============================== prooftrans ============================ Prover9 (64) version 2017-09A, September 2017. Process 13798 was started by veroff on b146-05, Sun Jun 20 16:34:24 2021 The command was "prover9 -f aK2_eq_aK3_r.in". ============================== end of head =========================== ============================== end of input ========================== ============================== PROOF ================================= % -------- Comments from original proof -------- % Proof 1 at 974.10 (+ 49.85) seconds: "aK2_eq_aK3 (1243)". % Length of proof is 8702. % Level of proof is 628. % Maximum clause weight is 65.000. % Given clauses 9171 (14.604 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(x,K(y,z),u) = a(x,y,K(u,z)) # label("aK2_eq_aK3 (1243)") # label(non_clause) # label(goal). [goal]. 7 1 * x = x. [assumption]. 8 x * 1 = x. [assumption]. 9 x \ (x * y) = y. [assumption]. 10 x * (x \ y) = y. [assumption]. 11 (x * y) / y = x. [assumption]. 12 (x / y) * y = x. [assumption]. 13 (x * (y * z)) \ ((x * y) * z) = a(x,y,z) # label("associator"). [assumption]. 14 a(x,y,z) = (x * (y * z)) \ ((x * y) * z). [copy(13),flip(a)]. 15 (x * y) \ (y * x) = K(y,x) # label("commutator"). [assumption]. 16 K(x,y) = (y * x) \ (x * y). [copy(15),flip(a)]. 17 (x * y) \ (x * (y * z)) = L(z,y,x). [assumption]. 18 L(x,y,z) = (z * y) \ (z * (y * x)). [copy(17),flip(a)]. 19 ((x * y) * z) / (y * z) = R(x,y,z). [assumption]. 20 R(x,y,z) = ((x * y) * z) / (y * z). [copy(19),flip(a)]. 21 x \ (y * x) = T(y,x). [assumption]. 22 T(x,y) = y \ (x * y). [copy(21),flip(a)]. 23 T(T(x,y),z) = T(T(x,z),y). [assumption]. 24 T(L(x,y,z),u) = L(T(x,u),y,z). [assumption]. 25 L(T(x,y),z,u) = T(L(x,z,u),y). [copy(24),flip(a)]. 26 T(R(x,y,z),u) = R(T(x,u),y,z). [assumption]. 27 R(T(x,y),z,u) = T(R(x,z,u),y). [copy(26),flip(a)]. 28 L(R(x,y,z),u,w) = R(L(x,u,w),y,z). [assumption]. 29 R(L(x,y,z),u,w) = L(R(x,u,w),y,z). [copy(28),flip(a)]. 30 L(L(x,y,z),u,w) = L(L(x,u,w),y,z). [assumption]. 31 R(R(x,y,z),u,w) = R(R(x,u,w),y,z). [assumption]. 32 (x * y) * x = x * (y * x) # label("flex"). [assumption]. 33 x * y != z | x * u != z | y = u # label("*-Cancellation 1"). [assumption]. 34 x * y != z | u * y != z | x = u # label("*-Cancellation 2"). [assumption]. 35 x / y != z | x / u != z | y = u # label("/-Cancellation 1"). [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 T(x,y) != z | T(u,y) != z | x = u # label("T-Cancellation 1"). [assumption]. 40 L(x,y,z) != u | L(w,y,z) != u | x = w # label("L-Cancellation 1"). [assumption]. 41 R(x,y,z) != u | R(w,y,z) != u | x = w # label("R-Cancellation 1"). [assumption]. 42 x * y != x * z | y = z # label("*-Cancellation 3"). [assumption]. 43 x * y != z * y | x = z # label("*-Cancellation 4"). [assumption]. 44 x / y != x / z | y = z # label("/-Cancellation 3"). [assumption]. 45 x / y != z / y | x = z # label("/-Cancellation 4"). [assumption]. 46 x \ y != x \ z | y = z # label("\-Cancellation 3"). [assumption]. 47 x \ y != z \ y | x = z # label("\-Cancellation 4"). [assumption]. 48 T(x,y) != T(z,y) | x = z # label("T-Cancellation 2"). [assumption]. 49 L(x,y,z) != L(u,y,z) | x = u # label("L-Cancellation 2"). [assumption]. 50 R(x,y,z) != R(u,y,z) | x = u # label("R-Cancellation 2"). [assumption]. 51 a(x,y,z) != 1 | L(z,y,x) = z # label("Compat 1"). [clausify(1)]. 52 L(x,y,z) != x | a(z,y,x) = 1 # label("Compat 2"). [clausify(2)]. 53 T(x,y) != x | T(y,x) = y # label("Compat 3"). [clausify(3)]. 54 T(x,y) != x | K(x,y) = 1 # label("Compat 4"). [clausify(4)]. 55 K(x,y) != 1 | T(x,y) = x # label("Compat 5"). [clausify(5)]. 56 x != y | x * z = y * z # label("Aux 1"). [assumption]. 57 x != y | z * x = z * y # label("Aux 2"). [assumption]. 58 x != y | x / z = y / z # label("Aux 3"). [assumption]. 59 x != y | z / x = z / y # label("Aux 4"). [assumption]. 62 x != y | y != z | x = z # label("Transitivity ="). [assumption]. 63 a(c1,K(c2,c3),c4) != a(c1,c2,K(c4,c3)) # label("aK2_eq_aK3 (1243)") # answer("aK2_eq_aK3 (1243)"). [deny(6)]. 64 1 \ x = x. [para(7(a,1),9(a,1,2))]. 65 x \ x = 1. [para(8(a,1),9(a,1,2))]. 66 x \ (x * (y \ (y * z))) = z. [para(9(a,2),9(a,1))]. 67 (x * (x \ 1)) * y = y. [para(10(a,2),7(a,1,1))]. 68 x * (y * (y \ 1)) = x. [para(10(a,2),8(a,1,2))]. 69 x \ (y * (y \ (x * z))) = z. [para(10(a,2),9(a,1,2))]. 70 x * (y * (y \ (x \ z))) = z. [para(10(a,2),10(a,1,2))]. 71 x / x = 1. [para(7(a,1),11(a,1,1))]. 72 x / 1 = x. [para(8(a,1),11(a,1,1))]. 73 x * (((x \ y) * z) / z) = y. [para(11(a,2),10(a,1,2))]. 74 x / (y \ x) = y. [para(10(a,1),11(a,1,1))]. 75 ((1 / x) * x) * y = y. [para(12(a,2),7(a,1,1))]. 76 x * ((1 / y) * y) = x. [para(12(a,2),8(a,1,2))]. 77 (x / y) \ x = y. [para(12(a,1),9(a,1,2))]. 78 (x \ (x * (y / z))) * z = y. [para(9(a,2),12(a,1,1))]. 79 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(14(a,2),10(a,1,2))]. 80 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(10(a,1),14(a,2,2,1)),flip(a)]. 81 (x * y) * K(y,x) = y * x. [para(16(a,2),10(a,1,2))]. 82 x \ ((y \ x) * y) = K(y \ x,y). [para(10(a,1),16(a,2,1)),flip(a)]. 83 ((x \ y) * x) \ y = K(x,x \ y). [para(10(a,1),16(a,2,2)),flip(a)]. 84 x \ (y * (x / y)) = K(y,x / y). [para(12(a,1),16(a,2,1)),flip(a)]. 85 x \ (1 * (x * y)) = L(y,x,1). [para(7(a,1),18(a,2,1)),flip(a)]. 86 (x * 1) \ (x * y) = L(y,1,x). [para(7(a,1),18(a,2,2,2)),flip(a)]. 87 (x * y) \ (x * y) = L(1,y,x). [para(8(a,1),18(a,2,2,2)),flip(a)]. 88 (x * y) * L(z,y,x) = x * (y * z). [para(18(a,2),10(a,1,2))]. 89 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(10(a,1),18(a,2,1)),flip(a)]. 90 L(x \ y,x,z) = (z * x) \ (z * y). [para(10(a,1),18(a,2,2,2))]. 91 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(12(a,1),18(a,2,2,2))]. 92 ((x * 1) * y) / y = R(x,1,y). [para(7(a,1),20(a,2,2)),flip(a)]. 93 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(10(a,1),20(a,2,1,1))]. 94 R(x,y,z) * (y * z) = (x * y) * z. [para(20(a,2),12(a,1,1))]. 95 R(x / y,y,z) = (x * z) / (y * z). [para(12(a,1),20(a,2,1,1))]. 96 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(12(a,1),20(a,2,2)),flip(a)]. 97 T(x,x) = x. [para(22(a,2),9(a,1))]. 98 x * T(y,x) = y * x. [para(22(a,2),10(a,1,2))]. 99 T(x,x \ y) = (x \ y) \ y. [para(10(a,1),22(a,2,2))]. 100 T(x / y,y) = y \ x. [para(12(a,1),22(a,2,2))]. 101 T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). [para(27(a,2),23(a,1,1)),flip(a)]. 102 x \ (x * (y * x)) = T(x * y,x). [para(32(a,1),22(a,2,2)),flip(a)]. 103 1 * x != y | z != y | x = z. [para(7(a,1),33(b,1))]. 104 x != y | z * u != y | z \ x = u. [para(10(a,1),33(a,1))]. 105 x != y | z * u != y | x / u = z. [para(12(a,1),34(a,1))]. 106 1 * x != y | x = y. [para(7(a,1),42(a,2))]. 107 (x * y) * 1 != x * z | z = y. [para(8(a,2),42(a,2)),flip(a)]. 108 x * y != z | x \ z = y. [para(10(a,1),42(a,1)),flip(a)]. 112 x * 1 != y | y = x. [para(8(a,1),43(a,1)),flip(a)]. 113 x * 1 != y | x = y. [para(8(a,1),43(a,2))]. 114 x * (y \ z) != z | x = y. [para(10(a,1),43(a,2))]. 115 x * y != z | z / y = x. [para(12(a,1),43(a,1)),flip(a)]. 118 x / y != z | z * y = x. [para(11(a,1),45(a,1)),flip(a)]. 119 x \ y != z | x * z = y. [para(9(a,1),46(a,1)),flip(a)]. 121 x \ (y * (z * u)) != L(u,z,y) | y * z = x. [para(18(a,2),47(a,1)),flip(a)]. 122 T(T(x,y),z) != T(u,y) | T(x,z) = u. [para(23(a,1),48(a,1))]. 123 T(x,y) != R(T(z,y),u,w) | R(z,u,w) = x. [para(27(a,2),48(a,1)),flip(a)]. 124 T(L(x,y,z),u) != L(w,y,z) | T(x,u) = w. [para(25(a,1),49(a,1))]. 126 T(R(x,y,z),u) != R(w,y,z) | T(x,u) = w. [para(27(a,1),50(a,1))]. 127 ((x / y) * y) * z = x * z. [hyper(56,a,12,a)]. 128 (x * (x \ y)) * z = y * z. [hyper(56,a,10,a)]. 129 x * (y * (y \ z)) = x * z. [hyper(57,a,10,a)]. 130 ((x / y) * y) / z = x / z. [hyper(58,a,12,a)]. 131 (x / y) * y = z * (z \ x). [hyper(62,a,12,a,b,10,a(flip))]. 132 x \ (x * y) = z * (z \ y). [hyper(62,a,10,a,b,9,a(flip)),flip(a)]. 133 x * (x \ y) = y * 1. [hyper(62,a,10,a,b,8,a(flip))]. 134 (x * (x \ 1)) \ y = y. [para(10(a,2),64(a,1,1))]. 135 ((1 / x) * x) \ y = y. [para(12(a,2),64(a,1,1))]. 136 1 \ x != y | x = y. [para(64(a,1),46(a,2))]. 137 K(x,x) = 1. [hyper(62,a,16,a,b,65,a)]. 138 x / (y * (y \ 1)) = x. [para(10(a,2),72(a,1,2))]. 139 x / ((1 / y) * y) = x. [para(12(a,2),72(a,1,2))]. 140 T(x,R(x,y,z)) = x. [hyper(41,a,27,a,b,97,a(flip))]. 141 T(x,L(x,y,z)) = x. [hyper(40,a,25,a,b,97,a(flip))]. 142 T(x,T(x,y)) = x. [hyper(39,a,23,a,b,97,a(flip))]. 143 T(T(x,y),x) = T(x,y). [para(97(a,1),23(a,1,1)),flip(a)]. 144 T(L(x,y,z),x) = L(x,y,z). [para(97(a,1),25(a,1,1)),flip(a)]. 145 x * K(y,y) = x. [para(137(a,2),8(a,1,2))]. 146 x / (y \ x) = z * (z \ y). [hyper(62,a,74,a,b,10,a(flip))]. 147 R(x,y,z) \ ((x * y) * z) = y * z. [hyper(35,a,20,a(flip),b,74,a),flip(a)]. 148 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(14(a,2),74(a,1,2))]. 149 (x * (y * z)) / L(z,y,x) = x * y. [para(18(a,2),74(a,1,2))]. 150 (x * y) / T(x,y) = y. [para(22(a,2),74(a,1,2))]. 151 x / y != z | z \ x = y. [para(74(a,1),44(a,1)),flip(a)]. 152 x / (y / ((z \ x) \ y)) = z. [para(74(a,2),74(a,1,2))]. 153 (x / y) \ x = z * (z \ y). [hyper(62,a,77,a,b,10,a(flip))]. 154 x * ((y / (x \ z)) \ y) = z. [hyper(37,a,9,a,b,77,a(flip))]. 155 ((x / (y / z)) \ x) \ y = z. [hyper(35,a,74,a,b,77,a(flip))]. 156 x \ y != z | y / z = x. [para(77(a,1),47(a,1)),flip(a)]. 157 T(x,T(T(x,y),z)) = x. [hyper(39,a,23,a,b,142,a(flip))]. 158 x * K(y,y) != z | x = z. [para(145(a,1),43(a,2))]. 159 x * (y \ y) != z | x = z. [para(65(a,2),113(a,1,2))]. 160 x != y | 1 * x = y. [para(9(a,1),136(a,1))]. 163 T(x,R(T(x,y),z,u)) = x. [hyper(39,a,23,a,b,140,a(flip))]. 164 T(x,L(T(x,y),z,u)) = x. [hyper(39,a,23,a,b,141,a(flip))]. 165 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(67(a,1),20(a,2,1))]. 166 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(68(a,1),14(a,2,1)),flip(a)]. 167 L(x \ 1,x,y) = (y * x) \ y. [para(68(a,1),18(a,2,2))]. 168 R(1 / x,x,y) = y / (x * y). [para(75(a,1),20(a,2,1))]. 169 (x \ y) * T(x,x \ y) = y. [hyper(62,a,98,a,b,10,a)]. 170 T(x * y,x) = y * x. [hyper(33,a,32,a(flip),b,98,a),flip(a)]. 171 T((x * y) / x,x) = y. [hyper(33,a,12,a(flip),b,98,a),flip(a)]. 172 (x * T(y,x)) / x = y. [hyper(34,a,12,a,b,98,a(flip))]. 173 x \ (y * T(x,y)) = y. [hyper(33,a,10,a,b,98,a(flip))]. 174 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(98(a,1),14(a,2,1,2)),flip(a)]. 175 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(98(a,1),14(a,2,2,1)),flip(a)]. 176 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(98(a,1),18(a,2,2,2)),flip(a)]. 177 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(98(a,1),20(a,2,1,1)),flip(a)]. 178 x * T(T(y,x),z) = T(y,z) * x. [para(23(a,1),98(a,1,2))]. 179 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(25(a,2),98(a,1,2))]. 180 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(27(a,2),98(a,1,2))]. 181 x * y != z | y * u != z | T(x,y) = u. [para(98(a,1),33(a,1))]. 182 x * y != z * x | T(z,x) = y. [para(98(a,1),42(a,1)),flip(a)]. 183 x * 1 != y | T(x,1) = y. [para(98(a,1),106(a,1))]. 184 T(x / (x / y),x / y) = y. [hyper(62,a,100,a,b,77,a)]. 185 T(T(x / y,z),y) = T(y \ x,z). [para(100(a,1),23(a,1,1)),flip(a)]. 186 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(100(a,1),27(a,1,1)),flip(a)]. 187 T(x,y) != y \ z | z / y = x. [para(100(a,1),48(a,1)),flip(a)]. 188 x \ (y * (y \ x)) = 1. [hyper(33,a,10,a,b,133,a(flip))]. 189 x * 1 != y * z | y \ x = z. [para(133(a,1),42(a,1))]. 190 x * (x \ y) != z | z = y. [para(133(a,2),112(a,1))]. 191 x * (x \ y) != z | y = z. [para(133(a,2),113(a,1))]. 192 x * ((x \ 1) * y) = L(y,x \ 1,x). [hyper(62,a,18,a,b,134,a),flip(a)]. 193 K(x \ 1,x) = (x \ 1) * x. [hyper(62,a,16,a,b,134,a)]. 194 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(62,a,18,a,b,135,a),flip(a)]. 195 (x * y) * (y \ 1) = R(x,y,y \ 1). [hyper(62,a,20,a,b,138,a),flip(a)]. 196 x / (y * (y \ 1)) != z | x = z. [para(138(a,1),45(a,2))]. 197 (x * (1 / y)) * y = R(x,1 / y,y). [hyper(62,a,20,a,b,139,a),flip(a)]. 199 x / T(y,y \ x) = y \ x. [para(10(a,1),150(a,1,1))]. 201 T(x,y) = (y \ x) * y. [para(10(a,1),170(a,1,1))]. 202 T(T(x * y,z),x) = T(y * x,z). [para(170(a,1),23(a,1,1)),flip(a)]. 203 T(x,y) != z * y | y * z = x. [para(170(a,1),48(a,1)),flip(a)]. 204 T(x * y,y * x) = x * y. [para(170(a,1),142(a,1,2))]. 205 T(x * y,y) = T(x,y) * y. [para(98(a,1),170(a,1,1))]. 206 (x * T(T(y,x),z)) / x = T(y,z). [hyper(39,a,23,a,b,171,a),flip(a)]. 207 T(T((x * y) / x,z),x) = T(y,z). [para(171(a,1),23(a,1,1)),flip(a)]. 208 T(x,y) != z | (y * z) / y = x. [para(171(a,1),48(a,1)),flip(a)]. 209 T((x * y) / x,y) = (x * y) / x. [para(171(a,1),142(a,1,2))]. 210 a(x,y,z) * T(x * (y * z),a(x,y,z)) = (x * y) * z. [hyper(37,a,14,a(flip),b,173,a),flip(a)]. 211 (x \ T(x,y)) * x = T(x,y). [hyper(62,a,143,a(flip),b,201,a),flip(a)]. 212 (T(x,y) \ x) * T(x,y) = x. [hyper(62,a,142,a(flip),b,201,a),flip(a)]. 213 (R(x,y,z) \ x) * R(x,y,z) = x. [hyper(62,a,140,a(flip),b,201,a),flip(a)]. 214 T(x,y) / y = y \ x. [hyper(34,a,12,a,b,201,a(flip))]. 215 T(x \ y,x) = x \ T(y,x). [para(201(a,2),22(a,2,2))]. 216 T(x,(y \ x) * y) = x. [para(201(a,1),142(a,1,2))]. 217 x \ y != T(z,x) / x | z = y. [para(214(a,2),46(a,1)),flip(a)]. 218 x / T(x,y) = T(x,y) \ x. [para(142(a,1),214(a,1,1))]. 219 x / R(x,y,z) = R(x,y,z) \ x. [para(140(a,1),214(a,1,1))]. 220 x / L(x,y,z) = L(x,y,z) \ x. [para(141(a,1),214(a,1,1))]. 221 T(x,y) / x = x \ T(x,y). [para(143(a,1),214(a,1,1))]. 222 x \ x != y | 1 = y. [para(7(a,1),159(a,1))]. 223 K(x,L(T(x,y),z,u)) = 1. [hyper(54,a,164,a)]. 224 T(x,1) = x. [hyper(183,a,8,a)]. 225 K(x,1) = 1. [hyper(54,a,224,a)]. 226 T(1,x) = 1. [hyper(53,a,224,a)]. 227 T(x,1) != y | y = x. [para(224(a,1),48(a,1)),flip(a)]. 228 T(x,y \ y) = x. [para(65(a,2),224(a,1,2))]. 229 K(1,x) = 1. [hyper(54,a,226,a)]. 230 1 / x = x \ 1. [para(226(a,1),214(a,1,1))]. 231 (x \ 1) \ 1 = x. [hyper(151,a,230,a)]. 232 1 / (1 / x) = x. [hyper(62,a,230,a,b,77,a)]. 233 T(x \ 1,x) = x \ 1. [para(230(a,1),100(a,1,1))]. 234 x \ 1 != y | y \ 1 = x. [para(230(a,1),151(a,1))]. 235 K(x \ 1,x) = 1. [hyper(54,a,233,a)]. 236 K(x \ 1,x) = K(y \ 1,y). [hyper(62,a,235,a,b,235,a(flip))]. 237 T(x,K(y \ 1,y)) = x. [para(235(a,2),224(a,1,2))]. 238 K(x \ 1,x) / y = y \ 1. [para(235(a,2),230(a,1,1))]. 239 (x \ 1) \ K(y \ 1,y) = x. [para(235(a,2),231(a,1,2))]. 240 K(x,x \ 1) = 1. [para(231(a,1),235(a,1,1))]. 241 T(x,K(y,y \ 1)) = x. [para(240(a,2),224(a,1,2))]. 242 x \ K(y,y \ 1) = 1 / x. [para(240(a,2),230(a,2,2)),flip(a)]. 243 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(62,a,170,a(flip),b,237,a),flip(a)]. 244 T(x,K(y,1 / y)) = x. [para(77(a,1),237(a,1,2,1))]. 245 K(x,x \ 1) * y = y * K(x,x \ 1). [hyper(62,a,170,a(flip),b,241,a),flip(a)]. 246 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(53,a,241,a)]. 247 K(x,1 / x) * y = y * K(x,1 / x). [hyper(62,a,170,a(flip),b,244,a),flip(a)]. 248 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(18(a,2),190(a,1,2)),flip(b)]. 249 x * T(y,x) != z | y * x = z. [para(22(a,2),190(a,1,2)),flip(b)]. 250 (x / y) * y != z | z = x. [para(77(a,1),190(a,1,2))]. 251 x * y != z | y * T(x,y) = z. [para(173(a,1),190(a,1,2)),flip(b)]. 252 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(20(a,2),250(a,1,1)),flip(b)]. 253 L(x \ (y \ z),x,y) = (y * x) \ z. [para(70(a,1),18(a,2,2))]. 254 x * (x \ (y * z)) = y * (u * (u \ z)). [para(69(a,1),70(a,1,2,2,2)),flip(a)]. 255 x * K(y \ x,y) = (y \ x) * y. [para(10(a,1),81(a,1,1))]. 256 x * K(y,x / y) = y * (x / y). [para(12(a,1),81(a,1,1))]. 257 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(81(a,1),18(a,2,2,2)),flip(a)]. 258 T(x * y,K(y,x)) = K(y,x) \ (y * x). [para(81(a,1),22(a,2,2))]. 259 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(59,a,99,a)]. 260 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(57,a,99,a)]. 261 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(56,a,99,a)]. 262 x != y | z != y | x = z. [para(7(a,1),103(a,1))]. 263 ((x * y) / z) * z = ((x / u) * u) * y. [hyper(262,a,12,a,b,127,a)]. 264 (x / y) * y != z * u | z \ x = u. [para(131(a,2),42(a,1))]. 265 x * (x \ y) != z * u | y / u = z. [para(131(a,1),43(a,1))]. 266 x \ (x * y) != z | y = z. [para(132(a,2),159(a,1))]. 267 x * (y * (y \ z)) != u | x * z = u. [para(132(a,1),190(a,1,2)),flip(b)]. 268 x \ (x * y) != z | z = y. [para(132(a,2),190(a,1))]. 269 (x / y) \ x != z | y = z. [para(12(a,1),266(a,1,2))]. 270 x \ (y * x) != z | T(y,x) = z. [para(98(a,1),266(a,1,2))]. 273 T((x * y) / x,x) != z | z = y. [para(100(a,2),268(a,1))]. 275 x \ 1 != y | 1 / x = y. [para(232(a,1),269(a,1,1))]. 276 L(x,y,z) / x = x \ L(x,y,z). [para(144(a,1),214(a,1,1))]. 277 x / (y \ x) != z | y = z. [para(146(a,2),159(a,1))]. 278 x / (y \ x) != z | z = y. [para(146(a,2),190(a,1))]. 279 ((x * y) * z) / a(x,y,z) != u | x * (y * z) = u. [para(14(a,2),277(a,1,2))]. 280 (x * T(y,x)) / x != z | y = z. [para(173(a,1),277(a,1,2))]. 281 (x * y) / y != z | z = x. [para(9(a,1),278(a,1,2))]. 282 (x * T(y,x)) / x != z | z = y. [para(173(a,1),278(a,1,2))]. 283 x \ y != z * (z \ u) | y / u = x. [para(153(a,1),47(a,1)),flip(a)]. 284 (x / y) * ((z / y) \ z) = x. [para(77(a,1),154(a,1,2,1,2))]. 286 (x \ y) \ y != z | T(x,x \ y) = z. [para(169(a,1),266(a,1,2))]. 287 T(x,y / z) != z | y / (y / z) = x. [para(184(a,1),48(a,1)),flip(a)]. 288 x \ y != y / T(z,z \ y) | z = x. [para(199(a,2),47(a,1)),flip(a)]. 289 T(x,x \ T(x,y)) = x. [hyper(33,a,169,a,b,211,a)]. 291 T(x,y) / x != z | x \ T(x,y) = z. [para(211(a,1),281(a,1,1)),flip(b)]. 292 (T(x,y) \ x) \ x = T(x,y). [hyper(108,a,212,a)]. 294 K(x \ 1,x) = (y \ 1) * y. [hyper(262,a,193,a(flip),b,236,a),flip(a)]. 295 K(1 / x,x) / y = y \ 1. [para(230(a,2),238(a,1,1,1))]. 296 (x \ 1) \ K(y \ 1,y) != z | x = z. [para(238(a,1),269(a,1,1))]. 297 K(x \ 1,x) != y * z | z \ 1 = y. [para(239(a,1),114(a,1,2)),flip(a),flip(b)]. 298 K(x,x \ 1) = y * (1 / y). [hyper(119,a,242,a),flip(a)]. 299 x * ((y / z) \ y) != u | u / z = x. [para(284(a,1),43(a,1)),flip(a)]. 300 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(199(a,1),284(a,1,2,1))]. 302 K(x,x \ 1) != y * z | 1 / y = z. [para(298(a,2),42(a,1))]. 303 K(x,1 / x) = y * (1 / y). [para(230(a,2),298(a,1,2))]. 304 x \ (x * y) = L(y,x,1). [para(7(a,1),85(a,1,2))]. 305 L(x,y,1) = x. [hyper(268,a,304,a)]. 307 L(x,y,K(z \ 1,z)) = x. [para(235(a,2),305(a,1,3))]. 308 L(x,y,K(z,z \ 1)) = x. [para(240(a,2),305(a,1,3))]. 309 L(x,y,K(z \ 1,z)) != u | u = x. [para(307(a,1),49(a,1)),flip(a)]. 310 L(x,y,K(z,1 / z)) = x. [para(77(a,1),307(a,1,3,1))]. 311 x \ (x * y) = L(y,1,x). [para(8(a,1),86(a,1,1))]. 312 L(x,1,y) = x. [hyper(268,a,311,a)]. 313 L(x,1,y) != z | x = z. [para(311(a,1),266(a,1))]. 315 L(x,K(y \ 1,y),z) = x. [para(235(a,2),312(a,1,2))]. 316 L(x,K(y,y \ 1),z) = x. [para(240(a,2),312(a,1,2))]. 317 L(x,K(y,y \ 1),z) != u | x = u. [para(240(a,2),313(a,1,2))]. 318 L(x / y,K(z \ 1,z),u) != w / y | x = w. [para(315(a,2),45(a,1))]. 319 L(x,y * (1 / y),z) = x. [para(298(a,1),316(a,1,2))]. 320 L(x,y * (1 / y),z) != u | u = x. [para(319(a,1),49(a,1)),flip(a)]. 321 L(1,x,y) = 1. [hyper(222,a,87,a),flip(a)]. 324 a(x,y,1) = 1. [hyper(52,a,321,a)]. 325 a(x,y,K(1,z)) = 1. [para(229(a,2),324(a,1,3))]. 326 (x * y) / y = R(x,1,y). [para(8(a,1),92(a,1,1,1))]. 327 R(x,1,y) = x. [hyper(281,a,326,a)]. 329 R(x,1,y) != z | x = z. [para(327(a,1),50(a,2))]. 330 R(x,K(y \ 1,y),z) = x. [para(235(a,2),327(a,1,2))]. 331 x * y != x * z | z = y. [para(8(a,1),107(a,1))]. 333 x / L(y \ 1,y,x) = x * y. [hyper(156,a,167,a(flip))]. 334 (x * y) * L(y \ 1,y,x) = x. [hyper(119,a,167,a(flip))]. 335 L((x \ y) \ 1,x \ y,x) = y \ x. [para(10(a,1),167(a,2,1))]. 336 L(x \ 1,x,y / x) = y \ (y / x). [para(12(a,1),167(a,2,1))]. 337 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(167(a,1),25(a,2,1)),flip(a)]. 338 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(167(a,1),30(a,1,1)),flip(a)]. 340 R(1 / x,x,y) \ y = x * y. [hyper(151,a,168,a(flip))]. 341 R(1 / x,x,x \ y) = (x \ y) / y. [para(10(a,1),168(a,2,2))]. 342 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(168(a,1),27(a,2,1)),flip(a)]. 343 x * y != z | T(z / x,x) = y. [para(12(a,1),182(a,2))]. 344 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(98(a,1),182(a,2))]. 346 x * (y * (y \ 1)) != z * u | z \ x = u. [para(10(a,2),189(a,1,2))]. 347 x * (x \ y) != z * u | z \ y = u. [para(133(a,2),189(a,1))]. 348 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(237(a,1),203(a,1)),flip(a)]. 349 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(241(a,1),203(a,1)),flip(a)]. 350 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(244(a,1),203(a,1)),flip(a)]. 351 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(23(a,1),249(a,1,2))]. 352 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(25(a,2),249(a,1,2))]. 353 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(237(a,1),249(a,1,2))]. 358 T(x / y,y) != z | y \ x = z. [para(10(a,1),273(a,1,1,1)),flip(b)]. 359 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(333(a,1),269(a,1,1))]. 360 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(334(a,1),18(a,2,2,2))]. 361 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(74(a,1),340(a,1,1,1))]. 362 T(x,x \ y) != z | (x \ y) \ y = z. [para(74(a,1),358(a,1,1))]. 363 T(x \ y,x) != z | x \ T(y,x) = z. [para(214(a,1),358(a,1,1))]. 365 K(x \ y,x) != y \ z | (x \ y) * x = z. [para(82(a,1),46(a,1))]. 366 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(98(a,2),82(a,1,2))]. 367 T(x * y,x) != z | y * x = z. [para(102(a,1),266(a,1))]. 368 T(x,y) != z | (y \ x) * y = z. [para(10(a,1),367(a,1,1))]. 369 T(x,x / y) != z | y * (x / y) = z. [para(12(a,1),367(a,1,1))]. 370 T(x * y,y) != z | T(x,y) * y = z. [para(98(a,1),367(a,1,1))]. 371 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(104,a,18,a,b,135,a(flip))]. 372 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(104,a,18,a,b,134,a(flip))]. 373 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(104,a,144,a(flip),b,201,a(flip))]. 374 ((x * (x \ y)) / z) \ y = z. [hyper(104,a,10,a(flip),b,12,a)]. 375 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(105,a,20,a,b,138,a(flip))]. 376 x * T(x \ (y * x),z) = T(y,z) * x. [para(22(a,1),178(a,1,2,1))]. 377 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(178(a,2),43(a,1))]. 378 T(x / y,z) * y = y * T(y \ x,z). [para(100(a,1),178(a,1,2,1)),flip(a)]. 379 T(x * y,z) * x = x * T(y * x,z). [para(170(a,1),178(a,1,2,1)),flip(a)]. 380 T((x * y) / x,z) * x = x * T(y,z). [para(171(a,1),178(a,1,2,1)),flip(a)]. 381 x * T(x \ T(y,x),z) = T(x \ y,z) * x. [para(215(a,1),178(a,1,2,1))]. 382 (x * T(x \ y,z)) / x = T(y / x,z). [hyper(208,a,185,a)]. 383 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(185(a,1),280(a,1,1,2))]. 384 (x \ T(x * y,z)) * x = T(y * x,z). [hyper(368,a,202,a)]. 385 T(x * y,z) / y = y \ T(y * x,z). [hyper(105,a,202,a(flip),b,201,a(flip))]. 386 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(202(a,1),215(a,2,2))]. 388 (x * T(y,z)) / x = T((x * y) / x,z). [para(171(a,1),206(a,1,1,2,1))]. 389 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(206(a,1),273(a,1,1)),flip(b)]. 390 T(x,y) != T(z,u) | T((y * z) / y,u) = x. [para(207(a,1),48(a,2)),flip(b)]. 392 T(x,(y * x) / y) = x. [hyper(53,a,209,a)]. 393 ((x * y) / x) / y = y \ ((x * y) / x). [hyper(105,a,209,a(flip),b,201,a(flip))]. 394 (((x * y) / x) \ y) * ((x * y) / x) = y. [hyper(368,a,392,a)]. 395 x / ((y * x) / y) = ((y * x) / y) \ x. [hyper(105,a,392,a(flip),b,201,a(flip))]. 396 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(255(a,1),182(a,2))]. 397 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(256(a,1),266(a,1,2))]. 398 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [hyper(105,a,12,a(flip),b,88,a)]. 399 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(62,a,128,a(flip),b,88,a)]. 400 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(62,a,127,a(flip),b,88,a)]. 401 L(x,y,x) = x. [hyper(33,a,32,a,b,88,a),flip(a)]. 402 (x * (y * z)) / T(x * y,L(z,y,x)) = L(z,y,x). [hyper(105,a,88,a(flip),b,98,a)]. 403 L(x,y,z) \ (z * (y * x)) = T(z * y,L(x,y,z)). [hyper(104,a,88,a(flip),b,98,a)]. 404 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(88(a,1),18(a,2,2,2)),flip(a)]. 405 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(25(a,1),88(a,1,2))]. 406 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(29(a,2),88(a,1,2))]. 407 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(30(a,1),88(a,1,2))]. 408 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(88(a,1),42(a,1)),flip(a)]. 409 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(98(a,1),88(a,1,1))]. 410 (x * (y * z)) * K(L(z,y,x),x * y) = L(z,y,x) * (x * y). [para(88(a,1),81(a,1,1))]. 411 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(88(a,1),266(a,1,2))]. 412 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(307(a,1),88(a,1,2))]. 413 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(308(a,1),88(a,1,2))]. 414 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(310(a,1),88(a,1,2))]. 415 L(x,y,x) = L(x,z,x). [hyper(262,a,401,a,b,401,a)]. 416 L(x,y,x) = 1 / (1 / x). [hyper(262,a,232,a,b,401,a),flip(a)]. 417 a(x,y,x) = 1. [hyper(52,a,401,a)]. 418 L(x,y,L(x,z,u)) = x. [hyper(40,a,30,a,b,401,a(flip))]. 419 a(x,y,x) = a(z,u,z). [hyper(262,a,417,a,b,417,a)]. 420 a(x,y,x) \ z = z. [para(417(a,2),64(a,1,1))]. 421 T(x,a(y,z,y)) = x. [para(417(a,2),224(a,1,2))]. 422 L(x,y,a(z,u,z)) = x. [para(417(a,2),305(a,1,3))]. 423 L(x,a(y,z,y),u) = x. [para(417(a,2),312(a,1,2))]. 424 L(x,y,x) = a(z,u,z) \ x. [hyper(262,a,401,a,b,420,a)]. 425 x / a(y,z,y) = a(y,z,y) \ x. [hyper(358,a,421,a),flip(a)]. 426 T(a(x,y,x),z) = a(x,y,x). [hyper(53,a,421,a)]. 427 a(x,y,x) * z != u | z * a(x,y,x) = u. [para(421(a,1),249(a,1,2))]. 428 T(L(x,y,x),z) = L(T(x,z),u,x). [para(415(a,1),25(a,2,1)),flip(a)]. 429 R(L(x,y,x),z,u) = L(R(x,z,u),w,x). [para(415(a,1),29(a,1,1))]. 430 L(x,y,L(x,z,u)) = L(x,w,x). [hyper(262,a,401,a,b,418,a),flip(a)]. 431 L(x,y,a(z,u,z)) != w | x = w. [para(422(a,1),49(a,2))]. 432 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(422(a,1),88(a,1,2))]. 433 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [para(423(a,1),88(a,1,2))]. 434 L(x,y,x) \ 1 = 1 / x. [hyper(151,a,416,a(flip))]. 435 a(x,y,x) = (z \ 1) * z. [hyper(38,a,167,a(flip),b,424,a(flip)),flip(a)]. 436 T(a(x,y,x),z) = a(u,w,u). [hyper(262,a,419,a,b,426,a),flip(a)]. 437 a(x,y,x) * z = z * a(u,w,u). [para(436(a,1),98(a,1,2)),flip(a)]. 438 a(x,y,x) != z | a(u,w,u) = z. [para(436(a,1),227(a,1)),flip(b)]. 439 (a(x,y,x) \ z) * a(u,w,u) = z. [para(436(a,1),169(a,1,2))]. 442 a(x,y,x) \ z = z / T(a(u,w,u),v5). [para(436(a,2),425(a,1,2)),flip(a)]. 443 L(T(x,y),z,x) = L(T(x,y),u,x). [hyper(62,a,25,a,b,428,a)]. 444 x / a(y,z,y) != u | a(w,v5,w) \ x = u. [para(439(a,1),281(a,1,1)),flip(b)]. 445 R(L(T(x,y),z,x),u,w) = L(R(T(x,y),u,w),v5,x). [para(443(a,1),29(a,1,1))]. 446 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(262,a,135,a(flip),b,90,a),flip(a)]. 447 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(262,a,134,a(flip),b,90,a),flip(a)]. 448 L((x \ y) \ z,x \ y,x) = y \ (x * z). [para(10(a,1),90(a,2,1))]. 449 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(12(a,1),90(a,2,1))]. 450 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(90(a,1),25(a,2,1)),flip(a)]. 451 L(x \ y,x,z) * (z * x) = T(z * y,z * x). [para(90(a,2),201(a,2,1)),flip(a)]. 452 L(x \ y,x,x \ z) = T(z,x) \ ((x \ z) * y). [para(201(a,2),90(a,2,1))]. 453 L(x \ (1 / y),x,y) = (y * x) \ K(z,1 / z). [para(303(a,2),90(a,2,2))]. 454 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(88(a,1),90(a,2,1))]. 455 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(88(a,1),90(a,2,2))]. 456 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(104,a,128,a(flip),b,94,a)]. 457 R(x / y,y,z) \ (x * z) = y * z. [hyper(104,a,127,a(flip),b,94,a)]. 458 R(x,y,y \ z) * z = (x * y) * (y \ z). [hyper(62,a,129,a(flip),b,94,a)]. 459 R(x,y,x) = x. [hyper(34,a,32,a(flip),b,94,a),flip(a)]. 460 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(104,a,94,a(flip),b,88,a)]. 461 R(x,y / z,z) * y = (x * (y / z)) * z. [para(12(a,1),94(a,1,2))]. 462 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(94(a,1),20(a,2,1,1)),flip(a)]. 463 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(27(a,1),94(a,1,1))]. 464 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(29(a,1),94(a,1,1))]. 465 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(31(a,1),94(a,1,1))]. 466 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(94(a,1),43(a,1))]. 467 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [para(98(a,1),94(a,1,2))]. 468 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(94(a,1),81(a,1,1))]. 469 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(81(a,1),94(a,1,2))]. 470 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(94(a,1),281(a,1,1)),flip(b)]. 471 R(x,y,x) = R(x,z,x). [hyper(262,a,459,a,b,459,a)]. 472 R(x,y,x) = (x \ 1) \ 1. [hyper(262,a,231,a,b,459,a),flip(a)]. 473 a(x,y,x) \ R(z,u,z) = z. [hyper(62,a,420,a,b,459,a)]. 474 L(R(x,y,x),z,R(x,y,x)) = x. [hyper(62,a,401,a,b,459,a)]. 475 R(x,y,T(x,z)) = x. [hyper(39,a,27,a(flip),b,459,a(flip))]. 476 R(x,y,T(x,z)) = R(x,u,x). [hyper(262,a,459,a,b,475,a),flip(a)]. 477 R(x,y,x) != z | x = z. [para(471(a,1),329(a,1))]. 478 R(x,y,x) = a(z,u,z) * x. [hyper(119,a,473,a),flip(a)]. 479 R(x,y,x) = x * a(z,u,z). [para(473(a,1),439(a,1,1)),flip(a)]. 480 a(x,y,x) = z \ R(z,u,z). [hyper(104,a,478,a,b,437,a(flip)),flip(a)]. 481 L(R(x,y,x),z,x) = x. [para(459(a,1),474(a,1,3))]. 483 R(L(x,y,x),z,x) = x. [hyper(62,a,29,a,b,481,a)]. 485 R(x / (1 / y),1 / y,y) = x * y. [hyper(262,a,139,a(flip),b,95,a),flip(a)]. 486 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(262,a,138,a(flip),b,95,a),flip(a)]. 487 R((x / y) / z,z,y) = x / (z * y). [hyper(262,a,130,a(flip),b,95,a),flip(a)]. 488 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(10(a,1),95(a,2,1))]. 489 R(x / (y / z),y / z,z) = (x * z) / y. [para(12(a,1),95(a,2,2))]. 490 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(168(a,2),95(a,1,1))]. 491 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(94(a,1),95(a,2,1))]. 492 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(94(a,1),95(a,2,2))]. 493 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(95(a,2),95(a,1,1))]. 494 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(81(a,1),147(a,1,2,1))]. 495 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(88(a,1),147(a,1,2,1))]. 496 (x * y) / L(z,y / z,x) = x * (y / z). [para(12(a,1),149(a,1,1,2))]. 497 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(104,a,30,a,b,192,a)]. 498 (L(x,y,z) \ 1) * x = L(x,y,z) \ x. [hyper(104,a,418,a(flip),b,192,a),flip(a)]. 499 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(104,a,30,a,b,194,a)]. 500 (1 / x) * (x * y) = L(y,x,x \ 1). [para(230(a,1),194(a,2,3))]. 501 (x * y) * (y \ 1) = R(x,y,1 / y). [para(230(a,2),195(a,2,3))]. 502 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(105,a,29,a(flip),b,197,a)]. 503 (x * (1 / y)) * y = R(x,y \ 1,y). [para(230(a,1),197(a,2,2))]. 504 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(253(a,1),30(a,1,1)),flip(a)]. 505 x * y != z * u | z \ (x * y) = u. [para(11(a,1),264(a,1,1))]. 507 1 * x != y * z | y \ x = z. [para(71(a,1),264(a,1,1))]. 510 (x * (x \ 1)) * y != z * u | z \ y = u. [para(10(a,2),507(a,1,1))]. 512 x * 1 != y * z | x / z = y. [para(65(a,1),265(a,1,2))]. 514 ((1 / x) * x) * y != z * u | y / u = z. [para(135(a,1),265(a,1,2))]. 515 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(132(a,1),265(a,1,2))]. 516 x * ((1 / y) * y) != z * u | x / u = z. [para(12(a,2),512(a,1,2))]. 518 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(335(a,1),141(a,1,2))]. 519 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(336(a,1),25(a,2,1)),flip(a)]. 520 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(341(a,2),95(a,1,1))]. 521 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(10(a,2),347(a,1,2))]. 523 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(132(a,1),347(a,1,2))]. 525 R(x \ 1,x,y) \ y = ((x \ 1) \ 1) * y. [para(231(a,1),361(a,1,1,2))]. 526 (1 / x) \ L(y,x,x \ 1) = x * y. [para(230(a,1),371(a,1,2,3))]. 527 x \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [para(231(a,2),372(a,2,1))]. 529 L(x \ y,x,x \ 1) = (1 / x) * y. [para(230(a,1),446(a,1,3))]. 530 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(447(a,1),25(a,2,1))]. 531 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(447(a,1),29(a,1,1)),flip(a)]. 532 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(447(a,1),141(a,1,2))]. 533 (x * y) / (z * y) != u | R(x / z,z,y) = u. [para(457(a,1),277(a,1,2))]. 534 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(485(a,1),27(a,2,1))]. 535 R(x / (1 / y),y \ 1,y) = x * y. [para(230(a,1),485(a,1,2))]. 536 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(98(a,1),500(a,1,2)),flip(a)]. 537 (x \ 1) * (x * y) = L(y,x,x \ 1). [para(230(a,1),500(a,1,1))]. 538 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(127(a,2),505(a,1))]. 539 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(128(a,2),505(a,1))]. 540 (x \ 1) \ L(y,x,x \ 1) = x * y. [para(230(a,1),526(a,1,1))]. 541 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [para(74(a,1),529(a,2,1))]. 542 L(x \ y,x,x \ 1) = (x \ 1) * y. [para(230(a,1),529(a,2,1))]. 543 L(x,y,y \ 1) \ (((y \ 1) * y) * x) = a(y \ 1,y,x). [para(537(a,1),14(a,2,1)),flip(a)]. 544 T(L(x,y,y \ 1),y \ 1) = (y * x) * (y \ 1). [para(537(a,1),170(a,1,1))]. 546 L(L(x \ y,z,u),x,x \ 1) = L((x \ 1) * y,z,u). [para(542(a,1),30(a,1,1)),flip(a)]. 547 x \ (L(y,z,x) * (x * z)) = z * T(y,x * z). [hyper(104,a,179,a(flip),b,88,a(flip))]. 548 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(179(a,1),14(a,2,1,2)),flip(a)]. 549 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(27(a,2),179(a,1,2,1))]. 551 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(100(a,1),179(a,1,2,1)),flip(a)]. 552 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(171(a,1),179(a,1,2,1)),flip(a)]. 554 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(262,a,94,a(flip),b,180,a),flip(a)]. 555 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(104,a,94,a(flip),b,180,a)]. 557 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(100(a,1),180(a,1,2,1)),flip(a)]. 558 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(171(a,1),180(a,1,2,1)),flip(a)]. 559 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(99(a,1),180(a,1,2,1))]. 560 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [hyper(208,a,186,a)]. 561 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(486(a,1),186(a,1,1)),flip(a)]. 562 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(487(a,1),186(a,1,1)),flip(a)]. 563 K(x \ 1,x) * y = y * K(z \ 1,z). [para(236(a,1),243(a,1,1))]. 564 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,x \ y)). [hyper(104,a,260,a(flip),b,81,a)]. 567 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [hyper(191,a,261,a),flip(a)]. 568 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,T(x,x \ y)). [hyper(104,a,261,a(flip),b,88,a)]. 570 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(263(a,1),43(a,1))]. 571 ((x / y) * y) * z != u | x * z = u. [para(263(a,1),250(a,1)),flip(b)]. 572 (x * (x \ y)) * z != u | y * z = u. [para(74(a,1),571(a,1,1,1))]. 573 (x / (y \ x)) * z != u | y * z = u. [para(146(a,2),572(a,1,1))]. 574 ((x / y) \ x) * z != u | y * z = u. [para(153(a,2),572(a,1,1))]. 579 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(382(a,1),250(a,1,1)),flip(b)]. 580 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(382(a,1),273(a,1,1)),flip(b)]. 582 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(10(a,1),384(a,1,1,2,1)),flip(a)]. 584 x * (T(y * x,z) / x) = T(x * y,z). [para(384(a,1),73(a,1,2,1))]. 585 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(384(a,1),281(a,1,1)),flip(b)]. 586 T((x \ y) * x,z) / x = x \ T(y,z). [para(10(a,1),385(a,2,2,1))]. 587 x \ T(x * (y / x),z) = T(y,z) / x. [para(12(a,1),385(a,1,1,1)),flip(a)]. 588 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(388(a,2),98(a,1,2))]. 589 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(100(a,1),388(a,1,1,2)),flip(a)]. 590 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(388(a,1),250(a,1,1)),flip(b)]. 591 x * (((y * x) / y) / x) = (y * x) / y. [hyper(119,a,393,a(flip))]. 592 x * ((y * z) / y) != z | ((y * z) / y) \ z = x. [para(394(a,1),43(a,1)),flip(a)]. 593 T(x * y,(x \ 1) \ y) = x * y. [hyper(53,a,532,a)]. 594 T((x \ 1) * y,x \ y) = (x \ 1) * y. [para(231(a,1),593(a,1,2,1))]. 595 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [hyper(104,a,582,a,b,98,a)]. 596 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(582(a,2),43(a,1))]. 597 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(582(a,1),98(a,1,2))]. 598 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(582(a,2),83(a,1,1))]. 599 T(x * (y / x),z) = x * (T(y,z) / x). [para(12(a,1),584(a,1,2,1,1)),flip(a)]. 600 T(x,y) != z * (T(u * z,y) / z) | z * u = x. [para(584(a,2),48(a,1)),flip(a)]. 601 T(x * y,y) = x * ((x * y) / x). [para(170(a,1),584(a,1,2,1)),flip(a)]. 602 x \ T(x * y,z) != u | T(y * x,z) / x = u. [para(584(a,1),266(a,1,2))]. 603 T(x,y) * y = x * ((x * y) / x). [hyper(370,a,601,a)]. 604 T(x,x \ y) * (x \ y) = x * (y / x). [para(10(a,1),603(a,2,2,1))]. 607 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(213(a,1),586(a,1,1,1))]. 611 K((x \ 1) * y,x \ y) = 1. [hyper(54,a,594,a)]. 612 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(100(a,1),599(a,2,2,1))]. 613 x \ T(x * (y / x),z) != u | T(y,z) / x = u. [para(599(a,2),266(a,1,2))]. 614 (x * (y / x)) \ (T(x,x \ y) * ((x \ y) * z)) = L(z,x \ y,T(x,x \ y)). [para(604(a,1),18(a,2,1)),flip(a)]. 615 T(x * (y * z),a(x,y,z)) = a(x,y,z) \ ((x * y) * z). [hyper(181,a,79,a,b,10,a)]. 616 (x * y) / a(z,z \ x,y) = z * ((z \ x) * y). [hyper(105,a,128,a(flip),b,79,a)]. 617 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(10(a,1),79(a,1,1,2))]. 618 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(79(a,1),266(a,1,2))]. 621 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(98(a,1),89(a,1,2,2)),flip(a)]. 622 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(93(a,2),374(a,1,1))]. 623 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(211(a,1),96(a,1,1,1)),flip(a)]. 624 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(195(a,1),166(a,1,2))]. 625 a(x,y \ 1,(y \ 1) \ 1) = x \ R(x,y \ 1,y). [para(231(a,1),624(a,1,2,3)),flip(a)]. 626 L(T(x,y),y,x) = T(x,x * y). [hyper(270,a,176,a),flip(a)]. 627 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(262,a,25,a(flip),b,176,a),flip(a)]. 628 L(T(x,y),z,x) = T(x,x * y). [hyper(62,a,443,a,b,626,a)]. 629 T(L(x,y,x),z) = T(x,x * z). [hyper(62,a,428,a,b,626,a)]. 630 T(x,x * y) = T(x,y). [hyper(320,a,628,a)]. 631 (x * y) * R(L(T(x,y),z,x),u,w) = R(x,u,w) * (x * y). [para(628(a,2),180(a,1,2,1))]. 632 L(T(x,y),z,T(x,y)) = T(x,x * y). [hyper(262,a,401,a,b,630,a)]. 633 T(x,x \ y) = T(x,y). [para(10(a,1),630(a,1,2)),flip(a)]. 634 T(x,y) = (x \ y) \ y. [hyper(362,a,633,a),flip(a)]. 635 T(x,x \ R(x,y,z)) = x. [hyper(262,a,140,a(flip),b,633,a),flip(a)]. 636 (x \ y) * T(x,y) = y. [para(633(a,1),169(a,1,2))]. 637 x / T(y,x) = y \ x. [para(633(a,1),199(a,1,2))]. 638 T(x,y) != z | (x \ y) \ y = z. [para(633(a,1),362(a,1))]. 639 (x \ y) * L(T(x,y),z,u) = L(x,z,u) * (x \ y). [para(633(a,1),179(a,1,2,1))]. 640 T(x / (x / y),x) = y. [hyper(262,a,155,a(flip),b,634,a),flip(a)]. 641 (R(x,y,z) \ u) \ u = R(T(x,u),y,z). [hyper(62,a,27,a,b,634,a),flip(a)]. 642 T(x / y,x) = y \ x. [para(77(a,1),634(a,2,1))]. 643 (T(x,y) / y) \ x = T(y,x). [para(214(a,2),634(a,2,1)),flip(a)]. 644 x / T(y,x) != z | y \ x = z. [para(634(a,2),277(a,1,2))]. 645 L(x \ 1,x,y) \ y = T(y * x,y). [para(167(a,2),634(a,2,1)),flip(a)]. 646 T(x \ y,y) = T(x,y) \ y. [para(634(a,2),634(a,2,1))]. 647 T(x,y) / y = x / T(y,x). [hyper(262,a,214,a,b,637,a)]. 648 x / T(T(y,x),z) = T(y,z) \ x. [para(23(a,1),637(a,1,2))]. 649 R(x,y,z) / x = x \ R(x,y,z). [para(140(a,1),637(a,1,2))]. 650 x / (x \ y) = (y / x) \ x. [para(100(a,1),637(a,1,2))]. 651 x / (y * x) = (x * y) \ x. [para(170(a,1),637(a,1,2))]. 652 ((x * y) / x) \ x = x / y. [para(171(a,1),637(a,1,2)),flip(a)]. 653 (x / T(y,x)) * y = T(x,y). [para(637(a,2),201(a,2,1)),flip(a)]. 654 T(x / (x / y),x) = L(y,z,y). [hyper(262,a,401,a,b,640,a),flip(a)]. 655 L(x \ y,z,x \ y) = T(y / x,y). [hyper(262,a,401,a,b,642,a)]. 656 (x \ y) / y = y \ (y / x). [hyper(105,a,642,a(flip),b,201,a(flip))]. 657 T(T(x / y,z),x) = T(y \ x,z). [para(642(a,1),23(a,1,1)),flip(a)]. 658 (x / y) * x = x * (y \ x). [para(642(a,1),98(a,1,2)),flip(a)]. 659 T((x * y) \ x,x) = (y * x) \ x. [para(170(a,1),646(a,2,1))]. 660 x \ y != y / (y \ z) | z / y = x. [para(650(a,2),47(a,1)),flip(a)]. 661 (x * (y / x)) \ x = x / y. [para(12(a,1),651(a,1,2)),flip(a)]. 664 x / (x / y) = x * (y / x). [hyper(156,a,661,a)]. 665 (x * y) / x = x * (y / x). [hyper(38,a,652,a,b,661,a)]. 666 x \ y != y / z | y * (z / y) = x. [para(661(a,1),47(a,1)),flip(a)]. 667 x / (x / y) != z | x * (y / x) = z. [para(661(a,1),277(a,1,2))]. 668 x * ((y * (x / y)) \ y) = x / (x / y). [para(661(a,2),664(a,2,2)),flip(a)]. 669 (x * y) / x != x * z | y / x = z. [para(665(a,2),42(a,1))]. 670 T(x * y,y) = x * (x * (y / x)). [para(665(a,1),601(a,2,2))]. 671 T((x * y) / x,y * x) = L(y,z,y). [hyper(39,a,207,a,b,629,a)]. 672 T(L(L(x,y,x),z,u),w) = L(T(x,x * w),z,u). [para(629(a,1),25(a,1,1)),flip(a)]. 673 x / (y * x) != z | (x * y) \ x = z. [para(170(a,1),644(a,1,2))]. 674 ((x * y) / x) / y != z | y \ ((x * y) / x) = z. [para(392(a,1),644(a,1,2))]. 675 T(x,y) \ z != z / u | T(T(x,z),y) = u. [para(648(a,1),44(a,1))]. 676 T(x / (x / y),z) \ x = x / T(y,z). [para(640(a,1),648(a,1,2,1)),flip(a)]. 677 (T(x / y,z) \ x) \ x = T(y \ x,z). [hyper(638,a,657,a)]. 678 x / T(y \ x,z) != u | T(x / y,z) \ x = u. [para(657(a,1),644(a,1,2))]. 679 R(T(x,x * y),z,T(x,y)) = T(x,y). [para(632(a,1),483(a,1,1))]. 680 L(x \ 1,x,y) \ y = x * y. [hyper(262,a,170,a(flip),b,645,a),flip(a)]. 681 (x \ 1) \ L(x \ 1,y,z) = x * L(x \ 1,y,z). [para(418(a,1),680(a,1,1))]. 682 T(x / y,x) != z | y \ x = z. [para(655(a,1),313(a,1))]. 683 T(T((x * y) / x,z),y * x) = T(L(y,u,y),z). [para(671(a,1),23(a,1,1)),flip(a)]. 684 R(T(x,y),z,x) = (x \ y) \ y. [para(459(a,1),641(a,1,1,1)),flip(a)]. 685 R(T(x,y),z,T(x,u)) = (x \ y) \ y. [para(475(a,1),641(a,1,1,1)),flip(a)]. 686 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(642(a,1),641(a,2,1))]. 687 R(T(x,y),z,T(x,u)) = R(T(x,y),w,x). [hyper(262,a,684,a,b,685,a),flip(a)]. 688 T(x / (x / y),y \ x) = y. [hyper(288,a,676,a),flip(a)]. 689 x / (x / T(y,z)) = T(x / (x / y),z). [hyper(156,a,676,a)]. 690 x \ y != y / T(z,u) | T(y / (y / z),u) = x. [para(676(a,1),47(a,1)),flip(a)]. 691 ((x \ y) * x) / (x \ y) = y / (y / x). [hyper(208,a,688,a)]. 692 T(x / (x / (x / y)),y) = x / y. [para(77(a,1),688(a,1,2))]. 693 ((x \ y) * x) / (x \ y) != z | y / (y / x) = z. [para(688(a,1),280(a,1,1,2))]. 694 (x * (y / x)) / x = y / (y / (y / x)). [hyper(208,a,692,a)]. 695 T(x \ y,z) != u \ y | T(y / x,z) \ y = u. [para(677(a,1),47(a,1))]. 696 T((x \ y) \ y,z) = (T(x,z) \ y) \ y. [para(74(a,1),677(a,1,1,1,1)),flip(a)]. 697 T(x \ y,x) = ((x \ y) \ y) \ y. [para(100(a,1),677(a,1,1,1)),flip(a)]. 698 T(x \ y,x) = T(x,y) \ y. [para(634(a,2),697(a,2,1))]. 699 T(x,y) \ y = x \ T(y,x). [hyper(363,a,698,a),flip(a)]. 700 T(x,y) * (x \ T(y,x)) = y. [hyper(119,a,699,a)]. 701 T(x,y) / (T(y,x) \ x) = y. [hyper(156,a,699,a(flip))]. 702 x * (T(x,y) \ y) = T(y,x). [hyper(119,a,699,a(flip))]. 703 x * (T(x,y) \ y) != z | T(y,x) = z. [para(699(a,2),190(a,1,2)),flip(b)]. 704 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,z). [para(23(a,1),701(a,1,2,1))]. 705 x * T(x \ y,y) = T(y,x). [para(646(a,2),702(a,1,2))]. 707 R(T(x,x * y),z,x) = T(x,y). [hyper(62,a,679,a(flip),b,687,a),flip(a)]. 708 R(T(x,x * y),z,T(x,u)) = T(x,y). [hyper(62,a,687,a,b,707,a)]. 710 R(x,y,x) * (x * z) = (x * z) * T(x,z). [para(707(a,1),180(a,1,2)),flip(a)]. 711 T(x / (x / (y / z)),z) = x / (x / (z \ y)). [para(100(a,1),689(a,1,2,2)),flip(a)]. 712 T(((x / y) \ z) \ z,y) = ((y \ x) \ z) \ z. [para(100(a,1),696(a,2,1,1))]. 713 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(135(a,1),337(a,1,1)),flip(a)]. 714 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(337(a,2),88(a,1,2))]. 715 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(358,a,342,a),flip(a)]. 716 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(22(a,1),351(a,1,2,1))]. 718 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(62,a,179,a(flip),b,399,a),flip(a)]. 719 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(399(a,1),42(a,1))]. 720 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(399(a,1),266(a,1,2))]. 721 L(x \ y,x,y / x) = T(y / x,y). [hyper(181,a,129,a(flip),b,400,a),flip(a)]. 722 x * L(L(y,z,x / z),u,w) = (x / z) * (z * L(y,u,w)). [para(30(a,1),400(a,1,2))]. 723 a(x,y,x) * z != u | z * a(w,v5,w) = u. [para(419(a,1),427(a,1,1))]. 724 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(431,a,448,a)]. 725 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(448(a,1),25(a,2,1))]. 726 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(448(a,1),29(a,1,1)),flip(a)]. 727 L(L((x \ y) \ z,u,w),x \ y,x) = L(y \ (x * z),u,w). [para(448(a,1),30(a,1,1)),flip(a)]. 728 T((x \ y) \ z,y \ (x * z)) = (x \ y) \ z. [para(448(a,1),141(a,1,2))]. 729 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(18(a,2),449(a,1,1))]. 730 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(456(a,1),277(a,1,2))]. 731 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(489(a,1),27(a,2,1))]. 732 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(489(a,1),31(a,1,1)),flip(a)]. 733 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(489(a,1),186(a,1,1)),flip(a)]. 734 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(307(a,1),496(a,1,2))]. 735 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(422(a,1),496(a,1,2))]. 736 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(536(a,1),179(a,1,2))]. 737 R(x \ y,x,1 / x) = T(y * (x \ 1),x). [para(230(a,2),561(a,1,3))]. 738 T(x / (y * z),y) * (y * z) = ((y \ (x / z)) * y) * z. [para(562(a,1),94(a,1,1))]. 739 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(12(a,1),627(a,1,1)),flip(a)]. 740 R(x,y,x) = ((x * z) * T(x,z)) / (x * z). [hyper(115,a,710,a),flip(a)]. 741 ((x * y) * T(x,y)) / (x * y) != z | R(x,u,x) = z. [para(710(a,1),281(a,1,1)),flip(b)]. 742 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(262,a,100,a(flip),b,713,a),flip(a)]. 743 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(262,a,27,a,b,101,a)]. 744 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(29(a,2),248(a,1,2))]. 746 R(x,y,y \ z) * z != u | (x * y) * (y \ z) = u. [para(10(a,1),252(a,1,2))]. 747 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(29(a,1),252(a,1,1))]. 749 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(98(a,1),252(a,1,2))]. 750 T(x,y) * z != (x \ T(x,y)) * (x * u) | L(u,x,x \ T(x,y)) = z. [para(211(a,1),408(a,1,1))]. 751 (x * y) \ (y * (T(x,y) * z)) != u | L(z,T(x,y),y) = u. [para(98(a,1),411(a,1,1))]. 752 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(98(a,1),411(a,1,2,2))]. 754 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) != w | L(u,z,(x \ y) \ y) = w. [para(261(a,2),411(a,1,1))]. 756 a(x,y,x) * (z * u) = (z * a(w,v5,w)) * u. [para(437(a,1),432(a,1,1)),flip(a)]. 757 (x * a(y,z,y)) * u = x * (a(w,v5,w) * u). [para(419(a,1),433(a,1,1,2))]. 758 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(211(a,1),470(a,1,1,1))]. 759 (x * y) / z != u | R(x / (z / y),z / y,y) = u. [para(12(a,1),533(a,1,2))]. 760 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [hyper(115,a,551,a)]. 761 L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w). [para(95(a,2),551(a,1,1,1))]. 762 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(115,a,552,a),flip(a)]. 763 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(105,a,88,a(flip),b,552,a),flip(a)]. 764 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(168(a,1),557(a,1,1))]. 765 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(252,a,558,a)]. 766 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(115,a,558,a),flip(a)]. 767 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(105,a,558,a(flip),b,94,a(flip))]. 768 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(95(a,1),558(a,1,1))]. 769 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(18(a,2),560(a,1,1,2,1))]. 770 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(560(a,1),250(a,1,1)),flip(b)]. 771 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(100(a,1),588(a,1,2,1,2)),flip(a)]. 772 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [hyper(208,a,589,a)]. 773 x * ((y * (x \ z)) / y) != u | ((y * (z / x)) / y) * x = u. [para(589(a,1),249(a,1,2))]. 774 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(100(a,1),597(a,1,2,1,2)),flip(a)]. 775 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(612(a,1),98(a,1,2)),flip(a)]. 777 x / R(y \ x,z,u) = R(x / y,z,u) \ x. [hyper(156,a,686,a)]. 778 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [para(168(a,1),686(a,1,1,1)),flip(a)]. 779 (x * (y / (y / (x \ z)))) / x = y / (y / (z / x)). [hyper(208,a,711,a)]. 780 (x * (((x \ y) \ z) \ z)) / x = ((y / x) \ z) \ z. [hyper(208,a,712,a)]. 781 T(((x / y) \ z) \ z,y) != u \ z | (y \ x) \ z = u. [para(712(a,2),47(a,1))]. 783 R(x,y,x) \ (a(z,u,z) * w) = x \ w. [para(473(a,1),724(a,1,1)),flip(a)]. 784 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(10(a,1),735(a,1,1)),flip(a)]. 786 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(100(a,1),743(a,1,1,1)),flip(a)]. 787 (x * a(y,z,y)) * u = (x * u) * a(w,v5,w). [hyper(723,a,756,a),flip(a)]. 788 a(x,y,x) \ (z \ u) = (z * a(w,v5,w)) \ u. [hyper(104,a,70,a(flip),b,757,a),flip(a)]. 789 ((x / y) * L(y,z,u)) / (x / y) = L(x / (x / y),z,u). [para(77(a,1),760(a,1,1,2,1))]. 790 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(90(a,1),760(a,1,1,2))]. 791 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(253(a,1),760(a,1,1,2)),flip(a)]. 792 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(446(a,1),760(a,1,1,2))]. 793 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(762(a,2),250(a,1,1)),flip(b)]. 794 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(762(a,1),88(a,1,2))]. 795 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(336(a,1),762(a,2,1,2))]. 796 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(448(a,1),762(a,2,1,2))]. 797 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(766(a,2),250(a,1,1)),flip(b)]. 798 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(168(a,1),766(a,2,1,2))]. 800 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(766(a,1),252(a,1,1))]. 801 R(x / (x / y),z,u) \ x = x / R(y,z,u). [para(77(a,1),777(a,1,2,1)),flip(a)]. 802 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(108,a,784,a),flip(a)]. 804 (x * y) * a(z,u,z) = x * (a(w,v5,w) * y). [hyper(62,a,757,a(flip),b,787,a),flip(a)]. 805 R(x,y,x) * z = (x * z) * a(u,w,u). [para(479(a,2),787(a,1,1))]. 806 a(x,y,x) \ (z \ u) = (a(w,v5,w) * z) \ u. [para(437(a,2),788(a,2,1))]. 807 R(T(x / (x / y),z),u,w) \ x = x / R(T(y,z),u,w). [para(689(a,1),801(a,1,1,1))]. 809 T(x * y,x) = a(z,u,z) * (y * x). [hyper(181,a,79,a(flip),b,804,a(flip))]. 810 (x * y) * a(z,u,z) = x * (y * a(w,v5,w)). [para(437(a,1),804(a,2,2))]. 811 (x * y) * a(z,u,z) = x * R(y,w,y). [para(478(a,2),804(a,2,2))]. 812 T(x * y,x) = (y * x) * a(z,u,z). [hyper(262,a,437,a(flip),b,809,a),flip(a)]. 813 T(x * y,x) / x = y * a(z,u,z). [hyper(105,a,809,a,b,756,a(flip))]. 814 T(x,y) / y = (y \ x) * a(z,u,z). [para(10(a,1),813(a,1,1,1))]. 815 x * R(y,z,y) = T(y * x,y). [hyper(62,a,812,a,b,811,a),flip(a)]. 816 (x \ T(x * y,y)) * x = x * R(y,z,y). [hyper(262,a,384,a,b,815,a)]. 817 x * R(y,z,T(y,u)) = T(y * x,y). [para(476(a,2),815(a,1,2))]. 818 T(T(x * y,x) / y,y) = R(x,z,T(x,u)). [hyper(343,a,817,a)]. 821 R(x,y,a(z,u,z)) = x. [hyper(466,a,810,a)]. 822 x / a(y,z,y) = (x / (u * a(w,v5,w))) * u. [hyper(105,a,12,a(flip),b,810,a)]. 823 R(x,y,1) = x. [para(324(a,1),821(a,1,3))]. 824 R(x,y,T(a(z,u,z),w)) = x. [para(436(a,2),821(a,1,3))]. 825 R(x,y,K(z \ 1,z)) = x. [para(235(a,2),823(a,1,3))]. 826 R(x,y,K(z,z \ 1)) = x. [para(240(a,2),823(a,1,3))]. 827 R(x,y,K(z \ 1,z)) != u | x = u. [para(825(a,1),50(a,2))]. 828 R(x,y,K(z,1 / z)) = x. [para(77(a,1),825(a,1,3,1))]. 829 R(x,y,K(1 / z,z)) = x. [para(230(a,2),825(a,1,3,1))]. 830 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(825(a,1),94(a,1,1)),flip(a)]. 831 x \ (y * K(z \ 1,z)) = (x \ y) * K(z \ 1,z). [para(825(a,1),456(a,1,1))]. 832 R(x,y,K(z,z \ 1)) != u | x = u. [para(826(a,1),50(a,2))]. 833 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(826(a,1),456(a,1,1))]. 834 R(x,y,K(z,1 / z)) != u | u = x. [para(828(a,1),50(a,1)),flip(a)]. 835 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(828(a,1),94(a,1,1)),flip(a)]. 836 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(829(a,1),94(a,1,1)),flip(a)]. 837 (x / T(a(y,z,y),u)) / w = x / (w * T(a(y,z,y),u)). [hyper(62,a,487,a(flip),b,824,a),flip(a)]. 838 a(x,y,x) \ z = (z / (u * a(w,v5,w))) * u. [hyper(444,a,822,a)]. 839 a(x,y,x) \ z = (z / R(u,w,u)) * u. [para(479(a,2),838(a,2,1,2))]. 840 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(699(a,1),80(a,1,1,2,1))]. 841 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(262,a,90,a(flip),b,338,a),flip(a)]. 842 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(338(a,1),88(a,1,2))]. 843 x * K(y \ 1,y) != z | K(u \ 1,u) * x = z. [para(236(a,1),348(a,1,2))]. 845 K(x \ 1,x) * y != z | y * K(u \ 1,u) = z. [para(236(a,1),353(a,1,1))]. 846 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(90(a,1),405(a,1,2,1))]. 847 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(253(a,1),405(a,1,2,1))]. 848 (x * y) * T(T(x,x * z),u) = x * (y * T(T(x,z),u)). [para(628(a,1),405(a,1,2,1))]. 849 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(450(a,2),248(a,1,2))]. 850 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(95(a,1),463(a,1,1,1))]. 851 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(34,a,380,a,b,467,a)]. 852 (T(x,x * y) * z) * T(x,z) = T(x,y) * (x * z). [para(708(a,1),467(a,1,1)),flip(a)]. 853 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(519(a,2),400(a,1,2)),flip(a)]. 854 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(104,a,530,a(flip),b,192,a),flip(a)]. 855 T(x / (1 / y),z) * (1 / y) = T(x * y,z) / y. [hyper(105,a,534,a(flip),b,197,a),flip(a)]. 856 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(554(a,1),42(a,1)),flip(a)]. 857 R(T(x,y * z),y,z) * (y * z) = T((x * y) * z,y * z). [para(554(a,1),170(a,1,1)),flip(a)]. 858 R(T(x,y * z),y,z) != (y * z) \ u | (x * y) * z = u. [para(555(a,1),46(a,1))]. 861 (x \ y) \ T((x \ y) * x,z) != u | T(y,z) / (x \ y) = u. [para(74(a,1),613(a,1,2,1,2))]. 862 (x * y) / a(z,z \ y,T(x,y)) = z * ((z \ y) * T(x,y)). [para(98(a,1),616(a,1,1))]. 863 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(105,a,617,a(flip),b,98,a)]. 864 T(L(L(x,y,x),z,u),w) = T(L(x,z,u),x * w). [hyper(262,a,25,a(flip),b,672,a),flip(a)]. 865 T(T((x * y) / x,z),y * x) = L(T(y,z),u,y). [hyper(262,a,25,a,b,683,a),flip(a)]. 866 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(736(a,1),394(a,1,1,1,1))]. 867 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(449(a,1),739(a,1,1)),flip(a)]. 868 R(x,y,z) = T(((y * x) * z) / (y * z),y). [hyper(181,a,768,a,b,xx),flip(a)]. 869 ((x * y) * y) / (x * y) = x \ T(x * y,y). [hyper(34,a,816,a,b,768,a),flip(a)]. 871 T(x,y) != R(z,y,u) | ((y * z) * u) / (y * u) = x. [para(868(a,2),48(a,1)),flip(a)]. 872 T(R(x,y,x),y * x) = T(x,y). [para(868(a,2),207(a,1,1))]. 873 R(T(x,y * x),y,x) = T(x,y). [hyper(62,a,27,a,b,872,a)]. 875 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(872(a,1),180(a,1,2,1)),flip(a)]. 876 T(x,y) = (x \ (y * x)) \ (y * x). [hyper(62,a,684,a(flip),b,873,a),flip(a)]. 877 T(x,y * x) = T(x,x * y). [hyper(41,a,707,a,b,873,a),flip(a)]. 878 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(62,a,27,a,b,877,a)]. 879 T(x,x * (y / x)) = T(x,y). [para(12(a,1),877(a,1,2)),flip(a)]. 880 T(T(x,x * y),z) = T(T(x,z),y * x). [para(877(a,1),23(a,1,1))]. 882 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(584(a,1),879(a,1,2)),flip(a)]. 883 T(x,x / (x / y)) = T(x,y). [para(664(a,2),879(a,1,2))]. 884 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(879(a,1),700(a,1,1))]. 885 T(x,x / y) = T(x,y \ x). [para(74(a,1),883(a,1,2,2))]. 886 T(x,x / (x / y)) * y = x * ((x * y) / x). [para(883(a,2),603(a,1,1))]. 887 T(x,y \ x) = y * (x / y). [hyper(369,a,885,a),flip(a)]. 888 T(x,y \ x) \ y = y / x. [para(887(a,2),661(a,1,1))]. 889 T(T(x,y),y \ x) = x. [hyper(675,a,888,a)]. 890 T(x \ y,x \ (x \ y)) = y / x. [hyper(660,a,888,a),flip(a)]. 891 x \ y != y / z | T(z,y \ z) = x. [para(888(a,1),47(a,1)),flip(a)]. 892 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(389,a,880,a),flip(a)]. 893 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(892(a,2),389(a,1))]. 894 T(x,x / (x / y)) * y = ((x / z) * z) * ((x * y) / x). [hyper(262,a,127,a,b,886,a),flip(a)]. 895 K(x \ 1,x) * ((y * K(x \ 1,x)) \ z) = y \ z. [hyper(318,a,791,a),flip(a)]. 896 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(22(a,2),791(a,2,1,2))]. 897 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(39,a,818,a,b,851,a),flip(a)]. 898 T(T(x * y,x) / y,x * y) = x. [para(897(a,1),171(a,1,1))]. 900 T(T(x,x / y) / y,(x / y) * y) = x / y. [para(12(a,1),898(a,1,1,1,1))]. 901 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(195(a,1),898(a,1,1,1,1))]. 902 T(T(x,x / y) / y,x) = x / y. [para(12(a,1),900(a,1,2))]. 903 T(T(x,y \ x) / y,x) = x / y. [para(885(a,1),902(a,1,1,1))]. 904 T(L(L(x,y,z),u,x),w) = T(L(x,y,z),x * w). [para(30(a,1),864(a,1,1))]. 905 (x * y) * T(L(x,z,u),x * w) = x * (y * T(L(x,z,u),w)). [para(904(a,1),405(a,1,2))]. 906 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(412(a,1),20(a,2,1,1)),flip(a)]. 908 K(x \ 1,x) * (y * z) = (y * K(u \ 1,u)) * z. [para(563(a,1),412(a,1,1)),flip(a)]. 909 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(466,a,413,a)]. 910 (K(x,x \ 1) * y) * z = (y * z) * K(x,x \ 1). [hyper(262,a,245,a(flip),b,413,a),flip(a)]. 912 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(245(a,1),413(a,1,1))]. 913 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(262,a,247,a(flip),b,414,a),flip(a)]. 914 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [hyper(105,a,76,a(flip),b,414,a),flip(a)]. 915 L(R(T(x,y),z,u),w,x) = L(R(T(x,y),z,u),v5,x). [hyper(62,a,445,a(flip),b,445,a)]. 916 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [para(231(a,1),625(a,1,3)),flip(a)]. 917 (x \ 1) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z). [hyper(119,a,681,a)]. 920 R(x,y,x) != z | R(x,u,x) = z. [para(740(a,2),741(a,1))]. 921 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(95(a,2),771(a,1,1,1,2))]. 922 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(9(a,1),772(a,1,1,2,1,2))]. 925 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [hyper(115,a,774,a)]. 926 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(9(a,1),775(a,2,2,2,1))]. 927 (x * (y / (y / z))) / x = y / (y / ((x * z) / x)). [para(9(a,1),779(a,1,1,2,2,2))]. 928 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(95(a,1),786(a,1,1,1))]. 929 K(x \ 1,x) * (y * z) = y * (z * K(u \ 1,u)). [hyper(843,a,830,a)]. 931 (x * y) * K(z \ 1,z) = x * (y * K(u \ 1,u)). [para(236(a,1),830(a,1,2))]. 933 x * ((x \ y) * K(z,z \ 1)) = y * K(z,z \ 1). [hyper(119,a,833,a)]. 934 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(350,a,835,a)]. 935 (x * y) * z != x * (y * K(1 / u,u)) | K(1 / u,u) = z. [para(836(a,1),42(a,1)),flip(a)]. 936 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(181,a,852,a,b,xx)]. 938 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(716,a,854,a),flip(a)]. 939 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(262,a,385,a,b,854,a),flip(a)]. 940 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(249,a,854,a),flip(a)]. 942 x \ (x * (x * (y / x))) = (x \ 1) * T((x \ 1) \ y,y). [para(670(a,1),854(a,2,2)),flip(a)]. 943 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [hyper(590,a,855,a),flip(a)]. 944 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [hyper(579,a,855,a)]. 945 T(x,y) * (T(y,x) / x) = x * (y / x). [para(587(a,1),884(a,1,2))]. 946 T(x,y) * (y / T(x,y)) = x * (y / x). [para(647(a,1),945(a,1,2))]. 947 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(946(a,1),42(a,1)),flip(a)]. 949 (x * K(y \ 1,y)) * z = (x * z) * K(u \ 1,u). [hyper(845,a,908,a),flip(a)]. 950 (K(x \ 1,x) * (y * z)) \ ((y * K(u \ 1,u)) * (z * w)) = L(w,z,y * K(u \ 1,u)). [para(908(a,2),18(a,2,1)),flip(a)]. 951 (x * (y * K(z \ 1,z))) \ (x * (K(u \ 1,u) * (y * w))) != v5 | L(w,y * K(z \ 1,z),x) = v5. [para(908(a,2),411(a,1,2,2))]. 952 (x * K(y,y \ 1)) / z = K(y,y \ 1) * (x / z). [hyper(105,a,127,a(flip),b,910,a)]. 953 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(105,a,127,a(flip),b,913,a)]. 954 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(262,a,167,a(flip),b,917,a)]. 956 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(167(a,1),954(a,2,2,2)),flip(a)]. 957 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(108,a,956,a)]. 958 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(957(a,1),253(a,1,1))]. 959 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(925(a,1),250(a,1,1)),flip(b)]. 960 x \ K(y \ 1,y) = (x \ 1) * K(z \ 1,z). [hyper(346,a,929,a)]. 961 ((x \ 1) \ 1) * K(y \ 1,y) = x. [hyper(296,a,960,a),flip(a)]. 962 x * K(y \ 1,y) = 1 / (1 / x). [para(155(a,1),961(a,1,1))]. 963 (x * ((y \ 1) \ 1)) * K(z \ 1,z) = x * y. [para(961(a,1),830(a,2,2))]. 964 (x \ ((y \ 1) \ 1)) * K(z \ 1,z) = x \ y. [para(961(a,1),831(a,1,2)),flip(a)]. 965 K(x \ 1,x) * (y \ z) = ((y \ 1) \ 1) \ z. [para(961(a,1),895(a,1,2,1))]. 966 K(x \ 1,x) * (((y \ 1) \ 1) * z) = y * z. [para(961(a,1),908(a,2,1))]. 967 K(x \ 1,x) * y = 1 / (1 / y). [hyper(843,a,962,a)]. 968 x * K(1 / y,y) = 1 / (1 / x). [para(230(a,2),962(a,1,2,1))]. 969 x * K(y,y \ 1) = 1 / (1 / x). [para(231(a,1),962(a,1,2,1))]. 970 (x * y) * K(z \ 1,z) = x * (1 / (1 / y)). [para(962(a,1),830(a,2,2))]. 971 K(x \ 1,x) * ((1 / (1 / y)) \ z) = y \ z. [para(962(a,1),895(a,1,2,1))]. 972 K(x \ 1,x) * (y * z) = (1 / (1 / y)) * z. [para(962(a,1),908(a,2,1))]. 973 K(x \ 1,x) * (y * z) = y * (1 / (1 / z)). [para(962(a,1),929(a,2,2))]. 974 (x \ 1) * K(y,y \ 1) = 1 / x. [para(74(a,1),969(a,2,2))]. 975 K(x,x \ 1) * (y \ 1) = 1 / y. [hyper(349,a,974,a)]. 976 x \ K(y,y \ 1) = (x \ 1) * K(z,z \ 1). [hyper(262,a,242,a,b,974,a)]. 977 K(x,x \ 1) * ((y \ 1) * z) = (1 / y) * z. [para(974(a,1),912(a,1,1)),flip(a)]. 978 ((x \ 1) * y) * K(z,z \ 1) = (1 / x) * y. [para(975(a,1),910(a,1,1)),flip(a)]. 980 (x * T(y,y \ 1)) * K(z \ 1,z) = x * y. [para(99(a,2),963(a,1,1,2))]. 982 (x \ y) * K(z \ 1,z) = ((x \ 1) \ 1) \ y. [hyper(845,a,965,a)]. 983 ((x \ 1) \ 1) * (y * K(z \ 1,z)) = x * y. [hyper(62,a,929,a(flip),b,966,a)]. 985 x * K(y \ 1,y) = z * (1 / (1 / (z \ x))). [hyper(572,a,970,a)]. 987 K(x \ 1,x) * (1 / y) = y \ 1. [para(77(a,1),971(a,1,2))]. 988 K(x \ 1,x) * (T(1 / (1 / y),z) \ u) = T(y,z) \ u. [para(689(a,1),971(a,1,2,1))]. 989 (1 / x) * K(y \ 1,y) = x \ 1. [hyper(845,a,987,a)]. 990 K(x \ 1,x) * y = (y \ 1) \ 1. [para(74(a,1),987(a,1,2))]. 991 K(x \ 1,x) * ((1 / y) * z) = (y \ 1) * z. [para(987(a,1),412(a,1,1)),flip(a)]. 992 (1 / x) * K(y,y \ 1) = x \ 1. [para(231(a,1),989(a,1,2,1))]. 993 (x * (1 / y)) * K(z \ 1,z) = x * (y \ 1). [para(989(a,1),830(a,2,2))]. 994 x * K(y,y \ 1) = (x \ 1) \ 1. [hyper(573,a,992,a)]. 995 (1 / (1 / x)) * K(y,y \ 1) = x. [hyper(262,a,77,a(flip),b,992,a),flip(a)]. 996 T(x,x \ 1) = x * K(y,y \ 1). [hyper(262,a,99,a,b,994,a)]. 997 x * K(y,1 / y) = (x \ 1) \ 1. [para(230(a,2),994(a,1,2,2))]. 999 K(x,x \ 1) * (y * z) = ((y \ 1) \ 1) * z. [para(994(a,1),912(a,1,1)),flip(a)]. 1000 (x * K(y,y \ 1)) * K(z \ 1,z) = x. [para(994(a,2),961(a,1,1))]. 1001 K(x,x \ 1) * (1 / (1 / y)) = y. [hyper(349,a,995,a)]. 1002 (K(x,x \ 1) * y) * K(z \ 1,z) = y. [hyper(62,a,970,a,b,1001,a)]. 1003 K(x,x \ 1) * (y * K(z \ 1,z)) = y. [hyper(34,a,970,a,b,1001,a(flip))]. 1004 K(x,x \ 1) * (K(y \ 1,y) * z) = z. [para(967(a,2),1001(a,1,2))]. 1005 K(x \ 1,x) * (y * K(z,z \ 1)) = y. [hyper(843,a,1000,a)]. 1006 (x * y) * K(z,z \ 1) = x * ((y \ 1) \ 1). [hyper(34,a,963,a,b,1000,a),flip(a)]. 1007 x * K(y \ 1,y) != z | z * K(u,u \ 1) = x. [para(1000(a,1),43(a,1)),flip(a)]. 1008 R((x * K(y,y \ 1)) / z,z,K(u \ 1,u)) = x / (z * K(u \ 1,u)). [para(1000(a,1),95(a,2,1))]. 1010 K(x,x \ 1) * (y * z) = y * ((z \ 1) \ 1). [hyper(34,a,963,a,b,1002,a),flip(a)]. 1011 K(x,x \ 1) * (y * (z * K(u \ 1,u))) = y * z. [hyper(34,a,830,a,b,1002,a),flip(a)]. 1012 K(x \ 1,x) \ y = K(z,z \ 1) * y. [hyper(104,a,1002,a(flip),b,563,a)]. 1013 (K(x,x \ 1) * y) * z != y | K(u \ 1,u) = z. [para(1002(a,1),42(a,1)),flip(a)]. 1014 x * K(y \ 1,y) != z | K(u,u \ 1) * z = x. [para(1002(a,1),43(a,1)),flip(a)]. 1015 (K(x,x \ 1) * y) \ z = K(u \ 1,u) * (y \ z). [para(1002(a,1),895(a,1,2,1)),flip(a)]. 1017 K(x,x \ 1) * y != z | K(u \ 1,u) * z = y. [para(1004(a,1),42(a,1)),flip(a)]. 1018 K(x,x \ 1) * (y \ z) = (1 / (1 / y)) \ z. [para(971(a,1),1004(a,1,2))]. 1019 R(x,K(y \ 1,y),z) = K(u \ 1,u) * (x * K(w,w \ 1)). [hyper(262,a,330,a,b,1005,a)]. 1020 (x * y) * K(z,z \ 1) = ((x \ 1) \ 1) * y. [hyper(33,a,966,a,b,1005,a),flip(a)]. 1021 (x * y) * K(z \ 1,z) = (1 / (1 / x)) * y. [hyper(845,a,972,a)]. 1022 K(x \ 1,x) * y = (1 / (1 / z)) * (z \ y). [hyper(267,a,972,a)]. 1023 K(x \ 1,x) * (y * T(z,u)) = y * T(1 / (1 / z),u). [para(689(a,1),973(a,2,2))]. 1025 K(x,x \ 1) * y = (1 / z) * ((z \ 1) \ y). [hyper(267,a,977,a)]. 1026 K(x \ 1,x) * (y * T(z,z \ 1)) = y * z. [hyper(843,a,980,a)]. 1027 K(x,x \ 1) * (y * z) = y * T(z,z \ 1). [hyper(34,a,1002,a,b,980,a)]. 1028 (x \ y) * K(z,z \ 1) = ((x \ 1) \ 1) \ y. [para(231(a,1),982(a,1,2,1))]. 1029 ((x \ 1) \ 1) * (K(y \ 1,y) * z) = x * z. [para(563(a,2),983(a,1,2))]. 1030 (1 / x) * (y * K(z \ 1,z)) = (x \ 1) * y. [hyper(62,a,929,a(flip),b,991,a)]. 1031 (x / (1 / y)) * (y \ 1) = x * K(z \ 1,z). [hyper(571,a,993,a),flip(a)]. 1032 (x * (y \ 1)) * K(z,z \ 1) = x * (1 / y). [hyper(34,a,1000,a,b,993,a)]. 1034 (x / y) * ((y \ 1) \ 1) = x * K(z,z \ 1). [hyper(571,a,1006,a),flip(a)]. 1035 (K(x,x \ 1) * y) * z = y * ((z \ 1) \ 1). [hyper(62,a,910,a,b,1006,a)]. 1036 (x \ 1) * ((y \ 1) \ 1) = (1 / x) * y. [hyper(62,a,978,a(flip),b,1006,a),flip(a)]. 1037 K(x,x \ 1) * y = z * (((z \ y) \ 1) \ 1). [hyper(267,a,1010,a)]. 1038 T(x,x \ 1) * y = (x * y) * K(z,z \ 1). [hyper(262,a,261,a,b,1020,a)]. 1040 (1 / x) \ (1 / y) = (x \ 1) \ (y \ 1). [hyper(104,a,975,a(flip),b,1025,a(flip))]. 1041 ((1 / x) \ y) * K(z,z \ 1) = (x \ 1) \ y. [para(77(a,1),1028(a,2,1,1))]. 1042 (K(x \ 1,x) * y) \ z = (y \ z) * K(u,u \ 1). [para(990(a,2),1028(a,2,1)),flip(a)]. 1043 K(x,x \ 1) * (y * (K(z \ 1,z) * u)) = y * u. [hyper(62,a,999,a,b,1029,a)]. 1044 ((x \ 1) \ y) * K(z \ 1,z) = (1 / x) \ y. [hyper(104,a,10,a(flip),b,1030,a),flip(a)]. 1045 (1 / x) * (y * K(z,z \ 1)) = (x \ 1) * y. [para(231(a,1),1030(a,1,2,2,1))]. 1046 x * K(y \ 1,y) = z * (((z \ x) \ 1) \ 1). [para(152(a,1),1031(a,1,1)),flip(a)]. 1047 (K(x,x \ 1) * y) * (z \ 1) = y * (1 / z). [hyper(62,a,910,a,b,1032,a)]. 1048 (x \ 1) / ((y \ 1) \ 1) = (1 / x) / y. [hyper(105,a,992,a(flip),b,1034,a)]. 1052 ((1 / (1 / x)) \ y) * z = (x \ y) * ((z \ 1) \ 1). [para(1018(a,1),1035(a,1,1))]. 1053 K(x,x \ 1) * ((1 / y) \ z) = (y \ 1) \ z. [hyper(349,a,1041,a)]. 1054 ((x \ 1) \ 1) * y != z | x * (y * K(u,u \ 1)) = z. [para(1045(a,1),573(a,1))]. 1055 ((x \ 1) \ 1) * (y * (((y \ z) \ 1) \ 1)) = x * z. [para(1046(a,1),983(a,1,2))]. 1056 K(x,x \ 1) * (y / (1 / z)) = y / (z \ 1). [hyper(105,a,12,a(flip),b,1047,a),flip(a)]. 1057 (x * K(y \ 1,y)) * (1 / z) = x * (z \ 1). [para(1003(a,1),1047(a,1,1)),flip(a)]. 1058 K(x \ 1,x) * (y / (z \ 1)) = y / (1 / z). [hyper(33,a,1004,a,b,1056,a)]. 1059 (x / (y \ 1)) * K(z \ 1,z) = x / (1 / y). [hyper(33,a,1003,a,b,1056,a)]. 1060 ((x \ (y / (1 / z))) \ 1) \ 1 = x \ (y / (z \ 1)). [hyper(104,a,1056,a(flip),b,1037,a(flip)),flip(a)]. 1061 K(x,x \ 1) * (y / T(1 / (1 / z),u)) = y / ((1 / T(z,u)) \ 1). [para(689(a,1),1056(a,1,2,2))]. 1062 ((1 / (1 / x)) * y) * (1 / z) = (x * y) * (z \ 1). [para(1021(a,1),1057(a,1,1))]. 1063 1 / (1 / (x \ (y / (z \ 1)))) = x \ (y / (1 / z)). [hyper(104,a,1059,a(flip),b,985,a(flip)),flip(a)]. 1064 L(K(x \ 1,x),y,z) = K(u \ 1,u). [hyper(408,a,931,a)]. 1066 L(x,y,z) != K(u \ 1,u) | K(w \ 1,w) = x. [para(1064(a,1),49(a,1)),flip(a)]. 1067 K(x \ 1,x) != y | K(z \ 1,z) = y. [para(1064(a,1),313(a,1))]. 1069 L(K(x \ 1,x),y,z) != u | K(w \ 1,w) = u. [para(1064(a,2),1067(a,1))]. 1070 T(x,y) * (x \ 1) = x \ T(x,y). [para(68(a,1),938(a,1,2,1)),flip(a)]. 1071 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(939(a,2),585(a,1))]. 1072 (1 / x) * T(x,y) = T(x,y) / x. [para(75(a,1),943(a,1,1,1)),flip(a)]. 1073 T(x * ((1 / x) * y),z) = x * ((1 / x) * T(y,z)). [para(943(a,1),584(a,1,2)),flip(a)]. 1074 (1 / x) * T(x,y) = x \ T(x,y). [hyper(262,a,221,a(flip),b,1072,a),flip(a)]. 1075 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(573,a,1074,a),flip(a)]. 1076 T(1 / x,T(x,y)) = x \ 1. [hyper(181,a,1074,a,b,1070,a)]. 1079 T(x,T(x \ 1,y)) = (x \ 1) \ 1. [para(74(a,1),1076(a,1,1))]. 1080 T(1 / x,(y \ x) * y) = x \ 1. [para(201(a,1),1076(a,1,2))]. 1081 ((x \ y) * x) * (y \ 1) != z | (1 / y) * ((x \ y) * x) = z. [para(1080(a,1),249(a,1,2))]. 1082 (1 / x) * T((1 / x) \ y,z) = x \ T(x * y,z). [hyper(262,a,385,a(flip),b,944,a),flip(a)]. 1083 (x * K(y \ 1,y)) \ (z * K(u \ 1,u)) = x \ z. [hyper(104,a,128,a(flip),b,949,a)]. 1084 K(x,x \ 1) * ((y \ 1) / z) = (1 / y) / z. [para(974(a,1),952(a,1,1)),flip(a)]. 1085 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(759,a,953,a)]. 1086 K(x,x \ 1) * (y * z) = y * (K(u,u \ 1) * z). [para(1002(a,1),1011(a,1,2,2))]. 1087 K(x,x \ 1) * (y * (z * (u \ 1))) = y * (z * (1 / u)). [para(993(a,1),1011(a,1,2,2))]. 1088 (K(x,x \ 1) * y) \ z = (y \ z) * K(u \ 1,u). [hyper(262,a,563,a(flip),b,1015,a),flip(a)]. 1089 (K(x \ 1,x) * y) \ 1 = y \ K(z,z \ 1). [hyper(262,a,976,a,b,1042,a),flip(a)]. 1090 (((x \ 1) \ 1) \ y) * ((z \ 1) \ 1) = (x \ y) * z. [para(152(a,1),1052(a,1,1,1)),flip(a)]. 1091 x / (y * (((y \ z) \ 1) \ 1)) = ((x / z) \ 1) \ 1. [hyper(105,a,12,a(flip),b,1055,a)]. 1092 ((x \ 1) \ 1) * y != x * z | u * (((u \ z) \ 1) \ 1) = y. [para(1055(a,1),42(a,1)),flip(a)]. 1093 ((x \ (y / z)) \ 1) \ 1 = x \ (y / ((z \ 1) \ 1)). [para(74(a,1),1060(a,1,1,1,2,2))]. 1094 1 / (1 / ((x * y) \ z)) = ((1 / (1 / x)) * y) \ z. [hyper(104,a,154,a(flip),b,1062,a),flip(a)]. 1095 1 / (1 / (x \ (y / z))) = x \ (y / (1 / (1 / z))). [para(77(a,1),1063(a,1,2,2,2,2))]. 1097 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(249,a,1082,a),flip(a)]. 1098 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [para(8(a,1),1082(a,2,2,1))]. 1099 (1 / x) * T((1 / x) \ y,z) != u | T(y * x,z) / x = u. [para(1082(a,2),602(a,1))]. 1100 (x * K(y \ 1,y)) \ z = x \ (K(u,u \ 1) * z). [para(1002(a,1),1083(a,1,2))]. 1101 x \ (K(y,y \ 1) * z) = K(u,u \ 1) * (x \ z). [hyper(523,a,1086,a)]. 1102 K(x,x \ 1) * (y * z) = z * (K(u,u \ 1) * T(y,z)). [para(98(a,1),1086(a,1,2))]. 1103 (((1 / x) \ y) \ z) * K(u \ 1,u) = ((x \ 1) \ y) \ z. [para(1053(a,1),1088(a,1,1)),flip(a)]. 1104 x / (y * ((z \ 1) \ 1)) = ((x / (y * z)) \ 1) \ 1. [para(9(a,1),1091(a,1,2,2,1,1))]. 1105 (((1 / (1 / x)) * y) \ z) \ 1 = 1 / ((x * y) \ z). [hyper(151,a,1094,a)]. 1106 x * (1 / (1 / (x \ (y / z)))) = y / (1 / (1 / z)). [hyper(119,a,1095,a(flip))]. 1107 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [hyper(613,a,1097,a),flip(a)]. 1108 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(w,w \ 1) * u). [para(830(a,1),1100(a,1,1))]. 1109 x \ (K(y,y \ 1) * z) = (x \ z) * K(u,u \ 1). [hyper(262,a,245,a(flip),b,1101,a),flip(a)]. 1110 1 / (((x \ 1) * y) \ z) = (((1 / x) * y) \ z) \ 1. [para(74(a,1),1105(a,1,1,1,1,2)),flip(a)]. 1111 (x / (1 / (1 / y))) / z = 1 / (1 / ((x / y) / z)). [para(1106(a,1),779(a,1,1))]. 1112 x \ (K(y,y \ 1) * z) = 1 / (1 / (x \ z)). [hyper(262,a,969,a(flip),b,1109,a),flip(a)]. 1114 ((((1 / x) * y) \ z) \ 1) \ 1 = ((x \ 1) * y) \ z. [hyper(151,a,1110,a)]. 1115 1 / (1 / ((x / (y \ 1)) / z)) = (x / (1 / y)) / z. [para(74(a,1),1111(a,1,1,2,2)),flip(a)]. 1116 ((L(x,y,y \ 1) \ z) \ 1) \ 1 = ((y \ 1) * (y * x)) \ z. [para(500(a,1),1114(a,1,1,1,1))]. 1117 1 / ((x / (y \ 1)) / z) = ((x / (1 / y)) / z) \ 1. [hyper(151,a,1115,a),flip(a)]. 1118 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(500(a,1),257(a,1,1))]. 1119 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(167(a,1),406(a,1,2,1))]. 1120 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(253(a,1),406(a,1,2,1))]. 1121 x * (T(y,x) * L(z,x,y)) = y * (x * L(z,T(y,x),x)). [hyper(62,a,409,a(flip),b,407,a)]. 1122 (x * y) * L((x * y) \ (x * z),u,w) = x * (y * L(y \ z,u,w)). [para(90(a,1),407(a,1,2,1))]. 1123 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(253(a,1),407(a,1,2,1))]. 1124 R((x * y) / (z * y),u,w) * (z * y) = (R(x / z,u,w) * z) * y. [para(95(a,1),465(a,1,1,1))]. 1125 (x \ 1) * L(x,y,z) = x \ L(x,y,z). [para(401(a,1),497(a,1,2,1)),flip(a)]. 1126 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(447(a,1),497(a,1,2,1)),flip(a)]. 1127 (1 / x) \ L((1 / x) * y,z,u) = x * L(x \ y,z,u). [para(446(a,1),499(a,1,2,1))]. 1128 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(742(a,1),499(a,1,2,1))]. 1129 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(342(a,2),502(a,1,1,1))]. 1131 x * (T(y,x) * L(T(y,x) \ (x \ z),u,w)) = (y * x) * L((x * T(y,x)) \ z,u,w). [para(504(a,1),409(a,1,2)),flip(a)]. 1132 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(104,a,531,a(flip),b,192,a),flip(a)]. 1133 (x \ 1) \ L((x \ 1) * y,z,u) = x * L(x \ y,z,u). [hyper(104,a,546,a(flip),b,537,a)]. 1134 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(697(a,1),725(a,1,1))]. 1135 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(725(a,1),399(a,1,2)),flip(a)]. 1136 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(692(a,1),731(a,1,1))]. 1137 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(731(a,1),461(a,1,1)),flip(a)]. 1138 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(382(a,1),793(a,1,1,1))]. 1139 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(798(a,1),94(a,1,1))]. 1140 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(694(a,1),798(a,1,1))]. 1143 L(x,y,y \ 1) \ (T(1,y) * x) = a(y \ 1,y,x). [para(201(a,2),543(a,1,2,1))]. 1144 L(x,y,y \ 1) \ (1 * x) = a(y \ 1,y,x). [para(226(a,1),1143(a,1,2,1))]. 1145 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(7(a,1),1144(a,1,2))]. 1147 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(33,a,180,a,b,559,a)]. 1148 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(104,a,1147,a(flip),b,567,a),flip(a)]. 1149 (x * y) * T((x * y) \ z,x) = ((x \ (z / y)) * x) * y. [hyper(579,a,738,a)]. 1150 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(715(a,1),807(a,1,1)),flip(a)]. 1152 (a(x,y,x) \ z) / u = z / (u * T(a(w,v5,w),v6)). [para(442(a,2),837(a,1,1))]. 1153 a(x,y,x) \ (z / u) = z / (u * T(a(w,v5,w),v6)). [hyper(62,a,802,a(flip),b,1152,a)]. 1155 a(x,y,x) \ (z / u) = z / (u * a(w,v5,w)). [para(97(a,1),1153(a,2,2,2))]. 1156 a(x,y,x) \ (z / u) = z / R(u,w,u). [para(479(a,2),1155(a,2,2))]. 1157 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(351,a,848,a),flip(a)]. 1158 T(x,y) * (x * z) = x * (T(x,y) * z). [para(178(a,1),1157(a,1,2)),flip(a)]. 1159 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(267,a,1158,a),flip(a)]. 1160 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(262,a,129,a(flip),b,1158,a),flip(a)]. 1161 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(104,a,129,a(flip),b,1158,a)]. 1162 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(104,a,68,a(flip),b,1158,a),flip(a)]. 1163 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(12(a,1),1158(a,1,2)),flip(a)]. 1164 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(1158(a,2),42(a,1))]. 1165 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(100(a,1),1158(a,1,1)),flip(a)]. 1166 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(115,a,1162,a)]. 1167 (x * (1 / T(x,y))) * K(z \ 1,z) = T(x,y) \ x. [hyper(62,a,993,a,b,1162,a)]. 1168 T(x,y) * (x \ y) = (x * y) / x. [hyper(33,a,603,a(flip),b,1159,a),flip(a)]. 1170 T(x,x \ y) * y = x * (x * (y / x)). [para(604(a,1),1159(a,1,2)),flip(a)]. 1171 T(x,y) * T(y,x) = x * y. [para(700(a,1),1159(a,1,2)),flip(a)]. 1172 T(x,T(y,x)) = T(x,y). [hyper(344,a,1171,a)]. 1173 T(T(x,y),T(y,x)) = T(y,x) \ (x * y). [hyper(181,a,1171,a,b,10,a)]. 1174 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(1171(a,1),14(a,2,2,1)),flip(a)]. 1176 (x * y) * L(z,T(y,x),T(x,y)) = T(x,y) * (T(y,x) * z). [para(1171(a,1),88(a,1,1))]. 1177 L(T(x,y) \ z,T(x,y),T(y,x)) = (y * x) \ (T(y,x) * z). [para(1171(a,1),90(a,2,1))]. 1178 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(262,a,702,a,b,1172,a)]. 1179 T(T(x,y),T(z,x)) = T(T(x,z),y). [para(1172(a,1),23(a,1,1)),flip(a)]. 1180 T(x,T(T(y,x),z)) = T(x,T(y,z)). [para(23(a,1),1172(a,1,2))]. 1181 T(L(x,y,z),T(u,x)) = L(T(x,u),y,z). [para(1172(a,1),25(a,1,1)),flip(a)]. 1182 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(25(a,2),1172(a,1,2))]. 1183 T(x,y / x) = T(x,x \ y). [para(100(a,1),1172(a,1,2)),flip(a)]. 1184 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(1172(a,1),179(a,1,2,1))]. 1185 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(1172(a,1),180(a,1,2,1))]. 1186 T(x,T(y,y * x)) = T(x,y). [para(630(a,2),1172(a,1,2))]. 1187 T(x,T(y,y \ x)) = T(x,y). [para(633(a,2),1172(a,1,2))]. 1188 T(x,T(y,T(z,T(y,x)))) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(1172(a,1),704(a,1,2,1))]. 1189 T(x,y / x) = (x \ y) \ y. [hyper(262,a,99,a(flip),b,1183,a),flip(a)]. 1190 (x / y) * T(y,y \ x) = y * (x / y). [para(1183(a,1),98(a,1,2))]. 1191 T(x * (y / x),z / y) = x * (T(y,y \ z) / x). [para(1183(a,1),599(a,2,2,1))]. 1192 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(1186(a,1),180(a,1,2,1))]. 1193 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(1186(a,1),352(a,1,2,1))]. 1194 T(x,T(y,x / y)) = T(x,y). [para(1183(a,2),1187(a,1,2))]. 1195 T(x,y / x) != z | T(x,x \ y) = z. [para(1189(a,2),286(a,1))]. 1196 T(x * y,T(y,x)) = T(x * y,y). [para(11(a,1),1194(a,1,2,2))]. 1197 T(x,(y \ x) * y) * K(y \ x,y) = (x * ((y \ x) * y)) / x. [para(82(a,1),1168(a,1,2))]. 1198 (x / y) * ((y \ x) \ y) = T(y,T(x / y,y)). [para(100(a,1),1178(a,1,2,1))]. 1199 T(x,T(y,x)) != z | T(x,y) = z. [para(1178(a,1),703(a,1))]. 1201 T(x,y \ x) != z | T(x,x / y) = z. [para(642(a,1),1199(a,1,2))]. 1202 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(25(a,2),1179(a,1,2))]. 1203 T(x,T(y,T(z,T(y,x)))) = T(x,T(T(y,x),z)). [para(1172(a,1),1180(a,1,2)),flip(a)]. 1204 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1160(a,1),266(a,1,2))]. 1205 ((x \ y) \ y) * y = x * (x * (y / x)). [hyper(62,a,261,a(flip),b,1170,a)]. 1206 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(62,a,1179,a(flip),b,1173,a),flip(a)]. 1207 (x * y) / T(T(x,y),y) = T(y,x). [hyper(156,a,1206,a)]. 1208 T(x,y) * T(T(y,x),x) = y * x. [hyper(119,a,1206,a)]. 1209 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(25(a,2),1206(a,1,1))]. 1210 (x / y) * ((y \ x) \ y) = T(y,y \ x). [para(100(a,1),1198(a,2,2))]. 1211 ((x * y) / x) * (y \ x) = T(x,x \ (x * y)). [para(9(a,1),1210(a,1,2,1))]. 1212 T(x,T(y,T(z,T(y,x)))) = T(x,T(y,z)). [hyper(262,a,1180,a(flip),b,1203,a),flip(a)]. 1213 T(x,y) = ((x * y) / x) * (y \ x). [para(9(a,1),1211(a,2,2)),flip(a)]. 1214 (x / (x / y)) * (y \ (x / y)) = T(x / y,y). [para(12(a,1),1213(a,2,1,1)),flip(a)]. 1215 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(361(a,1),1213(a,2,2)),flip(a)]. 1216 (x * y) / ((x * y) / x) = y / (x \ ((x * y) / x)). [hyper(105,a,171,a(flip),b,1214,a),flip(a)]. 1217 T(x,y) * (z * x) != x * u | T(x,y) * T(z,x) = u. [para(98(a,1),1164(a,1,2))]. 1219 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(378(a,1),1163(a,1,2))]. 1220 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(34,a,964,a,b,1167,a)]. 1221 T(x,y) * T(y,y * x) = L(y,z,y) * T(x,y). [para(628(a,1),1184(a,1,2))]. 1222 (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(1185(a,1),175(a,1,1,2))]. 1223 T(x * (y / x),z / y) = T(x * (y / x),y \ z). [hyper(262,a,599,a,b,1191,a),flip(a)]. 1226 (x / y) \ (x * T(x \ (x / y),z)) = y * T(y \ 1,z). [hyper(108,a,853,a)]. 1228 x \ (x * (x * (y / x))) = T(y,x \ 1). [hyper(262,a,705,a(flip),b,942,a),flip(a)]. 1229 T(x,y \ 1) = y * (x / y). [hyper(268,a,1228,a)]. 1230 x \ T(y,x \ 1) = y / x. [hyper(104,a,1228,a(flip),b,9,a(flip))]. 1231 T(x * y,y \ 1) = y * x. [hyper(600,a,1229,a),flip(a)]. 1233 T(x,y \ 1) \ y = y / x. [para(1229(a,2),661(a,1,1))]. 1234 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [hyper(262,a,664,a(flip),b,1230,a),flip(a)]. 1235 T(T(x,y),y \ 1) = x. [hyper(217,a,1230,a),flip(a)]. 1236 (x \ 1) \ T(y,x) = y / (x \ 1). [para(231(a,1),1230(a,1,2,2))]. 1237 x * (y / x) != z | T(y,x \ 1) = z. [para(1230(a,1),190(a,1,2)),flip(b)]. 1238 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [para(1230(a,2),656(a,2,2)),flip(a)]. 1239 T(x,y \ 1) != z | T(z,y) = x. [para(1235(a,1),48(a,1)),flip(a)]. 1240 T(x,y) * (y \ 1) = (y \ 1) * x. [para(1235(a,1),98(a,1,2)),flip(a)]. 1241 T(x,y \ 1) * y = y * x. [para(1235(a,1),178(a,1,2)),flip(a)]. 1242 T(x,y) \ (y \ 1) = (y \ 1) / x. [para(1235(a,1),637(a,1,2)),flip(a)]. 1243 T(x,(y \ 1) \ 1) = T(x,y). [para(1235(a,1),1235(a,1,1))]. 1244 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(262,a,680,a,b,1231,a)]. 1245 x / T(x * y,y \ 1) = (x * y) \ x. [para(1231(a,2),651(a,1,2))]. 1246 T(x \ 1,y * x) = T(x \ 1,x * y). [para(1231(a,1),1172(a,1,2)),flip(a)]. 1247 T(x \ 1,x * y) != z | T(x \ 1,y * x) = z. [para(1231(a,1),1199(a,1,2))]. 1248 L(T(x,y \ 1),z,u) \ y = y / L(x,z,u). [para(25(a,2),1233(a,1,1))]. 1249 L(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * L(T(T(x,y \ 1),y),z,u). [para(1233(a,1),639(a,1,1)),flip(a)]. 1250 T(x,1 / y) = T(x,y \ 1). [para(77(a,1),1243(a,1,2,1)),flip(a)]. 1251 T(x,1 / (1 / y)) = T(x,y). [para(155(a,1),1243(a,1,2)),flip(a)]. 1252 T(x,R(y,z,y)) = T(x,y). [para(472(a,2),1243(a,1,2))]. 1253 T(x,K(y \ 1,y) * z) = T(x,z). [para(990(a,2),1243(a,1,2))]. 1254 T(x,y * K(z,z \ 1)) = T(x,y). [para(994(a,2),1243(a,1,2))]. 1255 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(358,a,1252,a),flip(a)]. 1256 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(1252(a,1),98(a,1,2))]. 1257 T(x,y * a(z,u,z)) = T(x,y). [para(479(a,1),1252(a,1,2))]. 1258 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(685(a,1),1252(a,1,2))]. 1259 T(x / (1 / y),y \ 1) = (1 / y) \ x. [hyper(358,a,1250,a),flip(a)]. 1260 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(1250(a,1),98(a,1,2))]. 1261 T(x,L(y,z,y)) = T(x,y). [para(416(a,2),1251(a,1,2))]. 1262 T(x,y * K(z \ 1,z)) = T(x,y). [para(962(a,2),1251(a,1,2))]. 1263 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(1261(a,1),98(a,1,2))]. 1264 T(x,a(y,z,y) \ u) = T(x,u). [para(424(a,1),1261(a,1,2))]. 1265 T(x,T(y * z,y)) = T(x,z * y). [para(812(a,2),1257(a,1,2))]. 1266 T(x,T(y,z) / z) = T(x,z \ y). [para(814(a,2),1257(a,1,2))]. 1267 T(x,((y \ 1) * y) \ z) = T(x,z). [para(435(a,1),1264(a,1,2,1))]. 1268 T(x,y / R(z,u,z)) = T(x,y / z). [para(1156(a,1),1264(a,1,2))]. 1269 T(x * y,x) * (x \ 1) = L(y,x,x \ 1). [hyper(262,a,537,a(flip),b,1240,a),flip(a)]. 1270 T(x,K(y,y \ 1) * z) = T(x,z). [para(231(a,1),1253(a,1,2,1,1))]. 1271 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(965(a,1),1253(a,1,2))]. 1272 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(1038(a,2),1254(a,1,2))]. 1273 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(358,a,1258,a),flip(a)]. 1274 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(99(a,2),1258(a,1,2))]. 1275 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(1046(a,1),1262(a,1,2))]. 1276 T(x,y / T(z,y)) = T(x,z \ y). [para(647(a,1),1266(a,1,2))]. 1277 T(x,L(y \ z,y,y \ 1)) = T(x,(y \ 1) * z). [para(90(a,2),1267(a,1,2))]. 1278 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [para(685(a,1),1268(a,1,2,2))]. 1279 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(119,a,1238,a),flip(a)]. 1280 x * (y * ((x \ y) / y)) = T(y,x \ 1). [para(1238(a,1),70(a,1,2,2))]. 1282 x / T(x * y,y \ 1) = L(y \ 1,y,x). [hyper(262,a,167,a,b,1245,a),flip(a)]. 1283 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(1255(a,1),98(a,1,2)),flip(a)]. 1285 R(x,y,x) \ T(x * z,x) = T(z,x). [hyper(104,a,815,a(flip),b,1256,a)]. 1287 R(T(x,y),z,x) \ T(T(x,y) * u,T(x,y)) = T(u,T(x,y)). [para(687(a,1),1285(a,1,1))]. 1288 T(x,y) * T(y,y * x) = x * L(y,z,y). [hyper(62,a,1221,a,b,1263,a)]. 1290 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(262,a,612,a,b,1279,a)]. 1291 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(104,a,1279,a,b,604,a)]. 1292 (x * y) * ((x \ (x * y)) / (x * y)) = ((x \ 1) \ y) * (x \ 1). [hyper(62,a,940,a(flip),b,1279,a),flip(a)]. 1294 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(62,a,775,a,b,1280,a)]. 1295 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [hyper(62,a,1158,a(flip),b,1280,a)]. 1296 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(105,a,1280,a(flip),b,775,a)]. 1297 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(77(a,1),1296(a,1,1,2))]. 1298 (x * ((x / y) / x)) * y != z | T(x,y \ 1) = z. [para(1296(a,1),250(a,1,1)),flip(b)]. 1299 L(((x / y) / x) \ 1,(x / y) / x,x) = (T(x,y \ 1) / y) \ x. [para(1296(a,2),167(a,2,1))]. 1300 (x * y) * (y \ 1) = L(x,y,y \ 1). [para(170(a,1),1269(a,1,1))]. 1301 L(x / y,y,y \ 1) = x * (y \ 1). [hyper(571,a,1300,a),flip(a)]. 1302 L(x,y,y \ 1) / (y \ 1) = x * y. [hyper(115,a,1300,a)]. 1303 x \ L(x,y,y \ 1) = a(x,y,y \ 1). [para(1300(a,1),166(a,1,2))]. 1304 x * L(x \ 1,y,y \ 1) = a(x \ 1,y,y \ 1). [hyper(62,a,681,a(flip),b,1303,a)]. 1306 T(x,y) * T(y,x * y) = x * L(y,z,y). [para(877(a,2),1288(a,1,2))]. 1307 L(x * (y / x),z,u) \ x = x / L(y,z,u). [para(1229(a,1),1248(a,1,1,1))]. 1308 (x / R(y,z,y)) * y != y * u | R(y,z,y) \ x = u. [para(1283(a,2),42(a,1))]. 1310 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(104,a,1297,a,b,xx)]. 1311 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [hyper(666,a,1307,a),flip(a)]. 1312 L(x / (x / y),z,u) \ x = x / L(y,z,u). [para(664(a,2),1307(a,1,1,1))]. 1314 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(1183(a,2),1310(a,1,2,1))]. 1315 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [para(1311(a,2),78(a,1,1,2))]. 1316 L(x / (x / y),z,u) = x / (x / L(y,z,u)). [hyper(156,a,1312,a),flip(a)]. 1317 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(11(a,1),1315(a,1,1,2,1,2))]. 1318 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(73(a,1),1315(a,1,1,2,1)),flip(a)]. 1319 x / (x / L(y \ x,z,u)) = L(x / y,z,u). [para(74(a,1),1316(a,1,1,2)),flip(a)]. 1320 L(x / (x / y),z,u) \ x != w | x / L(y,z,u) = w. [para(1316(a,2),269(a,1,1))]. 1321 ((x \ 1) * (x * y)) * x = L(y * x,x \ 1,x). [para(372(a,1),1317(a,1,1))]. 1322 L((x \ (y \ (z \ u))) * x,y,z) = (x \ ((z * y) \ u)) * x. [para(253(a,1),1318(a,2,1,2))]. 1323 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(447(a,1),1318(a,2,1,2))]. 1324 (L(x / y,z,u) \ x) \ x = L(y \ x,z,u). [para(1319(a,1),155(a,1,1,1))]. 1325 x / (x / L(L(y \ x,z,u),w,v5)) = L(L(x / y,z,u),w,v5). [para(1319(a,1),1316(a,1,1)),flip(a)]. 1326 L((x \ y) \ y,z,u) = (L(x,z,u) \ y) \ y. [para(74(a,1),1324(a,1,1,1,1)),flip(a)]. 1327 L(x,y,z) * K(u,1 / u) = L((x \ 1) \ 1,y,z). [hyper(262,a,997,a,b,1326,a)]. 1328 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [para(1326(a,2),1258(a,1,2))]. 1329 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [hyper(181,a,1321,a,b,192,a)]. 1331 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(255(a,1),1329(a,1,1,2))]. 1332 K(x,1 / x) * (y * L(z,u,w)) = y * L((z \ 1) \ 1,u,w). [para(1327(a,1),934(a,2,2))]. 1333 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(25(a,2),1328(a,2,2))]. 1334 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(876(a,2),1333(a,1,2,1)),flip(a)]. 1336 ((x \ 1) \ 1) * (T(y,z) \ u) = x * (T(1 / (1 / y),z) \ u). [para(988(a,1),1029(a,1,2))]. 1337 K(x \ 1,x) * (y * T((z \ 1) \ 1,u)) = y * T(z,u). [para(152(a,1),1023(a,2,2,1))]. 1338 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(1087(a,1),1270(a,1,2))]. 1339 T(K(x,x \ 1) * y,z) = K(u,u \ 1) * T(y,z). [hyper(181,a,413,a,b,1102,a(flip))]. 1340 K(x \ 1,x) * T(K(y,y \ 1) * z,u) = T(z,u). [hyper(1017,a,1339,a(flip))]. 1341 T(K(x \ 1,x) * y,z) = K(u \ 1,u) * T(y,z). [para(1004(a,1),1340(a,1,2,1)),flip(a)]. 1342 K(x,x \ 1) * (((y \ 1) \ z) \ u) = ((1 / y) \ z) \ u. [hyper(1014,a,1103,a)]. 1343 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(8(a,1),1126(a,2,2,1))]. 1344 x * L(x \ ((1 / x) \ y),z,u) = (1 / x) \ L(y,z,u). [para(10(a,1),1127(a,1,2,1)),flip(a)]. 1345 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(262,a,179,a(flip),b,1128,a),flip(a)]. 1346 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(335(a,1),1345(a,1,2)),flip(a)]. 1347 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(8(a,1),1132(a,2,2,1))]. 1348 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(62,a,559,a(flip),b,1347,a)]. 1349 (x \ R(x,y,z)) / (x \ 1) = R(x,y,z). [hyper(105,a,1347,a(flip),b,559,a(flip))]. 1350 (x \ 1) * (T(x \ R(x,y,z),u) / (x \ 1)) = T((x \ 1) * R(x,y,z),u). [para(1348(a,1),584(a,1,2,1,1))]. 1351 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(1348(a,1),764(a,1,1,2)),flip(a)]. 1352 x * L(x \ ((x \ 1) \ y),z,u) = (x \ 1) \ L(y,z,u). [para(10(a,1),1133(a,1,2,1)),flip(a)]. 1353 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(100(a,1),1165(a,1,2,1))]. 1354 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(171(a,1),1165(a,1,2,1)),flip(a)]. 1355 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(104,a,68,a(flip),b,1353,a),flip(a)]. 1356 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1355(a,1),42(a,1))]. 1357 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(62,a,366,a(flip),b,1226,a)]. 1358 K(x \ (x / y),x) = (y \ 1) \ T(y \ 1,x). [hyper(262,a,1075,a,b,1357,a),flip(a)]. 1359 K((x * y) \ x,x * y) = y * T(y \ 1,x * y). [para(11(a,1),1357(a,1,1,2))]. 1361 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [hyper(105,a,1359,a,b,378,a)]. 1362 L(x \ ((1 / x) \ y),z,u) = x \ ((1 / x) \ L(y,z,u)). [hyper(108,a,1344,a),flip(a)]. 1363 L(x \ ((x \ 1) \ y),z,u) = x \ ((x \ 1) \ L(y,z,u)). [hyper(108,a,1352,a),flip(a)]. 1364 L((x \ 1) \ ((1 / (x \ 1)) \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(74(a,1),1362(a,2,2,1))]. 1365 x * (y * R(T(x,y),z,u)) = R(x,z,u) * (x * y). [hyper(62,a,406,a(flip),b,631,a)]. 1366 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(180(a,1),1365(a,1,2)),flip(a)]. 1367 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(523,a,1366,a)]. 1368 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(515,a,1366,a)]. 1369 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(104,a,68,a(flip),b,1366,a),flip(a)]. 1370 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(181,a,1366,a(flip),b,254,a),flip(a)]. 1371 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(98(a,1),1366(a,1,2)),flip(a)]. 1373 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1369(a,1),194(a,1,2)),flip(a)]. 1374 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1369(a,1),938(a,1,2,1,2))]. 1375 R(x,y,z) * (x \ (y * z)) = x \ ((x * y) * z). [para(94(a,1),1367(a,1,2)),flip(a)]. 1376 R(x,y,z) = (x \ ((x * y) * z)) / (x \ (y * z)). [hyper(115,a,1375,a),flip(a)]. 1377 (x / y) * (y * L(y \ z,u,w)) = x * L(x \ ((x / y) * z),u,w). [para(449(a,1),722(a,1,2,1)),flip(a)]. 1378 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(726(a,1),399(a,1,2)),flip(a)]. 1379 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(727(a,1),399(a,1,2)),flip(a)]. 1380 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(732(a,1),461(a,1,1)),flip(a)]. 1381 L(((x * y) * z) / (x * y),y,x) != u / (x * y) | x * (y * z) = u. [para(763(a,2),45(a,1))]. 1382 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(167(a,1),794(a,1,2,1,2))]. 1383 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(90(a,1),794(a,1,2,1,2))]. 1384 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(253(a,1),794(a,1,2,1,2))]. 1385 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(795(a,1),400(a,1,2)),flip(a)]. 1386 T((x * y) * z,y * z) = (T(x,y * z) * y) * z. [hyper(252,a,857,a),flip(a)]. 1387 (x * y) / a(z,z \ y,T(x,y)) = L(x,z \ y,z) * y. [hyper(262,a,718,a(flip),b,862,a),flip(a)]. 1388 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [hyper(151,a,1387,a)]. 1390 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(62,a,465,a(flip),b,875,a),flip(a)]. 1392 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(262,a,388,a(flip),b,896,a),flip(a)]. 1394 K(x \ 1,x) * (y * K(z,z \ 1)) != u | y = u. [para(1019(a,1),477(a,1))]. 1397 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(262,a,589,a(flip),b,1136,a),flip(a)]. 1398 R(x / y,z,x / y) = (x * (y \ x)) / x. [hyper(920,a,1397,a)]. 1399 R(x / (x / y),z,x / (x / y)) = (x * y) / x. [para(77(a,1),1398(a,2,1,2))]. 1400 T(x,(y * z) / y) = T(x,y / (y / z)). [para(1399(a,1),1252(a,1,2))]. 1401 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(1322(a,1),88(a,1,2))]. 1402 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(104,a,1323,a(flip),b,192,a),flip(a)]. 1404 ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(u,u \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(u,u \ 1)). [para(1032(a,1),462(a,1,1))]. 1405 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(649(a,1),491(a,1,1))]. 1406 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) = K(z,T(x,y)). [para(633(a,1),564(a,2,2))]. 1407 K(x,T(y,y \ z)) = K(x,T(y,z)). [hyper(62,a,564,a(flip),b,1406,a)]. 1408 K(x,T(y,y * z)) = K(x,T(y,z)). [para(9(a,1),1407(a,1,2,2)),flip(a)]. 1409 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(99(a,1),1407(a,1,2))]. 1410 K(x,T(y,z * y)) = K(x,T(y,z)). [para(877(a,2),1408(a,1,2))]. 1411 K(x,T(y / z,y)) = K(x,z \ y). [para(77(a,1),1409(a,1,2,1)),flip(a)]. 1412 K(x,(y \ 1) \ 1) = K(x,y). [para(224(a,1),1409(a,2,2))]. 1413 K(x,1 / y) = K(x,y \ 1). [para(77(a,1),1412(a,1,2,1)),flip(a)]. 1414 K(x,1 / (1 / y)) = K(x,y). [para(155(a,1),1412(a,1,2)),flip(a)]. 1415 K(x,R(y,z,y)) = K(x,y). [para(472(a,2),1412(a,1,2))]. 1416 K(x,K(y \ 1,y) * z) = K(x,z). [para(990(a,2),1412(a,1,2))]. 1417 K(x,T(y,1 / y)) = K(x,y). [para(1189(a,2),1412(a,1,2))]. 1418 K(x,y * a(z,u,z)) = K(x,y). [para(479(a,1),1415(a,1,2))]. 1419 L(K(x,1 / y),z,K(u \ 1,u)) = K(x,y \ 1). [hyper(62,a,307,a,b,1413,a)]. 1420 K(x,L(y,z,y) \ 1) = K(x,y \ 1). [para(434(a,2),1413(a,1,2))]. 1421 K(x,L(y,z,y)) = K(x,y). [para(416(a,2),1414(a,1,2))]. 1422 K(x,(y / (1 / (1 / z))) / u) = K(x,(y / z) / u). [para(1111(a,2),1414(a,1,2))]. 1423 K(x,a(y,z,y) \ u) = K(x,u). [para(424(a,1),1421(a,1,2))]. 1424 K(x,L(y,z,L(y,u,w))) = K(x,y). [para(430(a,2),1421(a,1,2))]. 1425 K(x,R(y,z,y) * u) = K(x,y * u). [para(805(a,2),1418(a,1,2))]. 1426 K(x,T(y * z,y)) = K(x,z * y). [para(812(a,2),1418(a,1,2))]. 1427 K(x,T(y,z) / z) = K(x,z \ y). [para(814(a,2),1418(a,1,2))]. 1428 K(x,y * R(z,u,z)) = K(x,y * z). [para(811(a,1),1418(a,1,2))]. 1429 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(806(a,1),1423(a,1,2))]. 1430 K(x,K(y,1 / y) * z) = K(x,z). [para(77(a,1),1416(a,1,2,1,1))]. 1431 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(965(a,1),1416(a,1,2))]. 1432 K(x,T(K(y \ 1,y) * z,u)) = K(x,T(z,u)). [para(1341(a,2),1416(a,1,2))]. 1433 K(x,T(y * z,z)) = K(x,T(y,z) * z). [para(98(a,1),1426(a,1,2,1))]. 1434 K(x,y / T(z,y)) = K(x,z \ y). [para(647(a,1),1427(a,1,2))]. 1435 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(914(a,1),1430(a,1,2))]. 1436 K(x,y * T(z,z * u)) = K(x,y * T(z,u)). [para(708(a,1),1428(a,1,2,2)),flip(a)]. 1437 K(x,R(y,z,y) \ u) = K(x,y \ u). [para(472(a,2),1431(a,1,2,1))]. 1438 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(686(a,1),1431(a,1,2,1)),flip(a)]. 1439 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(685(a,1),1437(a,1,2,1))]. 1440 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(783(a,1),1437(a,1,2)),flip(a)]. 1441 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(809(a,2),1429(a,1,2,1))]. 1442 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(809(a,2),1440(a,1,2,2))]. 1443 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(991(a,1),1432(a,1,2,1)),flip(a)]. 1444 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [para(633(a,2),1439(a,2,2,1)),flip(a)]. 1445 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(10(a,1),1441(a,1,2,1,1)),flip(a)]. 1446 K(x,y \ ((z \ u) * z)) = K(x,y \ T(u,z)). [para(10(a,1),1442(a,1,2,2,1)),flip(a)]. 1447 K(x,y \ 1) != z | K(x,1 / y) = z. [para(1419(a,1),313(a,1))]. 1448 K(x,y) != z | K(x,1 / (1 / y)) = z. [para(77(a,1),1447(a,1,2))]. 1449 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(90(a,1),744(a,1,2,1))]. 1452 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [hyper(62,a,1149,a(flip),b,847,a),flip(a)]. 1453 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(854(a,1),1452(a,1,2)),flip(a)]. 1454 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(944(a,1),1452(a,1,2)),flip(a)]. 1455 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(590,a,850,a),flip(a)]. 1456 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(579,a,850,a)]. 1457 (x * T(y,z)) * y = (x * y) * T(y,z). [para(380(a,1),1455(a,1,1))]. 1458 (1 / T(x,y)) * x = x / T(x,y). [hyper(514,a,1457,a),flip(a)]. 1459 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(262,a,127,a(flip),b,1457,a),flip(a)]. 1461 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(100(a,1),1457(a,1,1,2)),flip(a)]. 1462 (1 / T(x,y)) * x = T(x,y) \ x. [hyper(262,a,218,a(flip),b,1458,a),flip(a)]. 1464 (x * (y / x)) * x = y * T(x,x \ y). [para(1190(a,1),1459(a,1,1))]. 1465 (x * (y / x)) * x = y * ((x \ y) \ y). [hyper(262,a,260,a(flip),b,1464,a),flip(a)]. 1466 (x * ((y \ x) \ x)) * K(y,y * (x / y)) = y * (y * (x / y)). [para(1465(a,1),81(a,1,1))]. 1467 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(171(a,1),1461(a,1,2)),flip(a)]. 1468 x * (y * T(L(x,z,u),y)) = L(x,z,u) * (x * y). [hyper(249,a,905,a),flip(a)]. 1469 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(98(a,1),1468(a,1,2)),flip(a)]. 1470 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(521,a,1469,a),flip(a)]. 1471 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(346,a,1469,a),flip(a)]. 1472 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(267,a,1469,a),flip(a)]. 1473 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(108,a,1469,a)]. 1474 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(104,a,129,a(flip),b,1469,a)]. 1475 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(104,a,68,a(flip),b,1469,a),flip(a)]. 1476 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(181,a,1469,a(flip),b,254,a),flip(a)]. 1478 T(x,L(x \ 1,y,z)) = (x \ 1) \ 1. [hyper(181,a,681,a(flip),b,1471,a)]. 1479 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(1471(a,1),764(a,1,1,2)),flip(a)]. 1480 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1471(a,1),938(a,1,2,1,2))]. 1481 T(x,(y * x) \ y) = (x \ 1) \ 1. [para(167(a,1),1478(a,1,2))]. 1482 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(335(a,1),1478(a,1,2))]. 1483 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(661(a,1),1481(a,1,2))]. 1484 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1475(a,1),194(a,1,2)),flip(a)]. 1485 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(77(a,1),1482(a,1,2))]. 1486 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(1482(a,2),780(a,1,1,2))]. 1487 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(104,a,22,a,b,1470,a),flip(a)]. 1488 K(x,T(y,L(y,z,u) * (y \ w))) = K(x,T(y,L(y,z,u) * w)). [para(1472(a,1),1408(a,1,2,2)),flip(a)]. 1489 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1473(a,1),1392(a,1,1,1)),flip(a)]. 1490 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(262,a,1093,a(flip),b,1485,a),flip(a)]. 1491 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [hyper(262,a,1060,a(flip),b,1485,a),flip(a)]. 1492 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(1490(a,1),98(a,1,2))]. 1493 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(383,a,1486,a)]. 1494 T(x / y,y / x) = T(x / y,x \ y). [hyper(262,a,1483,a,b,1493,a)]. 1495 T(T(x / y,x \ y),y) = T(y \ x,y / x). [para(1494(a,1),185(a,1,1))]. 1496 T(x \ y,x / y) = T(x \ y,y \ x). [hyper(580,a,1495,a),flip(a)]. 1497 T(x \ (y \ x),(y \ x) \ x) = T(x \ (y \ x),y). [para(74(a,1),1496(a,1,2)),flip(a)]. 1498 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [hyper(62,a,1482,a(flip),b,1497,a),flip(a)]. 1499 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(1498(a,2),1243(a,1,2))]. 1500 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(98(a,1),1119(a,1,1))]. 1502 (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(88(a,1),1119(a,1,1))]. 1503 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(108,a,1135,a)]. 1504 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(104,a,98,a(flip),b,1135,a),flip(a)]. 1505 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(8(a,1),1135(a,2,2,1,2))]. 1506 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(108,a,1505,a),flip(a)]. 1507 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1357(a,2),1505(a,1,2)),flip(a)]. 1508 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(1099,a,1507,a)]. 1509 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(505,a,1507,a),flip(a)]. 1510 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(18(a,2),1507(a,2,2,1,2,2))]. 1511 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(11(a,1),1509(a,1,1,2))]. 1512 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [para(12(a,1),1508(a,1,1,1)),flip(a)]. 1513 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(105,a,378,a(flip),b,1137,a)]. 1514 (x * ((y \ x) * y)) / x = x * K(y \ x,y). [para(216(a,1),1197(a,1,1)),flip(a)]. 1515 ((x \ y) * x) / y = K(x \ y,x). [hyper(669,a,1514,a)]. 1517 K(x \ y,x) * y = (x \ y) * x. [hyper(118,a,1515,a)]. 1518 K(x \ y,x) = T(y,x) / y. [para(201(a,2),1515(a,1,1)),flip(a)]. 1519 T(x,K(y \ x,y)) = x. [hyper(396,a,1517,a)]. 1520 T(x * y,K(y,x)) = x * y. [para(9(a,1),1519(a,1,2,1))]. 1521 K(x,y) \ (x * y) = y * x. [hyper(62,a,258,a(flip),b,1520,a)]. 1522 K(x,y) = (x * y) / (y * x). [hyper(156,a,1521,a),flip(a)]. 1523 K(x,y) * (y * x) = x * y. [hyper(119,a,1521,a)]. 1524 x * (y * z) != z * y | K(z,y) = x. [para(1521(a,1),114(a,1,2)),flip(b)]. 1525 x / ((y \ x) * y) = K(y,y \ x). [para(10(a,1),1522(a,2,1)),flip(a)]. 1526 K(x,y / x) * y = x * (y / x). [para(12(a,1),1523(a,1,2))]. 1527 L((x * y) \ z,x * y,K(y,x)) = (y * x) \ (K(y,x) * z). [para(1523(a,1),90(a,2,1))]. 1528 K(x,x \ y) = y / T(y,x). [para(201(a,2),1525(a,1,2)),flip(a)]. 1529 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [para(9(a,1),1292(a,1,2,1)),flip(a)]. 1530 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(62,a,1090,a(flip),b,1529,a),flip(a)]. 1531 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(165(a,2),1530(a,1,2))]. 1532 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(1325(a,1),1414(a,1,2))]. 1533 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(1517(a,1),1331(a,2,2))]. 1534 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(9(a,1),1354(a,1,1)),flip(a)]. 1535 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(523,a,1534,a)]. 1536 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(346,a,1534,a),flip(a)]. 1537 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(104,a,68,a(flip),b,1534,a),flip(a)]. 1538 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(720,a,1535,a),flip(a)]. 1539 R(T(T(x / y,z),y * u),y,u) = T((y * u) \ (x * u),z). [hyper(856,a,1456,a)]. 1540 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(378(a,1),1456(a,2,1))]. 1541 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(171(a,1),1539(a,1,1,1)),flip(a)]. 1542 (x * ((y \ x) \ x)) * z != y * (y * (x / y)) | K(y,y * (x / y)) = z. [para(1466(a,1),42(a,1)),flip(a)]. 1543 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(9(a,1),1467(a,1,1,2)),flip(a)]. 1544 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(570,a,1543,a)]. 1545 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(514,a,1543,a),flip(a)]. 1546 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [hyper(34,a,894,a,b,1543,a),flip(a)]. 1547 (((x * y) / x) \ y) / y = 1 / ((x * y) / x). [hyper(105,a,395,a(flip),b,1545,a)]. 1548 T(x,y) = (x / y) * ((x * y) / x). [hyper(262,a,883,a(flip),b,1546,a)]. 1549 x * ((y * (x \ y)) / y) = T(y,x \ y). [hyper(573,a,1548,a(flip))]. 1550 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(262,a,885,a,b,1549,a),flip(a)]. 1551 x * ((y * (x \ y)) / y) != z | T(y,y / x) = z. [para(1549(a,2),1201(a,1))]. 1552 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(10(a,1),1480(a,1,2,1)),flip(a)]. 1554 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(25(a,2),1552(a,2,2))]. 1555 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(25(a,2),1554(a,1,1))]. 1556 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(10(a,1),1503(a,1,2,2,1,2)),flip(a)]. 1557 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(262,a,378,a(flip),b,1513,a),flip(a)]. 1558 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(62,a,847,a(flip),b,1540,a)]. 1559 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(7(a,1),1540(a,1,2,1,2))]. 1560 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(62,a,847,a(flip),b,1559,a)]. 1561 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(22(a,2),1556(a,1,1))]. 1562 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [hyper(118,a,1557,a)]. 1563 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(98(a,1),1557(a,1,1)),flip(a)]. 1564 ((x * y) / z) * T(((x * y) / z) \ x,u) = (x * (y * T(y \ z,u))) / z. [para(846(a,1),1557(a,1,1)),flip(a)]. 1565 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),z) = (x * T(x \ y,z)) * (1 / x). [hyper(62,a,1073,a,b,1558,a)]. 1566 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(10(a,1),1558(a,1,2,2,1,2,2))]. 1567 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(12(a,1),1558(a,1,2,2,1,2,2)),flip(a)]. 1568 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(7(a,1),1562(a,2,2,1,2))]. 1569 K(x \ (x / (y / z)),x) * z = y * T(y \ z,x). [para(1357(a,2),1568(a,1,1))]. 1570 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(115,a,1569,a),flip(a)]. 1571 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(20(a,2),1570(a,1,1,2,2))]. 1572 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1567(a,1),270(a,1,2))]. 1573 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(378(a,1),623(a,2,1))]. 1574 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(796(a,1),399(a,1,2)),flip(a)]. 1575 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(195(a,1),958(a,2,1))]. 1576 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(230(a,1),1150(a,1,2,2))]. 1577 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(335(a,1),1346(a,1,1)),flip(a)]. 1578 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [hyper(119,a,1577,a)]. 1579 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(9(a,1),1577(a,1,2)),flip(a)]. 1580 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(181,a,1578,a,b,10,a)]. 1582 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(9(a,1),1579(a,1,1)),flip(a)]. 1583 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [hyper(119,a,1582,a)]. 1584 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1583(a,1),939(a,2,1,1))]. 1585 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(11(a,1),1489(a,2,1))]. 1586 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1585(a,1),380(a,1,1)),flip(a)]. 1587 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(33,a,179,a,b,1586,a)]. 1588 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(230(a,1),1576(a,1,2,1,2,1))]. 1589 K(x \ 1,x) * (y / T(1 / (1 / z),u)) = y / ((1 / T(z,u)) \ 1). [para(231(a,1),1061(a,1,1,2))]. 1590 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,y \ 1). [para(230(a,1),1118(a,2,3))]. 1591 K(x \ 1,x) * R(((y \ 1) * y) \ z,u,w) = (y \ 1) * (y * R(y \ ((y \ 1) \ z),u,w)). [para(294(a,2),1120(a,1,1))]. 1592 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(770,a,1124,a)]. 1593 ((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(94(a,1),1139(a,1,2))]. 1594 T(x,T(y,z)) / (T(T(y,x),z) \ x) = T(y,T(z,T(y,x))). [para(1212(a,1),1188(a,1,1))]. 1595 T(x,T(y,T(x,z))) = T(x,y). [hyper(62,a,704,a(flip),b,1594,a),flip(a)]. 1599 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(1209(a,2),389(a,1))]. 1600 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(800,a,1215,a)]. 1601 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1536(a,1),1600(a,1,1))]. 1602 x \ T(x,R(y,y \ 1,x)) = y \ ((x * y) / x). [hyper(34,a,211,a,b,1601,a)]. 1603 L((x \ 1) \ (x \ y),z,u) = (x \ 1) \ (x \ L(y,z,u)). [para(74(a,1),1364(a,1,1,2,1))]. 1604 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(10(a,1),1377(a,2,2,1,2))]. 1605 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(108,a,1379,a)]. 1606 x * L(x \ (y * 1),z,z \ 1) = y * a((y \ x) \ 1,z,z \ 1). [para(1304(a,1),1379(a,1,2)),flip(a)]. 1607 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(7(a,1),1380(a,2,1,1,1))]. 1608 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(262,a,557,a(flip),b,1607,a),flip(a)]. 1609 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(557(a,1),1608(a,1,1))]. 1610 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(115,a,1609,a),flip(a)]. 1611 (((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(20(a,2),1610(a,1,1)),flip(a)]. 1612 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(104,a,1550,a(flip),b,1382,a(flip))]. 1613 (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(88(a,1),1382(a,1,1))]. 1614 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(108,a,1385,a)]. 1615 K(x \ 1,x) * (y / T(1 / (1 / z),u)) = y / T(z,u). [para(77(a,1),1589(a,2,2))]. 1617 ((x \ 1) \ 1) * (y / T(z,u)) = x * (y / T(1 / (1 / z),u)). [para(1615(a,1),1029(a,1,2))]. 1618 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(557(a,1),1592(a,2,1))]. 1619 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(8(a,1),1605(a,1,2,2,1,2)),flip(a)]. 1620 (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(18(a,2),1619(a,1,1)),flip(a)]. 1621 x * L(x \ y,z,z \ 1) = y * a((y \ x) \ 1,z,z \ 1). [para(8(a,1),1606(a,1,2,1,2))]. 1622 (x * L(x \ y,z,z \ 1)) / a((y \ x) \ 1,z,z \ 1) = y. [hyper(105,a,1621,a,b,xx)]. 1624 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(10(a,1),1614(a,1,2,2,1))]. 1625 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(397,a,1624,a)]. 1626 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1624(a,1),397(a,1))]. 1627 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(62,a,1120,a(flip),b,1618,a)]. 1628 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(181,a,1618,a(flip),b,1378,a),flip(a)]. 1629 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(181,a,1618,a(flip),b,1120,a(flip)),flip(a)]. 1630 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(104,a,1618,a(flip),b,1378,a),flip(a)]. 1631 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(7(a,1),1618(a,1,2,1,2))]. 1632 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1618(a,1,2,1)),flip(a)]. 1635 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(9(a,1),1632(a,1,1,2,1))]. 1636 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(571,a,1635,a),flip(a)]. 1637 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(108,a,1635,a)]. 1638 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1637(a,1),1541(a,1,1)),flip(a)]. 1639 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1638(a,1),180(a,1,2)),flip(a)]. 1640 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1638(a,1),554(a,1,2))]. 1642 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(22(a,2),1629(a,1,2,1,2)),flip(a)]. 1643 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(104,a,1642,a,b,xx)]. 1645 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(62,a,1120,a(flip),b,1631,a)]. 1646 T(x,x * R(x \ 1,y,z)) = x. [hyper(181,a,1119,a(flip),b,1631,a(flip))]. 1648 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1347(a,1),1646(a,1,2))]. 1649 T(x \ R(x,y,z),x \ 1) = x \ R(x,y,z). [hyper(53,a,1648,a)]. 1650 (x \ 1) / (x \ R(x,y,z)) != u | (x \ R(x,y,z)) \ (x \ 1) = u. [para(1649(a,1),644(a,1,2))]. 1651 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(9(a,1),1645(a,1,2,2,1,2))]. 1652 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(147(a,1),1627(a,1,2,2,1,2))]. 1653 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(10(a,1),849(a,1,2,1,2))]. 1654 T(R(T(x,x * y),y,y \ 1) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(27(a,2),901(a,1,1,1))]. 1656 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(412(a,1),906(a,1,1))]. 1657 (x * K(y,y \ 1)) / z = x / (z * K(u \ 1,u)). [hyper(827,a,1008,a)]. 1660 x / (y * K(z \ 1,z)) = K(u,u \ 1) * (x / y). [hyper(62,a,952,a(flip),b,1657,a),flip(a)]. 1661 (x * K(y,y \ 1)) / (z * ((u \ 1) \ 1)) = x / (z * u). [para(963(a,1),1657(a,2,2))]. 1662 x / (y * (z * K(u \ 1,u))) = K(w,w \ 1) * (x / (y * z)). [para(830(a,1),1660(a,1,2))]. 1663 (1 / (1 / x)) / (y * z) = x / (y * ((z \ 1) \ 1)). [para(995(a,1),1661(a,1,1)),flip(a)]. 1664 K(x \ 1,x) * (y / (z * (u * K(w \ 1,w)))) = y / (z * u). [hyper(1017,a,1662,a(flip))]. 1665 x / (K(y,y \ 1) * z) = K(u \ 1,u) * (x / z). [para(1003(a,1),1664(a,1,2,2)),flip(a)]. 1666 x / (y * K(z,z \ 1)) = K(u \ 1,u) * (x / y). [para(245(a,1),1665(a,1,2))]. 1667 K(x \ 1,x) * (y / z) = y / ((z \ 1) \ 1). [para(994(a,1),1666(a,1,2)),flip(a)]. 1668 (x / y) * K(z \ 1,z) = x / ((y \ 1) \ 1). [hyper(845,a,1667,a)]. 1669 ((x \ 1) \ 1) * (y / ((z \ 1) \ 1)) = x * (y / z). [para(1667(a,1),1029(a,1,2))]. 1670 x / T(y,y \ 1) = (x / y) * K(z \ 1,z). [hyper(262,a,259,a,b,1668,a)]. 1671 (x / T(y,y \ 1)) * K(z,z \ 1) = x / y. [hyper(1007,a,1670,a(flip))]. 1672 ((x \ 1) \ 1) * (y / (((z \ y) \ 1) \ 1)) = x * z. [para(74(a,1),1669(a,2,2))]. 1673 x / (((y \ x) \ 1) \ 1) = z * (((z \ y) \ 1) \ 1). [hyper(1092,a,1672,a),flip(a)]. 1674 K(x,(L(y,z,u) * (y \ w)) \ (L(y,z,u) * w)) = K(x,T(y,L(y,z,u) * w)). [para(1476(a,2),1488(a,1,2))]. 1675 T(T(x,x * y) * y,(x * y) * (y \ 1)) = x * y. [para(375(a,1),1654(a,1,1))]. 1676 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(195(a,1),1675(a,1,2))]. 1677 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1676(a,1),23(a,1,1)),flip(a)]. 1678 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(936(a,1),1677(a,1,1))]. 1679 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(12(a,1),1678(a,1,1)),flip(a)]. 1680 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(486(a,1),1679(a,2,2))]. 1681 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(12(a,1),1680(a,1,1))]. 1682 T(x,x * (y \ 1)) = T(x,y \ x). [para(100(a,1),1681(a,1,2)),flip(a)]. 1683 L(T(x,y \ 1),z,x) = T(x,y \ x). [hyper(62,a,628,a,b,1682,a)]. 1684 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(62,a,734,a(flip),b,1656,a)]. 1686 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(20(a,2),1684(a,1,2)),flip(a)]. 1689 (x \ 1) * ((x \ R(x,y,z)) / (x \ 1)) = T((x \ 1) * R(x,y,z),x \ 1). [para(1649(a,1),1350(a,1,2,1))]. 1690 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(108,a,1574,a)]. 1691 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(8(a,1),1574(a,2,2,1,2,2))]. 1692 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). [para(1625(a,2),1691(a,1,2))]. 1693 (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). [para(22(a,2),1692(a,1,2,2,1,2)),flip(a)]. 1694 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1628(a,1,1))]. 1695 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(22(a,2),1694(a,1,2,1,1))]. 1696 T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). [para(9(a,1),1695(a,2,1,2,1))]. 1697 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1631(a,1),1651(a,1,2)),flip(a)]. 1698 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1347(a,1),1697(a,1,1)),flip(a)]. 1699 T((x \ 1) * R(x,y,z),x \ 1) = (x \ 1) * R(x,y,z). [para(1349(a,1),1689(a,1,2)),flip(a)]. 1700 T(x \ 1,R(x,y,z)) = R(x \ 1,u,x \ 1). [hyper(181,a,1699,a(flip),b,815,a)]. 1702 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(10(a,1),1690(a,1,2,2,1,2,2)),flip(a)]. 1703 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(747,a,761,a),flip(a)]. 1704 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(9(a,1),1703(a,1,2,1)),flip(a)]. 1705 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(551(a,1),1703(a,2,1))]. 1706 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(552(a,1),1704(a,1,1))]. 1707 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(570,a,1706,a)]. 1708 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(538,a,1706,a)]. 1709 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(514,a,1706,a),flip(a)]. 1710 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(108,a,1706,a)]. 1711 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(104,a,127,a(flip),b,1706,a)]. 1712 R(1 / L(x,y,z),x,1 / x) = (x / L(x,y,z)) * (x \ 1). [para(1709(a,1),501(a,1,1)),flip(a)]. 1713 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1708(a,1),277(a,1,2))]. 1714 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1710(a,1),1541(a,1,1)),flip(a)]. 1715 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1714(a,1),554(a,1,2))]. 1716 (L(x,y,z) * R(L(x,y,z) \ 1,x,1 / x)) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). [hyper(62,a,560,a,b,1712,a)]. 1717 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(62,a,1123,a(flip),b,1705,a)]. 1718 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(181,a,1705,a(flip),b,1123,a(flip)),flip(a)]. 1719 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(7(a,1),1705(a,1,2,1,2))]. 1721 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(22(a,2),1718(a,1,2,1,2)),flip(a)]. 1722 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(104,a,1721,a,b,xx)]. 1724 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(62,a,1123,a(flip),b,1719,a)]. 1725 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [hyper(62,a,1122,a(flip),b,1719,a)]. 1726 T(x,x * L(x \ 1,y,z)) = x. [hyper(181,a,842,a(flip),b,1719,a(flip))]. 1727 T(x,L(x \ 1,y,z) * x) = x. [hyper(62,a,877,a,b,1726,a)]. 1728 K(x,x * L(x \ 1,y,z)) = 1. [hyper(54,a,1726,a)]. 1729 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(335(a,1),1726(a,1,2,2))]. 1730 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(231(a,1),1727(a,1,2,1,1))]. 1731 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1729(a,1),1511(a,2,2,2))]. 1732 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1730(a,1),873(a,1,1))]. 1733 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(1730(a,1),1410(a,1,2)),flip(a)]. 1735 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(105,a,1604,a(flip),b,1724,a(flip)),flip(a)]. 1736 (((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(20(a,2),1735(a,1,1)),flip(a)]. 1737 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1719(a,1),1725(a,1,2)),flip(a)]. 1738 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1343(a,1),1737(a,1,1)),flip(a)]. 1739 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(262,a,188,a(flip),b,1731,a),flip(a)]. 1741 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1739(a,1),1361(a,1,1)),flip(a)]. 1742 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(62,a,1580,a(flip),b,1741,a)]. 1743 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(359,a,1742,a)]. 1744 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(9(a,1),1742(a,1,1,2))]. 1745 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(9(a,1),1743(a,1,3))]. 1746 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(9(a,1),1744(a,2,2))]. 1747 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(359,a,1746,a)]. 1748 L(x \ 1,x,y / (x * y)) = 1 / x. [para(651(a,2),1747(a,1,3))]. 1749 L(x \ 1,x,(x \ y) / y) = 1 / x. [para(10(a,1),1748(a,1,3,2))]. 1750 (((x \ y) / y) * x) * (1 / x) = (x \ y) / y. [para(1749(a,1),334(a,1,2))]. 1751 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(62,a,167,a(flip),b,1745,a)]. 1752 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(406(a,1),769(a,1,1)),flip(a)]. 1753 R((x * y) / (x * z),u,w) * (x * z) = x * (z * R(z \ y,u,w)). [hyper(1449,a,557,a(flip)),flip(a)]. 1754 R((x * y) / (x * z),u,w) * (x * z) = x * (R(y / z,u,w) * z). [para(557(a,2),1753(a,2,2))]. 1755 R((x * (y * z)) / (x * z),u,w) * (x * z) = x * (R(y,u,w) * z). [para(11(a,1),1754(a,2,2,1,1))]. 1756 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [hyper(252,a,1755,a)]. 1757 (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). [para(1472(a,1),548(a,1,1))]. 1758 L(x,y,T(z,z \ u)) != w | L(x,y,(z \ u) \ u) = w. [para(568(a,1),754(a,1))]. 1759 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(139(a,1),1129(a,1,1,1,1)),flip(a)]. 1760 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(1138,a,1759,a)]. 1761 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(77(a,1),1760(a,1,2,1,1))]. 1762 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(10(a,1),1374(a,1,2,1)),flip(a)]. 1763 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(100(a,1),1762(a,1,1)),flip(a)]. 1764 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(100(a,1),1763(a,1,2)),flip(a)]. 1765 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(9(a,1),1764(a,1,1)),flip(a)]. 1766 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(9(a,1),1765(a,1,2)),flip(a)]. 1767 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(98(a,1),1500(a,1,2,1,1)),flip(a)]. 1768 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(181,a,1631,a(flip),b,1767,a),flip(a)]. 1769 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(22(a,2),1561(a,1,2,1,1)),flip(a)]. 1770 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(847(a,1),1769(a,1,2))]. 1771 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1572,a,1770,a),flip(a)]. 1772 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(9(a,1),1771(a,1,2,1,2)),flip(a)]. 1773 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [para(11(a,1),1772(a,1,1,2,1,2)),flip(a)]. 1774 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(172(a,1),1772(a,1,1,2,1,2)),flip(a)]. 1775 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(559(a,1),1630(a,2,2,1))]. 1776 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(699(a,1),1696(a,1,2,1))]. 1777 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(800,a,921,a),flip(a)]. 1778 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(12(a,1),1777(a,1,2,1,2,2)),flip(a)]. 1779 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(771(a,1),1777(a,2,1))]. 1780 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(571,a,1778,a),flip(a)]. 1782 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(1551,a,1780,a),flip(a)]. 1783 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(62,a,1384,a(flip),b,1780,a)]. 1784 T(x,x / (x * y)) = T(x,y \ 1). [hyper(1298,a,1782,a),flip(a)]. 1785 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [para(1784(a,1),1612(a,1,2)),flip(a)]. 1786 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(1626,a,1785,a)]. 1787 x * ((y * (x \ 1)) / y) = T(y,x \ 1) / y. [hyper(262,a,221,a,b,1785,a),flip(a)]. 1788 ((x * (1 / y)) / x) * y = T(x,y \ 1) / x. [hyper(773,a,1787,a)]. 1789 x * ((y * (x \ 1)) / y) != z | y \ T(y,x \ 1) = z. [para(1787(a,2),291(a,1))]. 1790 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(488(a,2),1783(a,2,1,2,1)),flip(a)]. 1792 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(571,a,1779,a),flip(a)]. 1793 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(62,a,1384,a(flip),b,1779,a)]. 1794 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(7(a,1),1779(a,1,2,1,2,2))]. 1795 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(62,a,1383,a(flip),b,1794,a)]. 1796 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(181,a,1794,a(flip),b,1693,a(flip))]. 1798 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(1794(a,1),1783(a,1,2)),flip(a)]. 1799 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(262,a,1625,a(flip),b,1796,a)]. 1800 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(10(a,1),1799(a,2,1,2,1))]. 1801 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1162(a,1),1800(a,1,2,1))]. 1802 T(K(x,x \ 1),y) = T(z,y) * ((T(z,y) \ z) / z). [para(298(a,2),1801(a,2,1)),flip(a)]. 1804 T(x,T(x,y) \ 1) = x * T(K(z,z \ 1),y). [para(1802(a,2),1295(a,1,2)),flip(a)]. 1805 T(x,T(x,y) \ 1) = x * K(z,z \ 1). [para(246(a,1),1804(a,2,2))]. 1807 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(262,a,996,a,b,1805,a),flip(a)]. 1810 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(10(a,1),1793(a,1,2,2,1)),flip(a)]. 1811 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(90(a,2),1810(a,2,2,2,1))]. 1812 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(1794(a,1),1795(a,1,2)),flip(a)]. 1813 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1625(a,2),1812(a,1,1))]. 1814 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(1785(a,1),1813(a,2,2,1))]. 1815 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(1786(a,1),1814(a,1,1))]. 1816 x * (T(y,x) * L(T(y,x) \ (x \ z),u,w)) = (y * x) * L((y * x) \ z,u,w). [para(98(a,1),1131(a,2,2,1,1))]. 1817 x \ (y * (x * L(x \ (y \ z),u,w))) = T(y,x) * L(T(y,x) \ (x \ z),u,w). [hyper(104,a,1123,a(flip),b,1816,a)]. 1818 x \ (y * (x * L(x \ (y \ (z * x)),u,w))) = T(y,x) * L(T(y,x) \ T(z,x),u,w). [para(22(a,2),1817(a,2,2,1,2))]. 1819 L(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * L(T(T(x,y),y \ 1),z,u). [para(23(a,1),1249(a,2,2,1))]. 1820 (x * T(x \ y,z)) * (1 / x) = T(y * (1 / x),z). [para(70(a,1),1565(a,1,1)),flip(a)]. 1821 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(98(a,1),1820(a,1,1))]. 1823 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(9(a,1),1821(a,1,1,1)),flip(a)]. 1824 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(1823(a,2),43(a,1))]. 1825 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1347(a,1),1698(a,1,2,1)),flip(a)]. 1826 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(104,a,68,a(flip),b,1825,a),flip(a)]. 1827 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1343(a,1),1738(a,1,2,1)),flip(a)]. 1828 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(104,a,68,a(flip),b,1827,a),flip(a)]. 1829 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(1828(a,1),42(a,1))]. 1830 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(12(a,1),1792(a,2,2,1,2,1))]. 1831 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(115,a,1830,a)]. 1832 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(7(a,1),1831(a,1,1,2,1,2,2)),flip(a)]. 1833 T(x,y) * L(T(x,y) \ T(z,y),u,w) = y \ ((x * L(x \ z,u,w)) * y). [para(1717(a,1),1818(a,1,2)),flip(a)]. 1834 T(x,y) * L(T(x,y) \ T(z,y),u,w) = T(x * L(x \ z,u,w),y). [hyper(262,a,22,a,b,1833,a),flip(a)]. 1835 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [para(97(a,1),1834(a,1,2,1,2))]. 1836 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [para(226(a,1),1834(a,1,2,1,2))]. 1837 T(x,y) * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),y). [para(699(a,1),1835(a,1,2,1))]. 1838 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(108,a,1836,a)]. 1839 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [para(167(a,1),1836(a,1,2)),flip(a)]. 1840 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(1246(a,1),1836(a,1,2,1,1))]. 1841 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(1246(a,2),1836(a,1,1))]. 1842 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(335(a,1),1838(a,1,2,1,2))]. 1843 L(T(x,y \ 1),z,u) * (T(x,y \ 1) \ y) = (y / x) * L(x,z,u). [para(1235(a,1),1819(a,2,2,1))]. 1845 L(x,y,z * K(u \ 1,u)) = (K(w \ 1,w) * (z * y)) \ (K(v5 \ 1,v5) * (z * (y * x))). [para(908(a,2),950(a,1,2)),flip(a)]. 1846 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(849,a,1510,a),flip(a)]. 1847 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(714(a,1),1846(a,2,2))]. 1848 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(408,a,1847,a)]. 1849 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(262,a,1357,a(flip),b,1848,a)]. 1850 L(x * T(x \ 1,L(x,y,z)),y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [para(71(a,1),1848(a,2,1,2))]. 1851 L(x * T(x \ 1,L(x,y,z)),y,z) = K(u \ 1,u). [hyper(262,a,236,a,b,1850,a),flip(a)]. 1853 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1540(a,1),1571(a,2,1))]. 1854 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1559(a,1),1853(a,2,1,1))]. 1855 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(262,a,20,a,b,1854,a)]. 1856 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(262,a,1357,a(flip),b,1855,a)]. 1857 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(71(a,1),1855(a,2,1,2))]. 1859 R(x * T(x \ 1,R(x,y,z)),y,z) != u * w | w \ 1 = u. [para(1857(a,2),297(a,1))]. 1860 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(w \ 1,w)). [hyper(262,a,404,a(flip),b,1845,a)]. 1861 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(309,a,1860,a)]. 1863 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(563(a,2),1861(a,1,3))]. 1864 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(966(a,1),1863(a,1,3)),flip(a)]. 1865 (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(1371(a,1),1222(a,1,1))]. 1866 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1390(a,1),1865(a,1,2))]. 1867 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(618,a,1866,a),flip(a)]. 1869 K(x \ 1,x) * R(K(y \ 1,y) \ z,u,w) = (v5 \ 1) * (v5 * R(v5 \ ((v5 \ 1) \ z),u,w)). [para(294(a,2),1591(a,1,2,1,1))]. 1870 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(82(a,1),1775(a,1,1))]. 1871 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(82(a,1),1870(a,1,2,1,1))]. 1872 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(1785(a,1),1798(a,2,2,1))]. 1873 K(x \ 1,x) * R(K(y \ 1,y) \ (z * u),w,v5) = ((u \ 1) * R((u \ 1) \ z,w,v5)) * u. [hyper(262,a,1627,a(flip),b,1869,a),flip(a)]. 1875 K(x \ 1,x) * R(K(y \ 1,y) \ (z * u),w,v5) = (u \ R(u * z,w,v5)) * u. [para(1132(a,1),1873(a,2,1))]. 1876 K(x \ 1,x) * R(K(y,y \ 1) * (z * u),w,v5) = (u \ R(u * z,w,v5)) * u. [para(1012(a,1),1875(a,1,2,1))]. 1877 K(x \ 1,x) * R(y * T(z,z \ 1),u,w) = (z \ R(z * y,u,w)) * z. [para(1027(a,1),1876(a,1,2,1))]. 1878 R(K(x \ 1,x) * (y * T(z,z \ 1)),u,w) = (z \ R(z * y,u,w)) * z. [hyper(62,a,1686,a,b,1877,a)]. 1879 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(1026(a,1),1878(a,1,1)),flip(a)]. 1880 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(10(a,1),1879(a,1,1,2,1)),flip(a)]. 1881 R((x \ y) * x,z,u) / x = x \ R(y,z,u). [hyper(105,a,1880,a,b,xx)]. 1882 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(486(a,1),1880(a,2,1,2))]. 1883 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(535(a,1),1880(a,2,1,2))]. 1884 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(78(a,1),1881(a,1,1,1)),flip(a)]. 1886 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [hyper(119,a,1884,a),flip(a)]. 1887 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(105,a,1882,a(flip),b,195,a)]. 1888 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(105,a,1883,a(flip),b,503,a),flip(a)]. 1889 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(62,a,1454,a(flip),b,1888,a)]. 1890 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(385(a,1),1889(a,1,2))]. 1891 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(62,a,1453,a,b,1890,a)]. 1892 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(959,a,1891,a)]. 1893 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(62,a,1402,a(flip),b,1892,a),flip(a)]. 1894 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [hyper(118,a,1893,a)]. 1895 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(1893(a,1),250(a,1,1)),flip(b)]. 1897 (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)). [para(22(a,2),1652(a,1,2,2,1)),flip(a)]. 1898 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(180(a,1),1897(a,2,2))]. 1899 L(x,y * K(z \ 1,z),u) = (u * y) \ (K(w,w \ 1) * (u * (K(v5 \ 1,v5) * (y * x)))). [hyper(951,a,1108,a)]. 1901 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(1043(a,1),1899(a,2,2))]. 1902 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(262,a,18,a,b,1901,a),flip(a)]. 1903 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(563(a,2),1902(a,1,2))]. 1904 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(961(a,1),1902(a,1,2)),flip(a)]. 1905 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(993(a,1),1902(a,1,2)),flip(a)]. 1906 L(x,T(y,y \ 1),z) = L(x,y,z). [para(99(a,2),1904(a,1,2))]. 1907 (x * T(y,y \ 1)) * L(z,y,x) = x * (T(y,y \ 1) * z). [para(1906(a,1),88(a,1,2))]. 1908 (x * T(y,y \ 1)) * z != x * (T(y,y \ 1) * u) | L(u,y,x) = z. [para(1907(a,1),42(a,1)),flip(a)]. 1909 a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). [para(10(a,1),1757(a,1,2,1)),flip(a)]. 1911 R(R(x,y,z \ 1),y * (z \ 1),K(u,u \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(1032(a,1),1404(a,1,2)),flip(a)]. 1912 R(R(x,y,z \ 1),y * (z \ 1),K(u,u \ 1)) = R(x,y,1 / z). [hyper(262,a,20,a,b,1911,a),flip(a)]. 1914 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(832,a,1912,a),flip(a)]. 1916 R(x,y,(z \ 1) \ 1) = R(x,y,z). [para(74(a,1),1914(a,1,3)),flip(a)]. 1917 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(1916(a,1),94(a,1,1))]. 1918 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(1917(a,1),43(a,1))]. 1919 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1343(a,1),1840(a,2,1))]. 1920 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(62,a,1919,a(flip),b,1841,a),flip(a)]. 1921 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1343(a,1),1920(a,1,1)),flip(a)]. 1922 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(11(a,1),866(a,1,1,1))]. 1924 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(1922(a,1),43(a,1)),flip(a)]. 1925 (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(88(a,1),1502(a,1,2,1,1))]. 1926 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1449,a,1925,a),flip(a)]. 1927 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(1119(a,1),1926(a,2,2))]. 1928 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(408,a,1927,a),flip(a)]. 1929 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(62,a,1479,a(flip),b,1928,a),flip(a)]. 1930 L(x * R(x \ 1,x,1 / x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). [para(1928(a,1),1716(a,1,1))]. 1931 L(x * T(1 * (x \ 1),x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). [para(737(a,1),1930(a,1,1,1,2))]. 1932 L(x * T(x \ 1,x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). [para(7(a,1),1931(a,1,1,1,2,1))]. 1934 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1732(a,1),1929(a,1,1,2)),flip(a)]. 1935 K(x \ 1,x) = ((y \ 1) / (y \ L(y,z,u))) * L(y,z,u). [hyper(262,a,1851,a(flip),b,1934,a)]. 1936 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(297,a,1935,a),flip(a)]. 1938 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(262,a,1783,a(flip),b,1790,a),flip(a)]. 1939 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(1886(a,2),1938(a,1,1))]. 1940 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(252,a,1939,a),flip(a)]. 1941 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(62,a,1872,a(flip),b,1940,a),flip(a)]. 1942 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(62,a,775,a(flip),b,1940,a)]. 1943 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(1294(a,1),1941(a,1,1)),flip(a)]. 1944 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(231(a,1),1943(a,1,2,1,2,2)),flip(a)]. 1945 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(231(a,1),1944(a,1,1,2)),flip(a)]. 1946 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(9(a,1),1945(a,1,2,2)),flip(a)]. 1947 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(9(a,1),1946(a,1,2)),flip(a)]. 1948 L(x,y \ T(y,z),y) = x. [hyper(719,a,1947,a)]. 1949 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(346,a,1947,a),flip(a)]. 1950 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(115,a,1947,a)]. 1951 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(33,a,1159,a,b,1947,a),flip(a)]. 1952 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(33,a,1158,a(flip),b,1947,a),flip(a)]. 1955 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(275,a,1949,a)]. 1956 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(100(a,1),1949(a,1,1,2)),flip(a)]. 1957 T(x,R(y,y \ 1,x)) \ x = 1 / (y \ ((x * y) / x)). [para(1602(a,1),1955(a,1,2)),flip(a)]. 1958 R(x,x \ T(x,y),z) = x. [hyper(730,a,1950,a)]. 1959 ((x * y) / x) / y = x \ T(x,y). [hyper(105,a,1168,a(flip),b,1951,a)]. 1960 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(62,a,1815,a(flip),b,1951,a),flip(a)]. 1961 x \ ((y * x) / y) = y \ T(y,x). [hyper(674,a,1959,a)]. 1962 x * (y \ T(y,x)) = (y * x) / y. [para(1959(a,1),591(a,1,2))]. 1963 ((x * y) / x) * (y \ 1) = x \ T(x,y). [hyper(62,a,1536,a,b,1961,a)]. 1964 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(115,a,1952,a)]. 1965 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(104,a,10,a(flip),b,1952,a)]. 1966 L(x,y,y \ T(y,z)) = x. [hyper(750,a,1952,a(flip))]. 1967 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(758,a,1964,a)]. 1968 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(62,a,1573,a(flip),b,1967,a)]. 1969 (x \ T(x,y)) \ y = T(y,T(x,y)). [hyper(262,a,1178,a(flip),b,1965,a),flip(a)]. 1970 x * (T(x,R(y,y \ 1,x)) \ z) = (y \ ((x * y) / x)) \ z. [para(1602(a,1),1965(a,1,1)),flip(a)]. 1971 T(x,T(y,x)) \ x = y \ T(y,x). [hyper(38,a,292,a,b,1969,a)]. 1972 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(1075(a,1),1969(a,1,1))]. 1973 T(x,y) \ x = y \ T(y,x). [para(1172(a,1),1971(a,1,1))]. 1974 L(x,T(y,T(z,y)) \ y,z) = x. [para(1971(a,2),1948(a,1,2))]. 1975 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(262,a,1358,a,b,1973,a)]. 1976 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(262,a,1075,a(flip),b,1973,a),flip(a)]. 1977 T(x,T(y,x) \ y) = x. [para(1973(a,2),289(a,1,2))]. 1979 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(1973(a,2),1947(a,1,2,1))]. 1980 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(1973(a,2),1951(a,1,1)),flip(a)]. 1981 (x * y) / x = y * (T(y,x) \ y). [para(1973(a,2),1962(a,1,2)),flip(a)]. 1982 L(x,y,T(z,y) \ z) = x. [para(1973(a,2),1966(a,1,3))]. 1983 L(x,T(y,z) \ y,(y * z) / y) = x. [para(171(a,1),1974(a,1,2,1,2))]. 1984 x / (x / y) = y * (T(y,y \ x) \ y). [hyper(693,a,1981,a)]. 1985 T(x * (T(x,y) \ x),y) = x. [para(1981(a,1),171(a,1,1))]. 1986 K(x \ (x / y),x) != z \ x | T(x,y \ 1) = z. [para(1975(a,2),47(a,1))]. 1987 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(1976(a,2),411(a,1,1))]. 1988 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(33,a,1219,a,b,1979,a),flip(a)]. 1989 (x * y) / ((x * y) / x) = x * (T(x,y) \ x). [para(9(a,1),1984(a,2,2,1,2))]. 1990 x / (y \ ((y * x) / y)) = y * (T(y,x) \ y). [hyper(62,a,1216,a(flip),b,1989,a)]. 1991 (x * (T(x,y) \ x)) \ y = x \ ((x * y) / x). [hyper(151,a,1990,a)]. 1992 ((x * y) / x) * T(((x * y) / x) \ x,y) = x * K(y \ (x * (T(x,y) \ x)),y). [para(1990(a,1),1507(a,2,2,1,2))]. 1993 ((x * y) / x) \ x = y \ ((y * x) / y). [para(1981(a,2),1991(a,1,1))]. 1994 x \ (y * (T(y,x) \ y)) = ((y * x) / y) \ y. [para(1981(a,1),1993(a,2,2)),flip(a)]. 1995 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(100(a,1),1956(a,1,1)),flip(a)]. 1996 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(9(a,1),1995(a,1,1,2)),flip(a)]. 1998 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(9(a,1),1996(a,1,1)),flip(a)]. 1999 1 / (x \ ((y * x) / y)) = ((y * x) / y) \ x. [hyper(156,a,1998,a)]. 2000 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [hyper(62,a,1957,a,b,1999,a)]. 2001 (x \ ((y * x) / y)) \ y = y * (((y * x) / y) \ x). [para(2000(a,1),1970(a,1,2)),flip(a)]. 2002 x * (((x * T(y,x)) / x) \ T(y,x)) = (T(y,x) \ y) \ x. [para(172(a,1),2001(a,1,1,2)),flip(a)]. 2003 (T(x,y) \ x) \ y = y * (x \ T(x,y)). [para(172(a,1),2002(a,1,2,1)),flip(a)]. 2004 (T(x,y) \ x) * (y * (x \ T(x,y))) = y. [hyper(119,a,2003,a)]. 2005 (T(x,y) \ x) * ((x * y) / x) = y. [para(1962(a,1),2004(a,1,2))]. 2006 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(1924,a,2005,a)]. 2007 ((x * y) / x) \ y = T(x,y) \ x. [hyper(592,a,2005,a)]. 2008 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(2007(a,1),1538(a,1,2,2,1))]. 2009 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(1951(a,1),1960(a,2,2))]. 2010 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(62,a,1590,a(flip),b,2006,a)]. 2011 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(230(a,1),2010(a,2,1,2,1))]. 2012 x * K(y \ (x * (T(x,y) \ x)),y) = (x * (y * T(y \ x,y))) / x. [hyper(62,a,1564,a(flip),b,1992,a),flip(a)]. 2013 x * K(y \ (x * (T(x,y) \ x)),y) = (x * ((y \ x) * y)) / x. [para(98(a,1),2012(a,2,1,2))]. 2014 x * K(((x * y) / x) \ x,y) = (x * ((y \ x) * y)) / x. [para(1994(a,1),2013(a,1,2,1))]. 2015 K(((x * y) / x) \ x,y) = K(y \ x,y). [hyper(33,a,1514,a(flip),b,2014,a),flip(a)]. 2016 K(x / y,y) = K(y \ x,y). [para(652(a,1),2015(a,1,1))]. 2017 K(x \ (y * x),x) = K(y,x). [para(11(a,1),2016(a,1,1)),flip(a)]. 2018 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(74(a,1),2016(a,1,1)),flip(a)]. 2019 x * K(x / y,y) = (y \ x) * y. [para(2016(a,2),255(a,1,2))]. 2020 K(x / y,y) * x = (y \ x) * y. [para(2016(a,2),1517(a,1,1))]. 2021 K(T(x,y),y) = K(x,y). [para(22(a,2),2017(a,1,1))]. 2022 K(x * y,y) = K(y * x,y). [para(170(a,1),2021(a,1,1))]. 2023 K((x \ y) \ y,y) = K(x,y). [para(634(a,1),2021(a,1,1))]. 2024 (x * ((y \ x) \ x)) * K(y,x) = ((y \ x) \ x) * x. [para(2023(a,1),81(a,1,2))]. 2025 L(K(x / y,y) \ z,K(x / y,y),x) = ((y \ x) * y) \ (x * z). [para(2019(a,1),90(a,2,1))]. 2026 T(x,K(y,y \ x)) = x. [para(2018(a,1),1519(a,1,2))]. 2027 (x * ((y \ x) \ x)) * K(y,x) = y * (y * (x / y)). [hyper(262,a,1205,a(flip),b,2024,a),flip(a)]. 2028 K(x,x * (y / x)) = K(x,y). [hyper(1542,a,2027,a)]. 2029 K(x,y * x) = K(x,x * y). [para(11(a,1),2028(a,1,2,2)),flip(a)]. 2030 K(x,T(y,x \ 1)) = K(x,y). [para(1229(a,2),2028(a,1,2))]. 2031 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(79(a,1),2029(a,2,2))]. 2032 K(x,T(y,x)) = K(x,y). [para(1235(a,1),2030(a,1,2)),flip(a)]. 2033 K(T(x,T(y,x)),T(y,x)) = K(x,y). [hyper(62,a,2021,a,b,2032,a)]. 2034 K(x,(y \ x) \ x) = K(x,y). [hyper(62,a,1409,a,b,2032,a)]. 2035 K(x,x / y) = K(x,y \ x). [hyper(62,a,1411,a(flip),b,2032,a),flip(a)]. 2036 K(x,x \ (y * x)) = K(x,y). [para(22(a,1),2032(a,1,2))]. 2037 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(25(a,2),2032(a,1,2))]. 2038 K(x,y / x) = K(x,x \ y). [para(100(a,1),2032(a,1,2)),flip(a)]. 2039 K(x \ 1,y * x) = K(x \ 1,x * y). [para(1231(a,1),2032(a,1,2)),flip(a)]. 2040 x \ (y * (x / y)) = K(y,y \ x). [hyper(62,a,84,a,b,2038,a)]. 2041 x * K(y,y \ x) = y * (x / y). [para(2038(a,1),256(a,1,2))]. 2042 K(x,x \ y) * y = x * (y / x). [para(2038(a,1),1526(a,1,1))]. 2043 K(T(x,y),T(y,x)) = K(x,y). [para(1172(a,1),2033(a,1,1))]. 2044 K(x,x \ y) != z | K(x,y / x) = z. [para(2040(a,1),397(a,1))]. 2045 K(x,x \ y) = y \ T(y,x \ y). [para(887(a,2),2040(a,1,2)),flip(a)]. 2046 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(105,a,599,a,b,2042,a)]. 2047 K(x,x \ y) * z != x * (y / x) | y = z. [para(2042(a,1),42(a,1)),flip(a)]. 2048 L(x,K(y,y \ z),z) = x. [para(2045(a,2),1948(a,1,2))]. 2049 L(x,K(y,z),z * y) = x. [para(2036(a,1),2048(a,1,2))]. 2050 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(2007(a,1),2008(a,2,2))]. 2051 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(104,a,1983,a(flip),b,2050,a),flip(a)]. 2052 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [hyper(119,a,2051,a)]. 2053 (T(x,y) \ x) * (x * y) = y * x. [para(77(a,1),2052(a,1,2)),flip(a)]. 2054 K(x,y) = T(y,x) \ y. [hyper(1524,a,2053,a)]. 2055 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(1986,a,2054,a),flip(a)]. 2056 K(x,y) = ((y * x) / y) \ x. [hyper(262,a,2007,a,b,2054,a),flip(a)]. 2057 K(x,y) = (1 / T(y,x)) * y. [hyper(262,a,1462,a,b,2054,a),flip(a)]. 2058 K(x,y) = y * (T(y,x) \ 1). [hyper(262,a,1162,a,b,2054,a),flip(a)]. 2059 K(x,y) = y / T(y,x). [hyper(262,a,218,a,b,2054,a),flip(a)]. 2060 x * T(x \ 1,y) = K(x \ 1,y). [hyper(262,a,1976,a(flip),b,2054,a)]. 2061 K(x,y) = x \ T(x,y). [hyper(262,a,1973,a(flip),b,2054,a),flip(a)]. 2062 K(x,y) / y = 1 / T(y,x). [hyper(105,a,2054,a,b,1462,a)]. 2063 T(x,y) \ 1 = x \ K(y,x). [hyper(104,a,2054,a,b,1162,a),flip(a)]. 2064 T(x,y) = x / K(y,x). [hyper(156,a,2054,a(flip)),flip(a)]. 2065 T(x,y) * K(y,x) = x. [hyper(119,a,2054,a(flip))]. 2066 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(25(a,2),2054(a,2,1)),flip(a)]. 2067 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(27(a,2),2054(a,2,1)),flip(a)]. 2068 K(x,y) != z \ y | T(y,x) = z. [para(2054(a,2),47(a,1))]. 2070 K(x,y) * T(y,x) = y. [para(2054(a,2),212(a,1,1))]. 2071 T(x,y) = K(y,x) \ x. [para(2054(a,2),292(a,1,1)),flip(a)]. 2072 ((x \ y) \ y) * K(x \ y,x) = x. [para(2054(a,2),567(a,1,2))]. 2073 T(x,K(x,y)) = x. [para(2054(a,2),1977(a,1,2))]. 2074 L(x,y,K(y,z)) = x. [para(2054(a,2),1982(a,1,3))]. 2075 (x * y) / x = y * K(x,y). [para(2054(a,2),1981(a,2,2))]. 2076 T(x * K(y,x),y) = x. [para(2054(a,2),1985(a,1,1,2))]. 2077 x * (K(x,y) * z) = T(x,y) * z. [para(2054(a,2),1979(a,1,2,1))]. 2078 T(x,y) * (x \ z) = K(x,y) * z. [para(2054(a,2),1980(a,2,1))]. 2079 x / (x / y) = y * K(y \ x,y). [para(2054(a,2),1984(a,2,2))]. 2080 K(x / y,z) * x = y * T(y \ x,z). [para(2054(a,2),1988(a,1,1))]. 2081 K(x,y) * ((y * x) / y) = x. [para(2054(a,2),2005(a,1,1))]. 2082 K(x,K(x,y)) = 1. [hyper(54,a,2073,a)]. 2083 T(K(x,y),x) = K(x,y). [hyper(53,a,2073,a)]. 2084 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(2073(a,1),179(a,1,2,1)),flip(a)]. 2085 (K(x,y) * x) * z = K(x,y) * (x * z). [hyper(1381,a,2074,a),flip(a)]. 2086 a(K(x,y),x,z) = 1. [hyper(52,a,2074,a)]. 2087 L(x,y,K(y,z)) != u | u = x. [para(2074(a,1),49(a,1)),flip(a)]. 2088 K(x,x \ y) = K(x,y). [hyper(262,a,1528,a,b,2059,a)]. 2089 K(x,y) \ y != z | T(y,x) = z. [para(2059(a,2),269(a,1,1))]. 2090 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(262,a,1785,a,b,2061,a)]. 2091 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(262,a,1098,a,b,2061,a),flip(a)]. 2092 K(x,y) = (1 / x) * T(x,y). [hyper(262,a,1074,a,b,2061,a),flip(a)]. 2093 K(x,y) = T(x,y) / x. [hyper(262,a,221,a,b,2061,a),flip(a)]. 2094 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(104,a,2061,a,b,1963,a)]. 2095 T(x,y) \ K(x,y) = x \ 1. [hyper(104,a,2061,a,b,1070,a)]. 2096 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(62,a,1436,a,b,2061,a)]. 2097 T(x,y) = x * K(x,y). [hyper(119,a,2061,a(flip)),flip(a)]. 2098 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(25(a,2),2061(a,2,2)),flip(a)]. 2099 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(27(a,2),2061(a,2,2)),flip(a)]. 2100 K(x,y) != x \ z | T(x,y) = z. [para(2061(a,2),46(a,1))]. 2101 x * K(x,y) != z | T(x,y) = z. [para(2061(a,2),190(a,1,2)),flip(b)]. 2102 T(x,y) = K(x,y) * x. [para(2061(a,2),211(a,1,1)),flip(a)]. 2103 x * K(x,y) != z * u | z \ T(x,y) = u. [para(2061(a,2),347(a,1,2))]. 2104 x \ L(T(x,y),z,x) = K(x,x * y). [para(628(a,2),2061(a,2,2)),flip(a)]. 2105 L(x,K(y,z),y) = x. [para(2061(a,2),1948(a,1,2))]. 2106 R(x,K(x,y),z) = x. [para(2061(a,2),1958(a,1,2))]. 2107 K(x,y) * (x * z) = T(x,y) * z. [para(2061(a,2),1952(a,1,1))]. 2108 R(T(x,y),K(x,z),u) = T(x,y). [para(2106(a,1),27(a,2,1))]. 2109 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(2106(a,1),464(a,1,1,1)),flip(a)]. 2110 T(x,y) \ x != z | K(y,x) = z. [para(2064(a,2),269(a,1,1))]. 2111 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(1414(a,1),2064(a,2,2)),flip(a)]. 2112 (x \ y) * K(x,y / x) = y / x. [para(100(a,1),2065(a,1,1))]. 2113 T(x,y) * K(y,T(x,y)) = x. [para(2032(a,2),2065(a,1,2))]. 2114 x / T(x,y) != z | K(y,x) = z. [para(2070(a,1),281(a,1,1)),flip(b)]. 2115 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(2071(a,2),1871(a,1,2,1))]. 2116 x / (x / y) = y * K(x / y,y). [hyper(287,a,2076,a)]. 2117 (x \ y) * K(x,x \ y) = y / x. [hyper(187,a,2076,a),flip(a)]. 2118 T(T(x * K(y,x),z),y) = T(x,z). [para(2076(a,1),23(a,1,1)),flip(a)]. 2119 T(x,y) != z | z * K(y,z) = x. [para(2076(a,1),48(a,1)),flip(a)]. 2120 (x * K(y,x)) * y = y * x. [para(2076(a,1),98(a,1,2)),flip(a)]. 2121 (x * K(y,x)) \ (y * x) = y. [para(2076(a,1),173(a,1,2,2))]. 2122 (x * y) / x != z | y * K(x,y) = z. [para(2076(a,1),280(a,1,1,2))]. 2123 T(x * K(y,x),z) = (y * T(x,z)) / y. [para(2076(a,1),206(a,1,1,2,1)),flip(a)]. 2124 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(2076(a,1),388(a,1,1,2)),flip(a)]. 2125 (x * K(y,x)) \ y = y / x. [para(2076(a,1),637(a,1,2)),flip(a)]. 2126 T(x / (x / (y * K(z,y))),z) = x / (x / y). [para(2076(a,1),689(a,1,2,2)),flip(a)]. 2127 ((x * K(y * z,x)) * y) * z = (y * z) * R(x,y,z). [para(2076(a,1),554(a,1,2,1)),flip(a)]. 2128 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(2076(a,1),1182(a,1,2,1)),flip(a)]. 2129 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(2076(a,1),1761(a,1,2,1)),flip(a)]. 2130 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(2083(a,1),180(a,1,2,1)),flip(a)]. 2131 K(x,y / x) = K(x,y). [hyper(2044,a,2088,a)]. 2132 K(x,y * x) = K(x,y). [hyper(62,a,2036,a(flip),b,2088,a),flip(a)]. 2133 K(x,x * y) = K(x,y). [para(9(a,1),2088(a,1,2)),flip(a)]. 2134 T(x,K(y,x)) = x. [para(2088(a,1),2026(a,1,2))]. 2135 L(x,K(y,z),z) = x. [para(2088(a,1),2048(a,1,2))]. 2136 T(x,K(y,R(x,z,u))) = x. [hyper(126,a,2134,a)]. 2137 T(x,K(y,L(x,z,u))) = x. [hyper(124,a,2134,a)]. 2138 T(x,K(y,T(x,z))) = x. [hyper(122,a,2134,a)]. 2139 T(K(x,y),y) = K(x,y). [hyper(53,a,2134,a)]. 2140 K(x,y) * y = y * K(x,y). [para(2134(a,1),98(a,1,2))]. 2141 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(2134(a,1),178(a,1,2,1)),flip(a)]. 2142 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(2134(a,1),180(a,1,2,1)),flip(a)]. 2144 K(x \ y,x) = K(y,x). [hyper(262,a,1518,a,b,2093,a)]. 2145 K(x,y \ 1) / y = (x * (1 / y)) / x. [hyper(105,a,2093,a,b,1788,a)]. 2146 K(x,y) * x != z | T(x,y) = z. [para(2093(a,2),250(a,1,1)),flip(b)]. 2147 K(x,y) != z | x \ T(x,y) = z. [para(2093(a,2),291(a,1))]. 2149 a(x,y,x) \ T(z * a(u,w,u),v5) = z * K(z * a(u,w,u),v5). [hyper(104,a,2097,a,b,756,a)]. 2150 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(62,a,1595,a,b,2097,a)]. 2151 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(2097(a,2),20(a,2,2)),flip(a)]. 2152 T(x,y) != x * z | K(x,y) = z. [para(2097(a,2),42(a,1))]. 2153 x \ T(x,y) != z | K(x,y) = z. [para(2097(a,2),266(a,1,2))]. 2154 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(2097(a,2),408(a,2,2))]. 2155 (K(x,y) / R(x,z,u)) * x = T(x,y) / R(x,z,u). [hyper(105,a,2102,a,b,1636,a),flip(a)]. 2156 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(62,a,25,a,b,2102,a),flip(a)]. 2157 T(x,y) / x != z | K(x,y) = z. [para(2102(a,2),281(a,1,1)),flip(b)]. 2158 L(x \ y,x,K(y,z)) = (K(y,z) * x) \ T(y,z). [para(2102(a,2),90(a,2,2))]. 2159 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(2102(a,2),176(a,1,1))]. 2160 K(x,y) * T(x,y) = T(T(x,y),y). [para(2021(a,1),2102(a,2,1)),flip(a)]. 2161 T(x,K(y,y * T(x,z))) = x. [para(2133(a,2),2138(a,1,2))]. 2162 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(2139(a,1),179(a,1,2,1)),flip(a)]. 2163 T(K(x,y),y \ 1) = K(x,y). [para(2139(a,1),1235(a,1,1))]. 2164 K(x \ y,x) = a(z,u,z) \ K(y,x). [hyper(262,a,420,a,b,2144,a),flip(a)]. 2165 K(x / y,y) = K(x,y). [hyper(62,a,2016,a,b,2144,a)]. 2166 K(x * y,y) = K(x,y). [hyper(62,a,2017,a(flip),b,2144,a),flip(a)]. 2167 K(x * y,x) = K(y,x). [para(9(a,1),2144(a,1,1)),flip(a)]. 2168 K(x,y / x) = K(y,y / x). [para(77(a,1),2144(a,1,1))]. 2169 K(x \ (x * y),x) = K(y,x). [hyper(62,a,2144,a,b,2167,a)]. 2170 a(x,y,x) \ K(z * u,z) = K(u,z). [hyper(62,a,420,a,b,2167,a)]. 2171 L(x,y * z,K(z,y)) = x. [para(2167(a,1),2074(a,1,3))]. 2172 R(x * y,K(y,x),z) = x * y. [para(2167(a,1),2106(a,1,2))]. 2173 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(2136(a,1),23(a,1,1)),flip(a)]. 2174 L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). [hyper(262,a,2049,a,b,2171,a)]. 2175 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(62,a,1527,a(flip),b,2171,a)]. 2176 K(x,y) = x * (((y * x) / y) \ 1). [hyper(262,a,1537,a,b,2056,a),flip(a)]. 2177 K(x,y) = x / ((y * x) / y). [hyper(262,a,395,a,b,2056,a),flip(a)]. 2178 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(104,a,2056,a,b,1537,a),flip(a)]. 2179 T((x * y) / x,z) \ T(y,z) = K(T(y,z),x). [para(388(a,1),2056(a,2,1)),flip(a)]. 2180 K(x,y) / x = 1 / ((y * x) / y). [para(2056(a,2),1547(a,1,1))]. 2183 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(2058(a,2),89(a,1,2,2)),flip(a)]. 2184 x * (K(y,z) / z) = x * (1 / T(z,y)). [hyper(57,a,2062,a)]. 2185 T(x,y) = (K(y,x) / x) \ 1. [hyper(151,a,2062,a(flip)),flip(a)]. 2187 T(x,y) = 1 / (x \ K(y,x)). [hyper(156,a,2063,a),flip(a)]. 2189 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(2063(a,1),277(a,1,2))]. 2190 T(x,x \ K(y,x)) = T(x,x \ 1). [para(2063(a,1),1807(a,1,2))]. 2191 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(2063(a,1),1836(a,1,2,1))]. 2192 T(x,y) * K(y,T(x,y)) != z | z = x. [para(2075(a,1),282(a,1))]. 2193 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(2075(a,1),95(a,1,1))]. 2194 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(2075(a,2),457(a,1,2))]. 2195 x * (y * K(x,y)) = T(x,y) * y. [para(2075(a,1),603(a,2,2)),flip(a)]. 2196 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(2075(a,1),762(a,1,1))]. 2197 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(2075(a,1),766(a,1,1))]. 2198 T(T(x * K(y,x),z),x * y) = L(T(x,z),u,x). [para(2075(a,1),865(a,1,1,1))]. 2199 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(2075(a,1),1544(a,2,1,2))]. 2200 T(x * K(y,x),L(x,z,u) * y) = L(x,y,L(x,z,u)). [para(2075(a,1),1585(a,1,1))]. 2201 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1635(a,1),2075(a,1,1))]. 2202 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1706(a,1),2075(a,1,1))]. 2203 K(x \ y,x) * (y / x) = x \ y. [para(10(a,1),2081(a,1,2,1))]. 2204 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(79(a,1),2081(a,1,2,1))]. 2205 (x * T(y,z)) \ (x * K(y,z)) = L(y \ 1,T(y,z),x). [para(2095(a,1),90(a,1,1)),flip(a)]. 2206 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(34,a,1639,a,b,2120,a),flip(a)]. 2207 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(2120(a,1),79(a,1,1))]. 2208 x / ((y * K(z,y)) * ((z \ 1) \ 1)) = (1 / (1 / x)) / (z * y). [para(2120(a,1),1663(a,1,2)),flip(a)]. 2209 T(x,y \ x) = x * K(y,x). [hyper(891,a,2125,a)]. 2210 (x * y) / x = K(x,y) * y. [hyper(262,a,2075,a,b,2140,a)]. 2211 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(53,a,2161,a)]. 2212 K(x,x / y) = K(y,x). [hyper(62,a,2131,a(flip),b,2168,a),flip(a)]. 2213 K(x,y \ x) = K(y,x). [hyper(62,a,2035,a(flip),b,2212,a)]. 2214 K(x \ y,y) = K(y,x). [para(74(a,1),2212(a,1,2)),flip(a)]. 2215 L(x,y,K(z,y)) = x. [para(2212(a,1),2074(a,1,3))]. 2216 a(K(x,y),y,z) = 1. [para(2212(a,1),2086(a,1,1))]. 2217 R(x,K(y,x),z) = x. [para(2212(a,1),2106(a,1,2))]. 2218 L(x,y \ z,K(y,z)) = x. [para(2088(a,1),2215(a,1,3))]. 2219 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(2217(a,1),465(a,1,1,1)),flip(a)]. 2220 L(x,y \ z,K(y,z)) != u | x = u. [para(2218(a,1),49(a,2))]. 2221 K(x \ (x * y),z) = K(y,z). [para(66(a,1),2169(a,1,1)),flip(a)]. 2222 x / (y / (y / x)) = K(x,x \ y). [para(691(a,1),2177(a,2,2)),flip(a)]. 2223 T(x,y \ x) != x * z | K(y,x) = z. [para(2209(a,2),42(a,1))]. 2224 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [hyper(105,a,922,a,b,2210,a(flip))]. 2225 K(x,x \ y) * (x \ y) = y / x. [para(10(a,1),2210(a,1,1)),flip(a)]. 2226 K((x / y) \ x,z) = K(y,z). [para(12(a,1),2221(a,1,1,2))]. 2227 K((x \ y) \ y,z) = K(T(x,y),z). [para(636(a,1),2221(a,1,1,2))]. 2228 K((x \ 1) \ 1,y) = K(x,y). [para(230(a,1),2226(a,1,1,1))]. 2229 K(1 / (1 / x),y) = K(x,y). [para(230(a,2),2226(a,1,1))]. 2230 K(1 / x,y) = K(x \ 1,y). [para(232(a,1),2226(a,1,1,1)),flip(a)]. 2231 K(R(x,y,x),z) = K(x,z). [para(472(a,2),2228(a,1,1))]. 2232 K(T(1 / x,y) \ 1,z) = K(T(x \ 1,y) \ 1,z). [para(677(a,1),2228(a,1,1,1)),flip(a)]. 2233 K(K(x \ 1,x) * y,z) = K(y,z). [para(990(a,2),2228(a,1,1))]. 2234 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(1114(a,1),2228(a,1,1)),flip(a)]. 2235 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2228(a,1),2120(a,1,1,2))]. 2236 K(R(x,y,x),R(z,u,z) * w) = K(x,z * w). [hyper(262,a,1425,a(flip),b,2231,a),flip(a)]. 2237 K(x * a(y,z,y),u) = K(x,u). [para(479(a,1),2231(a,1,1))]. 2238 x * K(R(x,y,x),z) = T(x,z). [para(2231(a,2),2097(a,2,2)),flip(a)]. 2239 K(L(x,y,x),z) = K(x,z). [para(416(a,2),2229(a,1,1))]. 2240 K(x * K(y \ 1,y),z) = K(x,z). [para(962(a,2),2229(a,1,1))]. 2241 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(1112(a,2),2229(a,1,1))]. 2242 L(x,y,x) * K(x,z) = T(L(x,y,x),z). [para(2239(a,1),2097(a,2,2)),flip(a)]. 2243 x \ y != (z * y) / (y * z) | T(y,z) = x. [para(1522(a,1),2068(a,1)),flip(a)]. 2245 (R(T(x,y),z,u) * K(x,w)) * v5 = R(T(x,y),z,u) * (K(x,w) * v5). [para(2108(a,1),465(a,1,1,1)),flip(a)]. 2247 K(x \ (x / y),x) != z | K(y \ 1,x) = z. [para(1975(a,2),2110(a,1))]. 2248 K(x,x \ y) != z | K(x,y) = z. [para(1528(a,2),2114(a,1))]. 2250 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(25(a,2),2153(a,1,2))]. 2251 x \ L(T(x,y),z,x) != u | K(x,x * y) = u. [para(628(a,2),2153(a,1,2))]. 2252 K(x \ y,x) != z | K(y,x) = z. [para(1518(a,2),2157(a,1))]. 2253 (x * y) \ ((y * x) * z) = K(y,x) * z. [para(2172(a,1),494(a,1,1))]. 2254 K(T(x,y) / y,z) = K(y \ x,z). [para(814(a,2),2237(a,1,1))]. 2255 K(x,y) != z | K(x,x * y) = z. [para(9(a,1),2248(a,1,2))]. 2257 K(x,y) != z | K(y * x,y) = z. [para(9(a,1),2252(a,1,1))]. 2258 K(x,y) != z | K(x * y,y) = z. [para(2017(a,1),2252(a,1))]. 2260 K(x * y,x) != z | K(y * x,x) = z. [para(2167(a,2),2258(a,1))]. 2261 x * (y * T(y \ (x \ 1),z)) = K((x * y) \ 1,z). [hyper(1653,a,2060,a)]. 2262 x * T(x \ 1,y) = K(1 / x,y). [hyper(262,a,2230,a,b,2060,a),flip(a)]. 2263 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(62,a,1856,a(flip),b,2060,a)]. 2264 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(62,a,1849,a(flip),b,2060,a)]. 2265 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(62,a,1506,a(flip),b,2060,a)]. 2266 (x * y) * T((x * y) \ x,z) = x * K(y \ 1,z). [para(2060(a,1),714(a,2,2))]. 2267 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(2060(a,1),1505(a,1,2)),flip(a)]. 2268 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(2060(a,1),1560(a,2,1))]. 2269 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(2060(a,1),1568(a,1,1))]. 2271 x \ (T(x,y) * z) = K(x,y) * z. [hyper(108,a,2077,a)]. 2272 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(104,a,98,a(flip),b,2077,a),flip(a)]. 2273 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(104,a,10,a(flip),b,2077,a),flip(a)]. 2274 L(x,y,x) = K(z,x) * T(x,x * z). [hyper(33,a,1288,a(flip),b,2077,a)]. 2275 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(1217,a,2077,a(flip)),flip(a)]. 2276 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(2077(a,1),14(a,2,2,1)),flip(a)]. 2277 T(x,y) * z != x * u | K(x,y) * z = u. [para(2077(a,1),42(a,1))]. 2278 T(x,y \ x) * z = x * (K(y,x) * z). [para(2213(a,1),2077(a,1,2,1)),flip(a)]. 2279 T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). [hyper(181,a,2078,a,b,133,a)]. 2280 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(108,a,2078,a)]. 2281 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(62,a,2077,a,b,2078,a)]. 2283 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(2061(a,2),2078(a,1,2)),flip(a)]. 2284 T(x * K(x \ y,x),y) = L(x,z,x). [para(2079(a,1),654(a,1,1))]. 2285 K(1 / x,y) / x = T(1 / x,y). [hyper(516,a,2107,a)]. 2286 K(x,y) * (x * (y \ 1)) = (y \ 1) * x. [hyper(262,a,1240,a(flip),b,2107,a),flip(a)]. 2287 K(x,y) \ (T(x,y) * z) = x * z. [hyper(108,a,2107,a)]. 2288 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(104,a,98,a(flip),b,2107,a)]. 2289 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(27(a,2),2107(a,2,1))]. 2291 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(2107(a,1),267(a,1))]. 2292 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(179(a,1),2107(a,1,2))]. 2293 K(x,y) * (R(z,u,w) * x) = T(x,y) * R(T(z,x),u,w). [para(180(a,1),2107(a,1,2))]. 2294 K(x,y) * ((x * y) * z) = T(x * y,y) * z. [para(2166(a,1),2107(a,1,1))]. 2295 (x \ y) * K(x,y) = y / x. [para(2131(a,1),2112(a,1,2))]. 2296 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(104,a,2116,a(flip),b,668,a)]. 2298 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(2119,a,2118,a)]. 2299 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(390,a,2118,a)]. 2300 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(2150(a,2),2101(a,1))]. 2301 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(2176(a,2),1366(a,2,2))]. 2302 (x * K(y,x)) \ 1 = x \ K(x,y). [para(2075(a,1),2178(a,1,1))]. 2303 1 / (x * K(y,x)) = K(x,y) / x. [para(2075(a,1),2180(a,2,2)),flip(a)]. 2304 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(2190(a,1),199(a,1,2))]. 2305 K(x,y) * (x \ y) = y / x. [para(2088(a,1),2225(a,1,1))]. 2306 K(a(x,y,z),(x * y) * z) * (a(x,y,z) \ ((x * y) * z)) = x * (y * z). [hyper(262,a,148,a(flip),b,2305,a),flip(a)]. 2307 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(622(a,1),2227(a,1,1,1)),flip(a)]. 2308 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(973(a,1),2233(a,1,1))]. 2309 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(991(a,1),2233(a,1,1)),flip(a)]. 2310 K((1 / (1 / x)) * (x \ y),z) = K(y,z). [para(1022(a,1),2233(a,1,1))]. 2311 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(1058(a,1),2233(a,1,1))]. 2312 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(1015(a,2),2233(a,1,1))]. 2313 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(993(a,1),2240(a,1,1)),flip(a)]. 2314 K(T(x,y) / y,z) = K(x / T(y,x),z). [para(637(a,2),2254(a,2,1))]. 2316 L(K(1 / x,x),y,z) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). [para(2262(a,1),1932(a,1,1,1))]. 2317 x \ y != K(x,z) * u | T(x,z) * u = y. [para(2271(a,1),46(a,1)),flip(a)]. 2318 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(2271(a,1),190(a,1,2)),flip(b)]. 2319 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(115,a,2273,a)]. 2320 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(2273(a,1),42(a,1))]. 2321 K(x,y) * (x \ 1) = x \ K(x,y). [para(2095(a,1),2273(a,1,2))]. 2322 K(x,y) * K(y,x) = 1. [hyper(37,a,2063,a,b,2280,a),flip(a)]. 2323 T(x,y) \ z != x \ u | K(x,y) * u = z. [para(2280(a,1),46(a,1)),flip(a)]. 2324 1 / K(x,y) = K(y,x). [hyper(115,a,2322,a)]. 2325 K(x,y) \ 1 = K(y,x). [hyper(108,a,2322,a)]. 2326 x * (K(y,z) * K(z,y)) = x. [para(2322(a,2),8(a,1,2))]. 2327 K(x,y) * z != 1 | K(y,x) = z. [para(2322(a,1),42(a,1)),flip(a)]. 2328 K(x,y) \ 1 != z | K(y,x) = z. [para(2322(a,1),266(a,1,2))]. 2329 1 / K(x,y) != z | K(y,x) = z. [para(2322(a,1),281(a,1,1)),flip(b)]. 2330 x * (K(y,z) * K(z,y)) != u * w | u \ x = w. [para(2322(a,2),189(a,1,2))]. 2331 K(x,y) != 1 / z | K(y,x) = z. [para(2324(a,1),44(a,1))]. 2334 L(L(K(x,y),z,u),K(y,x),w) = L((w * K(y,x)) \ w,z,u). [para(2325(a,1),338(a,1,1,1))]. 2335 T(T(x,K(y,z)),K(z,y)) = x. [para(2325(a,1),1235(a,1,2))]. 2336 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(2325(a,1),1231(a,1,2))]. 2337 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(2325(a,1),1241(a,1,1,2))]. 2338 T(x,K(y,z)) != u | T(u,K(z,y)) = x. [para(2325(a,1),1239(a,1,2))]. 2339 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(2325(a,1),1768(a,2,1,2,1))]. 2340 x * K(K(y,z),x) = T(x,K(z,y)). [hyper(2119,a,2335,a)]. 2341 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(580,a,2335,a)]. 2342 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(2287(a,1),190(a,1,2)),flip(b)]. 2343 (K(x,y) / x) \ 1 = x * K(y,x). [hyper(151,a,2303,a)]. 2344 1 / ((x \ 1) * K(y,x \ 1)) = K(1 / x,y) / (x \ 1). [para(2230(a,2),2303(a,2,1))]. 2345 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(25(a,2),2319(a,1,2,1))]. 2346 K(K(x,y),z) = K(z,K(y,x)). [hyper(33,a,2097,a(flip),b,2340,a),flip(a)]. 2347 K(x * K(y,z),x) = K(x,K(z,y)). [hyper(2257,a,2346,a)]. 2348 x * K(K(y,z),x) != u | T(x,K(z,y)) = u. [para(2346(a,2),2101(a,1,2))]. 2349 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(2346(a,1),2107(a,1,1))]. 2350 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(262,a,2133,a,b,2347,a),flip(a)]. 2352 K(x * y,x) = a(z,u,z) * K(y,x). [hyper(119,a,2170,a),flip(a)]. 2355 K(x * y,x) = K(y,x) * a(z,u,z). [para(2170(a,1),439(a,1,1)),flip(a)]. 2356 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(2340(a,1),2192(a,1))]. 2357 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(186(a,1),2300(a,1,2))]. 2359 K(x * y,y) = K(x,y) * a(z,u,z). [hyper(2260,a,2355,a)]. 2361 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(170(a,1),2356(a,1,1)),flip(b)]. 2362 (x * (y * T(y \ z,u))) / (x * z) = K((x * z) / (x * y),u). [hyper(105,a,846,a(flip),b,2080,a)]. 2364 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [para(74(a,1),2080(a,1,1,1)),flip(a)]. 2365 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(2080(a,1),182(a,2)),flip(a)]. 2366 R(K(x,y),x,z) = K(x,y). [hyper(1918,a,2085,a)]. 2367 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(104,a,1413,a,b,2090,a)]. 2368 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(62,a,1832,a(flip),b,2090,a)]. 2369 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(2090(a,1),1382(a,2,2))]. 2370 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(2090(a,1),1691(a,1,2))]. 2371 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(2091(a,2),1559(a,2,1))]. 2372 T(x * K(x * y,x),y) = R(x,z,x). [hyper(262,a,740,a,b,2123,a),flip(a)]. 2373 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(104,a,2123,a,b,2075,a(flip))]. 2374 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(2123(a,2),273(a,1,1)),flip(b)]. 2375 T(x * K(y,x),z) != u | T(x,z) * K(y,T(x,z)) = u. [para(2123(a,2),2122(a,1))]. 2376 T(T(x * K(x * y,x),z),y) = T(R(x,u,x),z). [para(2372(a,1),23(a,1,1)),flip(a)]. 2377 L(x,y,x) = T(x,x * z) * K(z,x). [hyper(262,a,2274,a,b,2141,a)]. 2379 K(x,1 / y) / y = (x * (1 / y)) / x. [para(230(a,2),2145(a,1,1,2))]. 2380 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(2145(a,2),2180(a,2,2))]. 2382 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(119,a,2175,a)]. 2383 K(x,y) * (K(y,x) * z) = z. [hyper(37,a,2175,a(flip),b,2175,a),flip(a)]. 2384 (x * y) \ K(x,y) = (y * x) \ 1. [para(8(a,1),2175(a,1,2))]. 2386 (x * y) \ T(x,y) = (y * x) \ x. [para(2070(a,1),2175(a,1,2)),flip(a)]. 2387 (x * y) \ (T(x,y) * z) = (y * x) \ (x * z). [para(2107(a,1),2175(a,1,2))]. 2388 K(x \ y,x) * (x * (y / x)) = y. [hyper(2047,a,2383,a),flip(a)]. 2389 K(x,y) \ z = K(y,x) * z. [hyper(267,a,2383,a),flip(a)]. 2390 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(182,a,2383,a),flip(a)]. 2391 x / (K(y,z) * x) = K(z,y). [hyper(115,a,2383,a)]. 2392 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(33,a,2273,a,b,2383,a),flip(a)]. 2393 K(x,y) * (T(y,x) * z) = y * z. [hyper(33,a,2107,a,b,2383,a),flip(a)]. 2394 a(x,y,x) = K(z,u) * K(z * u,z). [hyper(33,a,2355,a(flip),b,2383,a)]. 2395 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(104,a,2383,a(flip),b,2078,a),flip(a)]. 2396 (x * y) \ ((x * K(z,u)) * (K(u,z) * y)) = a(x,K(z,u),K(u,z) * y). [para(2383(a,1),14(a,2,1,2)),flip(a)]. 2397 K(x,y) * z != u | K(y,x) * u = z. [para(2383(a,1),42(a,1)),flip(a)]. 2398 x * (K(y,z) * u) != u | K(z,y) = x. [para(2383(a,1),43(a,1)),flip(a)]. 2399 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(2383(a,1),170(a,1,1)),flip(a)]. 2400 K(x,y) \ z != u | K(y,x) * z = u. [para(2383(a,1),266(a,1,2))]. 2401 x / (K(y,z) * x) != u | K(z,y) = u. [para(2383(a,1),281(a,1,1)),flip(b)]. 2402 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(2383(a,1),367(a,1,1))]. 2403 x * L(y,K(z,u) * x,K(u,z)) = K(u,z) * ((K(z,u) * x) * y). [para(2383(a,1),88(a,1,1))]. 2404 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(2383(a,1),90(a,2,2))]. 2405 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(2383(a,1),94(a,1,2))]. 2407 T(x,y) * (K(y,x) * z) = x * z. [para(2383(a,1),2077(a,1,2)),flip(a)]. 2408 K(x,y) \ (y * z) = T(y,x) * z. [hyper(262,a,2107,a(flip),b,2389,a),flip(a)]. 2409 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(104,a,2389,a,b,98,a)]. 2410 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(62,a,916,a(flip),b,2389,a),flip(a)]. 2411 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(62,a,624,a(flip),b,2389,a),flip(a)]. 2412 K(x,y) * (K(y,x) * z) != u | u = z. [para(2389(a,1),190(a,1,2))]. 2413 K(x,y) * (K(y,x) * z) != u | z = u. [para(2389(a,1),191(a,1,2))]. 2414 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(2389(a,1),253(a,1,1))]. 2416 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(2389(a,1),518(a,1,2))]. 2417 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(2389(a,1),458(a,1,1,3))]. 2418 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(2389(a,1),1405(a,1,1))]. 2419 L(K(x,y / x) * z,K(y / x,x),y) = ((x \ y) * x) \ (y * z). [para(2389(a,1),2025(a,1,1))]. 2420 (x * K(y,z)) \ x = K(z,y). [hyper(673,a,2391,a)]. 2421 K(x,y) != z / u | K(y,x) * z = u. [para(2391(a,1),44(a,1))]. 2423 K(x,y) != z | (u * K(y,x)) \ u = z. [para(2391(a,1),673(a,1))]. 2424 (x \ 1) / (x \ K(x,y)) = K(y,x). [para(2321(a,1),2391(a,1,2))]. 2425 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(262,a,1439,a,b,2420,a)]. 2426 x / K(y,z) = x * K(z,y). [hyper(156,a,2420,a)]. 2427 (x * K(y,z)) * K(z,y) = x. [hyper(119,a,2420,a)]. 2428 a(x,y,x) = K(z,u) * K(u,u \ z). [hyper(38,a,2164,a(flip),b,2420,a)]. 2430 x * K(y,z) != u | u * K(z,y) = x. [para(2420(a,1),114(a,1,2)),flip(b)]. 2431 (x * K(y,z)) * K(z,y) != u | u = x. [para(2420(a,1),190(a,1,2))]. 2432 (x / y) * y = (x * K(z,u)) * K(u,z). [para(2420(a,1),131(a,2,2))]. 2433 x / K(y,z) != u | x * K(z,y) = u. [para(2420(a,1),277(a,1,2))]. 2434 L(K(x,y),z * K(y,x),u) = (u * (z * K(y,x))) \ (u * z). [para(2420(a,1),90(a,1,1))]. 2436 (x * K(y,z)) \ x != u | K(z,y) = u. [para(2426(a,1),269(a,1,1))]. 2437 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(2426(a,1),487(a,1,1,1))]. 2438 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(2426(a,1),487(a,1,1))]. 2439 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(z,y) \ x,u). [para(2426(a,1),378(a,1,1,1))]. 2440 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(2426(a,1),1085(a,1,1,2))]. 2441 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(2427(a,1),618(a,1,1,2))]. 2442 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(119,a,2384,a),flip(a)]. 2443 T(x,y) / ((y * x) \ x) = x * y. [hyper(156,a,2386,a)]. 2444 T(x,y) = (x * y) * ((y * x) \ x). [hyper(119,a,2386,a),flip(a)]. 2445 ((x \ y) * x) \ x = y \ T(x,x \ y). [para(10(a,1),2386(a,1,1)),flip(a)]. 2446 T(x,y) \ (x * z) = K(y,x) * z. [para(9(a,1),2392(a,1,2)),flip(a)]. 2447 ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). [para(99(a,1),2392(a,2,1)),flip(a)]. 2448 K(x,x / y) * ((x / y) \ z) = (y \ x) \ z. [para(642(a,1),2392(a,2,1))]. 2449 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(2054(a,2),2392(a,1,2))]. 2450 T(x,y \ x) \ z = K(x,y) * (x \ z). [para(2214(a,1),2392(a,1,1)),flip(a)]. 2451 x * (T(x,y) \ z) = K(y,x) * z. [hyper(267,a,2393,a),flip(a)]. 2452 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(62,a,2078,a,b,2393,a)]. 2454 K(x,y) * T(T(y,x),z) = y * K(T(y,x),z). [para(2097(a,2),2393(a,1,2))]. 2455 T(x,y) * (T(y,x) * z) = x * (y * z). [para(2393(a,1),2077(a,1,2)),flip(a)]. 2456 T(x,y) \ z != x \ u | K(y,x) * z = u. [para(2395(a,1),46(a,1))]. 2457 K(x,T(x,y) \ z) = K(x,K(y,x) * z). [para(2395(a,1),2088(a,1,2))]. 2458 K(x,y) * (x / y) = x / T(y,x). [hyper(947,a,2407,a),flip(a)]. 2459 T(x,y) * (K(y,x) * ((x \ 1) * z)) = L(z,x \ 1,x). [hyper(262,a,192,a(flip),b,2407,a),flip(a)]. 2461 K(x,y) * (y * z) = y * (K(x,y) * z). [para(2407(a,1),2393(a,1,2))]. 2462 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(2409(a,1),1645(a,1,2,2,1))]. 2463 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(2409(a,1),1724(a,1,2,2,1))]. 2464 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [para(10(a,1),2442(a,2,2,1)),flip(a)]. 2465 T(x,y / x) / (y \ x) = x * (y / x). [para(12(a,1),2443(a,1,2,1))]. 2466 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(25(a,2),2446(a,1,1))]. 2467 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(2446(a,1),190(a,1,2)),flip(b)]. 2468 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(2446(a,1),1204(a,1))]. 2469 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(262,a,2078,a,b,2451,a)]. 2470 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(2458(a,1),147(a,1,2,1))]. 2471 x \ R(x,y,x) = K(z,u) * K(z * u,z). [hyper(62,a,480,a(flip),b,2394,a)]. 2472 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(22(a,2),2400(a,1))]. 2473 x * y != z | K(u,x) * (T(x,u) * y) = z. [para(2287(a,1),2400(a,1))]. 2474 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(2321(a,1),2401(a,1,2))]. 2477 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(2273(a,1),2412(a,1,2)),flip(b)]. 2478 K(x,y) * a(z,u,z) != w | K(y * x,y) = w. [para(2394(a,2),2412(a,1,2)),flip(b)]. 2479 K(x,x \ y) = K(x,y) * a(z,u,z). [hyper(2397,a,2428,a(flip)),flip(a)]. 2482 T(x,y) != z | x * K(x,y) = z. [para(2064(a,2),2433(a,1))]. 2483 K(x,x * y) * a(z,u,z) = K(x,y). [para(9(a,1),2479(a,1,2)),flip(a)]. 2484 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(2479(a,2),1257(a,1,2))]. 2485 K(x,x * y) * (a(z,u,z) * w) = K(x,y) * w. [para(2483(a,1),433(a,1,1)),flip(a)]. 2486 a(x,y,x) \ z = (z / K(u,w)) * K(u,u * w). [para(2483(a,1),838(a,2,1,2))]. 2487 K(x,K(y,y * z)) = K(x,K(y,z)). [para(2483(a,1),1418(a,1,2)),flip(a)]. 2488 K(x,K(y,z * y)) = K(x,K(y,z)). [para(2029(a,2),2487(a,1,2))]. 2489 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(a(y,z,u),y * (z * u))). [para(79(a,1),2488(a,1,2,2))]. 2490 L(T(x,y),z,x) = L(x,u,x) * K(x,y). [hyper(262,a,428,a(flip),b,2242,a)]. 2492 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(119,a,2253,a)]. 2494 (x * (y / x)) * z = y * (K(x,y) * z). [para(887(a,1),2278(a,1,1))]. 2495 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(890(a,1),2278(a,1,1)),flip(a)]. 2496 K(x \ 1,y) = K(y,x). [hyper(1524,a,2286,a)]. 2497 K(x \ 1,y * x) = K(y,x). [hyper(262,a,2166,a(flip),b,2496,a),flip(a)]. 2498 K(1 / x,y) = K(y,x). [hyper(62,a,2230,a,b,2496,a)]. 2499 K(x,y \ 1) = K(y,x). [hyper(62,a,2228,a(flip),b,2496,a),flip(a)]. 2500 T(x \ 1,y) = x \ K(y,x). [hyper(104,a,2496,a(flip),b,2060,a),flip(a)]. 2501 K(x,y) * ((y \ 1) * z) = T(y \ 1,x) * z. [para(2496(a,1),2107(a,1,1))]. 2502 T(x,y \ 1) \ z = K(x,y) * (x \ z). [para(2496(a,1),2392(a,1,1)),flip(a)]. 2503 T(x,K(y,x \ 1)) = x. [para(2499(a,2),2073(a,1,2))]. 2504 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(2503(a,1),1276(a,1,2,2))]. 2505 T(x \ 1,y) = T(x,y) \ 1. [hyper(262,a,2063,a,b,2500,a),flip(a)]. 2506 x * (y \ K(x,y)) = (y \ 1) * x. [para(2500(a,1),98(a,1,2))]. 2507 x * T(x \ 1,y) != z | K(y,x) = z. [para(2500(a,2),190(a,1,2)),flip(b)]. 2509 T(x \ 1,y \ 1) = x \ K(x,y). [para(2496(a,1),2500(a,2,2))]. 2510 T((x / y) \ 1,y) = (y \ x) \ 1. [hyper(781,a,2505,a),flip(a)]. 2511 T(1 / x,y) \ 1 = T(x,y). [hyper(695,a,2505,a)]. 2512 T(L(x,y,z) \ 1,u) = L(T(x,u),y,z) \ 1. [para(25(a,2),2505(a,2,1))]. 2513 T(x,y) * (T(x \ 1,y) * z) = L(z,T(x,y) \ 1,T(x,y)). [para(2505(a,2),192(a,1,2,1))]. 2514 T(K(x,y),z) \ 1 = T(K(y,x),z). [para(2325(a,1),2505(a,1,1)),flip(a)]. 2515 1 / T(x,y) = T(1 / x,y). [hyper(156,a,2511,a)]. 2516 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(2515(a,1),1278(a,2,2))]. 2517 1 / T(K(x,y),z) = T(K(y,x),z). [para(2324(a,1),2515(a,2,1))]. 2518 x * ((x * y) \ K(x,y)) = ((x * y) \ 1) * x. [para(2133(a,1),2506(a,1,2,2))]. 2519 T(x \ K(x,y),y) = x \ 1. [hyper(1239,a,2509,a)]. 2520 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(2509(a,1),1079(a,1,2))]. 2521 (x \ K(x,y)) \ y = y / (x \ 1). [para(2509(a,1),1233(a,1,1))]. 2522 (x \ K(x,y)) * y = y * (x \ 1). [para(2509(a,1),1241(a,1,1))]. 2523 T(x \ K(y,x \ 1),y) = x \ 1. [para(2499(a,2),2519(a,1,1,2))]. 2524 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(2520(a,1),178(a,1,2,1))]. 2525 x * (y * T(y \ (x \ 1),z)) = K(z,x * y). [hyper(2507,a,847,a),flip(a)]. 2527 K(x \ 1,y) != z | K(y,x) = z. [para(2060(a,1),2507(a,1))]. 2528 K(x,y) != z | K(y,x \ 1) = z. [para(231(a,1),2527(a,1,1))]. 2529 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(2499(a,2),2527(a,1))]. 2530 K(x,R(y,z,y)) != u | K(x,y) = u. [para(472(a,2),2529(a,1,2))]. 2531 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(677(a,1),2529(a,1,2))]. 2532 K(x,((y \ 1) * z) \ u) != w | K(x,((1 / y) * z) \ u) = w. [para(1114(a,1),2529(a,1,2))]. 2535 (x \ K(y,x)) * K(z,z \ 1) = K(y,x) / x. [para(2304(a,1),1671(a,1,1))]. 2536 K((x \ 1) * (x * y),z) = K(L(y,x,x \ 1),z). [para(500(a,1),2309(a,1,1)),flip(a)]. 2537 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(2303(a,1),2309(a,1,1,1)),flip(a)]. 2538 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(2299(a,1),2314(a,1,1,1))]. 2539 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(2336(a,1),2515(a,1,2)),flip(a)]. 2540 R(T(x,K(y,z)),u,x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). [para(2337(a,1),1287(a,1,2,1))]. 2541 (x \ 1) * K(y,x \ 1) = x \ K(y,1 / x). [hyper(262,a,2075,a(flip),b,2367,a)]. 2542 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(262,a,2075,a(flip),b,2379,a)]. 2543 K(x,y) * ((y * x) * z) = (x * y) * z. [para(9(a,1),2382(a,1,2)),flip(a)]. 2544 T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. [para(2399(a,1),2431(a,1,1)),flip(b)]. 2546 (x / y) \ T(x,y \ 1) = ((x \ (x / y)) * x) \ x. [para(2055(a,1),2445(a,2,2)),flip(a)]. 2547 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(2209(a,1),2450(a,1,1))]. 2548 (x * y) \ (x * (y * z)) = L(z,T(y,x),T(x,y)). [hyper(104,a,2455,a(flip),b,1176,a)]. 2550 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(2455(a,1),1174(a,1,1))]. 2551 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(2461(a,1),267(a,1))]. 2552 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(1081,a,2464,a)]. 2553 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [hyper(262,a,1515,a,b,2464,a),flip(a)]. 2554 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(262,a,1965,a,b,2469,a)]. 2555 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(572,a,2492,a)]. 2557 ((x * y) / x) * z = y * (K(x,y) * z). [para(665(a,2),2494(a,1,1))]. 2558 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(10(a,1),2543(a,1,2,1))]. 2559 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1635(a,2),2543(a,1,2))]. 2560 ((x * y) / x) \ z = K(y,x) * (y \ z). [para(2075(a,2),2547(a,1,1))]. 2561 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(2116(a,2),2547(a,1,1))]. 2562 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(2552(a,1),1443(a,1,2,1)),flip(a)]. 2563 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [para(1973(a,2),2554(a,1,1))]. 2564 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(2557(a,1),765(a,1,1))]. 2565 K(x,y) * (((z * x) / z) * u) = T(x,y) * (K(z,x) * u). [para(2557(a,2),2107(a,1,2))]. 2566 ((x * y) / x) \ (y * z) = K(y,x) * z. [para(9(a,1),2560(a,2,2))]. 2567 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(1987,a,2563,a),flip(a)]. 2568 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(262,a,2078,a,b,2566,a),flip(a)]. 2570 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1509(a,1),2247(a,1))]. 2571 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(1848(a,2),2247(a,1))]. 2572 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(2061(a,2),2291(a,1,2))]. 2574 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(2281(a,1),2318(a,1))]. 2575 K(x,y) * (((z * x) / z) * u) != w | T(x,y) * (K(z,x) * u) = w. [para(2557(a,2),2342(a,1,2))]. 2579 T(x,y) * (T(y,x) * z) != u | x * (y * z) = u. [para(2107(a,1),2467(a,1,2))]. 2580 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(2383(a,1),2467(a,1,2))]. 2583 R(x,y,x) = T(x,z) * K(x * z,x). [hyper(2317,a,2471,a),flip(a)]. 2584 x \ R(x,y,x) != K(z,u) * w | K(z * u,z) = w. [para(2471(a,2),42(a,1))]. 2585 L(K(x * y,x),T(x,y),z) = (z * T(x,y)) \ (z * R(x,u,x)). [para(2583(a,2),18(a,2,2,2))]. 2587 K(x,y \ z) * T(y,z) != u | T(y \ z,x) \ z = u. [para(634(a,2),2477(a,1,2))]. 2589 L(T(x,y),z,x) = K(x,y) * L(x,u,x). [hyper(62,a,2490,a,b,2084,a)]. 2590 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(2303(a,1),2126(a,1,1,2))]. 2591 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(2590(a,1),98(a,1,2)),flip(a)]. 2592 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(749,a,2130,a),flip(a)]. 2593 T(x,R(K(x,y),z,u)) = x. [hyper(182,a,2130,a)]. 2594 K(x,R(K(x,y),z,u)) = 1. [hyper(54,a,2593,a)]. 2595 R(K(x,y),z,u) * L(x,w,v5) = L(x,w,v5) * R(K(x,y),z,u). [para(2593(a,1),179(a,1,2,1))]. 2596 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(2142(a,1),42(a,1)),flip(a)]. 2597 T(x,L(K(y,x),z,u)) = x. [hyper(182,a,2162,a)]. 2598 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(2123(a,2),2179(a,1,1,1))]. 2599 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(105,a,2196,a,b,2210,a(flip))]. 2600 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(2196(a,2),2177(a,2,2)),flip(a)]. 2601 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(262,a,2075,a(flip),b,2197,a)]. 2602 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(2197(a,2),2056(a,2,1)),flip(a)]. 2603 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(975(a,1),2241(a,1,1,2))]. 2604 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(1037(a,1),2241(a,1,1,2))]. 2605 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(847(a,1),2265(a,1,2))]. 2606 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1563(a,1),2265(a,1,2))]. 2607 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(1774(a,1),2265(a,1,2))]. 2608 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(716,a,2267,a),flip(a)]. 2609 (x * K((x \ y) \ 1,z)) / y = T(x / y,z). [hyper(105,a,2267,a(flip),b,378,a)]. 2610 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(2267(a,2),42(a,1))]. 2611 (x \ y) * K(T(x,y) \ 1,z) = y * T(y \ (x \ y),z). [para(634(a,2),2267(a,2,2,1,1)),flip(a)]. 2612 T(x,y) * K((x \ T(y,x)) \ 1,z) = y * T(y \ T(x,y),z). [para(699(a,1),2267(a,2,2,1,1)),flip(a)]. 2613 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(699(a,2),2267(a,2,2,1,1))]. 2614 K((x / y) \ 1,z) = K(y / x,z). [hyper(34,a,2080,a,b,2269,a),flip(a)]. 2615 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(9(a,1),2269(a,2,2,1))]. 2616 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(74(a,1),2269(a,1,1,1,1))]. 2617 K(x / y,z) = K(z,y / x). [hyper(2527,a,2614,a),flip(a)]. 2618 K((x / y) \ 1,x) = K(x \ y,x). [hyper(262,a,2016,a(flip),b,2614,a),flip(a)]. 2619 K(1 / (x / y),z) = K(y / x,z). [hyper(62,a,2230,a,b,2614,a)]. 2620 K(x / (y * x),z) = K(y \ 1,z). [para(11(a,1),2614(a,1,1,1)),flip(a)]. 2621 K((x / (y * x)) \ 1,z) = K(y,z). [para(11(a,1),2614(a,2,1))]. 2622 K(x / y,z) != u | K(z,y / x) = u. [para(2614(a,1),2527(a,1))]. 2623 K(x,(y / z) \ 1) = K(x,z / y). [hyper(2528,a,2617,a)]. 2625 K(x \ (y \ x),x) = K(y \ 1,x). [para(74(a,1),2618(a,1,1,1)),flip(a)]. 2626 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(2620(a,1),2019(a,1,2)),flip(a)]. 2627 K(x,1 / (y / z)) = K(x,z / y). [hyper(1447,a,2623,a)]. 2628 K(x,y / (z * y)) = K(x,z \ 1). [para(11(a,1),2623(a,1,2,1)),flip(a)]. 2629 a(x,y,x) \ K(z \ u,u) = K(z \ 1,u). [hyper(62,a,2164,a(flip),b,2625,a)]. 2630 K(x,y / (z * y)) = K(x,1 / z). [para(11(a,1),2627(a,1,2,2)),flip(a)]. 2631 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(2426(a,1),2627(a,2,2))]. 2632 ((x * y) \ y) * K(x * y,1 / x) = y / (x * y). [para(2630(a,1),2112(a,1,2))]. 2633 K(x \ 1,y / z) != u | K(x,z / y) = u. [para(2496(a,2),2622(a,1))]. 2634 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(2499(a,2),2622(a,1))]. 2635 K(x * (y \ 1),x) = K(y \ x,x). [hyper(37,a,2170,a,b,2629,a)]. 2636 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(2178(a,1),2635(a,1,1,2)),flip(a)]. 2638 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(95(a,2),2634(a,1,2,1))]. 2639 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(2298(a,1),266(a,1,2))]. 2640 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(1010(a,1),2312(a,1,1,1))]. 2641 K(((1 / x) / y) \ z,u) = K(((x \ 1) / y) \ z,u). [para(1084(a,1),2312(a,1,1,1))]. 2642 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(1342(a,1),2312(a,1,1,1))]. 2643 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(2364(a,2),182(a,2)),flip(a)]. 2644 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [para(373(a,1),2364(a,1,2,1))]. 2645 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(2373(a,1),190(a,1,2)),flip(b)]. 2646 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(2079(a,2),2373(a,1,2,1))]. 2647 (x * y) \ (T(x,y) * R(T(z,x),u,w)) = (y * x) \ (R(z,u,w) * x). [para(180(a,1),2387(a,2,2))]. 2648 K(x,y) * ((y / x) \ z) = (x \ y) \ z. [para(2212(a,1),2448(a,1,1))]. 2649 (x * (y / x)) * ((y / x) \ z) = y * ((x \ y) \ z). [para(2648(a,1),2494(a,2,2))]. 2650 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(2107(a,1),2495(a,1,2))]. 2651 ((x * y) \ 1) * x = x * ((y * x) \ 1). [para(2384(a,1),2518(a,1,2)),flip(a)]. 2652 K(x,y) * K(z,z \ 1) = y * (K(x,y) / y). [para(2535(a,1),933(a,1,2)),flip(a)]. 2653 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(2553(a,1),42(a,1))]. 2654 (x \ y) * K(x,1 / x) = (1 / (1 / x)) \ y. [hyper(262,a,247,a(flip),b,2561,a)]. 2656 K(x \ R(x,y,z),R(x,u,w)) = R(x,u,w) \ R(x,u,w). [para(635(a,1),2067(a,1,1,1)),flip(a)]. 2657 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(635(a,1),2099(a,1,2,1)),flip(a)]. 2660 T(T(x * K(x * y,x),z),y) = R(T(x,z),u,x). [hyper(262,a,27,a,b,2376,a),flip(a)]. 2665 K(x,x * y) * (z * a(u,w,u)) = K(x,y) * z. [para(437(a,1),2485(a,1,2))]. 2666 a(x,y,x) \ z = (z * K(u,w)) * K(w,w * u). [para(2426(a,1),2486(a,2,1))]. 2667 (x \ K(y,z)) * K(z,y) != u | K(z,y) * (K(y,z) / x) = u. [para(642(a,1),2544(a,1,1))]. 2668 L(x,T(y,z),T(z,y)) != u | L(x,y,z) = u. [para(2548(a,1),411(a,1))]. 2669 (x * y) \ (T(x,y) * z) = L(T(y,x) \ z,y,x). [hyper(2668,a,1177,a),flip(a)]. 2671 T(x,T(y,x)) * (T(y,x) * z) != u | x * (y * z) = u. [para(1172(a,2),2579(a,1,1))]. 2672 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),w,x). [para(2350(a,1),2660(a,1,1,1,2))]. 2673 (x / R(y,z,y)) * y = (x * K(u,w)) * K(w,w * u). [hyper(62,a,839,a(flip),b,2666,a)]. 2674 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(62,a,2387,a(flip),b,2669,a),flip(a)]. 2675 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [para(9(a,1),2674(a,1,1))]. 2676 L(x,T(y,z),z) = L(x,y,z). [hyper(751,a,2675,a(flip))]. 2677 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(262,a,2049,a,b,2676,a)]. 2678 L(x,y / z,z) = L(x,z \ y,z). [para(100(a,1),2676(a,1,2)),flip(a)]. 2679 L(x,T(y,z),z \ y) = L(x,y,z \ y). [para(889(a,1),2676(a,1,2)),flip(a)]. 2680 L(x,T(y,z),T(z,y)) = L(x,y,T(z,y)). [para(1172(a,1),2676(a,1,2))]. 2681 L(x,((y \ z) \ z) \ u,(y \ z) \ z) = L(x,u / T(y,y \ z),(y \ z) \ z). [para(259(a,2),2678(a,1,2)),flip(a)]. 2682 L(x,T(y,y \ z) \ u,T(y,y \ z)) != w | L(x,u / T(y,y \ z),(y \ z) \ z) = w. [para(2678(a,1),1758(a,1))]. 2683 L(x,y,T(z,y)) = L(x,y,z). [hyper(2668,a,2680,a),flip(a)]. 2684 L(x,y,z / y) = L(x,y,y \ z). [para(100(a,1),2683(a,1,3)),flip(a)]. 2685 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [para(633(a,1),2683(a,1,3))]. 2686 L(x \ y,x,x \ z) = z \ ((z / x) * y). [hyper(62,a,449,a(flip),b,2684,a),flip(a)]. 2687 T(x,y) \ ((y \ x) * z) = x \ ((x / y) * z). [hyper(62,a,452,a(flip),b,2686,a)]. 2688 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [para(9(a,1),2686(a,1,1)),flip(a)]. 2689 L(x,y,y \ 1) != z | (1 / y) * (y * x) = z. [para(2688(a,1),136(a,1))]. 2690 K(x,y) * ((x \ y) * z) = (y / x) * z. [hyper(2456,a,2687,a)]. 2691 L(x,y,y \ 1) \ ((L(x,y,y \ 1) / (y \ 1)) * z) = T(L(x,y,y \ 1),y \ 1) \ ((y * x) * z). [para(540(a,1),2687(a,1,2,1)),flip(a)]. 2692 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [para(637(a,2),2690(a,1,2,1))]. 2693 x * ((y / T(z,y)) * u) != (y / z) * u | K(z,y) = x. [para(2692(a,1),43(a,1)),flip(a)]. 2694 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(2677(a,1),317(a,1))]. 2695 L(x,y \ z,y) != u | L(x,z / y,y) = u. [para(100(a,1),2694(a,1,2))]. 2699 R(L(x,y,x),z,u) != w | L(R(x,z,u),v5,x) = w. [para(429(a,2),2694(a,1))]. 2705 L(x,y \ z,T(y,y \ z)) != u | L(x,z / y,y) = u. [para(2683(a,2),2695(a,1))]. 2706 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(2096(a,2),2153(a,1))]. 2707 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(262,a,607,a(flip),b,2155,a),flip(a)]. 2708 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(2199(a,1),358(a,1,1))]. 2709 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(62,a,1566,a(flip),b,2261,a)]. 2710 (1 / x) * (y * T(y \ x,z)) = K(((1 / x) * y) \ 1,z). [para(77(a,1),2261(a,1,2,2,1,2))]. 2711 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [para(98(a,1),2261(a,1,2))]. 2712 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(2060(a,1),2263(a,1,1))]. 2713 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(2091(a,2),2263(a,1,1)),flip(a)]. 2714 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(231(a,1),2712(a,1,1,1)),flip(a)]. 2715 R(K((x / y) \ 1,z),y,u) = K(((x * u) / (y * u)) \ 1,z). [para(95(a,1),2712(a,2,1,1))]. 2716 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(2713(a,1),2712(a,1,1)),flip(a)]. 2717 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(2060(a,1),2264(a,1,1))]. 2718 L(K(1 / x,y),z,u) = K(L(x,z,u) \ 1,y). [para(2262(a,1),2264(a,1,1))]. 2719 K(L(x,y,z) \ 1,x) = K(u \ 1,u). [hyper(1069,a,2717,a),flip(a)]. 2720 K(x \ 1,L(x,y,z)) = K(u \ 1,u). [hyper(1066,a,2717,a),flip(a)]. 2721 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(231(a,1),2717(a,1,1,1)),flip(a)]. 2722 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1728(a,1),2717(a,1,1)),flip(a)]. 2723 L(K(x \ 1,x),y,z) = K(L(u,w,v5) \ 1,u). [hyper(262,a,1064,a,b,2719,a)]. 2724 K(L(x,y,z) \ 1,x) = K(u \ 1,L(u,w,v5)). [hyper(262,a,2719,a,b,2720,a)]. 2725 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(262,a,2230,a,b,2718,a),flip(a)]. 2726 K(x,L(y \ 1,z,u) \ 1) * w = L(K(y,x),z,u) \ w. [para(2721(a,1),2389(a,1,1)),flip(a)]. 2727 L(K(x,y),z,u) != w | K(y,L(x \ 1,z,u)) = w. [para(2721(a,1),2527(a,1))]. 2728 L(K(x \ 1,L(x,y,z)),u,w) = K(L(v5,v6,v7) \ 1,v5). [para(2720(a,2),2723(a,1,1))]. 2729 K(1 / L(1 / x,y,z),u) = L(K(x,u),y,z). [para(232(a,1),2725(a,1,1,1)),flip(a)]. 2730 K(x,1 / L(1 / y,z,u)) = 1 / L(K(y,x),z,u). [para(2729(a,1),2324(a,1,2)),flip(a)]. 2731 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [hyper(249,a,2266,a)]. 2732 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(104,a,2268,a(flip),b,847,a)]. 2734 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1384(a,1),2368(a,1,1))]. 2735 x * K(y,1 / (x \ z)) = z * ((y * (z \ x)) / y). [para(230(a,2),2370(a,1,2,2))]. 2736 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(2060(a,2),2616(a,1,1))]. 2737 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(2616(a,2),2268(a,1,2))]. 2739 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(2039(a,2),2626(a,2,2))]. 2740 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [hyper(262,a,2078,a,b,2644,a)]. 2741 (L(x \ 1,x,y) * (y * x)) * ((y / L(x \ 1,x,y)) \ z) = y * ((L(x \ 1,x,y) \ y) \ z). [para(333(a,1),2649(a,1,1,2))]. 2742 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(108,a,2735,a)]. 2743 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(231(a,1),2737(a,1,2,1,1))]. 2744 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(340(a,1),2742(a,1,2,2,1,2))]. 2745 L((x \ y) \ (K(y,x) * z),x \ y,K(x,y)) = (y / x) \ z. [para(2305(a,1),2404(a,2,1))]. 2746 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(2389(a,1),2404(a,1,1))]. 2747 T(x,y) * (T(x \ 1,y) * z) = L(z,x \ 1,x). [para(2501(a,1),2459(a,1,2))]. 2748 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(2505(a,1),2747(a,1,2,1))]. 2750 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(618,a,2550,a),flip(a)]. 2751 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(2550(a,1),618(a,1))]. 2752 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(262,a,1867,a(flip),b,2750,a),flip(a)]. 2753 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(1149(a,1),2570(a,1,2))]. 2754 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(459(a,1),2601(a,1,2,2)),flip(a)]. 2755 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(2601(a,1),2436(a,1,1))]. 2756 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(262,a,2142,a(flip),b,2754,a),flip(a)]. 2758 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(2714(a,1),2754(a,2,2))]. 2760 T(x,y) \ T(z * T(z \ x,x),y) != u | K((x \ z) \ 1,T(x,y)) = u. [para(2267(a,2),2639(a,1,2,1))]. 2761 K(x,y * T(z,u \ z)) != w | K(x,y * T(z,u \ 1)) = w. [para(1682(a,1),2706(a,1,2,2))]. 2762 K(L(x,y,z) \ 1,L(x,u,w)) = K(L(v5,v6,v7) \ 1,v5). [hyper(62,a,2717,a(flip),b,2728,a)]. 2764 K(L(x,y,z) \ 1,L(x,u,w)) = K(v5 \ 1,L(v5,v6,v7)). [hyper(262,a,2724,a(flip),b,2762,a),flip(a)]. 2765 K(L(x,y,z) \ 1,L(x,u,w)) * K(L(v5,v6,v7),v5 \ 1) = 1. [para(2764(a,2),2322(a,1,1))]. 2766 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(2084(a,1),2109(a,1,1))]. 2767 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(2142(a,1),2219(a,1,1))]. 2768 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(1193,a,2292,a(flip)),flip(a)]. 2769 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(262,a,1192,a(flip),b,2293,a),flip(a)]. 2770 K(1 / x,y) / (x \ 1) = 1 / (x \ K(y,1 / x)). [para(2541(a,1),2344(a,1,2)),flip(a)]. 2771 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(10(a,1),2369(a,1,2,1))]. 2772 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(2369(a,1),1811(a,1,1)),flip(a)]. 2773 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(2425(a,2),2436(a,1))]. 2774 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(2302(a,1),2537(a,1,1,1)),flip(a)]. 2775 K(x,y) * (((y * x) / y) * z) = x * z. [hyper(262,a,2407,a(flip),b,2565,a),flip(a)]. 2776 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(10(a,1),2775(a,1,2,1,1))]. 2777 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(2776(a,1),2412(a,1,2)),flip(b)]. 2778 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(1887(a,1),2606(a,1,2)),flip(a)]. 2779 (x \ y) * K(z,T(x,y)) = y * T(y \ (x \ y),z). [para(2496(a,1),2611(a,1,2))]. 2780 K(x \ R(x,y,z),R(x,u,w)) != v5 | 1 = v5. [para(2656(a,2),222(a,1))]. 2781 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(262,a,65,a(flip),b,2657,a),flip(a)]. 2783 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(2267(a,1),2709(a,1,1))]. 2784 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(854(a,1),2710(a,1,2)),flip(a)]. 2785 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(2736(a,1),281(a,1,1)),flip(b)]. 2786 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(104,a,2740,a(flip),b,1159,a)]. 2788 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(2767(a,1),466(a,1))]. 2789 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(62,a,1842,a,b,2183,a)]. 2790 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(2645,a,2206,a)]. 2791 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(2289(a,1),2391(a,1,2))]. 2792 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(2289(a,1),2401(a,1,2))]. 2793 L(L(K(x,y),z,u),K(y,x),w) = L(K(x,y),z,u). [para(2420(a,1),2334(a,2,1))]. 2795 T(x,y) * (T(x \ 1,y) * z) = L(z,T(x \ 1,y),T(x,y)). [para(2505(a,2),2513(a,2,2))]. 2796 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2060(a,1),2571(a,1,1))]. 2799 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),w,x). [para(2097(a,2),2672(a,1,1,1))]. 2800 R(T(x,K(y,z)),u,x) = T(x,x * K(y,z)). [hyper(2356,a,2799,a)]. 2801 R(K(x \ y,x),y,z) = K(((x * z) / (y * z)) \ 1,x). [para(2618(a,1),2715(a,1,1))]. 2802 R(K(x \ (y / z),x),y / z,z) = K(((x * z) / y) \ 1,x). [para(12(a,1),2801(a,2,1,1,2))]. 2803 (x \ y) \ (K(y,x) * z) = (y / x) \ z. [hyper(2220,a,2745,a)]. 2805 K(L(x,y,z),L(x,u,w) \ 1) = K(L(v5,v6,v7),v5 \ 1). [hyper(2327,a,2765,a)]. 2806 K(L(x,y,z),L(x,u,w) \ 1) = K(v5,v5 \ 1). [hyper(262,a,2239,a(flip),b,2805,a),flip(a)]. 2807 K(x,L(x,y,z) \ 1) = K(u,u \ 1). [hyper(62,a,2239,a(flip),b,2806,a)]. 2808 x \ K(y,L(y,z,u) \ 1) = 1 / x. [hyper(104,a,2807,a,b,298,a(flip))]. 2809 L(x,T(y \ 1,z),T(y,z)) = L(x,y \ 1,y). [hyper(62,a,2747,a(flip),b,2795,a),flip(a)]. 2811 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(2191(a,1),2580(a,1))]. 2812 (1 / (1 / x)) / (y * z) = x / (((y \ 1) \ 1) * z). [para(2235(a,1),2208(a,1,2)),flip(a)]. 2813 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(2364(a,1),2362(a,1,1,2)),flip(a)]. 2814 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [hyper(2430,a,2439,a)]. 2815 T(x,y) * K((x \ T(y,x)) \ 1,z) = T(y \ x,z) * y. [hyper(262,a,381,a(flip),b,2612,a),flip(a)]. 2816 T(x,y) * K(T(x \ y,x) \ 1,z) = T(y \ x,z) * y. [para(215(a,2),2815(a,1,2,1,1))]. 2817 T(x,y) * K(z,T(x \ y,x)) = T(y \ x,z) * y. [para(2496(a,1),2816(a,1,2))]. 2818 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(62,a,1773,a(flip),b,2613,a),flip(a)]. 2819 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(2818(a,1),42(a,1))]. 2820 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(77(a,1),2642(a,1,1,1,1)),flip(a)]. 2821 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(520(a,1),2716(a,1,1,1)),flip(a)]. 2822 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(231(a,1),2743(a,2,1,1))]. 2823 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(9(a,1),2822(a,1,2,2)),flip(a)]. 2824 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(22(a,2),2822(a,1,2,2))]. 2825 x * (K(x,y) * ((x \ 1) * z)) = L(K(x,y) * z,x \ 1,x). [para(2823(a,2),192(a,1,2))]. 2826 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(2318,a,2825,a),flip(a)]. 2827 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(2383(a,1),2826(a,1,1)),flip(a)]. 2828 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [hyper(33,a,2748,a,b,2827,a),flip(a)]. 2829 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [para(2210(a,2),2828(a,1,2))]. 2830 K(R(x,y,x),R(x,y,x) * z) * T(x * L(z,u,w),x) = L(z,u,w) * T(R(x,y,x),R(x,y,x) * z). [para(815(a,1),2768(a,1,2))]. 2831 K(R(x,y,x),R(x,y,x) * z) * T(x * R(z,u,w),x) = R(z,u,w) * T(R(x,y,x),R(x,y,x) * z). [para(815(a,1),2769(a,1,2))]. 2832 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(299,a,2783,a)]. 2833 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [hyper(62,a,2234,a(flip),b,2784,a)]. 2834 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [hyper(2421,a,2813,a)]. 2835 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(34,a,384,a,b,2814,a)]. 2836 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(9(a,1),2814(a,1,1,2,1)),flip(a)]. 2838 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(10(a,1),2833(a,2,2,2,1))]. 2839 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1368(a,1),2834(a,1,1,2))]. 2841 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(2397,a,2839,a),flip(a)]. 2842 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(2383(a,1),2839(a,1,2,2)),flip(a)]. 2843 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(104,a,68,a(flip),b,2841,a),flip(a)]. 2844 (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(104,a,2843,a,b,1578,a)]. 2846 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [hyper(119,a,2835,a)]. 2847 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(2836(a,2),43(a,1))]. 2848 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(376(a,1),2846(a,1,2)),flip(a)]. 2851 a(x,y,x) \ T(z * a(u,w,u),v5) = z * K(z,v5). [para(2237(a,1),2149(a,2,2))]. 2852 a(x,y,x) \ T(z * a(u,w,u),v5) = T(z,v5). [hyper(262,a,2097,a,b,2851,a),flip(a)]. 2853 T(x * a(y,z,y),u) = a(w,v5,w) * T(x,u). [hyper(119,a,2852,a),flip(a)]. 2854 T(a(x,y,x) * z,u) = a(w,v5,w) * T(z,u). [para(437(a,2),2853(a,1,1))]. 2855 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(27(a,2),2307(a,1,1))]. 2856 K(1 / L(x,y,z),x) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). [para(2725(a,1),2316(a,1,1))]. 2857 x * L(a(K(y,z),u,u \ x),K(y,z) * x,K(z,y)) = K(z,y) * ((K(y,z) * u) * (u \ x)). [para(617(a,1),2403(a,2,2))]. 2858 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(262,a,321,a(flip),b,2722,a),flip(a)]. 2860 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1343(a,1),2858(a,1,2))]. 2861 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(55,a,2860,a)]. 2862 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(53,a,2861,a)]. 2863 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1471(a,2),2862(a,1,1))]. 2864 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(2778(a,2),2753(a,1))]. 2865 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(1311(a,2),2772(a,1,2))]. 2866 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(2785,a,1968,a),flip(a)]. 2867 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(2866(a,1),1969(a,1,1)),flip(a)]. 2868 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(262,a,1972,a(flip),b,2867,a),flip(a)]. 2869 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(1199,a,2868,a),flip(a)]. 2870 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(1199,a,2869,a),flip(a)]. 2872 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(1195,a,2870,a)]. 2873 T(x,(y / z) \ 1) = T(x,z / y). [para(77(a,1),2870(a,1,2,1)),flip(a)]. 2875 T(x,(x / y) \ 1) = T(x,x \ y). [para(77(a,1),2872(a,1,2,2)),flip(a)]. 2876 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(2872(a,1),169(a,1,2))]. 2877 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(1244(a,1),2872(a,1,2,2))]. 2878 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(2872(a,1),1291(a,1,1))]. 2879 T(x * (y / x),(y / z) \ 1) = T(x * (y / x),y \ z). [hyper(262,a,1223,a(flip),b,2873,a),flip(a)]. 2880 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(2178(a,1),2873(a,1,2))]. 2881 (x / y) \ T(x,x \ y) = x * (y / x). [para(2875(a,1),1234(a,1,2))]. 2882 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(77(a,1),2876(a,1,2,2))]. 2883 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(11(a,1),2881(a,2,2))]. 2884 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(22(a,2),2883(a,1,2,2))]. 2885 (x / (y * x)) \ T(x,y) = x * y. [para(1172(a,1),2884(a,1,2))]. 2886 T(x,x \ y) / y = x / ((x \ y) * x). [hyper(283,a,2885,a)]. 2887 (x / (x * y)) \ T(x,y * K(x,y)) = x * (y * K(x,y)). [para(2120(a,1),2885(a,1,1,2))]. 2888 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(2872(a,1),2886(a,1,1))]. 2889 K(x,y \ 1) * (y \ x) = y \ T(x,y \ 1). [hyper(2323,a,2878,a)]. 2890 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(526(a,1),2878(a,2,2))]. 2891 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(115,a,2889,a)]. 2892 (T(x,y \ 1) / (y \ x)) \ x = (x \ (y \ x)) * x. [hyper(151,a,2888,a(flip))]. 2893 x / T(x * (y / x),y \ x) = L((y / x) \ 1,y / x,x). [para(2879(a,1),1282(a,1,2))]. 2894 L(((x / y) / x) \ 1,(x / y) / x,x) = x / T(x * ((x / y) / x),y). [para(77(a,1),2893(a,1,2,2)),flip(a)]. 2895 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(1492(a,1),2855(a,2,1,1))]. 2896 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(248,a,2865,a)]. 2897 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(1280(a,1),2896(a,1,2)),flip(a)]. 2898 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(231(a,1),2897(a,1,1,2,2))]. 2899 (x * K(y,z)) * y = x * T(y,z). [para(231(a,1),2898(a,2,2,2))]. 2900 (K(x,y) * K(y,z)) * y = T(y,z) * K(x,y). [hyper(262,a,2141,a,b,2899,a),flip(a)]. 2901 T(x * K(y,z),y) = y \ (x * T(y,z)). [hyper(181,a,2899,a,b,10,a)]. 2902 (1 / x) * K(x,y) = K(x,y) / x. [hyper(105,a,2092,a,b,2899,a),flip(a)]. 2903 (x / T(y,z)) * K(y,z) = x / y. [hyper(105,a,12,a(flip),b,2899,a),flip(a)]. 2904 (x / y) * T(y,z) = x * K(y,z). [hyper(34,a,1459,a,b,2899,a)]. 2905 (x * y) * K(y,z) = x * T(y,z). [hyper(34,a,1457,a,b,2899,a),flip(a)]. 2906 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(2899(a,1),14(a,2,1,2)),flip(a)]. 2908 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(2899(a,1),167(a,2,1))]. 2910 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(2899(a,1),270(a,1,2))]. 2911 (x * K(y,z)) * T(z,y) = x * z. [para(2427(a,1),2899(a,1,1)),flip(a)]. 2912 (x / y) * K(z,y) = x / T(y,z). [hyper(2430,a,2903,a)]. 2913 (x / (y \ z)) * K(z / y,y) = x / (z / y). [para(100(a,1),2903(a,1,1,2))]. 2914 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(2903(a,1),2431(a,1,1)),flip(b)]. 2915 x * T(x \ y,z) = y * K(x \ y,z). [hyper(573,a,2904,a)]. 2916 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(108,a,2904,a)]. 2917 (x * K(y,z)) / z = x / T(z,y). [hyper(105,a,2427,a(flip),b,2904,a),flip(a)]. 2918 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(104,a,2904,a(flip),b,2899,a)]. 2920 x * K(y \ x,z) != u | y * T(y \ x,z) = u. [para(2904(a,1),573(a,1))]. 2921 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(2904(a,1),940(a,1,2,1))]. 2922 (x * T(y,z)) * K(z,y) = x * y. [hyper(2430,a,2905,a)]. 2923 L(K(x,y),x,z) = K(x,y). [hyper(2154,a,2905,a)]. 2924 (x * K(y,z)) * y = (x * y) * K(y,z). [hyper(262,a,2899,a,b,2905,a)]. 2925 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(181,a,2905,a,b,10,a),flip(a)]. 2926 (x * y) \ (x * T(y,z)) = K(y,z). [hyper(108,a,2905,a)]. 2927 ((x / T(y,z)) * y) \ x = K(y,z). [hyper(104,a,12,a(flip),b,2905,a)]. 2928 (x / T(y,z)) * y = x * K(z,y). [hyper(34,a,2432,a(flip),b,2905,a),flip(a)]. 2929 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [hyper(104,a,2905,a(flip),b,2492,a)]. 2931 (x * (y * z)) \ (x * (y * T(z,u))) = L(K(z,u),y * z,x). [para(2905(a,1),18(a,2,2,2)),flip(a)]. 2935 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(2905(a,1),462(a,1,1))]. 2936 (x * y) * K(z,y) = x * T(y,z \ y). [para(2213(a,1),2905(a,1,2))]. 2937 (x * T(y,z)) * K(z,y) != u | x * y = u. [para(2905(a,1),2431(a,1,1)),flip(b)]. 2938 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(262,a,2325,a,b,2923,a),flip(a)]. 2939 a(x,y,K(y,z)) = 1. [hyper(52,a,2923,a)]. 2940 a(x,y,K(z \ y,z)) = 1. [para(2144(a,2),2939(a,1,3))]. 2941 a(x,y,K(z,y)) = 1. [para(2212(a,1),2939(a,1,3))]. 2942 L(K(x,y),y,z) = K(x,y). [hyper(51,a,2941,a)]. 2943 a(x,y,K(z,z \ y)) = 1. [para(2088(a,2),2941(a,1,3))]. 2944 a(x,y,K(y \ 1,z)) = 1. [para(2496(a,2),2941(a,1,3))]. 2945 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(51,a,2940,a)]. 2946 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(2689,a,2942,a)]. 2947 (x * y) * K(z,y) = x * (y * K(z,y)). [para(2942(a,1),88(a,1,2))]. 2950 L(K(x,x \ y),y,z) = K(x,x \ y). [hyper(51,a,2943,a)]. 2951 L(K(x,y),x,z) != u | K(x,y) = u. [para(2938(a,2),2328(a,1))]. 2952 x / T(y \ x,z) = y * K(z,y \ x). [hyper(105,a,10,a(flip),b,2911,a)]. 2953 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(2905(a,1),2911(a,1,1))]. 2954 (x * (y / x)) * K(z,x) = (x * y) / T(x,z). [para(665(a,1),2912(a,1,1))]. 2955 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(2916(a,1),2891(a,1,2))]. 2956 (x * K(y,z / y)) / (z / y) = x / (y \ z). [para(100(a,1),2917(a,2,2))]. 2957 (x * T(x \ y,z)) \ y = K(z,x \ y). [hyper(104,a,10,a(flip),b,2922,a)]. 2958 x * K(y,z) != u * z | u * T(z,y) = x. [para(2922(a,1),43(a,1)),flip(a)]. 2959 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(2922(a,1),2431(a,1,1)),flip(b)]. 2960 (x * K(y,z)) * z = (x * z) * K(y,z). [para(2911(a,1),2922(a,1,1)),flip(a)]. 2961 (x * (y / x)) \ (K(x,x \ y) * T(y,z)) = K(y,z). [para(2042(a,1),2926(a,1,1))]. 2962 x / T(y * x,y \ 1) = (y * x) \ x. [hyper(34,a,2626,a,b,2928,a),flip(a)]. 2964 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [hyper(104,a,2946,a(flip),b,1036,a),flip(a)]. 2965 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(2643,a,2915,a),flip(a)]. 2966 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(2610,a,2915,a)]. 2967 T(K(x / y,z),x) = K(y \ x,z). [hyper(2365,a,2915,a)]. 2968 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(1071,a,2915,a)]. 2969 K(x / y,z) * x = x * K(y \ x,z). [hyper(62,a,2080,a,b,2915,a)]. 2970 x \ (y \ T(y * x,z)) = K((y \ 1) \ x,z). [hyper(104,a,854,a(flip),b,2915,a(flip))]. 2975 K(T(x,y),z) = T(K(x,z),y). [hyper(62,a,2227,a(flip),b,2965,a)]. 2976 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(2965(a,2),227(a,1)),flip(b)]. 2977 K(T(x,y \ 1),y) = K(x,y). [hyper(262,a,2163,a(flip),b,2975,a),flip(a)]. 2978 T(K(x,y),T(x,z)) = K(x,y). [para(142(a,1),2975(a,1,1)),flip(a)]. 2979 x * K(T(y,x),z) = K(y,z) * x. [para(2975(a,2),98(a,1,2))]. 2980 T(K(x,y),(z * x) / z) = K(x,y). [para(392(a,1),2975(a,1,1)),flip(a)]. 2981 T(K(x,y),K(x,z)) = K(x,y). [para(2073(a,1),2975(a,1,1)),flip(a)]. 2982 T(K(x,y),K(z,x)) = K(x,y). [para(2134(a,1),2975(a,1,1)),flip(a)]. 2983 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(2511(a,2),2975(a,1,1))]. 2984 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2515(a,2),2975(a,1,1))]. 2985 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(2978(a,1),249(a,1,2))]. 2986 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(2402,a,2981,a)]. 2987 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(2981(a,1),98(a,1,2))]. 2988 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(2981(a,1),249(a,1,2))]. 2989 T(K(x * y,z),K(x,y)) = K(x * y,z). [para(2166(a,1),2981(a,1,2))]. 2990 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2981(a,1),2337(a,1,1))]. 2991 T(K(x,y),K(y,z)) = K(x,y). [hyper(53,a,2982,a)]. 2992 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2982(a,1),249(a,1,2))]. 2993 K(x,y) * (K(z,y) * K(y,x)) = K(z,y). [hyper(2472,a,2991,a)]. 2994 T(K(x,y),K(z,y)) = K(x,y). [hyper(2338,a,2991,a)]. 2995 K(T(x,K(y,z)),y) = K(x,y). [hyper(62,a,2975,a,b,2991,a)]. 2996 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2991(a,1),179(a,1,2,1)),flip(a)]. 2997 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2991(a,1),180(a,1,2,1)),flip(a)]. 2998 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2991(a,1),352(a,1,2,1))]. 2999 K(x,y) * K(z,y) != u | K(z,y) * K(x,y) = u. [para(2991(a,1),2544(a,1,1))]. 3000 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(104,a,2994,a(flip),b,2390,a)]. 3001 K(x,y) * T(x,K(y,z)) = T(T(x,K(y,z)),y). [para(2995(a,1),2102(a,2,1)),flip(a)]. 3002 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(2864,a,2966,a)]. 3003 K(x \ y,z) = K(z,y \ x). [hyper(2527,a,2966,a),flip(a)]. 3004 K(1 / (x \ y),z) = K(y \ x,z). [hyper(62,a,2230,a,b,2966,a)]. 3005 K(T(x,y) \ 1,z) = K((x * y) \ y,z). [para(22(a,2),2966(a,1,1,1))]. 3006 K(L(x \ y,x,z) \ 1,u) = K((z * y) \ (z * x),u). [para(90(a,2),2966(a,1,1,1))]. 3007 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(2966(a,1),2071(a,2,1))]. 3008 K(x \ y,z) != u | K(z,y \ x) = u. [para(2966(a,1),2527(a,1))]. 3009 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(2966(a,1),2717(a,1,1)),flip(a)]. 3010 K(x,(y \ z) \ 1) = K(x,z \ y). [hyper(2528,a,3003,a)]. 3011 K(x \ 1,y \ z) = K(x,z \ y). [hyper(62,a,2496,a,b,3003,a)]. 3012 K(x,y \ (y / z)) = K(z,x). [hyper(62,a,2226,a(flip),b,3003,a),flip(a)]. 3013 K(x,(y * z) \ y) = K(z,x). [hyper(62,a,2221,a(flip),b,3003,a),flip(a)]. 3014 K((x * y) \ x,z) = K(z,y). [para(9(a,1),3003(a,2,2))]. 3015 K(x,y \ x) != z | K(y,x) = z. [para(3003(a,1),2252(a,1))]. 3016 K(x,y \ (y / z)) = K(x,z \ 1). [hyper(262,a,2499,a,b,3012,a),flip(a)]. 3017 K(1 / ((x * y) \ x),z) = K(y,z). [hyper(62,a,2498,a,b,3013,a)]. 3018 K((x * y) \ x,z \ u) = K(y,u \ z). [hyper(62,a,3003,a(flip),b,3013,a)]. 3019 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [para(3013(a,1),2500(a,2,2))]. 3020 K(x,((y * z) \ y) \ 1) = K(x,z). [hyper(2528,a,3014,a)]. 3021 K((x * y) \ x,z / u) != w | K(y,u / z) = w. [para(3014(a,2),2622(a,1))]. 3022 T(x,y) != K(z \ y,u) | K(y / z,u) = x. [para(2967(a,1),48(a,1)),flip(a)]. 3023 K(x \ 1,y) != z | K(1 / x,y) = z. [para(2967(a,1),227(a,1)),flip(b)]. 3024 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(2430,a,2979,a)]. 3025 K(x / y,z) * y = y * K(y \ x,z). [para(100(a,1),2979(a,1,2,1)),flip(a)]. 3026 K(x * y,z) * x = x * K(y * x,z). [para(170(a,1),2979(a,1,2,1)),flip(a)]. 3027 K((x * y) / x,z) * x = x * K(y,z). [para(171(a,1),2979(a,1,2,1)),flip(a)]. 3028 (K(x,y) * z) \ z = K(y,T(x,z)). [para(2979(a,1),2420(a,1,1))]. 3029 K(x,1 / (y \ z)) = K(x,z \ y). [hyper(1447,a,3010,a)]. 3030 L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). [hyper(262,a,2942,a,b,3010,a)]. 3031 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(14(a,2),3010(a,1,2,1)),flip(a)]. 3032 K(x,L(y,z \ 1,z) \ z) = K(x,((z \ 1) * y) \ 1). [para(372(a,1),3010(a,1,2,1)),flip(a)]. 3033 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(624(a,1),3010(a,1,2,1)),flip(a)]. 3034 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(2389(a,1),3010(a,2,2))]. 3035 x \ R(x,y,x) = K(z,u \ w) * K(z * ((w \ u) \ 1),z). [para(3010(a,1),2471(a,2,1))]. 3036 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(3010(a,1),2370(a,1,2))]. 3037 K(x,y \ z) != u | K(z \ y,x) = u. [para(3011(a,1),2527(a,1))]. 3038 K(x,y \ (y / z)) = K(x,u / (z * u)). [hyper(262,a,2628,a,b,3016,a),flip(a)]. 3039 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(3017(a,1),2097(a,2,2)),flip(a)]. 3040 K(x \ 1,T(x,y)) = K(z \ 1,z). [hyper(1013,a,3024,a),flip(a)]. 3042 K(x,T(y,z)) != u \ z | K(y,x) * z = u. [para(3028(a,1),47(a,1))]. 3043 (K(x,y) * z) * K(y,T(x,z)) != u | z = u. [para(3028(a,1),191(a,1,2))]. 3044 (K(x,y) * z) * K(y,T(x,z)) != u * w | u \ z = w. [para(3028(a,1),347(a,1,2))]. 3045 K(x,1 / (y \ x)) = K(x,y / x). [hyper(262,a,2038,a,b,3029,a),flip(a)]. 3046 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(18(a,2),3029(a,1,2,2)),flip(a)]. 3047 K(x \ 1,x) * (y \ z) = z * T(z \ (y \ z),T(y,u)). [para(3040(a,1),2616(a,1,1))]. 3048 T((x * y) \ y,T(x,z)) = (x * y) \ (K(u \ 1,u) * y). [para(3040(a,1),2732(a,1,2,1)),flip(a)]. 3049 K(x,(x / y) / x) = K(x,1 / y). [para(77(a,1),3045(a,1,2,2)),flip(a)]. 3050 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(3049(a,1),256(a,1,2))]. 3051 K(R(x,y,x),z) != u | K(x,z) = u. [para(472(a,2),2976(a,1,1))]. 3052 K(x,y \ 1) != z | K(y,x) = z. [para(2496(a,1),2976(a,1))]. 3054 K(x,y) != z | K(y \ 1,x) = z. [para(231(a,1),3052(a,1,2))]. 3055 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(2325(a,1),3052(a,1,2))]. 3056 K(x,y / z) != u | K(z / y,x) = u. [para(2623(a,1),3052(a,1))]. 3057 K(x,y \ (y / z)) != u | K(z,x) = u. [para(3016(a,2),3052(a,1))]. 3059 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(2617(a,2),3054(a,1))]. 3060 K(x * a(y,z,y),u) != w | K(x,u) = w. [para(479(a,1),3051(a,1,1))]. 3061 K((x \ y) \ y,z) != u | K(T(x,y),z) = u. [para(685(a,1),3051(a,1,1))]. 3062 K(T(x,y),z) != u | K(z,y \ (x \ y)) = u. [para(634(a,2),3008(a,1,1))]. 3063 K(R(T(x,y * z),y,z),u) != w | K(u,((x * y) * z) \ (y * z)) = w. [para(555(a,1),3008(a,1,1))]. 3064 K(x,y) != z | K(x,x \ y) = z. [para(2214(a,1),3008(a,1))]. 3065 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(2499(a,2),3008(a,1))]. 3067 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(2620(a,2),3023(a,1))]. 3069 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(2496(a,2),3037(a,1))]. 3072 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(2496(a,2),3056(a,1))]. 3073 K(x,(y * z) \ y) != u | K(z,x) = u. [para(11(a,1),3057(a,1,2,2))]. 3074 K((x / y) \ x,z) != u | K(y,z) = u. [para(3003(a,2),3057(a,1))]. 3075 K(x * y,x) != z | K(y,x) = z. [para(2213(a,1),3073(a,1))]. 3076 K(x \ (x * y),z) != u | K(y,z) = u. [para(3003(a,2),3073(a,1))]. 3079 K(T(x * y,x),z) != u | K(y * x,z) = u. [para(102(a,1),3076(a,1,1))]. 3082 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [para(890(a,1),2936(a,2,2))]. 3083 R(x,y,K(z,y)) = x. [hyper(466,a,2947,a)]. 3084 (x / (y * K(z,y))) * y = x * K(y,z). [hyper(34,a,2432,a(flip),b,2947,a),flip(a)]. 3085 x * K(y,z) != u * (z * K(y,z)) | u * z = x. [para(2947(a,1),43(a,1)),flip(a)]. 3086 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(2947(a,1),2899(a,1,1))]. 3087 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [para(3083(a,1),525(a,1,1)),flip(a)]. 3088 R(x,y * z,K(z,y)) = x. [para(2132(a,1),3083(a,1,3))]. 3089 R(x,y,K(y,z)) = x. [para(2214(a,1),3083(a,1,3))]. 3090 R(x,y \ z,K(u,z \ y)) = x. [para(3011(a,1),3083(a,1,3))]. 3091 R(x,y,K(y,z)) != u | u = x. [para(3089(a,1),50(a,1)),flip(a)]. 3092 R(x,y \ 1,K(z,y)) = x. [para(2496(a,1),3089(a,1,3))]. 3093 (x * (y * z)) * K(z,y) = x * (z * y). [para(3088(a,1),469(a,1,1)),flip(a)]. 3094 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(3090(a,1),456(a,1,1))]. 3095 T(x / y,z) \ x = y * K(z,y \ x). [hyper(678,a,2952,a)]. 3096 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(104,a,88,a(flip),b,2953,a)]. 3097 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [para(1149(a,1),2957(a,1,1))]. 3098 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(847(a,1),2957(a,1,1))]. 3099 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1540(a,1),2957(a,1,1))]. 3100 T(x * T(x \ y,z),u) \ T(y,u) = K(z,T(x,u) \ T(y,u)). [para(1774(a,1),2957(a,1,1))]. 3101 (x * K(y,z)) * z = x * (z * K(y,z)). [hyper(262,a,2947,a(flip),b,2960,a),flip(a)]. 3102 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(104,a,2947,a(flip),b,2960,a)]. 3103 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(2863(a,1),2962(a,1,2)),flip(a)]. 3104 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [hyper(62,a,2232,a(flip),b,2983,a)]. 3105 T(x,y) != K(1 / T(z,y),u) | K(1 / z,u) = x. [para(2984(a,2),48(a,1)),flip(a)]. 3106 K(x,T(y,K(x,z))) = K(x,y). [hyper(33,a,3024,a,b,2986,a)]. 3108 K(x,R(T(y,K(x,z)),u,w)) = K(x,R(y,u,w)). [para(27(a,2),3106(a,1,2))]. 3109 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(2574,a,2987,a)]. 3110 K(x,y) \ (L(z,K(u,x),K(x,y)) * (K(u,x) * K(x,y))) = K(u,x) * T(z,K(x,y) * K(u,x)). [para(2990(a,1),547(a,1,2,2))]. 3111 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2990(a,1),2077(a,1,2))]. 3112 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(262,a,2071,a,b,3007,a),flip(a)]. 3113 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(3007(a,2),2089(a,1))]. 3114 T(x * (y \ z),z \ y) = (y \ z) * x. [hyper(62,a,1231,a(flip),b,3112,a),flip(a)]. 3115 T(x,(y * z) \ y) = T(x,z \ 1). [para(9(a,1),3112(a,1,2,1)),flip(a)]. 3116 T(x,((y * z) \ y) \ 1) = T(x,z). [para(9(a,1),3112(a,2,2))]. 3117 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(22(a,2),3112(a,1,2,1))]. 3119 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [para(634(a,2),3112(a,1,2,1))]. 3120 T(x,y \ z) * (z \ y) = (z \ y) * x. [para(3112(a,1),1241(a,1,1))]. 3121 T(K(x,y),(z * y) \ z) = K(x,y). [hyper(262,a,2163,a(flip),b,3115,a),flip(a)]. 3122 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(167(a,2),3116(a,1,2,1))]. 3123 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(3116(a,1),1260(a,1,2))]. 3124 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(62,a,2877,a,b,3122,a)]. 3126 K(T(x,y) * z,x) = K(z * T(x,y),x). [hyper(34,a,2141,a(flip),b,3026,a),flip(a)]. 3127 K(x,y \ (y / z)) = K(x,((z * u) \ u) * K(z * u,1 / z)). [para(2632(a,2),3038(a,2,2))]. 3128 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(814(a,2),3060(a,1,1))]. 3129 (x * y) / ((z * y) / z) = x * K(y,z). [hyper(62,a,2199,a,b,3084,a)]. 3130 (x * y) / (y * K(z,y)) = x * K(y,z). [hyper(34,a,2924,a,b,3084,a),flip(a)]. 3131 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(2079(a,2),3084(a,1,1,2))]. 3132 (x * (y * z)) * u != x * (z * y) | K(z,y) = u. [para(3093(a,1),42(a,1)),flip(a)]. 3133 x / (y * K(z,y \ x)) = T(x / y,z). [hyper(156,a,3095,a)]. 3134 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(2905(a,1),3101(a,1,1)),flip(a)]. 3135 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(752,a,3102,a)]. 3136 L(x,K(y,x),z) = x. [para(2134(a,1),3135(a,1,1))]. 3137 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(3136(a,1),406(a,1,2,1))]. 3138 L(x,K(x,y),z) = x. [para(2214(a,1),3136(a,1,2))]. 3139 L(T(x,y),K(x,z),u) = T(x,y). [para(3138(a,1),25(a,2,1))]. 3140 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(3138(a,1),407(a,1,2,1))]. 3141 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(3139(a,1),30(a,1,1)),flip(a)]. 3142 (x * K(y,z)) * L(T(y,u),w,v5) = x * (K(y,z) * L(T(y,u),w,v5)). [para(3139(a,1),407(a,1,2,1))]. 3143 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(62,a,3005,a(flip),b,3104,a)]. 3144 x / T(y * x,T(y,x) \ 1) = (y * x) \ x. [para(3117(a,2),199(a,1,2))]. 3145 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(62,a,3117,a(flip),b,3119,a)]. 3146 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [para(2505(a,2),3119(a,1,2))]. 3147 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(2139(a,1),3120(a,1,1))]. 3148 T((x \ y) * z,y \ x) = (x \ y) * T(z,y \ x). [para(3120(a,1),3114(a,1,1))]. 3150 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(12(a,1),3124(a,1,2,2,1))]. 3151 x / ((y * z) / y) = (x / z) * K(z,y). [hyper(62,a,130,a(flip),b,3129,a)]. 3153 x / (y * K(z,y)) = (x / y) * K(y,z). [hyper(62,a,130,a(flip),b,3130,a)]. 3154 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(9(a,1),3133(a,1,2,2,2))]. 3155 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(77(a,1),3146(a,2,2,2))]. 3156 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(2430,a,3151,a(flip))]. 3157 x / (y / (y / z)) = (x / z) * K(z,y / z). [para(12(a,1),3151(a,1,2,1))]. 3159 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = ((1 / (x / ((y * z) / y))) \ K(y,z)) * (1 / (x / ((y * z) / y))). [para(3156(a,1),1097(a,1,2,1))]. 3160 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(3156(a,1),867(a,2,1,2))]. 3161 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(150(a,1),2914(a,1,1))]. 3164 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(94(a,1),2959(a,1,1))]. 3165 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(2924(a,2),2959(a,1))]. 3166 K(x \ y,x) != z | K((x / y) \ 1,x) = z. [para(2016(a,1),3059(a,1))]. 3168 T(K(x,y),z) != u | K(T(x,z),y) = u. [para(2965(a,1),3061(a,1))]. 3169 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(230(a,2),3065(a,1,2))]. 3170 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(90(a,2),3065(a,1,2,1))]. 3172 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(90(a,2),3069(a,1,1,1))]. 3173 R(K(x \ (y / z),x),y / z,z) != u | K(y / (x * z),x) = u. [para(2802(a,2),3072(a,1))]. 3175 T(x,T(y,z) \ 1) != u | T(x,z \ (y \ z)) = u. [para(634(a,2),3113(a,1,2,1))]. 3176 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(647(a,1),3128(a,1,1))]. 3177 (K(x,y) * K(y,z)) * T(y,x) = T(y,z). [hyper(2958,a,2900,a(flip))]. 3178 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(62,a,2288,a(flip),b,2925,a),flip(a)]. 3179 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),w). [para(25(a,2),2929(a,1,2,2))]. 3180 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [para(2654(a,1),2956(a,1,1))]. 3181 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(2302(a,1),2964(a,1,1))]. 3182 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(861,a,2968,a)]. 3183 (x / y) * K((y \ 1) \ (x / y),z) = T(x,z) / y. [hyper(613,a,2968,a),flip(a)]. 3184 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(10(a,1),2968(a,1,2,1)),flip(a)]. 3185 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(2968(a,1),386(a,1,1))]. 3186 K(((x / y) \ 1) \ y,z) = y \ ((x / y) \ T(x,z)). [para(12(a,1),2970(a,1,2,2,1)),flip(a)]. 3187 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(262,a,1780,a(flip),b,3036,a)]. 3188 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(262,a,2465,a,b,3050,a)]. 3189 T(x,(x / y) / x) = T(x,1 / y). [hyper(181,a,3050,a(flip),b,2904,a)]. 3191 (x * (y \ z)) * K(y,z) = x * (z / y). [para(2088(a,1),3082(a,1,2))]. 3192 (x * (y / z)) * K(y,z) = x * (z \ y). [hyper(2430,a,3191,a)]. 3193 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(105,a,3086,a(flip),b,94,a)]. 3194 x * (K(y,x) * K(z,z \ 1)) = (x \ 1) \ K(y,x). [hyper(1054,a,3087,a)]. 3195 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(2336(a,1),3108(a,1,2,1))]. 3196 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(62,a,2524,a,b,3109,a)]. 3197 x \ L(x,y,x) = K(z,x) * K(x,x * z). [hyper(104,a,2377,a,b,3111,a)]. 3198 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(2917(a,1),3131(a,1,1)),flip(a)]. 3200 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(262,a,2124,a(flip),b,3154,a),flip(a)]. 3201 (x / (y / (y / z))) / (y / z) = (x / z) / (z \ y). [para(3157(a,2),2956(a,1,1))]. 3203 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(2985,a,2283,a(flip))]. 3204 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(2283(a,2),2985(a,1))]. 3205 R(x,K(y,z),T(y,u)) * (K(y,u) * T(y,z)) = (x * K(y,z)) * T(y,u). [para(3203(a,1),94(a,1,2))]. 3206 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(2929(a,2),2992(a,1))]. 3207 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(2999,a,2451,a(flip)),flip(a)]. 3209 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3207(a,1),1864(a,2,3))]. 3210 L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). [para(3030(a,1),25(a,2,1))]. 3212 T(x,T(y \ 1,z)) != u | T(x,z \ (y \ z)) = u. [para(2505(a,2),3175(a,1,2))]. 3213 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(3069,a,3002,a),flip(a)]. 3214 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [para(542(a,1),3009(a,1,1,1)),flip(a)]. 3215 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(167(a,2),3019(a,1,1,1))]. 3216 K(x / (y \ z),z \ y) = K((y \ z) \ x,z \ y). [hyper(34,a,3025,a,b,3147,a)]. 3217 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = (x \ y) * (y \ x). [para(3147(a,1),2407(a,1,2))]. 3219 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(262,a,100,a(flip),b,3150,a),flip(a)]. 3220 T(x,y \ 1) / (y \ x) = (x / y) \ T(x,y \ 1). [para(3219(a,1),199(a,1,2))]. 3221 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(100(a,2),3180(a,1,1))]. 3222 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(2603(a,1),3182(a,2,2))]. 3223 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(105,a,3183,a(flip),b,2969,a),flip(a)]. 3224 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (T(x,x \ y) * (x \ T(y,z))). [para(3184(a,1),614(a,1,2,2)),flip(a)]. 3225 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(2966(a,2),3184(a,1,2))]. 3226 K(((x / y) \ 1) \ y,(x / y) \ 1) = y \ (x * (y / x)). [para(1234(a,1),3186(a,2,2))]. 3227 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(2652(a,1),3194(a,1,2))]. 3228 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(104,a,3227,a(flip),b,1160,a),flip(a)]. 3229 ((x / y) \ T(x,y \ 1)) \ x = (x \ (y \ x)) * x. [para(3220(a,1),2892(a,1,1))]. 3230 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(3059,a,3223,a)]. 3231 (((x \ (x / y)) * x) \ x) \ x = (x \ (y \ x)) * x. [para(2546(a,1),3229(a,1,1))]. 3232 (((x \ y) * x) \ x) \ x = (x \ ((y \ x) \ x)) * x. [para(74(a,1),3231(a,1,1,1,1,2))]. 3233 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(62,a,3009,a(flip),b,3006,a)]. 3234 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(10(a,1),3233(a,2,1,1))]. 3235 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(10(a,1),3233(a,2,1,2))]. 3236 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(77(a,1),3233(a,1,1,1)),flip(a)]. 3237 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(90(a,2),3233(a,2,1))]. 3238 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(634(a,2),3233(a,1,1,1)),flip(a)]. 3239 L(K(x \ y,z),y,x \ 1) = K((x \ 1) * y,z). [para(542(a,1),3237(a,2,1))]. 3240 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(62,a,2942,a(flip),b,3234,a)]. 3241 L(K(((x * y) \ (x * (y * z))) \ z,u),z,x * y) = K(a(x,y,z),u). [para(14(a,2),3234(a,2,1))]. 3242 K((x \ 1) \ y,y) = K(x * y,y). [para(64(a,1),3240(a,2,1))]. 3243 K((1 / x) * y,y) = K(x \ y,y). [para(77(a,1),3242(a,1,1,1)),flip(a)]. 3244 K(L(x,y / x,z),u) = L(K(x,u),y,z). [para(91(a,2),3236(a,1,1))]. 3245 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(262,a,18,a(flip),b,3244,a),flip(a)]. 3246 L(K(x,y),z,x) = K(x,y). [hyper(62,a,2239,a(flip),b,3244,a),flip(a)]. 3247 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(11(a,1),3244(a,1,1,2)),flip(a)]. 3248 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(3244(a,1),2325(a,1,1)),flip(a)]. 3249 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(262,a,9,a,b,3246,a),flip(a)]. 3250 (x * y) * K(x,z) = x * (y * K(x,z)). [para(3246(a,1),88(a,1,2))]. 3251 L(K(x,y),z,x) != u | K(x,y) = u. [para(3249(a,2),266(a,1))]. 3252 K(L(x,y,x),z) != u | K(x,z) = u. [para(3247(a,1),3251(a,1))]. 3253 K(L(x,y,L(x,z,u)),w) != v5 | K(x,w) = v5. [para(430(a,2),3252(a,1,1))]. 3254 K(T(x,x * y),z) != u | K(T(x,y),z) = u. [para(632(a,1),3252(a,1,1))]. 3255 K(T(x / y,x),z) != u | K(y \ x,z) = u. [para(655(a,1),3252(a,1,1))]. 3256 R(x,y,K(x,z)) = x. [hyper(466,a,3250,a)]. 3257 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(3250(a,1),2899(a,1,1))]. 3258 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(3256(a,1),463(a,1,1,1)),flip(a)]. 3259 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(3256(a,1),464(a,1,1,1)),flip(a)]. 3260 (R(x,y,z) * u) * K(x,w) = R(x,y,z) * (u * K(x,w)). [para(3256(a,1),465(a,1,1,1)),flip(a)]. 3261 R(x,y,K(z,x)) = x. [para(2212(a,1),3256(a,1,3))]. 3262 R(x,y,K(z,T(x,u))) = x. [hyper(123,a,3261,a(flip))]. 3263 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(3261(a,1),31(a,1,1)),flip(a)]. 3264 (x * y) * K(z,x) = x * (y * K(z,x)). [para(3261(a,1),94(a,1,1)),flip(a)]. 3265 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(3261(a,1),463(a,1,1,1)),flip(a)]. 3266 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(3262(a,1),464(a,1,1,1)),flip(a)]. 3267 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). [para(3263(a,1),767(a,1,1,2)),flip(a)]. 3268 x \ T(x * y,x) = y * K(x * y,x). [hyper(2103,a,3264,a)]. 3269 L(K(x,y),z,y) = K(x,y). [hyper(1908,a,3264,a)]. 3270 x * ((x \ y) * K(z,x)) = y * K(z,x). [hyper(572,a,3264,a),flip(a)]. 3271 x * ((y / x) * K(z,x)) = (x * y) / T(x,z). [hyper(62,a,2954,a(flip),b,3264,a),flip(a)]. 3272 K(L(x,y,z),z) = K(x,z). [hyper(62,a,3247,a(flip),b,3269,a)]. 3273 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(30(a,1),3272(a,1,1))]. 3274 K((x * y) \ z,x) = K(y \ (x \ z),x). [para(253(a,1),3272(a,1,1))]. 3275 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [para(542(a,1),3272(a,1,1))]. 3276 T(x * K(y,x),L(y,z,x)) = x. [para(3272(a,1),2076(a,1,1,2))]. 3277 T(x,L(y,z,x)) = T(x,y). [para(3276(a,1),2118(a,1,1)),flip(a)]. 3278 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(253(a,1),3277(a,1,2))]. 3279 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(181,a,2928,a,b,3270,a)]. 3280 (x \ K(x,y)) * K(y,x) = x \ 1. [hyper(104,a,2322,a(flip),b,3270,a),flip(a)]. 3281 R(x / (y \ K(y,z)),y \ K(y,z),K(z,y)) = (x * K(z,y)) / (y \ 1). [para(3280(a,1),95(a,2,2))]. 3282 K(x \ (y \ z),y) = K(y,z \ (y * x)). [hyper(3008,a,3274,a),flip(a)]. 3283 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(62,a,3213,a,b,3274,a)]. 3284 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(3008,a,3282,a)]. 3286 K(x \ (y \ z),y) != u | K((y * x) \ z,y) = u. [para(3282(a,2),3037(a,1))]. 3287 K(x / y,x) != z | K(y \ x,x) = z. [para(2021(a,1),3255(a,1))]. 3288 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(2975(a,1),3255(a,1))]. 3290 (x * y) / T(x,z) = x * (y / T(x,z)). [para(2912(a,1),3271(a,1,2)),flip(a)]. 3291 ((x \ 1) * y) / (x \ K(z,x)) = (x \ 1) * (y / T(x \ 1,z)). [para(2500(a,1),3290(a,1,2))]. 3292 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(3065,a,3275,a)]. 3294 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(360(a,2),3046(a,1,2))]. 3295 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1728(a,1),3215(a,2,2))]. 3296 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(62,a,2945,a(flip),b,3235,a),flip(a)]. 3297 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(3235(a,1),399(a,1,2)),flip(a)]. 3298 K(x \ ((1 / x) \ y),x) = K(y,x). [para(135(a,1),3296(a,1,1)),flip(a)]. 3299 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(3166,a,3298,a)]. 3300 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(3245(a,2),411(a,1))]. 3301 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(1575(a,2),3033(a,1,2))]. 3302 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(158,a,3039,a),flip(a)]. 3303 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [hyper(105,a,3302,a(flip),b,201,a(flip))]. 3304 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(3302(a,1),23(a,1,1)),flip(a)]. 3305 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(62,a,2447,a,b,3047,a),flip(a)]. 3306 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(262,a,2732,a(flip),b,3048,a),flip(a)]. 3307 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(262,a,25,a,b,3096,a),flip(a)]. 3308 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(847(a,1),3098(a,1,1,2))]. 3309 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (y \ z)) \ u). [para(1504(a,1),3098(a,1,1,2))]. 3310 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1563(a,1),3098(a,1,1,2))]. 3311 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),1 / ((y * z) \ y)). [para(3123(a,1),2352(a,1,1))]. 3312 R(x,K(y,z),R(z,u,w)) = x. [hyper(466,a,3137,a)]. 3313 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(62,a,2438,a(flip),b,3312,a)]. 3314 R(x,K(y,z),z) = x. [para(327(a,1),3312(a,1,3))]. 3315 K(x \ 1,x) * (K(y,z) * K(y,u)) = (y \ K(y,z)) * T(y,u). [para(3196(a,1),1337(a,1,2))]. 3316 (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). [para(27(a,2),3225(a,2,2))]. 3317 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [para(3225(a,1),2609(a,1,1))]. 3318 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1166(a,1),3317(a,2,1))]. 3319 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [hyper(118,a,3318,a)]. 3320 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(100(a,1),3319(a,1,1)),flip(a)]. 3321 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(365,a,3226,a)]. 3322 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(62,a,2641,a,b,3230,a)]. 3323 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(3259(a,1),2436(a,1,1))]. 3324 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [hyper(510,a,3260,a),flip(a)]. 3325 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) = K(x,u). [hyper(108,a,3324,a)]. 3327 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2076(a,1),3307(a,2,1))]. 3328 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(2756(a,2),3313(a,1,2))]. 3329 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(118,a,3322,a(flip))]. 3331 L(x \ 1,x,y * K(x,z)) = L(x \ 1,T(x,z),y). [hyper(262,a,2205,a(flip),b,2908,a),flip(a)]. 3332 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(455(a,2),3031(a,1,2))]. 3333 x \ R(x,y,x) = K(z,u \ w) * K((w \ u) \ z,z). [para(2635(a,1),3035(a,2,2))]. 3334 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(2584,a,3333,a),flip(a)]. 3335 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(62,a,3240,a(flip),b,3334,a)]. 3336 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(62,a,1532,a,b,3294,a)]. 3337 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(77(a,1),3099(a,1,1,1,2,1))]. 3338 K(x,T(y \ z,u) \ T(z,u)) = T(K(y,x) * z,u) \ T(z,u). [para(2364(a,1),3100(a,1,1,1)),flip(a)]. 3339 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(262,a,1936,a(flip),b,3103,a),flip(a)]. 3340 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1471(a,1),3339(a,1,1))]. 3341 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(3009(a,1),3172(a,1))]. 3342 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(3189(a,1),3188(a,1,1))]. 3343 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(77(a,1),3342(a,1,2)),flip(a)]. 3344 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(262,a,3010,a(flip),b,3292,a),flip(a)]. 3345 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(262,a,3216,a,b,3344,a),flip(a)]. 3346 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(9(a,1),3345(a,2,2))]. 3347 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(255(a,1),3297(a,1,2)),flip(a)]. 3348 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(3297(a,2),2436(a,1,1))]. 3349 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [hyper(1394,a,3315,a),flip(a)]. 3350 (K(x,y) * K(x,z)) \ K(u,u \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(3315(a,1),1089(a,1,1)),flip(a)]. 3351 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(3315(a,1),1903(a,1,2))]. 3352 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(100(a,1),3320(a,1,2)),flip(a)]. 3353 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(74(a,1),3352(a,1,2,1,1)),flip(a)]. 3354 T(K(x,y) * z,u) * K(y,T(x \ z,u) \ T(z,u)) = T(z,u). [hyper(119,a,3338,a(flip))]. 3355 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(2899(a,1),3193(a,1,2))]. 3356 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(470,a,3355,a),flip(a)]. 3357 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(2117(a,1),3356(a,1,2)),flip(a)]. 3358 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(1185(a,1),2647(a,1,2))]. 3359 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(94(a,1),3358(a,2,2))]. 3360 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(10(a,1),2734(a,1,1,2,2,1))]. 3361 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(262,a,2623,a(flip),b,3360,a),flip(a)]. 3362 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(3360(a,2),2634(a,1))]. 3363 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(3361(a,1),489(a,1,1))]. 3364 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(1172(a,1),2752(a,1,1))]. 3365 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [hyper(119,a,2789,a)]. 3366 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(2366(a,1),2821(a,1,1)),flip(a)]. 3367 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(3072,a,3366,a)]. 3369 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(77(a,1),3367(a,1,1,2,1)),flip(a)]. 3370 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(93(a,2),3367(a,1,1))]. 3371 R(K(x,y),z,x) = K(x,y). [hyper(3051,a,3370,a),flip(a)]. 3372 K(R(x,x \ 1,y),z) = K(x,z). [hyper(262,a,327,a(flip),b,3370,a),flip(a)]. 3373 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(9(a,1),3370(a,1,1,2)),flip(a)]. 3374 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(3370(a,2),94(a,1,1))]. 3375 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(3370(a,1),2420(a,1,1,2)),flip(a)]. 3376 R(K(x,y),z,x) != u | K(x,y) = u. [para(3370(a,1),3051(a,1))]. 3377 (K(x,y) * z) * x = K(x,y) * (z * x). [para(3371(a,1),94(a,1,1)),flip(a)]. 3378 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(3373(a,1),31(a,1,1)),flip(a)]. 3379 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(2281(a,1),3373(a,1,2)),flip(a)]. 3380 L(x,y,K(x,z)) = x. [hyper(1908,a,3377,a)]. 3381 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(3377(a,1),359(a,1,1))]. 3382 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(3380(a,1),406(a,1,2,1))]. 3383 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(3380(a,1),407(a,1,2,1))]. 3384 L(x,y,K(z,x)) = x. [para(2212(a,1),3380(a,1,3))]. 3385 L(K(x,y),z,K(x,u)) = K(x,y). [para(3380(a,1),3244(a,1,1)),flip(a)]. 3386 L(x \ 1,y,K(x,z)) = x \ 1. [para(2499(a,1),3384(a,1,3))]. 3387 L(K(x,y),z,K(u,x)) = K(x,y). [para(3384(a,1),3244(a,1,1)),flip(a)]. 3388 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(3385(a,1),88(a,1,2))]. 3389 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(3386(a,1),88(a,1,2))]. 3390 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(3386(a,1),841(a,1,1)),flip(a)]. 3391 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(3387(a,1),88(a,1,2))]. 3392 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(12(a,1),3369(a,2,1,2))]. 3393 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(251,a,3389,a)]. 3394 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(181,a,3389,a,b,2824,a)]. 3396 x * K(y,T(z,x)) = K(z,y) \ x. [hyper(3044,a,3391,a),flip(a)]. 3397 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(3043,a,3391,a),flip(a)]. 3398 x * K(y,T(z,x)) = K(y,z) * x. [hyper(262,a,2389,a(flip),b,3396,a),flip(a)]. 3399 K(x,T(y,z)) = T(K(x,y),z). [hyper(181,a,2389,a(flip),b,3396,a),flip(a)]. 3400 K(x,y) \ T(T(x,z),u) = T(T(x,z),u) * K(y,x). [para(157(a,1),3396(a,1,2,2)),flip(a)]. 3402 L(T(K(x,y \ z),u),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(262,a,3210,a,b,3399,a)]. 3403 K(T(x,y),z) = K(x,T(z,y)). [hyper(262,a,2975,a,b,3399,a)]. 3404 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(262,a,2965,a,b,3399,a)]. 3405 K(x / y,T(z,x)) = K(y \ x,z). [hyper(262,a,2967,a(flip),b,3399,a),flip(a)]. 3406 T(K(x,y * z),y) = K(x,z * y). [hyper(62,a,1426,a(flip),b,3399,a),flip(a)]. 3407 T(K(x,y),z * y) = K(x,T(y,z)). [hyper(62,a,1410,a(flip),b,3399,a),flip(a)]. 3408 T(K(x,y),y * z) = K(x,T(y,z)). [hyper(62,a,1408,a(flip),b,3399,a),flip(a)]. 3409 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(57,a,3399,a)]. 3410 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(23(a,1),3399(a,1,2))]. 3411 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(25(a,2),3399(a,1,2))]. 3412 T(x,y) != K(z,T(u,y)) | K(z,u) = x. [para(3399(a,2),48(a,1)),flip(a)]. 3413 x * L(K(y,T(z,x)),u,w) = L(K(y,z),u,w) * x. [para(3399(a,2),179(a,1,2,1))]. 3416 L(K(x,T(y,z \ u)),z \ u,z) = u \ (z * (K(x,y) * (z \ u))). [para(3399(a,2),621(a,1,1))]. 3417 T((K(x,y) * z) * u,z * u) = (K(x,T(y,z * u)) * z) * u. [para(3399(a,2),1386(a,2,1,1))]. 3418 K(x,T(x \ y,z)) = T(K(x,y),z). [para(2088(a,1),3399(a,2,1))]. 3419 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(2505(a,1),3399(a,1,2))]. 3420 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2515(a,2),3399(a,1,2))]. 3421 K(x,R(T(K(x,y),z),u,w)) = 1. [para(3399(a,1),2594(a,1,2,1))]. 3422 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(3399(a,2),2349(a,2,1))]. 3423 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(3399(a,2),2646(a,1,1))]. 3424 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(3399(a,2),2562(a,2,2))]. 3425 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(3399(a,2),3168(a,1))]. 3426 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(3254,a,3403,a),flip(a)]. 3427 K(x,y \ (z \ y)) = K(z,T(x,y)). [hyper(3062,a,3403,a)]. 3428 (x * K(y,T(z,u))) \ x = K(z,T(y,u)). [hyper(2423,a,3403,a)]. 3429 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(262,a,1733,a(flip),b,3403,a),flip(a)]. 3430 K(T(x,y),y / z) = K(x,z \ y). [hyper(262,a,1411,a(flip),b,3403,a),flip(a)]. 3431 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(62,a,2598,a,b,3403,a)]. 3432 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(23(a,1),3403(a,2,2))]. 3433 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(27(a,2),3403(a,1,1))]. 3434 K(x,T(y,R(x,z,u))) = K(x,y). [para(140(a,1),3403(a,1,1)),flip(a)]. 3435 K(x,T(y,L(x,z,u))) = K(x,y). [para(141(a,1),3403(a,1,1)),flip(a)]. 3436 K(x / y,T(z,y)) = K(y \ x,z). [para(100(a,1),3403(a,1,1)),flip(a)]. 3437 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(157(a,1),3403(a,1,1)),flip(a)]. 3438 K((x * y) / x,T(z,x)) = K(y,z). [para(171(a,1),3403(a,1,1)),flip(a)]. 3439 K((x \ y) * x,z) = K(y,T(z,x)). [para(201(a,1),3403(a,1,1))]. 3440 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(163(a,1),3403(a,1,1)),flip(a)]. 3441 K(x * y,T(z,y * x)) = K(x * y,z). [para(204(a,1),3403(a,1,1)),flip(a)]. 3442 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(3403(a,1),2097(a,2,2)),flip(a)]. 3443 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(3403(a,1),2102(a,2,1)),flip(a)]. 3444 K(x,T(y,K(z,L(x,u,w)))) = K(x,y). [para(2137(a,1),3403(a,1,1)),flip(a)]. 3445 1 / K(x,T(y,z)) != u | K(y,T(x,z)) = u. [para(3403(a,1),2329(a,1,2))]. 3446 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(3403(a,1),2389(a,1,1))]. 3447 x / K(y,T(z,u)) = x * K(z,T(y,u)). [para(3403(a,1),2426(a,1,2))]. 3448 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(3403(a,1),2400(a,1,1))]. 3449 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(3403(a,1),2433(a,1,2))]. 3450 a(x,y,K(z,T(y,u))) = 1. [para(3403(a,1),2941(a,1,3))]. 3451 (K(x,y) * z) * K(T(y,z),x) = z. [para(3403(a,2),3024(a,1,2))]. 3452 R(x,y,K(z,T(y,u))) = x. [para(3403(a,1),3083(a,1,3))]. 3453 R(x,y \ 1,K(z,T(y,u))) = x. [para(3403(a,1),3092(a,1,3))]. 3454 (x / y) * K(z,T(y,u)) != w | x / T(y,T(z,u)) = w. [para(3403(a,1),2914(a,1,2))]. 3455 K(x,T(y,z)) != u | K(y,z \ (x \ z)) = u. [para(3403(a,1),3062(a,1))]. 3456 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(3403(a,1),3079(a,1))]. 3457 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(51,a,3450,a)]. 3458 a(x,T(y,z),K(u,y)) = 1. [para(889(a,1),3450(a,1,3,2))]. 3459 L(K(x,y),T(y,z),u) = K(x,y). [hyper(51,a,3458,a)]. 3460 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [hyper(62,a,1426,a(flip),b,3434,a),flip(a)]. 3461 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(100(a,1),3434(a,1,2)),flip(a)]. 3462 K(x,L(x,y,z) * u) = K(x,u * L(x,y,z)). [hyper(62,a,1426,a(flip),b,3435,a),flip(a)]. 3463 R(x,(y * K(z,y)) \ 1,K(u,y)) = x. [para(2076(a,1),3453(a,1,3,2))]. 3464 (x * T(y,z)) \ (x * R(y,u,y)) = K(y * z,y). [hyper(62,a,2585,a(flip),b,3459,a)]. 3465 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(3459(a,1),407(a,1,2,1))]. 3467 (x \ y) * K(z,T(x,x \ y)) = T(x,z) \ y. [hyper(33,a,2273,a,b,3397,a),flip(a)]. 3468 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(3161,a,3398,a)]. 3469 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [hyper(57,a,3398,a)]. 3470 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(3398(a,1),42(a,1))]. 3471 K(x,y / z) * z = z * K(x,z \ y). [para(100(a,1),3398(a,1,2,2)),flip(a)]. 3472 T(T(x,y),z) * K(u,x) = K(u,x) * T(T(x,y),z). [para(157(a,1),3398(a,1,2,2))]. 3473 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(630(a,1),3398(a,1,2,2))]. 3474 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(2519(a,1),3398(a,1,2,2)),flip(a)]. 3475 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(3399(a,2),3398(a,1,2,2))]. 3476 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [para(141(a,1),3405(a,1,2))]. 3477 L(x,y / z,K(z \ y,u)) = x. [para(3405(a,1),2074(a,1,3))]. 3478 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(3405(a,1),3369(a,1,1)),flip(a)]. 3479 L(x,(y * z) / y,K(z,u)) = x. [para(9(a,1),3477(a,1,3,1))]. 3480 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (T(K(x,y),(z * x) / z) * u). [para(3479(a,1),1121(a,1,2,2)),flip(a)]. 3481 T(x,y) != K(z,u * y) | K(z,y * u) = x. [para(3406(a,1),48(a,1)),flip(a)]. 3482 T(x,K(y,z * x)) = T(x,K(y,x * z)). [para(3406(a,1),1172(a,1,2))]. 3483 K(x,T(y,z / y)) = T(K(x,y),z). [para(12(a,1),3407(a,1,2)),flip(a)]. 3484 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(262,a,3403,a(flip),b,3426,a),flip(a)]. 3485 K(x / y,T(z,y)) = K(z,x \ y). [hyper(3056,a,3430,a)]. 3486 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(T(x,y),z,u)). [para(163(a,1),3430(a,1,1))]. 3487 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(3430(a,1),2102(a,2,1)),flip(a)]. 3488 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(3436(a,1),2102(a,2,1)),flip(a)]. 3489 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(3436(a,1),2146(a,1,1))]. 3490 K(x / y,T(z,y)) != u | K(z,x \ y) = u. [para(3436(a,2),3008(a,1))]. 3491 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(3436(a,2),3076(a,1))]. 3492 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(3437(a,1),2102(a,2,1))]. 3493 L(x,K(y,z),(u * y) / u) = x. [para(3438(a,1),2105(a,1,2))]. 3494 R(x,K(y,z),T(z,u)) = x. [para(3438(a,1),3314(a,1,2))]. 3495 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(62,a,2438,a(flip),b,3494,a)]. 3496 R(x,K(y,z),T(y,u)) = x. [para(2214(a,1),3494(a,1,2))]. 3498 K(((1 / x) \ y) * (1 / x),x) = K(y,x). [hyper(262,a,1417,a(flip),b,3439,a),flip(a)]. 3499 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(141(a,1),3439(a,2,2))]. 3500 K(x,T(y,x \ z)) = K(x,T(y,z)). [para(10(a,1),3484(a,1,2,2)),flip(a)]. 3501 K(x,T(y / (x * z),z)) = K(x,(x * z) \ y). [para(100(a,1),3484(a,1,2)),flip(a)]. 3502 K(x,(y * z) \ z) = K(y,T(x,z)). [para(11(a,1),3485(a,1,1)),flip(a)]. 3503 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(3485(a,2),3037(a,1))]. 3504 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(262,a,3399,a(flip),b,3500,a),flip(a)]. 3505 K(x,T(T(x \ y,z),y)) = K(x,T(x \ y,z)). [para(143(a,1),3500(a,1,2)),flip(a)]. 3506 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(3500(a,1),2097(a,2,2))]. 3507 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [para(3114(a,1),3500(a,1,2)),flip(a)]. 3508 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(3500(a,1),3373(a,1,1))]. 3509 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(262,a,3427,a,b,3502,a),flip(a)]. 3510 K(x,T(y,x)) != z | K(x,y) = z. [para(3502(a,1),3073(a,1))]. 3511 K(x,x \ (y * x)) != z | K(x,y) = z. [para(22(a,1),3510(a,1,2))]. 3513 T(K(x,y),x) != z | K(x,y) = z. [para(3399(a,1),3510(a,1))]. 3514 T(x,y) != K(z,1 / T(u,y)) | K(z,1 / u) = x. [para(2515(a,2),3412(a,2,2))]. 3516 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(62,a,3234,a(flip),b,3457,a),flip(a)]. 3517 R(x,y \ K(y,z),K(u,y)) = x. [para(2302(a,1),3463(a,1,2))]. 3518 R(x,y \ K(y,z),K(u,y)) != w | x = w. [para(3517(a,1),50(a,2))]. 3519 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(3399(a,1),3410(a,2,1))]. 3520 K(x,T(y \ 1,z)) = K(x,T(y,z) \ 1). [hyper(262,a,3399,a,b,3419,a)]. 3521 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [para(232(a,1),3420(a,2,1,2))]. 3522 (T(x \ y,z) * x) \ T(y,x) = K(y \ x,T(z,y)). [para(2817(a,1),3428(a,1,1))]. 3523 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(2572,a,3442,a)]. 3524 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [hyper(262,a,23,a,b,3443,a),flip(a)]. 3525 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(1261(a,1),3468(a,1,2,1))]. 3526 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(262,a,2102,a,b,3492,a),flip(a)]. 3527 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(2076(a,1),3526(a,1,2,2,1))]. 3528 K((1 / x) * y,x) = K(y * (1 / x),x). [para(9(a,1),3498(a,1,1,1)),flip(a)]. 3529 K(T(x,1 / y) / y,y) = K(x / y,y). [para(1107(a,1),3498(a,1,1))]. 3530 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(262,a,2097,a,b,3506,a),flip(a)]. 3532 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(2211(a,1),3519(a,2,1))]. 3533 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [para(100(a,1),3520(a,2,2,1))]. 3534 T(T(x,y),z) != K(x,y) * u | T(x,T(z,y)) = u. [para(3523(a,1),42(a,1))]. 3535 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(3399(a,2),3523(a,1,2,2))]. 3536 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(262,a,2308,a(flip),b,3528,a),flip(a)]. 3537 K(T(x / (y / (y / z)),1 / (y / z)) / (y / z),y / z) = K((x / z) / (z \ y),y / z). [para(3201(a,1),3529(a,2,1))]. 3539 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(2324(a,1),3445(a,1))]. 3540 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(25(a,2),3539(a,1,1))]. 3541 K((x \ y) * x,z) != u | K(y,T(z,x)) = u. [para(201(a,1),3539(a,1,1))]. 3543 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(2975(a,1),3539(a,1))]. 3544 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(3426(a,2),3539(a,1))]. 3545 K(x,T(x \ y,z)) != u | K(x,T(y,z)) = u. [para(3418(a,2),3543(a,1))]. 3547 K(x,(y * z) \ z) != u | K(x,z \ (y \ z)) = u. [para(3502(a,2),3455(a,1))]. 3548 K(x * y,L(T(z,x),u,w)) != v5 | K(y * x,L(z,u,w)) = v5. [para(25(a,2),3456(a,1,2))]. 3549 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(2370(a,2),3456(a,1,1))]. 3550 K(T(x,y),y / z) != u | K(x,z \ y) = u. [para(2617(a,1),3490(a,1))]. 3551 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(385(a,1),3503(a,1,1))]. 3552 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(2193(a,2),3503(a,1,1))]. 3554 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(140(a,1),3550(a,1,1))]. 3556 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(2975(a,1),3550(a,1))]. 3559 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(144(a,1),3433(a,2,2))]. 3560 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1638(a,1),3433(a,1,1)),flip(a)]. 3561 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(2134(a,1),3433(a,2,2))]. 3562 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [para(633(a,1),3467(a,1,2,2))]. 3563 x * T(x \ (y \ x),z) = T(y,z) \ x. [hyper(62,a,2779,a(flip),b,3562,a)]. 3564 T(x / y,z) \ x = x * T(x \ y,z). [para(77(a,1),3563(a,1,2,1,2)),flip(a)]. 3565 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(2777,a,3473,a(flip)),flip(a)]. 3566 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(903(a,1),3487(a,1,2))]. 3567 K(x,T(T(x \ y,z),y)) != u | K(x,T(y,z)) = u. [para(3505(a,2),3545(a,1))]. 3568 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(170(a,1),3561(a,1,1,1)),flip(a)]. 3569 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(2389(a,1),3448(a,1))]. 3571 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(2975(a,1),3569(a,1,1))]. 3572 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(2349(a,2),3571(a,1))]. 3573 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(25(a,2),3394(a,2,2))]. 3574 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [hyper(248,a,3413,a)]. 3575 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(3085,a,3422,a(flip))]. 3576 K(x,y) * K(y,T(x,z)) = K(z,K(x,y)). [hyper(34,a,2986,a,b,3575,a)]. 3577 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(3576(a,1),3177(a,1,1))]. 3579 T(T(x,y),z) * K(y,x) = x * K(T(x,y),z). [hyper(262,a,2454,a(flip),b,3472,a),flip(a)]. 3580 x / L(y,z,y) = (x / T(y,y * u)) * K(y,u). [para(2274(a,2),3495(a,1,2))]. 3581 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(611(a,1),3535(a,1,1))]. 3582 K((x \ y) * x,1 / x) = K(y,1 / x). [hyper(62,a,2310,a(flip),b,3536,a),flip(a)]. 3583 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(466,a,3382,a)]. 3584 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(62,a,3373,a(flip),b,3583,a)]. 3585 K(x,y) * R(x,z,R(x,u,w)) = T(R(x,z,R(x,u,w)),y). [para(3584(a,1),2102(a,2,1)),flip(a)]. 3586 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(3584(a,1),2343(a,1,1,1)),flip(a)]. 3587 K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. [para(3584(a,1),2543(a,1,1))]. 3588 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(466,a,3383,a)]. 3589 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(62,a,3373,a(flip),b,3588,a)]. 3590 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(62,a,3373,a(flip),b,3508,a),flip(a)]. 3591 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [para(3590(a,1),2322(a,1,1))]. 3593 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(3532(a,2),3543(a,1))]. 3594 K(x,y) * R(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(262,a,27,a,b,3585,a),flip(a)]. 3595 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(2327,a,3591,a),flip(a)]. 3596 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [hyper(104,a,3594,a(flip),b,2281,a),flip(a)]. 3597 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [para(3399(a,2),3402(a,1,1))]. 3598 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(262,a,3403,a(flip),b,3560,a),flip(a)]. 3599 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(3251,a,3597,a),flip(a)]. 3600 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(2531,a,3599,a)]. 3601 K(x,T((y * z) \ y,u)) = K(x,T(z \ 1,u)). [para(9(a,1),3599(a,1,2,1,1)),flip(a)]. 3602 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [para(661(a,1),3601(a,1,2,1)),flip(a)]. 3603 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(100(a,1),3602(a,2,2))]. 3604 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [para(74(a,1),3603(a,1,2,1,1))]. 3605 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(62,a,3584,a(flip),b,3598,a)]. 3607 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(12(a,1),3605(a,1,2,2)),flip(a)]. 3608 K(x,T(y,z * x)) = K(x,T(y,z)). [para(327(a,1),3605(a,1,2,2,2))]. 3609 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(262,a,2239,a,b,3608,a)]. 3610 T(K(x,y),z * x) = K(x,T(y,z)). [hyper(62,a,3399,a(flip),b,3608,a)]. 3611 K(x,T(y,z / x)) = K(x,T(y,z)). [para(12(a,1),3608(a,1,2,2)),flip(a)]. 3612 K(x,L(T(y,z * x),u,w)) = K(x,T(L(y,u,w),z)). [para(25(a,2),3608(a,1,2))]. 3613 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(79(a,1),3608(a,1,2,2))]. 3614 (x * y) * K(y,T(z,x)) = K(y,z) * (x * y). [para(3608(a,1),3398(a,1,2))]. 3615 T(K(x,y),T(y,z) * x) = K(x,y). [para(142(a,1),3610(a,2,2))]. 3616 K(x,T(y,z * x)) != u | K(x,T(y,z)) = u. [para(3609(a,1),3252(a,1))]. 3617 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(2959,a,3614,a),flip(a)]. 3618 K(x,L(T(y,z * x),u,w)) = K(x,L(T(y,z),u,w)). [para(25(a,2),3612(a,2,2))]. 3619 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(262,a,3403,a(flip),b,3431,a),flip(a)]. 3620 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(3431(a,2),3539(a,1))]. 3621 T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,z) * y,w),u)). [para(3126(a,1),3619(a,1,1,1,1,2))]. 3622 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1161(a,1),3228(a,1,2))]. 3623 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(18(a,2),3241(a,1,1,1,1))]. 3624 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(1908,a,3266,a)]. 3625 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(1893(a,1),3310(a,1,1,2))]. 3626 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(2904(a,1),3337(a,1,1,1)),flip(a)]. 3627 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [hyper(119,a,3626,a(flip))]. 3628 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = (y * (K(z,x) * L(z,u,w))) \ (y * L(z,u,w)). [para(3140(a,1),3626(a,2,1))]. 3629 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(3627(a,1),2420(a,1,1)),flip(a)]. 3630 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(2918(a,1),3627(a,1,2,2))]. 3631 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(2427(a,1),3630(a,1,1,1))]. 3632 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [para(3403(a,1),3631(a,1,2)),flip(a)]. 3633 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(3403(a,1),3632(a,1,1,2))]. 3634 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(9(a,1),3346(a,1,2))]. 3635 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(74(a,1),3353(a,1,1,1)),flip(a)]. 3636 (1 / (1 / x)) / (y * (T(y,z) \ 1)) = x / (T(y,z) \ ((y \ 1) \ 1)). [para(3635(a,1),2812(a,2,2))]. 3637 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(3094(a,1),3365(a,1,2))]. 3638 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(1533(a,1),3613(a,1,2)),flip(a)]. 3639 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(62,a,3309,a(flip),b,3625,a),flip(a)]. 3640 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(74(a,1),3639(a,1,2,1,2)),flip(a)]. 3641 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(300(a,1),3640(a,1,2,1)),flip(a)]. 3642 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(2928(a,1),3641(a,1,2,1))]. 3643 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [para(2144(a,1),3642(a,1,2,1,2))]. 3644 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(2072(a,1),3642(a,1,2,1)),flip(a)]. 3645 K(x,(y * x) \ z) = K(x,(x * y) \ z). [para(81(a,1),3643(a,1,2,1)),flip(a)]. 3646 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(3643(a,1),2097(a,2,2))]. 3647 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(2212(a,1),3643(a,1,2,1,2))]. 3648 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(3024(a,1),3643(a,1,2,1)),flip(a)]. 3649 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(3082(a,1),3643(a,1,2,1))]. 3650 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(3398(a,1),3643(a,1,2,1))]. 3651 K(x,((y * K(z,x)) * u) \ w) = K(x,(y * u) \ w). [para(3627(a,1),3643(a,1,2,1)),flip(a)]. 3652 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(686(a,1),3644(a,1,2,1)),flip(a)]. 3653 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(3438(a,1),3647(a,1,2,1,2))]. 3654 K(x,(((x \ y) * x) * z) \ u) = K(x,(y * z) \ u). [para(2558(a,1),3648(a,1,2,1))]. 3655 K(x,((x / y) * z) \ u) = K(x,((y \ x) * z) \ u). [para(2690(a,1),3648(a,1,2,1))]. 3656 K(x,y \ K(x,z)) = K(y,x). [hyper(3073,a,3650,a),flip(a)]. 3657 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(14(a,2),3650(a,1,2)),flip(a)]. 3658 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(2834(a,1),3650(a,1,2,1)),flip(a)]. 3659 K(x,y \ K(x,z)) != u | K(y,x) = u. [para(3650(a,1),3073(a,1))]. 3660 K(K(x,y) * z,x) = K(z,x). [hyper(3073,a,3656,a),flip(a)]. 3661 K(K(x,y) \ z,x) = K(z,x). [hyper(3037,a,3656,a)]. 3662 K(K(x,y) * z,x) != u | K(z,x) = u. [para(3656(a,1),3073(a,1))]. 3663 K(K(x \ y,x) * z,y) = K(z,y). [para(2144(a,2),3660(a,1,1,1))]. 3664 K(K(x,y) * z,y) = K(z,y). [para(2212(a,1),3660(a,1,1,1))]. 3665 K(T(x,y) * z,x) = K(x * z,x). [para(2107(a,1),3660(a,1,1))]. 3666 K(T(x,y) \ z,x) = K(x \ z,x). [para(2273(a,1),3660(a,1,1)),flip(a)]. 3668 K((x / y) \ z,x) = K((y \ x) \ z,x). [para(2448(a,1),3660(a,1,1)),flip(a)]. 3669 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(3660(a,1),2923(a,1,1))]. 3670 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(3577(a,1),3660(a,1,1))]. 3671 K(x * T(y,z),z) = K(x * y,z). [para(2615(a,1),3664(a,1,1))]. 3672 K(x * K(y,z),z) = K(x,z). [para(3027(a,1),3664(a,1,1))]. 3673 K(x * K(y,z),z) = 1 / K(z,x). [hyper(262,a,2324,a,b,3672,a),flip(a)]. 3674 K(x * K(y,z),y) = K(x,y). [para(2214(a,1),3672(a,1,1,2))]. 3675 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(3672(a,1),2366(a,1,1))]. 3676 K(x * L(K(y,z),u,w),z) = K(x,z). [para(2721(a,1),3672(a,1,1,2))]. 3677 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(3011(a,1),3672(a,1,1,2))]. 3678 K(x * K(y,T(z,u)),z) = K(x,z). [para(3403(a,1),3672(a,1,1,2))]. 3679 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(3674(a,1),2602(a,1,1,1,2)),flip(a)]. 3680 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(3663(a,1),2097(a,2,2)),flip(a)]. 3681 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(3665(a,1),2097(a,2,2)),flip(a)]. 3682 x * K(T(y,z) \ x,y) = (y \ x) * y. [para(3666(a,2),255(a,1,2))]. 3683 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(3155(a,1),3670(a,1,1)),flip(a)]. 3684 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(3123(a,1),3671(a,1,1)),flip(a)]. 3685 K(x,y * K(z,x)) = K(x,y). [hyper(2331,a,3673,a)]. 3686 K(x * K(y,z),z) != u | K(x,z) = u. [para(3673(a,2),2329(a,1))]. 3687 K(x,y * K(x,z)) = K(x,y). [para(2214(a,1),3685(a,1,2,2))]. 3688 K(x,y * K(x \ 1,z)) = K(x,y). [para(2496(a,2),3685(a,1,2,2))]. 3689 K(x,K(y,x) * z) = K(x,z). [para(2979(a,1),3685(a,1,2))]. 3690 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(2913(a,1),3685(a,1,2))]. 3691 K(x,y \ T(z,x)) = K(x,y \ z). [para(3184(a,1),3685(a,1,2))]. 3692 K(x,K(x,y) * z) = K(x,z). [para(3451(a,1),3685(a,1,2)),flip(a)]. 3693 L(K(x,y),y,z) = K(x,y * K(x,u)). [hyper(262,a,2942,a,b,3687,a)]. 3694 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(3687(a,1),3200(a,1,2,2))]. 3695 K(x,K(y,x) \ z) = K(x,z). [para(3396(a,1),3687(a,1,2))]. 3696 K(x,K(x,y) \ z) = K(x,z). [para(2389(a,2),3689(a,1,2))]. 3697 K(x,K(x \ 1,y) * z) = K(x,z). [para(2496(a,2),3689(a,1,2,1))]. 3698 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(2690(a,1),3689(a,1,2))]. 3699 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(3577(a,1),3692(a,1,2))]. 3700 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(2608(a,1),3678(a,1,1))]. 3701 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(262,a,2061,a(flip),b,3688,a),flip(a)]. 3702 K(x,y \ (z * x)) = K(x,y \ (x * z)). [hyper(62,a,1442,a(flip),b,3691,a)]. 3703 K(x,y \ ((z \ x) \ x)) = K(x,y \ z). [para(634(a,1),3691(a,1,2,2))]. 3704 K(x \ y,T(x,T(z,y))) = K(x \ y,T(x,z)). [para(3530(a,1),3699(a,1,2))]. 3706 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(977(a,1),3662(a,1,1))]. 3707 K(((x \ 1) \ 1) * y,z) != u | K(x * y,z) = u. [para(999(a,1),3662(a,1,1))]. 3708 K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. [para(1056(a,1),3662(a,1,1))]. 3709 K(x * (y * K(z,u)),u) = K(x * y,u). [para(88(a,1),3676(a,1,1))]. 3710 K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. [para(970(a,1),3686(a,1,1))]. 3711 K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. [para(993(a,1),3686(a,1,1))]. 3712 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(1044(a,1),3686(a,1,1))]. 3713 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(3184(a,1),3686(a,1,1))]. 3714 K(x,y * K(x,z)) != u | K(x,y) = u. [para(3693(a,1),309(a,1)),flip(b)]. 3715 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(978(a,1),3714(a,1,2))]. 3716 K(x,y * ((z \ 1) \ 1)) != u | K(x,y * z) = u. [para(1006(a,1),3714(a,1,2))]. 3717 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(1020(a,1),3714(a,1,2))]. 3718 K(x,y * K(z,x)) != u | K(x,y) = u. [para(2212(a,1),3714(a,1,2,2))]. 3719 K(x,y / T(z,x)) != u | K(x,y / z) = u. [para(2912(a,1),3714(a,1,2))]. 3720 L(K(x,y),y,z) != u | K(x,y) = u. [para(3693(a,2),3714(a,1))]. 3721 K(x,K(y,x) * z) != u | K(x,z) = u. [para(2979(a,1),3718(a,1,2))]. 3722 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(3184(a,1),3718(a,1,2))]. 3723 K(x,T(x,y) \ z) != u | K(x,z) = u. [para(2457(a,2),3721(a,1))]. 3724 K(x,(x / y) * z) != u | K(x,(y \ x) * z) = u. [para(2690(a,1),3721(a,1,2))]. 3725 K(x * y,(y * x) \ z) != u | K(x * y,z) = u. [para(170(a,1),3723(a,1,2,1))]. 3726 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(62,a,3283,a(flip),b,3668,a),flip(a)]. 3727 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(2920,a,3682,a)]. 3728 K(x,((y \ x) \ x) * z) = K(x,y * z). [para(74(a,1),3698(a,1,2,1)),flip(a)]. 3729 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(3700(a,1),2790(a,1,1,2))]. 3730 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(2100,a,3701,a)]. 3731 T(x,y * K(z,x)) = T(x,y). [para(2496(a,1),3730(a,1,2,2))]. 3732 T(x,y * K(x,z)) = T(x,y). [para(2214(a,1),3731(a,1,2,2))]. 3733 T(x,K(y,x) * z) = T(x,z). [para(2979(a,1),3731(a,1,2))]. 3734 T(x,K(x,y) * z) = T(x,z). [para(3451(a,1),3731(a,1,2)),flip(a)]. 3735 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(3732(a,1),179(a,1,2,1))]. 3736 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(3732(a,1),1182(a,1,2,1))]. 3737 (x / (x * y)) \ T(x,y) = x * (y * K(x,y)). [para(3732(a,1),2887(a,1,2))]. 3739 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(3733(a,1),2685(a,1,3))]. 3740 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(262,a,2597,a(flip),b,3734,a),flip(a)]. 3741 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(3734(a,1),2298(a,1,1))]. 3742 K(x,T(y,K(x,z) * u)) = K(T(x,u),y). [para(3734(a,1),3403(a,1,1)),flip(a)]. 3743 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(3577(a,1),3734(a,1,2))]. 3744 T(x,T(y,z / x)) = T(x,T(y,x \ z)). [para(100(a,1),3743(a,1,2,2)),flip(a)]. 3745 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(262,a,3284,a,b,3702,a)]. 3746 K(x,L(y,((z \ x) \ x) \ 1,(z \ x) \ x) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [hyper(62,a,3032,a(flip),b,3703,a),flip(a)]. 3747 K(x * (y \ T(z,u)),u) = K(x * (y \ z),u). [para(3184(a,1),3709(a,1,1,2))]. 3748 K(x * (K(y,z) * u),y) = K(x * u,y). [para(3451(a,1),3709(a,1,1,2)),flip(a)]. 3749 K(x,T(y,K(x,z) * u)) = K(x,T(y,u)). [hyper(262,a,3403,a(flip),b,3742,a),flip(a)]. 3750 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(262,a,3530,a(flip),b,3744,a),flip(a)]. 3751 T(x \ y,T(z,y)) = T(x \ y,T(z,x)). [para(74(a,1),3750(a,1,2,2)),flip(a)]. 3752 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(3748(a,1),2600(a,1,2,1,2)),flip(a)]. 3753 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [para(2212(a,1),3749(a,1,2,2,1))]. 3754 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(2543(a,1),3749(a,1,2,2)),flip(a)]. 3755 K(x,T(y \ x,T(z,y))) = K(x,T(y \ x,z)). [para(3751(a,1),3699(a,1,2))]. 3756 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(262,a,3399,a(flip),b,3753,a),flip(a)]. 3757 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [hyper(62,a,3399,a(flip),b,3756,a)]. 3758 T(K(x,y),z * K(u,x)) = T(K(x,y),z). [para(3027(a,1),3757(a,1,2))]. 3759 T(K(x,y),z * T(x,u)) = T(K(x,y),z * x). [para(2922(a,1),3758(a,1,2)),flip(a)]. 3760 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(22(a,1),3713(a,1,1,2))]. 3761 K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. [para(201(a,1),3713(a,1,1,2))]. 3762 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(100(a,1),3719(a,1,2,2))]. 3763 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(170(a,1),3719(a,1,2,2))]. 3764 K(x * y,z \ T(x,y)) != u | K(x * y,z \ x) = u. [para(630(a,1),3722(a,1,2,2))]. 3765 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(262,a,2097,a,b,3646,a),flip(a)]. 3766 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(3024(a,1),3765(a,1,2,1)),flip(a)]. 3767 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(3093(a,1),3765(a,1,2,1)),flip(a)]. 3769 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(3082(a,1),3677(a,1,1))]. 3770 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,z)). [para(2076(a,1),3704(a,1,2,2)),flip(a)]. 3771 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(62,a,2820,a(flip),b,3726,a),flip(a)]. 3772 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(716,a,3727,a),flip(a)]. 3773 (x / (x * y)) \ T(x,y) = T(x,y) * y. [hyper(262,a,2195,a(flip),b,3737,a),flip(a)]. 3775 K(x * ((y * z) \ z),y) = K(x * ((z * y) \ z),y). [para(2386(a,1),3747(a,1,1,2))]. 3776 K(x,T(y \ x,z / y)) = K(x,T(y \ x,y \ z)). [para(100(a,1),3755(a,1,2,2)),flip(a)]. 3777 T(K(x,y),T(y,z) * T(x,u)) = K(x,y). [hyper(262,a,3615,a(flip),b,3759,a),flip(a)]. 3778 T(K(x,y),T(x,z) * T(y,u)) = 1 / K(y,x). [para(3777(a,1),2517(a,1,2)),flip(a)]. 3779 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(34,a,2899,a,b,3772,a),flip(a)]. 3780 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(2910,a,3779,a)]. 3781 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(181,a,3779,a(flip),b,2272,a)]. 3783 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(389,a,3781,a)]. 3784 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(3781(a,1),178(a,1,2)),flip(a)]. 3785 T(x / y,T(x,z)) = T(y \ x,K(x,z)). [para(642(a,1),3781(a,1,1)),flip(a)]. 3786 T(x,T(y,z)) * K(z,y) = K(z,y) * T(x,y). [para(3781(a,1),2337(a,1,1))]. 3787 K(x,T(y,T(z,L(x,u,w)))) = K(x,T(y,z)). [para(3781(a,1),3444(a,1,2))]. 3788 K(x,y) * T(x,K(y,z)) = T(x,T(y,z)). [hyper(62,a,3001,a,b,3783,a)]. 3789 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(2167(a,1),3783(a,1,1,2))]. 3790 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(2994(a,1),3783(a,1,1)),flip(a)]. 3791 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(62,a,1274,a(flip),b,3790,a)]. 3792 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(262,a,2904,a,b,3780,a)]. 3793 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(34,a,2814,a,b,3780,a(flip))]. 3794 T((x / y) * K(y,z),y) = (y \ x) * K(y,z). [para(100(a,1),3780(a,2,1))]. 3795 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(262,a,3178,a,b,3784,a)]. 3796 (x / y) * K(x / y,T(x,z)) = T(y \ x,K(x,z)). [hyper(2482,a,3785,a)]. 3797 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(3204,a,3788,a)]. 3798 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(716,a,3793,a),flip(a)]. 3799 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(3793(a,1),2846(a,1,2)),flip(a)]. 3800 K(x,K(y,z)) = K(z,K(y,x)). [hyper(34,a,3577,a,b,3797,a)]. 3801 K(K(x,y),z) = K(x,K(y,z)). [hyper(3055,a,3800,a)]. 3802 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(3800(a,1),2071(a,2,1)),flip(a)]. 3803 x * K(y,K(z,x)) = T(x,K(z,y)). [para(3800(a,1),2097(a,2,2)),flip(a)]. 3804 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(3800(a,1),2089(a,1,1))]. 3806 K(x,K(y \ 1,z)) = K(z,K(x,y)). [para(2496(a,1),3800(a,1,2)),flip(a)]. 3807 a(x,y,K(z,K(u,y))) = 1. [para(3800(a,1),2939(a,1,3))]. 3809 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(3800(a,1),3422(a,1,1))]. 3810 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(3800(a,1),3575(a,1,1))]. 3811 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(3800(a,1),3572(a,1,1))]. 3812 a(x,y,K(z,K(1 / y,u))) = 1. [para(2498(a,2),3807(a,1,3,2))]. 3813 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(3054,a,3801,a)]. 3814 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(3052,a,3801,a),flip(a)]. 3815 K(K(x,y) * z,z) = K(x,K(y,z)). [hyper(2258,a,3801,a)]. 3816 K(K(L(x \ 1,y,z) \ 1,u),w) = L(K(x,K(u,w)),y,z). [hyper(262,a,2721,a(flip),b,3801,a),flip(a)]. 3817 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(262,a,2714,a(flip),b,3801,a),flip(a)]. 3818 K(x,K(y,z)) \ z = T(z,K(x,y)). [para(3801(a,1),2071(a,2,1)),flip(a)]. 3819 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [para(3801(a,1),2097(a,2,2)),flip(a)]. 3820 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [para(3801(a,1),2102(a,2,1)),flip(a)]. 3821 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(3801(a,1),2101(a,1,2))]. 3823 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(3801(a,1),2905(a,1,2))]. 3825 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(3801(a,1),3343(a,1,2))]. 3826 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(3660(a,1),3801(a,1,1)),flip(a)]. 3827 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(3696(a,1),3801(a,1,1)),flip(a)]. 3829 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(262,a,3800,a,b,3806,a),flip(a)]. 3830 K(x,K(y,z)) = K(y,K(x,z)). [para(2496(a,1),3806(a,1,2))]. 3831 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(3230(a,1),3806(a,1,2)),flip(a)]. 3832 K(K(x,y),z) = K(y,K(z,x)). [hyper(3055,a,3830,a)]. 3833 K(K(x,y),z) = K(y,K(x,z)). [hyper(262,a,3801,a,b,3830,a)]. 3834 K(x,K(y,z)) = K(z,K(x,y)). [hyper(262,a,3800,a,b,3830,a),flip(a)]. 3835 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(2029(a,2),3830(a,1,2))]. 3836 x * K(y,K(x,z)) = T(x,K(y,z)). [para(3830(a,1),2097(a,2,2)),flip(a)]. 3837 K(x,K(y,z)) * y = T(y,K(x,z)). [para(3830(a,1),2102(a,2,1)),flip(a)]. 3838 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(3830(a,1),2101(a,1,2))]. 3839 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(3830(a,1),2146(a,1,1))]. 3840 x * K(y,K(z,x)) = T(x,K(y,z)). [para(3830(a,1),3803(a,1,2))]. 3841 K(K(x,y),z) = K(x,K(z,y)). [hyper(262,a,3800,a,b,3832,a),flip(a)]. 3842 K(K(x,y),z) = K(z,K(x,y)). [hyper(262,a,3800,a,b,3833,a),flip(a)]. 3843 K(x,K(y,z)) = K(x,K(z,y)). [hyper(62,a,3832,a(flip),b,3833,a)]. 3844 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(3833(a,1),1523(a,1,1))]. 3845 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(2714(a,1),3833(a,1,1)),flip(a)]. 3846 K(x,K(L(y \ 1,z,u) \ 1,w)) = K(L(K(y,x),z,u),w). [para(2721(a,1),3833(a,1,1)),flip(a)]. 3847 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(262,a,3806,a,b,3834,a)]. 3848 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(62,a,3806,a(flip),b,3834,a),flip(a)]. 3849 K(x,K(y,z)) * z = T(z,K(x,y)). [para(3834(a,2),2102(a,2,1)),flip(a)]. 3850 K(x,K(y \ z,z)) = K(z,K(y,x)). [para(2214(a,2),3834(a,2,2)),flip(a)]. 3851 K(x \ 1,K(y,z)) = K(y,K(x,z)). [para(2499(a,1),3834(a,1,2)),flip(a)]. 3852 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(3834(a,2),2342(a,1,1))]. 3853 (x * y) * K(z,K(u,y)) = x * T(y,K(z,u)). [para(3834(a,2),2905(a,1,2))]. 3854 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(3834(a,2),2917(a,1,1,2))]. 3855 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(3834(a,2),2968(a,2,2))]. 3856 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(3834(a,2),3329(a,1,1))]. 3857 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(3403(a,1),3834(a,1,2))]. 3858 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(3834(a,2),3575(a,1,1))]. 3859 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(3054,a,3842,a)]. 3860 K(x,K(y,z)) * K(x,K(y,z)) = 1. [para(3842(a,1),2322(a,1,1))]. 3861 K(x,K(y,z)) * (K(x,K(y,z)) * u) = u. [para(3842(a,1),2383(a,1,1))]. 3862 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(3842(a,1),2389(a,1,1))]. 3863 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(3842(a,1),2392(a,1,1))]. 3864 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(3842(a,1),2397(a,1,1))]. 3865 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | u = w. [para(3842(a,1),2413(a,1,1))]. 3866 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(3842(a,1),2348(a,1,2))]. 3867 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(3842(a,1),2477(a,1,1))]. 3868 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(3842(a,1),2912(a,1,2))]. 3870 K(x,K(y,z)) * x = T(x,K(z,y)). [para(3843(a,1),2102(a,2,1)),flip(a)]. 3871 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(2213(a,1),3843(a,1,2)),flip(a)]. 3872 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(2498(a,1),3843(a,1,2)),flip(a)]. 3873 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(2617(a,1),3843(a,1,2))]. 3874 K(x,K(y,T(z,u))) = K(x,T(K(z,y),u)). [para(2975(a,1),3843(a,1,2)),flip(a)]. 3875 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(3003(a,1),3843(a,1,2))]. 3876 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(3322(a,1),3843(a,1,2)),flip(a)]. 3877 K(x,K(y,T(z,u))) = K(x,K(z,T(y,u))). [para(3403(a,1),3843(a,1,2))]. 3878 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(3436(a,2),3843(a,1,2))]. 3879 K(x,K(y,1 / z)) = K(z,K(x,y)). [hyper(3074,a,3813,a),flip(a)]. 3880 L(K(x \ 1,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(62,a,2717,a,b,3813,a)]. 3882 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(262,a,3830,a,b,3814,a),flip(a)]. 3883 T(x,K(y,z)) = T(x,K(z,y)). [hyper(62,a,3803,a(flip),b,3840,a)]. 3884 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(2472,a,3883,a)]. 3885 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(2402,a,3883,a)]. 3886 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(2361,a,3883,a),flip(a)]. 3887 T(T(x,K(y,z)),K(y,z)) = x. [hyper(2356,a,3883,a)]. 3888 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [hyper(389,a,3883,a)]. 3889 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(367,a,3883,a),flip(a)]. 3890 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(3883(a,1),98(a,1,2))]. 3891 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(3883(a,1),389(a,1,1))]. 3892 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(3883(a,1),1196(a,1,2))]. 3893 T(x,K(y,z)) != u | T(u,K(y,z)) = x. [para(3883(a,1),2338(a,1))]. 3894 T(x,K(y \ 1,z)) = T(x,K(y,z)). [para(2496(a,2),3883(a,1,2))]. 3895 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(3883(a,1),2337(a,1,1))]. 3896 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(3883(a,1),3783(a,1,1))]. 3897 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [hyper(871,a,3887,a)]. 3898 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(3887(a,1),377(a,1,2))]. 3899 (x * K(y,z)) / x = T(K(y,z),x). [para(3887(a,1),1207(a,1,2))]. 3900 T(K(x,y),z) * z = z * K(x,y). [para(3887(a,1),1208(a,1,2))]. 3901 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(3887(a,1),2356(a,1,1)),flip(b)]. 3902 T(T(x,K(y,z)),T(y,z)) = T(x,y). [para(3887(a,1),3783(a,1,1)),flip(a)]. 3903 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(2711(a,2),3847(a,1,2))]. 3904 K(x,K(y,z / (u * z))) = K(x,K(y,u)). [para(2628(a,2),3848(a,1,2))]. 3906 K(x,K(y,z \ x)) = K(x,K(z,y)). [hyper(62,a,3834,a(flip),b,3850,a)]. 3907 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(3850(a,1),3840(a,1,2)),flip(a)]. 3909 K(x,K(y,1 / z)) = K(x,K(z,y)). [hyper(262,a,3843,a,b,3872,a),flip(a)]. 3911 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(3010(a,1),3882(a,1,2)),flip(a)]. 3912 T(T(K(x,y),z),z) = K(x,y). [para(3899(a,1),171(a,1,1))]. 3913 (x * L(K(y,z),u,w)) / x = L(T(K(y,z),x),u,w). [para(3899(a,1),762(a,1,1)),flip(a)]. 3914 T(K(x,1 / T(y,z)),z) = K(x,1 / y). [hyper(3514,a,3912,a),flip(a)]. 3915 T(K(x,T(y,z)),z) = K(x,y). [hyper(3412,a,3912,a),flip(a)]. 3916 T(K(1 / T(x,y),z),y) = K(1 / x,z). [hyper(3105,a,3912,a),flip(a)]. 3917 T(K(x \ y,z),y) = K(y / x,z). [hyper(3022,a,3912,a),flip(a)]. 3918 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(1239,a,3912,a),flip(a)]. 3919 K(x,T(T(y,z),z)) = K(x,y). [hyper(62,a,3519,a,b,3912,a)]. 3920 K(x,T(y * z,z)) = K(x,z * y). [hyper(3481,a,3915,a),flip(a)]. 3921 K(x \ y,T(z,y)) = K(y / x,z). [hyper(3288,a,3915,a)]. 3922 K(T(x,y),T(z,y)) = K(x,z). [hyper(3168,a,3915,a)]. 3923 K(x,T(y,z)) * z = z * K(x,y). [para(3915(a,1),98(a,1,2)),flip(a)]. 3925 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(3915(a,1),180(a,1,2,1)),flip(a)]. 3926 (K(x,T(y,z * u)) * z) * u = (z * u) * R(K(x,y),z,u). [para(3915(a,1),554(a,1,2,1)),flip(a)]. 3927 T(K(x,y \ 1),z) = K(x,y \ K(y,z)). [para(2519(a,1),3915(a,1,1,2))]. 3928 T(K(x \ y,z),x) = K(y / x,z). [para(3436(a,1),3915(a,1,1))]. 3929 K(x \ y,T(z,x)) = K(y / x,z). [hyper(3503,a,3919,a)]. 3930 K((x * y) / x,z) = K(y,T(z,x)). [hyper(3491,a,3919,a),flip(a)]. 3931 K(x * y,T(z,y)) = K(y * x,z). [hyper(3456,a,3919,a)]. 3932 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(62,a,3433,a,b,3919,a)]. 3933 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(62,a,3609,a(flip),b,3919,a),flip(a)]. 3934 K(x,T(y \ z,y)) = K(x,z / y). [para(100(a,1),3919(a,1,2,1))]. 3935 K(x,(y * z) / y) = K(x,T(z,y)). [para(171(a,1),3919(a,1,2,1)),flip(a)]. 3936 K(x,y / (y / z)) = K(x,T(z,y)). [para(640(a,1),3919(a,1,2,1)),flip(a)]. 3937 K(x,T(y \ z,z)) = K(x,z / y). [para(642(a,1),3919(a,1,2,1))]. 3938 K(x,T(y,z \ 1)) = K(x,T(y,z)). [para(1235(a,1),3919(a,1,2,1))]. 3939 K(x,T((y \ z) * u,z \ y)) = K(x,u * (y \ z)). [para(3114(a,1),3919(a,1,2,1))]. 3940 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(3919(a,1),3443(a,1,1)),flip(a)]. 3941 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(3919(a,1),3491(a,1))]. 3942 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(25(a,2),3922(a,1,2))]. 3943 K(T(x,y),y \ z) = K(x,z / y). [para(100(a,1),3922(a,1,2))]. 3944 K(x,(y * z) / y) = K(T(x,y),z). [para(171(a,1),3922(a,1,2)),flip(a)]. 3945 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(688(a,1),3922(a,1,2))]. 3946 K(T(x,y \ 1),(1 / y) \ z) = K(x,z / (1 / y)). [para(1259(a,1),3922(a,1,2))]. 3947 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(1541(a,1),3922(a,1,2))]. 3948 K(T(x,y),K(x,z)) = 1. [para(3922(a,1),2082(a,1,2))]. 3949 K(x * K(y,x),z) = K(x,T(z,y)). [para(2076(a,1),3922(a,1,1)),flip(a)]. 3950 x * K(T(x,y),T(z,y)) = T(x,z). [para(3922(a,2),2097(a,2,2)),flip(a)]. 3951 K(T(x * K(y,x),z),u) = K(T(x,z),T(u,y)). [para(2118(a,1),3922(a,1,1)),flip(a)]. 3952 K(T(x,y) \ 1,T(z,y)) = K(x \ 1,z). [para(2505(a,1),3922(a,1,1))]. 3953 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(3922(a,1),2449(a,1,1)),flip(a)]. 3954 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(3922(a,1),2839(a,1,1))]. 3955 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(3276(a,1),3922(a,1,1))]. 3956 K(x,T(y,z)) * (z * K(y,x)) = z. [para(3922(a,1),3397(a,1,2,2))]. 3957 K(T(x,y),z) * y = y * K(x,z). [para(3922(a,1),3398(a,1,2)),flip(a)]. 3958 T(K(x,y) * z,z) = z * K(x,y). [hyper(62,a,205,a,b,3900,a)]. 3959 K(x \ y,z) * y = y * K(y / x,z). [para(2967(a,1),3900(a,1,1))]. 3960 T(x \ T(y,z),K(y,z)) = T(T(y,z) / x,y). [hyper(62,a,657,a(flip),b,3902,a)]. 3961 T(T(x,K((y / z) \ 1,z)),(z \ y) \ 1) = T(x,(y / z) \ 1). [para(2510(a,1),3902(a,1,2))]. 3962 K(x,K(x / y,z)) = K(x,K(z,y)). [para(77(a,1),3906(a,1,2,2)),flip(a)]. 3963 K(x,K(x \ y,z)) = K(x,K(y,z)). [para(3003(a,2),3906(a,1,2))]. 3964 K(x \ (y * z),T(y,z)) = K((y * z) / x,y). [hyper(62,a,3408,a(flip),b,3917,a)]. 3965 x / K(x / y,z) = K(y \ x,z) \ x. [para(3917(a,1),637(a,1,2))]. 3966 K(x,T(y,z) * z) = K(x,z * y). [hyper(62,a,1433,a(flip),b,3920,a)]. 3967 K(x \ (y \ z),T(y,z)) = K((y \ z) / x,y). [hyper(62,a,1407,a(flip),b,3921,a)]. 3968 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(105,a,3923,a(flip),b,2078,a)]. 3969 K(x,y \ z) * z = z * K(x,z / y). [para(642(a,1),3923(a,1,1,2))]. 3970 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(3923(a,1),555(a,1,2,1)),flip(a)]. 3971 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(3923(a,1),2077(a,1,2)),flip(a)]. 3972 (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(3923(a,1),2405(a,1,1,3)),flip(a)]. 3973 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(3483(a,1),3923(a,1,1))]. 3974 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(3923(a,1),3749(a,1,2,2))]. 3975 T(K(x \ y,z),x) = K((x / y) \ 1,z). [hyper(262,a,2614,a,b,3928,a),flip(a)]. 3976 K(x / ((y * z) \ y),z) = K(((y * z) \ y) \ x,z). [hyper(62,a,3121,a(flip),b,3928,a),flip(a)]. 3977 K(x \ y,T(z,x)) = K(z,x / y). [hyper(262,a,2617,a(flip),b,3929,a),flip(a)]. 3978 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(14(a,2),3929(a,1,1)),flip(a)]. 3979 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(3929(a,1),2902(a,1,2)),flip(a)]. 3980 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(3732(a,1),3929(a,1,2))]. 3981 K(x * (y / x),z) = K(y,T(z,x)). [para(665(a,1),3930(a,1,1))]. 3982 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(869(a,1),3930(a,1,1))]. 3983 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(3930(a,1),3491(a,1))]. 3984 K(x * y,(x / z) \ 1) = K(y * x,x \ z). [hyper(62,a,3603,a(flip),b,3931,a),flip(a)]. 3985 K((x \ y) * x,z) = K(y,T(z,x \ y)). [para(10(a,1),3931(a,1,1)),flip(a)]. 3986 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(378(a,1),3931(a,1,1))]. 3987 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [para(1235(a,1),3931(a,1,2)),flip(a)]. 3988 K(L(x \ y,z,z \ 1) * x,T(u,x)) = K(y * a((y \ x) \ 1,z,z \ 1),u). [para(1621(a,1),3931(a,2,1))]. 3989 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(2905(a,1),3931(a,1,1))]. 3990 K(x * y,z) * y = y * K(y * x,z). [para(3931(a,1),3398(a,1,2)),flip(a)]. 3991 K(x,T(y \ z,y)) = K(y / z,x). [hyper(262,a,2617,a,b,3934,a),flip(a)]. 3992 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(14(a,2),3934(a,1,2,1)),flip(a)]. 3993 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(18(a,2),3934(a,1,2,1)),flip(a)]. 3994 K(x,L(y,z,1 / z) / (1 / z)) = K(x,T(z * y,1 / z)). [para(371(a,1),3934(a,1,2,1)),flip(a)]. 3995 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(790(a,1),3935(a,1,2)),flip(a)]. 3996 K(x,T(L(y,z,u),w / y)) = K(x,L(w / (w / y),z,u)). [para(789(a,1),3935(a,1,2)),flip(a)]. 3997 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(3936(a,2),3425(a,1))]. 4000 K(x,y / (y * z)) = K(x,(z * y) \ y). [para(659(a,1),3937(a,1,2)),flip(a)]. 4001 K(x,(y * x) / z) != u | K(x,T(z \ (y * x),y)) = u. [para(3937(a,1),3616(a,1))]. 4002 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(77(a,1),3938(a,1,2,2)),flip(a)]. 4003 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(3731(a,1),3943(a,1,1))]. 4004 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(62,a,2224,a,b,3944,a)]. 4005 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(766(a,2),3944(a,1,2))]. 4007 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(2523(a,1),3950(a,1,2,2)),flip(a)]. 4008 x / (x * K(y,z)) = K(z,T(y,x)). [hyper(115,a,3956,a)]. 4010 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [hyper(181,a,3958,a(flip),b,670,a(flip)),flip(a)]. 4012 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(2269(a,1),3958(a,1,1))]. 4013 K(x,K(x / y,z)) = K(x,K(y,z)). [hyper(262,a,3843,a,b,3962,a),flip(a)]. 4014 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(62,a,3843,a,b,3962,a)]. 4015 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(62,a,3843,a,b,3963,a)]. 4016 (T(x \ y,z) * x) \ T(y,x) = K(z,y / x). [hyper(62,a,3522,a,b,3977,a)]. 4017 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(3977(a,2),3056(a,1))]. 4018 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(603(a,2),3981(a,1,1))]. 4019 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(2609(a,1),3981(a,1,1,2)),flip(a)]. 4020 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(3991(a,2),2622(a,1))]. 4021 R(x,y \ z,K(y / z,u)) = x. [para(3991(a,1),3452(a,1,3))]. 4022 x \ (y * K(x / y,z)) = (x \ y) * K(x / y,z). [para(4021(a,1),456(a,1,1))]. 4023 K(x * y,T(y,z)) = z / (z * K(y,x)). [para(2132(a,1),4008(a,1,2,2)),flip(a)]. 4024 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(3894(a,2),3901(a,1))]. 4025 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(642(a,1),3983(a,1,2,1))]. 4026 K(x,T(y,z \ y)) != u | K(x,T(y,z)) = u. [para(889(a,1),3983(a,1,2,1))]. 4027 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(1235(a,1),3983(a,1,2,1))]. 4029 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(3399(a,1),3983(a,1))]. 4030 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(3403(a,2),3983(a,1))]. 4031 K(x,T(y,R(T(x,z),u,w))) != v5 | K(x,y) = v5. [para(3440(a,1),3983(a,1))]. 4032 K(x * y,T(z,y * x)) != u | K(x * y,z) = u. [para(3441(a,1),3983(a,1))]. 4034 T(K(x,L(T(y,z),u,w)),z) != v5 | K(x,L(y,u,w)) = v5. [para(25(a,2),4029(a,1,1,2))]. 4035 T(K(x \ y,z),y) != u | K(y / x,z) = u. [para(3405(a,1),4029(a,1,1))]. 4036 T(K(x,y * z),y) != u | K(x,z * y) = u. [para(3920(a,1),4029(a,1,1))]. 4037 K(T(x,y),T(T(z,y),u)) != w | K(x,T(z,u)) = w. [para(23(a,1),4030(a,1,2))]. 4038 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(25(a,2),4030(a,1,1))]. 4039 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(27(a,2),4030(a,1,2))]. 4040 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(100(a,1),4030(a,1,2))]. 4041 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(170(a,1),4030(a,1,1))]. 4042 K(T(x,y),R(z,y,u)) != w | K(x,((y * z) * u) / (y * u)) = w. [para(868(a,2),4030(a,1,2))]. 4043 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(34,a,2814,a,b,3798,a(flip))]. 4044 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(3500(a,1),3802(a,1,1,2))]. 4045 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(2988,a,3810,a)]. 4046 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(3810(a,1),2988(a,1))]. 4047 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [hyper(262,a,3918,a,b,3819,a),flip(a)]. 4048 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(3819(a,2),3543(a,1))]. 4049 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(3695(a,1),3819(a,1,2,2)),flip(a)]. 4050 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(3106(a,1),3820(a,1,1,2)),flip(a)]. 4051 K(K(x,y) * z,K(x,u)) = K(x,K(u,z)). [hyper(262,a,3832,a(flip),b,3826,a),flip(a)]. 4052 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(262,a,3801,a(flip),b,3826,a),flip(a)]. 4053 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(3826(a,1),3075(a,1))]. 4054 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(2346(a,1),4053(a,1))]. 4056 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(3833(a,1),4053(a,1))]. 4057 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(3841(a,1),4053(a,1))]. 4058 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(3842(a,1),4053(a,1))]. 4060 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(3833(a,2),4054(a,1))]. 4062 K(x,K(y \ 1,z)) != u | K(z,K(x,y)) = u. [para(3829(a,2),4054(a,1))]. 4063 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(3850(a,2),4054(a,1))]. 4066 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(2132(a,2),4057(a,1,2))]. 4068 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(2617(a,1),4057(a,1,2))]. 4069 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(3003(a,1),4057(a,1,2))]. 4071 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(3436(a,2),4057(a,1,2))]. 4072 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(3909(a,2),4057(a,1))]. 4073 K(x,K(x / y,z)) != u | K(x,K(y,z)) = u. [para(3962(a,2),4057(a,1))]. 4074 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(262,a,3801,a(flip),b,3827,a),flip(a)]. 4075 K(x,K(K(x,y) \ z,u)) != w | K(x,K(z,u)) = w. [para(3827(a,2),4053(a,1))]. 4076 K(x,K(T(y,z),u)) = K(y,K(u,T(x,z))). [hyper(4058,a,3857,a)]. 4077 K(x,K(y,T(z,u / x))) = K(z,K(x,T(y,u))). [para(3611(a,1),3857(a,2,2))]. 4078 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(3857(a,2),3819(a,1,2))]. 4079 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(3857(a,1),4058(a,1))]. 4080 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(2430,a,3858,a)]. 4081 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(3858(a,1),2077(a,1,2)),flip(a)]. 4082 K(x,K(y,T(1 / L(1 / z,u,w),v5))) = K(x,T(L(K(z,y),u,w),v5)). [para(2729(a,1),3874(a,2,2,1))]. 4084 K(x,y) * (L(y,z,u) * (w * K(y,x))) = T(L(y,z,u) * w,K(x,y)). [para(3259(a,1),3884(a,1,2))]. 4085 T(K(x,y) \ z,K(x,y)) != u | z * K(y,x) = u. [para(3885(a,1),572(a,1))]. 4086 T(K(x,y) * (z * K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * z). [para(3391(a,1),3886(a,1,1))]. 4087 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(3889(a,1),178(a,1,2,1)),flip(a)]. 4088 K(x,K(y,z * x)) = K(x,K(y,z)). [hyper(62,a,4014,a(flip),b,3904,a)]. 4089 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(3904(a,2),4057(a,1))]. 4090 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(3514,a,3914,a),flip(a)]. 4091 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(3105,a,3916,a),flip(a)]. 4092 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [hyper(262,a,3203,a,b,3940,a),flip(a)]. 4093 K(T(x,y),T(z,y)) / T(z,y) = 1 / (K(z,x) * T(z,y)). [para(3940(a,1),2062(a,2,2))]. 4094 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(141(a,1),3952(a,1,1,1))]. 4095 K(x \ (y \ z),y) * z = z * K(z / (y * x),y). [para(3274(a,1),3959(a,1,1))]. 4096 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(3509(a,1),3968(a,1,1,2))]. 4097 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(3093(a,1),3974(a,1,2,2)),flip(a)]. 4098 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(3803(a,1),3974(a,1,2,2))]. 4099 K((x / (y * x)) \ 1,z) = T(K(T(y,x),z),x). [para(22(a,2),3975(a,1,1,1)),flip(a)]. 4100 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(3985(a,1),3541(a,1))]. 4101 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(4010(a,1),90(a,2,2))]. 4102 K(x * y,T(y,z)) = K(x,T(y,z)). [hyper(262,a,4008,a(flip),b,4023,a),flip(a)]. 4103 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = T(u / z,x) * z. [para(4043(a,1),1567(a,1,1)),flip(a)]. 4104 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(4045(a,1),42(a,1))]. 4105 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(4058,a,4051,a)]. 4106 K(x,K(y,K(z,x) * u)) = K(u,K(x,y)). [para(2383(a,1),4051(a,1,1)),flip(a)]. 4107 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(4052(a,1),3089(a,1,3))]. 4108 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(4056,a,4074,a)]. 4109 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(62,a,4015,a(flip),b,4076,a),flip(a)]. 4110 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(184(a,1),4090(a,1,2,2,1))]. 4111 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(4091(a,1),2064(a,2,2))]. 4112 T(x,T(T(y,z),z)) = T(x,y). [hyper(3534,a,4092,a)]. 4113 (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(4092(a,2),177(a,1,1,1))]. 4114 T(x,T(y \ z,y)) = T(x,z / y). [para(100(a,1),4112(a,1,2,1))]. 4115 T(x,(y * z) / y) = T(x,T(z,y)). [para(171(a,1),4112(a,1,2,1)),flip(a)]. 4116 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(185(a,1),4112(a,1,2,1))]. 4118 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(2519(a,1),4112(a,1,2,1))]. 4119 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(4112(a,1),3617(a,2,2))]. 4120 T(1 / x,(y * x) / y) = x \ 1. [hyper(262,a,1076,a(flip),b,4115,a),flip(a)]. 4121 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2379(a,2),4115(a,1,2))]. 4122 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(3305(a,1),4115(a,1,2,1)),flip(a)]. 4123 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(62,a,3399,a(flip),b,4098,a)]. 4124 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(2648(a,1),4105(a,1,2,2)),flip(a)]. 4125 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(3956(a,1),4105(a,1,2,2)),flip(a)]. 4126 K(x,K(y,K(z,T(x,u)) * w)) = K(w,K(x,y)). [para(3403(a,1),4106(a,1,2,2,1))]. 4127 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(3399(a,1),4108(a,1,2))]. 4128 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(3212,a,4118,a),flip(a)]. 4129 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(105,a,4119,a(flip),b,2275,a(flip))]. 4130 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(1410(a,1),4119(a,1,1))]. 4131 T(K(x,y),z) * (z * x) = z * T(x,y). [para(3399(a,1),4119(a,1,1))]. 4132 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(3504(a,1),4119(a,1,1))]. 4133 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(4125(a,1),3849(a,1,1))]. 4134 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(62,a,2880,a(flip),b,4128,a)]. 4135 (x * ((y \ z) \ z)) / T(x,y) = T(y,T(y \ z,x)). [para(99(a,1),4129(a,1,1,2))]. 4136 T(x,K(y,z)) * T(y,z) = K(y,z) * (x * y). [hyper(2671,a,4131,a),flip(a)]. 4137 K(x,T(y,z / L(x,u,w))) = K(x,T(y,L(x,u,w) \ z)). [para(100(a,1),3787(a,1,2,2)),flip(a)]. 4138 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(3866,a,3907,a(flip)),flip(a)]. 4139 T(x,K(y,x * z)) = T(x,K(z,y)). [para(3013(a,1),4138(a,1,2)),flip(a)]. 4140 T(x,K(y,z)) * K(y,z \ x) = K(y,z \ x) * x. [para(4138(a,1),3895(a,1,1))]. 4141 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(62,a,3482,a,b,4139,a)]. 4142 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(4139(a,1),23(a,1,1)),flip(a)]. 4143 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(4139(a,1),3896(a,1,1))]. 4144 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(3901,a,4141,a)]. 4145 T(x,K(y,z * x)) = T(x,K(y,z)). [hyper(262,a,3883,a,b,4141,a),flip(a)]. 4146 T(x,K(y,z / x)) = T(x,K(y,z)). [para(12(a,1),4145(a,1,2,2)),flip(a)]. 4147 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(791(a,2),3941(a,1,1))]. 4149 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(262,a,3949,a(flip),b,3955,a),flip(a)]. 4150 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(448(a,1),4149(a,1,2,2)),flip(a)]. 4151 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(3945(a,2),3997(a,1))]. 4152 K(x \ y,T(T(z,x),u)) != w | K(y / x,T(z,u)) = w. [para(23(a,1),4017(a,1,2))]. 4153 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(141(a,1),4017(a,1,2))]. 4154 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(3403(a,2),4017(a,1))]. 4155 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(215(a,1),4020(a,1,2))]. 4156 K(x,y \ T(z * y,u)) != w | K(x,T(y * z,u) / y) = w. [para(386(a,1),4020(a,1,2))]. 4157 K(x,R(T(x,y),z,u) \ w) != v5 | K(x,w / R(T(x,y),z,u)) = v5. [para(3440(a,1),4020(a,1))]. 4158 K(x,T(y \ (x * z),z)) != u | K(x,(x * z) / y) = u. [para(3484(a,1),4025(a,1))]. 4159 K(x,y \ R(T(x,z),u,w)) != v5 | K(x,R(T(x,z),u,w) / y) = v5. [para(3440(a,1),4025(a,1))]. 4160 K(x,T(1 / (y \ z),y)) != u | K(x,y / z) = u. [para(3600(a,2),4025(a,1))]. 4162 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(2873(a,1),4027(a,1,2))]. 4163 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(3112(a,1),4027(a,1,2))]. 4164 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(3119(a,1),4027(a,1,2))]. 4165 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(2965(a,2),4035(a,1))]. 4167 K(x,K(y,z * K(u,w))) != v5 | K(x,K(y,K(w,u) / z)) = v5. [para(2631(a,1),4072(a,1,2))]. 4168 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(3830(a,1),4073(a,1))]. 4170 T(K(x,y),T(x,z) * T(y,u)) = K(x,y). [hyper(262,a,2324,a(flip),b,3778,a),flip(a)]. 4171 (T(x,y) * T(z,u)) * K(x,z) = K(x,z) * (T(x,y) * T(z,u)). [para(4170(a,1),98(a,1,2))]. 4172 T(x,y * z) * K(z,z * y) = K(z,z * y) * T(x,z * y). [para(170(a,1),3786(a,1,1,2))]. 4173 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(262,a,1265,a(flip),b,3789,a),flip(a)]. 4174 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(62,a,3888,a(flip),b,4173,a)]. 4175 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(4174(a,1),2356(a,1,1)),flip(b)]. 4176 T(x * K(y,z),y) = (y \ x) * T(y,z). [para(214(a,1),3792(a,1,1)),flip(a)]. 4177 T((x / y) * K(y,z),y) != u * K(y,z) | y \ x = u. [para(3794(a,2),43(a,1))]. 4178 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(2426(a,2),3844(a,1,2))]. 4179 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(3853(a,1),3732(a,1,2))]. 4180 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(4051(a,1),3863(a,1,1))]. 4181 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(3878(a,1),4045(a,1,2))]. 4182 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(62,a,3589,a(flip),b,3932,a)]. 4183 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [para(640(a,1),3932(a,1,1,1)),flip(a)]. 4185 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1587(a,1),3942(a,1,2))]. 4186 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(2200(a,1),3951(a,1,1)),flip(a)]. 4187 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(4092(a,1),3953(a,1,1))]. 4188 K(x \ (y \ z),y) * z = z * K((y \ z) / x,y). [para(3967(a,1),3398(a,1,2)),flip(a)]. 4189 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(262,a,2912,a(flip),b,3973,a),flip(a)]. 4190 K(x,T(y,z)) * (z / y) = z / T(y,x). [hyper(3571,a,4189,a)]. 4191 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(2994(a,1),4189(a,1,1))]. 4192 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(4017,a,3982,a)]. 4193 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1702(a,1),3987(a,1,1)),flip(a)]. 4194 K(x,K(y,T(z,u / x))) != w | K(x,K(z,T(y,u))) = w. [para(4077(a,2),4056(a,1))]. 4195 K(x,K(y \ z,T(y,u))) = K(y,K(x,T(z,u))). [hyper(262,a,3877,a,b,4109,a),flip(a)]. 4196 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(262,a,2064,a,b,4111,a),flip(a)]. 4197 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(100(a,1),4196(a,1,2,2,1))]. 4198 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(3045(a,1),4121(a,1,2,1))]. 4199 K(x,K(y,z)) * (K(u,T(y,w)) * x) = T(K(u,T(y,w)) * x,K(y,z)). [para(4126(a,1),3849(a,1,1))]. 4200 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [para(2989(a,1),4136(a,1,1)),flip(a)]. 4201 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(262,a,3783,a(flip),b,4142,a),flip(a)]. 4202 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(104,a,4201,a(flip),b,2399,a)]. 4203 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(62,a,892,a,b,4143,a)]. 4204 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(2781(a,1),4178(a,1,1,2))]. 4205 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(3801(a,1),4187(a,2,1))]. 4206 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(2468,a,4191,a)]. 4207 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(z,K(x,T(y,u))). [hyper(62,a,3424,a,b,4195,a)]. 4208 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(697(a,1),4197(a,1,2,2))]. 4209 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(4203(a,1),178(a,1,2))]. 4210 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(62,a,3247,a(flip),b,3669,a)]. 4211 K(L(x,K(y,z),u),y) = K(x,y). [hyper(262,a,3660,a(flip),b,4210,a),flip(a)]. 4213 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(253(a,1),4211(a,1,1))]. 4214 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(62,a,3373,a(flip),b,3675,a)]. 4215 K(R(x,K(y,z),u),z) = K(x,z). [hyper(262,a,3672,a(flip),b,4214,a),flip(a)]. 4217 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(31(a,1),4215(a,1,1))]. 4218 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(74(a,1),3710(a,1,1,2,2))]. 4220 K((x \ y) \ (z * y),y) = K((x \ 1) \ z,y). [hyper(3760,a,3771,a),flip(a)]. 4221 T(x,(y \ x) \ (z * x)) = 1 / (x \ K((y \ 1) \ z,x)). [para(4220(a,1),2187(a,2,2,2))]. 4222 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(3761,a,xx),flip(a)]. 4223 K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. [para(3335(a,1),3761(a,1))]. 4224 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(3857(a,2),3821(a,1,2))]. 4225 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(4045(a,1),3821(a,1))]. 4226 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(4047(a,1),3821(a,1))]. 4227 K(x,y / z) != u | T(K(x,z \ y),z) = u. [para(3934(a,1),4225(a,1))]. 4230 K(x,K(T(y,K(x,z)),u)) != w | K(x,K(y,u)) = w. [para(3818(a,1),4075(a,1,2,1))]. 4231 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(9(a,1),4160(a,1,2,1,2))]. 4232 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(65(a,1),4223(a,1,1,2,2))]. 4233 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(3649(a,1),2424(a,1,2,2))]. 4234 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(62,a,3265,a(flip),b,3681,a)]. 4236 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(3963(a,1),3809(a,1,1))]. 4237 L(K(x,K(y,z)),u,w) = K(x,K(y,L(z,u,w))). [para(3813(a,1),3880(a,1,1))]. 4238 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [para(3859(a,1),3880(a,1,1))]. 4239 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [hyper(62,a,4237,a(flip),b,4238,a),flip(a)]. 4240 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(4238(a,1),88(a,1,2))]. 4241 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(262,a,3830,a,b,4239,a)]. 4242 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(253(a,1),4239(a,2,2,2))]. 4243 K(x,K(y,L(z,u,w))) != v5 | K(z,K(y,L(x,u,w))) = v5. [para(4239(a,1),4056(a,1))]. 4244 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4239(a,2),4056(a,1))]. 4245 K(x,K(x / y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [hyper(262,a,4013,a,b,4241,a)]. 4246 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(3243(a,1),3903(a,2,2))]. 4247 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [hyper(151,a,3913,a)]. 4248 (x * L(K(y,z),u,w)) / x = L(K(y,T(z,x)),u,w). [para(3399(a,2),3913(a,2,1))]. 4249 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(3732(a,1),3925(a,1,1,1,2))]. 4250 T(K(T(x,y \ 1),(1 / y) \ 1),z) = K(x,K(1 / y,z) / (1 / y)). [hyper(62,a,3927,a,b,3946,a)]. 4251 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(4005(a,1),2097(a,2,2))]. 4253 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(62,a,2504,a,b,4007,a)]. 4254 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(2819,a,4012,a)]. 4255 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(62,a,2296,a(flip),b,4022,a),flip(a)]. 4256 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(262,a,3819,a(flip),b,4049,a),flip(a)]. 4258 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(262,a,3820,a(flip),b,4050,a),flip(a)]. 4259 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(2341(a,1),4258(a,1,2))]. 4260 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(877(a,1),4078(a,1,2,2,2))]. 4262 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,3521,a(flip),b,4110,a)]. 4263 (T(x,T(x \ y,z)) * z) \ (z * ((x \ y) \ y)) = K(z,x). [para(4135(a,1),2927(a,1,1,1))]. 4264 T(x,K(y,z)) * K(y,z \ x) = x * K(y,x / z). [hyper(262,a,3969,a(flip),b,4140,a),flip(a)]. 4265 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(4030,a,4182,a),flip(a)]. 4267 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(4265(a,1),2185(a,2,1,1))]. 4268 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(95(a,1),4183(a,1,1)),flip(a)]. 4269 K((x \ y) / z,x) = K(y / (x * z),x). [hyper(33,a,4095,a(flip),b,4188,a(flip)),flip(a)]. 4270 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(262,a,3933,a,b,4192,a)]. 4271 K(T(x * y,y) / x,z) = K(y,z). [hyper(3252,a,4270,a),flip(a)]. 4273 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(10(a,1),4271(a,1,1,1,1))]. 4274 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(4206(a,1),3622(a,1,2)),flip(a)]. 4275 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(62,a,2516,a(flip),b,4208,a)]. 4276 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(262,a,3661,a(flip),b,4213,a),flip(a)]. 4278 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(3093(a,1),4276(a,1,1,1)),flip(a)]. 4279 K((K(x,y) * z) \ u,x) = K(z \ u,x). [para(3398(a,1),4276(a,1,1,1))]. 4280 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(3922(a,1),4276(a,1,1,1,2))]. 4281 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(3268(a,2),4234(a,1,2))]. 4282 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,(z * y) \ u)). [para(253(a,1),4245(a,1,2,2)),flip(a)]. 4283 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(1599,a,4247,a)]. 4284 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(2374,a,4283,a),flip(a)]. 4286 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(88(a,1),4248(a,1,1))]. 4287 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(2152,a,4253,a)]. 4288 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(3299(a,1),4287(a,1,2,1)),flip(a)]. 4289 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(262,a,4256,a(flip),b,4259,a),flip(a)]. 4291 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(2426(a,1),4289(a,1,2))]. 4292 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [hyper(2277,a,4264,a)]. 4293 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y * z)) * K(x,(y * z) \ z). [para(2632(a,2),4292(a,2,2)),flip(a)]. 4294 K(x,K(y,z \ u)) * K((w * y) \ w,(u \ z) \ x) = K((w * y) \ w,x / (u \ z)). [para(3018(a,1),4292(a,1,1,2))]. 4295 K(x,K(y,z)) * K(y,x \ z) = K(y,z / x). [para(3800(a,1),4292(a,1,1))]. 4296 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [para(3830(a,1),4292(a,1,1))]. 4297 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [para(3834(a,2),4292(a,1,1))]. 4298 K(x,K(y,z)) * K(y,z / x) = K(y,x \ z). [hyper(3864,a,4295,a)]. 4299 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [hyper(3864,a,4296,a)]. 4300 K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). [hyper(2988,a,4297,a)]. 4301 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(4297(a,1),2151(a,1,1,1))]. 4302 K(x,K(y,z / (1 / (1 / u)))) * K(y,(z / (1 / (1 / u))) / x) = K(y,1 / (1 / (x \ (z / u)))). [para(1095(a,2),4298(a,2,2))]. 4303 K(x,K(y,z)) * K(y,x \ z) != u | K(y,z / x) = u. [para(4298(a,1),3865(a,1,2))]. 4304 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [hyper(2988,a,4299,a)]. 4305 K(x,K(y,z)) * K(x,z \ y) != u | K(x,y / z) = u. [para(4299(a,1),3865(a,1,2))]. 4306 K(x,L(y,z,1 / z) / (1 / z)) * K(x,K(L(y,z,1 / z),1 / z)) = K(x,z * y). [para(371(a,1),4304(a,2,2))]. 4307 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(262,a,2185,a,b,4267,a),flip(a)]. 4308 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1643(a,1),4281(a,1,2)),flip(a)]. 4309 T(T(x,y) * L(x \ z,u,w),x) = T(x,y) * L(x \ T(z,x),u,w). [para(1722(a,1),4281(a,1,2)),flip(a)]. 4310 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [hyper(4034,a,3411,a(flip)),flip(a)]. 4311 K(x,L(T(T(y,z),z),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(3411(a,2),4034(a,1))]. 4312 T(K(x,L(y,z,u)),w) != v5 | K(x,L(T(y,w),z,u)) = v5. [para(4310(a,1),4034(a,1,1))]. 4313 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4238(a,2),4243(a,1))]. 4314 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(3843(a,1),4244(a,1))]. 4315 K(x,L(T(y,z \ 1),u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. [para(1235(a,1),4311(a,1,2,1,1))]. 4316 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(3830(a,1),4313(a,1,1))]. 4318 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(2959,a,3680,a),flip(a)]. 4319 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(2017(a,1),4318(a,2,1))]. 4320 L(K(x,K(y,z)),u,w) = K(L(K(x,y),u,w),z). [para(2721(a,1),3816(a,1,1)),flip(a)]. 4321 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [hyper(4316,a,4320,a),flip(a)]. 4322 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(4320(a,1),4316(a,1))]. 4323 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [hyper(262,a,3830,a,b,4321,a),flip(a)]. 4324 x * K(L(K(y,z),u,w),x) = T(x,K(z,L(y,u,w))). [para(4321(a,2),3836(a,1,2))]. 4325 T(x,L(K(y,z),u,w)) = T(x,K(z,L(y,u,w))). [hyper(62,a,4284,a(flip),b,4324,a)]. 4326 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(367,a,4325,a),flip(a)]. 4327 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(2714(a,1),3817(a,1,1)),flip(a)]. 4328 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(2714(a,1),3845(a,1,2)),flip(a)]. 4329 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(62,a,4327,a,b,4328,a)]. 4330 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(3830(a,1),4329(a,1,1))]. 4332 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(4330(a,2),2101(a,1,2))]. 4333 K(L(K(x,y),z,u),w) = K(y,L(K(x,w),z,u)). [para(2721(a,1),3846(a,1,2)),flip(a)]. 4334 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [hyper(4322,a,4333,a),flip(a)]. 4335 K(x,L(K(y,z),u,w)) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(4333(a,1),4322(a,1))]. 4336 K(x,L(K(y,z),u,w)) = K(x,K(y,L(z,u,w))). [hyper(262,a,4241,a,b,4334,a),flip(a)]. 4337 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(2923(a,1),4334(a,1,2)),flip(a)]. 4338 K(x,L(K(y,z),u,w)) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(4334(a,2),4244(a,1))]. 4339 K(x,L(K(y,z),u,w)) = K(x,L(K(z,y),u,w)). [hyper(262,a,4334,a,b,4336,a)]. 4340 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [hyper(119,a,3855,a)]. 4341 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(12(a,1),3855(a,1,2,1))]. 4342 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(62,a,4280,a(flip),b,3980,a)]. 4343 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(4017,a,4342,a),flip(a)]. 4345 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(3627(a,1),4343(a,1,1,2)),flip(a)]. 4346 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(2979(a,1),4345(a,1,1,2,1))]. 4347 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(3451(a,1),4345(a,1,1,2,1)),flip(a)]. 4348 K(R(R(x,K(y,z),u),K(y,z) * u,w),z) = K((((x * K(y,z)) * u) * w) / (u * w),z). [para(462(a,1),4346(a,1,1))]. 4349 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(4027,a,3986,a)]. 4350 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(62,a,3653,a(flip),b,4003,a)]. 4351 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(4040,a,4350,a),flip(a)]. 4353 K(x,y / (z * K(x,u))) = K(x,y / z). [para(2214(a,1),4351(a,1,2,2,2))]. 4354 K(x,y / (K(x,z) * u)) = K(x,y / u). [para(3451(a,1),4351(a,1,2,2)),flip(a)]. 4355 K(x,y / (((z \ 1) \ 1) * u)) = K(x,y / (z * u)). [para(1020(a,1),4353(a,1,2,2))]. 4356 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(3627(a,1),4353(a,1,2,2)),flip(a)]. 4357 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(2543(a,1),4354(a,1,2,2)),flip(a)]. 4358 K(x,y / ((x / z) \ u)) = K(x,y / ((z \ x) \ u)). [para(2448(a,1),4354(a,1,2,2)),flip(a)]. 4359 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(255(a,1),4356(a,1,2,2,1))]. 4360 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(2979(a,1),4356(a,1,2,2,1))]. 4361 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(3451(a,1),4356(a,1,2,2,1)),flip(a)]. 4362 K(x,R(R(y,K(z,x),u),K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). [para(462(a,1),4360(a,1,2))]. 4363 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(2834(a,1),4361(a,1,2,2,1)),flip(a)]. 4364 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(2075(a,1),4004(a,1,1,1,2))]. 4365 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(3804,a,4044,a),flip(a)]. 4366 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(9(a,1),4365(a,1,2,2)),flip(a)]. 4367 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3922(a,1),4093(a,1,1)),flip(a)]. 4368 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(4367(a,1),1905(a,1,2,2)),flip(a)]. 4370 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(3852,a,4133,a),flip(a)]. 4371 K(x,y) * T(K(x,y) \ z,K(x,u)) = T(z,K(x,u)). [hyper(34,a,2814,a,b,4370,a(flip))]. 4372 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(34,a,2836,a(flip),b,4370,a(flip)),flip(a)]. 4373 T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). [para(2721(a,1),4370(a,2,2))]. 4374 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [hyper(716,a,4371,a),flip(a)]. 4375 T(K(x,y) * z,K(y,u)) = K(x,y) * T(z,K(y,u)). [para(4371(a,1),2846(a,1,2)),flip(a)]. 4376 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(3837(a,1),4372(a,1,1)),flip(a)]. 4377 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(262,a,4081,a(flip),b,4374,a),flip(a)]. 4378 K(x,y) * (T(z,K(y,x)) * K(y,u)) = (z * K(y,u)) * K(x,y). [para(4374(a,1),3890(a,1,2))]. 4379 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(4377(a,2),42(a,1))]. 4380 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(262,a,4275,a(flip),b,4198,a),flip(a)]. 4381 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(3832(a,1),4205(a,2,2))]. 4382 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(882(a,2),4209(a,1,2))]. 4383 T(x,(y \ x) \ (z * x)) = T(x,(y \ 1) \ z). [hyper(262,a,2187,a,b,4221,a),flip(a)]. 4384 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(691(a,1),4251(a,1,2,1))]. 4385 L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(4274(a,1),448(a,1,1,1))]. 4386 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [hyper(118,a,4364,a)]. 4387 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(4386(a,1),2391(a,1,2))]. 4389 K(x,T(y * (z * K(u,x)),w)) = ((w * x) / w) / ((w * (x * K(y * z,x))) / w). [para(3709(a,1),4387(a,1,2,1,2,2)),flip(a)]. 4390 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(4347(a,1),4387(a,1,2,1,2,2)),flip(a)]. 4391 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(555(a,1),3657(a,1,2))]. 4392 K(x,a(K(x,y),z,u)) = 1. [hyper(62,a,3421,a(flip),b,4391,a),flip(a)]. 4394 T(x,a(K(x,y),z,u)) = x. [hyper(55,a,4392,a)]. 4395 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(53,a,4394,a)]. 4396 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(4394(a,1),98(a,1,2))]. 4397 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(4394(a,1),2979(a,1,2,1)),flip(a)]. 4398 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(4395(a,1),2979(a,1,2,1)),flip(a)]. 4399 K(x,(y * (z * u)) / (y * z)) = K(x,L(T(u,y * z),z,y)). [para(25(a,2),3993(a,2,2))]. 4400 K(x,L(y,z,1 / z) / (1 / z)) = K(x,T(z * y,z)). [hyper(262,a,4002,a(flip),b,3994,a),flip(a)]. 4401 K(x,L(y,z,1 / z) / (1 / z)) = K(x,y * z). [hyper(262,a,1426,a(flip),b,4400,a),flip(a)]. 4402 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(4037,a,4186,a),flip(a)]. 4403 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(z,K(w,u))). [para(3830(a,1),4240(a,2,2,2))]. 4404 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(3983,a,4268,a)]. 4405 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(3398(a,1),4286(a,1,1,2)),flip(a)]. 4406 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(3253,a,4402,a)]. 4407 K(x,T(y,L(x,z,u) \ w)) = K(x,T(y,w)). [para(10(a,1),4406(a,1,2,2)),flip(a)]. 4408 K(x,T(y,z / L(x,u,w))) = K(x,T(y,z)). [hyper(62,a,4137,a,b,4407,a)]. 4410 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [para(149(a,1),4408(a,1,2,2)),flip(a)]. 4411 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(496(a,1),4408(a,1,2,2))]. 4412 K(x,T(y,z * (y * x))) = K(x,T(y,z)). [hyper(262,a,1410,a(flip),b,4410,a),flip(a)]. 4413 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(62,a,4097,a(flip),b,4410,a)]. 4414 K(x \ y,T(x,z * y)) = K(x \ y,T(x,z)). [para(10(a,1),4412(a,1,2,2,2))]. 4415 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(10(a,1),4413(a,1,2,2,2)),flip(a)]. 4416 K(x \ y,T(x,z * K(y,z))) = K(x \ y,T(x,y * z)). [para(2120(a,1),4414(a,1,2,2)),flip(a)]. 4417 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(4415(a,1),4020(a,1))]. 4418 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(62,a,3770,a(flip),b,4416,a),flip(a)]. 4419 K(x \ (y / z),T(x,z)) = K(x \ (y / z),T(x,y)). [para(12(a,1),4418(a,1,2,2)),flip(a)]. 4420 x * (y * K(z,K(u,x * y))) != w | T(x * y,K(z,L(u,y,x))) = w. [para(4403(a,1),3838(a,1))]. 4421 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(262,a,3478,a(flip),b,4404,a)]. 4422 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(77(a,1),4421(a,1,1,1)),flip(a)]. 4423 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(11(a,1),4422(a,1,1,2)),flip(a)]. 4425 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(3664(a,1),4423(a,1,1))]. 4426 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(3706,a,3684,a)]. 4427 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(62,a,3142,a(flip),b,3735,a)]. 4428 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(2395(a,1),3739(a,1,2))]. 4429 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(2395(a,1),4428(a,2,2))]. 4430 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(4429(a,1),399(a,1,2)),flip(a)]. 4431 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(699(a,1),4430(a,1,2,1))]. 4432 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(699(a,1),4431(a,2,2,2))]. 4433 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(4432(a,1),840(a,1,1))]. 4434 T(T(x,K(y,z / y)),(y \ z) \ 1) = T(x,(z / y) \ 1). [para(2496(a,1),3961(a,1,1,2))]. 4435 T(T(x,K(y,z)),(y \ z) \ 1) = T(x,(z / y) \ 1). [para(2131(a,1),4434(a,1,1,2))]. 4436 T(T(x,K(y,z)),(z \ y) \ 1) = T(x,(y / z) \ 1). [para(3883(a,1),4435(a,1,1))]. 4437 T(T(x,K(y,z)),y \ z) = T(x,(y / z) \ 1). [hyper(3113,a,4436,a)]. 4438 T(T(x,K(y,z)),y \ z) = T(x,z / y). [hyper(262,a,2873,a(flip),b,4437,a),flip(a)]. 4439 T(T(x,K(y,z)),y / z) = T(x,z \ y). [para(2335(a,1),4438(a,1,1)),flip(a)]. 4440 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(3891,a,4439,a)]. 4441 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(3929(a,1),3979(a,1,1)),flip(a)]. 4442 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(4441(a,1),573(a,1))]. 4443 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(4442,a,2770,a),flip(a)]. 4444 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(2367(a,1),4443(a,1,2))]. 4445 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(2619(a,1),4444(a,2,2))]. 4446 T(K(x,y) * T(z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(201(a,2),4086(a,1,1,2))]. 4447 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). [para(4087(a,1),3617(a,1,2)),flip(a)]. 4448 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(62,a,3968,a(flip),b,4096,a),flip(a)]. 4449 K(x,y) * (z * T(z \ (K(x,y) \ u),x)) = z * T(z \ u,x). [hyper(262,a,378,a(flip),b,4103,a),flip(a)]. 4450 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [hyper(2937,a,4171,a),flip(a)]. 4451 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(2275(a,2),4450(a,1,2))]. 4452 K(x,x * y) * T(z,x * y) = T(z,y * x) * K(x,y). [para(2133(a,1),4172(a,1,2)),flip(a)]. 4453 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(62,a,4451,a(flip),b,4236,a),flip(a)]. 4454 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(262,a,3871,a(flip),b,4246,a),flip(a)]. 4455 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(77(a,1),4454(a,1,2,2,1,2))]. 4456 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(3715,a,4455,a)]. 4457 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(4224,a,4260,a),flip(a)]. 4458 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,3791,a(flip),b,4457,a),flip(a)]. 4459 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(2017(a,1),4319(a,1,1,1))]. 4460 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(33,a,2848,a(flip),b,4459,a(flip)),flip(a)]. 4461 K(x,x * y) * T(z,x * y) = T(K(x,y) * z,x * y). [para(2133(a,2),4459(a,2,1)),flip(a)]. 4462 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(4460(a,2),409(a,2,2))]. 4463 T(K(x,y) * z,x * y) = T(z,y * x) * K(x,y). [hyper(62,a,4452,a(flip),b,4461,a),flip(a)]. 4464 T(T(K(x,y) * z,x * y),K(x,y)) = K(x,y) * T(z,y * x). [para(4463(a,2),3886(a,1,1))]. 4465 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(3595(a,1),4384(a,2,2))]. 4466 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(262,a,4251,a,b,4465,a)]. 4467 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(262,a,2313,a(flip),b,4426,a),flip(a)]. 4468 L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). [para(4427(a,1),403(a,1,2))]. 4469 K(x,y) * (z * T(z \ u,x)) = z * T(z \ (K(x,y) * u),x). [para(9(a,1),4449(a,1,2,2,1,2))]. 4470 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(62,a,4366,a(flip),b,4458,a)]. 4471 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(3543,a,4470,a)]. 4472 T(x * K(y,z),y * z) = K(y,z) * T(x,z * y). [hyper(62,a,202,a(flip),b,4464,a)]. 4473 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(62,a,3634,a(flip),b,4467,a),flip(a)]. 4474 K(x * (((y * z) \ y) \ 1),z) = K(((y * z) \ y) \ x,z). [hyper(262,a,3976,a(flip),b,4473,a),flip(a)]. 4475 ((1 / x) * y) * T(((1 / x) * y) \ (K(z,u) * y),z) = K(z,u) * (K(x,z) * y). [para(2371(a,1),4469(a,1,2)),flip(a)]. 4476 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(262,a,2602,a(flip),b,3679,a),flip(a)]. 4477 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(2212(a,1),4476(a,1,2,2))]. 4478 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(3399(a,2),3970(a,1,1))]. 4479 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [hyper(3893,a,4326,a)]. 4480 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(262,a,2813,a,b,4405,a),flip(a)]. 4481 L(K(x,T(T(y,z * u),u)),u,z) = K((z * u) / (z * (x \ u)),y). [para(23(a,1),4480(a,1,1,2))]. 4482 x / (T(y,z) \ ((y \ 1) \ 1)) = (1 / (1 / x)) / K(z,y). [para(2058(a,2),3636(a,1,2)),flip(a)]. 4483 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(262,a,2111,a(flip),b,4482,a),flip(a)]. 4484 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(1220(a,1),4483(a,1,2))]. 4485 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [hyper(151,a,4484,a)]. 4486 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(62,a,3217,a(flip),b,3637,a),flip(a)]. 4488 T(x,(y \ z) * (z \ y)) = x. [hyper(53,a,4486,a)]. 4491 T(x,y * ((z * y) \ z)) = x. [para(9(a,1),4488(a,1,2,1))]. 4492 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(4177,a,4491,a),flip(a)]. 4493 K(x,y * ((z * y) \ z)) = 1. [hyper(54,a,4491,a)]. 4494 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(53,a,4491,a)]. 4496 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(167(a,2),4494(a,1,1,2))]. 4497 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(3734(a,1),3741(a,1,2,2)),flip(a)]. 4498 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(262,a,2298,a(flip),b,4497,a),flip(a)]. 4500 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(62,a,2790,a(flip),b,4498,a),flip(a)]. 4501 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(3876(a,1),3856(a,1,1))]. 4502 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(4501(a,1),96(a,1,1,1)),flip(a)]. 4503 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(4501(a,1),2398(a,1,2))]. 4504 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(62,a,4116,a(flip),b,4122,a)]. 4505 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(262,a,2870,a(flip),b,4504,a),flip(a)]. 4507 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(262,a,1271,a(flip),b,4505,a),flip(a)]. 4508 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(170(a,1),4180(a,2,1))]. 4509 (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(4199(a,2),2195(a,2,1))]. 4510 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(4233(a,1),2474(a,1))]. 4511 K(x,K(1 / y,z) / (1 / y)) = T(K(T(x,y \ 1),y),z). [para(77(a,1),4250(a,1,1,2)),flip(a)]. 4512 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [para(2977(a,1),4511(a,2,1))]. 4513 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(2380(a,1),4512(a,1,2))]. 4514 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(62,a,2631,a(flip),b,4513,a)]. 4515 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(230(a,2),4514(a,1,2,2,1))]. 4516 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(262,a,1776,a(flip),b,4308,a),flip(a)]. 4517 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(262,a,1837,a(flip),b,4309,a),flip(a)]. 4518 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(9(a,1),4517(a,1,1,2,1)),flip(a)]. 4519 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(3834(a,1),4381(a,1,1,1))]. 4520 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(4376(a,1),4519(a,1,1))]. 4521 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(3834(a,1),4520(a,2,1))]. 4522 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(3830(a,1),4521(a,2,2))]. 4523 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(2201(a,1),928(a,1,1,1))]. 4524 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(2202(a,1),868(a,2,1)),flip(a)]. 4525 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(2375,a,4524,a)]. 4526 (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(3382(a,1),2276(a,1,1,2))]. 4527 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(766(a,2),2301(a,1,2,2,1))]. 4528 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(62,a,2009,a(flip),b,2567,a)]. 4529 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(98(a,2),2592(a,2,1,1,1))]. 4530 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(2760,a,2607,a),flip(a)]. 4531 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(262,a,2966,a(flip),b,4530,a),flip(a)]. 4532 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(3069,a,4531,a)]. 4533 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(4532(a,1),2324(a,1,2)),flip(a)]. 4535 K(x,T(y,z) \ T(x,z)) != u | K(x,T(y \ x,z)) = u. [para(4533(a,2),3445(a,1))]. 4536 L(((x / y) / x) \ 1,(x / y) / x,x) = x / (y \ T(x,y \ 1)). [para(1290(a,1),2894(a,2,2))]. 4537 x / (y \ T(x,y \ 1)) = (T(x,y \ 1) / y) \ x. [hyper(62,a,1299,a(flip),b,4536,a),flip(a)]. 4538 (T(x,(y \ 1) \ 1) / (y \ 1)) \ x = x / ((y \ 1) \ T(x,y)). [para(231(a,1),4537(a,1,2,2,2)),flip(a)]. 4539 x / ((y \ 1) \ T(x,y)) = (T(x,y) / (y \ 1)) \ x. [para(231(a,1),4538(a,1,1,1,2)),flip(a)]. 4540 ((T(x,y) / (y \ 1)) \ x) \ x = (y \ 1) \ T(x,y). [hyper(151,a,4539,a)]. 4541 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ T(y / x,x). [para(100(a,1),4540(a,1,1,1,1))]. 4542 (((x \ y) / (x \ 1)) \ (y / x)) \ (y / x) = (x \ 1) \ (x \ y). [para(100(a,1),4541(a,2,2))]. 4543 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(3086(a,1),2906(a,1,2))]. 4544 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(3257(a,1),2906(a,1,2))]. 4545 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(4543(a,1),618(a,1))]. 4546 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(618,a,4544,a),flip(a)]. 4549 a(x,y,T(x,z)) != u | a(w,v5,w) = u. [para(4546(a,1),438(a,1))]. 4550 (x * K(y,z)) * T(y,u) = x * (K(y,u) * T(y,z)). [para(3496(a,1),3205(a,1,1)),flip(a)]. 4551 (x * K(y,z)) / (z \ 1) = x / (z \ K(z,y)). [hyper(3518,a,3281,a),flip(a)]. 4553 T(x,y) / (y \ 1) = x / (y \ K(y,x)). [para(2097(a,2),4551(a,1,1))]. 4554 (T(x,y) / (y \ 1)) \ x = y \ K(y,x). [hyper(151,a,4553,a(flip))]. 4555 (T(x / y,y) / (y \ 1)) \ (x / y) = y \ K(y,y \ x). [para(2038(a,1),4554(a,2,2))]. 4556 ((x \ y) / (x \ 1)) \ (y / x) = x \ K(x,x \ y). [para(100(a,1),4555(a,1,1,1))]. 4557 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [para(4556(a,1),4542(a,1,1))]. 4560 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(1405(a,2),3978(a,1,1))]. 4561 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(262,a,4045,a,b,3992,a)]. 4562 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(1766(a,1),4527(a,1,2))]. 4563 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(104,a,2238,a(flip),b,4562,a),flip(a)]. 4565 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(2452(a,1),4528(a,1,2)),flip(a)]. 4566 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(262,a,192,a(flip),b,4565,a),flip(a)]. 4568 L(x,T(y,z) \ 1,y) = L(x,y \ 1,y). [para(2505(a,1),4566(a,1,2))]. 4569 L(x,T(y,z) \ 1,y) = T(y,u) * ((T(y,u) \ 1) * x). [hyper(262,a,2748,a,b,4568,a),flip(a)]. 4570 L(x,T(y,z) \ 1,T(y,z)) = L(x,T(y,u) \ 1,y). [hyper(262,a,192,a(flip),b,4569,a)]. 4571 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(2416(a,1),4560(a,2,2))]. 4572 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(4560(a,1),3882(a,2,2))]. 4573 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(104,a,2115,a(flip),b,2451,a),flip(a)]. 4574 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(4115(a,1),2538(a,2,1,2))]. 4576 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(2714(a,1),2758(a,1,1,2))]. 4578 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(77(a,1),2832(a,1,1,1,1,2)),flip(a)]. 4579 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(2966(a,1),4578(a,1,2))]. 4580 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(230(a,1),4579(a,1,2,1,2))]. 4581 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(2905(a,1),2935(a,1,2)),flip(a)]. 4582 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(4581(a,2),470(a,1))]. 4583 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(4582,a,4107,a)]. 4584 R(x,y,T(z,y)) = R(x,y,z). [hyper(4582,a,3088,a)]. 4585 R(x,y * K(z,y),z) = R(x,y,z). [hyper(62,a,3356,a,b,4584,a)]. 4586 R(x,y / z,z) = R(x,z \ y,z). [hyper(62,a,3357,a(flip),b,4584,a)]. 4587 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(3399(a,2),4584(a,1,3))]. 4588 R(x,T(y,z),z) = R(x,y,z). [para(2113(a,1),4585(a,1,2)),flip(a)]. 4589 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(4291(a,1),4588(a,1,2))]. 4590 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(4583(a,2),2417(a,1,1))]. 4591 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(3399(a,2),4589(a,1,2))]. 4592 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(3936(a,1),3198(a,1,1,2))]. 4593 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(1336(a,1),3209(a,1,3))]. 4594 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(230(a,1),3222(a,2,2,1,1,1,1))]. 4595 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(98(a,1),3308(a,1,1,2,2))]. 4596 (x * (y * T(a(z,u,z) * (a(w,v5,w) \ (y \ (x \ v6))),v7))) \ v6 = K(v7,(x * (y * a(w,v5,w))) \ v6). [para(2854(a,2),3308(a,1,1,2,2))]. 4597 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(1401(a,2),4595(a,1,1))]. 4598 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(2128(a,1),3327(a,1,1,2))]. 4599 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(2195(a,1),4598(a,1,2,2))]. 4600 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(3381,a,3390,a)]. 4601 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(3923(a,1),4600(a,1,3))]. 4602 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(62,a,3331,a(flip),b,4601,a)]. 4604 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(4602(a,1),1839(a,1,1,2))]. 4605 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(62,a,4496,a(flip),b,4604,a),flip(a)]. 4608 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(4605(a,1),1751(a,1,1))]. 4609 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(3965(a,1),3423(a,1,2,1,2))]. 4610 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(62,a,2559,a(flip),b,3587,a),flip(a)]. 4611 T(T(K(x,y) * z,K(y,u)),K(y,u)) = K(y,u) * (K(x,y) * (K(y,u) \ z)). [para(4375(a,2),4446(a,1,1))]. 4612 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(9(a,1),4516(a,1,1,2,1))]. 4613 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(9(a,1),4518(a,1,1,2,1)),flip(a)]. 4614 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(262,a,4580,a(flip),b,4594,a),flip(a)]. 4615 K(x,y) * (K(z,x) * (K(x,y) \ u)) = K(z,x) * u. [hyper(62,a,3887,a(flip),b,4611,a),flip(a)]. 4617 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(9(a,1),4615(a,1,2,2))]. 4618 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(2389(a,1),4615(a,1,2,2))]. 4619 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(262,a,2446,a,b,4617,a)]. 4620 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [para(2383(a,1),4617(a,1,2)),flip(a)]. 4621 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(2397,a,4618,a)]. 4622 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [hyper(2397,a,4620,a)]. 4623 (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). [para(4621(a,1),1756(a,1,1,1,1))]. 4624 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(3811,a,4622,a),flip(a)]. 4625 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(3834(a,2),4622(a,1,1))]. 4626 K(x,y) * (K(x,K(y,z)) * u) != w | K(x,T(y,z)) * u = w. [para(4622(a,1),3811(a,1))]. 4627 T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). [para(4624(a,1),386(a,1,1,2,1))]. 4628 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(2077(a,1),4619(a,1,2))]. 4630 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(3834(a,2),4625(a,2,2,1))]. 4631 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(267,a,4630,a),flip(a)]. 4632 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(3834(a,2),4631(a,1,2,1))]. 4633 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(262,a,2127,a(flip),b,2207,a),flip(a)]. 4634 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(4633(a,1),266(a,1,2))]. 4635 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(2708,a,1400,a),flip(a)]. 4636 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(3084(a,1),4635(a,1,1))]. 4637 K(x * K(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. [para(2499(a,1),3549(a,1,1,2))]. 4638 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(62,a,3527,a(flip),b,3729,a)]. 4640 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(62,a,2790,a(flip),b,4638,a),flip(a)]. 4641 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(889(a,1),4640(a,1,2,2))]. 4642 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(262,a,2600,a(flip),b,3752,a),flip(a)]. 4643 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(262,a,130,a(flip),b,4502,a),flip(a)]. 4644 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(262,a,2093,a,b,4643,a),flip(a)]. 4646 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(262,a,3830,a,b,4644,a),flip(a)]. 4647 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). [para(9(a,1),4523(a,2,1,1))]. 4648 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(262,a,4130,a,b,4529,a)]. 4649 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(3889(a,1),4590(a,1,1,3))]. 4650 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(2389(a,1),4649(a,2,2))]. 4651 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(2303(a,1),2129(a,2,1))]. 4652 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(2076(a,1),4651(a,1,1,1))]. 4653 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [hyper(151,a,4652,a)]. 4654 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),u,x) = R(x,y,x) * K(z,R(x,y,x)). [para(481(a,1),4653(a,1,1,2))]. 4655 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(2514(a,1),2339(a,1,2,1))]. 4656 K(x,T(y,z)) * R(T(K(y,x),z),u,w) = T(K(x,y) * R(K(y,x),u,w),z). [hyper(3571,a,4655,a)]. 4657 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(3399(a,2),4656(a,1,2,1))]. 4658 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(180(a,1),2462(a,1,2)),flip(a)]. 4659 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(2325(a,1),4658(a,1,1,2,1))]. 4660 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(179(a,1),2463(a,1,2)),flip(a)]. 4661 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(2325(a,1),4660(a,1,1,2,1))]. 4662 K(1 / x,x) \ (R(1 / y,y,K(1 / x,x)) * ((z * (1 / (1 / y))) / z)) = K(z,1 / (K(1 / x,x) \ R(1 / y,y,K(1 / x,x)))). [para(968(a,1),2744(a,1,2,2,1,2))]. 4663 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(4273(a,1),3566(a,1,1)),flip(a)]. 4664 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(262,a,3488,a(flip),b,4663,a),flip(a)]. 4665 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(903(a,1),4664(a,1,1)),flip(a)]. 4666 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(106,a,3581,a),flip(a)]. 4667 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(594(a,1),4666(a,1,1)),flip(a)]. 4668 (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(2811,a,4667,a)]. 4669 K(x,y) * (R(T(y,z),u,w) * (K(y,x) * v5)) = R(T(y,z),u,w) * v5. [para(3922(a,1),3954(a,1,2,2,1))]. 4671 K(x * L(x \ y,z,z \ 1),u) = K(y * a((y \ x) \ 1,z,z \ 1),u). [hyper(4041,a,3988,a)]. 4672 K((x \ y) * L(T(x,y),z,z \ 1),u) = K(y * a((y \ (x \ y)) \ 1,z,z \ 1),u). [para(634(a,2),4671(a,1,1,2,1))]. 4673 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(262,a,4287,a(flip),b,4288,a),flip(a)]. 4674 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(74(a,1),4673(a,1,1,2,1,2,1))]. 4675 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(62,a,3683,a(flip),b,4674,a)]. 4676 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(4151,a,4675,a)]. 4677 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(854(a,1),4349(a,1,1))]. 4678 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(3551,a,4677,a),flip(a)]. 4680 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(2721(a,1),4373(a,1,1,2))]. 4681 T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). [hyper(596,a,4680,a),flip(a)]. 4682 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(262,a,4387,a(flip),b,4389,a),flip(a)]. 4683 K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). [hyper(262,a,3399,a(flip),b,4682,a),flip(a)]. 4684 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(2326(a,1),4682(a,1,2,1)),flip(a)]. 4685 K(x,T(T(K(y,x) * z,u),w)) = K(x,T(T(z,u),w)). [para(3354(a,1),4684(a,1,2,1)),flip(a)]. 4686 K(x,y * (z * K(u,x))) = K(x,y * z). [hyper(3412,a,4683,a(flip))]. 4687 K(x,y * (z * K(x,u))) = K(x,y * z). [para(2214(a,1),4686(a,1,2,2,2))]. 4688 K(x,y * (T(z,x) \ u)) = K(x,y * (z \ u)). [para(3467(a,1),4687(a,1,2,2))]. 4689 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(888(a,1),4688(a,1,2,2))]. 4690 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(x * z,u),w)). [para(2393(a,1),4685(a,1,2,1,1)),flip(a)]. 4691 ((1 / x) * T((1 / x) \ K(y,z),y)) * u = K(y,z) * (K(x,y) * u). [hyper(62,a,1540,a(flip),b,4475,a)]. 4692 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(62,a,1148,a(flip),b,4573,a)]. 4693 R(T(x,K(y,z)),u,x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). [para(3892(a,1),2540(a,1,2))]. 4694 R(T(x,K(y,z)),u,x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(262,a,4123,a(flip),b,4693,a),flip(a)]. 4696 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(2800(a,1),4694(a,1,1))]. 4697 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(2788,a,2842,a)]. 4698 R(K(x,y),y,z) = K(x,y). [para(327(a,1),4697(a,1,2))]. 4699 K((x * y) / z,x) = K(x / (z / y),x). [hyper(62,a,3392,a(flip),b,4698,a)]. 4700 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(3685(a,1),4698(a,1,1))]. 4701 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(4699(a,2),3287(a,1))]. 4702 K(x \ (y * z),T(y,z)) != u | K((x / z) \ y,y) = u. [para(3964(a,2),4701(a,1))]. 4703 (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(3403(a,1),3972(a,2,1,2))]. 4704 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(4591(a,1),4703(a,2,1))]. 4705 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(262,a,4650,a(flip),b,4704,a),flip(a)]. 4706 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(3403(a,1),4705(a,1,1,2))]. 4707 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(3923(a,1),4706(a,1,2))]. 4708 (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(4397(a,2),4707(a,1,1))]. 4709 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(775(a,1),1942(a,2,1))]. 4710 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(262,a,582,a,b,2921,a)]. 4711 K(x,T(T(T(x,y) * z,u),w)) != v5 | K(x,T(T(z * T(x,y),u),w)) = v5. [para(3621(a,1),3620(a,1))]. 4712 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [hyper(4711,a,4690,a)]. 4713 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(225(a,1),4204(a,1,1))]. 4715 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(2426(a,1),4713(a,1,2))]. 4716 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,(y * z) \ z). [para(4088(a,1),4293(a,2,1))]. 4717 K(x,((y * z) \ z) * K(y * z,1 / y)) = K(z,K(x,y)) * K(x,z / (z * y)). [para(4000(a,2),4716(a,2,2))]. 4718 K(x,y \ (y / z)) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(62,a,3127,a,b,4717,a)]. 4719 K(x,1 / (1 / (y \ (y / z)))) = K(u,K(x,z)) * K(x,u / (u * z)). [hyper(1448,a,4718,a)]. 4722 K(x,y * z) * K(x,K(L(y,z,1 / z),1 / z)) = K(x,z * y). [para(4401(a,1),4306(a,1,1))]. 4723 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(62,a,4217,a(flip),b,4348,a),flip(a)]. 4725 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(20(a,2),4723(a,1,1))]. 4726 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(62,a,3568,a,b,4725,a)]. 4727 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(62,a,4425,a,b,4726,a)]. 4728 K(L(x,y,y \ 1) * (x \ z),u) = K(z * a((z \ (x \ z)) \ 1,y,y \ 1),u). [para(639(a,1),4672(a,1,1))]. 4729 K(x * a((x \ (y \ x)) \ 1,z,z \ 1),u) = 1 * K(L(y,z,z \ 1) * (y \ x),u). [hyper(160,a,4728,a),flip(a)]. 4730 K(L(x,y,y \ 1) * (x \ z),u \ K(z * a((z \ (x \ z)) \ 1,y,y \ 1),w)) = K(u,L(x,y,y \ 1) * (x \ z)). [para(4728(a,1),3656(a,1,2,2))]. 4731 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(77(a,1),4709(a,1,1,2)),flip(a)]. 4732 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3321(a,1),4710(a,1,1)),flip(a)]. 4733 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(4732(a,1),2955(a,1,1)),flip(a)]. 4734 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(262,a,2046,a(flip),b,4733,a),flip(a)]. 4735 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(62,a,3984,a(flip),b,4734,a)]. 4736 K(x * a((x \ (y \ x)) \ 1,z,z \ 1),u) != w | K(L(y,z,z \ 1) * (y \ x),u) = w. [para(4729(a,2),106(a,1))]. 4737 K(x * a((x \ (y \ x)) \ 1,z,z \ 1),u) = a(w,v5,K(v5,v6)) * K(L(y,z,z \ 1) * (y \ x),u). [para(2939(a,2),4729(a,2,1))]. 4738 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(834,a,2440,a),flip(a)]. 4740 K(x,1 / x) * (y / z) = y / (1 / (1 / z)). [para(968(a,1),4738(a,1,2)),flip(a)]. 4742 L(x,T(y,z) \ 1,y) = L(x,1 / T(y,y \ u),(y \ u) \ u). [hyper(2682,a,4570,a),flip(a)]. 4743 L(x,T(y,z) \ 1,y) = L(x,((y \ u) \ u) \ 1,(y \ u) \ u). [hyper(262,a,2681,a,b,4742,a),flip(a)]. 4744 L(x,((y \ z) \ z) \ 1,(y \ z) \ z) = L(x,y \ 1,y). [hyper(62,a,4568,a(flip),b,4743,a),flip(a)]. 4745 K(x,L(y,z \ 1,z) \ z) = K(x,((((z \ x) \ x) \ 1) * y) \ 1). [para(4744(a,1),3746(a,1,2,1))]. 4746 K(x,((((y \ x) \ x) \ 1) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,3032,a(flip),b,4745,a),flip(a)]. 4748 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(2978(a,1),4113(a,1,2,1)),flip(a)]. 4749 (T(T(x,y),T(z,y)) * u) / (K(x,y) * u) = R(T(x,z),K(x,y),u). [para(2978(a,1),4748(a,1,2)),flip(a)]. 4751 (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(4749(a,1),557(a,1,1,1)),flip(a)]. 4753 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(104,a,98,a(flip),b,4462,a)]. 4754 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). [para(3137(a,1),3267(a,2,1))]. 4755 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3221(a,1),3537(a,1,1)),flip(a)]. 4756 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(262,a,2311,a,b,4755,a),flip(a)]. 4757 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(3708,a,4756,a)]. 4758 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(4757(a,1),2116(a,2,2))]. 4759 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(64(a,1),4193(a,2,1,2,2,1,2))]. 4760 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(7(a,1),4759(a,2,1,2))]. 4761 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(4760(a,2),4017(a,1))]. 4762 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(262,a,4387,a(flip),b,4390,a),flip(a)]. 4763 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(4119(a,1),4762(a,1,2,1,2,1))]. 4769 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(481(a,1),4654(a,1,2))]. 4770 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(262,a,2601,a(flip),b,4769,a),flip(a)]. 4775 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(459(a,1),4770(a,1,1,1,1,1))]. 4779 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(2707(a,1),4775(a,1,1))]. 4781 (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [hyper(262,a,2426,a(flip),b,4754,a),flip(a)]. 4782 ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(3137(a,1),4781(a,1,1,1))]. 4783 R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). [para(1752(a,2),4782(a,1,1))]. 4784 R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). [para(2140(a,1),4783(a,1,1,1,1,2))]. 4785 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(3694(a,1),4784(a,1,1,1))]. 4786 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(797,a,4785,a),flip(a)]. 4788 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(2142(a,2),4786(a,1,1,2))]. 4789 T(x * 1,x * y) * ((x / L(y \ 1,y,x)) \ z) = x * ((L(y \ 1,y,x) \ x) \ z). [para(451(a,1),2741(a,1,1))]. 4790 T(x,x * y) * ((x / L(y \ 1,y,x)) \ z) = x * ((L(y \ 1,y,x) \ x) \ z). [para(8(a,1),4789(a,1,1,1))]. 4791 T(x,y) * ((x / L(y \ 1,y,x)) \ z) = x * ((L(y \ 1,y,x) \ x) \ z). [para(630(a,1),4790(a,1,1))]. 4792 x * ((L(y \ 1,y,x) \ x) \ z) = T(x,y) * ((x * y) \ z). [para(333(a,1),4791(a,1,2,1)),flip(a)]. 4793 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(680(a,1),4792(a,1,2,1)),flip(a)]. 4794 K(x,y) * (L(z,K(u,y),K(y,x)) * (K(u,y) * K(y,x))) = K(u,y) * T(z,K(y,x) * K(u,y)). [hyper(2400,a,3110,a)]. 4795 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),y \ (y * z)). [para(3029(a,1),3311(a,2,2))]. 4796 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(T(x,z),z). [para(9(a,1),4795(a,2,2,2))]. 4797 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(u,w,u) * K(x,z). [para(2021(a,1),4796(a,2,2))]. 4798 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(262,a,2352,a,b,4797,a),flip(a)]. 4799 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(3169,a,4798,a)]. 4800 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(9(a,1),4799(a,1,2))]. 4801 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(4218,a,4800,a)]. 4802 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(62,a,4474,a(flip),b,4801,a)]. 4804 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(10(a,1),4802(a,2,1))]. 4805 K(x,K(y,z / u)) * K(y,(z / (1 / (1 / u))) / x) = K(y,1 / (1 / (x \ (z / u)))). [para(232(a,1),4302(a,1,1,2,2,2))]. 4806 K(x,K(y,z)) * K(y,(x / (1 / (1 / z))) / x) = K(y,1 / (1 / (x \ (x / z)))). [para(4014(a,1),4805(a,1,1))]. 4807 K(x,(y / (1 / (1 / z))) / y) = K(x,y / (y * z)). [hyper(33,a,4719,a(flip),b,4806,a),flip(a)]. 4808 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(62,a,1422,a(flip),b,4807,a)]. 4810 (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(2077(a,1),4526(a,1,1))]. 4811 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(618,a,4810,a),flip(a)]. 4812 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(4810(a,1),618(a,1))]. 4813 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(2273(a,1),4811(a,1,2)),flip(a)]. 4814 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(74(a,1),4609(a,1,2,1)),flip(a)]. 4816 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(3399(a,2),4814(a,2,2))]. 4817 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(262,a,3446,a(flip),b,4816,a),flip(a)]. 4818 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(62,a,4127,a(flip),b,4817,a),flip(a)]. 4820 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(4818(a,2),4168(a,1))]. 4821 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,T(y,z)) * u,w) * K(y,x). [hyper(4085,a,4627,a),flip(a)]. 4822 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(77(a,1),4731(a,2,2,2,1,1,2))]. 4823 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(77(a,1),4822(a,1,2))]. 4824 L(x,y,y \ 1) \ ((L(x,y,y \ 1) / (y \ 1)) * z) = ((y * x) * (y \ 1)) \ ((y * x) * z). [para(544(a,1),2691(a,2,1))]. 4825 ((x * y) * (x \ 1)) \ ((x * y) * z) = L(y,x,x \ 1) \ ((y * x) * z). [para(1302(a,1),4824(a,1,2,1)),flip(a)]. 4826 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = (x * (y / x)) \ (K(x,x \ y) * T(y,z)). [para(2078(a,1),3224(a,2,2))]. 4827 L(K((x \ 1) \ (x \ y),z),x \ y,T(x,x \ y)) = K(y,z). [hyper(262,a,2961,a(flip),b,4826,a),flip(a)]. 4828 L(K((x \ 1) \ (x \ y),z),y / x,x) = K(y,z). [hyper(2705,a,4827,a)]. 4830 K(x,(y * (z * a(u,w,u))) \ v5) = (y * (z * T(z \ (y \ v5),x))) \ v5. [para(10(a,1),4596(a,1,1,2,2,1)),flip(a)]. 4832 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [hyper(262,a,3098,a(flip),b,4830,a),flip(a)]. 4833 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(2359(a,2),4832(a,1,2,1,2))]. 4834 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(11(a,1),4623(a,1,1,1)),flip(a)]. 4840 L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = K(u,u * x) * T(u * L(x,y,z),u). [para(2236(a,1),2830(a,1,1)),flip(a)]. 4841 L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(K(u,u * x) * (u * L(x,y,z)),u). [hyper(262,a,3799,a,b,4840,a),flip(a)]. 4845 L(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(T(u,u * x) * L(x,y,z),u). [para(2107(a,1),4841(a,2,1))]. 4847 L(x,y,z) * T(R(u,w,u),x * R(u,w,u)) = T(T(u,u * x) * L(x,y,z),u). [para(877(a,2),4845(a,1,2))]. 4848 L(x,y,z) * T(R(u,w,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(459(a,1),4847(a,1,2,2,2))]. 4850 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(872(a,1),4848(a,1,2)),flip(a)]. 4851 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(62,a,4613,a(flip),b,4850,a)]. 4852 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(104,a,4851,a(flip),b,2097,a(flip))]. 4854 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(3206,a,4852,a),flip(a)]. 4859 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = K(u,u * x) * T(u * R(x,y,z),u). [para(2236(a,1),2831(a,1,1)),flip(a)]. 4860 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). [hyper(262,a,3799,a,b,4859,a),flip(a)]. 4864 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(T(u,u * x) * R(x,y,z),u). [para(2107(a,1),4860(a,2,1))]. 4865 R(x,y,z) * T(R(u,w,u),R(u,w,u) * x) = T(u * R(x,y,z),u * x). [hyper(262,a,4612,a(flip),b,4864,a),flip(a)]. 4868 R(x,y,z) * R(T(u,x * R(u,w,u)),w,u) = T(u * R(x,y,z),u * x). [para(878(a,2),4865(a,1,2))]. 4869 R(x,y,z) * R(T(u,x * u),w,u) = T(u * R(x,y,z),u * x). [para(459(a,1),4868(a,1,2,1,2,2))]. 4871 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(873(a,1),4869(a,1,2)),flip(a)]. 4872 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) != w | K(x * y,x * R(y,z,u)) = w. [para(4871(a,1),2114(a,1,2))]. 4873 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(2094(a,1),3160(a,1,2,2,1))]. 4875 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(2829(a,1),4873(a,1,2,2))]. 4876 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(136,a,4875,a)]. 4877 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(64(a,1),4876(a,2,1))]. 4878 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(104,a,4120,a(flip),b,4877,a)]. 4879 (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(2389(a,1),2844(a,1,1,2))]. 4880 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). [para(3801(a,1),4447(a,2,1))]. 4881 ((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(3313(a,1),4879(a,1,1))]. 4882 T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,T(x,w)) * T(z * K(x,y),u). [hyper(262,a,3809,a(flip),b,4880,a),flip(a)]. 4883 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(77(a,1),2890(a,1,1,2))]. 4884 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(25(a,2),4883(a,1,1))]. 4885 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(536(a,1),4884(a,1,1))]. 4886 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(77(a,1),4885(a,1,2,2,2))]. 4887 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(25(a,2),4886(a,1,2,2))]. 4888 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(536(a,1),4887(a,1,2,2))]. 4889 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(9(a,1),4888(a,1,2))]. 4891 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(3841(a,1),4301(a,1,1,2))]. 4892 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). [para(3141(a,1),4468(a,1,1)),flip(a)]. 4893 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = K(x,L(y,u,w)) * (x * K(y,z)). [hyper(262,a,2466,a(flip),b,4892,a),flip(a)]. 4895 T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = T(x,L(y,u,w)) * K(y,z). [hyper(262,a,2107,a(flip),b,4893,a),flip(a)]. 4896 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(3141(a,1),4895(a,1,2))]. 4897 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(62,a,3736,a(flip),b,4896,a)]. 4899 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(4181(a,1),4891(a,1,1)),flip(a)]. 4900 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(3399(a,2),4899(a,2,2))]. 4901 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(262,a,3447,a(flip),b,4900,a),flip(a)]. 4902 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(3843(a,1),4901(a,1,1))]. 4903 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(3091,a,4902,a)]. 4905 (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(3834(a,2),4509(a,1,2,2))]. 4906 (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(4126(a,1),4905(a,1,2,2)),flip(a)]. 4907 K(x,K(y,z)) * (K(u,T(y,w)) * x) = K(u,T(y,w)) * T(x,K(y,z)). [hyper(34,a,3134,a(flip),b,4906,a),flip(a)]. 4909 T(K(x,T(y,z)) * u,K(y,w)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(62,a,4199,a(flip),b,4907,a)]. 4910 T(K(x,T(y,z)) * u,K(w,y)) = K(x,T(y,z)) * T(u,K(y,w)). [hyper(3901,a,4909,a)]. 4911 T(K(x,T(y,z)) * u,K(w,y)) != K(x,T(y,z)) * v5 | T(u,K(y,w)) = v5. [para(4910(a,2),42(a,1))]. 4912 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(94(a,1),1593(a,1,1,1,2,2)),flip(a)]. 4913 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(262,a,771,a(flip),b,4912,a),flip(a)]. 4914 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(262,a,1779,a(flip),b,4913,a),flip(a)]. 4915 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(771(a,1),4914(a,1,1))]. 4916 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(1794(a,1),4915(a,2,1))]. 4917 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(34,a,94,a,b,4916,a),flip(a)]. 4918 R(x * ((y * (x \ 1)) / y),z,u) = K(y,R(x,z,u) \ 1). [hyper(62,a,2090,a(flip),b,4917,a),flip(a)]. 4919 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [para(2090(a,1),4918(a,1,1))]. 4921 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(62,a,2366,a(flip),b,4919,a),flip(a)]. 4922 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(231(a,1),4919(a,1,1,2)),flip(a)]. 4923 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(2623(a,1),4919(a,1,1)),flip(a)]. 4924 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(3010(a,1),4919(a,1,1)),flip(a)]. 4925 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(4919(a,1),4330(a,2,2))]. 4926 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(31(a,1),4921(a,1,2,1))]. 4927 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(4922(a,1),2097(a,2,2))]. 4928 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(4922(a,1),3660(a,1,1,1))]. 4929 K(x,R(K(x,y),z,u) * w) = K(x,w). [para(4922(a,1),3692(a,1,2,1))]. 4930 K((K(x,y) * z) * u,x) = K(z * u,x). [para(94(a,1),4928(a,1,1))]. 4931 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(3373(a,1),4928(a,1,1,1))]. 4932 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(94(a,1),4929(a,1,2))]. 4933 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(3373(a,1),4929(a,1,2,1))]. 4934 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(2393(a,1),4931(a,1,1)),flip(a)]. 4935 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(3932(a,1),4931(a,1,1,1))]. 4936 K(x,T(R(x,y,z),u) \ w) = K(x,R(x,y,z) \ w). [para(2273(a,1),4933(a,1,2)),flip(a)]. 4937 K(x,R(T(x,y),z,u) * w) = K(x,R(x,z,u) * w). [para(2289(a,1),4933(a,1,2))]. 4938 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(3577(a,1),4933(a,1,2))]. 4939 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(3956(a,1),4933(a,1,2)),flip(a)]. 4940 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(2913(a,1),4939(a,1,2))]. 4941 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(4930(a,1),4500(a,1,1,2))]. 4942 K(x,(y / (1 / (1 / z))) * u) = K(x,(y / z) * u). [para(4740(a,1),4932(a,1,2,1))]. 4943 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [hyper(62,a,4018,a(flip),b,4934,a)]. 4944 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(100(a,1),4938(a,1,2,2)),flip(a)]. 4945 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(62,a,3989,a,b,4935,a)]. 4946 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(2638,a,4923,a),flip(a)]. 4947 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(12(a,1),4946(a,2,2,1))]. 4948 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(12(a,1),4946(a,2,2,2))]. 4949 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(74(a,1),4946(a,1,1,2)),flip(a)]. 4950 R(K(x,y / z),y,z \ 1) = K(x,y * (z \ 1)). [para(138(a,1),4946(a,2,2))]. 4951 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(219(a,1),4946(a,1,1,2))]. 4952 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(3376,a,4948,a),flip(a)]. 4953 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(62,a,3583,a(flip),b,4948,a),flip(a)]. 4954 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(2035(a,1),4948(a,1,1))]. 4955 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(262,a,3690,a(flip),b,4952,a),flip(a)]. 4956 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(93(a,2),4949(a,1,2))]. 4957 R(K(x,y),T(y,z),u) = K(x,y). [para(1950(a,1),4949(a,1,2)),flip(a)]. 4958 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(62,a,3375,a(flip),b,4956,a)]. 4959 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(9(a,1),4956(a,1,2,2)),flip(a)]. 4960 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(147(a,1),4956(a,1,2,2)),flip(a)]. 4961 K(x,R(y,z,x)) = K(x,y). [hyper(3376,a,4959,a),flip(a)]. 4962 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(62,a,4700,a(flip),b,4959,a),flip(a)]. 4963 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(62,a,2712,a(flip),b,4959,a)]. 4964 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(62,a,2366,a(flip),b,4959,a),flip(a)]. 4965 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(3922(a,1),4959(a,1,1))]. 4966 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(3971(a,2),4959(a,1,2))]. 4967 K(x,(y / x) / z) = K(x,y / (z * x)). [para(487(a,1),4961(a,1,2)),flip(a)]. 4968 K(x,K(y,R(z,u,x))) = K(x,K(y,z)). [para(4959(a,1),4961(a,1,2))]. 4969 K(x,K(y,T((z * x) / u,u / x))) = K(x,K(y,(u / x) \ z)). [para(733(a,1),4968(a,1,2,2))]. 4970 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(262,a,3685,a(flip),b,4962,a),flip(a)]. 4972 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(31(a,1),4970(a,1,2))]. 4973 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [hyper(119,a,4958,a)]. 4974 x / (R(K(y,z),u,w) * x) = R(K(z,y),u,w). [hyper(62,a,651,a,b,4958,a)]. 4975 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [para(7(a,1),4958(a,1,1))]. 4977 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(4576(a,2),4958(a,1,1))]. 4978 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(4697(a,1),4958(a,1,1,2)),flip(a)]. 4979 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(4478(a,1),4975(a,1,1)),flip(a)]. 4980 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [hyper(151,a,4974,a)]. 4981 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [para(94(a,1),4974(a,1,2))]. 4982 R(K(x,y),R(x,z,u),w) != v5 | K(x,y) = v5. [para(4978(a,2),2436(a,1))]. 4983 R(K(x,y),x,z) != u | K(x,y) = u. [para(327(a,1),4982(a,1,2))]. 4984 K(x,(R(x,y,z) * u) / w) != v5 | K(x,R(x,y,z) / (w / u)) = v5. [para(4948(a,1),4982(a,1))]. 4985 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(262,a,94,a(flip),b,4980,a),flip(a)]. 4986 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(62,a,2470,a(flip),b,4980,a),flip(a)]. 4987 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(4983,a,4954,a),flip(a)]. 4988 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(4954(a,1),4983(a,1))]. 4989 R(K(x,(y / z) \ x),x,u) = K(x,(x * z) / y). [hyper(262,a,2366,a,b,4987,a)]. 4990 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1707(a,1),4987(a,1,2)),flip(a)]. 4991 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(62,a,4362,a(flip),b,4972,a)]. 4992 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(196,a,4981,a),flip(a)]. 4993 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(4985(a,1),641(a,1,1))]. 4994 R(K(x,(y / z) \ x),x,u) = K(x,(y / (x * z)) \ 1). [hyper(262,a,2623,a,b,4989,a),flip(a)]. 4995 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(4924(a,1),4572(a,1,2))]. 4996 L(x * R(K(x,y),z,u),w,x) = L(x,v5,x) * K(x,R(y \ 1,z,u) \ 1). [para(4927(a,1),2490(a,1,1))]. 4997 K(x,R(T(x,y),z,u) \ w) = K(x,R(x,z,u) \ w). [para(27(a,2),4936(a,1,2,1))]. 4998 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(4943(a,1),2206(a,1,2))]. 4999 K(x,y / R(T(x,z),u,w)) = K(x,R(x,u,w) \ y). [hyper(4157,a,4997,a)]. 5001 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(493(a,1),4926(a,1,2,1)),flip(a)]. 5002 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(62,a,4586,a(flip),b,4947,a)]. 5003 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(62,a,3363,a(flip),b,4947,a)]. 5004 R(T(K(x,(y / z) \ x),u),x,w) = T(K(x,(y / (x * z)) \ 1),u). [para(4994(a,1),27(a,2,1))]. 5005 K(x * R(y,z,u),y) * K(y,x) = y \ R(y,x,R(y,z,u)). [hyper(104,a,4998,a(flip),b,3111,a),flip(a)]. 5006 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(262,a,3848,a(flip),b,4925,a),flip(a)]. 5007 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(4925(a,2),3870(a,1,1))]. 5008 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(3814(a,1),5006(a,1,1))]. 5009 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(3848(a,1),5006(a,1,1))]. 5010 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(62,a,4329,a(flip),b,5008,a)]. 5011 K(x,K(y,R(z,u,w))) = K(z,K(x,R(y,u,w))). [hyper(62,a,5008,a(flip),b,5009,a)]. 5012 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(62,a,4330,a(flip),b,5009,a)]. 5013 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(5009(a,2),2097(a,2,2)),flip(a)]. 5014 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(262,a,3948,a(flip),b,5011,a),flip(a)]. 5015 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(3947(a,1),5014(a,1,2))]. 5016 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(4332,a,5013,a)]. 5017 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(62,a,3607,a(flip),b,4944,a),flip(a)]. 5019 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(9(a,1),5017(a,1,2,2)),flip(a)]. 5020 K(x,T(y,(x * z) * u)) = K(x,T(y,z * u)). [para(147(a,1),5017(a,1,2,2)),flip(a)]. 5021 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(262,a,4045,a,b,5019,a),flip(a)]. 5022 K(x,T(y \ (R(x,z,u) * w),w)) != v5 | K(x,(R(x,z,u) * w) / y) = v5. [para(5019(a,1),4025(a,1))]. 5023 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(62,a,3754,a,b,5020,a)]. 5024 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(100(a,1),5023(a,1,2)),flip(a)]. 5025 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(4104,a,5021,a)]. 5026 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(5021(a,2),4048(a,1))]. 5027 K(x,K(y,x * z)) = K(x,K(y,z)). [para(327(a,1),5025(a,1,2,2,1))]. 5028 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(94(a,1),5025(a,1,2,2))]. 5029 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(4056,a,5028,a)]. 5030 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(262,a,4940,a(flip),b,4953,a),flip(a)]. 5031 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(4039,a,4965,a(flip)),flip(a)]. 5032 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(4965(a,2),4039(a,1))]. 5033 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(889(a,1),5031(a,1,2,1))]. 5034 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [para(1241(a,1),5031(a,1,2))]. 5035 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(10(a,1),5034(a,1,2))]. 5036 R(K(x,y),z * T(y,u),w) = K(x,R(y,z * K(y,u),w)). [para(2899(a,1),5034(a,1,2))]. 5037 R(K(x,y),z * K(u,y),w) = K(x,R(y,z / T(y,u),w)). [para(2928(a,1),5034(a,1,2))]. 5038 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(1405(a,1),5035(a,2,2))]. 5039 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(10(a,1),5033(a,1,2)),flip(a)]. 5040 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(262,a,327,a(flip),b,5039,a),flip(a)]. 5041 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(262,a,3399,a(flip),b,5040,a),flip(a)]. 5042 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(97(a,1),5032(a,1,2,1))]. 5043 K(R(x,y,z),y) != u | K(x,R(y,x,z)) = u. [para(4423(a,1),5042(a,1))]. 5044 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(5043,a,4560,a)]. 5045 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(276(a,1),4990(a,1,2,1))]. 5046 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(104,a,4957,a(flip),b,4992,a(flip)),flip(a)]. 5047 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(3203(a,1),5046(a,1,1))]. 5048 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(5047(a,1),4368(a,1,2,2)),flip(a)]. 5049 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(3399(a,2),4993(a,2,1))]. 5050 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(62,a,2929,a,b,5005,a)]. 5051 ((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(4185(a,1),5049(a,2,1))]. 5052 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(5032,a,4966,a),flip(a)]. 5054 R(K(x,y),z * T(y,u),w) = K(x,R(y,z,w)). [hyper(62,a,5036,a,b,5052,a)]. 5055 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(3398(a,1),5052(a,1,2,2))]. 5057 K(x,R(y,z / T(y,u),w)) = R(K(x,y),z,w). [para(12(a,1),5054(a,1,2)),flip(a)]. 5058 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(5055(a,1),2420(a,1,1,2)),flip(a)]. 5059 R(K(x,y),z * K(u,y),w) = R(K(x,y),z,w). [hyper(62,a,5037,a,b,5057,a)]. 5061 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(3451(a,1),5059(a,1,2)),flip(a)]. 5062 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(2834(a,1),5061(a,1,2)),flip(a)]. 5063 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(5058(a,2),2436(a,1))]. 5064 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(5063,a,3379,a),flip(a)]. 5065 K(R(x,K(y,x) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(2212(a,1),5063(a,1,1,2,1))]. 5066 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(262,a,3370,a(flip),b,5064,a),flip(a)]. 5067 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(2225(a,1),5066(a,1,2))]. 5068 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(5067(a,1),4986(a,1,1))]. 5069 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(62,a,4727,a(flip),b,5062,a),flip(a)]. 5071 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(62,a,4423,a(flip),b,5069,a),flip(a)]. 5073 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(5071(a,1),2187(a,2,2,2))]. 5074 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(5073(a,2),2189(a,1))]. 5075 R(K(x,y),x \ y,z) = K(x,y). [hyper(2693,a,5068,a),flip(a)]. 5076 R(K(x,x * y),y,z) = K(x,x * y). [para(9(a,1),5075(a,1,2))]. 5078 K(x,K((y * x) / z,T(u,z))) = K(x,K(u,(z / x) \ y)). [hyper(4194,a,4969,a)]. 5079 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ (u * x))). [hyper(4071,a,5078,a),flip(a)]. 5081 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(2499(a,1),5007(a,1,1,1,2)),flip(a)]. 5082 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(4330(a,1),5081(a,2,1))]. 5083 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(262,a,2102,a,b,5082,a),flip(a)]. 5084 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(4024,a,5083,a),flip(a)]. 5085 T(x,R(K(y,z),u,w)) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(5083(a,1),4024(a,1))]. 5086 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(62,a,5016,a(flip),b,5084,a)]. 5087 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(561(a,1),5086(a,1,2,2)),flip(a)]. 5088 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(5086(a,1),4372(a,2,2))]. 5089 T(x,K(y,R(z,u,w))) != v5 | T(x,K(z,R(y,u,w))) = v5. [para(5016(a,1),5085(a,1))]. 5091 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(62,a,2790,a(flip),b,4941,a),flip(a)]. 5093 ((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(5091(a,1),4692(a,2,2,2,1,1))]. 5094 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(4951(a,1),5010(a,1,2)),flip(a)]. 5095 R(T(K(x,(y / z) \ x),u),x,w) = K(x,T((y / (x * z)) \ 1,u)). [hyper(262,a,3399,a,b,5004,a),flip(a)]. 5096 R(K(x,T((y / z) \ x,u)),x,w) = K(x,T((y / (x * z)) \ 1,u)). [para(3399(a,2),5095(a,1,1))]. 5097 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(4983,a,5096,a),flip(a)]. 5098 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(62,a,3603,a(flip),b,5097,a),flip(a)]. 5099 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(74(a,1),5098(a,1,2,1,1)),flip(a)]. 5100 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [hyper(62,a,3702,a,b,5099,a)]. 5101 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(4964(a,1),4960(a,1,1))]. 5102 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(4823(a,1),5003(a,1,1))]. 5103 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(3362,a,5102,a)]. 5104 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(3763,a,5103,a),flip(a)]. 5105 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(98(a,1),5103(a,1,2,2)),flip(a)]. 5106 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(62,a,4357,a(flip),b,5104,a)]. 5107 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(5106(a,1),2097(a,2,2)),flip(a)]. 5108 R(K(T(x,y),T(z,y * u)),y,u) = ((y * u) \ ((y * K(z,x)) * u)) \ 1. [para(3403(a,1),4979(a,1,1))]. 5110 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(20(a,2),4991(a,1,2))]. 5111 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(62,a,3195,a,b,5110,a)]. 5112 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(5111(a,1),2097(a,2,2)),flip(a)]. 5113 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(2101,a,5112,a),flip(a)]. 5114 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(2392(a,1),5113(a,1,2,1)),flip(a)]. 5115 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(5074,a,5114,a),flip(a)]. 5117 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(2357,a,5115,a)]. 5118 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(62,a,3373,a(flip),b,5101,a),flip(a)]. 5119 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(5118(a,1),2391(a,1,2,1)),flip(a)]. 5120 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(3432(a,1),5108(a,1,1))]. 5121 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(5119(a,2),2401(a,1))]. 5122 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(62,a,4478,a(flip),b,5120,a),flip(a)]. 5123 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(3629(a,2),5122(a,1,1))]. 5124 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(5123(a,1),2328(a,1))]. 5125 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(5124,a,4753,a)]. 5126 L(x * R(K(x,y),z,u),w,x) = L(x,v5,x) * R(K(x,y),z,u). [para(4922(a,1),4996(a,2,2))]. 5127 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,v5,x). [hyper(262,a,2595,a,b,5126,a),flip(a)]. 5129 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(262,a,2623,a(flip),b,5001,a),flip(a)]. 5130 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(62,a,4923,a(flip),b,5129,a)]. 5131 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(2035(a,1),5130(a,1,1))]. 5132 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(62,a,3373,a(flip),b,5131,a),flip(a)]. 5133 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(10(a,1),5132(a,1,2,1,1)),flip(a)]. 5134 K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). [para(2564(a,1),5132(a,1,2,1))]. 5135 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(62,a,3370,a(flip),b,5133,a),flip(a)]. 5136 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(4057,a,5094,a)]. 5137 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(5136(a,1),4057(a,1))]. 5138 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1640(a,1),5050(a,1,2))]. 5139 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(618,a,5138,a),flip(a)]. 5140 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(5138(a,1),618(a,1))]. 5141 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(62,a,5005,a,b,5139,a)]. 5142 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(5139(a,1),3596(a,1,2)),flip(a)]. 5143 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)). [para(4641(a,2),5139(a,1,2))]. 5145 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(5141(a,1),2986(a,1,1))]. 5146 K(x * R(y,z,u),y) * K(y,T(x,R(y,w,v5))) = a(y,T(x,R(y,w,v5)),R(y,z,u)). [para(4934(a,1),5141(a,1,1))]. 5147 a(x,y / R(x,z,u),R(x,z,u)) * K(x,y) = K(x,y / R(x,z,u)). [para(12(a,1),5145(a,1,2,2))]. 5148 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(2320,a,5142,a)]. 5149 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(62,a,1148,a(flip),b,5148,a)]. 5150 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(5140,a,5143,a)]. 5151 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(62,a,3364,a(flip),b,5150,a),flip(a)]. 5152 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(2751,a,5151,a)]. 5153 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(27(a,2),4945(a,1,1,2))]. 5154 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(62,a,5010,a(flip),b,4995,a)]. 5155 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(3434(a,1),5146(a,1,2)),flip(a)]. 5156 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(262,a,5141,a(flip),b,5155,a),flip(a)]. 5158 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(100(a,1),5156(a,1,2)),flip(a)]. 5159 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(5158(a,1),5147(a,1,1))]. 5160 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(262,a,3461,a(flip),b,5159,a),flip(a)]. 5161 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(3883(a,1),5153(a,1,2))]. 5162 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(2173(a,1),5161(a,1,2))]. 5164 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(5162(a,1),2790(a,1,1,2))]. 5165 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(2298(a,1),5164(a,1,1))]. 5166 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(62,a,4647,a(flip),b,5165,a),flip(a)]. 5167 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(262,a,3403,a(flip),b,5105,a),flip(a)]. 5168 (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(2766(a,1),5051(a,1,1))]. 5169 (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(3923(a,1),5168(a,1,1,2))]. 5170 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(3323,a,5169,a),flip(a)]. 5171 R(K(x,y),L(y,z,u),w) = K(x,y). [para(418(a,1),5170(a,1,1,2))]. 5172 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(62,a,3392,a(flip),b,5171,a)]. 5174 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(262,a,3476,a(flip),b,5172,a),flip(a)]. 5175 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(62,a,4363,a(flip),b,5134,a),flip(a)]. 5177 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(62,a,5149,a(flip),b,5093,a)]. 5178 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(4812,a,5177,a)]. 5181 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(4610(a,1),5178(a,2,2,2))]. 5182 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(10(a,1),5181(a,2,2,2,1))]. 5183 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(9(a,1),5182(a,2,2))]. 5185 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(262,a,5139,a(flip),b,5183,a),flip(a)]. 5186 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(62,a,4813,a(flip),b,5185,a),flip(a)]. 5188 (((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(20(a,2),1611(a,2,2,1,1))]. 5189 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1618(a,1),5188(a,1,1))]. 5190 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1631(a,1),5189(a,1,1,1))]. 5191 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(470,a,5190,a),flip(a)]. 5192 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(62,a,1351,a(flip),b,5191,a),flip(a)]. 5193 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(2957(a,1),5191(a,2,1,2,1))]. 5195 R(x * T(x \ 1,R(x,y,z)),u,w) = ((x \ 1) / (x \ R(x,u,w))) * R(x,u,w). [para(1700(a,2),5192(a,1,1,2))]. 5196 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(1859,a,5195,a),flip(a)]. 5197 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(1650,a,5196,a)]. 5198 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(104,a,5197,a(flip),b,1826,a)]. 5199 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(5197(a,1),3316(a,1,2,1,1))]. 5200 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(231(a,1),5199(a,1,2,1))]. 5201 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(5200(a,1),4715(a,1,2)),flip(a)]. 5202 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(262,a,7,a(flip),b,5201,a),flip(a)]. 5203 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(2397,a,5202,a)]. 5204 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(5010(a,1),5203(a,1,1))]. 5205 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(3399(a,2),5204(a,1,2,2,1))]. 5206 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(2389(a,1),5205(a,1,2))]. 5207 x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. [para(5206(a,1),43(a,1)),flip(a)]. 5208 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(88(a,1),1613(a,1,2,1,2,1))]. 5209 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(62,a,1383,a(flip),b,5208,a),flip(a)]. 5210 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1382(a,1),5209(a,2,2))]. 5211 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(408,a,5210,a),flip(a)]. 5212 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(1789,a,5211,a),flip(a)]. 5213 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(1785(a,1),5212(a,1,1))]. 5214 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(262,a,2061,a,b,5213,a),flip(a)]. 5215 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(2061(a,2),5214(a,1,1))]. 5216 K(x,L(1 / y,z,u) \ 1) = L(K(x,y),z,u). [para(77(a,1),5215(a,1,1,2)),flip(a)]. 5217 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(231(a,1),5215(a,1,1,2)),flip(a)]. 5218 K(x,L(y \ z,u,w) \ 1) = L(K(x,z \ y),u,w). [para(3010(a,1),5215(a,1,1)),flip(a)]. 5219 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5216(a,1),3732(a,1,2,2))]. 5221 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(3247(a,1),5219(a,1,2,2))]. 5222 T(x,L(x,y,z) * (z * y)) = T(x,z * (y * x)). [para(410(a,1),5221(a,1,2))]. 5223 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(2423,a,5217,a)]. 5224 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5217(a,1),2726(a,1,1)),flip(a)]. 5225 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(268,a,5224,a)]. 5226 1 / L(K(x,y),z,u) = L(K(y,x),z,u). [hyper(105,a,65,a(flip),b,5224,a(flip))]. 5227 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(5224(a,2),112(a,1)),flip(b)]. 5228 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(5224(a,1),119(a,1))]. 5229 L(K(T(T(x,y),z * y),u),y,z) * w = K((z * y) / (z * (u \ y)),x) \ w. [para(4480(a,1),5224(a,1,1)),flip(a)]. 5230 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(y,x),z,u) \ T(w,K(x,v5)). [para(5224(a,1),4681(a,1,1))]. 5231 K(x,1 / L(K(y,z),u,w)) = K(x,L(K(y,z),u,w)). [para(5226(a,2),4339(a,1,2))]. 5232 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(5225(a,1),266(a,1,2))]. 5233 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(5227,a,3248,a(flip)),flip(a)]. 5234 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(3248(a,2),5227(a,1))]. 5235 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(62,a,3942,a(flip),b,5233,a),flip(a)]. 5236 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(62,a,1424,a(flip),b,5233,a),flip(a)]. 5237 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(11(a,1),5233(a,1,2,2)),flip(a)]. 5238 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(74(a,1),5233(a,1,2,2)),flip(a)]. 5239 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(91(a,1),5233(a,1,2))]. 5240 L(K(x,y),z,K(y,u)) = K(x,y). [para(3380(a,1),5233(a,1,2)),flip(a)]. 5241 L(K(x,y),z,K(u,y)) = K(x,y). [para(3384(a,1),5233(a,1,2)),flip(a)]. 5242 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(5233(a,1),3399(a,2,1))]. 5243 K((K(x,y) * z) \ (K(x,y) * u),x) = K(z \ u,x). [hyper(3341,a,5240,a)]. 5244 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(62,a,3247,a(flip),b,5241,a)]. 5245 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(5244(a,1),2185(a,2,1,1))]. 5246 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(62,a,3247,a(flip),b,5236,a)]. 5247 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(1134(a,1),5246(a,1,1))]. 5248 K(x,L(y,z,x)) = K(x,y). [hyper(3251,a,5237,a),flip(a)]. 5249 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(320,a,5237,a)]. 5250 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(62,a,3387,a(flip),b,5237,a),flip(a)]. 5251 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(62,a,3385,a(flip),b,5237,a),flip(a)]. 5252 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(2899(a,1),5237(a,1,2))]. 5253 K(x,K(y,L(z,u * z,w))) = K(x,K(y,L(z,u,w))). [para(5237(a,1),4336(a,1,2)),flip(a)]. 5254 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(30(a,1),5248(a,1,2))]. 5255 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [para(253(a,1),5248(a,1,2))]. 5256 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(725(a,1),5248(a,1,2)),flip(a)]. 5257 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(5248(a,1),3247(a,1,1)),flip(a)]. 5258 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(30(a,1),5250(a,1,2))]. 5259 K(x,L(y,K(z,u),u * z)) = K(x,y). [para(2174(a,2),5250(a,1,2))]. 5260 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(2404(a,1),5250(a,1,2))]. 5261 K(x,L(y,T(z,u),u)) = K(x,L(y,z,u)). [para(2677(a,1),5259(a,1,2))]. 5262 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(62,a,3645,a,b,5255,a)]. 5263 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(62,a,3501,a,b,5255,a)]. 5264 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [hyper(62,a,3097,a,b,5255,a)]. 5265 K(x,((x \ 1) * y) \ (x \ z)) = K(x,L(y,x \ 1,x) \ z). [para(192(a,1),5255(a,1,2,1)),flip(a)]. 5266 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(5255(a,1),3187(a,2,2))]. 5267 K(x,L(y,z / u,u)) = K(x,L(y,u \ z,u)). [para(100(a,1),5261(a,1,2,2)),flip(a)]. 5268 K(x,L(y,z * u,u \ 1)) = K(x,L(y,u * z,u \ 1)). [para(1231(a,1),5261(a,1,2,2)),flip(a)]. 5269 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(90(a,2),5262(a,1,2))]. 5270 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(176(a,1),5262(a,1,2)),flip(a)]. 5271 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(262,a,2185,a,b,5245,a),flip(a)]. 5272 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(90(a,1),5271(a,1,2))]. 5273 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(253(a,1),5238(a,2,2))]. 5274 L(K(x,y \ z),z,y \ 1) = K(x,(y \ 1) * z). [para(542(a,1),5238(a,2,2))]. 5275 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(448(a,1),5238(a,2,2))]. 5276 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(62,a,5167,a,b,5263,a)]. 5277 K(x,(y * (z / u)) \ (y * z)) != w | L(K(x,u),z,y) = w. [para(91(a,1),5234(a,1,2))]. 5278 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(637(a,1),5239(a,1,2,1,2))]. 5279 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(2882(a,1),5269(a,2,2,2,2))]. 5280 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(62,a,2950,a(flip),b,5274,a),flip(a)]. 5281 K((x / (y * x)) \ 1,((x / (y * x)) \ 1) \ z) = K((x / (y * x)) \ 1,R(y \ 1,y,x) * z). [para(778(a,2),5280(a,1,2,1)),flip(a)]. 5282 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(5280(a,2),4557(a,1,1,2))]. 5283 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [hyper(2951,a,5275,a)]. 5284 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(62,a,3234,a(flip),b,5275,a),flip(a)]. 5285 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(5275(a,1),25(a,2,1))]. 5286 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(62,a,5045,a(flip),b,5283,a),flip(a)]. 5287 K(x,(y * z) \ (y * x)) = K(x,z \ x). [para(9(a,1),5283(a,1,2,1)),flip(a)]. 5288 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(10(a,1),5287(a,1,2,2))]. 5289 L(K(x,y \ z),z,z \ 1) = K(x,((z \ 1) * y) \ 1). [para(542(a,1),5218(a,1,2,1)),flip(a)]. 5290 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(62,a,4279,a(flip),b,5243,a)]. 5292 K(x \ K(y,z),y) = K(x \ 1,y). [para(8(a,1),5290(a,1,1,2))]. 5293 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(2212(a,1),5290(a,1,1,2,1))]. 5294 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(2203(a,1),5290(a,1,1,2)),flip(a)]. 5295 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(3922(a,1),5290(a,1,1,2,1))]. 5296 K(x,y) * K(z \ 1,x) = z * T(z \ K(x,y),x). [para(5292(a,1),2915(a,2,2)),flip(a)]. 5297 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(2615(a,1),5293(a,1,1,2))]. 5298 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(170(a,1),5297(a,1,1,2,2))]. 5299 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(174(a,1),5297(a,1,1)),flip(a)]. 5300 K(x,K(y,L(z,u * x,w))) = K(z,K(y,L(x,u,w))). [hyper(4243,a,5253,a)]. 5301 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(4025,a,5256,a),flip(a)]. 5302 K(x,(x * y) / z) = K(x,y / (x \ z)). [hyper(4158,a,5301,a)]. 5303 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(4988,a,5302,a),flip(a)]. 5304 K(x,(y * x) / z) = K(x,(x * y) / z). [hyper(262,a,4955,a,b,5302,a)]. 5305 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(10(a,1),5302(a,1,2,1)),flip(a)]. 5306 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(62,a,4955,a,b,5303,a)]. 5307 K(x,((x * y) / z) \ x) = K(x,z / y). [para(9(a,1),5303(a,1,2,2)),flip(a)]. 5308 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [para(5303(a,1),5002(a,1,1))]. 5309 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(5304(a,2),4988(a,1))]. 5310 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(3762,a,5305,a)]. 5311 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(4227,a,5306,a)]. 5312 K(x,T(y \ (z * x),z)) = K(x,(y / z) \ x). [hyper(4001,a,5306,a)]. 5313 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(11(a,1),5310(a,1,2,2))]. 5314 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(62,a,4471,a,b,5311,a)]. 5316 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(62,a,3648,a(flip),b,5260,a),flip(a)]. 5318 K(x,y \ T(x,z)) = K(x,y \ x). [para(2102(a,2),5316(a,1,2,2))]. 5319 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(2834(a,1),5316(a,1,2,2)),flip(a)]. 5320 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(5316(a,1),3399(a,2,1))]. 5321 K(x,y \ (z * K(x,u))) = K(x,y \ z). [para(3923(a,1),5316(a,1,2,2))]. 5322 K(x,T(y \ x,z)) = K(x,T(y,z) \ x). [hyper(4535,a,5318,a)]. 5323 K(x,y \ ((z \ x) * z)) = K(x,y \ x). [hyper(62,a,1446,a,b,5318,a)]. 5324 K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). [para(23(a,1),5318(a,1,2,2))]. 5325 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(5318(a,1),4535(a,1))]. 5326 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(3082(a,1),5321(a,1,2,2))]. 5327 K(x,y \ ((z * K(u,x)) * w)) = K(x,y \ (z * w)). [para(3627(a,1),5321(a,1,2,2)),flip(a)]. 5330 (x * ((y \ (x \ z)) * y)) \ z = K(y,x \ (y \ z)). [para(774(a,1),5264(a,1,1))]. 5331 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(62,a,926,a(flip),b,5266,a),flip(a)]. 5332 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(62,a,3766,a(flip),b,5272,a)]. 5334 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(1517(a,1),5332(a,1,2,2))]. 5335 T(x,y \ K(x,z)) = T(x,y \ 1). [para(2322(a,1),5332(a,1,2,2)),flip(a)]. 5336 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(5335(a,1),2650(a,1,2,1))]. 5337 T(x,y \ ((x \ z) * x)) != u | x * K(x,y \ z) = u. [para(5334(a,2),2482(a,1))]. 5338 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(5334(a,1),2066(a,1,1,1)),flip(a)]. 5339 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(5288(a,1),3488(a,1,1))]. 5340 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(5294(a,1),2602(a,1,1,1,2))]. 5341 K(x \ (y * z),T(z,u)) = K(x \ (z * y),T(z,u)). [para(1523(a,1),5295(a,1,1,2)),flip(a)]. 5342 (K(x,y) * K((1 / z) \ 1,x)) * u = K(x,y) * (K(z,x) * u). [para(5296(a,2),4691(a,1,1))]. 5343 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(404(a,1),5298(a,2,1))]. 5344 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [hyper(62,a,4242,a(flip),b,5300,a),flip(a)]. 5345 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(404(a,1),5319(a,1,2))]. 5346 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(262,a,3399,a,b,5320,a),flip(a)]. 5347 K(x,(y * (z * (u / x))) \ (z * (x \ u))) != w | K(x,(z * (u / x)) \ (y \ (z * (u / x)))) = w. [para(5326(a,1),3547(a,1))]. 5348 K(x,((y * K(z,x)) * u) \ (y * (u * w))) = K(x,L(w,u,y * K(z,x))). [para(18(a,2),5327(a,1,2)),flip(a)]. 5349 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,4597,a(flip),b,5330,a)]. 5350 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [hyper(38,a,2420,a,b,5330,a)]. 5351 K((x \ y) \ z,T(z,u)) = K(y \ (z * x),T(z,u)). [hyper(62,a,3516,a,b,5341,a)]. 5352 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(2102(a,2),5346(a,1,2,1,2))]. 5353 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(3524(a,1),5346(a,1,2,1,2))]. 5354 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(62,a,5125,a(flip),b,5349,a),flip(a)]. 5355 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(12(a,1),5349(a,1,2,1,2)),flip(a)]. 5356 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(5349(a,1),2420(a,1,1,2))]. 5357 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(56,a,5350,a)]. 5358 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(33,a,3347,a,b,5350,a)]. 5361 K(x \ (y \ z),y) = K(y \ (x \ z),y). [hyper(62,a,3296,a(flip),b,5358,a),flip(a)]. 5362 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(5358(a,1),2599(a,1,1,1,2))]. 5363 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(5358(a,2),3760(a,1))]. 5364 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(3286,a,5361,a)]. 5365 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [para(10(a,1),5364(a,1,1,1)),flip(a)]. 5366 T(x,x \ ((x \ y) \ z)) = 1 / (x \ K(y \ z,x)). [para(5365(a,1),2187(a,2,2,2))]. 5367 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(5363,a,3335,a),flip(a)]. 5369 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(4222(a,1),5363(a,1))]. 5370 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(4702,a,5351,a(flip)),flip(a)]. 5371 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(9(a,1),5370(a,1,1,1)),flip(a)]. 5372 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(62,a,2636,a(flip),b,5371,a)]. 5373 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(2260,a,5372,a)]. 5374 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,3649,a(flip),b,5355,a)]. 5375 T(x,x \ ((x \ y) \ z)) = T(x,y \ z). [hyper(262,a,2187,a,b,5366,a),flip(a)]. 5376 T(x,(x * y) \ z) = T(x,x \ (y \ z)). [para(9(a,1),5375(a,1,2,2,1)),flip(a)]. 5377 T(x,y \ (x \ z)) = T(x,x \ (y \ z)). [hyper(62,a,3278,a(flip),b,5376,a)]. 5378 T(x,y \ (x \ (y * z))) = T(x,x \ z). [para(9(a,1),5377(a,2,2,2))]. 5379 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(262,a,2037,a(flip),b,5270,a),flip(a)]. 5381 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(62,a,2950,a(flip),b,5273,a),flip(a)]. 5382 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(2389(a,1),5273(a,1,1,2))]. 5384 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(3745(a,1),5273(a,1,1))]. 5385 K(x,(y * x) \ z) != u | K(x,y \ z) = u. [para(5381(a,2),2248(a,1))]. 5386 K(x,(x * y) \ z) = K(x,y \ z). [hyper(5385,a,3645,a),flip(a)]. 5387 K(x,(x \ y) \ z) = K(x,y \ z). [para(10(a,1),5386(a,1,2,1)),flip(a)]. 5388 K(x * y,(x * (y * z)) \ u) = K(x * y,L(z,y,x) \ u). [para(88(a,1),5386(a,1,2,1))]. 5389 K(x,y \ (z * x)) = K(x,y \ z). [hyper(62,a,3745,a(flip),b,5387,a)]. 5390 K(x,y \ (x * z)) = K(x,y \ z). [hyper(62,a,3284,a(flip),b,5387,a)]. 5391 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(262,a,2133,a,b,5389,a),flip(a)]. 5392 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(5389(a,2),2255(a,1))]. 5393 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [para(5389(a,2),3830(a,1,2))]. 5394 K(x,x \ (y \ (x * z))) = K(x,y \ z). [hyper(3064,a,5390,a)]. 5395 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(62,a,5287,a(flip),b,5391,a),flip(a)]. 5396 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [para(5391(a,2),2487(a,1,2))]. 5397 K(x,(y \ 1) \ x) = K(x,x * y). [para(134(a,1),5395(a,1,2,2)),flip(a)]. 5398 K(x,(y / z) \ x) = K(x,x * (z / y)). [para(661(a,1),5395(a,1,2,2)),flip(a)]. 5399 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(62,a,5306,a,b,5398,a)]. 5401 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(649(a,1),5398(a,2,2,2))]. 5402 K(x,(y * x) / z) = K(x,y / z). [hyper(262,a,2133,a(flip),b,5399,a),flip(a)]. 5403 K(x,K(y,z)) * K(y,x \ z) = K(y,(z * y) / x). [hyper(262,a,4295,a,b,5402,a)]. 5404 K(x,y / (x \ z)) = K(x,y / z). [hyper(62,a,4955,a(flip),b,5402,a)]. 5405 K(x,(y / x) / z) = K(x,y / z). [para(12(a,1),5402(a,1,2,1)),flip(a)]. 5406 K(x,y / (z * x)) = K(x,y / z). [hyper(62,a,4967,a(flip),b,5405,a)]. 5407 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(262,a,2088,a,b,5406,a),flip(a)]. 5409 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(3763,a,5407,a)]. 5410 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(62,a,5313,a,b,5407,a)]. 5411 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(62,a,5103,a(flip),b,5407,a)]. 5412 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(5409(a,1),5107(a,1,2))]. 5413 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(9(a,1),5410(a,1,2,1)),flip(a)]. 5414 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(4056,a,5393,a)]. 5415 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1367(a,1),5396(a,1,2,2))]. 5416 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [hyper(62,a,5079,a,b,5414,a)]. 5417 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(5414(a,1),4047(a,1,2)),flip(a)]. 5418 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(62,a,4124,a(flip),b,5416,a)]. 5419 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(5418(a,1),4045(a,1,2))]. 5421 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1474(a,1),5392(a,1,2))]. 5422 K(x,(y * x) / z) != u | K(x,y / z) = u. [para(5403(a,1),4303(a,1))]. 5423 K(x,y / (x \ z)) != u | K(x,y / z) = u. [para(4955(a,1),5422(a,1))]. 5428 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(62,a,4359,a(flip),b,5411,a),flip(a)]. 5429 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(62,a,5413,a(flip),b,5428,a),flip(a)]. 5430 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(5429(a,1),4988(a,1))]. 5431 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * z)). [hyper(62,a,1674,a(flip),b,5278,a),flip(a)]. 5432 K(x,((y \ 1) * (y / z)) \ 1) = L(K(x,z),y,y \ 1). [para(77(a,1),5289(a,1,1,2)),flip(a)]. 5433 T(x,(y \ 1) \ (x \ z)) = x * K(x,(y \ x) \ z). [hyper(5337,a,4383,a),flip(a)]. 5434 K(x,(y \ 1) \ (x \ z)) = K(x,(y \ x) \ z). [hyper(2152,a,5433,a)]. 5435 K(x,(y \ x) \ (x * z)) = K(x,(y \ 1) \ z). [para(9(a,1),5434(a,1,2,2)),flip(a)]. 5436 K(x,(y \ x) \ (z * x)) = K(x,(y \ 1) \ z). [hyper(62,a,3702,a,b,5435,a)]. 5437 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(2721(a,1),5223(a,1,1,2))]. 5438 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [hyper(156,a,5437,a)]. 5439 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(121,a,5437,a),flip(a)]. 5440 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(88(a,1),5437(a,1,1))]. 5441 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(399(a,1),5437(a,1,1))]. 5442 x / L(L(K(y,z),u,w),K(z,y),v5) = x * L(K(z,y),u,w). [para(2793(a,2),5438(a,1,2))]. 5443 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(33,a,4788,a,b,5439,a),flip(a)]. 5445 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(5439(a,1),266(a,1,2))]. 5446 K(x,(y \ 1) * R(x,z,u)) = K(x,y \ R(x,z,u)). [hyper(62,a,5274,a(flip),b,5443,a)]. 5448 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(62,a,2434,a,b,5440,a)]. 5449 K(x,R(x,y,z) * (u \ 1)) = K(x,u \ R(x,y,z)). [hyper(62,a,3460,a,b,5446,a)]. 5450 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(5441(a,1),3348(a,1))]. 5451 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(3922(a,1),5235(a,1,1)),flip(a)]. 5452 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [para(11(a,1),5451(a,1,2,2)),flip(a)]. 5453 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(150(a,1),5451(a,1,2,2)),flip(a)]. 5454 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(199(a,1),5451(a,1,2,2))]. 5456 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(12(a,1),5453(a,1,2))]. 5457 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(5453(a,1),88(a,1,2))]. 5458 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(5456(a,1),4334(a,1,2)),flip(a)]. 5459 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(62,a,5452,a(flip),b,5252,a),flip(a)]. 5461 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(3398(a,1),5459(a,1,2,2))]. 5462 K(x,((y \ x) * (y / z)) \ x) != u | L(K(x,z),y,y \ x) = u. [para(5323(a,1),5277(a,1))]. 5463 (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(4476(a,1),5282(a,1,1,2))]. 5464 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1474(a,1),5286(a,1,2)),flip(a)]. 5465 K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. [para(5324(a,1),3539(a,1))]. 5466 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(262,a,5352,a(flip),b,5353,a),flip(a)]. 5468 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,5314,a,b,5401,a)]. 5469 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(2101,a,5412,a),flip(a)]. 5470 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ u)). [hyper(4048,a,5419,a),flip(a)]. 5471 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(62,a,4150,a(flip),b,5470,a)]. 5472 K(x,T(y,(x * z) \ u)) = K(x,T(y,z \ u)). [para(9(a,1),5470(a,1,2,2,1)),flip(a)]. 5473 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(10(a,1),5471(a,1,2,2,2)),flip(a)]. 5474 K(x,T(y,(z * u) \ ((x * z) * u))) = K(x,T(y,a(x,z,u))). [para(14(a,2),5472(a,1,2,2)),flip(a)]. 5475 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [para(1267(a,1),5472(a,1,2)),flip(a)]. 5476 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(4026,a,5473,a),flip(a)]. 5478 (x * (K(y,z) * u)) \ (x * u) != w | L(K(z,T(y,u)),u,x) = w. [para(2979(a,1),5445(a,1,1,2))]. 5479 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(262,a,3399,a,b,5285,a),flip(a)]. 5480 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(5299(a,1),3801(a,1,1)),flip(a)]. 5482 K((x / y) * y,L(z,y,x / y) \ u) = K(x,((x / y) * (y * z)) \ u). [para(12(a,1),5388(a,1,1)),flip(a)]. 5483 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(62,a,3624,a(flip),b,5431,a),flip(a)]. 5484 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(4032,a,5483,a),flip(a)]. 5486 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(10(a,1),5483(a,1,2,2)),flip(a)]. 5487 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(5483(a,1),3574(a,1,2,2)),flip(a)]. 5488 K(x,T(y,z * (u * y))) = K(x,T(y,z * u)). [para(5222(a,1),5483(a,1,2))]. 5489 K(x,T(y \ z,u * z)) = K(x,T(y \ z,u * y)). [para(10(a,1),5488(a,1,2,2,2))]. 5490 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(5484(a,1),4525(a,1,2))]. 5491 K(x,T(y \ x,z * y)) = K(x,T(y \ x,z)). [hyper(3616,a,5489,a),flip(a)]. 5492 K(x,T(y \ x,z / y)) = K(x,T(y \ x,z)). [para(12(a,1),5491(a,1,2,2)),flip(a)]. 5493 K(x,T(y \ x,y \ z)) = K(x,T(y \ x,z)). [hyper(62,a,3776,a(flip),b,5492,a)]. 5494 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(104,a,5490,a(flip),b,3111,a),flip(a)]. 5495 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = L(K(z * L(y,u,w),y),T(y,z),x). [para(5490(a,1),18(a,2,2,2)),flip(a)]. 5496 (x / (K(y,z) * L(K(z,y),u,w))) * K(y,z) = x * L(K(y,z),u,w). [hyper(62,a,398,a(flip),b,5442,a)]. 5498 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(935,a,5457,a),flip(a)]. 5499 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(33,a,3258,a,b,5457,a),flip(a)]. 5500 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [para(81(a,1),5457(a,2,2))]. 5501 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(3264(a,1),5457(a,2,2))]. 5502 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(25(a,1),5499(a,1,2))]. 5503 K(1 / x,x) / L(x,y,z) = 1 / T(L(x,y,z),1 / x). [hyper(105,a,5498,a(flip),b,2057,a(flip))]. 5504 K(x,L(y,x,z)) = K(x,y). [hyper(3132,a,5500,a),flip(a)]. 5505 K(R(x,x \ 1,y),L(z,x,u)) = K(x,z). [hyper(62,a,3372,a,b,5504,a)]. 5506 T(x,L(y,x,z)) = x * K(x,y). [para(5504(a,1),2097(a,2,2))]. 5508 T(x,L(y,x,z)) = T(x,y). [hyper(262,a,2097,a,b,5506,a),flip(a)]. 5509 T(x,(1 / x) * y) = T(x,x \ y). [para(446(a,1),5508(a,1,2))]. 5510 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(454(a,1),5508(a,1,2))]. 5511 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(5508(a,1),4599(a,1,1,2)),flip(a)]. 5512 T(x,x \ ((1 / x) \ y)) = T(x,y). [para(10(a,1),5509(a,1,2)),flip(a)]. 5513 x / T(y,(1 / y) * x) = y \ x. [para(5509(a,2),199(a,1,2))]. 5514 (x \ ((1 / x) \ y)) * T(x,y) = (1 / x) \ y. [para(5512(a,1),169(a,1,2))]. 5515 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(74(a,1),5513(a,1,2,2,1))]. 5516 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [hyper(151,a,5515,a),flip(a)]. 5517 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(5515(a,1),5413(a,1,2,2))]. 5518 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(1247,a,5516,a)]. 5519 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(10(a,1),5518(a,1,2))]. 5520 K(x,L(1 / y,z,1 / y) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(5514(a,2),1420(a,2,2))]. 5521 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(5519(a,2),5283(a,1,2,1))]. 5522 L(x,T(y,x),z) = L(x,y,z). [hyper(262,a,18,a,b,5511,a)]. 5524 L(x,y / x,z) = L(x,x \ y,z). [para(100(a,1),5522(a,1,2)),flip(a)]. 5525 K(L(x,x \ y,z),u) = L(K(x,u),y,z). [para(5524(a,1),3244(a,1,1))]. 5526 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(5524(a,1),3300(a,1,1))]. 5527 K(L(x,x \ 1,y),z) = K(x,z). [hyper(262,a,312,a(flip),b,5525,a),flip(a)]. 5528 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(9(a,1),5525(a,1,1,2)),flip(a)]. 5529 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(2063(a,2),5525(a,1,1,2))]. 5530 K(L(x,x \ y,z),y) != u | K(x,y) = u. [para(5525(a,2),3720(a,1))]. 5531 K(T(x,y),T(z,y)) = K(L(x,T(x,y) \ 1,u),z). [hyper(4038,a,5527,a),flip(a)]. 5532 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(62,a,5275,a(flip),b,5528,a),flip(a)]. 5533 K(L(x,T(x,y) \ 1,z),u) != w | K(x,u) = w. [para(5531(a,1),4030(a,1))]. 5534 L(K(x,y),K(z,x),u) = K(x,y). [hyper(5533,a,5529,a),flip(a)]. 5536 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(5534(a,1),88(a,1,2))]. 5537 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(5534(a,1),406(a,1,2,1))]. 5538 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(2430,a,5536,a)]. 5539 R(x,K(y,z),K(z,u)) = x. [hyper(466,a,5536,a)]. 5540 K(x,y) * (z * (K(u,y) * K(y,x))) = T(z * K(u,y),K(y,x)). [hyper(181,a,5536,a,b,2383,a),flip(a)]. 5541 (x / R(y,z,y)) * y = x * (K(u,w) * K(w,w * u)). [hyper(62,a,2673,a,b,5536,a)]. 5543 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2990(a,2),5536(a,2,2))]. 5544 (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(5539(a,1),1898(a,1,1,1))]. 5545 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2721(a,1),5539(a,1,2))]. 5546 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(5545(a,1),94(a,1,1)),flip(a)]. 5547 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(5545(a,1),495(a,1,1))]. 5549 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2990(a,2),5538(a,1,1,2))]. 5550 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(62,a,3631,a,b,5543,a)]. 5551 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(2912(a,1),5543(a,1,1)),flip(a)]. 5552 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(34,a,5538,a,b,5549,a(flip))]. 5553 L(K(x,y),K(y,z),u) = K(x,y). [hyper(408,a,5550,a)]. 5554 K(x,y) * (T(z,K(y,x)) * K(y,u)) = z * (K(y,u) * K(x,y)). [hyper(62,a,4378,a,b,5550,a)]. 5555 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z,K(x,y)) * K(u,y). [para(3885(a,1),5550(a,1,1)),flip(a)]. 5557 (x * K(y,z)) * L(K(u,y),w,v5) = x * (K(y,z) * L(K(u,y),w,v5)). [para(5553(a,1),407(a,1,2,1))]. 5558 (x * (K(y,z) * K(u,y))) \ x = K(z,y) * K(y,u). [hyper(108,a,5552,a)]. 5559 (x * (K(y,z) * K(u,y))) \ x = K(y,u) * K(z,y). [hyper(262,a,2990,a,b,5558,a),flip(a)]. 5560 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [para(5558(a,1),3014(a,1,1))]. 5561 x / (K(y,z) * K(u,y)) = x * (K(y,u) * K(z,y)). [hyper(156,a,5559,a)]. 5562 (x / R(y,z,y)) * y = x * (u \ L(u,w,u)). [para(3197(a,2),5541(a,2,2))]. 5563 R(x,y,x) \ x = z \ L(z,u,z). [hyper(1308,a,5562,a)]. 5565 R(x,y,x) \ 1 = x \ (z \ L(z,u,z)). [hyper(104,a,5563,a(flip),b,1369,a),flip(a)]. 5566 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,u,x) \ 1). [para(5565(a,2),2786(a,2,2))]. 5567 1 / T(L(x,y,z),1 / x) = L(x,y,z) \ 1. [hyper(62,a,295,a(flip),b,5503,a),flip(a)]. 5569 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [hyper(690,a,5567,a(flip))]. 5570 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(5569(a,1),23(a,1,1)),flip(a)]. 5571 x / L(y,z,y) = (x / y) * (K(y,u) * K(y * u,y)). [hyper(262,a,3580,a,b,5551,a)]. 5572 x / L(y,z,y) = (x / y) * a(u,w,u). [para(2394(a,2),5571(a,2,2))]. 5573 (x * y) / L(y,z,y) = x * a(u,w,u). [para(11(a,1),5572(a,2,1))]. 5575 (x / L(y,z,y)) * y = x * a(u,w,u). [hyper(1713,a,5573,a)]. 5576 (x * L(y,z,y)) * a(u,w,u) = x * y. [para(11(a,1),5575(a,1,1)),flip(a)]. 5577 K(x,x * y) * (z * u) = K(x,y) * (z * L(u,w,u)). [para(5576(a,1),2665(a,1,2))]. 5578 K(x,T(y,R(T(x,z * u),z,u))) = K(x,T(y,a(x,z,u))). [para(555(a,1),5474(a,1,2,2))]. 5579 K(x,T(y,a(x,z,u))) = K(x,y). [hyper(4031,a,5578,a),flip(a)]. 5581 T(x,T(y,a(x,z,u))) = x * K(x,y). [para(5579(a,1),2097(a,2,2))]. 5582 T(x,T(y,a(x,z,u))) = T(x,y). [hyper(262,a,2097,a,b,5581,a),flip(a)]. 5583 (T(x,x \ y) * a(x,z,u)) \ (a(x,z,u) * ((x \ y) \ y)) = K(a(x,z,u),x). [para(5582(a,1),4263(a,1,1,1))]. 5584 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(3399(a,2),5479(a,1,1))]. 5585 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(62,a,2929,a,b,5494,a)]. 5586 K(x,y) * (y \ R(y,x,L(y,z,u))) = K(x * L(y,z,u),y). [para(5494(a,1),2993(a,1,2))]. 5587 (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(774(a,2),5501(a,2,2))]. 5588 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(404(a,1),5532(a,2,2))]. 5589 K(x,T(y \ (z * x),u)) != w | K(x,T((z \ y) \ x,u)) = w. [para(5584(a,1),2951(a,1))]. 5590 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(5589,a,5312,a)]. 5591 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(9(a,1),5590(a,1,2,1,1)),flip(a)]. 5592 K(x,T(y \ x,y \ z)) = K(x,(z / (z / y)) \ x). [para(691(a,1),5591(a,1,2,1)),flip(a)]. 5593 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(1140(a,2),5591(a,1,2,1)),flip(a)]. 5594 K(x,(y / (y / z)) \ x) = K(x,T(z \ x,y)). [hyper(62,a,5493,a(flip),b,5592,a),flip(a)]. 5595 K(x,T(y \ x,x * z)) = K(x,((x * z) / y) / z). [hyper(62,a,5307,a(flip),b,5594,a),flip(a)]. 5596 K(x,((x * y) / z) / y) = K(x,T(z \ x,y)). [hyper(3544,a,5595,a),flip(a)]. 5598 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(62,a,4999,a(flip),b,5596,a)]. 5599 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(64(a,1),5284(a,2,1))]. 5600 K((R(x,y,z) \ (R(x,y,z) * (x \ u))) \ u,w \ (R(x,y,z) * u)) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). [para(1370(a,1),5284(a,2,1))]. 5601 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(5599(a,1),3911(a,1,2)),flip(a)]. 5602 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(77(a,1),5342(a,1,1,2,1))]. 5603 L(x,K(y,z),K(z,u)) = x. [hyper(408,a,5602,a)]. 5604 (K(x,y) * K(z,x)) * u = K(z,x) * (K(x,y) * u). [hyper(262,a,4617,a(flip),b,5602,a),flip(a)]. 5607 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(262,a,688,a(flip),b,5603,a),flip(a)]. 5608 L(x,K(y,z),K(u,z)) = x. [para(2212(a,1),5603(a,1,3))]. 5609 L(x,K(y,z),K(y,u)) = x. [para(2214(a,1),5603(a,1,2))]. 5610 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(2721(a,1),5603(a,1,2))]. 5611 L(x,K(y,z),K(u,y)) = x. [para(2214(a,1),5608(a,1,2))]. 5612 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [hyper(1381,a,5609,a),flip(a)]. 5613 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(62,a,2746,a(flip),b,5609,a)]. 5614 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [hyper(1381,a,5611,a),flip(a)]. 5615 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [hyper(1381,a,5610,a),flip(a)]. 5616 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(5607(a,1),4307(a,1,2,3))]. 5617 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(z,x) * (K(x,y) * u)) / (K(x,y) * K(z,x))). [para(5604(a,1),603(a,2,2,1))]. 5618 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (K(y,x) * K(u,u \ 1)). [hyper(62,a,3350,a(flip),b,5613,a)]. 5619 R(K(x,y),K(y,z),u) = K(x,y). [hyper(1918,a,5614,a)]. 5620 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(105,a,4620,a(flip),b,5614,a)]. 5621 R(K(x,y),K(z,y),u) = K(x,y). [para(2212(a,1),5619(a,1,2))]. 5622 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(5619(a,1),5191(a,1,1)),flip(a)]. 5623 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(5621(a,1),4834(a,1,2,1)),flip(a)]. 5624 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(2388(a,1),5620(a,1,1))]. 5626 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(5356(a,1),2436(a,1))]. 5627 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(5626,a,4278,a),flip(a)]. 5628 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(4278(a,1),5626(a,1))]. 5629 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(76(a,1),5627(a,1,1,1)),flip(a)]. 5630 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(5627(a,1),2187(a,2,2,2)),flip(a)]. 5631 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(262,a,3029,a(flip),b,5629,a),flip(a)]. 5632 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(1402(a,1),5357(a,2,1)),flip(a)]. 5633 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(5415(a,2),4069(a,1))]. 5634 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(262,a,3819,a(flip),b,5417,a),flip(a)]. 5635 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(4226,a,5634,a)]. 5636 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(12(a,1),5635(a,1,2,2)),flip(a)]. 5637 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(5636(a,1),2098(a,1,2,1))]. 5638 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(2389(a,1),5450(a,1,1,2))]. 5639 L(K(x,y \ ((z \ u) * x)),z \ u,z) != w | K(x,(z * (x \ y)) \ u) = w. [para(3745(a,1),5450(a,1,1))]. 5640 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). [hyper(5478,a,3628,a(flip)),flip(a)]. 5641 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(62,a,4794,a(flip),b,5540,a),flip(a)]. 5642 R(x,y,x) \ T(x,z) = x \ ((x \ L(x,u,x)) * T(x,z)). [hyper(262,a,1762,a(flip),b,5566,a)]. 5643 R(x,y,x) \ T(x,z) = x \ (K(x,z) * L(x,u,x)). [para(2644(a,1),5642(a,2,2))]. 5644 R(x,y,x) \ T(x,z) = x \ L(T(x,z),u,x). [para(2589(a,2),5643(a,2,2))]. 5645 R((x * y) / x,z,y) \ y = y \ L(T(y,x),u,y). [hyper(62,a,4563,a,b,5644,a)]. 5646 R(x * K(y,x),z,x) = (x \ L(T(x,y),u,x)) \ x. [para(5644(a,1),4779(a,1,1)),flip(a)]. 5647 T(x / ((y \ L(T(y,z),u,y)) \ y),T(R((z * y) / z,w,y),y)) = ((R((z * y) / z,w,y) \ y) \ y) \ x. [para(5645(a,1),1273(a,1,1,2,1))]. 5648 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(2189,a,5630,a),flip(a)]. 5649 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(62,a,3767,a,b,5648,a)]. 5650 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(3474(a,2),5382(a,2,2,1))]. 5651 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (y / x)) \ u). [hyper(262,a,3649,a,b,5384,a),flip(a)]. 5652 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (y / x)) \ u). [hyper(262,a,2228,a,b,5651,a),flip(a)]. 5653 L(K(x,(y \ x) \ ((z \ u) * x)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(1750(a,2),5651(a,2,2,1,2))]. 5654 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(262,a,5224,a(flip),b,5230,a),flip(a)]. 5655 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(5339(a,1),3489(a,1))]. 5656 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(62,a,5394,a(flip),b,5517,a),flip(a)]. 5657 K(x,T(((y \ z) \ 1) \ x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(5325,a,5521,a)]. 5658 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(2427(a,1),5537(a,1,1)),flip(a)]. 5659 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2996(a,1),5546(a,2,2))]. 5660 (x * K(y,z)) * (K(z,y) * L(K(u,z),w,v5)) = x * L(K(u,z),w,v5). [para(2427(a,1),5557(a,1,1)),flip(a)]. 5661 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(2325(a,2),5615(a,1,1,2,1))]. 5662 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(2652(a,1),5618(a,2,2))]. 5663 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(262,a,2461,a(flip),b,5662,a),flip(a)]. 5664 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(4191(a,1),5663(a,2,2))]. 5665 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [hyper(234,a,5664,a)]. 5666 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),x * (K(y,x) / T(x,z))) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(5665(a,1),527(a,1,2,2))]. 5667 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(165(a,2),5624(a,1,2,2,2))]. 5668 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(1895,a,5632,a),flip(a)]. 5669 T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). [hyper(262,a,178,a(flip),b,5654,a),flip(a)]. 5670 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(105,a,4973,a(flip),b,5658,a)]. 5671 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(2430,a,5659,a)]. 5672 (T(x,L(K(y,z),u,w)) * K(v5,z)) * (K(z,v5) * L(K(y,z),u,w)) = x * ((x * L(K(y,z),u,w)) / x). [hyper(262,a,603,a(flip),b,5660,a),flip(a)]. 5673 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(262,a,2066,a(flip),b,5338,a),flip(a)]. 5674 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(201(a,2),5673(a,1,1,2))]. 5675 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(100(a,1),5674(a,1,1,2)),flip(a)]. 5676 K(x,L(y,z,u * K(w,x))) = K(x,(u * z) \ (u * (z * y))). [hyper(62,a,3651,a(flip),b,5348,a),flip(a)]. 5678 K(x,L(y,z,u * K(w,x))) = K(x,L(y,z,u)). [para(18(a,2),5676(a,2,2))]. 5679 K(x,L(y,z,(x \ u) * x)) = K(x,L(y,z,u)). [para(255(a,1),5678(a,1,2,3))]. 5680 K(x,L(y,z,x / u)) = K(x,L(y,z,u \ x)). [para(2295(a,1),5678(a,1,2,3))]. 5681 K(x,L(y,z,x / (((x \ u) * x) \ x))) = K(x,L(y,z,(x \ ((u \ x) \ x)) * x)). [para(3232(a,1),5680(a,2,2,3))]. 5682 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(262,a,3832,a(flip),b,5480,a),flip(a)]. 5683 K((x / y) * y,L(z,y,x / y) \ u) = K(x,((y \ x) * (y * z)) \ u). [hyper(262,a,3655,a(flip),b,5482,a),flip(a)]. 5684 K(x,L(1 / y,z,y \ 1) \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [para(230(a,1),5520(a,1,2,1,3))]. 5685 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(2441,a,5547,a)]. 5686 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(262,a,2996,a(flip),b,5685,a),flip(a)]. 5687 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(2427(a,1),5686(a,1,2)),flip(a)]. 5688 T(x,a(y,z,K(x,u))) = x. [para(5687(a,1),3740(a,1,2))]. 5689 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(5448(a,1),5687(a,1,2))]. 5690 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(5688(a,1),3398(a,1,2,2)),flip(a)]. 5692 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2998,a,5689,a)]. 5693 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(2397,a,5689,a)]. 5694 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(5689(a,1),2077(a,1,2)),flip(a)]. 5695 ((x * y) / x) * L(K(y,x),z,u) = y * a(u,z,K(x,y)). [para(5689(a,1),2557(a,2,2))]. 5696 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(3247(a,1),5689(a,1,2))]. 5697 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(5689(a,1),4661(a,1,1)),flip(a)]. 5698 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(5689(a,1),5496(a,1,1,2))]. 5699 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [para(5689(a,1),5660(a,1,2))]. 5700 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(5689(a,1),5671(a,1,1,2))]. 5701 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(5228,a,5692,a)]. 5702 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(5237(a,1),5692(a,1,1))]. 5703 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(3623(a,1),5701(a,1,1))]. 5704 a(x,(y / T(z,u)) * z,K(z,w)) = L(K(w,z),y,x) * K(z,w). [para(5451(a,1),5702(a,1,1)),flip(a)]. 5705 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(5225(a,1),5697(a,1,2)),flip(a)]. 5707 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(2922(a,1),5699(a,1,1)),flip(a)]. 5708 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(34,a,5698,a,b,5700,a)]. 5709 (x * a(y,z,K(u,w))) \ x = a(y,z,K(w,u)). [hyper(151,a,5708,a)]. 5710 (x * a(y,z,K(u,w))) \ x != v5 | a(y,z,K(w,u)) = v5. [para(5708(a,1),269(a,1,1))]. 5711 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(62,a,651,a,b,5709,a)]. 5712 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(151,a,5711,a)]. 5713 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(118,a,5711,a)]. 5715 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(262,a,5690,a,b,5712,a),flip(a)]. 5717 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(261(a,2),5710(a,1,1))]. 5718 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(3085,a,5705,a(flip))]. 5721 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(2133(a,1),5715(a,2,2,3))]. 5722 a(x,(y / T(z,u)) * z,K(z,w)) = a(x,y,K(z,w)). [hyper(262,a,5692,a(flip),b,5704,a),flip(a)]. 5724 a(x,y * z,K(z,u)) = a(x,z * y,K(z,u)). [para(150(a,1),5722(a,1,2,1))]. 5725 a(x,T(y,z),K(z,u)) = a(x,y,K(z,u)). [para(653(a,1),5722(a,1,2))]. 5726 a(x,y / z,K(z,u)) = a(x,z \ y,K(z,u)). [para(100(a,1),5725(a,1,2)),flip(a)]. 5727 a(x,T(y,z),K(y * z,u)) = a(x,y,K(y * z,u)). [para(630(a,1),5725(a,1,2))]. 5728 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(62,a,3465,a(flip),b,5707,a)]. 5729 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [hyper(38,a,5715,a,b,5721,a),flip(a)]. 5730 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(33,a,5715,a(flip),b,5721,a(flip))]. 5731 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [para(10(a,1),5729(a,1,3,1)),flip(a)]. 5732 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,u * z)). [para(2497(a,2),5730(a,2,3)),flip(a)]. 5733 a(x,y,K(z \ 1,u * z)) = a(x,y,K(u,z)). [hyper(262,a,5730,a(flip),b,5732,a),flip(a)]. 5734 a(x,y,K(z \ 1,u * z)) = a(x,y,K(z \ 1,u)). [para(2496(a,2),5733(a,2,3))]. 5735 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(62,a,5733,a(flip),b,5734,a),flip(a)]. 5736 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(2966(a,1),5735(a,1,3))]. 5737 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(2088(a,1),5736(a,2,3))]. 5738 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(5694(a,1),5728(a,1,2)),flip(a)]. 5739 L(a(x,y,K(z,u)),z,w) = a(x,y,K(z,u)). [hyper(408,a,5738,a)]. 5740 a(x,y,a(z,u,K(y,w))) = 1. [hyper(52,a,5739,a)]. 5741 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(3922(a,1),5740(a,1,3,3))]. 5742 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(5655,a,4665,a)]. 5743 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(4058,a,5682,a)]. 5744 K(x,((y \ x) * (y * z)) \ u) = K(x,L(z,y,x / y) \ u). [para(12(a,1),5683(a,1,1)),flip(a)]. 5745 K(x,((y \ x) * (y * z)) \ u) = K(x,L(z,y,y \ x) \ u). [para(2684(a,1),5744(a,2,2,1))]. 5746 L(K(x,y),z,y \ 1) = K(x,(y \ ((1 / y) \ 1)) * T(y,1)). [hyper(62,a,5216,a(flip),b,5684,a)]. 5747 L(K(x,y),z,y \ 1) = K(x,(y \ y) * T(y,1)). [para(77(a,1),5746(a,2,2,1,2))]. 5748 L(K(x,y),z,y \ 1) = K(x,1 * T(y,1)). [para(65(a,1),5747(a,2,2,1))]. 5750 L(K(x,y),z,y \ 1) = K(x,1 * y). [para(224(a,1),5748(a,2,2,2))]. 5751 L(K(x,y),z,y \ 1) = K(x,y). [para(7(a,1),5750(a,2,2))]. 5752 L(K(x,y),z,y \ 1) = (x * y) / (y * x). [hyper(262,a,1522,a(flip),b,5751,a),flip(a)]. 5753 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(62,a,2011,a(flip),b,5752,a)]. 5754 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(2243,a,5753,a),flip(a)]. 5756 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(5754(a,1),1588(a,1,2,1)),flip(a)]. 5757 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(4889(a,1),5756(a,1,1)),flip(a)]. 5758 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [hyper(151,a,5757,a)]. 5759 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(62,a,1116,a(flip),b,5758,a)]. 5760 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(3539,a,5276,a)]. 5761 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(262,a,3273,a(flip),b,5343,a),flip(a)]. 5762 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(5628,a,5761,a)]. 5764 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(9(a,1),5631(a,2,2))]. 5765 K(x,(y * (z / x)) \ u) != w | K(x,(y * (x \ z)) \ u) = w. [para(5651(a,1),5639(a,1))]. 5767 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(62,a,4763,a(flip),b,5760,a)]. 5769 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(62,a,5024,a(flip),b,5767,a)]. 5770 K(x,((x \ y) * z) \ (x \ u)) = K(x,(y * z) \ u). [hyper(62,a,3654,a(flip),b,5769,a),flip(a)]. 5771 K(x,((x \ 1) * y) \ (x \ z)) = K(x,y \ z). [para(7(a,1),5770(a,2,2,1))]. 5772 K(x,((x \ y) * z) \ 1) = K(x,(y * z) \ x). [para(65(a,1),5770(a,1,2,2))]. 5773 K(x,L(y,x \ 1,x) \ z) = K(x,y \ z). [hyper(62,a,5265,a(flip),b,5771,a)]. 5774 L(K(T(T(x,y),z * y),u),y,z) * w = K(x,(z * y) / (z * (u \ y))) * w. [hyper(262,a,2389,a(flip),b,5229,a),flip(a)]. 5775 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(12(a,1),5354(a,1,2,1)),flip(a)]. 5776 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(262,a,5379,a(flip),b,5775,a),flip(a)]. 5777 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(171(a,1),5776(a,1,2)),flip(a)]. 5778 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(5776(a,1),4462(a,1,2))]. 5779 L(K(x,y),z,y * x) = K(x,y). [hyper(62,a,5504,a(flip),b,5777,a),flip(a)]. 5781 L(K(x \ y,x),z,y) = K(x \ y,x). [para(10(a,1),5779(a,1,3))]. 5782 L(K(x \ y,x),z,y) * (y * u) = ((x \ y) * x) * u. [para(5781(a,2),2558(a,1,1))]. 5783 L(K(x \ y,x),z,y) * (y * u) = y * (K(x \ y,x) * u). [hyper(262,a,2555,a,b,5782,a),flip(a)]. 5784 L(K(x,y),z,y * x) * ((y * x) * u) = (y * x) * (K(y \ (y * x),y) * u). [para(9(a,1),5783(a,1,1,1,1))]. 5785 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(62,a,5500,a(flip),b,5778,a),flip(a)]. 5786 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(105,a,5785,a(flip),b,98,a(flip))]. 5787 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(62,a,130,a(flip),b,5786,a),flip(a)]. 5789 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(10(a,1),5787(a,1,1,2))]. 5790 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(12(a,1),5787(a,1,1,2))]. 5791 K(x \ y,z * (u / ((x \ y) * x))) = K(x \ y,z * (u / y)). [para(5789(a,1),4686(a,1,2,2))]. 5792 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(62,a,4445,a,b,5790,a)]. 5793 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [hyper(151,a,5792,a),flip(a)]. 5794 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(5793(a,2),1104(a,2,1))]. 5795 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(62,a,2599,a(flip),b,5362,a),flip(a)]. 5796 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(5795(a,1),5344(a,1,2))]. 5797 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1367(a,1),5468(a,1,2,1))]. 5798 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(62,a,25,a,b,5510,a)]. 5799 K(a(x,y,z),T(x,u)) = K(a(x,y,z),x). [hyper(62,a,1406,a(flip),b,5583,a)]. 5800 K(x \ R(x,y,z),R(x,x \ R(x,y,z),y * z)) = K(a(x,y,z),x). [hyper(62,a,5044,a,b,5799,a)]. 5801 K(a(x,y,z),x) = 1. [hyper(2780,a,5800,a),flip(a)]. 5803 T(a(x,y,z),x) = a(x,y,z). [hyper(55,a,5801,a)]. 5804 a(x,y,z) * x = x * a(x,y,z). [para(5803(a,1),98(a,1,2)),flip(a)]. 5805 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K((x \ 1) \ 1,(z * (L(y,x \ 1,x) / x)) \ u). [para(5773(a,1),5652(a,1,1))]. 5806 L(K(T(x,y),T(z,u * y)),y,u) * w = K(x,(u * y) / (u * (z \ y))) * w. [para(3403(a,1),5774(a,1,1,1))]. 5807 L(K(x,y),z,y * x) * ((y * x) * u) = (y * x) * (K(x,y) * u). [para(9(a,1),5784(a,2,2,1,1))]. 5808 ((x * y) * (K(y,x) * z)) / ((x * y) * z) != u | L(K(y,x),w,x * y) = u. [para(5807(a,1),281(a,1,1)),flip(b)]. 5810 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(140(a,1),5797(a,1,2,2))]. 5811 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(62,a,3507,a(flip),b,5810,a)]. 5812 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(5649(a,1),5798(a,1,1))]. 5813 L(K(x,T(T(y,z * u),u)),u,z) * w = K(x,(z * u) / (z * (y \ u))) * w. [para(3403(a,1),5806(a,1,1,1))]. 5814 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(5378(a,1),5812(a,1,1)),flip(a)]. 5815 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(5814(a,1),2319(a,1,2,1))]. 5817 K((x * y) / (x * (z \ y)),u) * w = K(z,(x * y) / (x * (u \ y))) * w. [para(4481(a,1),5813(a,1,1))]. 5818 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(105,a,2834,a(flip),b,5817,a),flip(a)]. 5819 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [hyper(2421,a,5818,a)]. 5820 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(115,a,5819,a),flip(a)]. 5821 K(x,y * (K(x \ 1,z) * u)) = K(x,y * u). [para(5819(a,1),3697(a,1,2))]. 5822 K(x,y * (z / T(u,x \ 1))) = K(x,y * (z / u)). [para(4190(a,1),5821(a,1,2,2))]. 5823 K(T(x,y),z * (y / (x * y))) = K(T(x,y),z * ((x * y) \ y)). [para(3144(a,1),5822(a,1,2,2)),flip(a)]. 5824 K(x,((y * x) * z) / ((y * x) * (y \ z))) != u | L(K(x,y),w,y * x) = u. [para(5820(a,2),5808(a,1))]. 5825 L(K(x,y),z,y * x) = K(x,((y * x) * u) / (x * (y * (y \ u)))). [hyper(5824,a,5104,a)]. 5826 L(K(x,y),z,y * x) = K(x,((y * x) * u) / (x * u)). [para(10(a,1),5825(a,2,2,2,2))]. 5827 L(K(x,y),z,y * x) = K(x,R(y,x,u)). [para(20(a,2),5826(a,2,2))]. 5829 K(x,R(y,x,z)) = K(x,y). [hyper(3720,a,5827,a),flip(a)]. 5830 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(5827(a,2),2530(a,1))]. 5831 x \ T(x,R(y,x,z)) = K(x,y). [hyper(2147,a,5829,a)]. 5832 R(K(x \ y,x),y,z) = K(x \ y,x). [hyper(62,a,4956,a(flip),b,5829,a)]. 5833 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(31(a,1),5829(a,1,2))]. 5834 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(485(a,1),5829(a,1,2)),flip(a)]. 5835 T(x,R(y,x,z)) = T(x,y). [hyper(37,a,2061,a(flip),b,5831,a),flip(a)]. 5836 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(492(a,1),5835(a,1,2))]. 5837 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(3173,a,5832,a)]. 5838 K(x,L(y,x,z)) != u | K(x,y) = u. [para(5776(a,1),5830(a,1))]. 5840 K(x,T(y,y * z)) != u | K(x,T(y,z)) = u. [para(628(a,1),5838(a,1,2))]. 5842 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(5257(a,1),5838(a,1))]. 5844 K((x \ y) / z,x) = K(x \ (y / z),x). [hyper(62,a,4269,a,b,5837,a)]. 5845 K(x \ (y / z),x) * z = z * K(z \ (x \ y),x). [para(5844(a,1),3025(a,1,1))]. 5846 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(62,a,4960,a,b,5833,a)]. 5848 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(877(a,2),5840(a,1,2))]. 5850 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(3399(a,1),5848(a,1))]. 5851 (1 / x) * (y / (1 / x)) = y * K(1 / x,y * x). [para(5834(a,1),256(a,1,2)),flip(a)]. 5852 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(5834(a,1),4515(a,1,2,2))]. 5855 K(L(x,y,z),L(u,w,x)) != v5 | K(L(x,y,z),u) = v5. [para(5257(a,2),5842(a,1))]. 5856 K(x \ (y / z),T(x,z)) = K(z \ (x \ y),x). [hyper(3470,a,5845,a)]. 5857 K(x \ (y / z),T(x,y)) = K(z \ (x \ y),x). [hyper(62,a,4419,a(flip),b,5856,a)]. 5858 K(T(x,y),x \ (y / z)) = (u * K(z \ (x \ y),x)) \ u. [para(5857(a,1),2420(a,1,1,2)),flip(a)]. 5859 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(3004(a,1),5851(a,2,2))]. 5860 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(62,a,4515,a(flip),b,5852,a),flip(a)]. 5861 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(62,a,4262,a(flip),b,5860,a),flip(a)]. 5862 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(5850,a,5861,a),flip(a)]. 5864 K(T(x,y),x \ (y / z)) = K(x,z \ (x \ y)). [hyper(262,a,2420,a(flip),b,5858,a),flip(a)]. 5865 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(3539,a,5864,a)]. 5866 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(74(a,1),5865(a,1,2,1,2)),flip(a)]. 5867 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(5829(a,1),5846(a,1,1))]. 5869 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(4689(a,2),5859(a,2,2))]. 5870 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(62,a,27,a,b,5836,a)]. 5871 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(262,a,1183,a(flip),b,5870,a),flip(a)]. 5872 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(262,a,27,a,b,5871,a),flip(a)]. 5873 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(5469(a,1),5872(a,1,1))]. 5874 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(11(a,1),5873(a,1,1,2,2)),flip(a)]. 5875 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(5874(a,1),2791(a,1,2,1))]. 5876 L(K(x,y),z,L(y,u,w)) * (L(y,u,w) * z) = L(y,u,w) * (K(x,y) * z). [hyper(262,a,3469,a(flip),b,5487,a),flip(a)]. 5877 L(x,y,z) * (K(u,x) * w) = K(u,x) * (L(x,y,z) * w). [para(5236(a,1),5876(a,1,1)),flip(a)]. 5878 K(x,y) * (L(y,z,u) * (w * K(y,x))) = L(y,z,u) * T(w,K(y,x)). [para(2390(a,1),5877(a,1,2)),flip(a)]. 5880 T(L(x,y,z) * u,K(w,x)) = L(x,y,z) * T(u,K(x,w)). [hyper(62,a,4084,a(flip),b,5878,a)]. 5881 T(L(x,y,z) * u,K(x,w)) = L(x,y,z) * T(u,K(x,w)). [hyper(3901,a,5880,a)]. 5882 (L(x,y,z) * u) * K(x,K(w,u)) = T(L(x,y,z) * u,K(x,w)). [hyper(262,a,3853,a,b,5881,a)]. 5883 K(x,K(y,L(y,z,u) * w)) = K(y,K(x,w)). [hyper(33,a,3803,a,b,5882,a)]. 5884 K(x,K(y,L(y,z,u) * w)) = K(x,K(y,w)). [hyper(262,a,3830,a,b,5883,a),flip(a)]. 5885 K(x,K(y,z * L(y,u,w))) = K(x,K(y,z)). [para(3462(a,1),5884(a,1,2))]. 5886 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(88(a,1),5885(a,1,2,2))]. 5887 K(x,K(y,z * u)) * K(x,(z * (u * y)) \ y) = K(x,y / (z * (u * y))). [para(5886(a,1),4296(a,1,1))]. 5888 (x * T(y,z)) \ (x * R(y,z,L(y,u,w))) = K(z * L(y,u,w),y). [hyper(262,a,3459,a(flip),b,5495,a),flip(a)]. 5890 K(x * L(y,z,u),y) != (w * T(y,x)) \ v5 | w * R(y,x,L(y,z,u)) = v5. [para(5888(a,1),46(a,1))]. 5891 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1715(a,1),5585(a,1,2))]. 5892 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(618,a,5891,a),flip(a)]. 5894 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(4585(a,1),5892(a,1,2)),flip(a)]. 5895 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [para(5892(a,1),5586(a,1,2))]. 5896 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(262,a,5892,a(flip),b,5894,a),flip(a)]. 5897 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(4545,a,5896,a)]. 5898 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(25(a,2),5897(a,1,3))]. 5899 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(62,a,1909,a(flip),b,5898,a)]. 5900 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(62,a,3179,a(flip),b,5899,a)]. 5901 K(x,L(y,z,(x \ ((u \ x) \ x)) * x)) = K(x,L(y,z,(x \ u) * x)). [para(74(a,1),5681(a,1,2,3)),flip(a)]. 5902 K(x,L(y,z,(x \ ((u \ x) \ x)) * x)) = K(x,L(y,z,u)). [hyper(262,a,5679,a(flip),b,5901,a),flip(a)]. 5904 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(62,a,2345,a(flip),b,5815,a),flip(a)]. 5905 a(x,y,x) = K(z,L(u,w,v5)) * K(L(u,w,v5),u \ z). [para(5904(a,1),2428(a,2,2))]. 5906 a(x,x \ y,L(x,z,u)) = a(w,v5,w). [hyper(262,a,5900,a(flip),b,5905,a)]. 5908 a(x,y,L(x,z,u)) = a(w,v5,w). [para(9(a,1),5906(a,1,2))]. 5911 K(x * L(y,z,u),y) = K(x,y) * a(w,v5,w). [para(5908(a,1),5895(a,1,2)),flip(a)]. 5912 K(x * L(y,z,u),y) = K(y * x,y). [hyper(262,a,2355,a,b,5911,a),flip(a)]. 5913 K(x * L(y,z,u),y) != w | K(y * x,y) = w. [para(5911(a,2),2478(a,1))]. 5915 K(x * L(y,z,u),y) = (w * T(y,x)) \ (w * R(y,v5,y)). [hyper(262,a,3464,a,b,5912,a),flip(a)]. 5916 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(62,a,3499,a(flip),b,5912,a),flip(a)]. 5917 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(4223,a,5916,a)]. 5919 K(L(x,y,z) * u,x) = K(x * u,x). [para(9(a,1),5916(a,1,1,2)),flip(a)]. 5920 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(4153,a,5917,a)]. 5921 K(L(x,y,z) * u,x) = K(u,x). [hyper(262,a,2167,a(flip),b,5919,a),flip(a)]. 5922 K(x * a((x \ (y \ x)) \ 1,z,z \ 1),u) = a(w,v5,K(L(v6,v7,v8) * v5,v6)) * K(L(y,z,z \ 1) * (y \ x),u). [para(5921(a,2),4737(a,2,1,3))]. 5923 K(x / L(y,z,u),y) = K(x / y,y). [hyper(262,a,2016,a,b,5920,a),flip(a)]. 5924 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(333(a,1),5920(a,1,1)),flip(a)]. 5925 K(x \ (y * (z * x)),x) = K(y * z,x). [para(149(a,1),5920(a,1,1)),flip(a)]. 5926 K(1 / x,x) / L(x,y,z) = (x / L(x,y,z)) * (x \ 1). [para(5923(a,1),2856(a,1,1))]. 5927 K(x * (y * z),z) = K(x * y,z). [hyper(2252,a,5925,a)]. 5928 K(x \ (y * (x * z)),x) = K(y * z,x). [hyper(62,a,5298,a(flip),b,5925,a)]. 5929 K(x * (y \ 1),y) = K(y \ x,y). [para(68(a,1),5928(a,1,1,2)),flip(a)]. 5930 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(70(a,1),5928(a,1,1,2)),flip(a)]. 5931 x * K(x * (y \ 1),y) = (y \ x) * y. [para(5929(a,2),255(a,1,2))]. 5932 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(77(a,1),5931(a,1,2,1,2)),flip(a)]. 5933 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(262,a,3020,a(flip),b,5924,a),flip(a)]. 5934 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(3029(a,1),5932(a,2,2))]. 5935 x * R(y,z,L(y,u,w)) = x * R(y,v5,y). [hyper(5890,a,5915,a)]. 5936 R(x,y,L(x,z,u)) = R(x,w,x). [hyper(331,a,5935,a),flip(a)]. 5938 R(L(x,y,z),u,L(x,w,v5)) = L(R(x,v6,x),y,z). [para(5936(a,1),29(a,2,1))]. 5940 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(5938(a,1),2530(a,1,2))]. 5941 (x / L(x,y,z)) * (x \ 1) = L(x,y,z) \ 1. [hyper(62,a,295,a(flip),b,5926,a),flip(a)]. 5944 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(220(a,1),5941(a,1,1))]. 5945 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(108,a,5944,a)]. 5946 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(3769(a,2),5934(a,2,2))]. 5947 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(62,a,3020,a(flip),b,5933,a)]. 5949 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(2792,a,5875,a),flip(a)]. 5950 T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),w,R(x,y,z)). [para(5949(a,1),2284(a,1,1,2))]. 5951 T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),w,R(x,z,u)). [para(2601(a,1),5950(a,1,1))]. 5952 R(T(x * K(x \ y,x),y),z,u) = L(R(x,z,u),w,R(x,z,u)). [hyper(62,a,27,a,b,5951,a)]. 5953 R(L(x,y,x),z,u) = L(R(x,z,u),w,R(x,z,u)). [para(2284(a,1),5952(a,1,1))]. 5954 L(R(x,y,z),u,R(x,y,z)) = L(R(x,y,z),w,x). [hyper(2699,a,5953,a),flip(a)]. 5955 a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),w,x) * u) \ (R(x,y,z) * u). [para(5954(a,1),1388(a,1,1,1)),flip(a)]. 5956 K(x,R(x,y,z) \ ((x * R(T(x,u),y,z)) / w)) != v5 | K(x,w \ x) = v5. [para(5598(a,2),4031(a,1))]. 5957 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(2250,a,5637,a),flip(a)]. 5958 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(262,a,4321,a(flip),b,5957,a),flip(a)]. 5959 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(4322,a,5958,a)]. 5960 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(5675(a,1),5959(a,1,2))]. 5961 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(62,a,5796,a(flip),b,5960,a),flip(a)]. 5962 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(62,a,4242,a(flip),b,5961,a),flip(a)]. 5963 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(4056,a,5962,a)]. 5964 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(62,a,5743,a(flip),b,5963,a)]. 5965 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(262,a,5015,a(flip),b,5964,a),flip(a)]. 5967 K(x,K(y,a(z,x,u))) = 1. [para(171(a,1),5965(a,1,2,2,3))]. 5969 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(5967(a,1),3803(a,1,2)),flip(a)]. 5970 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(262,a,8,a(flip),b,5969,a),flip(a)]. 5971 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(62,a,2484,a(flip),b,5970,a)]. 5972 a(x,y \ z,u) * K(y,z) = K(y,z) * a(x,y \ z,u). [para(5971(a,1),98(a,1,2)),flip(a)]. 5973 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(5603(a,1),5641(a,1,1,1)),flip(a)]. 5974 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2990(a,1),5973(a,1,2,2))]. 5975 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(5974(a,1),2957(a,1,1))]. 5976 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(201(a,2),5975(a,1,1,1)),flip(a)]. 5977 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(62,a,5258,a(flip),b,5345,a),flip(a)]. 5979 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(62,a,3658,a(flip),b,5977,a),flip(a)]. 5981 K(x,L(y,K(x,z) * u,w)) = K(x,(w * u) \ (w * (u * y))). [para(2214(a,1),5979(a,1,2,2,1))]. 5982 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(18(a,2),5981(a,2,2))]. 5983 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(10(a,1),5982(a,1,2,2)),flip(a)]. 5984 K(x,L(y,z * x,u)) = K(x,L(y,x * z,u)). [para(1523(a,1),5982(a,1,2,2)),flip(a)]. 5985 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(5982(a,1),2424(a,1,2,2)),flip(a)]. 5986 K(x,L(y,z * K(x,u),w)) = K(x,L(y,z,w)). [para(3923(a,1),5982(a,1,2,2))]. 5987 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(262,a,2424,a(flip),b,5985,a),flip(a)]. 5988 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(2070(a,1),5987(a,1,1,2)),flip(a)]. 5989 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(3169,a,5764,a)]. 5990 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(9(a,1),5989(a,1,2))]. 5991 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(62,a,3274,a(flip),b,5990,a)]. 5992 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(62,a,4804,a(flip),b,5991,a)]. 5993 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(3712,a,5992,a)]. 5995 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(62,a,5947,a(flip),b,5993,a)]. 5997 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(62,a,3775,a,b,5995,a)]. 5998 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(10(a,1),5995(a,1,1,2,1)),flip(a)]. 6000 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(262,a,3769,a,b,5998,a),flip(a)]. 6001 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(6000(a,1),255(a,1,2))]. 6002 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(62,a,5946,a,b,6001,a)]. 6003 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(3539,a,5247,a),flip(a)]. 6004 K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(9(a,1),5588(a,1,2,1))]. 6006 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(18(a,2),6004(a,1,2))]. 6007 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(5855,a,6006,a)]. 6008 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(262,a,5254,a(flip),b,6007,a),flip(a)]. 6010 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(10(a,1),6008(a,2,2,2))]. 6011 K(x,L(y,x * (z / y),u)) = K(L(x,z,u),y). [para(12(a,1),6008(a,1,1,2)),flip(a)]. 6012 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(62,a,4493,a(flip),b,6010,a),flip(a)]. 6013 K(L(x,T(y * (x \ z),y),u),R(y,w,y)) = K(x,L(R(y,w,y),z,u)). [para(815(a,1),6010(a,1,1,2))]. 6014 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(62,a,3301,a(flip),b,6012,a)]. 6016 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(2530,a,6013,a)]. 6018 K(L(x,y * (x \ z),u),y) = K(x,L(R(y,w,y),z,u)). [hyper(62,a,5988,a(flip),b,6016,a)]. 6019 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(6018(a,2),5940(a,1))]. 6020 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(141(a,1),5640(a,2,1,2))]. 6021 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1711(a,1),6020(a,1,2)),flip(a)]. 6022 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(62,a,3239,a(flip),b,6021,a)]. 6023 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(62,a,3234,a(flip),b,6021,a),flip(a)]. 6024 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(5913,a,6022,a),flip(a)]. 6026 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(262,a,2635,a(flip),b,6024,a),flip(a)]. 6027 K(x \ L(y,z,u),y) != w | K(x \ y,y) = w. [para(6024(a,2),4232(a,1))]. 6028 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(6027,a,6023,a),flip(a)]. 6030 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(262,a,3334,a(flip),b,6028,a),flip(a)]. 6031 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(88(a,1),6030(a,1,1,2))]. 6032 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(5369,a,6031,a)]. 6033 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(262,a,5367,a(flip),b,6032,a),flip(a)]. 6034 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(62,a,5762,a(flip),b,6033,a)]. 6035 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(18(a,2),6034(a,2,1))]. 6036 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(6019,a,6035,a),flip(a)]. 6037 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(6035(a,1),6019(a,1))]. 6038 K(x,L(y,y,z)) = K(x,y). [hyper(5530,a,6036,a),flip(a)]. 6039 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(5526,a,6036,a)]. 6040 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(6036(a,1),5526(a,1))]. 6042 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(5842,a,6039,a),flip(a)]. 6043 K(x,L(y \ 1,z,u)) = K(y,L(x,z,u)). [hyper(2727,a,6039,a)]. 6044 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(62,a,5693,a,b,6039,a)]. 6045 (x * (y * z)) \ (x * (y * T(z,u))) = K(z,L(u,y * z,x)). [hyper(62,a,2931,a,b,6039,a)]. 6046 K((x \ 1) \ (x \ y),L(z,y / x,x)) = K(y,z). [hyper(62,a,4828,a(flip),b,6039,a),flip(a)]. 6047 K(x \ y,L(z,y,y \ 1)) = K(((y \ 1) * x) \ 1,z). [hyper(62,a,3214,a(flip),b,6039,a),flip(a)]. 6048 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(6039(a,1),88(a,1,2))]. 6049 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(253(a,1),6039(a,2,2))]. 6050 L(K(x,(y \ z) \ u),y \ z,y) = K(x,z \ (y * u)). [para(448(a,1),6039(a,2,2))]. 6051 (x * y) * K(z,L(u,T(x,y),y)) = y * (T(x,y) * K(z,u)). [para(6039(a,1),409(a,1,2))]. 6052 (x * (y * K(z,u))) / T(x * y,K(z,L(u,y,x))) = L(K(z,u),y,x). [para(6039(a,1),402(a,1,2,2))]. 6053 L(K(x,y / z),z,z \ 1) = K(x,y * (z \ 1)). [para(1301(a,1),6039(a,2,2))]. 6054 K(x,y) \ (K(x,L(y,z,u)) \ (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(6039(a,1),1487(a,1,2,1))]. 6055 x * L(K(x,y),z,u) = T(x,L(y,z,u)). [para(6039(a,2),2097(a,2,2)),flip(a)]. 6056 K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). [para(6039(a,2),3837(a,2,2))]. 6057 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(6039(a,1),5692(a,1,1))]. 6058 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(6039(a,1),5695(a,1,2))]. 6059 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(6039(a,1),5718(a,1,2))]. 6060 K(x \ 1,L(y,z,u)) = K(y,L(x,z,u)). [para(231(a,1),6043(a,1,2,1)),flip(a)]. 6061 x * (y * K(x * y,z)) = T(x * y,L(z,y,x)). [hyper(248,a,6055,a)]. 6062 K(x / y,L(z,u,w)) = K(z,L(y / x,u,w)). [hyper(3072,a,6060,a)]. 6063 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(2527,a,6060,a)]. 6064 K(x,L(y,z,u)) != w | K(L(x,z,u),y) = w. [para(6060(a,1),2527(a,1))]. 6065 K(x,L(y \ 1,z,u)) != w | K(y,L(x,z,u)) = w. [para(6060(a,1),2976(a,1))]. 6066 K(x,L(y \ z,u,w)) != v5 | K(z \ y,L(x,u,w)) = v5. [para(6060(a,1),3069(a,1))]. 6067 K(x,L(y / z,u,w)) != v5 | K(z / y,L(x,u,w)) = v5. [para(6060(a,1),3072(a,1))]. 6068 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(262,a,6039,a,b,6063,a)]. 6069 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(62,a,6036,a(flip),b,6063,a),flip(a)]. 6070 K(x,L((y * z) \ z,u,w)) = K(y,T(L(x,u,w),z)). [hyper(62,a,3502,a(flip),b,6063,a),flip(a)]. 6071 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(447(a,1),6063(a,1,1)),flip(a)]. 6072 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(6063(a,1),2914(a,1,2))]. 6073 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [para(6068(a,1),5689(a,1,2))]. 6074 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [para(6068(a,1),5701(a,1,1))]. 6075 K(L(x,y \ z,u),T(y,w)) = w / (w * K(y,L(x,z,u))). [para(6069(a,1),4008(a,1,2,2)),flip(a)]. 6076 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(6063(a,2),6040(a,1))]. 6077 L(K(x,y),z,u) != w | K(L(x,z,u),y) = w. [para(6039(a,2),6064(a,1))]. 6078 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(3834(a,2),6076(a,1))]. 6079 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [hyper(62,a,5690,a(flip),b,6044,a)]. 6080 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,5702,a(flip),b,6057,a)]. 6081 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(6057(a,1),2077(a,1,2)),flip(a)]. 6082 a(x,y,K(z,u)) * K(u,z) != w | K(u,L(z,y,x)) = w. [para(6057(a,1),2431(a,1,1)),flip(b)]. 6083 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [hyper(62,a,5724,a(flip),b,6080,a)]. 6084 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [para(10(a,1),6083(a,1,2)),flip(a)]. 6085 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(3834(a,2),6083(a,1,3))]. 6086 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(6059(a,1),2431(a,1,1)),flip(b)]. 6087 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(62,a,4854,a,b,6073,a)]. 6088 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(62,a,5696,a(flip),b,6073,a)]. 6089 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(4323(a,1),6073(a,1,2))]. 6090 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(10(a,1),6088(a,1,2))]. 6092 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(12(a,1),6087(a,1,1))]. 6093 a(x,T(y,z),K(u,T(y,z) \ (z \ 1))) = a(x,z \ 1,K(u,(z \ 1) / y)). [para(1242(a,1),6090(a,1,3,2)),flip(a)]. 6094 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(5525(a,1),6037(a,1))]. 6095 (x * (y * z)) \ (x * (y * T(z,u))) != w | K(z,L(u,y * z,x)) = w. [para(2931(a,2),6094(a,1))]. 6096 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(5693(a,2),6094(a,1))]. 6097 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(6068(a,1),6094(a,1))]. 6098 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(6042(a,2),6097(a,1))]. 6099 (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). [para(253(a,1),6048(a,1,2,2))]. 6100 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(3139(a,1),6048(a,1,2,2))]. 6101 (x * (y * K(z,u))) * K(w,L(v5,K(z,L(u,y,x)),x * y)) = (x * y) * (K(z,L(u,y,x)) * K(w,v5)). [para(6048(a,1),6048(a,1,1))]. 6102 L(x,y,z) != K(u,(z * y) \ w) | K(u,y \ (z \ w)) = x. [para(6049(a,1),49(a,1)),flip(a)]. 6103 K((x \ 1) \ y,x * z) = K(x * y,(x \ 1) \ z). [para(447(a,1),6071(a,1,2))]. 6104 K(x,L(y,x * z,u)) != w | K(x,L(y,z,u)) = w. [para(5984(a,1),6098(a,1))]. 6105 T(x,L(K(y,z),u,w)) = T(x,K(y,L(z,u,w))). [hyper(3839,a,6056,a),flip(a)]. 6106 K(x,L((y * z) \ z,u,w)) = K(y,L(T(x,z),u,w)). [para(25(a,2),6070(a,2,2))]. 6107 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(62,a,4897,a,b,6081,a)]. 6108 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(3834(a,2),6085(a,2,3))]. 6109 K(x * y,(x \ 1) \ (x \ z)) = K((x \ 1) \ y,z). [para(10(a,1),6103(a,1,2)),flip(a)]. 6110 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(6107(a,1),2118(a,1,1))]. 6111 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),w,x). [para(6107(a,1),2198(a,1,1))]. 6112 K((x \ 1) \ (x \ y),z) = K(y,(x \ 1) \ (x \ z)). [para(10(a,1),6109(a,1,1)),flip(a)]. 6113 K(x,(y \ 1) \ (y \ L(z,x / y,y))) = K(x,z). [hyper(62,a,6046,a(flip),b,6112,a),flip(a)]. 6114 K(x,L((y \ 1) \ (y \ z),x / y,y)) = K(x,z). [para(1603(a,2),6113(a,1,2))]. 6115 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K(x,z). [hyper(62,a,5267,a(flip),b,6114,a)]. 6116 K(x,(y \ 1) \ (y \ L(z,y \ x,(y \ x) \ 1))) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(62,a,6112,a(flip),b,6047,a)]. 6117 L(x,y \ z,y) != K(u,z \ (y * w)) | K(u,(y \ z) \ w) = x. [para(6050(a,1),49(a,1)),flip(a)]. 6118 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(5696(a,1),6086(a,1))]. 6119 a(x,y,K(z,u \ y)) != w | a(x,u,K(z,u \ y)) = w. [para(10(a,1),6118(a,1,2))]. 6120 K(L(x,y \ z,u),T(y,w)) = K(L(x,z,u),T(y,w)). [hyper(262,a,4008,a(flip),b,6075,a),flip(a)]. 6121 K(L(x,y \ z,u),T(y,w)) = K(x,L(T(y,w),z,u)). [hyper(262,a,6063,a(flip),b,6120,a),flip(a)]. 6122 K(x,L(T(y,z),y \ u,w)) = K(x,L(T(y,z),u,w)). [hyper(6097,a,6121,a)]. 6123 (x * (y * z)) \ (x * (y * T(z,u))) = K(z,L(u,y,x)). [hyper(6098,a,6045,a(flip)),flip(a)]. 6124 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(2676(a,1),6051(a,1,2,2))]. 6125 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(6072,a,6058,a)]. 6126 (x * L(y,z,y)) / T(T(x,y),L(T(y,x * y),u,w)) = T(y,x * y) * a(w,u,K(T(x,y),T(y,x * y))). [para(1306(a,1),6125(a,1,1))]. 6127 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(62,a,5464,a(flip),b,6092,a)]. 6128 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(5920(a,1),6127(a,2,3))]. 6129 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(262,a,5731,a(flip),b,6128,a),flip(a)]. 6131 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(5421,a,6129,a)]. 6132 x \ L(T(x,L(y,z,u) \ y),w,x) = a(u,z,K(x,y)). [hyper(62,a,2104,a,b,6131,a)]. 6133 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(12(a,1),6131(a,1,2))]. 6134 K(x * (L(y,z,u) \ y),x) = w / (a(u,z,K(x,y)) * w). [para(6131(a,1),2391(a,1,2,1)),flip(a)]. 6135 K(x * (L(y,z,u) \ y),x) = a(u,z,K(y,x)). [hyper(262,a,5711,a(flip),b,6134,a),flip(a)]. 6136 L(x,a(y,z,K(u,w)),w) = x. [para(6135(a,1),2135(a,1,2))]. 6137 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [para(6135(a,1),5729(a,1,3)),flip(a)]. 6138 (x * a(y,z,K(u,x))) * w = x * (a(y,z,K(u,x)) * w). [hyper(1381,a,6136,a),flip(a)]. 6139 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [hyper(62,a,5736,a(flip),b,6137,a)]. 6140 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(6137(a,1),5703(a,1,2))]. 6141 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(6089(a,1),2988(a,1))]. 6142 x * (y * K(z,y \ (x \ (u \ (x * y))))) = (x * y) * K(u,T(z,x * y)). [para(3427(a,1),6099(a,1,2)),flip(a)]. 6143 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(62,a,3633,a,b,6100,a)]. 6144 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(62,a,4592,a(flip),b,6143,a),flip(a)]. 6145 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(3287,a,6133,a)]. 6146 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(62,a,3334,a(flip),b,6145,a)]. 6147 K(x,L(y,z,u)) != w | K(x,L(y,z * x,u)) = w. [para(6123(a,1),6095(a,1))]. 6148 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [hyper(33,a,658,a(flip),b,6144,a),flip(a)]. 6149 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(6148(a,1),6144(a,1,2)),flip(a)]. 6150 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(4485(a,1),6149(a,2,2))]. 6151 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(5740(a,1),6140(a,1,2)),flip(a)]. 6152 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(262,a,8,a(flip),b,6151,a),flip(a)]. 6154 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(6152(a,1),2391(a,1,2,1)),flip(a)]. 6155 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(262,a,2391,a(flip),b,6154,a),flip(a)]. 6156 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(6155(a,1),2097(a,2,2))]. 6157 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(6155(a,1),3875(a,1,2)),flip(a)]. 6158 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(262,a,2097,a,b,6156,a),flip(a)]. 6159 x \ L(T(x,a(y,z,u)),w,x) = a(y,z,K(x,u)). [para(6158(a,1),6132(a,1,2,1))]. 6160 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(2251,a,6159,a)]. 6161 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(62,a,2133,a(flip),b,6160,a),flip(a)]. 6162 x * (y * K(z,y \ (x \ (u \ (x * y))))) = K(u,z) * (x * y). [hyper(262,a,3398,a(flip),b,6142,a),flip(a)]. 6163 x * K(y,x \ (z \ (u \ (z * x)))) = z \ (K(u,y) * (z * x)). [hyper(104,a,3398,a(flip),b,6142,a),flip(a)]. 6164 (x \ 1) * ((x * y) * K(z,(x * y) \ ((x \ 1) \ (u \ L(y,x,x \ 1))))) = K(u,z) * ((x \ 1) * (x * y)). [para(537(a,1),6162(a,1,2,2,2,2,2,2))]. 6166 x * K(y \ 1,x \ (z \ (u \ (z * x)))) = z \ (K(y,u) * (z * x)). [para(2499(a,1),6163(a,2,2,1))]. 6167 x * K(y,(z \ (u \ (z * x))) \ x) = z \ (K(y,u) * (z * x)). [para(3011(a,1),6166(a,1,2))]. 6168 K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(2389(a,1),6054(a,1,2))]. 6169 K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). [para(6063(a,1),6168(a,1,2,1))]. 6170 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(2107(a,1),6169(a,1,2))]. 6171 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(6081(a,1),6170(a,1,2)),flip(a)]. 6172 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). [para(2166(a,1),6171(a,2,2,2,3))]. 6173 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(262,a,2408,a(flip),b,6172,a),flip(a)]. 6174 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(98(a,1),5669(a,1,1))]. 6175 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(262,a,5486,a(flip),b,6003,a),flip(a)]. 6177 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(262,a,3929,a(flip),b,6175,a),flip(a)]. 6178 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(262,a,5174,a(flip),b,6177,a),flip(a)]. 6179 K(x / (L(y,z,u) \ w),y) = K((w / x) \ L(y,z,u),y). [hyper(4165,a,6178,a)]. 6180 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(262,a,6026,a(flip),b,6179,a),flip(a)]. 6182 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(6180(a,1),6146(a,2,3))]. 6183 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(77(a,1),6182(a,2,3,1))]. 6186 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(6183(a,1),2391(a,1,2,1)),flip(a)]. 6187 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(262,a,5711,a(flip),b,6186,a),flip(a)]. 6188 K(x,y \ L(y,z,u)) = a(u,z,K(y,x)). [hyper(62,a,2133,a(flip),b,6187,a)]. 6189 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(6187(a,1),2097(a,2,2))]. 6190 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(y,y \ z,K((y \ z) \ u,x)). [para(448(a,1),6188(a,1,2,2))]. 6191 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(y,y \ z,K(x,u \ (y \ z))). [hyper(262,a,5736,a(flip),b,6190,a),flip(a)]. 6192 K(x,L((y \ 1) \ (y \ z),y \ x,(y \ x) \ 1)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [para(1603(a,2),6116(a,1,2))]. 6193 K((x \ 1) \ 1,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(5639,a,5805,a),flip(a)]. 6194 K(x,(y * (L(z,x \ 1,x) / x)) \ u) = K(x,(y * (x \ z)) \ u). [hyper(2976,a,6193,a)]. 6195 K(x,(y * (x \ L(z,x \ 1,x))) \ u) = K(x,(y * (x \ z)) \ u). [hyper(5765,a,6194,a)]. 6196 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * (x \ z)) \ u). [para(372(a,1),6195(a,1,2,1,2))]. 6197 K(x,(y * ((x \ 1) * z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(262,a,5374,a(flip),b,6196,a),flip(a)]. 6198 K(x,(y * ((x \ 1) * z)) \ T(u,x)) = K(x,(y * z) \ (u * x)). [para(22(a,2),6197(a,1,2,2))]. 6199 K(x,(y * ((x \ 1) * z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(3722,a,6198,a)]. 6200 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,6196,a(flip),b,6199,a)]. 6201 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(62,a,5384,a,b,6200,a)]. 6202 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,3649,a,b,6200,a)]. 6203 K(x,((y * K(x \ z,y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(2120(a,1),6200(a,1,2,1)),flip(a)]. 6204 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(6200(a,1),4233(a,1,2,2))]. 6205 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(6202(a,1),5273(a,1,1))]. 6206 K(x,(((K(y,x \ z) / y) \ 1) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [para(2343(a,2),6203(a,1,2,1,1))]. 6207 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(2474,a,6204,a),flip(a)]. 6208 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(4510,a,6207,a)]. 6209 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(6208(a,1),4696(a,1,1,2,2))]. 6210 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,((x \ z) * y) \ u). [hyper(2532,a,6206,a)]. 6211 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(62,a,6201,a(flip),b,6205,a),flip(a)]. 6212 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(262,a,5866,a(flip),b,5279,a),flip(a)]. 6213 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(230(a,1),6212(a,2,2,2,1))]. 6214 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(262,a,5476,a(flip),b,6213,a),flip(a)]. 6215 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(262,a,3938,a(flip),b,6214,a),flip(a)]. 6216 K(x,T(x \ y,z)) = K(x,x \ T(y,z)). [hyper(5838,a,6215,a),flip(a)]. 6218 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(262,a,4735,a,b,6216,a)]. 6219 T((x \ y) * x,z) \ T(y,z) = K(x,T(x \ y,z)). [hyper(262,a,598,a,b,6216,a)]. 6220 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(6218(a,1),2102(a,2,1)),flip(a)]. 6221 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(62,a,4453,a(flip),b,6220,a),flip(a)]. 6222 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(6221(a,2),2650(a,1,2))]. 6223 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(249,a,6222,a)]. 6224 (x / y) * (y * K(x,z)) != u | (K(x,z) * y) * (y \ x) = u. [para(6222(a,1),249(a,1))]. 6225 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(5347,a,6211,a)]. 6226 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(62,a,3604,a,b,6225,a),flip(a)]. 6227 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(262,a,4411,a(flip),b,6226,a),flip(a)]. 6228 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(12(a,1),6227(a,1,2,1)),flip(a)]. 6229 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(62,a,3533,a(flip),b,6228,a),flip(a)]. 6230 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(262,a,3010,a(flip),b,6229,a),flip(a)]. 6231 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(3511,a,6230,a),flip(a)]. 6232 K(x,y * (x \ z)) = K(x,y * z). [hyper(2248,a,6231,a),flip(a)]. 6233 K(x,y * (x \ 1)) = K(x,x \ y). [para(8(a,1),6231(a,1,2,2)),flip(a)]. 6234 K(x,y * L(z \ u,z,z \ x)) = K(x,y * ((x / z) * u)). [para(2686(a,2),6232(a,1,2,2))]. 6235 K(x,y * ((x / z) * (z * u))) = K(x,y * L(u,z,z \ x)). [para(2688(a,1),6232(a,1,2,2)),flip(a)]. 6236 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,y * x) = z. [para(6233(a,1),3716(a,1))]. 6237 K((x / (y * x)) \ 1,R(y \ 1,y,x) * z) = K((x / (y * x)) \ 1,z * (x / (y * x))). [hyper(6236,a,5281,a),flip(a)]. 6238 K(x,y * T((x / z) * u,u)) = K(x,y * L(z \ ((x / z) * (u / (x / z))),z,z \ x)). [para(670(a,2),6234(a,2,2,2)),flip(a)]. 6239 K((x / (y * x)) \ 1,z * (x / (y * x))) = K(y,R(y \ 1,y,x) * z). [hyper(62,a,2621,a(flip),b,6237,a),flip(a)]. 6241 T(K(T(x,y),z * (y / (x * y))),y) = K(x,R(x \ 1,x,y) * z). [hyper(62,a,4099,a(flip),b,6239,a)]. 6242 K(x,R(x \ 1,x,y) * z) = K(x,z * (y / (x * y))). [hyper(62,a,2621,a(flip),b,6239,a),flip(a)]. 6244 T(K(T(x,y),z * ((x * y) \ y)),y) = K(x,R(x \ 1,x,y) * z). [para(5823(a,1),6241(a,1,1))]. 6245 K(T(x,y),T(z * ((x * y) \ y),y)) = K(x,R(x \ 1,x,y) * z). [hyper(3543,a,6244,a)]. 6246 K(x,R(x \ 1,x,y) * z) = K(x,z * ((x * y) \ y)). [hyper(4030,a,6245,a),flip(a)]. 6248 K(x,y * T((x / z) * u,u)) = K(x,y * L(z \ T(u,(x / z) \ 1),z,z \ x)). [para(1229(a,2),6238(a,2,2,2,1,2))]. 6249 K(x,y * T((x / z) * u,u)) = K(x,y * L(z \ T(u,z / x),z,z \ x)). [para(2873(a,1),6248(a,2,2,2,1,2))]. 6250 L(K(x,(y \ 1) \ (z \ u)),z \ u,z) = K(x,(z * ((((y \ x) / x) * y) * (1 / y))) \ u). [para(5436(a,1),5653(a,1,1))]. 6251 K(x,(y * ((((z \ x) / x) * z) * (1 / z))) \ u) = K(x,(y * (z \ 1)) \ u). [hyper(5450,a,6250,a),flip(a)]. 6252 K(x,(y * ((z \ x) / x)) \ u) = K(x,(y * (z \ 1)) \ u). [para(1750(a,1),6251(a,1,2,1,2))]. 6253 K(x,(y * (z \ x)) \ (u * x)) = K(x,(y * (z \ 1)) \ u). [hyper(62,a,6202,a(flip),b,6252,a)]. 6254 K(x,(y * ((z \ x) \ 1)) \ u) = K(x,(y * z) \ (u * x)). [hyper(62,a,3640,a(flip),b,6253,a),flip(a)]. 6255 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * (1 / (1 / y))) \ u). [para(2591(a,1),6254(a,1,2,1)),flip(a)]. 6256 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(262,a,1388,a(flip),b,5955,a),flip(a)]. 6257 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(27(a,2),6256(a,2,3))]. 6258 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(5619(a,1),5622(a,2,2,1,1))]. 6259 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(2325(a,1),6258(a,2,2,1))]. 6261 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(2325(a,1),6259(a,1,1,2,1))]. 6262 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(62,a,2418,a(flip),b,6261,a)]. 6263 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(6261(a,1),460(a,1,1,1)),flip(a)]. 6264 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(6261(a,2),4659(a,1,1))]. 6266 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(3801(a,1),6264(a,1,1,1,2,1))]. 6267 K(x,((1 / (K(y,(z \ x) \ 1) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(232(a,1),6255(a,2,2,1,2))]. 6268 K(x,((1 / (K(y,x \ z) / y)) * z) \ (u * x)) = K(x,(((z \ x) \ 1) * y) \ u). [para(3010(a,1),6267(a,1,2,1,1,2,1))]. 6269 K(x,(((y \ x) \ 1) * z) \ u) = K(x,((x \ y) * z) \ u). [hyper(62,a,6210,a(flip),b,6268,a),flip(a)]. 6270 K(x,((x \ (y \ x)) * z) \ 1) = K(x,((y \ 1) * z) \ 1). [hyper(62,a,4746,a(flip),b,6269,a),flip(a)]. 6271 K(x,((y \ 1) * z) \ 1) = K(x,((y \ x) * z) \ x). [hyper(62,a,5772,a(flip),b,6270,a),flip(a)]. 6272 K(x,((y \ x) * (y / z)) \ x) = L(K(x,z),y,y \ 1). [hyper(62,a,5432,a(flip),b,6271,a),flip(a)]. 6273 L(K(x,y),z,z \ 1) != u | L(K(x,y),z,z \ x) = u. [para(6272(a,1),5462(a,1))]. 6274 L(K(x,y),z,z \ x) = K(x,L(y,z,z \ 1)). [hyper(6273,a,6039,a)]. 6275 K(x,L(y,z,z \ 1)) = K(x,L(y,z,z \ x)). [hyper(6094,a,6274,a),flip(a)]. 6276 K(x,L(y,z,z \ 1)) != u | K(x,L(y,z,z \ x)) = u. [para(6274(a,1),6094(a,1))]. 6277 K(x,L(y,z,(x \ (z \ x)) * x)) = K(x,L(y,z,z \ 1)). [hyper(262,a,5679,a,b,6275,a)]. 6278 K(x,L(y,z \ x,(z \ x) \ 1)) = K(x,L(y,z \ x,z)). [hyper(62,a,5902,a(flip),b,6277,a),flip(a)]. 6279 K(x,L((y \ 1) \ (y \ z),y \ x,y)) = K((((y \ x) \ 1) * (y \ 1)) \ 1,z). [hyper(62,a,6192,a(flip),b,6278,a),flip(a)]. 6280 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(62,a,6115,a(flip),b,6279,a),flip(a)]. 6282 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [hyper(62,a,2838,a(flip),b,6280,a)]. 6283 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(62,a,2640,a(flip),b,6280,a)]. 6284 1 / ((T(x,y) / z) \ x) = K(x,y) / z. [hyper(299,a,6282,a),flip(a)]. 6286 (1 / (x \ y)) \ K(y,z) != u | x \ T(y,z) = u. [para(6282(a,1),266(a,1,2))]. 6287 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(6283(a,1),4614(a,2,1))]. 6288 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(262,a,2062,a(flip),b,6287,a),flip(a)]. 6290 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(4496(a,1),6288(a,2,2))]. 6291 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(3295(a,1),6290(a,1,1))]. 6292 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(2755,a,5340,a),flip(a)]. 6293 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(2194(a,1),6292(a,1,2)),flip(a)]. 6294 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(z,x) * (K(x,y) * u)) * (K(x,z) * K(y,x))). [para(5561(a,1),5617(a,2,2))]. 6295 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (T(K(x,y) * u,K(z,x)) * K(y,x)). [para(5555(a,1),6294(a,2,2))]. 6296 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * (T(K(x,y) * u,K(x,z)) * K(y,x)). [para(3883(a,1),6295(a,2,2,1))]. 6297 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * ((K(x,y) * T(u,K(x,z))) * K(y,x)). [para(4372(a,1),6296(a,2,2,1))]. 6298 T(K(x,y) * K(z,x),u) * u = (K(x,y) * K(z,x)) * T(T(u,K(x,z)),K(x,y)). [para(3885(a,1),6297(a,2,2))]. 6299 T(K(x,y) * K(z,x),u) * u = K(z,x) * (K(x,y) * T(T(u,K(x,z)),K(x,y))). [hyper(262,a,5604,a(flip),b,6298,a),flip(a)]. 6300 T(K(x,y) * K(z,x),u) * u = K(z,x) * (T(u,K(x,z)) * K(x,y)). [para(98(a,1),6299(a,2,2))]. 6301 T(K(x,y) * K(z,x),u) * u = u * (K(x,y) * K(z,x)). [hyper(262,a,5554,a(flip),b,6300,a),flip(a)]. 6302 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [hyper(181,a,6301,a(flip),b,2195,a),flip(a)]. 6303 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(181,a,6301,a(flip),b,6298,a(flip)),flip(a)]. 6305 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [hyper(389,a,6303,a)]. 6306 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(3883(a,1),6303(a,1,1))]. 6307 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(5089,a,6305,a)]. 6308 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(62,a,6303,a(flip),b,6305,a)]. 6309 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [para(2990(a,1),6305(a,2,2))]. 6310 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [para(2990(a,1),6306(a,2,2))]. 6311 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(4422(a,1),6306(a,1,1,2)),flip(a)]. 6312 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(6306(a,1),5976(a,2,1))]. 6313 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(2482,a,6308,a)]. 6314 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(6309(a,1),4522(a,1,1))]. 6315 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(33,a,2097,a(flip),b,6302,a),flip(a)]. 6316 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(6313(a,1),2101(a,1))]. 6317 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(6305(a,2),6316(a,1))]. 6318 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(2110,a,6314,a),flip(a)]. 6320 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(262,a,5560,a(flip),b,6318,a),flip(a)]. 6321 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,R(K(y,w),z,u)). [para(4949(a,1),6318(a,1,2,2)),flip(a)]. 6322 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(262,a,6315,a,b,6320,a),flip(a)]. 6323 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(62,a,4632,a,b,6320,a)]. 6324 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(62,a,6310,a(flip),b,6307,a),flip(a)]. 6325 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(262,a,2054,a,b,6312,a),flip(a)]. 6326 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(2389(a,1),6325(a,1,2))]. 6327 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(262,a,6315,a(flip),b,6326,a),flip(a)]. 6328 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(6316,a,6324,a)]. 6329 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(262,a,2097,a(flip),b,6328,a)]. 6330 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(5084(a,1),6311(a,2,1))]. 6331 K(x,K(y,R(z,u,w)) * K(z,y)) = K(x,K(y,z) * K(z,R(y,u,w))). [hyper(33,a,2097,a(flip),b,6329,a)]. 6332 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(262,a,6303,a(flip),b,6330,a),flip(a)]. 6333 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(4422(a,1),6332(a,1,2,2))]. 6334 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(262,a,6308,a,b,6333,a)]. 6335 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(3830(a,1),6323(a,1,2,2,2))]. 6336 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(2551,a,6335,a)]. 6337 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(3830(a,1),6336(a,1,1))]. 6338 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(v5,K(y,x)) * K(v5,K(y,R(w,z,u))). [para(5012(a,1),6321(a,2,2))]. 6339 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(262,a,6318,a(flip),b,6338,a),flip(a)]. 6340 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(4949(a,1),6339(a,1,1,2))]. 6341 T(x / R(y * K(z,y),u,y),T(R((z * y) / z,w,y),y)) = ((R((z * y) / z,w,y) \ y) \ y) \ x. [para(5646(a,2),5647(a,1,1,2))]. 6342 T((x / R(y,z,y)) * K(y,u),T(R((u * y) / u,w,y),y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [para(3328(a,1),6341(a,1,1))]. 6343 T((x / R(y,z,y)) * K(y,u),R(T((u * y) / u,y),w,y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [para(27(a,2),6342(a,1,2))]. 6344 T((x / R(y,z,y)) * K(y,u),R((u * y) / u,w,y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [para(209(a,1),6343(a,1,2,1))]. 6345 T((x / R(y,z,y)) * K(y,u),R(u / (u / y),w,y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [hyper(62,a,4466,a(flip),b,6344,a)]. 6346 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,w,y) \ y) \ y) \ x. [hyper(62,a,5616,a(flip),b,6345,a)]. 6348 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,w,y)) * y). [hyper(62,a,4636,a(flip),b,6346,a),flip(a)]. 6349 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,w,y) \ u)). [para(1283(a,1),6348(a,2,2))]. 6350 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,w,y) \ u)). [hyper(262,a,2568,a(flip),b,6349,a),flip(a)]. 6351 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,w,x) \ u)). [para(5645(a,1),6350(a,1,1,1))]. 6352 R(x * K(y,x),z,x) \ u = T(x,y) * (x \ (R(x,w,x) \ u)). [para(5646(a,2),6351(a,1,1))]. 6353 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,v5,x) \ u) = w. [para(6352(a,2),2291(a,1))]. 6354 (x * L(y,z,y)) / T(T(x,y),L(T(y,x),u,w)) = T(y,x * y) * a(w,u,K(T(x,y),T(y,x * y))). [para(1334(a,1),6126(a,1,2))]. 6355 (x * L(y,z,y)) / T(T(x,L(y,u,w)),y) = T(y,x * y) * a(w,u,K(T(x,y),T(y,x * y))). [para(1202(a,1),6354(a,1,2))]. 6356 (x * L(y,z,y)) / T(T(x,y),L(y,u,w)) = T(y,x * y) * a(w,u,K(T(x,y),T(y,x * y))). [para(23(a,1),6355(a,1,2))]. 6357 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(L(x,u,z),y) * L(x,w,x). [hyper(62,a,3525,a(flip),b,6356,a),flip(a)]. 6358 T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = K(x,L(y,u,z)) * L(x,w,x). [para(6063(a,1),6357(a,2,1))]. 6359 L(T(x,L(y,z,u)),w,x) = T(x,y * x) * a(u,z,K(T(y,x),T(x,y * x))). [hyper(262,a,2589,a,b,6358,a)]. 6360 L(T(x,L(y,z,u)),w,x) = T(x,y * x) * a(u,z,K(T(y,x),T(x,y))). [para(1410(a,1),6359(a,2,2,3))]. 6361 L(T(x,L(y,z,u)),w,x) = T(x,y * x) * a(u,z,K(y,x)). [para(2043(a,1),6360(a,2,2,3))]. 6362 L(T(x,L(y,z,u)),w,x) = L(K(y * x,x),z,u) \ T(x,K(y * x,x)). [hyper(262,a,6173,a,b,6361,a),flip(a)]. 6363 L(T(x,L(y,z,u)),w,x) = K(y * x,L(x,z,u)) \ T(x,K(y * x,x)). [para(6039(a,1),6362(a,2,1))]. 6364 L(T(x,L(y,z,u)),w,x) = K(y * x,L(x,z,u)) \ x. [para(2134(a,1),6363(a,2,2))]. 6365 L(T(x,L(y,z,u)),w,x) = K(L(x,z,u),y * x) * x. [hyper(262,a,2389,a(flip),b,6364,a),flip(a)]. 6366 L(T(x,L(y,z,u)),w,x) = K(x,L(y * x,z,u)) * x. [para(6063(a,1),6365(a,2,1))]. 6367 L(T(x,L(y,z,u)),w,x) = T(x,L(y * x,z,u)). [hyper(262,a,2102,a,b,6366,a),flip(a)]. 6369 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(62,a,6111,a,b,6367,a)]. 6370 (x \ 1) * (x * (y * K(z,y \ (x \ ((x \ 1) \ (u \ L(y,x,x \ 1))))))) = K(u,z) * ((x \ 1) * (x * y)). [para(6099(a,1),6164(a,1,2))]. 6371 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(9(a,1),6293(a,2,1,1))]. 6372 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(262,a,4477,a(flip),b,6371,a),flip(a)]. 6374 K(R(x,y,z),R(x / u,u,K(w,x)) \ (w \ (w * x))) = K(R(x,y,z),u). [para(9(a,1),6372(a,1,1,1))]. 6375 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(9(a,1),6374(a,1,2,2))]. 6376 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(2721(a,1),6375(a,1,2,1,3))]. 6377 T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). [para(6200(a,1),6209(a,1,2,1,1))]. 6378 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(62,a,4696,a(flip),b,6377,a),flip(a)]. 6379 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(4417,a,6378,a),flip(a)]. 6380 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(4020,a,6379,a)]. 6381 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(5309,a,6380,a),flip(a)]. 6382 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(6381(a,1),5002(a,1,1))]. 6383 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(62,a,5308,a(flip),b,6382,a)]. 6384 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(5430,a,6383,a),flip(a)]. 6385 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(62,a,5135,a(flip),b,6384,a),flip(a)]. 6386 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(20(a,2),6385(a,1,2,1)),flip(a)]. 6387 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(490(a,1),6386(a,2,2,1))]. 6388 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(2034(a,1),6386(a,1,1)),flip(a)]. 6389 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(3652(a,1),6386(a,1,1))]. 6390 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5397(a,1),6386(a,1,1)),flip(a)]. 6391 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(262,a,5076,a(flip),b,6390,a),flip(a)]. 6392 R(K(x,x * y),y,z) = K(x,R(y \ 1,y,u) \ x). [hyper(262,a,5076,a,b,6391,a)]. 6393 R(K(x,x * y),y,z) = K(x,R(1 / y,y,u) \ x). [hyper(262,a,1438,a,b,6392,a),flip(a)]. 6394 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(6388(a,1),6389(a,1,1)),flip(a)]. 6395 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(230(a,1),6387(a,1,1,2,1,1))]. 6396 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(6391(a,1),6395(a,1,1))]. 6397 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(262,a,5398,a(flip),b,6396,a),flip(a)]. 6399 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(20(a,2),6397(a,2,2,2))]. 6400 (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(2389(a,1),5587(a,1,1,2,2))]. 6401 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(5009(a,1),6266(a,1,1,1,2))]. 6402 (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(2281(a,1),6400(a,1,1,2))]. 6403 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5983(a,1),6402(a,1,2))]. 6404 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(5454(a,1),6403(a,1,2))]. 6406 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(2389(a,1),6404(a,2,2,1,1))]. 6407 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(3885(a,1),6406(a,2,2,1))]. 6408 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(3795(a,2),6407(a,2,2))]. 6409 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(12(a,1),6408(a,2,2,1))]. 6410 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),L(K(z,y),u,x)) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(6409(a,1),3773(a,1,1,2))]. 6411 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(6337(a,1),6401(a,1,1,1))]. 6412 (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(242(a,1),5463(a,1,1))]. 6413 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(262,a,3325,a(flip),b,6412,a),flip(a)]. 6416 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [hyper(119,a,6413,a)]. 6417 (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(6416(a,1),4881(a,1,1))]. 6418 (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(2843(a,1),6417(a,1,2))]. 6419 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1356,a,6418,a)]. 6420 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(262,a,2389,a(flip),b,6419,a),flip(a)]. 6421 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(62,a,3586,a,b,6420,a)]. 6422 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(2596,a,6421,a),flip(a)]. 6423 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(4039,a,6422,a),flip(a)]. 6425 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(4030,a,6423,a),flip(a)]. 6427 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(6425(a,1),5203(a,1,1))]. 6428 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(2477,a,6427,a)]. 6429 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(5166(a,1),6427(a,1,2,2))]. 6430 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(6428(a,1),5140(a,1))]. 6431 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(5142(a,1),6429(a,1,2))]. 6432 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(2413,a,6431,a),flip(a)]. 6433 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(6430,a,6432,a)]. 6435 (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(18(a,2),1620(a,2,2,1,1))]. 6436 (x * y) \ (x * ((y * z) * L((y * z) \ y,u,w))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(1122(a,1),6435(a,1,2))]. 6437 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(842(a,1),6436(a,1,2,2))]. 6438 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(411,a,6437,a),flip(a)]. 6440 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(721(a,1),6438(a,2,1,2))]. 6441 L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). [para(4602(a,1),6438(a,1,1))]. 6442 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1484(a,1),6440(a,1,2))]. 6443 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(224(a,1),6442(a,2,1,2))]. 6444 L(K(x,x \ 1),y,z) = L(u,y,z) * ((1 / u) * (L(u,y,z) \ u)). [para(298(a,2),6443(a,2,1)),flip(a)]. 6445 L(x,y,z) \ K(u,L(u,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(104,a,5215,a(flip),b,6444,a(flip))]. 6447 (1 / x) \ (1 / L(x,y,z)) = L(x,y,z) \ x. [hyper(104,a,2808,a(flip),b,6445,a(flip))]. 6448 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(62,a,1040,a(flip),b,6447,a)]. 6449 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(119,a,6448,a)]. 6450 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(262,a,3340,a,b,6449,a)]. 6451 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(1829,a,6450,a)]. 6452 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [hyper(275,a,6451,a)]. 6453 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [para(681(a,1),6452(a,1,2))]. 6454 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(6452(a,1),2092(a,2,1)),flip(a)]. 6455 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(6453(a,2),5945(a,1,1))]. 6456 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(262,a,3843,a,b,6454,a),flip(a)]. 6457 (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(6454(a,2),4057(a,1))]. 6458 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(6455(a,1),6291(a,1,2))]. 6459 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(62,a,1048,a(flip),b,6458,a)]. 6460 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(262,a,4492,a(flip),b,6459,a),flip(a)]. 6461 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [hyper(151,a,6460,a)]. 6462 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(62,a,3303,a(flip),b,6460,a),flip(a)]. 6463 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(6461(a,1),1584(a,1,2,1))]. 6464 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(262,a,4492,a(flip),b,6463,a),flip(a)]. 6465 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(6462(a,1),6464(a,1,1))]. 6466 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(62,a,4176,a,b,6465,a)]. 6467 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(3039(a,1),6466(a,1,1))]. 6468 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(62,a,3304,a(flip),b,6467,a),flip(a)]. 6469 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(62,a,4608,a(flip),b,6468,a)]. 6470 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [hyper(151,a,6469,a)]. 6471 T(((x * y) \ x) \ 1,z) = ((x * T(y,z)) \ x) \ 1. [para(6470(a,1),677(a,1,1)),flip(a)]. 6472 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(6471(a,2),5283(a,1,2,1))]. 6473 K(x,T((((y * z) \ y) \ 1) \ x,u)) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [hyper(5325,a,6472,a)]. 6474 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). [para(4602(a,1),6441(a,1,2,1,1)),flip(a)]. 6475 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,w). [hyper(262,a,6438,a(flip),b,6474,a),flip(a)]. 6477 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1343(a,1),6475(a,2,1))]. 6478 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1343(a,1),6477(a,1,1))]. 6479 a(x,T(y,z),K(u,y \ L(y,w,v5))) * K(u,L(y \ L(y,w,v5),y,x)) = K(u,y \ L(y,w,v5)). [para(6478(a,1),6059(a,1,2,2))]. 6480 a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). [para(6139(a,1),6479(a,1,1))]. 6481 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(5741(a,1),6480(a,1,1))]. 6482 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(106,a,6481,a)]. 6484 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(62,a,3332,a(flip),b,6482,a)]. 6486 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(6484(a,1),2097(a,2,2)),flip(a)]. 6488 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(2101,a,6486,a),flip(a)]. 6489 T(x,x * (y \ L(y,z,u))) = L(T(x,a(u,z,y) \ 1),w,x). [para(6488(a,2),628(a,1,1)),flip(a)]. 6490 L(T(x,a(y,z,u) \ 1),w,x) = x * a(y,z,K(u,x)). [hyper(62,a,6189,a(flip),b,6489,a),flip(a)]. 6491 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(62,a,1683,a(flip),b,6490,a)]. 6492 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(2223,a,6491,a),flip(a)]. 6493 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(6491(a,2),6110(a,1,1))]. 6494 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(6491(a,2),6369(a,1,1))]. 6495 a(x,y,K(z,L(u,w,v5))) = L(K(a(x,y,z),u),w,v5). [hyper(262,a,6039,a,b,6492,a),flip(a)]. 6496 (x / y) * a(z,u,K(w,y)) = x / T(y,a(z,u,w)). [para(6492(a,2),2912(a,1,2))]. 6497 a(x,y,K(z,(x * y) * z)) * (a(x,y,z) \ ((x * y) * z)) = x * (y * z). [para(6492(a,2),2306(a,1,1))]. 6498 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(389,a,6493,a)]. 6499 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (1 / u))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(1338(a,1),6498(a,1,1))]. 6500 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(6492(a,2),6495(a,2,1))]. 6501 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(389,a,6494,a)]. 6502 a(x,y,K(z,x * y)) * (a(x,y,z) \ ((x * y) * z)) = x * (y * z). [para(2132(a,1),6497(a,1,1,3))]. 6503 T(T(x,y * (z * (u \ 1))),a(w,v5,y * (z * (u \ 1))) \ x) = T(x,L(y * (z * (1 / u)),v5,w)). [para(230(a,1),6499(a,1,2,1,3,2,2))]. 6504 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(62,a,6498,a(flip),b,6503,a),flip(a)]. 6505 (((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(20(a,2),1736(a,2,2,1,1))]. 6506 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1705(a,1),6505(a,1,1))]. 6507 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1719(a,1),6506(a,1,1,1))]. 6508 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(470,a,6507,a),flip(a)]. 6509 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(721(a,1),6508(a,2,1,2))]. 6510 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1373(a,1),6509(a,1,2))]. 6511 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(224(a,1),6510(a,2,1,2))]. 6512 R(K(x,x \ 1),y,z) = R(u,y,z) * ((1 / u) * (R(u,y,z) \ u)). [para(298(a,2),6511(a,2,1)),flip(a)]. 6513 K(x,x \ 1) = R(y,z,u) * ((1 / y) * (R(y,z,u) \ y)). [hyper(62,a,909,a(flip),b,6512,a)]. 6515 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(302,a,6513,a),flip(a)]. 6518 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(6515(a,1),266(a,1,2))]. 6519 (x \ 1) \ (R(x,y,z) \ 1) != u | R(x,y,z) \ x = u. [para(1040(a,1),6518(a,1))]. 6520 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(6519,a,5198,a),flip(a)]. 6521 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(5139(a,1),6520(a,1,1)),flip(a)]. 6522 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(2750(a,1),6521(a,2,1))]. 6523 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(4641(a,1),6522(a,1,1))]. 6524 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(5152(a,1),6523(a,2,1))]. 6525 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(62,a,6521,a(flip),b,6524,a)]. 6526 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(6433(a,1),6525(a,1,1)),flip(a)]. 6527 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(47,a,6526,a)]. 6529 (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(262,a,4433,a,b,6527,a)]. 6531 (x * L(R(T(y,x),z,u),w,y)) \ (x * R(T(y,x),z,u)) = a(R(T(y,x),z,u),T(y,x) \ x,T(y,x)). [para(915(a,1),6529(a,1,1,2))]. 6532 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),w,x) * y) \ (y * R(T(x,y),z,u)). [para(549(a,1),6531(a,1,1)),flip(a)]. 6533 a(R(T(x,y),z,u),T(x,y) \ y,T(x,y)) = (L(R(x,z,u),w,x) * y) \ (R(x,z,u) * y). [para(180(a,1),6532(a,2,2))]. 6534 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(262,a,1388,a(flip),b,6533,a),flip(a)]. 6535 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(27(a,2),6534(a,2,3))]. 6536 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(62,a,6527,a(flip),b,6535,a)]. 6537 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(62,a,6433,a(flip),b,6536,a)]. 6539 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(62,a,5186,a(flip),b,6537,a),flip(a)]. 6541 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(62,a,6257,a,b,6539,a)]. 6542 a(x,x \ y,R(x,z,u)) = a(w,v5,w). [hyper(4549,a,6541,a),flip(a)]. 6544 a(x,y,R(x,z,u)) = a(w,v5,w). [para(9(a,1),6542(a,1,2))]. 6545 a(x,y,R(x,z,u)) = a(w,v5,R(w,v6,v7)). [hyper(262,a,6544,a,b,6544,a)]. 6547 x * a(y,z,R(y,u,w)) = x * a(v5,v6,v5). [hyper(57,a,6544,a)]. 6565 K(x,R(x,y,z) \ u) = a(w,v5,R(w,v6,v7)) * K(x,u). [para(6545(a,1),5160(a,1,1)),flip(a)]. 6569 K(x,R(x,y,z) \ u) = K(x,u) * a(w,x \ u,R(w,v5,v6)). [hyper(262,a,5972,a(flip),b,6565,a),flip(a)]. 6571 K(x,R(x,y,z) \ u) = K(x,u) * a(w,v5,w). [hyper(262,a,6547,a(flip),b,6569,a),flip(a)]. 6573 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(262,a,2479,a,b,6571,a),flip(a)]. 6574 K(x,x \ ((x * R(T(x,y),z,u)) / w)) = K(x,w \ x). [hyper(5956,a,6573,a),flip(a)]. 6575 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(456(a,1),6573(a,1,2)),flip(a)]. 6576 K(x,(x \ y) * z) = K(x,y * z). [hyper(2248,a,6575,a),flip(a)]. 6577 T(x,(x \ y) * z) = x * K(x,y * z). [para(6576(a,1),2097(a,2,2))]. 6578 T(x,(x \ y) * z) = T(x,y * z). [hyper(262,a,2097,a,b,6577,a),flip(a)]. 6579 K(x,R(T(x,y),z,u) / w) = K(x,w \ x). [hyper(62,a,5413,a(flip),b,6574,a)]. 6580 (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(262,a,465,a(flip),b,4751,a),flip(a)]. 6581 (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(62,a,1618,a(flip),b,6580,a)]. 6582 (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(3400(a,1),6581(a,1,1,2,1))]. 6583 (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(3579(a,1),6582(a,1,1,2,1))]. 6584 (R(T(x,y),z,u) * K(x,w)) * v5 = (K(x,w) * R(T(x,y),z,u)) * v5. [para(3950(a,1),6583(a,1,1,2,1)),flip(a)]. 6585 (K(x,y) * R(T(x,z),u,w)) * v5 = R(T(x,z),u,w) * (K(x,y) * v5). [hyper(62,a,2245,a(flip),b,6584,a),flip(a)]. 6587 (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(6585(a,1),1376(a,2,1,2)),flip(a)]. 6588 (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(2389(a,1),6587(a,1,1))]. 6589 (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(4669(a,1),6588(a,1,1))]. 6590 R(K(x,y),R(T(x,z),u,w),v5) = K(x,y). [hyper(278,a,6589,a)]. 6593 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,R(T(x,y),z,u) / w). [hyper(62,a,4950,a(flip),b,6590,a)]. 6594 K(x,R(T(x,y),z,u) * (w \ 1)) = K(x,w \ R(T(x,y),z,u)). [hyper(262,a,3486,a(flip),b,6593,a),flip(a)]. 6595 K(x,y \ R(T(x,z),u,w)) = K(x,R(x,u,w) * (y \ 1)). [hyper(62,a,4937,a(flip),b,6594,a),flip(a)]. 6597 K(x,y \ R(T(x,z),u,w)) = K(x,y \ R(x,u,w)). [hyper(262,a,5449,a(flip),b,6595,a),flip(a)]. 6598 K(x,R(T(x,y),z,u) / w) = K(x,w \ R(x,z,u)). [hyper(4159,a,6597,a)]. 6600 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(62,a,6579,a(flip),b,6598,a),flip(a)]. 6602 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(5539(a,1),5544(a,1,1,2,1,1)),flip(a)]. 6603 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(9(a,1),6602(a,2,1,2,1))]. 6605 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(5539(a,1),6603(a,1,1)),flip(a)]. 6606 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2997(a,1),6605(a,2,2))]. 6607 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(62,a,5670,a,b,6606,a)]. 6608 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(281,a,6607,a)]. 6609 x * (K(y,z) * R(K(z,y),u,u \ 1)) = x / a(K(y,z),u,u \ 1). [para(2411(a,1),6607(a,1,2)),flip(a)]. 6610 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [para(2411(a,1),6609(a,1,2)),flip(a)]. 6611 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(2653,a,6610,a)]. 6612 K(x,a(K(y,z),u,u \ 1)) = 1. [para(6611(a,1),6014(a,1,2))]. 6613 T(x,a(K(y,z),u,u \ 1)) = x. [hyper(55,a,6612,a)]. 6614 T(x,a(K(y,z),u \ 1,u)) = x. [para(231(a,1),6613(a,1,2,3))]. 6615 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(53,a,6614,a)]. 6616 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(262,a,916,a,b,6615,a),flip(a)]. 6617 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(2410(a,2),6616(a,1,1))]. 6618 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(62,a,4657,a,b,6617,a)]. 6619 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(62,a,3422,a,b,6618,a)]. 6620 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(5207,a,6619,a)]. 6621 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(231(a,1),6620(a,1,2,2,2))]. 6622 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(262,a,3843,a,b,6621,a),flip(a)]. 6623 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(6621(a,1),3836(a,1,2)),flip(a)]. 6624 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(486(a,1),6622(a,1,2,2))]. 6625 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(230(a,2),6624(a,1,2,2,2))]. 6626 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(231(a,1),6624(a,1,2,2,2)),flip(a)]. 6627 K(x,K(y,z / u)) * K(x,y / (z * (u \ 1))) = K(x,(z * (u \ 1)) \ y). [para(6624(a,1),4299(a,1,1))]. 6628 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(3689(a,1),6625(a,1,2)),flip(a)]. 6629 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(4068,a,6626,a)]. 6630 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(4057,a,6626,a)]. 6631 K(x,K(T(y,z),z * u)) = K(x,K(y,(u \ 1) \ z)). [para(3430(a,1),6626(a,1,2)),flip(a)]. 6632 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(6628(a,1),3840(a,1,2))]. 6633 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(12(a,1),6629(a,2,2,2))]. 6634 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(4056,a,6633,a)]. 6635 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(62,a,3831,a(flip),b,6634,a)]. 6637 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(6635(a,1),4501(a,1,1))]. 6638 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(6635(a,1),4646(a,1,1))]. 6639 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(3843(a,1),6638(a,1,1))]. 6641 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(62,a,5008,a(flip),b,6639,a)]. 6642 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(74(a,1),6641(a,1,2,2,2))]. 6643 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(3864,a,6637,a)]. 6644 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [para(74(a,1),6637(a,1,2)),flip(a)]. 6646 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(3800(a,1),6643(a,1,1))]. 6647 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(3834(a,1),6644(a,2,1))]. 6648 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(4503,a,6646,a)]. 6649 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [hyper(151,a,6647,a)]. 6650 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(1921(a,1),6648(a,1,1,1,1))]. 6651 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(62,a,2158,a,b,6649,a)]. 6652 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(52,a,6651,a)]. 6653 a(K(x * y,K(z,u)),x,y) = 1. [para(9(a,1),6652(a,1,3))]. 6654 a(K(K(x,y),z),u,u \ z) = 1. [para(2346(a,2),6652(a,1,1))]. 6655 a(K(x,K(y,z * u)),z,u) = 1. [para(3800(a,1),6653(a,1,1))]. 6656 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(262,a,3860,a,b,6654,a),flip(a)]. 6657 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(262,a,3803,a(flip),b,6623,a),flip(a)]. 6658 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(62,a,5087,a(flip),b,6657,a)]. 6659 K(x,K(y,T(z * u,z))) = K(x,K(y,(u \ 1) \ z)). [para(3403(a,1),6631(a,1,2))]. 6661 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(3922(a,1),6658(a,1,2)),flip(a)]. 6662 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(170(a,1),6659(a,1,2,2)),flip(a)]. 6663 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(4069,a,6662,a)]. 6664 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(12(a,1),6662(a,2,2,2))]. 6665 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(6662(a,1),4340(a,1,2,2))]. 6666 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(62,a,5601,a(flip),b,6663,a),flip(a)]. 6667 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(6664(a,1),4341(a,2,2))]. 6669 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(3943(a,1),6661(a,1,2)),flip(a)]. 6670 T(x,K(y,z / (u \ 1))) = T(x,K(y,z * u)). [para(231(a,1),6669(a,1,2,2,2)),flip(a)]. 6671 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [hyper(62,a,4146,a(flip),b,6670,a),flip(a)]. 6672 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(6671(a,1),2191(a,1,1))]. 6673 T(x * y,K(z,L(u,y,x))) = T(x * y,K(z,u)). [hyper(4420,a,6665,a)]. 6674 (x * (y * K(z,u))) / T(x * y,K(z,u)) = L(K(z,u),y,x). [para(6673(a,1),6052(a,1,2))]. 6675 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(6642(a,1),6656(a,2,2))]. 6676 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = T(L(K(z,u),y,x),T(x * y,K(z,u))). [para(6674(a,1),100(a,1,1)),flip(a)]. 6677 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / ((x * (y * K(z,u))) / L(K(z,u),y,x)). [para(6674(a,1),2222(a,1,2,2)),flip(a)]. 6678 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(62,a,3825,a(flip),b,6632,a),flip(a)]. 6679 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(3399(a,2),6678(a,2,1))]. 6680 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(4002(a,1),6679(a,2,1))]. 6681 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(6680(a,2),2912(a,1,1))]. 6682 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(4063,a,6666,a),flip(a)]. 6683 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(4069,a,6682,a)]. 6684 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(2031(a,2),6683(a,2,2))]. 6685 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(3834(a,2),6675(a,2,2))]. 6686 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(2346(a,1),6685(a,1,1))]. 6687 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(262,a,6320,a(flip),b,6686,a)]. 6688 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(262,a,6655,a(flip),b,6687,a),flip(a)]. 6689 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(62,a,6331,a(flip),b,6688,a)]. 6690 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(9(a,1),6689(a,1,2,2,2,3))]. 6691 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(T(K(z,u),x * y),y,x). [hyper(262,a,1181,a(flip),b,6676,a),flip(a)]. 6692 T(x * y,K(z,u)) \ (x * (y * K(z,u))) = L(K(z,T(u,x * y)),y,x). [para(3399(a,2),6691(a,2,1))]. 6693 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(3223(a,2),6650(a,1,1))]. 6694 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(4060,a,6693,a)]. 6695 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(62,a,6630,a(flip),b,6694,a)]. 6696 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(12(a,1),6695(a,1,2,2)),flip(a)]. 6697 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(6696(a,1),4054(a,1))]. 6698 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(18(a,2),6684(a,1,2,2,2)),flip(a)]. 6699 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(3801(a,1),6672(a,1,2,1,2))]. 6700 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(2499(a,1),6699(a,1,2,1,2,2))]. 6701 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(3835(a,1),6700(a,1,2,1,2))]. 6702 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(5027(a,1),6701(a,1,2,1,2))]. 6703 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(2279(a,2),6702(a,1,2,1))]. 6704 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(62,a,2292,a,b,6703,a)]. 6705 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(3859(a,1),6704(a,1,1)),flip(a)]. 6706 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(1555(a,1),6705(a,2,2))]. 6707 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(262,a,3863,a(flip),b,6706,a),flip(a)]. 6708 K(x,y) * (((z * x) / z) * L(u,T(K(x,y),(z * x) / z),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(2980(a,1),3480(a,2,2,1))]. 6709 K(x,y) * (((z * x) / z) * L(u,K(x,y),(z * x) / z)) = ((z * x) / z) * (K(x,y) * u). [para(2676(a,1),6708(a,1,2,2))]. 6712 K(x,y) * (((z * x) / z) * u) = ((z * x) / z) * (K(x,y) * u). [para(3493(a,1),6709(a,1,2,2))]. 6713 ((x * y) / x) * (K(y,z) * u) = T(y,z) * (K(x,y) * u). [hyper(2575,a,6712,a),flip(a)]. 6714 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(2330,a,6713,a)]. 6715 ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(6714(a,1),89(a,1,2,2,1))]. 6716 ((x * y) / x) \ (T(y,z) * (K(z,y) * (K(x,y) * u))) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). [para(5623(a,1),6715(a,1,2,2))]. 6717 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(2407(a,1),6716(a,1,2)),flip(a)]. 6718 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(262,a,2566,a(flip),b,6717,a),flip(a)]. 6720 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(262,a,2383,a(flip),b,6718,a),flip(a)]. 6722 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6714(a,1),6720(a,1,2))]. 6723 L(x,K(y,z) * K(u,z),T(z,u)) != w | x = w. [para(6722(a,1),49(a,2))]. 6724 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(2389(a,1),4571(a,1,1,1))]. 6725 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). [para(9(a,1),5600(a,1,1,1)),flip(a)]. 6726 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). [hyper(262,a,3404,a(flip),b,6725,a),flip(a)]. 6728 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(5022,a,6726,a(flip)),flip(a)]. 6729 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(3539,a,6728,a)]. 6730 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(62,a,4415,a(flip),b,6729,a)]. 6731 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(5026,a,6730,a)]. 6732 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(4025,a,6731,a),flip(a)]. 6734 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(4984,a,6732,a)]. 6735 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(3554,a,6734,a),flip(a)]. 6736 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(62,a,5030,a,b,6735,a)]. 6737 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(62,a,5175,a,b,6736,a)]. 6738 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,R(u,y,z) \ R(x,y,z)). [para(20(a,2),6737(a,2,2,1))]. 6739 K(x,R(y,z,u) \ R(x,z,u)) != w | K(R(x,z,u),y \ x) = w. [para(6738(a,1),5065(a,1))]. 6740 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(6739,a,6600,a)]. 6741 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(62,a,6376,a(flip),b,6740,a),flip(a)]. 6742 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(62,a,6394,a(flip),b,6741,a)]. 6743 R(K(x,y),z,u) = K(R(x,z,u),y). [para(4698(a,1),6742(a,1,1))]. 6747 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(6743(a,1),4977(a,1,1,1,2))]. 6748 K(x,R(y,z,u)) * (R(x,w,x) \ R(x,v5,x)) = R(K(x,y),z,u). [hyper(6353,a,6747,a)]. 6750 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(159,a,6748,a),flip(a)]. 6751 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(6748(a,1),159(a,1))]. 6752 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(62,a,6743,a(flip),b,6750,a)]. 6753 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(62,a,6399,a(flip),b,6750,a),flip(a)]. 6758 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(5121,a,6752,a),flip(a)]. 6761 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(6743(a,1),6751(a,1))]. 6762 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(6761,a,6758,a)]. 6763 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(6261(a,1),6724(a,1,1))]. 6764 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). [hyper(62,a,3034,a(flip),b,6763,a)]. 6766 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). [hyper(62,a,6340,a(flip),b,6764,a)]. 6767 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(62,a,6327,a(flip),b,6766,a),flip(a)]. 6768 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(262,a,6331,a(flip),b,6767,a),flip(a)]. 6769 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(262,a,6690,a(flip),b,6768,a),flip(a)]. 6771 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(62,a,3034,a(flip),b,6769,a)]. 6772 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(6771(a,1),2204(a,1,1))]. 6773 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(6262(a,1),6772(a,1,2))]. 6774 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(106,a,6773,a)]. 6775 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(3842(a,1),6773(a,1,2,1))]. 6776 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(2397,a,6774,a)]. 6777 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(6774(a,1),4659(a,1,1)),flip(a)]. 6778 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(4919(a,1),6774(a,1,2))]. 6779 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(5034(a,1),6774(a,1,2))]. 6780 (x * K(y,z)) * R(K(z,y),u,w) = x * a(K(z,y),u,w). [para(6774(a,1),5537(a,2,2))]. 6781 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(6774(a,1),6334(a,2,2))]. 6783 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(6774(a,1),6608(a,1,1,2))]. 6784 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(6750(a,1),6774(a,1,2))]. 6785 (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(6776(a,1),4708(a,1,1)),flip(a)]. 6786 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [para(6784(a,1),5560(a,1,1)),flip(a)]. 6788 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(62,a,6784,a(flip),b,6779,a),flip(a)]. 6789 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(2397,a,6777,a)]. 6790 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [hyper(62,a,4249,a,b,6780,a)]. 6791 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(6774(a,1),6783(a,1,2))]. 6793 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(104,a,99,a(flip),b,6791,a)]. 6794 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(6786(a,1),6411(a,1,1,1))]. 6795 R(K(x,y),z,u) * L(w,v5,w) = K(x,x * y) * (a(K(x,y),z,u) * w). [hyper(62,a,5577,a,b,6789,a),flip(a)]. 6796 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [para(2499(a,1),6778(a,2,1))]. 6797 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [hyper(62,a,6778,a(flip),b,6796,a)]. 6798 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [para(231(a,1),6797(a,1,1,2)),flip(a)]. 6799 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(6752(a,1),6797(a,2,1))]. 6800 a(K(x * y,y),z,u) = a(K(x,y),z,u). [para(2497(a,1),6798(a,1,1)),flip(a)]. 6801 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(5867(a,2),6798(a,2,1)),flip(a)]. 6802 a(K(x * y,x),z,u) = a(K(y,x),z,u). [para(2022(a,1),6800(a,1,1))]. 6803 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(10(a,1),6802(a,1,1,1)),flip(a)]. 6804 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(5008(a,1),6775(a,1,2,2))]. 6805 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(6337(a,1),6804(a,1,2))]. 6806 R(K(x,y),z,u) * L(x,w,x) = K(x,x * y) * (x * a(K(x,y),z,u)). [para(4396(a,1),6795(a,2,2))]. 6807 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,w,x). [hyper(262,a,2107,a(flip),b,6806,a)]. 6808 L(x * R(K(x,y),z,u),w,x) = T(x,x * y) * a(K(x,y),z,u). [hyper(262,a,5127,a,b,6807,a)]. 6809 L(x * K(x,R(y,z,u)),w,x) = T(x,x * y) * a(K(x,y),z,u). [para(6750(a,1),6808(a,1,1,2))]. 6810 L(T(x,R(y,z,u)),w,x) = T(x,x * y) * a(K(x,y),z,u). [para(2097(a,2),6809(a,1,1))]. 6811 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(4963(a,1),6801(a,2,1))]. 6812 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(262,a,6798,a(flip),b,6811,a),flip(a)]. 6813 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(5867(a,1),6812(a,1,1))]. 6814 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(6752(a,1),6813(a,2,1))]. 6815 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(262,a,6790,a(flip),b,6785,a),flip(a)]. 6816 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(459(a,1),6794(a,1,1)),flip(a)]. 6817 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(262,a,4398,a(flip),b,6816,a),flip(a)]. 6818 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(3801(a,1),6817(a,1,2,1,1))]. 6819 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(5009(a,1),6818(a,1,2,1))]. 6820 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(2102(a,2),6819(a,1,2))]. 6821 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(62,a,5088,a,b,6820,a)]. 6822 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(3837(a,1),6821(a,1,1))]. 6823 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(6317,a,6822,a)]. 6824 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(62,a,6781,a(flip),b,6823,a),flip(a)]. 6825 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(33,a,2097,a(flip),b,6824,a),flip(a)]. 6826 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(62,a,6786,a,b,6825,a)]. 6827 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(6826(a,1),6805(a,1,2))]. 6828 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(106,a,6827,a),flip(a)]. 6829 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(262,a,6825,a,b,6828,a),flip(a)]. 6830 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(3830(a,1),6828(a,1,1))]. 6831 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(3830(a,1),6829(a,1,1))]. 6832 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(6788(a,2),6829(a,2,1)),flip(a)]. 6833 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(62,a,6831,a,b,6832,a)]. 6834 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(2263(a,1),5193(a,1,1))]. 6835 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(2263(a,1),6834(a,1,2,1,1)),flip(a)]. 6836 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(2325(a,1),6835(a,2,2,1))]. 6837 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(4919(a,1),6836(a,2,2))]. 6838 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(2060(a,1),6837(a,1,1,1)),flip(a)]. 6839 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(4919(a,1),6838(a,2,1,2))]. 6840 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(62,a,6778,a(flip),b,6839,a),flip(a)]. 6841 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(262,a,6799,a(flip),b,6840,a),flip(a)]. 6842 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(6796(a,1),6841(a,1,1)),flip(a)]. 6843 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = T(x * y,K(z,u)) / (x * y). [para(149(a,1),6677(a,2,2))]. 6844 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(x * y,K(z,u)). [hyper(262,a,2093,a,b,6843,a),flip(a)]. 6846 K(T(x * y,K(z,u)),T(x * y,K(z,u)) \ (x * (y * K(z,u)))) = K(z,K(u,x * y)). [hyper(262,a,3834,a,b,6844,a),flip(a)]. 6847 K(T(x * y,K(z,u)),L(K(z,T(u,x * y)),y,x)) = K(z,K(u,x * y)). [para(6692(a,1),6846(a,1,2))]. 6848 K(T(x * y,K(z,u)),K(z,L(T(u,x * y),y,x))) = K(z,K(u,x * y)). [hyper(4338,a,6847,a)]. 6849 K(x,K(T(y * z,K(x,u)),L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(4056,a,6848,a)]. 6850 K(x,K(y * z,L(T(u,y * z),z,y))) = K(x,K(u,y * z)). [hyper(4230,a,6849,a)]. 6851 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(2037(a,1),6850(a,1,2))]. 6852 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * ((x * (1 / (1 / z))) / x)). [para(829(a,1),4662(a,1,2,1)),flip(a)]. 6854 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((1 / z) * (1 / (1 / ((x * z) / x)))). [para(927(a,1),6852(a,2,2,2))]. 6855 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(3143(a,1),5667(a,1,2,1))]. 6856 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(1531(a,1),6855(a,1,2,2)),flip(a)]. 6857 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(4132(a,1),6856(a,2,2))]. 6858 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(9(a,1),6857(a,2,2,1))]. 6859 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(5759(a,1),6858(a,1,1,2))]. 6860 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(5041(a,1),6859(a,1,1))]. 6862 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(5759(a,1),6860(a,1,2,1))]. 6863 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(537(a,1),6862(a,1,2,2))]. 6864 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(3559(a,1),6863(a,1,2))]. 6865 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(5505(a,1),6864(a,1,2)),flip(a)]. 6866 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(262,a,3798,a,b,6865,a),flip(a)]. 6868 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(4872,a,6866,a),flip(a)]. 6869 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(6779(a,1),6868(a,1,1))]. 6870 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(262,a,4456,a(flip),b,3638,a),flip(a)]. 6871 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(262,a,3834,a(flip),b,6870,a),flip(a)]. 6872 K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ z,z \ (z / (((x \ z) \ 1) \ 1))),u) = K(((z \ (z / (x \ z))) * (x \ z)) \ (z / (((x \ z) \ 1) \ 1)),u). [para(1673(a,1),2895(a,1,1,1,2))]. 6873 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(262,a,9,a(flip),b,6263,a),flip(a)]. 6875 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(6261(a,1),6873(a,1,3))]. 6877 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(6774(a,1),6875(a,1,3))]. 6878 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [hyper(1381,a,6877,a),flip(a)]. 6879 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(62,a,6815,a(flip),b,6878,a),flip(a)]. 6880 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(2383(a,1),6879(a,1,2))]. 6881 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(3919(a,1),6880(a,1,1,1)),flip(a)]. 6882 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(182,a,6881,a),flip(a)]. 6883 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(262,a,6869,a(flip),b,6882,a)]. 6884 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(140(a,1),6883(a,2,1,2))]. 6885 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(62,a,4698,a,b,6884,a)]. 6886 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(12(a,1),6884(a,1,1))]. 6887 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(3724,a,6886,a)]. 6888 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(62,a,5811,a(flip),b,6887,a)]. 6889 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [para(2165(a,1),6888(a,2,1))]. 6890 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(62,a,2133,a(flip),b,6889,a),flip(a)]. 6891 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(6890(a,1),6830(a,2,2))]. 6892 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(62,a,6833,a(flip),b,6891,a),flip(a)]. 6893 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(62,a,5415,a,b,6892,a)]. 6894 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(3834(a,2),6893(a,2,1))]. 6895 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(5633,a,6894,a)]. 6896 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(62,a,5136,a(flip),b,6895,a)]. 6897 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(3843(a,1),6896(a,2,1))]. 6898 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(5829(a,1),6897(a,2,1,2))]. 6899 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(5137,a,6898,a)]. 6902 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(62,a,5154,a(flip),b,6899,a)]. 6904 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(6884(a,1),6885(a,1,1))]. 6905 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(62,a,6842,a,b,6904,a)]. 6906 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(62,a,6814,a(flip),b,6905,a)]. 6907 ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). [para(6039(a,1),6410(a,1,2,2))]. 6908 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(1275(a,1),6872(a,1,1,1))]. 6910 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(97(a,1),6908(a,1,1,1)),flip(a)]. 6911 K(R(x,x \ y,y \ (z * (((z \ x) \ 1) \ 1))),u) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),u). [para(1673(a,1),6910(a,2,1,3,2)),flip(a)]. 6912 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). [para(9(a,1),6911(a,1,1,3)),flip(a)]. 6914 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(231(a,1),6912(a,2,1,3))]. 6915 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(74(a,1),6914(a,1,1,1,1,2))]. 6916 K(((x \ y) * (y \ x)) \ (z * (((z \ y) \ 1) \ 1)),u) = K(R(y,y \ x,x \ y),u). [para(1673(a,1),6915(a,1,1,2))]. 6917 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(62,a,2604,a(flip),b,6916,a)]. 6919 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((T(x,y) * ((x * y) \ y)) \ (x * y),z). [para(22(a,2),6917(a,1,1,1,1)),flip(a)]. 6920 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(4793(a,1),6919(a,2,1,1))]. 6921 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(262,a,3238,a(flip),b,6920,a),flip(a)]. 6922 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(22(a,2),6921(a,1,1,3))]. 6923 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(3403(a,1),6922(a,2,1))]. 6924 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(62,a,3370,a(flip),b,6923,a)]. 6925 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(6924(a,1),4648(a,2,2))]. 6926 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(262,a,88,a(flip),b,6925,a),flip(a)]. 6927 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [hyper(262,a,3469,a(flip),b,6926,a),flip(a)]. 6928 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(98(a,1),6927(a,1,1,2,2,1))]. 6929 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(4144(a,1),6928(a,1,1,2))]. 6930 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(3106(a,1),6929(a,1,1))]. 6931 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(98(a,1),6930(a,1,2,1,1,1))]. 6933 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(6931(a,1),2159(a,1,2)),flip(a)]. 6934 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(262,a,2446,a(flip),b,6933,a),flip(a)]. 6935 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(2087,a,6934,a)]. 6937 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(62,a,4200,a(flip),b,6935,a),flip(a)]. 6938 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(6937(a,2),4202(a,1,1))]. 6939 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(3990(a,1),6938(a,1,1,1))]. 6940 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(3306(a,2),6939(a,1,2,2))]. 6941 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(5997(a,1),6940(a,1,1,1,2))]. 6942 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(255(a,1),6941(a,1,1,1))]. 6944 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(3145(a,1),6942(a,1,1))]. 6945 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(97(a,1),6944(a,1,2,2,2))]. 6946 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(4448(a,1),6945(a,1,2))]. 6947 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(1499(a,1),6946(a,1,2))]. 6948 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(62,a,6219,a(flip),b,6947,a)]. 6949 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(62,a,5473,a(flip),b,6948,a)]. 6950 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(228(a,1),6949(a,1,2)),flip(a)]. 6951 K(x,R(x \ 1,x,y) * z) = K(x,x \ z). [hyper(62,a,6246,a,b,6950,a)]. 6954 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(62,a,6242,a(flip),b,6951,a)]. 6956 K(x \ y,(x \ y) \ z) = K(x \ y,z * (x / y)). [hyper(62,a,5791,a(flip),b,6954,a),flip(a)]. 6957 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(6956(a,1),2041(a,1,2))]. 6958 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(62,a,5869,a,b,6957,a)]. 6959 (x * T(y,K(z,u))) * K(u,K(L(z,y,x),x * (K(z,u) * y))) = T(x * (K(z,u) * y),L(K(u,z),y,x)) * L(K(u,z),y,x). [hyper(62,a,6667,a(flip),b,6907,a)]. 6960 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(L(y,u,x),x * u)). [para(4642(a,1),6959(a,1,2,2)),flip(a)]. 6961 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(x * u,L(y,u,x))). [para(3843(a,1),6960(a,2,2))]. 6963 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(z,K(y,x * u)). [para(6851(a,1),6961(a,2,2))]. 6964 T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(3830(a,1),6963(a,2,2))]. 6965 T(x * (K(y,z) * u),K(z,L(y,u,x))) * L(K(z,y),u,x) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [para(6039(a,1),6964(a,1,1,2))]. 6966 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(z,L(y,u,x))) = (x * T(u,K(y,z))) * K(y,K(z,x * u)). [hyper(62,a,6174,a,b,6965,a)]. 6967 (x * T(y,K(z,u))) * K(z,K(u,x * y)) = T(x * T(y,K(z,u)),K(u,L(z,y,x))). [para(6409(a,1),6966(a,1,1)),flip(a)]. 6968 T(x * T(y,K(z,u)),K(u,L(z,y,x))) != w * v5 | w \ ((x * T(y,K(z,u))) * K(z,K(u,x * y))) = v5. [para(6967(a,1),505(a,1))]. 6969 (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(231(a,1),4668(a,1,2,1,2,2,2,2,1))]. 6970 (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(3830(a,1),6969(a,1,2,1))]. 6971 (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(5475(a,1),6970(a,1,2,1,2))]. 6972 (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(4094(a,1),6971(a,1,2,1,2))]. 6973 (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(3829(a,1),6972(a,1,2,1))]. 6975 (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(231(a,1),6973(a,1,2,2,1,2,1,2,2,2,1))]. 6976 (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(3801(a,1),6975(a,1,2,2,1,2))]. 6977 (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(4676(a,1),6976(a,1,2,2,1,2,2))]. 6978 (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(3429(a,1),6977(a,1,2,2,1,2,2))]. 6980 (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(3814(a,1),6978(a,1,2,2,1,2))]. 6981 (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(2279(a,2),6980(a,1,2,2,1))]. 6982 (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(3573(a,2),6981(a,1,2))]. 6983 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(62,a,3393,a(flip),b,6982,a)]. 6984 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(1555(a,1),6983(a,1,2)),flip(a)]. 6985 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(262,a,3863,a(flip),b,6984,a),flip(a)]. 6986 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1343(a,1),6985(a,1,1)),flip(a)]. 6987 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(62,a,6707,a,b,6986,a)]. 6988 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1343(a,1),6987(a,1,1))]. 6989 (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(6988(a,1),6456(a,1,2))]. 6990 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(6457,a,6989,a),flip(a)]. 6991 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(262,a,3834,a,b,6990,a),flip(a)]. 6992 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(62,a,6696,a(flip),b,6991,a)]. 6993 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(262,a,3830,a,b,6992,a),flip(a)]. 6994 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(6697,a,6993,a)]. 6995 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(62,a,6698,a,b,6994,a)]. 6996 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(262,a,6157,a(flip),b,6995,a),flip(a)]. 6997 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(4066,a,6996,a)]. 6998 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(6996(a,1),4066(a,1))]. 6999 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,2489,a,b,6997,a)]. 7000 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(62,a,6871,a,b,6999,a)]. 7001 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,4207,a(flip),b,7000,a)]. 7002 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(62,a,6902,a(flip),b,7001,a)]. 7003 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(5029(a,1),7002(a,1,1)),flip(a)]. 7004 K(x,K(y * z,a(y,z,u))) = 1. [hyper(262,a,6655,a(flip),b,7003,a),flip(a)]. 7005 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(6998,a,7004,a)]. 7008 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(7005(a,1),4561(a,1,2)),flip(a)]. 7009 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(262,a,8,a(flip),b,7008,a),flip(a)]. 7011 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(62,a,5038,a,b,7009,a)]. 7012 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(6890(a,2),7011(a,1,1))]. 7013 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,6842,a,b,7012,a)]. 7014 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(62,a,6906,a(flip),b,7013,a)]. 7015 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(262,a,2133,a,b,7014,a)]. 7017 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(262,a,6788,a(flip),b,7015,a),flip(a)]. 7018 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(62,a,6160,a(flip),b,7017,a),flip(a)]. 7019 a(x,x,K(y,z)) = 1. [hyper(62,a,2216,a(flip),b,7018,a),flip(a)]. 7020 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(7018(a,1),6793(a,1,1,2))]. 7021 a(x * y,x,K(y,z)) = 1. [hyper(62,a,6080,a(flip),b,7019,a)]. 7022 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(5717,a,7020,a),flip(a)]. 7023 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(7020(a,1),5717(a,1))]. 7025 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(62,a,7018,a(flip),b,7022,a),flip(a)]. 7026 a(x \ y,z,K(u,x)) = a(K(y,x),z,u). [hyper(62,a,6803,a(flip),b,7022,a),flip(a)]. 7027 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(7022(a,1),79(a,1,2))]. 7028 ((K(x,y) * z) * u) / a(x,z,K(u,y)) != w | K(x,y) * (z * u) = w. [para(7022(a,1),279(a,1,2))]. 7029 x * L(a(y,z,K(z \ x,u)),K(y,u) * x,K(u,y)) = K(u,y) * ((K(y,u) * z) * (z \ x)). [para(7022(a,1),2857(a,1,2,1))]. 7030 a(x \ y,y,K(z,u)) = a(z,x,K(u,x \ y)). [hyper(6119,a,7025,a),flip(a)]. 7031 a(x,y * z,K(y,u)) = a(y,z,K(u,x)). [hyper(262,a,6083,a,b,7025,a)]. 7032 (x * a(y,z,K(u,w))) \ x = a(w,z,K(u,y)). [hyper(262,a,5709,a,b,7025,a)]. 7033 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(262,a,6161,a(flip),b,7025,a),flip(a)]. 7034 a(x \ y,z,K(y,u)) = a(u,z,K(y,x)). [hyper(262,a,5737,a(flip),b,7025,a),flip(a)]. 7035 a(x,y * z,K(y,u)) = a(y,z * y,K(u,x)). [hyper(262,a,5724,a(flip),b,7025,a)]. 7036 a(x \ 1,x,K(y,z)) = 1. [hyper(262,a,2944,a(flip),b,7025,a),flip(a)]. 7037 a(x,y \ z,K(y,u)) = a(u,z,K(x,y)). [hyper(62,a,6084,a,b,7025,a)]. 7038 K(x,y) * L(K(y,x),z,u) = a(y,z,K(u,x)). [hyper(62,a,5689,a,b,7025,a)]. 7039 a(x,y,K(z,x * u)) = a(z,y,K(u,x)). [hyper(62,a,5729,a(flip),b,7025,a),flip(a)]. 7040 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(57,a,7025,a)]. 7041 a(x,y,K(z,u)) * w = a(u,y,K(x,z)) * w. [hyper(56,a,7025,a)]. 7042 a(x \ 1,y,K(z,u)) = a(z,y,K(x,u)). [para(2499(a,1),7025(a,1,3)),flip(a)]. 7043 a(x,y,K((z * u) \ w,z)) = a(z,y,K(x,u \ (z \ w))). [para(3274(a,2),7025(a,1,3))]. 7044 a(x,y,K(z,u \ (x \ w))) = a(z,y,K(x,w \ (x * u))). [para(3282(a,1),7025(a,1,3)),flip(a)]. 7045 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(w,z))). [para(3832(a,1),7025(a,1,3))]. 7046 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(7025(a,2),5693(a,1,2))]. 7047 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(7025(a,2),5712(a,1,1))]. 7049 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(7025(a,1),6044(a,1,2))]. 7050 K(L(x,y,z),u) * a(x,y,K(u,z)) = K(x,u). [para(7025(a,2),6074(a,1,2))]. 7051 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(7025(a,1),6079(a,1,1))]. 7052 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(7025(a,2),6079(a,1,1))]. 7053 a(x,y,K(z,u)) * K(z,x) != w | K(z,L(x,y,u)) = w. [para(7025(a,2),6082(a,1,1))]. 7054 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(7025(a,1),6096(a,1,2))]. 7055 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(7025(a,1),6491(a,2,2))]. 7056 L(K(x,y),z,z \ 1) = K(x,y). [hyper(51,a,7036,a)]. 7057 K(x,L(y,z,z \ 1)) = K(x,y). [hyper(6094,a,7056,a)]. 7058 K(L(x,y,y \ 1),z) = K(x,z). [hyper(6077,a,7056,a)]. 7060 K(x,y * (z \ 1)) = K(x,y / z). [hyper(62,a,6053,a(flip),b,7056,a)]. 7061 (1 / x) \ K(y,z) = x * K(y,z). [hyper(104,a,7056,a(flip),b,500,a)]. 7062 T(x,L(y,z,z \ 1)) = x * K(x,y). [para(7056(a,1),6055(a,1,2)),flip(a)]. 7064 K(x,L(y,z,z \ x)) = K(x,y). [hyper(6276,a,7057,a)]. 7065 K(x,L(y,z \ 1,z)) = K(x,y). [para(231(a,1),7057(a,1,2,3))]. 7066 K(x,(1 / y) * z) = K(x,y \ z). [para(529(a,1),7057(a,1,2))]. 7067 K(x,(y \ 1) * z) = K(x,y \ z). [para(542(a,1),7057(a,1,2))]. 7068 K(x,(y \ 1) \ z) = K(x,y * z). [para(541(a,1),7057(a,1,2)),flip(a)]. 7070 K((x \ 1) * y,z) = K(x \ y,z). [para(542(a,1),7058(a,1,1))]. 7071 K((x \ 1) \ y,z) = K(x * y,z). [para(541(a,1),7058(a,1,1)),flip(a)]. 7072 K(x * (y \ 1),z) = K(x / y,z). [para(1301(a,1),7058(a,1,1))]. 7073 K(x,y) * L(x,z,z \ 1) = L(T(x,y),z,z \ 1). [para(7058(a,1),2156(a,1,1))]. 7074 K(x,L(y,z,z \ 1)) = K(x,L(y,u,u \ x)). [hyper(262,a,7057,a,b,7064,a)]. 7075 K(x * y,L(z,x,y)) = K(x * y,z). [para(9(a,1),7064(a,1,2,3))]. 7076 K(x,T(x,y) \ ((y \ x) * z)) = K(x,y \ z). [para(452(a,1),7064(a,1,2))]. 7077 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(530(a,1),7065(a,1,2)),flip(a)]. 7078 a(L(x,y,z),u,K(w,v5)) = K(x,L(a(v5,u,w),y,z)). [hyper(262,a,6063,a(flip),b,7033,a),flip(a)]. 7079 K(a(x,y,z),u) = K(x,a(u,y,z)). [hyper(62,a,6492,a(flip),b,7033,a)]. 7080 K(x,a(y,z,z \ 1)) = 1. [hyper(62,a,2944,a(flip),b,7033,a),flip(a)]. 7081 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(7033(a,2),2097(a,2,2)),flip(a)]. 7082 T(x,a(y,z,u) \ x) \ w = a(x,z,K(u,y)) * (x \ w). [para(7033(a,2),2450(a,2,1))]. 7083 a(x,y,K(z,u)) * (x * w) != v5 | T(x,a(u,y,z)) * w = v5. [para(7033(a,2),2342(a,1,1))]. 7084 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(7033(a,2),2905(a,1,2))]. 7085 x * T(x \ y,a(z,u,w)) = y * a(x \ y,u,K(w,z)). [para(7033(a,2),2915(a,2,2))]. 7087 L(a(x,y,K(z,u)),w,v5) = K(x,L(a(u,y,z),w,v5)). [para(7033(a,2),6039(a,1,1))]. 7088 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(7033(a,1),6161(a,2,2))]. 7089 T(x,a(y,z,z \ 1)) = x. [hyper(55,a,7080,a)]. 7090 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(4177,a,7089,a),flip(a)]. 7092 K(x,y / (z \ 1)) = K(x,y * z). [hyper(3716,a,7060,a),flip(a)]. 7097 (x \ y) * K(y,z) = x \ T(y,z). [hyper(6286,a,7061,a),flip(a)]. 7098 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(262,a,3156,a(flip),b,7061,a),flip(a)]. 7099 (x \ 1) * K(y,z) = x \ K(y,z). [para(74(a,1),7061(a,1,1)),flip(a)]. 7101 K(x,y \ z) != u | K(x,(y \ 1) * z) = u. [para(7066(a,1),3715(a,1))]. 7103 (x \ K(x,y \ z)) * ((y \ 1) * z) = ((y \ 1) * z) * (x \ 1). [para(7067(a,1),2522(a,1,1,2))]. 7104 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(7067(a,1),3717(a,1))]. 7105 K(x,L((y \ 1) \ z,u,w)) = K(L(x,u,w),y * z). [hyper(6097,a,7068,a)]. 7106 a(x,y \ 1,K(z,(y \ 1) \ u)) = a(x,u,K(z,y * u)). [para(7068(a,1),6090(a,1,3)),flip(a)]. 7108 K((x \ 1) * y,z) = K(z,y \ x). [hyper(262,a,3003,a(flip),b,7070,a),flip(a)]. 7109 K(x \ ((x \ 1) \ y),z) = K(y,z). [para(10(a,1),7070(a,1,1)),flip(a)]. 7111 K(x,y \ (z \ 1)) = K(z * y,x). [hyper(3008,a,7071,a)]. 7114 ((x \ 1) \ y) * K(x * y,z) = T((x \ 1) \ y,z). [para(7071(a,1),2097(a,2,2)),flip(a)]. 7115 x \ T(x * y,z) = y * K(x * y,z). [para(7071(a,1),2968(a,2,2))]. 7116 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(7071(a,1),3185(a,1,1,2))]. 7117 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(7071(a,1),5668(a,1,1,2))]. 7118 K(x * (1 / y),z) = K(x / y,z). [hyper(3711,a,7072,a)]. 7119 K(x * (y \ 1),z) = K(z,y / x). [hyper(262,a,2617,a(flip),b,7072,a),flip(a)]. 7120 K(x / (1 / y),z) = K(x * y,z). [para(77(a,1),7072(a,1,1,2)),flip(a)]. 7121 K(x * (y \ 1),z) != u | K(z,y / x) = u. [para(7072(a,2),2622(a,1))]. 7122 (x * K(y,z * u)) \ x = K(z / (u \ 1),y). [para(7092(a,1),2420(a,1,1,2))]. 7123 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [para(2505(a,2),7092(a,1,2,2))]. 7124 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(2430,a,7097,a)]. 7125 (x / y) \ T(x,z) = y * K(x,z). [hyper(574,a,7097,a),flip(a)]. 7127 (x \ T(y,z)) \ (x \ y) = K(z,y). [para(7097(a,1),2420(a,1,1))]. 7129 T(x \ T(y,z),K(y,z)) = K(y,z) * (x \ y). [para(7097(a,1),3886(a,1,1))]. 7130 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(2430,a,7099,a)]. 7135 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(7099(a,1),2420(a,1,1))]. 7136 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(7099(a,1),2436(a,1,1))]. 7137 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(7108(a,2),3037(a,1))]. 7138 K(x,y \ (z \ 1)) != u | K(z * y,x) = u. [para(7108(a,1),3707(a,1))]. 7140 K(x * ((x \ 1) / y),z) = K(z,y). [para(77(a,1),7111(a,1,2)),flip(a)]. 7141 K(x,(y \ 1) / z) = K(z * y,x). [para(231(a,1),7119(a,1,1,2)),flip(a)]. 7142 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(7120(a,1),4758(a,2,2))]. 7143 (T(x,y) / z) \ x = z * K(y,x). [hyper(574,a,7124,a),flip(a)]. 7146 (x / y) * (y * K(x,z)) = T(x,z). [hyper(119,a,7125,a)]. 7149 K(x,y) * (K(y,x) / z) = z \ 1. [hyper(2667,a,7130,a)]. 7150 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(574,a,7130,a),flip(a)]. 7153 a(x * ((x \ 1) / y),z,K(u,w)) = a(w,z,K(u,y)). [para(7140(a,1),7025(a,2,3))]. 7154 a(x,T(y,z),K(u,T(y,z) \ (z \ 1))) = a(x,z \ 1,K(y * z,u)). [para(7141(a,1),6093(a,2,3))]. 7156 x / (y * K(z,x)) = T(x,z) / y. [hyper(156,a,7143,a)]. 7157 T(T(x,y) / z,x) = (z * K(y,x)) \ x. [para(7143(a,1),634(a,2,1))]. 7158 1 / (x * K(y,z)) = K(z,y) / x. [para(7143(a,1),6284(a,1,2))]. 7159 (K(x,y) * z) * (z \ x) = T(x,y). [hyper(6224,a,7146,a)]. 7161 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(104,a,7146,a(flip),b,6223,a)]. 7162 K(x,y) * (z \ 1) = K(x,y) / z. [hyper(2397,a,7149,a)]. 7163 (x \ K(y,z)) \ 1 = K(z,y) * x. [para(74(a,1),7149(a,1,2)),flip(a)]. 7164 (x * K(y,z)) \ 1 = K(z,y) / x. [hyper(234,a,7150,a)]. 7166 T(x,y / x) / (z / (x \ y)) = x / (z / (y / x)). [para(2913(a,1),7156(a,1,2)),flip(a)]. 7170 K(x,y) / (z / T(y,x)) = 1 / (z / y). [para(2903(a,1),7158(a,1,2)),flip(a)]. 7171 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(7158(a,1),4942(a,1,2,1,2,2))]. 7173 K(x,y) * (x / z) = T(x,y) / z. [hyper(299,a,7159,a),flip(a)]. 7175 (K(x,y) * L(x,z,z \ 1)) \ T(x,y) = a(z \ 1,z,x). [hyper(262,a,1145,a(flip),b,7161,a),flip(a)]. 7177 K(x,y) * (1 / z) = K(x,y) / z. [para(230(a,2),7162(a,1,2))]. 7178 a(x,y,K(z,u)) * (w \ 1) = K(a(x,y,z),u) / w. [para(6492(a,2),7162(a,1,1))]. 7179 (K(x,y) * z) \ 1 = z \ K(y,x). [hyper(234,a,7163,a)]. 7180 K(x,y / (z \ K(u,w))) = K(x,y * (K(w,u) * z)). [para(7163(a,1),7060(a,1,2,2)),flip(a)]. 7181 K(x,(y \ K(z,u)) \ w) = K(x,(K(u,z) * y) * w). [para(7163(a,1),7067(a,1,2,1)),flip(a)]. 7182 K((x \ K(y,z)) \ u,w) = K((K(z,y) * x) * u,w). [para(7163(a,1),7070(a,1,1,1)),flip(a)]. 7183 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(7163(a,1),7092(a,1,2,2))]. 7184 K(x,y) / (z \ K(u,w)) = K(x,y) * (K(w,u) * z). [para(7163(a,1),7162(a,1,2)),flip(a)]. 7185 x * (K(y,z) * L(K(y,z) \ (x \ 1),u,w)) = (x * K(y,z)) * L(K(z,y) / x,u,w). [para(7164(a,1),1123(a,1,2,1)),flip(a)]. 7186 T(x / T(y,z),y) \ 1 = K(y,z) / (y \ x). [para(3279(a,2),7164(a,1,1))]. 7187 (x * a(y,z,K(u,w))) \ 1 = K(w,a(y,z,u)) / x. [para(6492(a,2),7164(a,1,1,2))]. 7188 K(x / y,x) * ((x / y) / z) = (y \ x) / z. [para(642(a,1),7173(a,2,1))]. 7190 K(x,y) * (K(z,u) / u) = K(x,y) / T(u,z). [hyper(62,a,2184,a,b,7177,a)]. 7191 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(7177(a,1),170(a,1,1))]. 7192 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(262,a,3000,a(flip),b,7179,a),flip(a)]. 7193 (K(x,y) * z) \ L(K(x,y) * z,u,w) = (z \ K(y,x)) * L(K(x,y) * z,u,w). [para(7179(a,1),1125(a,1,1)),flip(a)]. 7196 T(x,L(y,z,z \ 1)) = T(x,y). [hyper(262,a,2097,a,b,7062,a),flip(a)]. 7197 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(62,a,1277,a(flip),b,7196,a)]. 7199 T(x,y * (z \ 1)) = T(x,y / z). [para(1301(a,1),7196(a,1,2))]. 7201 T(x,(y \ K(z,u)) \ w) = T(x,(K(u,z) * y) * w). [para(7163(a,1),7197(a,1,2,1)),flip(a)]. 7202 T(x,(y \ 1) / z) = T(x,y \ (z \ 1)). [hyper(62,a,7197,a(flip),b,7199,a),flip(a)]. 7203 T(x,y / (1 / z)) = T(x,y * z). [para(77(a,1),7199(a,1,2,2)),flip(a)]. 7205 K(x * y,(y * x) \ z) = K(x * y,x \ (y \ z)). [para(253(a,1),7075(a,1,2))]. 7206 a(x \ y,z,K(u,x)) = a(y,z,K(u,x)). [hyper(262,a,7022,a(flip),b,7026,a),flip(a)]. 7207 a(x,y * z,K(u,y)) = a(y,z,K(x,u)). [hyper(62,a,7025,a(flip),b,7031,a)]. 7208 a(x,y \ z,K(u,y)) = a(x,z,K(u,y)). [hyper(62,a,7025,a(flip),b,7037,a)]. 7209 a(x,L(y \ z,y,u),K(u * y,w)) = a(w,u * z,K(x,u * y)). [para(90(a,2),7037(a,1,2))]. 7210 a(x,y,K(y,z)) * (a(z,y,x) \ ((z * y) * x)) = z * (y * x). [para(7039(a,1),6502(a,1,1))]. 7211 a(x,y,K(z,u)) * K(u,x) != w | K(u,L(x,y,z \ 1)) = w. [para(7042(a,1),6082(a,1,1))]. 7212 x * (y * K(x * y,z)) != u | T(x * y,z) = u. [para(7115(a,1),190(a,1,2)),flip(b)]. 7213 (x * K(y * x,z)) * y = T(x * y,z). [para(7115(a,1),384(a,1,1))]. 7214 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(2062(a,2),7170(a,1,2))]. 7215 a(x * y,z,K(u,x)) = a(y,z,K(u,x)). [para(9(a,1),7206(a,1,1)),flip(a)]. 7216 K(x * a((x \ (y \ x)) \ 1,z,z \ 1),u) = a(w,v5,K(L(v6,v7,v8) * (v6 \ v5),v6)) * K(L(y,z,z \ 1) * (y \ x),u). [para(7208(a,1),5922(a,2,1))]. 7217 (x * K(y,z * x)) * z = T(x * z,y \ 1). [para(2499(a,1),7213(a,1,1,2))]. 7218 (x * K(y * z,u * x)) * u = T(x * u,z \ (y \ 1)). [para(7111(a,1),7213(a,1,1,2))]. 7219 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(7214(a,1),676(a,1,1,1))]. 7220 (x * y) * a(y,z,K(u,x)) = T(x * y,a(x,z,u)). [para(7215(a,1),7081(a,1,2))]. 7221 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(7018(a,1),7023(a,1))]. 7225 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(5656(a,2),7104(a,1))]. 7226 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u \ K(z,y)) * w) = v5. [para(7163(a,1),7104(a,1,2,1))]. 7229 K((K(x,y) * z) * u,w) != v5 | K((z \ K(y,x)) \ u,w) = v5. [para(7163(a,1),7137(a,1,1,1))]. 7232 a(x,y * z,K(y,u)) != w | a(y,z,K(u,x)) = w. [para(6083(a,2),7221(a,1))]. 7233 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(6161(a,1),7221(a,1))]. 7234 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(7025(a,1),7221(a,1))]. 7235 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(7037(a,2),7221(a,1))]. 7237 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(7079(a,2),7233(a,1))]. 7238 a(x,y,K(z,T(u,w))) != v5 | a(w \ (z \ w),y,K(x,u)) = v5. [para(3427(a,1),7234(a,1,3))]. 7243 a(x * y,z,K(y,u)) = (w * a(u,z,K(y,x))) \ w. [para(2132(a,1),7032(a,1,1,2,3)),flip(a)]. 7244 T(x * a(y,z,K(u,w)),v5) \ x = K(v5,x * a(y,z,K(u,w))) * a(w,z,K(u,y)). [para(7032(a,1),2392(a,1,2)),flip(a)]. 7245 T(x * a(y,z,K(u,w)),v5) \ x = x * T(x \ a(w,z,K(u,y)),v5). [para(7032(a,1),3563(a,1,2,1,2)),flip(a)]. 7246 a(x,y * x,K(z,u)) = a(x,y,K(z,u)). [hyper(62,a,7031,a(flip),b,7035,a),flip(a)]. 7247 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [para(6039(a,1),7038(a,1,2))]. 7249 (a(x,y,K(z,u)) * K(w * a(z,y,K(u,x)),v5)) * w = T(a(z,y,K(u,x)) * w,v5). [para(7041(a,1),7213(a,1,1))]. 7250 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(3800(a,1),7045(a,2,3)),flip(a)]. 7251 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(3834(a,1),7045(a,2,3))]. 7252 L(K(x,y),z,K(1 / z,u)) = K(x,y) * 1. [para(3812(a,1),7046(a,1,2)),flip(a)]. 7253 K(x,K(y,z)) * a(y,u,K(K(x,w),z)) = L(K(x,K(y,z)),u,w). [para(7022(a,1),7046(a,1,2))]. 7254 L(K(x,y),z,K(1 / z,u)) != K(x,y) * w | 1 = w. [para(7252(a,2),42(a,1))]. 7255 a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. [para(7047(a,1),119(a,1))]. 7256 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) != v5 | w = v5. [para(7047(a,1),191(a,1,2))]. 7257 x \ (y * (a(z,u,K(w,v5)) * T(a(v5,u,K(w,z)) * (y \ x),v6))) = K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6). [para(7047(a,1),2605(a,1,2,2,2,1))]. 7258 K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. [para(7049(a,1),2412(a,1,2)),flip(b)]. 7259 K(x,y) * a(x,z,K(y,u)) = K(x,L(y,z,u \ 1)). [para(2496(a,1),7049(a,1,2,3))]. 7260 K(x,y) * a(x,z,K(y,u \ w)) = K(x,L(y,z,w \ u)). [para(3003(a,1),7049(a,1,2,3))]. 7261 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(3842(a,1),7049(a,1,2,3))]. 7262 K(x,L(y,z,u)) * a(x,z,K(y,u)) = K(x,y). [para(6063(a,1),7050(a,1,1))]. 7263 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(262,a,6039,a,b,7051,a),flip(a)]. 7264 a(x,y,K(z,u)) * K(x,z) = K(x,L(z,y,u \ 1)). [para(2496(a,1),7051(a,1,1,3))]. 7265 a(x,y,K(z,T(u,w))) * K(x,(z * w) \ w) = K(x,L((z * w) \ w,y,u)). [para(3502(a,1),7051(a,1,1,3))]. 7266 K(x,L(y,z * u,z)) = a(z,u,K(y,x)) * K(x,y). [para(7031(a,1),7051(a,1,1)),flip(a)]. 7268 a(x,y,K(z,u / w)) * K(z,x) = K(z,L(x,y,u / (w * z))). [para(5406(a,1),7052(a,1,1,3))]. 7269 a(x,y,K(z,u * w)) * K(z,x) = K(z,L(x,y,(z \ u) * w)). [para(6576(a,1),7052(a,1,1,3))]. 7270 K(x,L(y,z,L(u,w,w \ 1))) = a(y,z,K(x,u)) * K(x,y). [para(7057(a,1),7052(a,1,1,3)),flip(a)]. 7273 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(7074(a,2),5838(a,1))]. 7274 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(1301(a,1),7273(a,1,2))]. 7275 K(L(x,y,y \ 1),z) != u | K(x,z) = u. [para(6063(a,2),7273(a,1))]. 7276 K(x,(y \ x) * z) = K(x,y \ z). [hyper(3723,a,7076,a)]. 7278 K(x,(y \ x) \ z) = K(x,y * z). [hyper(62,a,3728,a(flip),b,7276,a),flip(a)]. 7279 K(L(x,y,y \ 1),(y \ 1) \ z) = K(L(x,y,y \ 1),(y * x) * z). [para(540(a,1),7276(a,1,2,1)),flip(a)]. 7281 K(x,(y \ x) \ (z \ 1)) = K(x,y / z). [hyper(262,a,7060,a(flip),b,7278,a),flip(a)]. 7282 K(x,T((y \ x) \ z,y \ x)) = K(x,y * T(z,y \ x)). [para(215(a,2),7278(a,1,2))]. 7283 K((x \ y) \ z,y) = (u * K(y,x * z)) \ u. [para(7278(a,1),2420(a,1,1,2)),flip(a)]. 7284 K(x,T((y \ x) \ z,u)) = T(K(x,y * z),u). [para(7278(a,1),3399(a,2,1))]. 7285 K(x,y * T(z,y \ x)) != u | K(x,z / (y \ x)) = u. [para(7278(a,1),4155(a,1))]. 7286 K(x * (y \ z),z) = K(z,y / x). [hyper(7138,a,7281,a)]. 7287 K(x,K(y,z / u)) * K(x,(u * (z \ y)) \ y) = K(x,y / (u * (z \ y))). [para(7286(a,1),4297(a,1,1,2))]. 7288 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(62,a,6473,a(flip),b,7077,a)]. 7289 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(62,a,5657,a(flip),b,7077,a),flip(a)]. 7290 a(x,y,K(z,K(u,w))) = K(u,K(x,a(w,y,z))). [para(3830(a,1),7088(a,1,3))]. 7291 a((x \ y) \ 1,z,z \ 1) \ (y * L(y \ x,z,z \ 1)) = x. [hyper(62,a,1622,a(flip),b,7090,a),flip(a)]. 7292 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(7098(a,1),3159(a,2,1))]. 7293 K(x / (y \ 1),z) != u | K(x * y,z) = u. [para(7122(a,1),2436(a,1))]. 7294 K(x,L((y \ 1) / z,u,w)) != v5 | K(z * y,L(x,u,w)) = v5. [para(6062(a,1),7293(a,1))]. 7295 T(T(x,y) / z,x) = K(x,y) * (z \ x). [hyper(62,a,3960,a(flip),b,7129,a)]. 7296 T(T(x,y) / z,x) \ 1 = (z \ x) \ K(y,x). [para(7295(a,2),7179(a,1,1))]. 7297 T((x / T(y,z)) \ 1,y) = K(y,z) / (y \ x). [hyper(62,a,2505,a,b,7186,a)]. 7298 K(x,y / x) * ((x / y) / z) = (y \ x) / z. [para(2617(a,1),7188(a,1,1))]. 7299 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(7191(a,1),6681(a,1,1))]. 7300 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(7158(a,2),7191(a,1,1))]. 7301 ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). [para(7192(a,1),537(a,2,3))]. 7302 K(x,y) * (K(x,K(y,z)) * K(T(y,z),L(x,u,w))) = a(T(y,z),u,K(w,x)). [hyper(62,a,4624,a,b,7247,a)]. 7303 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(6141,a,7251,a)]. 7304 K(x,(y * z) \ u) * a(x,z,K(z \ (y \ u),y)) = K(x,z \ (y \ u)). [para(253(a,1),7262(a,1,1,2))]. 7305 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(262,a,4238,a(flip),b,7263,a),flip(a)]. 7306 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(7263(a,1),43(a,1))]. 7307 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(7263(a,2),4316(a,1))]. 7308 K((x \ y) \ z,y) = K(x * z,y). [hyper(262,a,2420,a(flip),b,7283,a),flip(a)]. 7309 K(x,y \ (z \ x)) = K(z * y,x). [hyper(3008,a,7308,a)]. 7310 K(x * y,z \ T(x,y)) = K(y * z,x * y). [para(22(a,2),7309(a,1,2,2))]. 7311 K(x,T((y \ x) \ z,u)) != w | K(x,T(y * z,u)) = w. [para(7284(a,2),3543(a,1))]. 7312 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [hyper(62,a,7045,a(flip),b,7290,a)]. 7313 K(x,y) * ((x / y) / z) = (y \ x) / z. [para(2131(a,1),7298(a,1,1))]. 7314 (x / y) \ ((x / y) / z) = (y \ x) \ ((y \ x) / z). [para(7313(a,1),2803(a,1,2)),flip(a)]. 7315 K(x * y,z \ x) = K(y * z,x * y). [hyper(3764,a,7310,a)]. 7316 K(x * y,(y / z) * x) = K(z,(y / z) * x). [hyper(3057,a,7315,a),flip(a)]. 7317 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(7212,a,6061,a),flip(a)]. 7318 L(x,y,z) = (z * (y * x)) / T(z * y,x). [para(7317(a,1),402(a,1,2)),flip(a)]. 7321 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(3923(a,1),7318(a,2,1,2)),flip(a)]. 7322 a(x,x * y,K(z,u)) != w | a(x,y,K(z,u)) = w. [para(7025(a,2),7232(a,1))]. 7327 T(x,y) \ L(T(x,y),z,z \ 1) = x \ L(x,z,z \ 1). [hyper(104,a,7073,a(flip),b,2078,a)]. 7328 (x * y) * a(y,z,K(u,w)) != x * v5 | T(y,a(w,z,u)) = v5. [para(7084(a,2),42(a,1))]. 7329 a(x,y,K(z,L(u,w,v5))) = K(x,L(a(u,y,z),w,v5)). [hyper(62,a,6500,a,b,7087,a)]. 7330 K(x,L((y \ 1) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(7105(a,2),6097(a,1))]. 7331 (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(5336(a,1),7114(a,1,2,1))]. 7332 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(34,a,1894,a(flip),b,7117,a),flip(a)]. 7333 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(7166(a,1),1314(a,1,2)),flip(a)]. 7334 a(x,y,K(z,u)) * (w \ 1) = a(x,y,K(z,u)) / w. [para(6492(a,2),7178(a,2,1))]. 7335 K(x,(K(y,z) * u) * w) * K((u \ K(z,y)) \ w,L(x,v5,v6)) = a((u \ K(z,y)) \ w,v5,K(v6,x)). [para(7181(a,1),7247(a,1,1))]. 7336 K(x,y * ((z \ u) \ K(z,w))) = K(x,y / (T(z,w) \ u)). [para(2392(a,1),7183(a,1,2,2)),flip(a)]. 7337 (x * a(y,z,K(u,w))) \ 1 = a(w,z,K(u,y)) / x. [para(7033(a,2),7187(a,2,1))]. 7338 K(x * y,x \ (y \ z)) = K(x * y,z). [hyper(3725,a,7205,a),flip(a)]. 7339 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7219(a,1),4593(a,1,3,2))]. 7340 T(x * y,a(x,z,u)) = x * T(y,a(x,z,u)). [hyper(62,a,7084,a(flip),b,7220,a),flip(a)]. 7341 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(262,a,7032,a(flip),b,7243,a),flip(a)]. 7342 a(x * y,z,K(u,y)) = (w * a(x,z,K(y,u))) \ w. [para(7341(a,1),5709(a,1,1,2)),flip(a)]. 7343 a(x,y,K(z,u)) * K(z,u) = K(z,L(u,y,x \ 1)). [hyper(62,a,7041,a(flip),b,7264,a)]. 7344 K(x,L(y,z * u,z \ 1)) = a(z,u,K(x,y)) * K(x,y). [para(7207(a,1),7264(a,1,1)),flip(a)]. 7345 K(x,L(y,z * u,z)) = K(x,L(y,u,z)). [hyper(262,a,6079,a(flip),b,7266,a),flip(a)]. 7346 K(x * y,L(z,y,x)) = K(x * y,z). [hyper(5838,a,7345,a),flip(a)]. 7347 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [para(10(a,1),7345(a,1,2,2)),flip(a)]. 7348 K(x,L(y \ z,(y \ u) * y,y \ u)) = K(x,u \ ((u / y) * z)). [para(2686(a,1),7345(a,2,2))]. 7349 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(448(a,1),7347(a,1,2)),flip(a)]. 7350 K(x,L((y * z) \ u,z,L(y \ 1,y,z))) = K(x,z \ (L(y \ 1,y,z) * u)). [para(680(a,1),7349(a,1,2,1,1))]. 7351 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(62,a,2539,a(flip),b,7300,a)]. 7352 K(x,y) * ((1 / z) * K(u,w)) = K(x,y) / (K(w,u) * z). [para(7351(a,1),7177(a,1,2))]. 7353 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(262,a,7078,a,b,7329,a)]. 7354 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(7333(a,2),1491(a,1,1))]. 7355 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(262,a,5709,a(flip),b,7342,a),flip(a)]. 7357 K(x,y) * a(x,z,K(y,u \ w)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(3003(a,1),7054(a,1,2,3))]. 7361 a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. [para(5713(a,1),7256(a,1,2))]. 7362 K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(y,z,K(u,x)) * w = v5. [para(5697(a,2),7361(a,1))]. 7363 a(x,y,K(z,(x * u) \ w)) = a(x,y,K(z,u \ (x \ w))). [hyper(7234,a,7043,a)]. 7364 a(x,y,K(z,u \ (x \ w))) = a(z,y,K(x,w \ u)). [para(5390(a,1),7044(a,2,3))]. 7365 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(x,y \ z,K(y,z \ u)). [hyper(62,a,6191,a,b,7364,a)]. 7366 L(a(x \ (y \ 1),z,K(u,w)),y \ 1,y) = y * (x * T(x \ (y \ 1),a(w,z,u))). [para(7085(a,2),192(a,1,2)),flip(a)]. 7367 a(x,y \ 1,K(z,y * u)) = a(x,u,K(z,y * u)). [para(7068(a,1),7106(a,1,3))]. 7368 K(x,L(y,z \ 1,z * u)) = a(y,u,K(x,z * u)) * K(x,y). [para(7367(a,1),7052(a,1,1)),flip(a)]. 7369 L(T(x,y),z,z \ 1) \ T(x,y) = a(z \ 1,z,x). [para(7073(a,1),7175(a,1,1))]. 7370 a(x \ 1,x,T(y,z)) = a(x \ 1,x,y). [hyper(62,a,1145,a(flip),b,7369,a)]. 7371 a(x \ 1,x,y / z) = a(x \ 1,x,z \ y). [para(100(a,1),7370(a,1,3)),flip(a)]. 7372 T(x * y,(z * u) \ 1) = T(x * y,u \ (z \ 1)). [hyper(62,a,7217,a(flip),b,7218,a)]. 7373 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [hyper(62,a,7259,a(flip),b,7260,a)]. 7374 K(x,L(y,z,u \ (w \ K(w,u)))) = K(x,y) * a(x,z,K(y,u / (w \ 1))). [para(2521(a,1),7260(a,1,2,3,2)),flip(a)]. 7375 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [para(9(a,1),7373(a,1,2,3,1)),flip(a)]. 7376 K(x,L(y,z,u \ T(w,u \ 1))) = K(x,L(y,z,(u / w) \ 1)). [para(1233(a,1),7373(a,1,2,3,1)),flip(a)]. 7377 K(x,L(y,z,L(u \ 1,u,w))) = K(x,L(y,z,u \ 1)). [para(167(a,2),7375(a,1,2,3))]. 7378 K(x,T((y \ x) \ z,y)) = K(x,y * T(z,y \ x)). [hyper(4100,a,7282,a)]. 7379 K(x,y * T(z,y \ x)) = K(x,T(y * z,y)). [hyper(7311,a,7378,a),flip(a)]. 7380 K(x,y * T(z,y \ x)) = K(x,z * y). [hyper(262,a,1426,a(flip),b,7379,a),flip(a)]. 7381 K(x,y / (z \ x)) = K(x,y * z). [hyper(7285,a,7380,a)]. 7382 K(x,y * (x / z)) = K(x,y / z). [para(77(a,1),7381(a,1,2,2)),flip(a)]. 7383 K(x,y / T(z,x)) = K(x,y * (z \ x)). [para(634(a,2),7381(a,1,2,2))]. 7384 K(x,L(y / (z \ x),u,w)) = L(K(x,y * z),u,w). [para(7381(a,1),6039(a,1,1)),flip(a)]. 7385 K(x,K(y * (x / z),u)) = K(K(x,y / z),u). [para(7382(a,1),3801(a,1,1)),flip(a)]. 7386 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [para(7382(a,1),3830(a,1,2)),flip(a)]. 7387 K(x,y * (z \ x)) = K(x,y / z). [hyper(3719,a,7383,a),flip(a)]. 7388 K(x,K(y,z / u)) * K(x,y \ (z * (u \ y))) = K(x,(z * (u \ y)) / y). [para(7387(a,1),4297(a,1,1,2))]. 7389 K(x,K(y * (x / z),u)) = K(x,K(y / z,u)). [hyper(262,a,3801,a(flip),b,7385,a),flip(a)]. 7390 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(262,a,3830,a,b,7386,a),flip(a)]. 7391 K(x,K(y * (x / z),u)) = K(x,K(u,z / y)). [para(2617(a,1),7389(a,2,2))]. 7392 K(x,L(y / (z \ x),u,w)) = K(x,L(y * z,u,w)). [hyper(262,a,6039,a(flip),b,7384,a),flip(a)]. 7393 a(T(x,y),z,z \ 1) = x \ L(x,z,z \ 1). [hyper(62,a,1303,a(flip),b,7327,a)]. 7394 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(262,a,1303,a(flip),b,7393,a),flip(a)]. 7395 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(100(a,1),7394(a,1,1)),flip(a)]. 7396 a((x / y) \ 1,z,z \ 1) = a((y \ x) \ 1,z,z \ 1). [para(2510(a,1),7394(a,1,1)),flip(a)]. 7397 a((x / T(y,z)) \ 1,u,u \ 1) = a(K(y,z) / (y \ x),u,u \ 1). [para(7297(a,1),7394(a,1,1)),flip(a)]. 7398 K(x,y * ((z \ u) \ K(w / v5,z))) = K(x,y / (T(z,v5 / w) \ u)). [para(2617(a,2),7336(a,1,2,2,2))]. 7399 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(262,a,7343,a(flip),b,7344,a),flip(a)]. 7400 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(10(a,1),7399(a,1,2,2)),flip(a)]. 7401 K(x,L((y * z) \ u,z,y \ 1)) = K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)). [para(90(a,1),7399(a,1,2)),flip(a)]. 7402 a(x,y,K(z,T(u,x) \ (x \ w))) = a(x,y,K(z,(u * x) \ w)). [para(98(a,1),7363(a,1,3,2,1)),flip(a)]. 7403 a((x \ (x / y)) \ 1,z,z \ 1) = a((x \ (y \ x)) \ 1,z,z \ 1). [para(656(a,1),7396(a,1,1,1))]. 7404 a(((x * K(y,z)) \ z) \ 1,u,u \ 1) = a((T(z,y) / x) \ 1,u,u \ 1). [para(7156(a,1),7396(a,1,1,1)),flip(a)]. 7405 a(x,y,K(z,u)) * K(x,z) != w | K(x,L(z,y,u \ 1)) = w. [para(7025(a,1),7211(a,1,1))]. 7406 a(x,y,K(z,u)) * K(z,u) != w | K(z,L(u,y,x \ 1)) = w. [para(7025(a,2),7211(a,1,1))]. 7407 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(7225,a,7123,a),flip(a)]. 7408 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(2706,a,7407,a)]. 7409 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(7408(a,1),2102(a,2,1))]. 7410 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(262,a,2102,a,b,7409,a),flip(a)]. 7412 K(x,L(y,z,L(u,w,w \ 1))) = K(x,L(y,z,u)). [hyper(262,a,7052,a(flip),b,7270,a),flip(a)]. 7413 K(x,L(y,z,(u \ 1) * w)) = K(x,L(y,z,u \ w)). [para(542(a,1),7412(a,1,2,3))]. 7414 K(x,L(y,z * u,z \ 1)) != w | K(x,L(y,u,z \ 1)) = w. [para(7344(a,2),7406(a,1))]. 7415 K(x,L(y,z * u,u \ 1)) != w | K(x,L(y,z,u \ 1)) = w. [para(5268(a,2),7414(a,1))]. 7416 1 * (a(x,y,z) \ ((x * y) * z)) = x * (y * z). [para(2939(a,1),7210(a,1,1))]. 7417 1 * T(x * (y * z),a(x,y,z)) = x * (y * z). [para(615(a,2),7416(a,1,2))]. 7419 T(x * (y * z),a(x,y,z)) = x * (y * z). [hyper(106,a,7417,a)]. 7421 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(7419(a,1),210(a,1,2))]. 7423 K(x,K(y,z)) * a(y,u,K(x,K(z,w))) = L(K(x,K(y,z)),u,w). [para(3841(a,1),7253(a,1,2,3))]. 7424 K(x,L(y,z,(x \ u) * w)) = K(x,L(y,z,u * w)). [hyper(7053,a,7269,a),flip(a)]. 7425 K(x,L(y,z,T(u,x) * w)) = K(x,L(y,z,(u * x) * w)). [para(22(a,2),7424(a,1,2,3,1))]. 7426 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(262,a,5100,a(flip),b,7289,a)]. 7427 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(62,a,7077,a(flip),b,7426,a),flip(a)]. 7428 a((T(x,y) \ T(z,y)) \ 1,u,u \ 1) \ T(z * L(z \ x,u,u \ 1),y) = T(x,y). [para(1834(a,1),7291(a,1,2))]. 7429 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(3843(a,1),7303(a,1,2))]. 7430 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(89(a,2),7305(a,2,2,2)),flip(a)]. 7431 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(3851(a,1),7305(a,1,1,3))]. 7432 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(5930(a,1),7332(a,1,2))]. 7433 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(9(a,1),7432(a,1,2,1))]. 7435 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(147(a,1),7433(a,1,1)),flip(a)]. 7438 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(262,a,2905,a(flip),b,7435,a),flip(a)]. 7439 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [hyper(156,a,7438,a),flip(a)]. 7440 (x * (K(y,x) / T(x,z))) \ L(u,(x \ K(x,y)) * T(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(7339(a,1),5666(a,1,2))]. 7441 K(x,L(y,z \ 1,z * u)) = K(x,L(y,u,z * u)). [hyper(262,a,7052,a(flip),b,7368,a),flip(a)]. 7442 K(x,((y * z) * (y \ 1)) \ ((y * z) * u)) = K(x,L((y \ 1) \ u,z,y * z)). [para(90(a,1),7441(a,1,2))]. 7443 a(x,y,K(z,(u * x) \ w)) = a(z,y,K(x,w \ T(u,x))). [hyper(62,a,7364,a(flip),b,7402,a),flip(a)]. 7444 a(x,y,K(z,(u * x) \ w)) = a(z,y,K(x,w \ u)). [para(3691(a,1),7443(a,2,3))]. 7445 K(x,K(y,z)) * a(y,u,K(x,K(z,w))) = K(x,K(y,L(z,u,w))). [hyper(262,a,4237,a(flip),b,7423,a),flip(a)]. 7446 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(62,a,6322,a(flip),b,7429,a)]. 7447 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(5702(a,1),7446(a,1,1))]. 7448 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(3843(a,1),7447(a,2,3))]. 7449 K(x,L(y \ z,T(u,y),y \ u)) = K(x,u \ ((u / y) * z)). [para(201(a,2),7348(a,1,2,2))]. 7450 K(x,L(y \ z,u,y \ u)) = K(x,u \ ((u / y) * z)). [para(2679(a,1),7449(a,1,2))]. 7451 K(x,((y \ z) \ u) \ (z \ (y * u))) = a(z \ u,z,K(x,y)). [hyper(262,a,7037,a(flip),b,7365,a),flip(a)]. 7452 K(x,(y \ (z * u)) / T((z \ y) \ u,y \ (z * u))) = a(y \ u,y,K(x,z)). [hyper(62,a,1434,a,b,7451,a)]. 7453 ((K(x,y) * z) * u) * a(x,z,K(y,u)) != w | K(x,y) * (z * u) = w. [para(5708(a,1),7028(a,1))]. 7454 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(3582(a,1),7142(a,2,2))]. 7455 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(262,a,2542,a(flip),b,7454,a),flip(a)]. 7456 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(74(a,1),7455(a,1,1))]. 7457 a(x,T(y,z),K(u,(z \ 1) / y)) = a(x,z \ 1,K(y * z,u)). [para(1242(a,1),7154(a,1,3,2))]. 7458 a(x,T(y,z),K(y * z,u)) = a(x,z \ 1,K(y * z,u)). [para(7141(a,1),7457(a,1,3))]. 7459 a(x,y \ 1,K(z * y,u)) = a(x,z,K(z * y,u)). [hyper(62,a,5727,a(flip),b,7458,a),flip(a)]. 7460 a(x,(y \ z) \ 1,K(z,u)) = a(x,y,K(y * (y \ z),u)). [para(10(a,1),7459(a,1,3,1))]. 7461 a(x,y \ 1,K((y \ 1) * z,u)) = a(x,z \ 1,K(u,z \ y)). [para(7108(a,1),7459(a,1,3)),flip(a)]. 7462 a(x,(y \ z) \ 1,K(z,u)) = a(x,y,K(z,u)). [para(10(a,1),7460(a,2,3,1))]. 7463 a(x,1 / (y \ z),K(z,u)) = a(x,y,K(z,u)). [para(230(a,2),7462(a,1,2))]. 7464 a(x,1 / y,K(z,u)) = a(x,z / y,K(z,u)). [para(77(a,1),7463(a,1,2,2))]. 7465 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(3834(a,2),7464(a,1,3))]. 7466 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(3834(a,2),7465(a,2,3))]. 7467 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(62,a,7250,a,b,7466,a)]. 7468 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(3843(a,1),7467(a,2,3))]. 7469 a(x,y \ 1,K(z,u \ y)) = a(x,u \ 1,K(z,u \ y)). [para(7108(a,1),7461(a,1,3))]. 7470 a(x,(y * z) \ 1,K(u,T(y,z))) = a(x,z \ 1,K(u,z \ (y * z))). [para(22(a,2),7469(a,1,3,2))]. 7471 K(L(x,y,y \ 1),(y \ 1) \ z) = K(x,(y * x) * z). [hyper(262,a,7058,a(flip),b,7279,a),flip(a)]. 7472 K(L(x,y,y \ 1),y * z) = K(x,(y * x) * z). [hyper(7104,a,7471,a)]. 7474 K(x,(y * x) * z) = K(x,y * z). [hyper(7275,a,7472,a),flip(a)]. 7476 K(x,(y / x) * z) = K(x,y * z). [para(12(a,1),7474(a,1,2,1)),flip(a)]. 7477 K(x * y,(y / z) * x) = K(z,y * x). [hyper(62,a,7316,a,b,7476,a)]. 7478 a((x / y) * z,u,K(w,z * x)) = a(w,u,K(y,x * z)). [para(7477(a,1),7025(a,1,3)),flip(a)]. 7479 a((x / y) * z,z * u,K(w,z * x)) = a(w,L(x \ u,x,z),K(y,x * z)). [para(7477(a,1),7209(a,1,3)),flip(a)]. 7480 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(64(a,1),7288(a,1,2)),flip(a)]. 7481 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(262,a,2029,a(flip),b,7480,a),flip(a)]. 7482 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(262,a,5395,a(flip),b,7481,a),flip(a)]. 7484 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(262,a,5322,a,b,7482,a),flip(a)]. 7485 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(10(a,1),7484(a,1,2,1,1,1)),flip(a)]. 7486 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(62,a,5590,a(flip),b,7485,a),flip(a)]. 7487 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(62,a,7427,a(flip),b,7486,a)]. 7488 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(9(a,1),7487(a,1,2,1,1)),flip(a)]. 7489 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(5465,a,7488,a)]. 7490 a((x \ y) \ K(x,z),u,u \ 1) = a((y / T(x,z)) \ 1,u,u \ 1). [hyper(262,a,7395,a(flip),b,7397,a)]. 7491 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(74(a,1),7456(a,1,2,1)),flip(a)]. 7492 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(3045(a,1),7491(a,1,1))]. 7493 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(7492(a,2),1483(a,1,2))]. 7494 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(7492(a,2),5794(a,2,1,1,2,1)),flip(a)]. 7495 a((T(x,y) \ z) \ 1,u,u \ 1) = a((x \ z) \ K(x,y),u,u \ 1). [hyper(262,a,7396,a(flip),b,7490,a)]. 7496 K(x,(y * z) \ u) * a(x,z,K(y,(y \ u) \ z)) = K(x,z \ (y \ u)). [para(3003(a,1),7304(a,1,2,3))]. 7497 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(3830(a,1),7307(a,1,1,3))]. 7498 K(x,(y * z) \ u) * a(x,z,K(y,u \ z)) = K(x,z \ (y \ u)). [para(5387(a,1),7496(a,1,2,3))]. 7499 ((x * y) \ z) * (T((x * y) \ z,u) \ a(u,y,K(x,z \ y))) = K(u,y \ (x \ z)). [hyper(2468,a,7498,a)]. 7500 K(x,a(y,z,u)) * a(x,z * u,K(y,((y * z) * u) \ (z * u))) = K(x,(z * u) \ (y \ ((y * z) * u))). [para(14(a,2),7498(a,1,1,2))]. 7501 K(x,(y * z) \ u) * a(x,z,K(y,(u * x) \ z)) = K(x,z \ (y \ (u * x))). [para(5389(a,1),7498(a,1,1))]. 7502 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(7497,a,7431,a),flip(a)]. 7503 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(77(a,1),7502(a,1,2,2,3)),flip(a)]. 7504 K(x,y) * (K(x,K(y,z)) * K(y,T(L(x,u,w),z))) = a(T(y,z),u,K(w,x)). [para(3403(a,1),7302(a,1,2,2))]. 7505 K(x,L(y,z,u \ (w \ K(w,u)))) = a(x,z,K(y,u / (w \ 1))) * K(x,y). [hyper(262,a,5690,a(flip),b,7374,a),flip(a)]. 7506 K(x,K(y,z * u)) * K(x,y \ ((u \ 1) * (z \ y))) = K(x,((u \ 1) * (z \ y)) / y). [para(6629(a,1),7388(a,1,1))]. 7507 a(((x * K(y,z)) \ z) \ 1,u,u \ 1) = a((x \ T(z,y)) \ 1,u,u \ 1). [hyper(262,a,7396,a(flip),b,7404,a),flip(a)]. 7508 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(62,a,5466,a(flip),b,7489,a),flip(a)]. 7509 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(3539,a,7508,a)]. 7511 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(62,a,4712,a(flip),b,7509,a),flip(a)]. 7513 K(x,T(T(x * T(y,z),z),u)) = K(x,T((z / (y * z)) \ x,u)). [para(98(a,1),7511(a,1,2,1,1,2)),flip(a)]. 7514 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(262,a,5593,a(flip),b,7513,a),flip(a)]. 7515 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(3593,a,7514,a)]. 7516 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(232(a,1),7515(a,2,2,1,1,2))]. 7517 R(K(x,x * y),y,z) = K(x,T(x * T(y,u),u)). [hyper(262,a,6393,a,b,7516,a)]. 7519 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,v5),v5)). [para(7517(a,2),3373(a,1,1))]. 7520 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,v5),v5)). [hyper(62,a,3378,a(flip),b,7519,a)]. 7521 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [hyper(3376,a,7520,a),flip(a)]. 7522 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(62,a,7520,a,b,7521,a)]. 7523 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(6752(a,1),7522(a,1,1))]. 7524 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(6751,a,7523,a)]. 7525 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(262,a,6752,a(flip),b,7524,a),flip(a)]. 7526 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(62,a,6762,a(flip),b,7525,a),flip(a)]. 7528 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(62,a,6753,a(flip),b,7526,a),flip(a)]. 7529 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(7528(a,2),2102(a,2,1)),flip(a)]. 7530 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(2146,a,7529,a)]. 7531 L(T(x,R(y,z,u)),w,x) = T(x,R(x * y,z,u)). [hyper(262,a,628,a,b,7530,a)]. 7532 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(62,a,6810,a(flip),b,7531,a)]. 7533 L(T(x,R(y / T(1 / (1 / z),u),w,v5)),v6,x) = T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)). [para(1617(a,2),7531(a,2,2,1))]. 7534 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(7022(a,1),7532(a,1,2))]. 7535 K(x,y) * (K(x,K(y,z)) * K(y,L(T(x,z),u,w))) = a(T(y,z),u,K(w,x)). [para(25(a,2),7504(a,1,2,2,2))]. 7536 K(x,L(y,z,u \ (w \ K(w,u)))) = a(x,z,K(y,u * w)) * K(x,y). [para(7092(a,1),7505(a,2,1,3))]. 7537 K(x,L(y,z,u \ (w \ K(w,u)))) != v5 | K(x,L(y,z,(u * w) \ 1)) = v5. [para(7536(a,2),7405(a,1))]. 7538 a(T(T(x,y) / z,x) \ 1,u,u \ 1) = a((z \ T(x,y)) \ 1,u,u \ 1). [para(7157(a,2),7507(a,1,1,1))]. 7539 a(T(x,y),z,K(u,w)) != v5 | K(w,T(x,y)) * K(x,L(T(w,y),z,u)) = v5. [para(7535(a,1),4626(a,1))]. 7540 a((x \ T(y,z)) \ 1,u,u \ 1) = a((x \ y) \ K(z,y),u,u \ 1). [para(7296(a,1),7538(a,1,1)),flip(a)]. 7541 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (L(y \ 1,y,z) * u)). [hyper(62,a,7377,a(flip),b,7350,a)]. 7543 K(x,L((y * z) \ u,z,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [para(537(a,1),7401(a,2,2,1))]. 7544 K(x,L(y,z,z \ 1) \ ((y * z) * u)) = K(x,L((z \ 1) \ u,y,z * y)). [para(4825(a,1),7442(a,1,2))]. 7545 K(x,(y \ (z * u)) / ((z \ y) \ u)) = a(y \ u,y,K(x,z)). [para(728(a,1),7452(a,1,2,2))]. 7546 a(x,L(y \ z,y,u),K(w,y * u)) = a(x,u * z,K(w,y * u)). [hyper(62,a,7478,a(flip),b,7479,a),flip(a)]. 7547 K(x,(y * z) \ u) * a(y,z,K(x,z \ u)) = K(x,z \ (y \ (u * x))). [para(7444(a,1),7501(a,1,2))]. 7548 (x \ K(y,z)) * L(K(z,y) * x,u,u \ 1) = a(K(z,y) * x,u,u \ 1). [hyper(62,a,1303,a(flip),b,7193,a),flip(a)]. 7549 L(a(x \ (y \ 1),z,K(u,w)),y \ 1,y) = K(a(w,z,u),y * x). [hyper(262,a,2525,a(flip),b,7366,a),flip(a)]. 7550 L(a(x \ (y \ 1),z,K(u,w)),y \ 1,y) != v5 | a(w,z,K(u,y * x)) = v5. [para(7549(a,2),7237(a,1))]. 7551 a(x \ (y \ 1),z,K(u,L(w,y \ 1,y))) = a(w,z,K(u,y * x)). [hyper(7550,a,6500,a(flip)),flip(a)]. 7552 a(x \ (y \ 1),z,K(u,w)) = a(w,z,K(u,y * x)). [para(7065(a,1),7551(a,1,3))]. 7554 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(6084(a,1),7430(a,2,1))]. 7555 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(262,a,7305,a(flip),b,7554,a),flip(a)]. 7556 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(89(a,1),7555(a,1,2,2))]. 7557 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(2678(a,2),7556(a,1,2,2))]. 7558 x * (K(y,z) * L(K(z,y) * (x \ 1),u,w)) = (x * K(y,z)) * L(K(z,y) / x,u,w). [para(2389(a,1),7185(a,1,2,2,1))]. 7559 (x * K(y,z)) * L(K(z,y) / x,u,w) = x * (K(y,z) * L(K(z,y) / x,u,w)). [para(7162(a,1),7558(a,1,2,2,1)),flip(a)]. 7560 x * L(a(y,z,K(u,x \ z)),K(y,u) * x,K(u,y)) = K(u,y) * ((K(y,u) * z) * (z \ x)). [para(3003(a,1),7029(a,1,2,1,3))]. 7561 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(62,a,4380,a(flip),b,7493,a)]. 7562 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(1117(a,2),7561(a,2,1))]. 7563 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(262,a,77,a(flip),b,7562,a),flip(a)]. 7565 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(62,a,7354,a(flip),b,7563,a),flip(a)]. 7566 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [hyper(119,a,7565,a(flip))]. 7567 x * a(y,z,K(u,L(x \ z,K(y,u) * x,K(u,y)))) = K(u,y) * ((K(y,u) * z) * (z \ x)). [para(6500(a,2),7560(a,1,2))]. 7568 K(x,y) * ((K(y,x) * z) * (z \ u)) = u * a(y,z,K(x,u \ z)). [para(5251(a,1),7567(a,1,2,3)),flip(a)]. 7569 K(x,y) * ((K(y,x) * z) * (z \ u)) = u * a(x,z,K(u \ z,y)). [hyper(262,a,7040,a,b,7568,a),flip(a)]. 7571 K(x,y) * ((K(y,x) * z) * (z \ u)) = u * a(x,z,K(y,z \ u)). [para(3003(a,1),7569(a,2,2,3))]. 7572 T(x,R(((x \ 1) \ 1) * (y / T(z,u)),w,v5)) = L(T(x,R(y / T(z,u),w,v5)),v6,x). [para(232(a,1),7533(a,1,1,2,1,2,1)),flip(a)]. 7573 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),v5,x). [para(5117(a,1),7572(a,2,1))]. 7574 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(262,a,7531,a(flip),b,7573,a),flip(a)]. 7575 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(10(a,1),7574(a,2,2,1))]. 7576 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(1617(a,1),7575(a,1,2,1))]. 7577 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(232(a,1),7292(a,1,2,2))]. 7579 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(4120(a,1),7577(a,1,2)),flip(a)]. 7580 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(262,a,4878,a(flip),b,7579,a),flip(a)]. 7582 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(1 / y,y) \ ((T(z,x) \ 1) * z). [para(7580(a,1),6854(a,2,2))]. 7583 K(x,1 / (K(1 / y,y) \ R(1 / z,z,K(1 / y,y)))) = K(y,1 / y) * ((T(z,x) \ 1) * z). [hyper(262,a,2389,a(flip),b,7582,a),flip(a)]. 7584 K(x,1 / (K(1 / y,y) \ R(1 / L(z,u,w),L(z,u,w),K(1 / y,y)))) = (T(L(z,u,w),x) \ 1) * L((z \ 1) \ 1,u,w). [hyper(262,a,1332,a(flip),b,7583,a),flip(a)]. 7585 K(x,(K(y,z) * u) * w) * K((K(y,z) * u) * w,L(x,v5,v6)) = a((u \ K(z,y)) \ w,v5,K(v6,x)). [para(7182(a,1),7335(a,1,2))]. 7586 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(7150(a,1),7494(a,1,1,1,2))]. 7587 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(4255(a,1),7586(a,1,1,1,2))]. 7588 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(668(a,1),7587(a,1,1,1)),flip(a)]. 7589 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(1117(a,2),7588(a,1,2,2,1))]. 7590 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(77(a,1),7589(a,1,2,2))]. 7592 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(7566(a,1),7590(a,1,2))]. 7593 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [hyper(156,a,7592,a(flip))]. 7594 a((x \ K(y,z)) \ u,w,K(v5,v6)) = a((K(z,y) * x) * u,w,K(v5,v6)). [hyper(7258,a,7585,a),flip(a)]. 7595 (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(7192(a,1),7301(a,1,1))]. 7596 (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). [para(5612(a,1),7595(a,1,2))]. 7597 K(x,y) * (K(z,y) * (K(y,z) * (K(y,x) * u))) = L(u,K(y,z) * K(y,x),K(z,y) * K(x,y)). [hyper(62,a,5623,a(flip),b,7596,a)]. 7598 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(2383(a,1),7597(a,1,2)),flip(a)]. 7599 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(262,a,2383,a(flip),b,7598,a),flip(a)]. 7602 a(x,y,K(z,u)) * a(x,y * z,K(u,((u * y) * z) \ (y * z))) = K(x,(y * z) \ (u \ ((u * y) * z))). [para(7033(a,2),7500(a,1,1))]. 7603 K(L(x,y,y \ 1) * (x \ z),L(u,z,x)) = K(z * a((z \ (x \ z)) \ 1,y,y \ 1),u). [hyper(262,a,7052,a(flip),b,7216,a)]. 7604 K((x / y) * L(y,z,z \ 1),L(u,x,T(y,x \ 1))) = K(x * a((x \ (T(y,x \ 1) \ x)) \ 1,z,z \ 1),u). [para(1843(a,1),7603(a,1,1))]. 7605 K(x,1 / (K(1 / y,y) \ (1 / L(z,u,w)))) = (T(L(z,u,w),x) \ 1) * L((z \ 1) \ 1,u,w). [para(829(a,1),7584(a,1,2,2,2))]. 7607 K(x,1 / (K(y,1 / y) * (1 / L(z,u,w)))) = (T(L(z,u,w),x) \ 1) * L((z \ 1) \ 1,u,w). [para(2389(a,1),7605(a,1,2,2))]. 7608 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(4740(a,1),7607(a,1,2,2)),flip(a)]. 7609 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(262,a,5862,a(flip),b,7608,a),flip(a)]. 7610 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(224(a,1),7609(a,2,2))]. 7611 (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(3181(a,1),7331(a,1,1,1))]. 7612 (x * (K(y,x) / T(x,z))) \ L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)) = ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u. [para(3351(a,1),7440(a,1,2))]. 7613 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(7599(a,1),7612(a,1,2)),flip(a)]. 7614 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(231(a,1),7613(a,1,1,1))]. 7615 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(5665(a,1),7614(a,1,1)),flip(a)]. 7616 L(((x \ K(x,y)) * T(x,z)) * u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(7615(a,1),4385(a,1,1))]. 7617 L(((x \ K(x,y)) * T(x,z)) * u,x * (K(y,x) / T(x,z)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(4274(a,1),7616(a,1,2))]. 7618 L(((x \ K(x,y)) * T(x,z)) * u,x * (T(x,y) \ K(z,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [hyper(62,a,5048,a(flip),b,7617,a)]. 7619 L(((x \ K(x,y)) * T(x,z)) * u,K(y,x) * K(z,x),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). [para(2451(a,1),7618(a,1,2))]. 7620 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(6723,a,7619,a),flip(a)]. 7622 (((x \ K(x,y)) * T(x,x \ 1)) * z) * K((K(x,y) / x) * (x * z),u) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u). [para(7620(a,1),7611(a,1,1))]. 7623 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),u) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u). [para(3349(a,1),7622(a,1,1,1)),flip(a)]. 7624 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((K(x,y) / x) * (x * z),u * w). [hyper(62,a,1272,a,b,7623,a)]. 7625 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(u,u \ 1) * w) = (K(x,y) * z) * K((x \ K(x,y)) * (x * z),u * w). [para(2774(a,1),7624(a,2,2))]. 7626 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(x \ (x * z),T(x * z,y)). [para(5373(a,1),7625(a,2,2))]. 7627 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = (K(x,y) * z) * K(z,T(x * z,y)). [para(9(a,1),7626(a,2,2,1))]. 7628 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = K(x,y) * T(z,T(x * z,y)). [hyper(262,a,2905,a(flip),b,7627,a),flip(a)]. 7630 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(262,a,4382,a(flip),b,7628,a),flip(a)]. 7631 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(3181(a,1),7630(a,1,1,1))]. 7632 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(7620(a,1),7631(a,1,1))]. 7633 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(3349(a,1),7632(a,1,1,1))]. 7634 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(62,a,1272,a(flip),b,7633,a)]. 7635 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(877(a,1),7634(a,2,1))]. 7636 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(6187(a,1),7635(a,2,2))]. 7637 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(6187(a,1),7636(a,1,1,1))]. 7638 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(262,a,7534,a(flip),b,7637,a),flip(a)]. 7639 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(5804(a,1),7638(a,1,1))]. 7640 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(7055(a,2),7639(a,1,1))]. 7641 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(893,a,7640,a)]. 7642 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(62,a,6501,a(flip),b,7641,a),flip(a)]. 7643 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(62,a,7576,a(flip),b,7642,a),flip(a)]. 7644 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(6150(a,1),7643(a,1,2,1))]. 7645 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(62,a,6504,a(flip),b,7644,a)]. 7646 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(2058(a,2),7645(a,1,2,1,2))]. 7647 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(145(a,1),7646(a,1,2,1)),flip(a)]. 7648 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(104,a,7647,a(flip),b,2097,a(flip))]. 7649 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(2153,a,7648,a),flip(a)]. 7650 K(x,((y * z) * u) / (y * u)) = K(T(x,y),L(z,y,u)). [hyper(4042,a,7649,a)]. 7651 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(62,a,6752,a,b,7649,a)]. 7652 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(62,a,6750,a,b,7649,a)]. 7653 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(487(a,1),7649(a,1,2)),flip(a)]. 7654 K(x,L(y / (z / u),z / u,u)) = K(x,(y * u) / z). [para(489(a,1),7649(a,1,2)),flip(a)]. 7655 K(x,L(y \ (z / u),y,u)) = K(x,T(z / (y * u),y)). [para(562(a,1),7649(a,1,2)),flip(a)]. 7656 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(7649(a,1),468(a,1,2))]. 7657 K(x,((y * z) * u) \ (z * u)) = K(T(y,z * u),L(x,z,u)). [hyper(3063,a,7651,a)]. 7658 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(262,a,6063,a,b,7651,a),flip(a)]. 7659 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(262,a,6039,a,b,7652,a),flip(a)]. 7660 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(7652(a,1),94(a,1,1))]. 7661 K(x,L(y,z,z \ u)) * u = (K(x,y) * z) * (z \ u). [para(7652(a,1),458(a,1,1))]. 7662 K(x,L(y,z,z \ u)) * u != w | (K(x,y) * z) * (z \ u) = w. [para(7652(a,1),746(a,1,1))]. 7663 (K(x,T(y,z * u)) * z) * u = (z * u) * K(x,L(y,z,u)). [para(7652(a,1),3926(a,2,2))]. 7664 K(L(x / y,y,z),u) = K((x * z) / (y * z),u). [para(95(a,1),7658(a,1,1)),flip(a)]. 7665 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(7658(a,1),3552(a,1))]. 7666 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(62,a,3392,a(flip),b,7659,a),flip(a)]. 7667 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(62,a,2712,a(flip),b,7659,a),flip(a)]. 7668 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(7659(a,1),94(a,1,1))]. 7669 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(7659(a,1),147(a,1,1))]. 7671 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(7659(a,1),7438(a,1,1))]. 7672 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(2796,a,7667,a),flip(a)]. 7673 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [para(7672(a,1),7135(a,1,1,2))]. 7674 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(7653(a,1),5458(a,2,2))]. 7675 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / (y * x),u). [hyper(4147,a,7664,a)]. 7677 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(62,a,3416,a(flip),b,7666,a)]. 7678 K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. [para(5528(a,1),7668(a,1,1))]. 7679 K(x,((y * z) * u) / (y * u)) = K(x,T(L(z,y,u),y)). [hyper(262,a,3403,a(flip),b,7650,a),flip(a)]. 7680 K(x,L(y / (z / u),u \ z,u)) = K(x,(y * u) / z). [hyper(62,a,5267,a(flip),b,7654,a)]. 7681 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(u,1 / u)). [para(453(a,1),7655(a,1,2)),flip(a)]. 7682 K(x,L(T(y,K(z,u)) \ (w / K(z,u)),T(y,K(z,u)),K(z,u))) = K(x,T(w / (K(z,u) * y),T(y,K(z,u)))). [para(3895(a,1),7655(a,2,2,1,2))]. 7683 (K(x,y) * (z / u)) * ((z / u) \ z) = K(x,L(y,z / u,u)) * z. [para(77(a,1),7661(a,1,1,2,3)),flip(a)]. 7684 K(x,L(y,z,(K(y,u) * z) \ w)) * w = (K(x,y) * (K(y,u) * z)) * ((K(y,u) * z) \ w). [para(5461(a,1),7661(a,1,1))]. 7685 K(x,((K(y / z,z) * (K(z,y / z) * u)) * y) / (K(y / z,z) * y)) = K(x,T(((z \ y) * z) \ (y * u),K(y / z,z))). [para(2419(a,1),7679(a,2,2,1))]. 7686 K(x,L(y / (z / u),z,u)) = K(x,(y * u) / z). [hyper(62,a,7347,a(flip),b,7680,a)]. 7687 K((x / y) * z,L(u,x,y)) = K(u,((z \ 1) * y) / x). [hyper(7294,a,7686,a)]. 7688 K(L(x / (y / z),y,z),u) = K(w * ((w \ 1) / u),(x * z) / y). [hyper(62,a,7140,a(flip),b,7686,a)]. 7689 K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / u). [para(74(a,1),7686(a,1,2,1,2))]. 7690 T(x,L(y / (z / u),z,u)) = x * K(x,(y * u) / z). [para(7686(a,1),2097(a,2,2))]. 7691 K(x,(y * z) / u) * a(x,u,K(y / (u / z),z)) = K(x,y / (u / z)). [para(7686(a,1),7262(a,1,1))]. 7692 K(x \ 1,((y \ 1) * z) / u) = K(x,L((u / z) * y,u,z)). [hyper(6065,a,7687,a),flip(a)]. 7693 K(x,((y \ 1) * (z \ u)) / u) != w | K(z * y,L(x,u,z \ u)) = w. [para(7689(a,1),7294(a,1))]. 7694 T(x,L(y / (z / u),z,u)) = T(x,(y * u) / z). [hyper(262,a,2097,a,b,7690,a),flip(a)]. 7695 K(x,((y * z) * u) \ (z * u)) = K(y,T(L(x,z,u),z * u)). [hyper(262,a,3403,a(flip),b,7657,a),flip(a)]. 7696 (K(x,T(y,z * u)) * z) * u = u * (T(z,u) * K(x,y)). [hyper(262,a,6124,a(flip),b,7663,a),flip(a)]. 7697 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [hyper(181,a,7663,a,b,6124,a(flip))]. 7699 T((K(x,y) * z) * u,z * u) = u * (T(z,u) * K(x,y)). [hyper(62,a,3417,a,b,7696,a)]. 7700 T((K(x,y) * z) * T(u,z),z * T(u,z)) = T(u,z) * (T(z,u) * K(x,y)). [para(1172(a,1),7699(a,2,2,1))]. 7701 K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [para(2107(a,1),7678(a,2,1))]. 7702 K(x,L((y / z) * u,y,z)) = K(x,y / ((u \ 1) * z)). [hyper(2633,a,7692,a),flip(a)]. 7703 K(x,L(y * z,u,y \ u)) = K(x,u / ((z \ 1) * (y \ u))). [para(74(a,1),7702(a,1,2,1,1))]. 7704 K(x,((y * z) * u) \ (z * u)) = K(y,L(T(x,z * u),z,u)). [para(25(a,2),7695(a,2,2))]. 7705 K(x / y,L(T(z,y * u),y,u)) = K(z,(x * u) \ (y * u)). [para(12(a,1),7704(a,1,2,1,1)),flip(a)]. 7706 K(x,L(T(y,(z / u) * u),z / u,u)) = K(y,((x * (z / u)) * u) \ z). [para(12(a,1),7704(a,1,2,2)),flip(a)]. 7707 a(x,y,K(z,u)) * a(x,y * z,K(u,L(T(u,y * z),y,z))) = K(x,(y * z) \ (u \ ((u * y) * z))). [para(7704(a,1),7602(a,1,2,3))]. 7708 K(x / y,L(T(z,y * K(u,x \ (w \ (v5 \ (w * x))))),y,K(u,x \ (w \ (v5 \ (w * x)))))) = K(z,(w \ (K(v5,u) * (w * x))) \ (y * K(u,x \ (w \ (v5 \ (w * x)))))). [para(6163(a,1),7705(a,2,2,1))]. 7709 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(7075(a,1),7656(a,1,2))]. 7710 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(3164,a,7709,a)]. 7711 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(7710(a,1),3359(a,1,2))]. 7712 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(7136,a,7673,a),flip(a)]. 7713 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(733(a,1),7712(a,1,2,1)),flip(a)]. 7714 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(5232,a,7671,a)]. 7715 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(7120(a,1),7674(a,1,2))]. 7716 (K(x,y) * (z / u)) * ((z / u) \ z) = K(x,L(y,u \ z,u)) * z. [para(2678(a,1),7683(a,2,1,2))]. 7717 K(x / (y / z),L(u,y,z)) = K(w * ((w \ 1) / u),(x * z) / y). [hyper(6097,a,7688,a)]. 7718 T((x * (K(y,z) * u)) * L(K(z,y),u,x),K(y,L(z,u,x))) = u * T(x,K(y,z) * u). [hyper(62,a,4479,a,b,7714,a)]. 7719 K(x,L(y,z \ u,z)) * u = (K(x,y) * (u / z)) * z. [para(77(a,1),7716(a,1,2)),flip(a)]. 7720 K(x,L(y,z,u)) * z = (K(x,y) * (z / u)) * u. [para(7347(a,1),7719(a,1,1))]. 7721 K((x / y) * z,L(u,x,y)) * x = ((x / y) * K(z * (x / y),u)) * y. [para(3026(a,1),7720(a,2,1))]. 7722 K(x / (y / z),L(u,y,z)) = K((x * z) / y,u). [hyper(262,a,7140,a(flip),b,7717,a),flip(a)]. 7723 K(x / (y / z),L(u,y,z)) = K(u,y / (x * z)). [hyper(262,a,2617,a(flip),b,7722,a),flip(a)]. 7724 K(x / (y / z),L(u,y,z)) != w | K(u,y / (x * z)) = w. [para(7722(a,2),2622(a,1))]. 7725 K(x / (y * z),L(u,y,L(z \ 1,z,y))) = K(u,y / (x * L(z \ 1,z,y))). [para(333(a,1),7723(a,1,1,2))]. 7726 K(x,(y * z) / u) * a(x,u,K(z,(u / z) / y)) = K(x,y / (u / z)). [para(2617(a,1),7691(a,1,2,3))]. 7727 K(x,((y * (z / u)) * u) \ z) = K(y,L(T(x,z),z / u,u)). [para(12(a,1),7706(a,1,2,1,2)),flip(a)]. 7728 K(x,((y * (z / u)) * u) \ z) = K(y,L(T(x,z),u \ z,u)). [hyper(262,a,5267,a(flip),b,7727,a),flip(a)]. 7729 K(x,((y * (z / u)) * u) \ z) = K(y,L(T(x,z),z,u)). [hyper(262,a,7347,a(flip),b,7728,a),flip(a)]. 7730 (x * (y * z)) \ ((x * y) * z) = a(x * K(y * z,x),y,z). [hyper(4634,a,7711,a),flip(a)]. 7731 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(618,a,7730,a),flip(a)]. 7732 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(7731(a,1),4633(a,1,2))]. 7733 R(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(7328,a,7732,a),flip(a)]. 7734 ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(3398(a,1),7732(a,1,1,1))]. 7735 ((x / y) * K(z * (x / y),u)) * y = K(u,((z \ 1) * y) / x) * x. [para(7687(a,1),7721(a,1,1)),flip(a)]. 7736 ((x / y) * K(z * (x / y),u)) * y = x * K(u,x \ ((z \ 1) * y)). [hyper(262,a,3471,a(flip),b,7735,a),flip(a)]. 7737 K(x,(y * z) / u) * a(x,u,K(z,u / y)) = K(x,y / (u / z)). [para(5405(a,1),7726(a,1,2,3))]. 7738 T((K(x,y) * z) * T(u,z),u * z) = T(u,z) * (T(z,u) * K(x,y)). [para(98(a,1),7700(a,1,2))]. 7739 T((K(x,y) * z) * T(u,z),u * z) = u * (z * K(x,y)). [hyper(262,a,2455,a(flip),b,7738,a),flip(a)]. 7740 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(262,a,3520,a,b,7713,a),flip(a)]. 7741 K(x / (y * z),L(u,y,z \ 1)) = K(u,y / (x * L(z \ 1,z,y))). [hyper(62,a,7377,a(flip),b,7725,a)]. 7743 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(262,a,3602,a(flip),b,7740,a),flip(a)]. 7744 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(3170,a,7743,a),flip(a)]. 7745 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(262,a,1445,a(flip),b,7744,a),flip(a)]. 7746 K(x,T(y / ((z / (z * u)) * (z * u)),y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(2771(a,1),7744(a,2,2,1))]. 7747 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(6409(a,1),7718(a,1,1))]. 7748 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(3883(a,1),7747(a,1,1,2))]. 7749 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(6968,a,7748,a)]. 7750 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(4080(a,2),7749(a,1,2,2))]. 7751 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(5543(a,2),7750(a,1,2))]. 7752 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(4179(a,2),7751(a,1,2,2,2))]. 7753 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(10(a,1),7745(a,1,2,1,2))]. 7754 K(x,L(y,z,(K(y,x) * z) \ u)) * u = z * ((K(y,x) * z) \ u). [para(2383(a,1),7684(a,2,1))]. 7755 (K(x,y) * a(x,z,K(y,u \ (K(y,x) * z)))) * u = z * ((K(y,x) * z) \ u). [para(7260(a,2),7754(a,1,1))]. 7756 (K(x,y) * a(x,z,K(y,u \ z))) * u = z * ((K(y,x) * z) \ u). [para(5316(a,1),7755(a,1,1,2,3))]. 7758 K(x,L(y,z,z \ u)) * u = z * ((K(y,x) * z) \ u). [para(7260(a,1),7756(a,1,1))]. 7759 (K(x,y) * z) * (z \ u) = z * ((K(y,x) * z) \ u). [hyper(7662,a,7758,a)]. 7760 x * ((K(y,T(z,x)) * x) \ u) = (x * K(z,y)) * (x \ u). [para(3957(a,1),7759(a,1,1)),flip(a)]. 7761 K(x,y) * (z * ((K(x,y) * z) \ u)) = u * a(x,z,K(y,z \ u)). [para(7759(a,1),7571(a,1,2))]. 7762 (x * K(y,z)) * (x \ u) = x * ((x * K(z,y)) \ u). [para(3923(a,1),7760(a,1,2,1)),flip(a)]. 7763 x * ((x * K(y,z)) \ (x * u)) = (x * K(z,y)) * u. [para(9(a,1),7762(a,1,2)),flip(a)]. 7764 (x * K(y,z)) \ (x * u) = x \ ((x * K(z,y)) * u). [hyper(108,a,7763,a),flip(a)]. 7765 (x * y) \ (x * ((x * K(z,u)) \ (x * (K(z,u) * y)))) = a(x,K(u,z),K(z,u) * y). [para(7763(a,2),2396(a,1,2))]. 7766 x \ ((x * K(y,z)) * (K(z,y) * u)) != w | L(u,K(z,y),x) = w. [para(7764(a,1),411(a,1))]. 7767 x \ ((x * K(y,T(z,x))) * u) = (K(z,y) * x) \ (x * u). [para(2979(a,1),7764(a,1,1)),flip(a)]. 7768 T(K(x,y),z) * ((K(x,y) * z) \ (z * u)) = K(x,y) * (z \ ((z * K(y,x)) * u)). [para(7764(a,1),4793(a,2,2))]. 7769 (K(x,y) * z) \ (z * u) = z \ ((K(y,x) * z) * u). [para(3398(a,1),7767(a,1,2,1)),flip(a)]. 7770 x * a(y,z \ K(K(y,u),z),K(u,(z \ K(K(y,u),z)) \ x)) = K(y,u) * ((z \ K(K(y,u),z)) * (((z \ 1) * K(y,u)) \ x)). [para(2506(a,1),7761(a,1,2,2,1)),flip(a)]. 7771 K(x,T(y,z)) * ((K(x,y) * z) \ (z * u)) = K(x,y) * (z \ ((z * K(y,x)) * u)). [hyper(3571,a,7768,a)]. 7772 K(x,T(y,z)) * (z \ ((K(y,x) * z) * u)) = K(x,y) * (z \ ((z * K(y,x)) * u)). [para(7769(a,1),7771(a,1,2))]. 7773 a(x,K(y,z),K(z,y) * u) = (x * u) \ (x * L(u,K(z,y),x)). [para(18(a,2),7765(a,1,2,2)),flip(a)]. 7774 x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). [para(3028(a,2),7752(a,1,2,2))]. 7775 K(x,(y * z) \ (u \ ((u * y) * z))) = a(x,y,K(z,u)) * a(x,y * z,1). [para(223(a,1),7707(a,1,2,3)),flip(a)]. 7777 K(x,(y * z) \ (u \ ((u * y) * z))) = a(x,y,K(z,u)) * 1. [para(324(a,1),7775(a,2,2))]. 7778 K(x,(y * z) \ (u \ ((u * y) * z))) = a(x,y,K(z,u)). [hyper(262,a,8,a(flip),b,7777,a),flip(a)]. 7780 K(x,((y \ z) * u) \ (y \ ((y * (y \ z)) * u))) = a(x,z,K(u,y)). [hyper(262,a,7208,a(flip),b,7778,a),flip(a)]. 7781 K(x,((y \ z) * u) \ (y \ (z * u))) = a(x,z,K(u,y)). [para(10(a,1),7780(a,1,2,2,2,1))]. 7782 K((x \ y) * z,x \ (y * z)) = a(x \ (y * z),y,K(z,x)). [hyper(3015,a,7781,a)]. 7784 a(x,y,K(z,u)) * K(x,K((u \ y) * z,u \ (y * z))) = K(x,(u \ (y * z)) / ((u \ y) * z)). [para(7781(a,1),4300(a,1,1))]. 7785 K((x \ y) * z,x \ (y * z)) = a(y * z,y,K(z,x)). [hyper(262,a,7206,a(flip),b,7782,a),flip(a)]. 7786 K((x \ y) * z,x \ (y * z)) = 1. [hyper(262,a,7021,a(flip),b,7785,a),flip(a)]. 7788 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(x,z,K(u,y)) * K(x,1). [para(7786(a,1),7784(a,1,2,2)),flip(a)]. 7789 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(x,z,K(u,y)) * 1. [para(225(a,1),7788(a,2,2))]. 7791 K(x,(y \ (z * u)) / ((y \ z) * u)) != w | a(x,z,K(u,y)) = w. [para(7789(a,2),112(a,1)),flip(b)]. 7793 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(K(z,u) * T(w,K(z,u))) \ T(y,K(z,u))). [para(4101(a,1),7682(a,1,2)),flip(a)]. 7794 K(x,T(y / (K(z,u) * w),T(w,K(z,u)))) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [para(98(a,1),7793(a,2,2,1))]. 7795 K(x,T(y / z,y / (z * u))) = K(x,(z * K(z * u,u \ 1)) \ ((z * u) * (y / (z * u)))). [para(12(a,1),7746(a,1,2,1,2))]. 7796 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(2444(a,2),7774(a,1,2))]. 7797 x \ T((y * K(K(z,u),x)) * T(x,K(u,z)),K(u,z)) = K(K(z,u),x) * T(y,x * K(z,u)). [hyper(262,a,4472,a(flip),b,7796,a),flip(a)]. 7798 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(3883(a,1),7796(a,1,2,1,2))]. 7799 T(x,y * K(z,u)) \ T(y * T(T(x,y * K(z,u)),K(z,u)),K(u,z)) = T(y,x * K(z,u)). [hyper(262,a,7410,a(flip),b,7798,a),flip(a)]. 7800 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(3883(a,1),7798(a,1,2))]. 7801 x \ T(y * T(x,K(z,L(u,w,v5))),K(L(u,w,v5),z)) = T(y,R(K(z,u),w,v5) * x). [para(7652(a,2),7798(a,2,2,1))]. 7802 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [hyper(119,a,7800,a),flip(a)]. 7803 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(62,a,7796,a(flip),b,7800,a)]. 7804 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(104,a,7803,a,b,2097,a(flip))]. 7805 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(2153,a,7804,a)]. 7806 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(7804(a,1),2153(a,1))]. 7807 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(2392(a,1),7805(a,1,2)),flip(a)]. 7808 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [para(2496(a,2),7805(a,1,2,1))]. 7809 K(x,K(y,z) * ((y * z) * u)) = K(x,(z * y) * u). [para(2543(a,1),7805(a,1,2)),flip(a)]. 7810 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(3488(a,1),7805(a,1,2)),flip(a)]. 7811 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [para(2450(a,2),7807(a,1,2))]. 7812 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [para(2502(a,2),7807(a,1,2))]. 7813 K(x,K(y,z) * (y \ u)) = K(x,u * T(u \ (y \ u),z)). [para(3563(a,2),7807(a,2,2))]. 7814 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(62,a,7805,a,b,7808,a)]. 7815 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(7808(a,1),5650(a,1,1))]. 7816 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [para(1231(a,1),7812(a,1,2,1)),flip(a)]. 7817 K(x,y) * a(x,z,K(y,T(u,w) \ v5)) = K(x,L(y,z,v5 \ T(u,w \ 1))). [para(7812(a,1),7260(a,1,2,3))]. 7818 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(3010(a,1),7814(a,1,2,1)),flip(a)]. 7819 K(x,T(y * z,z) * u) = K(x,(z * y) * u). [para(2294(a,1),7809(a,1,2))]. 7820 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [para(12(a,1),7819(a,1,2,1,1)),flip(a)]. 7821 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [para(1229(a,2),7820(a,1,2,1))]. 7822 K(x,T(y,z \ 1) * z) = K(x,z * y). [hyper(262,a,3966,a(flip),b,7821,a),flip(a)]. 7823 K(x,T(y,z / u) * (u / z)) = K(x,(u / z) * y). [para(2873(a,1),7822(a,1,2,1))]. 7824 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [para(2144(a,1),7818(a,1,2,1)),flip(a)]. 7825 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(3488(a,1),7824(a,1,2))]. 7826 K(x,T(y,z \ (u \ 1)) * (u / (z \ 1))) = K(x,(u / (z \ 1)) * y). [para(7202(a,1),7823(a,1,2,1))]. 7827 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z * K(y,z),u) * y). [para(2121(a,1),7813(a,1,2,2)),flip(a)]. 7828 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(262,a,7810,a(flip),b,7825,a),flip(a)]. 7829 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(5742(a,1),7828(a,1,2))]. 7830 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,7795,a(flip),b,7829,a)]. 7831 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (((u \ 1) \ 1) \ z))). [para(3305(a,1),7829(a,1,2,2,2)),flip(a)]. 7832 K(x,L(y,z,u \ T(w,v5 \ 1))) = K(x,L(y,z,u \ T(w,v5))). [hyper(7357,a,7817,a),flip(a)]. 7833 K(x,L(y,z,(u / w) \ 1)) = K(x,L(y,z,u \ T(w,u))). [hyper(62,a,7376,a(flip),b,7832,a)]. 7834 K(x,L(y,z,T(u \ w,u))) = K(x,L(y,z,(u / w) \ 1)). [para(215(a,2),7833(a,2,2,3)),flip(a)]. 7835 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(5638,a,7815,a),flip(a)]. 7836 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(3474(a,1),7835(a,1,2,1))]. 7837 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,7836,a(flip),b,7830,a)]. 7838 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(62,a,4833,a(flip),b,7837,a)]. 7839 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(2097(a,2),7838(a,1,2,1))]. 7840 K(x,T(y,z) \ ((y * T(z,y)) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(1172(a,1),7839(a,1,2,1))]. 7841 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(98(a,1),7840(a,1,2,2,1))]. 7842 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(98(a,1),7841(a,1,2,2,2,2))]. 7843 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(4112(a,1),7842(a,2,2))]. 7845 x \ T((y * K(x,K(z,u))) * T(x,K(u,z)),K(u,z)) = K(K(z,u),x) * T(y,x * K(z,u)). [para(3842(a,1),7797(a,1,2,1,1,2))]. 7846 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). [para(23(a,1),7799(a,1,2,1,2))]. 7847 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,K(z,T(u,y)) * y). [para(3949(a,1),7827(a,2,2,1))]. 7848 K(x,(y * z) * T((y * z) \ ((z * K(y,z)) \ (y * z)),u)) = K(x,y * K(z,u)). [para(3923(a,1),7847(a,2,2))]. 7849 K(x,(y * z) * T((y * z) \ y,u)) = K(x,y * K(z,u)). [para(2121(a,1),7848(a,1,2,2,1,2))]. 7850 K(x,y * K(z \ 1,u)) = K(x,y * K(z,u)). [para(2266(a,1),7849(a,1,2))]. 7851 K(x * K(y \ 1,z),u) = 1 / K(u,x * K(y,z)). [para(7850(a,1),2324(a,1,2)),flip(a)]. 7852 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(262,a,2324,a(flip),b,7851,a),flip(a)]. 7853 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(62,a,4019,a(flip),b,7852,a),flip(a)]. 7854 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(4637,a,7853,a)]. 7855 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(4761,a,7854,a)]. 7856 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(262,a,4678,a(flip),b,7855,a)]. 7857 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(595(a,1),7856(a,1,1))]. 7858 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(4154,a,7857,a),flip(a)]. 7859 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(62,a,4574,a,b,7858,a)]. 7860 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(3128,a,7859,a),flip(a)]. 7861 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [hyper(3176,a,7860,a),flip(a)]. 7862 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(2113(a,1),7861(a,1,1,2)),flip(a)]. 7863 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(7862(a,1),2324(a,1,2)),flip(a)]. 7864 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(262,a,2324,a(flip),b,7863,a),flip(a)]. 7865 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(1235(a,1),7864(a,1,2,2,1))]. 7866 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(1229(a,1),7865(a,1,2,2))]. 7867 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(3119(a,1),7865(a,1,2,2))]. 7868 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(62,a,7843,a(flip),b,7866,a),flip(a)]. 7869 K(x,T(y * z,(y * z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(2739(a,1),7868(a,1,2,2,2))]. 7870 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(231(a,1),7831(a,2,2,2,2,1))]. 7871 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(4116(a,1),7870(a,1,2))]. 7872 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(4507(a,1),7871(a,1,2)),flip(a)]. 7873 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(262,a,3938,a(flip),b,7872,a),flip(a)]. 7875 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(62,a,7753,a(flip),b,7873,a)]. 7876 K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(643(a,1),7875(a,1,2,2,1))]. 7877 x \ T((y * K(x,K(z,u))) * T(x,K(z,u)),K(u,z)) = K(K(z,u),x) * T(y,x * K(z,u)). [para(3883(a,1),7845(a,1,2,1,2))]. 7878 T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). [para(3883(a,1),7846(a,1,2))]. 7879 x \ T(y * (K(x,K(z,u)) * T(x,K(z,u))),K(u,z)) = K(K(z,u),x) * T(y,x * K(z,u)). [para(4550(a,1),7877(a,1,2,1))]. 7880 x \ T(y * T(T(x,K(z,u)),K(z,u)),K(u,z)) = K(K(z,u),x) * T(y,x * K(z,u)). [para(2160(a,1),7879(a,1,2,1,2))]. 7881 K(K(x,y),z) * T(u,z * K(x,y)) = z \ T(u * z,K(y,x)). [para(3887(a,1),7880(a,1,2,1,2)),flip(a)]. 7882 K(K(x,y),z) * T(u,z * K(x,y)) = z \ T(u * z,K(x,y)). [para(3883(a,1),7881(a,2,2))]. 7883 K(x,K(y,z)) * T(u,x * K(y,z)) = x \ T(u * x,K(y,z)). [para(3842(a,1),7882(a,1,1))]. 7884 K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). [para(214(a,1),7876(a,1,2,1,2))]. 7885 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(643(a,1),7884(a,1,2,2,2,2))]. 7886 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(62,a,7811,a(flip),b,7885,a)]. 7887 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(214(a,1),7886(a,2,2,2))]. 7888 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(62,a,7866,a(flip),b,7887,a)]. 7889 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(62,a,1444,a(flip),b,7869,a)]. 7890 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(2497(a,1),7889(a,1,2,2,2,2))]. 7891 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(2097(a,2),7890(a,1,2,2,2))]. 7892 K(x,T(y / (z * u),(z * u) \ u)) = K(x,T(z * u,u) \ T(y,T(u,z))). [hyper(2773,a,7891,a),flip(a)]. 7893 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(262,a,7816,a(flip),b,7892,a),flip(a)]. 7894 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(3145(a,1),7893(a,1,2))]. 7895 K(x,T(y / (z * u),T(z,u))) = K(x,(u * z) \ T(y,T(u,z))). [hyper(4164,a,7894,a)]. 7896 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T((z * u) \ z,z * u))). [para(2731(a,1),7895(a,2,2,1))]. 7897 K(x,T(((y \ z) * y) \ (z * u),K(z / y,y))) = K(x,(u * z) / (K(z / y,y) * z)). [para(2383(a,1),7685(a,1,2,1,1)),flip(a)]. 7898 K(x,T(((y \ z) * y) \ (z * u),K(z / y,y))) = K(x,(u * z) / ((y \ z) * y)). [para(2020(a,1),7897(a,2,2,2))]. 7899 x * a(y,z \ K(K(y,u),z),K(u,(z \ K(K(y,u),z)) \ x)) = K(y,u) * ((z \ K(y,K(u,z))) * (((z \ 1) * K(y,u)) \ x)). [para(3801(a,1),7770(a,2,2,1,2))]. 7900 x * a(y,z \ K(K(y,u),z),K(u,(z \ K(K(y,u),z)) \ x)) = K(y,u) * ((z \ K(y,K(u,z))) * ((z \ K(y,u)) \ x)). [para(7099(a,1),7899(a,2,2,2,1))]. 7901 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z / (z * u))). [para(4114(a,1),7896(a,2,2,2))]. 7902 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,z \ (u \ z))). [para(4134(a,1),7901(a,2,2,2))]. 7903 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(u \ 1,z * u)) \ T(y,T(u,z))). [hyper(262,a,7867,a(flip),b,7902,a),flip(a)]. 7904 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,(z * K(z,u)) \ T(y,T(u,z))). [para(2497(a,1),7903(a,2,2,1,2))]. 7905 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(z,u) \ T(y,T(u,z))). [para(2097(a,2),7904(a,2,2,1))]. 7906 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(262,a,7888,a(flip),b,7905,a),flip(a)]. 7907 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(10(a,1),7906(a,1,2,1,2))]. 7908 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(633(a,1),7907(a,1,2,2))]. 7909 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(170(a,1),7908(a,1,2,2)),flip(a)]. 7910 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(11(a,1),7909(a,1,2,1)),flip(a)]. 7911 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(77(a,1),7909(a,1,2,2)),flip(a)]. 7912 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(11(a,1),7910(a,1,2,1)),flip(a)]. 7913 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(4163,a,7912,a)]. 7916 K(x,T(y,z * (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(7912(a,1),4164(a,1))]. 7918 L(K(x,T(y,z * u)),u \ z,u) = z \ (u * (K(x,y) * (u \ z))). [para(7913(a,1),3416(a,1,1))]. 7920 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(658(a,1),7911(a,1,2,2))]. 7921 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(7916,a,7920,a)]. 7923 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(7921(a,1),4903(a,1,1))]. 7924 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(4820,a,7923,a)]. 7925 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(4079,a,7924,a)]. 7926 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(262,a,3834,a,b,7924,a),flip(a)]. 7927 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(7924(a,2),4058(a,1))]. 7932 K(x,K(y / z,u)) = K(x,K(z \ y,u)). [para(100(a,1),7925(a,1,2,1)),flip(a)]. 7933 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(3430(a,1),7925(a,1,2)),flip(a)]. 7937 K(x,T(L(K(y,z),u,w),v5)) = K(x,K(z,1 / L(1 / y,u,w))). [hyper(62,a,4082,a(flip),b,7926,a)]. 7938 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(170(a,1),7926(a,1,2,2))]. 7939 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(7926(a,1),3475(a,1,2)),flip(a)]. 7941 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(3995(a,1),7926(a,1,2))]. 7943 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [hyper(4057,a,7932,a),flip(a)]. 7944 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(4068,a,7933,a)]. 7945 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(x / w,u / (z * y))). [hyper(262,a,4282,a,b,7933,a)]. 7946 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(7066(a,2),7933(a,2,2)),flip(a)]. 7948 K(x,K(y,z * u)) = K(y,K(x,u * z)). [hyper(4056,a,7938,a)]. 7949 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(7938(a,1),4056(a,1))]. 7950 K(x,K(y,z * u)) * K(x,y / (u * z)) = K(x,(u * z) \ y). [para(7938(a,1),4299(a,1,1))]. 7951 T(x,K(y,K(z,u))) = x. [hyper(3898,a,7939,a)]. 7952 (x \ y) * K(x,K(z,u)) = T(x,K(z,u)) \ y. [hyper(3867,a,7939,a),flip(a)]. 7953 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(3811,a,7939,a),flip(a)]. 7954 (x * y) * K(x,K(z,u)) = T(x,K(z,u)) * y. [hyper(2342,a,7939,a),flip(a)]. 7955 x / K(y,K(z,u)) = K(y,K(z,u)) \ x. [hyper(265,a,7939,a)]. 7956 K(x,K(y,z)) * (u \ 1) = u \ K(x,K(y,z)). [hyper(262,a,7099,a(flip),b,7939,a),flip(a)]. 7957 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(262,a,3868,a(flip),b,7939,a),flip(a)]. 7958 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(262,a,3823,a(flip),b,7939,a),flip(a)]. 7960 K(x,K(y,z)) \ (u * K(x,K(y,z))) = u. [hyper(108,a,7939,a)]. 7961 x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). [hyper(57,a,7939,a)]. 7962 T(K(x,K(y,z)) * u,w) = T(u * K(x,K(y,z)),w). [hyper(33,a,379,a(flip),b,7939,a),flip(a)]. 7963 L(K(x,K(y,z)) \ (u \ w),K(x,K(y,z)),u) = (K(x,K(y,z)) * u) \ w. [para(7939(a,2),253(a,2,1))]. 7964 L((K(x,K(y,z)) \ u) / w,w,K(x,K(y,z))) = (w * ((w * K(x,K(y,z))) \ u)) / w. [para(7939(a,1),791(a,2,1,2,1))]. 7965 L(x \ (K(K(y,z),u) * w),x,K(u,K(y,z))) = (x * K(u,K(y,z))) \ w. [para(7939(a,1),2404(a,2,1))]. 7967 x * K(y,K(z,u)) != w | K(y,K(z,u)) * w = x. [para(7939(a,1),3864(a,1))]. 7968 K(x,y) * (z * K(x,K(y,u))) != w | K(x,T(y,u)) * z = w. [para(7939(a,1),4626(a,1,2))]. 7971 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(4175,a,7951,a)]. 7974 x * T(y,T(x,K(z,u))) = y * x. [hyper(62,a,3178,a(flip),b,7951,a)]. 7975 K(x,K(y,K(z,u))) = 1. [hyper(54,a,7951,a)]. 7976 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(7951(a,1),203(a,1)),flip(a)]. 7978 x \ T(y * x,K(z,K(u,w))) = T(y,K(K(u,w),z) * x). [para(7951(a,1),7796(a,1,2,1,2))]. 7979 K(K(x,y),K(z,u)) = 1. [hyper(4062,a,7975,a)]. 7980 T(K(x,y),K(z,u)) = K(x,y). [hyper(55,a,7979,a)]. 7981 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(4036,a,7980,a),flip(a)]. 7982 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(3556,a,7980,a),flip(a)]. 7987 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(7980(a,1),98(a,1,2))]. 7988 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(7980(a,1),249(a,1,2))]. 7992 T(K(x,y),K(z,u)) != w | K(x,y) = w. [para(7980(a,1),2356(a,1,1)),flip(b)]. 7993 T(K(x,y),T(z,u)) = T(K(x,y),z). [para(7980(a,1),3783(a,1,1)),flip(a)]. 7994 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(7980(a,1),4029(a,1))]. 7996 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(7980(a,1),4036(a,1))]. 8001 K(x,T(y,T(z,u))) = T(K(x,y),z). [hyper(3543,a,7993,a)]. 8003 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(262,a,3399,a,b,7993,a),flip(a)]. 8005 K(x,T(y,T(z,u))) = K(x,T(y,z)). [hyper(262,a,3399,a,b,8001,a),flip(a)]. 8009 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(8003(a,1),4882(a,1,2))]. 8011 K(x \ y,T(z,T(x,u))) = (T(y \ x,z) * y) \ T(x,y). [hyper(262,a,3522,a,b,8005,a),flip(a)]. 8013 K(x,T(y / (K(z,u) * w),w)) = K(x,(w * K(z,u)) \ T(y,K(z,u))). [hyper(62,a,7794,a(flip),b,8005,a),flip(a)]. 8017 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(3406(a,1),7992(a,1))]. 8018 K(x,(y * z) / ((u \ z) * u)) = K(x,((u \ z) * u) \ (z * y)). [hyper(7994,a,7898,a),flip(a)]. 8019 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(7994,a,7675,a),flip(a)]. 8022 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(2721(a,1),7994(a,1,2,2))]. 8024 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(4174(a,1),7994(a,1,2))]. 8025 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(4440(a,1),7994(a,1,2))]. 8026 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(7943(a,1),4057(a,1))]. 8027 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(7943(a,2),4057(a,1))]. 8028 K(x,y * z) * K(x,K(z \ 1,L(y,z,1 / z))) = K(x,z * y). [para(7943(a,2),4722(a,1,2))]. 8029 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(18(a,2),7944(a,2,2,2))]. 8030 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(7944(a,1),4068(a,1))]. 8031 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(7948(a,1),4056(a,1))]. 8032 x * (K(y,K(z,u)) * w) != v5 | x * (w * K(y,K(z,u))) = v5. [para(7960(a,1),267(a,1,2,2))]. 8033 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(7971(a,1),7802(a,2,2))]. 8034 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(7806,a,7981,a)]. 8035 K(x,K(y,z) * (u * z)) = K(x,u * T(z,y \ z)). [para(2936(a,1),7981(a,2,2))]. 8036 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(7097(a,1),7981(a,2,2))]. 8037 K(x,T(1 / (y * z),y)) = K(x,K(u,1 / u) / (z * y)). [hyper(262,a,7681,a,b,7982,a)]. 8042 K(x,K(y,z) * (u * z)) = K(x,u * T(z,y)). [para(2905(a,1),8034(a,2,2))]. 8043 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(3403(a,2),7927(a,1,2))]. 8044 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(3931(a,1),7927(a,1,2))]. 8045 K(x,K(y,z)) * (u \ K(x,K(y,z))) = u \ 1. [hyper(3864,a,7956,a)]. 8046 K(x,K((K(y,z) * u) * T(w,u),w * u) * (v5 \ ((K(y,z) * u) * T(w,u)))) = K(x,v5 \ (w * (u * K(y,z)))). [para(7739(a,1),8036(a,2,2,2))]. 8047 x * K(y,K(z,u)) != w | K(y,K(u,z)) * x = w. [para(3843(a,1),7976(a,1,2))]. 8049 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(7203(a,2),8024(a,1,2))]. 8050 K(x,T(y,z / u)) = K(x,T(y,z * u)). [hyper(8025,a,7913,a)]. 8051 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(8025,a,7677,a(flip)),flip(a)]. 8052 K(x,T(y,z * u)) != w | K(x,T(y,z / u)) = w. [para(7913(a,1),8025(a,1))]. 8053 K(x,T(y,z * (u \ z))) = K(x,T(y,u)). [para(74(a,1),8050(a,1,2,2)),flip(a)]. 8054 K(x,L(T(y,z * (u \ z)),w,v5)) = K(L(x,w,v5),T(y,u)). [hyper(6097,a,8053,a)]. 8055 K(x,K(y * (x / z),u)) != w | K(x,K(u,y \ z)) = w. [para(7391(a,2),8026(a,1))]. 8057 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(7066(a,2),8030(a,1,2))]. 8058 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(94(a,1),8031(a,1,2,2))]. 8063 K(x,y \ z) != u | K(x,K(y,z)) * K(x,z / y) = u. [para(4304(a,1),8047(a,1))]. 8064 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(262,a,3409,a,b,7958,a),flip(a)]. 8065 K(K(x,K(y,z)) * u,w) * (u * K(x,K(y,z))) = T(K(x,K(y,z)) * u,w). [hyper(2146,a,7961,a),flip(a)]. 8066 K(x,y * T(z,u \ z)) = K(x,y * T(z,u)). [hyper(62,a,8042,a(flip),b,8035,a),flip(a)]. 8067 K(x,y * T(z,u \ 1)) = K(x,y * T(z,u)). [hyper(2761,a,8066,a)]. 8068 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(890(a,1),8066(a,1,2,2)),flip(a)]. 8069 K(x,y * T(z,y \ 1)) = K(x,z * y). [para(98(a,1),8067(a,2,2))]. 8070 K(x,y * T(z * u,u)) = K(x,y * (u * z)). [para(1231(a,1),8067(a,1,2,2)),flip(a)]. 8071 K(x,(y \ K(z,u)) * T(w,K(u,z) * y)) = K(x,w * (y \ K(z,u))). [para(7163(a,1),8069(a,1,2,2,2))]. 8072 K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). [para(215(a,1),8068(a,1,2,2))]. 8073 K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). [para(698(a,1),8068(a,1,2,2))]. 8074 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(8064(a,2),42(a,1))]. 8076 K(x,K(y,(z * u) / w)) * (v5 * K(x,y)) = v5 * K(x,T(y,L(z / (w / u),w,u))). [para(7686(a,1),8064(a,1,1,2))]. 8077 K(x,K(y,z * u)) * (w * K(x,y)) = w * K(x,T(y,u \ z)). [para(7913(a,2),8064(a,2,2))]. 8078 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(7938(a,1),8057(a,1))]. 8079 T(x,K(K(y,z),u) * w) = w \ (x * w). [para(7951(a,1),7978(a,1,2)),flip(a)]. 8080 T(x,K(K(y,z),u) * w) = T(x,w). [hyper(262,a,22,a,b,8079,a),flip(a)]. 8082 T(x,K(y,K(z,u)) * w) = T(x,w). [hyper(62,a,7803,a,b,8080,a)]. 8083 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [para(8080(a,1),7804(a,1,2)),flip(a)]. 8084 K(K(x,K(y,z)) * u,w) = w / T(w,u). [para(8082(a,1),2059(a,2,2))]. 8088 T(x,y \ K(z,K(u,w))) = T(x,y \ 1). [para(7956(a,1),8082(a,1,2))]. 8089 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(262,a,2061,a,b,8083,a),flip(a)]. 8090 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(8083(a,2),2153(a,1))]. 8091 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(7996,a,8089,a)]. 8092 K(x,(K(y,z) * u) * w) = K(x,(u * K(y,z)) * w). [hyper(62,a,7809,a(flip),b,8089,a)]. 8093 K(x,y / T(z,K(u,w))) = K(x,y / z). [para(7957(a,1),8089(a,1,2))]. 8094 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [para(3093(a,1),8091(a,1,2)),flip(a)]. 8095 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(4240(a,1),8091(a,1,2))]. 8096 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(262,a,2059,a,b,8084,a),flip(a)]. 8097 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(8084(a,2),2114(a,1))]. 8100 K((K(x,y) * z) \ u,w) = K((z * K(x,y)) \ u,w). [para(4508(a,1),8096(a,1,1)),flip(a)]. 8101 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(7957(a,1),8096(a,1,1))]. 8102 K(x,y / T(K(z,u) * w,K(v5,v6))) = K(x,y * (w \ K(u,z))). [hyper(262,a,7183,a(flip),b,8093,a),flip(a)]. 8103 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(262,a,7675,a,b,8101,a)]. 8104 K(x,T(y,K(z,u)) / w) != v5 | K(x,y / w) = v5. [para(3329(a,1),8090(a,1,2))]. 8105 K(x,T(y,K(z,u)) \ w) != v5 | K(x,y \ w) = v5. [para(3863(a,1),8090(a,1,2))]. 8106 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(4508(a,1),8090(a,1,2))]. 8108 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(7957(a,1),8097(a,1,1))]. 8109 K(x,y * (T(z,K(u,w)) * v5)) = K(x,y * (z * v5)). [para(2608(a,1),8095(a,1,2,2))]. 8110 K(x,y * (T(z,K(u,w)) \ v5)) = K(x,y * (z \ v5)). [para(7952(a,1),8095(a,1,2,2))]. 8111 K(x,(y * K(z,u)) / w) != v5 | K(x,(K(z,u) * y) / w) = v5. [para(170(a,1),8104(a,1,2,1))]. 8112 K(x,(L(K(y,z),u,w) * v5) \ v6) != v7 | K(x,(v5 * L(K(y,z),u,w)) \ v6) = v7. [para(4479(a,1),8105(a,1,2,1))]. 8113 K(x * ((x \ 1) / y),(K(z,u) * w) * v5) = K((w * K(z,u)) * v5,y). [hyper(262,a,7140,a(flip),b,8092,a),flip(a)]. 8114 K(x,y \ z) * T(y,z) = T(z \ y,x) * z. [hyper(3042,a,8011,a)]. 8115 T(x \ y,z) \ y = T(y \ x,z) * y. [hyper(2587,a,8114,a)]. 8116 (T(x \ y,z) * x) \ x = T(T(y \ x,z),x). [para(8115(a,1),634(a,2,1)),flip(a)]. 8117 L(T(x \ 1,y),x,z) \ z = T(z \ (z * x),y) * z. [para(337(a,1),8115(a,1,1))]. 8118 L(x / T(y \ 1,z),T(y \ 1,z),T(1 \ y,z) * 1) = x * (T(y \ 1,z) \ 1). [para(8115(a,1),1301(a,1,3))]. 8119 K(T(x \ y,z),T(u,x)) = K(u,T(T(y \ x,z),x)). [para(8116(a,1),3502(a,1,2)),flip(a)]. 8120 K(x \ y,T(T(z,x),u)) = K(z,T(T(y \ x,u),x)). [hyper(3539,a,8119,a)]. 8121 K(x,T(T(y \ z,u),z)) = K(y / z,T(x,u)). [hyper(4152,a,8120,a),flip(a)]. 8122 K(x / y,T(x,z)) = K(x,T(y,z)). [hyper(3567,a,8121,a),flip(a)]. 8123 (x / y) * K(x,T(y,z)) = T(y \ x,K(x,z)). [para(8122(a,1),3796(a,1,2))]. 8124 x / T(y,T(x,z)) = T(y \ x,K(x,z)). [hyper(3454,a,8123,a)]. 8125 L(T(x \ 1,y),x,z) \ z = T(x,y) * z. [para(9(a,1),8117(a,2,1,1))]. 8126 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [hyper(3893,a,8033,a)]. 8128 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(262,a,1435,a(flip),b,8037,a),flip(a)]. 8129 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(4231,a,8128,a)]. 8130 K(x,L(T(y,z * (u \ z)),w,v5)) = K(x,L(T(y,u),w,v5)). [hyper(262,a,6063,a(flip),b,8054,a),flip(a)]. 8131 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(8126(a,1),7878(a,1,2))]. 8132 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,z * u),w,v5)). [para(77(a,1),8130(a,1,2,1,2,2)),flip(a)]. 8133 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(262,a,7933,a,b,7941,a),flip(a)]. 8134 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(11(a,1),8133(a,1,2,2,1)),flip(a)]. 8135 K(x,K(y,T(L(z,u / z,w),u / z))) = K(x,K(y,(w * u) / (w * (u / z)))). [para(3996(a,2),8133(a,1,2))]. 8137 K(x,T(L(K(y,z),u,w),v5)) = K(x,1 / L(K(y,z),u,w)). [para(2730(a,1),7937(a,2,2))]. 8138 K(x,T(L(K(y,z),u,w),v5)) = K(x,L(K(y,z),u,w)). [hyper(262,a,5231,a(flip),b,8137,a),flip(a)]. 8140 K(x,T(L(K(y,z),u,w),v5)) != v6 | K(x,K(z,L(y,u,w))) = v6. [para(8138(a,2),4335(a,1))]. 8141 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(9(a,1),8019(a,1,1,1,1))]. 8142 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(34,a,8064,a,b,8077,a)]. 8143 K(x,K(y,z / u)) = K(x,K(y,z * u)). [hyper(8030,a,8142,a)]. 8144 K(x,K(y,z * u)) * K(y,(u \ z) \ x) = K(y,x / (u \ z)). [para(8142(a,1),4292(a,1,1))]. 8145 K(x,K(y,z * u)) * K(x,(u \ z) \ y) = K(x,y / (u \ z)). [para(8142(a,1),4296(a,1,1))]. 8147 K(x,K(y,z * u)) * K((w * y) \ w,(z \ u) \ x) = K((w * y) \ w,x / (z \ u)). [para(8142(a,1),4294(a,1,1))]. 8148 K(K(x,y),z * u) = K(x,K(y,z / u)). [hyper(262,a,3801,a,b,8143,a)]. 8149 K(x,K(y,z * u)) * K(x,y / (z * (u \ 1))) = K(x,(z * (u \ 1)) \ y). [para(8143(a,1),6627(a,1,1))]. 8150 K(x,K(y,z * u)) * K(x,(u * (z \ y)) \ y) = K(x,y / (u * (z \ y))). [para(8143(a,1),7287(a,1,1))]. 8151 K(x,K(y,z * u)) * K(x,y \ (z * (u \ y))) = K(x,(z * (u \ y)) / y). [para(8143(a,1),7388(a,1,1))]. 8152 K(x,K(y,z * u)) != w | K(x,K(y,u \ z)) = w. [para(8143(a,1),8026(a,1))]. 8153 K(K(x,y),z / u) = K(K(x,y),z * u). [hyper(262,a,3801,a,b,8148,a)]. 8154 (T(x \ y,K(z,u)) * x) \ T(y,x) = K(K(z,u),y * x). [hyper(62,a,4016,a,b,8153,a)]. 8155 (T(x \ y,K(z,u)) * x) \ (x \ (y * x)) = K(K(z,u),y * x). [para(22(a,1),8154(a,1,2))]. 8156 K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). [para(170(a,1),8102(a,1,2,2))]. 8157 K(x,y / (z * T(u,w \ u))) = K(x,y * ((z * u) \ K(u,w))). [para(2936(a,1),8156(a,1,2,2))]. 8158 a(x,y,K(z,u * (w \ K(v5,v6)))) * K(x,z) = K(x,L(z,y,(u / (w * K(v6,v5))) \ 1)). [para(8156(a,1),7264(a,1,1,3))]. 8159 K(x,K(y,z * u)) * w != K(y,x / (u \ z)) | K(y,(u \ z) \ x) = w. [para(8144(a,1),42(a,1)),flip(a)]. 8160 K(x,K(y,z * u)) * K(x,(z \ u) \ y) = K(x,y / (z \ u)). [para(7948(a,1),8144(a,1,1))]. 8161 x \ T(y * x,K(z,u)) = T(x \ y,K(z,u)) * x. [hyper(38,a,7127,a,b,8155,a)]. 8162 K(x,L(T(y,z * u),u \ z,u)) = z \ (u * (K(x,y) * (u \ z))). [hyper(6094,a,7918,a)]. 8163 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(262,a,4013,a(flip),b,7945,a),flip(a)]. 8164 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(8027,a,8163,a)]. 8165 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(22(a,2),8164(a,1,2,1,1))]. 8166 x \ (y * (K(z,u) * (y \ x))) = K(z,L(T(u,x * y),x,y)). [hyper(62,a,7347,a(flip),b,8162,a),flip(a)]. 8167 x * K(y,L(T(z,x * u),x,u)) = u * (K(y,z) * (u \ x)). [hyper(119,a,8166,a)]. 8168 x \ (y * (K(z,u) * (y \ x))) != w | K(z,L(T(u,x * y),x,y)) = w. [para(8167(a,1),266(a,1,2))]. 8169 x * K(y,L(T(z,x / u),x,u \ 1)) = (u \ 1) * (K(y,z) * ((u \ 1) \ x)). [para(7199(a,1),8167(a,1,2,2,1))]. 8170 ((x * K(y,z)) * u) * K(w,L(T(v5,((x * K(y,z)) * u) * x),(x * K(y,z)) * u,x)) = x * (K(w,v5) * ((x * K(z,y)) \ (x * u))). [para(7764(a,2),8167(a,2,2,2))]. 8172 K(x,(y * K(z,u)) \ T(w * (K(z,u) * y),K(z,u))) = K(x,T(w,y)). [para(11(a,1),8013(a,1,2,1)),flip(a)]. 8173 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K((x * L(K(z,u),w,v5)) \ y,v8). [hyper(8022,a,8103,a),flip(a)]. 8174 K(x,((K(y,z) \ u) * K(y,z)) \ T(w * u,K(y,z))) = K(x,T(w,K(y,z) \ u)). [para(10(a,1),8172(a,1,2,2,1,2))]. 8175 L(K(x,K(y,z)) * (u \ w),K(x,K(y,z)),u) = (K(x,K(y,z)) * u) \ w. [para(3862(a,1),7963(a,1,1))]. 8176 L(x \ (K(y,K(z,u)) * w),x,K(y,K(z,u))) = (x * K(y,K(z,u))) \ w. [para(3842(a,1),7965(a,1,1,2,1))]. 8179 K(x,y) * (x * K(z,K(u,w))) = T(K(z,K(u,w)) * x,y). [para(8096(a,1),8065(a,1,1))]. 8180 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(2342,a,8179,a),flip(a)]. 8182 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [hyper(262,a,7939,a,b,8180,a),flip(a)]. 8183 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(62,a,7962,a(flip),b,8180,a)]. 8184 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [hyper(62,a,7962,a(flip),b,8182,a)]. 8186 T(x * K(y,K(z,u)),w * K(v5,v6)) = T(x,K(v5,v6) * w) * K(y,K(z,u)). [hyper(62,a,7971,a(flip),b,8183,a)]. 8187 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(8183(a,2),3854(a,1,1))]. 8188 T(x * K(y,K(z,u)),y * K(z,u)) = y \ T(x * y,K(z,u)). [hyper(262,a,7883,a(flip),b,8184,a),flip(a)]. 8189 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(7953(a,1),8187(a,1,1,1))]. 8190 T(x * K(y,K(z,u)),y * K(z,u)) = T(y \ x,K(z,u)) * y. [hyper(262,a,8161,a(flip),b,8188,a),flip(a)]. 8191 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(62,a,4628,a(flip),b,8131,a)]. 8192 K(x,y / (z * (u \ 1))) * K(x,K(y,z * u)) = K(x,(z * (u \ 1)) \ y). [hyper(7988,a,8149,a)]. 8193 K(x,y * T(z * K(u,K(w,v5)),v6 * K(v7,v8))) = K(x,y * T(z,K(v7,v8) * v6)). [para(8186(a,2),8095(a,1,2,2))]. 8194 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(2433,a,8189,a),flip(a)]. 8195 K(x,y / (z * (T(u,T(z,w)) \ 1))) * K(x,K(y,T(u * z,K(z,w)))) = K(x,(z * (T(u,T(z,w)) \ 1)) \ y). [para(3178(a,2),8192(a,1,2,2,2))]. 8196 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(3399(a,2),8194(a,1,2))]. 8197 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(3449,a,8196,a),flip(a)]. 8198 K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(62,a,4821,a,b,8197,a)]. 8199 K(x,T(L(K(y,z),u,w),u / z)) = K(x,K(y,(w * u) / (w * (u / z)))). [para(5242(a,1),8135(a,1,2))]. 8200 K(x,K(y,(z * u) / (z * (u / w)))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(8199(a,1),8140(a,1))]. 8201 x * K(y,L(T(z,x * u),x,u \ 1)) = (u \ 1) * (K(y,z) * ((u \ 1) \ x)). [para(8132(a,1),8169(a,1,2))]. 8202 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(z,u) \ y)). [hyper(62,a,1445,a(flip),b,8174,a)]. 8203 K(x,T(y,K(z,u)) \ T(w * y,K(z,u))) = K(x,T(w,K(u,z) * y)). [para(2389(a,1),8202(a,2,2,2))]. 8204 K(x,y \ T(z * y,K(u,w))) = K(x,T(z,K(w,u) * y)). [hyper(8105,a,8203,a)]. 8205 K(x,T(y * z,K(u,w)) / y) = K(x,T(z,K(w,u) * y)). [hyper(4156,a,8204,a)]. 8206 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(8104,a,8205,a),flip(a)]. 8208 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(262,a,3935,a(flip),b,8206,a),flip(a)]. 8209 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(8052,a,8208,a)]. 8210 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [hyper(8024,a,8208,a)]. 8211 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(L(x,v5,v6),T(y,w)). [hyper(6097,a,8208,a)]. 8215 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(8209(a,1),3923(a,1,1))]. 8219 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(2913(a,1),8210(a,1,2,2))]. 8220 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(8210(a,1),3923(a,1,1))]. 8222 T(K(x,T(y,z)) * z,K(u,w)) = T(z,K(u,w)) * K(x,y). [para(8210(a,1),7697(a,1,1,1))]. 8223 K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. [para(8210(a,1),7665(a,1))]. 8224 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(4046,a,8219,a)]. 8226 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). [hyper(262,a,6063,a(flip),b,8211,a),flip(a)]. 8227 K(x,L(T(y,K(z,u) * w),v5,v6)) != v7 | K(x,L(T(y,w),v5,v6)) = v7. [para(8211(a,2),6097(a,1))]. 8228 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(62,a,7190,a(flip),b,8215,a)]. 8229 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(62,a,7299,a,b,8228,a)]. 8230 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(181,a,8220,a(flip),b,4624,a),flip(a)]. 8232 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(1417(a,1),8220(a,1,1))]. 8233 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [para(3923(a,1),8222(a,1,1))]. 8234 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(2847,a,8233,a),flip(a)]. 8241 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(8234(a,2),8191(a,1,2))]. 8242 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(34,a,3849,a,b,8230,a)]. 8244 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(8031,a,8242,a)]. 8245 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(4167,a,8242,a)]. 8246 K(x,K(y,z * K(u,w))) = K(z,K(x,y)). [hyper(262,a,3834,a(flip),b,8242,a),flip(a)]. 8247 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(2903(a,1),8242(a,1,2,2)),flip(a)]. 8248 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(3151(a,2),8242(a,1,2,2))]. 8249 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(2913(a,1),8242(a,1,2,2))]. 8250 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(3157(a,2),8242(a,1,2,2))]. 8251 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(3627(a,1),8242(a,1,2,2)),flip(a)]. 8252 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(5787(a,1),8242(a,1,2,2))]. 8256 K(x,K(y,(z * u) * w)) = K(x,K(y,(u * z) * w)). [para(2543(a,1),8244(a,1,2,2))]. 8258 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(2775(a,1),8244(a,1,2,2)),flip(a)]. 8259 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(2834(a,1),8244(a,1,2,2)),flip(a)]. 8260 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(7701(a,1),8244(a,1,2,2))]. 8261 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(262,a,3843,a,b,8245,a),flip(a)]. 8262 K(x,K(y,K(z,u) \ w)) = K(w,K(x,y)). [hyper(8152,a,8246,a)]. 8263 T(x,K(y,z * K(u,w))) = x * K(z,K(x,y)). [para(8246(a,1),2097(a,2,2))]. 8264 K(x * (y / z),K(u,w)) = K(u,K(w,x * (z \ y))). [para(3192(a,1),8246(a,1,2,2)),flip(a)]. 8265 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(4314,a,8261,a)]. 8266 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(4089,a,8261,a),flip(a)]. 8267 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(4057,a,8261,a)]. 8268 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(8261(a,1),4089(a,1))]. 8269 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(4244,a,8266,a)]. 8270 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1512(a,1),8266(a,1,2,1))]. 8272 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(262,a,8266,a,b,8267,a),flip(a)]. 8273 T(x,K(y,z * K(u,w))) = T(x,K(z,y)). [hyper(262,a,3836,a(flip),b,8263,a),flip(a)]. 8274 T(x,K(y,K(z,u) * w)) = T(x,K(w,y)). [para(2979(a,1),8273(a,1,2,2))]. 8275 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(262,a,3883,a,b,8274,a),flip(a)]. 8277 x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). [para(8275(a,1),7796(a,1,2,1,2))]. 8278 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(62,a,8165,a(flip),b,8270,a),flip(a)]. 8281 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(8249(a,2),4238(a,1,1))]. 8283 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1512(a,1),8251(a,1,2,2,1))]. 8284 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(3565(a,1),8251(a,1,2,2,1))]. 8285 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(8251(a,2),8031(a,1))]. 8286 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(4068,a,8252,a)]. 8287 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(8057,a,8259,a)]. 8288 K(x,K(y,z * u)) * K(x,(z * (K(w,v5) * u)) \ y) = K(x,y / (z * (K(w,v5) * u))). [para(8259(a,1),4296(a,1,1))]. 8290 K(x,K(y * (z / u),w)) = K(x,K(w,y * (u \ z))). [hyper(4056,a,8264,a)]. 8291 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(K(v5,v6) / y,y,v7))). [hyper(62,a,5458,a(flip),b,8272,a),flip(a)]. 8292 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [hyper(262,a,3873,a,b,8286,a)]. 8293 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(8286(a,1),4068(a,1))]. 8294 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(8286(a,2),4068(a,1))]. 8295 K(x,K(y,z * (u \ x))) = K(x,K(y,z \ u)). [hyper(8055,a,8290,a),flip(a)]. 8296 K(x,K(y,z * (u \ x))) = K(x,K(y,u * z)). [hyper(262,a,8142,a(flip),b,8295,a),flip(a)]. 8297 K(x,K(y,z * u)) * K(x,y / ((z \ x) * u)) = K(x,((z \ x) * u) \ y). [para(8296(a,1),7950(a,1,1))]. 8298 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(262,a,8134,a(flip),b,8292,a),flip(a)]. 8299 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = K(x,K(y,a(w,z,z \ u))). [para(863(a,1),8292(a,1,2,2)),flip(a)]. 8300 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(8292(a,1),4068(a,1))]. 8301 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(8031,a,8260,a)]. 8302 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(262,a,4241,a,b,8265,a),flip(a)]. 8304 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [para(2979(a,1),8269(a,1,2,2,1))]. 8305 K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((u \ z) / w) * v5)). [para(100(a,1),8283(a,1,2,2,1,1)),flip(a)]. 8306 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(184(a,1),8283(a,1,2,2,1,1)),flip(a)]. 8307 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(262,a,7946,a(flip),b,8287,a),flip(a)]. 8308 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(4068,a,8307,a)]. 8309 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(2615(a,1),8307(a,1,2,2,1))]. 8310 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(3374(a,1),8308(a,1,2,2,2))]. 8311 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(3956(a,1),8308(a,1,2,2,2)),flip(a)]. 8312 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(8311(a,1),8064(a,1,1))]. 8313 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(62,a,8286,a(flip),b,8309,a)]. 8314 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(100(a,1),8313(a,1,2,2,2,1)),flip(a)]. 8316 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(62,a,7556,a(flip),b,8278,a)]. 8317 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(3897(a,1),8278(a,1,2,1))]. 8318 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(2899(a,1),8285(a,1,2,2))]. 8319 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(2912(a,1),8285(a,1,2,2,1))]. 8320 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(7938(a,1),8285(a,1))]. 8321 K(x,K(y,((z * u) * (w / u)) / w)) = K(x,K(y,L(z,u,w / u))). [para(12(a,1),8298(a,1,2,2,2))]. 8322 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(81(a,1),8320(a,1,2,2,2))]. 8323 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(5331(a,1),8320(a,1,2,2,2))]. 8325 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(62,a,7352,a(flip),b,8232,a),flip(a)]. 8326 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(62,a,8229,a(flip),b,8325,a),flip(a)]. 8327 K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). [para(8326(a,2),5702(a,2,2))]. 8328 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(792(a,1),8284(a,1,2,2,1,1)),flip(a)]. 8329 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [hyper(8031,a,8305,a),flip(a)]. 8330 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(8031,a,8306,a)]. 8331 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(262,a,3873,a,b,8310,a),flip(a)]. 8332 K(x,K(y,((z \ u) / w) * v5)) != v6 | K(x,K(y,((u / z) / w) * v5)) = v6. [para(8329(a,2),8031(a,1))]. 8333 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(8330(a,1),8031(a,1))]. 8334 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(8293,a,8331,a)]. 8335 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(8334(a,2),8293(a,1))]. 8336 K(x,L(T(y,z * (K(u,w) * v5)),v6,v7)) != v8 | K(x,L(T(y,z * v5),v6,v7)) = v8. [para(5819(a,1),8227(a,1,2,1,2))]. 8337 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(2203(a,1),8335(a,1,2,2,2,2))]. 8338 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(3026(a,1),8241(a,1,2,1))]. 8339 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(262,a,8302,a(flip),b,8291,a),flip(a)]. 8341 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(262,a,4337,a(flip),b,8339,a),flip(a)]. 8342 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(8268,a,8341,a)]. 8344 K(x,y / ((z \ x) * u)) * K(x,K(y,z * u)) = K(x,((z \ x) * u) \ y). [hyper(7988,a,8297,a)]. 8345 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(8074,a,8312,a),flip(a)]. 8346 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(2912(a,1),8345(a,1,2,2,1))]. 8347 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(4162,a,8346,a)]. 8348 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(262,a,5502,a(flip),b,8347,a),flip(a)]. 8349 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(100(a,1),8347(a,1,2,2,2,2)),flip(a)]. 8350 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(8347(a,1),2285(a,1,1)),flip(a)]. 8351 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(7116(a,1),8338(a,1,2))]. 8352 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(2389(a,1),8351(a,1,2))]. 8353 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(3572,a,8352,a)]. 8354 K((x \ y) / (z / u),L(y,z,u)) * K(y,K(z,x * u)) = K(y,((x \ y) * u) \ z). [para(7723(a,2),8344(a,1,1))]. 8355 K(x,y * (T(z \ u,K(w,v5)) * z)) = K(x,y * T(u,K(w,v5) * z)). [para(8190(a,1),8193(a,1,2,2))]. 8356 K(x,y * T(z,K(u,w) * v5)) = K(x,y * ((v5 \ z) * v5)). [hyper(62,a,8109,a(flip),b,8355,a),flip(a)]. 8358 K(x,y * T(z,K(u,w) * v5)) = K(x,y * T(z,v5)). [para(201(a,2),8356(a,2,2,2))]. 8359 K(x,(y \ K(z,u)) * T(w,y)) = K(x,w * (y \ K(z,u))). [hyper(62,a,8071,a(flip),b,8358,a),flip(a)]. 8361 T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). [para(8275(a,1),8277(a,1,2)),flip(a)]. 8362 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(262,a,7796,a(flip),b,8361,a),flip(a)]. 8364 K(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5) / x. [hyper(105,a,8362,a(flip),b,2102,a(flip)),flip(a)]. 8365 K(x,K(K(y,z) * u,w) * v5) = K(x,K(u,w) * v5). [hyper(262,a,2093,a,b,8364,a),flip(a)]. 8366 K(x,K(y,K(z,u) * w) * v5) = K(x,K(w,y) * v5). [hyper(7806,a,8365,a)]. 8367 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [para(2102(a,2),8366(a,1,2,1,2))]. 8368 K(x,K(y,z / u) * w) = K(x,K(y,z \ u) * w). [para(3485(a,1),8367(a,1,2,1)),flip(a)]. 8369 L((x / K(y,K(z,u))) / w,w,K(y,K(z,u))) = (w * ((w * K(y,K(z,u))) \ x)) / w. [para(7955(a,2),7964(a,1,1,1))]. 8370 K(x,K(y,(z * u) * w)) * (v5 * K(x,y)) = v5 * K(x,T(y,L(z / (w / u),w,u))). [para(8143(a,1),8076(a,1,1))]. 8371 L(x / T(y \ 1,z),T(y \ 1,z),T(y,z) * 1) = x * (T(y \ 1,z) \ 1). [para(64(a,1),8118(a,1,3,1,1))]. 8372 L(x / T(y \ 1,z),T(y \ 1,z),T(y,z)) = x * (T(y \ 1,z) \ 1). [para(8(a,1),8371(a,1,3))]. 8373 L(x / T(y \ 1,z),y \ 1,y) = x * (T(y \ 1,z) \ 1). [hyper(62,a,2809,a(flip),b,8372,a)]. 8375 L(x / T(y \ 1,z),y \ 1,y) = x * T((y \ 1) \ 1,z). [para(2505(a,2),8373(a,2,2))]. 8376 L(x / T(y \ 1,z),y \ 1,y) = x * T(y,z). [para(231(a,1),8375(a,2,2,1))]. 8377 (x \ 1) * (y / T(x \ 1,z)) = x \ (y * T(x,z)). [hyper(104,a,8376,a(flip),b,192,a),flip(a)]. 8379 (x \ 1) * (y / T(x \ 1,z)) = T(y * K(x,z),x). [hyper(262,a,2901,a,b,8377,a),flip(a)]. 8380 ((x \ 1) * y) / (x \ K(z,x)) = T(y * K(x,z),x). [hyper(62,a,3291,a,b,8379,a)]. 8381 K(x,L((y / z) / (u \ x),y,z)) * K(x,K(y,u * z)) = K(x,((u \ x) * z) \ y). [para(6062(a,1),8354(a,1,1))]. 8382 K(x,L((y / z) * u,y,z)) * K(x,K(y,u * z)) = K(x,((u \ x) * z) \ y). [para(7392(a,1),8381(a,1,1))]. 8383 K(x,y / ((z \ 1) * u)) * K(x,K(y,z * u)) = K(x,((z \ x) * u) \ y). [para(7702(a,1),8382(a,1,1))]. 8384 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(2969(a,1),8051(a,1,2,2))]. 8385 K((x * y) \ x,z / (u \ w)) = K(z,K(y,u * w)) * K(y,z \ (u \ w)). [para(3018(a,1),8147(a,1,2)),flip(a)]. 8386 K(x,K(y,z * u)) * K(y,x \ (z \ u)) = K(y,(z \ u) / x). [hyper(3021,a,8385,a),flip(a)]. 8388 K(x \ K(x,y \ z),K(u,y * z)) * K(u,(y \ z) / (x \ 1)) = K(u,(y \ z) / (x \ K(x,y \ z))). [para(2521(a,1),8386(a,1,2,2))]. 8389 K(x,L(y,z,(u / (w * K(v5,v6))) \ 1)) = K(x,L(y,z,(u * (w \ K(v6,v5))) \ 1)). [hyper(7405,a,8158,a),flip(a)]. 8390 K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). [para(3388(a,1),8198(a,1,2,1))]. 8391 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(3297(a,1),8384(a,1,2)),flip(a)]. 8392 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(262,a,9,a(flip),b,8391,a),flip(a)]. 8393 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(3067,a,8392,a),flip(a)]. 8395 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(8392(a,1),3067(a,1))]. 8396 K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). [para(6002(a,1),8393(a,1,1,1,2,1,2))]. 8397 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(8064(a,1),8390(a,1,2,1))]. 8398 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(2400,a,8397,a),flip(a)]. 8399 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(62,a,8009,a(flip),b,8398,a)]. 8400 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(62,a,8353,a(flip),b,8399,a),flip(a)]. 8401 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(2397,a,8400,a),flip(a)]. 8402 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(8401(a,2),7439(a,2,2)),flip(a)]. 8403 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(62,a,7321,a(flip),b,8402,a)]. 8404 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(z \ u,w))). [hyper(262,a,7088,a,b,8299,a),flip(a)]. 8405 K(x,K(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). [para(7943(a,1),8404(a,2,3))]. 8406 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,8247,a(flip),b,8405,a)]. 8408 K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). [para(9(a,1),8328(a,1,2,2,1,1)),flip(a)]. 8409 K(x,K(y,(z * u) * R(L(w / v5,v5,1 / v5),z,u))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [hyper(8058,a,8408,a)]. 8411 K(x,K(y,(z * u) * L(R(w / v5,z,u),v5,1 / v5))) = K(x,K(y,(((1 / v5) * w) * z) * u)). [para(29(a,1),8409(a,1,2,2,2))]. 8412 K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). [para(4334(a,1),8327(a,1,1))]. 8413 K(x,K(y \ K(y,z \ u),z * u)) * K(x,(z \ u) / (y \ 1)) = K(x,(z \ u) / (y \ K(y,z \ u))). [para(3830(a,1),8388(a,1,1))]. 8414 K(x,K(y * z,K(u,y \ z) \ u)) * K(x,(y \ z) / (u \ 1)) = K(x,(y \ z) / (u \ K(u,y \ z))). [para(3003(a,1),8413(a,1,1,2))]. 8415 K(x,K(y,z * u)) * K(y,(z \ u) / (x \ 1)) = K(y,(z \ u) / (x \ K(x,z \ u))). [para(8262(a,1),8414(a,1,1))]. 8416 K(x,K(y,z * u)) * K(y,(z \ u) * x) = K(y,(z \ u) / (x \ K(x,z \ u))). [para(7092(a,1),8415(a,1,2))]. 8418 K(x,K(y,z * u)) * K(y,(z \ u) * x) = K(y,(z \ u) * (K(z \ u,x) * x)). [hyper(262,a,7180,a(flip),b,8416,a),flip(a)]. 8419 K(x,K(y,z * u)) * K(y,(z \ u) * x) = K(y,(z \ u) * (K(x,u \ z) * x)). [para(3003(a,1),8418(a,2,2,2,1))]. 8420 K(x,K(y,z * u)) * K(y,(z \ u) * x) = K(y,(z \ u) * T(x,u \ z)). [para(2102(a,2),8419(a,2,2,2))]. 8421 K(x,K(y,z * u)) * K(y,(z \ u) * x) = K(y,T((z \ u) * x,u \ z)). [para(3148(a,2),8420(a,2,2))]. 8422 K(x,K(y,z * u)) * K(y,(z \ u) * x) = K(y,x * (z \ u)). [hyper(262,a,3939,a(flip),b,8421,a),flip(a)]. 8423 K(x,y / (z * T(u \ 1,T(z,w)))) * K(x,K(y,T(u * z,K(z,w)))) = K(x,(z * (T(u,T(z,w)) \ 1)) \ y). [para(2505(a,2),8195(a,1,1,2,2,2))]. 8424 K(x,y / T((z \ 1) * u,K(u,w))) * K(x,K(y,T(z * u,K(u,w)))) = K(x,(u * (T(z,T(u,w)) \ 1)) \ y). [para(3178(a,2),8423(a,1,1,2,2))]. 8425 K(x,y / ((z \ 1) * u)) * K(x,K(y,T(z * u,K(u,w)))) = K(x,(u * (T(z,T(u,w)) \ 1)) \ y). [para(8093(a,1),8424(a,1,1))]. 8426 K(x,(y * (T(z,T(y,u)) \ 1)) \ w) = K(x,w / ((z \ 1) * y)) * K(x,K(w,z * y)). [para(7926(a,1),8425(a,1,2)),flip(a)]. 8428 K(x,(y * T(z \ 1,T(y,u))) \ w) = K(x,w / ((z \ 1) * y)) * K(x,K(w,z * y)). [para(2505(a,2),8426(a,1,2,1,2))]. 8430 K(x,y / ((z \ 1) * u)) * K(x,K(y,z * u)) = K(x,((z \ 1) * u) \ y). [para(7974(a,1),8428(a,1,2,1)),flip(a)]. 8431 K(x,((y \ 1) * z) \ u) = K(x,((y \ x) * z) \ u). [hyper(62,a,8383,a(flip),b,8430,a),flip(a)]. 8432 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(6958(a,1),8396(a,1,1,1))]. 8433 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(8395,a,8432,a),flip(a)]. 8434 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(262,a,8219,a,b,8433,a),flip(a)]. 8435 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(62,a,8349,a,b,8434,a)]. 8436 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(8049,a,8435,a),flip(a)]. 8437 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(8436(a,1),8350(a,2,1))]. 8438 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(262,a,2285,a(flip),b,8437,a),flip(a)]. 8439 T(T(1 / (1 / L(x,y,z)),T(u,(w / v5) * v6)),1 / x) = T(L(x,y,z),T(u,v6 / (v5 / T(w,v7)))). [para(8438(a,1),5570(a,1,1))]. 8440 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(62,a,5570,a(flip),b,8439,a),flip(a)]. 8441 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = (T(L(v5,v6,v7),T(x,(u / z) * y)) \ 1) * L((v5 \ 1) \ 1,v6,v7). [para(8440(a,1),7610(a,1,1,1)),flip(a)]. 8442 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(262,a,7610,a(flip),b,8441,a),flip(a)]. 8443 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(262,a,3403,a(flip),b,8442,a),flip(a)]. 8444 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(3539,a,8443,a)]. 8445 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(62,a,8347,a(flip),b,8444,a)]. 8446 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(62,a,8348,a(flip),b,8445,a),flip(a)]. 8447 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(62,a,5502,a(flip),b,8446,a)]. 8448 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(97(a,1),8447(a,1,2,2,1,1)),flip(a)]. 8450 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(62,a,8219,a(flip),b,8448,a)]. 8451 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(262,a,4045,a,b,8450,a)]. 8452 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(33,a,8224,a,b,8451,a)]. 8453 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(4068,a,8452,a)]. 8454 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(62,a,8250,a(flip),b,8452,a),flip(a)]. 8455 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(62,a,8248,a(flip),b,8452,a),flip(a)]. 8456 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(8452(a,1),8281(a,1,1))]. 8457 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(8031,a,8455,a)]. 8458 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(10(a,1),8457(a,1,2,2,2,2)),flip(a)]. 8459 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(4316,a,8456,a),flip(a)]. 8460 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(62,a,8316,a(flip),b,8459,a),flip(a)]. 8461 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(77(a,1),8459(a,1,2,1,2)),flip(a)]. 8462 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(8044,a,8461,a)]. 8463 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(10(a,1),8460(a,2,2,2,2))]. 8464 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(262,a,8292,a,b,8463,a),flip(a)]. 8465 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(8463(a,2),8294(a,1))]. 8466 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(62,a,8462,a(flip),b,8464,a)]. 8467 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(7118(a,1),8464(a,1,2))]. 8468 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(8464(a,2),8294(a,1))]. 8470 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(62,a,8467,a(flip),b,8466,a),flip(a)]. 8471 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(1297(a,2),8466(a,2,2,2,1))]. 8472 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(7120(a,1),8471(a,1,2))]. 8473 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(8465,a,8472,a),flip(a)]. 8474 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,8453,a(flip),b,8473,a)]. 8475 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(8319,a,8474,a)]. 8476 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(62,a,8329,a,b,8475,a)]. 8477 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(62,a,8330,a(flip),b,8475,a),flip(a)]. 8478 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(8333,a,8476,a)]. 8479 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(8300,a,8477,a)]. 8480 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(62,a,8470,a,b,8477,a)]. 8481 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,8029,a(flip),b,8477,a),flip(a)]. 8482 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,7715,a,b,8479,a)]. 8483 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(4808(a,1),8479(a,1,2))]. 8484 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(7593(a,1),8479(a,1,2,2,2,1)),flip(a)]. 8485 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(8300,a,8480,a)]. 8486 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(62,a,7557,a(flip),b,8482,a)]. 8487 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(8129(a,1),8483(a,1,2)),flip(a)]. 8488 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(262,a,8485,a(flip),b,8484,a),flip(a)]. 8490 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(62,a,8478,a(flip),b,8488,a)]. 8491 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(8294,a,8490,a)]. 8493 K(x,K(y,((z / u) / (w * z)) * u)) = K(x,K(y,L(w,z,u / z))). [hyper(62,a,8321,a(flip),b,8490,a),flip(a)]. 8494 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(62,a,8314,a(flip),b,8490,a)]. 8495 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(4068,a,8494,a)]. 8496 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(98(a,1),8494(a,1,2,2,2)),flip(a)]. 8497 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(62,a,8406,a(flip),b,8495,a),flip(a)]. 8498 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(7949,a,8497,a)]. 8499 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(262,a,6108,a,b,8497,a),flip(a)]. 8500 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(8497(a,1),4056(a,1))]. 8501 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(12(a,1),8498(a,1,2,2,2,2))]. 8502 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(8319,a,8496,a),flip(a)]. 8503 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(8337,a,8502,a)]. 8504 K(x,K(y,(z * u) * ((w / u) / z))) != v5 | K(x,K(w,L(y,u,z))) = v5. [para(8503(a,1),8200(a,1))]. 8505 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(12(a,1),8499(a,2,2))]. 8506 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(262,a,3872,a(flip),b,8487,a),flip(a)]. 8507 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(62,a,8457,a(flip),b,8506,a),flip(a)]. 8509 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(262,a,8453,a(flip),b,8507,a),flip(a)]. 8510 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(8322,a,8509,a)]. 8511 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(194(a,1),8509(a,1,2,2,2))]. 8512 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(262,a,8258,a(flip),b,8511,a),flip(a)]. 8514 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(62,a,8411,a(flip),b,8512,a),flip(a)]. 8516 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(94(a,1),8514(a,1,2,2)),flip(a)]. 8517 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(62,a,8256,a,b,8516,a)]. 8518 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(8318,a,8517,a),flip(a)]. 8519 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(8078,a,8517,a)]. 8520 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(8318,a,8518,a),flip(a)]. 8521 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(8323,a,8520,a),flip(a)]. 8522 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(8322,a,8520,a)]. 8523 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(62,a,8481,a(flip),b,8520,a),flip(a)]. 8524 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(62,a,8510,a(flip),b,8523,a)]. 8525 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(262,a,8301,a(flip),b,8521,a),flip(a)]. 8526 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(262,a,6625,a(flip),b,8519,a),flip(a)]. 8527 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(262,a,8491,a(flip),b,8526,a),flip(a)]. 8528 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(4068,a,8527,a)]. 8529 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(7009(a,1),8528(a,1,2)),flip(a)]. 8530 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(2904(a,1),8525(a,1,2,2,2))]. 8531 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(8320,a,8530,a)]. 8532 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(62,a,8531,a(flip),b,8524,a)]. 8533 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(8504,a,8532,a),flip(a)]. 8534 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(62,a,7503,a(flip),b,8533,a)]. 8535 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(262,a,7312,a,b,8529,a),flip(a)]. 8536 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(8043,a,8317,a),flip(a)]. 8538 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(7651(a,1),8536(a,2,2))]. 8539 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(262,a,8342,a(flip),b,8538,a),flip(a)]. 8540 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(8335,a,8539,a)]. 8542 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(62,a,8298,a(flip),b,8540,a)]. 8543 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(62,a,8304,a(flip),b,8542,a),flip(a)]. 8544 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(6078,a,8543,a)]. 8546 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(7177(a,1),8543(a,1,2,2,2))]. 8547 L(K(x,K(y,z)),K(u,w) * v5,v6) = a(x,v5,K(v6,K(y,z))) * K(x,K(y,z)). [hyper(262,a,7305,a,b,8544,a),flip(a)]. 8548 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(262,a,8534,a(flip),b,8546,a),flip(a)]. 8549 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(K(w,u),v5). [para(8548(a,1),8412(a,1,1)),flip(a)]. 8550 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(7306,a,8547,a)]. 8551 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(2203(a,1),8550(a,1,2)),flip(a)]. 8552 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(3842(a,1),8549(a,2,2))]. 8554 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(K(w,L(u,z,x)) * K(u,w),v5). [hyper(262,a,6322,a(flip),b,8552,a),flip(a)]. 8555 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(5702(a,1),8554(a,2,1))]. 8556 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(262,a,7448,a(flip),b,8555,a),flip(a)]. 8557 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(8326(a,1),8556(a,1,2))]. 8558 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(3842(a,1),8557(a,1,3))]. 8559 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(6118,a,8558,a)]. 8560 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(137(a,1),8559(a,1,2,1))]. 8561 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(62,a,8535,a,b,8560,a)]. 8562 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(62,a,7468,a(flip),b,8560,a)]. 8563 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(262,a,7251,a,b,8562,a),flip(a)]. 8564 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(3834(a,1),8561(a,2,3))]. 8565 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(2591(a,1),8564(a,1,2,2,2,1))]. 8566 K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(232(a,1),8565(a,1,2,2,2,1,2))]. 8567 K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(7171(a,1),8566(a,1,2))]. 8568 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [para(3153(a,1),8567(a,1,2,2,1))]. 8569 K(x,K(y,(((z / u) / w) * K(w,1 / z)) * ((w / z) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). [hyper(62,a,8522,a(flip),b,8568,a)]. 8570 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(8285,a,8569,a)]. 8571 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(2631(a,1),8570(a,2,3,2))]. 8572 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(8242(a,1),8571(a,2,3))]. 8573 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(62,a,8501,a(flip),b,8572,a)]. 8575 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(74(a,1),8573(a,1,3,2,1))]. 8576 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(8458(a,1),8575(a,1,3))]. 8577 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(3830(a,1),8576(a,1,3))]. 8578 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(7390(a,1),8577(a,1,3))]. 8579 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(7235,a,8578,a),flip(a)]. 8580 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(3843(a,1),8579(a,1,3))]. 8581 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(62,a,8551,a,b,8580,a)]. 8582 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(62,a,8563,a(flip),b,8581,a),flip(a)]. 8583 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(3830(a,1),8582(a,2,3))]. 8584 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(8500,a,8583,a)]. 8585 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(3834(a,2),8584(a,2,3))]. 8586 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(62,a,8505,a(flip),b,8585,a)]. 8587 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(3873(a,1),8586(a,1,3))]. 8588 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(3843(a,1),8587(a,2,3))]. 8589 K(x,K(y,L(z,u,w / u))) = K(x,K(y,z)) * a(w,y,K(x,K(z,u))). [para(8587(a,1),7445(a,1,2)),flip(a)]. 8590 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(62,a,8583,a(flip),b,8588,a),flip(a)]. 8591 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(8590(a,1),7263(a,1,1))]. 8592 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(3830(a,1),8591(a,1,2))]. 8593 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(7497,a,8592,a),flip(a)]. 8594 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(4313,a,8593,a)]. 8595 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(262,a,8486,a(flip),b,8594,a),flip(a)]. 8596 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,v5 \ ((v5 / (w * u)) * (w * (u * z))))). [para(729(a,1),8594(a,1,2,2)),flip(a)]. 8597 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) = K(x,K(y,((z \ u) * z) \ (u * w))). [para(2419(a,1),8594(a,1,2,2)),flip(a)]. 8598 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(3336(a,1),8594(a,1,2)),flip(a)]. 8599 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(8468,a,8595,a)]. 8600 K(x,K(y,z / (u * w))) = K(x,K(y,(u / z) * w)). [hyper(4068,a,8599,a)]. 8601 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(8598(a,2),4072(a,1))]. 8602 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) = K(x,K(y,(w * u) / ((z \ u) * z))). [para(8018(a,2),8597(a,2,2))]. 8603 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) = K(x,K(y,((z \ u) / (w * u)) * z)). [hyper(262,a,8600,a(flip),b,8602,a),flip(a)]. 8604 K(x,K(y,L(K(z,u / z) * w,u,K(u / z,z)))) != v5 | K(x,K(y,((u / z) / (w * u)) * z)) = v5. [para(8603(a,2),8332(a,1))]. 8605 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) * (w * (u * z))) / v5)). [hyper(262,a,7933,a,b,8596,a),flip(a)]. 8606 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,((v5 / (w * u)) / v5) * (w * (u * z)))). [hyper(262,a,8599,a(flip),b,8605,a),flip(a)]. 8607 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(262,a,8454,a(flip),b,8606,a),flip(a)]. 8610 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,T(L(z,u,w),w * u))). [para(3993(a,1),8607(a,2,2))]. 8611 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(262,a,7926,a(flip),b,8610,a),flip(a)]. 8614 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(62,a,7557,a(flip),b,8611,a)]. 8615 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(8601,a,8614,a),flip(a)]. 8618 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(5249(a,1),8615(a,1,2)),flip(a)]. 8620 K(x,K(y,L(z,u,w))) = K(x,K(z,y)). [hyper(262,a,3909,a(flip),b,8618,a),flip(a)]. 8621 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(262,a,3879,a(flip),b,8618,a),flip(a)]. 8622 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(262,a,3872,a(flip),b,8618,a),flip(a)]. 8630 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(8620(a,1),4403(a,1,2))]. 8633 K(x,y * z) * K(x,K(y,z \ 1)) = K(x,z * y). [para(8620(a,1),8028(a,1,2))]. 8635 K(x,K(y,L(z,u,w))) = K(z,K(x,K(v5,v6) * y)). [hyper(262,a,8244,a,b,8621,a),flip(a)]. 8643 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [para(448(a,1),8622(a,1,2,2)),flip(a)]. 8644 T(x,K(y,L(z,u,w))) = K(y,K(x,z)) * x. [para(8622(a,1),3837(a,1,1)),flip(a)]. 8645 K(x,K(y,z)) * K(x,L(z,u,w) \ y) != v5 | K(x,y / L(z,u,w)) = v5. [para(8622(a,1),4305(a,1,1))]. 8647 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [hyper(262,a,3837,a(flip),b,8644,a),flip(a)]. 8649 T(x,L(K(y,z),u,w)) = T(x,K(y,z)). [hyper(62,a,6105,a,b,8647,a)]. 8651 x \ T(y * T(x,K(z,u)),K(L(u,w,v5),z)) = T(y,R(K(z,u),w,v5) * x). [para(8647(a,1),7801(a,1,2,1,2))]. 8653 (T(x,K(y,z)) * K(u,z)) * (K(z,u) * L(K(y,z),w,v5)) = x * ((x * L(K(y,z),w,v5)) / x). [para(8649(a,1),5672(a,1,1,1))]. 8656 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(y,K(w,L(x,v7,v8))). [hyper(262,a,8622,a,b,8635,a)]. 8657 x \ (y * K(z,K(u,w))) = (x \ y) * K(z,K(u,w)). [hyper(539,a,8630,a)]. 8659 (x * y) * K(z,K(u,w)) = x * (K(z,K(u,w)) * y). [hyper(262,a,7961,a,b,8630,a),flip(a)]. 8662 K(x,y * z) * K(x,K(z,y)) = K(x,z * y). [para(2499(a,1),8633(a,1,2,2))]. 8664 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [hyper(7988,a,8662,a)]. 8665 K(x,K(y,z * u)) * K(x,((y \ z) * u) * y) = K(x,y * ((y \ z) * u)). [para(6576(a,1),8664(a,1,1,2))]. 8667 K(x,K(y,z \ (u * w))) = K(x,K(y,w * (u \ z))). [hyper(62,a,8142,a(flip),b,8643,a),flip(a)]. 8669 (x \ (y * z)) * K(y,K(u,w)) = x \ (T(y,K(u,w)) * z). [para(7954(a,1),8657(a,1,2)),flip(a)]. 8670 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [hyper(7976,a,8659,a)]. 8671 K(x,K(y,z)) * (u * (K(x,K(y,z)) * w)) = u * w. [hyper(7967,a,8659,a)]. 8672 K(x,K(y,(z * u) * w)) = K(x,K(y,u * (z \ w))). [hyper(62,a,8142,a(flip),b,8667,a)]. 8673 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [hyper(523,a,8670,a)]. 8676 K(x,K(y,z)) * (u * w) != v5 | u * (K(x,K(y,z)) * w) = v5. [para(8671(a,1),3865(a,1,2))]. 8677 K(x,K(y,z * (u \ w))) * (v5 * K(x,y)) = v5 * K(x,T(y,L(u / (w / z),w,z))). [para(8672(a,1),8370(a,1,1))]. 8678 x \ (y * (K(z,K(u,w)) * v5)) = K(z,K(u,w)) * (x \ (y * v5)). [para(8670(a,1),8673(a,1,2))]. 8777 K(x,K(y,L(z,u,w))) = K(z,K(x,((v5 / v6) / (y * v5)) * v6)). [hyper(8604,a,8656,a),flip(a)]. 8778 K(x,y \ (T(z,K(u,w)) * v5)) = K(x,y \ (z * v5)). [para(8669(a,1),8091(a,1,2))]. 8780 K(x,K(y,L(z,u,w / u))) = K(y,K(z,L(x,v5,v6))). [hyper(262,a,8493,a(flip),b,8777,a)]. 8781 K(x,K(y,L(z,u,w))) = K(z,K(x,y)) * a(v5,x,K(z,K(y,v6))). [hyper(62,a,8589,a(flip),b,8780,a),flip(a)]. 8782 K(x,K(y,z)) * ((u * (w * (K(x,K(y,z)) * v5))) \ ((u * w) * v5)) = a(u,w,K(x,K(y,z)) * v5). [hyper(618,a,8678,a),flip(a)]. 8783 x \ (y * (z * (K(u,K(w,v5)) * v6))) = K(u,K(w,v5)) * (x \ (y * (z * v6))). [para(8670(a,1),8678(a,1,2,2))]. 8784 L(K(x,K(y,z)),u,w) = K(x,K(y,z)) * a(v5,y,K(x,K(z,v6))). [hyper(6078,a,8781,a)]. 8785 a(x,y,K(z,K(u,w))) = 1. [hyper(7254,a,8784,a),flip(a)]. 8788 a(K(x,K(y,z)),u,w) = 1. [hyper(62,a,7022,a,b,8785,a)]. 8789 K(x,K(y,a(z,u,w))) = 1. [hyper(62,a,7312,a(flip),b,8785,a)]. 8792 K(x,L(y,z,K(u,w))) = K(x,y) * 1. [para(8785(a,1),7261(a,1,2)),flip(a)]. 8798 L(x,y,K(z,K(u,w))) = x. [hyper(51,a,8788,a)]. 8804 T(x,K(y,a(z,u,w))) = x. [hyper(55,a,8789,a)]. 8806 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [hyper(1381,a,8798,a),flip(a)]. 8807 (x * K(y,K(z,u))) \ w = x \ (K(y,K(z,u)) * w). [hyper(62,a,8176,a(flip),b,8798,a)]. 8808 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(8798(a,1),496(a,1,2))]. 8809 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,K(y,K(z,u)) * w,x). [para(8798(a,1),404(a,2,1))]. 8810 T(x,K(a(y,z,u),w)) = x. [hyper(4911,a,8804,a)]. 8811 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(4379,a,8804,a)]. 8814 T(x,a(y,z,K(u,w))) = x. [para(6161(a,2),8804(a,1,2))]. 8815 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(8804(a,1),7798(a,1,2,1,2))]. 8818 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(1824,a,8814,a),flip(a)]. 8819 a(x,y,K(z,u)) / w = w \ a(x,y,K(z,u)). [hyper(682,a,8814,a),flip(a)]. 8822 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(8814(a,1),249(a,1,2))]. 8824 K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). [hyper(4025,a,8811,a)]. 8830 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(262,a,8,a(flip),b,8792,a),flip(a)]. 8831 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(8792(a,2),112(a,1)),flip(b)]. 8833 K(x,T(y,K(z,u) * w)) = K(x,L(T(y,w),v5,K(v6,v7))). [hyper(8227,a,8830,a),flip(a)]. 8834 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(6064,a,8830,a)]. 8835 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(6040,a,8830,a)]. 8837 K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). [para(2721(a,1),8830(a,1,2,3))]. 8839 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(8830(a,1),6048(a,1,2))]. 8842 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(8223,a,8834,a)]. 8845 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [para(2404(a,1),8834(a,1,1))]. 8848 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(2404(a,1),8831(a,1,2))]. 8849 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(62,a,7349,a(flip),b,8837,a),flip(a)]. 8850 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(8837(a,1),6048(a,1,2))]. 8851 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(7361,a,8818,a)]. 8852 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(7256,a,8818,a),flip(a)]. 8853 (x * y) * a(x,z,K(u,w)) = T(x,a(w,z,u)) * y. [hyper(7083,a,8818,a),flip(a)]. 8854 a(x,y,K(z,u \ y)) * K(x,(z * y) \ u) = K(x,y \ (z \ u)). [hyper(262,a,7498,a(flip),b,8818,a),flip(a)]. 8856 x * (a(y,z,K(u,w)) * v5) = x * (v5 * a(y,z,K(u,w))). [hyper(57,a,8818,a)]. 8857 x * a(y,z,K(u,w)) != v5 | a(w,z,K(y,u)) * x = v5. [para(8818(a,1),7361(a,1))]. 8858 (x * a(y,z,K(u,w))) \ 1 = x \ a(w,z,K(u,y)). [hyper(62,a,7337,a,b,8819,a)]. 8859 a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). [hyper(62,a,7334,a,b,8819,a)]. 8861 (K(x,K(y,z)) * u) * w = u * (K(x,K(y,z)) * w). [hyper(262,a,8670,a(flip),b,8806,a),flip(a)]. 8863 K(x,K(y,z)) * ((u \ 1) * w) = (u \ K(x,K(y,z))) * w. [para(7956(a,1),8806(a,1,1)),flip(a)]. 8864 K(x,K(y,z)) * ((u \ K(x,K(y,z))) * w) = (u \ 1) * w. [para(8045(a,1),8806(a,1,1)),flip(a)]. 8865 (K(x,K(y,z)) * u) * w != v5 | u * (K(x,K(y,z)) * w) = v5. [para(8806(a,2),8676(a,1))]. 8867 (x * (K(y,K(z,u)) * w)) / v5 = K(y,K(z,u)) * ((x * w) / v5). [para(8670(a,1),8808(a,1,1))]. 8868 ((x * (K(y,z) * u)) * K(w,v5)) / (K(y,z) * (u * K(w,v5))) = R(x,K(y,z) * u,K(w,v5)). [para(8839(a,1),20(a,2,2)),flip(a)]. 8870 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(62,a,8100,a(flip),b,8845,a)]. 8871 a(x,y,K(z,u)) * T(w \ 1,v5) = T(w,v5) \ a(x,y,K(z,u)). [para(2505(a,2),8859(a,1,2))]. 8873 (x * (K(y,K(z,u)) * w)) \ ((K(y,K(z,u)) * x) * (w * v5)) = L(v5,w,K(y,K(z,u)) * x). [para(8861(a,1),18(a,2,1)),flip(a)]. 8874 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [para(7939(a,1),8861(a,1,1))]. 8875 (x \ 1) * (K(y,K(z,u)) * w) = (x \ K(y,K(z,u))) * w. [para(7956(a,1),8861(a,1,1)),flip(a)]. 8876 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(62,a,8141,a,b,8870,a)]. 8877 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (L(K(u,y),w,v5) * v6),v7). [para(5661(a,2),8870(a,2,1,2)),flip(a)]. 8878 L(x,K(y,K(z,u)),w) = x. [hyper(408,a,8874,a)]. 8879 (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). [hyper(62,a,8175,a(flip),b,8878,a)]. 8881 K(x,K(y,z)) * ((u \ K(x,K(y,z))) \ w) = (u \ 1) \ w. [para(8045(a,1),8879(a,1,1)),flip(a)]. 8882 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(8670(a,1),8879(a,1,1))]. 8884 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(8851(a,1),8822(a,1))]. 8885 T(x,a(y,z,u)) != w | a(y,z,K(x,u)) * x = w. [para(7081(a,1),8857(a,1))]. 8886 K(x,y) * (z * ((K(x,y) * z) \ u)) != w | a(z \ u,z,K(x,y)) * u = w. [para(7761(a,2),8857(a,1))]. 8889 K((x \ 1) * (a(y,z,K(u,w)) * v5),v6) = K(v6,(v5 * a(y,z,K(u,w))) \ x). [para(8856(a,2),7108(a,1,1))]. 8890 K(x,K(y,z)) * ((u \ K(x,K(y,z))) * w) != v5 | (u \ 1) * w = v5. [para(8863(a,1),3865(a,1,2))]. 8891 K(x,y) * ((z \ K(x,K(y,u))) * w) = K(x,T(y,u)) * ((z \ 1) * w). [para(8863(a,1),4624(a,1,2))]. 8892 (x \ K(y,K(z,u))) * K(w,v5) = K(y,K(z,u)) * (x \ K(w,v5)). [para(7099(a,1),8863(a,1,2)),flip(a)]. 8893 K(x,K(y,z)) * (u \ ((w \ 1) * v5)) = u \ ((w \ K(x,K(y,z))) * v5). [para(8863(a,1),8673(a,1,2)),flip(a)]. 8894 K(x,K(y,z)) * ((u \ K(x,K(y,z))) * (((u \ 1) * K(w,v5)) \ v6)) = ((u \ 1) * K(v5,w)) * ((u \ 1) \ v6). [hyper(262,a,7762,a,b,8864,a),flip(a)]. 8895 (x \ 1) * (y * K(z,K(u,w))) = (x \ K(z,K(u,w))) * y. [hyper(8032,a,8875,a)]. 8896 (x \ K(y,K(z,u))) * (K(y,z) * w) = (x \ 1) * (K(y,T(z,u)) * w). [para(3809(a,1),8875(a,1,2)),flip(a)]. 8897 K(x,T(y,z)) * ((u \ K(x,K(y,z))) \ w) = K(x,y) * ((u \ 1) \ w). [para(8881(a,1),4624(a,1,2)),flip(a)]. 8898 (x \ 1) * ((K(y,z) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7)) * K(u,K(w,v5))) = ((x \ K(u,K(w,v5))) * K(y,z)) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7). [hyper(262,a,7559,a,b,8895,a),flip(a)]. 8899 ((x \ K(y,K(z,u))) \ 1) \ L(((x \ K(y,K(z,u))) \ 1) * w,v5,v6) = (x \ 1) * (L((x \ K(y,K(z,u))) \ w,v5,v6) * K(y,K(z,u))). [hyper(262,a,1133,a,b,8895,a)]. 8900 (x * (K(y,K(z,u)) * w)) * v5 != v6 | (x * w) * (K(y,K(z,u)) * v5) = v6. [para(8670(a,1),8865(a,1,1))]. 8901 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(8810(a,1),8815(a,1,2)),flip(a)]. 8902 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(262,a,22,a,b,8901,a),flip(a)]. 8904 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(6161(a,2),8902(a,1,2,1))]. 8905 K(x,a(y,z,K(u,w)) * v5) = x \ T(x,v5). [hyper(104,a,8904,a(flip),b,2097,a(flip)),flip(a)]. 8906 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(8818(a,1),8904(a,1,2))]. 8907 K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). [para(8906(a,1),4254(a,1,1,1,1))]. 8908 T(x,(K(y,z) * u) * w) = T(x,K(y,z) * (u * w)). [para(7027(a,1),8906(a,1,2))]. 8909 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [hyper(262,a,2061,a,b,8905,a),flip(a)]. 8910 K(x,a(y,z,K(u,w)) * v5) != v6 | K(x,v5) = v6. [para(8905(a,2),2153(a,1))]. 8911 K(x,a(y,z,K(u,w)) * (v5 \ 1)) = K(v5,x). [hyper(262,a,2499,a(flip),b,8909,a),flip(a)]. 8912 K(x,K(y,z)) * K(x,(a(u,w,K(v5,v6)) * z) \ y) = K(x,y / (a(u,w,K(v5,v6)) * z)). [para(8909(a,1),4296(a,1,1,2))]. 8913 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(7421(a,1),8909(a,1,2))]. 8914 K(x,y * a(z,u,K(w,v5))) = K(x,y). [para(8818(a,1),8909(a,1,2))]. 8915 K(x,(K(y,z) * u) * w) = K(x,K(y,z) * (u * w)). [para(7027(a,1),8914(a,1,2))]. 8916 T(x * a(y,z,K(u,w)),v5) \ x = K(v5,x) * a(w,z,K(u,y)). [para(8914(a,1),7244(a,2,1))]. 8917 K(x,y \ a(z,u,K(w,v5))) = K(y,x). [para(8859(a,1),8911(a,1,2))]. 8918 K(a(x,y,K(z,u)) * w,v5) = K(w,v5). [hyper(3073,a,8917,a),flip(a)]. 8919 K(x \ a(y,z,K(u,w)),v5 \ v6) = K(x,v6 \ v5). [hyper(3008,a,8917,a)]. 8920 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [para(8818(a,1),8918(a,1,1))]. 8921 K((K(x,y) * z) * u,w) = K(K(x,y) * (z * u),w). [para(7027(a,1),8920(a,1,1))]. 8922 (a(x,y,K(z,u)) * K(w,v5)) * w = T(a(z,y,K(u,x)) * w,v5). [para(8920(a,1),7249(a,1,1,2))]. 8923 T(x,(y \ K(z,u)) \ w) = T(x,K(u,z) * (y * w)). [hyper(62,a,7201,a,b,8908,a)]. 8924 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(8017,a,8913,a)]. 8925 K(x,(y \ K(z,u)) \ w) = K(x,K(u,z) * (y * w)). [hyper(62,a,7181,a,b,8915,a)]. 8926 K(x * ((x \ 1) / y),K(z,u) * (w * v5)) = K((w * K(z,u)) * v5,y). [hyper(62,a,8113,a(flip),b,8915,a),flip(a)]. 8927 K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,K(a(y,z,u),w) * (v5 * v6)). [para(6492(a,2),8915(a,1,2,1,1))]. 8928 K(x,K(y,z) * (u * w)) * K((K(y,z) * u) * w,L(x,v5,v6)) = a((K(y,z) * u) * w,v5,K(v6,x)). [para(8915(a,1),7247(a,1,1))]. 8929 K(x,K(y,L(z,u,w)) * ((u * w) * v5)) = K(x,((K(y,z) * u) * w) * v5). [para(7660(a,1),8915(a,1,2,1)),flip(a)]. 8930 K((x \ K(y,z)) \ u,w) = K(K(z,y) * (x * u),w). [hyper(7229,a,8921,a)]. 8931 K(K(x,L(y,z,u)) * ((z * u) * w),v5) = K(((K(x,y) * z) * u) * w,v5). [para(7660(a,1),8921(a,1,1,1)),flip(a)]. 8932 K(x,K(K(y,z) * (u * T(w,u)),w * u) * (v5 \ ((K(y,z) * u) * T(w,u)))) = K(x,v5 \ (w * (u * K(y,z)))). [para(8921(a,1),8046(a,1,2,1))]. 8933 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(262,a,8094,a,b,8924,a),flip(a)]. 8934 K(x,K(y,z) * (u * (w \ K(z,y)))) = K(x,u * (w \ 1)). [para(7130(a,1),8924(a,2,2,2))]. 8935 K(x,K(y,z) * (u * (K(z,y) * w))) = K(x,u * w). [para(2383(a,1),8933(a,2,2,2))]. 8936 K(x,a(y,z,K(u,w)) * (v5 * (K(w,a(y,z,u)) * v6))) = K(x,v5 * v6). [para(6492(a,2),8935(a,1,2,1))]. 8937 K(x,L(y,z,K(u,w) * (v5 * (K(w,u) * v6)))) = a(y,z,K(x,v5 * v6)) * K(x,y). [para(8935(a,1),7052(a,1,1,3)),flip(a)]. 8938 K(x,K(y,z) * (u * (w \ K(z,y)))) != v5 | K(x,u / w) = v5. [para(8934(a,2),7274(a,1))]. 8939 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = K(y,K(z,u)) * ((x * w) / ((x * (K(y,K(z,u)) * w)) / v5)). [hyper(667,a,8867,a)]. 8940 K(x,K(y,z)) * ((u * w) \ (u * ((K(x,K(y,z)) * w) * v5))) = L(v5,K(x,K(y,z)) * w,u). [hyper(411,a,8882,a),flip(a)]. 8941 x * T(x \ a(y,z,K(u,w)),v5) = K(v5,x) * a(y,z,K(u,w)). [hyper(62,a,7245,a(flip),b,8916,a)]. 8943 T(a(x,y,K(z,u)) * w,v5) = a(u,y,K(x,z)) * T(w,v5). [hyper(3165,a,8922,a),flip(a)]. 8945 T(a(x,y,K(z,u)) * (w \ 1),v5) = T(w,v5) \ a(u,y,K(x,z)). [hyper(262,a,8871,a(flip),b,8943,a),flip(a)]. 8946 T(x \ a(y,z,K(u,w)),v5) = T(x,v5) \ a(w,z,K(y,u)). [para(8859(a,1),8945(a,1,1))]. 8947 ((x * y) \ z) * T(((x * y) \ z) \ a(x,y,K(z \ y,u)),u) = K(u,y \ (x \ z)). [para(8946(a,2),7499(a,1,2))]. 8948 a(x,y,K(z,T(u,y))) * K(x,(u * y) \ (z * y)) = K(x,y \ (u \ (z * y))). [para(3502(a,1),8854(a,1,1,3))]. 8949 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(262,a,3949,a(flip),b,8842,a),flip(a)]. 8950 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(8949(a,2),3983(a,1))]. 8952 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(5224(a,1),8849(a,1,2,1))]. 8953 x * a(y,z \ K(K(y,u),z),K(u,(z \ K(K(y,u),z)) \ x)) = K(y,T(u,z)) * ((z \ 1) * ((z \ K(y,u)) \ x)). [hyper(62,a,7900,a,b,8891,a)]. 8954 K(x,y \ ((z \ K(u,K(w,v5))) * v6)) = K(x,y \ ((z \ 1) * v6)). [para(8893(a,1),8089(a,1,2))]. 8956 L(T(K(x,y),(z \ K(x,K(y,u))) \ w),(z \ K(x,K(y,u))) \ w,z \ K(x,K(y,u))) = w \ ((z \ 1) * (K(x,T(y,u)) * ((z \ K(x,K(y,u))) \ w))). [para(8896(a,1),621(a,2,2))]. 8957 K((x * K(y,z)) * u,w) = K(K(y,z) * (x * u),w). [hyper(62,a,7140,a(flip),b,8926,a),flip(a)]. 8958 K(K(x,y) * (z * (u \ 1)),w) = K(w,u / (z * K(x,y))). [hyper(7121,a,8957,a),flip(a)]. 8959 K(x,y) * a(x,z,K(K(u,w) * (v5 * v6),y)) = K(x,L(y,z,(v5 * K(u,w)) * v6)). [para(8957(a,1),7049(a,1,2,3))]. 8960 K(K(x,y) * (z * (u \ 1)),w) = K(w,u * (z \ K(y,x))). [hyper(262,a,8156,a(flip),b,8958,a),flip(a)]. 8961 K(x,(a(y,z,K(u,w)) * v5) * v6) = K(x,a(y,z,K(u,w)) * (v5 * v6)). [para(6492(a,2),8927(a,2,2,1))]. 8962 K(x,a(y,z,K(u,w)) * (v5 * (a(w,z,K(u,y)) * v6))) = K(x,v5 * v6). [para(7033(a,2),8936(a,1,2,2,2,1))]. 8963 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(8112,a,8952,a)]. 8964 K(x,(a(y,z,K(u,w)) * v5) * v6) != v7 | K(x,v5 * v6) = v7. [para(8961(a,2),8910(a,1))]. 8965 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(6079(a,1),8964(a,1,2,1))]. 8966 K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). [hyper(8910,a,8962,a)]. 8968 K(x * ((x \ 1) / y),z * u) = K(z * (a(w,v5,K(v6,v7)) * u),y). [hyper(62,a,7140,a(flip),b,8966,a),flip(a)]. 8969 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(8818(a,1),8966(a,1,2,2))]. 8970 K(x * (a(y,z,K(u,w)) * v5),v6) = K(x * v5,v6). [hyper(62,a,7140,a(flip),b,8968,a),flip(a)]. 8971 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(8963(a,1),2420(a,1,1,2))]. 8972 K(x,((K(y,z) * u) * w) * v5) != v6 | K(x,K(y,z) * ((u * w) * v5)) = v6. [para(8929(a,1),8965(a,1))]. 8973 x \ T(y * T(x,K(z,u)),K(L(z,w,v5),u)) = T(y,R(K(u,z),w,v5) * x). [para(3883(a,1),8651(a,1,2,1,2))]. 8976 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(K(x,K(y,z)) * v5,w,u). [hyper(411,a,8783,a),flip(a)]. 8977 L(K(x,K(y,z)) * u,w,v5) = K(x,K(y,z)) * L(u,w,v5). [para(18(a,2),8976(a,1,2)),flip(a)]. 8978 x * L(K(y,K(z,u)) * w,v5,v6) = x * (L(w,v5,v6) * K(y,K(z,u))). [para(8977(a,2),7961(a,1,2))]. 8979 K(x,(y * a(z,u,K(w,v5))) \ v6) = K((v6 \ 1) * y,x). [hyper(62,a,8970,a(flip),b,8889,a),flip(a)]. 8981 K(x,(y * a(z,u,K(w,v5))) \ v6) = K(x,y \ v6). [hyper(262,a,7108,a(flip),b,8979,a),flip(a)]. 8982 K(x,((y * a(z,u,K(w,v5))) \ 1) * v6) = K(x,y \ v6). [hyper(7101,a,8981,a)]. 8983 K(x,(a(y,z,K(u,w)) * v5) \ v6) = K(x,v5 \ v6). [para(8818(a,2),8981(a,1,2,1))]. 8984 K(x,(y \ a(z,u,K(w,v5))) * v6) = K(x,y \ v6). [para(8858(a,1),8982(a,1,2,1))]. 8985 K((x \ a(y,z,K(u,w))) * v5,v6) = K(v7 * ((v7 \ 1) / v6),x \ v5). [hyper(62,a,7140,a(flip),b,8984,a)]. 8986 K((x \ a(y,z,K(u,w))) * v5,v6) = K(x \ v5,v6). [hyper(262,a,7140,a(flip),b,8985,a),flip(a)]. 8987 x \ T(y * T(x,K(z,u)),K(u,L(z,w,v5))) = T(y,R(K(u,z),w,v5) * x). [para(3883(a,1),8973(a,1,2))]. 8988 T(x,R(K(y,z),u,w) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). [para(8647(a,1),8987(a,1,2)),flip(a)]. 8989 T(x,R(K(y,z),u,w) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [para(3883(a,1),8988(a,2,2))]. 8991 T(x,R(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). [hyper(262,a,7796,a(flip),b,8989,a),flip(a)]. 8992 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(7652(a,1),8991(a,1,2,1))]. 8993 K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). [para(8992(a,1),2059(a,2,2))]. 8994 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(6011(a,1),8992(a,1,2,1))]. 8995 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [hyper(62,a,7971,a(flip),b,8994,a)]. 8996 K(x * K(L(y,z,u),w),v5) = v5 / T(v5,K(y,w) * x). [para(8995(a,1),2059(a,2,2))]. 8997 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [hyper(262,a,2059,a,b,8993,a),flip(a)]. 8998 K(((K(x,y) * z) * u) * w,v5) = K(K(x,y) * ((z * u) * w),v5). [hyper(62,a,8931,a(flip),b,8997,a)]. 8999 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(262,a,2059,a,b,8996,a),flip(a)]. 9000 K(x * L(K(y,z),u,w),v5) = K(K(y,z) * x,v5). [para(3244(a,1),8999(a,1,1,2))]. 9002 K(K(x,y) * ((z * u) * (w \ 1)),v5) != v6 | K(v5,w / ((K(x,y) * z) * u)) = v6. [para(8998(a,1),7121(a,1))]. 9003 a(x,y,K(z * u,T(u,y))) * K(x,R(T(z,u * y),u,y)) = K(x,y \ (u \ ((z * u) * y))). [para(555(a,1),8948(a,1,2,2))]. 9004 K(x,y / ((K(z,u) * w) * v5)) = K(x,y * ((w * v5) \ K(u,z))). [hyper(9002,a,8960,a)]. 9005 K(x,((K(y,z) * u) * (w * v5)) * ((u * w) \ K(z,y))) = K(x,L(T(v5,(K(y,z) * u) * w),w,K(y,z) * u)). [hyper(62,a,4399,a(flip),b,9004,a),flip(a)]. 9006 K(x,L(y,z,K(u,w) * (v5 * (K(w,u) * v6)))) = K(x,L(y,z,v5 * v6)). [hyper(262,a,7052,a(flip),b,8937,a),flip(a)]. 9008 K(x,L(y,z,(u * K(w,v5)) * v6)) != v7 | K(x,L(y,z,K(w,v5) * (u * v6))) = v7. [para(8959(a,1),7054(a,1))]. 9009 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(2436,a,8971,a),flip(a)]. 9010 K(((x \ y) * x) / T(L(K(z,u),w,v5) * x,K(v6,v7)),v8) = K(x \ (L(K(u,z),w,v5) * y),v8). [hyper(62,a,8173,a,b,9009,a)]. 9011 x * K(y,T(z,L(u / (w / v5),w,v5))) = x * K(y,T(z,v5 * (u \ w))). [hyper(62,a,8064,a(flip),b,8677,a),flip(a)]. 9012 x * K(y,T(z,(u * w) / v5)) = x * K(y,T(z,w * (u \ v5))). [para(7694(a,1),9011(a,1,2,2))]. 9013 x * K(y,T(z,(u * w) * v5)) = x * K(y,T(z,w * (u \ v5))). [para(8050(a,1),9012(a,1,2))]. 9014 ((x * y) \ z) * T(((x * y) \ z) \ a(x,y,K(u,y \ z)),u) = K(u,y \ (x \ z)). [para(3003(a,1),8947(a,1,2,1,2,3))]. 9015 K(x,(y * z) \ u) * a(y,z,K(x,z \ u)) = K(x,z \ (y \ u)). [hyper(62,a,8941,a(flip),b,9014,a)]. 9016 K(x,y \ (z \ (u * x))) = K(x,y \ (z \ u)). [hyper(62,a,7547,a(flip),b,9015,a)]. 9017 K(x,K(y,z * u)) * K(x,(a(w,v5,K(v6,v7)) * (u \ z)) \ y) = K(x,y / (a(w,v5,K(v6,v7)) * (u \ z))). [para(8142(a,1),8912(a,1,1))]. 9018 (x * (K(y,K(z,u)) * w)) \ (x * (K(y,K(z,u)) * (w * v5))) = L(v5,w,K(y,K(z,u)) * x). [para(8861(a,1),8873(a,1,2))]. 9019 L(x,K(y,K(z,u)) * w,v5) = L(x,w,K(y,K(z,u)) * v5). [hyper(62,a,8809,a(flip),b,9018,a)]. 9020 K(x,K(y,z)) * ((u * w) \ (u * ((K(x,K(y,z)) * w) * v5))) = L(v5,w,K(x,K(y,z)) * u). [hyper(62,a,8940,a,b,9019,a)]. 9021 K(x,K(y,z)) * ((u * w) \ (u * (w * (K(x,K(y,z)) * v5)))) = L(v5,w,K(x,K(y,z)) * u). [para(8861(a,1),9020(a,1,2,2,2))]. 9022 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * w) \ (u * (w * v5)))) = L(v5,w,K(x,K(y,z)) * u). [para(8783(a,1),9021(a,1,2))]. 9023 K(x,K(y,z)) * (K(x,K(y,z)) * L(u,w,v5)) = L(u,w,K(x,K(y,z)) * v5). [para(18(a,2),9022(a,1,2,2))]. 9024 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [hyper(3865,a,9023,a),flip(a)]. 9026 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(62,a,9019,a,b,9024,a)]. 9028 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(3575(a,1),9026(a,1,2))]. 9029 L(x,y \ K(z,K(u,w)),v5) = L(x,y \ 1,v5). [para(7956(a,1),9026(a,1,2))]. 9030 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(62,a,8403,a(flip),b,9028,a)]. 9032 L(x,K(y,z),u) * (K(y,z) * u) = (x * K(y,z)) * u. [para(9030(a,1),94(a,1,1))]. 9033 K(x,L(y,K(z,u),w)) * (T(L(y,K(z,u),w),x) * (K(z,u) * w)) = (y * K(z,u)) * w. [hyper(2473,a,9032,a)]. 9034 a(x,(y * K(z,u)) * w,K(v5,L(y,K(z,u),w))) = a(L(y,K(z,u),w),K(z,u) * w,K(x,v5)). [para(9032(a,1),7207(a,1,2))]. 9035 K(x,L(y,(z * K(u,w)) * v5,L(z,K(u,w),v5))) = K(x,L(y,K(u,w) * v5,L(z,K(u,w),v5))). [para(9032(a,1),7345(a,1,2,2))]. 9036 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * ((z * L(K(x,y),u,w)) / z). [para(3895(a,1),8653(a,1,1))]. 9038 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = z * L(K(x,T(y,z)),u,w). [para(4248(a,1),9036(a,2,2))]. 9039 (K(x,y) * z) * (K(y,x) * L(K(x,y),u,w)) = L(K(x,y),u,w) * z. [hyper(262,a,3413,a(flip),b,9038,a),flip(a)]. 9040 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(y,x) * L(K(x,y),u,w),y)) = L(K(x,y),u,w) * z. [hyper(62,a,7027,a,b,9039,a)]. 9041 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [para(7038(a,1),9039(a,1,2))]. 9042 a(x,y,K(z,T(u,y))) * K(x,R(T(z,u * y),u,y)) = K(x,y \ (u \ ((z * u) * y))). [para(4102(a,1),9003(a,1,1,3))]. 9043 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(8108,a,9010,a)]. 9044 K(x,K(y,z)) * ((1 \ (u * (w * (K(x,K(y,z)) * v5)))) \ ((u * w) * v5)) = a(u,w,K(x,K(y,z)) * v5). [para(64(a,2),8782(a,1,2,1))]. 9046 K(x,K(y,z) * (u * w)) * K(K(y,z) * (u * w),L(x,v5,v6)) = a((K(y,z) * u) * w,v5,K(v6,x)). [para(8921(a,1),8928(a,1,2))]. 9047 a((K(x,y) * z) * u,w,K(v5,v6)) = a(K(x,y) * (z * u),w,K(v5,v6)). [hyper(7258,a,9046,a),flip(a)]. 9048 a((x \ K(y,z)) \ u,w,K(v5,v6)) = a(K(z,y) * (x * u),w,K(v5,v6)). [hyper(62,a,7594,a,b,9047,a)]. 9049 K(x,K(y,z)) * ((K(x,K(y,z)) * (1 \ (u * (w * v5)))) \ ((u * w) * v5)) = a(u,w,K(x,K(y,z)) * v5). [para(8783(a,1),9044(a,1,2,1))]. 9050 K(x,K(y,z)) * ((K(x,K(y,z)) * (u * (w * v5))) \ ((u * w) * v5)) = a(u,w,K(x,K(y,z)) * v5). [para(64(a,1),9049(a,1,2,1,2))]. 9051 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w,K(x,K(y,z)) * v5). [para(8879(a,1),9050(a,1,2))]. 9052 K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w,K(x,K(y,z)) * v5). [para(14(a,2),9051(a,1,2,2))]. 9053 a(x,y,K(z,K(u,w)) * v5) = a(x,y,v5). [hyper(3865,a,9052,a),flip(a)]. 9055 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [para(3575(a,1),9053(a,1,3))]. 9056 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(4292(a,1),9053(a,1,3))]. 9057 a(x \ (y \ x),z,K(u,w)) = a(u,z,K(y,w)). [hyper(7238,a,9055,a)]. 9058 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [hyper(262,a,7025,a,b,9055,a),flip(a)]. 9059 a(x,(y * z) \ 1,K(u,y)) = a(x,z \ 1,K(u,z \ (y * z))). [hyper(62,a,7470,a(flip),b,9055,a),flip(a)]. 9060 a(x,y,K(z,T(u,w))) != v5 | a(z,y,K(u,x)) = v5. [para(9055(a,2),7221(a,1))]. 9061 a(x,y,K(z,u)) * K(x,(z * w) \ w) = K(x,L((z * w) \ w,y,u)). [para(9055(a,1),7265(a,1,1))]. 9062 a(x,y,K(z,u)) * K(x,(u * y) \ (z * y)) = K(x,y \ (u \ (z * y))). [para(9055(a,1),8948(a,1,1))]. 9063 a(x,y,K(z,u)) * K(x,R(T(z,u * y),u,y)) = K(x,y \ (u \ ((z * u) * y))). [para(9055(a,1),9042(a,1,1))]. 9064 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(9058(a,2),7234(a,1))]. 9065 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). [para(9058(a,1),7734(a,1,2))]. 9066 a(x,y,K(z,u)) * K(u,(z * y) \ (x * y)) = K(u,y \ (z \ (x * y))). [para(9058(a,1),8948(a,1,1))]. 9067 a(x,y,K(z,u \ w)) * K(z,x) = K(z,L(x,y,w / (u * z))). [para(9056(a,1),7268(a,1,1))]. 9068 K(x,L(y,z,u \ (w \ K(w,u)))) = K(x,y) * a(x,z,K(y,(w \ 1) \ u)). [para(9056(a,1),7374(a,2,2))]. 9069 K(x,(y * z) / u) * a(x,u,K(z,y \ u)) = K(x,y / (u / z)). [para(9056(a,1),7737(a,1,2))]. 9072 a(x,(y * z) \ 1,K(u,y)) = a(x,z \ 1,K(u,T(y,z))). [para(22(a,2),9059(a,2,3,2))]. 9073 a(x,(y * z) \ 1,K(u,y)) = a(x,z \ 1,K(u,y)). [hyper(262,a,9055,a(flip),b,9072,a),flip(a)]. 9075 K(x,y) * a(z,u \ 1,K(y,x)) = K(x,L(y,(x * u) \ 1,z)). [para(9073(a,1),6044(a,1,2))]. 9076 K(x,L(y,z,u / (w * x))) != v5 | K(x,L(y,z,w \ u)) = v5. [para(9067(a,1),7053(a,1))]. 9077 K(x,L(y,(x * z) \ 1,u)) = K(x,L(y,z \ 1,u)). [hyper(6096,a,9075,a),flip(a)]. 9078 K(x,L(y,((x * z) \ 1) * x,u)) = K(x,L(y,z \ 1,u)). [hyper(6147,a,9077,a)]. 9079 K(x,L(y,x * ((z * x) \ 1),u)) = K(x,L(y,z \ 1,u)). [para(2651(a,1),9078(a,1,2,2))]. 9080 K(x,L(y,(z * x) \ 1,u)) = K(x,L(y,z \ 1,u)). [hyper(6104,a,9079,a)]. 9081 a(x \ y,y,K(z,u)) * K(z,(x * u) / y) = K(z,x / (y / u)). [hyper(8857,a,9069,a)]. 9082 K(x,(y * z) * (u / (y * z))) * a(x,(y * z) / u,K(z,y \ ((y * z) / u))) = K(x,y / (((y * z) / u) / z)). [para(664(a,1),9069(a,1,1,2))]. 9083 a(x,y,K(z \ y,u)) * K(u,(z * x) / y) = K(u,z / (y / x)). [hyper(7361,a,9081,a)]. 9084 a(x,y,K(z,u \ y)) * K(z,u / (y / x)) = K(z,(u * x) / y). [hyper(7255,a,9081,a)]. 9085 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(7030(a,1),9081(a,1,1))]. 9086 a(x \ ((y \ z) \ 1),y,K(z,u)) * K(z,(x * u) / ((y \ z) \ 1)) = K(z,x / (((y \ z) \ 1) / u)). [para(7462(a,1),9081(a,1,1))]. 9087 ((x \ 1) * a(y \ z,z,K(x,u))) / (x \ K((y * u) / z,x)) = T(K(x,y / (z / u)),x). [para(9081(a,1),8380(a,2,1))]. 9088 a(x,y,K(z,y \ u)) * K(z,(u * x) / y) = K(z,u / (y / x)). [para(3003(a,1),9083(a,1,1,3))]. 9089 a(x,y,K(z * ((z \ 1) / u),w \ y)) * K(z * ((z \ 1) / u),w / (y / x)) = K((w * x) / y,u). [hyper(262,a,7140,a(flip),b,9084,a),flip(a)]. 9090 K(x,L((y * z) \ z,u,w)) = a(x,u,K(y,w)) * K(y,T(x,z)). [para(3502(a,1),9061(a,1,2)),flip(a)]. 9092 a(x,y,K(z,u)) * K(z,T(x,w)) = K(z,L(T(x,w),y,u)). [hyper(62,a,6106,a(flip),b,9090,a),flip(a)]. 9093 a(T(x,y),z,K(u,w)) = a(x,z,K(u,w)). [hyper(34,a,7052,a,b,9092,a)]. 9094 K(x,T(y,z)) * K(y,L(T(x,z),u,w)) = a(y,u,K(w,x)). [hyper(7539,a,9093,a)]. 9095 a(x / y,z,K(u,w)) = a(y \ x,z,K(u,w)). [para(100(a,1),9093(a,1,1)),flip(a)]. 9096 a(x * ((x \ 1) / y),z,K(u,w)) * K(x * ((x \ 1) / y),(w * z) \ (u * z)) = K(z \ (w \ (u * z)),y). [hyper(262,a,7140,a(flip),b,9062,a),flip(a)]. 9098 K(x,y \ (z \ (u * y))) != w | a(x,y,K(u,z)) * K(x,(z * y) \ (u * y)) = w. [para(9066(a,1),7361(a,1))]. 9099 a(x \ y,z,K(u,w)) * K(w,(u * z) \ ((y / x) * z)) = K(w,z \ (u \ ((y / x) * z))). [para(9095(a,1),9066(a,1,1))]. 9100 K(x,L(y,z,u \ (w \ K(w,u)))) = K(x,L(y,z,u \ (w \ 1))). [hyper(262,a,7260,a(flip),b,9068,a),flip(a)]. 9101 K(x,L(y,z,(u * w) \ 1)) = K(x,L(y,z,u \ (w \ 1))). [hyper(7537,a,9100,a)]. 9102 K(x,L(y,z,(u / (w * K(v5,v6))) \ 1)) = K(x,L(y,z,u \ ((w \ K(v6,v5)) \ 1))). [hyper(62,a,8389,a,b,9101,a)]. 9103 a(x,y,K(z,u)) * K(x,L(T(z,u * y),u,y)) = K(x,y \ (u \ ((z * u) * y))). [para(7649(a,1),9063(a,1,2))]. 9105 K(x,L(y,z,(u / (w * K(v5,v6))) \ 1)) = K(x,L(y,z,u \ (K(v5,v6) * w))). [para(7163(a,1),9102(a,2,2,3,2))]. 9106 a(x,y,K(z,z \ u)) * K(x,L(T(z,(z \ u) * y),z \ u,y)) = K(x,y \ ((z \ u) \ (u * y))). [para(10(a,1),9103(a,2,2,2,2,1))]. 9107 a(x * y,x,K(z,y)) * K(x * y,T(z,y * x)) = K(x * y,x \ (y \ ((z * y) * x))). [para(7346(a,1),9103(a,1,2))]. 9108 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(7453,a,9065,a),flip(a)]. 9110 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(3398(a,1),9108(a,1,1))]. 9111 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(4587(a,1),9110(a,1,2))]. 9112 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(408,a,9111,a),flip(a)]. 9113 ((x * (K(y,z) * u)) * K(w,v5)) / (K(y,z) * (u * K(w,v5))) = L(x,K(y,z) * u,K(w,v5)). [hyper(62,a,8868,a,b,9112,a)]. 9114 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(62,a,7733,a(flip),b,9112,a),flip(a)]. 9115 L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [hyper(62,a,2437,a(flip),b,9112,a),flip(a)]. 9116 L((x / K(y,z)) / u,u,K(y,z)) = x / (u * K(y,z)). [hyper(62,a,487,a(flip),b,9112,a),flip(a)]. 9117 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(9112(a,1),94(a,1,1))]. 9118 L(x \ 1,y,K(z,u)) = T(x,a(u,y,z)) \ 1. [hyper(262,a,2505,a(flip),b,9114,a),flip(a)]. 9119 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [hyper(104,a,9114,a,b,7081,a)]. 9120 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [hyper(8885,a,9114,a(flip))]. 9121 L(x / y,z,K(u,w)) \ x = x * T(x \ y,a(w,z,u)). [para(9114(a,2),3564(a,1,1))]. 9122 (x / y) * a(z,u,K(w,y)) = x / L(y,u,K(w,z)). [para(9114(a,2),6496(a,2,2))]. 9123 T(x * y,a(x,z,u)) = x * L(y,z,K(u,x)). [para(9114(a,2),7340(a,2,2))]. 9124 x * L(x \ y,z,K(u,w)) = y * a(x \ y,z,K(u,w)). [para(9114(a,2),7085(a,1,2))]. 9125 (x * y) * a(x,z,K(u,w)) = L(x,z,K(u,w)) * y. [para(9114(a,2),8853(a,2,1))]. 9127 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(9114(a,2),9118(a,2,1))]. 9128 L(x * y,z,K(u,x)) = x * L(y,z,K(u,x)). [hyper(62,a,9114,a,b,9123,a)]. 9129 K(x,y * (z / L(u,w,K(v5,v6)))) = K(x,y * (z / u)). [para(9122(a,1),8969(a,1,2,2))]. 9130 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(34,a,7040,a(flip),b,9125,a),flip(a)]. 9131 T(x,a(y,z,u) \ x) = L(x,z,K(y,u)). [hyper(62,a,6491,a,b,9130,a)]. 9132 x * (a(y,z,K(u,x)) * w) = L(x,z,K(y,u)) * w. [para(9130(a,1),6138(a,1,1)),flip(a)]. 9133 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [para(9131(a,1),7082(a,1,1)),flip(a)]. 9134 x * (y * a(z,u,K(w,x))) = L(x,u,K(z,w)) * y. [hyper(62,a,8856,a(flip),b,9132,a)]. 9135 x \ (y * (z * a(u,w,K(v5,y)))) = x \ (L(y,w,K(u,v5)) * z). [hyper(104,a,9134,a,b,10,a)]. 9137 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [para(9115(a,1),8830(a,1,2)),flip(a)]. 9138 K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). [hyper(8111,a,9137,a)]. 9139 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(262,a,8156,a(flip),b,9138,a),flip(a)]. 9140 (x * ((x * K(y,K(z,u))) \ w)) / x = w / (x * K(y,K(z,u))). [hyper(62,a,8369,a(flip),b,9116,a)]. 9141 L(x / y,z,K(u,w)) \ x = x * L(x \ y,z,K(u,w)). [para(9114(a,2),9121(a,2,2))]. 9142 (x \ y) * a(z,u,K(x,w)) = y * L(y \ (x \ y),u,K(z,w)). [para(9057(a,1),9124(a,2,2)),flip(a)]. 9143 x * L(x \ (x / y),z,K(u,w)) = x / L(y,z,K(u,w)). [hyper(1320,a,9141,a),flip(a)]. 9144 x * L(x \ (y \ x),z,K(u,w)) = L(y,z,K(u,w)) \ x. [para(74(a,1),9141(a,1,1,1)),flip(a)]. 9145 K(x,y * L(z \ L((x / z) \ ((x / z) / u),w,K(v5,v6)),z,z \ x)) = K(x,y * ((x / z) / L(u,w,K(v5,v6)))). [para(9143(a,1),6234(a,2,2,2))]. 9146 (x * (x \ (K(y,K(z,u)) * w))) / x = w / (x * K(y,K(z,u))). [para(8807(a,1),9140(a,1,1,2))]. 9147 (x \ y) * a(z,u,K(x,w)) = L(x,u,K(z,w)) \ y. [hyper(262,a,9144,a(flip),b,9142,a),flip(a)]. 9148 (K(x,K(y,z)) * u) / w = u / (w * K(x,K(y,z))). [para(10(a,1),9146(a,1,1))]. 9149 x / (y * K(z,K(u,w))) = K(z,K(u,w)) * (x / y). [hyper(62,a,8808,a(flip),b,9148,a),flip(a)]. 9151 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x / w). [para(7939(a,2),9149(a,1,2))]. 9152 x / (y * (K(z,K(u,w)) * v5)) = K(z,K(u,w)) * (x / (y * v5)). [para(8659(a,1),9149(a,1,2))]. 9153 (L(x,y,K(z \ y,u)) \ 1) / (x \ K((z * u) / y,x)) = T(K(x,z / (y / u)),x). [para(9147(a,1),9087(a,1,1))]. 9154 (L(x,y,K(z,y \ u)) \ 1) / (x \ K((u * z) / y,x)) = T(K(x,u / (y / z)),x). [para(3003(a,1),9153(a,1,1,1,3))]. 9155 L(x \ 1,y,K(z,y \ u)) / (x \ K((u * z) / y,x)) = T(K(x,u / (y / z)),x). [para(9127(a,2),9154(a,1,1))]. 9156 L(x \ 1,y,K(z,y \ u)) / (x \ K(x,y / (u * z))) = T(K(x,u / (y / z)),x). [para(2617(a,1),9155(a,1,2,2))]. 9157 L(x \ 1,y,K(z,y \ u)) / (x \ K(x,y / (u * z))) = K(x,u / (y / z)). [hyper(262,a,2083,a(flip),b,9156,a),flip(a)]. 9158 L(x \ 1,y,K(z,y \ u)) / (x \ K(x,y / (u * z))) != w | K(x,u / (y / z)) = w. [para(9156(a,2),3513(a,1))]. 9159 L(x \ 1,y,K(K(z,u),y \ (w * u))) / (x \ K(x,y / (w * T(u,z \ u)))) = K(x,(w * u) / (y / K(z,u))). [para(2936(a,1),9157(a,1,2,2,2,2))]. 9160 a(x,y,K(z,u)) * K(x,(z * y) \ ((z / u) * y)) = K(x,y \ (z \ ((z / u) * y))). [para(7034(a,1),9099(a,1,1))]. 9162 a(x,x,K(y,z)) * K(x * z,T(y,z * x)) = K(x * z,x \ (z \ ((y * z) * x))). [para(7355(a,1),9107(a,1,1))]. 9163 K(x * y,x \ (y \ ((z * y) * x))) = 1 * K(x * y,T(z,y * x)). [para(7019(a,1),9162(a,1,1)),flip(a)]. 9164 K(x * y,x \ (y \ ((z * y) * x))) = 1 * K(x * y,z). [para(3441(a,1),9163(a,2,2))]. 9166 K(x * y,(z * y) * x) = K(x * y,z). [hyper(103,a,9164,a(flip),b,7338,a(flip)),flip(a)]. 9168 K(x * y,(T(z,y) * y) * x) = K(y * x,z). [hyper(262,a,3931,a(flip),b,9166,a),flip(a)]. 9169 K(x * y,T(z * y,y) * x) = K(y * x,z). [para(205(a,2),9168(a,1,2,1))]. 9170 K(x * y,(y * z) * x) = K(y * x,z). [hyper(62,a,7819,a(flip),b,9169,a)]. 9171 K(x \ y,(y * z) * (x \ a(u,w,K(v5,v6)))) = K(y * (x \ a(u,w,K(v5,v6))),z). [hyper(62,a,8986,a(flip),b,9170,a)]. 9172 a(x,y,K(z,u)) * K(x,L(T(z,(z \ u) * y),z \ u,y)) = K(x,y \ ((z \ u) \ (u * y))). [para(2088(a,1),9106(a,1,1,3))]. 9173 a(x,y,K(z,u)) * K(x,L(T(z,u * y),z \ u,y)) = K(x,y \ ((z \ u) \ (u * y))). [para(6578(a,1),9172(a,1,2,2,1))]. 9174 a(x,y,K(z,u)) * K(x,L(T(z,u * y),u,y)) = K(x,y \ ((z \ u) \ (u * y))). [para(6122(a,1),9173(a,1,2))]. 9175 K(x,y \ ((z \ u) \ (u * y))) = K(x,y \ (u \ ((z * u) * y))). [hyper(62,a,9103,a(flip),b,9174,a),flip(a)]. 9176 K(x * ((x \ 1) / y),z \ (u \ ((w * u) * z))) = K(z \ ((w \ u) \ (u * z)),y). [hyper(62,a,7140,a(flip),b,9175,a),flip(a)]. 9177 a(x,y,K(z,(y \ z) * u)) * K(z,(u * x) / ((y \ z) \ 1)) = K(z,u / (((y \ z) \ 1) / x)). [para(7552(a,1),9086(a,1,1))]. 9178 a(x,y,K(z,y \ u)) * K(z,(u * x) / ((y \ z) \ 1)) = K(z,u / (((y \ z) \ 1) / x)). [para(7276(a,1),9177(a,1,1,3))]. 9179 a(x,y,K(z,y \ u)) * K(z,(u * x) * (y \ z)) = K(z,u / (((y \ z) \ 1) / x)). [para(7092(a,1),9178(a,1,2))]. 9180 a(x,y,K(z,y \ u)) * K(z,(u * x) / y) = K(z,u / (((y \ z) \ 1) / x)). [para(7387(a,1),9179(a,1,2))]. 9181 K(x,y / (((z \ x) \ 1) / u)) = K(x,y / (z / u)). [hyper(62,a,9088,a(flip),b,9180,a),flip(a)]. 9182 a(x,y,K(z \ y,u)) * K(w * ((w \ 1) / u),z / (y / x)) = K((z * x) / y,u). [para(7140(a,1),9089(a,1,1,3))]. 9183 a(x,y,K(z,y \ u)) * K(w * ((w \ 1) / z),u / (y / x)) = K((u * x) / y,z). [para(3003(a,1),9182(a,1,1,3))]. 9185 a(x,y,K(z,y \ u)) * K(u / (y / x),z) = K((u * x) / y,z). [para(7140(a,1),9183(a,1,2))]. 9186 a(x,y,K(z,y \ u)) * K(z,(y / x) / u) = K((u * x) / y,z). [para(2617(a,1),9185(a,1,2))]. 9187 a(x,y,K(z,y \ u)) * K(z,(y / x) / u) = K(z,y / (u * x)). [hyper(262,a,2617,a(flip),b,9186,a),flip(a)]. 9188 a(L(x \ 1,x,y),y,K(z,y \ u)) * K(z,(y * x) / u) = K(z,y / (u * L(x \ 1,x,y))). [para(333(a,1),9187(a,1,2,2,1))]. 9189 a(x \ y,y,K(z,u)) * K(u,(x / z) / y) = K(u,x / (y * z)). [para(7030(a,2),9187(a,1,1))]. 9190 a(x \ y,y,K(z,u \ w)) * K(z,(x / (w \ u)) / y) = K(z,x / (y * (w \ u))). [para(3003(a,1),9189(a,1,1,3))]. 9191 a(x \ 1,y,K(z,L(y \ u,x,y))) * K(z,(y * x) / u) = K(z,y / (u * L(x \ 1,x,y))). [para(7353(a,1),9188(a,1,1))]. 9192 a(x,y,K(z,L(y \ u,z,y))) * K(x,(y * z) / u) = K(x,y / (u * L(z \ 1,z,y))). [para(7042(a,1),9191(a,1,1))]. 9193 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u * L(z \ 1,z,y))). [para(5504(a,1),9192(a,1,1,3))]. 9194 K(x,y / (z * L(u \ 1,u,y))) = K(x,y / (z / u)). [hyper(62,a,9085,a(flip),b,9193,a),flip(a)]. 9196 K(x / (y * z),L(u,y,z \ 1)) = K(u,y / (x / z)). [hyper(62,a,7741,a,b,9194,a)]. 9197 K(x,K(y,z)) * ((u \ K(x,K(y,z))) * (((u \ 1) * K(w,v5)) \ v6)) = (u \ K(v5,w)) * ((u \ 1) \ v6). [para(7099(a,1),8894(a,2,1))]. 9198 K(x,K(y,z)) * ((u \ K(x,K(y,z))) * ((u \ K(w,v5)) \ v6)) = (u \ K(v5,w)) * ((u \ 1) \ v6). [para(7099(a,1),9197(a,1,2,2,1))]. 9199 (x \ K(y,z)) * ((x \ 1) \ u) = (x \ 1) * ((x \ K(z,y)) \ u). [hyper(8890,a,9198,a),flip(a)]. 9201 K(x,y / (a(z,u,K(w,v5)) * (v6 \ v7))) = K(x,K(y,v7 * v6)) * K(x,(v6 \ v7) \ y). [para(8983(a,1),9017(a,1,2)),flip(a)]. 9202 K(x,y / (a(z,u,K(w,v5)) * (v6 \ v7))) = K(x,y / (v6 \ v7)). [hyper(262,a,8145,a(flip),b,9201,a),flip(a)]. 9204 K(x,y / (L(z,u,K(w,v5)) \ v6)) = K(x,y / (z \ v6)). [para(9133(a,1),9202(a,1,2,2))]. 9205 K(x,((K(y,z) * u) * (w * v5)) * ((u * w) \ K(z,y))) = K(x,L(T(v5,K(y,z) * (u * w)),w,K(y,z) * u)). [para(8908(a,1),9005(a,2,2,1))]. 9206 a(x,y,K(z,u)) * K(w * ((w \ 1) / u),(x * y) \ (z * y)) = K(y \ (x \ (z * y)),u). [para(7153(a,1),9096(a,1,1))]. 9207 a(x,y,K(z,u)) * K((x * y) \ (z * y),u) = K(y \ (x \ (z * y)),u). [para(7140(a,1),9206(a,1,2))]. 9209 a(x,y,K(z,u)) * K(u,(z * y) \ (x * y)) = K(y \ (x \ (z * y)),u). [para(3003(a,1),9207(a,1,2))]. 9210 K(x \ (y \ (z * x)),u) = K(u,x \ (z \ (y * x))). [hyper(62,a,9066,a(flip),b,9209,a),flip(a)]. 9211 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [hyper(3008,a,9210,a)]. 9212 K(x * ((x \ 1) / y),z \ (u \ ((w * u) * z))) = K(y,z \ (u \ ((w \ u) * z))). [hyper(62,a,9176,a,b,9210,a)]. 9213 K(x \ (y \ ((z * y) * x)),u) = K(u,x \ (y \ ((z \ y) * x))). [hyper(62,a,7140,a(flip),b,9212,a)]. 9214 K(x,y \ ((z * u) \ (u * y))) = K(x,y \ (u \ ((z \ u) * y))). [hyper(62,a,9210,a(flip),b,9213,a)]. 9215 K(x,y \ ((T(z,u \ 1) * u) \ (u * y))) = K(x,y \ (u \ ((u / z) * y))). [para(1233(a,1),9214(a,2,2,2,2,1))]. 9216 K(x,y \ ((z * u) \ (z * y))) = K(x,y \ (z \ ((z / u) * y))). [para(1241(a,1),9215(a,1,2,2,1))]. 9217 a(x,y,K(z,z * u)) * K(x,((z * u) * y) \ (z * y)) = K(x,y \ (z \ ((z / u) * y))). [hyper(9098,a,9216,a)]. 9218 a(x,y,K(z,u)) * K(x,((z * u) * y) \ (z * y)) = K(x,y \ (z \ ((z / u) * y))). [para(2133(a,1),9217(a,1,1,3))]. 9219 K(x,((y * z) * u) \ (y * u)) = K(x,(y * u) \ ((y / z) * u)). [hyper(33,a,9160,a,b,9218,a),flip(a)]. 9220 K(x,((y / z) * z) \ (((y / z) / u) * z)) = K(x,(((y / z) * u) * z) \ y). [para(12(a,1),9219(a,1,2,2)),flip(a)]. 9221 K(x,(T(y * z,K(z,u)) * w) \ (z * w)) = K(x,(z * w) \ ((z / T(y,T(z,u))) * w)). [para(3178(a,2),9219(a,1,2,1,1))]. 9222 K(x,(((y / z) * u) * z) \ y) = K(x,y \ (((y / z) / u) * z)). [para(12(a,1),9220(a,1,2,1)),flip(a)]. 9223 K(x,(T(y * (z / u),K(z / u,w)) * u) \ z) = K(x,z \ (((z / u) / T(y,T(z / u,w))) * u)). [para(3178(a,2),9222(a,1,2,1,1))]. 9224 K(x,((K(y,z) * u) * (w * v5)) * ((u * w) \ K(z,y))) = K(x,L(T(v5,u * w),w,K(y,z) * u)). [hyper(262,a,8226,a(flip),b,9205,a),flip(a)]. 9225 K(x,K(y,z) * ((u * (w * v5)) * ((u * w) \ K(z,y)))) = K(x,L(T(v5,u * w),w,K(y,z) * u)). [hyper(8972,a,9224,a)]. 9227 K(x,L(T(y,z * u),u,K(w,v5) * z)) = K(x,(z * (u * y)) / (z * u)). [hyper(8938,a,9225,a),flip(a)]. 9228 K(x,L(T(y,z * u),u,K(w,v5) * z)) = K(x,L(T(y,z * u),u,z)). [hyper(262,a,4399,a(flip),b,9227,a),flip(a)]. 9229 K(x,L(T(T(y,z * u),z * u),u,z)) = K(x,L(y,u,K(w,v5) * z)). [hyper(4311,a,9228,a),flip(a)]. 9230 a(x,y,K(K(z,u) * w,T(v5,w * y))) = K(T(v5,w * y),x) * K(x,L(T(v5,w * y),y,w)). [para(9228(a,1),7247(a,1,2)),flip(a)]. 9231 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [hyper(4311,a,9229,a),flip(a)]. 9232 K(x,L(y,z,K(u,w) * v5)) != v6 | K(x,L(y,z,v5)) = v6. [para(9229(a,1),4311(a,1))]. 9235 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(2203(a,1),9231(a,1,2,3)),flip(a)]. 9236 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [para(3027(a,1),9231(a,1,2,3))]. 9239 K(x,L(y,z,(u * x) \ w)) != v5 | K(x,L(y,z,u \ w)) = v5. [para(9235(a,1),9076(a,1))]. 9241 ((x * K(y,z)) * u) * K(w,L(v5,u,x)) = (x * K(y,z)) * (u * K(w,v5)). [para(9236(a,1),6048(a,1,2))]. 9243 K(x,L(y,z,u * w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(1523(a,1),9232(a,1,2,3))]. 9244 K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(2102(a,2),9232(a,1,2,3))]. 9245 K(x,L(y,z,T(u,w) * v5)) != v6 | K(x,L(y,z,u * v5)) = v6. [para(2107(a,1),9232(a,1,2,3))]. 9246 K(x,L(y,z,T(u,w) \ v5)) != v6 | K(x,L(y,z,u \ v5)) = v6. [para(2392(a,1),9232(a,1,2,3))]. 9248 K((x / y) * L(y,z,z \ 1),L(u,x,y)) = K(x * a((x \ (T(y,x \ 1) \ x)) \ 1,z,z \ 1),u). [hyper(9244,a,7604,a)]. 9249 K(x,L(y,z,(u / w) \ 1)) != v5 | K(x,L(y,z,u \ w)) = v5. [para(7834(a,1),9244(a,1))]. 9251 K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ u)). [hyper(9243,a,7413,a)]. 9253 K(x,L(y,z,(u \ K(w,v5)) \ v6)) = K(x,L(y,z,v6 * (K(v5,w) * u))). [para(7163(a,1),9251(a,1,2,3,2)),flip(a)]. 9254 K(x,L(y,z,u \ K(w,v5))) != v6 | K(x,L(y,z,u \ 1)) = v6. [para(9251(a,1),9232(a,1))]. 9258 K(x,L(y,z,(u * x) * w)) != v5 | K(x,L(y,z,u * w)) = v5. [para(7425(a,1),9245(a,1))]. 9259 a(x,y,K(K(z,u) * w,T(v5,w * y))) = K(v5,T(x,w * y)) * K(x,L(T(v5,w * y),y,w)). [hyper(3569,a,9230,a(flip)),flip(a)]. 9260 a(x,y,K(K(z,u) * w,T(v5,w * y))) = a(x,y,K(w,v5)). [hyper(262,a,9094,a(flip),b,9259,a),flip(a)]. 9261 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(9064,a,9260,a)]. 9262 a(K(x,y) * z,u,K(w,v5)) = a(v5,u,K(z,w)). [hyper(9060,a,9260,a)]. 9264 a(x,y,K(z,K(u,w) * v5)) = a(z,y,K(v5,x)). [hyper(7234,a,9261,a)]. 9266 a(x,y,K((z / u) \ w,v5)) = a(x,y,K((u \ z) \ w,v5)). [para(2448(a,1),9261(a,1,3,1)),flip(a)]. 9267 a((x \ K(y,z)) \ u,w,K(v5,v6)) = a(v6,w,K(x * u,v5)). [hyper(62,a,9048,a,b,9262,a)]. 9268 a(x * K(y,z),u,K(w,v5)) = a(v5,u,K(x,w)). [para(3027(a,1),9262(a,1,1))]. 9269 a(x,y,K(z,K(u,w) * v5)) = a(x,y,K(z,v5)). [hyper(262,a,7025,a(flip),b,9264,a),flip(a)]. 9270 a(x,y,K(z,T(u,w) * v5)) = a(z,y,K(u * v5,x)). [para(2107(a,1),9264(a,1,3,2))]. 9271 a(x,(y * K(z,u)) * w,K(y,v5)) = a(y * K(z,u),w,K(v5,x)). [hyper(7322,a,9268,a),flip(a)]. 9272 a(x,y,K((z / u) \ w,v5)) = a(x,y,K(v5,w \ (u \ z))). [hyper(262,a,5736,a(flip),b,9266,a),flip(a)]. 9274 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,u \ (v5 \ w))). [hyper(62,a,5736,a(flip),b,9272,a)]. 9275 a(x,(y * K(z,u)) * w,K(y,v5)) = a(x,w,K(y,v5)). [hyper(262,a,9268,a(flip),b,9271,a),flip(a)]. 9277 K(x * a((x \ (T(y,x \ 1) \ x)) \ 1,z,z \ 1),u) = K(u,((L(y,z,z \ 1) \ 1) * y) / x). [hyper(62,a,7687,a(flip),b,9248,a),flip(a)]. 9278 K(x * a((x \ (T(y,x \ 1) \ x)) \ 1,z,z \ 1),u) = K(u,(L(y,z,z \ 1) \ y) / x). [para(498(a,1),9277(a,2,2,1))]. 9279 K(x * a((x \ (T(y,x \ 1) \ x)) \ 1,z,z \ 1),u) = K(u,a(z \ 1,z,y) / x). [para(1145(a,1),9278(a,2,2,1))]. 9280 K(x * a((x \ (T(y,x \ 1) \ x)) \ 1,z,z \ 1),u) = K(u,x \ a(z \ 1,z,y)). [hyper(262,a,8824,a(flip),b,9279,a),flip(a)]. 9281 K(x * a((x \ (x / y)) \ 1,z,z \ 1),u) = K(u,x \ a(z \ 1,z,y)). [para(1233(a,1),9280(a,1,1,2,1,1,2))]. 9282 K(x * a((x \ (y \ x)) \ 1,z,z \ 1),u) = K(u,x \ a(z \ 1,z,y)). [para(7403(a,1),9281(a,1,1,2))]. 9283 K(L(x,y,y \ 1) * (x \ z),u) = K(u,z \ a(y \ 1,y,x)). [hyper(4736,a,9282,a)]. 9284 K(L(x,y,y \ 1) * (x \ z),u \ K(w,z \ a(y \ 1,y,x))) = K(u,L(x,y,y \ 1) * (x \ z)). [para(9282(a,1),4730(a,1,2,2))]. 9286 K(x \ K(y,z \ a(u \ 1,u,w)),z \ a(u \ 1,u,w)) = K(x,L(w,u,u \ 1) * (w \ z)). [hyper(62,a,9283,a(flip),b,9284,a)]. 9287 K(a(x \ 1,x,y) \ z,u \ K(w,z \ a(x \ 1,x,y))) = K(u,L(y,x,x \ 1) * (y \ z)). [hyper(3037,a,9286,a)]. 9288 K(x,L(y,z,z \ 1) * (y \ u)) = K(x,a(z \ 1,z,y) \ u). [hyper(3659,a,9287,a),flip(a)]. 9289 K(x,a(y \ 1,y,z / u) \ z) = K(x,L(z / u,y,y \ 1) * u). [para(77(a,1),9288(a,1,2,2)),flip(a)]. 9290 K(x,a(y \ 1,y,z / u) \ z) = K(x,u * L(u \ z,y,y \ 1)). [para(551(a,1),9289(a,2,2))]. 9291 K(x,a(y \ 1,y,z \ u) \ u) = K(x,z * L(z \ u,y,y \ 1)). [para(7371(a,1),9290(a,1,2,1))]. 9292 K(x,a(y \ 1,y,(z \ 1) \ u) \ u) = K(x,z \ L(z * u,y,y \ 1)). [para(1126(a,1),9291(a,2,2))]. 9293 K(x,a(y \ 1,y,(z \ 1) \ (z \ u)) \ (z \ u)) = K(x,z \ L(u,y,y \ 1)). [para(10(a,1),9292(a,2,2,2,1))]. 9294 K(x,K(K(y,z) * (u * w),u * w) * (v5 \ ((K(y,z) * w) * T(u,w)))) = K(x,v5 \ (u * (w * K(y,z)))). [para(98(a,1),8932(a,1,2,1,1,2))]. 9295 K(x,K(y,K(z,u * w)) * (v5 \ ((K(y,z) * w) * T(u,w)))) = K(x,v5 \ (u * (w * K(y,z)))). [para(3815(a,1),9294(a,1,2,1))]. 9296 K(x,y \ ((K(z,u) * w) * T(v5,w))) = K(x,y \ (v5 * (w * K(z,u)))). [hyper(8090,a,9295,a)]. 9298 x * a(y,z \ K(y,K(u,z)),K(u,(z \ K(K(y,u),z)) \ x)) = K(y,T(u,z)) * ((z \ 1) * ((z \ K(y,u)) \ x)). [para(3801(a,1),8953(a,1,2,2,2))]. 9299 K(x,y * L(z \ L((z \ x) \ ((z \ x) / u),w,K(v5,v6)),z,z \ x)) = K(x,y * ((x / z) / L(u,w,K(v5,v6)))). [para(7314(a,1),9145(a,1,2,2,1,2,1))]. 9300 L(x \ 1,y,K(z,K(u,y \ (w * u)))) / (x \ K(x,y / (w * T(u,z \ u)))) = K(x,(w * u) / (y / K(z,u))). [para(3801(a,1),9159(a,1,1,3))]. 9301 x * a(y,z \ K(y,K(u,z)),K(u,(z \ K(y,K(u,z))) \ x)) = K(y,T(u,z)) * ((z \ 1) * ((z \ K(y,u)) \ x)). [para(3801(a,1),9298(a,1,2,3,2,1,2))]. 9302 (x \ 1) / (x \ K(x,y / (z * T(u,w \ u)))) = K(x,(z * u) / (y / K(w,u))). [para(8798(a,1),9300(a,1,1))]. 9304 x * a(y,z \ K(y,K(u,z)),K(u,K(K(u,z),y) * (z * x))) = K(y,T(u,z)) * ((z \ 1) * ((z \ K(y,u)) \ x)). [para(8925(a,1),9301(a,1,2,3))]. 9305 K(x,T(y,z)) * ((z \ 1) * ((z \ K(x,y)) \ u)) = u * a(x,z \ K(x,K(y,z)),K(y,z * u)). [para(9269(a,1),9304(a,1,2)),flip(a)]. 9307 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(K(x,y) * K(y,x),y)) = L(K(x,y),u,w) * z. [para(9000(a,1),9040(a,1,2,3))]. 9308 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * a(x,z,K(1,y)) = L(K(x,y),u,w) * z. [para(2322(a,1),9307(a,1,2,3,1))]. 9310 (K(x,y) * (z * (K(y,x) * L(K(x,y),u,w)))) * 1 = L(K(x,y),u,w) * z. [para(325(a,1),9308(a,1,2))]. 9312 K(x,y) * (z * (K(y,x) * L(K(x,y),u,w))) = L(K(x,y),u,w) * z. [hyper(113,a,9310,a)]. 9314 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(7038(a,1),9312(a,1,2,2))]. 9315 L(K(x,y),z * a(x,u,K(w,y)),v5) \ ((L(K(x,y),u,w) * z) * v5) = (z * a(x,u,K(w,y))) * v5. [para(9314(a,1),7669(a,1,2,1))]. 9316 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(8835(a,1),9315(a,1,1))]. 9317 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(8850(a,1),9316(a,1,2))]. 9318 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(2400,a,9317,a)]. 9319 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(7362,a,9318,a),flip(a)]. 9320 a(x,y,K(z,u)) * (w * K(w * a(x,y,K(z,u)),v5)) = T(w * a(x,y,K(z,u)),v5). [hyper(2101,a,9319,a),flip(a)]. 9321 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(8920(a,1),9320(a,1,2,2))]. 9322 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(2097(a,2),9321(a,1,2)),flip(a)]. 9324 x \ (y * T((a(z,u,K(w,v5)) * (y \ x)) * a(v5,u,K(w,z)),v6)) = K((x \ (y * a(v5,u,K(w,z)))) \ 1,v6). [para(9322(a,2),7257(a,1,2,2))]. 9325 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(8852(a,1),9324(a,1,2,2,1)),flip(a)]. 9326 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(262,a,2265,a(flip),b,9325,a),flip(a)]. 9328 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(62,a,8907,a(flip),b,9326,a),flip(a)]. 9330 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(62,a,4254,a(flip),b,9328,a),flip(a)]. 9331 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(3072,a,9330,a)]. 9332 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(262,a,2614,a(flip),b,9331,a),flip(a)]. 9333 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(9041(a,1),9332(a,1,1,2))]. 9334 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(62,a,9043,a(flip),b,9333,a)]. 9336 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(262,a,8876,a(flip),b,9334,a),flip(a)]. 9337 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(10(a,1),9336(a,2,1,2,2))]. 9338 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K((x * K(z,y)) \ (K(u,y) * v6),v7). [hyper(62,a,8877,a,b,9337,a)]. 9341 K(x \ ((K(y,z) * L(K(y,u) \ 1,w,v5)) * v6),v7) = K(x \ (K(y,z) * (K(u,y) * v6)),v7). [hyper(262,a,8870,a(flip),b,9338,a),flip(a)]. 9342 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(2383(a,1),9341(a,2,1,2))]. 9343 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(2325(a,1),9342(a,1,1,2,1,2,1))]. 9344 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(5687(a,1),9343(a,1,1,2,1))]. 9345 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(7421(a,1),9344(a,1,1,2))]. 9346 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(8950,a,9345,a),flip(a)]. 9347 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(176(a,1),9346(a,1,1))]. 9348 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(3540,a,9347,a)]. 9349 K(L(x,K(y,z),u),w) = K(x,w). [hyper(7994,a,9348,a)]. 9350 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(6097,a,9349,a)]. 9351 L(K(x,y),K(z,u),w) = K(x,y). [hyper(6076,a,9349,a)]. 9358 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(2414(a,1),9350(a,1,2))]. 9360 (x * y) * (K(z,L(u,y,x)) * K(w,v5)) = (x * (y * K(z,u))) * K(w,v5). [para(9350(a,1),6101(a,1,2)),flip(a)]. 9361 K(x,L(y,z,L(u,K(w,v5),v6))) = a(y,z,K(x,u)) * K(x,y). [para(9350(a,1),7052(a,1,1,3)),flip(a)]. 9363 K(x,y) * (T(L(y,K(z,u),w),x) * (K(z,u) * w)) = (y * K(z,u)) * w. [para(9350(a,1),9033(a,1,1))]. 9364 a(L(x,K(y,z),u),K(y,z) * u,K(w,v5)) = a(w,(x * K(y,z)) * u,K(v5,x)). [para(9350(a,1),9034(a,1,3)),flip(a)]. 9365 L(K(x,T(y,K(z,u) * w)),K(v5,v6),v7) = K(x,L(T(y,w),v8,K(v9,v10))). [hyper(262,a,8833,a(flip),b,9351,a),flip(a)]. 9370 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(8106,a,9358,a)]. 9371 K(x,K(y,z) * (T(u,x) \ w)) = K(x,(u * K(z,y)) \ w). [hyper(262,a,4688,a,b,9358,a)]. 9372 K(x,K(y,z) * ((u * (z \ y)) \ w)) = K(x,(u * (y / z)) \ w). [para(3191(a,1),9358(a,1,2,1)),flip(a)]. 9373 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(8848,a,9370,a)]. 9374 K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). [hyper(7226,a,9370,a)]. 9375 K(x,K(y,z) * ((z * u) \ w)) = K(x,(T(z,y) * u) \ w). [para(2107(a,1),9370(a,1,2,1)),flip(a)]. 9376 K(x,K(y,K(z,u) * w)) * K(x,(K(z,u) * w) / y) = K(x,K(z,u) * (y \ w)). [hyper(8063,a,9373,a)]. 9377 K(x,K(y,T(z,u)) * (w \ u)) = K(x,w \ (u * K(y,z))). [para(3923(a,1),9373(a,1,2,2)),flip(a)]. 9378 a(x,y,K(z,K(u,w) * (v5 \ v6))) * K(z,x) = K(z,L(x,y,v5 \ (K(u,w) * v6))). [para(9373(a,1),7052(a,1,1,3))]. 9379 K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [para(7660(a,1),9373(a,1,2,2)),flip(a)]. 9380 K(x,K(y,z) * (u \ T(w,u))) = K(x,w * (u \ K(y,z))). [hyper(62,a,8359,a(flip),b,9374,a),flip(a)]. 9381 K(x,K(L(y,z,u),w) * (T(u * z,x) \ v5)) = K(x,(u * (z * K(w,y))) \ v5). [para(6048(a,1),9371(a,2,2,1))]. 9382 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [hyper(7806,a,9375,a)]. 9383 K(x,((y * (z / y)) * u) \ w) = K(x,K(y \ z,z) * ((z * u) \ w)). [para(887(a,1),9375(a,2,2,1,1)),flip(a)]. 9384 K(x,y \ (z * K(u,w))) = K(x,K(w,u) * (y \ z)). [hyper(62,a,8367,a(flip),b,9377,a),flip(a)]. 9386 K(x,K(y,z) * (u \ (w * z))) = K(x,u \ (w * T(z,y))). [para(2905(a,1),9384(a,1,2,2)),flip(a)]. 9387 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). [hyper(62,a,8072,a(flip),b,9380,a)]. 9388 K(x,(T(y,K(z,u)) * w) \ v5) = K(x,(y * w) \ v5). [hyper(8090,a,9382,a),flip(a)]. 9389 K(x,y \ (((y / z) / T(u,T(y / z,w))) * z)) = K(x,((u * (y / z)) * z) \ y). [hyper(62,a,9223,a(flip),b,9388,a)]. 9390 K(x,(y * z) \ ((y / T(u,T(y,w))) * z)) = K(x,((u * y) * z) \ (y * z)). [hyper(62,a,9221,a(flip),b,9388,a)]. 9391 K(x,T(y,z * u) \ (z * T(u,w))) = K(x,K(w,u) * ((z * u) / y)). [hyper(62,a,8073,a(flip),b,9386,a),flip(a)]. 9392 K(x,L(y,z,L(u,K(w,v5),v6))) != v7 | K(x,L(y,z,u)) = v7. [para(9361(a,2),7053(a,1))]. 9393 K(x,L(y,K(z,u) * w,L(v5,K(z,u),w))) = K(x,L(y,(v5 * K(z,u)) * w,v5)). [hyper(9392,a,9035,a),flip(a)]. 9394 K(x,(y * (z / K(u,w))) \ v5) = K(x,(y * (K(u,w) \ z)) \ v5). [hyper(8090,a,9372,a),flip(a)]. 9395 K(x,(y * (z / K(u,w))) \ v5) = K(x,(y * (K(w,u) * z)) \ v5). [para(2389(a,1),9394(a,2,2,1,2))]. 9396 K(x,(y * (K(z,u) * w)) \ v5) = K(x,(y * (w * K(z,u))) \ v5). [para(2426(a,1),9395(a,1,2,1,2)),flip(a)]. 9397 R(K(x,T(y,K(z,u) * w)),K(v5,v6),v7) = K(x,L(T(y,w),v8,K(v9,v10))). [hyper(62,a,9030,a,b,9365,a)]. 9398 K(x,((y * (z / y)) * u) \ w) = K(x,K(z,y) * ((z * u) \ w)). [para(2214(a,1),9383(a,2,2,1))]. 9399 K(x,((y * (z / y)) * u) \ w) = K(x,(T(z,y) * u) \ w). [hyper(262,a,9382,a(flip),b,9398,a),flip(a)]. 9400 K(x,K(y,(z * (u / z)) * w)) * K(x,(T(u,z) * w) \ y) = K(x,y / ((z * (u / z)) * w)). [para(9399(a,1),4296(a,1,2))]. 9401 R(T(K(x,y),K(z,u) * w),K(v5,v6),v7) = K(x,L(T(y,w),v8,K(v9,v10))). [para(3399(a,1),9397(a,1,1))]. 9402 R(T(K(x,y),K(z,u) * w),K(v5,v6),v7) = L(K(x,T(y,w)),v8,K(v9,v10)). [hyper(262,a,6039,a,b,9401,a),flip(a)]. 9403 R(T(K(x,y),K(z,u) * w),K(v5,v6),v7) = L(T(K(x,y),w),v8,K(v9,v10)). [para(3399(a,1),9402(a,2,1))]. 9404 R(T(K(x,y),K(z,u) * w),K(v5,v6),v7) = (K(v8,v9) * w) \ (K(v8,v9) * (K(x,y) * w)). [hyper(262,a,176,a,b,9403,a),flip(a)]. 9406 (x * y) \ ((x * (y * K(z,u))) * K(w,v5)) = K(z,L(u,y,x)) * K(w,v5). [hyper(108,a,9360,a)]. 9408 K(x,y) * (L(T(y,x),K(z,u),w) * (K(z,u) * w)) = (y * K(z,u)) * w. [para(25(a,2),9363(a,1,2,1))]. 9410 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(8965,a,9379,a),flip(a)]. 9411 K(x,K(y,z) * (u \ (w * T(v5,w)))) = K(x,u \ (v5 * (w * K(y,z)))). [hyper(62,a,9296,a(flip),b,9410,a),flip(a)]. 9412 K(x,y \ (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y \ (z * u))). [para(98(a,1),9411(a,1,2,2,2)),flip(a)]. 9413 K(x,K(y,T(z,u)) * (w \ (v5 * u))) = K(x,w \ (v5 * (K(y,z) * u))). [para(3398(a,1),9412(a,1,2,2,2)),flip(a)]. 9414 K(x,y \ (z * (K(u,w) * v5))) = K(x,K(w,u) * (y \ (z * v5))). [hyper(62,a,8367,a(flip),b,9413,a),flip(a)]. 9416 (x * K(y,z)) \ (x * K(u,w)) = K(z,L(y,K(y,z),x)) * K(u,w). [para(2326(a,1),9406(a,1,2,1))]. 9418 (x * K(y,z)) \ (x * K(u,w)) = K(z,y) * K(u,w). [para(3138(a,1),9416(a,2,1,2))]. 9419 (x * K(y,z)) * (K(z,y) * K(u,w)) = x * K(u,w). [hyper(119,a,9418,a)]. 9422 (x * K(y,z)) * (K(u,w) * K(z,y)) = x * K(u,w). [para(7987(a,1),9419(a,1,2))]. 9424 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(2427(a,1),9422(a,1,1)),flip(a)]. 9428 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (K(a(u,w,v5),v6) * K(y,z)). [para(6492(a,2),9424(a,1,2))]. 9429 (x * K(y,z)) * a(u,w,K(v5,v6)) = x * (a(u,w,K(v5,v6)) * K(y,z)). [para(6492(a,2),9428(a,2,2,1))]. 9430 x \ (y * (z * (a(u,w,K(v5,y)) * K(v6,v7)))) = x \ (L(y,w,K(u,v5)) * (z * K(v6,v7))). [para(9429(a,1),9135(a,1,2,2))]. 9431 K(x,y) * ((T(y,x) * K(z,u)) * w) = (y * K(z,u)) * w. [para(9032(a,1),9408(a,1,2))]. 9432 T(x,y) \ ((T(x,y) * K(z,u)) * w) = x \ ((x * K(z,u)) * w). [hyper(104,a,9431,a(flip),b,2451,a),flip(a)]. 9435 K(x,(y * z) \ ((y / T(u,T(y,w))) * z)) = K(u,L(T(x,y * z),y,z)). [hyper(262,a,7704,a(flip),b,9390,a),flip(a)]. 9436 K(x,(y * z) \ (T(u \ y,K(y,w)) * z)) = K(u,L(T(x,y * z),y,z)). [para(8124(a,1),9435(a,1,2,2,1))]. 9437 K(x,(y * z) \ ((u \ y) * z)) = K(u,L(T(x,y * z),y,z)). [hyper(62,a,8778,a(flip),b,9436,a)]. 9439 K(x,L(T(y,z * (z \ u)),z,z \ u)) = K(y,u \ ((x \ z) * (z \ u))). [para(10(a,1),9437(a,1,2,1)),flip(a)]. 9440 K(x,y \ ((z \ u) * (u \ y))) = K(z,L(T(x,y),u,u \ y)). [para(10(a,1),9439(a,1,2,1,2)),flip(a)]. 9441 K(T(x,y \ 1),L(T(z,u),y,y \ u)) = K(z,u \ ((y / x) * (y \ u))). [para(1233(a,1),9440(a,1,2,2,1)),flip(a)]. 9442 K(x,T(L(T(y,z),u,u \ z),u \ 1)) = K(y,z \ ((u / x) * (u \ z))). [hyper(3539,a,9441,a)]. 9443 K(x,L(T(T(y,z),u \ 1),u,u \ z)) = K(y,z \ ((u / x) * (u \ z))). [para(25(a,2),9442(a,1,2))]. 9444 K(x,L(T(T(y,z),u),u,u \ z)) = K(y,z \ ((u / x) * (u \ z))). [hyper(4315,a,9443,a)]. 9445 K(x,L(T(T(y,z),u),u * x,(u * x) \ z)) = K(y,z \ (((u * x) / x) * ((u * x) \ z))). [hyper(62,a,3618,a(flip),b,9444,a)]. 9446 K(x,L(T(T(y,z),u \ 1),u \ K(w,K(v5,v6)),(u \ K(w,K(v5,v6))) \ z)) = K(y,z \ (((u \ K(w,K(v5,v6))) / x) * ((u \ K(w,K(v5,v6))) \ z))). [para(8088(a,1),9444(a,1,2,1))]. 9447 a(x,K(y,z) * u,K(w,L(v5,K(y,z),u))) = a(w,(x * K(y,z)) * u,K(v5,x)). [hyper(62,a,7353,a(flip),b,9364,a)]. 9449 K(x,K(y,L(z,u,w)) * (T(w * u,x) \ v5)) = K(x,(w * (u * K(z,y))) \ v5). [para(6063(a,1),9381(a,1,2,1))]. 9450 K(x,L(y,(z * K(u,w)) * v5,z)) = K(x,L(y,K(u,w) * v5,z)). [hyper(9392,a,9393,a),flip(a)]. 9451 a(x,(y * K(z,u)) * w,K(v5,y)) = a(y,K(z,u) * w,K(x,v5)). [para(9350(a,1),9447(a,1,3)),flip(a)]. 9452 a(x,(y * K(z,u)) * w,K(y,v5)) = a(y,K(z,u) * w,K(v5,x)). [hyper(7221,a,9451,a)]. 9454 a(x,K(y,z) * u,K(w,v5)) = a(v5,u,K(x,w)). [hyper(62,a,9275,a(flip),b,9452,a),flip(a)]. 9458 a(x,L(T(y,z),u,w),K(v5,v6)) = a(v6,L(y,u,w),K(x,v5)). [para(2156(a,1),9454(a,1,2))]. 9459 a(x,y * K(z,u),K(w,v5)) = a(v5,y,K(x,w)). [para(3027(a,1),9454(a,1,2))]. 9460 a(x,K(y,z) * u,K(w,v5)) = a(x,u * K(v6,v7),K(w,v5)). [hyper(262,a,9454,a,b,9459,a)]. 9462 a(x,y \ K(z,u),K(w,v5)) = a(w,y \ 1,K(v5,x)). [para(7130(a,1),9459(a,1,2)),flip(a)]. 9463 K(x,T(y,z)) * ((z \ 1) * ((z \ K(x,y)) \ u)) = u * a(y,z \ 1,K(z * u,x)). [para(9462(a,1),9305(a,2,2))]. 9464 (x * ((K(y,z) * u) * K(w,v5))) * a(x,u * K(v6,v7),K(w,v5)) = (x * (K(y,z) * u)) * K(w,v5). [para(9460(a,1),79(a,1,2))]. 9465 K(x,L(y,K(z,u) * w,v5)) = K(x,y) * a(x,w * K(v6,v7),K(v5,y)). [para(9460(a,1),7049(a,1,2)),flip(a)]. 9466 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w * K(v6,v7),v5)). [hyper(262,a,7049,a(flip),b,9465,a),flip(a)]. 9467 K(x,L(y,K(z,u) * w,v5)) = K(x,L(y,w,v5)). [hyper(262,a,5986,a(flip),b,9466,a),flip(a)]. 9470 K(x,L(y,(z * K(u,w)) * v5,z)) = K(x,L(y,v5,z)). [hyper(62,a,9450,a,b,9467,a)]. 9477 K(x,L(y,(z \ K(u,K(w,v5))) \ v6,v7)) = K(x,L(y,(z \ 1) \ v6,v7)). [para(8881(a,1),9467(a,1,2,2)),flip(a)]. 9479 ((x * K(y,z)) * u) * K(w,L(T(v5,((x * K(y,z)) * u) * x),u,x)) = x * (K(w,v5) * ((x * K(z,y)) \ (x * u))). [para(9470(a,1),8170(a,1,2))]. 9480 K(x,K(y,L(z,u,w)) * ((w * u) \ v5)) = K(x,(w * (u * K(z,y))) \ v5). [hyper(62,a,4688,a(flip),b,9449,a)]. 9481 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(w,u) * ((y * z) \ v5)). [hyper(8965,a,9480,a),flip(a)]. 9482 K(x,(y * (K(z,u) * w)) \ v5) = K(x,K(u,z) * ((y * w) \ v5)). [hyper(62,a,9396,a,b,9481,a)]. 9483 K(x,K(y,z * u)) * K(x,K(w,v5) * ((z * u) \ y)) = K(x,y / (z * (K(v5,w) * u))). [para(9482(a,1),8288(a,1,2))]. 9484 K(x,K(y,z)) * K(x,(K(u,w) * z) / y) = K(x,K(u,w) * (y \ z)). [para(8244(a,1),9376(a,1,1))]. 9486 K(x,K(y,z)) * K(x,z * (y \ K(u,w))) = K(x,K(u,w) * (y \ z)). [para(9139(a,1),9484(a,1,2))]. 9487 K(x,K(y,z)) * K(x,K(u,w) * (y \ z)) = K(x,z * (y \ K(u,w))). [hyper(3864,a,9486,a)]. 9488 K(x,K(y,z)) * K(x,K(u,w) * (y \ z)) != v5 | K(x,z * (y \ K(u,w))) = v5. [para(9486(a,1),3865(a,1,2))]. 9489 K(x,K(y,z)) * K(x,K(u,w / v5) * (y \ z)) = K(x,z * (y \ K(v5 / w,u))). [para(2617(a,1),9487(a,1,2,2,1))]. 9490 K(x,K(y,z)) * K(y,K(u,w) * (x \ z)) = K(y,z * (x \ K(u,w))). [para(3830(a,1),9487(a,1,1))]. 9491 K(x,K(y,z)) * K(y,a(u,w,K(v5,v6)) * (x \ z)) = K(y,z * (x \ K(a(u,w,v5),v6))). [para(6492(a,2),9490(a,1,2,2,1))]. 9492 K(x,K(y,z)) * K(x,K(u,w) * (z \ y)) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(3843(a,1),9488(a,1,1))]. 9493 K(x,L(y,z,u \ (K(w,v5) * v6))) = K(x,L(y,z,K(w,v5) * (u \ v6))). [hyper(7053,a,9378,a),flip(a)]. 9494 K(x,L(y,z,(u / (w * K(v5,v6))) \ 1)) = K(x,L(y,z,K(v5,v6) * (u \ w))). [hyper(62,a,9105,a,b,9493,a)]. 9495 K(x,L(y,z,u \ (w * K(v5,v6)))) = K(x,L(y,z,K(v5,v6) * (u \ w))). [hyper(9249,a,9494,a)]. 9496 K(x,L(y,z,(u * K(w,v5)) * (K(v6,v7) * v8))) = K(x,L(y,z,K(w,v5) * ((v8 \ K(v7,v6)) \ u))). [hyper(62,a,9253,a(flip),b,9495,a)]. 9498 K(x,y \ (((y / z) / T(u,T(y / z,w))) * z)) = K(u,L(T(x,y),y,z)). [hyper(262,a,7729,a(flip),b,9389,a),flip(a)]. 9499 K(x,y \ (T(z \ (y / u),K(y / u,w)) * u)) = K(z,L(T(x,y),y,u)). [para(8124(a,1),9498(a,1,2,2,1))]. 9500 K(x,y \ ((z \ (y / u)) * u)) = K(z,L(T(x,y),y,u)). [hyper(62,a,8778,a(flip),b,9499,a)]. 9502 K(x,K(y,z)) * K(x,K(u,w \ v5) * (y \ z)) = K(x,z * (y \ K(v5 / w,u))). [para(8368(a,1),9489(a,1,2))]. 9503 K(x,y * (z \ K(u / w,v5))) = K(x,y * (z \ K(v5,w \ u))). [hyper(9488,a,9502,a),flip(a)]. 9504 K(x,y * ((z \ u) \ K(z,w \ v5))) = K(x,y / (T(z,w / v5) \ u)). [hyper(62,a,7398,a(flip),b,9503,a),flip(a)]. 9505 K(x,y / (T(z,u / w) \ v5)) = K(x,y / (T(z,u \ w) \ v5)). [hyper(62,a,7336,a(flip),b,9504,a),flip(a)]. 9506 (K(x,y) * K(z,u)) * w = K(z,u) * (K(x,y) * w). [hyper(858,a,9404,a)]. 9510 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (K(a(x,y,z),u) * v6). [para(6492(a,2),9506(a,1,1,1))]. 9511 (a(x,y,K(z,u)) * K(w,v5)) * v6 = K(w,v5) * (a(x,y,K(z,u)) * v6). [para(6492(a,2),9510(a,2,2,1))]. 9512 K(x,y) * (a(z,u,K(w,v5)) * K(a(z,u,K(w,v5)) * K(x,y),v6)) = T(a(z,u,K(w,v5)) * K(x,y),v6). [hyper(2101,a,9511,a),flip(a)]. 9514 (x * y) \ (L(x,z,K(u,w)) * (y * K(v5,v6))) = L(a(u,z,K(w,x)) * K(v5,v6),y,x). [hyper(411,a,9430,a),flip(a)]. 9515 L(a(x,y,K(z,u)) * K(x,z),y,u) = (u * y) \ ((u * y) * K(x,z)). [para(9117(a,1),9514(a,1,2)),flip(a)]. 9516 L(a(x,y,K(z,u)) * K(x,z),y,u) = K(x,z). [hyper(262,a,9,a(flip),b,9515,a),flip(a)]. 9518 L(K(x,L(y,z,u \ 1)),z,u) = K(x,y). [para(7264(a,1),9516(a,1,1))]. 9519 K(x,L(y \ (z * u),z \ y,z \ 1)) = K(x,(z \ y) \ u). [hyper(6117,a,9518,a),flip(a)]. 9520 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [hyper(6102,a,9518,a),flip(a)]. 9521 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(62,a,7543,a(flip),b,9520,a)]. 9522 K(x,y \ (L(z \ 1,z,y) * u)) = K(x,y \ (z \ u)). [hyper(62,a,7541,a(flip),b,9520,a)]. 9523 K(x,L(y \ z,u,(y / u) \ 1)) = K(x,u \ ((y / u) \ z)). [para(12(a,1),9520(a,1,2,1,1))]. 9524 K(x,L(T(y,z * u),u,z \ 1)) = K(x,u \ (z \ (y * (z * u)))). [para(22(a,2),9520(a,1,2,1))]. 9525 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). [hyper(62,a,7400,a(flip),b,9519,a)]. 9526 K(x,K(y,(z \ u) \ w) * v5) != v6 | K(x,K(y,u \ (z * w)) * v5) = v6. [para(9519(a,1),8965(a,1,2,1))]. 9527 K(x,((y \ 1) * z) \ ((y \ 1) * (y * u))) = K(x,(y \ z) \ u). [para(90(a,1),9525(a,1,2))]. 9528 K(x,L(T(y,z * u),y \ (z * u),z \ 1)) = K(x,(z \ (y \ (z * u))) \ u). [para(634(a,2),9525(a,1,2,1))]. 9529 K(x,y \ (z \ ((z \ 1) \ u))) = K(x,L(y,z,z \ 1) \ u). [para(10(a,1),9521(a,1,2,2)),flip(a)]. 9530 K(x,L(y \ z,u,y \ u)) = K(x,u \ ((y / u) \ z)). [hyper(9249,a,9523,a)]. 9531 K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). [hyper(62,a,7450,a(flip),b,9530,a),flip(a)]. 9532 K(x,y \ ((z / y) \ u)) != w | K(u \ z,L(x,y,z \ y)) = w. [para(9530(a,1),6066(a,1))]. 9533 K(x \ a(y,z,K(u,w)),v5 \ ((v5 / v6) * v7)) = K(x,((v6 / v5) \ v7) \ v5). [hyper(62,a,8919,a(flip),b,9531,a),flip(a)]. 9534 K(x,y \ L(z \ ((z \ 1) \ u),w,v5)) = K(x,L(y,z,z \ 1) \ L(u,w,v5)). [para(1363(a,2),9529(a,1,2,2))]. 9535 K(x,K(y \ ((y \ 1) \ z),u)) * K(x,L(u,y,y \ 1) \ z) = K(x,(y \ ((y \ 1) \ z)) / u). [para(9529(a,1),4296(a,1,2))]. 9536 (x \ 1) * (x * (y * K(z,L(y,x,x \ 1) \ (u \ L(y,x,x \ 1))))) = K(u,z) * ((x \ 1) * (x * y)). [para(9529(a,1),6370(a,1,2,2,2))]. 9537 K(x,((y \ 1) * z) \ L(u,y,y \ 1)) = K(x,(y \ z) \ u). [para(537(a,1),9527(a,1,2,2))]. 9538 K(x,((y \ x) * z) \ L(u,y,y \ 1)) = K(x,(y \ z) \ u). [hyper(62,a,8431,a(flip),b,9537,a)]. 9539 K(x,((y \ 1) * (y * z)) \ L(u,y,y \ 1)) = K(x,z \ u). [para(9(a,1),9537(a,2,2,1))]. 9540 K(x,(y \ ((y \ 1) \ z)) \ u) = K(x,z \ L(u,y,y \ 1)). [para(10(a,1),9537(a,1,2,1)),flip(a)]. 9541 K(x,L(y,z,z \ x) \ L(u,z,z \ 1)) = K(x,(z \ (z * y)) \ u). [hyper(62,a,5745,a(flip),b,9538,a)]. 9542 K(x,L(y,z,z \ 1) \ L(u,z,z \ 1)) = K(x,y \ u). [para(537(a,1),9539(a,1,2,1))]. 9543 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [para(1301(a,1),9542(a,1,2,1))]. 9544 K(x,y \ L(z \ 1,u,u \ 1)) != w | K(z * (u \ ((u \ 1) \ y)),x) = w. [para(9540(a,1),7138(a,1))]. 9545 K(x,L(y,z,z \ x) \ L(u,z,z \ 1)) = K(x,y \ u). [para(9(a,1),9541(a,2,2,1))]. 9546 K(x,L(T(y,z * u),z * u,z \ 1)) = K(x,(z \ (y \ (z * u))) \ u). [hyper(62,a,6122,a(flip),b,9528,a)]. 9547 K(x,L(T(y,z * u),u,z \ 1)) = K(x,(z \ (y \ (z * u))) \ u). [hyper(7414,a,9546,a)]. 9548 K(x,(y \ (z \ (y * u))) \ u) = K(x,u \ (y \ (z * (y * u)))). [hyper(62,a,9524,a(flip),b,9547,a),flip(a)]. 9549 x * K(y,x \ (z \ (u * (z * x)))) = z \ (K(y,u) * (z * x)). [para(9548(a,1),6167(a,1,2))]. 9550 K(x,y \ (z \ (u \ (z * y)))) = K(u,y \ (z \ (x * (z * y)))). [hyper(33,a,6163,a,b,9549,a)]. 9551 x \ (K(y,R(z,x,u)) * (x * u)) = u * K(y,u \ (x \ ((z * x) * u))). [para(94(a,1),9549(a,1,2,2,2,2)),flip(a)]. 9552 K(x,K(y \ (z \ (u * (z * y))),w) * v5) = K(x,K(u,y \ (z \ (w \ (z * y)))) * v5). [para(9550(a,2),7805(a,1,2,1)),flip(a)]. 9553 x \ (K(y,L(z,x,u)) * (x * u)) = u * K(y,u \ (x \ ((z * x) * u))). [para(7649(a,1),9551(a,1,2,1))]. 9554 x * K(y,x \ (z \ ((u * z) * x))) = z \ ((K(y,u) * z) * x). [para(7660(a,1),9553(a,1,2)),flip(a)]. 9555 x \ ((K(y * ((y \ 1) / z),u) * x) * w) = w * K(z,w \ (x \ ((u \ x) * w))). [para(9212(a,1),9554(a,1,2)),flip(a)]. 9556 K(x,L((y \ x) * z,u,u \ 1) \ L(w,y,y \ 1)) = K(x,(y \ z) \ (u \ ((u \ 1) \ w))). [hyper(62,a,9538,a(flip),b,9534,a),flip(a)]. 9557 x * K(y,x \ (z \ ((u \ z) * x))) = z \ ((K(u,y) * z) * x). [para(7140(a,1),9555(a,1,2,1,1)),flip(a)]. 9558 K(x,y / (z * (K(u,w) * v5))) != v6 | K(x,y * ((z * v5) \ K(w,u))) = v6. [para(9483(a,1),9492(a,1))]. 9559 K(x,y * (z \ K(a(u,w,v5),v6))) = K(z,K(x,y)) * K(x,z \ y). [para(8909(a,1),9491(a,1,2)),flip(a)]. 9560 K(x,y * (z \ a(u,w,K(v5,v6)))) = K(z,K(x,y)) * K(x,z \ y). [para(6492(a,2),9559(a,1,2,2,2))]. 9562 K(x,y * (z \ a(u,w,K(v5,v6)))) = K(x,y / z). [hyper(262,a,4295,a(flip),b,9560,a),flip(a)]. 9563 K(x \ y,(y * z) / x) = K(y * (x \ a(u,w,K(v5,v6))),z). [hyper(62,a,9171,a(flip),b,9562,a),flip(a)]. 9564 K(x * (y \ a(z,u,K(w,v5))),v6) = K(v7 * ((v7 \ 1) / v6),x / y). [hyper(62,a,7140,a(flip),b,9562,a)]. 9566 K(x * (y \ a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(262,a,7140,a(flip),b,9564,a),flip(a)]. 9567 K(x * (y \ a(z,u,K(w,v5))),v6) = K(v6,y / x). [hyper(262,a,2617,a(flip),b,9566,a),flip(a)]. 9568 K(x \ y,(y * z) / x) = K(z,x / y). [hyper(62,a,9563,a,b,9567,a)]. 9569 K(x,(y * z) / u) * a(x,w,K(z,u / y)) = K(x,L((y * z) / u,w,u \ y)). [para(9568(a,1),7049(a,1,2,3))]. 9570 K(x,L((y * z) / u,u,u \ y)) = K(x,y / (u / z)). [hyper(62,a,7737,a(flip),b,9569,a),flip(a)]. 9571 K(x,(y * z) / u) * a(x,w,K(z,y \ u)) = K(x,L((y * z) / u,w,u \ y)). [para(9056(a,1),9569(a,1,2))]. 9572 a(x \ y,z,K(u,w)) * K(u,(x * w) / y) = K(u,L((x * w) / y,z,y \ x)). [hyper(8857,a,9571,a)]. 9573 K(x,K(y,(z \ (u * (z * w))) \ w) * v5) = K(x,K(u,w \ (z \ (y \ (z * w)))) * v5). [hyper(62,a,7818,a(flip),b,9552,a)]. 9574 K(x,K(y,(z * (u * w)) \ (u * w)) * v5) = K(x,K(z,w \ (u \ (y \ (u * w)))) * v5). [hyper(9526,a,9573,a)]. 9575 K(x,K(y,z \ (u \ (w \ (u * z)))) * v5) = K(x,K(y,T(w,u * z)) * v5). [para(3502(a,1),9574(a,1,2,1)),flip(a)]. 9576 K(x,K(y,z \ (u \ (w \ (u * z)))) * v5) = K(x,K(w,y) * v5). [hyper(262,a,8367,a(flip),b,9575,a),flip(a)]. 9578 K(x,K(y,z \ (u \ (w * (u * z)))) * v5) = K(x,K(y,w) * v5). [para(9550(a,1),9576(a,1,2,1))]. 9579 K(x,L(T(T(y,z),u),u * x,u \ z)) = K(y,z \ (((u * x) / x) * ((u * x) \ z))). [hyper(9239,a,9445,a)]. 9580 K(x,L(T(T(y,z),u),u,u \ z)) = K(y,z \ (((u * x) / x) * ((u * x) \ z))). [hyper(6098,a,9579,a)]. 9581 K(x,y \ (((z * u) / u) * ((z * u) \ y))) = K(x,y \ ((z / u) * (z \ y))). [hyper(62,a,9444,a(flip),b,9580,a),flip(a)]. 9582 K(x,y \ ((z / u) * (z \ y))) = K(x,y \ (z * ((z * u) \ y))). [para(11(a,1),9581(a,1,2,2,1)),flip(a)]. 9583 K(x,y \ ((z / (z \ u)) * (z \ y))) = K(x,y \ (z * (u \ y))). [para(10(a,1),9582(a,2,2,2,2,1))]. 9584 K(x,y \ (((z / u) \ u) * (u \ y))) = K(x,y \ (u * (z \ y))). [para(650(a,1),9583(a,1,2,2,1))]. 9585 K(x / y,L(T(z,u),y,y \ u)) = K(z,u \ (y * (x \ u))). [hyper(62,a,9440,a(flip),b,9584,a)]. 9586 K(x,y \ (((z / (y / u)) \ (y / u)) * u)) = K(x,y \ ((y / u) * (z \ y))). [para(77(a,1),9584(a,1,2,2,2))]. 9587 K(x / (y * z),L(T(u,y),y * z,z \ 1)) = K(u,y \ ((y * z) * (x \ y))). [hyper(62,a,7375,a(flip),b,9585,a)]. 9588 K(x / (y / z),L(T(u,y),y,z)) = K(u,y \ ((y / z) * (x \ y))). [hyper(62,a,9500,a(flip),b,9586,a)]. 9589 K(x,y \ ((y / z) * (u \ y))) = K(T(x,y),y / (u * z)). [hyper(7724,a,9588,a),flip(a)]. 9590 K(x,y \ ((y / z) * (u \ y))) = K(x,(u * z) \ y). [hyper(262,a,3430,a(flip),b,9589,a),flip(a)]. 9591 K(x,y \ ((y / z) * (u \ y))) != w | K(x,(u * z) \ y) = w. [para(9589(a,2),3550(a,1))]. 9592 K(x,(y * (z \ u)) \ u) = K(x,u \ (z * (y \ u))). [para(74(a,1),9590(a,1,2,2,1)),flip(a)]. 9593 K(x,((y / z) * u) \ y) = K(x,y \ ((y / u) * z)). [para(77(a,1),9590(a,1,2,2,2)),flip(a)]. 9594 K(x,y \ (L(z \ 1,z,y) * (u \ y))) = K(x,(u * (z * y)) \ y). [para(680(a,1),9592(a,1,2,1,2)),flip(a)]. 9595 K(x,K(y,z * u)) * K(x,y \ (z * (u \ y))) = K(x,y / (u * (z \ y))). [para(9592(a,1),8150(a,1,2))]. 9596 K(x,(y * (z * u)) \ u) = K(x,u \ (z \ (y \ u))). [hyper(62,a,9522,a(flip),b,9594,a),flip(a)]. 9597 K(x,K(y,z * u)) * K(x,y \ (u \ (z \ y))) = K(x,y / (z * (u * y))). [para(9596(a,1),5887(a,1,2))]. 9598 K(x,(y * (z \ u)) / u) = K(x,u / (z * (y \ u))). [hyper(62,a,8151,a(flip),b,9595,a)]. 9599 K(x,L(y / z,u,z \ u)) = K(x,u / (z * (y \ u))). [hyper(62,a,7689,a,b,9598,a)]. 9600 K(x,K(y,z * u)) * K(x,y \ ((u \ 1) * (z \ y))) = K(x,y / (z * ((u \ 1) \ y))). [hyper(62,a,7506,a,b,9598,a)]. 9601 K(x,y / (z * ((u \ 1) \ y))) != w | K(z * u,L(x,y,z \ y)) = w. [para(9598(a,1),7693(a,1))]. 9602 K(x / (y * z),L(T(u,y),y,z \ 1)) = K(u,y \ ((y * z) * (x \ y))). [hyper(7415,a,9587,a)]. 9603 K(x,y \ ((y * z) * (u \ y))) = K(T(x,y),y / (u / z)). [hyper(62,a,9196,a(flip),b,9602,a),flip(a)]. 9604 K(x,y \ ((y * z) * (u \ y))) = K(x,(u / z) \ y). [hyper(262,a,3430,a(flip),b,9603,a),flip(a)]. 9605 K(x \ a(y,z,K(u,w)),(v5 / v6) \ v7) = K(x,((v7 * v6) * (v5 \ v7)) \ v7). [hyper(62,a,8919,a(flip),b,9604,a),flip(a)]. 9606 K(x,(y / (z \ u)) \ z) = K(x,z \ (u * (y \ z))). [para(10(a,1),9604(a,1,2,2,1)),flip(a)]. 9607 K(x \ a(y,z,K(u,w)),(v5 / v6) \ v7) = K(x,v7 \ (v5 * ((v7 * v6) \ v7))). [hyper(262,a,9592,a(flip),b,9605,a),flip(a)]. 9608 K(x,y \ (z * ((y * u) \ y))) = K(x,y \ (z / u)). [hyper(62,a,8919,a(flip),b,9607,a),flip(a)]. 9609 K(x,((y * z) * u) \ y) = K(x,y \ ((y / u) / z)). [hyper(9591,a,9608,a)]. 9610 K(x,K(y,T(z,u) * w)) * K(x,(T(z,u) * w) \ y) = K(x,y / ((u * (z / u)) * w)). [para(7820(a,1),9400(a,1,1,2))]. 9611 K(x,y / ((z * (u / z)) * w)) = K(x,y / (T(u,z) * w)). [hyper(4305,a,9610,a),flip(a)]. 9612 K(x,y / (z * (K(u,z) * w))) = K(x,y / (T(z,u) * w)). [para(2494(a,1),9611(a,1,2,2))]. 9613 K(x,y * ((z * u) \ K(z,w))) = K(x,y / (T(z,w) * u)). [hyper(9558,a,9612,a)]. 9614 K(x,y * ((z * T(u,T(z,w))) \ K(z,w))) = K(x,y / (u * T(z,w))). [para(98(a,1),9613(a,2,2,2))]. 9615 K(x,y * (T(z * u,K(u,w)) \ K(u,w))) = K(x,y / (z * T(u,w))). [para(3178(a,2),9614(a,1,2,2,1))]. 9616 K(x,y * ((z * u) \ K(u,w))) = K(x,y / (z * T(u,w))). [hyper(62,a,8110,a(flip),b,9615,a)]. 9617 K(x,y / (z * T(u,w \ u))) = K(x,y / (z * T(u,w))). [hyper(62,a,8157,a,b,9616,a)]. 9619 K(x,(y * z) / (u / K(w,z))) = (x \ 1) / (x \ K(x,u / (y * T(z,w)))). [para(9617(a,1),9302(a,1,2,2)),flip(a)]. 9620 K(x,(y * z) / (u / K(w,z))) = K(u / (y * T(z,w)),x). [hyper(262,a,2424,a(flip),b,9619,a),flip(a)]. 9621 K(x,(y * z) / (u / K(w,z))) = K(x,(y * T(z,w)) / u). [hyper(262,a,2617,a(flip),b,9620,a),flip(a)]. 9622 K(x,(y * z) / (u * K(z,w))) = K(x,(y * T(z,w)) / u). [para(2426(a,1),9621(a,1,2,2))]. 9623 K(x,(y * z) * (u \ K(w,z))) = K(x,(y * T(z,w)) / u). [hyper(62,a,8156,a(flip),b,9622,a)]. 9624 K(x,K(y,z) * ((u * z) / w)) = K(x,(u * T(z,y)) / w). [hyper(62,a,9387,a,b,9623,a)]. 9625 K(x,T(y,z * u) \ (z * T(u,w))) = K(x,(z * T(u,w)) / y). [hyper(62,a,9391,a,b,9624,a)]. 9626 K(x,T(y,z * (u / w)) \ (z * (w \ u))) = K(x,(z * T(u / w,u)) / y). [para(642(a,1),9625(a,1,2,2,2))]. 9627 K(x,T(y,z * ((u / w) \ 1)) \ (z * ((w \ u) \ 1))) = K(x,(z * T((u / w) \ 1,w)) / y). [para(2510(a,1),9625(a,1,2,2,2))]. 9628 K(x,T(y,z * (u / w)) \ (z * (w \ u))) = K(x,(z * (w \ u)) / y). [para(642(a,1),9626(a,2,2,1,2))]. 9629 K(x,L(y,z,K(u,w) * ((v5 \ K(v6,v7)) \ v8))) = K(x,L(y,z,K(u,w) * (v8 * (K(v7,v6) * v5)))). [hyper(9008,a,9496,a),flip(a)]. 9630 K(x,L((y \ x) * z,u,u \ 1) \ L(w,y,y \ 1)) = K(x,L(y \ z,u,u \ 1) \ w). [hyper(262,a,9529,a(flip),b,9556,a),flip(a)]. 9631 K(x,K(L(y \ z,u,u \ 1),w)) * K(x,L((y \ x) * z,u,u \ 1) \ L(w,y,y \ 1)) = K(x,w / L(y \ z,u,u \ 1)). [para(9630(a,2),4297(a,1,2))]. 9632 K(x,T(y,z / (u / w)) \ (z * ((w \ u) \ 1))) = K(x,(z * T((u / w) \ 1,w)) / y). [para(7199(a,1),9627(a,1,2,1))]. 9633 K(x,L(y,z,K(u,w) * ((v5 \ K(u,w)) \ v6))) = K(x,L(y,z,v6 * v5)). [hyper(262,a,9006,a(flip),b,9629,a),flip(a)]. 9634 K(x,L(y,z,(u \ K(w,v5)) \ v6)) = K(x,L(y,z,v6 * u)). [hyper(9232,a,9633,a)]. 9636 (x * (K(y,z) * (u * K(w,v5)))) * a(x,u * K(v6,v7),K(w,v5)) = (x * (K(y,z) * u)) * K(w,v5). [para(8839(a,1),9464(a,1,1,2))]. 9637 K(x,K(y,z)) * K(x,L(z,u,u \ 1) \ y) = K(x,(u \ ((u \ 1) \ y)) / z). [para(7109(a,1),9535(a,1,1,2))]. 9638 K(x,(y \ ((y \ 1) \ z)) / u) = K(x,z / L(u,y,y \ 1)). [hyper(8645,a,9637,a),flip(a)]. 9640 K(x,(y \ ((y \ 1) \ z)) / u) != w | K(x,z / L(u,y,y \ 1)) = w. [para(9637(a,1),8645(a,1))]. 9641 K(x,y / L(x \ z,u,u \ 1)) = K(x,(u \ ((u \ 1) \ y)) / z). [hyper(5423,a,9638,a),flip(a)]. 9642 K(x,(y * (z \ 1)) / L(u,z,z \ 1)) = K(x,(z \ T(y,z \ 1)) / u). [para(22(a,2),9638(a,1,2,1,2)),flip(a)]. 9643 K(x,y / L(x \ z,u,u \ 1)) != w | K(x,y / L(z,u,u \ 1)) = w. [para(9641(a,2),9640(a,1))]. 9644 K(x,(y * (z \ 1)) / L(u,z,z \ 1)) = K(x,(y / z) / u). [para(1230(a,1),9642(a,2,2,1))]. 9645 L(x,y * K(z,u),K(w,v5)) * (K(v6,v7) * (y * K(w,v5))) = (x * (K(v6,v7) * y)) * K(w,v5). [hyper(62,a,9125,a(flip),b,9636,a)]. 9646 L(x,y,K(z,u)) * (K(w,v5) * (y * K(z,u))) = (x * (K(w,v5) * y)) * K(z,u). [para(145(a,1),9645(a,1,1,2))]. 9647 ((x * (K(y,z) * u)) * K(w,v5)) / (K(y,z) * (u * K(w,v5))) = L(x,u,K(w,v5)). [hyper(115,a,9646,a)]. 9648 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(62,a,9113,a(flip),b,9647,a)]. 9650 K(x,y) * ((K(y,x) * z) * u) = z * L(u,z,K(x,y)). [para(9648(a,1),2403(a,1,2)),flip(a)]. 9651 K(x,y) * (z * ((K(x,y) * z) \ u)) = z * L(z \ u,z,K(x,y)). [para(7759(a,1),9650(a,1,2))]. 9653 K(x,y) * (a(z,u,K(w,v5)) * K(K(x,y),v6)) = T(a(z,u,K(w,v5)) * K(x,y),v6). [para(8918(a,1),9512(a,1,2,2))]. 9654 K(x,y) * (a(z,u,K(w,v5)) * K(x,K(y,v6))) = T(a(z,u,K(w,v5)) * K(x,y),v6). [para(3801(a,1),9653(a,1,2,2))]. 9656 T(a(x,y,K(z,u)) * K(w,v5),v6) = K(w,T(v5,v6)) * a(x,y,K(z,u)). [hyper(7968,a,9654,a),flip(a)]. 9657 (x \ 1) * (x * (y * K(z,T(u,L(y,x,x \ 1))))) = K(z,u) * ((x \ 1) * (x * y)). [para(3427(a,1),9536(a,1,2,2,2))]. 9658 (x \ 1) * (x * (y * K(z,T(u,y)))) = K(z,u) * ((x \ 1) * (x * y)). [para(7196(a,1),9657(a,1,2,2,2,2))]. 9659 K(x,y) * ((z \ 1) * (z * u)) = (z \ 1) * (z * (K(x,y) * u)). [para(3398(a,1),9658(a,1,2,2)),flip(a)]. 9661 K(x,y) * ((z \ 1) * (z * u)) = L(K(x,y) * u,z,z \ 1). [hyper(262,a,537,a(flip),b,9659,a),flip(a)]. 9662 L(K(x,y) * z,u,u \ 1) = K(x,y) * L(z,u,u \ 1). [para(537(a,1),9661(a,1,2)),flip(a)]. 9663 (x * K(y,z)) * (u * K(w,T(v5,((x * K(y,z)) * u) * x))) = x * (K(w,v5) * ((x * K(z,y)) \ (x * u))). [hyper(62,a,9241,a(flip),b,9479,a)]. 9665 (x * K(y,z)) * (u * K(w,T(v5,u * ((x * K(y,z)) \ x)))) = x * (K(w,v5) * ((x * K(z,y)) \ (x * u))). [para(9013(a,1),9663(a,1,2))]. 9666 (x * K(y,z)) * (u * K(w,T(v5,u * K(z,y)))) = x * (K(w,v5) * ((x * K(z,y)) \ (x * u))). [para(2420(a,1),9665(a,1,2,2,2,2,2))]. 9668 (x * K(y,z)) * (u * K(w,T(v5,u))) = x * (K(w,v5) * ((x * K(z,y)) \ (x * u))). [para(8210(a,1),9666(a,1,2,2))]. 9669 x * (K(y,z) * ((x * K(u,w)) \ (x * v5))) = (x * K(w,u)) * (K(y,z) * v5). [hyper(62,a,3469,a(flip),b,9668,a),flip(a)]. 9671 x * (K(y,z) * (x \ ((x * K(u,w)) * v5))) = (x * K(u,w)) * (K(y,z) * v5). [para(7764(a,1),9669(a,1,2,2))]. 9672 x \ ((x * K(y,z)) * (K(u,w) * v5)) = K(u,w) * (x \ ((x * K(y,z)) * v5)). [hyper(108,a,9671,a)]. 9673 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). [hyper(7766,a,9672,a),flip(a)]. 9674 K(x,y) * (z \ ((z * K(y,x)) * u)) != w | L(u,K(x,y),z) = w. [para(9672(a,1),7766(a,1))]. 9675 L(x,K(y,z),T(u,w)) = K(y,z) * (u \ ((u * K(z,y)) * x)). [para(9432(a,1),9673(a,1,2)),flip(a)]. 9676 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(262,a,9673,a(flip),b,9675,a),flip(a)]. 9677 K(x,T(y,z)) * (z \ ((K(y,x) * z) * u)) != w | L(u,K(x,y),z) = w. [para(7772(a,2),9674(a,1))]. 9678 L(x,K(y,z),T(u,w)) != v5 | L(x,K(y,z),u) = v5. [para(9675(a,2),9674(a,1))]. 9679 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = K(y,K(z,u)) * ((x * w) / (K(y,K(z,u)) * ((x * w) / v5))). [para(8867(a,1),8939(a,2,2,2))]. 9680 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = K(y,K(z,u)) * (K(y,K(z,u)) * ((x * w) / ((x * w) / v5))). [para(9151(a,1),9679(a,2,2))]. 9681 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = K(y,K(z,u)) * (K(y,K(z,u)) * ((x * w) * (v5 / (x * w)))). [para(664(a,1),9680(a,2,2,2))]. 9682 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = K(y,K(z,u)) * (K(y,K(z,u)) * T(v5,(x * w) \ 1)). [para(1229(a,2),9681(a,2,2,2))]. 9683 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = K(y,K(z,u)) * T(K(y,K(z,u)) * v5,(x * w) \ 1). [para(8182(a,2),9682(a,2,2))]. 9684 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = K(y,K(z,u)) * T(K(y,K(z,u)) * v5,w \ (x \ 1)). [para(7372(a,1),9683(a,2,2))]. 9685 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = T(K(y,K(z,u)) * (K(y,K(z,u)) * v5),w \ (x \ 1)). [hyper(262,a,8182,a,b,9684,a),flip(a)]. 9686 (x * (K(y,K(z,u)) * w)) * (v5 / (x * (K(y,K(z,u)) * w))) = T(v5,w \ (x \ 1)). [para(3861(a,1),9685(a,2,1))]. 9687 (x * (K(y,K(z,u)) * w)) * (K(y,K(z,u)) * (v5 / (x * w))) = T(v5,w \ (x \ 1)). [para(9152(a,1),9686(a,1,2))]. 9688 (x * y) * (K(z,K(u,w)) * (K(z,K(u,w)) * (v5 / (x * y)))) = T(v5,y \ (x \ 1)). [hyper(8900,a,9687,a)]. 9689 (x * y) * (z / (x * y)) = T(z,y \ (x \ 1)). [para(2383(a,1),9688(a,1,2))]. 9690 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(1237,a,9689,a)]. 9691 K(x,T(y,z \ (u \ 1))) * a(x,(u * z) / y,K(z,u \ ((u * z) / y))) = K(x,u / (((u * z) / y) / z)). [para(9689(a,1),9082(a,1,1,2))]. 9692 T(x,y \ (z \ 1)) * (z * y) = (z * y) * x. [para(9690(a,1),1241(a,1,1))]. 9693 K(x,T(y,(z \ 1) * u)) * a(x,(z * u) / y,K(u,z \ ((z * u) / y))) = K(x,z / (((z * u) / y) / u)). [para(7913(a,1),9691(a,1,1))]. 9694 K(x,T(y,z \ u)) * a(x,(z * u) / y,K(u,z \ ((z * u) / y))) = K(x,z / (((z * u) / y) / u)). [para(7197(a,1),9693(a,1,1,2))]. 9695 K(x,T(y,z * u)) * a(x,(u * z) / y,K(z,u \ ((u * z) / y))) = K(x,u / (((u * z) / y) / z)). [para(7913(a,1),9694(a,1,1))]. 9696 K(x,T(y,z * u)) * a(x,(u * z) / y,K(z,u \ (y \ (u * z)))) = K(x,u / (((u * z) / y) / z)). [para(9274(a,1),9695(a,1,2))]. 9697 K(x,T(y,z * u)) * a(x,(u * z) / y,K(z,u \ (y \ u))) = K(x,u / (((u * z) / y) / z)). [para(9016(a,1),9696(a,1,2,3))]. 9698 K(x,T(y,z * u)) * a(x,(u * z) / y,K(y,T(z,u))) = K(x,u / (((u * z) / y) / z)). [para(3427(a,1),9697(a,1,2,3))]. 9699 K(x,T(y,z * u)) * a(x,(u * z) / y,K(y,z)) = K(x,u / (((u * z) / y) / z)). [para(9055(a,1),9698(a,1,2))]. 9700 K(x,T(y,z * u)) * a(x,y \ (u * z),K(y,z)) = K(x,u / (((u * z) / y) / z)). [para(5726(a,1),9699(a,1,2))]. 9702 K(x,T(y,z * u)) * a(z,u * z,K(x,y)) = K(x,u / (((u * z) / y) / z)). [para(7037(a,1),9700(a,1,2))]. 9703 K(x,T(y,z * u)) * a(z,u,K(x,y)) = K(x,u / (((u * z) / y) / z)). [para(7246(a,1),9702(a,1,2))]. 9704 T(a(x,y,K(z,u)) * K(z,u),x * y) = K(z,y / (((y * x) / u) / x)). [hyper(62,a,9656,a,b,9703,a)]. 9705 T(K(x,L(y,z,u \ 1)),u * z) = K(x,z / (((z * u) / y) / u)). [para(7343(a,1),9704(a,1,1))]. 9706 K(x,L(T(y,z * u),u,z \ 1)) = K(x,u / (((u * z) / y) / z)). [hyper(4312,a,9705,a)]. 9707 K(x,y / (((y * z) / u) / z)) = K(x,y \ (z \ (u * (z * y)))). [hyper(62,a,9524,a(flip),b,9706,a),flip(a)]. 9708 K(x,K(y \ z,u)) * K(x,L((y \ x) * z,w,w \ 1) \ L(u,y,y \ 1)) = K(x,u / L(y \ z,w,w \ 1)). [para(7058(a,1),9631(a,1,1,2))]. 9709 K(x,K(y,z \ u)) * K(x,L((u \ x) * z,w,w \ 1) \ L(y,u,u \ 1)) = K(x,y / L(u \ z,w,w \ 1)). [para(3003(a,1),9708(a,1,1,2))]. 9711 K(x,K(y,z * u)) * K(x,L((z \ x) * u,w,w \ 1) \ L(y,z,z \ 1)) = K(x,y / L(z \ u,w,w \ 1)). [para(8142(a,1),9709(a,1,1))]. 9712 K(x,K(y,z * u)) * K(x,L(z \ u,w,w \ 1) \ y) = K(x,y / L(z \ u,w,w \ 1)). [para(9630(a,1),9711(a,1,2))]. 9713 (K(K(x,y),z) * u) \ L(((u \ K(z,K(x,y))) \ 1) * w,v5,v6) = (u \ 1) * (L((u \ K(z,K(x,y))) \ w,v5,v6) * K(z,K(x,y))). [para(7163(a,1),8899(a,1,1))]. 9714 (K(x,K(y,z)) * u) \ L(((u \ K(x,K(y,z))) \ 1) * w,v5,v6) = (u \ 1) * (L((u \ K(x,K(y,z))) \ w,v5,v6) * K(x,K(y,z))). [para(3842(a,1),9713(a,1,1,1))]. 9715 (x \ 1) * (L((x \ K(y,K(z,u))) \ w,v5,v6) * K(y,K(z,u))) = (K(y,K(z,u)) * x) \ L((K(K(z,u),y) * x) * w,v5,v6). [para(7163(a,1),9714(a,1,2,1,1)),flip(a)]. 9716 (x \ 1) * (L((x \ K(y,K(z,u))) \ w,v5,v6) * K(y,K(z,u))) = (K(y,K(z,u)) * x) \ L((K(y,K(z,u)) * x) * w,v5,v6). [para(3842(a,1),9715(a,2,2,1,1,1))]. 9717 (x \ 1) * (L((x \ K(y,K(z,u))) \ w,v5,v6) * K(y,K(z,u))) = (K(y,K(z,u)) * x) \ L(x * (K(y,K(z,u)) * w),v5,v6). [para(8861(a,1),9716(a,2,2,1))]. 9718 (x \ 1) * (L((x \ K(y,K(z,u))) \ w,v5,v6) * K(y,K(z,u))) = K(y,K(z,u)) * (x \ L(x * (K(y,K(z,u)) * w),v5,v6)). [hyper(262,a,8879,a(flip),b,9717,a),flip(a)]. 9719 (x \ 1) * L(K(y,K(z,u)) * ((x \ K(y,K(z,u))) \ w),v5,v6) = K(y,K(z,u)) * (x \ L(x * (K(y,K(z,u)) * w),v5,v6)). [hyper(62,a,8978,a,b,9718,a)]. 9720 (x \ K(y,K(z,u))) * L((x \ K(y,K(z,u))) \ w,v5,v6) = K(y,K(z,u)) * (x \ L(x * (K(y,K(z,u)) * w),v5,v6)). [hyper(62,a,8895,a(flip),b,9718,a)]. 9721 K(x,K(y,z)) * (u \ L(u * (K(x,K(y,z)) * w),v5,v6)) = (u \ 1) * L((u \ 1) \ w,v5,v6). [para(8881(a,1),9719(a,1,2,1)),flip(a)]. 9722 K(x,K(y,z)) * (u \ L(u * (K(x,K(y,z)) * w),v5,v6)) = u \ L(u * w,v5,v6). [hyper(262,a,1126,a(flip),b,9721,a),flip(a)]. 9724 (x \ K(y,K(z,u))) * L((x \ K(y,K(z,u))) \ w,v5,v6) = x \ L(x * w,v5,v6). [hyper(62,a,9720,a,b,9722,a)]. 9726 x \ L(x * y,z,K(u,w)) = y * a((x \ K(v5,K(v6,v7))) \ y,z,K(u,w)). [hyper(62,a,9124,a(flip),b,9724,a),flip(a)]. 9727 x \ L(x * y,z,K(u,w)) = y * a(w,z,K(x * y,u)). [para(9267(a,1),9726(a,2,2))]. 9728 K(x,T(y,z)) * ((z \ 1) * ((z \ K(x,y)) \ u)) = z \ L(z * u,z \ 1,K(x,y)). [hyper(262,a,9463,a,b,9727,a)]. 9730 K(x,L(T(T(y,z),u \ 1),u \ K(w,K(v5,v6)),z * u)) = K(y,z \ (((u \ K(w,K(v5,v6))) / x) * ((u \ K(w,K(v5,v6))) \ z))). [hyper(62,a,9634,a(flip),b,9446,a)]. 9732 K(x,L(T(T(y,z),u \ 1),u \ 1,z * u)) = K(y,z \ (((u \ K(w,K(v5,v6))) / x) * ((u \ K(w,K(v5,v6))) \ z))). [para(9029(a,1),9730(a,1,2))]. 9733 K(x,L(T(T(y,z),u),u \ 1,z * u)) = K(y,z \ (((u \ K(w,K(v5,v6))) / x) * ((u \ K(w,K(v5,v6))) \ z))). [hyper(4315,a,9732,a)]. 9735 K(x,L(T(T(y,z),u),u \ 1,z * u)) = K(y,z \ ((u \ K(w,K(v5,v6))) * (((u \ K(w,K(v5,v6))) * x) \ z))). [hyper(262,a,9582,a(flip),b,9733,a),flip(a)]. 9736 K(x,L(T(T(y,z),u),u \ 1,z * u)) = K(y,z \ ((u \ 1) * (((u \ K(w,K(v5,v6))) * x) \ z))). [hyper(262,a,8954,a(flip),b,9735,a),flip(a)]. 9737 K(x,L(T(T(y,z),u),u \ 1,u * z)) = K(y,z \ ((u \ 1) * (((u \ K(w,K(v5,v6))) * x) \ z))). [hyper(9243,a,9736,a)]. 9739 K((x \ K(y,K(z,u))) \ w,L(T(T(v5,v6),x),x \ 1,x * v6)) = K(v5,v6 \ ((x \ 1) * (w \ v6))). [para(10(a,1),9737(a,2,2,2,2,1))]. 9740 K(K(K(x,y),z) * (u * w),L(T(T(v5,v6),u),u \ 1,u * v6)) = K(v5,v6 \ ((u \ 1) * (w \ v6))). [hyper(62,a,8930,a(flip),b,9739,a)]. 9741 K(x * y,L(T(T(z,u),x),x \ 1,x * u)) = K(z,u \ ((x \ 1) * (y \ u))). [hyper(8097,a,9740,a)]. 9742 K(x * y,L(T(z,u),y \ 1,y * u)) = K(z,u \ ((y \ 1) * (x \ u))). [hyper(3548,a,9741,a)]. 9743 K(x,L(T(T(y,z),u),u \ 1,u * z)) = K(y,z \ ((u \ 1) * ((u \ x) \ z))). [para(10(a,1),9741(a,1,1))]. 9744 K(L(x,y,y \ 1),L(T(z,u),(y * x) \ 1,(y * x) * u)) = K(z,u \ (((y * x) \ 1) * ((y \ 1) \ u))). [hyper(62,a,2536,a(flip),b,9742,a)]. 9745 K(x,L(T(y,z),(u * x) \ 1,(u * x) * z)) = K(y,z \ (((u * x) \ 1) * ((u \ 1) \ z))). [hyper(7275,a,9744,a)]. 9746 K(x,L(T(y,z),(u * x) \ 1,u * z)) = K(y,z \ (((u * x) \ 1) * ((u \ 1) \ z))). [hyper(9258,a,9745,a)]. 9748 K(x,y \ (((z * u) \ 1) * ((z \ 1) \ y))) = K(u,L(T(x,y),z \ 1,z * y)). [hyper(62,a,9080,a(flip),b,9746,a),flip(a)]. 9749 K(x,y \ ((T(z * u,K(u,w)) \ 1) * ((u \ 1) \ y))) = K(T(z,T(u,w)),L(T(x,y),u \ 1,u * y)). [para(3178(a,2),9748(a,1,2,2,1,1))]. 9750 K(x,y \ (T((z * u) \ 1,K(u,w)) * ((u \ 1) \ y))) = K(T(z,T(u,w)),L(T(x,y),u \ 1,u * y)). [para(2505(a,2),9749(a,1,2,2,1))]. 9751 K(T(x,T(y,z)),L(T(u,w),y \ 1,y * w)) = K(u,w \ (((x * y) \ 1) * ((y \ 1) \ w))). [hyper(62,a,8778,a(flip),b,9750,a),flip(a)]. 9752 K(x,T(L(T(y,z),u \ 1,u * z),T(u,w))) = K(y,z \ (((x * u) \ 1) * ((u \ 1) \ z))). [hyper(3539,a,9751,a)]. 9754 K(x,L(T(T(y,z),u),u \ 1,u * z)) = K(y,z \ (((x * u) \ 1) * ((u \ 1) \ z))). [para(1181(a,1),9752(a,1,2))]. 9755 K(x,y \ (((z * u) \ 1) * ((u \ 1) \ y))) = K(x,y \ ((u \ 1) * ((u \ z) \ y))). [hyper(62,a,9743,a(flip),b,9754,a),flip(a)]. 9756 ((x / ((y \ 1) \ x)) * K((z * y) * (x / ((y \ 1) \ x)),u)) * ((y \ 1) \ x) = x * K(u,x \ ((y \ 1) * ((y \ z) \ x))). [para(9755(a,1),7736(a,2,2))]. 9757 ((x \ 1) * K((y * x) * (z / ((x \ 1) \ z)),u)) * ((x \ 1) \ z) = z * K(u,z \ ((x \ 1) * ((x \ y) \ z))). [para(74(a,1),9756(a,1,1,1))]. 9758 ((x \ 1) * K((y * x) * (x \ 1),z)) * ((x \ 1) \ u) = u * K(z,u \ ((x \ 1) * ((x \ y) \ u))). [para(74(a,1),9757(a,1,1,2,1,2))]. 9761 ((x \ 1) * K(L(y,x,x \ 1),z)) * ((x \ 1) \ u) = u * K(z,u \ ((x \ 1) * ((x \ y) \ u))). [para(1300(a,1),9758(a,1,1,2,1))]. 9762 x * K(y,x \ ((z \ 1) * ((z \ u) \ x))) = ((z \ 1) * K(u,y)) * ((z \ 1) \ x). [para(7058(a,1),9761(a,1,1,2)),flip(a)]. 9764 x * K(y,x \ ((z \ 1) * ((z \ u) \ x))) = (z \ K(u,y)) * ((z \ 1) \ x). [para(7099(a,1),9762(a,2,1))]. 9765 x * K(y,x \ ((z \ 1) * ((z \ u) \ x))) = (z \ 1) * ((z \ K(y,u)) \ x). [hyper(262,a,9199,a(flip),b,9764,a),flip(a)]. 9766 L(T(K(x,y),K(K(y,z),x) * (u * w)),(u \ K(x,K(y,z))) \ w,u \ K(x,K(y,z))) = w \ ((u \ 1) * (K(x,T(y,z)) * ((u \ K(x,K(y,z))) \ w))). [para(8923(a,1),8956(a,1,1))]. 9767 L(T(K(x,y),z * u),(z \ K(x,K(y,w))) \ u,z \ K(x,K(y,w))) = u \ ((z \ 1) * (K(x,T(y,w)) * ((z \ K(x,K(y,w))) \ u))). [para(3757(a,1),9766(a,1,1))]. 9768 L(K(x,T(y,z * u)),(z \ K(x,K(y,w))) \ u,z \ K(x,K(y,w))) = u \ ((z \ 1) * (K(x,T(y,w)) * ((z \ K(x,K(y,w))) \ u))). [para(3399(a,2),9767(a,1,1))]. 9771 K(x,L(T(y,z * u),(z \ K(x,K(y,w))) \ u,z \ K(x,K(y,w)))) = u \ ((z \ 1) * (K(x,T(y,w)) * ((z \ K(x,K(y,w))) \ u))). [hyper(6094,a,9768,a)]. 9772 K(x,L(T(y,z * u),(z \ K(x,K(y,w))) \ u,z \ 1)) = u \ ((z \ 1) * (K(x,T(y,w)) * ((z \ K(x,K(y,w))) \ u))). [hyper(9254,a,9771,a)]. 9773 K(x,L(T(y,z * u),(z \ 1) \ u,z \ 1)) = u \ ((z \ 1) * (K(x,T(y,w)) * ((z \ K(x,K(y,w))) \ u))). [hyper(62,a,9477,a(flip),b,9772,a)]. 9775 x \ ((y \ 1) * (K(z,T(u,w)) * ((y \ K(z,K(u,w))) \ x))) = K(z,L(T(u,y * x),x,y \ 1)). [hyper(62,a,7347,a(flip),b,9773,a),flip(a)]. 9776 x \ ((y \ 1) * (K(z,T(u,w)) * ((y \ K(z,K(u,w))) \ x))) = K(z,x \ (y \ (u * (y * x)))). [hyper(262,a,9524,a(flip),b,9775,a),flip(a)]. 9777 x \ ((y \ 1) * (K(z,u) * ((y \ 1) \ x))) = K(z,x \ (y \ (u * (y * x)))). [para(8897(a,1),9776(a,1,2,2))]. 9778 K(x,L(T(y,z * (u \ 1)),z,u \ 1)) = K(x,z \ (u \ (y * (u * z)))). [hyper(8168,a,9777,a)]. 9779 K(x,L(T(y,z / u),z,u \ 1)) = K(x,z \ (u \ (y * (u * z)))). [para(7199(a,1),9778(a,1,2,1))]. 9780 K(x,L(T(y,z * u),z,u \ 1)) = K(x,z \ (u \ (y * (u * z)))). [hyper(62,a,8132,a(flip),b,9779,a)]. 9781 (x \ 1) * ((K(y,z) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7)) * K(u,K(w,v5))) = (K(u,K(w,v5)) * (x \ K(y,z))) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7). [para(8892(a,1),8898(a,2,1))]. 9782 (x \ 1) * ((K(y,z) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7)) * K(u,K(w,v5))) = (K(u,K(w,v5)) * (x \ K(y,z))) * L(K(z,y) * (K(K(w,v5),u) * x),v6,v7). [para(7184(a,1),9781(a,2,2,1))]. 9783 (x \ 1) * ((K(y,z) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7)) * K(u,K(w,v5))) = (K(u,K(w,v5)) * (x \ K(y,z))) * L(K(z,y) * (K(u,K(w,v5)) * x),v6,v7). [para(3842(a,1),9782(a,2,2,1,2,1))]. 9784 (x \ 1) * ((K(y,z) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7)) * K(u,K(w,v5))) = (x \ K(y,z)) * (K(u,K(w,v5)) * L(K(z,y) * (K(u,K(w,v5)) * x),v6,v7)). [hyper(262,a,8861,a(flip),b,9783,a),flip(a)]. 9785 (x \ 1) * ((K(y,z) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7)) * K(u,K(w,v5))) = (x \ K(y,z)) * L(K(u,K(w,v5)) * (K(z,y) * (K(u,K(w,v5)) * x)),v6,v7). [para(8977(a,2),9784(a,2,2))]. 9786 (x \ 1) * ((K(y,z) * L(K(z,y) / (x \ K(u,K(w,v5))),v6,v7)) * K(u,K(w,v5))) = (x \ K(y,z)) * L(K(z,y) * x,v6,v7). [para(8671(a,1),9785(a,2,2,1))]. 9787 (x \ 1) * ((K(y,z) * L(K(z,y) * (K(K(u,w),v5) * x),v6,v7)) * K(v5,K(u,w))) = (x \ K(y,z)) * L(K(z,y) * x,v6,v7). [para(7184(a,1),9786(a,1,2,1,2,1))]. 9789 (x \ 1) * ((K(y,z) * L(K(z,y) * (K(u,K(w,v5)) * x),v6,v7)) * K(u,K(w,v5))) = (x \ K(y,z)) * L(K(z,y) * x,v6,v7). [para(3842(a,1),9787(a,1,2,1,2,1,2,1))]. 9790 (x \ 1) * (K(y,z) * (K(u,K(w,v5)) * L(K(z,y) * (K(u,K(w,v5)) * x),v6,v7))) = (x \ K(y,z)) * L(K(z,y) * x,v6,v7). [para(8659(a,1),9789(a,1,2))]. 9791 (x \ 1) * (K(y,z) * L(K(u,K(w,v5)) * (K(z,y) * (K(u,K(w,v5)) * x)),v6,v7)) = (x \ K(y,z)) * L(K(z,y) * x,v6,v7). [para(8977(a,2),9790(a,1,2,2))]. 9792 (x \ 1) * (K(y,z) * L(K(z,y) * x,u,w)) = (x \ K(y,z)) * L(K(z,y) * x,u,w). [para(8671(a,1),9791(a,1,2,2,1))]. 9793 (x \ 1) * L(K(y,z) * (K(z,y) * x),u,u \ 1) = (x \ K(y,z)) * L(K(z,y) * x,u,u \ 1). [para(9662(a,2),9792(a,1,2))]. 9794 (x \ K(y,z)) * L(K(z,y) * x,u,u \ 1) = (x \ 1) * L(x,u,u \ 1). [para(2383(a,1),9793(a,1,2,1)),flip(a)]. 9795 (x \ K(y,z)) * L(K(z,y) * x,u,u \ 1) = x \ L(x,u,u \ 1). [hyper(262,a,1125,a(flip),b,9794,a),flip(a)]. 9796 (x \ K(y,z)) * L(K(z,y) * x,u,u \ 1) = a(x,u,u \ 1). [hyper(262,a,1303,a(flip),b,9795,a),flip(a)]. 9797 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(62,a,7548,a(flip),b,9796,a)]. 9799 a(K(x,y) * (z \ 1),u,u \ 1) = z * L(z \ 1,u,u \ 1). [hyper(262,a,1304,a,b,9797,a),flip(a)]. 9801 a(K(x,y) / z,u,u \ 1) = z * L(z \ 1,u,u \ 1). [para(7162(a,1),9799(a,1,1))]. 9802 a(x \ K(y,z),u,u \ 1) = x * L(x \ 1,u,u \ 1). [hyper(62,a,7395,a(flip),b,9801,a)]. 9803 a(x \ K(y,z),u,u \ 1) = a(x \ 1,u,u \ 1). [hyper(262,a,1304,a(flip),b,9802,a),flip(a)]. 9804 a((x \ T(y,z)) \ 1,u,u \ 1) = a((x \ y) \ 1,u,u \ 1). [hyper(62,a,7540,a,b,9803,a)]. 9805 a((T(x,y) \ z) \ 1,u,u \ 1) = a((x \ z) \ 1,u,u \ 1). [hyper(62,a,7495,a,b,9803,a)]. 9808 a((T(x,y) \ z) \ 1,u,u \ 1) \ T(z * L(z \ x,u,u \ 1),y) = T(x,y). [para(9804(a,1),7428(a,1,1))]. 9811 a((x \ y) \ 1,z,z \ 1) \ T(y * L(y \ x,z,z \ 1),u) = T(x,u). [para(9805(a,1),9808(a,1,1))]. 9812 T(x,y) \ (a((x \ z) \ 1,u,u \ 1) \ (z * L(z \ x,u,u \ 1))) = K(y,z * L(z \ x,u,u \ 1)). [para(9811(a,1),7127(a,1,1))]. 9814 K(x,y * L(y \ z,u,u \ 1)) = T(z,x) \ z. [para(7291(a,1),9812(a,1,2)),flip(a)]. 9815 K(x,y * L(y \ z,u,u \ 1)) = K(x,z). [hyper(262,a,2054,a,b,9814,a),flip(a)]. 9816 K(x,a(y \ 1,y,z \ u) \ u) = K(x,u). [hyper(62,a,9291,a,b,9815,a)]. 9817 K(x,y * L(z,u,u \ 1)) = K(x,y * z). [para(9(a,1),9815(a,1,2,2,1))]. 9819 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [hyper(62,a,9293,a(flip),b,9816,a)]. 9821 K(x,y * ((z \ 1) \ u)) = K(x,y * (z * u)). [para(541(a,1),9817(a,1,2,2)),flip(a)]. 9822 K(x,y * (z * (u \ 1))) = K(x,y * (z / u)). [para(1301(a,1),9817(a,1,2,2))]. 9823 K(x * (y \ ((y \ 1) \ z)),u) = K(u,z \ (x \ 1)). [hyper(9544,a,9819,a)]. 9825 K(x,L(y,z,z \ x) \ u) = K(x,y \ u). [hyper(62,a,9545,a(flip),b,9819,a),flip(a)]. 9826 K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). [hyper(62,a,9543,a(flip),b,9819,a),flip(a)]. 9827 K(x,L(y,z,z \ 1) \ u) = K(x,y \ u). [hyper(62,a,9542,a(flip),b,9819,a),flip(a)]. 9828 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [hyper(62,a,9537,a(flip),b,9819,a),flip(a)]. 9829 K(x,y \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [para(542(a,1),9819(a,1,2,2))]. 9830 K(x,y \ (z * (u \ 1))) = K(x,y \ (z / u)). [para(1301(a,1),9819(a,1,2,2))]. 9832 K(x,L(y,z,z \ 1) \ u) = K(x,L(y,w,w \ x) \ u). [hyper(262,a,9825,a,b,9827,a),flip(a)]. 9834 K(x,L((y \ 1) \ z,u,y * u)) = K(x,u \ ((u * y) * z)). [hyper(62,a,7544,a(flip),b,9827,a)]. 9836 K(x,y / L(z \ u,w,w \ 1)) = K(x,K(y,z * u)) * K(x,(z \ u) \ y). [para(9827(a,1),9712(a,1,2)),flip(a)]. 9837 T(x,y * ((z \ 1) \ u)) = x * K(x,y * (z * u)). [para(9821(a,1),2097(a,2,2))]. 9838 a(x,y,K(z,u * (w * v5))) * K(z,x) = K(z,L(x,y,u * ((w \ 1) \ v5))). [para(9821(a,1),7052(a,1,1,3))]. 9839 K(x,y * (z / (u \ 1))) = K(x,y * (z * u)). [para(231(a,1),9822(a,1,2,2,2)),flip(a)]. 9842 K(x,((y \ 1) * (z * u)) \ u) = K(x,u \ (z \ (y * u))). [hyper(262,a,9211,a(flip),b,9828,a),flip(a)]. 9844 K(x,y \ ((z * u) \ ((u \ 1) \ y))) = K(x,y \ ((u \ 1) * ((u \ z) \ y))). [hyper(62,a,9755,a(flip),b,9829,a),flip(a)]. 9845 K(x,K(y,z * u)) * K(x,y \ (u \ (z \ y))) = K(x,y / (z * ((u \ 1) \ y))). [para(9829(a,1),9600(a,1,2))]. 9846 K(x,T(y,z \ (u \ 1)) * (u * z)) = K(x,(u / (z \ 1)) * y). [hyper(62,a,7826,a(flip),b,9839,a),flip(a)]. 9847 K(x * (y \ ((y \ 1) \ z)),u) = K(x * z,u). [hyper(262,a,7111,a(flip),b,9823,a),flip(a)]. 9848 K(x * ((y \ 1) * z),u) = K(x * (y \ z),u). [para(9(a,1),9847(a,1,1,2,2)),flip(a)]. 9849 T(x,y * ((z \ 1) \ u)) = T(x,y * (z * u)). [hyper(262,a,2097,a,b,9837,a),flip(a)]. 9850 K(L(x,y,y \ 1) \ z,u) = (w * K(u,L(x,v5,v5 \ u) \ z)) \ w. [para(9832(a,1),2420(a,1,1,2)),flip(a)]. 9851 K(x,y \ (z \ ((u \ 1) \ y))) = K(x,y \ (z \ (u * y))). [hyper(62,a,9596,a(flip),b,9842,a)]. 9853 K(x,y \ ((y * z) * u)) != w | K(x,L(z * u,y,z * y)) = w. [para(9834(a,1),7330(a,1))]. 9854 K(x,(y / (z \ 1)) * u) = K(x,(y * z) * u). [para(9692(a,1),9846(a,1,2)),flip(a)]. 9855 K(L(x,y,y \ 1) \ z,u) = K(L(x,w,w \ u) \ z,u). [hyper(262,a,2420,a(flip),b,9850,a),flip(a)]. 9856 K(L(x,y,y \ 1) \ z,u) = K(u,z \ L(x,w,w \ u)). [hyper(262,a,3003,a(flip),b,9855,a),flip(a)]. 9857 K(x,y \ L(z,u,u \ 1)) = K(x,y \ L(z,w,w \ x)). [hyper(3008,a,9856,a)]. 9858 K(x,y \ L(z,u,u \ x)) = K(x,y \ z). [hyper(62,a,9819,a(flip),b,9857,a),flip(a)]. 9859 K(x,L(y,z,u * ((w \ 1) \ v5))) != v6 | K(x,L(y,z,u * (w * v5))) = v6. [para(9838(a,1),7053(a,1))]. 9860 K(x,y \ ((z * u) \ ((u \ 1) \ y))) = K(x,y \ (u \ ((u \ z) \ y))). [hyper(262,a,9829,a(flip),b,9844,a),flip(a)]. 9861 K(x,y \ ((z * u) \ (u * y))) = K(x,y \ (u \ ((u \ z) \ y))). [hyper(62,a,9851,a(flip),b,9860,a)]. 9862 K(x,y \ (z \ ((z \ u) \ y))) = K(x,y \ (z \ ((u \ z) * y))). [hyper(62,a,9214,a(flip),b,9861,a),flip(a)]. 9863 K(x,y \ ((z \ 1) * ((z \ u) \ y))) = K(x,y \ (z \ ((u \ z) * y))). [hyper(62,a,9829,a,b,9862,a)]. 9864 x * K(y,x \ (z \ ((u \ z) * x))) = (z \ 1) * ((z \ K(y,u)) \ x). [para(9863(a,1),9765(a,1,2))]. 9865 (x \ 1) * ((x \ K(y,z)) \ u) = x \ ((K(z,y) * x) * u). [hyper(62,a,9557,a(flip),b,9864,a),flip(a)]. 9866 K(x,T(y,z)) * (z \ ((K(y,x) * z) * u)) = z \ L(z * u,z \ 1,K(x,y)). [para(9865(a,1),9728(a,1,2))]. 9867 K(x,y / L(z \ u,w,w \ 1)) = K(x,y / (z \ u)). [hyper(262,a,8160,a(flip),b,9836,a),flip(a)]. 9869 K(x,y / L(z,u,u \ 1)) = K(x,y / (x \ z)). [hyper(9643,a,9867,a)]. 9870 K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). [para(542(a,1),9867(a,1,2,2))]. 9871 K(x,L(y * z,u,y \ u)) = K(x,u / (z \ (y \ u))). [hyper(62,a,7703,a,b,9870,a)]. 9872 K(x,y / L(z,u,u \ 1)) = K(x,y / z). [hyper(262,a,5404,a(flip),b,9869,a),flip(a)]. 9873 K(x,(y * (z \ 1)) / u) = K(x,(y / z) / u). [hyper(62,a,9644,a(flip),b,9872,a),flip(a)]. 9874 K(x,y / (z * (u \ 1))) = K(x,y / (z / u)). [para(1301(a,1),9872(a,1,2,2))]. 9876 K(x,y / ((z \ 1) / u)) = K(x,y / (z \ (u \ 1))). [hyper(62,a,9870,a(flip),b,9874,a),flip(a)]. 9877 K(x,y / ((z \ x) \ (u \ 1))) = K(x,y / (z / u)). [hyper(62,a,9181,a(flip),b,9876,a),flip(a)]. 9878 x \ L(x * y,x \ 1,K(z,u)) = L(y,K(z,u),x). [hyper(9677,a,9866,a),flip(a)]. 9879 x * a(y,z \ 1,K(z * x,u)) = L(x,K(u,y),z). [hyper(62,a,9727,a(flip),b,9878,a)]. 9880 x * L(x \ y,(x \ 1) \ 1,K(z,u)) = L(y,K(z,u),x \ 1). [hyper(62,a,1133,a(flip),b,9878,a)]. 9881 x * a(y,z \ 1,K(u,z * x)) = L(x,K(y,u),z). [hyper(8884,a,9879,a)]. 9882 x * a(y,x,K(z,u * x)) = L(x,K(y,z),u). [para(7367(a,1),9881(a,1,2))]. 9883 x * L(x \ y,x,K(z,u)) = L(y,K(z,u),x \ 1). [para(231(a,1),9880(a,1,2,2))]. 9884 K(x,y) * (z * ((K(x,y) * z) \ u)) = L(u,K(x,y),z \ 1). [hyper(62,a,9651,a,b,9883,a)]. 9885 a(x \ y,x,K(z,u)) * y = L(y,K(z,u),x \ 1). [hyper(8886,a,9884,a)]. 9886 x * a(y,z,K(u,z \ x)) = L(x,K(y,u),z \ 1). [hyper(62,a,7761,a(flip),b,9884,a)]. 9887 x * a(y,L(T(z \ 1,u),z,x),K(w,T(z,u) * x)) = L(x,K(y,w),L(T(z \ 1,u),z,x) \ 1). [para(8125(a,1),9886(a,1,2,3,2))]. 9888 K(x,y / (z * ((u \ 1) \ y))) = K(x,y / (z * (u * y))). [hyper(62,a,9597,a(flip),b,9845,a),flip(a)]. 9889 K(x * y,L(z,u,x \ u)) = K(z,u / (x * (y * u))). [hyper(9601,a,9888,a)]. 9890 L(x \ 1,y,K((z \ 1) \ y,y \ u)) / (x \ K(x,y / (u * (z * y)))) = K(x,u / (y / ((z \ 1) \ y))). [para(9888(a,1),9157(a,1,2,2))]. 9891 K(x \ 1,y / (z * (u * y))) = K(x,L(z * u,y,z \ y)). [hyper(6065,a,9889,a),flip(a)]. 9892 K(x * (y \ z),L(u,w,x \ w)) = K(u,w / (x * (((y \ 1) * z) * w))). [hyper(62,a,9848,a(flip),b,9889,a)]. 9893 K(((x \ 1) * y) * (z \ 1),L(u,w,(z \ K(z,x \ y)) \ w)) = K(u,w / ((z \ K(z,x \ y)) * (((x \ 1) * y) * w))). [para(7103(a,1),9889(a,1,1))]. 9894 K(x \ 1,y / (z * (u * y))) = K(x,y / (u \ (z \ y))). [hyper(262,a,9871,a(flip),b,9891,a),flip(a)]. 9895 K(x,y / (z \ (u \ y))) != w | K(x,(u * (z * y)) / y) = w. [para(9894(a,1),2633(a,1))]. 9896 K(x,y / (z * (((u \ 1) * w) * y))) = K(x,y / (z * ((u \ w) * y))). [hyper(62,a,9889,a(flip),b,9892,a),flip(a)]. 9897 x * a(y,L(T(z \ 1,u),z,x),K(z * x,w)) = L(x,K(w,y),L(T(z \ 1,u),z,x) \ 1). [para(9270(a,1),9887(a,1,2))]. 9899 L(x,K(y,z),L(T(u \ 1,w),u,x) \ 1) = x * a(y,L(u \ 1,u,x),K(z,u * x)). [para(9458(a,1),9897(a,1,2)),flip(a)]. 9900 L(x,K(y,z),L(T(u \ 1,w),u,x) \ 1) = x * a(y,x * 1,K(z,u * x)). [para(7546(a,1),9899(a,2,2))]. 9902 L(x,K(y,z),L(T(u \ 1,w),u,x) \ 1) = x * a(y,x,K(z,u * x)). [para(8(a,1),9900(a,2,2,2))]. 9903 L(x,K(y,z),L(T(u \ 1,w),u,x) \ 1) = L(x,K(y,z),u). [hyper(262,a,9882,a(flip),b,9902,a),flip(a)]. 9904 L(x,K(y,z),L(u \ 1,u,x) \ 1) = L(x,K(y,z),u). [para(97(a,1),9903(a,1,3,1,1))]. 9905 L(x,K(y,z),L(T(u \ 1,w),T(u,w),x) \ 1) = L(x,K(y,z),T(u,w)). [para(2505(a,2),9904(a,1,3,1,1))]. 9906 L(x,K(y,z),L(T(T(u \ 1,w),v5),T(T(u,w),v5),x) \ 1) = L(x,K(y,z),T(T(u,w),v5)). [para(2505(a,2),9905(a,1,3,1,1,1))]. 9907 L(x,K(y,z),T(L(T(u \ 1,w),T(T(u,w),v5),x) \ 1,v5)) = L(x,K(y,z),T(T(u,w),v5)). [para(2512(a,2),9906(a,1,3))]. 9908 L(x,K(y,z),T(T(L(u \ 1,T(T(u,w),v5),x) \ 1,w),v5)) = L(x,K(y,z),T(T(u,w),v5)). [para(2512(a,2),9907(a,1,3,1))]. 9909 L(x,K(y,z),T(L(u \ 1,T(T(u,w),v5),x) \ 1,w)) = L(x,K(y,z),T(T(u,w),v5)). [hyper(9678,a,9908,a)]. 9910 L(x,K(y,z),L(u \ 1,T(T(u,w),v5),x) \ 1) = L(x,K(y,z),T(T(u,w),v5)). [hyper(9678,a,9909,a)]. 9912 L(x,K(y,z),L(u \ 1,T(T(u,w),v5),x) \ 1) = L(x,K(y,z),T(u,w)). [hyper(262,a,9676,a(flip),b,9910,a),flip(a)]. 9915 L(x,K(y,z),L(u \ 1,T(T(u,w),v5),x) \ 1) != v6 | L(x,K(y,z),u) = v6. [para(9912(a,2),9678(a,1))]. 9916 L(x \ 1,y,K(z * y,y \ u)) / (x \ K(x,y / (u * (z * y)))) = K(x,u / (y / ((z \ 1) \ y))). [para(7071(a,1),9890(a,1,1,3))]. 9917 K(x,y / (z / ((u \ 1) \ z))) = K(x,y / (z / (u * z))). [hyper(9158,a,9916,a),flip(a)]. 9918 K(x,y / (z / ((u \ 1) \ z))) = K(x,y / ((z * u) \ z)). [para(651(a,1),9917(a,2,2,2))]. 9919 K(x,y / ((z * u) \ z)) = K(x,y / (u \ 1)). [para(74(a,1),9918(a,1,2,2)),flip(a)]. 9920 K(x,y / ((z * u) \ z)) = K(x,y * u). [hyper(262,a,7092,a(flip),b,9919,a),flip(a)]. 9922 K(x,y / (z \ u)) = K(x,y * (u \ z)). [para(10(a,1),9920(a,1,2,2,1))]. 9923 K(x,y / (z / u)) = K(x,y * (u / z)). [para(661(a,1),9920(a,1,2,2))]. 9924 K(x,(y * (z * u)) / u) = K(x,u * ((y \ u) \ z)). [hyper(9895,a,9922,a)]. 9925 K(x,K(y,z * u)) * K(y,(z \ u) * x) = K(y,x / (u \ z)). [hyper(262,a,8422,a,b,9922,a)]. 9926 K(x,y / ((z \ 1) * u)) = K(x,y * (u \ z)). [hyper(62,a,9870,a,b,9922,a)]. 9927 K(x,y * ((z \ 1) \ (u \ x))) = K(x,y / (u / z)). [hyper(62,a,9877,a(flip),b,9922,a),flip(a)]. 9928 K(x,y / (T(z,u \ w) \ v5)) = K(x,y * (v5 \ T(z,u / w))). [hyper(62,a,9505,a(flip),b,9922,a)]. 9929 K(x,y * (z \ L(u,w,K(v5,v6)))) = K(x,y / (u \ z)). [hyper(62,a,9204,a(flip),b,9922,a),flip(a)]. 9930 K(x,(y \ (z * u)) * (u \ (z \ y))) = a(y \ u,y,K(x,z)). [hyper(62,a,7545,a(flip),b,9922,a),flip(a)]. 9931 K(x,y / ((z \ x) \ u)) = K(x,y * (u \ (x / z))). [hyper(62,a,4358,a(flip),b,9922,a)]. 9932 K(x,L((y * z) / u,u,u \ y)) = K(x,y * (z / u)). [hyper(62,a,9570,a,b,9923,a)]. 9933 K(x,y \ (z \ (u * (z * y)))) = K(x,y * (z / ((y * z) / u))). [hyper(62,a,9707,a(flip),b,9923,a)]. 9934 x * K(x,y * (z / u)) = T(x,y / (u / z)). [para(9923(a,1),2097(a,2,2)),flip(a)]. 9936 K(x,y * (z \ (u \ 1))) = K(x,y / (u * z)). [hyper(62,a,4355,a(flip),b,9926,a),flip(a)]. 9937 T(x,y / (z / u)) = T(x,y * (u / z)). [hyper(2101,a,9934,a),flip(a)]. 9938 K(x,T(y,z * (u / w)) \ (z * ((u \ w) \ 1))) = K(x,(z * T((w / u) \ 1,u)) / y). [para(9937(a,1),9632(a,1,2,1))]. 9939 K(x,y * (z * (u \ x))) = K(x,y / (u / z)). [hyper(62,a,9821,a(flip),b,9927,a)]. 9940 K(x,y * (z * (u \ x))) = K(x,y * (z / u)). [hyper(262,a,9923,a(flip),b,9939,a),flip(a)]. 9941 K(x,y * (z \ (x / u))) = K(x,y * (z \ (u \ x))). [hyper(62,a,9922,a(flip),b,9931,a),flip(a)]. 9942 K(x,y * (z \ L(u,w,K(v5,v6)))) = K(x,y * (z \ u)). [hyper(262,a,9922,a(flip),b,9929,a),flip(a)]. 9943 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [hyper(8159,a,9925,a)]. 9944 K(x \ a(y,z,K(u,w)),v5 \ ((v5 / v6) * v7)) = K(x,(v7 \ (v6 / v5)) * v5). [hyper(62,a,9533,a,b,9943,a)]. 9945 K(x,((y * z) \ y) \ u) = K(x,z * u). [para(9(a,1),9943(a,2,2,1))]. 9946 a(x,y,K(z,(u \ w) * v5)) * K(z,x) = K(z,L(x,y,(w \ u) \ v5)). [para(9943(a,1),7052(a,1,1,3))]. 9947 K(x,(y / z) \ u) = K(x,(z / y) * u). [para(661(a,1),9945(a,1,2,1))]. 9948 K(x,(y / z) \ L(u \ w,u,u \ x)) = K(x,(z / y) * ((x / u) * w)). [hyper(262,a,6234,a(flip),b,9947,a),flip(a)]. 9949 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [hyper(62,a,9826,a,b,9947,a)]. 9950 K(x,y \ (z * (u \ y))) = K(x,((y \ z) / u) * y). [hyper(62,a,9606,a(flip),b,9947,a)]. 9952 K(x,y \ ((y / (z \ 1)) / u)) = K(x,(z / (y * u)) * y). [hyper(62,a,9609,a(flip),b,9949,a)]. 9954 K(x,((y \ z) / (y * u)) * y) = K(x,y \ (z / u)). [hyper(62,a,9608,a(flip),b,9950,a),flip(a)]. 9955 K(x,y * (z \ T(u,w / v5))) = K(x,y * (z \ T(u,w \ v5))). [hyper(62,a,9922,a(flip),b,9928,a),flip(a)]. 9956 K(x,L(T(y,z * u),z,u \ 1)) = K(x,z * (u / ((z * u) / y))). [hyper(62,a,9780,a,b,9933,a)]. 9957 x * K(y,x * (z / ((x * z) / u))) = z \ (K(y,u) * (z * x)). [para(9933(a,1),9549(a,1,2))]. 9958 (x \ 1) * (K(y,z) * ((x \ 1) \ u)) = u * K(y,u * (x / ((u * x) / z))). [para(9956(a,1),8201(a,1,2)),flip(a)]. 9959 K(x,L(y,z,(u \ w) \ v5)) != v6 | K(x,L(y,z,(w \ u) * v5)) = v6. [para(9946(a,1),7053(a,1))]. 9961 K(x,((y / z) * u) \ y) = K(x,(u \ (z / y)) * y). [hyper(62,a,8919,a(flip),b,9944,a)]. 9962 K(x,y \ ((y / z) * u)) = K(x,(z \ (u / y)) * y). [hyper(62,a,9593,a(flip),b,9961,a)]. 9963 K(x,y \ ((z / y) \ u)) = K(x,(z \ (u / y)) * y). [hyper(62,a,9531,a,b,9962,a)]. 9964 K(x,(y \ ((z \ 1) / u)) * u) = K(x,u \ ((u / y) / z)). [hyper(62,a,9830,a(flip),b,9962,a),flip(a)]. 9965 K(x \ y,L(z,u,y \ u)) = K(z,(y \ (x / u)) * u). [hyper(9532,a,9963,a)]. 9966 K(x / (y \ 1),L(z,u,T(x,y) \ u)) = K(z,(T(x,y) \ ((y \ 1) / u)) * u). [para(1236(a,1),9965(a,1,1))]. 9967 K(x,(y / z) * ((x / u) * w)) = K(x,(z / y) \ (u \ w)). [hyper(62,a,9858,a(flip),b,9948,a),flip(a)]. 9969 K(x,(y / z) * ((x / u) * w)) = K(x,(y / z) * (u \ w)). [hyper(262,a,9947,a(flip),b,9967,a),flip(a)]. 9970 K(x,(y / (z \ 1)) * (u \ w)) = K(x,(y * z) * ((x / u) * w)). [hyper(62,a,9854,a(flip),b,9969,a),flip(a)]. 9971 K(x,(y * z) * ((x / u) * w)) = K(x,(y * z) * (u \ w)). [hyper(62,a,9854,a(flip),b,9970,a),flip(a)]. 9972 K(x,(a(y,z,K(u,w)) * v5) * (v6 \ v7)) = K(x,v5 * ((x / v6) * v7)). [hyper(8964,a,9971,a),flip(a)]. 9973 K(x,y * ((x / z) * u)) = K(x,y * (z \ u)). [hyper(8964,a,9972,a),flip(a)]. 9974 K(x,y * ((x / z) * (u \ 1))) = K(x,y / (u * z)). [hyper(262,a,9936,a(flip),b,9973,a),flip(a)]. 9975 K(x,y * L(z,u,u \ x)) = K(x,y * (u \ (u * z))). [hyper(62,a,6235,a(flip),b,9973,a)]. 9976 K(x,y * (T(z,x) \ u)) = K(x,y * ((z \ x) * u)). [para(637(a,1),9973(a,1,2,2,1)),flip(a)]. 9977 K(x,y * ((x / z) / u)) = K(x,y / (u * z)). [hyper(62,a,9822,a(flip),b,9974,a)]. 9978 K(x,y * ((z \ x) * u)) = K(x,y * (z \ u)). [hyper(62,a,4688,a(flip),b,9976,a),flip(a)]. 9979 K(x,y * ((z \ x) / u)) = K(x,y * (z \ (u \ x))). [hyper(62,a,9940,a(flip),b,9978,a)]. 9980 K(x,y * (z \ ((z \ x) \ u))) = K(x,y * u). [para(10(a,1),9978(a,1,2,2)),flip(a)]. 9981 K(x,y * (z \ T(u,z \ x))) = K(x,y * (u * (z \ x))). [para(98(a,1),9978(a,1,2,2)),flip(a)]. 9982 K(x,y * ((z \ x) / u)) = K(x,y * (z \ (x / u))). [hyper(262,a,9941,a,b,9979,a),flip(a)]. 9983 K(x,y * L(z,u,u \ x)) = K(x,y * z). [para(9(a,1),9975(a,2,2,2))]. 9985 K(x,y * T((x / z) * u,u)) = K(x,y * (z \ T(u,z / x))). [hyper(62,a,6249,a,b,9983,a)]. 9986 K(x,y * (z \ L((z \ x) \ ((z \ x) / u),w,K(v5,v6)))) = K(x,y * ((x / z) / L(u,w,K(v5,v6)))). [hyper(62,a,9299,a(flip),b,9983,a),flip(a)]. 9987 K(x,y * (z \ T(u,z \ x))) = K(x,y * (u / z)). [hyper(262,a,9940,a(flip),b,9981,a),flip(a)]. 9989 K(x,y * T((x / z) * u,u)) = K(x,y * (z \ T(u,z \ x))). [hyper(262,a,9955,a(flip),b,9985,a),flip(a)]. 9990 K(x,y * (z \ T(u,z \ x))) = K(x,y * (u * (x / z))). [hyper(62,a,8070,a(flip),b,9989,a),flip(a)]. 9991 K(x,y * (z * (x / u))) = K(x,y * (z / u)). [hyper(62,a,9987,a(flip),b,9990,a),flip(a)]. 9992 (x \ 1) * (K(y,z) * ((x \ 1) \ u)) = x \ (K(y,z) * (x * u)). [hyper(262,a,9957,a(flip),b,9958,a),flip(a)]. 9993 K((x \ 1) / y,L(T(z,y * (K(u,w) * ((x \ 1) \ v5))),y,K(u,w) * ((x \ 1) \ v5))) = K(z,(x \ (K(u,w) * (x * v5))) \ (y * (K(u,w) * ((x \ 1) \ v5)))). [para(9992(a,1),7705(a,2,2,1))]. 9994 K(x / (y \ 1),L(z,u,x \ u)) = K(z,(T(x,y) \ ((y \ 1) / u)) * u). [hyper(9246,a,9966,a)]. 9995 K(x,T(y,z * (u / w)) \ (z / (u \ w))) = K(x,(z * T((w / u) \ 1,u)) / y). [hyper(62,a,9830,a(flip),b,9938,a)]. 9996 K(x,T(y,z * (u / w)) \ (z / (u \ w))) = K(x,(z * ((u \ w) \ 1)) / y). [para(2510(a,1),9995(a,2,2,1,2))]. 9997 K(x,T(y,z * (u / w)) \ (z / (u \ w))) = K(x,(z / (u \ w)) / y). [hyper(262,a,9873,a(flip),b,9996,a),flip(a)]. 9999 K(x,y * (z \ ((z \ x) \ ((z \ x) / u)))) = K(x,y * ((x / z) / L(u,w,K(v5,v6)))). [hyper(62,a,9942,a(flip),b,9986,a)]. 10000 K(x,y * (z \ ((z \ x) \ ((z \ x) / u)))) = K(x,y * ((x / z) / u)). [hyper(262,a,9129,a(flip),b,9999,a),flip(a)]. 10002 K(x,y * (z \ ((z \ x) \ ((z \ x) / u)))) = K(x,y / (u * z)). [hyper(262,a,9977,a(flip),b,10000,a),flip(a)]. 10003 K(x,y * ((z \ x) / u)) = K(x,y / (u * z)). [hyper(62,a,9980,a(flip),b,10002,a)]. 10005 K(x,y * (z \ (x / u))) = K(x,y / (u * z)). [hyper(62,a,9982,a(flip),b,10003,a)]. 10006 K(((x \ 1) * y) * (z \ 1),L(u,w,(K(z,x \ y) \ z) * w)) = K(u,w / ((z \ K(z,x \ y)) * (((x \ 1) * y) * w))). [hyper(9959,a,9893,a)]. 10007 K(((x \ 1) * y) * (z \ 1),L(u,w,(K(x \ y,z) * z) * w)) = K(u,w / ((z \ K(z,x \ y)) * (((x \ 1) * y) * w))). [para(2389(a,1),10006(a,1,2,3,1))]. 10008 K(((x \ 1) * y) * (z \ 1),L(u,w,(K(z,y \ x) * z) * w)) = K(u,w / ((z \ K(z,x \ y)) * (((x \ 1) * y) * w))). [para(3003(a,1),10007(a,1,2,3,1,1))]. 10009 K(((x \ 1) * y) * (z \ 1),L(u,w,T(z,y \ x) * w)) = K(u,w / ((z \ K(z,x \ y)) * (((x \ 1) * y) * w))). [para(2102(a,2),10008(a,1,2,3,1))]. 10010 K(x,y / ((z \ K(z,u \ w)) * (((u \ 1) * w) * y))) = K(((u \ 1) * w) * (z \ 1),L(x,y,z * y)). [hyper(9245,a,10009,a),flip(a)]. 10011 K(x,y / ((z \ K(z,u \ w)) * (((u \ 1) * w) * y))) = K(L(x,y,z * y),z / ((u \ 1) * w)). [hyper(262,a,7119,a(flip),b,10010,a),flip(a)]. 10012 K(x,y / ((z \ K(z,u \ w)) * (((u \ 1) * w) * y))) = K(L(x,y,z * y),z * (w \ u)). [hyper(262,a,9926,a(flip),b,10011,a),flip(a)]. 10013 K(x,y / ((z \ K(z,u \ w)) * (((u \ 1) * w) * y))) = K(x,L(z * (w \ u),y,z * y)). [hyper(262,a,6063,a(flip),b,10012,a),flip(a)]. 10014 K((x \ 1) / y,L(T(z,y * (K(u,w) * ((x \ 1) \ v5))),y,K(u,w) * (x * v5))) = K(z,(x \ (K(u,w) * (x * v5))) \ (y * (K(u,w) * ((x \ 1) \ v5)))). [hyper(9859,a,9993,a)]. 10015 K((x \ 1) / y,L(T(z,y * (K(u,w) * ((x \ 1) \ v5))),y,x * v5)) = K(z,(x \ (K(u,w) * (x * v5))) \ (y * (K(u,w) * ((x \ 1) \ v5)))). [hyper(9232,a,10014,a)]. 10016 K((x \ 1) / y,L(T(z,y * ((x \ 1) \ u)),y,x * u)) = K(z,(x \ (K(w,v5) * (x * u))) \ (y * (K(w,v5) * ((x \ 1) \ u)))). [hyper(8336,a,10015,a)]. 10018 K((x \ 1) / y,L(T(z,y * (x * u)),y,x * u)) = K(z,(x \ (K(w,v5) * (x * u))) \ (y * (K(w,v5) * ((x \ 1) \ u)))). [para(9849(a,1),10016(a,1,2,1))]. 10019 K(x,(y \ (K(z,u) * (y * w))) \ (v5 * (K(z,u) * ((y \ 1) \ w)))) = K(x,((y \ 1) * (y * w)) \ (v5 * (y * w))). [hyper(62,a,7705,a(flip),b,10018,a),flip(a)]. 10020 K(x,(y \ (K(z,u) * (y * w))) \ (v5 * (K(z,u) * ((y \ 1) \ w)))) = K(x,L(w,y,y \ 1) \ (v5 * (y * w))). [para(537(a,1),10019(a,2,2,1))]. 10021 K(x,(y \ (K(z,u) * (y * w))) \ (v5 * (K(z,u) * ((y \ 1) \ w)))) = K(x,w \ (v5 * (y * w))). [hyper(262,a,9827,a(flip),b,10020,a),flip(a)]. 10023 K(x,K(y,z) * ((u \ (K(z,y) * (u * w))) \ (v5 * ((u \ 1) \ w)))) = K(x,w \ (v5 * (u * w))). [hyper(62,a,9414,a(flip),b,10021,a)]. 10024 K(x / y,T(z,y * K(u,x \ (w \ (v5 \ (w * x)))))) = K(z,(w \ (K(v5,u) * (w * x))) \ (y * K(u,x \ (w \ (v5 \ (w * x)))))). [hyper(8831,a,7708,a)]. 10026 K(x / y,T(z,y)) = K(z,(u \ (K(w,v5) * (u * x))) \ (y * K(v5,x \ (u \ (w \ (u * x)))))). [hyper(62,a,8210,a(flip),b,10024,a)]. 10028 K(x,(y \ (K(z,u) * (y * w))) \ (v5 * K(u,w \ (y \ (z \ (y * w)))))) != v6 | K(x,w \ v5) = v6. [para(10026(a,1),3490(a,1))]. 10029 K(x,K(y \ (z \ (u \ (z * y))),w) * ((z \ (K(u,w) * (z * y))) \ v5)) = K(x,y \ v5). [hyper(10028,a,9384,a),flip(a)]. 10030 K(x,K(y,(z \ (u \ (z * w))) \ w) * ((z \ (K(u,y) * (z * w))) \ v5)) = K(x,w \ v5). [hyper(62,a,7818,a(flip),b,10029,a)]. 10031 K(x,K(y,z \ (u \ (w * (u * z)))) * ((u \ (K(w,y) * (u * z))) \ v5)) = K(x,z \ v5). [para(9548(a,1),10030(a,1,2,1))]. 10032 K(x,K(y,z) * ((u \ (K(z,y) * (u * w))) \ v5)) = K(x,w \ v5). [hyper(62,a,9578,a(flip),b,10031,a)]. 10034 K(x,y \ (z * ((u \ 1) \ y))) = K(x,y \ (z * (u * y))). [hyper(62,a,10023,a(flip),b,10032,a),flip(a)]. 10036 K(x,((y \ z) / (u \ 1)) * y) = K(x,y \ (z * (u * y))). [hyper(62,a,9950,a(flip),b,10034,a)]. 10037 K(x,y \ (z * (u * y))) = K(x,((y \ z) * u) * y). [hyper(62,a,9854,a(flip),b,10036,a),flip(a)]. 10038 K(x,((y \ z) * (u / y)) * y) = K(x,y \ (z * u)). [para(12(a,1),10037(a,1,2,2,2)),flip(a)]. 10039 K(x,K(y * (z * u),u)) * K(x,((u \ y) * z) * u) = K(x,(y * (z * u)) / u). [para(10037(a,1),4296(a,1,2))]. 10040 K(x,y \ ((y * z) * u)) = K(x,(z * (u / y)) * y). [para(9(a,1),10038(a,1,2,1,1)),flip(a)]. 10041 K(x,L(y * z,u,y * u)) = K(x,(y * (z / u)) * u). [hyper(9853,a,10040,a)]. 10042 K(x,y / ((z \ K(z,u \ w)) * (((u \ 1) * w) * y))) = K(x,(z * ((w \ u) / y)) * y). [hyper(62,a,10013,a,b,10041,a)]. 10043 K(x,K(y * z,u)) * K(x,((u \ y) * z) * u) = K(x,(y * (z * u)) / u). [para(5927(a,1),10039(a,1,1,2))]. 10044 K(x,K(y,z * u)) * K(x,((y \ z) * u) * y) = K(x,(z * (u * y)) / y). [para(3843(a,1),10043(a,1,1))]. 10045 K(x,(y * (z * u)) / u) = K(x,u * ((u \ y) * z)). [hyper(62,a,8665,a(flip),b,10044,a),flip(a)]. 10046 K(x,y * ((z \ y) \ u)) = K(x,y * ((y \ z) * u)). [hyper(62,a,9924,a(flip),b,10045,a)]. 10047 K(x,y * ((z \ y) \ (x / u))) = K(x,y * ((y \ z) / u)). [hyper(262,a,9991,a(flip),b,10046,a),flip(a)]. 10048 K(x,y / (z * (u \ y))) = K(x,y * ((y \ u) / z)). [hyper(62,a,10005,a(flip),b,10047,a)]. 10049 K(x,L(y / z,u,z \ u)) = K(x,u * ((u \ y) / z)). [hyper(62,a,9599,a,b,10048,a)]. 10050 K(x,y * ((y \ (z \ 1)) / u)) = K(x,y / (u * (z * y))). [hyper(62,a,9888,a(flip),b,10048,a),flip(a)]. 10051 K(x / y,L(z,u,x \ u)) = K(z,u * ((u \ y) / x)). [hyper(6067,a,10049,a)]. 10052 K(x,(T(y,z) \ ((z \ 1) / u)) * u) = K(x,u * ((u \ (z \ 1)) / y)). [hyper(62,a,9994,a(flip),b,10051,a)]. 10053 K(x,(T(y,z) \ ((z \ 1) / u)) * u) = K(x,u / (y * (z * u))). [hyper(262,a,10050,a(flip),b,10052,a),flip(a)]. 10054 K(x,y \ ((y / T(z,u)) / u)) = K(x,y / (z * (u * y))). [hyper(62,a,9964,a(flip),b,10053,a)]. 10055 K(x,y / ((z \ K(z,u)) * (u * y))) = K(x,y \ ((y / (z \ 1)) / u)). [para(2519(a,1),10054(a,1,2,2,1,2)),flip(a)]. 10056 K(x,y / ((z \ K(z,u)) * (u * y))) = K(x,(z / (y * u)) * y). [hyper(262,a,9952,a(flip),b,10055,a),flip(a)]. 10057 K(x,y / ((z \ K(z,u \ w)) * ((u \ w) * y))) = K(x,(z * ((w \ u) / y)) * y). [hyper(62,a,9896,a(flip),b,10042,a)]. 10058 K(x,(y / (z * (u \ w))) * z) = K(x,(y * ((w \ u) / z)) * z). [hyper(62,a,10056,a(flip),b,10057,a)]. 10059 K(x,((y \ z) * ((u \ w) / y)) * y) = K(x,y \ (z / (w \ u))). [hyper(62,a,9954,a(flip),b,10058,a),flip(a)]. 10060 K(x,y \ (z / (u \ w))) = K(x,y \ (z * (w \ u))). [hyper(62,a,10038,a(flip),b,10059,a),flip(a)]. 10061 K(x,T(y,z * (u / w)) \ (z * (w \ u))) = K(x,(z / (u \ w)) / y). [hyper(62,a,9997,a(flip),b,10060,a),flip(a)]. 10063 K(x,(y / (z \ u)) / w) = K(x,(y * (u \ z)) / w). [hyper(62,a,9628,a(flip),b,10061,a),flip(a)]. 10064 a(x \ y,y,K(z,u \ w)) * K(z,(x * (u \ w)) / y) = K(z,x / (y * (w \ u))). [para(10063(a,1),9190(a,1,2))]. 10065 K(x,L((y * (z \ u)) / w,w,w \ y)) = K(x,y / (w * (u \ z))). [hyper(62,a,9572,a(flip),b,10064,a)]. 10066 K(x,y / (z * (u \ w))) = K(x,y * ((w \ u) / z)). [hyper(62,a,9932,a(flip),b,10065,a),flip(a)]. 10068 K(x,y / (T(z,u \ w) * (w \ u))) = K(x,y * (z \ (u \ w))). [para(637(a,1),10066(a,2,2,2))]. 10069 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [para(3120(a,1),10068(a,1,2,2))]. 10070 K(x,(y \ (z * u)) * (u \ (z \ y))) = a(x,z,K(u,y)). [hyper(7791,a,10069,a),flip(a)]. 10072 a(x \ y,x,K(z,u)) = a(z,u,K(y,x)). [hyper(62,a,9930,a(flip),b,10070,a)]. 10073 L(x,K(y,z),u \ 1) = a(y,z,K(x,u)) * x. [para(10072(a,1),9885(a,1,1)),flip(a)]. 10074 L(x,K(y,z),u \ 1) = L(x,z,K(u,y)). [hyper(262,a,9120,a(flip),b,10073,a),flip(a)]. 10075 L(x,y,K(L(z \ 1,T(T(z,u),w),x),v5)) = L(x,K(v5,y),z). [hyper(9915,a,10074,a),flip(a)]. 10077 L(x,y,K(z \ 1,L(u,T(T(z,w),v5),x))) = L(x,K(u,y),z). [para(6063(a,1),10075(a,1,3))]. 10078 L(x,y,K(z \ 1,L(u,z,x))) = L(x,K(u,y),z). [para(889(a,1),10077(a,1,3,2,2))]. 10079 L(x,y,K(z,L(u,u,x))) = L(x,K(z,y),u). [para(6060(a,1),10078(a,1,3))]. 10080 L(x,K(y,z),u) = L(x,z,K(y,u)). [para(6038(a,1),10079(a,1,3)),flip(a)]. 10082 a(x,K(y,z),K(z,y) * u) = (x * u) \ (x * L(u,y,K(z,x))). [para(10080(a,1),7773(a,2,2,2))]. 10083 a(x,K(y,z),K(z,y) * u) = (x * u) \ L(x * u,y,K(z,x)). [para(9128(a,2),10082(a,2,2))]. 10084 a(x * y,z,K(u,x)) = a(x,K(z,u),K(u,z) * y). [hyper(262,a,9119,a(flip),b,10083,a)]. 10085 a(x,K(y,z),K(z,y) * u) = a(u,y,K(z,x)). [hyper(62,a,7215,a(flip),b,10084,a),flip(a)]. 10086 a(x,K(y,z),K(z,y) * (K(u,w) * v5)) = a(x,y,K(v5,z)). [hyper(262,a,9262,a(flip),b,10085,a),flip(a)]. 10087 a(x,K(y,z),u) = a(x,y,K(u,z)). [para(2383(a,1),10086(a,1,3))]. 10088 $F # answer("aK2_eq_aK3 (1243)"). [resolve(10087,a,63,a)]. ============================== end of proof ==========================