip(a)]. 11690 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(T(x \ y,u),x),z,y) * 1. [hyper(285,a,6126,a(flip),b,11689,a),flip(a)]. 11691 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y) * 1. [para(7761(a,1),11690(a,2,1,1))]. 11692 L(K(x \ y,x),z,y) * K(x,K(y,u)) = L(K(x \ y,T(x,u)),z,y). [hyper(285,a,13,a(flip),b,11691,a),flip(a)]. 11693 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = L(K(x,x \ y),u,y) \ 1. [para(11692(a,1),9763(a,1,2))]. 11695 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) != w | L(K(x \ y,x),u,y) = w. [para(11693(a,2),6036(a,1))]. 11696 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(z,x),v5,v6),u,w). [para(5320(a,1),11601(a,2,1,2,1))]. 11697 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(11108(a,1),11696(a,2,1))]. 11698 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(z,x),u,w),v5,v6))) = L(a(v6,v5,K(x,z)),u,w). [para(6032(a,1),11697(a,1,2,2,2,1))]. 11699 L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = L(a(v5,w,K(x,y)),z,u). [hyper(66,a,11600,a(flip),b,11698,a)]. 11700 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(66,a,11172,a(flip),b,11699,a)]. 11701 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [para(6374(a,1),11700(a,1,3)),flip(a)]. 11702 a(x,y,a(z,u,K(y,w))) = 1. [hyper(56,a,11701,a)]. 11703 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((((x * y) / x) \ 1) \ K(y \ 1,y))) \ 1. [para(4990(a,1),11646(a,2,1))]. 11704 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) * (1 / y)) \ 1)) \ 1. [para(9805(a,1),11703(a,2,1,2))]. 11705 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * ((K(y,x) / y) \ 1)) \ 1. [para(6518(a,1),11704(a,2,1,2,1))]. 11706 L(x,(x * ((y \ 1) \ 1)) / x,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(6512(a,1),11705(a,2,1,2))]. 11707 L(x,(((x * y) / x) \ 1) \ 1,K(y \ 1,y) / (x * y)) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [para(2451(a,1),11706(a,1,2))]. 11708 L(x,(((x * y) / x) \ 1) \ 1,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,5003,a(flip),b,11707,a)]. 11710 L(x,(x * y) / x,(x * y) \ 1) = ((1 / (x * y)) * (y * K(x,y))) \ 1. [hyper(66,a,7072,a(flip),b,11708,a)]. 11711 ((1 / (x * y)) * (y * K(x,y))) \ 1 = x / a((x * y) \ 1,y,x). [hyper(66,a,11657,a(flip),b,11710,a),flip(a)]. 11712 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = x / a((x * y) \ 1,y,x). [para(10259(a,1),11711(a,1,1))]. 11713 R((x / L(K(y,z),u,w)) * K(y,z),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(5320(a,1),7542(a,1,1,1,2,1))]. 11714 R((x * L(K(y,z),u,w)) * K(z,y),K(y,z),L(K(y,z) \ 1,u,w)) = x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)). [para(7557(a,1),11713(a,1,1,1))]. 11715 R(x * (K(y,z) * L(K(z,y),u,w)),K(z,y),L(K(z,y) \ 1,u,w)) = x / ((1 / K(z,y)) \ L(1 / K(z,y),u,w)). [para(11286(a,1),11714(a,1,1))]. 11716 R(x * a(y,z,K(u,w)),K(w,u),L(K(w,u) \ 1,z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(11108(a,1),11715(a,1,1,2))]. 11717 R(x * a(y,z,K(u,w)),K(w,u),L(K(u,w),z,y)) = x / ((1 / K(w,u)) \ L(1 / K(w,u),z,y)). [para(5320(a,1),11716(a,1,3,1))]. 11718 x / ((1 / K(y,z)) \ L(1 / K(y,z),u,w)) = x * a(w,u,K(z,y)). [hyper(11041,a,11717,a),flip(a)]. 11720 x / (K(y,z) \ L(1 / K(z,y),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11718(a,1,2,1))]. 11721 x / (K(y,z) \ L(K(y,z),u,w)) = x * a(w,u,K(y,z)). [para(5344(a,1),11720(a,1,2,2,1))]. 11722 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [para(11109(a,1),11721(a,1,2))]. 11723 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(180,a,11722,a)]. 11724 T(x * y,z) * a(x,y,K(z,x * y)) = x * (y * K(x * y,z)). [hyper(66,a,5202,a(flip),b,11722,a),flip(a)]. 11725 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(11722(a,1),307(a,1,1)),flip(b)]. 11727 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(278(a,1),11725(a,1))]. 11728 K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3064(a,1),8865(a,2,1,2))]. 11729 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(616(a,1),11728(a,1,1,2,2))]. 11730 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3104(a,1),11729(a,1,1,2))]. 11731 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,6710,a(flip),b,11730,a),flip(a)]. 11732 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = ((K(y,w) * u) * z) \ ((K(y,w) * u) * (z * K(x,y))). [para(112(a,1),9616(a,2,1))]. 11733 L(L(K(x,y),z,u),u * z,R(K(y,w),u,z * K(x,y))) = L(K(x,y),z,K(y,w) * u). [hyper(285,a,23,a,b,11732,a),flip(a)]. 11734 L(K(x,y),z,K(y,u) * w) = L(K(x,y),z,w). [hyper(66,a,9276,a(flip),b,11733,a),flip(a)]. 11736 L(K(x,y \ z),u,(y \ z) * y) = L(K(x,y \ z),u,z). [para(5101(a,1),11734(a,1,3))]. 11737 (K(x,y) \ (K(x,y) * (z / L(y,u,w)))) / (K(x,y) \ 1) = (L(y,u,w) * ((L(y,u,w) \ z) / (K(x,y) \ 1))) / L(y,u,w). [para(9202(a,1),9993(a,1,1,2))]. 11738 (x * (y * R(x,z,u))) \ (((y * R(x,z,u)) * x) * K(x,y)) = x \ R(x,y,R(x,z,u)). [para(11027(a,1),10254(a,1,1))]. 11739 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [para(6322(a,1),11738(a,1,2))]. 11741 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1633(a,1),11739(a,1,2))]. 11742 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [hyper(648,a,11741,a)]. 11743 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(647,a,11741,a),flip(a)]. 11744 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11741(a,1),647(a,1))]. 11745 T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(122,a,9826,a,b,11742,a)]. 11746 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(66,a,10185,a,b,11743,a)]. 11747 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(11743(a,1),7030(a,1,1)),flip(a)]. 11748 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(11743(a,1),9578(a,1,2)),flip(a)]. 11749 R(T(x,y),T(y,x),R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(4529(a,1),11747(a,2,1))]. 11751 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(11746(a,1),7406(a,1,1))]. 11752 K(x * R(y,z,u),y) * K(x,K(y,w)) = a(y,x,R(y,z,u)) * T(K(x,y),w). [para(11746(a,1),8477(a,1,1)),flip(a)]. 11753 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(17(a,1),11751(a,1,2,2))]. 11754 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5635,a,11748,a)]. 11755 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,989,a(flip),b,11754,a)]. 11756 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(66,a,9920,a(flip),b,11755,a),flip(a)]. 11757 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(66,a,11551,a(flip),b,11752,a),flip(a)]. 11758 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(11047,a,11757,a)]. 11759 a(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). [hyper(11744,a,11745,a)]. 11760 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(66,a,4632,a(flip),b,11759,a),flip(a)]. 11761 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4530,a,11760,a)]. 11762 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. [para(9826(a,1),11749(a,1,1))]. 11763 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(11761(a,1),11762(a,2,1))]. 11764 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(66,a,11747,a(flip),b,11763,a)]. 11765 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11237,a,11756,a)]. 11768 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(9986(a,1),11765(a,2,2,2))]. 11769 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(15(a,1),11768(a,2,2,2,1))]. 11770 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(14(a,1),11769(a,2,2))]. 11772 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(285,a,11743,a(flip),b,11770,a),flip(a)]. 11773 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(4530,a,11772,a),flip(a)]. 11774 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(66,a,11238,a(flip),b,11772,a),flip(a)]. 11777 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). [para(11027(a,1),11034(a,1,1,2,1,1)),flip(a)]. 11778 R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). [para(14(a,1),11777(a,2,1,2,1))]. 11780 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(11027(a,1),11778(a,1,1)),flip(a)]. 11781 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2239(a,1),11780(a,2,2))]. 11782 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(66,a,11101,a,b,11781,a)]. 11783 R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(11781(a,1),11364(a,1,1))]. 11784 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(295,a,11782,a),flip(a)]. 11785 R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). [para(5446(a,1),11783(a,1,1,2))]. 11786 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(11045,a,11785,a),flip(a)]. 11787 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4701,a,11786,a)]. 11789 K(x,a(K(y,z),u,u \ 1)) = 1. [para(11787(a,1),10350(a,1,2))]. 11790 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(59,a,11789,a)]. 11791 T(x,a(K(y,z),u \ 1,u)) = x. [para(3671(a,1),11790(a,1,2))]. 11792 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(57,a,11791,a)]. 11793 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(285,a,3652,a,b,11792,a),flip(a)]. 11794 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5450(a,2),11793(a,1,1))]. 11795 K(x,T(y,z)) * R(K(y,T(x,z)),u \ 1,u) = K(y,x) \ R(K(y,x),u \ 1,u). [hyper(66,a,9751,a,b,11794,a)]. 11796 K(x,K(y,z)) * (K(z,y) * R(K(y,T(z,x)),u \ 1,u)) = K(y,z) \ R(K(y,z),u \ 1,u). [hyper(66,a,7711,a,b,11795,a)]. 11797 K(x,x \ 1) \ ((1 / ((L(x,y,z) \ x) * L(x,y,z))) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(4864(a,1),11295(a,1,1))]. 11799 K(x,x \ 1) \ ((1 / x) * (L(x,y,z) \ x)) = L(x,y,z) \ 1. [para(10545(a,1),11797(a,1,2,1,2))]. 11800 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(2987,a,11799,a)]. 11801 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(285,a,6294,a,b,11800,a)]. 11802 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2193,a,11801,a)]. 11803 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(285,a,8847,a(flip),b,11802,a),flip(a)]. 11805 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(11802(a,1),240(a,1,2)),flip(b)]. 11806 (x * (y \ R(y,z,y))) * T(y / R(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(11803(a,1),8854(a,1,1,2))]. 11807 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),R(y,z,y) / y) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(8852(a,1),11806(a,1,2,1))]. 11808 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) / (K(w,x) \ 1). [para(14(a,1),11737(a,1,1)),flip(a)]. 11809 (L(x,y,z) * ((L(x,y,z) \ u) / (K(w,x) \ 1))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [hyper(285,a,7428,a(flip),b,11808,a),flip(a)]. 11811 (L(x,y,z) * ((L(x,y,z) \ u) * K(w,x))) / L(x,y,z) = (u / L(x,y,z)) * K(w,x). [para(7428(a,1),11809(a,1,1,2))]. 11812 (x * K(y,z)) / L(z,u,w) = (x / L(z,u,w)) * K(y,z). [para(9571(a,1),11811(a,1,1))]. 11814 (((x * L(y,z,u)) / L(y,z,u)) * K(w,y)) * K(y,w) = R(x,L(y,z,u),T(K(w,y),L(y,z,u))). [para(11812(a,1),10911(a,1,1))]. 11815 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = (x * K(w,y)) * K(y,w). [para(16(a,1),11814(a,1,1,1)),flip(a)]. 11816 R(x,L(y,z,u),T(K(w,y),L(y,z,u))) = x. [hyper(285,a,7392,a(flip),b,11815,a),flip(a)]. 11818 (x * L(y,z,u)) * T(K(w,y),L(y,z,u)) = x * (K(w,y) * L(y,z,u)). [para(11816(a,1),476(a,1,1)),flip(a)]. 11819 (x * (K(y,z) * L(z,u,w))) \ (x * (K(y,z) * L(z,u,w))) = a(x,L(z,u,w),T(K(y,z),L(z,u,w))). [hyper(122,a,11818,a(flip),b,646,a)]. 11820 a(x,L(y,z,u),T(K(w,y),L(y,z,u))) = 1. [hyper(306,a,11819,a),flip(a)]. 11822 a(x,L(y,z,u),K(w,y)) = 1. [hyper(66,a,11148,a(flip),b,11820,a)]. 11823 L(K(x,y),L(y,z,u),w) = K(x,y). [hyper(55,a,11822,a)]. 11825 K(L(x \ L(y,z,u),x,w),y) = K(x \ L(y,z,u),y). [hyper(66,a,6654,a(flip),b,11823,a)]. 11826 L(K(x,y),L(x,z,u),w) = (((v5 \ v6) \ v6) * K(y,x)) \ T(v5,v5 \ v6). [para(11823(a,1),7559(a,1,1,2)),flip(a)]. 11827 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(T(z,x * y),u,w),T(z,x * y)). [hyper(66,a,10670,a,b,11825,a)]. 11828 L(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,7400,a(flip),b,11826,a),flip(a)]. 11829 K(x,((L(x,y,z) \ 1) * u) \ 1) = K(x,u \ L(x,y,z)). [hyper(66,a,7203,a(flip),b,11828,a)]. 11830 K(x,(y \ z) \ L(x,u,w)) = K(x,z \ (y * L(x,u,w))). [hyper(66,a,6636,a(flip),b,11828,a),flip(a)]. 11831 (1 / L(x,y,z)) \ K(x,u) = L(x,y,z) * K(x,u). [hyper(122,a,11828,a(flip),b,2951,a)]. 11833 L(x \ y,x,1 / y) * K(x \ y,z) = ((1 / y) * x) \ K(x \ y,z). [para(561(a,1),11831(a,1,1)),flip(a)]. 11834 K(x,y \ L(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10627,a(flip),b,11829,a),flip(a)]. 11835 K(x,y \ L(x,z \ 1,z)) = K(x,y \ x). [para(2969(a,1),11834(a,1,2,2))]. 11836 K(x,y \ ((1 / (z / x)) * z)) = K(x,y \ x). [para(2962(a,1),11834(a,1,2,2))]. 11837 K(x,y \ (((z / x) \ 1) * z)) = K(x,y \ x). [hyper(66,a,7198,a(flip),b,11836,a)]. 11838 K(x,(((x \ y) \ 1) * y) / z) = K(x,z \ x). [hyper(66,a,9748,a,b,11837,a)]. 11840 (((1 / x) * y) \ 1) * K(y \ x,z) = ((1 / x) * y) \ K(y \ x,z). [para(455(a,1),11833(a,1,1))]. 11841 K(R(x,y,z),x * L(u,x,u)) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(10360(a,1),8899(a,1,1))]. 11843 K(R(x,y,z),x * u) * ((x * (L(u,x,u) * R(x,y,z))) / (x * L(u,x,u))) = L(R(x,y,z),u,x). [para(11370(a,1),11841(a,1,1))]. 11844 K(R(x,y,z),x * u) * R((x * (L(u,x,u) * x)) / (x * L(u,x,u)),y,z) = L(R(x,y,z),u,x). [para(1782(a,2),11843(a,1,2))]. 11845 K(R(x,y,z),x * u) * R(x * K(L(u,x,u),x),y,z) = L(R(x,y,z),u,x). [para(5315(a,1),11844(a,1,2,1))]. 11846 K(R(x,y,z),x * u) * R(x * K(u,x),y,z) = L(R(x,y,z),u,x). [para(6279(a,1),11845(a,1,2,1,2))]. 11847 K(R(K(x \ y,x),y,z),K(x \ y,x) * u) * R(K(x \ y,x) * K(u,K(x \ y,x)),y,z) = L((y * z) / ((x * (y / x)) * z),u,K(x \ y,x)). [para(6142(a,2),11846(a,2,1))]. 11849 (x * y) \ ((y * K(x,z)) * R(x,y,K(x,z))) = K(x,z) * K(y * K(x,z),R(x,y,K(x,z))). [para(11073(a,1),9243(a,1,1))]. 11850 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ ((z * K(x,y)) * x). [para(9235(a,1),11849(a,1,2,2)),flip(a)]. 11852 K(x,y) * K(z * K(x,y),R(x,z,K(x,y))) = (x * z) \ (z * T(x,y)). [para(6311(a,1),11850(a,2,2))]. 11853 (x * y) \ (y * T(x,z)) = K(x,z) * K(y * K(x,z),x). [para(9235(a,1),11852(a,1,2,2)),flip(a)]. 11854 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [para(8173(a,1),11853(a,2,2))]. 11855 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(285,a,10188,a(flip),b,11854,a),flip(a)]. 11856 K(x,x \ y) * K(y,x) = a(x,y / x,x). [hyper(66,a,4268,a(flip),b,11854,a),flip(a)]. 11857 K(T(x,y),y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [hyper(66,a,2364,a(flip),b,11854,a),flip(a)]. 11859 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(2236,a,11856,a)]. 11860 x \ T(y * (x / y),y) = a(y,x / y,y). [hyper(66,a,9378,a,b,11859,a)]. 11861 a(x,(y * x) / x,x) = (y * x) \ T(x * y,x). [para(16(a,1),11860(a,1,2,1,2)),flip(a)]. 11862 (x * y) \ T(y * x,y) = a(y,x,y). [para(16(a,1),11861(a,1,2)),flip(a)]. 11863 K(x,y) * K(L(x,z,u) * y,T(x,y)) = a(T(x,y),y,L(T(x,y),z,u)). [para(5316(a,1),11857(a,1,1))]. 11864 a(T(x,y),y,L(T(x,y),z,u)) = K(x,y) * K(L(x,z,u) * y,x). [para(9816(a,1),11863(a,1,2)),flip(a)]. 11865 a(T(x,y),y,L(T(x,y),z,u)) = L(x,y,L(x,z,u)) \ x. [hyper(285,a,9821,a(flip),b,11864,a),flip(a)]. 11866 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1571(a,1),11855(a,1,2))]. 11867 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(647,a,11866,a),flip(a)]. 11869 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(10256,a,11867,a)]. 11870 K(x,y) * R(x,z,L(x,u,w)) = T(x,y) * a(x,z,L(x,u,w)). [hyper(124,a,11867,a(flip),b,5526,a),flip(a)]. 11871 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(T(x,y),z,L(T(x,y),u,w)). [para(10600(a,1),11867(a,1,2))]. 11872 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5452,a,11869,a)]. 11873 K(x,y) * K(y,x * L(y,z,u)) = a(y,x,L(y,z,u)) \ 1. [para(11869(a,1),11153(a,1,1)),flip(a)]. 11874 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(11869(a,1),11432(a,2,2))]. 11875 T(x,y) \ R(T(x,y),z,L(x,u,w)) = a(x,z,L(x,u,w)). [hyper(122,a,10569,a(flip),b,11870,a(flip))]. 11876 a(T(x,y),z,L(T(x,y),u,w)) = a(x,z,L(x,u,w)). [hyper(66,a,11875,a(flip),b,11871,a),flip(a)]. 11878 L(x,y,L(x,z,u)) \ x = a(x,y,L(x,z,u)). [hyper(66,a,11865,a(flip),b,11876,a)]. 11880 a(x,y,L(x,z,u)) \ x = L(x,y,L(x,z,u)). [para(11878(a,1),10544(a,1,1))]. 11881 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(6457(a,1),11874(a,1,1))]. 11882 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6826(a,1),11881(a,1,2))]. 11883 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(66,a,11093,a(flip),b,11882,a)]. 11884 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10150(a,1),11883(a,1,2))]. 11885 (T(x,y) * K(y,x)) \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),5227(a,2,2,1,1,1))]. 11886 x \ ((T(T(x,y),z) * K(y,x)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5131(a,1),11885(a,1,1))]. 11887 x \ ((x * K(T(x,y),z)) * (K(y,x) \ u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5853(a,1),11886(a,1,2,1))]. 11888 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(y,x) \ u),z). [para(5334(a,1),11887(a,1,2,2))]. 11889 x \ ((x * K(T(x,y),z)) * (K(x,y) * u)) = (x \ u) * T((x \ u) \ (K(x,y) * u),z). [para(5334(a,1),11888(a,2,2,1,2))]. 11890 x \ ((x * K(T(x,y),z)) * (K(x,y) * L(x,u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(8851(a,2),11889(a,2,1))]. 11891 x \ ((x * K(T(x,y),z)) * L(T(x,y),u,x)) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(9099(a,1),11890(a,1,2,2))]. 11892 x \ (x * (K(T(x,y),z) * L(T(x,y),u,x))) = (R(x,u,x) \ x) * T((x \ L(x,u,x)) \ (K(x,y) * L(x,u,x)),z). [para(6337(a,1),11891(a,1,2))]. 11893 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = x \ (x * L(T(T(x,z),u),y,x)). [para(9137(a,1),11892(a,1,2,2)),flip(a)]. 11894 (R(x,y,x) \ x) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [hyper(285,a,14,a(flip),b,11893,a),flip(a)]. 11896 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ (K(x,z) * L(x,y,x)),u) = L(T(T(x,z),u),y,x). [para(8851(a,1),11894(a,1,1))]. 11897 (x \ L(x,y,x)) * T((x \ L(x,y,x)) \ L(T(x,z),y,x),u) = L(T(T(x,z),u),y,x). [para(9099(a,1),11896(a,1,2,1,2))]. 11898 (x \ L(x,y,x)) * T(T(x,z),u) = L(T(T(x,z),u),y,x). [para(9219(a,1),11897(a,1,2,1))]. 11899 T(T(x,y),z) \ L(T(T(x,y),z),u,x) = x \ L(x,u,x). [hyper(38,a,5045,a,b,11898,a)]. 11901 T(T(x,y),z) \ T(T(x,x * y),z) = x \ L(x,y,x). [para(665(a,1),11899(a,1,2))]. 11902 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(66,a,6223,a(flip),b,11901,a)]. 11903 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [para(7761(a,1),11902(a,1,2))]. 11904 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(11902(a,1),11058(a,1,2))]. 11905 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(11903(a,1),6311(a,1,1)),flip(a)]. 11906 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(285,a,5045,a(flip),b,11905,a),flip(a)]. 11907 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8749(a,1),11906(a,1,2))]. 11908 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7803(a,2),11907(a,1,1))]. 11909 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6051,a(flip),b,5735,a),flip(a)]. 11911 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,6224,a(flip),b,11909,a)]. 11912 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(66,a,6970,a(flip),b,11911,a)]. 11913 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(16(a,1),11912(a,1,2,1))]. 11914 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(66,a,9284,a(flip),b,11913,a)]. 11915 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(285,a,8265,a(flip),b,11914,a),flip(a)]. 11916 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(1 \ y,x)). [para(8878(a,1),9265(a,2,2))]. 11917 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,T(y,x)). [para(78(a,1),11916(a,2,2,2,1))]. 11918 T(x,y) * K((x \ ((y \ 1) \ x)) * T(x,y),x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4220(a,1),11917(a,2,2))]. 11919 T(x,y) * K((y \ 1) \ x,x \ ((y \ 1) \ x)) = (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y). [para(4084(a,1),11918(a,1,2,1))]. 11920 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * ((x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y))) \ (z * T(x,y)). [para(11918(a,1),7561(a,1,1,2)),flip(a)]. 11921 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(1 \ y,x)). [para(9772(a,1),11919(a,1,2)),flip(a)]. 11922 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K((y \ 1) \ x,T(y,x)). [para(78(a,1),11921(a,2,2,2,1))]. 11923 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x / (y \ 1),y). [para(7994(a,1),11922(a,2,2))]. 11924 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = T(x,y) * K(x * y,y). [para(5852(a,1),11923(a,2,2))]. 11925 (x \ ((y \ 1) \ x)) \ T((y \ 1) \ x,y) = y \ T(x * y,y). [hyper(285,a,9234,a(flip),b,11924,a),flip(a)]. 11926 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),9549(a,1,2,1))]. 11927 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5334(a,1),11926(a,1,2,2,1,1))]. 11928 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(830(a,1),11927(a,1,2))]. 11929 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9635(a,1),11928(a,1,2))]. 11930 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(6179,a,11929,a),flip(a)]. 11932 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3341(a,1),11930(a,2,1))]. 11933 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6238(a,1),11932(a,1,1))]. 11934 R(K(x,y),K(y,z),u) = K(x,y). [hyper(869,a,11933,a)]. 11935 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(14(a,1),11933(a,1,2))]. 11937 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(R(K(x,y),K(y,w),v5) \ 1,z,u). [para(11934(a,1),2570(a,1,1)),flip(a)]. 11939 x \ (K(y,z) * (K(z,u) * x)) = T(K(y,z) * K(z,u),x). [hyper(224,a,11935,a,b,15,a),flip(a)]. 11940 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(123,a,10740,a(flip),b,11935,a)]. 11941 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(123,a,11935,a(flip),b,5191,a)]. 11942 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [para(2229(a,2),11935(a,1,1))]. 11943 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(8549(a,1),11935(a,1,1)),flip(a)]. 11944 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5106(a,1),11940(a,1,1))]. 11945 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [hyper(285,a,10745,a,b,11942,a),flip(a)]. 11946 (K(x,y) * K(z,x)) * (K(y,x) * u) = K(z,x) * u. [para(5360(a,1),11942(a,2,2))]. 11947 L(x,K(y,z),K(z,u)) = x. [hyper(445,a,11945,a)]. 11948 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(224,a,11945,a,b,15,a),flip(a)]. 11952 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(285,a,4200,a(flip),b,11947,a),flip(a)]. 11953 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11443,a(flip),b,11947,a),flip(a)]. 11958 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7687(a,1),11947(a,1,2))]. 11960 L(x,K(y,z),K(u,K(z,w))) = x. [para(7881(a,1),11947(a,1,3))]. 11961 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(11947(a,1),11054(a,1,1,1)),flip(a)]. 11962 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [hyper(1176,a,11958,a),flip(a)]. 11963 (K(x,K(y,z)) * K(u,y)) * w = K(x,K(y,z)) * (K(u,y) * w). [hyper(1176,a,11960,a),flip(a)]. 11964 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(11952(a,1),10568(a,1,2,3))]. 11965 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(66,a,11449,a(flip),b,11964,a),flip(a)]. 11966 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [hyper(122,a,5360,a(flip),b,11946,a)]. 11967 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(5726,a,11953,a)]. 11969 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(7940(a,1),11953(a,1,1))]. 11970 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [para(2229(a,1),11966(a,1,1))]. 11971 x * K(x,K(y,z) * K(u,y)) = T(T(x,K(y,z)),K(y,u)). [hyper(285,a,5130,a(flip),b,11967,a)]. 11972 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(66,a,11953,a(flip),b,11967,a)]. 11973 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). [para(10571(a,1),11969(a,1,1,2)),flip(a)]. 11974 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(285,a,11942,a,b,11970,a),flip(a)]. 11975 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(285,a,5150,a(flip),b,11972,a),flip(a)]. 11976 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11972(a,1),4577(a,1,2))]. 11977 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(11972(a,1),5207(a,1))]. 11978 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(66,a,11154,a(flip),b,11948,a)]. 11979 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5360(a,1),11948(a,1,2,2)),flip(a)]. 11980 T(K(x,K(y,z)) * x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [para(5190(a,1),11971(a,2,1)),flip(a)]. 11981 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(66,a,11758,a(flip),b,11978,a),flip(a)]. 11982 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2229(a,1),11961(a,1,2,2))]. 11983 R(x,T(K(y,z),x),T(K(u,K(z,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11963(a,2),847(a,1,2))]. 11984 K(x,K(y,z)) * T(x,K(y,u)) = x * K(x,K(y,z) * K(u,y)). [hyper(66,a,10765,a(flip),b,11980,a)]. 11985 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(11982(a,1),7436(a,1,1))]. 11986 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(5900,a,11984,a)]. 11987 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). [hyper(66,a,10767,a,b,11986,a)]. 11988 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(11986(a,2),5303(a,2,2)),flip(a)]. 11989 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8307(a,1),11986(a,1,1))]. 11990 x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(200(a,2),11944(a,1,2,2,2))]. 11991 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). [para(10228(a,1),11973(a,2,1))]. 11992 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11953,a(flip),b,11991,a),flip(a)]. 11993 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(10571(a,1),11992(a,1,2,2))]. 11994 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(285,a,11972,a,b,11993,a)]. 11995 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(11066,a,11941,a)]. 11996 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7500(a,1),11985(a,1,1,1)),flip(a)]. 11997 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(11969(a,1),11996(a,2,1))]. 11998 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(285,a,5119,a,b,11997,a),flip(a)]. 11999 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5334(a,1),11998(a,1,2))]. 12000 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). [para(7881(a,1),11987(a,1,2,2,2))]. 12001 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8307(a,1),11989(a,1,2)),flip(a)]. 12002 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(285,a,11986,a(flip),b,12001,a),flip(a)]. 12005 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7702(a,1),12002(a,1,1)),flip(a)]. 12006 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(11282,a,11995,a)]. 12007 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7942(a,1),12006(a,1,1)),flip(a)]. 12008 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(285,a,11967,a(flip),b,12007,a),flip(a)]. 12009 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(11977,a,12008,a(flip)),flip(a)]. 12010 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2229(a,2),12008(a,1,2,1))]. 12011 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(37,a,5130,a(flip),b,12010,a),flip(a)]. 12012 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12010(a,1),11975(a,1,1))]. 12013 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(66,a,11999,a,b,12011,a)]. 12014 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [hyper(124,a,12011,a(flip),b,5125,a(flip))]. 12015 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2229(a,1),12011(a,2,2))]. 12016 K(K(x,y) * K(y,z),u) = K(u,K(x,y) * K(y,z)). [para(2229(a,1),12015(a,1,1))]. 12017 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(66,a,12009,a(flip),b,12016,a)]. 12018 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(66,a,12005,a(flip),b,12017,a),flip(a)]. 12020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12018(a,1),11383(a,2,2))]. 12022 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5409,a,12014,a)]. 12023 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11279(a,1),12022(a,1,1))]. 12024 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(4463,a,12000,a)]. 12025 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7881(a,1),12024(a,1,1))]. 12027 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(66,a,9701,a(flip),b,11965,a),flip(a)]. 12028 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(9729(a,1),12027(a,2,2))]. 12029 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(285,a,4292,a(flip),b,12028,a),flip(a)]. 12030 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9393(a,1),12029(a,1,1,1))]. 12031 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10801(a,1),12030(a,1,1)),flip(a)]. 12033 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12031(a,1),5576(a,1))]. 12034 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(285,a,11935,a(flip),b,12020,a),flip(a)]. 12036 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). [para(11934(a,1),11937(a,2,2,1,1))]. 12037 R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12036(a,2,2,1))]. 12039 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5320(a,1),12037(a,1,1,2,1))]. 12040 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = ((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) \ (((K(u,y) * R(K(y,u),w,v5)) * K(y,z)) * x). [para(12039(a,1),466(a,1,1,1)),flip(a)]. 12041 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) * v6 = K(x,y) * (R(K(y,x),z,u) * v6). [para(12039(a,2),6951(a,1,1))]. 12042 R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(7860(a,1),12041(a,1,1,1,2,1))]. 12043 R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). [para(10155(a,1),12042(a,1,1,1,2))]. 12044 R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). [para(12025(a,1),12043(a,1,1,1))]. 12045 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * (((1 / (x * y)) * y) \ K(y,x))) = K(y,x) \ ((1 / (x * y)) * y). [para(5334(a,1),6060(a,1,2,1))]. 12046 K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). [para(5493(a,1),7505(a,1,1))]. 12047 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). [para(5493(a,1),12046(a,1,2,1,1)),flip(a)]. 12048 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). [para(5320(a,1),12047(a,2,2,1))]. 12049 R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). [para(6090(a,1),12048(a,2,2))]. 12050 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). [para(5126(a,1),12049(a,1,1,1)),flip(a)]. 12051 K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). [para(6090(a,1),12050(a,2,1,2))]. 12052 ((x * y) * K(y * x,x \ (y \ 1))) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(6065(a,1),8985(a,1,1,2))]. 12053 (1 / L(x,y,(x * y) \ 1)) * ((K(x,y) * ((1 / (x * y)) * y)) * L(x,y,(x * y) \ 1)) = K(y,x) \ ((1 / (x * y)) * y). [para(5883(a,1),12045(a,1,2,2))]. 12054 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * (((1 / (x * y)) * y) * L(x,y,(x * y) \ 1))) = K(y,x) \ ((1 / (x * y)) * y). [para(9172(a,1),12053(a,1,2))]. 12055 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * ((1 / (x * y)) * (y * x))) = K(y,x) \ ((1 / (x * y)) * y). [para(3667(a,1),12054(a,1,2,2))]. 12056 (1 / L(x,y,(x * y) \ 1)) * (K(x,y) * K(y,x)) = K(y,x) \ ((1 / (x * y)) * y). [para(5874(a,2),12055(a,1,2,2))]. 12057 K(x,y) \ ((1 / (y * x)) * x) = 1 / L(y,x,(y * x) \ 1). [hyper(5365,a,12056,a),flip(a)]. 12058 K(x,y) * ((1 / (x * y)) * y) = 1 / L(x,y,(x * y) \ 1). [hyper(5464,a,12057,a)]. 12060 (K(x,y) * ((1 / (x * y)) * y)) \ 1 = L(x,y,(x * y) \ 1). [hyper(180,a,12058,a(flip))]. 12062 x / a((x * y) \ 1,y,x) = L(x,y,(x * y) \ 1). [hyper(66,a,11712,a(flip),b,12060,a)]. 12063 a((x * y) \ 1,y,x) / x = 1 / L(x,y,(x * y) \ 1). [para(12062(a,1),11659(a,1,2)),flip(a)]. 12064 (((x * y) \ 1) \ 1) \ T((x * y) * (1 / (y * x)),y * x) = L((y * x) \ 1,K(y * x,(y * x) \ 1),x * y). [para(10931(a,1),12052(a,1,1))]. 12065 L((x * y) \ 1,K(x * y,(x * y) \ 1),y * x) = (((y * x) \ 1) \ 1) \ ((y * x) * (1 / (x * y))). [para(8984(a,1),12064(a,1,2)),flip(a)]. 12066 (((x * y) \ 1) \ 1) * ((y * x) \ 1) = (x * y) * (1 / (y * x)). [hyper(124,a,7576,a(flip),b,12065,a(flip))]. 12067 (((((1 / (1 / x)) / y) * y) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(11483(a,2),12066(a,1,2,1))]. 12068 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * ((((x * (y * x)) / x) / T(x,x * y)) * z). [para(4228(a,1),6023(a,1,1)),flip(a)]. 12069 T(x,x * y) * ((T(x,x * y) \ ((x * (y * x)) / x)) * z) = L(x,y,x) * (y * z). [para(4191(a,1),12068(a,2,2,1))]. 12070 T(x,x * y) * (T(y,x) * z) = L(x,y,x) * (y * z). [para(6042(a,1),12069(a,1,2,1))]. 12071 L(x,y / x,x) * ((y / x) * z) = T(x,y) * (T(y / x,x) * z). [para(4181(a,1),12070(a,1,1)),flip(a)]. 12072 L(x,y / x,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(118(a,1),12071(a,2,2,1))]. 12073 L(x,x \ y,x) * ((y / x) * z) = T(x,y) * ((x \ y) * z). [para(4331(a,1),12072(a,1,1))]. 12074 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = (K(x,y) * T(y,x)) * (T((y \ 1) \ 1,x) \ x). [para(5800(a,1),6621(a,1,1)),flip(a)]. 12075 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y * (T((y \ 1) \ 1,x) \ x). [para(5143(a,1),12074(a,2,1))]. 12076 x * T(x \ T(x * K(y \ 1,y),y),T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [hyper(285,a,6253,a(flip),b,12075,a),flip(a)]. 12077 x * T((T(y,x) \ 1) * y,T((y \ 1) \ 1,x)) = y \ (x * (1 / (1 / y))). [para(9548(a,1),12076(a,1,2,1))]. 12078 x * T((T(y,x) \ 1) * y,T(y,x)) = y \ (x * (1 / (1 / y))). [para(3036(a,1),12077(a,1,2))]. 12079 x \ (y * (1 / (1 / x))) = y * ((T(x,y) \ 1) * x). [para(8885(a,1),12078(a,1,2)),flip(a)]. 12080 K((x * (1 / (1 / y))) \ (y * z),T(z,u)) = K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)). [para(12079(a,1),8464(a,1,1,1)),flip(a)]. 12082 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (((y \ 1) \ 1) * z),T(z,u)). [para(3742(a,1),12080(a,1,1)),flip(a)]. 12083 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,u)) = K((x * y) \ (z * y),T(z,u)). [hyper(285,a,9473,a(flip),b,12082,a),flip(a)]. 12084 K((x * ((T(y,x) \ 1) * y)) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(285,a,9761,a(flip),b,12083,a),flip(a)]. 12085 K(T(x,y) \ z,T(z,x)) = K(x \ z,T(z,y)). [hyper(66,a,6748,a(flip),b,12084,a)]. 12086 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(66,a,10298,a(flip),b,12085,a)]. 12087 K(T((x \ y) \ y,z) \ u,u) = K(T(x,z) \ u,T(u,x \ y)). [para(282(a,1),12086(a,1,1,1))]. 12088 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z * x)). [para(4271(a,1),12086(a,1,1,1))]. 12089 R(x,y,z) \ R(x * K(u \ x,T(x,w)),y,z) = K(T(u,w) \ x,R(x,y,z)). [para(12086(a,1),5805(a,1,2,1,2))]. 12090 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = T(z * K(x \ z,T(z,y)),u) / T(z,u). [para(12086(a,1),11213(a,2,1,1,2))]. 12091 K(T(x,y) \ z,T(z,x \ u)) = K(((x \ u) \ u) \ z,T(z,y)). [hyper(66,a,12086,a(flip),b,12087,a),flip(a)]. 12092 K(T(T(x,y),x * z) \ u,u) = K(T(x,y) \ u,T(u,z)). [hyper(285,a,11487,a(flip),b,12088,a),flip(a)]. 12093 K(T(x,y) \ z,T(z,x * u)) = K(T(x,y) \ z,T(z,u)). [hyper(66,a,12086,a(flip),b,12092,a)]. 12094 K(T(x,y) \ z,T(z,x \ u)) = K(T(x,y) \ z,T(z,u)). [para(15(a,1),12093(a,1,2,2)),flip(a)]. 12095 K(T(x,y) \ z,T(z,x \ u)) = K(u \ ((x \ u) * z),T(z,y)). [hyper(285,a,8464,a(flip),b,12091,a),flip(a)]. 12096 K(x \ ((y \ x) * z),T(z,u)) = K(T(y,u) \ z,T(z,x)). [hyper(66,a,12094,a(flip),b,12095,a),flip(a)]. 12097 K(T(x,y) \ z,R(z,u,w)) = K(x \ z,R(T(z,y),u,w)). [hyper(66,a,9012,a(flip),b,12089,a),flip(a)]. 12098 K(T(x,y) \ z,T((x \ z) * T(x,z),u)) = K(x \ z,T(T(z,u),y)). [hyper(285,a,8836,a(flip),b,12090,a),flip(a)]. 12099 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(66,a,11212,a(flip),b,12098,a)]. 12100 K(x \ ((y \ x) * z),T(z,u)) = K(y \ z,T(T(z,x),u)). [hyper(66,a,12096,a,b,12099,a)]. 12101 K((x / y) \ z,T(T(z,x),u)) = K(x \ (y * z),T(z,u)). [para(90(a,1),12100(a,1,1,2,1)),flip(a)]. 12102 K((x / y) \ z,T(T(z,y),u)) = K(x \ (y * z),T(z,u)). [hyper(66,a,11380,a,b,12101,a)]. 12103 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(10960,a,12102,a),flip(a)]. 12104 K(x \ (y * z),T(y,z)) = K((x / z) \ y,y). [hyper(66,a,9425,a(flip),b,12103,a)]. 12105 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [hyper(66,a,8466,a(flip),b,12103,a),flip(a)]. 12106 K(x / (y \ z),y) = K((z / x) \ y,y). [hyper(10983,a,12104,a)]. 12107 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(10982,a,12104,a)]. 12108 K(x / (y / z),z) = K((y / x) \ z,z). [hyper(66,a,8172,a,b,12106,a)]. 12109 K(((x * y) / z) \ y,y) = K(z / x,y). [para(16(a,1),12108(a,1,1,2)),flip(a)]. 12110 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(66,a,6716,a(flip),b,12105,a)]. 12111 K(x,y \ (x \ 1)) / ((L(y * (x * ((y \ 1) / x)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),10552(a,1,1))]. 12112 K(x,y \ (x \ 1)) / ((L(K(x,y \ (x \ 1)),z,u) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12111(a,1,2,1,1,1))]. 12113 K(x,y \ (x \ 1)) / ((K(x,L(x * y,z,u) \ 1) \ 1) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9225(a,1),12112(a,1,2,1,1))]. 12114 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * (y * (x * ((y \ 1) / x)))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(5320(a,1),12113(a,1,2,1))]. 12115 K(x,y \ (x \ 1)) / (K(L(x * y,z,u) \ 1,x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(9289(a,1),12114(a,1,2,2))]. 12116 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x * K(y,z * x))). [para(7681(a,2),10763(a,2,2))]. 12117 (((1 / (1 / x)) \ 1) \ 1) * ((1 / (1 / (y * (x / y)))) \ 1) = (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))). [para(17(a,1),12067(a,1,1,1,1))]. 12119 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * ((1 / (1 / (y * (x / y)))) \ 1). [para(184(a,1),12117(a,1,1)),flip(a)]. 12120 (((1 / (1 / x)) / y) * y) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [para(90(a,1),12119(a,2,2))]. 12121 (1 / (1 / x)) * (1 / (y * ((1 / (1 / x)) / y))) = x * (1 / (y * (x / y))). [hyper(293,a,12120,a)]. 12124 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) / K(y,T(z,x)). [para(10415(a,1),12116(a,2,2))]. 12125 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(T(z,x),y). [hyper(285,a,7396,a(flip),b,12124,a),flip(a)]. 12127 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = (K(y,z * x) * x) * K(z,T(y,x)). [para(7761(a,1),12125(a,2,2))]. 12128 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (x * K(z,T(y,x))). [hyper(285,a,9707,a(flip),b,12127,a),flip(a)]. 12129 (x * K(y,z * x)) / T(T(K(y,z),x * K(y,z * x)),x * K(y,z * x)) = K(y,z * x) * (K(z,y) * x). [para(7682(a,1),12128(a,2,2))]. 12130 (x * K(y,z * x)) / K(y,z) = K(y,z * x) * (K(z,y) * x). [para(7980(a,1),12129(a,1,2))]. 12131 (x * K(y,z * x)) * K(z,y) = K(y,z * x) * (K(z,y) * x). [hyper(7410,a,12130,a)]. 12134 K(x,y * z) * (K(y,x) * z) != u | z * (K(x,y * z) * K(y,x)) = u. [para(12131(a,1),11098(a,1))]. 12135 K(x * (y \ T(y * z,y)),K(y * z,L(y,z,x))) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10174(a,1),9605(a,1,1))]. 12136 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = (z * (y \ T(x * y,y))) \ (z * T(x,y)). [para(11925(a,1),11920(a,2,1,2))]. 12137 R(x,T(K(y,z),x),T(K(z,K(u,w)),K(y,z) * x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),11983(a,1,1,3,1))]. 12138 x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). [para(6534(a,1),11990(a,1,2,1))]. 12139 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3858(a,1),12138(a,1,2,2)),flip(a)]. 12140 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(9879(a,1),12139(a,2,2))]. 12141 K(x,((y \ 1) * (y * z)) \ (y * z)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(14(a,1),12140(a,2,2,1))]. 12142 K(x,R(T(y,z),y \ 1,z * y)) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12141(a,1,1,2))]. 12143 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8628(a,1),12142(a,1,1))]. 12144 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(7132(a,1),12143(a,1,2,1))]. 12146 T(K(x,y),z) * K(R(T(y,z),y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7148(a,1),12144(a,1,2))]. 12147 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(8331(a,1),12146(a,1,2))]. 12148 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7248(a,1),12147(a,1,2)),flip(a)]. 12149 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(285,a,9312,a,b,12148,a),flip(a)]. 12151 K(x * (y \ T(y * z,y)),K(y * z,y)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(8738(a,1),12135(a,1,1,2))]. 12152 K(x * y,K(z * (x \ T(x * y,x)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7881(a,1),12151(a,1,1))]. 12154 K(x * y,K(z * (x \ (x * y)),x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(8266(a,1),12152(a,1,1,2))]. 12155 K(x * y,K(z * y,x)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(14(a,1),12154(a,1,1,2,1,2))]. 12156 K(x,K(x * y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7884(a,1),12155(a,1,1))]. 12157 K(x,K(y,z * y)) / ((z * y) / (z * (x \ T(x * y,x)))) = 1 / ((z * (x \ T(x * y,x))) \ (z * y)). [para(7960(a,1),12156(a,1,1))]. 12158 K(x,K(y,z)) / ((y * z) / (y * (x \ T(x * z,x)))) = 1 / ((y * (x \ T(x * z,x))) \ (y * z)). [para(7929(a,1),12157(a,1,1))]. 12159 K(x,K(y,z)) / ((x * z) / (x * (y \ T(y * z,y)))) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7881(a,1),12158(a,1,1))]. 12160 K(x,K(y,z)) / L(K(y,T(z * y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(10481(a,1),12159(a,1,2))]. 12161 K(x,K(y,z)) * L(K(T(z * y,x),y),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [hyper(7560,a,12160,a)]. 12162 K(x,K(y,z)) * L(K(z * y,T(y,x)),z,x) = 1 / ((x * (y \ T(y * z,y))) \ (x * z)). [para(7761(a,1),12161(a,1,2,1))]. 12163 1 / ((x * (y \ T(y * z,y))) \ (x * z)) != K(x,K(y,z)) * u | L(K(z * y,T(y,x)),z,x) = u. [para(12162(a,1),46(a,1))]. 12164 R(x,T(K(y,z),x),T(K(z,K(u,w)),x)) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(9873(a,1),12137(a,1,1,3))]. 12165 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(u,K(z,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7715(a,2),12164(a,1,1,3))]. 12167 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ ((K(z,K(u,w)) * K(y,z)) * x) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(7881(a,1),12165(a,1,2,1,1))]. 12168 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(u,K(z,w)),K(y,z) * x). [para(11942(a,1),12167(a,1,2))]. 12169 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),K(y,z) * x). [para(7881(a,1),12168(a,2,2,1))]. 12170 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * T(K(z,K(u,w)),x). [para(9873(a,1),12169(a,2,2))]. 12171 R(x,T(K(y,z),x),K(z,K(u,T(w,x)))) \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(7715(a,2),12170(a,2,2))]. 12173 x \ (K(y,z) * (K(z,K(u,w)) * x)) = T(K(y,z),x) * K(z,K(u,T(w,x))). [para(11033(a,1),12171(a,1,1))]. 12174 T(K(x,y),z) * K(y,K(u,T(w,z))) = T(K(x,y) * K(y,K(u,w)),z). [hyper(66,a,11939,a(flip),b,12173,a),flip(a)]. 12175 K(x,K(y,T(z,u))) * T(K(w,x),u) = T(K(w,x) * K(x,K(y,z)),u). [hyper(66,a,2237,a(flip),b,12174,a)]. 12176 K(x,K(y,T(z,u))) * K(w,T(x,u)) = T(K(w,x) * K(x,K(y,z)),u). [para(7681(a,2),12175(a,1,2))]. 12177 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(9741(a,1),6242(a,1,1)),flip(a)]. 12178 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(285,a,9286,a,b,12177,a),flip(a)]. 12180 L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(5219(a,1),12178(a,2,1))]. 12181 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(9741(a,1),6243(a,1,1)),flip(a)]. 12182 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(285,a,9286,a,b,12181,a),flip(a)]. 12184 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(5219(a,1),12182(a,2,1))]. 12185 R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). [hyper(285,a,9802,a(flip),b,12184,a),flip(a)]. 12186 R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4187(a,2),12185(a,1,2))]. 12187 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(9737(a,1),12186(a,1,2,1))]. 12188 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4182(a,2),12187(a,1,2,1))]. 12190 (x * y) / (R((z \ R(1 / u,u,x)) * z,u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),6821(a,1,2,1))]. 12191 (1 / x) * (((1 / x) / ((1 / x) * K(y,y \ (x \ 1)))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(10318(a,1),9544(a,1,1)),flip(a)]. 12192 (1 / x) * (((1 / x) / (y * ((1 / x) / y))) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(7173(a,1),12191(a,1,2,1,2))]. 12194 (1 / x) * (K(y \ (1 / x),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(5078(a,1),12192(a,1,2,1))]. 12195 (1 / x) * (K(y \ (x \ 1),y) / (1 / x)) = (x \ 1) / (y * ((1 / x) / y)). [para(6697(a,1),12194(a,1,2,1))]. 12196 (1 / x) * (1 / (y * ((1 / x) / y))) = (x \ 1) / (y * ((1 / x) / y)). [para(11312(a,1),12195(a,1,2))]. 12197 (1 / x) * (1 / (y * ((1 / x) / y))) = ((y \ (x \ 1)) * y) * x. [hyper(285,a,6824,a(flip),b,12196,a),flip(a)]. 12198 ((x \ ((1 / y) \ 1)) * x) * (1 / y) = y * (1 / (x * (y / x))). [hyper(66,a,12121,a(flip),b,12197,a),flip(a)]. 12199 ((x \ y) * x) * (1 / y) = y * (1 / (x * (y / x))). [para(90(a,1),12198(a,1,1,1,2))]. 12200 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (1 / (1 / (y \ x))),T(y \ x,z)) * K(1 / (x \ y),z). [para(8907(a,1),10271(a,2,1))]. 12201 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(1 / (x \ y),z). [para(9984(a,1),12200(a,2,1))]. 12202 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K((x \ y) \ 1,z). [para(3339(a,1),12201(a,2,2))]. 12204 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = K(z * (y \ x),y \ x) * K(y \ x,z). [para(6468(a,1),12202(a,2,2))]. 12205 (1 / (x \ y)) \ R(1 / (x \ y),z,L(1 / (x \ y),x \ y,x)) = (y \ x) \ R(y \ x,z,y \ x). [hyper(285,a,5792,a(flip),b,12204,a),flip(a)]. 12206 (1 / (x \ y)) \ R(1 / (x \ y),z,1 / (1 / (y \ x))) = (y \ x) \ R(y \ x,z,y \ x). [para(2606(a,1),12205(a,1,2,3))]. 12207 (1 / (x \ y)) \ R(1 / (x \ y),z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [para(4803(a,1),12206(a,1,2))]. 12208 (x \ y) * R((x \ y) \ 1,z,y \ x) = (y \ x) \ R(y \ x,z,y \ x). [hyper(1089,a,12207,a)]. 12209 (x \ y) \ R(x \ y,z,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(66,a,1535,a(flip),b,12208,a),flip(a)]. 12210 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ ((x \ y) * R((x \ y) \ y,z,(x \ y) \ y)). [para(117(a,2),12209(a,1,1))]. 12211 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12210(a,2,2))]. 12212 T(x,x \ y) \ R((x \ y) \ y,z,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),12211(a,2,2,1))]. 12213 x \ (R(y,z,y) * (y \ x)) = y \ R(y,z,y). [hyper(66,a,10307,a(flip),b,12212,a),flip(a)]. 12216 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(11966(a,1),11988(a,2,1,1))]. 12217 (x * y) / (R(R((z \ (1 / u)) * z,u,x),u * x,y) * ((u * x) * y)) = K(z,(x * y) / (z * (R(R(1 / u,u,x),u * x,y) \ (x * y)))). [para(3757(a,2),12190(a,1,2,1,1))]. 12218 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((R((x \ (1 / u)) * x,u,y) * (u * y)) * z). [para(112(a,1),12217(a,1,2)),flip(a)]. 12219 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / (((((x \ (1 / u)) * x) * u) * y) * z). [para(112(a,1),12218(a,2,2,1))]. 12220 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = (y * z) / ((K(u \ (x \ 1),x) * y) * z). [para(6681(a,1),12219(a,2,2,1,1))]. 12221 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = R(K(x,u \ (x \ 1)),y,z). [hyper(285,a,6136,a(flip),b,12220,a),flip(a)]. 12222 K(x,(y * z) / (x * (R(R(1 / u,u,y),u * y,z) \ (y * z)))) = K(x,R(u * x,y,z) \ 1). [hyper(285,a,6934,a(flip),b,12221,a),flip(a)]. 12223 K(x,(y * z) / (x * ((u * y) * z))) = K(x,R(u * x,y,z) \ 1). [para(571(a,1),12222(a,1,2,2,2))]. 12224 K(x,R(y * x,z,u) \ 1) = K(x,R(y,z,u) \ (x \ 1)). [hyper(66,a,6935,a(flip),b,12223,a),flip(a)]. 12225 K(x,R(y \ 1,z,u) \ (x \ 1)) = R(K(x,x \ y),z,u). [hyper(66,a,9319,a(flip),b,12224,a),flip(a)]. 12226 K(x \ 1,R(y,z,u) \ ((x \ 1) \ 1)) = K(R(x,z,u) \ 1,y \ x). [hyper(66,a,7307,a(flip),b,12224,a),flip(a)]. 12227 K(x,(y * z) / (T(y,z) * x)) = R(K(x,x \ z),z,y). [hyper(66,a,8926,a(flip),b,12225,a)]. 12228 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),y,z). [hyper(66,a,8688,a,b,12227,a)]. 12229 K(R(x,y,z) \ 1,u \ x) = K(x \ 1,R(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12226,a),flip(a)]. 12230 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,((y * (y \ x)) \ 1) \ 1). [para(10936(a,1),6296(a,1,3)),flip(a)]. 12231 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,(x \ 1) \ 1). [para(15(a,1),12230(a,2,3,1,1))]. 12232 (x / ((y \ x) * y)) \ ((((y \ x) * y) \ 1) \ (((y \ x) * y) \ x)) = R((y \ x) * y,((y \ x) * y) \ 1,x). [hyper(285,a,4802,a(flip),b,12231,a),flip(a)]. 12234 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ (((x \ y) * x) \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(5292(a,1),12232(a,1,1))]. 12235 K(x,x \ y) \ ((((x \ y) * x) \ 1) \ K(x,x \ y)) = R((x \ y) * x,((x \ y) * x) \ 1,y). [para(98(a,1),12234(a,1,2,2))]. 12236 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ (((x * (x \ y)) \ 1) \ 1). [para(10936(a,1),12235(a,1,2)),flip(a)]. 12237 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x,x \ y) \ ((y \ 1) \ 1). [para(15(a,1),12236(a,2,2,1,1))]. 12238 R((x \ y) * x,((x \ y) * x) \ 1,y) = K(x \ y,x) * ((y \ 1) \ 1). [hyper(285,a,5334,a(flip),b,12237,a),flip(a)]. 12240 R((x \ y) * x,((x \ y) * x) \ 1,y) = T((x \ y) * x,y \ 1). [hyper(285,a,6189,a(flip),b,12238,a),flip(a)]. 12241 T((x \ y) * x,y \ 1) \ y = (((x \ y) * x) \ 1) * y. [para(12240(a,1),394(a,1,1))]. 12242 (((x \ y) * x) \ 1) * y = (y \ 1) * (x * (y / x)). [hyper(66,a,7676,a(flip),b,12241,a),flip(a)]. 12243 T(R(K(x,y),z,u) * (R(K(y,x),z,u) * (K(x,w) * v5)),R(K(y,x),z,u)) = (R(K(y,x),z,u) \ 1) * (K(x,w) * (v5 * R(K(y,x),z,u))). [para(6097(a,1),9700(a,1,1,1))]. 12244 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,R(K(x,y),z,u)). [para(6134(a,1),12243(a,1,1)),flip(a)]. 12245 (R(K(x,y),z,u) \ 1) * (K(y,w) * (v5 * R(K(x,y),z,u))) = T(K(y,w) * v5,K(y,R(x,z,u))). [hyper(285,a,10228,a(flip),b,12244,a),flip(a)]. 12247 R(K(x,y),z,u) * (K(x,w) * (v5 * R(K(y,x),z,u))) = T(K(x,w) * v5,K(x,R(y,z,u))). [para(6097(a,1),12245(a,1,1))]. 12248 (K(x,y) * z) * K(R(K(u,x),w,v5) \ 1,R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [hyper(66,a,11208,a,b,12247,a)]. 12249 (K(x,y) * z) * K(R(K(x,u),w,v5),R(K(u,x),w,v5) * (K(x,y) * z)) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(6097(a,1),12248(a,1,2,1))]. 12250 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * (K(x,y) * z),R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(10160(a,1),12249(a,1,2))]. 12251 (K(x,y) * z) * K(u,K(R(K(u,x),w,v5) * z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9827(a,1),12250(a,1,2,2))]. 12253 (K(x,y) * z) * K(u,K(z,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). [para(9830(a,1),12251(a,1,2,2))]. 12254 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [hyper(7896,a,12253,a),flip(a)]. 12256 T(x,K(R(y,z,u),w)) = T(x,K(y,R(w,z,u))). [hyper(11645,a,12254,a)]. 12257 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(7512,a,12254,a)]. 12259 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(285,a,11967,a(flip),b,12257,a),flip(a)]. 12260 T(x,K(y,R(z \ 1,u,w))) = T(x,K(z,R(y,u,w))). [hyper(285,a,10199,a(flip),b,12257,a),flip(a)]. 12261 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(606(a,1),12257(a,1,2,2)),flip(a)]. 12262 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,R(z,y,x))) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12260(a,1),11274(a,1,2))]. 12263 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(z,y) * K(R(y,u,w),z)). [hyper(66,a,11969,a(flip),b,12259,a)]. 12264 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [para(2229(a,1),12263(a,1,2)),flip(a)]. 12265 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(66,a,11972,a,b,12264,a)]. 12266 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(285,a,5130,a(flip),b,12265,a)]. 12267 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(37,a,5130,a(flip),b,12266,a)]. 12268 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). [hyper(285,a,10585,a(flip),b,8963,a),flip(a)]. 12269 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). [hyper(285,a,7884,a(flip),b,12268,a),flip(a)]. 12270 (K(x,y \ (x \ 1)) * L(K(y \ (x \ 1),x),z,u)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),9490(a,1,1,1))]. 12271 (K(x,y \ (x \ 1)) * K(L(y * x,z,u) \ 1,x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(6897(a,1),12270(a,1,1,2))]. 12272 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * ((y * (x * ((y \ 1) / x))) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(11515(a,1),12271(a,1,1,2))]. 12273 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(x,y \ (x \ 1)) \ w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(9289(a,1),12272(a,1,2,1))]. 12274 (K(x,y \ (x \ 1)) * K(L(y,z,u) \ (x \ 1),x)) * (K(y \ (x \ 1),x) * w) = w * L(w \ ((y * (x * ((y \ 1) / x))) \ w),z,u). [para(5334(a,1),12273(a,1,2))]. 12275 x * L(x \ ((y * (z * ((y \ 1) / z))) \ x),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [hyper(66,a,11946,a(flip),b,12274,a),flip(a)]. 12277 x * L(x \ (K(y,z \ (y \ 1)) \ x),u,w) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9289(a,1),12275(a,1,2,1,2,1))]. 12278 x * L(K(y \ (z \ 1),T(z,x)),u,w) = K(L(y,u,w) \ (z \ 1),z) * x. [para(7679(a,1),12277(a,1,2,1))]. 12279 x * K(L(y * z,u,w) \ 1,T(y,x)) = K(L(z,u,w) \ (y \ 1),y) * x. [para(9466(a,1),12278(a,1,2))]. 12280 K(L(x * y,z,u) \ 1,x) * w = K(L(y,z,u) \ (x \ 1),x) * w. [hyper(7684,a,12279,a)]. 12281 K(x,y \ (x \ 1)) / (K(L(y,z,u) \ (x \ 1),x) * K(x,y \ (x \ 1))) = L(K(y \ (x \ 1),x) \ 1,z,u). [para(12280(a,1),12115(a,1,2))]. 12282 L(K(x \ (y \ 1),y) \ 1,z,u) = K(y,L(x,z,u) \ (y \ 1)). [hyper(5454,a,12281,a),flip(a)]. 12284 L(K(x,y \ (x \ 1)),z,u) = K(x,L(y,z,u) \ (x \ 1)). [para(5320(a,1),12282(a,1,1))]. 12285 K(x,L(x * y,z,u) \ 1) = K(x,L(y,z,u) \ (x \ 1)). [hyper(66,a,9225,a(flip),b,12284,a)]. 12286 K(x \ 1,L(y,z,u) \ ((x \ 1) \ 1)) = K(L(x,z,u) \ 1,y \ x). [hyper(66,a,9728,a(flip),b,12285,a),flip(a)]. 12287 K(L(x,y,z) \ 1,u \ x) = K(x \ 1,L(u,y,z) \ x). [hyper(66,a,7157,a(flip),b,12286,a),flip(a)]. 12289 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(3075(a,1),8931(a,1,1,1,2))]. 12290 K(x,K(K(x \ y,x) * z,R(x \ y,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10160(a,1),11847(a,1,1))]. 12291 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(285,a,14,a(flip),b,12040,a),flip(a)]. 12293 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12039(a,1),12291(a,1,3))]. 12296 K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). [para(4815(a,1),12289(a,1,1,1))]. 12297 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). [para(115(a,1),12296(a,1,1,1)),flip(a)]. 12301 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). [para(3075(a,1),12297(a,2,1,3,2))]. 12302 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(14(a,1),12301(a,2,1,3))]. 12306 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4802(a,1),12302(a,2,1))]. 12307 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(87(a,1),12306(a,1,1,1,1,2))]. 12309 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(3075(a,1),12307(a,1,1,2))]. 12310 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(66,a,6737,a(flip),b,12309,a)]. 12312 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(27(a,2),12310(a,1,1,1,1)),flip(a)]. 12313 K(x,K(y,R(x \ z,z,u))) * R(K(x \ z,x) * K(y,K(x \ z,x)),z,u) = L((z * u) / ((x * (z / x)) * u),y,K(x \ z,x)). [para(9829(a,1),12290(a,1,1,2))]. 12315 K(x,K(y,R(z,y,u))) * R(K(x \ y,x) * K(z,K(x \ y,x)),y,u) = L((y * u) / ((x * (y / x)) * u),z,K(x \ y,x)). [para(10163(a,1),12313(a,1,1))]. 12316 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,z) * K(u,K(z \ x,z)),x,y). [para(10156(a,1),12315(a,1,1)),flip(a)]. 12317 L((x * y) / ((z * (x / z)) * y),u,K(z \ x,z)) = K(z,K(x,u)) * R(K(z \ x,T(z,u)),x,y). [para(7996(a,1),12316(a,2,2,1))]. 12319 L(R(K(x \ y,x),y,z),u,K(x \ y,x)) = K(x,K(y,u)) * R(K(x \ y,T(x,u)),y,z). [para(6142(a,1),12317(a,1,1))]. 12320 K(x,K(y,z)) * R(K(x \ y,T(x,z)),y,u) = R(K(x \ y,x),y,u). [hyper(66,a,9196,a(flip),b,12319,a),flip(a)]. 12322 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11966(a,1),11976(a,1,2,1,1))]. 12323 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11279(a,1),12322(a,1,2,1))]. 12324 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7942(a,1),12323(a,1,2,1,1))]. 12325 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11953(a,1),12324(a,1,2,1))]. 12326 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12012(a,1),12325(a,1,2)),flip(a)]. 12327 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(285,a,12022,a(flip),b,12326,a),flip(a)]. 12328 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(11966(a,1),12327(a,1,2))]. 12329 R(T(x,y) * K(y * L(x,z,u),T(x,y)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(5316(a,1),6188(a,1,1,1,2))]. 12330 R(R(x,y,L(x,z,u)),w,v5) * (((x * y) * L(x,z,u)) / T(x,y)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(6829(a,1),12329(a,1,1,1))]. 12331 R(R(x,y,L(x,z,u)),w,v5) * (y * L(x,z,u)) = (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5). [para(1580(a,1),12330(a,1,2))]. 12332 (((x * y) * L(x,z,u)) / T(x,y)) * R(T(x,y),w,v5) = (R(x,w,v5) * y) * L(x,z,u). [hyper(760,a,12331,a),flip(a)]. 12333 (x * L(y,z,u)) * R(T(y,x),w,v5) = (R(y,w,v5) * x) * L(y,z,u). [para(1580(a,1),12332(a,1,1))]. 12334 (x * (y * (1 / (z * (y / z))))) * a(x,K((1 / y) \ K(z \ y,z),1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(12199(a,1),6825(a,1,1,2))]. 12335 R(T(1 / x,y),x,K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),7314(a,2,2))]. 12336 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * (x \ K(x \ 1,y)))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12335(a,1,1,3,2,2))]. 12337 R(T(1 / x,y),x,K(x \ 1,y) \ (z * T(x \ 1,y))) * ((K(x \ 1,y) \ (z * T(x \ 1,y))) * x) = ((x \ z) * x) * T(x \ 1,y). [para(5135(a,1),12336(a,1,2,1,2,2))]. 12338 K(x \ 1,y) * T(K(x \ 1,y) \ (z * T(x \ 1,y)),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(7313,a,12337,a)]. 12339 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,1 / y),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5083(a,1),12334(a,1,2,2,1))]. 12340 (x * (y * (1 / (z * (y / z))))) * a(x,K((z \ y) * z,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(4598(a,1),12339(a,1,2,2))]. 12341 (x * (y * (1 / (z * (y / z))))) * a(x,K(y,y \ 1),K(z \ y,z)) = (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z). [para(5265(a,1),12340(a,1,2,2))]. 12342 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = (x * (y * (1 / (z * (y / z))))) * 1. [para(4899(a,1),12341(a,1,2)),flip(a)]. 12344 (x * K((1 / y) \ K(z \ y,z),1 / y)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [hyper(285,a,13,a(flip),b,12342,a),flip(a)]. 12346 (x * K((y \ z) * y,1 / z)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(5083(a,1),12344(a,1,1,2,1))]. 12347 (x * K((y \ z) * y,z \ 1)) * K(y \ z,y) = x * (z * (1 / (y * (z / y)))). [para(4598(a,1),12346(a,1,1,2))]. 12348 (x * K(y,y \ 1)) * K(z \ y,z) = x * (y * (1 / (z * (y / z)))). [para(5265(a,1),12347(a,1,1,2))]. 12349 x / ((y \ 1) * (z * (y / z))) = x * (y * (1 / (z * (y / z)))). [hyper(66,a,7421,a(flip),b,12348,a)]. 12351 K((T(x \ y,y \ x) * (1 / (x \ y))) \ (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(6883(a,1),11348(a,1,1,1))]. 12352 K(((T(x \ y,y \ x) \ 1) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(11456(a,1),12351(a,1,1))]. 12353 K((T((x \ y) \ 1,x \ y) * (x \ y)) * (T((y \ x) \ 1,y \ x) * x),z) = K(y,(T((y \ x) \ 1,y \ x) * x) / (T((y \ x) \ 1,y \ x) * (z \ x))). [para(2501(a,2),12352(a,1,1,1,1))]. 12354 K((T(x \ y,y \ x) * (1 / (x \ y))) * (T((x \ y) \ 1,x \ y) * y),z) = K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))). [para(6883(a,1),12353(a,1,1,1))]. 12355 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2618(a,1),10666(a,2,1))]. 12356 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(11518(a,1),12355(a,2,1))]. 12357 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(12(a,1),12356(a,2,2,2))]. 12358 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(16(a,1),12357(a,2,2))]. 12359 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(285,a,5190,a,b,12358,a),flip(a)]. 12361 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(10664(a,1),12359(a,1,1,1,2,1)),flip(a)]. 12362 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(12(a,1),12361(a,2,1,1,2))]. 12364 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(16(a,1),12362(a,2,1,1))]. 12365 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12364(a,1),10665(a,1,2))]. 12366 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2498,a,12365,a)]. 12367 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(11805,a,12366,a),flip(a)]. 12369 x * K(y \ L(y,z,u),a(u,z,y)) = x. [hyper(124,a,12367,a,b,79,a)]. 12370 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(5349,a,12369,a)]. 12371 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12370(a,1),6769(a,1,2)),flip(a)]. 12372 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [hyper(180,a,12371,a)]. 12374 R(T(x / (y * ((z * (y \ 1)) / z)),y),K(u,w),K(w,v5)) = (y * (((z * (y \ 1)) / z) * T(((z * (y \ 1)) / z) \ (y \ x),y))) * K(y \ 1,z). [para(605(a,1),11242(a,1,1))]. 12375 R(T(x / K(y,z \ 1),z),K(u,w),K(w,v5)) = (z * (((y * (z \ 1)) / y) * T(((y * (z \ 1)) / y) \ (z \ x),z))) * K(z \ 1,y). [para(5166(a,1),12374(a,1,1,1,2))]. 12376 (x * (((y * (x \ 1)) / y) * T(((y * (x \ 1)) / y) \ (x \ z),x))) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [hyper(66,a,5945,a(flip),b,12375,a),flip(a)]. 12377 (x * ((y * ((x \ 1) * T((x \ 1) \ T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(2155(a,1),12376(a,1,1,2))]. 12378 (x * ((y * (x \ T(x * T(x \ z,y),x))) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(838(a,1),12377(a,1,1,2,1,2))]. 12379 (x * ((y * T(x \ T(z,x),y)) / y)) * K(x \ 1,y) = T(z * K(x \ 1,y),x). [para(1360(a,1),12378(a,1,1,2,1,2))]. 12380 (x * (x \ T(y,x))) * K(x \ 1,z) = T(y * K(x \ 1,z),x). [para(209(a,1),12379(a,1,1,2))]. 12381 T(x * K(y \ 1,z),y) = T(x,y) * K(y \ 1,z). [hyper(513,a,12380,a),flip(a)]. 12383 T(K(x,y \ 1) * z,y) = K(x,y \ 1) * T(z,y). [hyper(6275,a,12381,a),flip(a)]. 12386 T((x / y) * K(y \ 1,z),y) = (y \ x) * K(y \ 1,z). [para(118(a,1),12381(a,2,1))]. 12387 T(K(x \ 1,y) \ z,x) = K(y,x \ 1) * T(z,x). [para(5334(a,2),12383(a,1,1))]. 12388 T(K(x,y \ 1) * T(z,y),K(x,y \ 1)) = T(z * K(x,y \ 1),y). [para(12383(a,1),7511(a,1,1))]. 12390 (K(x,y \ 1) * z) * K(z,y) = T(K(y \ 1,x) \ z,y). [hyper(285,a,6322,a,b,12387,a)]. 12391 x * ((x \ y) * K(x \ 1,z)) = y * K(x \ 1,z). [hyper(124,a,12386,a(flip),b,6204,a(flip))]. 12392 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(14(a,1),12391(a,1,2,1)),flip(a)]. 12393 K(x \ 1,(x \ y) \ z) = K(x \ 1,y \ (x * z)). [hyper(6756,a,12392,a),flip(a)]. 12394 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6174,a,12392,a)]. 12395 R(x,y,K(x \ 1,z)) = x. [hyper(475,a,12392,a)]. 12397 R(x \ 1,y,K(x,z)) = x \ 1. [para(3341(a,1),12395(a,1,3))]. 12398 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [para(12397(a,1),112(a,1,1)),flip(a)]. 12400 K(x \ 1,L(y,z,x)) = K(x \ 1,y). [hyper(66,a,6650,a(flip),b,12394,a)]. 12401 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4586(a,1),12394(a,1,1,1)),flip(a)]. 12402 K(x,L(y,z,y) \ 1) = (u * K(y \ 1,x)) \ u. [para(12394(a,1),7399(a,1,1,2)),flip(a)]. 12403 K(x \ 1,T((x * y) \ z,u)) = K(x \ 1,T(y \ (x \ z),u)). [para(509(a,1),12400(a,1,2))]. 12404 K(x \ 1,R(y,z,x)) = K(x \ 1,y). [hyper(66,a,6107,a(flip),b,12401,a)]. 12405 K(x \ 1,(y * x) / (z * x)) = K(x \ 1,y / z). [para(113(a,1),12404(a,1,2))]. 12406 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [hyper(285,a,7399,a(flip),b,12402,a),flip(a)]. 12407 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(4221(a,2),12406(a,2,2))]. 12409 L(K(x \ 1,y \ (x * (z \ u))),z \ u,z) = K(x \ 1,(z * (x \ y)) \ u). [para(12393(a,1),6637(a,1,1))]. 12410 K(x,((x \ 1) \ y) \ z) = K(x,y \ ((x \ 1) * z)). [hyper(6756,a,12398,a),flip(a)]. 12411 L(K(x,y),z,x \ 1) = K(x,y). [hyper(445,a,12398,a)]. 12412 K(x,y) * ((y \ 1) * (z * K(y,x))) = T((y \ 1) * z,K(y,x)). [hyper(224,a,12398,a,b,5360,a),flip(a)]. 12413 K(x,L(y,z,x \ 1)) = K(x,y). [hyper(66,a,8735,a(flip),b,12411,a)]. 12414 K(x,((x \ 1) * y) \ z) = K(x,y \ ((x \ 1) \ z)). [hyper(66,a,6637,a(flip),b,12411,a)]. 12416 T(x,L(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12413,a(flip),b,5125,a(flip)),flip(a)]. 12418 T(x,L(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12416,a),flip(a)]. 12419 T(x,((x \ 1) \ y) \ z) = T(x,y \ ((x \ 1) * z)). [para(453(a,1),12418(a,1,2)),flip(a)]. 12420 K(x \ 1,y / R(z,x,x \ 1)) = K(x \ 1,y / z). [hyper(66,a,9801,a,b,12405,a)]. 12421 K(x \ 1,y / T(z * (x \ 1),x)) = K(x \ 1,y / (x \ z)). [para(606(a,1),12420(a,1,2,2))]. 12422 (K(x \ 1,y) \ z) * K(z,x) = T(K(x \ 1,y) \ z,x). [para(5334(a,2),12390(a,1,1))]. 12423 K(x / K(y \ 1,z),y) = K(x,y). [hyper(37,a,8343,a,b,12422,a)]. 12424 K(K(x \ 1,y) \ z,x) = K(z,x). [hyper(37,a,5130,a(flip),b,12422,a)]. 12425 K(x * K(y \ 1,z),y) = K(x,y). [para(16(a,1),12423(a,1,1)),flip(a)]. 12426 K(x,y / K(x \ 1,z)) = 1 / K(y,x). [para(12423(a,1),5344(a,1,2)),flip(a)]. 12427 K(x * K(y,z \ 1),z) = K(x,z). [para(7396(a,1),12423(a,1,1))]. 12428 K(x / T(y,z \ 1),z) = K(x / y,z). [para(7419(a,1),12423(a,1,1)),flip(a)]. 12431 K(K(x,y \ 1) * z,y) = K(z,y). [para(5334(a,1),12424(a,1,1))]. 12432 K(T(x,y \ 1) \ z,y) = K(x \ z,y). [para(5585(a,1),12424(a,1,1)),flip(a)]. 12433 K(x * K(y \ z,u),z \ y) = K(x,z \ y). [para(6468(a,1),12425(a,1,1,2))]. 12434 K(x * K(y,y \ z),y / z) = K(x,y / z). [para(5612(a,1),12427(a,1,1,2))]. 12435 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5818(a,1),12427(a,1,1))]. 12436 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5612(a,1),12431(a,1,1,1))]. 12439 K(x,y / K(x \ 1,z)) = K(x,y). [hyper(285,a,5344,a(flip),b,12426,a),flip(a)]. 12440 K(x \ 1,y / K(x,z)) = K(x \ 1,y). [para(3341(a,1),12439(a,1,2,2))]. 12441 K(x,y * K(z,x \ 1)) = K(x,y). [para(7396(a,1),12439(a,1,2))]. 12442 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6392(a,1),12441(a,1,2,2))]. 12443 K(x,K(x \ 1,y) * z) = K(x,z). [para(7723(a,1),12441(a,1,2)),flip(a)]. 12444 T(x,K(x \ 1,y) * z) = x * K(x,z). [hyper(124,a,12443,a(flip),b,5125,a(flip)),flip(a)]. 12445 K(x,T(y,x \ 1) \ z) = K(x,y \ z). [para(5545(a,1),12443(a,1,2))]. 12446 K(x,y * (K(z,x \ 1) * u)) = K(x,y * u). [para(6254(a,1),12443(a,1,2)),flip(a)]. 12447 K(x / (y \ T(z,y \ 1)),y) = K((y * x) / z,y). [hyper(11083,a,12428,a)]. 12449 K(x \ 1,y / T(z,x)) = K(x \ 1,y / z). [para(7419(a,1),12440(a,1,2)),flip(a)]. 12450 T(x,K(x \ 1,y) * z) = T(x,z). [hyper(285,a,5130,a,b,12444,a),flip(a)]. 12452 T(x,T(y,x \ 1) \ z) = T(x,y \ z). [para(5545(a,1),12450(a,1,2))]. 12453 T(x,(y / (x \ 1)) \ z) = T(x,((x \ 1) \ y) \ z). [para(5854(a,1),12450(a,1,2)),flip(a)]. 12456 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,(y * x) \ (x * z)). [hyper(66,a,9754,a(flip),b,12445,a)]. 12458 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(6585(a,1),12433(a,1,1)),flip(a)]. 12459 K(x * (y / z),z / y) = K(x * (z \ y),z / y). [para(6523(a,1),12434(a,1,1))]. 12460 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5854(a,1),12436(a,1,1)),flip(a)]. 12461 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(6523(a,1),12442(a,1,2))]. 12462 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5360(a,1),12446(a,1,2,2)),flip(a)]. 12464 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(8573(a,1),12462(a,1,2,2))]. 12466 K(x / (y \ T(z,y \ 1)),y) != u | K(x / (y \ z),y) = u. [para(12447(a,2),11083(a,1))]. 12467 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((K(x * (L(z,u,w) \ y),L(z,u,w) / y) * L(z,u,w)) / y,z). [para(12459(a,1),10923(a,1,1,1,1)),flip(a)]. 12468 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(66,a,10701,a,b,12460,a)]. 12469 T(K(x \ y,z * (y \ x)),x) = K((x / y) \ 1,z * (x / y)). [para(12461(a,1),8067(a,1,1))]. 12470 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(6603(a,1),12464(a,1,2,2)),flip(a)]. 12471 K(x \ 1,T((x * y) \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ ((x \ 1) * z),u)). [para(404(a,1),12403(a,2,2,1,2))]. 12472 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(66,a,6247,a(flip),b,12412,a),flip(a)]. 12473 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(5019,a,12472,a),flip(a)]. 12474 T(x * y,K(x,z)) = x * T(y,K(x,z)). [hyper(4760,a,12472,a),flip(a)]. 12475 T(x \ y,K(x,z)) = x \ T(y,K(x,z)). [hyper(4941,a,12473,a),flip(a)]. 12477 T(x * (y * K(z \ x,z)),K(x,z)) = x * (K(z \ x,z) * y). [para(10004(a,1),12474(a,2,2))]. 12478 T(x \ K(y,z),K(x,y)) = x \ K(y,z). [para(2227(a,1),12475(a,2,2))]. 12479 K(x,T(y \ x,K(y,z))) = K(x,y \ x). [para(12475(a,2),10485(a,1,2))]. 12480 T(K(x,y) / z,T(z,x)) = z \ K(x,y). [hyper(10093,a,12478,a)]. 12481 K(x,T(y \ x,K(R(y,z,u),w))) = K(x,y \ x). [para(12256(a,2),12479(a,1,2))]. 12482 K(x,(y * z) \ T(z,u)) = T(K(x,y \ K(z,u)),z). [para(12480(a,1),10823(a,1,1,2)),flip(a)]. 12483 T(K(x,(y / z) \ K(z,u)),z) = K(x,y \ T(z,u)). [para(17(a,1),12482(a,1,2,1)),flip(a)]. 12484 K(x,T(y / z,z) \ K(z,u)) = K(x,y \ T(z,u)). [hyper(66,a,9550,a,b,12483,a)]. 12485 K(x,(y * z) \ T(y,u)) = K(x,z \ K(y,u)). [para(208(a,1),12484(a,1,2,1)),flip(a)]. 12486 K((x * y) \ T(x,z),u) = (u \ 1) / (u \ K(u,y \ K(x,z))). [para(12485(a,1),5633(a,1,2,2)),flip(a)]. 12487 K(x \ 1,y / (z * (x \ 1))) = K(x \ 1,y / (x \ z)). [hyper(66,a,12449,a(flip),b,12421,a)]. 12488 K(x \ 1,y / (x \ z)) = K(x \ 1,(z / y) \ x). [hyper(66,a,8686,a(flip),b,12487,a),flip(a)]. 12489 R(K(x \ 1,(y / (z / u)) \ x),z / u,u) = K(x \ 1,z / ((x \ y) * u)). [para(12488(a,1),6101(a,1,1))]. 12490 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ (x \ (x * z))). [hyper(285,a,9451,a(flip),b,12456,a),flip(a)]. 12491 K((x / y) \ 1,z * (x / y)) = K(y / x,z * (y \ x)). [hyper(10968,a,12469,a),flip(a)]. 12492 K(x / y,z * (y / x)) = K(x / y,z * (x \ y)). [hyper(10990,a,12491,a)]. 12493 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(12470(a,1),8377(a,1,1))]. 12494 L(K(x,x \ y),z / K(x,x \ y),y) \ (y * z) = y * (K(x \ y,x) * z). [hyper(66,a,11241,a,b,12477,a)]. 12495 K((x * y) \ T(x,z),u) = K(y \ K(x,z),u). [hyper(285,a,5633,a(flip),b,12486,a),flip(a)]. 12496 K((x \ y) \ K(x,z),u) = K(y \ T(x,z),u). [para(15(a,1),12495(a,1,1,1)),flip(a)]. 12497 K(T(x / y,T(y,x)) \ K(y,z),u) = K(x \ T(y,z),u). [para(3981(a,2),12496(a,1,1,1))]. 12498 T(K((x / y) \ K(y,z),u),T(y,x)) = K(x \ T(y,z),u). [hyper(66,a,8981,a(flip),b,12497,a)]. 12499 T(K(x \ T(y,z),u),T(y,x)) = K((x / y) \ K(y,z),u). [hyper(7987,a,12498,a)]. 12500 K((x / y) \ K(y,z),u) = T(K(x \ T(y,z),u),y). [hyper(66,a,10062,a(flip),b,12499,a),flip(a)]. 12501 K((x / y) \ K(y,z),u) = K(x \ T(y,z),T(u,y)). [hyper(285,a,7681,a,b,12500,a),flip(a)]. 12502 K((x / L(y,z,u)) \ K(L(y,z,u),w),(v5 * y) / v5) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [para(637(a,1),12501(a,2,2))]. 12503 K(x,(((x \ 1) \ y) * (x \ 1)) \ z) = K(x,y \ z). [para(14(a,1),12490(a,2,2,2))]. 12504 K(x,((x \ 1) * y) \ z) = K(x,(y * (x \ 1)) \ z). [para(14(a,1),12503(a,1,2,1,1)),flip(a)]. 12505 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(8428,a,12493,a)]. 12506 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(10942,a,12505,a),flip(a)]. 12508 T(x * K(y,z \ 1),z) = T(x,z) * K(y,z \ 1). [hyper(10753,a,12388,a),flip(a)]. 12509 T(K(x \ 1,y) * z,x) = K(x \ 1,y) * T(z,x). [hyper(6275,a,12508,a),flip(a)]. 12513 T(x * K(y,(z \ 1) \ 1),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12508(a,2,2))]. 12514 T(K(x \ 1,y) * (K(x \ 1,y) \ (z * T(x \ 1,y))),x) = ((x \ z) * x) * T(x \ 1,y). [hyper(285,a,12338,a(flip),b,12509,a),flip(a)]. 12516 T(x * K(y,z),z \ 1) = T(x,z \ 1) * K(y,z). [para(4596(a,1),12513(a,1,1,2))]. 12517 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(6275,a,12516,a),flip(a)]. 12518 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(30(a,2),12517(a,2,2))]. 12519 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [para(12517(a,2),6239(a,1,2))]. 12520 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(263,a,12519,a)]. 12521 R(K(x,y),z,x \ 1) = K(x,y). [hyper(475,a,12520,a)]. 12522 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(11080,a,12521,a)]. 12523 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [hyper(124,a,12522,a(flip),b,5805,a),flip(a)]. 12524 T(x,R(y,z,x \ 1)) = x * K(x,y). [hyper(124,a,12522,a(flip),b,5125,a(flip)),flip(a)]. 12526 T(x,R(y,z,x \ 1)) = T(x,y). [hyper(285,a,5130,a,b,12524,a),flip(a)]. 12527 T(x,T((y * (x \ 1)) / z,z / (x \ 1))) = T(x,(z / (x \ 1)) \ y). [para(706(a,1),12526(a,1,2))]. 12528 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(285,a,3195,a(flip),b,12523,a),flip(a)]. 12529 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(122,a,12528,a,b,4428,a)]. 12530 T(x,T((y * (x \ 1)) / z,z / 1)) = T(x,(z / (x \ 1)) \ y). [hyper(66,a,10686,a(flip),b,12527,a)]. 12531 T(x,T((y * (x \ 1)) / z,z)) = T(x,(z / (x \ 1)) \ y). [para(86(a,1),12530(a,1,2,2))]. 12532 T(x,(y / (x \ 1)) \ z) = T(x,y \ (z * (x \ 1))). [para(118(a,1),12531(a,1,2)),flip(a)]. 12533 T(x,(y / (x \ 1)) \ z) = T(x,y \ (x \ z)). [hyper(285,a,10694,a(flip),b,12532,a),flip(a)]. 12534 T(x,((x \ 1) \ y) \ z) = T(x,y \ (x \ z)). [hyper(66,a,12453,a(flip),b,12533,a)]. 12535 T(x,y \ ((x \ 1) * z)) = T(x,y \ (x \ z)). [hyper(66,a,12419,a(flip),b,12534,a)]. 12536 T(x,(y * (x \ 1)) \ (x \ z)) = T(x,T(y,x \ 1) \ z). [para(27(a,2),12534(a,1,2,1)),flip(a)]. 12537 (x * T(y,z \ (y \ u))) / T(x,y) = T(y,T(z \ ((y \ 1) * u),x)). [para(12535(a,1),8359(a,1,1,2))]. 12538 T(x,R(y,x \ 1,x) \ z) = T(x,T(y,x \ 1) \ z). [hyper(66,a,9626,a(flip),b,12536,a)]. 12539 T(x,R(y,x \ 1,x) \ z) = T(x,y \ z). [hyper(285,a,12452,a(flip),b,12538,a),flip(a)]. 12540 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [hyper(66,a,9607,a(flip),b,12539,a)]. 12541 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(657(a,1),12529(a,2,2))]. 12542 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5382(a,1),12541(a,1,2)),flip(a)]. 12543 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(12542(a,1),8608(a,1,2,1))]. 12544 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(66,a,9104,a(flip),b,12543,a)]. 12545 T(x,T(y \ ((x \ 1) * z),u)) = T(x,T(y \ (x \ z),u)). [hyper(8364,a,12537,a),flip(a)]. 12546 K(x,T(y \ ((x \ 1) * z),u)) = x \ T(x,T(y \ (x \ z),u)). [hyper(122,a,12545,a(flip),b,5130,a(flip)),flip(a)]. 12547 K(x,T(y \ ((x \ 1) * z),u)) = K(x,T(y \ (x \ z),u)). [hyper(285,a,5125,a,b,12546,a),flip(a)]. 12548 K(x \ 1,T(y \ ((x \ 1) \ z),u)) = K(x \ 1,T(y \ (x * z),u)). [hyper(66,a,10804,a(flip),b,12547,a),flip(a)]. 12549 K(x \ 1,T(y \ (x * ((x \ 1) * z)),u)) = K(x \ 1,T(y \ z,u)). [para(14(a,1),12548(a,1,2,1,2)),flip(a)]. 12550 K(x \ 1,T(y \ L(z,x \ 1,x),u)) = K(x \ 1,T(y \ z,u)). [para(242(a,1),12549(a,1,2,1,2))]. 12551 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(3645(a,1),12407(a,1,2,1))]. 12552 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(66,a,5949,a(flip),b,12551,a)]. 12553 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(90(a,1),12552(a,2,2,1,2))]. 12554 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(79(a,1),12553(a,2,2,1))]. 12556 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(186(a,1),12554(a,2,2,2))]. 12557 L(K(x,y),z,y \ 1) = K(x,y). [para(12(a,1),12556(a,2,2))]. 12561 K(L(x,y,z \ 1),z) = K(x,z). [hyper(66,a,8726,a(flip),b,12557,a)]. 12562 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,6664,a(flip),b,12557,a)]. 12563 ((x \ 1) * y) * K(z,x) = (x \ 1) * (y * K(z,x)). [hyper(124,a,12557,a(flip),b,7068,a(flip))]. 12565 K((x * (((y \ 1) * x) \ z)) / x,y) = K(((y \ 1) \ z) / x,y). [para(789(a,1),12561(a,1,1))]. 12566 (x \ 1) * (y * K((z * u) / z,x)) = ((x \ 1) * y) * K(u,T(x,z)). [para(8015(a,1),12563(a,1,2)),flip(a)]. 12567 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(66,a,10689,a(flip),b,12562,a)]. 12568 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(285,a,12435,a(flip),b,12567,a),flip(a)]. 12569 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(66,a,8199,a(flip),b,12568,a)]. 12570 K(x \ (y * T(z,x)),T(z,x)) = K(y / ((z \ 1) * x),z). [hyper(66,a,11303,a(flip),b,12569,a),flip(a)]. 12571 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(66,a,8626,a(flip),b,12569,a)]. 12572 K(T(x,y \ 1) \ (z * y),y) = K((x * (y \ 1)) \ z,y). [para(116(a,1),12569(a,1,1,1)),flip(a)]. 12573 K(L(x,y,y \ 1) \ z,y) = K(x \ (y \ (z * y)),y). [hyper(285,a,9347,a(flip),b,12571,a),flip(a)]. 12574 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(285,a,8199,a(flip),b,12573,a),flip(a)]. 12575 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(12574(a,1),5722(a,1,2,1,2))]. 12576 K((x * T(y,z)) / z,y) = K(x / ((y \ 1) * z),y). [hyper(10953,a,12570,a)]. 12577 K(x / ((y \ 1) * z),y) = K(x / (y \ z),y). [hyper(11084,a,12576,a),flip(a)]. 12579 K(x / (y \ T(z,y \ 1)),y) = K(x / (z * (y \ 1)),y). [para(116(a,1),12577(a,1,1,2)),flip(a)]. 12580 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [hyper(66,a,12432,a(flip),b,12572,a),flip(a)]. 12581 L(K(x * y,x),y,z) = K(z \ ((z * y) * x),x). [hyper(66,a,9123,a,b,12580,a)]. 12582 K(x \ ((x * y) * z),z) \ K(z * y,z) = a(x,y,K(z * y,z)). [para(12581(a,1),11114(a,1,1))]. 12583 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ ((y * K(z,y)) * x),x). [para(11321(a,1),12581(a,2,1,2,1))]. 12584 K(x / (y * (z \ 1)),z) = K(x / (z \ y),z). [hyper(12466,a,12579,a),flip(a)]. 12585 L(K(x * y,T(x,z)),y,z) = K((z * y) / (x \ z),x). [hyper(66,a,11169,a,b,12584,a)]. 12586 L(K(x * y,T(x,z)),y,z) = K((z / (z * y)) \ x,x). [hyper(285,a,12106,a(flip),b,12585,a),flip(a)]. 12587 L(K(x * y,T(y,z)),x,z) = K((z / (z * x)) \ y,y). [para(6120(a,2),12586(a,1,1))]. 12588 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(11000,a,12565,a)]. 12589 K(x,y \ ((y * z) * x)) * K(x * z,x) = a(y,z,K(x * z,x)). [hyper(5464,a,12582,a)]. 12590 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [hyper(38,a,11111,a,b,12589,a)]. 12591 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6626(a,2),12590(a,1,1))]. 12592 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,(z * (y / z)) \ (T(z,z \ y) * x)). [para(7270(a,1),12590(a,2,2,2,1))]. 12593 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(267(a,1),12591(a,2,2))]. 12594 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(285,a,6658,a(flip),b,12593,a),flip(a)]. 12596 ((x \ 1) * y) * K(z,T(x,u)) = (x \ 1) * (y * K(z,T(x,u))). [para(8015(a,1),12566(a,1,2,2)),flip(a)]. 12597 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5865,a,12575,a),flip(a)]. 12598 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2958(a,1),12597(a,1,1,1))]. 12599 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(66,a,6705,a(flip),b,12598,a)]. 12600 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(285,a,9402,a(flip),b,12599,a),flip(a)]. 12601 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(66,a,12588,a(flip),b,12600,a),flip(a)]. 12602 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(10953,a,12601,a),flip(a)]. 12603 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(285,a,12107,a(flip),b,12602,a),flip(a)]. 12604 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(14(a,1),12603(a,1,1,1)),flip(a)]. 12605 K(((x \ 1) * y) / z,x) = K(y / (z * x),x). [hyper(66,a,12109,a(flip),b,12604,a)]. 12606 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(16(a,1),12604(a,1,1,1)),flip(a)]. 12607 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(4597,a,12606,a)]. 12608 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(8940,a,12607,a)]. 12610 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3062(a,2),12608(a,1,1,2))]. 12611 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(66,a,8937,a(flip),b,12610,a)]. 12613 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(66,a,9634,a(flip),b,12611,a)]. 12615 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(66,a,11915,a(flip),b,12613,a),flip(a)]. 12616 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8455,a,12615,a),flip(a)]. 12618 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(285,a,9355,a(flip),b,12616,a),flip(a)]. 12619 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(66,a,11731,a,b,12618,a)]. 12621 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12619(a,1),6963(a,1,1,1))]. 12622 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(66,a,9379,a(flip),b,12621,a),flip(a)]. 12624 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(17(a,1),12622(a,1,3,2)),flip(a)]. 12625 K(L(x,y \ z,y) \ 1,u \ (x * (y \ z))) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,5977,a(flip),b,12409,a)]. 12626 K(R(x,y / z,z) \ 1,(u / (y / z)) \ x) = K(x \ 1,y / ((x \ u) * z)). [hyper(66,a,5969,a(flip),b,12489,a)]. 12627 L(K(x,x \ y),z * K(x \ y,x),y) \ (y * z) = y * (K(x \ y,x) * z). [para(7396(a,1),12494(a,1,1,2))]. 12628 K(x \ 1,R(y / (z / u),z / u,u) \ x) = K(x \ 1,z / ((x \ y) * u)). [hyper(66,a,12229,a(flip),b,12626,a)]. 12629 L(K(x,x \ y),z,y) \ (y * z) = y * (K(x \ y,x) * z). [para(7587(a,1),12627(a,1,1))]. 12631 x * (K(y \ x,y) * z) != u | L(K(y \ x,y),z,x) * (x * z) = u. [para(12629(a,1),6129(a,1))]. 12633 K(x \ 1,y / ((x \ z) * u)) = K(x \ 1,((z * u) / y) \ x). [para(489(a,1),12628(a,1,2,1)),flip(a)]. 12634 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T((x * y) \ z,u)). [hyper(66,a,12550,a(flip),b,12471,a),flip(a)]. 12635 K(x \ 1,T(y \ ((x \ 1) * z),u)) = K(x \ 1,T(y \ (x \ z),u)). [hyper(285,a,12403,a(flip),b,12634,a),flip(a)]. 12636 K((x \ 1) \ 1,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(66,a,11501,a(flip),b,12635,a),flip(a)]. 12637 K(x,T(y \ ((x \ 1) \ z),K(x,u))) = K(x,y \ (z * x)). [hyper(9881,a,12636,a)]. 12638 K(x,y \ ((x \ 1) \ z)) = K(x,y \ (z * x)). [hyper(10958,a,12637,a)]. 12639 K(x,((x \ 1) * y) \ z) = K(x,y \ (z * x)). [hyper(66,a,12414,a,b,12638,a)]. 12640 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [hyper(66,a,12504,a(flip),b,12639,a)]. 12641 K(T(x,y),y \ (z * T(x,y))) = K(x,z / ((x \ 1) * y)). [hyper(66,a,9785,a(flip),b,12639,a),flip(a)]. 12642 K(x,((x \ 1) \ y) \ (z * x)) = K(x,y \ z). [para(15(a,1),12639(a,1,2,1)),flip(a)]. 12643 K(x,y \ ((x \ 1) * (z * x))) = K(x,y \ z). [hyper(66,a,12410,a(flip),b,12642,a)]. 12644 K(x,y \ ((x \ 1) * z)) = K(x,y \ (x \ z)). [hyper(66,a,10508,a(flip),b,12643,a)]. 12645 K(T(x,y),z \ (T(x,y) \ y)) = K(x,((x \ 1) * y) / z). [hyper(11218,a,12644,a),flip(a)]. 12646 K(x \ 1,y \ ((x \ 1) \ z)) = K(x \ 1,y \ (x * z)). [hyper(66,a,7197,a(flip),b,12644,a),flip(a)]. 12647 K(1 / x,y \ ((1 / x) \ z)) = K(1 / x,y \ (x * z)). [para(90(a,1),12644(a,1,2,2,1)),flip(a)]. 12648 K(x,(y * T(x,z)) / z) = K(x,y / ((x \ 1) * z)). [hyper(10954,a,12641,a)]. 12649 K(x,y / ((x \ 1) * z)) = K(x,y / (x \ z)). [hyper(66,a,9591,a(flip),b,12648,a),flip(a)]. 12651 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(T(x,x \ 1),R(y,x \ 1,z)). [hyper(66,a,8020,a(flip),b,12649,a),flip(a)]. 12652 K(T(x,y),z \ (x \ y)) = K(x,((x \ 1) * y) / z). [hyper(66,a,9792,a(flip),b,12645,a)]. 12654 K(x,((x \ 1) * y) / z) = K(x,y / (z * x)). [hyper(66,a,9594,a(flip),b,12652,a),flip(a)]. 12655 K(x,(y * z) / (((x \ 1) * z) * x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,9862,a(flip),b,12654,a),flip(a)]. 12656 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = L(K(x \ 1,w \ (x * u)),y,z). [para(12646(a,1),9651(a,2,1))]. 12657 K(1 / x,y \ (x * z)) = K(x \ 1,(z \ y) \ x). [hyper(9661,a,12647,a),flip(a)]. 12659 K(x \ 1,(y \ z) \ x) != u | K(x \ 1,z \ (x * y)) = u. [para(12657(a,1),5766(a,1))]. 12660 K(x,(y * z) / L(z,x \ 1,x)) = K(x,L(y,z,x \ 1)). [hyper(66,a,8680,a(flip),b,12655,a)]. 12661 K(x,(y * z) / L(z,x \ 1,x)) = K(x,y). [hyper(285,a,12413,a(flip),b,12660,a),flip(a)]. 12663 K(x,y / L(z,x \ 1,x)) = K(x,y / z). [para(17(a,1),12661(a,1,2,1))]. 12664 K(x,y / (((x \ 1) * z) * x)) = K(x,y / z). [hyper(66,a,8680,a,b,12663,a)]. 12665 K(x,y / ((x \ 1) \ z)) = K(x,y / (z * x)). [para(15(a,1),12664(a,1,2,2,1)),flip(a)]. 12666 R(K(x,(y / z) / (u * x)),y / z,z) = K(x,y / (((x \ 1) \ u) * z)). [para(12665(a,1),6101(a,1,1))]. 12667 K(x,(((x \ 1) * y) * z) / (x \ z)) = K(x,R(y,x \ 1,z)). [hyper(285,a,3344,a(flip),b,12651,a),flip(a)]. 12668 K(x,(y / (((x \ 1) * z) * y)) \ x) = K(x,R(z,x \ 1,y)). [hyper(66,a,10856,a(flip),b,12667,a)]. 12669 R(K(x,(x \ 1) \ y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [hyper(285,a,9021,a,b,12668,a)]. 12670 K(x,y / (((x \ 1) \ z) * u)) = K(x,y / ((z * x) * u)). [hyper(66,a,6101,a(flip),b,12666,a),flip(a)]. 12671 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,7200,a(flip),b,12670,a),flip(a)]. 12672 R(K(x,x * y),y,z) = K(x,(z / (((x \ 1) * ((x \ 1) \ y)) * z)) \ x). [para(9111(a,1),12669(a,1,1))]. 12673 R(K(x,x * y),y,z) = K(x,(z / (y * z)) \ x). [para(15(a,1),12672(a,2,2,1,2,1))]. 12674 K(x,R(y \ 1,y,z) \ x) = R(K(x,x * y),y,z). [hyper(285,a,7169,a,b,12673,a)]. 12676 T(x,R(y \ 1,y,z) \ x) = x * R(K(x,x * y),y,z). [hyper(124,a,12674,a(flip),b,5125,a(flip)),flip(a)]. 12677 K(L(x,y,z) \ 1,(u \ w) \ ((x \ 1) \ 1)) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(285,a,5977,a(flip),b,12656,a),flip(a)]. 12678 K(L(x,y,z) \ 1,(u \ w) \ x) = K(L(x,y,z) \ 1,w \ (x * u)). [hyper(66,a,7157,a(flip),b,12677,a)]. 12679 K(L(x,y,z) \ 1,u \ (x * w)) = K(x \ 1,L(w \ u,y,z) \ x). [hyper(66,a,12287,a(flip),b,12678,a),flip(a)]. 12680 K(x \ 1,L((y \ z) \ u,y \ z,y) \ x) = K(x \ 1,(y * (x \ u)) \ z). [hyper(66,a,12625,a(flip),b,12679,a),flip(a)]. 12681 K(x \ 1,(y \ (z * u)) \ x) = K(x \ 1,(z * (x \ u)) \ y). [para(453(a,1),12680(a,1,2,1))]. 12683 K(x \ 1,(y * (x \ z)) \ u) != w | K(x \ 1,(y * z) \ (x * u)) = w. [para(12681(a,1),12659(a,1))]. 12684 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K((z * y) \ (y * (K(z,y) * x)),x). [para(4409(a,1),12583(a,2,1,2))]. 12685 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,L((z \ y) \ x,y / z,z)). [para(4548(a,1),12592(a,2,2))]. 12686 L(K(x,x * (y \ z)),y \ z,z * (y / z)) = K(x,y \ (z * x)). [hyper(285,a,6678,a(flip),b,12685,a),flip(a)]. 12687 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(L(z \ x,T(z,y),y),x). [para(5540(a,1),12684(a,2,1))]. 12688 L(K(x * ((y * z) \ y),x),(y * z) \ y,z * y) = K(z \ x,x). [hyper(285,a,6666,a(flip),b,12687,a),flip(a)]. 12690 ((x \ y) * x) * T(x \ 1,z) = T(y * T(x \ 1,z),x). [para(15(a,1),12514(a,1,1)),flip(a)]. 12691 (x \ (T(x \ 1,y) \ z)) * x = T(x \ 1,y) \ T(z,x). [hyper(38,a,4932,a(flip),b,12690,a),flip(a)]. 12693 x / (y * (T(z \ 1,u) * (T(z \ 1,u) \ T(y \ x,z)))) = K(z,x / (y * ((1 / z) \ T(z \ 1,u)))). [para(12691(a,1),6887(a,1,2,2,2))]. 12694 K((x / L(y,z,u)) \ K(L(y,z,u),w),T(y,v5)) = K(x \ T(L(y,z,u),w),(v5 * y) / v5). [hyper(8430,a,12502,a)]. 12695 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K((x / L(y,z,u)) \ 1,T(y,v5)). [hyper(66,a,8588,a(flip),b,12694,a),flip(a)]. 12697 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(L(y,z,u) / x,T(y,v5)). [hyper(285,a,5830,a(flip),b,12695,a),flip(a)]. 12698 K(x \ T(L(y,z,u),w),(v5 * y) / v5) = K(x \ L(y,z,u),T(y,v5)). [hyper(285,a,7745,a(flip),b,12697,a),flip(a)]. 12699 K(x \ L(T(y,z),u,w),(v5 * y) / v5) = K(x \ L(y,u,w),T(y,v5)). [para(30(a,2),12698(a,1,1,2))]. 12700 K(x \ L(T(y,z),u,w),T(y,v5)) = K(x \ L(y,u,w),T(y,v5)). [hyper(8430,a,12699,a)]. 12701 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x * y)). [hyper(66,a,11827,a,b,12700,a)]. 12702 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = y / (z * T(z \ y,x)). [para(15(a,1),12693(a,1,2,2)),flip(a)]. 12703 K(x,y / (z * ((1 / x) \ T(x \ 1,u)))) = K(x,y / z). [hyper(285,a,5688,a(flip),b,12702,a),flip(a)]. 12705 K(x,y / (z * (T(x \ 1,u) * x))) = K(x,y / z). [para(6123(a,1),12703(a,1,2,2,2))]. 12706 K(x,y / (z * K(x \ 1,u))) = K(x,y / z). [hyper(66,a,7202,a(flip),b,12705,a)]. 12707 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / (((x \ 1) \ z) * u)). [para(6565(a,1),12706(a,1,2,2))]. 12708 K(x,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(285,a,12670,a(flip),b,12707,a),flip(a)]. 12709 K((x \ 1) \ 1,y / ((z / (x \ 1)) * u)) = K(x,y / ((z * x) * u)). [hyper(5767,a,12708,a)]. 12710 K(x \ 1,y / ((z * (x \ 1)) * u)) = K(x \ 1,y / ((z / x) * u)). [hyper(66,a,7265,a(flip),b,12708,a),flip(a)]. 12711 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,y / ((x \ z) * u)). [hyper(66,a,12671,a(flip),b,12710,a),flip(a)]. 12712 K(x \ 1,y / ((z / x) * u)) = K(x \ 1,((z * u) / y) \ x). [hyper(285,a,12633,a(flip),b,12711,a),flip(a)]. 12713 K((x \ 1) \ 1,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(66,a,12709,a(flip),b,12712,a),flip(a)]. 12714 K(x,((y * z) / u) \ (x \ 1)) = K(x,u / ((y * x) * z)). [hyper(9881,a,12713,a)]. 12715 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(66,a,8683,a(flip),b,12714,a)]. 12716 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,8679,a(flip),b,12715,a),flip(a)]. 12717 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(116(a,1),12715(a,1,2,2)),flip(a)]. 12718 K(x,R(y / (z * u),z * u,x)) = K(x,(y * x) / ((z * x) * u)). [para(113(a,2),12715(a,1,2))]. 12719 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(66,a,10721,a(flip),b,12716,a),flip(a)]. 12720 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(66,a,9577,a(flip),b,12716,a)]. 12721 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [hyper(124,a,12720,a(flip),b,5125,a(flip))]. 12722 (x \ 1) / (x \ K(x,y / (x * (z * u)))) = K(y / ((x * z) * u),x). [para(12720(a,1),5633(a,1,2,2))]. 12723 K(x,(y * x) / ((z * x) * u)) = K(x,y / (z * u)). [hyper(66,a,9089,a(flip),b,12718,a),flip(a)]. 12725 K(x,(((y * x) * z) / u) \ x) = K(x,u / (y * z)). [hyper(66,a,10854,a(flip),b,12723,a)]. 12726 K(x,y / ((1 / x) * z)) = K(x,(z / y) \ x). [para(88(a,1),12725(a,1,2,1,1)),flip(a)]. 12727 K(x,y / ((1 / x) * (z * x))) = K(x,y / z). [hyper(285,a,10862,a(flip),b,12726,a),flip(a)]. 12728 K(x,y / ((1 / x) * (x / z))) = K(x,y / (z \ 1)). [hyper(66,a,7263,a(flip),b,12727,a)]. 12729 K(x,((x / y) / z) \ x) = K(x,z / (y \ 1)). [hyper(66,a,12726,a(flip),b,12728,a)]. 12730 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (((y \ 1) * x) \ 1)). [para(200(a,2),12729(a,1,2,1,1))]. 12731 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(15(a,1),12719(a,1,2,2,2)),flip(a)]. 12732 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(25(a,2),12731(a,2,2))]. 12734 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10718,a,12732,a)]. 12735 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,R(z,y,T(x,z * y))). [hyper(66,a,10723,a,b,12732,a)]. 12736 L(K(x,x \ y),z,y) = K(x,R(x \ y,x,z)). [hyper(66,a,11736,a(flip),b,12732,a)]. 12737 K(x,R(x \ y,x,T(z,y))) = R(K(x,x \ y),z,y). [hyper(66,a,10717,a(flip),b,12732,a),flip(a)]. 12738 L(T(K(x,y),z),u,y * x) = T(K(x,R(y,x,u)),z). [para(12732(a,1),30(a,2,1))]. 12739 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(12734(a,1),476(a,1,1))]. 12740 R(K(x,x \ y),y,z) = L(K(x,x \ y),z,y). [hyper(285,a,9021,a,b,12736,a)]. 12741 R(K(x,x \ y),z,y) = R(K(x,x \ y),y,z). [hyper(66,a,12228,a(flip),b,12737,a),flip(a)]. 12742 R(K(x,x \ y),z,y) = L(K(x,x \ y),z,y). [hyper(285,a,12740,a(flip),b,12741,a),flip(a)]. 12743 (x * y) * L(K(z,z \ y),x,y) = (x * K(z,z \ y)) * y. [para(12742(a,1),10597(a,1,2))]. 12744 L(T(K(x,y),z),u,y * x) = K(x,T(R(y,x,u),z)). [hyper(285,a,7681,a,b,12738,a),flip(a)]. 12745 L(T(K(x,y),z),u,y * x) = K(x,R(T(y,z),x,u)). [para(32(a,2),12744(a,2,2))]. 12746 L(K(x,T(y,z)),u,y * x) = K(x,R(T(y,z),x,u)). [para(7681(a,2),12745(a,1,1))]. 12747 L(K(x \ y,T(x,z)),u,x * (x \ y)) = R(K(x \ y,T(x,z)),y,u). [hyper(285,a,8622,a(flip),b,12746,a),flip(a)]. 12748 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(66,a,6813,a(flip),b,12739,a),flip(a)]. 12749 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(5274(a,1),12748(a,2,1))]. 12750 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(66,a,9681,a(flip),b,12749,a)]. 12752 L(x,K(y,z),z * y) = x. [hyper(766,a,12750,a)]. 12753 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(513,a,12750,a)]. 12754 (x * y) \ T(y * x,z) = K(y,x) * K(y * x,z). [hyper(122,a,5130,a,b,12750,a)]. 12756 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(122,a,15,a(flip),b,12750,a),flip(a)]. 12757 L(x,K(y \ z,y),z) = x. [para(15(a,1),12752(a,1,3))]. 12758 L(x,K(y,y \ z),z) = x. [para(5612(a,1),12757(a,1,2))]. 12759 (x * (y / x)) \ (y * z) = K(x \ y,x) * z. [hyper(66,a,6278,a(flip),b,12758,a)]. 12760 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [hyper(124,a,12756,a(flip),b,5544,a)]. 12762 K(x,K(y,z)) * ((z * K(x,y)) \ u) = (K(x,y) * z) \ u. [para(7884(a,2),12756(a,1,1))]. 12764 L(K(x \ y,x),z,y) * (y * z) = ((x \ y) * x) * z. [hyper(12631,a,12753,a)]. 12765 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [hyper(37,a,11579,a,b,12753,a)]. 12768 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(15(a,1),12759(a,1,2)),flip(a)]. 12769 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(12760(a,1),12312(a,2,1,1))]. 12770 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),12765(a,1,2)),flip(a)]. 12771 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(12768(a,1),12753(a,1,2)),flip(a)]. 12773 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(66,a,11862,a(flip),b,12754,a),flip(a)]. 12774 a(x,y,x) * K(x,x * y) = K(x,y). [hyper(7409,a,12773,a)]. 12775 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5452,a,12773,a)]. 12776 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(2236,a,12773,a)]. 12777 x \ R(x,y,x) = a(x,y,x). [hyper(66,a,5764,a(flip),b,12773,a)]. 12778 x * a(x,y,x) = R(x,y,x). [hyper(124,a,12773,a(flip),b,5764,a(flip))]. 12780 K(x,x * y) * a(x,y,x) = K(x,y). [para(12773(a,1),5445(a,1,2))]. 12781 T(x * y,x) / x = y * a(x,y,x). [para(12773(a,1),7477(a,1,2)),flip(a)]. 12782 (x / y) * a(y,z,y) = x / L(y,z,y). [para(12773(a,1),11094(a,1,2))]. 12783 K(x * y,x) * (K(x,y) * z) = z * a(x,y,x). [para(12773(a,1),11055(a,2,2))]. 12784 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(12773(a,1),11942(a,1,1)),flip(a)]. 12785 K(x,y) * (K(x * y,x) * z) = a(x,y,x) * z. [para(12773(a,1),11945(a,1,1)),flip(a)]. 12786 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [para(12773(a,1),11966(a,1,1)),flip(a)]. 12787 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(66,a,9211,a,b,12777,a)]. 12788 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(66,a,8802,a(flip),b,12777,a),flip(a)]. 12789 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(124,a,12777,a(flip),b,12213,a),flip(a)]. 12791 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(12777(a,1),9709(a,1,3))]. 12792 x \ R(x,y,x) != z | a(x,y,x) = z. [para(12778(a,1),304(a,1,2)),flip(b)]. 12793 (x * a(y,z,y)) / R(y,z,y) = R(x / y,y,a(y,z,y)). [para(12778(a,1),113(a,2,2)),flip(a)]. 12795 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(12791(a,1),394(a,1,1)),flip(a)]. 12796 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(15(a,1),12774(a,1,2,2))]. 12797 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (R(a(z,u,z),K(z,z * u),y * x) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(12774(a,1),1191(a,1,2,1)),flip(a)]. 12799 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7409,a,12776,a)]. 12801 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(15(a,1),12780(a,1,1,2))]. 12802 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(12780(a,1),5453(a,1,2)),flip(b)]. 12803 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(66,a,1656,a,b,12781,a)]. 12804 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(12781(a,1),118(a,1,1))]. 12805 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(12781(a,2),215(a,1,2,2))]. 12807 (x * (y * z)) \ ((x * y) * (T(u * L(z,y,x),u) / u)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(12781(a,2),441(a,1,2,2))]. 12808 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) != w | L(L(a(u,z,u),z,y),y * z,x) = w. [para(12781(a,2),769(a,1,2,2,2))]. 12809 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (T(y,a(x,y,x)) * z) \ ((T(x * y,x) / x) * z). [para(12781(a,2),7642(a,1,2,1)),flip(a)]. 12810 a(x,y,x) * K(y,x) = K(y * x,x). [hyper(285,a,5785,a,b,12799,a),flip(a)]. 12811 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(12799(a,1),1191(a,1,2,1))]. 12812 a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(6764(a,1),12799(a,2,1))]. 12813 a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). [para(8244(a,1),12799(a,1,2))]. 12814 a(x,y,x) \ x = L(x,y,x). [hyper(10928,a,12782,a(flip))]. 12815 (x * y) / L(y,z,y) = x * a(y,z,y). [para(16(a,1),12782(a,1,1)),flip(a)]. 12816 a(x,y,T(x,z)) = x \ R(x,y,x). [hyper(9688,a,12788,a)]. 12818 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(12816(a,2),12792(a,1))]. 12819 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [hyper(66,a,9363,a(flip),b,12789,a)]. 12820 (x / y) * R(y,z,y) = x * a(y,z,y). [hyper(66,a,9207,a(flip),b,12789,a)]. 12821 x * (y * a(x,z,x)) = R(x,z,x) * y. [hyper(124,a,12789,a(flip),b,1148,a)]. 12822 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(123,a,12789,a(flip),b,9207,a(flip))]. 12823 (x * y) * a(x,z,x) = R(x,z,x) * y. [para(14(a,1),12789(a,1,2)),flip(a)]. 12824 R(x,y,x) * (T(x,z) \ u) = (K(z,x) * u) * a(x,y,x). [para(5527(a,1),12789(a,1,2))]. 12825 R(x,y,x) * (K(x,z) * (x \ u)) = K(x,z) * (u * a(x,y,x)). [para(12789(a,1),6263(a,2,2))]. 12826 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(12789(a,1),9362(a,1,1))]. 12827 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(12815(a,1),11613(a,1,2))]. 12828 R(x,y,x) / x = a(x,y,x). [hyper(121,a,12820,a(flip),b,1621,a(flip)),flip(a)]. 12829 (x * y) * a(y,z,y) = x * R(y,z,y). [para(16(a,1),12820(a,1,1)),flip(a)]. 12830 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(12820(a,2),46(a,1))]. 12832 ((x \ y) * L(x,z,u)) * R(T(x,x \ y),w,T(x,x \ y)) = (y * L(x,z,u)) * a(T(x,x \ y),w,T(x,x \ y)). [para(1581(a,1),12820(a,1,1))]. 12833 a(x,y,x) * x = R(x,y,x). [hyper(136,a,12828,a)]. 12834 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(12828(a,1),11438(a,1,1)),flip(a)]. 12836 (x * y) \ (R(x,z,x) * y) != u | L(a(x,z,x),y,x) = u. [para(12821(a,1),447(a,1,2))]. 12837 (x * y) \ (R(x,z,x) * y) = a(x,z,x). [hyper(128,a,12823,a)]. 12839 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(128,a,12827,a)]. 12840 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(122,a,15,a(flip),b,12827,a),flip(a)]. 12841 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(17(a,1),12827(a,1,2)),flip(a)]. 12842 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(128,a,12829,a)]. 12844 (x * (y * z)) \ (x * (y * R(z,u,z))) != w | L(a(z,u,z),y * z,x) = w. [para(12829(a,1),447(a,1,2,2))]. 12845 (a(x,y,x) \ 1) \ K(z * x,a(x,y,x)) = (((z * R(x,y,x)) / (z * x)) \ 1) \ 1. [para(12829(a,1),5812(a,1,1,1,1)),flip(a)]. 12847 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(66,a,1245,a(flip),b,12839,a)]. 12848 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(37,a,1243,a,b,12841,a)]. 12849 (x * y) \ (R(x,z,x) * y) = (u * x) \ (u * R(x,z,x)). [hyper(285,a,12837,a,b,12842,a)]. 12850 L(x,y,x) \ 1 = x \ a(x,y,x). [hyper(122,a,12,a(flip),b,12847,a),flip(a)]. 12851 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(66,a,10916,a,b,12847,a)]. 12852 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(8961(a,1),12847(a,1,2,1))]. 12853 K(R(L(x,y,x),x \ a(x,y,x),z),u) = K(L(x,y,x),u). [para(12850(a,1),7023(a,1,1,2))]. 12854 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(122,a,12848,a(flip),b,9205,a(flip))]. 12856 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10743,a,12784,a),flip(a)]. 12857 a(x,y,x) * z = z * a(x,y,x). [hyper(66,a,12783,a(flip),b,12784,a),flip(a)]. 12858 T(x,a(y,z,y)) = x. [hyper(224,a,12783,a(flip),b,12784,a(flip))]. 12859 T(a(x,y,x),z) = a(x,y,x). [hyper(224,a,12784,a(flip),b,12783,a(flip))]. 12861 K(x * y,y) * (K(y,x) * z) = a(y,x,y) * z. [para(5785(a,2),12784(a,1,1))]. 12862 x / a(y,z,y) = a(y,z,y) \ x. [hyper(630,a,12858,a),flip(a)]. 12863 K(x,a(y,z,y)) = 1. [hyper(58,a,12858,a)]. 12865 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12858(a,1),226(a,1,2)),flip(b)]. 12867 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12858(a,1),630(a,1))]. 12868 x * K(y,a(z,u,z)) != w | x = w. [para(12863(a,2),133(a,1,2))]. 12869 T(a(x,y,x),z) = T(a(x,y,x),u). [hyper(285,a,12859,a,b,12859,a)]. 12870 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(285,a,12777,a,b,12859,a),flip(a)]. 12871 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12859(a,1),223(a,1,2,1)),flip(a)]. 12873 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(285,a,12823,a(flip),b,12857,a),flip(a)]. 12874 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12862(a,1),12854(a,1,2))]. 12876 T(a(1 / x,y,1 / x),z) = (1 / x) \ R(1 / x,y,x \ 1). [para(3532(a,1),12870(a,2,2))]. 12880 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12873(a,1),479(a,1,1,1))]. 12882 K(x,x \ y) * (K(y,x) * z) = a(x,x \ y,x) * z. [para(15(a,1),12785(a,1,2,1,1))]. 12883 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6626(a,2),12786(a,1,2,1))]. 12884 K(x * y,y) * (x * (K(y,x) * z)) = a(y,x,y) * (x * z). [para(4427(a,1),12861(a,1,2))]. 12885 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(66,a,11943,a(flip),b,12883,a)]. 12886 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(133,a,12885,a),flip(a)]. 12888 (a(x,y,x) \ 1) * z = a(x,y,x) \ z. [para(12886(a,2),12885(a,1,1))]. 12889 (a(x,y,x) \ 1) \ z = a(x,y,x) * z. [hyper(122,a,14,a(flip),b,12888,a)]. 12890 (a(x,y,x) \ 1) \ z = z * a(x,y,x). [hyper(285,a,12857,a(flip),b,12889,a),flip(a)]. 12891 (x \ L(x,y,x)) \ z = z * a(x,y,x). [para(12886(a,1),12890(a,1,1))]. 12892 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(66,a,12765,a(flip),b,12771,a),flip(a)]. 12894 (x * (y / x)) \ (T(x,x * (x \ y)) * z) = y \ (L(x,x \ y,x) * z). [hyper(122,a,5671,a(flip),b,12892,a),flip(a)]. 12895 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(37,a,5360,a(flip),b,12892,a),flip(a)]. 12896 L(x,y,K(z,z \ y)) = x. [hyper(5569,a,12895,a)]. 12898 L(x,y * z,K(z,y)) = x. [para(5336(a,1),12896(a,1,3))]. 12899 L(x,y,z * K(y,z)) = L(x,y,z). [hyper(66,a,4624,a(flip),b,12898,a)]. 12900 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(66,a,6157,a,b,12899,a),flip(a)]. 12905 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(185,a,12900,a(flip))]. 12907 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(12795(a,1),12804(a,1,1))]. 12908 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [hyper(124,a,12851,a(flip),b,5534,a)]. 12909 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(x,z,x) = w. [para(12851(a,2),46(a,1))]. 12910 T(x,R(a(y,z,y),u,w)) = x. [hyper(228,a,12871,a)]. 12911 L(K(x \ y,x),z,y) = K(x \ y,x). [hyper(38,a,12770,a,b,12764,a),flip(a)]. 12914 (x \ y) * (a(x,x \ y,x) * z) = (y / x) * (K(y,x) * z). [para(12882(a,1),5563(a,1,2))]. 12915 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). [para(12907(a,1),1799(a,1,1)),flip(a)]. 12916 K(x,y * ((K(x,z) * u) \ w)) = K(x,y * ((u * K(x,z)) \ w)). [para(12762(a,1),8276(a,1,2,2))]. 12917 R(x / y,y,a(y,z,y)) = x / y. [hyper(66,a,12822,a(flip),b,12793,a),flip(a)]. 12919 R((x * y) / y,y,a(y,z,y)) = x. [hyper(285,a,16,a(flip),b,12917,a),flip(a)]. 12920 R(x,y,a(y,z,y)) = x. [para(16(a,1),12919(a,1,1))]. 12923 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ ((z * x) * a(x,y,x)). [para(12920(a,1),663(a,1,1,1)),flip(a)]. 12924 L(a(x,y,x),z,x) = (u * x) \ (u * R(x,y,x)). [hyper(12836,a,12849,a)]. 12926 L(a(x \ y,z,x \ y),u,x \ y) = y \ (x * R(x \ y,z,x \ y)). [hyper(285,a,154,a(flip),b,12924,a),flip(a)]. 12927 L(a(x,y,x),z,x) = (u * T(x,w)) \ ((u * K(x,w)) * R(x,y,x)). [para(6311(a,1),12924(a,2,1))]. 12928 K(R(x,x \ a(x,y,x),z),u) = K(L(x,y,x),u). [hyper(66,a,10367,a(flip),b,12853,a)]. 12929 K(R(x,x \ a(x,y,x),z),u) = K(x,u). [hyper(285,a,9095,a(flip),b,12928,a),flip(a)]. 12932 R(K(x,y),a(x,z,x),u) = K(x,y). [hyper(66,a,7018,a(flip),b,12929,a)]. 12933 (K(x,y) * a(x,z,x)) * u = K(x,y) * (a(x,z,x) * u). [para(12932(a,1),112(a,1,1)),flip(a)]. 12934 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12820(a,2),12908(a,1,2))]. 12935 (a(x,y,x) * K(x,z)) * u = K(x,z) * (a(x,y,x) * u). [para(10244(a,1),12933(a,1,1))]. 12936 (x \ y) * (a(x,x \ y,x) * z) = (y / T(x,y)) * L(z,K(y,x),x \ y). [hyper(285,a,10023,a,b,12914,a),flip(a)]. 12937 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(12781(a,1),12803(a,1,1)),flip(a)]. 12938 a(x,R(y,z,u),x) * R(y,z,u) = R(y * a(x,y,x),z,u). [hyper(66,a,12857,a,b,12937,a)]. 12939 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * (y \ T(x,K(y,z))))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [hyper(122,a,12825,a,b,446,a)]. 12940 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(12909,a,12852,a),flip(a)]. 12942 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12624(a,1),12876(a,2,2))]. 12943 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,9706,a(flip),b,12934,a)]. 12944 (K(x,y) * z) * a(y,u,y) = y * (L(T(y,x),u,y) \ z). [hyper(66,a,12824,a(flip),b,12943,a)]. 12945 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12943(a,1),9414(a,1,2))]. 12946 a(x,y,x) * (K(z,x) * u) = x * (L(T(x,z),y,x) \ u). [hyper(66,a,12857,a,b,12944,a)]. 12947 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * (K(x,w) * R(x,y,x))). [para(6338(a,1),12927(a,2,2))]. 12948 L(a(x,y,x),z,x) = (u * T(x,w)) \ (u * R(T(x,w),y,x)). [para(9210(a,1),12947(a,2,2,2))]. 12949 (x * T(y,z)) \ (x * R(T(y,z),u,y)) = a(y,u,y). [hyper(4902,a,12948,a)]. 12950 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = a(y,u,y). [para(6321(a,1),12949(a,1,1))]. 12951 K(x / ((y * z) * u),y) = K(x / (y * (z * u)),y). [hyper(5667,a,12722,a),flip(a)]. 12952 K(x / (y * (z * x)),y) = K(z \ (y \ 1),y). [hyper(7550,a,12951,a),flip(a)]. 12953 K(x / ((y * x) * z),z) = K(y \ (z \ 1),z). [hyper(66,a,8664,a,b,12952,a)]. 12954 K((x \ y) / (z * y),z) = K(x \ (z \ 1),z). [para(15(a,1),12952(a,1,1,2,2))]. 12955 K((x / y) \ (z \ 1),z) = K(y / (x * z),z). [para(17(a,1),12953(a,1,1,2,1)),flip(a)]. 12956 K(((x \ y) * x) / (z * (y / (y / x))),z) = K((x / y) \ (z \ 1),z). [para(6026(a,1),12954(a,1,1,1))]. 12957 R(K(x \ y,T(x,z)),y,u) = L(K(x \ y,T(x,z)),u,y). [para(15(a,1),12747(a,1,3)),flip(a)]. 12958 K(x,K(y,z)) * L(K(x \ y,T(x,z)),u,y) = R(K(x \ y,x),y,u). [para(12957(a,1),12320(a,1,2))]. 12959 K(((x \ y) * x) / (z * (y / (y / x))),z) = K(y / (x * z),z). [hyper(285,a,12955,a(flip),b,12956,a),flip(a)]. 12960 K(R(x \ (y / z),x,y / (y / z)),x) = K(y / (z * x),x). [hyper(66,a,5923,a,b,12959,a)]. 12961 R(K(x \ y,x),y,z) = L(K(x \ y,x),z,y). [hyper(11695,a,12958,a),flip(a)]. 12962 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(285,a,12911,a(flip),b,12961,a),flip(a)]. 12964 K(R(x \ y,x,z),x) = K(x \ y,x). [hyper(66,a,10573,a(flip),b,12962,a)]. 12965 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(66,a,12960,a(flip),b,12964,a)]. 12966 K(R(x,y,z),y) = K(y \ (y * x),y). [para(14(a,1),12964(a,1,1,1))]. 12967 K(R(x,y,z),y) = K(R(x,y,u),y). [hyper(285,a,12966,a,b,12966,a)]. 12969 K(R(x,y,z),y) = K(x,y). [hyper(285,a,625,a(flip),b,12966,a),flip(a)]. 12970 K(R(x,y,z),y) != u | K(x,y) = u. [para(12966(a,2),10996(a,1))]. 12971 K(x,R(y,x,z)) = K(x,y). [hyper(11081,a,12969,a)]. 12974 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [hyper(66,a,9024,a(flip),b,12969,a)]. 12978 L(K(x,x \ y),z,y) = K(x,x \ y). [hyper(66,a,12736,a,b,12971,a)]. 12979 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(66,a,8980,a(flip),b,12971,a)]. 12982 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,R(1 / y,y,x) \ T(x,y)). [para(12971(a,1),12262(a,1,2,2))]. 12992 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(12967(a,1),9023(a,1,2)),flip(a)]. 12995 K(R(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(9860(a,1),12970(a,1))]. 12998 (x * K(y,y \ z)) * z = (x * z) * K(y,y \ z). [para(12978(a,1),12743(a,1,2)),flip(a)]. 12999 K(((x \ 1) * y) / z,x) = K(x \ (y / z),x). [hyper(66,a,12605,a,b,12965,a)]. 13000 K((T(x,y) \ z) / u,x) = K(x \ (z / u),x). [hyper(66,a,11197,a,b,12965,a)]. 13001 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(66,a,9603,a,b,12965,a)]. 13002 K(x \ (y / (z * y)),x) = K(z \ (x \ 1),x). [hyper(66,a,12953,a(flip),b,12965,a),flip(a)]. 13004 K(x,L(T(x \ y,z),x,z)) = K(x,x \ ((z * y) / z)). [hyper(66,a,9907,a,b,12979,a)]. 13005 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(66,a,9593,a,b,12979,a)]. 13006 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(66,a,8679,a(flip),b,12979,a)]. 13007 T(x,R(y,x,z)) = T(x,y). [hyper(285,a,9083,a(flip),b,12992,a),flip(a)]. 13011 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(494(a,1),13007(a,1,2))]. 13012 T(x,y) \ R(T(x,y),y,z) = x \ R(x,y,z). [para(13007(a,1),9027(a,1,1))]. 13013 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(13001(a,1),7790(a,1,1))]. 13014 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(14(a,1),13005(a,1,2,1)),flip(a)]. 13015 K(x \ y,((y / x) \ z) / u) = K(x \ y,(x \ y) \ (z / u)). [hyper(66,a,10305,a,b,13006,a)]. 13016 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(13006(a,1),12721(a,1,2))]. 13017 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(7552,a,12974,a)]. 13018 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(11563(a,2),12995(a,1))]. 13020 (T(x * K(x \ (y / z),x),u) * w) / (T(x,u) * w) = K(((x \ 1) * y) / z,T(x,u)). [para(12999(a,1),6115(a,1,1,1,1,2))]. 13021 K((T(x,y) \ z) / u,R(x,w,v5)) = R(x,w,v5) \ R(x * K(x \ (z / u),x),w,v5). [para(13000(a,1),5805(a,1,2,1,2)),flip(a)]. 13022 K(x \ (y / (z * y)),T(x,u)) = K(u,K(x,z)) * K(z \ (x \ 1),x). [para(13002(a,1),10130(a,1,2)),flip(a)]. 13023 K(R(x,y,z) * u,x) * K(x,u) = x \ R(x,u,R(T(x,u),y,z)). [hyper(66,a,10725,a(flip),b,13012,a)]. 13024 T(x * K(y,x),y) \ R(T(x * K(y,x),y),y,z) = (x * K(y,x)) \ (((y * x) * z) / (y * z)). [para(5379(a,1),13012(a,2,2))]. 13027 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(7726,a,13013,a)]. 13028 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(66,a,10470,a(flip),b,13027,a)]. 13029 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(13028(a,1),7399(a,1,1,2)),flip(a)]. 13030 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(5180,a,13016,a),flip(a)]. 13031 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(285,a,7399,a(flip),b,13029,a),flip(a)]. 13032 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(8426,a,13031,a)]. 13033 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(87(a,1),13032(a,1,2,1,2)),flip(a)]. 13034 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(66,a,9457,a,b,13033,a)]. 13035 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(12971(a,1),13017(a,1,1))]. 13037 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ ((x * z) / x)). [hyper(66,a,9455,a,b,13015,a)]. 13038 K(x \ y,(x \ y) \ (y / z)) = K(x \ y,x / z). [para(90(a,1),13015(a,1,2,1)),flip(a)]. 13039 x \ R(x,y,R(T(x,y),z,u)) = L(x,y,R(x,z,u)) \ x. [hyper(66,a,10647,a(flip),b,13023,a),flip(a)]. 13040 K(x \ (y / (z * y)),T(x,u)) = K(z \ (x \ 1),T(x,u)). [hyper(285,a,10502,a(flip),b,13022,a),flip(a)]. 13042 K(((x / y) * (z * y)) \ (x * (z * y)),z) = K(y,z). [hyper(285,a,12971,a(flip),b,12735,a),flip(a)]. 13044 K(x,((y / z) * (z * x)) \ (y * (z * x))) = K(x,z). [hyper(66,a,9915,a(flip),b,13042,a)]. 13045 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * (y * (((x \ 1) \ y) / y)))) = K(((x \ 1) \ y) / y,y). [para(3831(a,2),13044(a,1,2,1,2))]. 13046 (x * (y / x)) \ (T(x,y) * z) = y \ (L(x,x \ y,x) * z). [para(15(a,1),12894(a,1,2,1,2))]. 13047 x \ (L(y,y \ x,y) * ((x / y) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [hyper(66,a,11156,a(flip),b,13046,a),flip(a)]. 13048 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,(x \ y) \ y) * (x \ y)). [para(595(a,1),12926(a,2,2))]. 13049 x \ (T(y,x) * ((y \ x) * L(K(x,y),z,u))) = a(u,z,K(y,x)). [para(12073(a,1),13047(a,1,2))]. 13050 T(x,y) * ((x \ y) * L(K(y,x),z,u)) = y * a(u,z,K(x,y)). [hyper(138,a,13049,a),flip(a)]. 13051 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(10021(a,1),12805(a,1,2,2))]. 13052 ((x \ y) * a(x,x \ y,x)) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [hyper(122,a,12936,a(flip),b,103,a)]. 13053 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5666,a,12945,a),flip(a)]. 13054 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(116(a,1),13051(a,1,2)),flip(a)]. 13055 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(66,a,32,a,b,13011,a)]. 13056 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4814(a,1),13034(a,2,2))]. 13057 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(285,a,4123,a(flip),b,13055,a),flip(a)]. 13058 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(285,a,10437,a(flip),b,13056,a),flip(a)]. 13059 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(285,a,10067,a(flip),b,13058,a),flip(a)]. 13060 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(285,a,32,a,b,13057,a),flip(a)]. 13061 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(13030(a,1),13060(a,1,1))]. 13062 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(16(a,1),13061(a,1,1,2,2)),flip(a)]. 13063 T(x,R(x,y,z) \ u) = T(x,x \ u). [hyper(54,a,13062,a)]. 13064 x / R(T(y,y \ x),z,u) = R(y,z,u) \ x. [para(13062(a,1),332(a,1,2))]. 13065 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(13062(a,1),5643(a,1,2,1))]. 13066 T(x,x \ R(x,y,z)) = x. [hyper(192,a,13063,a),flip(a)]. 13068 (x \ R(x,y,z)) * x = R(x,y,z). [hyper(124,a,13066,a(flip),b,117,a(flip))]. 13069 R(x,y,z) / x = x \ R(x,y,z). [para(13066(a,1),249(a,1,2))]. 13070 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(13066(a,1),5137(a,1,1,1)),flip(a)]. 13071 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(13066(a,1),5179(a,1,2,1)),flip(a)]. 13072 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(12787(a,1),13068(a,1,1))]. 13073 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(13069(a,1),493(a,1,1))]. 13074 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(13069(a,1),9343(a,1,1))]. 13075 (x * (y \ R(y,z,y))) * T(y \ L(y,z,y),y \ R(y,z,y)) = R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)). [para(13069(a,1),11807(a,1,2,2))]. 13076 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7453(a,1),13072(a,1,2)),flip(a)]. 13079 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [para(597(a,1),13064(a,1,2,1))]. 13081 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [hyper(180,a,13079,a)]. 13083 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [para(87(a,1),13081(a,1,1,1,1)),flip(a)]. 13084 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(13081(a,1),9680(a,1,2,1)),flip(a)]. 13086 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5806(a,1),13083(a,2,1))]. 13087 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(7514(a,1),13083(a,1,1)),flip(a)]. 13088 x / (x / R(K(y,z),u,w)) = R(T(K(y,z),x),u,w). [hyper(66,a,8918,a,b,13087,a)]. 13089 (R(K(x,y),z,u) * w) \ w = R(T(K(y,x),w),z,u). [para(6133(a,1),13087(a,1,1))]. 13090 x / (x / R(K(y,z),u,w)) = R(K(y,T(z,x)),u,w). [para(7681(a,2),13088(a,2,1))]. 13091 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(112(a,1),13089(a,1,1))]. 13093 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(13070(a,2),306(a,1))]. 13095 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(285,a,79,a(flip),b,13071,a),flip(a)]. 13097 K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). [para(13095(a,1),8316(a,1,1,2))]. 13098 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7681(a,2),13091(a,2,1))]. 13099 ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). [para(8330(a,1),13098(a,2,1))]. 13100 R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). [para(5334(a,1),13073(a,1,1))]. 13101 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(13073(a,2),8083(a,1,1))]. 13102 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(13073(a,1),9021(a,2,2))]. 13103 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(13076(a,2),47(a,1))]. 13104 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),T(x,x * (y * z))). [hyper(11081,a,13101,a)]. 13105 K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). [para(5458(a,1),13101(a,2,2))]. 13106 K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(13101(a,1),10114(a,2,2))]. 13107 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(66,a,5643,a(flip),b,13065,a),flip(a)]. 13108 K(x \ (R(x,y,z) / u),R(x,y,z)) = K(u \ 1,R(x,y,z)). [hyper(66,a,6485,a(flip),b,13107,a),flip(a)]. 13111 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). [para(13107(a,1),5097(a,1,1,2))]. 13112 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(285,a,7796,a(flip),b,12769,a),flip(a)]. 13113 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(27(a,2),13112(a,1,1,3))]. 13114 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7761(a,1),13113(a,2,1))]. 13115 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(66,a,7018,a(flip),b,13114,a)]. 13116 (K(x * y,z) * ((x * y) / x)) * x = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),6588(a,2,2))]. 13117 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = (x * y) * L(K(y * x,T(z,y)),y,x). [para(13115(a,1),8554(a,2,2))]. 13118 (K(x * y,z) * ((x * y) / x)) * x = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13116,a),flip(a)]. 13119 (K(x * y,z) * ((x * y) / x)) * x = x * (K(y * x,z) * y). [para(7682(a,1),13118(a,2,2))]. 13120 (K(x * y,z) * y) * T(x,y) = x * (K(y * x,z) * y). [hyper(66,a,6581,a(flip),b,13119,a)]. 13121 (K(x * y,z) * y) * T(x,y) != x * u | K(y * x,z) * y = u. [para(13120(a,2),46(a,1))]. 13122 (((x * R(y,z,y)) / (x * y)) \ 1) \ 1 = a(y,z,y) * K(x * y,a(y,z,y)). [hyper(66,a,12889,a(flip),b,12845,a),flip(a)]. 13123 a(x,y,x) * K(z * x,a(x,y,x)) = (R(a(x,y,x),x,z) \ 1) \ 1. [para(12834(a,1),13122(a,1,1,1)),flip(a)]. 13124 a(x,y,x) * K(z * x,a(x,y,x)) = R((a(x,y,x) \ 1) \ 1,x,z). [hyper(285,a,13083,a,b,13123,a),flip(a)]. 13125 a(x,y,x) * K(z * x,a(x,y,x)) = R(a(x,y,x),x,z). [para(12372(a,1),13124(a,2,1))]. 13126 R(a(x,y,x),x,z) = a(x,y,x). [hyper(12868,a,13125,a),flip(a)]. 13128 ((a(R(x,y,z),u,R(x,y,z)) * R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [hyper(66,a,470,a,b,13126,a)]. 13129 ((a(x / y,z,x / y) * (x / y)) * y) / x = a(x / y,z,x / y). [hyper(66,a,114,a,b,13126,a)]. 13130 (K(x * y,z) * T(x,y)) \ T(T(x,y),K(y,z)) = K(z,x * y). [para(7286(a,1),12982(a,2,2))]. 13132 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [para(8406(a,1),13130(a,1,2))]. 13133 K((T(x,y) \ z) / u,R(x,w,v5)) = K(x \ (z / u),R(x,w,v5)). [hyper(285,a,5805,a(flip),b,13021,a),flip(a)]. 13134 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(y \ (R(y,u,w) / x),R(y,u,w)). [hyper(66,a,10281,a(flip),b,13133,a)]. 13136 K(x \ (T(y,z) \ R(y,u,w)),R(y,u,w)) = K(x \ 1,R(y,u,w)). [hyper(285,a,13108,a(flip),b,13134,a),flip(a)]. 13137 K((T(x,y) \ z) \ 1,R(x,u,w)) = K(z \ R(x,u,w),R(x,u,w)). [hyper(11497,a,13136,a),flip(a)]. 13139 K(x \ R(y,z,u),R(y,z,u)) = K(x \ y,R(y,z,u)). [hyper(66,a,6720,a(flip),b,13137,a),flip(a)]. 13140 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(T(x,w) \ y,R(y,z,u)). [hyper(66,a,12086,a(flip),b,13139,a)]. 13141 K(x \ R(y,z,u),T(R(y,z,u),w)) = K(x \ y,R(T(y,w),z,u)). [hyper(285,a,12097,a(flip),b,13140,a),flip(a)]. 13142 K(x \ R(y,z,u),R(T(y,w),z,u)) = K(x \ y,R(T(y,w),z,u)). [para(32(a,2),13141(a,1,2))]. 13143 K(x * R(y,z,u),R(T(y,w),z,u)) = K((x \ 1) \ y,R(T(y,w),z,u)). [hyper(66,a,6959,a(flip),b,13142,a)]. 13144 K(x * R(y,z,u),R(T(y,w),z,u)) = K(x * y,R(T(y,w),z,u)). [hyper(285,a,10698,a(flip),b,13143,a),flip(a)]. 13145 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(T(y,K(x,w)),z,u)). [hyper(66,a,8542,a(flip),b,13144,a)]. 13146 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [para(2090(a,1),13145(a,2,2,1))]. 13147 T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)). [para(13146(a,1),11464(a,1,1,2))]. 13148 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(285,a,7761,a(flip),b,12717,a),flip(a)]. 13149 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(285,a,1086,a(flip),b,12942,a),flip(a)]. 13150 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(285,a,1514,a(flip),b,13149,a),flip(a)]. 13151 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9704(a,1),13150(a,2,1,2))]. 13152 (x * R(x \ y,z,x \ y)) / y != u | T(a(1 / (x / y),z,1 / (x / y)),w) = u. [para(13151(a,1),4222(a,1))]. 13153 K(((x \ 1) * y) / z,T(x,u)) = K(x \ (y / z),T(x,u)). [hyper(66,a,6115,a(flip),b,13020,a),flip(a)]. 13154 K(x \ (y / (((x \ 1) / z) * y)),T(x,u)) = R(K(z,T(T(x,u),x \ 1)),x \ 1,y). [hyper(66,a,8123,a(flip),b,13153,a),flip(a)]. 13155 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(((y \ 1) / x) \ (y \ 1),T(y,z)). [hyper(66,a,13040,a(flip),b,13154,a),flip(a)]. 13157 R(K(x,T(T(y,z),y \ 1)),y \ 1,u) = K(x,T(y,z)). [hyper(285,a,626,a(flip),b,13155,a),flip(a)]. 13159 R(K(x,T(y,z)),y \ 1,u) = K(x,T(y,z)). [para(4611(a,1),13157(a,1,1))]. 13160 ((x \ 1) * y) * K(z,T(x,y)) = (T(x,z) \ 1) * y. [para(13159(a,1),11470(a,1,2))]. 13161 (x \ 1) * (y * K(z,T(x,y))) = (T(x,z) \ 1) * y. [hyper(66,a,12596,a(flip),b,13160,a)]. 13163 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(7682(a,1),13161(a,1,2))]. 13164 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(66,a,6246,a,b,13163,a)]. 13165 L(x,y \ 1,K(z,y)) = x. [hyper(5648,a,13164,a)]. 13166 L(x,y,K(z,y \ 1)) = x. [hyper(66,a,7072,a(flip),b,13165,a)]. 13167 L(x,y \ 1,K(z,y)) != u | x = u. [para(13165(a,1),53(a,2))]. 13168 L(x,y,K(z,y \ 1)) != u | x = u. [para(13166(a,1),53(a,2))]. 13170 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(5193(a,1),13074(a,2,1))]. 13171 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(12777(a,1),13170(a,1,1))]. 13172 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(285,a,9366,a,b,13171,a)]. 13173 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(13103,a,13172,a)]. 13174 ((a(x \ y,z,x \ y) * (y / x)) * x) / y = a(y / x,z,y / x). [para(13173(a,1),13129(a,1,1,1,1))]. 13175 (R(x / y,z,y \ x) * y) / x = a(x / y,z,x / y). [para(13171(a,1),13174(a,1,1,1))]. 13176 (x * R(x \ y,z,x \ y)) / y = a(y / x,z,y / x). [para(593(a,1),13175(a,1,1))]. 13177 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(285,a,13173,a(flip),b,13176,a),flip(a)]. 13178 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(13152,a,13177,a)]. 13179 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11508(a,1),13178(a,1,1))]. 13180 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(285,a,6304,a(flip),b,13086,a),flip(a)]. 13181 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6302(a,1),13180(a,1,1)),flip(a)]. 13182 (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). [para(13181(a,1),12819(a,1,2))]. 13183 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(187(a,1),13097(a,1,1))]. 13185 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7396(a,1),13183(a,1,2))]. 13186 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6966(a,1),13185(a,1,2)),flip(a)]. 13187 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(285,a,12,a(flip),b,13186,a),flip(a)]. 13188 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5452,a,13187,a)]. 13189 K(x * y,R(T(y,z),x,y)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(6076(a,1),13188(a,1,2,2))]. 13190 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(10159(a,1),13188(a,1,1))]. 13191 K(x,y) * (y \ R(T(y,x),z,R(T(y,u),w,v5))) = y \ R(y,z,R(T(y,u),w,v5)). [para(11625(a,1),13188(a,1,1))]. 13192 T(x,y) \ R(T(x,y),z,R(T(x,u),w,v5)) = x \ R(x,z,R(T(x,u),w,v5)). [hyper(5653,a,13191,a)]. 13193 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10040(a,1),13191(a,1,2,2))]. 13194 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(11744,a,13192,a)]. 13196 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(11748(a,1),13193(a,1,2))]. 13197 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5453,a,13196,a)]. 13198 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(x,y,R(x,u,w)) = v5. [para(13196(a,1),5453(a,1)),flip(b)]. 13200 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(66,a,13194,a,b,13197,a)]. 13201 L(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)). [hyper(66,a,13039,a(flip),b,13197,a)]. 13203 a(x,y,R(x,z,u)) \ x = L(x,y,R(x,z,u)). [para(13201(a,1),10544(a,1,1))]. 13205 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(13200(a,1),11764(a,1,1)),flip(a)]. 13206 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(51,a,13205,a)]. 13208 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(T(x,y),z,u),y,x). [hyper(7546,a,13206,a),flip(a)]. 13209 (x * L(R(T(y,x),z,u),y \ T(x,y),y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [hyper(285,a,8826,a,b,13206,a)]. 13210 a(T(R(x,y,z),R(x,y,z) \ u),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [hyper(66,a,7001,a,b,13206,a)]. 13212 a(T(x,y),z,R(T(x,y),u,w)) != v5 | a(x,z,R(x,u,w)) = v5. [para(13194(a,2),13198(a,1))]. 13213 a(R(T(x,y),z,u),y,x) = a(x,T(y,x),R(x,z,u)). [hyper(13212,a,13208,a),flip(a)]. 13215 a(R(T(x,y),z,u),y,x) = a(x,y,R(x,z,u)). [hyper(285,a,11773,a(flip),b,13213,a),flip(a)]. 13216 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(285,a,10620,a(flip),b,13104,a),flip(a)]. 13217 K(a(x,y,z),x) = 1. [hyper(13093,a,13216,a),flip(a)]. 13220 T(a(x,y,z),x) = a(x,y,z). [hyper(59,a,13217,a)]. 13221 T(x,a(x,y,z)) = x. [hyper(57,a,13220,a)]. 13222 a(x,y,z) * x = x * a(x,y,z). [hyper(124,a,13220,a(flip),b,27,a(flip)),flip(a)]. 13223 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3935(a,2),13220(a,1,1))]. 13224 L(x,y,z) * a(x,u,w) = a(x,u,w) * L(x,y,z). [para(13221(a,1),222(a,1,2,1)),flip(a)]. 13225 (K(x,y) / z) * a(K(x,y) / z,z,K(y,x)) = 1 / (z * K(y,x)). [hyper(66,a,11150,a(flip),b,13222,a),flip(a)]. 13226 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(66,a,13179,a(flip),b,13223,a),flip(a)]. 13227 ((x * L(y,z,u)) * a(y,w,v5)) \ ((x * (a(y,w,v5) * L(y,z,u))) * a(y,w,v5)) = L(a(y,w,v5),L(y,z,u),x). [para(13224(a,1),1564(a,2,2,1,2)),flip(a)]. 13228 K(x,y * (1 / (z * K(x,u)))) = K(x,y * (K(u,x) / z)). [para(13225(a,1),11151(a,1,2,2))]. 13229 K(x,y * ((z * K(x,u)) \ 1)) = K(x,y * (K(u,x) / z)). [hyper(66,a,7150,a(flip),b,13228,a)]. 13230 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (K(z,x) / u)). [hyper(66,a,12916,a,b,13229,a)]. 13231 K(x,y * ((K(x,z) * u) \ 1)) = K(x,y * (u \ 1)). [hyper(285,a,11268,a(flip),b,13230,a),flip(a)]. 13233 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,((y * K(x,z)) * u) * (u \ 1)). [hyper(66,a,9856,a,b,13231,a)]. 13234 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [para(5798(a,1),13111(a,1,1))]. 13235 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,32,a,b,13234,a)]. 13236 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(5097(a,1),13235(a,1,1)),flip(a)]. 13237 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(285,a,34,a(flip),b,13236,a),flip(a)]. 13238 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). [para(13237(a,1),1825(a,1,1,1)),flip(a)]. 13239 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5798(a,1),13147(a,1,1))]. 13240 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [para(5785(a,1),13239(a,1,1,1,2))]. 13241 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),x \ 1,x)). [hyper(66,a,32,a,b,13240,a)]. 13242 R(R(x,y,z),u,L(R(x,y,z),x \ 1,x)) = R(R(x,u,x),y,z). [para(5719(a,1),13241(a,1,1)),flip(a)]. 13243 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(285,a,9222,a(flip),b,13148,a),flip(a)]. 13244 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(8426,a,13243,a)]. 13245 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(66,a,10806,a(flip),b,13244,a)]. 13247 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(66,a,11531,a(flip),b,13245,a)]. 13248 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(9575,a,13247,a),flip(a)]. 13250 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(161(a,1),13247(a,2,2))]. 13251 K(x,(y * (z / u)) \ (x \ ((y * x) * z))) != w | L(K(x,u),z,y * x) = w. [para(13247(a,1),6670(a,1))]. 13252 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(66,a,12544,a(flip),b,13250,a)]. 13254 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(14(a,1),13252(a,2,2))]. 13255 K(x,y \ R(x,z,z \ 1)) = K(x,y \ x). [hyper(66,a,10873,a(flip),b,13254,a),flip(a)]. 13257 K(x,y \ ((z * x) * (z \ 1))) = K(x,y \ x). [hyper(66,a,10492,a,b,13255,a)]. 13259 R(K(x,T(y,(z * x) * (z \ 1))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [hyper(66,a,8928,a(flip),b,13257,a)]. 13260 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(79(a,1),13248(a,1,2,2))]. 13261 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(9295(a,1),13189(a,1,1))]. 13262 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(5125(a,2),13261(a,1,2))]. 13264 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6120(a,1),13262(a,1,1))]. 13265 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(285,a,9211,a(flip),b,13264,a),flip(a)]. 13266 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2232,a,13265,a)]. 13268 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [para(13266(a,1),11904(a,1,1,2))]. 13270 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y * K(x,z),u,u \ 1)). [para(355(a,1),13233(a,2,2))]. 13271 K(x,R(R(y,K(x,z),u),u,(K(x,z) * u) \ 1)) = K(x,R(y,u,u \ 1)). [hyper(285,a,9032,a(flip),b,13270,a),flip(a)]. 13273 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,R(y,z,z \ 1)). [hyper(66,a,8710,a(flip),b,13271,a)]. 13275 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12940(a,1),12813(a,1,1)),flip(a)]. 13276 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(66,a,10392,a(flip),b,13275,a),flip(a)]. 13278 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7782,a,13276,a)]. 13280 K(x * T(y,z),T(x,u)) * K(x,T(T(y,u),z)) = a(x,T(y,z),x). [para(28(a,1),13278(a,1,2,2))]. 13281 K(((x \ y) \ 1) * z,T((x \ y) \ 1,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8565(a,1),13278(a,1,1,2))]. 13282 K(((x \ y) \ y) * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)) = a((x \ y) \ y,z,(x \ y) \ y). [para(9341(a,1),13278(a,1,1))]. 13283 K(((x / y) \ 1) * z,T(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). [para(9769(a,1),13278(a,1,1))]. 13284 a(x,T(y,z),x) != u * K(x,T(T(y,w),z)) | K(x * T(y,z),T(x,w)) = u. [para(13280(a,1),47(a,1))]. 13285 K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). [para(6421(a,1),13106(a,1,2))]. 13286 K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). [hyper(66,a,10159,a(flip),b,13285,a)]. 13287 K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(7681(a,2),13190(a,1,2,2,1))]. 13288 a(R(T(x,R(x,y,z) \ u),y,z),R(x,y,z) \ u,x) = a(x,u / R(x,y,z),R(x,y,z)). [para(32(a,2),13210(a,1,1))]. 13289 K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). [para(5334(a,1),13287(a,1,2))]. 13290 a(x,y / R(x,z,u),R(x,z,u)) = a(x,R(x,z,u) \ y,R(x,z,u)). [hyper(66,a,13215,a(flip),b,13288,a),flip(a)]. 13291 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(13290(a,1),11753(a,1,1))]. 13292 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(285,a,7720,a(flip),b,13291,a),flip(a)]. 13293 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(38,a,11796,a,b,13289,a),flip(a)]. 13295 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2720(a,1),13293(a,1,2,2))]. 13296 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(285,a,7908,a,b,13295,a),flip(a)]. 13297 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(13295(a,1),7888(a,1,2)),flip(a)]. 13298 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(488(a,1),13296(a,1,2,2))]. 13299 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(7145(a,1),13298(a,1,2)),flip(a)]. 13300 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(66,a,10119,a,b,13299,a)]. 13301 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(66,a,7908,a,b,13299,a)]. 13302 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(7764(a,1),13299(a,1,2)),flip(a)]. 13303 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(17(a,1),13300(a,2,2,2))]. 13304 K(x,K(y / (z \ 1),u)) = K(x,K(y * z,u)). [hyper(285,a,7908,a,b,13301,a),flip(a)]. 13305 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(285,a,7881,a,b,13303,a),flip(a)]. 13306 K(x,K(y * z,L(u,z \ 1,z))) = K(u,K(x,T(z * y,z))). [hyper(66,a,10280,a(flip),b,13304,a),flip(a)]. 13307 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(66,a,10189,a(flip),b,13305,a)]. 13309 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(13307(a,1),8942(a,1,1))]. 13310 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(13307(a,1),9924(a,1,1))]. 13311 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(13310(a,1),4783(a,1)),flip(b)]. 13312 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7908(a,1),13310(a,1,1))]. 13314 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7331(a,2),13311(a,1))]. 13315 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7761(a,1),13311(a,1,2))]. 13318 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(7861(a,2),13311(a,1))]. 13321 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7884(a,1),13311(a,1))]. 13322 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7884(a,2),13311(a,1))]. 13328 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(10124(a,1),13311(a,1))]. 13329 K(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. [para(10277(a,1),13311(a,1))]. 13330 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. [para(10665(a,2),13311(a,1))]. 13341 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(66,a,10157,a(flip),b,13312,a)]. 13345 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(87(a,1),13341(a,1,2,2,2))]. 13346 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7927,a,13309,a)]. 13347 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(87(a,1),13309(a,1,2)),flip(a)]. 13349 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7859(a,1),13346(a,1,1))]. 13350 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7884(a,1),13347(a,2,1))]. 13351 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(8945,a,13349,a)]. 13352 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(180,a,13350,a)]. 13353 K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). [para(11363(a,1),13351(a,1,1,1,1))]. 13355 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(5283,a,13352,a)]. 13356 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(56,a,13355,a)]. 13357 a(K(x * y,K(z,u)),x,y) = 1. [para(14(a,1),13356(a,1,3))]. 13358 a(K(K(x,y),z),u,u \ z) = 1. [para(7331(a,2),13356(a,1,1))]. 13359 a(K(x,K(y,z * u)),z,u) = 1. [para(7859(a,1),13357(a,1,1))]. 13360 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(285,a,7925,a,b,13358,a),flip(a)]. 13361 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(285,a,7862,a(flip),b,13297,a),flip(a)]. 13362 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(66,a,12261,a(flip),b,13361,a)]. 13363 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(8235(a,2),13315(a,1))]. 13364 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(10261(a,2),13328(a,1))]. 13366 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(7761(a,1),13302(a,1,2))]. 13368 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(7990(a,1),13362(a,1,2)),flip(a)]. 13369 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8014(a,1),13368(a,1,2)),flip(a)]. 13370 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(10198,a,13369,a),flip(a)]. 13371 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(7145(a,1),13369(a,1,2)),flip(a)]. 13372 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(66,a,8532,a(flip),b,13371,a),flip(a)]. 13373 T(x \ 1,K(y,z)) * L((x \ 1) \ K(K(y,z * x),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(13372(a,1),5306(a,1,1))]. 13375 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(9953(a,2),13363(a,1))]. 13376 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(10090,a,13370,a),flip(a)]. 13377 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(10068,a,13376,a)]. 13378 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(285,a,5130,a(flip),b,13377,a),flip(a)]. 13379 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(5207,a,13378,a)]. 13380 R(K(x,T(y,(z * x) / z)),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(13379(a,1),13259(a,1,1))]. 13381 K(x,K(y,T(z * (u / z),z))) = K(y,K(u,L(x,z \ 1,z))). [para(17(a,1),13306(a,1,2,1)),flip(a)]. 13382 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(13345(a,1),13360(a,2,2))]. 13383 K(x,K(y,T(z * (u / z),z))) = K(x,K(u,L(y,z \ 1,z))). [hyper(13321,a,13381,a)]. 13384 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(z,L(y,u \ 1,u))). [hyper(66,a,13366,a(flip),b,13383,a)]. 13385 (x / y) \ T(x,K(z,u)) = y * K(z,K(x,L(u,y \ 1,y))). [para(13384(a,1),7915(a,2,2))]. 13386 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,L(u,y \ 1,y))). [para(7881(a,1),13385(a,2,2))]. 13387 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7884(a,2),13382(a,2,2))]. 13388 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7331(a,1),13387(a,1,1))]. 13389 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(285,a,11986,a(flip),b,13388,a)]. 13390 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(285,a,13359,a(flip),b,13389,a),flip(a)]. 13391 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(66,a,12267,a(flip),b,13390,a)]. 13392 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(14(a,1),13391(a,1,2,2,2,3))]. 13393 R(K(x,T(y,T(x,z))),z * x,z \ 1) = K(x,((y \ (z * x)) * (z \ 1)) \ x). [para(8288(a,1),13380(a,1,1,2))]. 13394 K(x,((y \ (z * x)) * (z \ 1)) \ x) = R(K(x,y),z * x,z \ 1). [para(7700(a,1),13393(a,1,1)),flip(a)]. 13395 K(x,((y \ (z * x)) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(285,a,10572,a(flip),b,13394,a),flip(a)]. 13397 K(R(x,y,y \ 1),R(z,z \ y,x)) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [para(462(a,1),13395(a,1,2,1,1)),flip(a)]. 13398 R(K(R(x,y,y \ 1),z),y,x) = K(x,(((z \ y) * x) * (y \ 1)) \ x). [hyper(7551,a,13397,a)]. 13399 K(x,(((y \ z) * x) * (z \ 1)) \ x) = K(R(x,z,z \ 1),y). [hyper(66,a,10673,a(flip),b,13398,a),flip(a)]. 13401 K(x,((y \ z) * (z \ 1)) \ (x \ x)) = K(R(x,z,z \ 1),y). [hyper(66,a,13247,a(flip),b,13399,a)]. 13402 K(x,((y \ z) * (z \ 1)) \ 1) = K(R(x,z,z \ 1),y). [para(79(a,1),13401(a,1,2,2))]. 13403 R(K(x,y),z,z \ 1) = K(R(x,z,z \ 1),y). [hyper(66,a,6110,a(flip),b,13402,a)]. 13405 R(K(x,y),z,z \ 1) \ 1 = K(y,R(x,z,z \ 1)). [para(13403(a,2),5320(a,1,1))]. 13406 R(K(x,y),z,z \ 1) = K(x,R(y,z,z \ 1)). [hyper(6137,a,13405,a)]. 13407 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(355(a,2),13406(a,2,2)),flip(a)]. 13408 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(66,a,12039,a(flip),b,13100,a),flip(a)]. 13410 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = (z * a(x,y,x)) \ (z * R(x,y,x)). [para(12829(a,1),12923(a,2,2))]. 13411 L(T(x,a(x,y,x)),a(x,y,x),R(z,x,a(x,y,x))) = x. [hyper(285,a,12826,a(flip),b,13410,a),flip(a)]. 13413 L(x,a(x,y,x),R(z,x,a(x,y,x))) = x. [para(12858(a,1),13411(a,1,1))]. 13415 L(x,a(x,y,x),z) = x. [para(12919(a,1),13413(a,1,3))]. 13416 (x * a(y,z,y)) * L(y,u,w) = x * (a(y,z,y) * L(y,u,w)). [para(13415(a,1),410(a,1,2,1))]. 13417 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(T(x * K(y,x),y),y,z). [para(5150(a,1),13024(a,1,1)),flip(a)]. 13418 (x * K(y,x)) \ (((y * x) * z) / (y * z)) = x \ R(x,y,z). [para(5150(a,1),13417(a,2,2,1))]. 13419 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (R(x,z,x) * (x \ y)). [para(9254(a,1),13048(a,2,2,1))]. 13421 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = y \ (y * a(x,z,x)). [para(12789(a,1),13419(a,2,2))]. 13422 L(a((x \ y) \ y,z,(x \ y) \ y),u,(x \ y) \ y) = a(x,z,x). [hyper(285,a,14,a(flip),b,13421,a),flip(a)]. 13423 a((x \ y) \ y,z,(x \ y) \ y) = a(x,z,x). [hyper(4902,a,13422,a),flip(a)]. 13425 R(T(a(x,y,x),y * z),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12858(a,1),12809(a,2,1,1))]. 13427 R(a(x,y,x),T(y,a(x,y,x)),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(12859(a,1),13425(a,1,1))]. 13429 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(12858(a,1),13427(a,1,2)),flip(a)]. 13430 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(66,a,13054,a,b,13429,a)]. 13431 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),T(y * K(z,y),z),z). [para(5150(a,1),13430(a,1,1,2)),flip(a)]. 13432 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(5150(a,1),13431(a,2,2))]. 13433 (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). [para(4481(a,1),13099(a,1,1))]. 13434 x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). [para(4555(a,1),13182(a,1,2,1)),flip(a)]. 13435 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). [para(7997(a,1),13433(a,1,1,2))]. 13436 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(9528,a,13435,a),flip(a)]. 13438 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9568(a,1),13436(a,1,1))]. 13439 K(L(x,y,z) * (u \ 1),x) = K(u \ L(x,y,z),x). [hyper(66,a,9867,a(flip),b,13438,a)]. 13440 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(66,a,7033,a(flip),b,13438,a)]. 13441 R(K(x,y),L(x,z,u),w) = v5 / (K(y,x) * v5). [para(13438(a,1),6135(a,1,2,1)),flip(a)]. 13443 R(K(x,y),L(x,z,u),w) = K(x,y). [hyper(285,a,5448,a(flip),b,13441,a),flip(a)]. 13444 K(x,(L(x,y,z) * u) / w) = K(x,(w / u) \ L(x,y,z)). [hyper(66,a,6583,a(flip),b,13443,a)]. 13446 K(((x * y) / x) \ L(z,u,w),z) = K(L(z,u,w) * (y \ K(y,x)),z). [para(5413(a,1),13439(a,1,1,2)),flip(a)]. 13447 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(285,a,6481,a(flip),b,13440,a),flip(a)]. 13449 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(L(w,u,L(x,y,z)) \ 1,u)). [hyper(66,a,9534,a(flip),b,13444,a),flip(a)]. 13450 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(L(x,w,v5) * u) / z). [hyper(66,a,7188,a(flip),b,13444,a),flip(a)]. 13451 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(66,a,10735,a,b,13447,a)]. 13452 T(x,y) \ T(x * K((z / u) \ L(x,w,v5),x),y) = K((L(x,w,v5) * u) / z,T(x,y)). [para(13447(a,1),5722(a,1,2,1,2))]. 13453 K((L(x,y,z) \ u) \ w,T(x,w)) = K((u / w) \ L(x,y,z),x). [hyper(8429,a,13451,a)]. 13454 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(10963,a,13453,a)]. 13455 K(x / (y / L(z,u,w)),z) = K((y / x) \ L(z,u,w),z). [hyper(66,a,10353,a,b,13454,a)]. 13456 K((x * L(y,z,u)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,9514,a,b,13455,a)]. 13457 K((x * T(L(y,z,u),w)) / w,y) = K((w / x) \ L(y,z,u),y). [hyper(66,a,10355,a,b,13456,a)]. 13458 K((x * L(T(y,z),u,w)) / z,y) = K((z / x) \ L(y,u,w),y). [para(30(a,2),13457(a,1,1,1,2))]. 13459 K(x,((y * (1 / (1 / (y \ z)))) / u) \ L(x,w,v5)) = K(x,(z / u) \ L(x,w,v5)). [hyper(285,a,13444,a(flip),b,13450,a),flip(a)]. 13460 K(x,((y * (z * (1 / (1 / (z \ (y \ u)))))) / w) \ L(x,v5,v6)) = K(x,(u / w) \ L(x,v5,v6)). [para(2784(a,1),13459(a,1,2,1,1))]. 13461 K(x,((L(x,y,z) * (u * w)) / u) \ L(x,y,z)) = K(x,T(w \ 1,u)). [hyper(285,a,9530,a(flip),b,13449,a),flip(a)]. 13463 K((L(x,y,z) * u) / w,T(x,v5)) = K((w / u) \ L(x,y,z),T(x,v5)). [hyper(5865,a,13452,a),flip(a)]. 13465 K((x / y) \ L(z,u,w),T(z,y)) != v5 | K(x \ (L(z,u,w) * y),z) = v5. [para(13463(a,1),10988(a,1))]. 13466 K(x,T((1 / (1 / (y \ (L(x,z,u) \ w)))) \ 1,y)) = K(x,(w / y) \ L(x,z,u)). [hyper(66,a,13461,a(flip),b,13460,a)]. 13467 K(x,T(1 / (y \ (L(x,z,u) \ w)),y)) = K(x,(w / y) \ L(x,z,u)). [para(90(a,1),13466(a,1,2,1))]. 13468 K(x,y / (L(x,z,u) \ w)) = K(x,(w / y) \ L(x,z,u)). [hyper(10991,a,13467,a)]. 13470 (x * (y * z)) \ ((x * y) * L(T(u * z,u) / u,y,x)) = L(a(u,L(z,y,x),u),L(z,y,x),x * y). [para(9716(a,2),12807(a,1,2,2))]. 13471 (x * K(y,z)) \ (R(y,u,y) * (K(y,z) * T(y \ x,K(y,z)))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(12475(a,2),12939(a,1,2,2,2))]. 13472 (R(R(x,y,z),u,R(x,y,z)) * (y * z)) / ((x * y) * z) = a(R(x,y,z),u,R(x,y,z)). [para(12833(a,1),13128(a,1,1,1))]. 13473 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(473(a,1),13472(a,1,1))]. 13474 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,T(R(x,y,z),u)). [hyper(285,a,1825,a(flip),b,13238,a),flip(a)]. 13475 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(T(x,u),y,z)). [para(32(a,2),13474(a,2,3))]. 13476 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K((x \ y) \ y,T(z,u)). [para(10283(a,1),13282(a,1,1)),flip(a)]. 13477 a((x \ y) \ y,z,(x \ y) \ y) = K(x * z,T(T(x,y),u)) * K(x,T(T(z,u),y)). [para(7687(a,1),13476(a,2,2))]. 13479 K(x * y,T(T(x,z),u)) * K(x,T(T(y,u),z)) = a(x,y,x). [hyper(66,a,13423,a(flip),b,13477,a),flip(a)]. 13481 K(x * y,T(T(x,z),u)) * K(x,T(T(y,z),u)) = a(x,y,x). [para(28(a,1),13479(a,1,1,2))]. 13482 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(4604(a,1),13283(a,1,1))]. 13483 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5547(a,2),13353(a,1,1))]. 13484 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(13314,a,13483,a)]. 13485 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(66,a,13301,a(flip),b,13484,a)]. 13486 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(17(a,1),13485(a,1,2,2)),flip(a)]. 13487 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(13322,a,13486,a)]. 13488 L(a(x,L(y,z,u),x),L(y,z,u),u * z) = (u * (z * y)) \ (u * (z * (T(x * y,x) / x))). [para(103(a,1),13470(a,1,2)),flip(a)]. 13489 (x * K(y,z)) \ (R(y,u,y) * ((y \ x) * K(y,z))) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(116(a,1),13471(a,1,2,2))]. 13490 (x * K(y,z)) \ ((x / y) * R(T(y,z),u,y)) = L(a(y,u,y),T(x,K(y,z)),K(y,z)). [para(11180(a,1),13489(a,1,2))]. 13491 L(a(x,y,x),T(z,K(x,u)),K(x,u)) = a(x,y,x). [hyper(66,a,12950,a(flip),b,13490,a),flip(a)]. 13493 L(a(x,y,x),z,K(x,u)) = a(x,y,x). [para(208(a,1),13491(a,1,2))]. 13495 x \ (K(y,z) \ ((a(y,u,y) * K(y,z)) * x)) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(13493(a,1),1127(a,1,2,2,1,1))]. 13497 x \ (K(y,z) \ (K(y,z) * (a(y,u,y) * x))) = R(T(a(y,u,y),K(y,z) * x),K(y,z),x). [para(12935(a,1),13495(a,1,2,2))]. 13498 R(T(a(x,y,x),K(x,z) * u),K(x,z),u) = u \ (a(x,y,x) * u). [para(14(a,1),13497(a,1,2)),flip(a)]. 13501 R(T(a(x,y,x),z),K(x,u),w) = w \ (a(x,y,x) * w). [para(12869(a,1),13498(a,1,1))]. 13502 R(T(a(x,y,x),z),K(x,u),w) = T(a(x,y,x),w). [hyper(285,a,27,a,b,13501,a),flip(a)]. 13505 R(a(x,y,x),K(x,z),u) = a(x,y,x). [hyper(144,a,13502,a(flip))]. 13506 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(12468(a,1),13482(a,1,1))]. 13507 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5830(a,1),13506(a,1,2))]. 13508 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8391(a,1),13507(a,1,2))]. 13509 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(285,a,13226,a(flip),b,13508,a),flip(a)]. 13510 (L(x,x \ y,x) \ y) \ ((y / T(x,y)) * L(z,K(y,x),x \ y)) = L(z,a(x,x \ y,x),x \ y). [para(12840(a,1),13052(a,1,1))]. 13511 (x / T(y,x)) \ ((x / T(y,x)) * L(z,K(x,y),y \ x)) = L(z,a(y,y \ x,y),y \ x). [para(7646(a,1),13510(a,1,1))]. 13513 L(x,a(y,y \ z,y),y \ z) != u | L(x,K(z,y),y \ z) = u. [para(13511(a,1),304(a,1)),flip(b)]. 13515 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (y * K(y * x,T(z,y))). [hyper(285,a,103,a(flip),b,13117,a),flip(a)]. 13516 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7682(a,1),13515(a,2,2))]. 13517 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13516(a,1,1,2,2,1))]. 13518 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(8538(a,1),13517(a,1,1,2))]. 13519 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7693(a,1),13518(a,1,1))]. 13520 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(116(a,1),13519(a,1,2,1,1,1))]. 13522 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(13520(a,1),5279(a,1,2)),flip(a)]. 13523 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(285,a,5544,a(flip),b,13522,a),flip(a)]. 13524 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(4072,a,13523,a)]. 13526 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(66,a,8396,a(flip),b,13524,a),flip(a)]. 13527 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(13526(a,2),13132(a,1,1))]. 13528 R(x,(y / R(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(2539(a,1),13075(a,1,2)),flip(a)]. 13530 R(x,(y \ L(y,z,y)) \ 1,y / R(y,z,y)) = (x * (y \ R(y,z,y))) * (y \ L(y,z,y)). [para(8852(a,1),13528(a,1,2,1))]. 13531 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(11803(a,1),13530(a,1,2)),flip(a)]. 13532 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(8852(a,1),13531(a,2,3))]. 13533 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [hyper(66,a,13268,a(flip),b,13532,a),flip(a)]. 13535 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(12777(a,1),13533(a,1,2))]. 13536 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [para(12886(a,2),13535(a,1,3))]. 13537 x * (a(y,z,y) \ 1) = x / a(y,z,y). [hyper(492,a,13536,a)]. 13538 x * (y \ L(y,z,y)) = x / a(y,z,y). [para(12886(a,1),13537(a,1,2))]. 13539 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(285,a,12862,a(flip),b,13538,a),flip(a)]. 13540 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(13538(a,2),12867(a,1))]. 13541 a(x,y,x) \ K(x,z) = x \ L(T(x,z),y,x). [hyper(66,a,9220,a(flip),b,13539,a),flip(a)]. 13542 (x * L(R(T(y,x),z,u),y \ x,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(8986(a,1),13209(a,1,1,2))]. 13543 (L(R(x,y,z),x \ u,x) * u) \ (u * R(T(x,u),y,z)) = a(R(T(x,u),y,z),T(x,u) \ u,T(x,u)). [para(586(a,1),13542(a,1,1))]. 13544 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),x \ y,x) * y) \ (R(x,z,u) * y). [para(223(a,1),13543(a,1,2)),flip(a)]. 13545 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,T(R(x,z,u),y)). [hyper(285,a,1825,a(flip),b,13544,a),flip(a)]. 13546 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = a(x,x \ y,R(T(x,y),z,u)). [para(32(a,2),13545(a,2,3))]. 13547 a(T(x,y),T(x,y) \ y,R(T(x,y),z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(66,a,13206,a(flip),b,13546,a)]. 13548 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(13212,a,13547,a)]. 13550 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(66,a,11774,a(flip),b,13548,a),flip(a)]. 13552 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13475,a,b,13550,a)]. 13553 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(12818,a,13552,a)]. 13554 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(13553(a,1),13434(a,1,2)),flip(a)]. 13555 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,T(w,y),R(y,z,u)). [para(27(a,2),13554(a,2,2,2))]. 13556 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(11773(a,1),13555(a,2,2))]. 13557 K(((x \ y) \ 1) * z,T(y \ x,x)) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8906(a,1),13281(a,1,1))]. 13558 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(7995(a,1),13557(a,1,1))]. 13559 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9977(a,1),13558(a,1,1))]. 13560 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,y))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6468(a,1),13559(a,1,2))]. 13561 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8967(a,1),13560(a,1,2))]. 13562 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(66,a,13509,a(flip),b,13561,a),flip(a)]. 13563 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = ((y \ x) * L(y,z,u)) * R(T(y,y \ x),w,y). [para(9261(a,1),12832(a,1,2)),flip(a)]. 13564 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (R(y,w,y) * (y \ x)) * L(y,z,u). [hyper(285,a,12333,a(flip),b,13563,a),flip(a)]. 13566 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = (x * a(y,w,y)) * L(y,z,u). [para(12789(a,1),13564(a,2,1))]. 13567 (x * L(y,z,u)) * a(T(y,y \ x),w,T(y,y \ x)) = x * (a(y,w,y) * L(y,z,u)). [hyper(285,a,13416,a(flip),b,13566,a),flip(a)]. 13568 (x * L(y,z,u)) * a(y,w,y) = x * (a(y,w,y) * L(y,z,u)). [para(12940(a,1),13567(a,1,2))]. 13570 (x * (a(y,z,y) * L(y,u,w))) \ ((x * (a(y,z,y) * L(y,u,w))) * a(y,z,y)) = L(a(y,z,y),L(y,u,w),x). [para(13568(a,1),13227(a,1,1))]. 13572 L(a(x,y,x),L(x,z,u),w) != v5 | a(x,y,x) = v5. [para(13570(a,1),304(a,1)),flip(b)]. 13574 K(((x \ 1) \ y) / y,((z / y) * ((x \ 1) \ T(y,x))) \ (z * ((x \ 1) \ y))) = K(((x \ 1) \ y) / y,y). [hyper(66,a,10509,a(flip),b,13045,a)]. 13575 K((x \ 1) \ 1,((y / z) * ((x \ 1) \ T(z,x))) \ (y * ((x \ 1) \ z))) = K(((x \ 1) \ z) / z,z). [hyper(66,a,5836,a(flip),b,13574,a)]. 13576 K((x \ 1) \ 1,((y / z) * T(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [hyper(12683,a,13575,a)]. 13578 K((x \ 1) \ 1,(y * K(z,x)) \ ((x \ 1) * (y * ((x \ 1) \ z)))) = K(((x \ 1) \ z) / z,z). [para(6321(a,1),13576(a,1,2,1))]. 13579 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ ((x \ 1) * (z * ((x \ 1) \ y)))). [hyper(9881,a,13578,a),flip(a)]. 13580 K(((x \ 1) \ y) / y,y) = K(x,(z * K(y,x)) \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,12644,a(flip),b,13579,a),flip(a)]. 13581 K(((x \ 1) \ y) / y,y) = K(x,z \ (x \ (z * ((x \ 1) \ y)))). [hyper(285,a,8604,a(flip),b,13580,a),flip(a)]. 13583 K(((x \ 1) \ y) / y,y) = K(x,L(y,x,z)). [hyper(285,a,9456,a(flip),b,13581,a),flip(a)]. 13584 K(x,L(y,x,z)) = K(x,y). [hyper(9884,a,13583,a),flip(a)]. 13586 K(x,L(y,x,z)) != u | K(x,y) = u. [para(13583(a,1),9884(a,1))]. 13587 K(x,y \ (x \ (y * z))) = K(x,x \ z). [hyper(9454,a,13584,a)]. 13589 K(L(x,y,z),y) = K(x,y). [hyper(66,a,8731,a,b,13584,a)]. 13591 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(66,a,13059,a(flip),b,13584,a)]. 13592 K(x,x \ ((y * z) / y)) = K(x,T(x \ z,y)). [hyper(66,a,13004,a(flip),b,13584,a)]. 13595 L(x,y,z) * (K(y,L(x,y,z)) * u) = (L(x,y,z) * K(y,x)) * u. [para(13584(a,1),4409(a,1,1,2)),flip(a)]. 13600 K((x / y) \ (z \ x),z) = K(z \ y,z). [hyper(66,a,9349,a(flip),b,13589,a)]. 13604 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(9113(a,1),13586(a,1))]. 13605 K(x,y \ (x \ z)) != u | K(x,x \ (y \ z)) = u. [para(10022(a,1),13586(a,1))]. 13607 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(13587(a,1),9415(a,1,2))]. 13609 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(285,a,11390,a,b,13591,a)]. 13610 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(285,a,4943,a,b,13591,a)]. 13611 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(124,a,13591,a,b,5125,a(flip))]. 13616 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(87(a,1),13600(a,1,1,1))]. 13621 K(x,T(x \ (y \ z),y)) = K(x,x \ (z / y)). [para(15(a,1),13592(a,1,2,2,1)),flip(a)]. 13622 (x * K(y,y \ z)) * z = x * (y * (z / y)). [hyper(66,a,12998,a,b,13607,a)]. 13624 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(13609(a,1),5190(a,2,1)),flip(a)]. 13625 T(x,T(x \ y,z)) = T(x,x \ T(y,z)). [hyper(5180,a,13611,a)]. 13626 T(x,T(x \ y,z)) = (x \ T(y,z)) \ T(y,z). [hyper(285,a,117,a(flip),b,13625,a),flip(a)]. 13627 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(66,a,3038,a(flip),b,13625,a),flip(a)]. 13628 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(13627(a,1),249(a,1,2))]. 13629 K(x,T(x \ (y \ z),z)) = K(x,x \ (z / y)). [hyper(66,a,10401,a,b,13621,a)]. 13630 R(x,K(y,y \ z),z) = x. [hyper(5570,a,13622,a)]. 13631 R(x,K(y,z),z * y) = x. [para(5336(a,1),13630(a,1,2))]. 13632 x / (K(y,z) * (z * y)) = (x / (z * y)) * K(z,y). [hyper(66,a,7425,a(flip),b,13631,a)]. 13633 K(x,x \ (y / (y / z))) = K(x,T(x \ z,y)). [para(90(a,1),13629(a,1,2,1,2)),flip(a)]. 13634 K(x,x \ ((y * z) / y)) = K(x,x \ (y / (y / z))). [hyper(285,a,13592,a,b,13633,a)]. 13640 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(627,a,13628,a)]. 13641 (x / (y * z)) * K(y,z) = x / (z * y). [para(5146(a,1),13632(a,1,2)),flip(a)]. 13643 (x / (y * z)) * T(y,z) = (x / (z * y)) * y. [para(13641(a,1),6311(a,1,1)),flip(a)]. 13644 (x / (y * z)) * (z * K(y,z)) = (x / (z * y)) * z. [para(13641(a,1),6336(a,1,1))]. 13647 (x / (y * (z / y))) * (z / y) = (x / z) * T(z / y,y). [para(17(a,1),13643(a,1,1,2)),flip(a)]. 13648 (1 / (x * y)) * (T(x,y) * T(T(x,y) \ (x * y),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(13643(a,1),5966(a,2,1,1))]. 13649 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,(y \ x) \ (x / (x / z))). [hyper(66,a,13037,a,b,13634,a)]. 13650 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(66,a,7301,a(flip),b,13640,a),flip(a)]. 13651 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [hyper(5410,a,13644,a)]. 13652 a((x * y) \ 1,y,x) / x = (1 / (y * x)) * y. [hyper(66,a,10252,a(flip),b,13651,a)]. 13653 1 / L(x,y,(x * y) \ 1) = (1 / (y * x)) * y. [hyper(66,a,12063,a(flip),b,13652,a)]. 13654 (1 / ((x \ y) * x)) * (x \ y) = 1 / L(x,x \ y,y \ 1). [para(15(a,1),13653(a,1,2,3,1)),flip(a)]. 13655 L(x,y,(x * y) \ 1) \ 1 = T((1 / (y * x)) * y,x). [para(13653(a,1),10458(a,1,1)),flip(a)]. 13656 1 / T((1 / (x * y)) * x,y) = L(y,x,(y * x) \ 1). [hyper(185,a,13655,a)]. 13657 L(x,y,(y * x) \ 1) = L(x,y,(x * y) \ 1). [hyper(10466,a,13656,a)]. 13658 L(x \ y,x,((x \ y) * x) \ 1) = L(x \ y,x,y \ 1). [para(15(a,1),13657(a,1,3,1)),flip(a)]. 13659 L(x,y / x,(x * (y / x)) \ 1) = L(x,y / x,y \ 1). [para(17(a,1),13657(a,1,3,1)),flip(a)]. 13660 (x / (y * (z / y))) * (z / y) = (x / z) * (y \ z). [para(118(a,1),13647(a,2,2))]. 13661 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(y / x,x). [para(13660(a,1),5883(a,1,1)),flip(a)]. 13662 L(x \ y,x,((x \ y) * x) \ 1) = ((1 / y) * x) \ 1. [hyper(285,a,3666,a(flip),b,13658,a),flip(a)]. 13663 K((((1 / x) * y) \ 1) / ((((y \ x) * y) \ 1) * x),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(13662(a,1),5837(a,1,1,1))]. 13664 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(66,a,9901,a(flip),b,13624,a),flip(a)]. 13665 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(13664(a,2),4519(a,1,2))]. 13666 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(263,a,13665,a)]. 13667 ((x / y) * (y * K(x,z))) / T(x,z) = a(K(x,z),y,y \ x). [para(13666(a,1),8816(a,1,1))]. 13668 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = T(a(K(x,z),y,y \ x),x). [para(13667(a,1),11245(a,1,1)),flip(a)]. 13669 T(x,L(y,x,z)) = T(x,y). [hyper(8506,a,13595,a(flip))]. 13672 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(66,a,9354,a(flip),b,13669,a)]. 13674 L(x,y,z) * T(y,x) = y * L(x,y,z). [hyper(124,a,13669,a(flip),b,27,a(flip))]. 13676 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(459(a,1),13669(a,1,2))]. 13680 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(13674(a,1),1247(a,1,2,2))]. 13681 L(x,y / x,(x * (y / x)) \ 1) = ((1 / y) * (x \ y)) \ K(x \ y,x). [para(5323(a,1),13661(a,2,2))]. 13682 ((x / y) * (y * K(z,x))) \ ((z * x) / z) = a(K(x,z),y,y \ x). [hyper(285,a,8813,a(flip),b,13668,a),flip(a)]. 13683 a(K(x,y),z,z \ x) = a(x / z,z,K(y,x)). [hyper(66,a,5389,a(flip),b,13682,a),flip(a)]. 13684 a(K(x * y,z),y,y \ (x * y)) = a(x,y,K(z,x * y)). [para(16(a,1),13683(a,2,1))]. 13685 a(K(x * y,z),y,T(x,y)) = a(x,y,K(z,x * y)). [para(27(a,2),13684(a,1,3))]. 13686 T(x * y,z) * a(x,y,K(z,x * y)) = (K(x * y,z) * y) * T(x,y). [para(13685(a,1),5285(a,1,2))]. 13687 L(x,y / x,(x * (y / x)) \ 1) = L(x,x \ y,y \ 1). [hyper(285,a,5677,a(flip),b,13681,a),flip(a)]. 13688 L(x,y / x,y \ 1) = L(x,x \ y,y \ 1). [hyper(66,a,13659,a(flip),b,13687,a)]. 13689 1 / L(x,x \ y,y \ 1) = (1 / y) * (y / x). [para(13688(a,1),3669(a,1,2))]. 13690 (1 / ((x \ y) * x)) * (x \ y) = (1 / y) * (y / x). [hyper(66,a,13654,a,b,13689,a)]. 13691 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((1 / ((x \ y) * x)) * y) / ((1 / y) * (y / x)),z). [para(13690(a,1),9904(a,1,1,2)),flip(a)]. 13692 (K(x * y,z) * y) * T(x,y) = x * (y * K(x * y,z)). [hyper(66,a,11724,a(flip),b,13686,a),flip(a)]. 13693 K(x * y,z) * x = x * K(y * x,z). [hyper(13121,a,13692,a)]. 13694 K(x * y,T(z,x)) = K(y * x,z). [hyper(7726,a,13693,a)]. 13695 K(x * y,T(z,y)) = K(y * x,z). [hyper(38,a,7997,a,b,13693,a)]. 13700 K(x * y,z) * y = y * K(y * x,z). [para(13694(a,1),7997(a,1,1))]. 13701 K(x * y,z) * T(x,y) = T(x,y) * K(y * x,z). [para(13694(a,1),8503(a,1,2)),flip(a)]. 13702 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13694(a,1),11906(a,1,1))]. 13703 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [hyper(124,a,13695,a(flip),b,5125,a(flip))]. 13706 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13700(a,1),13527(a,1,1,1))]. 13707 K(x,y) * T(y * x,z) = T(x * y,T(z,y)). [hyper(6545,a,13703,a)]. 13708 (x \ y) \ (K(x \ y,x) * T(x * (x \ y),z)) = T(y,T(z,x)) / (x \ y). [hyper(122,a,13707,a,b,4913,a)]. 13709 (K(x * y,z) * T(x,y)) \ T(x,y) = K(z,y * x). [para(13701(a,2),7399(a,1,1))]. 13710 K(x,y * z) * T(y,z) = T(y,z) * K(x,z * y). [para(13709(a,1),7516(a,1,2)),flip(a)]. 13711 K(x,T(y * z,y)) = K(x,z * y). [hyper(8642,a,13710,a(flip))]. 13712 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(11021,a,13711,a)]. 13713 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(11020,a,13711,a)]. 13715 K(x,T(y * z,z)) = K(x,z * y). [hyper(66,a,10086,a,b,13711,a)]. 13717 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(13711(a,1),13366(a,1,2)),flip(a)]. 13718 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [para(13715(a,1),7779(a,1,1))]. 13719 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(285,a,13407,a(flip),b,13713,a),flip(a)]. 13720 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(13328,a,13717,a)]. 13721 K(x,y) * T(x,y * z) = T(T(x,y),z * y). [hyper(5744,a,13718,a)]. 13722 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(66,a,10132,a(flip),b,13720,a),flip(a)]. 13723 T(x,T(y * z,z)) = T(x,z * y). [hyper(37,a,7825,a,b,13721,a)]. 13724 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [hyper(8241,a,13723,a)]. 13726 T(x,T(y * z,y)) = T(x,z * y). [hyper(37,a,7825,a,b,13724,a)]. 13727 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(66,a,8819,a(flip),b,13719,a),flip(a)]. 13728 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13406,a(flip),b,13727,a)]. 13729 K(x,R(y,z,(K(x,u) * z) \ 1)) = K(x,L(y,z,z \ 1)). [hyper(66,a,13273,a,b,13728,a)]. 13730 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(488(a,1),13728(a,1,2)),flip(a)]. 13731 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13728(a,1),13296(a,1,2))]. 13732 K(x,K(y,L(z,u \ 1,u))) = K(x,K(y,z)). [para(2969(a,1),13731(a,1,2,2))]. 13733 (x / y) \ T(x,K(z,u)) = y * K(x,K(z,u)). [para(13732(a,1),13386(a,2,2))]. 13734 (x \ y) * K(y,K(z,u)) = x \ T(y,K(z,u)). [para(87(a,1),13733(a,1,1)),flip(a)]. 13736 (x \ y) * K(z,K(u,y)) = x \ T(y,K(z,u)). [para(7884(a,2),13734(a,1,2))]. 13737 T(x,y) * K(z,K(u,x * y)) = y \ T(x * y,K(z,u)). [para(27(a,2),13736(a,1,1))]. 13738 T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(6145(a,2),13706(a,1,2,2))]. 13739 K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). [para(7049(a,1),13702(a,1,1,1))]. 13740 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(66,a,10582,a(flip),b,13722,a),flip(a)]. 13741 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(13328,a,13740,a)]. 13742 K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). [para(6631(a,2),13741(a,2,2))]. 13743 (x \ y) \ (K(x \ y,x) * T(y,z)) = T(y,T(z,x)) / (x \ y). [para(15(a,1),13708(a,1,2,2,1))]. 13744 T(x,T(y,z)) / (z \ x) = (x / z) \ T(x,y). [hyper(66,a,5895,a(flip),b,13743,a),flip(a)]. 13745 T(x,y) / ((y \ 1) \ x) = (x / (y \ 1)) \ T(x,y). [para(3034(a,1),13744(a,1,1))]. 13746 T(x,y) / ((y \ 1) \ x) = T(y,x) \ 1. [hyper(285,a,7085,a(flip),b,13745,a),flip(a)]. 13747 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [para(13746(a,1),7303(a,1,1)),flip(a)]. 13748 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(90(a,1),13747(a,1,1,2,1)),flip(a)]. 13749 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [hyper(185,a,13748,a)]. 13750 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(66,a,13650,a,b,13749,a),flip(a)]. 13751 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(13750(a,1),2383(a,1,1))]. 13752 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(7280(a,2),13751(a,1,1))]. 13753 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(14(a,1),13752(a,1,1,1,1)),flip(a)]. 13754 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1277,a,13753,a)]. 13755 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(11974(a,2),13754(a,2,1,1))]. 13756 K(x / y,L((x / y) \ z,x / y,x)) = K(y \ x,y / (x / z)). [hyper(285,a,13038,a(flip),b,13649,a),flip(a)]. 13757 K(x / y,(x / y) \ z) = K(y \ x,y / (x / z)). [hyper(13586,a,13756,a)]. 13759 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = L(T(x,L(x,y,z) \ u),y,z). [hyper(285,a,30,a,b,13676,a),flip(a)]. 13760 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = L(T(x,L(x,z,y) \ u),z,y). [hyper(66,a,30,a,b,13759,a)]. 13761 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(116(a,1),13680(a,1,1,1))]. 13762 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1559,a,13761,a),flip(a)]. 13763 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(116(a,1),13762(a,1,2))]. 13764 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(66,a,6658,a(flip),b,13763,a),flip(a)]. 13766 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(13764(a,1),6653(a,1,1))]. 13767 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(13604,a,13766,a),flip(a)]. 13768 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(13767(a,1),12594(a,1,1))]. 13769 L(K(x,x * y),y,z) = K(x,x * y). [para(8730(a,1),13768(a,1,1))]. 13771 (x * (y \ T(z * y,y))) \ (x * T(z,y)) = K(y,y * z). [hyper(66,a,9928,a,b,13769,a)]. 13772 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(66,a,12686,a(flip),b,13769,a)]. 13773 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(13769(a,2),5344(a,1,2))]. 13775 K(x,(y \ z) \ x) = K(x,x * (z \ y)). [hyper(6645,a,13772,a)]. 13777 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(66,a,12640,a,b,13772,a)]. 13778 K(x,x * (y \ (x \ z))) = K(x,y \ z). [hyper(66,a,10489,a(flip),b,13772,a),flip(a)]. 13779 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(66,a,10486,a(flip),b,13772,a)]. 13780 K(x,y * (L(y,z,u) \ x)) = K(x,x * (L(y,z,u) \ y)). [para(1245(a,1),13772(a,1,2))]. 13781 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(13772(a,1),6653(a,1,1))]. 13782 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(7040(a,2),13775(a,1,2,1))]. 13783 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))). [hyper(66,a,10890,a,b,13779,a)]. 13784 L(K(x,x * (y \ (z \ u))),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(13779(a,1),9228(a,1,1))]. 13785 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6035,a,13773,a)]. 13786 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(y * z,y). [para(9268(a,2),13773(a,1,2))]. 13787 K(x * ((y * z) \ y),x) = K(z \ x,x). [hyper(66,a,12688,a(flip),b,13785,a),flip(a)]. 13788 R(K(x * y,T(y,z)),x,z) = K(y * T(x,z),y). [hyper(66,a,11591,a(flip),b,13785,a)]. 13790 K((x \ y) \ z,z) = K(z * (y \ x),z). [para(15(a,1),13787(a,1,1,2,1)),flip(a)]. 13791 K(x * L(y \ 1,y,z),x) = K(y \ x,x). [para(203(a,2),13787(a,1,1,2))]. 13792 K(x * ((y * (z * u)) \ (y * z)),x) = K(L(u,z,y) \ x,x). [para(103(a,1),13787(a,1,1,2,1))]. 13793 K((x / y) \ z,T(z,y)) = K(z * (x \ y),z). [hyper(66,a,9375,a,b,13790,a)]. 13794 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(66,a,9305,a(flip),b,13790,a),flip(a)]. 13795 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(66,a,6665,a(flip),b,13790,a)]. 13796 K(x \ (y * z),y) = K(y * (x \ z),y). [para(14(a,1),13794(a,1,1,2,2)),flip(a)]. 13797 K((x / y) \ z,y) = K(y * (x \ z),y). [hyper(66,a,9304,a,b,13795,a)]. 13798 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(13795(a,1),5803(a,1,1,1,2))]. 13799 L(K(x * (y \ (z \ u)),x),z \ u,z) = K((z * (x \ y)) \ u,x). [para(13796(a,1),9145(a,1,1))]. 13800 K(x * ((y * x) \ z),x) = K(y \ z,x). [para(16(a,1),13797(a,1,1,1)),flip(a)]. 13801 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [hyper(124,a,13777,a(flip),b,5125,a(flip)),flip(a)]. 13803 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(285,a,5130,a,b,13801,a),flip(a)]. 13804 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(66,a,12540,a(flip),b,13803,a)]. 13805 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(66,a,10879,a(flip),b,13804,a),flip(a)]. 13806 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(13805(a,1),5520(a,1,2))]. 13808 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,y * x). [hyper(66,a,12136,a,b,13771,a)]. 13809 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(10855,a,13782,a)]. 13810 T(K(x * y,T(x,z)),z) = 1 / ((u * (x \ T(x * y,x))) \ (u * y)). [hyper(285,a,7986,a,b,13786,a)]. 13812 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(13604,a,13781,a),flip(a)]. 13813 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9743,a,13812,a)]. 13814 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(66,a,10812,a(flip),b,13813,a),flip(a)]. 13815 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(66,a,11908,a(flip),b,13806,a),flip(a)]. 13817 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(90(a,1),13815(a,1,2,2)),flip(a)]. 13818 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(15(a,2),13817(a,1,2))]. 13819 T(K(x,K(y,z)) * K(y * z,y),x) = 1 / ((u * (y \ T(y * z,y))) \ (u * z)). [para(7937(a,2),13810(a,1,1))]. 13820 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(66,a,5803,a(flip),b,13798,a),flip(a)]. 13821 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(66,a,6671,a,b,13820,a)]. 13822 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1148(a,1),13809(a,1,2,1))]. 13823 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(168(a,1),13822(a,1,2,2))]. 13824 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(66,a,13712,a(flip),b,13823,a)]. 13825 1 / ((x * (y \ T(y * z,y))) \ (x * z)) = K(u,K(y,z)) * K(y * z,T(y,u)). [hyper(66,a,9317,a(flip),b,13819,a),flip(a)]. 13826 L(K(x * y,T(y,z)),x,z) = K(y * x,T(y,z)). [hyper(12163,a,13825,a)]. 13827 K((x / (x * y)) \ z,z) = K(z * y,T(z,x)). [hyper(66,a,12587,a(flip),b,13826,a)]. 13830 L(K(x \ ((y \ 1) \ x),(x \ ((y \ 1) \ x)) * T(x,y)),T(x,y),z) = K(y,x * y). [hyper(285,a,6626,a,b,13808,a),flip(a)]. 13831 L(K(x \ ((y \ 1) \ x),(y \ 1) \ x),T(x,y),z) = K(y,x * y). [para(4084(a,1),13830(a,1,1,2))]. 13832 L(K((x \ 1) \ 1,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(6480(a,1),13831(a,1,1))]. 13833 L(K(x,(x \ 1) \ y),T(y,x),z) = K(x,y * x). [para(3341(a,1),13832(a,1,1))]. 13834 L(K(x,x * y),T(y,x),z) = K(x,y * x). [para(9111(a,1),13833(a,1,1))]. 13835 K(x,y * x) != z | K(x,x * y) = z. [para(13834(a,1),3653(a,1)),flip(b)]. 13836 L(K(x,y * x),T(y,x),z) = K(x,y * x). [para(6626(a,2),13834(a,1,1))]. 13838 L(K(x,y * x),y,z) = K(x,y * x). [hyper(66,a,8725,a(flip),b,13836,a)]. 13839 L(K(x * y,y),x,z) = 1 / K(y,x * y). [para(13838(a,1),6033(a,1,2)),flip(a)]. 13840 L(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,5344,a(flip),b,13839,a),flip(a)]. 13841 L(K(x * L(y,z,u),x),L(y,z,u),u * z) = L(K(y * x,x),z * y,u). [para(13840(a,1),11377(a,1,1)),flip(a)]. 13842 L(K(x * y,y),z * x,u) = K(y * L(x,z,u),y). [hyper(66,a,13785,a(flip),b,13841,a),flip(a)]. 13845 L(K((x \ (y \ z)) * u,u),x * (x \ (y \ z)),y) = K(u * ((y * x) \ z),u). [para(268(a,1),13842(a,2,1,2))]. 13846 L(K(L(x \ 1,x,y) * z,z),(y * x) * L(x \ 1,x,y),u) = K(z * ((u * (y * x)) \ (u * y)),z). [para(393(a,1),13842(a,2,1,2))]. 13847 L(K(x * (y \ (z \ u)),x),y * (y \ (z \ u)),z) = K(x * ((z * y) \ u),x). [para(5785(a,1),13845(a,1,1))]. 13848 L(K(x * (y \ (z \ u)),x),z \ u,z) = K(x * ((z * y) \ u),x). [para(15(a,1),13847(a,1,2))]. 13849 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(66,a,13799,a(flip),b,13848,a)]. 13851 K(x * ((y * (x * z)) \ u),x) = K((y * z) \ u,x). [para(14(a,1),13849(a,1,1,1,2)),flip(a)]. 13852 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(13849(a,1),5804(a,1,1,1,2))]. 13853 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(66,a,13794,a(flip),b,13851,a)]. 13854 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(66,a,10613,a(flip),b,13853,a),flip(a)]. 13856 (1 / (x * y)) * (T(x,y) * T(T(y,x),z)) = K(((1 / (y * x)) * x) \ 1,z). [para(4113(a,1),13648(a,1,2,2,1))]. 13857 (1 / (x * y)) * (K(y,z) * (x * y)) = K(((1 / (y * x)) * x) \ 1,z). [para(5740(a,1),13856(a,1,2))]. 13858 (1 / (x * y)) * (K(y,z) * (x * y)) = K((((y * x) \ 1) * x) \ 1,z). [hyper(285,a,6705,a(flip),b,13857,a),flip(a)]. 13859 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7486,a,13852,a),flip(a)]. 13861 K((((1 / x) * y) \ 1) / ((x \ 1) * (y * (x / y))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12242(a,1),13663(a,1,1,2))]. 13862 K((((1 / x) * y) \ 1) * (x * (1 / (y * (x / y)))),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(12349(a,1),13861(a,1,1))]. 13863 K((((1 / x) * y) \ 1) * (x * ((y * (x / y)) \ 1)),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [hyper(66,a,6699,a(flip),b,13862,a)]. 13864 K((((1 / x) * y) \ 1) * K(y \ x,y),z) = K(((((y \ x) * y) \ 1) * y) \ 1,z). [para(7258(a,1),13863(a,1,1,2))]. 13865 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ K(x \ y,x),z). [para(11840(a,1),13864(a,1,1)),flip(a)]. 13866 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(T(((1 / y) * x) \ 1,x),z). [para(6163(a,1),13865(a,2,1))]. 13867 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((1 / y) * x) \ 1,T(z,x)). [hyper(285,a,7761,a(flip),b,13866,a),flip(a)]. 13868 K(((((x \ y) * x) \ 1) * x) \ 1,z) = K(((y \ 1) * x) \ 1,T(z,x)). [hyper(285,a,6705,a(flip),b,13867,a),flip(a)]. 13869 L(K(x * L(y \ 1,y,z),x),(z * y) * L(y \ 1,y,z),u) = K(x * ((u * (z * y)) \ (u * z)),x). [para(5785(a,1),13846(a,1,1))]. 13870 L(K(x \ y,y),(z * x) * L(x \ 1,x,z),u) = K(y * ((u * (z * x)) \ (u * z)),y). [para(13791(a,1),13869(a,1,1))]. 13871 K(x * ((y * (z * u)) \ (y * z)),x) = L(K(u \ x,x),z,y). [para(360(a,1),13870(a,1,2)),flip(a)]. 13873 L(K(x \ y,y),z,u) = K(L(x,z,u) \ y,y). [hyper(66,a,13792,a(flip),b,13871,a),flip(a)]. 13874 K(L(x,y,z) \ u,u) \ 1 = L(K(u,x \ u),y,z). [para(13873(a,1),6032(a,1,1))]. 13875 K(L(x \ y,z,u) \ y,y) = L(K(x,y),z,u). [para(6475(a,1),13873(a,1,1)),flip(a)]. 13876 T(x * y,x) / T(T(x,L(z \ x,u,w) \ x) * y,x) = L(K(z,x),u,w). [hyper(66,a,9335,a,b,13875,a)]. 13877 T(x,L(y \ x,z,u) \ x) = 1 / (x \ L(K(y,x),z,u)). [para(13875(a,1),5302(a,2,2,2))]. 13878 L(K(x,y \ x),z,u) = K(x,L(y,z,u) \ x). [hyper(5332,a,13874,a),flip(a)]. 13879 L(K(x,x * (y \ z)),u,w) = K(x,L(z \ y,u,w) \ x). [para(13775(a,1),13878(a,1,1))]. 13880 T(x,L(y \ x,z,u) \ x) = x * L(K(x,y),z,u). [hyper(285,a,11639,a(flip),b,13877,a),flip(a)]. 13881 K(x,L((y \ z) \ u,y \ z,y) \ x) = K(x,(y * (x \ u)) \ z). [hyper(66,a,13784,a(flip),b,13879,a),flip(a)]. 13882 K(x,(y \ (z * u)) \ x) = K(x,(z * (x \ u)) \ y). [para(453(a,1),13881(a,1,2,1))]. 13883 K(x,(y * (x \ z)) \ u) = K(x,x * ((y * z) \ u)). [hyper(66,a,13775,a(flip),b,13882,a),flip(a)]. 13885 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(8619,a,13883,a)]. 13886 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(285,a,13778,a(flip),b,13883,a),flip(a)]. 13887 K(x,x * ((y * (x * z)) \ u)) = K(x,(y * z) \ u). [para(14(a,1),13883(a,1,2,1,2)),flip(a)]. 13888 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(13605,a,13886,a)]. 13889 K(x,(y * (x * z)) \ u) = K(x,(y * z) \ (x \ u)). [para(14(a,1),13886(a,1,2,1,2)),flip(a)]. 13890 K(x,(y * z) \ u) * T(x * K(((y * (x * z)) \ u) * x,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13887(a,1),11408(a,1,1))]. 13891 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,(x * (y * z)) \ u) * K(w,K(y,(x * z) \ u)). [para(13887(a,1),13737(a,1,2,2)),flip(a)]. 13892 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(13888(a,1),6653(a,1,1)),flip(a)]. 13893 K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(6806(a,1),13888(a,1,2,2,1,2))]. 13894 T(x * y,x) / T((x * L(K(x,z),u,w)) * y,x) = L(K(z,x),u,w). [para(13880(a,1),13876(a,1,2,1,1))]. 13895 T(x * y,x) / T(x * (L(K(x,z),u,w) * y),x) = L(K(z,x),u,w). [para(5952(a,1),13894(a,1,2,1))]. 13897 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(13892(a,2),13604(a,1))]. 13898 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). [para(23(a,2),13742(a,1,2,2,2)),flip(a)]. 13899 K(x,(y * z) \ u) * T(x * K(x * ((y * (x * z)) \ u),x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(5785(a,1),13890(a,1,2,1,2))]. 13900 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * (y * z)) \ u) * T(y,K(w,(x * z) \ u)). [hyper(285,a,7894,a,b,13891,a),flip(a)]. 13901 K(x,(y * z) \ u) * T(x * K((y * z) \ u,x),(y * (x * z)) \ u) = T(x,T((y * (x * z)) \ u,x)). [para(13851(a,1),13899(a,1,2,1,2))]. 13902 T(x,T((y * (x * z)) \ u,(y * z) \ u)) = T(x,T((y * (x * z)) \ u,x)). [hyper(8641,a,13901,a)]. 13904 T(x,T((y * (x * z)) \ u,(y * z) \ u)) != w | T(x,(y * (x * z)) \ u) = w. [para(13902(a,2),4222(a,1))]. 13905 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = K(y,(x * z) \ (y \ u)) * T(y,K(w,(x * z) \ u)). [para(13889(a,1),13900(a,2,1))]. 13906 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(w,y)) = T(y,T((x * z) \ (y \ u),w)). [hyper(285,a,10587,a(flip),b,13905,a),flip(a)]. 13907 ((x * (y * z)) \ u) \ T(y * ((x * (y * z)) \ u),K(y,w)) = T(y,T((x * z) \ (y \ u),w)). [para(7940(a,1),13906(a,1,2))]. 13908 T(x,T((y * (x * z)) \ u,w)) = T(x,T((y * z) \ (x \ u),w)). [hyper(10219,a,13907,a)]. 13909 T(x,T((y * z) \ (x \ u),(y * z) \ u)) = T(x,(y * (x * z)) \ u). [hyper(13904,a,13908,a),flip(a)]. 13910 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,10444,a(flip),b,13909,a),flip(a)]. 13911 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(66,a,8882,a,b,13910,a)]. 13912 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = L(T(x,L(x,z,y) \ u),z,y). [para(13911(a,1),13760(a,1,1))]. 13913 L(T(x,L(x,y,z) \ u),y,z) = L(T(x,x \ u),y,z). [para(13672(a,1),13912(a,1,1)),flip(a)]. 13914 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(13913(a,1),5644(a,1,2,1))]. 13916 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(66,a,5644,a(flip),b,13914,a),flip(a)]. 13917 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13893,a(flip),b,13916,a),flip(a)]. 13918 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(13897,a,13917,a)]. 13919 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(66,a,13885,a(flip),b,13918,a)]. 13920 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(13(a,1),13919(a,1,2,2,1))]. 13921 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(285,a,7180,a(flip),b,13920,a),flip(a)]. 13922 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(285,a,13859,a(flip),b,13921,a),flip(a)]. 13923 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(13(a,1),13922(a,2,2,2,1))]. 13924 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))). [hyper(66,a,13783,a,b,13923,a)]. 13925 K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(285,a,13814,a(flip),b,13924,a),flip(a)]. 13927 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(3245(a,1),13925(a,1,2))]. 13928 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(13927(a,1),7399(a,1,1,2)),flip(a)]. 13929 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(285,a,7399,a(flip),b,13928,a),flip(a)]. 13930 T(L(x,y,z) * K((u \ 1) \ x,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13929(a,1),6571(a,1,1,2))]. 13931 T(L(x,y,z) * K(x * (1 \ u),L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(13821(a,1),13930(a,1,1,2))]. 13932 T(L(x,y,z) * K(x * u,L(x,y,z)),u) = u \ T(L(x,y,z) * u,L(x,y,z)). [para(78(a,1),13931(a,1,1,2,1,2))]. 13933 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5795(a,1),13932(a,1,1))]. 13934 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(66,a,30,a,b,13933,a)]. 13935 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5719(a,1),13934(a,1,1)),flip(a)]. 13936 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4254,a,13935,a)]. 13937 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(146,a,13936,a)]. 13938 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(13936(a,1),9082(a,1,2))]. 13940 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(66,a,13242,a(flip),b,13937,a),flip(a)]. 13942 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(13937(a,1),11884(a,1,2))]. 13944 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(13940(a,1),473(a,1,1)),flip(a)]. 13945 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(12830,a,13942,a),flip(a)]. 13947 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). [para(13940(a,1),13942(a,1,2))]. 13948 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(13945(a,1),11872(a,1,2)),flip(a)]. 13949 K(x * L(y,z,u),y) = K(y * x,y). [hyper(285,a,12775,a(flip),b,13948,a),flip(a)]. 13953 K(L(x,y,z) * u,x) = K(x * u,x). [hyper(66,a,10352,a,b,13949,a)]. 13956 K(x * (L(x,y,z) \ u),x) = K(u,x). [para(15(a,1),13953(a,1,1)),flip(a)]. 13957 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(66,a,13794,a(flip),b,13956,a)]. 13959 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(10966,a,13957,a)]. 13963 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10658(a,1),13938(a,1))]. 13964 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(285,a,112,a(flip),b,13944,a),flip(a)]. 13965 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10040(a,1),13964(a,1,1,1)),flip(a)]. 13966 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(13964(a,1),13473(a,1,1))]. 13968 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(13966(a,1),12880(a,1))]. 13969 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(66,a,13556,a(flip),b,13947,a),flip(a)]. 13970 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(341(a,1),13969(a,1,2,3))]. 13971 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12865,a,13970,a)]. 13972 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(13968,a,13971,a)]. 13973 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(66,a,13553,a(flip),b,13971,a),flip(a)]. 13974 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(15(a,1),13972(a,1,2)),flip(a)]. 13975 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [hyper(124,a,13974,a(flip),b,11754,a),flip(a)]. 13976 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [hyper(124,a,13974,a(flip),b,11743,a),flip(a)]. 13977 T(x,y) * R(a(T(x,y),z,T(x,y)),u,w) = R(T(x,y),z,R(x,T(x,y) \ u,w)). [hyper(66,a,10040,a(flip),b,13976,a),flip(a)]. 13978 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(13973(a,1),13292(a,1,1))]. 13979 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(66,a,10644,a(flip),b,13978,a)]. 13980 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12940(a,1),13977(a,1,2,1)),flip(a)]. 13981 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(285,a,13975,a,b,13980,a),flip(a)]. 13983 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(T(x,y),z,R(x,x \ u,w)) * (T(x,y) \ u)) * w. [para(13981(a,1),13965(a,2,1,1))]. 13984 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(11064(a,1),13755(a,1,1)),flip(a)]. 13985 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(285,a,11974,a(flip),b,13984,a),flip(a)]. 13987 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(285,a,5130,a,b,13985,a),flip(a)]. 13988 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(11970(a,1),13987(a,1,1,1))]. 13989 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(66,a,12216,a,b,13988,a)]. 13990 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7860(a,1),13373(a,1,2,1,2))]. 13991 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((1 / y) * (y / x)),z). [para(5882(a,1),13691(a,2,1,1))]. 13992 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(K(x,x \ y) / ((y \ 1) * (y / x)),z). [hyper(285,a,6732,a(flip),b,13991,a),flip(a)]. 13993 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = K(((y \ 1) * (x \ y)) \ 1,z). [hyper(285,a,6580,a(flip),b,13992,a),flip(a)]. 13994 K(x,((1 / ((x \ y) * x)) * y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(285,a,6749,a(flip),b,13993,a),flip(a)]. 13995 K(x,K(x,x \ y) / ((1 / ((x \ y) * x)) * (z \ y))) = (1 / y) * (K(x,z) * y). [para(5882(a,1),13994(a,1,2,1))]. 13996 K(x,K(x,x \ y) / ((((x \ y) * x) \ 1) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,7185,a(flip),b,13995,a)]. 13997 T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(10114(a,1),13990(a,1,2,1,2))]. 13998 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7897(a,1),13997(a,1,2,1,2))]. 13999 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7954(a,1),13998(a,1,2,1,2))]. 14000 T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(5414(a,2),13999(a,1,2,1))]. 14001 K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [hyper(66,a,5577,a,b,14000,a)]. 14002 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). [para(10129(a,1),14001(a,1,1)),flip(a)]. 14003 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14002(a,2,2))]. 14004 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14003,a),flip(a)]. 14006 K(R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),13105(a,1,1,1))]. 14007 K(K(x,y) * R(K(y,x),z,u),((z * u) \ K(x,y)) \ 1) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(12039(a,1),14006(a,1,1))]. 14008 K(K(x,y) * R(K(y,x),z,u),K(x,y) \ (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [hyper(6423,a,14007,a)]. 14010 K(K(x,y) * R(K(y,x),z,u),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(5334(a,1),14008(a,1,2))]. 14011 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),13989(a,1,2,1,1))]. 14012 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14011(a,1,2,1))]. 14013 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7908(a,1),14012(a,1,2,1))]. 14015 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(11966(a,1),14013(a,1,2,2,1))]. 14016 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8312(a,1),14015(a,1,2,2))]. 14018 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12024(a,1),14016(a,1,2))]. 14019 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(66,a,11966,a(flip),b,14018,a)]. 14020 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(66,a,12034,a,b,14019,a)]. 14021 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12023,a(flip),b,14020,a)]. 14022 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(66,a,12328,a(flip),b,14021,a),flip(a)]. 14023 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(66,a,11979,a(flip),b,14022,a)]. 14024 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(66,a,11088,a(flip),b,14023,a)]. 14025 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(14024(a,1),11962(a,1,1)),flip(a)]. 14026 T(K(x,y) * K(y * R(x,z,u),x),w) * v5 = R(T(x,w),y,R(x,z,u)) * (T(x,w) \ v5). [hyper(66,a,11170,a(flip),b,14025,a),flip(a)]. 14027 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(11981(a,1),14026(a,1,1)),flip(a)]. 14029 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(14027(a,1),13983(a,2,1))]. 14030 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13974(a,1),14029(a,2,1,1))]. 14032 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(9261(a,1),14030(a,1,1,1))]. 14034 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(13053(a,1),14032(a,1,1))]. 14035 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12851(a,1),14034(a,1,1)),flip(a)]. 14036 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [para(14035(a,1),468(a,1,2))]. 14037 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(13018,a,14036,a),flip(a)]. 14038 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12859(a,1),14037(a,2,2))]. 14040 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(285,a,12863,a(flip),b,14038,a),flip(a)]. 14042 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(55,a,14040,a)]. 14043 (R(a(x,y,x),z,u) * (T(z,R(a(x,y,x),z,u)) * u)) / u = z * R(a(x,y,x),z,u). [para(14042(a,1),12905(a,1,2))]. 14044 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12910(a,1),14043(a,1,1,2,1))]. 14045 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(480,a,14044,a),flip(a)]. 14047 R(a(x,y,x),z,u) = a(x,y,x). [hyper(37,a,12857,a(flip),b,14045,a),flip(a)]. 14048 ((a(x,y,x) * R(z,u,w)) * (u * w)) / ((z * u) * w) = a(x,y,x). [hyper(66,a,470,a,b,14047,a)]. 14050 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(66,a,13972,a(flip),b,14047,a)]. 14051 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(66,a,13432,a(flip),b,14047,a),flip(a)]. 14052 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(14047(a,1),112(a,1,1)),flip(a)]. 14054 L(x,y,a(z,u,z)) = x. [para(14047(a,1),14042(a,1,3))]. 14056 L(x,y,a(z,u,z)) != w | x = w. [para(14054(a,1),53(a,2))]. 14057 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(14054(a,1),499(a,1,2))]. 14058 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = ((a(x,y,x) * (z * u)) * w) / (u * w). [para(14054(a,1),443(a,1,2,1)),flip(a)]. 14061 L(x,y,R(x,z,u)) = a(x,y,x) \ x. [para(14050(a,1),13203(a,1,1)),flip(a)]. 14062 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(14050(a,1),13979(a,1,2)),flip(a)]. 14063 L(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)) \ x. [para(13945(a,2),14061(a,2,1))]. 14066 L(a(x,L(y,z,u),x),L(y,z,u),w) = a(x,L(y * K(w,y),z,u),x). [para(5795(a,1),14051(a,1,2)),flip(a)]. 14067 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),19(a,2,1)),flip(a)]. 14068 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12857(a,1),14052(a,1,1))]. 14069 L(x,y,R(x,z,u)) = L(x,y,L(x,w,v5)). [hyper(285,a,11880,a(flip),b,14063,a),flip(a)]. 14071 L(x,y,L(x,z,u)) = L(x,y,x). [para(352(a,1),14069(a,1,3)),flip(a)]. 14072 L(L(x,y,z),u,L(x,w,v5)) = L(L(x,u,x),y,z). [para(14071(a,1),35(a,1,1)),flip(a)]. 14074 T(L(x,x \ y,x) \ y,L(x,z,u)) = x \ T(y,L(x,z,u)). [para(14071(a,1),11251(a,1,1,1))]. 14077 (L(x,y,z) \ L(L(x,u,x),y,z)) \ w = w * a(L(x,y,z),u,L(x,y,z)). [para(14072(a,1),12891(a,1,1,2))]. 14078 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(285,a,12801,a(flip),b,14062,a),flip(a)]. 14080 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(11426,a,14078,a),flip(a)]. 14082 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(66,a,13014,a(flip),b,14080,a)]. 14083 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(66,a,11679,a(flip),b,14082,a)]. 14087 K(x,y \ (z * R(x,u,w))) = K(x,(z \ y) \ x). [hyper(66,a,11178,a(flip),b,14083,a)]. 14089 K(x,y \ (z * R(x,u,w))) = K(x,x * (y \ z)). [hyper(285,a,13775,a(flip),b,14087,a),flip(a)]. 14090 K(x,y \ (R(x,z,u) * w)) = K(x,x * (y \ w)). [hyper(66,a,11547,a,b,14089,a)]. 14091 K(x,y \ ((x * z) * u)) = K(x,x * (y \ (z * u))). [hyper(66,a,11548,a(flip),b,14089,a)]. 14093 K(x,y \ (x \ ((x * z) * u))) = K(x,x * (y \ (x \ (z * u)))). [para(1166(a,1),14090(a,1,2,2))]. 14095 K(x,x * (y \ ((z / x) * u))) = K(x,y \ (z * u)). [hyper(66,a,10612,a(flip),b,14091,a),flip(a)]. 14096 K(x,y \ ((z * x) * u)) = K(x,x * (y \ (z * u))). [para(16(a,1),14095(a,1,2,2,2,1)),flip(a)]. 14097 K(x,K(y,(z * y) * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(14096(a,1),10223(a,1,2))]. 14098 T(x / T(y,x),L(y,z,u)) = y \ T(x,L(y,z,u)). [para(7646(a,1),14074(a,1,1))]. 14100 K(x,y \ (x \ ((x * z) * u))) = K(x,y \ (z * u)). [hyper(285,a,13778,a(flip),b,14093,a),flip(a)]. 14101 K(x,y \ (x \ (z * u))) = K(x,y \ ((x \ z) * u)). [para(15(a,1),14100(a,1,2,2,2,1))]. 14102 K(x,(y * (z / u)) \ ((x \ (y * x)) * z)) = L(K(x,u),z,y * x). [hyper(13251,a,14101,a),flip(a)]. 14103 (R(x * a(y,x,y),z,u) * (z * u)) / ((x * z) * u) = a(y,R(x,z,u),y). [para(12938(a,1),14048(a,1,1,1))]. 14105 K(x,(y * (z / u)) \ (T(y,x) * z)) = L(K(x,u),z,y * x). [para(27(a,2),14102(a,1,2,2,1))]. 14106 L(K(x,y),z,u * x) = K(x,(u * (z / y)) \ (u * z)). [hyper(66,a,10487,a(flip),b,14105,a),flip(a)]. 14107 L(K(x,y),z,u * x) = L(K(x,y),z,u). [hyper(285,a,6638,a(flip),b,14106,a),flip(a)]. 14108 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = (T((x * y) * z,w) * L(K(y,u),z,x)) \ (T((x * y) * z,w) * K(y,u)). [para(14107(a,1),11428(a,1,1,2)),flip(a)]. 14109 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,L(z * K(x * y,z),y,x),u). [hyper(66,a,13488,a(flip),b,14066,a)]. 14110 (((x * a(y,x,y)) * z) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(112(a,1),14103(a,1,1))]. 14111 K(x,K(y,z * u)) * K(y,y * (x \ (z * u))) = K(y,((z * y) * u) / x). [para(11543(a,1),14097(a,1,1))]. 14112 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = (a(x,y,x) * ((z * u) * w)) / (u * w). [para(14052(a,1),14058(a,2,1))]. 14113 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * (((z * u) * w) / (u * w)). [hyper(285,a,14057,a(flip),b,14112,a),flip(a)]. 14114 R(a(x,y,x) * z,L(u,z,a(x,y,x)),w) = a(x,y,x) * R(z,u,w). [para(25(a,2),14113(a,2,2))]. 14115 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [para(14054(a,1),14114(a,1,2))]. 14116 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14067(a,1,2,1))]. 14117 (x * (y * z)) \ (x * (y * (T(u * z,u) / u))) = a(u,(x * (y * z)) / (x * y),u). [para(5392(a,1),14109(a,2,2))]. 14118 L(L(a(x,y,x),y,z),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [hyper(12808,a,14117,a)]. 14119 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(14052(a,1),14116(a,1,2))]. 14120 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(770,a,14119,a)]. 14121 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(14056,a,14120,a),flip(a)]. 14123 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(12799(a,1),14121(a,1,1))]. 14124 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(12810(a,1),14121(a,1,1))]. 14125 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(12796(a,1),14121(a,1,1))]. 14126 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(15(a,1),14123(a,1,1,1)),flip(a)]. 14127 a(K(x * T(y,z),y),u,w) = a(K(x * y,(x * y) \ y),u,w). [para(8174(a,2),14125(a,2,1)),flip(a)]. 14128 a(K(x * y,y \ 1),z,u) = a(K(x,y \ 1),z,u). [para(7219(a,1),14126(a,1,1))]. 14129 a(K(x * T(y,z),y),u,w) = a(K(y * x,x \ 1),u,w). [para(7241(a,1),14127(a,2,1))]. 14130 a(K(x * T(y,z),y),u,w) = a(K(y,x \ 1),u,w). [hyper(285,a,14128,a(flip),b,14129,a),flip(a)]. 14131 a(K(x * y,y),z,u) = a(K(y,x \ 1),z,u). [para(115(a,1),14130(a,1,1,1,2))]. 14132 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(66,a,14124,a(flip),b,14131,a),flip(a)]. 14133 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(4596(a,1),14132(a,1,1)),flip(a)]. 14134 a(K(x \ 1,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u) \ 1),w,v5). [para(6092(a,1),14132(a,1,1))]. 14135 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(13035(a,2),14133(a,2,1)),flip(a)]. 14136 a(K(R(x,y,z),u \ 1),w,v5) = a(K(x,R(u,y,z) \ 1),w,v5). [hyper(66,a,14132,a(flip),b,14134,a)]. 14137 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [hyper(66,a,14132,a(flip),b,14136,a),flip(a)]. 14138 a(K(R(x,y,z),u),w,v5) = a(K(x,R(u,y,z)),w,v5). [hyper(66,a,14132,a(flip),b,14137,a)]. 14139 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6107(a,1),14135(a,2,1))]. 14140 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(285,a,14133,a(flip),b,14139,a),flip(a)]. 14141 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(13035(a,1),14140(a,1,1))]. 14142 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [hyper(285,a,14138,a(flip),b,14141,a),flip(a)]. 14143 K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(5830(a,1),13739(a,1,1))]. 14144 K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(15(a,1),14143(a,1,2,2,1,2))]. 14146 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8749(a,1),14144(a,1,2))]. 14147 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). [para(12907(a,1),12915(a,2,2,1,1))]. 14148 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ (T(y * (x \ 1),y) * R(T(y * (x \ 1),y) \ y,z,u)). [hyper(285,a,1535,a(flip),b,14147,a),flip(a)]. 14149 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T((y * (x \ 1)) * R((y * (x \ 1)) \ y,z,u),y). [para(1726(a,1),14148(a,2,2))]. 14150 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * ((x \ 1) * R((x \ 1) \ 1,z,u)),y). [para(820(a,1),14149(a,2,2,1))]. 14151 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1158(a,1),14150(a,2,2,1,2))]. 14152 T(x \ (a(y,x \ 1,y) * R(a(y,x \ 1,y) \ x,z,u)),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1535(a,1),14151(a,1,1))]. 14153 T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(14115(a,2),14152(a,1,1,2))]. 14154 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(15(a,1),14153(a,1,1,2,1)),flip(a)]. 14155 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(14047(a,1),12811(a,1,1,1)),flip(a)]. 14156 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (L(T(u,z),z,u) \ y)) \ (K(u * z,u) * (y * x)). [para(12946(a,1),14155(a,2,1))]. 14158 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (u * (T(u,u * z) \ y)) \ (K(u * z,u) * (y * x)). [para(662(a,1),14156(a,2,1,2,1))]. 14159 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(5157(a,1),14158(a,2,1))]. 14160 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(285,a,23,a,b,14159,a),flip(a)]. 14161 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(14047(a,1),14160(a,1,3))]. 14162 L(x,y,K(z * u,z)) = L(x,y,K(u,z)). [hyper(14056,a,14161,a),flip(a)]. 14165 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(15(a,1),14162(a,1,3,1)),flip(a)]. 14166 L(x,y / z,K(y,z)) = x. [hyper(7748,a,14165,a)]. 14167 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(14166(a,1),5651(a,1,2)),flip(a)]. 14168 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5452,a,14167,a)]. 14169 R(K(x,y),x \ y,z) = K(x,y). [hyper(9006,a,14168,a)]. 14170 R(K(x,x * y),y,z) = K(x,x * y). [para(14(a,1),14169(a,1,2))]. 14172 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(14170(a,1),12676(a,2,2))]. 14173 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(285,a,5130,a,b,14172,a),flip(a)]. 14175 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(66,a,4831,a(flip),b,14173,a)]. 14176 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(17(a,1),14175(a,1,2,1,2))]. 14177 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(66,a,10869,a,b,14176,a)]. 14178 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(285,a,5130,a(flip),b,14177,a)]. 14179 K(x,(x * y) / z) = K(x,x * (y / z)). [hyper(37,a,9480,a,b,14178,a)]. 14180 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(37,a,5130,a(flip),b,14178,a)]. 14181 K(x,K(y,z)) * K(y,x \ (y * z)) = K(y,y * (z / x)). [hyper(66,a,10224,a,b,14179,a)]. 14182 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(66,a,10854,a(flip),b,14180,a)]. 14183 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(14180(a,1),8052(a,1,1,2))]. 14184 K(x,x * ((y * z) / ((u * y) * z))) = K(x,R(u,y,z) \ x). [para(25(a,2),14182(a,1,2,1)),flip(a)]. 14185 (x * K(y,y * (z / u))) \ x = K((u / z) \ y,y). [para(14182(a,1),7399(a,1,1,2))]. 14186 K((x / y) \ z,z) = K(z * (y / x),z). [hyper(7411,a,14185,a),flip(a)]. 14187 K(x * ((y * z) / y),x) = K(x * z,T(x,y)). [hyper(66,a,13827,a(flip),b,14186,a),flip(a)]. 14188 K(x * ((y * z) / ((u * y) * z)),x) = K(R(u,y,z) \ x,x). [para(25(a,2),14186(a,1,1,1)),flip(a)]. 14189 K(((T(x,x \ 1) * y) / y) \ z,z) = K(z * R(x \ 1,x,y),z). [para(3064(a,1),14186(a,2,1,2))]. 14190 K(x * (y \ z),T(x,y)) = K(x * (z / y),x). [para(15(a,1),14187(a,1,1,2,1)),flip(a)]. 14191 K(x * (y \ z),T(x,z)) = K(x * (z / y),x). [hyper(66,a,10393,a,b,14190,a)]. 14192 K(x * (y / z),x) * K(x,T(z \ y,y)) = a(x,z \ y,x). [para(14191(a,1),13278(a,1,1))]. 14193 K(x,K(y,z)) * K(y,y * (x \ z)) = K(y,y * (z / x)). [para(13779(a,1),14181(a,1,2))]. 14194 K(x,((y * x) * z) / u) = K(x,x * ((y * z) / u)). [hyper(66,a,14111,a(flip),b,14193,a)]. 14195 K(x,x * ((y * z) / ((u * y) * z))) = K(R(x,y,z),u \ x). [hyper(66,a,11203,a(flip),b,14194,a),flip(a)]. 14196 K(x * (y / z),x) * K(x,y / z) = a(x,z \ y,x). [para(7995(a,1),14192(a,1,2))]. 14197 a(x,y / z,x) = a(x,z \ y,x). [hyper(12802,a,14196,a)]. 14198 a(x,(y \ z) \ z,x) = a(x,y,x). [para(87(a,1),14197(a,1,2)),flip(a)]. 14199 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(113(a,2),14197(a,1,2))]. 14200 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14197(a,1,2))]. 14201 a(x,T(y,z),x) = a(x,y,x). [para(4140(a,2),14198(a,1,2))]. 14202 a(x,y * K(z,y),x) = a(x,y,x). [para(5930(a,1),14198(a,1,2)),flip(a)]. 14203 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(13081(a,1),14198(a,1,2)),flip(a)]. 14204 a(x,T(y,z),x) = K(x * y,T(T(x,u),w)) * K(x,T(T(y,u),w)). [hyper(285,a,13481,a,b,14201,a),flip(a)]. 14205 a(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(14201(a,1),12812(a,1,1))]. 14206 L(a(x,y,x),y,z) = a(x,y,x). [hyper(66,a,14051,a(flip),b,14202,a)]. 14208 L(a(x,y,x),z * y,u) = a(x,(u * (z * y)) / (u * z),x). [para(14206(a,1),14118(a,1,1))]. 14209 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(66,a,14203,a(flip),b,14199,a)]. 14211 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,R(y \ u,y,z),x) \ w). [para(14209(a,2),12874(a,1,2,1)),flip(a)]. 14212 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(66,a,14184,a(flip),b,14195,a),flip(a)]. 14213 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(66,a,11463,a(flip),b,14212,a),flip(a)]. 14214 L(a(x,y,x),z * y,u) = a(x,(u * z) \ (u * (z * y)),x). [hyper(285,a,14197,a(flip),b,14208,a),flip(a)]. 14216 L(a(x,y,x),z * y,u) = a(x,L(y,z,u),x). [para(23(a,2),14214(a,2,2))]. 14217 L(a(x,(y \ z) \ u,x),(y \ z) * ((y \ z) \ u),y) = a(x,z \ (y * u),x). [para(453(a,1),14216(a,2,2))]. 14218 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8054,a,14183,a),flip(a)]. 14219 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(66,a,9394,a(flip),b,14218,a)]. 14220 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(10877,a,14219,a)]. 14221 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(14220(a,1),14146(a,1,2))]. 14222 K(x * R(y \ 1,y,z),x) = K(T(y,y \ 1) \ x,x). [para(16(a,1),14189(a,1,1,1)),flip(a)]. 14223 K(x * R(y \ 1,y,z),x) = K(y \ x,x). [hyper(285,a,6690,a(flip),b,14222,a),flip(a)]. 14225 K(x * T(y,z),T(x,u)) = K(x * y,T(T(x,u),z)). [hyper(13284,a,14204,a)]. 14226 K(x * T(y,z),T(x,u)) = T(K(x * y,T(x,u)),z). [hyper(285,a,7681,a(flip),b,14225,a),flip(a)]. 14228 T(K(x * y,x) * K(x,K(y,z)),u) = K(x * T(y,u),T(x,z)). [para(8239(a,2),14226(a,2,1)),flip(a)]. 14229 T(K(x * y,y) * K(y,K(x,z)),u) = K(y * T(x,u),T(y,z)). [para(5785(a,2),14228(a,1,1,1))]. 14230 K(x,K(y,T(z,u))) * K(y * x,T(x,u)) = K(x * T(y,u),T(x,z)). [hyper(66,a,12176,a,b,14229,a)]. 14231 K(x * T(y,z),x) = K(y * x,T(x,z)). [hyper(37,a,8481,a,b,14230,a)]. 14232 R(K(x * y,T(y,z)),x,z) = K(x * y,T(y,z)). [hyper(66,a,13788,a,b,14231,a)]. 14233 R(K(x * (y * K(z,y)),y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(5150(a,1),14232(a,1,1,2))]. 14234 L(a(x,(y \ z) \ u,x),u,y) = a(x,z \ (y * u),x). [para(15(a,1),14217(a,1,2))]. 14235 L(a(x,((y * z) \ (z * (T(y,z) * u))) \ u,x),u,y * z) = a(x,a(z,T(y,z),u),x). [para(212(a,1),14234(a,2,2))]. 14236 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),T(y * K(z,y),z)). [para(8215(a,1),14233(a,1,1))]. 14237 R(K(x * y,y),x,z) = K(x * (y * K(z,y)),y). [para(5150(a,1),14236(a,2,2))]. 14239 R(K(x * y,y),x,z) = K(x * y,y). [hyper(285,a,8215,a(flip),b,14237,a),flip(a)]. 14241 R(K(x * y,x),y,z) = K(y * x,x). [para(5785(a,1),14239(a,1,1))]. 14242 ((K(x * R(y,y \ z,u),x) * R(y,y \ z,u)) * ((y \ z) * u)) / (z * u) = K(R(y,y \ z,u) * x,x). [hyper(66,a,1688,a,b,14241,a)]. 14243 a(x,R(y \ R(y,z,u),y,z * u),x) = a(x,a(y,z,u),x). [para(19(a,2),14200(a,2,2))]. 14244 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,T(z,u),y),x). [para(12900(a,2),14235(a,1,1,2,1))]. 14245 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(8366(a,1),14221(a,1,2)),flip(a)]. 14246 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(285,a,5520,a(flip),b,14245,a),flip(a)]. 14247 L(x,y / z,x) = L(x,z \ y,x). [hyper(66,a,13818,a(flip),b,14246,a),flip(a)]. 14249 L(x,(y \ z) \ z,x) = L(x,y,x). [para(87(a,1),14247(a,1,2)),flip(a)]. 14250 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5379(a,2),14247(a,1,2))]. 14251 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(13073(a,2),14247(a,1,2))]. 14253 L(x,y * K(z,y),x) = L(x,y,x). [para(5930(a,1),14249(a,1,2)),flip(a)]. 14256 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5798(a,1),14253(a,1,2))]. 14258 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(66,a,14256,a(flip),b,14250,a),flip(a)]. 14261 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(19(a,2),14251(a,2,2))]. 14262 ((R(x,x \ y,z) * K(u * R(x,x \ y,z),u)) * ((x \ y) * z)) / (y * z) = K(R(x,x \ y,z) * u,u). [para(7729(a,1),14242(a,1,1,1))]. 14263 (R(x * K(x * y,y),x \ z,u) * ((x \ z) * u)) / (z * u) = K(R(x,x \ z,u) * y,y). [para(9695(a,1),14262(a,1,1,1))]. 14264 (((x * K(x * y,y)) * (x \ z)) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(112(a,1),14263(a,1,1))]. 14265 a(((x * y) \ x) \ 1,z,((x * y) \ x) \ 1) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13173(a,1),14205(a,1,1))]. 14267 a(x \ (x * y),z,x \ (x * y)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). [para(13562(a,1),14265(a,1,1))]. 14268 a(x,y,z \ (z * x)) * K(T(y,x),1 / ((z * x) \ z)) = K(y * (1 / ((z * x) \ z)),1 / ((z * x) \ z)). [para(14(a,1),14267(a,1,1,1))]. 14269 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),1 / ((y * z) \ y)). [para(14(a,1),14268(a,1,1,3)),flip(a)]. 14270 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6404(a,1),14269(a,2,2))]. 14271 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(14(a,1),14270(a,2,2,2))]. 14272 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(5316(a,1),14271(a,2,2))]. 14273 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(285,a,12799,a(flip),b,14272,a),flip(a)]. 14274 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6548,a,14273,a)]. 14275 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(14(a,1),14274(a,1,2))]. 14276 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(66,a,6688,a(flip),b,14275,a)]. 14277 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(10230,a,14276,a)]. 14279 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(15(a,1),14277(a,2,1))]. 14280 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(66,a,11375,a(flip),b,14279,a),flip(a)]. 14282 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(66,a,6694,a(flip),b,14280,a)]. 14283 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(66,a,7320,a(flip),b,14282,a)]. 14285 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(66,a,8378,a,b,14283,a)]. 14286 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(15(a,1),14283(a,1,1,2,1)),flip(a)]. 14288 K((x / y) \ z,x / y) = K(z * (x \ y),x / y). [para(17(a,1),14285(a,1,1,2,1)),flip(a)]. 14289 T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). [para(14285(a,1),13738(a,1,1,1,2))]. 14290 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(285,a,12458,a,b,14286,a),flip(a)]. 14291 K((x / y) \ z,x / y) = K(z * (y / x),x / y). [hyper(285,a,12459,a,b,14288,a),flip(a)]. 14292 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = (x * K(u * (x / y),x \ y)) \ y. [para(14290(a,1),9409(a,2,1,2))]. 14293 K((x \ y) \ z,y / x) = K(z * (x / y),y / x). [hyper(66,a,7618,a(flip),b,14291,a)]. 14294 K(x / (y \ z),z / y) = K(x * (y / z),z / y). [hyper(66,a,8351,a,b,14293,a)]. 14295 1 / (((x / y) \ 1) \ K(z * (x / y),y / x)) = T((x / y) \ 1,(x \ y) \ z). [para(14294(a,1),10325(a,1,2,2))]. 14296 1 / (T((x / y) \ 1,z * (x / y)) \ 1) = T((x / y) \ 1,(x \ y) \ z). [para(5716(a,1),14295(a,1,2))]. 14297 T((x / y) \ 1,(x \ y) \ z) = T((x / y) \ 1,z * (x / y)). [hyper(297,a,14296,a)]. 14299 ((x / y) * T((x / y) \ 1,z * (x / y))) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(14297(a,1),10263(a,1,1,2))]. 14300 K((x / y) \ 1,z * (x / y)) \ 1 = K(z / (x \ y),(x / y) \ 1). [para(5126(a,1),14299(a,1,1))]. 14301 K(x / (y \ z),(y / z) \ 1) = K(z / y,x * (y / z)) \ 1. [para(5830(a,1),14300(a,1,1)),flip(a)]. 14302 (K(x \ y,z) * ((x \ y) \ u)) \ (K(x \ y,z) * u) = T(x \ y,u * (x / y)). [hyper(285,a,7461,a(flip),b,14292,a),flip(a)]. 14303 T(x \ y,z * (x / y)) = ((x \ y) \ z) \ z. [hyper(66,a,3637,a(flip),b,14302,a),flip(a)]. 14304 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z,u) * (x / y)). [hyper(285,a,13626,a,b,14303,a)]. 14305 ((((x \ y) \ z) \ z) * u) \ ((x \ y) * u) = K(z * (x / y),T(x \ y,u)). [para(14303(a,1),7435(a,1,1,1))]. 14306 K((x \ y) \ z,T(x \ y,u)) = K(z * (x / y),T(x \ y,u)). [hyper(66,a,7502,a(flip),b,14305,a)]. 14307 (x * K(y * (x / z),T(x \ z,u))) \ z = T(x \ z,T((x \ z) \ y,u)). [para(14306(a,1),7784(a,1,1,2))]. 14308 T(x \ y,T((x \ y) \ z,u)) = T(x \ y,T(z * (x / y),u)). [hyper(7785,a,14307,a),flip(a)]. 14309 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (x / y)). [hyper(66,a,14304,a(flip),b,14308,a),flip(a)]. 14310 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(271(a,1),14289(a,1,1,1))]. 14312 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8472(a,1),14310(a,1,1))]. 14313 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(115(a,1),14312(a,1,2,2,2))]. 14314 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9783(a,1),14313(a,1,2))]. 14315 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3604(a,1),14314(a,1,2))]. 14316 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(66,a,13610,a(flip),b,14315,a)]. 14317 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(66,a,10433,a(flip),b,14316,a)]. 14318 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(189(a,1),14317(a,1,2)),flip(a)]. 14319 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(66,a,12506,a,b,14318,a)]. 14322 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(66,a,7598,a(flip),b,14319,a)]. 14324 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(66,a,8381,a(flip),b,14322,a),flip(a)]. 14325 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(17(a,1),14322(a,1,2,2,2)),flip(a)]. 14326 K(x \ y,(x \ y) \ z) = K(x \ y,z * (y \ x)). [hyper(285,a,12461,a(flip),b,14324,a),flip(a)]. 14328 K(x / y,z * (y / x)) = K(y \ x,y / (x / z)). [hyper(66,a,13757,a(flip),b,14325,a),flip(a)]. 14329 K(x \ y,z * (y \ x)) * (x \ y) = T(x \ y,z / (x \ y)). [para(14326(a,1),5266(a,1,1))]. 14330 K(x / y,z * (x \ y)) = K(y \ x,y / (x / z)). [hyper(66,a,12492,a(flip),b,14328,a)]. 14331 K(x / (y \ z),(y / z) \ 1) = K(y \ z,y / (z / x)) \ 1. [para(14328(a,1),14301(a,2,1))]. 14332 T(x \ y,z / (x \ y)) = T(x \ y,z * (y \ x)). [hyper(5259,a,14329,a),flip(a)]. 14333 T(x \ y,z * (y \ x)) = ((x \ y) \ z) \ z. [hyper(4167,a,14332,a),flip(a)]. 14334 T(x \ y,z * (x / y)) = T(x \ y,z * (y \ x)). [hyper(285,a,14303,a,b,14333,a)]. 14335 K(T(x \ y,z * (y \ x)),u) = K(x \ y,T(u,z)). [para(14333(a,2),7687(a,1,1))]. 14336 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14309,a,b,14334,a)]. 14337 (x * T(y \ z,u * (z \ y))) / T(x,y \ z) = T(y \ z,T(u * (y / z),x)). [para(14334(a,1),8359(a,1,1,2))]. 14338 K(x / (y \ z),(y / z) \ 1) = K(y / (z / x),y \ z) * 1. [hyper(285,a,5334,a(flip),b,14331,a),flip(a)]. 14339 K(x / (y \ z),(y / z) \ 1) = K((z / x) \ y,z / y) * 1. [para(7744(a,1),14338(a,2,1))]. 14340 K(x / (y \ z),z / y) = K((z / x) \ y,z / y). [hyper(5756,a,14339,a)]. 14341 K((x / y) \ z,x / z) = K(y * (z / x),x / z). [hyper(66,a,14294,a(flip),b,14340,a),flip(a)]. 14342 K((x / y) \ z,x / z) = K(y * (x \ z),x / z). [hyper(285,a,12459,a(flip),b,14341,a),flip(a)]. 14343 T(x \ y,T(z * (x / y),u)) = T(x \ y,T(z * (y \ x),u)). [hyper(8364,a,14337,a),flip(a)]. 14345 T(x \ y,T(z * (y \ x),u)) = T(x \ y,T(z,u) * (y \ x)). [hyper(66,a,14336,a(flip),b,14343,a),flip(a)]. 14346 K(T(x \ y,T(z * (y \ x),u)),w) = K(x \ y,T(w,T(z,u))). [para(14345(a,2),14335(a,1,1))]. 14347 K(x \ y,T(z,T(u * (y \ x),w))) = K(x \ y,T(z,T(u,w))). [hyper(8426,a,14346,a)]. 14348 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = K(y,u) * L(K(u,y),z,x). [hyper(285,a,11103,a(flip),b,14108,a),flip(a)]. 14350 L(a(x * y,z,K(y,u)),(x * y) * (z * K(y,u)),K((x * y) * z,w)) = a(x,z,K(y,u)). [hyper(285,a,11108,a(flip),b,14348,a),flip(a)]. 14351 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(13168,a,14350,a)]. 14352 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(14351(a,1),11723(a,1,1,2)),flip(a)]. 14353 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(285,a,11723,a(flip),b,14352,a),flip(a)]. 14354 a(x,y,K(x * z,z)) = 1. [hyper(66,a,9105,a(flip),b,14353,a),flip(a)]. 14355 L(K(x * y,y),z,x) = K(x * y,y). [hyper(55,a,14354,a)]. 14356 x * (y * K(x * z,T(z,x * y))) = K(x * z,z) * (x * y). [para(14355(a,1),7707(a,2,1))]. 14357 x * (y * K(x * z,T(z,y))) = K(x * z,z) * (x * y). [para(10145(a,1),14356(a,1,2,2))]. 14358 K(x * y,y) * (x * z) = x * (K(x * y,y) * z). [para(7682(a,1),14357(a,1,2)),flip(a)]. 14359 x * (K(x * y,y) * (x \ z)) = K(x * y,y) * z. [hyper(303,a,14358,a),flip(a)]. 14360 x * (K(x * y,y) * (K(y,x) * z)) = a(y,x,y) * (x * z). [hyper(66,a,12884,a(flip),b,14358,a),flip(a)]. 14361 a(x,y,x) * (y * z) = y * (a(x,y,x) * z). [para(12861(a,1),14360(a,1,2)),flip(a)]. 14362 x * (a(y,x,y) * (x \ z)) = a(y,x,y) * z. [hyper(303,a,14361,a),flip(a)]. 14363 (x * a(y,x,y)) * z = x * (a(y,x,y) * z). [hyper(66,a,14068,a,b,14361,a)]. 14364 L(x,a(y,z,y),z) = x. [hyper(445,a,14363,a)]. 14365 ((x * (a(y,x,y) * z)) * u) / ((x * z) * u) = a(y,R(x,z,u),y). [para(14363(a,1),14110(a,1,1,1))]. 14366 L(x,K(y,z),z \ y) = x. [hyper(13513,a,14364,a)]. 14367 L(x,K(y,z),y / z) = x. [hyper(10026,a,14366,a)]. 14370 L(x,K(y * z,z),y) = x. [para(16(a,1),14367(a,1,3))]. 14371 (x * K(x * y,y)) * z = x * (K(x * y,y) * z). [hyper(1176,a,14370,a),flip(a)]. 14372 ((x * (K(x * y,y) * (x \ z))) * u) / (z * u) = K(R(x,x \ z,u) * y,y). [para(14371(a,1),14264(a,1,1,1))]. 14373 ((x * (a(y,x,y) * (x \ z))) * u) / (z * u) = a(y,R(x,x \ z,u),y). [para(15(a,1),14365(a,1,2,1))]. 14374 a(x,R(y,y \ z,u),x) = ((a(x,y,x) * z) * u) / (z * u). [para(14362(a,1),14373(a,1,1,1)),flip(a)]. 14375 a(x,R(y,y \ z,u),x) = R(a(x,y,x),z,u). [hyper(285,a,25,a,b,14374,a),flip(a)]. 14376 R(a(x,y,x),y * z,u) = a(x,R(y,z,u),x). [para(14(a,1),14375(a,1,2,2)),flip(a)]. 14377 a(x,R(y,z,u),x) = a(x,y,x). [hyper(66,a,14047,a(flip),b,14376,a),flip(a)]. 14379 a(x,y \ R(y,z,u),x) = a(x,a(y,z,u),x). [hyper(66,a,14243,a(flip),b,14377,a),flip(a)]. 14380 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(14377(a,1),13072(a,1,1)),flip(a)]. 14381 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(14377(a,1),14211(a,2,2,1))]. 14383 a(x,(y * K(z,y)) \ (((z * y) * u) / (z * u)),x) = a(x,a(y * K(z,y),z,u),x). [para(5379(a,1),14379(a,1,2,2))]. 14384 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(285,a,13072,a(flip),b,14380,a),flip(a)]. 14385 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(14384(a,1),12188(a,1,2))]. 14386 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(285,a,12874,a(flip),b,14381,a),flip(a)]. 14388 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(66,a,14258,a(flip),b,14386,a)]. 14390 L(x,R(y,z,u),x) = L(x,y,x). [para(14(a,1),14388(a,2,2))]. 14393 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(66,a,14261,a(flip),b,14390,a),flip(a)]. 14395 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(727(a,1),14385(a,1,2)),flip(a)]. 14397 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(14395(a,1),5123(a,2,2)),flip(a)]. 14398 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(66,a,12149,a(flip),b,14397,a)]. 14399 K(R(x,x \ y,z) * u,u) = ((K(x * u,u) * y) * z) / (y * z). [para(14359(a,1),14372(a,1,1,1)),flip(a)]. 14400 K(R(x,x \ y,z) * u,u) = R(K(x * u,u),y,z). [hyper(285,a,25,a,b,14399,a),flip(a)]. 14401 K(x * R(y,y \ z,u),x) = R(K(y * x,x),z,u). [hyper(5786,a,14400,a)]. 14402 K(x * R(y,y \ z,u),x) = R(K(x * y,x),z,u). [para(5785(a,1),14401(a,2,1))]. 14403 K(x * ((y * z) / ((u \ y) * z)),x) = R(K(x * u,x),y,z). [para(110(a,1),14402(a,1,1,2))]. 14404 K(x * ((y * z) / ((T(u,u \ 1) * y) * z)),x) = R(K(x * R(u \ 1,u,y),x),y,z). [para(3061(a,1),14403(a,1,1,2,2,1))]. 14405 a(x,a(y * K(z,y),z,u),x) = a(x,y \ R(y,z,u),x). [para(13418(a,1),14383(a,1,2)),flip(a)]. 14406 a(x,a(y * K(z,y),z,u),x) = a(x,a(y,z,u),x). [hyper(285,a,14379,a(flip),b,14405,a),flip(a)]. 14407 a(x,a(y,T(z,y),u),x) = a(x,a(y,z,u),x). [para(5404(a,1),14406(a,1,2))]. 14408 L(a(x,L(y,z,u) \ y,x),y,z * u) = a(x,a(u,z,y),x). [hyper(66,a,14244,a,b,14407,a)]. 14409 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(T(y,y \ 1),z,u) \ x,x). [hyper(66,a,14188,a(flip),b,14404,a),flip(a)]. 14410 R(K(x * R(y \ 1,y,z),x),z,u) = K(R(y,z,u) \ x,x). [hyper(285,a,6714,a(flip),b,14409,a),flip(a)]. 14411 R(K(x \ y,y),z,u) = K(R(x,z,u) \ y,y). [para(14223(a,1),14410(a,1,1))]. 14412 x / (x / K(R(y,z,u) \ w,w)) = R(K(y \ w,T(w,x)),z,u). [para(14411(a,1),13090(a,1,2,2))]. 14415 R(K(x \ y,T(y,z)),u,w) = K(R(x,u,w) \ y,T(y,z)). [hyper(66,a,7989,a(flip),b,14412,a),flip(a)]. 14416 (x * K(R(y,z,u) \ w,T(w,v5))) \ x = R(K(T(w,v5),y \ w),z,u). [para(14415(a,1),7531(a,1,1,2))]. 14417 R(K(T(x,y),z \ x),u,w) = K(x,T(R(z,u,w) \ x,y)). [hyper(7783,a,14416,a),flip(a)]. 14418 R(K(x,T(y \ x,z)),u,w) = K(x,T(R(y,u,w) \ x,z)). [para(7761(a,1),14417(a,1,1))]. 14419 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,T(y \ x,K(R(y,z,u),w))),z,u). [hyper(285,a,8988,a,b,14418,a)]. 14420 K(x,K(x,T(R(y,z,u),w))) * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(12481(a,1),14419(a,2,1))]. 14421 1 * K(x,x / R(y,z,u)) = R(K(x,y \ x),z,u). [para(3352(a,1),14420(a,1,1))]. 14424 1 * K(x,R(y,z,u) \ x) = R(K(x,y \ x),z,u). [para(6424(a,1),14421(a,1,2))]. 14425 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [hyper(125,a,14424,a),flip(a)]. 14426 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(6428(a,1),14425(a,1,1)),flip(a)]. 14427 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(13084(a,1),14425(a,1,1))]. 14428 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(14426(a,1),14427(a,1,1)),flip(a)]. 14429 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(66,a,14213,a(flip),b,14428,a),flip(a)]. 14430 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4413(a,1),14429(a,1,1))]. 14433 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(14430(a,1),9790(a,1,1,1,2))]. 14438 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,w,x)) = R(K(x,y),z,u). [hyper(12033,a,14433,a)]. 14439 K(x,R(y,z,u)) * 1 = R(K(x,y),z,u). [para(79(a,1),14438(a,1,2))]. 14440 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(133,a,14439,a),flip(a)]. 14443 R(K(x,y),z,(K(x,u) * z) \ 1) = K(x,L(y,z,z \ 1)). [hyper(285,a,13729,a(flip),b,14440,a),flip(a)]. 14446 K(K(x,y) * K(y,R(x,z,u)),K(y,x) * (z * u)) = K(a(K(y,x),z,u),((z * u) \ K(x,y)) \ 1). [para(14440(a,1),14010(a,1,1,2))]. 14449 x / (K(y,L(z,u,u \ 1)) * x) = u * ((K(y,z) * u) \ 1). [para(14443(a,1),6184(a,1,2,1))]. 14450 x * ((K(y,z) * x) \ 1) = K(L(z,x,x \ 1),y). [hyper(5454,a,14449,a),flip(a)]. 14452 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,R(y,z,u)) * K(y,x)). [hyper(66,a,12013,a(flip),b,14446,a),flip(a)]. 14453 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). [hyper(285,a,12267,a(flip),b,14452,a),flip(a)]. 14454 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(285,a,13392,a(flip),b,14453,a),flip(a)]. 14455 K(a(K(x,y),z,u),K(y,x) \ (z * u)) = 1. [hyper(6423,a,14454,a)]. 14457 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [para(5334(a,1),14455(a,1,2))]. 14458 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(14457(a,1),5310(a,1,1))]. 14459 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(13408(a,1),14458(a,1,2))]. 14460 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(125,a,14459,a)]. 14461 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7907(a,1),14459(a,1,2,1))]. 14462 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5452,a,14460,a)]. 14463 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6090(a,1),14460(a,1,2))]. 14465 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9018(a,1),14460(a,1,2))]. 14466 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(14460(a,1),10949(a,2,2))]. 14467 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(14460(a,1),11784(a,1,1,2))]. 14468 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(14460(a,1),11994(a,2,2))]. 14469 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(14460(a,1),12293(a,1,3))]. 14471 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(14469(a,1),265(a,1,2))]. 14472 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = R(K(x,T(y,z)),u,w) * (z * K(y,x)). [para(14462(a,1),10031(a,1,1)),flip(a)]. 14473 T(x,R(y,z,u)) * K(y,x) = x * a(K(x,y),z * y,u). [para(14465(a,1),5522(a,1,2)),flip(a)]. 14474 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(14465(a,1),14398(a,1,1))]. 14475 (x * K(y,z)) \ ((x * R(x \ (x * K(y,z)),u,w)) * y) = y * a(K(y,z),u,w). [hyper(66,a,11593,a,b,14466,a)]. 14476 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(66,a,8501,a,b,14466,a)]. 14477 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(14460(a,1),14467(a,1,2))]. 14479 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(122,a,117,a(flip),b,14477,a)]. 14480 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z * y,u). [hyper(7721,a,14473,a)]. 14481 T(x * K(y,x),R(y,z,u)) != x * w | a(K(x,y),z * y,u) = w. [para(14480(a,2),46(a,1))]. 14482 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(285,a,14132,a(flip),b,14463,a),flip(a)]. 14483 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). [hyper(66,a,12051,a(flip),b,14463,a)]. 14484 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(10157(a,1),14461(a,1,2,2))]. 14485 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12025(a,1),14484(a,1,2))]. 14486 (x * K(y,z)) \ ((x * R(K(y,z),u,w)) * y) = y * a(K(y,z),u,w). [para(14(a,1),14475(a,1,2,1,2,1))]. 14488 (x * K(y,z)) \ (x * (y * R(K(y,z),u,w))) = y * a(K(y,z),u,w). [para(6682(a,1),14486(a,1,2))]. 14489 (x / ((y * z) / y)) \ ((x / z) * (z * R(K(z,y),u,w))) = z * a(K(z,y),u,w). [para(6529(a,2),14488(a,1,1))]. 14490 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(285,a,14137,a(flip),b,14483,a),flip(a)]. 14491 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(14482(a,1),14490(a,1,1)),flip(a)]. 14492 (x / ((y * z) / y)) \ (x * R(K(z,y),u,w)) = z * a(K(z,y),u,w). [para(6547(a,1),14489(a,1,2))]. 14493 (x / ((y * z) / y)) \ (x * K(z,R(y,u,w))) = z * a(K(z,y),u,w). [para(14440(a,1),14492(a,1,2,2))]. 14494 K(x,y) * T(y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(8829,a,14493,a)]. 14495 T(K(x,y) * y,R(x,z,u)) = y * a(K(y,x),z,u). [hyper(66,a,9832,a,b,14494,a)]. 14496 T(x * K(y,x),R(y,z,u)) = x * a(K(x,y),z,u). [para(3186(a,1),14495(a,1,1))]. 14497 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(14481,a,14496,a)]. 14498 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(285,a,14476,a(flip),b,14472,a),flip(a)]. 14499 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(14471,a,14498,a)]. 14500 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5360(a,1),14499(a,1,2))]. 14501 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(7991(a,1),14500(a,1,1,1)),flip(a)]. 14502 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(225,a,14501,a),flip(a)]. 14503 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(285,a,14474,a(flip),b,14502,a)]. 14504 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(168(a,1),14503(a,2,1,2))]. 14505 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(66,a,4413,a,b,14504,a)]. 14506 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(17(a,1),14504(a,1,1))]. 14507 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(66,a,9676,a(flip),b,14506,a)]. 14508 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(66,a,13824,a(flip),b,14507,a)]. 14509 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(5323(a,1),14508(a,2,1))]. 14510 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(285,a,14126,a(flip),b,14509,a),flip(a)]. 14511 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(66,a,9232,a(flip),b,14510,a)]. 14512 ((x * (y \ R(y,z,u))) / ((x * (y \ R(y,z,u))) / x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [hyper(66,a,6675,a(flip),b,14510,a)]. 14513 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(14504(a,1),14505(a,1,1))]. 14514 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14491,a,b,14513,a)]. 14515 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(66,a,14142,a(flip),b,14514,a)]. 14516 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(14154(a,1),14511(a,1,1))]. 14517 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(14(a,1),14516(a,1,2))]. 14518 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(5223,a,14517,a),flip(a)]. 14520 (x * K(y \ R(y,z,u),x)) \ L(x,x \ (x * (y \ R(y,z,u))),x) = a(K(x,y),z * y,u). [para(5075(a,1),14512(a,1,1))]. 14521 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [para(14(a,1),14520(a,1,2,2))]. 14523 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(14393(a,1),14521(a,1,2))]. 14524 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(66,a,5738,a(flip),b,14523,a)]. 14525 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(14518(a,2),14524(a,1,1))]. 14526 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(13540,a,14525,a)]. 14527 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) * K(x * (L(z,u,w) \ y),y \ L(z,u,w))) / y,z). [para(6420(a,1),12467(a,2,1,1))]. 14528 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K((L(z,u,w) / y) * K(x * (L(z,u,w) \ y),L(z,u,w) / y),z). [para(6422(a,1),14527(a,2,1))]. 14529 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x * (L(z,u,w) \ y))). [hyper(285,a,8027,a(flip),b,14528,a),flip(a)]. 14530 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(L(z,u,w) / y,T(z,x)). [hyper(285,a,11565,a(flip),b,14529,a),flip(a)]. 14531 K(((x * (y / L(z,u,w))) * (1 / (y / L(z,u,w)))) / (x * (y / L(z,u,w))),z) = K(y \ L(z,u,w),T(z,x)). [hyper(285,a,7745,a(flip),b,14530,a),flip(a)]. 14532 K(K(x * (y / L(z,u,w)),(y / L(z,u,w)) \ 1) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5696(a,2),14531(a,1,1))]. 14533 K(K(x * (y / L(z,u,w)),L(z,u,w) / y) / (y / L(z,u,w)),z) = K(y \ L(z,u,w),T(z,x)). [para(5708(a,1),14532(a,1,1,1))]. 14534 K(K(x * (L(y,z,u) \ w),L(y,z,u) / w) / (w / L(y,z,u)),y) = K(w \ L(y,z,u),T(y,x)). [para(12459(a,1),14533(a,1,1,1))]. 14535 K((x / K(y * (L(z,u,w) \ x),L(z,u,w) / x)) \ L(z,u,w),z) = K(x \ L(z,u,w),T(z,y)). [hyper(66,a,13455,a(flip),b,14534,a)]. 14536 K((x * K(L(y,z,u) / x,w * (L(y,z,u) \ x))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(7396(a,1),14535(a,1,1,1))]. 14537 K((x * K(x \ L(y,z,u),x / (L(y,z,u) / w))) \ L(y,z,u),y) = K(x \ L(y,z,u),T(y,w)). [para(14330(a,1),14536(a,1,1,1,2))]. 14538 K((x \ L(y,z,u)) * K(x / (L(y,z,u) / w),x \ L(y,z,u)),y) = K(x \ L(y,z,u),T(y,w)). [para(6453(a,1),14537(a,1,1))]. 14539 K((x \ L(y,z,u)) * K((L(y,z,u) / w) \ x,L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(7744(a,1),14538(a,1,1,2))]. 14540 K((x \ L(y,z,u)) * K(w * (L(y,z,u) \ x),L(y,z,u) / x),y) = K(x \ L(y,z,u),T(y,w)). [para(14342(a,1),14539(a,1,1,2))]. 14541 K(x \ L(y,z,u),T(y,T(w * (L(y,z,u) \ x),x))) = K(x \ L(y,z,u),T(y,w)). [hyper(11011,a,14540,a)]. 14542 K(x \ L(y,z,u),T(y,T(w,x))) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,14347,a(flip),b,14541,a)]. 14543 K(x \ L(y,z,u),T(y,w * x)) = K(x \ L(y,z,u),T(y,w)). [hyper(66,a,10521,a(flip),b,14542,a)]. 14544 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * (y * (y \ L(T(z,x * y),u,w)))) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,12701,a,b,14543,a)]. 14545 (x * (y * T(y \ L(T(z,x * y),u,w),z))) / (x * L(T(z,x * y),u,w)) = K(y \ L(z,u,w),T(z,x)). [para(15(a,1),14544(a,1,2,2))]. 14546 K((x * L(T(y,x * z),u,w)) / (x * z),y) = K(z \ L(y,u,w),T(y,x)). [hyper(10994,a,14545,a)]. 14548 K(((x * y) / x) \ L(z,u,w),z) = K(y \ L(z,u,w),T(z,x)). [hyper(66,a,13458,a(flip),b,14546,a)]. 14549 K(L(x,y,z) * (u \ K(u,w)),x) = K(u \ L(x,y,z),T(x,w)). [hyper(66,a,13446,a(flip),b,14548,a)]. 14550 K(x \ L(y,z,u),T(y,w)) = K(y * (x \ K(x,w)),y). [hyper(66,a,13953,a(flip),b,14549,a),flip(a)]. 14552 K(x \ L(y,z,u),T(y,w)) = K(x \ y,T(y,w)). [hyper(285,a,12110,a(flip),b,14550,a),flip(a)]. 14553 K((x / y) \ z,T(z,y)) = K(x \ (L(z,u,w) * y),z). [hyper(13465,a,14552,a),flip(a)]. 14555 K(x \ (L(y,z,u) * w),y) = K(y * (x \ w),y). [hyper(66,a,13793,a(flip),b,14553,a),flip(a)]. 14556 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [hyper(11095,a,14555,a)]. 14558 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(66,a,9347,a(flip),b,14556,a)]. 14559 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(285,a,13800,a(flip),b,14558,a),flip(a)]. 14560 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(66,a,13854,a(flip),b,14559,a)]. 14561 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(23(a,2),14560(a,2,1))]. 14562 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(13963,a,14561,a),flip(a)]. 14563 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(66,a,8727,a(flip),b,14562,a)]. 14564 K(x,L((y \ 1) \ z,y \ 1,y)) = y * (T(z / (y \ 1),x) \ z). [hyper(7671,a,14563,a),flip(a)]. 14565 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [hyper(285,a,13730,a(flip),b,14563,a),flip(a)]. 14566 T(x,y) * ((x \ y) * K(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(14563(a,1),13050(a,1,2,2))]. 14567 T(x * y,x) / T(x * (K(x,L(z,u,w)) * y),x) = L(K(z,x),u,w). [para(14563(a,1),13895(a,1,2,1,2,1))]. 14568 K(x,(y * z) * (z \ 1)) = L(K(x,y),z,z \ 1). [para(16(a,1),14565(a,1,1,2)),flip(a)]. 14569 K(x \ 1,(x \ 1) * (y * x)) = L(K(x \ 1,y),x,x \ 1). [hyper(13835,a,14568,a)]. 14570 K(x \ 1,(x \ 1) * (y * x)) = K(x \ 1,y). [hyper(285,a,9097,a(flip),b,14569,a),flip(a)]. 14573 T(x,y) * (x \ T(y,L(x,z,u))) = y * a(u,z,K(x,y)). [para(11406(a,1),14566(a,1,2))]. 14574 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(x,y)). [hyper(5576,a,14573,a)]. 14575 x * (T(y / (x \ 1),z) \ y) = K(z,x * y). [para(452(a,1),14564(a,1,2)),flip(a)]. 14576 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(1 / x) * y))). [para(14575(a,1),2732(a,1,2,2,2)),flip(a)]. 14577 T(x * y,x) / T(T(x,L(z,u,w)) * y,x) = L(K(z,x),u,w). [para(5152(a,1),14567(a,1,2,1))]. 14578 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(66,a,9335,a(flip),b,14577,a),flip(a)]. 14579 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(66,a,14563,a(flip),b,14578,a),flip(a)]. 14580 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(14578(a,1),11108(a,1,2))]. 14582 x \ K(y,L(z,x,x \ 1)) = (K(z,y) * x) \ 1. [hyper(122,a,14579,a(flip),b,14450,a)]. 14583 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(452(a,1),14579(a,1,1)),flip(a)]. 14584 K(x,y) * (x \ K(z,L(x,u,w))) = T(x,L(z,u,w)) \ K(x,y). [para(14579(a,1),5848(a,1,2,2))]. 14585 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(11133,a,14580,a)]. 14586 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(14585(a,1),11159(a,2,2))]. 14587 K(x,((K(y,x) * (z \ 1)) \ 1) \ u) = K(x,z \ u). [para(14582(a,1),9638(a,1,2,1))]. 14588 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(452(a,1),14583(a,1,2))]. 14589 K(x,(((y \ 1) * K(z,x)) \ 1) \ u) = K(x,y \ u). [para(8035(a,1),14587(a,1,2,1,1))]. 14590 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(15(a,1),14588(a,1,2)),flip(a)]. 14591 K(x,((y * K(z,x)) \ 1) \ u) = K(x,(y \ 1) \ u). [hyper(66,a,7194,a(flip),b,14589,a)]. 14592 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(15(a,1),14590(a,1,1)),flip(a)]. 14593 K(x,((T(y,x) / z) \ 1) \ u) = K(x,((y / z) \ 1) \ u). [para(1283(a,1),14591(a,1,2,1,1))]. 14594 K(((x \ 1) \ 1) \ ((x \ 1) \ y),z) = K(y,((1 / x) \ 1) \ ((x \ 1) \ z)). [hyper(285,a,7181,a,b,14592,a),flip(a)]. 14595 T(x,y) / T(x / T(y,x),L(y,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [para(4120(a,1),14586(a,1,2,1))]. 14596 (T(x,y) / z) \ x = z * K(y,((x / z) \ 1) \ z). [hyper(124,a,14593,a(flip),b,10505,a(flip)),flip(a)]. 14597 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = (K(x,y) \ 1) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(14584(a,1),11292(a,1,2,2)),flip(a)]. 14598 K(x,((1 / y) \ 1) \ ((y \ 1) \ z)) = K(y \ ((y \ 1) \ x),z). [hyper(66,a,6691,a(flip),b,14594,a),flip(a)]. 14599 K(x \ ((x \ 1) \ y),z) = K(y,x \ ((x \ 1) \ z)). [para(90(a,1),14598(a,1,2,1)),flip(a)]. 14600 T(x,y) / (y \ T(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [para(14098(a,1),14595(a,1,2))]. 14601 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ (1 / (1 / K(z,(x \ 1) * y))). [para(7147(a,1),14576(a,2,2,2,2))]. 14602 x * (1 / (1 / (x \ (T(y / ((1 / x) \ 1),z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(2515(a,1),14601(a,2,2))]. 14603 x * (1 / (1 / (x \ (T(y / x,z) \ y)))) = (1 / x) \ K(z,(x \ 1) * y). [para(90(a,1),14602(a,1,2,2,2,2,1,1,2))]. 14604 (1 / x) \ K(y,(x \ 1) * z) = x * (1 / (1 / K(y,x \ z))). [para(7662(a,1),14603(a,1,2,2,2)),flip(a)]. 14605 (1 / x) \ K(y,(x \ 1) * z) = x * K(y,x \ z). [para(2515(a,1),14604(a,2,2))]. 14606 x * K(y,x \ ((x \ 1) \ z)) = (1 / x) \ K(y,z). [para(15(a,1),14605(a,1,2,2)),flip(a)]. 14607 K(x,y \ ((y \ 1) \ z)) = y \ ((1 / y) \ K(x,z)). [hyper(128,a,14606,a),flip(a)]. 14608 K(x \ ((x \ 1) \ y),z) = ((1 / x) \ K(z,y)) \ x. [para(14606(a,1),7399(a,1,1)),flip(a)]. 14609 K(x,y \ ((y \ 1) \ z)) = ((1 / y) \ K(z,x)) \ y. [hyper(66,a,14599,a(flip),b,14608,a)]. 14610 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / ((K(x,y) \ 1) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14597(a,2,1))]. 14611 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (K(y,x) * (T(x,L(z,u,w)) \ K(x,y))). [para(5320(a,1),14610(a,2,2,1))]. 14612 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) / (T(x,L(z,u,w)) \ 1). [para(10258(a,1),14611(a,2,2))]. 14613 (1 / K(x,y)) / L(x \ K(z,L(x,u,w)),K(x,y),K(x,y) \ 1) = K(y,x) * T(x,L(z,u,w)). [hyper(285,a,4398,a(flip),b,14612,a),flip(a)]. 14615 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(y,x) \ 1) = K(x,y) * T(y,L(z,u,w)). [para(5344(a,1),14613(a,1,1))]. 14616 K(x,y) / L(y \ K(z,L(y,u,w)),K(y,x),K(x,y)) = K(x,y) * T(y,L(z,u,w)). [para(5320(a,1),14615(a,1,2,3))]. 14617 K(x,y) / (y \ K(z,L(y,u,w))) = K(x,y) * T(y,L(z,u,w)). [para(5333(a,1),14616(a,1,2))]. 14620 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (a(z,u,z) * (K(z,z * u) * y)) \ (K(z,u) * (y * x)). [para(13505(a,1),12797(a,2,1,1))]. 14621 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = (K(z,u) * y) \ (K(z,u) * (y * x)). [para(12856(a,1),14620(a,2,1))]. 14624 L(L(x,y,K(z,z * u)),K(z,z * u) * y,R(a(z,u,z),K(z,z * u),y * x)) = L(x,y,K(z,u)). [hyper(285,a,23,a,b,14621,a),flip(a)]. 14625 L(L(x,y,K(z,z * u)),K(z,z * u) * y,a(z,u,z)) = L(x,y,K(z,u)). [para(13505(a,1),14624(a,1,3))]. 14626 L(L(x,y,K(z,u)),K(z,z * (z \ u)) * y,a(z,z \ u,z)) = L(x,y,K(z,z \ u)). [para(15(a,1),14625(a,1,1,3,2))]. 14629 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [hyper(14056,a,14626,a),flip(a)]. 14631 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5339(a,1),14629(a,1,3)),flip(a)]. 14632 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(285,a,14165,a(flip),b,14631,a),flip(a)]. 14633 L(x,y \ 1,K(y,z)) = x. [hyper(13167,a,14632,a),flip(a)]. 14634 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [para(14633(a,1),5632(a,1,2)),flip(a)]. 14635 (T(x,y) * (1 / x)) * (T(x \ 1,x) * z) = (x \ K(x,y)) * z. [hyper(66,a,6146,a,b,14634,a)]. 14636 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ K(x \ y,y \ x)) * y,z). [para(14635(a,1),12354(a,1,1)),flip(a)]. 14637 K(x,(T((x \ y) \ 1,x \ y) * y) / (T((x \ y) \ 1,x \ y) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(285,a,6733,a(flip),b,14636,a),flip(a)]. 14639 K(x,(T((x \ y) \ 1,x \ y) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7187,a(flip),b,14637,a)]. 14640 K(x,(((x \ y) \ 1) * y) / (((x \ y) \ 1) * (z \ y))) = K(((x \ y) \ 1) * y,z). [hyper(66,a,7178,a(flip),b,14639,a)]. 14641 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = K(((x \ y) \ 1) * y,z). [hyper(66,a,11838,a(flip),b,14640,a)]. 14643 ((L(x,y \ 1,y) / y) \ (x * K((y \ 1) \ 1,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4722(a,1),6178(a,1,1,1))]. 14644 ((L(x,y \ 1,y) / y) \ (x * K(y,(y \ 1) * x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(3341(a,1),14643(a,1,1,2,2))]. 14645 ((L(x,y \ 1,y) / y) \ (x * K(y,y \ x))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(4664(a,1),14644(a,1,1,2,2))]. 14646 ((L(x,y \ 1,y) / y) \ (y * (x / y))) * T((y \ 1) * (x * K((y \ 1) \ 1,(y \ 1) * x)),y) = x * K((y \ 1) \ 1,(y \ 1) * x). [para(5435(a,1),14645(a,1,1,2))]. 14647 (L(x,y \ 1,y) / y) \ (y * (x / y)) = ((y \ 1) * x) \ x. [hyper(38,a,11381,a,b,14646,a),flip(a)]. 14649 (x * (y / x)) / (((x \ 1) * y) \ y) = L(y,x \ 1,x) / x. [hyper(185,a,14647,a)]. 14651 L(x,y \ 1,y) / y = x / R(y,y \ 1,x). [hyper(66,a,7601,a(flip),b,14649,a),flip(a)]. 14652 (x / R(y,y \ 1,x)) * y = L(x,y \ 1,y). [hyper(136,a,14651,a)]. 14653 L(x,y \ 1,y) \ (x * y) = R(y,y \ 1,x). [para(14652(a,1),1617(a,1,1))]. 14654 x * (L(x,y \ 1,y) \ y) = R(y,y \ 1,x). [hyper(66,a,1245,a(flip),b,14653,a)]. 14655 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,z / (L(x,y \ 1,y) \ y)). [para(14654(a,1),10860(a,1,2,1,1))]. 14656 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ L(x,y \ 1,y)). [hyper(285,a,13468,a(flip),b,14655,a),flip(a)]. 14657 K(x,(R(y,y \ 1,x) / z) \ x) = K(x,(y / z) \ x). [hyper(285,a,11835,a(flip),b,14656,a),flip(a)]. 14659 K(x,y / (((z \ 1) * x) \ 1)) = K(x,(z / y) \ x). [hyper(66,a,12730,a(flip),b,14657,a)]. 14660 K(x,y / ((z * x) \ 1)) = K(x,((z \ 1) / y) \ x). [hyper(66,a,7201,a(flip),b,14659,a)]. 14661 R(K(x,((y \ 1) / (z / u)) \ x),z / u,u) = K(x,z / (((y * x) \ 1) * u)). [para(14660(a,1),6101(a,1,1))]. 14662 K(x,y / (((z * x) \ 1) * u)) = K(x,y / ((x \ (z \ 1)) * u)). [hyper(66,a,10861,a(flip),b,14661,a),flip(a)]. 14663 K(x,K(x,x \ y) / ((x \ ((x \ y) \ 1)) * (z \ y))) = (1 / y) * (K(x,z) * y). [hyper(66,a,13996,a(flip),b,14662,a),flip(a)]. 14664 K(x,((x \ ((x \ y) \ 1)) * (z \ y)) \ 1) = (1 / y) * (K(x,z) * y). [hyper(66,a,8157,a(flip),b,14663,a)]. 14666 K(x,(((x \ y) \ 1) * (z \ y)) \ x) = (1 / y) * (K(x,z) * y). [hyper(66,a,13260,a(flip),b,14664,a)]. 14667 K(((x \ y) \ 1) * y,z) = (1 / y) * (K(x,z) * y). [hyper(66,a,14641,a(flip),b,14666,a)]. 14668 K(((x \ (y * x)) \ 1) * (y * x),z) = K((((x * y) \ 1) * y) \ 1,z). [hyper(285,a,13858,a(flip),b,14667,a),flip(a)]. 14669 K((((x * y) \ 1) * y) \ 1,z) = K((y \ 1) * (x * y),z). [para(6993(a,1),14668(a,1,1)),flip(a)]. 14670 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * ((y \ x) * y),z). [hyper(66,a,13868,a(flip),b,14669,a)]. 14671 K(((x \ 1) * y) \ 1,T(z,y)) = K(T((y \ 1) * x,y),z). [para(2179(a,1),14670(a,2,1))]. 14672 K(((x \ 1) * y) \ 1,T(z,y)) = K((y \ 1) * x,T(z,y)). [hyper(285,a,7761,a(flip),b,14671,a),flip(a)]. 14673 K((x \ 1) * y,T(T(z,y),x)) = K(((y \ 1) * x) \ 1,z). [hyper(66,a,10450,a(flip),b,14672,a),flip(a)]. 14674 K(((x \ 1) * y) \ 1,z) = K((y \ 1) * x,z). [hyper(10965,a,14673,a),flip(a)]. 14676 K((x \ 1) * (y \ 1),z) = K((y * x) \ 1,z). [hyper(66,a,6707,a(flip),b,14674,a),flip(a)]. 14677 T(x,y) / ((1 / z) \ x) = K((z \ 1) * ((z \ 1) \ x),y) / z. [para(14674(a,1),6907(a,2,1))]. 14678 K((x * (y \ 1)) \ 1,z) = K(y * (x \ 1),z). [hyper(66,a,6689,a(flip),b,14676,a),flip(a)]. 14679 K(x * (((x \ y) \ 1) \ 1),z) / (x \ T(y,z)) = 1 / (x \ y). [para(14678(a,1),6971(a,1,1))]. 14680 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(15(a,1),14677(a,2,1,1))]. 14681 (1 / (x \ K(y,z))) \ y = x \ T(y,z). [hyper(39,a,172,a,b,14680,a),flip(a)]. 14682 K(x,y) / (z \ K(x,u)) = T(x,y) / (z \ T(x,u)). [para(14681(a,1),14680(a,1,2)),flip(a)]. 14683 K(x,y) / (y \ K(x,L(y,z,u))) = y * a(u,z,K(y \ T(x,y),y)). [hyper(285,a,14600,a(flip),b,14682,a),flip(a)]. 14684 K(x,y) / (z \ T(x,y)) = 1 / (z \ x). [para(6709(a,1),14679(a,1,1))]. 14685 (1 / (x \ y)) \ K(y,z) = x \ T(y,z). [hyper(180,a,14684,a)]. 14687 (1 / x) \ K(y,z) = (y / x) \ T(y,z). [para(90(a,1),14685(a,1,1,2))]. 14688 K(x,((y / z) \ 1) \ z) = ((1 / z) \ K(y,x)) \ z. [para(14687(a,2),7522(a,2,1))]. 14689 ((1 / x) \ K(y * x,z)) \ x = K(z,(y \ 1) \ x). [para(16(a,1),14688(a,1,2,1,1)),flip(a)]. 14690 K(x,y \ ((y \ 1) \ (z * y))) = K(x,(z \ 1) \ y). [hyper(66,a,14609,a,b,14689,a)]. 14691 (1 / x) \ K(y,z * x) = x * K(y,(z \ 1) \ x). [hyper(124,a,14690,a(flip),b,14607,a(flip)),flip(a)]. 14692 x * K(y,((z / x) \ 1) \ x) = (1 / x) \ K(y,z). [para(17(a,1),14691(a,1,2,2)),flip(a)]. 14693 (T(x,y) / z) \ x = (1 / z) \ K(y,x). [hyper(66,a,14596,a,b,14692,a)]. 14694 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [para(87(a,1),14693(a,1,1)),flip(a)]. 14696 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,L(L(x,z,u),w,v5) / y). [para(14694(a,2),7801(a,2,2)),flip(a)]. 14697 K(x,y) * T(y,L(x,z,u)) = y * a(u,z,K(y \ T(x,y),y)). [hyper(66,a,14617,a(flip),b,14683,a)]. 14698 x * a(y,z,K(x \ T(u,x),x)) = x * a(y,z,K(u,x)). [hyper(66,a,14574,a(flip),b,14697,a),flip(a)]. 14699 x * a(y,z,K(x \ u,x)) = x * a(y,z,K(u,x)). [para(4558(a,1),14698(a,1,2,3))]. 14700 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(259,a,14699,a),flip(a)]. 14702 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(14(a,1),14700(a,1,3,1)),flip(a)]. 14703 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(6484(a,1),14700(a,1,3))]. 14704 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(13616(a,2),14700(a,1,3))]. 14705 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(14702(a,2),11359(a,1,1))]. 14706 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(11360,a,14705,a)]. 14707 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(66,a,14703,a,b,14706,a)]. 14708 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(14570(a,1),14706(a,1,3)),flip(a)]. 14709 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(66,a,14707,a(flip),b,14708,a),flip(a)]. 14710 K(x,(1 / (y \ T(L(L(x,z,u),w,v5),v6))) \ K(v6,L(L(x,z,u),w,v5))) = K(x,y \ L(L(x,z,u),w,v5)). [hyper(285,a,7801,a(flip),b,14696,a),flip(a)]. 14711 K(x,(1 / (y \ L(T(L(x,z,u),w),v5,v6))) \ K(w,L(L(x,z,u),v5,v6))) = K(x,y \ L(L(x,z,u),v5,v6)). [para(30(a,2),14710(a,1,2,1,2,2))]. 14712 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ K(z,L(L(x,u,w),v5,v6))) = K(x,y \ L(L(x,u,w),v5,v6)). [para(30(a,2),14711(a,1,2,1,2,2,1))]. 14713 K(x,(1 / (y \ L(L(T(x,z),u,w),v5,v6))) \ 1) = K(x,y \ L(L(x,u,w),v5,v6)). [hyper(66,a,10359,a(flip),b,14712,a)]. 14715 K(x,y \ L(L(T(x,z),u,w),v5,v6)) = K(x,y \ L(L(x,u,w),v5,v6)). [para(90(a,1),14713(a,1,2))]. 14716 K((x \ y) \ T(y,x),z \ L((x \ y) \ T(y,x),u,w)) = K(x,z \ L(L(x,y,x),u,w)). [hyper(66,a,11681,a,b,14715,a)]. 14719 K(x,y \ L(L(x,z,x),u,w)) = K(x,y \ L(x,u,w)). [hyper(66,a,11492,a(flip),b,14716,a),flip(a)]. 14721 K(x,(y \ 1) \ L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(14719(a,1),10729(a,1,1))]. 14722 K(x,1 \ (y * L(x,z,u))) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(11830(a,1),14721(a,1,1))]. 14724 K(x,y * L(x,z,u)) * (y \ (T(y,x) * L(x,z,u))) = L(L(x,y,x),z,u). [para(78(a,1),14722(a,1,1,2))]. 14725 K(x,y * L(x,z,u)) * (K(y,x) * L(x,z,u)) = L(L(x,y,x),z,u). [para(5514(a,1),14724(a,1,2))]. 14726 L(x,y,z) * (K(x,u * L(x,y,z)) * K(u,x)) = L(L(x,u,x),y,z). [hyper(12134,a,14725,a)]. 14727 L(x,y,z) * (K(u,x) * K(x,u * L(x,y,z))) = L(L(x,u,x),y,z). [para(2229(a,1),14726(a,1,2))]. 14728 L(x,y,z) * (a(x,u,L(x,y,z)) \ 1) = L(L(x,u,x),y,z). [para(11873(a,1),14727(a,1,2))]. 14729 L(x,y,z) \ L(L(x,u,x),y,z) = a(x,u,L(x,y,z)) \ 1. [hyper(128,a,14728,a)]. 14730 x * a(L(y,z,u),w,L(y,z,u)) = (a(y,w,L(y,z,u)) \ 1) \ x. [para(14729(a,1),14077(a,1,1)),flip(a)]. 14731 a(L(x,y,z),u,L(x,y,z)) = a(x,u,L(x,y,z)). [hyper(121,a,14730,a,b,12372,a(flip))]. 14733 L(x,y,z) * a(x,u,L(x,y,z)) = R(L(x,y,z),u,L(x,y,z)). [hyper(124,a,14731,a(flip),b,12777,a)]. 14734 L(x,y,z) * a(x,u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(285,a,13936,a(flip),b,14733,a),flip(a)]. 14735 L(x,y,z) * a(x,u,x) = L(R(x,u,x),y,z). [para(13945(a,1),14734(a,1,2))]. 14736 (x * (y * z)) \ ((x * y) * L(R(z,u,z),y,x)) = L(a(z,u,z),L(z,y,x),x * y). [para(14735(a,1),441(a,1,2,2))]. 14738 (x * (y * z)) \ (x * (y * R(z,u,z))) = L(a(z,u,z),L(z,y,x),x * y). [para(103(a,1),14736(a,1,2))]. 14739 L(a(x,y,x),L(x,z,u),u * z) = L(a(x,y,x),z * x,u). [hyper(12844,a,14738,a),flip(a)]. 14740 L(a(x,y,x),z * x,u) = a(x,y,x). [hyper(13572,a,14739,a),flip(a)]. 14742 L(a(x,y,x),z,u) = a(x,y,x). [para(17(a,1),14740(a,1,2))]. 14751 a(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x). [hyper(66,a,14408,a(flip),b,14742,a),flip(a)]. 14752 a(x,L(y,z,u),x) = a(x,y,x). [hyper(66,a,14216,a(flip),b,14742,a)]. 14757 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(124,a,14752,a(flip),b,12777,a),flip(a)]. 14758 R(x,L(y,z,u),x) = R(x,y,x). [hyper(285,a,12778,a(flip),b,14757,a),flip(a)]. 14759 L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),12180(a,1,2,1))]. 14761 L(x,L(y,z,u) \ y,x) = a(x,a(u,z,y),x) \ x. [para(14751(a,1),12814(a,1,1)),flip(a)]. 14762 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [hyper(285,a,12814,a(flip),b,14761,a),flip(a)]. 14763 L(x,y,z) * T(R(u,x,u),R(u,x,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(14758(a,1),14759(a,1,2,2,1))]. 14765 L(x,y,z) * T(R(u,x,u),x * R(u,x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4182(a,2),14763(a,1,2))]. 14767 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4250(a,1),14765(a,1,2,2))]. 14768 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(13726(a,1),14767(a,1,2))]. 14769 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(726(a,1),14768(a,1,2)),flip(a)]. 14770 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(66,a,9803,a(flip),b,14769,a)]. 14771 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(122,a,14770,a(flip),b,5130,a(flip))]. 14772 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(66,a,11854,a(flip),b,14771,a),flip(a)]. 14773 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(285,a,14580,a(flip),b,14772,a),flip(a)]. 14774 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(17(a,1),14773(a,1,1))]. 14775 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(66,a,10872,a(flip),b,14774,a)]. 14776 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(13959(a,1),14775(a,2,3))]. 14777 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(285,a,14700,a(flip),b,14776,a),flip(a)]. 14779 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(66,a,13780,a(flip),b,14777,a)]. 14780 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(v5 \ 1,z))). [para(14777(a,1),14709(a,1,3)),flip(a)]. 14781 ((x * (L(y,z,u) \ y)) / ((x * (L(y,z,u) \ y)) / x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [hyper(66,a,6675,a(flip),b,14779,a)]. 14782 a(x,y,K(z * (L(z,u,w) \ (v5 \ 1)),v5)) = a(x,y,a(w,u,K(z,v5))). [para(14709(a,1),14780(a,2,3))]. 14783 a(x,y,K(L(z,u,w) \ (v5 \ z),v5)) = a(x,y,a(w,u,K(z,v5))). [para(10691(a,1),14782(a,1,3))]. 14784 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(66,a,14704,a(flip),b,14783,a)]. 14785 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(14784(a,1),11127(a,1,2))]. 14786 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(11702(a,1),14785(a,1,2)),flip(a)]. 14787 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(285,a,13,a(flip),b,14786,a),flip(a)]. 14789 K(x,L(y,z,u) \ y) = T((x \ 1) \ 1,w) / ((T(x,w) \ 1) \ K(a(u,z,y),x)). [para(14787(a,1),9935(a,1,2,2)),flip(a)]. 14790 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(285,a,9935,a(flip),b,14789,a),flip(a)]. 14791 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [hyper(124,a,14790,a(flip),b,5125,a(flip)),flip(a)]. 14794 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(285,a,5130,a,b,14791,a),flip(a)]. 14795 (x * K(L(y,z,u) \ y,x)) \ L(x,x \ (x * (L(y,z,u) \ y)),x) = a(u,z,K(x,y)). [para(5075(a,1),14781(a,1,1))]. 14796 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [para(14(a,1),14795(a,1,2,2))]. 14798 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(14762(a,1),14796(a,1,2))]. 14799 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(66,a,5738,a(flip),b,14798,a)]. 14800 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(66,a,9220,a(flip),b,14799,a)]. 14801 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(14794(a,1),14800(a,1,2,1))]. 14802 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5476,a,14801,a)]. 14803 (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),9941(a,1,2,1,2,2,2))]. 14804 (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14803(a,1,2,1,2,2))]. 14805 (x \ 1) * (K(y,K(x \ 1,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14804(a,1,2,1))]. 14806 (x \ 1) * (K(y,K(x \ 1,T(z,L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10424(a,1),14805(a,1,2,1,2))]. 14807 (x \ 1) * (K(y,K(x \ 1,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7814(a,1),14806(a,1,2,1,2))]. 14809 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10126(a,1),14807(a,1,2,1))]. 14810 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,L(x,u,w) * (1 / x))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5043(a,1),14809(a,1,2,2,1,2,1,2,2))]. 14811 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(K(y,T(z,x \ L(x,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(4806(a,1),14810(a,1,2,2,1,2,1,2))]. 14812 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,x \ L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7860(a,1),14811(a,1,2,2,1,2))]. 14813 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(T(z,L(x,u,w)),x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(9949(a,1),14812(a,1,2,2,1,2,2))]. 14814 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(z,x \ 1)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7789(a,1),14813(a,1,2,2,1,2,2))]. 14816 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(y,K(x,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(10114(a,1),14814(a,1,2,2,1,2))]. 14817 (x \ 1) * (K(x,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(7881(a,1),14816(a,1,2,2,1,2))]. 14818 (x \ 1) * (K(x,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(5414(a,2),14817(a,1,2,2,1))]. 14819 (x \ 1) * T(K(x,K(y,z)) * L(T(x,K(y,z)),u,w),x \ 1) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [para(12518(a,2),14818(a,1,2))]. 14820 K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). [hyper(66,a,12519,a(flip),b,14819,a)]. 14821 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). [para(6249(a,1),14820(a,1,2)),flip(a)]. 14822 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). [hyper(285,a,7926,a(flip),b,14821,a),flip(a)]. 14823 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1080(a,1),14822(a,1,1)),flip(a)]. 14824 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(66,a,14004,a,b,14823,a)]. 14825 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1080(a,1),14824(a,1,1))]. 14826 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w * x,u)). [para(14825(a,1),10667(a,1,2))]. 14827 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(13330,a,14826,a),flip(a)]. 14828 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(285,a,7884,a,b,14827,a),flip(a)]. 14830 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(66,a,13486,a(flip),b,14828,a)]. 14831 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(285,a,7881,a,b,14830,a),flip(a)]. 14833 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(66,a,13487,a,b,14831,a)]. 14834 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(66,a,13898,a,b,14833,a)]. 14836 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(285,a,11571,a(flip),b,14834,a),flip(a)]. 14837 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(13318,a,14836,a)]. 14838 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(14836(a,1),13318(a,1))]. 14839 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,7878,a,b,14837,a)]. 14840 K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(x * y,a(x,y,z))). [hyper(66,a,12269,a,b,14839,a)]. 14841 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(13375,a,14840,a)]. 14842 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * R(K(y,z),u,w)) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(27(a,2),11174(a,1,1)),flip(a)]. 14843 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5)). [para(14440(a,1),14842(a,2,1,2,2))]. 14844 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = T(v5,K(x,y) * K(y,R(z,u,w))) \ v5. [para(11042(a,1),14843(a,2,2))]. 14845 K(K(x,y) * L(R(K(y,z),u,w),K(x,y),v5),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [hyper(285,a,5119,a,b,14844,a),flip(a)]. 14846 K(K(x,y) * R(K(y,z),u,w),R(v5,K(x,y),L(R(K(y,z),u,w),K(x,y),v5))) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(10947(a,1),14845(a,1,1,2))]. 14848 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(11042(a,1),14846(a,1,2))]. 14849 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(14460(a,1),14848(a,1,1)),flip(a)]. 14851 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(66,a,12009,a(flip),b,14849,a)]. 14852 R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). [para(14851(a,1),12044(a,1,1,1))]. 14853 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(2257(a,1),14852(a,1,1)),flip(a)]. 14854 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(285,a,8817,a(flip),b,14853,a),flip(a)]. 14855 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7860(a,1),14854(a,1,2,1,1))]. 14856 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(10155(a,1),14855(a,1,2,1))]. 14857 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(5190(a,2),14856(a,1,2))]. 14858 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(66,a,12254,a,b,14857,a)]. 14859 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7889(a,1),14858(a,1,1))]. 14860 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(66,a,11953,a(flip),b,14859,a)]. 14861 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(66,a,14468,a(flip),b,14860,a),flip(a)]. 14862 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(37,a,5130,a(flip),b,14861,a),flip(a)]. 14863 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(66,a,14851,a,b,14862,a)]. 14864 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(14863(a,1),14485(a,1,2))]. 14865 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(125,a,14864,a),flip(a)]. 14866 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(285,a,14862,a,b,14865,a),flip(a)]. 14867 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7881(a,1),14865(a,1,1))]. 14868 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7881(a,1),14866(a,1,1))]. 14869 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(14497(a,2),14866(a,2,1)),flip(a)]. 14870 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(14518(a,1),14867(a,2,2))]. 14871 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(66,a,14868,a,b,14869,a)]. 14872 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(66,a,14871,a(flip),b,14870,a),flip(a)]. 14873 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(66,a,10261,a,b,14872,a)]. 14874 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7884(a,2),14873(a,2,1))]. 14875 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(13364,a,14874,a)]. 14876 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(66,a,10277,a(flip),b,14875,a)]. 14877 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7908(a,1),14876(a,2,1))]. 14879 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(10156(a,1),14877(a,2,1))]. 14880 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(13329,a,14879,a)]. 14883 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(66,a,13286,a(flip),b,14880,a)]. 14885 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(66,a,14841,a(flip),b,14883,a),flip(a)]. 14886 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(11539(a,1),14885(a,1,1)),flip(a)]. 14887 K(x,K(y * z,a(y,z,u))) = 1. [hyper(285,a,13359,a(flip),b,14886,a),flip(a)]. 14888 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(14838,a,14887,a)]. 14891 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = 1 * (y * (z * u)). [para(14888(a,1),7948(a,1,1)),flip(a)]. 14892 (1 / K(x,a(y,z,u))) * ((y * (z * u)) / (K(x,a(y,z,u)) \ 1)) = y * (z * u). [hyper(285,a,12,a(flip),b,14891,a),flip(a)]. 14893 K(x,a(y,z,u)) * (y * (z * u)) = (y * (z * u)) * K(x,a(y,z,u)). [para(14892(a,1),7978(a,1,1)),flip(a)]. 14894 K(x,T(a(y,z,u),y * (z * u))) = K(x,a(y,z,u)). [hyper(7726,a,14893,a)]. 14895 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(10978,a,14894,a)]. 14896 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(66,a,13102,a,b,14895,a)]. 14897 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(14518(a,2),14896(a,1,1))]. 14898 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14491,a,b,14897,a)]. 14899 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(66,a,14515,a(flip),b,14898,a)]. 14901 a(x,a(y,z,u),x) \ K(x,a(y,z,u)) = a(K(x,y),z * y,u). [para(14899(a,1),14526(a,1,2))]. 14902 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(K(x,y),z * y,u). [hyper(66,a,13541,a(flip),b,14901,a)]. 14903 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(5476,a,14902,a)]. 14904 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(285,a,14899,a(flip),b,14903,a),flip(a)]. 14905 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(285,a,14497,a(flip),b,14903,a),flip(a)]. 14906 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(66,a,14802,a(flip),b,14904,a)]. 14907 a(x,y,K(z,u)) \ w = K(u,a(x,y,z)) * w. [para(14906(a,1),11137(a,2,1))]. 14908 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(66,a,14802,a(flip),b,14905,a),flip(a)]. 14909 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(14908(a,1),14479(a,1,1,2))]. 14910 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(7352,a,14907,a),flip(a)]. 14911 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(11727,a,14909,a),flip(a)]. 14915 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(66,a,14908,a(flip),b,14911,a),flip(a)]. 14918 a(x,y,K(z,u)) = K(a(u,y,x),z). [hyper(285,a,14910,a(flip),b,14915,a),flip(a)]. 14919 K(a(x,y,z),u) = K(a(u,y,x),z). [hyper(66,a,14910,a(flip),b,14918,a)]. 14921 $F # answer("Ka (3241)"). [resolve(14919,a,75,a(flip))]. ============================== end of proof ==========================